LMFDB - Embedded newform 300.2.w.a.163.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(67,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 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("300.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.w (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			163.16
Character	$\chi$	$=$	300.163
Dual form			300.2.w.a.127.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0781043 - 1.41206i) q^{2} +(0.891007 + 0.453990i) q^{3} +(-1.98780 - 0.220575i) q^{4} +(-1.27726 + 1.83538i) q^{5} +(0.710651 - 1.22269i) q^{6} +(3.58459 + 3.58459i) q^{7} +(-0.466720 + 2.78965i) q^{8} +(0.587785 + 0.809017i) q^{9} +O(q^{10})$	\(q+(0.0781043 - 1.41206i) q^{2} +(0.891007 + 0.453990i) q^{3} +(-1.98780 - 0.220575i) q^{4} +(-1.27726 + 1.83538i) q^{5} +(0.710651 - 1.22269i) q^{6} +(3.58459 + 3.58459i) q^{7} +(-0.466720 + 2.78965i) q^{8} +(0.587785 + 0.809017i) q^{9} +(2.49189 + 1.94691i) q^{10} +(-2.14789 + 2.95632i) q^{11} +(-1.67100 - 1.09898i) q^{12} +(-2.29513 - 0.363512i) q^{13} +(5.34161 - 4.78167i) q^{14} +(-1.97129 + 1.05547i) q^{15} +(3.90269 + 0.876918i) q^{16} +(0.0789506 + 0.154949i) q^{17} +(1.18829 - 0.766797i) q^{18} +(2.48237 - 7.63995i) q^{19} +(2.94378 - 3.36663i) q^{20} +(1.56652 + 4.82127i) q^{21} +(4.00672 + 3.26384i) q^{22} +(3.36266 - 0.532593i) q^{23} +(-1.68233 + 2.27371i) q^{24} +(-1.73721 - 4.68851i) q^{25} +(-0.692558 + 3.21245i) q^{26} +(0.156434 + 0.987688i) q^{27} +(-6.33478 - 7.91612i) q^{28} +(-3.85226 + 1.25167i) q^{29} +(1.33641 + 2.86601i) q^{30} +(6.48919 + 2.10846i) q^{31} +(1.54307 - 5.44233i) q^{32} +(-3.25592 + 1.65898i) q^{33} +(0.224963 - 0.0993804i) q^{34} +(-11.1575 + 2.00061i) q^{35} +(-0.989950 - 1.73781i) q^{36} +(-0.376041 + 2.37423i) q^{37} +(-10.5941 - 4.10196i) q^{38} +(-1.87994 - 1.36586i) q^{39} +(-4.52394 - 4.41972i) q^{40} +(-1.04472 + 0.759030i) q^{41} +(6.93024 - 1.83546i) q^{42} +(1.11142 - 1.11142i) q^{43} +(4.92166 - 5.40279i) q^{44} +(-2.23561 + 0.0454810i) q^{45} +(-0.489413 - 4.78986i) q^{46} +(2.44309 - 4.79484i) q^{47} +(3.07921 + 2.55313i) q^{48} +18.6986i q^{49} +(-6.75611 + 2.08684i) q^{50} +0.173904i q^{51} +(4.48207 + 1.22884i) q^{52} +(5.47602 - 10.7473i) q^{53} +(1.40689 - 0.143751i) q^{54} +(-2.68254 - 7.71817i) q^{55} +(-11.6728 + 8.32677i) q^{56} +(5.68027 - 5.68027i) q^{57} +(1.46656 + 5.53736i) q^{58} +(-8.45350 + 6.14182i) q^{59} +(4.15134 - 1.66324i) q^{60} +(3.26236 + 2.37025i) q^{61} +(3.48410 - 8.99841i) q^{62} +(-0.793026 + 5.00697i) q^{63} +(-7.56434 - 2.60397i) q^{64} +(3.59866 - 3.74812i) q^{65} +(2.08826 + 4.72711i) q^{66} +(6.44454 - 3.28366i) q^{67} +(-0.122760 - 0.325423i) q^{68} +(3.23795 + 1.05207i) q^{69} +(1.95353 + 15.9113i) q^{70} +(2.21118 - 0.718455i) q^{71} +(-2.53121 + 1.26213i) q^{72} +(-0.489747 - 3.09214i) q^{73} +(3.32318 + 0.716429i) q^{74} +(0.580674 - 4.96617i) q^{75} +(-6.61964 + 14.6391i) q^{76} +(-18.2965 + 2.89788i) q^{77} +(-2.07550 + 2.54790i) q^{78} +(1.57257 + 4.83988i) q^{79} +(-6.59423 + 6.04286i) q^{80} +(-0.309017 + 0.951057i) q^{81} +(0.990196 + 1.53448i) q^{82} +(-4.71681 - 9.25727i) q^{83} +(-2.05048 - 9.92924i) q^{84} +(-0.385231 - 0.0530066i) q^{85} +(-1.48259 - 1.65620i) q^{86} +(-4.00064 - 0.633638i) q^{87} +(-7.24464 - 7.37164i) q^{88} +(-0.271710 + 0.373976i) q^{89} +(-0.110389 + 3.16035i) q^{90} +(-6.92404 - 9.53013i) q^{91} +(-6.80178 + 0.316969i) q^{92} +(4.82469 + 4.82469i) q^{93} +(-6.57976 - 3.82428i) q^{94} +(10.8515 + 14.3143i) q^{95} +(3.84565 - 4.14861i) q^{96} +(-7.98438 - 4.06824i) q^{97} +(26.4035 + 1.46044i) q^{98} -3.65421 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q + 12 q^{8}+O(q^{10}) $ 240 * q + 12 * q^8	$ 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) $ 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$1$	$-1$	$e\left(\frac{19}{20}\right)$

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 $

$2$	0.0781043	−	1.41206i	0.0552281	−	0.998474i
$2$	0.0781043	−	1.41206i	0.0552281	−	0.998474i
$3$	0.891007	+	0.453990i	0.514423	+	0.262112i
$3$	0.891007	+	0.453990i	0.514423	+	0.262112i
$4$	−1.98780	−	0.220575i	−0.993900	−	0.110288i
$5$	−1.27726	+	1.83538i	−0.571208	+	0.820805i
$5$	−1.27726	+	1.83538i	−0.571208	+	0.820805i
$6$	0.710651	−	1.22269i	0.290122	−	0.499162i
$7$	3.58459	+	3.58459i	1.35485	+	1.35485i	0.880147	+	0.474702i	$0.157444\pi$
$7$	3.58459	+	3.58459i	1.35485	+	1.35485i	0.474702	+	0.880147i	$0.342556\pi$
$8$	−0.466720	+	2.78965i	−0.165010	+	0.986292i
$9$	0.587785	+	0.809017i	0.195928	+	0.269672i
$10$	2.49189	+	1.94691i	0.788006	+	0.615668i
$11$	−2.14789	+	2.95632i	−0.647613	+	0.891363i	−0.998993	−	0.0448703i	$-0.985713\pi$
$11$	−2.14789	+	2.95632i	−0.647613	+	0.891363i	0.351380	+	0.936233i	$0.385713\pi$
$12$	−1.67100	−	1.09898i	−0.482377	−	0.317247i
$13$	−2.29513	−	0.363512i	−0.636553	−	0.100820i	−0.170187	−	0.985412i	$-0.554437\pi$
$13$	−2.29513	−	0.363512i	−0.636553	−	0.100820i	−0.466366	+	0.884592i	$0.654437\pi$
$14$	5.34161	−	4.78167i	1.42761	−	1.27795i
$15$	−1.97129	+	1.05547i	−0.508985	+	0.272521i
$16$	3.90269	+	0.876918i	0.975673	+	0.219230i
$17$	0.0789506	+	0.154949i	0.0191483	+	0.0375807i	0.900383	−	0.435099i	$-0.143287\pi$
$17$	0.0789506	+	0.154949i	0.0191483	+	0.0375807i	−0.881234	+	0.472680i	$0.843287\pi$
$18$	1.18829	−	0.766797i	0.280081	−	0.180736i
$19$	2.48237	−	7.63995i	0.569495	−	1.75272i	−0.0847083	−	0.996406i	$-0.526996\pi$
$19$	2.48237	−	7.63995i	0.569495	−	1.75272i	0.654203	−	0.756319i	$-0.273004\pi$
$20$	2.94378	−	3.36663i	0.658249	−	0.752801i
$21$	1.56652	+	4.82127i	0.341844	+	1.05209i
$22$	4.00672	+	3.26384i	0.854236	+	0.695853i
$23$	3.36266	−	0.532593i	0.701164	−	0.111053i	0.204334	−	0.978901i	$-0.434497\pi$
$23$	3.36266	−	0.532593i	0.701164	−	0.111053i	0.496830	+	0.867848i	$0.334497\pi$
$24$	−1.68233	+	2.27371i	−0.343404	+	0.464120i
$25$	−1.73721	−	4.68851i	−0.347442	−	0.937702i
$26$	−0.692558	+	3.21245i	−0.135822	+	0.630014i
$27$	0.156434	+	0.987688i	0.0301058	+	0.190081i
$28$	−6.33478	−	7.91612i	−1.19716	−	1.49601i
$29$	−3.85226	+	1.25167i	−0.715346	+	0.232430i	−0.644004	−	0.765022i	$-0.722728\pi$
$29$	−3.85226	+	1.25167i	−0.715346	+	0.232430i	−0.0713420	+	0.997452i	$0.522728\pi$
$30$	1.33641	+	2.86601i	0.243994	+	0.523259i
$31$	6.48919	+	2.10846i	1.16549	+	0.378691i	0.826959	−	0.562263i	$-0.190069\pi$
$31$	6.48919	+	2.10846i	1.16549	+	0.378691i	0.338534	+	0.940954i	$0.390069\pi$
$32$	1.54307	−	5.44233i	0.272780	−	0.962077i
$33$	−3.25592	+	1.65898i	−0.566783	+	0.288791i
$34$	0.224963	−	0.0993804i	0.0385809	−	0.0170436i
$35$	−11.1575	+	2.00061i	−1.88597	+	0.338166i
$36$	−0.989950	−	1.73781i	−0.164992	−	0.289636i
$37$	−0.376041	+	2.37423i	−0.0618208	+	0.390321i	0.937305	+	0.348511i	$0.113313\pi$
$37$	−0.376041	+	2.37423i	−0.0618208	+	0.390321i	−0.999126	+	0.0418104i	$0.986687\pi$
$38$	−10.5941	−	4.10196i	−1.71860	−	0.665425i
$39$	−1.87994	−	1.36586i	−0.301031	−	0.218712i
$40$	−4.52394	−	4.41972i	−0.715298	−	0.698820i
$41$	−1.04472	+	0.759030i	−0.163157	+	0.118541i	−0.666368	−	0.745623i	$-0.732152\pi$
$41$	−1.04472	+	0.759030i	−0.163157	+	0.118541i	0.503211	+	0.864164i	$0.332152\pi$
$42$	6.93024	−	1.83546i	1.06936	−	0.283217i
$43$	1.11142	−	1.11142i	0.169491	−	0.169491i	−0.617265	−	0.786755i	$-0.711759\pi$
$43$	1.11142	−	1.11142i	0.169491	−	0.169491i	0.786755	+	0.617265i	$0.211759\pi$
$44$	4.92166	−	5.40279i	0.741968	−	0.814501i
$45$	−2.23561	+	0.0454810i	−0.333264	+	0.00677991i
$46$	−0.489413	−	4.78986i	−0.0721600	−	0.706227i
$47$	2.44309	−	4.79484i	0.356362	−	0.699399i	−0.641333	−	0.767263i	$-0.721618\pi$
$47$	2.44309	−	4.79484i	0.356362	−	0.699399i	0.997695	+	0.0678636i	$0.0216183\pi$
$48$	3.07921	+	2.55313i	0.444446	+	0.368512i
$49$			18.6986i			2.67123i
$50$	−6.75611	+	2.08684i	−0.955459	+	0.295124i
$51$			0.173904i			0.0243514i
$52$	4.48207	+	1.22884i	0.621551	+	0.170409i
$53$	5.47602	−	10.7473i	0.752189	−	1.47625i	−0.122966	−	0.992411i	$-0.539241\pi$
$53$	5.47602	−	10.7473i	0.752189	−	1.47625i	0.875155	−	0.483842i	$-0.160759\pi$
$54$	1.40689	−	0.143751i	0.191453	−	0.0195621i
$55$	−2.68254	−	7.71817i	−0.361713	−	1.04072i
$56$	−11.6728	+	8.32677i	−1.55984	+	1.11271i
$57$	5.68027	−	5.68027i	0.752371	−	0.752371i
$58$	1.46656	+	5.53736i	0.192568	+	0.727091i
$59$	−8.45350	+	6.14182i	−1.10055	+	0.799597i	−0.981150	−	0.193249i	$-0.938098\pi$
$59$	−8.45350	+	6.14182i	−1.10055	+	0.799597i	−0.119402	+	0.992846i	$0.538098\pi$
$60$	4.15134	−	1.66324i	0.535936	−	0.214723i
$61$	3.26236	+	2.37025i	0.417703	+	0.303479i	0.776713	−	0.629855i	$-0.216886\pi$
$61$	3.26236	+	2.37025i	0.417703	+	0.303479i	−0.359010	+	0.933334i	$0.616886\pi$
$62$	3.48410	−	8.99841i	0.442481	−	1.14280i
$63$	−0.793026	+	5.00697i	−0.0999118	+	0.630818i
$64$	−7.56434	−	2.60397i	−0.945543	−	0.325497i
$65$	3.59866	−	3.74812i	0.446358	−	0.464897i
$66$	2.08826	+	4.72711i	0.257047	+	0.581868i
$67$	6.44454	−	3.28366i	0.787326	−	0.401163i	−0.0136140	−	0.999907i	$-0.504334\pi$
$67$	6.44454	−	3.28366i	0.787326	−	0.401163i	0.800940	+	0.598745i	$0.204334\pi$
$68$	−0.122760	−	0.325423i	−0.0148868	−	0.0394633i
$69$	3.23795	+	1.05207i	0.389803	+	0.126655i
$70$	1.95353	+	15.9113i	0.233491	+	1.90177i
$71$	2.21118	−	0.718455i	0.262419	−	0.0852650i	−0.174853	−	0.984595i	$-0.555945\pi$
$71$	2.21118	−	0.718455i	0.262419	−	0.0852650i	0.437271	+	0.899330i	$0.355945\pi$
$72$	−2.53121	+	1.26213i	−0.298306	+	0.148744i
$73$	−0.489747	−	3.09214i	−0.0573205	−	0.361908i	−0.999631	−	0.0271671i	$-0.991351\pi$
$73$	−0.489747	−	3.09214i	−0.0573205	−	0.361908i	0.942310	−	0.334740i	$-0.108649\pi$
$74$	3.32318	+	0.716429i	0.386311	+	0.0832831i
$75$	0.580674	−	4.96617i	0.0670504	−	0.573444i
$76$	−6.61964	+	14.6391i	−0.759324	+	1.67922i
$77$	−18.2965	+	2.89788i	−2.08508	+	0.330244i
$78$	−2.07550	+	2.54790i	−0.235004	+	0.288493i
$79$	1.57257	+	4.83988i	0.176928	+	0.544529i	0.999716	−	0.0238193i	$-0.00758264\pi$
$79$	1.57257	+	4.83988i	0.176928	+	0.544529i	−0.822788	+	0.568348i	$0.807583\pi$
$80$	−6.59423	+	6.04286i	−0.737258	+	0.675612i
$81$	−0.309017	+	0.951057i	−0.0343352	+	0.105673i
$82$	0.990196	+	1.53448i	0.109349	+	0.169455i
$83$	−4.71681	−	9.25727i	−0.517738	−	1.01612i	−0.990831	−	0.135105i	$-0.956863\pi$
$83$	−4.71681	−	9.25727i	−0.517738	−	1.01612i	0.473094	−	0.881012i	$-0.343137\pi$
$84$	−2.05048	−	9.92924i	−0.223726	−	1.08337i
$85$	−0.385231	−	0.0530066i	−0.0417841	−	0.00574938i
$86$	−1.48259	−	1.65620i	−0.159871	−	0.178593i
$87$	−4.00064	−	0.633638i	−0.428913	−	0.0679332i
$88$	−7.24464	−	7.37164i	−0.772281	−	0.785819i
$89$	−0.271710	+	0.373976i	−0.0288012	+	0.0396414i	−0.823175	−	0.567788i	$-0.807799\pi$
$89$	−0.271710	+	0.373976i	−0.0288012	+	0.0396414i	0.794374	+	0.607430i	$0.207799\pi$
$90$	−0.110389	+	3.16035i	−0.0116360	+	0.333130i
$91$	−6.92404	−	9.53013i	−0.725837	−	0.999029i
$92$	−6.80178	+	0.316969i	−0.709134	+	0.0330463i
$93$	4.82469	+	4.82469i	0.500297	+	0.500297i
$94$	−6.57976	−	3.82428i	−0.678650	−	0.394444i
$95$	10.8515	+	14.3143i	1.11335	+	1.46862i
$96$	3.84565	−	4.14861i	0.392495	−	0.423416i
$97$	−7.98438	−	4.06824i	−0.810691	−	0.413067i	−0.00105434	−	0.999999i	$-0.500336\pi$
$97$	−7.98438	−	4.06824i	−0.810691	−	0.413067i	−0.809636	+	0.586932i	$0.800336\pi$
$98$	26.4035	+	1.46044i	2.66715	+	0.147527i
$99$	−3.65421			−0.367262
$100$	2.41905	+	9.70300i	0.241905	+	0.970300i
$101$	13.9581			1.38889			0.694443	−	0.719548i	$-0.255651\pi$
$101$	13.9581			1.38889			0.694443	+	0.719548i	$0.255651\pi$
$102$	0.245561	+	0.0135826i	0.0243142	+	0.00134488i
$103$	−1.74857	−	0.890942i	−0.172292	−	0.0877872i	0.365718	−	0.930726i	$-0.380824\pi$
$103$	−1.74857	−	0.890942i	−0.172292	−	0.0877872i	−0.538010	+	0.842939i	$0.680824\pi$
$104$	2.08525	−	6.23295i	0.204476	−	0.611191i
$105$	−10.8497	−	3.28285i	−1.05882	−	0.320374i
$106$	−14.7481	−	8.57185i	−1.43246	−	0.832571i
$107$	1.69891	+	1.69891i	0.164239	+	0.164239i	0.784442	−	0.620202i	$-0.212950\pi$
$107$	1.69891	+	1.69891i	0.164239	+	0.164239i	−0.620202	+	0.784442i	$0.712950\pi$
$108$	−0.0931008	−	1.99783i	−0.00895863	−	0.192241i
$109$	−7.28790	−	10.0309i	−0.698054	−	0.960790i	−0.999972	−	0.00745557i	$-0.997627\pi$
$109$	−7.28790	−	10.0309i	−0.698054	−	0.960790i	0.301918	−	0.953334i	$-0.402373\pi$
$110$	−11.1080	+	3.18507i	−1.05911	+	0.303684i
$111$	−1.41293	+	1.94474i	−0.134110	+	0.184586i
$112$	10.8462	+	17.1330i	1.02487	+	1.61891i
$113$	−2.53451	−	0.401427i	−0.238427	−	0.0377631i	0.0360775	−	0.999349i	$-0.488514\pi$
$113$	−2.53451	−	0.401427i	−0.238427	−	0.0377631i	−0.274504	+	0.961586i	$0.588514\pi$
$114$	−7.57720	−	8.46451i	−0.709670	−	0.792774i
$115$	−3.31749	+	6.85201i	−0.309357	+	0.638953i
$116$	7.93360	−	1.63837i	0.736617	−	0.152118i
$117$	−1.05495	−	2.07046i	−0.0975305	−	0.191414i
$118$	8.01234	+	12.4165i	0.737596	+	1.14303i
$119$	−0.272424	+	0.838435i	−0.0249731	+	0.0768593i
$120$	−2.02435	−	5.99183i	−0.184797	−	0.546977i
$121$	−0.727187	−	2.23805i	−0.0661079	−	0.203459i
$122$	3.60172	−	4.42151i	0.326085	−	0.400305i
$123$	−1.27544	+	0.202010i	−0.115003	+	0.0182146i
$124$	−12.4341	−	5.62256i	−1.11662	−	0.504921i
$125$	10.8240	+	2.80002i	0.968132	+	0.250441i
$126$	7.00817	+	1.51086i	0.624338	+	0.134598i
$127$	0.925072	+	5.84068i	0.0820869	+	0.518276i	0.994131	+	0.108184i	$0.0345035\pi$
$127$	0.925072	+	5.84068i	0.0820869	+	0.518276i	−0.912044	+	0.410092i	$0.865496\pi$
$128$	−4.26776	+	10.4779i	−0.377221	+	0.926123i
$129$	1.49486	−	0.485710i	0.131615	−	0.0427644i
$130$	−5.01148	−	5.37424i	−0.439536	−	0.471352i
$131$	7.60143	+	2.46985i	0.664140	+	0.215792i	0.621639	−	0.783304i	$-0.286467\pi$
$131$	7.60143	+	2.46985i	0.664140	+	0.215792i	0.0425014	+	0.999096i	$0.486467\pi$
$132$	6.83805	−	2.57953i	0.595176	−	0.224520i
$133$	36.2844	−	18.4878i	3.14626	−	1.60310i
$134$	−4.13336	−	9.35651i	−0.357068	−	0.808280i
$135$	−2.01259	−	0.974420i	−0.173216	−	0.0838647i
$136$	−0.469103	+	0.147927i	−0.0402252	+	0.0126846i
$137$	1.34244	−	8.47586i	0.114693	−	0.724141i	−0.861584	−	0.507615i	$-0.830527\pi$
$137$	1.34244	−	8.47586i	0.114693	−	0.724141i	0.976277	−	0.216526i	$-0.0694728\pi$
$138$	1.73848	−	4.48999i	0.147989	−	0.382213i
$139$	6.00917	+	4.36592i	0.509691	+	0.370312i	0.812706	−	0.582674i	$-0.197993\pi$
$139$	6.00917	+	4.36592i	0.509691	+	0.370312i	−0.303015	+	0.952986i	$0.597993\pi$
$140$	22.6202	−	1.51575i	1.91176	−	0.128104i
$141$	4.35362	−	3.16309i	0.366641	−	0.266380i
$142$	−0.841796	−	3.17842i	−0.0706420	−	0.266727i
$143$	6.00433	−	6.00433i	0.502107	−	0.502107i
$144$	1.58450	+	3.67278i	0.132042	+	0.306065i
$145$	2.62305	−	8.66906i	0.217832	−	0.719926i
$146$	−4.40452	+	0.450040i	−0.364521	+	0.0372456i
$147$	−8.48899	+	16.6606i	−0.700160	+	1.37414i
$148$	1.27119	−	4.63655i	0.104491	−	0.381122i
$149$		−	2.32631i		−	0.190579i	−0.995450	−	0.0952895i	$-0.969622\pi$
$149$		−	2.32631i		−	0.190579i	0.995450	−	0.0952895i	$-0.0303777\pi$
$150$	−6.96715	−	1.20782i	−0.568865	−	0.0986183i
$151$		−	0.484681i		−	0.0394428i	−0.999806	−	0.0197214i	$-0.993722\pi$
$151$		−	0.484681i		−	0.0394428i	0.999806	−	0.0197214i	$-0.00627792\pi$
$152$	20.1542	+	10.4907i	1.63473	+	0.850906i
$153$	−0.0789506	+	0.154949i	−0.00638278	+	0.0125269i
$154$	2.66293	+	26.0620i	0.214585	+	2.10013i
$155$	−12.1582	+	9.21704i	−0.976571	+	0.740330i
$156$	3.43567	+	3.12972i	0.275074	+	0.250578i
$157$	−0.830154	+	0.830154i	−0.0662535	+	0.0662535i	−0.739457	−	0.673204i	$-0.764918\pi$
$157$	−0.830154	+	0.830154i	−0.0662535	+	0.0662535i	0.673204	+	0.739457i	$0.264918\pi$
$158$	6.95700	−	1.84254i	0.553469	−	0.146585i
$159$	9.75833	−	7.08984i	0.773886	−	0.562261i
$160$	8.01781	+	9.78339i	0.633863	+	0.773445i
$161$	13.9629	+	10.1446i	1.10043	+	0.799510i
$162$	1.31881	+	0.510631i	0.103615	+	0.0401189i
$163$	0.817862	−	5.16378i	0.0640599	−	0.404458i	−0.934734	−	0.355349i	$-0.884362\pi$
$163$	0.817862	−	5.16378i	0.0640599	−	0.404458i	0.998793	−	0.0491088i	$-0.0156381\pi$
$164$	2.24411	−	1.27836i	0.175235	−	0.0998233i
$165$	1.11382	−	8.09478i	0.0867107	−	0.630178i
$166$	−13.4402	+	5.93737i	−1.04316	+	0.460829i
$167$	4.98818	−	2.54161i	0.385997	−	0.196675i	−0.250214	−	0.968191i	$-0.580501\pi$
$167$	4.98818	−	2.54161i	0.385997	−	0.196675i	0.636211	+	0.771515i	$0.280501\pi$
$168$	−14.1808	+	2.11988i	−1.09407	+	0.163552i
$169$	−7.22828	−	2.34861i	−0.556021	−	0.180662i
$170$	−0.104936	+	0.539827i	−0.00804826	+	0.0414028i
$171$	7.63995	−	2.48237i	0.584242	−	0.189832i
$172$	−2.45444	+	1.96414i	−0.187149	+	0.149764i
$173$	1.74772	+	11.0347i	0.132877	+	0.838951i	0.960624	+	0.277850i	$0.0896219\pi$
$173$	1.74772	+	11.0347i	0.132877	+	0.838951i	−0.827748	+	0.561101i	$0.810378\pi$
$174$	−1.20720	+	5.59963i	−0.0915175	+	0.424507i
$175$	10.5792	−	23.0336i	0.799712	−	1.74117i
$176$	−10.9750	+	9.65407i	−0.827272	+	0.727703i
$177$	−10.3204	+	1.63460i	−0.775732	+	0.122864i
$178$	0.506853	+	0.412878i	0.0379903	+	0.0309465i
$179$	−4.77193	−	14.6865i	−0.356671	−	1.09772i	−0.955035	−	0.296495i	$-0.904182\pi$
$179$	−4.77193	−	14.6865i	−0.356671	−	1.09772i	0.598364	−	0.801224i	$-0.295818\pi$
$180$	4.45397	+	0.402712i	0.331979	+	0.0300164i
$181$	4.03056	−	12.4048i	0.299589	−	0.922040i	−0.682052	−	0.731303i	$-0.738912\pi$
$181$	4.03056	−	12.4048i	0.299589	−	0.922040i	0.981641	−	0.190737i	$-0.0610877\pi$
$182$	−13.9979	+	9.03279i	−1.03759	+	0.669555i
$183$	1.83072	+	3.59299i	0.135331	+	0.265601i
$184$	−0.0836700	+	9.62924i	−0.00616823	+	0.709877i
$185$	−3.87730	−	3.72269i	−0.285065	−	0.273698i
$186$	7.18955	−	6.43589i	0.527163	−	0.471903i
$187$	−0.627656	−	0.0994109i	−0.0458987	−	0.00726965i
$188$	−5.91400	+	8.99229i	−0.431323	+	0.655830i
$189$	−2.97971	+	4.10121i	−0.216742	+	0.298319i
$190$	21.0601	−	14.2050i	1.52786	−	1.03054i
$191$	−3.56464	−	4.90630i	−0.257928	−	0.355007i	0.660340	−	0.750967i	$-0.270412\pi$
$191$	−3.56464	−	4.90630i	−0.257928	−	0.355007i	−0.918268	+	0.395959i	$0.870412\pi$
$192$	−5.55770	−	5.75430i	−0.401093	−	0.415281i
$193$	−15.5167	−	15.5167i	−1.11692	−	1.11692i	−0.992191	−	0.124726i	$-0.960195\pi$
$193$	−15.5167	−	15.5167i	−1.11692	−	1.11692i	−0.124726	−	0.992191i	$-0.539805\pi$
$194$	−6.36820	+	10.9566i	−0.457210	+	0.786640i
$195$	4.90804	−	1.70584i	0.351472	−	0.122158i
$196$	4.12445	−	37.1691i	0.294603	−	2.65493i
$197$	−5.39911	−	2.75099i	−0.384671	−	0.196000i	0.250952	−	0.968000i	$-0.419256\pi$
$197$	−5.39911	−	2.75099i	−0.384671	−	0.196000i	−0.635623	+	0.772000i	$0.719256\pi$
$198$	−0.285409	+	5.15994i	−0.0202832	+	0.366701i
$199$	8.50614			0.602984			0.301492	−	0.953469i	$-0.402515\pi$
$199$	8.50614			0.602984			0.301492	+	0.953469i	$0.402515\pi$
$200$	13.8901	−	2.65799i	0.982179	−	0.187948i
$201$	7.23288			0.510168
$202$	1.09019	−	19.7097i	0.0767055	−	1.38677i
$203$	−18.2955	−	9.32203i	−1.28409	−	0.654278i
$204$	0.0383588	−	0.345686i	0.00268565	−	0.0242028i
$205$	−0.0587314	−	2.88692i	−0.00410198	−	0.201632i
$206$	−1.39463	+	2.39950i	−0.0971685	+	0.167181i
$207$	2.40740	+	2.40740i	0.167326	+	0.167326i
$208$	−8.63840	−	3.43131i	−0.598965	−	0.237919i
$209$	17.2542	+	23.7484i	1.19350	+	1.64271i
$210$	−5.48298	+	15.0640i	−0.378361	+	1.03951i
$211$	−14.0641	+	19.3576i	−0.968216	+	1.33263i	−0.0252730	+	0.999681i	$0.508046\pi$
$211$	−14.0641	+	19.3576i	−0.968216	+	1.33263i	−0.942943	+	0.332954i	$0.891954\pi$
$212$	−13.2558	+	20.1556i	−0.910412	+	1.38429i
$213$	2.29635	+	0.363706i	0.157343	+	0.0249207i
$214$	2.53164	−	2.26626i	0.173059	−	0.154918i
$215$	0.620303	+	3.45946i	0.0423043	+	0.235933i
$216$	−2.82832	−	0.0245757i	−0.192443	−	0.00167217i
$217$	15.7031	+	30.8191i	1.06600	+	2.09214i
$218$	−14.7335	+	9.50746i	−0.997875	+	0.643927i
$219$	0.967434	−	2.97746i	0.0653731	−	0.201198i
$220$	3.62991	+	15.9339i	0.244728	+	1.07426i
$221$	−0.124876	−	0.384327i	−0.00840004	−	0.0258527i
$222$	2.63572	+	2.14703i	0.176898	+	0.144099i
$223$	12.2020	−	1.93261i	0.817106	−	0.129417i	0.266129	−	0.963937i	$-0.414255\pi$
$223$	12.2020	−	1.93261i	0.817106	−	0.129417i	0.550977	+	0.834520i	$0.314255\pi$
$224$	25.0398	−	13.9772i	1.67304	−	0.933893i
$225$	2.77198	−	4.16127i	0.184798	−	0.277418i
$226$	−0.764793	+	3.54751i	−0.0508733	+	0.235977i
$227$	−1.66272	−	10.4980i	−0.110358	−	0.696776i	−0.979384	−	0.202008i	$-0.935253\pi$
$227$	−1.66272	−	10.4980i	−0.110358	−	0.696776i	0.869025	−	0.494768i	$-0.164747\pi$
$228$	−12.5442	+	10.0383i	−0.830758	+	0.664804i
$229$	−27.1390	+	8.81799i	−1.79339	+	0.582709i	−0.999673	−	0.0255728i	$-0.991859\pi$
$229$	−27.1390	+	8.81799i	−1.79339	+	0.582709i	−0.793721	+	0.608282i	$0.791859\pi$
$230$	9.41631	+	5.21965i	0.620893	+	0.344173i
$231$	−17.6179	−	5.72440i	−1.15917	−	0.376638i
$232$	−1.69381	−	11.3307i	−0.111204	−	0.743894i
$233$	−12.6044	+	6.42226i	−0.825741	+	0.420736i	−0.815180	−	0.579208i	$-0.803362\pi$
$233$	−12.6044	+	6.42226i	−0.825741	+	0.420736i	−0.0105616	+	0.999944i	$0.503362\pi$
$234$	−3.00600	+	1.32794i	−0.196509	+	0.0868102i
$235$	5.67986	+	10.6083i	0.370513	+	0.692006i
$236$	18.1586	−	10.3441i	1.18202	−	0.673342i
$237$	−0.796087	+	5.02630i	−0.0517114	+	0.326493i
$238$	1.16264	+	0.450163i	0.0753627	+	0.0291798i
$239$	11.1088	+	8.07104i	0.718571	+	0.522072i	0.885927	−	0.463824i	$-0.153523\pi$
$239$	11.1088	+	8.07104i	0.718571	+	0.522072i	−0.167356	+	0.985896i	$0.553523\pi$
$240$	−8.61890	+	2.39050i	−0.556348	+	0.154306i
$241$	−11.3875	+	8.27348i	−0.733531	+	0.532942i	−0.890679	−	0.454634i	$-0.849770\pi$
$241$	−11.3875	+	8.27348i	−0.733531	+	0.532942i	0.157147	+	0.987575i	$0.449770\pi$
$242$	−3.21705	+	0.852027i	−0.206800	+	0.0547704i
$243$	−0.707107	+	0.707107i	−0.0453609	+	0.0453609i
$244$	−5.96211	−	5.43117i	−0.381685	−	0.347695i
$245$	−34.3190	−	23.8830i	−2.19256	−	1.52583i
$246$	0.185632	+	1.81677i	0.0118355	+	0.115833i
$247$	−8.47457	+	16.6323i	−0.539224	+	1.05829i
$248$	−8.91052	+	17.1185i	−0.565819	+	1.08703i
$249$		−	10.3897i		−	0.658419i
$250$	4.79918	−	15.0655i	0.303527	−	0.952823i
$251$			23.3921i			1.47650i	0.674529	+	0.738248i	$0.264347\pi$
$251$			23.3921i			1.47650i	−0.674529	+	0.738248i	$0.735653\pi$
$252$	2.68079	−	9.77792i	0.168874	−	0.615951i
$253$	−5.64811	+	11.0850i	−0.355094	+	0.696911i
$254$	8.31961	−	0.850071i	0.522019	−	0.0533382i
$255$	−0.319178	−	0.222120i	−0.0199877	−	0.0139097i
$256$	14.4620	+	6.84469i	0.903877	+	0.427793i
$257$	1.62654	−	1.62654i	0.101461	−	0.101461i	−0.654554	−	0.756015i	$-0.727144\pi$
$257$	1.62654	−	1.62654i	0.101461	−	0.101461i	0.756015	+	0.654554i	$0.227144\pi$
$258$	−0.569095	−	2.14876i	−0.0354303	−	0.133776i
$259$	−9.85860	+	7.16270i	−0.612584	+	0.445068i
$260$	−7.98015	+	6.65673i	−0.494908	+	0.412833i
$261$	−3.27693	−	2.38083i	−0.202837	−	0.147369i
$262$	4.08127	−	10.5407i	0.252142	−	0.651209i
$263$	0.459613	−	2.90188i	0.0283409	−	0.178938i	−0.969457	−	0.245260i	$-0.921127\pi$
$263$	0.459613	−	2.90188i	0.0283409	−	0.178938i	0.997798	+	0.0663225i	$0.0211266\pi$
$264$	−3.10836	−	9.85717i	−0.191307	−	0.606667i
$265$	12.7310	+	23.7776i	0.782060	+	1.46065i
$266$	−23.2719	−	52.6795i	−1.42689	−	3.22999i
$267$	−0.411877	+	0.209862i	−0.0252064	+	0.0128433i
$268$	−13.5347	+	5.10575i	−0.826766	+	0.311883i
$269$	6.22594	+	2.02293i	0.379602	+	0.123340i	0.492602	−	0.870255i	$-0.336046\pi$
$269$	6.22594	+	2.02293i	0.379602	+	0.123340i	−0.113000	+	0.993595i	$0.536046\pi$
$270$	−1.53313	+	2.76578i	−0.0933031	+	0.168320i
$271$	8.56017	−	2.78137i	0.519993	−	0.168956i	−0.0372489	−	0.999306i	$-0.511859\pi$
$271$	8.56017	−	2.78137i	0.519993	−	0.168956i	0.557242	+	0.830350i	$0.311859\pi$
$272$	0.172242	+	0.673953i	0.0104437	+	0.0408644i
$273$	−1.84278	−	11.6349i	−0.111530	−	0.704174i
$274$	−11.8635	−	2.55761i	−0.716702	−	0.154511i
$275$	17.5920	+	4.93466i	1.06084	+	0.297571i
$276$	−6.20433	−	2.80552i	−0.373457	−	0.168872i
$277$	−23.4349	+	3.71172i	−1.40807	+	0.223016i	−0.813750	−	0.581215i	$-0.802577\pi$
$277$	−23.4349	+	3.71172i	−1.40807	+	0.223016i	−0.594317	+	0.804231i	$0.702577\pi$
$278$	6.63426	−	8.14428i	0.397896	−	0.488461i
$279$	2.10846	+	6.48919i	0.126230	+	0.388498i
$280$	−0.373579	−	32.0594i	−0.0223256	−	1.91591i
$281$	−3.61430	+	11.1237i	−0.215611	+	0.663582i	0.783499	+	0.621393i	$0.213433\pi$
$281$	−3.61430	+	11.1237i	−0.215611	+	0.663582i	−0.999110	+	0.0421887i	$0.986567\pi$
$282$	−4.12642	−	6.39461i	−0.245725	−	0.380793i
$283$	2.51629	+	4.93851i	0.149578	+	0.293564i	0.953622	−	0.301006i	$-0.0973224\pi$
$283$	2.51629	+	4.93851i	0.149578	+	0.293564i	−0.804044	+	0.594570i	$0.797322\pi$
$284$	−4.55385	+	0.940414i	−0.270221	+	0.0558033i
$285$	3.17024	+	17.6806i	0.187789	+	1.04731i
$286$	−8.00948	−	8.94741i	−0.473611	−	0.529071i
$287$	−6.46569	−	1.02406i	−0.381658	−	0.0604486i
$288$	5.30993	−	1.95055i	0.312891	−	0.114937i
$289$	9.97457	−	13.7288i	0.586740	−	0.807578i
$290$	−12.0363	−	4.38098i	−0.706797	−	0.257260i
$291$	−5.26719	−	7.24966i	−0.308768	−	0.424983i
$292$	0.291469	+	6.25458i	0.0170569	+	0.366022i
$293$	12.6498	+	12.6498i	0.739007	+	0.739007i	0.972386	−	0.233379i	$-0.0749783\pi$
$293$	12.6498	+	12.6498i	0.739007	+	0.739007i	−0.233379	+	0.972386i	$0.574978\pi$
$294$	22.8626	+	13.2882i	1.33338	+	0.774982i
$295$	−0.475236	−	23.3601i	−0.0276693	−	1.36007i
$296$	−6.44778	−	2.15713i	−0.374770	−	0.125380i
$297$	−3.25592	−	1.65898i	−0.188928	−	0.0962635i
$298$	−3.28488	−	0.181695i	−0.190288	−	0.0105253i
$299$	−7.91134			−0.457524
$300$	−2.24968	+	9.74366i	−0.129885	+	0.562551i
$301$	7.96801			0.459268
$302$	−0.684396	−	0.0378556i	−0.0393826	−	0.00217835i
$303$	12.4368	+	6.33686i	0.714475	+	0.364043i
$304$	16.3875	−	27.6395i	0.939890	−	1.58524i
$305$	−8.51718	+	2.96024i	−0.487693	+	0.169503i
$306$	0.212631	+	0.123585i	0.0121553	+	0.00706487i
$307$	−19.3582	−	19.3582i	−1.10483	−	1.10483i	−0.993819	−	0.111010i	$-0.964591\pi$
$307$	−19.3582	−	19.3582i	−1.10483	−	1.10483i	−0.111010	−	0.993819i	$-0.535409\pi$
$308$	37.0090	−	1.72465i	2.10878	−	0.0982712i
$309$	−1.15351	−	1.58767i	−0.0656209	−	0.0903195i
$310$	12.0654	+	17.8880i	0.685266	+	1.01597i
$311$	19.4921	−	26.8285i	1.10529	−	1.52131i	0.277118	−	0.960836i	$-0.410621\pi$
$311$	19.4921	−	26.8285i	1.10529	−	1.52131i	0.828175	−	0.560470i	$-0.189379\pi$
$312$	4.68767	−	4.60691i	0.265387	−	0.260815i
$313$	16.1010	+	2.55014i	0.910080	+	0.144143i	0.593883	−	0.804551i	$-0.297594\pi$
$313$	16.1010	+	2.55014i	0.910080	+	0.144143i	0.316197	+	0.948694i	$0.397594\pi$
$314$	1.10738	+	1.23706i	0.0624933	+	0.0698114i
$315$	−8.17676	−	7.85070i	−0.460708	−	0.442337i
$316$	−2.05840	−	9.96758i	−0.115794	−	0.560720i
$317$	0.737751	+	1.44792i	0.0414362	+	0.0813232i	0.910796	−	0.412856i	$-0.135469\pi$
$317$	0.737751	+	1.44792i	0.0414362	+	0.0813232i	−0.869360	+	0.494179i	$0.835469\pi$
$318$	−9.24908	−	14.3330i	−0.518663	−	0.803758i
$319$	4.57388	−	14.0769i	0.256088	−	0.788158i
$320$	14.4409	−	10.5575i	0.807272	−	0.590180i
$321$	0.742449	+	2.28502i	0.0414394	+	0.127538i
$322$	15.4154	−	18.9241i	0.859064	−	1.05460i
$323$	1.37979	−	0.218537i	0.0767735	−	0.0121597i
$324$	0.824043	−	1.82235i	0.0457802	−	0.101242i
$325$	2.28278	+	11.3922i	0.126626	+	0.631926i
$326$	−7.22766	−	1.55818i	−0.400303	−	0.0862996i
$327$	−1.93962	−	12.2463i	−0.107261	−	0.677220i
$328$	−1.62984	−	3.26865i	−0.0899930	−	0.180481i
$329$	25.9450	−	8.43005i	1.43040	−	0.464764i
$330$	−11.3433	−	2.20501i	−0.624427	−	0.121382i
$331$	−28.9649	−	9.41126i	−1.59205	−	0.517290i	−0.626928	−	0.779077i	$-0.715688\pi$
$331$	−28.9649	−	9.41126i	−1.59205	−	0.517290i	−0.965126	+	0.261787i	$0.915688\pi$
$332$	7.33416	+	19.4420i	0.402514	+	1.06702i
$333$	−2.14182	+	1.09131i	−0.117371	+	0.0598037i
$334$	−3.19929	−	7.24210i	−0.175057	−	0.396270i
$335$	−2.20461	+	16.0222i	−0.120451	+	0.875389i
$336$	1.88581	+	20.1896i	0.102879	+	1.10143i
$337$	0.338783	−	2.13899i	0.0184547	−	0.116518i	−0.976741	−	0.214421i	$-0.931213\pi$
$337$	0.338783	−	2.13899i	0.0184547	−	0.116518i	0.995196	+	0.0979030i	$0.0312135\pi$
$338$	−3.88093	+	10.0233i	−0.211094	+	0.545195i
$339$	−2.07602	−	1.50832i	−0.112754	−	0.0819205i
$340$	0.754069	+	0.190339i	0.0408951	+	0.0103226i
$341$	−20.1713	+	14.6553i	−1.09234	+	0.793631i
$342$	−2.90853	−	10.9819i	−0.157275	−	0.593834i
$343$	−41.9347	+	41.9347i	−2.26426	+	2.26426i
$344$	2.58177	+	3.61921i	0.139200	+	0.195135i
$345$	−6.06665	+	4.59908i	−0.326618	+	0.247606i
$346$	15.7181	−	1.60602i	0.845009	−	0.0863403i
$347$	9.21046	−	18.0766i	0.494444	−	0.970400i	−0.500089	−	0.865974i	$-0.666699\pi$
$347$	9.21046	−	18.0766i	0.494444	−	0.970400i	0.994533	−	0.104426i	$-0.0333006\pi$
$348$	7.81270	+	2.14199i	0.418804	+	0.114823i
$349$			14.1136i			0.755485i	0.925911	+	0.377742i	$0.123299\pi$
$349$			14.1136i			0.755485i	−0.925911	+	0.377742i	$0.876701\pi$
$350$	−31.6984	−	16.7374i	−1.69435	−	0.894654i
$351$		−	2.32373i		−	0.124032i
$352$	12.7749	+	16.2513i	0.680904	+	0.866199i
$353$	2.65081	−	5.20251i	0.141088	−	0.276901i	−0.809640	−	0.586927i	$-0.800338\pi$
$353$	2.65081	−	5.20251i	0.141088	−	0.276901i	0.950728	+	0.310025i	$0.100338\pi$
$354$	1.50207	+	14.7007i	0.0798342	+	0.781334i
$355$	−1.50562	+	4.97600i	−0.0799098	+	0.264099i
$356$	0.622594	−	0.683457i	0.0329974	−	0.0362232i
$357$	−0.623373	+	0.623373i	−0.0329924	+	0.0329924i
$358$	−21.1108	+	5.59115i	−1.11574	+	0.295501i
$359$	−11.6169	+	8.44018i	−0.613117	+	0.445456i	−0.850511	−	0.525958i	$-0.823707\pi$
$359$	−11.6169	+	8.44018i	−0.613117	+	0.445456i	0.237393	+	0.971414i	$0.423707\pi$
$360$	0.916525	−	6.25779i	0.0483051	−	0.329815i
$361$	−36.8354	−	26.7624i	−1.93870	−	1.40855i
$362$	−17.2014	−	6.66024i	−0.904087	−	0.350054i
$363$	0.368126	−	2.32425i	0.0193216	−	0.121992i
$364$	11.6615	+	20.4713i	0.611229	+	1.07299i
$365$	6.30077	+	3.05060i	0.329797	+	0.159676i
$366$	5.21648	−	2.30445i	0.272670	−	0.120455i
$367$	−11.4013	+	5.80923i	−0.595141	+	0.303239i	−0.725494	−	0.688228i	$-0.758389\pi$
$367$	−11.4013	+	5.80923i	−0.595141	+	0.303239i	0.130354	+	0.991468i	$0.458389\pi$
$368$	13.5905	+	0.870232i	0.708453	+	0.0453640i
$369$	−1.22814	−	0.399046i	−0.0639342	−	0.0207735i
$370$	−5.55948	+	5.18421i	−0.289023	+	0.269514i
$371$	58.1539	−	18.8954i	3.01920	−	0.980998i
$372$	−8.52630	−	10.6547i	−0.442068	−	0.552421i
$373$	1.82551	+	11.5258i	0.0945215	+	0.596785i	0.988797	+	0.149268i	$0.0476917\pi$
$373$	1.82551	+	11.5258i	0.0945215	+	0.596785i	−0.894275	+	0.447517i	$0.852308\pi$
$374$	−0.189396	+	0.878520i	−0.00979345	+	0.0454272i
$375$	8.37311	+	7.40885i	0.432386	+	0.382591i
$376$	12.2357	+	9.05323i	0.631008	+	0.466885i
$377$	9.29641	−	1.47241i	0.478790	−	0.0758328i
$378$	5.55841	+	4.52783i	0.285894	+	0.232887i
$379$	6.06211	+	18.6573i	0.311390	+	0.958359i	0.977215	+	0.212251i	$0.0680796\pi$
$379$	6.06211	+	18.6573i	0.311390	+	0.958359i	−0.665825	+	0.746108i	$0.731920\pi$
$380$	−18.4133	−	30.8475i	−0.944583	−	1.58244i
$381$	−1.82737	+	5.62406i	−0.0936188	+	0.288129i
$382$	−7.20638	+	4.65026i	−0.368710	+	0.237928i
$383$	6.04626	+	11.8664i	0.308949	+	0.606347i	0.992316	−	0.123728i	$-0.0394851\pi$
$383$	6.04626	+	11.8664i	0.308949	+	0.606347i	−0.683367	+	0.730075i	$0.739485\pi$
$384$	−8.55947	+	7.39834i	−0.436799	+	0.377545i
$385$	18.0507	−	37.2823i	0.919949	−	1.90008i
$386$	−23.1224	+	20.6985i	−1.17690	+	1.05353i
$387$	1.55244	+	0.245882i	0.0789150	+	0.0124989i
$388$	14.9740	+	9.84801i	0.760189	+	0.499957i
$389$	−14.6739	+	20.1969i	−0.743995	+	1.02402i	0.254384	+	0.967103i	$0.418127\pi$
$389$	−14.6739	+	20.1969i	−0.743995	+	1.02402i	−0.998379	+	0.0569179i	$0.981873\pi$
$390$	−2.02540	−	7.06365i	−0.102560	−	0.357682i
$391$	0.348009	+	0.478994i	0.0175996	+	0.0242237i
$392$	−52.1626	−	8.72701i	−2.63461	−	0.440780i
$393$	5.65163	+	5.65163i	0.285087	+	0.285087i
$394$	−4.30624	+	7.40898i	−0.216945	+	0.373259i
$395$	−10.8916	−	3.29553i	−0.548015	−	0.165816i
$396$	7.26383	+	0.806027i	0.365021	+	0.0405044i
$397$	9.79542	+	4.99102i	0.491618	+	0.250492i	0.682181	−	0.731183i	$-0.261031\pi$
$397$	9.79542	+	4.99102i	0.491618	+	0.250492i	−0.190563	+	0.981675i	$0.561031\pi$
$398$	0.664366	−	12.0111i	0.0333016	−	0.602064i
$399$	40.7229			2.03870
$400$	−2.66836	−	19.8212i	−0.133418	−	0.991060i
$401$	17.4413			0.870979			0.435490	−	0.900194i	$-0.356575\pi$
$401$	17.4413			0.870979			0.435490	+	0.900194i	$0.356575\pi$
$402$	0.564919	−	10.2132i	0.0281756	−	0.509389i
$403$	−14.1270	−	7.19809i	−0.703718	−	0.358562i
$404$	−27.7460	−	3.07882i	−1.38041	−	0.153177i
$405$	−1.35085	−	1.78191i	−0.0671243	−	0.0885438i
$406$	−14.5922	+	25.1062i	−0.724198	+	1.24600i
$407$	−6.21128	−	6.21128i	−0.307882	−	0.307882i
$408$	−0.485131	−	0.0811643i	−0.0240176	−	0.00401823i
$409$	0.170633	+	0.234856i	0.00843724	+	0.0116129i	0.813215	−	0.581964i	$-0.197715\pi$
$409$	0.170633	+	0.234856i	0.00843724	+	0.0116129i	−0.804778	+	0.593577i	$0.797715\pi$
$410$	−4.08108	−	0.142549i	−0.201550	−	0.00704000i
$411$	5.04409	−	6.94259i	0.248806	−	0.342453i
$412$	3.27929	+	2.15671i	0.161559	+	0.106253i
$413$	−52.3183	−	8.28640i	−2.57441	−	0.407747i
$414$	3.58741	−	3.21135i	0.176312	−	0.157829i
$415$	23.0152	+	3.16682i	1.12977	+	0.155453i
$416$	−5.51990	+	11.9299i	−0.270635	+	0.584911i
$417$	3.37212	+	6.61816i	0.165134	+	0.324093i
$418$	34.8817	−	22.5091i	1.70612	−	1.10096i
$419$	−7.74771	+	23.8450i	−0.378500	+	1.16490i	0.562586	+	0.826739i	$0.309806\pi$
$419$	−7.74771	+	23.8450i	−0.378500	+	1.16490i	−0.941087	+	0.338166i	$0.890194\pi$
$420$	20.8429	+	8.91883i	1.01703	+	0.435194i
$421$	8.37229	+	25.7672i	0.408040	+	1.25582i	0.918330	+	0.395816i	$0.129538\pi$
$421$	8.37229	+	25.7672i	0.408040	+	1.25582i	−0.510289	+	0.860003i	$0.670462\pi$
$422$	26.2356	+	21.3713i	1.27713	+	1.04034i
$423$	5.31512	−	0.841832i	0.258430	−	0.0409313i
$424$	27.4255	+	20.2922i	1.33190	+	0.985475i
$425$	0.589327	−	0.639340i	0.0285866	−	0.0310125i
$426$	0.692927	−	3.21416i	0.0335724	−	0.155727i
$427$	3.19788	+	20.1906i	0.154756	+	0.977092i
$428$	−3.00235	−	3.75182i	−0.145124	−	0.181351i
$429$	8.07581	−	2.62399i	0.389904	−	0.126687i
$430$	4.93340	−	0.605703i	0.237910	−	0.0292096i
$431$	−16.1967	−	5.26263i	−0.780168	−	0.253492i	−0.108256	−	0.994123i	$-0.534527\pi$
$431$	−16.1967	−	5.26263i	−0.780168	−	0.253492i	−0.671912	+	0.740631i	$0.734527\pi$
$432$	−0.255606	+	3.99182i	−0.0122979	+	0.192057i
$433$	−3.15400	+	1.60704i	−0.151571	+	0.0772295i	−0.528131	−	0.849163i	$-0.677107\pi$
$433$	−3.15400	+	1.60704i	−0.151571	+	0.0772295i	0.376560	+	0.926392i	$0.377107\pi$
$434$	44.7447	−	19.7665i	2.14782	−	0.948825i
$435$	6.27282	−	6.53335i	0.300759	−	0.313250i
$436$	12.2743	+	21.5470i	0.587833	+	1.03192i
$437$	4.27839	−	27.0127i	0.204663	−	1.29219i
$438$	−4.12877	−	1.59862i	−0.197280	−	0.0763851i
$439$	22.6963	+	16.4898i	1.08324	+	0.787016i	0.978244	−	0.207457i	$-0.0665186\pi$
$439$	22.6963	+	16.4898i	1.08324	+	0.787016i	0.104991	+	0.994473i	$0.466519\pi$
$440$	22.7830	−	3.88112i	1.08614	−	0.185025i
$441$	−15.1275	+	10.9908i	−0.720356	+	0.523370i
$442$	−0.552445	+	0.146314i	−0.0262771	+	0.00695943i
$443$	−14.4728	+	14.4728i	−0.687624	+	0.687624i	−0.961706	−	0.274082i	$-0.911626\pi$
$443$	−14.4728	+	14.4728i	−0.687624	+	0.687624i	0.274082	+	0.961706i	$0.411626\pi$
$444$	3.23759	−	3.55409i	0.153649	−	0.168670i
$445$	−0.339343	−	0.976355i	−0.0160864	−	0.0462836i
$446$	−1.77592	−	17.3808i	−0.0840922	−	0.823006i
$447$	1.05612	−	2.07276i	0.0499530	−	0.0980382i
$448$	−17.7809	−	36.4493i	−0.840069	−	1.72207i
$449$		−	31.4725i		−	1.48528i	−0.669692	−	0.742639i	$-0.733574\pi$
$449$		−	31.4725i		−	1.48528i	0.669692	−	0.742639i	$-0.266426\pi$
$450$	−5.65944	−	4.23920i	−0.266788	−	0.199838i
$451$		−	4.71882i		−	0.222201i
$452$	4.94955	+	1.35701i	0.232807	+	0.0638282i
$453$	0.220040	−	0.431854i	0.0103384	−	0.0202903i
$454$	−14.9536	+	1.52791i	−0.701807	+	0.0717084i
$455$	26.3352	−	0.535761i	1.23461	−	0.0251169i
$456$	13.1949	+	18.4971i	0.617908	+	0.866206i
$457$	11.4538	−	11.4538i	0.535787	−	0.535787i	−0.386502	−	0.922289i	$-0.626317\pi$
$457$	11.4538	−	11.4538i	0.535787	−	0.535787i	0.922289	+	0.386502i	$0.126317\pi$
$458$	10.3318	+	39.0105i	0.482774	+	1.82284i
$459$	−0.140691	+	0.102218i	−0.00656689	+	0.00477113i
$460$	8.10589	−	12.8887i	0.377939	−	0.600937i
$461$	−27.0478	−	19.6514i	−1.25974	−	0.915257i	−0.260998	−	0.965339i	$-0.584051\pi$
$461$	−27.0478	−	19.6514i	−1.25974	−	0.915257i	−0.998745	+	0.0500827i	$0.984051\pi$
$462$	−9.45921	+	24.4303i	−0.440082	+	1.13660i
$463$	0.528273	−	3.33538i	0.0245509	−	0.155008i	−0.972367	−	0.233456i	$-0.924996\pi$
$463$	0.528273	−	3.33538i	0.0245509	−	0.155008i	0.996918	+	0.0784479i	$0.0249964\pi$
$464$	−16.1318	+	1.50679i	−0.748900	+	0.0699508i
$465$	−15.0175	+	2.69273i	−0.696420	+	0.124872i
$466$	8.08413	+	18.2997i	0.374490	+	0.847718i
$467$	21.4459	−	10.9272i	0.992398	−	0.505652i	0.119123	−	0.992880i	$-0.461992\pi$
$467$	21.4459	−	10.9272i	0.992398	−	0.505652i	0.873275	+	0.487228i	$0.161992\pi$
$468$	1.64034	+	4.34836i	0.0758249	+	0.201003i
$469$	34.8716	+	11.3305i	1.61022	+	0.523193i
$470$	15.4231	−	7.19173i	0.711413	−	0.331730i
$471$	−1.11655	+	0.362791i	−0.0514481	+	0.0167165i
$472$	−13.1882	−	26.4488i	−0.607034	−	1.21741i
$473$	0.898505	+	5.67294i	0.0413133	+	0.260842i
$474$	7.03523	+	1.51669i	0.323139	+	0.0696641i
$475$	−40.1324	+	1.63358i	−1.84140	+	0.0749537i
$476$	0.726463	−	1.60655i	0.0332974	−	0.0736362i
$477$	11.9135	−	1.88691i	0.545480	−	0.0863955i
$478$	12.2644	−	15.0559i	0.560961	−	0.688641i
$479$	0.487335	+	1.49986i	0.0222669	+	0.0685305i	0.961572	−	0.274551i	$-0.0885293\pi$
$479$	0.487335	+	1.49986i	0.0222669	+	0.0685305i	−0.939306	+	0.343082i	$0.888529\pi$
$480$	2.70235	+	12.3571i	0.123345	+	0.564021i
$481$	1.72612	−	5.31246i	0.0787045	−	0.242227i
$482$	10.7932	+	16.7259i	0.491617	+	0.761845i
$483$	7.83547	+	15.3780i	0.356526	+	0.699722i
$484$	0.951844	+	4.60920i	0.0432656	+	0.209509i
$485$	17.6649	−	9.45812i	0.802121	−	0.429471i
$486$	0.943246	+	1.05370i	0.0427865	+	0.0477969i
$487$	−10.1551	−	1.60842i	−0.460173	−	0.0728843i	−0.0779561	−	0.996957i	$-0.524839\pi$
$487$	−10.1551	−	1.60842i	−0.460173	−	0.0728843i	−0.382217	+	0.924073i	$0.624839\pi$
$488$	−8.13478	+	7.99463i	−0.368244	+	0.361900i
$489$	3.07303	−	4.22966i	0.138967	−	0.191272i
$490$	−36.4046	+	46.5949i	−1.64459	+	2.10494i
$491$	17.6012	+	24.2260i	0.794333	+	1.09331i	0.993555	+	0.113351i	$0.0361585\pi$
$491$	17.6012	+	24.2260i	0.794333	+	1.09331i	−0.199222	+	0.979954i	$0.563842\pi$
$492$	2.57988	−	0.120225i	0.116310	−	0.00542015i
$493$	−0.498084	−	0.498084i	−0.0224326	−	0.0224326i
$494$	22.8238	+	13.2656i	1.02689	+	0.596848i
$495$	4.66738	−	6.70684i	0.209783	−	0.301450i
$496$	23.4764	+	13.9192i	1.05412	+	0.624990i
$497$	10.5015	+	5.35080i	0.471059	+	0.240016i
$498$	−14.6708	−	0.811478i	−0.657414	−	0.0363632i
$499$	−11.8477			−0.530374			−0.265187	−	0.964197i	$-0.585434\pi$
$499$	−11.8477			−0.530374			−0.265187	+	0.964197i	$0.585434\pi$
$500$	−20.8984	−	7.95339i	−0.934605	−	0.355686i
$501$	5.59837			0.250117
$502$	33.0309	+	1.82702i	1.47424	+	0.0815440i
$503$	−30.3925	−	15.4858i	−1.35514	−	0.690477i	−0.382750	−	0.923852i	$-0.625023\pi$
$503$	−30.3925	−	15.4858i	−1.35514	−	0.690477i	−0.972387	+	0.233375i	$0.925023\pi$
$504$	−13.5976	−	4.54912i	−0.605685	−	0.202634i
$505$	−17.8282	+	25.6184i	−0.793343	+	1.14000i
$506$	15.2116	+	8.84123i	0.676236	+	0.393041i
$507$	−5.37419	−	5.37419i	−0.238676	−	0.238676i
$508$	−0.550550	−	11.8141i	−0.0244267	−	0.524168i
$509$	−15.7134	−	21.6276i	−0.696482	−	0.958626i	−0.999983	−	0.00579453i	$-0.998156\pi$
$509$	−15.7134	−	21.6276i	−0.696482	−	0.958626i	0.303501	−	0.952831i	$-0.401844\pi$
$510$	−0.338575	+	0.433349i	−0.0149924	+	0.0191890i
$511$	9.32851	−	12.8396i	0.412669	−	0.567990i
$512$	10.7946	−	19.8866i	0.477059	−	0.878871i
$513$	7.93422	+	1.25666i	0.350304	+	0.0554827i
$514$	−2.16972	−	2.42380i	−0.0957023	−	0.106909i
$515$	3.86860	−	2.07132i	0.170471	−	0.0912734i
$516$	−3.07862	+	0.635765i	−0.135529	+	0.0279880i
$517$	8.92756	+	17.5213i	0.392634	+	0.770587i
$518$	9.34412	+	14.4803i	0.410557	+	0.636229i
$519$	−3.45241	+	10.6254i	−0.151544	+	0.466404i
$520$	8.77639	+	11.7883i	0.384870	+	0.516952i
$521$	−8.01289	−	24.6611i	−0.351051	−	1.08042i	−0.958264	−	0.285885i	$-0.907712\pi$
$521$	−8.01289	−	24.6611i	−0.351051	−	1.08042i	0.607213	−	0.794539i	$-0.292288\pi$
$522$	−3.61780	+	4.44125i	−0.158347	+	0.194388i
$523$	39.6455	−	6.27924i	1.73358	−	0.274572i	0.791793	−	0.610789i	$-0.209148\pi$
$523$	39.6455	−	6.27924i	1.73358	−	0.274572i	0.941785	+	0.336217i	$0.109148\pi$
$524$	−14.5653	−	6.58626i	−0.636289	−	0.287722i
$525$	19.8832	−	15.7202i	0.867772	−	0.686086i
$526$	−4.06172	−	0.875648i	−0.177099	−	0.0381801i
$527$	0.185620	+	1.17196i	0.00808574	+	0.0510514i
$528$	−14.1617	+	3.61929i	−0.616307	+	0.157510i
$529$	−10.8505	+	3.52553i	−0.471759	+	0.153284i
$530$	34.5697	−	16.1198i	1.50161	−	0.700197i
$531$	−9.93768	−	3.22895i	−0.431259	−	0.140124i
$532$	−76.2040	+	28.7466i	−3.30386	+	1.24632i
$533$	2.67367	−	1.36230i	0.115809	−	0.0590079i
$534$	0.264167	+	0.597984i	0.0114316	+	0.0258773i
$535$	−5.28807	+	0.948184i	−0.228623	+	0.0409936i
$536$	6.15247	+	19.5106i	0.265746	+	0.842729i
$537$	2.41570	−	15.2522i	0.104245	−	0.658179i
$538$	3.34276	−	8.63337i	0.144117	−	0.372211i
$539$	−55.2790	−	40.1625i	−2.38103	−	1.72992i
$540$	3.78569	+	2.38088i	0.162910	+	0.102457i
$541$	−13.8700	+	10.0772i	−0.596319	+	0.433251i	−0.844570	−	0.535445i	$-0.820144\pi$
$541$	−13.8700	+	10.0772i	−0.596319	+	0.433251i	0.248252	+	0.968696i	$0.420144\pi$
$542$	−3.25886	−	12.3047i	−0.139980	−	0.528531i
$543$	9.22291	−	9.22291i	0.395793	−	0.395793i
$544$	0.965111	−	0.190577i	0.0413788	−	0.00817091i
$545$	27.7191	−	0.563916i	1.18736	−	0.0241555i
$546$	−16.5730	+	1.69338i	−0.709259	+	0.0724698i
$547$	12.6963	−	24.9180i	0.542857	−	1.06542i	−0.442795	−	0.896623i	$-0.646013\pi$
$547$	12.6963	−	24.9180i	0.542857	−	1.06542i	0.985652	−	0.168793i	$-0.0539870\pi$
$548$	−4.53807	+	16.5522i	−0.193857	+	0.707075i
$549$			4.03250i			0.172103i
$550$	8.34202	−	24.4555i	0.355705	−	1.04279i
$551$			32.5382i			1.38617i
$552$	−4.44613	+	8.54173i	−0.189240	+	0.363560i
$553$	−11.7120	+	22.9860i	−0.498043	+	0.977465i
$554$	3.41079	+	33.3813i	0.144911	+	1.41823i
$555$	−1.76464	−	5.07720i	−0.0749047	−	0.215515i
$556$	−10.9820	−	10.0040i	−0.465741	−	0.424266i
$557$	21.2811	−	21.2811i	0.901710	−	0.901710i	−0.0938737	−	0.995584i	$-0.529925\pi$
$557$	21.2811	−	21.2811i	0.901710	−	0.901710i	0.995584	+	0.0938737i	$0.0299250\pi$
$558$	9.32777	−	2.47044i	0.394876	−	0.104582i
$559$	−2.95487	+	2.14684i	−0.124978	+	0.0908018i
$560$	−45.2988	−	1.97646i	−1.91422	−	0.0835207i
$561$	−0.514114	−	0.373526i	−0.0217059	−	0.0157703i
$562$	15.4249	+	5.97239i	0.650661	+	0.251930i
$563$	3.04270	−	19.2108i	0.128234	−	0.809640i	−0.836798	−	0.547511i	$-0.815575\pi$
$563$	3.04270	−	19.2108i	0.128234	−	0.809640i	0.965033	−	0.262129i	$-0.0844247\pi$
$564$	−9.35183	+	5.32729i	−0.393783	+	0.224319i
$565$	3.97400	−	4.13905i	0.167187	−	0.174131i
$566$	7.16998	−	3.16743i	0.301377	−	0.133137i
$567$	−4.51685	+	2.30145i	−0.189690	+	0.0966518i
$568$	0.972241	+	6.50374i	0.0407943	+	0.272891i
$569$	−30.0678	−	9.76960i	−1.26051	−	0.409563i	−0.398831	−	0.917024i	$-0.630584\pi$
$569$	−30.0678	−	9.76960i	−1.26051	−	0.409563i	−0.861675	+	0.507461i	$0.830584\pi$
$570$	25.2136	−	3.09563i	1.05608	−	0.129662i
$571$	−24.6115	+	7.99676i	−1.02996	+	0.334654i	−0.774774	−	0.632238i	$-0.782136\pi$
$571$	−24.6115	+	7.99676i	−1.02996	+	0.334654i	−0.255185	+	0.966892i	$0.582136\pi$
$572$	−13.2598	+	10.6110i	−0.554421	+	0.443668i
$573$	−0.948700	−	5.98986i	−0.0396325	−	0.250230i
$574$	−1.95103	+	9.04993i	−0.0814346	+	0.377737i
$575$	−8.33872	−	14.8406i	−0.347749	−	0.618898i
$576$	−2.33955	−	7.65026i	−0.0974813	−	0.318761i
$577$	−3.74572	+	0.593263i	−0.155936	+	0.0246979i	−0.233914	−	0.972257i	$-0.575154\pi$
$577$	−3.74572	+	0.593263i	−0.155936	+	0.0246979i	0.0779781	+	0.996955i	$0.475154\pi$
$578$	−18.6068	−	15.1569i	−0.773941	−	0.630445i
$579$	−6.78105	−	20.8699i	−0.281811	−	0.867325i
$580$	−7.12627	+	16.6538i	−0.295902	+	0.691510i
$581$	16.2757	−	50.0914i	0.675229	−	2.07814i
$582$	−10.6483	+	6.87133i	−0.441387	+	0.284826i
$583$	20.0105	+	39.2728i	0.828750	+	1.62651i
$584$	8.85457	+	0.0769388i	0.366405	+	0.00318375i
$585$	5.14753	+	0.708285i	0.212824	+	0.0292840i
$586$	18.8502	−	16.8742i	0.778693	−	0.697065i
$587$	8.90911	+	1.41106i	0.367718	+	0.0582409i	0.337559	−	0.941304i	$-0.390399\pi$
$587$	8.90911	+	1.41106i	0.367718	+	0.0582409i	0.0301590	+	0.999545i	$0.490399\pi$
$588$	20.5493	−	31.2454i	0.847439	−	1.28854i
$589$	32.2171	−	44.3431i	1.32748	−	1.82712i
$590$	−33.0228	−	1.15346i	−1.35953	−	0.0474873i
$591$	−3.56172	−	4.90229i	−0.146510	−	0.201653i
$592$	−3.54958	+	8.93614i	−0.145887	+	0.367273i
$593$	32.7211	+	32.7211i	1.34370	+	1.34370i	0.892348	+	0.451349i	$0.149057\pi$
$593$	32.7211	+	32.7211i	1.34370	+	1.34370i	0.451349	+	0.892348i	$0.350943\pi$
$594$	−2.59687	+	4.46797i	−0.106551	+	0.183323i
$595$	−1.19089	−	1.57090i	−0.0488216	−	0.0644007i
$596$	−0.513127	+	4.62424i	−0.0210185	+	0.189416i
$597$	7.57902	+	3.86170i	0.310189	+	0.158049i
$598$	−0.617909	+	11.1712i	−0.0252682	+	0.456826i
$599$	−29.9007			−1.22171			−0.610854	−	0.791743i	$-0.709174\pi$
$599$	−29.9007			−1.22171			−0.610854	+	0.791743i	$0.709174\pi$
$600$	13.5829	+	3.93769i	0.554519	+	0.160755i
$601$	21.0255			0.857649			0.428825	−	0.903388i	$-0.358928\pi$
$601$	21.0255			0.857649			0.428825	+	0.903388i	$0.358928\pi$
$602$	0.622336	−	11.2513i	0.0253645	−	0.458567i
$603$	6.44454	+	3.28366i	0.262442	+	0.133721i
$604$	−0.106909	+	0.963448i	−0.00435005	+	0.0392021i
$605$	5.03647	+	1.52391i	0.204762	+	0.0619559i
$606$	9.91936	−	17.0665i	0.402946	−	0.693279i
$607$	8.79927	+	8.79927i	0.357151	+	0.357151i	0.862762	−	0.505611i	$-0.168733\pi$
$607$	8.79927	+	8.79927i	0.357151	+	0.357151i	−0.505611	+	0.862762i	$0.668733\pi$
$608$	−37.7486	−	25.2989i	−1.53091	−	1.02601i
$609$	−12.0693	−	16.6120i	−0.489073	−	0.673151i
$610$	3.51480	+	12.2579i	0.142310	+	0.496310i
$611$	−7.35018	+	10.1167i	−0.297357	+	0.409276i
$612$	0.191116	−	0.290593i	0.00772540	−	0.0117465i
$613$	−17.2679	−	2.73497i	−0.697445	−	0.110464i	−0.202363	−	0.979311i	$-0.564862\pi$
$613$	−17.2679	−	2.73497i	−0.697445	−	0.110464i	−0.495082	+	0.868846i	$0.664862\pi$
$614$	−28.8468	+	25.8229i	−1.16416	+	1.04213i
$615$	1.25831	−	2.59893i	0.0507398	−	0.104799i
$616$	0.455254	−	52.3934i	0.0183427	−	2.11099i
$617$	14.0284	+	27.5323i	0.564763	+	1.10841i	0.980056	+	0.198722i	$0.0636792\pi$
$617$	14.0284	+	27.5323i	0.564763	+	1.10841i	−0.415293	+	0.909688i	$0.636321\pi$
$618$	−2.33197	+	1.50482i	−0.0938057	+	0.0605326i
$619$	4.97483	−	15.3110i	0.199955	−	0.615399i	−0.799928	−	0.600097i	$-0.795129\pi$
$619$	4.97483	−	15.3110i	0.199955	−	0.615399i	0.999883	−	0.0153026i	$-0.00487117\pi$
$620$	26.2011	−	15.6398i	1.05226	−	0.628110i
$621$	1.05207	+	3.23795i	0.0422182	+	0.129934i
$622$	−36.3609	−	29.6193i	−1.45794	−	1.18762i
$623$	−2.31452	+	0.366584i	−0.0927293	+	0.0146869i
$624$	−6.13909	−	6.97907i	−0.245760	−	0.279387i
$625$	−18.9642	+	16.2898i	−0.758568	+	0.651593i
$626$	4.85849	−	22.5363i	0.194185	−	0.900730i
$627$	4.59208	+	28.9933i	0.183390	+	1.15788i
$628$	1.83329	−	1.46707i	0.0731563	−	0.0585424i
$629$	−0.397574	+	0.129180i	−0.0158523	+	0.00515073i
$630$	−11.7243	+	10.9329i	−0.467106	+	0.435576i
$631$	−19.9039	−	6.46717i	−0.792362	−	0.257454i	−0.115253	−	0.993336i	$-0.536768\pi$
$631$	−19.9039	−	6.46717i	−0.792362	−	0.257454i	−0.677110	+	0.735882i	$0.736768\pi$
$632$	−14.2355	+	2.12806i	−0.566259	+	0.0846499i
$633$	−21.3194	+	10.8628i	−0.847371	+	0.431757i
$634$	2.10216	−	0.928657i	0.0834875	−	0.0368817i
$635$	−11.9014	−	5.76221i	−0.472293	−	0.228666i
$636$	−20.9614	+	11.9407i	−0.831176	+	0.473481i
$637$	6.79717	−	42.9156i	0.269314	−	1.70038i
$638$	−19.5202	−	7.55804i	−0.772812	−	0.299226i
$639$	1.88094	+	1.36658i	0.0744089	+	0.0540612i
$640$	−13.7798	−	21.2160i	−0.544695	−	0.838634i
$641$	20.7955	−	15.1088i	0.821375	−	0.596764i	−0.0957313	−	0.995407i	$-0.530519\pi$
$641$	20.7955	−	15.1088i	0.821375	−	0.596764i	0.917106	+	0.398644i	$0.130519\pi$
$642$	3.28457	−	0.869909i	0.129631	−	0.0343326i
$643$	21.3854	−	21.3854i	0.843357	−	0.843357i	−0.145937	−	0.989294i	$-0.546620\pi$
$643$	21.3854	−	21.3854i	0.843357	−	0.843357i	0.989294	+	0.145937i	$0.0466197\pi$
$644$	−25.5178	−	23.2454i	−1.00554	−	0.915997i
$645$	−1.01787	+	3.36401i	−0.0400785	+	0.132458i
$646$	−0.200819	−	1.96541i	−0.00790112	−	0.0773279i
$647$	−3.69522	+	7.25227i	−0.145274	+	0.285116i	−0.952165	−	0.305584i	$-0.901148\pi$
$647$	−3.69522	+	7.25227i	−0.145274	+	0.285116i	0.806891	+	0.590700i	$0.201148\pi$
$648$	−2.50889	−	1.30593i	−0.0985587	−	0.0513017i
$649$		−	38.1832i		−	1.49882i
$650$	16.2647	−	2.33363i	0.637955	−	0.0915327i
$651$			34.5891i			1.35565i
$652$	−2.76475	+	10.0842i	−0.108276	+	0.394926i
$653$	7.89301	−	15.4909i	0.308878	−	0.606206i	−0.683428	−	0.730018i	$-0.739512\pi$
$653$	7.89301	−	15.4909i	0.308878	−	0.606206i	0.992306	+	0.123811i	$0.0395118\pi$
$654$	−17.4439	+	1.78236i	−0.682110	+	0.0696959i
$655$	−14.2421	+	10.7968i	−0.556486	+	0.421867i
$656$	−4.74281	+	2.04613i	−0.185176	+	0.0798880i
$657$	2.21373	−	2.21373i	0.0863657	−	0.0863657i
$658$	−9.87728	−	37.2942i	−0.385056	−	1.45388i
$659$	23.0988	−	16.7822i	0.899800	−	0.653743i	−0.0386145	−	0.999254i	$-0.512294\pi$
$659$	23.0988	−	16.7822i	0.899800	−	0.653743i	0.938415	+	0.345511i	$0.112294\pi$
$660$	−3.99956	+	15.8451i	−0.155683	+	0.616771i
$661$	13.1962	+	9.58763i	0.513274	+	0.372916i	0.814064	−	0.580775i	$-0.197250\pi$
$661$	13.1962	+	9.58763i	0.513274	+	0.372916i	−0.300790	+	0.953690i	$0.597250\pi$
$662$	−15.5515	+	40.1650i	−0.604426	+	1.56106i
$663$	0.0632161	−	0.399131i	0.00245511	−	0.0155009i
$664$	28.0260	−	8.83773i	1.08762	−	0.342970i
$665$	−12.4125	+	90.2093i	−0.481337	+	3.49816i
$666$	1.37371	+	3.10961i	0.0532302	+	0.120495i
$667$	−12.2872	+	6.26065i	−0.475763	+	0.242413i
$668$	−10.4761	+	3.95194i	−0.405333	+	0.152905i
$669$	11.7494	+	3.81763i	0.454260	+	0.147598i
$670$	22.4521	+	4.36444i	0.867400	+	0.168613i
$671$	−14.0144	+	4.55355i	−0.541020	+	0.175788i
$672$	28.6562	−	1.08597i	1.10544	−	0.0418921i
$673$	−6.95002	−	43.8807i	−0.267903	−	1.69148i	−0.644104	−	0.764938i	$-0.722770\pi$
$673$	−6.95002	−	43.8807i	−0.267903	−	1.69148i	0.376201	−	0.926538i	$-0.377230\pi$
$674$	−2.99391	−	0.645444i	−0.115321	−	0.0248616i
$675$	4.35903	−	2.44927i	0.167779	−	0.0942723i
$676$	13.8503	+	6.26294i	0.532705	+	0.240882i
$677$	−43.8185	+	6.94016i	−1.68408	+	0.266732i	−0.923804	−	0.382867i	$-0.874937\pi$
$677$	−43.8185	+	6.94016i	−1.68408	+	0.266732i	−0.760277	+	0.649599i	$0.774937\pi$
$678$	−2.29197	+	2.81365i	−0.0880227	+	0.108058i
$679$	−14.0377	−	43.2037i	−0.538719	−	1.65801i
$680$	0.327665	−	1.04992i	0.0125654	−	0.0402626i
$681$	3.28449	−	10.1086i	0.125862	−	0.387364i
$682$	19.1187	+	29.6277i	0.732092	+	1.13450i
$683$	−10.0493	−	19.7229i	−0.384527	−	0.754676i	0.614897	−	0.788607i	$-0.289197\pi$
$683$	−10.0493	−	19.7229i	−0.384527	−	0.754676i	−0.999424	+	0.0339308i	$0.989197\pi$
$684$	−15.7342	+	3.24927i	−0.601614	+	0.124239i
$685$	13.8417	+	13.2898i	0.528865	+	0.507776i
$686$	55.9388	+	62.4894i	2.13575	+	2.38586i
$687$	−28.1843	−	4.46395i	−1.07530	−	0.170310i
$688$	5.31218	−	3.36292i	0.202525	−	0.128210i
$689$	−16.4749	+	22.6758i	−0.627644	+	0.863878i
$690$	6.02032	+	8.92565i	0.229190	+	0.339794i
$691$	8.55773	+	11.7787i	0.325551	+	0.448083i	0.940152	−	0.340755i	$-0.110683\pi$
$691$	8.55773	+	11.7787i	0.325551	+	0.448083i	−0.614601	+	0.788838i	$0.710683\pi$
$692$	−1.04014	−	22.3202i	−0.0395403	−	0.848488i
$693$	−13.0988	−	13.0988i	−0.497584	−	0.497584i
$694$	−24.8057	−	14.4175i	−0.941612	−	0.547282i
$695$	−15.6884	+	5.45267i	−0.595094	+	0.206831i
$696$	3.63481	−	10.8647i	0.137777	−	0.411824i
$697$	−0.200092	−	0.101952i	−0.00757903	−	0.00386171i
$698$	19.9292	+	1.10233i	0.754332	+	0.0417240i
$699$	−14.1462			−0.535060
$700$	−26.1100	+	43.4526i	−0.986864	+	1.64235i
$701$	−25.3484			−0.957396			−0.478698	−	0.877980i	$-0.658891\pi$
$701$	−25.3484			−0.957396			−0.478698	+	0.877980i	$0.658891\pi$
$702$	−3.28124	−	0.181494i	−0.123842	−	0.00685004i
$703$	17.2055	+	8.76666i	0.648919	+	0.330641i
$704$	23.9455	−	16.7695i	0.902482	−	0.632026i
$705$	0.244750	+	12.0306i	0.00921783	+	0.453100i
$706$	−7.13919	−	4.14943i	−0.268687	−	0.156166i
$707$	50.0342	+	50.0342i	1.88173	+	1.88173i
$708$	20.8755	−	0.972820i	0.784551	−	0.0365608i
$709$	1.90556	+	2.62277i	0.0715646	+	0.0985003i	0.843299	−	0.537445i	$-0.180610\pi$
$709$	1.90556	+	2.62277i	0.0715646	+	0.0985003i	−0.771734	+	0.635945i	$0.780610\pi$
$710$	6.90879	+	2.51466i	0.259282	+	0.0943735i
$711$	−2.99121	+	4.11705i	−0.112179	+	0.154401i
$712$	−0.916452	−	0.932518i	−0.0343455	−	0.0349476i
$713$	22.9439	+	3.63396i	0.859256	+	0.136093i
$714$	0.831550	+	0.928926i	0.0311200	+	0.0347642i
$715$	3.35111	+	18.6893i	0.125324	+	0.698940i
$716$	6.24616	+	30.2463i	0.233430	+	1.13036i
$717$	6.23387	+	12.2347i	0.232808	+	0.456912i
$718$	11.0107	+	17.0629i	0.410915	+	0.636783i
$719$	−5.03398	+	15.4930i	−0.187736	+	0.577792i	−0.999985	−	0.00551941i	$-0.998243\pi$
$719$	−5.03398	+	15.4930i	−0.187736	+	0.577792i	0.812249	+	0.583311i	$0.198243\pi$
$720$	−8.76477	−	1.78294i	−0.326644	−	0.0664464i
$721$	−3.07426	−	9.46159i	−0.114491	−	0.352368i
$722$	−40.6671	+	49.9233i	−1.51347	+	1.85795i
$723$	−13.9024	+	2.20192i	−0.517035	+	0.0818904i
$724$	−10.7481	+	23.7692i	−0.399451	+	0.883375i
$725$	12.5607	+	15.8869i	0.466491	+	0.590025i
$726$	−3.25322	−	0.701348i	−0.120738	−	0.0260295i
$727$	1.01165	+	6.38733i	0.0375201	+	0.236893i	0.999320	−	0.0368591i	$-0.0117353\pi$
$727$	1.01165	+	6.38733i	0.0375201	+	0.236893i	−0.961800	+	0.273752i	$0.911735\pi$
$728$	29.8174	−	14.8678i	1.10510	−	0.551037i
$729$	−0.951057	+	0.309017i	−0.0352243	+	0.0114451i
$730$	4.79973	−	8.65877i	0.177646	−	0.320476i
$731$	0.259962	+	0.0844668i	0.00961504	+	0.00312412i
$732$	−2.84658	−	7.54595i	−0.105213	−	0.278906i
$733$	−32.8807	+	16.7535i	−1.21447	+	0.618806i	−0.939468	−	0.342637i	$-0.888680\pi$
$733$	−32.8807	+	16.7535i	−1.21447	+	0.618806i	−0.275007	+	0.961442i	$0.588680\pi$
$734$	7.31246	+	16.5529i	0.269908	+	0.610980i
$735$	−19.7358	−	36.8604i	−0.727965	−	1.35962i
$736$	2.29029	−	19.1225i	0.0844212	−	0.704866i
$737$	−4.13463	+	26.1050i	−0.152301	+	0.961591i
$738$	−0.659397	+	1.70303i	−0.0242728	+	0.0626894i
$739$	7.37894	+	5.36112i	0.271439	+	0.197212i	0.715175	−	0.698946i	$-0.246347\pi$
$739$	7.37894	+	5.36112i	0.271439	+	0.197212i	−0.443736	+	0.896158i	$0.646347\pi$
$740$	6.88617	+	8.25520i	0.253141	+	0.303467i
$741$	−15.1018	+	10.9721i	−0.554778	+	0.403070i
$742$	−22.1392	−	83.5923i	−0.812756	−	3.06877i
$743$	30.2418	−	30.2418i	1.10946	−	1.10946i	0.116243	−	0.993221i	$-0.462915\pi$
$743$	30.2418	−	30.2418i	1.10946	−	1.10946i	0.993221	−	0.116243i	$-0.0370853\pi$
$744$	−15.7110	+	11.2074i	−0.575993	+	0.410884i
$745$	4.26966	+	2.97131i	0.156428	+	0.108860i
$746$	16.4177	−	1.67751i	0.601095	−	0.0614179i
$747$	4.71681	−	9.25727i	0.172579	−	0.338706i
$748$	1.22573	+	0.336054i	0.0448170	+	0.0122874i
$749$			12.1798i			0.445039i
$750$	11.1157	−	11.2446i	0.405887	−	0.410596i
$751$		−	30.4435i		−	1.11090i	−0.831550	−	0.555450i	$-0.812546\pi$
$751$		−	30.4435i		−	1.11090i	0.831550	−	0.555450i	$-0.187454\pi$
$752$	13.7393	−	16.5704i	0.501021	−	0.604260i
$753$	−10.6198	+	20.8425i	−0.387007	+	0.759543i
$754$	−1.35303	−	13.2420i	−0.0492745	−	0.482247i
$755$	0.889571	+	0.619064i	0.0323748	+	0.0225300i
$756$	6.82768	−	7.49514i	0.248320	−	0.272596i
$757$	21.7586	−	21.7586i	0.790830	−	0.790830i	−0.190799	−	0.981629i	$-0.561108\pi$
$757$	21.7586	−	21.7586i	0.790830	−	0.790830i	0.981629	+	0.190799i	$0.0611080\pi$
$758$	26.8186	−	7.10282i	0.974094	−	0.257986i
$759$	−10.0650	+	7.31266i	−0.365337	+	0.265433i
$760$	−44.9966	+	23.5913i	−1.63220	+	0.855746i
$761$	−43.4573	−	31.5736i	−1.57533	−	1.14454i	−0.921820	−	0.387619i	$-0.873298\pi$
$761$	−43.4573	−	31.5736i	−1.57533	−	1.14454i	−0.653505	−	0.756922i	$-0.726702\pi$
$762$	7.79875	+	3.01961i	0.282519	+	0.109389i
$763$	9.83266	−	62.0810i	0.355966	−	2.24748i
$764$	6.00357	+	10.5390i	0.217202	+	0.381288i
$765$	−0.183550	−	0.342815i	−0.00663625	−	0.0123945i
$766$	17.2283	−	7.61083i	0.622484	−	0.274990i
$767$	21.6345	−	11.0233i	0.781175	−	0.398029i
$768$	9.77834	+	12.6643i	0.352845	+	0.456983i
$769$	−31.7516	−	10.3167i	−1.14499	−	0.372031i	−0.325738	−	0.945460i	$-0.605613\pi$
$769$	−31.7516	−	10.3167i	−1.14499	−	0.372031i	−0.819255	+	0.573429i	$0.805613\pi$
$770$	−51.2348	−	28.4005i	−1.84637	−	1.02348i
$771$	2.18769	−	0.710823i	0.0787877	−	0.0255997i
$772$	27.4215	+	34.2667i	0.986922	+	1.23329i
$773$	0.594263	+	3.75203i	0.0213742	+	0.134951i	0.996068	−	0.0885934i	$-0.0282372\pi$
$773$	0.594263	+	3.75203i	0.0213742	+	0.134951i	−0.974694	+	0.223545i	$0.928237\pi$
$774$	0.468452	−	2.17293i	0.0168382	−	0.0781042i
$775$	−1.38752	−	34.0875i	−0.0498412	−	1.22446i
$776$	15.0755	−	20.3749i	0.541177	−	0.731417i
$777$	−12.0359	+	1.90630i	−0.431785	+	0.0683880i
$778$	27.3730	+	22.2978i	0.981369	+	0.799414i
$779$	3.20558	+	9.86577i	0.114852	+	0.353478i
$780$	−10.1325	+	2.30828i	−0.362800	+	0.0826497i
$781$	−2.62538	+	8.08010i	−0.0939436	+	0.289129i
$782$	0.703546	−	0.453997i	0.0251588	−	0.0162349i
$783$	−1.83889	−	3.60903i	−0.0657166	−	0.128976i
$784$	−16.3971	+	72.9749i	−0.585612	+	2.60625i
$785$	−0.463321	−	2.58397i	−0.0165366	−	0.0922257i
$786$	8.42183	−	7.53900i	0.300397	−	0.268907i
$787$	49.7140	+	7.87392i	1.77211	+	0.280675i	0.955173	−	0.296048i	$-0.0956688\pi$
$787$	49.7140	+	7.87392i	1.77211	+	0.280675i	0.816940	+	0.576723i	$0.195669\pi$
$788$	10.1256	+	6.65932i	0.360708	+	0.237228i
$789$	1.72694	−	2.37694i	0.0614809	−	0.0846212i
$790$	−5.50415	+	15.1221i	−0.195829	+	0.538021i
$791$	−7.64623	−	10.5241i	−0.271869	−	0.374195i
$792$	1.70549	−	10.1940i	0.0606020	−	0.362227i
$793$	−6.62592	−	6.62592i	−0.235293	−	0.235293i
$794$	7.81265	−	13.4419i	0.277261	−	0.477034i
$795$	0.548590	+	26.9658i	0.0194565	+	0.956378i
$796$	−16.9085	−	1.87624i	−0.599306	−	0.0665016i
$797$	26.4812	+	13.4929i	0.938013	+	0.477942i	0.855012	−	0.518608i	$-0.173550\pi$
$797$	26.4812	+	13.4929i	0.938013	+	0.477942i	0.0830009	+	0.996549i	$0.473550\pi$
$798$	3.18063	−	57.5030i	0.112593	−	2.03558i
$799$	0.935840			0.0331076
$800$	−28.1970	+	2.21974i	−0.996916	+	0.0784798i
$801$	−0.462260			−0.0163332
$802$	1.36224	−	24.6281i	0.0481025	−	0.869650i
$803$	10.1933	+	5.19373i	0.359712	+	0.183283i
$804$	−14.3775	−	1.59539i	−0.507056	−	0.0562652i
$805$	−36.4535	+	12.6698i	−1.28482	+	0.446552i
$806$	−11.2675	+	19.3860i	−0.396880	+	0.682842i
$807$	4.62896	+	4.62896i	0.162947	+	0.162947i
$808$	−6.51454	+	38.9384i	−0.229181	+	1.36985i
$809$	−0.842151	−	1.15912i	−0.0296085	−	0.0407525i	0.793956	−	0.607975i	$-0.208018\pi$
$809$	−0.842151	−	1.15912i	−0.0296085	−	0.0407525i	−0.823565	+	0.567223i	$0.808018\pi$
$810$	−2.62166	+	1.76830i	−0.0921158	+	0.0621318i
$811$	−11.2040	+	15.4209i	−0.393425	+	0.541503i	−0.959079	−	0.283140i	$-0.908624\pi$
$811$	−11.2040	+	15.4209i	−0.393425	+	0.541503i	0.565654	+	0.824643i	$0.308624\pi$
$812$	34.3116	+	22.5659i	1.20410	+	0.791907i
$813$	8.88988	+	1.40802i	0.311782	+	0.0493814i
$814$	−9.25580	+	8.28554i	−0.324416	+	0.290408i
$815$	8.43285	+	8.09657i	0.295390	+	0.283611i
$816$	−0.152499	+	0.678692i	−0.00533854	+	0.0237590i
$817$	−5.73226	−	11.2502i	−0.200546	−	0.393595i
$818$	0.344956	−	0.222599i	0.0120611	−	0.00778300i
$819$	3.64019	−	11.2033i	0.127198	−	0.391476i
$820$	−0.520038	+	5.75158i	−0.0181605	+	0.200854i
$821$	11.2314	+	34.5666i	0.391978	+	1.20638i	0.931290	+	0.364278i	$0.118684\pi$
$821$	11.2314	+	34.5666i	0.391978	+	1.20638i	−0.539312	+	0.842106i	$0.681316\pi$
$822$	−9.40935	−	7.66477i	−0.328189	−	0.267340i
$823$	−38.2611	+	6.05996i	−1.33370	+	0.211237i	−0.782246	−	0.622970i	$-0.785926\pi$
$823$	−38.2611	+	6.05996i	−1.33370	+	0.211237i	−0.551452	+	0.834207i	$0.685926\pi$
$824$	3.30152	−	4.46209i	0.115014	−	0.155444i
$825$	13.4343	+	12.3834i	0.467723	+	0.431136i
$826$	−15.7871	+	73.2291i	−0.549305	+	2.54797i
$827$	−5.96468	−	37.6595i	−0.207412	−	1.30955i	−0.843164	−	0.537656i	$-0.819310\pi$
$827$	−5.96468	−	37.6595i	−0.207412	−	1.30955i	0.635752	−	0.771894i	$-0.280690\pi$
$828$	−4.25442	−	5.31644i	−0.147851	−	0.184759i
$829$	38.8788	−	12.6325i	1.35032	−	0.438745i	0.457519	−	0.889200i	$-0.348738\pi$
$829$	38.8788	−	12.6325i	1.35032	−	0.438745i	0.892799	+	0.450455i	$0.148738\pi$
$830$	6.26931	−	32.2513i	0.217611	−	1.11946i
$831$	−22.5657	−	7.33205i	−0.782797	−	0.254346i
$832$	16.4145	+	8.72618i	0.569072	+	0.302526i
$833$	−2.89733	+	1.47627i	−0.100387	+	0.0511496i
$834$	9.60859	−	4.24472i	0.332718	−	0.146983i
$835$	−1.70641	+	12.4015i	−0.0590527	+	0.429171i
$836$	−29.0597	−	51.0130i	−1.00505	−	1.76432i
$837$	−1.06737	+	6.73913i	−0.0368938	+	0.232938i
$838$	33.0653	+	12.8026i	1.14222	+	0.442258i
$839$	23.4014	+	17.0021i	0.807905	+	0.586977i	0.913222	−	0.407461i	$-0.133586\pi$
$839$	23.4014	+	17.0021i	0.807905	+	0.586977i	−0.105318	+	0.994439i	$0.533586\pi$
$840$	14.2218	−	28.7347i	0.490699	−	0.991442i
$841$	−10.1883	+	7.40223i	−0.351320	+	0.255249i
$842$	37.0387	−	9.80960i	1.27644	−	0.338061i
$843$	−8.27040	+	8.27040i	−0.284848	+	0.284848i
$844$	32.2265	−	35.3769i	1.10928	−	1.21772i
$845$	13.5430	−	10.2668i	0.465893	−	0.353189i
$846$	−0.773580	−	7.57099i	−0.0265962	−	0.260296i
$847$	5.41583	−	10.6292i	0.186090	−	0.365223i
$848$	30.7957	−	37.1413i	1.05753	−	1.27544i
$849$			5.54261i			0.190222i
$850$	−0.856754	−	0.882098i	−0.0293864	−	0.0302557i
$851$			8.18402i			0.280544i
$852$	−4.48445	−	1.22949i	−0.153635	−	0.0421217i
$853$	−18.8285	+	36.9530i	−0.644675	+	1.26525i	0.305103	+	0.952319i	$0.401309\pi$
$853$	−18.8285	+	36.9530i	−0.644675	+	1.26525i	−0.949778	+	0.312926i	$0.898691\pi$
$854$	28.7600	−	2.93861i	0.984148	−	0.100557i
$855$	−5.20213	+	17.1928i	−0.177909	+	0.587982i
$856$	−5.53227	+	3.94645i	−0.189089	+	0.134887i
$857$	17.7064	−	17.7064i	0.604839	−	0.604839i	−0.336754	−	0.941593i	$-0.609329\pi$
$857$	17.7064	−	17.7064i	0.604839	−	0.604839i	0.941593	+	0.336754i	$0.109329\pi$
$858$	−3.07446	−	11.6084i	−0.104960	−	0.396305i
$859$	4.27825	−	3.10833i	0.145972	−	0.106055i	−0.512402	−	0.858745i	$-0.671244\pi$
$859$	4.27825	−	3.10833i	0.145972	−	0.106055i	0.658374	+	0.752691i	$0.271244\pi$
$860$	−0.469966	−	7.01354i	−0.0160257	−	0.239160i
$861$	−5.29606	−	3.84781i	−0.180489	−	0.131133i
$862$	−8.69616	+	22.4596i	−0.296192	+	0.764978i
$863$	−6.09322	+	38.4711i	−0.207416	+	1.30957i	0.635741	+	0.771903i	$0.280695\pi$
$863$	−6.09322	+	38.4711i	−0.207416	+	1.30957i	−0.843156	+	0.537668i	$0.819305\pi$
$864$	5.61671	+	0.672709i	0.191084	+	0.0228860i
$865$	−22.4851	−	10.8864i	−0.764515	−	0.370150i
$866$	2.02289	+	4.57914i	0.0687407	+	0.155605i
$867$	15.1202	−	7.70411i	0.513508	−	0.261645i
$868$	−24.4167	−	64.7259i	−0.828757	−	2.19694i
$869$	−17.6859	−	5.74650i	−0.599954	−	0.194937i
$870$	−8.73551	−	9.36785i	−0.296162	−	0.317600i
$871$	−15.9847	+	5.19374i	−0.541620	+	0.175983i
$872$	31.3843	−	15.6491i	1.06281	−	0.529945i
$873$	−1.40182	−	8.85075i	−0.0474445	−	0.299552i
$874$	−37.8092	−	8.15112i	−1.27892	−	0.275716i
$875$	28.7629	+	48.8367i	0.972362	+	1.65098i
$876$	−2.57982	+	5.70519i	−0.0871640	+	0.192761i
$877$	21.9564	−	3.47756i	0.741416	−	0.117429i	0.225710	−	0.974195i	$-0.427530\pi$
$877$	21.9564	−	3.47756i	0.741416	−	0.117429i	0.515706	+	0.856766i	$0.327530\pi$
$878$	25.0572	−	30.7605i	0.845640	−	1.03812i
$879$	5.52815	+	17.0139i	0.186460	+	0.573864i
$880$	−3.70091	−	32.4740i	−0.124758	−	1.09470i
$881$	1.35026	−	4.15569i	0.0454916	−	0.140009i	−0.925731	−	0.378183i	$-0.876549\pi$
$881$	1.35026	−	4.15569i	0.0454916	−	0.140009i	0.971222	+	0.238174i	$0.0765490\pi$
$882$	14.3380	+	22.2193i	0.482787	+	0.748162i
$883$	11.2399	+	22.0596i	0.378254	+	0.742365i	0.999137	−	0.0415385i	$-0.0132259\pi$
$883$	11.2399	+	22.0596i	0.378254	+	0.742365i	−0.620883	+	0.783903i	$0.713226\pi$
$884$	0.163454	+	0.791510i	0.00549757	+	0.0266214i
$885$	10.1818	−	21.0297i	0.342258	−	0.706906i
$886$	19.3060	+	21.5668i	0.648599	+	0.724551i
$887$	−23.2179	−	3.67735i	−0.779581	−	0.123473i	−0.246053	−	0.969256i	$-0.579134\pi$
$887$	−23.2179	−	3.67735i	−0.779581	−	0.123473i	−0.533527	+	0.845783i	$0.679134\pi$
$888$	−4.76570	−	4.84924i	−0.159926	−	0.162730i
$889$	−17.6204	+	24.2525i	−0.590971	+	0.813401i
$890$	−1.40517	+	0.402913i	−0.0471014	+	0.0135057i
$891$	−2.14789	−	2.95632i	−0.0719570	−	0.0990403i
$892$	−24.6814	+	1.15018i	−0.826395	+	0.0385108i
$893$	−30.5677	−	30.5677i	−1.02291	−	1.02291i
$894$	−2.84436	−	1.65320i	−0.0951298	−	0.0552912i
$895$	33.0502	+	10.0002i	1.10475	+	0.334269i
$896$	−52.8572	+	22.2608i	−1.76583	+	0.743680i
$897$	−7.04905	−	3.59167i	−0.235361	−	0.119922i
$898$	−44.4408	−	2.45813i	−1.48301	−	0.0820290i
$899$	−27.6371			−0.921750
$900$	−6.42801	+	7.66034i	−0.214267	+	0.255345i
$901$	2.09762			0.0698818
$902$	−6.66323	−	0.368560i	−0.221861	−	0.0122717i
$903$	7.09955	+	3.61740i	0.236258	+	0.120380i
$904$	2.30275	−	6.88305i	0.0765883	−	0.228927i
$905$	17.6194	+	23.2417i	0.585687	+	0.772581i
$906$	−0.592615	−	0.344439i	−0.0196883	−	0.0114432i
$907$	−17.2451	−	17.2451i	−0.572613	−	0.572613i	0.360245	−	0.932858i	$-0.382693\pi$
$907$	−17.2451	−	17.2451i	−0.572613	−	0.572613i	−0.932858	+	0.360245i	$0.882693\pi$
$908$	0.989555	+	21.2347i	0.0328395	+	0.704697i
$909$	8.20438	+	11.2924i	0.272122	+	0.374544i
$910$	1.30037	−	37.2286i	0.0431067	−	1.23412i
$911$	−9.09960	+	12.5245i	−0.301483	+	0.414956i	−0.932702	−	0.360649i	$-0.882555\pi$
$911$	−9.09960	+	12.5245i	−0.301483	+	0.414956i	0.631218	+	0.775605i	$0.282555\pi$
$912$	27.1495	−	17.1872i	0.899010	−	0.569126i
$913$	37.4986	+	5.93919i	1.24102	+	0.196559i
$914$	−15.2788	−	17.0680i	−0.505378	−	0.564559i
$915$	−8.93279	−	1.22913i	−0.295309	−	0.0406337i
$916$	55.8919	−	11.5422i	1.84672	−	0.381365i
$917$	18.3946	+	36.1014i	0.607443	+	1.19217i
$918$	0.133349	+	0.206647i	0.00440117	+	0.00682037i
$919$	1.20487	−	3.70821i	0.0397450	−	0.122323i	−0.929215	−	0.369539i	$-0.879516\pi$
$919$	1.20487	−	3.70821i	0.0397450	−	0.122323i	0.968960	+	0.247216i	$0.0795157\pi$
$920$	−17.5664	−	12.4526i	−0.579147	−	0.410551i
$921$	−8.45983	−	26.0367i	−0.278761	−	0.857938i
$922$	−29.8614	+	36.6582i	−0.983433	+	1.20727i
$923$	−5.33610	+	0.845155i	−0.175640	+	0.0278186i
$924$	33.7582	+	15.2650i	1.11056	+	0.502183i
$925$	11.7849	−	2.36146i	0.387484	−	0.0776444i
$926$	−4.66849	−	1.00646i	−0.153416	−	0.0330743i
$927$	−0.306998	−	1.93831i	−0.0100831	−	0.0636624i
$928$	0.867702	+	22.8967i	0.0284837	+	0.751620i
$929$	38.5916	−	12.5392i	1.26615	−	0.411397i	0.402468	−	0.915434i	$-0.368153\pi$
$929$	38.5916	−	12.5392i	1.26615	−	0.411397i	0.863682	+	0.504037i	$0.168153\pi$
$930$	2.62935	+	21.4158i	0.0862198	+	0.702253i
$931$	142.856	+	46.4168i	4.68193	+	1.52125i
$932$	26.4716	−	9.98595i	0.867106	−	0.327101i
$933$	29.5474	−	15.0552i	0.967340	−	0.492884i
$934$	−13.7548	−	31.1363i	−0.450072	−	1.01881i
$935$	0.984137	−	1.02501i	0.0321847	−	0.0335214i
$936$	6.26824	−	1.97663i	0.204884	−	0.0646081i
$937$	0.186494	−	1.17748i	0.00609250	−	0.0384665i	−0.984455	−	0.175638i	$-0.943801\pi$
$937$	0.186494	−	1.17748i	0.00609250	−	0.0384665i	0.990547	+	0.137172i	$0.0438012\pi$
$938$	18.7229	−	48.3557i	0.611324	−	1.57887i
$939$	13.1883	+	9.58188i	0.430385	+	0.312693i
$940$	−8.95051	−	22.3399i	−0.291934	−	0.728648i
$941$	−33.0777	+	24.0323i	−1.07830	+	0.783432i	−0.977386	−	0.211463i	$-0.932177\pi$
$941$	−33.0777	+	24.0323i	−1.07830	+	0.783432i	−0.100915	+	0.994895i	$0.532177\pi$
$942$	0.425073	+	1.60497i	0.0138496	+	0.0522928i
$943$	−3.10877	+	3.10877i	−0.101236	+	0.101236i
$944$	−38.3773	+	16.5566i	−1.24907	+	0.538872i
$945$	−3.72141	−	10.7072i	−0.121057	−	0.348305i
$946$	8.08068	−	0.825658i	0.262726	−	0.0268445i
$947$	−9.49396	+	18.6329i	−0.308512	+	0.605489i	−0.992253	−	0.124236i	$-0.960352\pi$
$947$	−9.49396	+	18.6329i	−0.308512	+	0.605489i	0.683741	+	0.729725i	$0.260352\pi$
$948$	2.69114	−	9.81567i	0.0874041	−	0.318798i
$949$			7.27488i			0.236152i
$950$	−0.827809	+	56.7967i	−0.0268577	+	1.84273i
$951$			1.62504i			0.0526954i
$952$	−2.21180	−	1.15128i	−0.0716848	−	0.0373133i
$953$	−15.2023	+	29.8361i	−0.492450	+	0.966488i	0.502352	+	0.864663i	$0.332468\pi$
$953$	−15.2023	+	29.8361i	−0.492450	+	0.966488i	−0.994802	+	0.101825i	$0.967532\pi$
$954$	−1.73392	−	16.9698i	−0.0561379	−	0.549419i
$955$	13.5579	−	0.275821i	0.438722	−	0.00892535i
$956$	−20.3019	−	18.4939i	−0.656609	−	0.598137i
$957$	10.4662	−	10.4662i	0.338323	−	0.338323i
$958$	2.15595	−	0.570998i	0.0696556	−	0.0184481i
$959$	35.1946	−	25.5704i	1.13649	−	0.825711i
$960$	17.6599	−	2.85073i	0.569972	−	0.0920069i
$961$	12.5844	+	9.14311i	0.405949	+	0.294939i
$962$	−7.36667	−	2.85231i	−0.237511	−	0.0919621i
$963$	−0.375852	+	2.37303i	−0.0121117	+	0.0764700i
$964$	24.4609	−	13.9342i	0.787833	−	0.448791i
$965$	48.2979	−	8.66011i	1.55476	−	0.278779i
$966$	22.3265	−	9.86303i	0.718344	−	0.317338i
$967$	−42.1959	+	21.4999i	−1.35693	+	0.691390i	−0.972747	−	0.231868i	$-0.925516\pi$
$967$	−42.1959	+	21.4999i	−1.35693	+	0.691390i	−0.384181	+	0.923258i	$0.625516\pi$
$968$	6.58278	−	0.984057i	0.211579	−	0.0316288i
$969$	1.32861	+	0.431693i	0.0426813	+	0.0138680i
$970$	−11.9757	−	25.6825i	−0.384516	−	0.824616i
$971$	−2.37842	+	0.772795i	−0.0763271	+	0.0248002i	−0.346932	−	0.937890i	$-0.612776\pi$
$971$	−2.37842	+	0.772795i	−0.0763271	+	0.0248002i	0.270605	+	0.962691i	$0.412776\pi$
$972$	1.56156	−	1.24962i	0.0500870	−	0.0400815i
$973$	5.89039	+	37.1904i	0.188837	+	1.19227i
$974$	−3.06433	+	14.2140i	−0.0981875	+	0.455446i
$975$	−3.13798	+	11.1869i	−0.100496	+	0.358267i
$976$	10.6535	+	12.1112i	0.341010	+	0.387669i
$977$	−30.5830	+	4.84387i	−0.978436	+	0.154969i	−0.625114	−	0.780533i	$-0.714948\pi$
$977$	−30.5830	+	4.84387i	−0.978436	+	0.154969i	−0.353321	+	0.935502i	$0.614948\pi$
$978$	−5.73249	−	4.66964i	−0.183305	−	0.149319i
$979$	−0.521990	−	1.60652i	−0.0166829	−	0.0513446i
$980$	62.9512	+	55.0445i	2.01090	+	1.75833i
$981$	3.83148	−	11.7921i	0.122330	−	0.376492i
$982$	35.5832	−	22.9618i	1.13551	−	0.732739i
$983$	−13.7947	−	27.0737i	−0.439983	−	0.863516i	−0.999400	−	0.0346297i	$-0.988975\pi$
$983$	−13.7947	−	27.0737i	−0.439983	−	0.863516i	0.559417	−	0.828887i	$-0.311025\pi$
$984$	0.0317356	−	3.65232i	0.00101169	−	0.116432i
$985$	11.9452	−	6.39568i	0.380605	−	0.203783i
$986$	−0.742225	+	0.664420i	−0.0236372	+	0.0211594i
$987$	26.9443	+	4.26757i	0.857648	+	0.135838i
$988$	20.5144	−	31.1923i	0.652650	−	0.992361i
$989$	3.14541	−	4.32928i	0.100018	−	0.137663i
$990$	−9.10589	−	7.11442i	−0.289404	−	0.226111i
$991$	−2.41083	−	3.31822i	−0.0765826	−	0.105407i	0.769007	−	0.639240i	$-0.220751\pi$
$991$	−2.41083	−	3.31822i	−0.0765826	−	0.105407i	−0.845590	+	0.533833i	$0.820751\pi$
$992$	21.4883	−	32.0628i	0.682253	−	1.01799i
$993$	−21.5353	−	21.5353i	−0.683401	−	0.683401i
$994$	8.37584	−	14.4108i	0.265666	−	0.457084i
$995$	−10.8646	+	15.6120i	−0.344430	+	0.494932i
$996$	−2.29170	+	20.6526i	−0.0726154	+	0.654402i
$997$	−22.2908	−	11.3577i	−0.705957	−	0.359703i	0.0638675	−	0.997958i	$-0.479656\pi$
$997$	−22.2908	−	11.3577i	−0.705957	−	0.359703i	−0.769825	+	0.638255i	$0.779656\pi$
$998$	−0.925353	+	16.7295i	−0.0292915	+	0.529565i
$999$	−2.40383			−0.0760537

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.w.a.163.16	yes	240
3.2	odd	2		900.2.bj.f.163.15		240
4.3	odd	2	inner	300.2.w.a.163.20	yes	240
12.11	even	2		900.2.bj.f.163.11		240
25.2	odd	20	inner	300.2.w.a.127.20	yes	240
75.2	even	20		900.2.bj.f.127.11		240
100.27	even	20	inner	300.2.w.a.127.16	✓	240
300.227	odd	20		900.2.bj.f.127.15		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.w.a.127.16	✓	240	100.27	even	20	inner
300.2.w.a.127.20	yes	240	25.2	odd	20	inner
300.2.w.a.163.16	yes	240	1.1	even	1	trivial
300.2.w.a.163.20	yes	240	4.3	odd	2	inner
900.2.bj.f.127.11		240	75.2	even	20
900.2.bj.f.127.15		240	300.227	odd	20
900.2.bj.f.163.11		240	12.11	even	2
900.2.bj.f.163.15		240	3.2	odd	2

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:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.w (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0781043 - 1.41206i) q^{2} +(0.891007 + 0.453990i) q^{3} +(-1.98780 - 0.220575i) q^{4} +(-1.27726 + 1.83538i) q^{5} +(0.710651 - 1.22269i) q^{6} +(3.58459 + 3.58459i) q^{7} +(-0.466720 + 2.78965i) q^{8} +(0.587785 + 0.809017i) q^{9} +O(q^{10})\)	\(q+(0.0781043 - 1.41206i) q^{2} +(0.891007 + 0.453990i) q^{3} +(-1.98780 - 0.220575i) q^{4} +(-1.27726 + 1.83538i) q^{5} +(0.710651 - 1.22269i) q^{6} +(3.58459 + 3.58459i) q^{7} +(-0.466720 + 2.78965i) q^{8} +(0.587785 + 0.809017i) q^{9} +(2.49189 + 1.94691i) q^{10} +(-2.14789 + 2.95632i) q^{11} +(-1.67100 - 1.09898i) q^{12} +(-2.29513 - 0.363512i) q^{13} +(5.34161 - 4.78167i) q^{14} +(-1.97129 + 1.05547i) q^{15} +(3.90269 + 0.876918i) q^{16} +(0.0789506 + 0.154949i) q^{17} +(1.18829 - 0.766797i) q^{18} +(2.48237 - 7.63995i) q^{19} +(2.94378 - 3.36663i) q^{20} +(1.56652 + 4.82127i) q^{21} +(4.00672 + 3.26384i) q^{22} +(3.36266 - 0.532593i) q^{23} +(-1.68233 + 2.27371i) q^{24} +(-1.73721 - 4.68851i) q^{25} +(-0.692558 + 3.21245i) q^{26} +(0.156434 + 0.987688i) q^{27} +(-6.33478 - 7.91612i) q^{28} +(-3.85226 + 1.25167i) q^{29} +(1.33641 + 2.86601i) q^{30} +(6.48919 + 2.10846i) q^{31} +(1.54307 - 5.44233i) q^{32} +(-3.25592 + 1.65898i) q^{33} +(0.224963 - 0.0993804i) q^{34} +(-11.1575 + 2.00061i) q^{35} +(-0.989950 - 1.73781i) q^{36} +(-0.376041 + 2.37423i) q^{37} +(-10.5941 - 4.10196i) q^{38} +(-1.87994 - 1.36586i) q^{39} +(-4.52394 - 4.41972i) q^{40} +(-1.04472 + 0.759030i) q^{41} +(6.93024 - 1.83546i) q^{42} +(1.11142 - 1.11142i) q^{43} +(4.92166 - 5.40279i) q^{44} +(-2.23561 + 0.0454810i) q^{45} +(-0.489413 - 4.78986i) q^{46} +(2.44309 - 4.79484i) q^{47} +(3.07921 + 2.55313i) q^{48} +18.6986i q^{49} +(-6.75611 + 2.08684i) q^{50} +0.173904i q^{51} +(4.48207 + 1.22884i) q^{52} +(5.47602 - 10.7473i) q^{53} +(1.40689 - 0.143751i) q^{54} +(-2.68254 - 7.71817i) q^{55} +(-11.6728 + 8.32677i) q^{56} +(5.68027 - 5.68027i) q^{57} +(1.46656 + 5.53736i) q^{58} +(-8.45350 + 6.14182i) q^{59} +(4.15134 - 1.66324i) q^{60} +(3.26236 + 2.37025i) q^{61} +(3.48410 - 8.99841i) q^{62} +(-0.793026 + 5.00697i) q^{63} +(-7.56434 - 2.60397i) q^{64} +(3.59866 - 3.74812i) q^{65} +(2.08826 + 4.72711i) q^{66} +(6.44454 - 3.28366i) q^{67} +(-0.122760 - 0.325423i) q^{68} +(3.23795 + 1.05207i) q^{69} +(1.95353 + 15.9113i) q^{70} +(2.21118 - 0.718455i) q^{71} +(-2.53121 + 1.26213i) q^{72} +(-0.489747 - 3.09214i) q^{73} +(3.32318 + 0.716429i) q^{74} +(0.580674 - 4.96617i) q^{75} +(-6.61964 + 14.6391i) q^{76} +(-18.2965 + 2.89788i) q^{77} +(-2.07550 + 2.54790i) q^{78} +(1.57257 + 4.83988i) q^{79} +(-6.59423 + 6.04286i) q^{80} +(-0.309017 + 0.951057i) q^{81} +(0.990196 + 1.53448i) q^{82} +(-4.71681 - 9.25727i) q^{83} +(-2.05048 - 9.92924i) q^{84} +(-0.385231 - 0.0530066i) q^{85} +(-1.48259 - 1.65620i) q^{86} +(-4.00064 - 0.633638i) q^{87} +(-7.24464 - 7.37164i) q^{88} +(-0.271710 + 0.373976i) q^{89} +(-0.110389 + 3.16035i) q^{90} +(-6.92404 - 9.53013i) q^{91} +(-6.80178 + 0.316969i) q^{92} +(4.82469 + 4.82469i) q^{93} +(-6.57976 - 3.82428i) q^{94} +(10.8515 + 14.3143i) q^{95} +(3.84565 - 4.14861i) q^{96} +(-7.98438 - 4.06824i) q^{97} +(26.4035 + 1.46044i) q^{98} -3.65421 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q + 12 q^{8}+O(q^{10}) \) 240 * q + 12 * q^8	\( 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) \) 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Introduction

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