LMFDB - Embedded newform 300.2.w.a.163.20

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			163.20
Character	$\chi$	$=$	300.163
Dual form			300.2.w.a.127.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.510631 + 1.31881i) q^{2} +(-0.891007 - 0.453990i) q^{3} +(-1.47851 + 1.34685i) q^{4} +(-1.27726 + 1.83538i) q^{5} +(0.143751 - 1.40689i) q^{6} +(-3.58459 - 3.58459i) q^{7} +(-2.53121 - 1.26213i) q^{8} +(0.587785 + 0.809017i) q^{9} +O(q^{10})$	\(q+(0.510631 + 1.31881i) q^{2} +(-0.891007 - 0.453990i) q^{3} +(-1.47851 + 1.34685i) q^{4} +(-1.27726 + 1.83538i) q^{5} +(0.143751 - 1.40689i) q^{6} +(-3.58459 - 3.58459i) q^{7} +(-2.53121 - 1.26213i) q^{8} +(0.587785 + 0.809017i) q^{9} +(-3.07272 - 0.747264i) q^{10} +(2.14789 - 2.95632i) q^{11} +(1.92882 - 0.528820i) q^{12} +(-2.29513 - 0.363512i) q^{13} +(2.89699 - 6.55779i) q^{14} +(1.97129 - 1.05547i) q^{15} +(0.372000 - 3.98266i) q^{16} +(0.0789506 + 0.154949i) q^{17} +(-0.766797 + 1.18829i) q^{18} +(-2.48237 + 7.63995i) q^{19} +(-0.583526 - 4.43390i) q^{20} +(1.56652 + 4.82127i) q^{21} +(4.99559 + 1.32307i) 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} +(10.1278 + 0.471963i) q^{28} +(-3.85226 + 1.25167i) q^{29} +(2.39856 + 2.06080i) q^{30} +(-6.48919 - 2.10846i) q^{31} +(5.44233 - 1.54307i) q^{32} +(-3.25592 + 1.65898i) q^{33} +(-0.164034 + 0.183243i) q^{34} +(11.1575 - 2.00061i) q^{35} +(-1.95867 - 0.404484i) q^{36} +(-0.376041 + 2.37423i) q^{37} +(-11.3432 + 0.627421i) q^{38} +(1.87994 + 1.36586i) q^{39} +(5.54950 - 3.03365i) q^{40} +(-1.04472 + 0.759030i) q^{41} +(-5.55841 + 4.52783i) q^{42} +(-1.11142 + 1.11142i) q^{43} +(0.806027 + 7.26383i) q^{44} +(-2.23561 + 0.0454810i) q^{45} +(-2.41947 - 4.16275i) q^{46} +(-2.44309 + 4.79484i) q^{47} +(-2.13955 + 3.37970i) q^{48} +18.6986i q^{49} +(5.29617 - 4.68514i) q^{50} -0.173904i q^{51} +(3.88297 - 2.55373i) q^{52} +(5.47602 - 10.7473i) q^{53} +(1.22269 - 0.710651i) q^{54} +(2.68254 + 7.71817i) q^{55} +(4.54912 + 13.5976i) q^{56} +(5.68027 - 5.68027i) q^{57} +(-3.61780 - 4.44125i) q^{58} +(8.45350 - 6.14182i) q^{59} +(-1.49302 + 4.21555i) q^{60} +(3.26236 + 2.37025i) q^{61} +(-0.532916 - 9.63464i) q^{62} +(0.793026 - 5.00697i) q^{63} +(4.81404 + 6.38945i) q^{64} +(3.59866 - 3.74812i) q^{65} +(-3.85044 - 3.44681i) q^{66} +(-6.44454 + 3.28366i) q^{67} +(-0.325423 - 0.122760i) q^{68} +(3.23795 + 1.05207i) q^{69} +(8.33581 + 13.6931i) q^{70} +(-2.21118 + 0.718455i) q^{71} +(-0.466720 - 2.78965i) 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} +(-0.841349 + 3.17673i) q^{78} +(-1.57257 - 4.83988i) q^{79} +(6.83455 + 5.76966i) q^{80} +(-0.309017 + 0.951057i) q^{81} +(-1.53448 - 0.990196i) q^{82} +(4.71681 + 9.25727i) q^{83} +(-8.80964 - 5.01843i) q^{84} +(-0.385231 - 0.0530066i) q^{85} +(-2.03328 - 0.898229i) q^{86} +(4.00064 + 0.633638i) q^{87} +(-9.16802 + 4.77213i) q^{88} +(-0.271710 + 0.373976i) q^{89} +(-1.20155 - 2.92511i) q^{90} +(6.92404 + 9.53013i) q^{91} +(4.25442 - 5.31644i) q^{92} +(4.82469 + 4.82469i) q^{93} +(-7.57099 - 0.773580i) q^{94} +(-10.8515 - 14.3143i) q^{95} +(-5.54969 - 1.09588i) q^{96} +(-7.98438 - 4.06824i) q^{97} +(-24.6599 + 9.54808i) 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 $

$2$	0.510631	+	1.31881i	0.361070	+	0.932539i
$2$	0.510631	+	1.31881i	0.361070	+	0.932539i
$3$	−0.891007	−	0.453990i	−0.514423	−	0.262112i
$3$	−0.891007	−	0.453990i	−0.514423	−	0.262112i
$4$	−1.47851	+	1.34685i	−0.739256	+	0.673424i
$5$	−1.27726	+	1.83538i	−0.571208	+	0.820805i
$5$	−1.27726	+	1.83538i	−0.571208	+	0.820805i
$6$	0.143751	−	1.40689i	0.0586863	−	0.574360i
$7$	−3.58459	−	3.58459i	−1.35485	−	1.35485i	−0.880147	−	0.474702i	$-0.842556\pi$
$7$	−3.58459	−	3.58459i	−1.35485	−	1.35485i	−0.474702	−	0.880147i	$-0.657444\pi$
$8$	−2.53121	−	1.26213i	−0.894918	−	0.446232i
$9$	0.587785	+	0.809017i	0.195928	+	0.269672i
$10$	−3.07272	−	0.747264i	−0.971679	−	0.236306i
$11$	2.14789	−	2.95632i	0.647613	−	0.891363i	−0.351380	−	0.936233i	$-0.614287\pi$
$11$	2.14789	−	2.95632i	0.647613	−	0.891363i	0.998993	+	0.0448703i	$0.0142875\pi$
$12$	1.92882	−	0.528820i	0.556803	−	0.152657i
$13$	−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	$0.654437\pi$
$14$	2.89699	−	6.55779i	0.774253	−	1.75264i
$15$	1.97129	−	1.05547i	0.508985	−	0.272521i
$16$	0.372000	−	3.98266i	0.0929999	−	0.995666i
$17$	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	$0.843287\pi$
$18$	−0.766797	+	1.18829i	−0.180736	+	0.280081i
$19$	−2.48237	+	7.63995i	−0.569495	+	1.75272i	0.0847083	+	0.996406i	$0.473004\pi$
$19$	−2.48237	+	7.63995i	−0.569495	+	1.75272i	−0.654203	+	0.756319i	$0.726996\pi$
$20$	−0.583526	−	4.43390i	−0.130480	−	0.991451i
$21$	1.56652	+	4.82127i	0.341844	+	1.05209i
$22$	4.99559	+	1.32307i	1.06506	+	0.282079i
$23$	−3.36266	+	0.532593i	−0.701164	+	0.111053i	−0.496830	−	0.867848i	$-0.665503\pi$
$23$	−3.36266	+	0.532593i	−0.701164	+	0.111053i	−0.204334	+	0.978901i	$0.565503\pi$
$24$	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
$28$	10.1278	+	0.471963i	1.91397	+	0.0891927i
$29$	−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	$0.522728\pi$
$30$	2.39856	+	2.06080i	0.437915	+	0.376249i
$31$	−6.48919	−	2.10846i	−1.16549	−	0.378691i	−0.338534	−	0.940954i	$-0.609931\pi$
$31$	−6.48919	−	2.10846i	−1.16549	−	0.378691i	−0.826959	+	0.562263i	$0.809931\pi$
$32$	5.44233	−	1.54307i	0.962077	−	0.272780i
$33$	−3.25592	+	1.65898i	−0.566783	+	0.288791i
$34$	−0.164034	+	0.183243i	−0.0281316	+	0.0314258i
$35$	11.1575	−	2.00061i	1.88597	−	0.338166i
$36$	−1.95867	−	0.404484i	−0.326445	−	0.0674141i
$37$	−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	$0.986687\pi$
$38$	−11.3432	+	0.627421i	−1.84011	+	0.101781i
$39$	1.87994	+	1.36586i	0.301031	+	0.218712i
$40$	5.54950	−	3.03365i	0.877454	−	0.479662i
$41$	−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	$0.332152\pi$
$42$	−5.55841	+	4.52783i	−0.857682	+	0.698660i
$43$	−1.11142	+	1.11142i	−0.169491	+	0.169491i	−0.786755	−	0.617265i	$-0.788241\pi$
$43$	−1.11142	+	1.11142i	−0.169491	+	0.169491i	0.617265	+	0.786755i	$0.288241\pi$
$44$	0.806027	+	7.26383i	0.121513	+	1.09506i
$45$	−2.23561	+	0.0454810i	−0.333264	+	0.00677991i
$46$	−2.41947	−	4.16275i	−0.356731	−	0.613764i
$47$	−2.44309	+	4.79484i	−0.356362	+	0.699399i	−0.997695	−	0.0678636i	$-0.978382\pi$
$47$	−2.44309	+	4.79484i	−0.356362	+	0.699399i	0.641333	+	0.767263i	$0.278382\pi$
$48$	−2.13955	+	3.37970i	−0.308817	+	0.487817i
$49$			18.6986i			2.67123i
$50$	5.29617	−	4.68514i	0.748992	−	0.662579i
$51$		−	0.173904i		−	0.0243514i
$52$	3.88297	−	2.55373i	0.538471	−	0.354138i
$53$	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	$-0.160759\pi$
$54$	1.22269	−	0.710651i	0.166387	−	0.0967074i
$55$	2.68254	+	7.71817i	0.361713	+	1.04072i
$56$	4.54912	+	13.5976i	0.607901	+	1.81705i
$57$	5.68027	−	5.68027i	0.752371	−	0.752371i
$58$	−3.61780	−	4.44125i	−0.475040	−	0.583164i
$59$	8.45350	−	6.14182i	1.10055	−	0.799597i	0.119402	−	0.992846i	$-0.461902\pi$
$59$	8.45350	−	6.14182i	1.10055	−	0.799597i	0.981150	+	0.193249i	$0.0619024\pi$
$60$	−1.49302	+	4.21555i	−0.192749	+	0.544225i
$61$	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	$0.616886\pi$
$62$	−0.532916	−	9.63464i	−0.0676804	−	1.22360i
$63$	0.793026	−	5.00697i	0.0999118	−	0.630818i
$64$	4.81404	+	6.38945i	0.601755	+	0.798681i
$65$	3.59866	−	3.74812i	0.446358	−	0.464897i
$66$	−3.85044	−	3.44681i	−0.473957	−	0.424274i
$67$	−6.44454	+	3.28366i	−0.787326	+	0.401163i	−0.800940	−	0.598745i	$-0.795666\pi$
$67$	−6.44454	+	3.28366i	−0.787326	+	0.401163i	0.0136140	+	0.999907i	$0.495666\pi$
$68$	−0.325423	−	0.122760i	−0.0394633	−	0.0148868i
$69$	3.23795	+	1.05207i	0.389803	+	0.126655i
$70$	8.33581	+	13.6931i	0.996319	+	1.63664i
$71$	−2.21118	+	0.718455i	−0.262419	+	0.0852650i	−0.437271	−	0.899330i	$-0.644055\pi$
$71$	−2.21118	+	0.718455i	−0.262419	+	0.0852650i	0.174853	+	0.984595i	$0.444055\pi$
$72$	−0.466720	−	2.78965i	−0.0550035	−	0.328764i
$73$	−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
$78$	−0.841349	+	3.17673i	−0.0952640	+	0.359694i
$79$	−1.57257	−	4.83988i	−0.176928	−	0.544529i	0.822788	−	0.568348i	$-0.192417\pi$
$79$	−1.57257	−	4.83988i	−0.176928	−	0.544529i	−0.999716	+	0.0238193i	$0.992417\pi$
$80$	6.83455	+	5.76966i	0.764125	+	0.645068i
$81$	−0.309017	+	0.951057i	−0.0343352	+	0.105673i
$82$	−1.53448	−	0.990196i	−0.169455	−	0.109349i
$83$	4.71681	+	9.25727i	0.517738	+	1.01612i	0.990831	+	0.135105i	$0.0431372\pi$
$83$	4.71681	+	9.25727i	0.517738	+	1.01612i	−0.473094	+	0.881012i	$0.656863\pi$
$84$	−8.80964	−	5.01843i	−0.961210	−	0.547556i
$85$	−0.385231	−	0.0530066i	−0.0417841	−	0.00574938i
$86$	−2.03328	−	0.898229i	−0.219255	−	0.0968585i
$87$	4.00064	+	0.633638i	0.428913	+	0.0679332i
$88$	−9.16802	+	4.77213i	−0.977314	+	0.508711i
$89$	−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	$0.207799\pi$
$90$	−1.20155	−	2.92511i	−0.126654	−	0.308334i
$91$	6.92404	+	9.53013i	0.725837	+	0.999029i
$92$	4.25442	−	5.31644i	0.443554	−	0.554277i
$93$	4.82469	+	4.82469i	0.500297	+	0.500297i
$94$	−7.57099	−	0.773580i	−0.780888	−	0.0797887i
$95$	−10.8515	−	14.3143i	−1.11335	−	1.46862i
$96$	−5.54969	−	1.09588i	−0.566413	−	0.111847i
$97$	−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	$0.800336\pi$
$98$	−24.6599	+	9.54808i	−2.49102	+	0.964501i
$99$	3.65421			0.367262
$100$	8.88319	+	4.59226i	0.888319	+	0.459226i
$101$	13.9581			1.38889			0.694443	−	0.719548i	$-0.255651\pi$
$101$	13.9581			1.38889			0.694443	+	0.719548i	$0.255651\pi$
$102$	0.229346	−	0.0888005i	0.0227086	−	0.00879256i
$103$	1.74857	+	0.890942i	0.172292	+	0.0877872i	0.538010	−	0.842939i	$-0.319176\pi$
$103$	1.74857	+	0.890942i	0.172292	+	0.0877872i	−0.365718	+	0.930726i	$0.619176\pi$
$104$	5.35064	+	3.81688i	0.524674	+	0.374276i
$105$	−10.8497	−	3.28285i	−1.05882	−	0.320374i
$106$	16.9698	+	1.73392i	1.64826	+	0.168414i
$107$	−1.69891	−	1.69891i	−0.164239	−	0.164239i	0.620202	−	0.784442i	$-0.287050\pi$
$107$	−1.69891	−	1.69891i	−0.164239	−	0.164239i	−0.784442	+	0.620202i	$0.787050\pi$
$108$	1.56156	+	1.24962i	0.150261	+	0.120244i
$109$	−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	$-0.402373\pi$
$110$	−8.80900	+	7.47888i	−0.839906	+	0.713084i
$111$	1.41293	−	1.94474i	0.134110	−	0.184586i
$112$	−15.6097	+	12.9428i	−1.47498	+	1.22298i
$113$	−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	$0.588514\pi$
$114$	10.3917	+	4.59067i	0.973273	+	0.429956i
$115$	3.31749	−	6.85201i	0.309357	−	0.638953i
$116$	4.00980	−	7.03902i	0.372300	−	0.653557i
$117$	−1.05495	−	2.07046i	−0.0975305	−	0.191414i
$118$	12.4165	+	8.01234i	1.14303	+	0.737596i
$119$	0.272424	−	0.838435i	0.0249731	−	0.0768593i
$120$	−6.32189	+	0.183577i	−0.577107	+	0.0167582i
$121$	−0.727187	−	2.23805i	−0.0661079	−	0.203459i
$122$	−1.46004	+	5.51276i	−0.132186	+	0.499101i
$123$	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	$-0.965496\pi$
$127$	−0.925072	−	5.84068i	−0.0820869	−	0.518276i	0.912044	−	0.410092i	$-0.134504\pi$
$128$	−5.96826	+	9.61144i	−0.527525	+	0.849540i
$129$	1.49486	−	0.485710i	0.131615	−	0.0427644i
$130$	6.78063	+	2.83203i	0.594701	+	0.248386i
$131$	−7.60143	−	2.46985i	−0.664140	−	0.215792i	−0.0425014	−	0.999096i	$-0.513533\pi$
$131$	−7.60143	−	2.46985i	−0.664140	−	0.215792i	−0.621639	+	0.783304i	$0.713533\pi$
$132$	2.57953	−	6.83805i	0.224520	−	0.595176i
$133$	36.2844	−	18.4878i	3.14626	−	1.60310i
$134$	−7.62130	−	6.82238i	−0.658380	−	0.589364i
$135$	2.01259	+	0.974420i	0.173216	+	0.0838647i
$136$	−0.00427381	−	0.491855i	−0.000366476	−	0.0421762i
$137$	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	$-0.0694728\pi$
$138$	0.265912	+	4.80745i	0.0226360	+	0.409238i
$139$	−6.00917	−	4.36592i	−0.509691	−	0.370312i	0.303015	−	0.952986i	$-0.402007\pi$
$139$	−6.00917	−	4.36592i	−0.509691	−	0.370312i	−0.812706	+	0.582674i	$0.802007\pi$
$140$	−13.8020	+	17.9854i	−1.16648	+	1.52005i
$141$	4.35362	−	3.16309i	0.366641	−	0.266380i
$142$	−2.07660	−	2.54926i	−0.174264	−	0.213929i
$143$	−6.00433	+	6.00433i	−0.502107	+	0.502107i
$144$	3.44070	−	2.04000i	0.286725	−	0.170000i
$145$	2.62305	−	8.66906i	0.217832	−	0.719926i
$146$	3.82786	−	2.22482i	0.316796	−	0.184128i
$147$	8.48899	−	16.6606i	0.700160	−	1.37414i
$148$	−2.64175	−	4.01680i	−0.217150	−	0.330179i
$149$		−	2.32631i		−	0.190579i	−0.995450	−	0.0952895i	$-0.969622\pi$
$149$		−	2.32631i		−	0.190579i	0.995450	−	0.0952895i	$-0.0303777\pi$
$150$	−6.84593	+	1.77008i	−0.558968	+	0.144526i
$151$			0.484681i			0.0394428i	0.999806	+	0.0197214i	$0.00627792\pi$
$151$			0.484681i			0.0394428i	−0.999806	+	0.0197214i	$0.993722\pi$
$152$	15.9260	−	16.2052i	1.29177	−	1.31442i
$153$	−0.0789506	+	0.154949i	−0.00638278	+	0.0125269i
$154$	−13.1645	−	22.6498i	−1.06083	−	1.82517i
$155$	12.1582	−	9.21704i	0.976571	−	0.740330i
$156$	−4.61912	+	0.512558i	−0.369825	+	0.0410375i
$157$	−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	$0.264918\pi$
$158$	5.57987	−	4.54531i	0.443911	−	0.361606i
$159$	−9.75833	+	7.08984i	−0.773886	+	0.562261i
$160$	−4.11915	+	11.9596i	−0.325647	+	0.945491i
$161$	13.9629	+	10.1446i	1.10043	+	0.799510i
$162$	−1.41206	+	0.0781043i	−0.110942	+	0.00613645i
$163$	−0.817862	+	5.16378i	−0.0640599	+	0.404458i	0.934734	+	0.355349i	$0.115638\pi$
$163$	−0.817862	+	5.16378i	−0.0640599	+	0.404458i	−0.998793	+	0.0491088i	$0.984362\pi$
$164$	0.522327	−	2.52931i	0.0407869	−	0.197506i
$165$	1.11382	−	8.09478i	0.0867107	−	0.630178i
$166$	−9.80002	+	10.9476i	−0.760629	+	0.849700i
$167$	−4.98818	+	2.54161i	−0.385997	+	0.196675i	−0.636211	−	0.771515i	$-0.719499\pi$
$167$	−4.98818	+	2.54161i	−0.385997	+	0.196675i	0.250214	+	0.968191i	$0.419499\pi$
$168$	2.11988	−	14.1808i	0.163552	−	1.09407i
$169$	−7.22828	−	2.34861i	−0.556021	−	0.180662i
$170$	−0.126805	−	0.535112i	−0.00972550	−	0.0410412i
$171$	−7.63995	+	2.48237i	−0.584242	+	0.189832i
$172$	0.146335	−	3.14018i	0.0111579	−	0.239436i
$173$	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
$178$	−0.631946	−	0.167369i	−0.0473664	−	0.0125449i
$179$	4.77193	+	14.6865i	0.356671	+	1.09772i	0.955035	+	0.296495i	$0.0958177\pi$
$179$	4.77193	+	14.6865i	0.356671	+	1.09772i	−0.598364	+	0.801224i	$0.704182\pi$
$180$	3.24411	−	3.07827i	0.241802	−	0.229440i
$181$	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	$-0.0610877\pi$
$182$	−9.03279	+	13.9979i	−0.669555	+	1.03759i
$183$	−1.83072	−	3.59299i	−0.135331	−	0.265601i
$184$	9.18381	+	2.89602i	0.677039	+	0.213498i
$185$	−3.87730	−	3.72269i	−0.285065	−	0.273698i
$186$	−3.89921	+	8.82647i	−0.285904	+	0.647188i
$187$	0.627656	+	0.0994109i	0.0458987	+	0.00726965i
$188$	−2.84578	−	10.3797i	−0.207550	−	0.757018i
$189$	−2.97971	+	4.10121i	−0.216742	+	0.298319i
$190$	13.3367	−	21.6204i	0.967545	−	1.56851i
$191$	3.56464	+	4.90630i	0.257928	+	0.355007i	0.918268	−	0.395959i	$-0.129588\pi$
$191$	3.56464	+	4.90630i	0.257928	+	0.355007i	−0.660340	+	0.750967i	$0.729588\pi$
$192$	−1.38859	−	7.87857i	−0.100213	−	0.568587i
$193$	−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	$-0.539805\pi$
$194$	1.28817	−	12.6072i	0.0924850	−	0.905147i
$195$	−4.90804	+	1.70584i	−0.351472	+	0.122158i
$196$	−25.1842	−	27.6461i	−1.79887	−	1.97472i
$197$	−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	$0.719256\pi$
$198$	1.86595	+	4.81920i	0.132607	+	0.342486i
$199$	−8.50614			−0.602984			−0.301492	−	0.953469i	$-0.597485\pi$
$199$	−8.50614			−0.602984			−0.301492	+	0.953469i	$0.597485\pi$
$200$	−1.52028	+	14.0602i	−0.107500	+	0.994205i
$201$	7.23288			0.510168
$202$	7.12745	+	18.4081i	0.501486	+	1.29519i
$203$	18.2955	+	9.32203i	1.28409	+	0.654278i
$204$	0.234222	+	0.257119i	0.0163988	+	0.0180019i
$205$	−0.0587314	−	2.88692i	−0.00410198	−	0.201632i
$206$	−0.282108	+	2.76098i	−0.0196554	+	0.192366i
$207$	−2.40740	−	2.40740i	−0.167326	−	0.167326i
$208$	−2.30153	+	9.00549i	−0.159583	+	0.624418i
$209$	17.2542	+	23.7484i	1.19350	+	1.64271i
$210$	−1.21073	−	15.9850i	−0.0835483	−	1.10307i
$211$	14.0641	−	19.3576i	0.968216	−	1.33263i	0.0252730	−	0.999681i	$-0.491954\pi$
$211$	14.0641	−	19.3576i	0.968216	−	1.33263i	0.942943	−	0.332954i	$-0.108046\pi$
$212$	6.37860	+	23.2654i	0.438084	+	1.59787i
$213$	2.29635	+	0.363706i	0.157343	+	0.0249207i
$214$	1.37302	−	3.10804i	0.0938576	−	0.212462i
$215$	−0.620303	−	3.45946i	−0.0423043	−	0.235933i
$216$	−0.850626	+	2.69749i	−0.0578778	+	0.183541i
$217$	15.7031	+	30.8191i	1.06600	+	2.09214i
$218$	9.50746	−	14.7335i	0.643927	−	0.997875i
$219$	−0.967434	+	2.97746i	−0.0653731	+	0.201198i
$220$	−14.3614	−	7.79844i	−0.968243	−	0.525771i
$221$	−0.124876	−	0.384327i	−0.00840004	−	0.0258527i
$222$	3.28622	+	0.870347i	0.220557	+	0.0584139i
$223$	−12.2020	+	1.93261i	−0.817106	+	0.129417i	−0.550977	−	0.834520i	$-0.685745\pi$
$223$	−12.2020	+	1.93261i	−0.817106	+	0.129417i	−0.266129	+	0.963937i	$0.585745\pi$
$224$	−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	$0.0647468\pi$
$227$	1.66272	+	10.4980i	0.110358	+	0.696776i	−0.869025	+	0.494768i	$0.835253\pi$
$228$	−0.747890	+	16.0488i	−0.0495302	+	1.06286i
$229$	−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	$0.791859\pi$
$230$	10.7305	+	0.876286i	0.707548	+	0.0577806i
$231$	17.6179	+	5.72440i	1.15917	+	0.376638i
$232$	11.3307	+	1.69381i	0.743894	+	0.111204i
$233$	−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	$0.503362\pi$
$234$	2.19185	−	2.44852i	0.143286	−	0.160065i
$235$	−5.67986	−	10.6083i	−0.370513	−	0.692006i
$236$	−4.22650	+	20.4663i	−0.275121	+	1.33225i
$237$	−0.796087	+	5.02630i	−0.0517114	+	0.326493i
$238$	1.24484	−	0.0688554i	0.0806913	−	0.00446324i
$239$	−11.1088	−	8.07104i	−0.718571	−	0.522072i	0.167356	−	0.985896i	$-0.446477\pi$
$239$	−11.1088	−	8.07104i	−0.718571	−	0.522072i	−0.885927	+	0.463824i	$0.846477\pi$
$240$	−3.47025	−	8.24362i	−0.224004	−	0.532124i
$241$	−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	$0.449770\pi$
$242$	2.58024	−	2.10184i	0.165864	−	0.135111i
$243$	0.707107	−	0.707107i	0.0453609	−	0.0453609i
$244$	−8.01581	+	0.889470i	−0.513160	+	0.0569425i
$245$	−34.3190	−	23.8830i	−2.19256	−	1.52583i
$246$	0.917692	+	1.57891i	0.0585099	+	0.100668i
$247$	8.47457	−	16.6323i	0.539224	−	1.05829i
$248$	13.7643	+	13.5272i	0.874036	+	0.858977i
$249$		−	10.3897i		−	0.658419i
$250$	1.83440	+	15.7046i	0.116018	+	0.993247i
$251$		−	23.3921i		−	1.47650i	−0.674529	−	0.738248i	$-0.735653\pi$
$251$		−	23.3921i		−	1.47650i	0.674529	−	0.738248i	$-0.264347\pi$
$252$	5.57113	+	8.47095i	0.350948	+	0.533620i
$253$	−5.64811	+	11.0850i	−0.355094	+	0.696911i
$254$	7.23037	−	4.20242i	0.453673	−	0.263683i
$255$	0.319178	+	0.222120i	0.0199877	+	0.0139097i
$256$	−15.7232	−	2.96310i	−0.982702	−	0.185194i
$257$	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	$0.227144\pi$
$258$	1.40388	+	1.72342i	0.0874019	+	0.107295i
$259$	9.85860	−	7.16270i	0.612584	−	0.445068i
$260$	−0.272512	+	10.3885i	−0.0169005	+	0.644266i
$261$	−3.27693	−	2.38083i	−0.202837	−	0.147369i
$262$	−0.624258	−	11.2860i	−0.0385668	−	0.697252i
$263$	−0.459613	+	2.90188i	−0.0283409	+	0.178938i	−0.997798	−	0.0663225i	$-0.978873\pi$
$263$	−0.459613	+	2.90188i	−0.0283409	+	0.178938i	0.969457	+	0.245260i	$0.0788734\pi$
$264$	10.3353	−	0.0898048i	0.636092	−	0.00552710i
$265$	12.7310	+	23.7776i	0.782060	+	1.46065i
$266$	42.9098	+	38.4117i	2.63097	+	2.35517i
$267$	0.411877	−	0.209862i	0.0252064	−	0.0128433i
$268$	5.10575	−	13.5347i	0.311883	−	0.826766i
$269$	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	$0.536046\pi$
$270$	−0.257385	+	3.15179i	−0.0156639	+	0.191812i
$271$	−8.56017	+	2.78137i	−0.519993	+	0.168956i	−0.557242	−	0.830350i	$-0.688141\pi$
$271$	−8.56017	+	2.78137i	−0.519993	+	0.168956i	0.0372489	+	0.999306i	$0.488141\pi$
$272$	0.646480	−	0.256793i	0.0391986	−	0.0155703i
$273$	−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	$0.702577\pi$
$278$	2.68934	−	10.1543i	0.161296	−	0.609015i
$279$	−2.10846	−	6.48919i	−0.126230	−	0.388498i
$280$	−30.7671	−	9.01832i	−1.83869	−	0.538948i
$281$	−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	$0.986567\pi$
$282$	6.39461	+	4.12642i	0.380793	+	0.245725i
$283$	−2.51629	−	4.93851i	−0.149578	−	0.293564i	0.804044	−	0.594570i	$-0.202678\pi$
$283$	−2.51629	−	4.93851i	−0.149578	−	0.293564i	−0.953622	+	0.301006i	$0.902678\pi$
$284$	2.30160	−	4.04037i	0.136575	−	0.239752i
$285$	3.17024	+	17.6806i	0.187789	+	1.04731i
$286$	−10.9846	−	4.85257i	−0.649531	−	0.286938i
$287$	6.46569	+	1.02406i	0.381658	+	0.0604486i
$288$	4.44729	+	3.49594i	0.262059	+	0.206000i
$289$	9.97457	−	13.7288i	0.586740	−	0.807578i
$290$	12.7722	−	0.967390i	0.750011	−	0.0568071i
$291$	5.26719	+	7.24966i	0.308768	+	0.424983i
$292$	4.88874	+	3.91215i	0.286092	+	0.228941i
$293$	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	$0.574978\pi$
$294$	26.3068	+	2.68795i	1.53425	+	0.156764i
$295$	0.475236	+	23.3601i	0.0276693	+	1.36007i
$296$	3.94844	−	5.53506i	0.229498	−	0.321719i
$297$	−3.25592	−	1.65898i	−0.188928	−	0.0962635i
$298$	3.06796	−	1.18789i	0.177722	−	0.0688124i
$299$	7.91134			0.457524
$300$	−5.83014	−	8.12462i	−0.336603	−	0.469075i
$301$	7.96801			0.459268
$302$	−0.639201	+	0.247493i	−0.0367819	+	0.0142416i
$303$	−12.4368	−	6.33686i	−0.714475	−	0.364043i
$304$	29.5039	+	12.7285i	1.69217	+	0.730030i
$305$	−8.51718	+	2.96024i	−0.487693	+	0.169503i
$306$	−0.244663	−	0.0249989i	−0.0139865	−	0.00142909i
$307$	19.3582	+	19.3582i	1.10483	+	1.10483i	0.993819	+	0.111010i	$0.0354086\pi$
$307$	19.3582	+	19.3582i	1.10483	+	1.10483i	0.111010	+	0.993819i	$0.464591\pi$
$308$	23.1486	−	28.9271i	1.31901	−	1.64828i
$309$	−1.15351	−	1.58767i	−0.0656209	−	0.0903195i
$310$	18.3639	+	11.3279i	1.04300	+	0.643379i
$311$	−19.4921	+	26.8285i	−1.10529	+	1.52131i	−0.277118	+	0.960836i	$0.589379\pi$
$311$	−19.4921	+	26.8285i	−1.10529	+	1.52131i	−0.828175	+	0.560470i	$0.810621\pi$
$312$	−3.03463	−	5.83000i	−0.171802	−	0.330059i
$313$	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	$0.397594\pi$
$314$	−1.51872	−	0.670912i	−0.0857061	−	0.0378618i
$315$	8.17676	+	7.85070i	0.460708	+	0.442337i
$316$	8.84365	+	5.03781i	0.497494	+	0.283399i
$317$	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	$0.835469\pi$
$318$	−14.3330	−	9.24908i	−0.803758	−	0.518663i
$319$	−4.57388	+	14.0769i	−0.256088	+	0.788158i
$320$	−17.8758	+	0.674578i	−0.999289	+	0.0377101i
$321$	0.742449	+	2.28502i	0.0414394	+	0.127538i
$322$	−6.24896	+	23.5946i	−0.348241	+	1.31487i
$323$	−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
$328$	3.60239	−	0.602694i	0.198909	−	0.0332782i
$329$	25.9450	−	8.43005i	1.43040	−	0.464764i
$330$	11.2442	−	2.66453i	0.618974	−	0.146678i
$331$	28.9649	+	9.41126i	1.59205	+	0.517290i	0.965126	−	0.261787i	$-0.0843118\pi$
$331$	28.9649	+	9.41126i	1.59205	+	0.517290i	0.626928	+	0.779077i	$0.284312\pi$
$332$	−19.4420	−	7.33416i	−1.06702	−	0.402514i
$333$	−2.14182	+	1.09131i	−0.117371	+	0.0598037i
$334$	−5.89901	−	5.28064i	−0.322780	−	0.288944i
$335$	2.20461	−	16.0222i	0.120451	−	0.875389i
$336$	19.7842	−	4.44543i	1.07932	−	0.242518i
$337$	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	$0.0312135\pi$
$338$	−0.593613	−	10.7320i	−0.0322883	−	0.583743i
$339$	2.07602	+	1.50832i	0.112754	+	0.0819205i
$340$	0.640960	−	0.440476i	0.0347609	−	0.0238882i
$341$	−20.1713	+	14.6553i	−1.09234	+	0.793631i
$342$	−7.17496	−	8.80806i	−0.387978	−	0.476285i
$343$	41.9347	−	41.9347i	2.26426	−	2.26426i
$344$	4.21601	−	1.41048i	0.227312	−	0.0760481i
$345$	−6.06665	+	4.59908i	−0.326618	+	0.247606i
$346$	−13.6602	+	7.93955i	−0.734376	+	0.426833i
$347$	−9.21046	+	18.0766i	−0.494444	+	0.970400i	0.500089	+	0.865974i	$0.333301\pi$
$347$	−9.21046	+	18.0766i	−0.494444	+	0.970400i	−0.994533	+	0.104426i	$0.966699\pi$
$348$	−6.76840	+	4.45141i	−0.362825	+	0.238620i
$349$			14.1136i			0.755485i	0.925911	+	0.377742i	$0.123299\pi$
$349$			14.1136i			0.755485i	−0.925911	+	0.377742i	$0.876701\pi$
$350$	−35.7789	−	2.19030i	−1.91246	−	0.117076i
$351$			2.32373i			0.124032i
$352$	7.12770	−	19.4036i	0.379908	−	1.03421i
$353$	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	$0.100338\pi$
$354$	−7.42566	−	12.7760i	−0.394669	−	0.679038i
$355$	1.50562	−	4.97600i	0.0799098	−	0.264099i
$356$	−0.101963	−	0.918880i	−0.00540403	−	0.0487006i
$357$	−0.623373	+	0.623373i	−0.0329924	+	0.0329924i
$358$	−16.9320	+	13.7926i	−0.894882	+	0.728963i
$359$	11.6169	−	8.44018i	0.613117	−	0.445456i	−0.237393	−	0.971414i	$-0.576293\pi$
$359$	11.6169	−	8.44018i	0.613117	−	0.445456i	0.850511	+	0.525958i	$0.176293\pi$
$360$	5.71619	+	2.70651i	0.301270	+	0.142646i
$361$	−36.8354	−	26.7624i	−1.93870	−	1.40855i
$362$	18.4177	−	1.01873i	0.968011	−	0.0535431i
$363$	−0.368126	+	2.32425i	−0.0193216	+	0.121992i
$364$	−23.0729	−	4.76478i	−1.20935	−	0.249742i
$365$	6.30077	+	3.05060i	0.329797	+	0.159676i
$366$	3.80364	−	4.24906i	0.198820	−	0.222102i
$367$	11.4013	−	5.80923i	0.595141	−	0.303239i	−0.130354	−	0.991468i	$-0.541611\pi$
$367$	11.4013	−	5.80923i	0.595141	−	0.303239i	0.725494	+	0.688228i	$0.241611\pi$
$368$	0.870232	+	13.5905i	0.0453640	+	0.708453i
$369$	−1.22814	−	0.399046i	−0.0639342	−	0.0207735i
$370$	2.92965	−	7.01434i	0.152305	−	0.364658i
$371$	−58.1539	+	18.8954i	−3.01920	+	0.980998i
$372$	−13.6315	−	0.635240i	−0.706759	−	0.0329356i
$373$	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
$378$	−6.93024	−	1.83546i	−0.356453	−	0.0944057i
$379$	−6.06211	−	18.6573i	−0.311390	−	0.958359i	−0.977215	−	0.212251i	$-0.931920\pi$
$379$	−6.06211	−	18.6573i	−0.311390	−	0.958359i	0.665825	−	0.746108i	$-0.268080\pi$
$380$	35.3233	+	6.54848i	1.81205	+	0.335930i
$381$	−1.82737	+	5.62406i	−0.0936188	+	0.288129i
$382$	−4.65026	+	7.20638i	−0.237928	+	0.368710i
$383$	−6.04626	−	11.8664i	−0.308949	−	0.606347i	0.683367	−	0.730075i	$-0.260515\pi$
$383$	−6.04626	−	11.8664i	−0.308949	−	0.606347i	−0.992316	+	0.123728i	$0.960515\pi$
$384$	9.68127	−	5.85432i	0.494045	−	0.298752i
$385$	18.0507	−	37.2823i	0.919949	−	1.90008i
$386$	12.5403	−	28.3869i	0.638283	−	1.44485i
$387$	−1.55244	−	0.245882i	−0.0789150	−	0.0124989i
$388$	17.2843	−	4.73879i	0.877478	−	0.240576i
$389$	−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	$0.981873\pi$
$390$	−4.75587	−	5.60170i	−0.240823	−	0.283653i
$391$	−0.348009	−	0.478994i	−0.0175996	−	0.0242237i
$392$	23.6001	−	47.3301i	1.19199	−	2.39053i
$393$	5.65163	+	5.65163i	0.285087	+	0.285087i
$394$	0.871071	−	8.52514i	0.0438839	−	0.429490i
$395$	10.8916	+	3.29553i	0.548015	+	0.165816i
$396$	−5.40279	+	4.92166i	−0.271500	+	0.247323i
$397$	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	$0.561031\pi$
$398$	−4.34349	−	11.2180i	−0.217720	−	0.562306i
$399$	−40.7229			−2.03870
$400$	−19.3190	+	5.17460i	−0.965950	+	0.258730i
$401$	17.4413			0.870979			0.435490	−	0.900194i	$-0.356575\pi$
$401$	17.4413			0.870979			0.435490	+	0.900194i	$0.356575\pi$
$402$	3.69333	+	9.53878i	0.184206	+	0.475751i
$403$	14.1270	+	7.19809i	0.703718	+	0.358562i
$404$	−20.6373	+	18.7995i	−1.02674	+	0.935309i
$405$	−1.35085	−	1.78191i	−0.0671243	−	0.0885438i
$406$	−2.95172	+	28.8884i	−0.146492	+	1.43371i
$407$	6.21128	+	6.21128i	0.307882	+	0.307882i
$408$	−0.219490	+	0.440186i	−0.0108664	+	0.0217925i
$409$	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	$0.797715\pi$
$410$	3.77731	−	1.55161i	0.186548	−	0.0766284i
$411$	−5.04409	+	6.94259i	−0.248806	+	0.342453i
$412$	−3.78525	+	1.03779i	−0.186486	+	0.0511284i
$413$	−52.3183	−	8.28640i	−2.57441	−	0.407747i
$414$	1.94561	−	4.40419i	0.0956214	−	0.216454i
$415$	−23.0152	−	3.16682i	−1.12977	−	0.155453i
$416$	−13.0517	+	1.56320i	−0.639915	+	0.0766420i
$417$	3.37212	+	6.61816i	0.165134	+	0.324093i
$418$	−22.5091	+	34.8817i	−1.10096	+	1.70612i
$419$	7.74771	−	23.8450i	0.378500	−	1.16490i	−0.562586	−	0.826739i	$-0.690194\pi$
$419$	7.74771	−	23.8450i	0.378500	−	1.16490i	0.941087	−	0.338166i	$-0.109806\pi$
$420$	20.4629	−	9.75915i	0.998488	−	0.476198i
$421$	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	$0.670462\pi$
$422$	32.7106	+	8.66332i	1.59233	+	0.421724i
$423$	−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
$428$	4.80002	+	0.223685i	0.232018	+	0.0108122i
$429$	8.07581	−	2.62399i	0.389904	−	0.126687i
$430$	4.24562	−	2.58457i	0.204742	−	0.124639i
$431$	16.1967	+	5.26263i	0.780168	+	0.253492i	0.671912	−	0.740631i	$-0.265473\pi$
$431$	16.1967	+	5.26263i	0.780168	+	0.253492i	0.108256	+	0.994123i	$0.465473\pi$
$432$	−3.99182	+	0.255606i	−0.192057	+	0.0122979i
$433$	−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	$0.377107\pi$
$434$	−32.6260	+	36.4466i	−1.56610	+	1.74949i
$435$	−6.27282	+	6.53335i	−0.300759	+	0.313250i
$436$	24.2854	+	5.01517i	1.16306	+	0.240183i
$437$	4.27839	−	27.0127i	0.204663	−	1.29219i
$438$	−4.42070	+	0.244520i	−0.211229	+	0.0116836i
$439$	−22.6963	−	16.4898i	−1.08324	−	0.787016i	−0.104991	−	0.994473i	$-0.533481\pi$
$439$	−22.6963	−	16.4898i	−1.08324	−	0.787016i	−0.978244	+	0.207457i	$0.933481\pi$
$440$	2.95130	−	22.9220i	0.140698	−	1.09276i
$441$	−15.1275	+	10.9908i	−0.720356	+	0.523370i
$442$	0.443089	−	0.360936i	0.0210756	−	0.0171680i
$443$	14.4728	−	14.4728i	0.687624	−	0.687624i	−0.274082	−	0.961706i	$-0.588374\pi$
$443$	14.4728	−	14.4728i	0.687624	−	0.687624i	0.961706	+	0.274082i	$0.0883740\pi$
$444$	0.530224	+	4.77832i	0.0251633	+	0.226769i
$445$	−0.339343	−	0.976355i	−0.0160864	−	0.0462836i
$446$	−8.77945	−	15.1052i	−0.415719	−	0.715254i
$447$	−1.05612	+	2.07276i	−0.0499530	+	0.0980382i
$448$	5.64720	−	40.1599i	0.266805	−	1.89738i
$449$		−	31.4725i		−	1.48528i	−0.669692	−	0.742639i	$-0.733574\pi$
$449$		−	31.4725i		−	1.48528i	0.669692	−	0.742639i	$-0.266426\pi$
$450$	6.90337	+	1.53084i	0.325428	+	0.0721643i
$451$			4.71882i			0.222201i
$452$	4.28796	−	2.82008i	0.201689	−	0.132646i
$453$	0.220040	−	0.431854i	0.0103384	−	0.0202903i
$454$	−12.9958	+	7.55340i	−0.609923	+	0.354499i
$455$	−26.3352	+	0.535761i	−1.23461	+	0.0251169i
$456$	−21.5472	+	7.20870i	−1.00904	+	0.337578i
$457$	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	$0.126317\pi$
$458$	−25.4872	−	31.2884i	−1.19094	−	1.46201i
$459$	0.140691	−	0.102218i	0.00656689	−	0.00477113i
$460$	4.32367	+	14.5989i	0.201592	+	0.680679i
$461$	−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	$0.984051\pi$
$462$	1.44685	+	26.1577i	0.0673134	+	1.21697i
$463$	−0.528273	+	3.33538i	−0.0245509	+	0.155008i	−0.996918	−	0.0784479i	$-0.975004\pi$
$463$	−0.528273	+	3.33538i	−0.0245509	+	0.155008i	0.972367	+	0.233456i	$0.0750036\pi$
$464$	3.55196	+	15.8079i	0.164896	+	0.733862i
$465$	−15.0175	+	2.69273i	−0.696420	+	0.124872i
$466$	−14.9059	−	13.3434i	−0.690504	−	0.618120i
$467$	−21.4459	+	10.9272i	−0.992398	+	0.505652i	−0.873275	−	0.487228i	$-0.838008\pi$
$467$	−21.4459	+	10.9272i	−0.992398	+	0.505652i	−0.119123	+	0.992880i	$0.538008\pi$
$468$	4.34836	+	1.64034i	0.201003	+	0.0758249i
$469$	34.8716	+	11.3305i	1.61022	+	0.523193i
$470$	11.0899	−	12.9076i	0.511541	−	0.595381i
$471$	1.11655	−	0.362791i	0.0514481	−	0.0167165i
$472$	−29.1494	+	4.87680i	−1.34171	+	0.224473i
$473$	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
$478$	4.97165	−	18.7718i	0.227398	−	0.858600i
$479$	−0.487335	−	1.49986i	−0.0222669	−	0.0685305i	0.939306	−	0.343082i	$-0.111471\pi$
$479$	−0.487335	−	1.49986i	−0.0222669	−	0.0685305i	−0.961572	+	0.274551i	$0.911471\pi$
$480$	9.09975	−	8.78605i	0.415345	−	0.401026i
$481$	1.72612	−	5.31246i	0.0787045	−	0.242227i
$482$	−16.7259	−	10.7932i	−0.761845	−	0.491617i
$483$	−7.83547	−	15.3780i	−0.356526	−	0.699722i
$484$	4.08947	+	2.32958i	0.185885	+	0.105890i
$485$	17.6649	−	9.45812i	0.802121	−	0.429471i
$486$	1.29361	+	0.571468i	0.0586793	+	0.0259223i
$487$	10.1551	+	1.60842i	0.460173	+	0.0728843i	0.382217	−	0.924073i	$-0.375161\pi$
$487$	10.1551	+	1.60842i	0.460173	+	0.0728843i	0.0779561	+	0.996957i	$0.475161\pi$
$488$	−5.26616	−	10.1171i	−0.238388	−	0.457981i
$489$	3.07303	−	4.22966i	0.138967	−	0.191272i
$490$	13.9728	−	57.4555i	0.631226	−	2.59558i
$491$	−17.6012	−	24.2260i	−0.794333	−	1.09331i	−0.993555	−	0.113351i	$-0.963842\pi$
$491$	−17.6012	−	24.2260i	−0.794333	−	1.09331i	0.199222	−	0.979954i	$-0.436158\pi$
$492$	−1.61368	+	2.01650i	−0.0727502	+	0.0909108i
$493$	−0.498084	−	0.498084i	−0.0224326	−	0.0224326i
$494$	26.2622	+	2.68338i	1.18159	+	0.120731i
$495$	−4.66738	+	6.70684i	−0.209783	+	0.301450i
$496$	−10.8113	+	25.0599i	−0.485441	+	1.12522i
$497$	10.5015	+	5.35080i	0.471059	+	0.240016i
$498$	13.7020	−	5.30529i	0.614001	−	0.237736i
$499$	11.8477			0.530374			0.265187	−	0.964197i	$-0.414566\pi$
$499$	11.8477			0.530374			0.265187	+	0.964197i	$0.414566\pi$
$500$	−19.7747	+	10.4385i	−0.884351	+	0.466823i
$501$	5.59837			0.250117
$502$	30.8497	−	11.9447i	1.37689	−	0.533119i
$503$	30.3925	+	15.4858i	1.35514	+	0.690477i	0.972387	−	0.233375i	$-0.0749771\pi$
$503$	30.3925	+	15.4858i	1.35514	+	0.690477i	0.382750	+	0.923852i	$0.374977\pi$
$504$	−8.32677	+	11.6728i	−0.370904	+	0.519947i
$505$	−17.8282	+	25.6184i	−0.793343	+	1.14000i
$506$	−17.5032	−	1.78842i	−0.778110	−	0.0795048i
$507$	5.37419	+	5.37419i	0.238676	+	0.238676i
$508$	9.23424	+	7.38958i	0.409703	+	0.327860i
$509$	−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	$-0.401844\pi$
$510$	−0.129952	+	0.534357i	−0.00575437	+	0.0236617i
$511$	−9.32851	+	12.8396i	−0.412669	+	0.567990i
$512$	−4.12100	−	22.2490i	−0.182124	−	0.983276i
$513$	7.93422	+	1.25666i	0.350304	+	0.0554827i
$514$	2.97565	+	1.31453i	0.131250	+	0.0579815i
$515$	−3.86860	+	2.07132i	−0.170471	+	0.0912734i
$516$	−1.55600	+	2.73148i	−0.0684989	+	0.120247i
$517$	8.92756	+	17.5213i	0.392634	+	0.770587i
$518$	14.4803	+	9.34412i	0.636229	+	0.410557i
$519$	3.45241	−	10.6254i	0.151544	−	0.466404i
$520$	−13.8396	+	4.94529i	−0.606905	+	0.216865i
$521$	−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	$-0.292288\pi$
$522$	1.46656	−	5.53736i	0.0641894	−	0.242364i
$523$	−39.6455	+	6.27924i	−1.73358	+	0.274572i	−0.941785	−	0.336217i	$-0.890852\pi$
$523$	−39.6455	+	6.27924i	−1.73358	+	0.274572i	−0.791793	+	0.610789i	$0.790852\pi$
$524$	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
$528$	5.39594	+	13.5844i	0.234828	+	0.591184i
$529$	−10.8505	+	3.52553i	−0.471759	+	0.153284i
$530$	−24.8573	+	28.9314i	−1.07973	+	1.25670i
$531$	9.93768	+	3.22895i	0.431259	+	0.140124i
$532$	−28.7466	+	76.2040i	−1.24632	+	3.30386i
$533$	2.67367	−	1.36230i	0.115809	−	0.0590079i
$534$	0.487084	+	0.436025i	0.0210782	+	0.0188686i
$535$	5.28807	−	0.948184i	0.228623	−	0.0409936i
$536$	20.4569	−	0.177753i	0.883603	−	0.00767777i
$537$	2.41570	−	15.2522i	0.104245	−	0.658179i
$538$	0.511297	+	9.24379i	0.0220436	+	0.398528i
$539$	55.2790	+	40.1625i	2.38103	+	1.72992i
$540$	−4.28803	+	1.26996i	−0.184527	+	0.0546503i
$541$	−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	$0.420144\pi$
$542$	−8.03918	−	9.86898i	−0.345312	−	0.423909i
$543$	−9.22291	+	9.22291i	−0.395793	+	0.395793i
$544$	0.668773	+	0.721458i	0.0286734	+	0.0309323i
$545$	27.7191	−	0.563916i	1.18736	−	0.0241555i
$546$	14.4032	−	8.37139i	0.616399	−	0.358262i
$547$	−12.6963	+	24.9180i	−0.542857	+	1.06542i	0.442795	+	0.896623i	$0.353987\pi$
$547$	−12.6963	+	24.9180i	−0.542857	+	1.06542i	−0.985652	+	0.168793i	$0.946013\pi$
$548$	9.43087	+	14.3397i	0.402867	+	0.612563i
$549$			4.03250i			0.172103i
$550$	−2.47517	−	25.7203i	−0.105541	−	1.09672i
$551$		−	32.5382i		−	1.38617i
$552$	−6.86806	−	6.74974i	−0.292324	−	0.287288i
$553$	−11.7120	+	22.9860i	−0.498043	+	0.977465i
$554$	−16.8616	−	29.0108i	−0.716382	−	1.23255i
$555$	1.76464	+	5.07720i	0.0749047	+	0.215515i
$556$	14.7649	−	1.63837i	0.626169	−	0.0694826i
$557$	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	$0.0299250\pi$
$558$	7.48135	−	6.09424i	0.316711	−	0.257990i
$559$	2.95487	−	2.14684i	0.124978	−	0.0908018i
$560$	−3.81718	−	45.1809i	−0.161305	−	1.90924i
$561$	−0.514114	−	0.373526i	−0.0217059	−	0.0157703i
$562$	−16.5156	+	0.913516i	−0.696666	+	0.0385344i
$563$	−3.04270	+	19.2108i	−0.128234	+	0.809640i	0.836798	+	0.547511i	$0.184425\pi$
$563$	−3.04270	+	19.2108i	−0.128234	+	0.809640i	−0.965033	+	0.262129i	$0.915575\pi$
$564$	−2.17668	+	10.5403i	−0.0916548	+	0.443828i
$565$	3.97400	−	4.13905i	0.167187	−	0.174131i
$566$	5.22805	−	5.84026i	0.219751	−	0.245485i
$567$	4.51685	−	2.30145i	0.189690	−	0.0966518i
$568$	6.50374	+	0.972241i	0.272891	+	0.0407943i
$569$	−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	$0.830584\pi$
$570$	−21.6985	+	13.2092i	−0.908852	+	0.553273i
$571$	24.6115	−	7.99676i	1.02996	−	0.334654i	0.255185	−	0.966892i	$-0.417864\pi$
$571$	24.6115	−	7.99676i	1.02996	−	0.334654i	0.774774	+	0.632238i	$0.217864\pi$
$572$	0.790557	−	16.9644i	0.0330548	−	0.709317i
$573$	−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	$0.475154\pi$
$578$	23.1990	+	6.14420i	0.964952	+	0.255565i
$579$	6.78105	+	20.8699i	0.281811	+	0.867325i
$580$	7.79770	+	16.3502i	0.323782	+	0.678903i
$581$	16.2757	−	50.0914i	0.675229	−	2.07814i
$582$	−6.87133	+	10.6483i	−0.284826	+	0.441387i
$583$	−20.0105	−	39.2728i	−0.828750	−	1.62651i
$584$	−2.66304	+	8.44498i	−0.110197	+	0.349456i
$585$	5.14753	+	0.708285i	0.212824	+	0.0292840i
$586$	−10.2233	+	23.1420i	−0.422319	+	0.955986i
$587$	−8.90911	−	1.41106i	−0.367718	−	0.0582409i	−0.0301590	−	0.999545i	$-0.509601\pi$
$587$	−8.90911	−	1.41106i	−0.367718	−	0.0582409i	−0.337559	+	0.941304i	$0.609601\pi$
$588$	9.88819	+	36.0662i	0.407782	+	1.48735i
$589$	32.2171	−	44.3431i	1.32748	−	1.82712i
$590$	−30.5648	+	12.5551i	−1.25833	+	0.516885i
$591$	3.56172	+	4.90229i	0.146510	+	0.201653i
$592$	9.31588	+	2.38086i	0.382880	+	0.0978527i
$593$	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	$0.350943\pi$
$594$	0.525297	−	5.14106i	0.0215532	−	0.210940i
$595$	1.19089	+	1.57090i	0.0488216	+	0.0644007i
$596$	3.13319	+	3.43948i	0.128341	+	0.140887i
$597$	7.57902	+	3.86170i	0.310189	+	0.158049i
$598$	4.03977	+	10.4335i	0.165199	+	0.426659i
$599$	29.9007			1.22171			0.610854	−	0.791743i	$-0.290826\pi$
$599$	29.9007			1.22171			0.610854	+	0.791743i	$0.290826\pi$
$600$	7.73777	−	11.8375i	0.315893	−	0.483265i
$601$	21.0255			0.857649			0.428825	−	0.903388i	$-0.358928\pi$
$601$	21.0255			0.857649			0.428825	+	0.903388i	$0.358928\pi$
$602$	4.06871	+	10.5083i	0.165828	+	0.428285i
$603$	−6.44454	−	3.28366i	−0.262442	−	0.133721i
$604$	−0.652791	−	0.716607i	−0.0265617	−	0.0291583i
$605$	5.03647	+	1.52391i	0.204762	+	0.0619559i
$606$	2.00650	−	19.6375i	0.0815085	−	0.797720i
$607$	−8.79927	−	8.79927i	−0.357151	−	0.357151i	0.505611	−	0.862762i	$-0.331267\pi$
$607$	−8.79927	−	8.79927i	−0.357151	−	0.357151i	−0.862762	+	0.505611i	$0.831267\pi$
$608$	−1.72086	+	45.4096i	−0.0697902	+	1.84160i
$609$	−12.0693	−	16.6120i	−0.489073	−	0.673151i
$610$	−8.25313	−	9.72095i	−0.334159	−	0.393590i
$611$	7.35018	−	10.1167i	0.297357	−	0.409276i
$612$	−0.0919637	−	0.335429i	−0.00371741	−	0.0135589i
$613$	−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	$0.664862\pi$
$614$	−15.6449	+	35.4146i	−0.631375	+	1.42922i
$615$	−1.25831	+	2.59893i	−0.0507398	+	0.104799i
$616$	49.9697	+	15.7575i	2.01334	+	0.634887i
$617$	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	$0.636321\pi$
$618$	1.50482	−	2.33197i	0.0605326	−	0.0938057i
$619$	−4.97483	+	15.3110i	−0.199955	+	0.615399i	0.799928	+	0.600097i	$0.204871\pi$
$619$	−4.97483	+	15.3110i	−0.199955	+	0.615399i	−0.999883	+	0.0153026i	$0.995129\pi$
$620$	−5.56212	+	30.0028i	−0.223380	+	1.20494i
$621$	1.05207	+	3.23795i	0.0422182	+	0.129934i
$622$	−45.3349	−	12.0068i	−1.81776	−	0.481430i
$623$	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
$628$	0.109302	−	2.34548i	0.00436162	−	0.0935950i
$629$	−0.397574	+	0.129180i	−0.0158523	+	0.00515073i
$630$	−6.17827	+	14.7924i	−0.246148	+	0.589343i
$631$	19.9039	+	6.46717i	0.792362	+	0.257454i	0.677110	−	0.735882i	$-0.263232\pi$
$631$	19.9039	+	6.46717i	0.792362	+	0.257454i	0.115253	+	0.993336i	$0.463232\pi$
$632$	−2.12806	+	14.2355i	−0.0846499	+	0.566259i
$633$	−21.3194	+	10.8628i	−0.847371	+	0.431757i
$634$	−1.53281	+	1.71230i	−0.0608756	+	0.0680043i
$635$	11.9014	+	5.76221i	0.472293	+	0.228666i
$636$	4.87887	−	23.6254i	0.193460	−	0.936809i
$637$	6.79717	−	42.9156i	0.269314	−	1.70038i
$638$	−20.9004	+	1.15605i	−0.827453	+	0.0457685i
$639$	−1.88094	−	1.36658i	−0.0744089	−	0.0540612i
$640$	−10.0176	−	23.2303i	−0.395980	−	0.918259i
$641$	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	$0.130519\pi$
$642$	−2.63439	+	2.14595i	−0.103971	+	0.0846939i
$643$	−21.3854	+	21.3854i	−0.843357	+	0.843357i	−0.989294	−	0.145937i	$-0.953380\pi$
$643$	−21.3854	+	21.3854i	−0.843357	+	0.843357i	0.145937	+	0.989294i	$0.453380\pi$
$644$	−34.3076	+	3.80693i	−1.35191	+	0.150014i
$645$	−1.01787	+	3.36401i	−0.0400785	+	0.132458i
$646$	−0.992771	−	1.70809i	−0.0390601	−	0.0672037i
$647$	3.69522	−	7.25227i	0.145274	−	0.285116i	−0.806891	−	0.590700i	$-0.798852\pi$
$647$	3.69522	−	7.25227i	0.145274	−	0.285116i	0.952165	+	0.305584i	$0.0988517\pi$
$648$	1.98255	−	2.01730i	0.0778818	−	0.0792471i
$649$		−	38.1832i		−	1.49882i
$650$	−13.8585	+	8.82776i	−0.543575	+	0.346253i
$651$		−	34.5891i		−	1.35565i
$652$	−5.74560	−	8.73625i	−0.225015	−	0.342138i
$653$	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	$0.0395118\pi$
$654$	−15.1601	+	8.81131i	−0.592805	+	0.344549i
$655$	14.2421	−	10.7968i	0.556486	−	0.421867i
$656$	2.63433	+	4.44311i	0.102853	+	0.173474i
$657$	2.21373	−	2.21373i	0.0863657	−	0.0863657i
$658$	24.3659	+	29.9119i	0.949884	+	1.16609i
$659$	−23.0988	+	16.7822i	−0.899800	+	0.653743i	−0.938415	−	0.345511i	$-0.887706\pi$
$659$	−23.0988	+	16.7822i	−0.899800	+	0.653743i	0.0386145	+	0.999254i	$0.487706\pi$
$660$	9.25565	+	13.4684i	0.360276	+	0.524256i
$661$	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	$0.597250\pi$
$662$	2.37870	+	43.0048i	0.0924510	+	1.67143i
$663$	−0.0632161	+	0.399131i	−0.00245511	+	0.0155009i
$664$	−0.255334	−	29.3853i	−0.00990887	−	1.14037i
$665$	−12.4125	+	90.2093i	−0.481337	+	3.49816i
$666$	−2.53292	−	2.26740i	−0.0981485	−	0.0878599i
$667$	12.2872	−	6.26065i	0.475763	−	0.242413i
$668$	3.95194	−	10.4761i	0.152905	−	0.405333i
$669$	11.7494	+	3.81763i	0.454260	+	0.147598i
$670$	22.2560	−	5.27398i	0.859825	−	0.203752i
$671$	14.0144	−	4.55355i	0.541020	−	0.175788i
$672$	15.9651	+	23.8216i	0.615867	+	0.918940i
$673$	−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	$0.774937\pi$
$678$	−0.929102	+	3.50807i	−0.0356819	+	0.134726i
$679$	14.0377	+	43.2037i	0.538719	+	1.65801i
$680$	0.908198	+	0.620383i	0.0348278	+	0.0237906i
$681$	3.28449	−	10.1086i	0.125862	−	0.387364i
$682$	−29.6277	−	19.1187i	−1.13450	−	0.732092i
$683$	10.0493	+	19.7229i	0.384527	+	0.754676i	0.999424	−	0.0339308i	$-0.0108026\pi$
$683$	10.0493	+	19.7229i	0.384527	+	0.754676i	−0.614897	+	0.788607i	$0.710803\pi$
$684$	7.95239	−	13.9601i	0.304067	−	0.533777i
$685$	13.8417	+	13.2898i	0.528865	+	0.507776i
$686$	76.7170	+	33.8907i	2.92907	+	1.29395i
$687$	28.1843	+	4.46395i	1.07530	+	0.170310i
$688$	4.01298	+	4.83988i	0.152993	+	0.184519i
$689$	−16.4749	+	22.6758i	−0.627644	+	0.863878i
$690$	−9.16312	−	5.65232i	−0.348834	−	0.215180i
$691$	−8.55773	−	11.7787i	−0.325551	−	0.448083i	0.614601	−	0.788838i	$-0.289317\pi$
$691$	−8.55773	−	11.7787i	−0.325551	−	0.448083i	−0.940152	+	0.340755i	$0.889317\pi$
$692$	−17.4461	−	13.9610i	−0.663200	−	0.530717i
$693$	−13.0988	−	13.0988i	−0.497584	−	0.497584i
$694$	−28.5427	−	2.91640i	−1.08346	−	0.110705i
$695$	15.6884	−	5.45267i	0.595094	−	0.206831i
$696$	−9.32671	−	6.65321i	−0.353528	−	0.252189i
$697$	−0.200092	−	0.101952i	−0.00757903	−	0.00386171i
$698$	−18.6132	+	7.20685i	−0.704519	+	0.272783i
$699$	14.1462			0.535060
$700$	−15.3812	−	48.3040i	−0.581356	−	1.82572i
$701$	−25.3484			−0.957396			−0.478698	−	0.877980i	$-0.658891\pi$
$701$	−25.3484			−0.957396			−0.478698	+	0.877980i	$0.658891\pi$
$702$	−3.06456	+	1.18657i	−0.115664	+	0.0447842i
$703$	−17.2055	−	8.76666i	−0.648919	−	0.330641i
$704$	29.2292	−	0.507993i	1.10162	−	0.0191457i
$705$	0.244750	+	12.0306i	0.00921783	+	0.453100i
$706$	8.21469	+	0.839351i	0.309164	+	0.0315894i
$707$	−50.0342	−	50.0342i	−1.88173	−	1.88173i
$708$	13.0574	−	16.3169i	0.490726	−	0.613225i
$709$	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	$0.780610\pi$
$710$	7.33120	−	0.555278i	0.275135	−	0.0208392i
$711$	2.99121	−	4.11705i	0.112179	−	0.154401i
$712$	1.15976	−	0.603678i	0.0434639	−	0.0226238i
$713$	22.9439	+	3.63396i	0.859256	+	0.136093i
$714$	−1.14042	−	0.503797i	−0.0426793	−	0.0188541i
$715$	−3.35111	−	18.6893i	−0.125324	−	0.698940i
$716$	−26.8358	−	15.2871i	−1.00290	−	0.571305i
$717$	6.23387	+	12.2347i	0.232808	+	0.456912i
$718$	17.0629	+	11.0107i	0.636783	+	0.410915i
$719$	5.03398	−	15.4930i	0.187736	−	0.577792i	−0.812249	−	0.583311i	$-0.801757\pi$
$719$	5.03398	−	15.4930i	0.187736	−	0.577792i	0.999985	+	0.00551941i	$0.00175689\pi$
$720$	−0.650509	+	8.92059i	−0.0242430	+	0.332451i
$721$	−3.07426	−	9.46159i	−0.114491	−	0.352368i
$722$	16.4853	−	62.2445i	0.613519	−	2.31650i
$723$	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	0.961800	−	0.273752i	$-0.0882647\pi$
$727$	−1.01165	−	6.38733i	−0.0375201	−	0.236893i	−0.999320	+	0.0368591i	$0.988265\pi$
$728$	−5.49791	−	32.8618i	−0.203766	−	1.21794i
$729$	−0.951057	+	0.309017i	−0.0352243	+	0.0114451i
$730$	−0.805790	+	9.86724i	−0.0298236	+	0.365203i
$731$	−0.259962	−	0.0844668i	−0.00961504	−	0.00312412i
$732$	7.54595	+	2.84658i	0.278906	+	0.105213i
$733$	−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	$0.588680\pi$
$734$	13.4831	+	12.0697i	0.497670	+	0.445501i
$735$	19.7358	+	36.8604i	0.727965	+	1.35962i
$736$	−17.4789	+	8.08739i	−0.644280	+	0.298105i
$737$	−4.13463	+	26.1050i	−0.152301	+	0.961591i
$738$	−0.100859	−	1.82344i	−0.00371268	−	0.0671218i
$739$	−7.37894	−	5.36112i	−0.271439	−	0.197212i	0.443736	−	0.896158i	$-0.353653\pi$
$739$	−7.37894	−	5.36112i	−0.271439	−	0.197212i	−0.715175	+	0.698946i	$0.753653\pi$
$740$	10.7465	+	0.281905i	0.395051	+	0.0103630i
$741$	−15.1018	+	10.9721i	−0.554778	+	0.403070i
$742$	−54.6145	−	67.0453i	−2.00496	−	2.46131i
$743$	−30.2418	+	30.2418i	−1.10946	+	1.10946i	−0.116243	+	0.993221i	$0.537085\pi$
$743$	−30.2418	+	30.2418i	−1.10946	+	1.10946i	−0.993221	+	0.116243i	$0.962915\pi$
$744$	−6.12289	−	18.3017i	−0.224476	−	0.670972i
$745$	4.26966	+	2.97131i	0.156428	+	0.108860i
$746$	−14.2682	+	8.29295i	−0.522396	+	0.303626i
$747$	−4.71681	+	9.25727i	−0.172579	+	0.338706i
$748$	−1.06189	+	0.698377i	−0.0388265	+	0.0255352i
$749$			12.1798i			0.445039i
$750$	5.49528	−	14.8257i	0.200659	−	0.541359i
$751$			30.4435i			1.11090i	0.831550	+	0.555450i	$0.187454\pi$
$751$			30.4435i			1.11090i	−0.831550	+	0.555450i	$0.812546\pi$
$752$	18.1874	+	11.5137i	0.663226	+	0.419861i
$753$	−10.6198	+	20.8425i	−0.387007	+	0.759543i
$754$	6.68886	+	11.5083i	0.243594	+	0.419109i
$755$	−0.889571	−	0.619064i	−0.0323748	−	0.0225300i
$756$	−1.11818	−	10.0769i	−0.0406678	−	0.366494i
$757$	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	$0.0611080\pi$
$758$	21.5099	−	17.5217i	0.781273	−	0.636418i
$759$	10.0650	−	7.31266i	0.365337	−	0.265433i
$760$	9.40098	+	49.9286i	0.341009	+	1.81110i
$761$	−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	$-0.726702\pi$
$762$	−8.35016	+	0.461868i	−0.302494	+	0.0167317i
$763$	−9.83266	+	62.0810i	−0.355966	+	2.24748i
$764$	−11.8784	−	2.45300i	−0.429745	−	0.0887466i
$765$	−0.183550	−	0.342815i	−0.00663625	−	0.0123945i
$766$	12.5622	−	14.0332i	0.453890	−	0.507041i
$767$	−21.6345	+	11.0233i	−0.781175	+	0.398029i
$768$	12.6643	+	9.77834i	0.456983	+	0.352845i
$769$	−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	$0.805613\pi$
$770$	58.3854	+	4.76794i	2.10406	+	0.171824i
$771$	−2.18769	+	0.710823i	−0.0787877	+	0.0255997i
$772$	43.8403	+	2.04300i	1.57785	+	0.0735292i
$773$	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
$778$	−34.1287	−	9.03890i	−1.22357	−	0.324060i
$779$	−3.20558	−	9.86577i	−0.114852	−	0.353478i
$780$	4.95908	−	9.13249i	0.177564	−	0.326996i
$781$	−2.62538	+	8.08010i	−0.0939436	+	0.289129i
$782$	0.453997	−	0.703546i	0.0162349	−	0.0251588i
$783$	1.83889	+	3.60903i	0.0657166	+	0.128976i
$784$	74.4702	+	6.95587i	2.65965	+	0.248424i
$785$	−0.463321	−	2.58397i	−0.0165366	−	0.0922257i
$786$	−4.56753	+	10.3393i	−0.162918	+	0.368791i
$787$	−49.7140	−	7.87392i	−1.77211	−	0.280675i	−0.816940	−	0.576723i	$-0.804331\pi$
$787$	−49.7140	−	7.87392i	−1.77211	−	0.280675i	−0.955173	+	0.296048i	$0.904331\pi$
$788$	11.6878	−	3.20442i	0.416361	−	0.114153i
$789$	1.72694	−	2.37694i	0.0614809	−	0.0846212i
$790$	1.21540	+	16.0467i	0.0432422	+	0.570916i
$791$	7.64623	+	10.5241i	0.271869	+	0.374195i
$792$	−9.24956	−	4.61210i	−0.328669	−	0.163884i
$793$	−6.62592	−	6.62592i	−0.235293	−	0.235293i
$794$	−1.58035	+	15.4669i	−0.0560847	+	0.548898i
$795$	−0.548590	−	26.9658i	−0.0194565	−	0.956378i
$796$	12.5764	−	11.4565i	0.445760	−	0.406064i
$797$	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	$0.473550\pi$
$798$	−20.7944	−	53.7057i	−0.736113	−	1.90116i
$799$	−0.935840			−0.0331076
$800$	−16.6892	−	22.8358i	−0.590051	−	0.807366i
$801$	−0.462260			−0.0163332
$802$	8.90609	+	23.0018i	0.314485	+	0.812222i
$803$	−10.1933	−	5.19373i	−0.359712	−	0.183283i
$804$	−10.6939	+	9.74159i	−0.377145	+	0.343559i
$805$	−36.4535	+	12.6698i	−1.28482	+	0.446552i
$806$	−2.27920	+	22.3064i	−0.0802814	+	0.785711i
$807$	−4.62896	−	4.62896i	−0.162947	−	0.162947i
$808$	−35.3309	−	17.6170i	−1.24294	−	0.619765i
$809$	−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	$0.808018\pi$
$810$	1.66021	−	2.69141i	0.0583339	−	0.0945666i
$811$	11.2040	−	15.4209i	0.393425	−	0.541503i	−0.565654	−	0.824643i	$-0.691376\pi$
$811$	11.2040	−	15.4209i	0.393425	−	0.541503i	0.959079	+	0.283140i	$0.0913761\pi$
$812$	−39.6055	+	10.8585i	−1.38988	+	0.381060i
$813$	8.88988	+	1.40802i	0.311782	+	0.0493814i
$814$	−5.01982	+	11.3632i	−0.175945	+	0.398279i
$815$	−8.43285	−	8.09657i	−0.295390	−	0.283611i
$816$	−0.692600	−	0.0646921i	−0.0242458	−	0.00226468i
$817$	−5.73226	−	11.2502i	−0.200546	−	0.393595i
$818$	−0.222599	+	0.344956i	−0.00778300	+	0.0120611i
$819$	−3.64019	+	11.2033i	−0.127198	+	0.391476i
$820$	3.97508	+	4.18925i	0.138816	+	0.146295i
$821$	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	$0.681316\pi$
$822$	−11.7316	−	3.10709i	−0.409187	−	0.108372i
$823$	38.2611	−	6.05996i	1.33370	−	0.211237i	0.551452	−	0.834207i	$-0.314074\pi$
$823$	38.2611	−	6.05996i	1.33370	−	0.211237i	0.782246	+	0.622970i	$0.214074\pi$
$824$	−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	$0.180690\pi$
$827$	5.96468	+	37.6595i	0.207412	+	1.30955i	−0.635752	+	0.771894i	$0.719310\pi$
$828$	6.80178	+	0.316969i	0.236378	+	0.0110154i
$829$	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	$0.148738\pi$
$830$	−7.57582	−	31.9697i	−0.262961	−	1.10968i
$831$	22.5657	+	7.33205i	0.782797	+	0.254346i
$832$	−8.72618	−	16.4145i	−0.302526	−	0.569072i
$833$	−2.89733	+	1.47627i	−0.100387	+	0.0511496i
$834$	−7.00618	+	7.82662i	−0.242604	+	0.271014i
$835$	1.70641	−	12.4015i	0.0590527	−	0.429171i
$836$	−57.4962	−	11.8735i	−1.98855	−	0.410654i
$837$	−1.06737	+	6.73913i	−0.0368938	+	0.232938i
$838$	35.4032	−	1.95824i	1.22298	−	0.0676463i
$839$	−23.4014	−	17.0021i	−0.807905	−	0.586977i	0.105318	−	0.994439i	$-0.466414\pi$
$839$	−23.4014	−	17.0021i	−0.807905	−	0.586977i	−0.913222	+	0.407461i	$0.866414\pi$
$840$	23.3194	+	22.0034i	0.804597	+	0.759188i
$841$	−10.1883	+	7.40223i	−0.351320	+	0.255249i
$842$	−29.7069	+	24.1990i	−1.02377	+	0.833952i
$843$	8.27040	−	8.27040i	0.284848	−	0.284848i
$844$	5.27778	+	47.5628i	0.181669	+	1.63718i
$845$	13.5430	−	10.2668i	0.465893	−	0.353189i
$846$	−3.82428	−	6.57976i	−0.131481	−	0.226217i
$847$	−5.41583	+	10.6292i	−0.186090	+	0.365223i
$848$	−40.7658	−	25.8071i	−1.39990	−	0.886220i
$849$			5.54261i			0.190222i
$850$	1.14410	+	0.450743i	0.0392421	+	0.0154604i
$851$		−	8.18402i		−	0.280544i
$852$	−3.88503	+	2.55509i	−0.133099	+	0.0875358i
$853$	−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	$0.898691\pi$
$854$	24.9946	−	14.5273i	0.855298	−	0.497115i
$855$	5.20213	−	17.1928i	0.177909	−	0.587982i
$856$	2.15604	+	6.44453i	0.0736919	+	0.220269i
$857$	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	$0.109329\pi$
$858$	7.58429	+	9.31055i	0.258924	+	0.317857i
$859$	−4.27825	+	3.10833i	−0.145972	+	0.106055i	−0.658374	−	0.752691i	$-0.728756\pi$
$859$	−4.27825	+	3.10833i	−0.145972	+	0.106055i	0.512402	+	0.858745i	$0.328756\pi$
$860$	5.57649	+	4.27940i	0.190157	+	0.145926i
$861$	−5.29606	−	3.84781i	−0.180489	−	0.131133i
$862$	1.33013	+	24.0476i	0.0453046	+	0.819066i
$863$	6.09322	−	38.4711i	0.207416	−	1.30957i	−0.635741	−	0.771903i	$-0.719305\pi$
$863$	6.09322	−	38.4711i	0.207416	−	1.30957i	0.843156	−	0.537668i	$-0.180695\pi$
$864$	−2.37544	−	5.13393i	−0.0808142	−	0.174660i
$865$	−22.4851	−	10.8864i	−0.764515	−	0.370150i
$866$	−3.72991	−	3.33892i	−0.126747	−	0.113461i
$867$	−15.1202	+	7.70411i	−0.513508	+	0.261645i
$868$	−64.7259	−	24.4167i	−2.19694	−	0.828757i
$869$	−17.6859	−	5.74650i	−0.599954	−	0.194937i
$870$	−11.8193	−	4.93652i	−0.400713	−	0.167364i
$871$	15.9847	−	5.19374i	0.541620	−	0.175983i
$872$	5.78682	+	34.5887i	0.195967	+	1.17132i
$873$	−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	$0.327530\pi$
$878$	10.1575	−	38.3523i	0.342799	−	1.29433i
$879$	−5.52815	−	17.0139i	−0.186460	−	0.573864i
$880$	31.7368	−	7.81248i	1.06985	−	0.263359i
$881$	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	$0.0765490\pi$
$882$	−22.2193	−	14.3380i	−0.748162	−	0.482787i
$883$	−11.2399	−	22.0596i	−0.378254	−	0.742365i	0.620883	−	0.783903i	$-0.286774\pi$
$883$	−11.2399	−	22.0596i	−0.378254	−	0.742365i	−0.999137	+	0.0415385i	$0.986774\pi$
$884$	0.702261	+	0.400045i	0.0236196	+	0.0134550i
$885$	10.1818	−	21.0297i	0.342258	−	0.706906i
$886$	26.4771	+	11.6966i	0.889517	+	0.392955i
$887$	23.2179	+	3.67735i	0.779581	+	0.123473i	0.533527	−	0.845783i	$-0.320866\pi$
$887$	23.2179	+	3.67735i	0.779581	+	0.123473i	0.246053	+	0.969256i	$0.420866\pi$
$888$	−6.03095	+	3.13922i	−0.202385	+	0.105345i
$889$	−17.6204	+	24.2525i	−0.590971	+	0.813401i
$890$	1.11435	−	0.946085i	0.0373530	−	0.0317128i
$891$	2.14789	+	2.95632i	0.0719570	+	0.0990403i
$892$	15.4379	−	19.2916i	0.516898	−	0.645931i
$893$	−30.5677	−	30.5677i	−1.02291	−	1.02291i
$894$	−3.27286	−	0.334411i	−0.109461	−	0.0111844i
$895$	−33.0502	−	10.0002i	−1.10475	−	0.334269i
$896$	55.8469	−	13.0593i	1.86571	−	0.436281i
$897$	−7.04905	−	3.59167i	−0.235361	−	0.119922i
$898$	41.5062	−	16.0708i	1.38508	−	0.536290i
$899$	27.6371			0.921750
$900$	1.50619	+	9.88592i	0.0502064	+	0.329531i
$901$	2.09762			0.0698818
$902$	−6.22322	+	2.40957i	−0.207211	+	0.0802300i
$903$	−7.09955	−	3.61740i	−0.236258	−	0.120380i
$904$	5.90872	+	4.21498i	0.196521	+	0.140188i
$905$	17.6194	+	23.2417i	0.585687	+	0.772581i
$906$	0.681892	+	0.0696735i	0.0226543	+	0.00231475i
$907$	17.2451	+	17.2451i	0.572613	+	0.572613i	0.932858	−	0.360245i	$-0.117307\pi$
$907$	17.2451	+	17.2451i	0.572613	+	0.572613i	−0.360245	+	0.932858i	$0.617307\pi$
$908$	−16.5975	−	13.2820i	−0.550809	−	0.440778i
$909$	8.20438	+	11.2924i	0.272122	+	0.374544i
$910$	−14.1541	−	34.4575i	−0.469204	−	1.14225i
$911$	9.09960	−	12.5245i	0.301483	−	0.414956i	−0.631218	−	0.775605i	$-0.717445\pi$
$911$	9.09960	−	12.5245i	0.301483	−	0.414956i	0.932702	+	0.360649i	$0.117445\pi$
$912$	−20.5096	−	24.7357i	−0.679139	−	0.819080i
$913$	37.4986	+	5.93919i	1.24102	+	0.196559i
$914$	20.9540	+	9.25672i	0.693098	+	0.306185i
$915$	8.93279	+	1.22913i	0.295309	+	0.0406337i
$916$	28.2488	−	49.5896i	0.933368	−	1.63849i
$917$	18.3946	+	36.1014i	0.607443	+	1.19217i
$918$	0.206647	+	0.133349i	0.00682037	+	0.00440117i
$919$	−1.20487	+	3.70821i	−0.0397450	+	0.122323i	−0.968960	−	0.247216i	$-0.920484\pi$
$919$	−1.20487	+	3.70821i	−0.0397450	+	0.122323i	0.929215	+	0.369539i	$0.120484\pi$
$920$	−17.0454	+	13.1568i	−0.561971	+	0.433765i
$921$	−8.45983	−	26.0367i	−0.278761	−	0.857938i
$922$	12.1050	−	45.7055i	0.398656	−	1.50523i
$923$	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
$928$	−19.0338	+	12.7563i	−0.624816	+	0.418747i
$929$	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	$0.168153\pi$
$930$	−11.2196	−	18.4302i	−0.367905	−	0.604350i
$931$	−142.856	−	46.4168i	−4.68193	−	1.52125i
$932$	9.98595	−	26.4716i	0.327101	−	0.867106i
$933$	29.5474	−	15.0552i	0.967340	−	0.492884i
$934$	−25.3619	−	22.7033i	−0.829866	−	0.742873i
$935$	−0.984137	+	1.02501i	−0.0321847	+	0.0335214i
$936$	0.0571075	+	6.57226i	0.00186662	+	0.214821i
$937$	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	$0.0438012\pi$
$938$	2.86379	+	51.7747i	0.0935060	+	1.69050i
$939$	−13.1883	−	9.58188i	−0.430385	−	0.312693i
$940$	22.6855	+	8.03452i	0.739918	+	0.262057i
$941$	−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	$0.532177\pi$
$942$	1.04860	+	1.28727i	0.0341652	+	0.0419415i
$943$	3.10877	−	3.10877i	0.101236	−	0.101236i
$944$	−21.3161	−	35.9522i	−0.693781	−	1.17014i
$945$	−3.72141	−	10.7072i	−0.121057	−	0.348305i
$946$	−7.02272	+	4.08173i	−0.228328	+	0.132709i
$947$	9.49396	−	18.6329i	0.308512	−	0.605489i	−0.683741	−	0.729725i	$-0.739648\pi$
$947$	9.49396	−	18.6329i	0.308512	−	0.605489i	0.992253	+	0.124236i	$0.0396480\pi$
$948$	−5.59263	−	8.50365i	−0.181640	−	0.276186i
$949$			7.27488i			0.236152i
$950$	22.6472	+	52.0928i	0.734772	+	1.69011i
$951$		−	1.62504i		−	0.0526954i
$952$	−1.74778	+	1.77842i	−0.0566459	+	0.0576389i
$953$	−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	$0.967532\pi$
$954$	8.57185	+	14.7481i	0.277524	+	0.477486i
$955$	−13.5579	+	0.275821i	−0.438722	+	0.00892535i
$956$	27.2950	−	3.02878i	0.882784	−	0.0979577i
$957$	10.4662	−	10.4662i	0.338323	−	0.338323i
$958$	1.72918	−	1.40858i	0.0558674	−	0.0455091i
$959$	−35.1946	+	25.5704i	−1.13649	+	0.825711i
$960$	16.2337	+	7.51440i	0.523941	+	0.242526i
$961$	12.5844	+	9.14311i	0.405949	+	0.294939i
$962$	7.88753	−	0.436279i	0.254304	−	0.0140662i
$963$	0.375852	−	2.37303i	0.0121117	−	0.0764700i
$964$	5.69339	−	27.5696i	0.183372	−	0.887958i
$965$	48.2979	−	8.66011i	1.55476	−	0.278779i
$966$	16.2796	−	18.1859i	0.523787	−	0.585123i
$967$	42.1959	−	21.4999i	1.35693	−	0.691390i	0.384181	−	0.923258i	$-0.374484\pi$
$967$	42.1959	−	21.4999i	1.35693	−	0.691390i	0.972747	+	0.231868i	$0.0744838\pi$
$968$	−0.984057	+	6.58278i	−0.0316288	+	0.211579i
$969$	1.32861	+	0.431693i	0.0426813	+	0.0138680i
$970$	21.4937	+	18.4670i	0.690121	+	0.592940i
$971$	2.37842	−	0.772795i	0.0763271	−	0.0248002i	−0.270605	−	0.962691i	$-0.587224\pi$
$971$	2.37842	−	0.772795i	0.0763271	−	0.0248002i	0.346932	+	0.937890i	$0.387224\pi$
$972$	−0.0931008	+	1.99783i	−0.00298621	+	0.0640805i
$973$	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	$0.614948\pi$
$978$	7.14729	+	1.89294i	0.228545	+	0.0605296i
$979$	0.521990	+	1.60652i	0.0166829	+	0.0513446i
$980$	82.9078	−	10.9111i	2.64839	−	0.348543i
$981$	3.83148	−	11.7921i	0.122330	−	0.376492i
$982$	22.9618	−	35.5832i	0.732739	−	1.13551i
$983$	13.7947	+	27.0737i	0.439983	+	0.863516i	0.999400	+	0.0346297i	$0.0110252\pi$
$983$	13.7947	+	27.0737i	0.439983	+	0.863516i	−0.559417	+	0.828887i	$0.688975\pi$
$984$	−3.48337	−	1.09845i	−0.111046	−	0.0350172i
$985$	11.9452	−	6.39568i	0.380605	−	0.203783i
$986$	0.402541	−	0.911215i	0.0128195	−	0.0290190i
$987$	−26.9443	−	4.26757i	−0.857648	−	0.135838i
$988$	9.87139	+	36.0050i	0.314051	+	1.14547i
$989$	3.14541	−	4.32928i	0.100018	−	0.137663i
$990$	−11.2283	−	2.73066i	−0.356860	−	0.0867859i
$991$	2.41083	+	3.31822i	0.0765826	+	0.105407i	0.845590	−	0.533833i	$-0.179249\pi$
$991$	2.41083	+	3.31822i	0.0765826	+	0.105407i	−0.769007	+	0.639240i	$0.779249\pi$
$992$	−38.5698	−	1.46166i	−1.22459	−	0.0464077i
$993$	−21.5353	−	21.5353i	−0.683401	−	0.683401i
$994$	−1.69428	+	16.5818i	−0.0537392	+	0.525943i
$995$	10.8646	−	15.6120i	0.344430	−	0.494932i
$996$	13.9933	+	15.3613i	0.443395	+	0.486740i
$997$	−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	$0.779656\pi$
$998$	6.04978	+	15.6248i	0.191502	+	0.494594i
$999$	2.40383			0.0760537

Twists

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

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

\(f(q)\)	\(=\)	\(q+(0.510631 + 1.31881i) q^{2} +(-0.891007 - 0.453990i) q^{3} +(-1.47851 + 1.34685i) q^{4} +(-1.27726 + 1.83538i) q^{5} +(0.143751 - 1.40689i) q^{6} +(-3.58459 - 3.58459i) q^{7} +(-2.53121 - 1.26213i) q^{8} +(0.587785 + 0.809017i) q^{9} +O(q^{10})\)	\(q+(0.510631 + 1.31881i) q^{2} +(-0.891007 - 0.453990i) q^{3} +(-1.47851 + 1.34685i) q^{4} +(-1.27726 + 1.83538i) q^{5} +(0.143751 - 1.40689i) q^{6} +(-3.58459 - 3.58459i) q^{7} +(-2.53121 - 1.26213i) q^{8} +(0.587785 + 0.809017i) q^{9} +(-3.07272 - 0.747264i) q^{10} +(2.14789 - 2.95632i) q^{11} +(1.92882 - 0.528820i) q^{12} +(-2.29513 - 0.363512i) q^{13} +(2.89699 - 6.55779i) q^{14} +(1.97129 - 1.05547i) q^{15} +(0.372000 - 3.98266i) q^{16} +(0.0789506 + 0.154949i) q^{17} +(-0.766797 + 1.18829i) q^{18} +(-2.48237 + 7.63995i) q^{19} +(-0.583526 - 4.43390i) q^{20} +(1.56652 + 4.82127i) q^{21} +(4.99559 + 1.32307i) 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} +(10.1278 + 0.471963i) q^{28} +(-3.85226 + 1.25167i) q^{29} +(2.39856 + 2.06080i) q^{30} +(-6.48919 - 2.10846i) q^{31} +(5.44233 - 1.54307i) q^{32} +(-3.25592 + 1.65898i) q^{33} +(-0.164034 + 0.183243i) q^{34} +(11.1575 - 2.00061i) q^{35} +(-1.95867 - 0.404484i) q^{36} +(-0.376041 + 2.37423i) q^{37} +(-11.3432 + 0.627421i) q^{38} +(1.87994 + 1.36586i) q^{39} +(5.54950 - 3.03365i) q^{40} +(-1.04472 + 0.759030i) q^{41} +(-5.55841 + 4.52783i) q^{42} +(-1.11142 + 1.11142i) q^{43} +(0.806027 + 7.26383i) q^{44} +(-2.23561 + 0.0454810i) q^{45} +(-2.41947 - 4.16275i) q^{46} +(-2.44309 + 4.79484i) q^{47} +(-2.13955 + 3.37970i) q^{48} +18.6986i q^{49} +(5.29617 - 4.68514i) q^{50} -0.173904i q^{51} +(3.88297 - 2.55373i) q^{52} +(5.47602 - 10.7473i) q^{53} +(1.22269 - 0.710651i) q^{54} +(2.68254 + 7.71817i) q^{55} +(4.54912 + 13.5976i) q^{56} +(5.68027 - 5.68027i) q^{57} +(-3.61780 - 4.44125i) q^{58} +(8.45350 - 6.14182i) q^{59} +(-1.49302 + 4.21555i) q^{60} +(3.26236 + 2.37025i) q^{61} +(-0.532916 - 9.63464i) q^{62} +(0.793026 - 5.00697i) q^{63} +(4.81404 + 6.38945i) q^{64} +(3.59866 - 3.74812i) q^{65} +(-3.85044 - 3.44681i) q^{66} +(-6.44454 + 3.28366i) q^{67} +(-0.325423 - 0.122760i) q^{68} +(3.23795 + 1.05207i) q^{69} +(8.33581 + 13.6931i) q^{70} +(-2.21118 + 0.718455i) q^{71} +(-0.466720 - 2.78965i) 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} +(-0.841349 + 3.17673i) q^{78} +(-1.57257 - 4.83988i) q^{79} +(6.83455 + 5.76966i) q^{80} +(-0.309017 + 0.951057i) q^{81} +(-1.53448 - 0.990196i) q^{82} +(4.71681 + 9.25727i) q^{83} +(-8.80964 - 5.01843i) q^{84} +(-0.385231 - 0.0530066i) q^{85} +(-2.03328 - 0.898229i) q^{86} +(4.00064 + 0.633638i) q^{87} +(-9.16802 + 4.77213i) q^{88} +(-0.271710 + 0.373976i) q^{89} +(-1.20155 - 2.92511i) q^{90} +(6.92404 + 9.53013i) q^{91} +(4.25442 - 5.31644i) q^{92} +(4.82469 + 4.82469i) q^{93} +(-7.57099 - 0.773580i) q^{94} +(-10.8515 - 14.3143i) q^{95} +(-5.54969 - 1.09588i) q^{96} +(-7.98438 - 4.06824i) q^{97} +(-24.6599 + 9.54808i) 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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