LMFDB - Embedded newform 300.2.w.a.127.20

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			127.20
Character	$\chi$	$=$	300.127
Dual form			300.2.w.a.163.20

$q$-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 $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

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

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	−0.474702	+	0.880147i	$0.657444\pi$
$7$	−3.58459	+	3.58459i	−1.35485	+	1.35485i	−0.880147	+	0.474702i	$0.842556\pi$
$8$	−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	0.998993	−	0.0448703i	$-0.0142875\pi$
$11$	2.14789	+	2.95632i	0.647613	+	0.891363i	−0.351380	+	0.936233i	$0.614287\pi$
$12$	1.92882	+	0.528820i	0.556803	+	0.152657i
$13$	−2.29513	+	0.363512i	−0.636553	+	0.100820i	−0.466366	−	0.884592i	$-0.654437\pi$
$13$	−2.29513	+	0.363512i	−0.636553	+	0.100820i	−0.170187	+	0.985412i	$0.554437\pi$
$14$	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	−0.881234	−	0.472680i	$-0.843287\pi$
$17$	0.0789506	−	0.154949i	0.0191483	−	0.0375807i	0.900383	+	0.435099i	$0.143287\pi$
$18$	−0.766797	−	1.18829i	−0.180736	−	0.280081i
$19$	−2.48237	−	7.63995i	−0.569495	−	1.75272i	−0.654203	−	0.756319i	$-0.726996\pi$
$19$	−2.48237	−	7.63995i	−0.569495	−	1.75272i	0.0847083	−	0.996406i	$-0.473004\pi$
$20$	−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	−0.204334	−	0.978901i	$-0.565503\pi$
$23$	−3.36266	−	0.532593i	−0.701164	−	0.111053i	−0.496830	+	0.867848i	$0.665503\pi$
$24$	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	−0.0713420	−	0.997452i	$-0.522728\pi$
$29$	−3.85226	−	1.25167i	−0.715346	−	0.232430i	−0.644004	+	0.765022i	$0.722728\pi$
$30$	2.39856	−	2.06080i	0.437915	−	0.376249i
$31$	−6.48919	+	2.10846i	−1.16549	+	0.378691i	−0.826959	−	0.562263i	$-0.809931\pi$
$31$	−6.48919	+	2.10846i	−1.16549	+	0.378691i	−0.338534	+	0.940954i	$0.609931\pi$
$32$	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	−0.999126	−	0.0418104i	$-0.986687\pi$
$37$	−0.376041	−	2.37423i	−0.0618208	−	0.390321i	0.937305	−	0.348511i	$-0.113313\pi$
$38$	−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	0.503211	−	0.864164i	$-0.332152\pi$
$41$	−1.04472	−	0.759030i	−0.163157	−	0.118541i	−0.666368	+	0.745623i	$0.732152\pi$
$42$	−5.55841	−	4.52783i	−0.857682	−	0.698660i
$43$	−1.11142	−	1.11142i	−0.169491	−	0.169491i	0.617265	−	0.786755i	$-0.288241\pi$
$43$	−1.11142	−	1.11142i	−0.169491	−	0.169491i	−0.786755	+	0.617265i	$0.788241\pi$
$44$	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	0.641333	−	0.767263i	$-0.278382\pi$
$47$	−2.44309	−	4.79484i	−0.356362	−	0.699399i	−0.997695	+	0.0678636i	$0.978382\pi$
$48$	−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	0.875155	+	0.483842i	$0.160759\pi$
$53$	5.47602	+	10.7473i	0.752189	+	1.47625i	−0.122966	+	0.992411i	$0.539241\pi$
$54$	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	0.981150	−	0.193249i	$-0.0619024\pi$
$59$	8.45350	+	6.14182i	1.10055	+	0.799597i	0.119402	+	0.992846i	$0.461902\pi$
$60$	−1.49302	−	4.21555i	−0.192749	−	0.544225i
$61$	3.26236	−	2.37025i	0.417703	−	0.303479i	−0.359010	−	0.933334i	$-0.616886\pi$
$61$	3.26236	−	2.37025i	0.417703	−	0.303479i	0.776713	+	0.629855i	$0.216886\pi$
$62$	−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	0.0136140	−	0.999907i	$-0.495666\pi$
$67$	−6.44454	−	3.28366i	−0.787326	−	0.401163i	−0.800940	+	0.598745i	$0.795666\pi$
$68$	−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	0.174853	−	0.984595i	$-0.444055\pi$
$71$	−2.21118	−	0.718455i	−0.262419	−	0.0852650i	−0.437271	+	0.899330i	$0.644055\pi$
$72$	−0.466720	+	2.78965i	−0.0550035	+	0.328764i
$73$	−0.489747	+	3.09214i	−0.0573205	+	0.361908i	0.942310	+	0.334740i	$0.108649\pi$
$73$	−0.489747	+	3.09214i	−0.0573205	+	0.361908i	−0.999631	+	0.0271671i	$0.991351\pi$
$74$	−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	−0.999716	−	0.0238193i	$-0.992417\pi$
$79$	−1.57257	+	4.83988i	−0.176928	+	0.544529i	0.822788	+	0.568348i	$0.192417\pi$
$80$	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	−0.473094	−	0.881012i	$-0.656863\pi$
$83$	4.71681	−	9.25727i	0.517738	−	1.01612i	0.990831	−	0.135105i	$-0.0431372\pi$
$84$	−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	0.794374	−	0.607430i	$-0.207799\pi$
$89$	−0.271710	−	0.373976i	−0.0288012	−	0.0396414i	−0.823175	+	0.567788i	$0.807799\pi$
$90$	−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	−0.809636	−	0.586932i	$-0.800336\pi$
$97$	−7.98438	+	4.06824i	−0.810691	+	0.413067i	−0.00105434	+	0.999999i	$0.500336\pi$
$98$	−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	−0.365718	−	0.930726i	$-0.619176\pi$
$103$	1.74857	−	0.890942i	0.172292	−	0.0877872i	0.538010	+	0.842939i	$0.319176\pi$
$104$	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	−0.784442	−	0.620202i	$-0.787050\pi$
$107$	−1.69891	+	1.69891i	−0.164239	+	0.164239i	0.620202	+	0.784442i	$0.287050\pi$
$108$	1.56156	−	1.24962i	0.150261	−	0.120244i
$109$	−7.28790	+	10.0309i	−0.698054	+	0.960790i	0.301918	+	0.953334i	$0.402373\pi$
$109$	−7.28790	+	10.0309i	−0.698054	+	0.960790i	−0.999972	+	0.00745557i	$0.997627\pi$
$110$	−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	−0.274504	−	0.961586i	$-0.588514\pi$
$113$	−2.53451	+	0.401427i	−0.238427	+	0.0377631i	0.0360775	+	0.999349i	$0.488514\pi$
$114$	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	0.912044	+	0.410092i	$0.134504\pi$
$127$	−0.925072	+	5.84068i	−0.0820869	+	0.518276i	−0.994131	+	0.108184i	$0.965496\pi$
$128$	−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	−0.621639	−	0.783304i	$-0.713533\pi$
$131$	−7.60143	+	2.46985i	−0.664140	+	0.215792i	−0.0425014	+	0.999096i	$0.513533\pi$
$132$	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	0.976277	+	0.216526i	$0.0694728\pi$
$137$	1.34244	+	8.47586i	0.114693	+	0.724141i	−0.861584	+	0.507615i	$0.830527\pi$
$138$	0.265912	−	4.80745i	0.0226360	−	0.409238i
$139$	−6.00917	+	4.36592i	−0.509691	+	0.370312i	−0.812706	−	0.582674i	$-0.802007\pi$
$139$	−6.00917	+	4.36592i	−0.509691	+	0.370312i	0.303015	+	0.952986i	$0.402007\pi$
$140$	−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	$0.0303777\pi$
$149$			2.32631i			0.190579i	−0.995450	+	0.0952895i	$0.969622\pi$
$150$	−6.84593	−	1.77008i	−0.558968	−	0.144526i
$151$		−	0.484681i		−	0.0394428i	−0.999806	−	0.0197214i	$-0.993722\pi$
$151$		−	0.484681i		−	0.0394428i	0.999806	−	0.0197214i	$-0.00627792\pi$
$152$	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	0.673204	−	0.739457i	$-0.264918\pi$
$157$	−0.830154	−	0.830154i	−0.0662535	−	0.0662535i	−0.739457	+	0.673204i	$0.764918\pi$
$158$	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	−0.998793	−	0.0491088i	$-0.984362\pi$
$163$	−0.817862	−	5.16378i	−0.0640599	−	0.404458i	0.934734	−	0.355349i	$-0.115638\pi$
$164$	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	0.250214	−	0.968191i	$-0.419499\pi$
$167$	−4.98818	−	2.54161i	−0.385997	−	0.196675i	−0.636211	+	0.771515i	$0.719499\pi$
$168$	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	−0.827748	−	0.561101i	$-0.810378\pi$
$173$	1.74772	−	11.0347i	0.132877	−	0.838951i	0.960624	−	0.277850i	$-0.0896219\pi$
$174$	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	−0.598364	−	0.801224i	$-0.704182\pi$
$179$	4.77193	−	14.6865i	0.356671	−	1.09772i	0.955035	−	0.296495i	$-0.0958177\pi$
$180$	3.24411	+	3.07827i	0.241802	+	0.229440i
$181$	4.03056	+	12.4048i	0.299589	+	0.922040i	0.981641	+	0.190737i	$0.0610877\pi$
$181$	4.03056	+	12.4048i	0.299589	+	0.922040i	−0.682052	+	0.731303i	$0.738912\pi$
$182$	−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	−0.660340	−	0.750967i	$-0.729588\pi$
$191$	3.56464	−	4.90630i	0.257928	−	0.355007i	0.918268	+	0.395959i	$0.129588\pi$
$192$	−1.38859	+	7.87857i	−0.100213	+	0.568587i
$193$	−15.5167	+	15.5167i	−1.11692	+	1.11692i	−0.124726	+	0.992191i	$0.539805\pi$
$193$	−15.5167	+	15.5167i	−1.11692	+	1.11692i	−0.992191	+	0.124726i	$0.960195\pi$
$194$	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	−0.635623	−	0.772000i	$-0.719256\pi$
$197$	−5.39911	+	2.75099i	−0.384671	+	0.196000i	0.250952	+	0.968000i	$0.419256\pi$
$198$	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	0.942943	+	0.332954i	$0.108046\pi$
$211$	14.0641	+	19.3576i	0.968216	+	1.33263i	0.0252730	+	0.999681i	$0.491954\pi$
$212$	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	−0.266129	−	0.963937i	$-0.585745\pi$
$223$	−12.2020	−	1.93261i	−0.817106	−	0.129417i	−0.550977	+	0.834520i	$0.685745\pi$
$224$	−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	−0.869025	−	0.494768i	$-0.835253\pi$
$227$	1.66272	−	10.4980i	0.110358	−	0.696776i	0.979384	−	0.202008i	$-0.0647468\pi$
$228$	−0.747890	−	16.0488i	−0.0495302	−	1.06286i
$229$	−27.1390	−	8.81799i	−1.79339	−	0.582709i	−0.793721	−	0.608282i	$-0.791859\pi$
$229$	−27.1390	−	8.81799i	−1.79339	−	0.582709i	−0.999673	+	0.0255728i	$0.991859\pi$
$230$	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	−0.0105616	−	0.999944i	$-0.503362\pi$
$233$	−12.6044	−	6.42226i	−0.825741	−	0.420736i	−0.815180	+	0.579208i	$0.803362\pi$
$234$	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	−0.885927	−	0.463824i	$-0.846477\pi$
$239$	−11.1088	+	8.07104i	−0.718571	+	0.522072i	0.167356	+	0.985896i	$0.446477\pi$
$240$	−3.47025	+	8.24362i	−0.224004	+	0.532124i
$241$	−11.3875	−	8.27348i	−0.733531	−	0.532942i	0.157147	−	0.987575i	$-0.449770\pi$
$241$	−11.3875	−	8.27348i	−0.733531	−	0.532942i	−0.890679	+	0.454634i	$0.849770\pi$
$242$	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	$0.264347\pi$
$251$			23.3921i			1.47650i	−0.674529	+	0.738248i	$0.735653\pi$
$252$	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	0.756015	−	0.654554i	$-0.227144\pi$
$257$	1.62654	+	1.62654i	0.101461	+	0.101461i	−0.654554	+	0.756015i	$0.727144\pi$
$258$	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	0.969457	−	0.245260i	$-0.0788734\pi$
$263$	−0.459613	−	2.90188i	−0.0283409	−	0.178938i	−0.997798	+	0.0663225i	$0.978873\pi$
$264$	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	−0.113000	−	0.993595i	$-0.536046\pi$
$269$	6.22594	−	2.02293i	0.379602	−	0.123340i	0.492602	+	0.870255i	$0.336046\pi$
$270$	−0.257385	−	3.15179i	−0.0156639	−	0.191812i
$271$	−8.56017	−	2.78137i	−0.519993	−	0.168956i	0.0372489	−	0.999306i	$-0.488141\pi$
$271$	−8.56017	−	2.78137i	−0.519993	−	0.168956i	−0.557242	+	0.830350i	$0.688141\pi$
$272$	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	−0.594317	−	0.804231i	$-0.702577\pi$
$277$	−23.4349	−	3.71172i	−1.40807	−	0.223016i	−0.813750	+	0.581215i	$0.802577\pi$
$278$	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	−0.999110	−	0.0421887i	$-0.986567\pi$
$281$	−3.61430	−	11.1237i	−0.215611	−	0.663582i	0.783499	−	0.621393i	$-0.213433\pi$
$282$	6.39461	−	4.12642i	0.380793	−	0.245725i
$283$	−2.51629	+	4.93851i	−0.149578	+	0.293564i	−0.953622	−	0.301006i	$-0.902678\pi$
$283$	−2.51629	+	4.93851i	−0.149578	+	0.293564i	0.804044	+	0.594570i	$0.202678\pi$
$284$	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	−0.233379	−	0.972386i	$-0.574978\pi$
$293$	12.6498	−	12.6498i	0.739007	−	0.739007i	0.972386	+	0.233379i	$0.0749783\pi$
$294$	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	0.111010	−	0.993819i	$-0.464591\pi$
$307$	19.3582	−	19.3582i	1.10483	−	1.10483i	0.993819	−	0.111010i	$-0.0354086\pi$
$308$	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	−0.828175	−	0.560470i	$-0.810621\pi$
$311$	−19.4921	−	26.8285i	−1.10529	−	1.52131i	−0.277118	−	0.960836i	$-0.589379\pi$
$312$	−3.03463	+	5.83000i	−0.171802	+	0.330059i
$313$	16.1010	−	2.55014i	0.910080	−	0.144143i	0.316197	−	0.948694i	$-0.397594\pi$
$313$	16.1010	−	2.55014i	0.910080	−	0.144143i	0.593883	+	0.804551i	$0.297594\pi$
$314$	−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	−0.869360	−	0.494179i	$-0.835469\pi$
$317$	0.737751	−	1.44792i	0.0414362	−	0.0813232i	0.910796	+	0.412856i	$0.135469\pi$
$318$	−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	0.626928	−	0.779077i	$-0.284312\pi$
$331$	28.9649	−	9.41126i	1.59205	−	0.517290i	0.965126	+	0.261787i	$0.0843118\pi$
$332$	−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	0.995196	−	0.0979030i	$-0.0312135\pi$
$337$	0.338783	+	2.13899i	0.0184547	+	0.116518i	−0.976741	+	0.214421i	$0.931213\pi$
$338$	−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	−0.994533	−	0.104426i	$-0.966699\pi$
$347$	−9.21046	−	18.0766i	−0.494444	−	0.970400i	0.500089	−	0.865974i	$-0.333301\pi$
$348$	−6.76840	−	4.45141i	−0.362825	−	0.238620i
$349$		−	14.1136i		−	0.755485i	−0.925911	−	0.377742i	$-0.876701\pi$
$349$		−	14.1136i		−	0.755485i	0.925911	−	0.377742i	$-0.123299\pi$
$350$	−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	0.950728	−	0.310025i	$-0.100338\pi$
$353$	2.65081	+	5.20251i	0.141088	+	0.276901i	−0.809640	+	0.586927i	$0.800338\pi$
$354$	−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	0.850511	−	0.525958i	$-0.176293\pi$
$359$	11.6169	+	8.44018i	0.613117	+	0.445456i	−0.237393	+	0.971414i	$0.576293\pi$
$360$	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	0.725494	−	0.688228i	$-0.241611\pi$
$367$	11.4013	+	5.80923i	0.595141	+	0.303239i	−0.130354	+	0.991468i	$0.541611\pi$
$368$	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	−0.894275	−	0.447517i	$-0.852308\pi$
$373$	1.82551	−	11.5258i	0.0945215	−	0.596785i	0.988797	−	0.149268i	$-0.0476917\pi$
$374$	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	0.665825	+	0.746108i	$0.268080\pi$
$379$	−6.06211	+	18.6573i	−0.311390	+	0.958359i	−0.977215	+	0.212251i	$0.931920\pi$
$380$	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	−0.992316	−	0.123728i	$-0.960515\pi$
$383$	−6.04626	+	11.8664i	−0.308949	+	0.606347i	0.683367	+	0.730075i	$0.260515\pi$
$384$	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	−0.998379	−	0.0569179i	$-0.981873\pi$
$389$	−14.6739	−	20.1969i	−0.743995	−	1.02402i	0.254384	−	0.967103i	$-0.418127\pi$
$390$	−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	−0.190563	−	0.981675i	$-0.561031\pi$
$397$	9.79542	−	4.99102i	0.491618	−	0.250492i	0.682181	+	0.731183i	$0.261031\pi$
$398$	−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	−0.804778	−	0.593577i	$-0.797715\pi$
$409$	0.170633	−	0.234856i	0.00843724	−	0.0116129i	0.813215	+	0.581964i	$0.197715\pi$
$410$	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	0.941087	+	0.338166i	$0.109806\pi$
$419$	7.74771	+	23.8450i	0.378500	+	1.16490i	−0.562586	+	0.826739i	$0.690194\pi$
$420$	20.4629	+	9.75915i	0.998488	+	0.476198i
$421$	8.37229	−	25.7672i	0.408040	−	1.25582i	−0.510289	−	0.860003i	$-0.670462\pi$
$421$	8.37229	−	25.7672i	0.408040	−	1.25582i	0.918330	−	0.395816i	$-0.129538\pi$
$422$	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	0.108256	−	0.994123i	$-0.465473\pi$
$431$	16.1967	−	5.26263i	0.780168	−	0.253492i	0.671912	+	0.740631i	$0.265473\pi$
$432$	−3.99182	−	0.255606i	−0.192057	−	0.0122979i
$433$	−3.15400	−	1.60704i	−0.151571	−	0.0772295i	0.376560	−	0.926392i	$-0.377107\pi$
$433$	−3.15400	−	1.60704i	−0.151571	−	0.0772295i	−0.528131	+	0.849163i	$0.677107\pi$
$434$	−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	−0.978244	−	0.207457i	$-0.933481\pi$
$439$	−22.6963	+	16.4898i	−1.08324	+	0.787016i	−0.104991	+	0.994473i	$0.533481\pi$
$440$	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	0.961706	−	0.274082i	$-0.0883740\pi$
$443$	14.4728	+	14.4728i	0.687624	+	0.687624i	−0.274082	+	0.961706i	$0.588374\pi$
$444$	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	$0.266426\pi$
$449$			31.4725i			1.48528i	−0.669692	+	0.742639i	$0.733574\pi$
$450$	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	0.922289	−	0.386502i	$-0.126317\pi$
$457$	11.4538	+	11.4538i	0.535787	+	0.535787i	−0.386502	+	0.922289i	$0.626317\pi$
$458$	−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	−0.998745	−	0.0500827i	$-0.984051\pi$
$461$	−27.0478	+	19.6514i	−1.25974	+	0.915257i	−0.260998	+	0.965339i	$0.584051\pi$
$462$	1.44685	−	26.1577i	0.0673134	−	1.21697i
$463$	−0.528273	−	3.33538i	−0.0245509	−	0.155008i	0.972367	−	0.233456i	$-0.0750036\pi$
$463$	−0.528273	−	3.33538i	−0.0245509	−	0.155008i	−0.996918	+	0.0784479i	$0.975004\pi$
$464$	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	−0.119123	−	0.992880i	$-0.538008\pi$
$467$	−21.4459	−	10.9272i	−0.992398	−	0.505652i	−0.873275	+	0.487228i	$0.838008\pi$
$468$	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	−0.961572	−	0.274551i	$-0.911471\pi$
$479$	−0.487335	+	1.49986i	−0.0222669	+	0.0685305i	0.939306	+	0.343082i	$0.111471\pi$
$480$	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	0.0779561	−	0.996957i	$-0.475161\pi$
$487$	10.1551	−	1.60842i	0.460173	−	0.0728843i	0.382217	+	0.924073i	$0.375161\pi$
$488$	−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	0.199222	+	0.979954i	$0.436158\pi$
$491$	−17.6012	+	24.2260i	−0.794333	+	1.09331i	−0.993555	+	0.113351i	$0.963842\pi$
$492$	−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	0.382750	−	0.923852i	$-0.374977\pi$
$503$	30.3925	−	15.4858i	1.35514	−	0.690477i	0.972387	+	0.233375i	$0.0749771\pi$
$504$	−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	0.303501	+	0.952831i	$0.401844\pi$
$509$	−15.7134	+	21.6276i	−0.696482	+	0.958626i	−0.999983	+	0.00579453i	$0.998156\pi$
$510$	−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	0.607213	+	0.794539i	$0.292288\pi$
$521$	−8.01289	+	24.6611i	−0.351051	+	1.08042i	−0.958264	+	0.285885i	$0.907712\pi$
$522$	1.46656	+	5.53736i	0.0641894	+	0.242364i
$523$	−39.6455	−	6.27924i	−1.73358	−	0.274572i	−0.791793	−	0.610789i	$-0.790852\pi$
$523$	−39.6455	−	6.27924i	−1.73358	−	0.274572i	−0.941785	+	0.336217i	$0.890852\pi$
$524$	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	0.248252	−	0.968696i	$-0.420144\pi$
$541$	−13.8700	−	10.0772i	−0.596319	−	0.433251i	−0.844570	+	0.535445i	$0.820144\pi$
$542$	−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	−0.985652	−	0.168793i	$-0.946013\pi$
$547$	−12.6963	−	24.9180i	−0.542857	−	1.06542i	0.442795	−	0.896623i	$-0.353987\pi$
$548$	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	0.995584	−	0.0938737i	$-0.0299250\pi$
$557$	21.2811	+	21.2811i	0.901710	+	0.901710i	−0.0938737	+	0.995584i	$0.529925\pi$
$558$	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	−0.965033	−	0.262129i	$-0.915575\pi$
$563$	−3.04270	−	19.2108i	−0.128234	−	0.809640i	0.836798	−	0.547511i	$-0.184425\pi$
$564$	−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	−0.861675	−	0.507461i	$-0.830584\pi$
$569$	−30.0678	+	9.76960i	−1.26051	+	0.409563i	−0.398831	+	0.917024i	$0.630584\pi$
$570$	−21.6985	−	13.2092i	−0.908852	−	0.553273i
$571$	24.6115	+	7.99676i	1.02996	+	0.334654i	0.774774	−	0.632238i	$-0.217864\pi$
$571$	24.6115	+	7.99676i	1.02996	+	0.334654i	0.255185	+	0.966892i	$0.417864\pi$
$572$	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	0.0779781	−	0.996955i	$-0.475154\pi$
$577$	−3.74572	−	0.593263i	−0.155936	−	0.0246979i	−0.233914	+	0.972257i	$0.575154\pi$
$578$	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	−0.337559	−	0.941304i	$-0.609601\pi$
$587$	−8.90911	+	1.41106i	−0.367718	+	0.0582409i	−0.0301590	+	0.999545i	$0.509601\pi$
$588$	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	0.451349	−	0.892348i	$-0.350943\pi$
$593$	32.7211	−	32.7211i	1.34370	−	1.34370i	0.892348	−	0.451349i	$-0.149057\pi$
$594$	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	−0.862762	−	0.505611i	$-0.831267\pi$
$607$	−8.79927	+	8.79927i	−0.357151	+	0.357151i	0.505611	+	0.862762i	$0.331267\pi$
$608$	−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	−0.495082	−	0.868846i	$-0.664862\pi$
$613$	−17.2679	+	2.73497i	−0.697445	+	0.110464i	−0.202363	+	0.979311i	$0.564862\pi$
$614$	−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	−0.415293	−	0.909688i	$-0.636321\pi$
$617$	14.0284	−	27.5323i	0.564763	−	1.10841i	0.980056	−	0.198722i	$-0.0636792\pi$
$618$	1.50482	+	2.33197i	0.0605326	+	0.0938057i
$619$	−4.97483	−	15.3110i	−0.199955	−	0.615399i	−0.999883	−	0.0153026i	$-0.995129\pi$
$619$	−4.97483	−	15.3110i	−0.199955	−	0.615399i	0.799928	−	0.600097i	$-0.204871\pi$
$620$	−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	0.115253	−	0.993336i	$-0.463232\pi$
$631$	19.9039	−	6.46717i	0.792362	−	0.257454i	0.677110	+	0.735882i	$0.263232\pi$
$632$	−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	0.917106	−	0.398644i	$-0.130519\pi$
$641$	20.7955	+	15.1088i	0.821375	+	0.596764i	−0.0957313	+	0.995407i	$0.530519\pi$
$642$	−2.63439	−	2.14595i	−0.103971	−	0.0846939i
$643$	−21.3854	−	21.3854i	−0.843357	−	0.843357i	0.145937	−	0.989294i	$-0.453380\pi$
$643$	−21.3854	−	21.3854i	−0.843357	−	0.843357i	−0.989294	+	0.145937i	$0.953380\pi$
$644$	−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	0.952165	−	0.305584i	$-0.0988517\pi$
$647$	3.69522	+	7.25227i	0.145274	+	0.285116i	−0.806891	+	0.590700i	$0.798852\pi$
$648$	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	0.992306	−	0.123811i	$-0.0395118\pi$
$653$	7.89301	+	15.4909i	0.308878	+	0.606206i	−0.683428	+	0.730018i	$0.739512\pi$
$654$	−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	0.0386145	−	0.999254i	$-0.487706\pi$
$659$	−23.0988	−	16.7822i	−0.899800	−	0.653743i	−0.938415	+	0.345511i	$0.887706\pi$
$660$	9.25565	−	13.4684i	0.360276	−	0.524256i
$661$	13.1962	−	9.58763i	0.513274	−	0.372916i	−0.300790	−	0.953690i	$-0.597250\pi$
$661$	13.1962	−	9.58763i	0.513274	−	0.372916i	0.814064	+	0.580775i	$0.197250\pi$
$662$	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	0.376201	+	0.926538i	$0.377230\pi$
$673$	−6.95002	+	43.8807i	−0.267903	+	1.69148i	−0.644104	+	0.764938i	$0.722770\pi$
$674$	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	−0.760277	−	0.649599i	$-0.774937\pi$
$677$	−43.8185	−	6.94016i	−1.68408	−	0.266732i	−0.923804	+	0.382867i	$0.874937\pi$
$678$	−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	−0.614897	−	0.788607i	$-0.710803\pi$
$683$	10.0493	−	19.7229i	0.384527	−	0.754676i	0.999424	+	0.0339308i	$0.0108026\pi$
$684$	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	−0.940152	−	0.340755i	$-0.889317\pi$
$691$	−8.55773	+	11.7787i	−0.325551	+	0.448083i	0.614601	+	0.788838i	$0.289317\pi$
$692$	−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	−0.771734	−	0.635945i	$-0.780610\pi$
$709$	1.90556	−	2.62277i	0.0715646	−	0.0985003i	0.843299	+	0.537445i	$0.180610\pi$
$710$	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	0.999985	−	0.00551941i	$-0.00175689\pi$
$719$	5.03398	+	15.4930i	0.187736	+	0.577792i	−0.812249	+	0.583311i	$0.801757\pi$
$720$	−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	−0.999320	−	0.0368591i	$-0.988265\pi$
$727$	−1.01165	+	6.38733i	−0.0375201	+	0.236893i	0.961800	+	0.273752i	$0.0882647\pi$
$728$	−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	−0.275007	−	0.961442i	$-0.588680\pi$
$733$	−32.8807	−	16.7535i	−1.21447	−	0.618806i	−0.939468	+	0.342637i	$0.888680\pi$
$734$	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	−0.715175	−	0.698946i	$-0.753653\pi$
$739$	−7.37894	+	5.36112i	−0.271439	+	0.197212i	0.443736	+	0.896158i	$0.353653\pi$
$740$	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	−0.993221	−	0.116243i	$-0.962915\pi$
$743$	−30.2418	−	30.2418i	−1.10946	−	1.10946i	−0.116243	−	0.993221i	$-0.537085\pi$
$744$	−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	$-0.812546\pi$
$751$		−	30.4435i		−	1.11090i	0.831550	−	0.555450i	$-0.187454\pi$
$752$	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	0.981629	−	0.190799i	$-0.0611080\pi$
$757$	21.7586	+	21.7586i	0.790830	+	0.790830i	−0.190799	+	0.981629i	$0.561108\pi$
$758$	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	−0.653505	+	0.756922i	$0.726702\pi$
$761$	−43.4573	+	31.5736i	−1.57533	+	1.14454i	−0.921820	+	0.387619i	$0.873298\pi$
$762$	−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	−0.819255	−	0.573429i	$-0.805613\pi$
$769$	−31.7516	+	10.3167i	−1.14499	+	0.372031i	−0.325738	+	0.945460i	$0.605613\pi$
$770$	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	−0.974694	−	0.223545i	$-0.928237\pi$
$773$	0.594263	−	3.75203i	0.0213742	−	0.134951i	0.996068	+	0.0885934i	$0.0282372\pi$
$774$	−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	−0.955173	−	0.296048i	$-0.904331\pi$
$787$	−49.7140	+	7.87392i	−1.77211	+	0.280675i	−0.816940	+	0.576723i	$0.804331\pi$
$788$	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	0.0830009	−	0.996549i	$-0.473550\pi$
$797$	26.4812	−	13.4929i	0.938013	−	0.477942i	0.855012	+	0.518608i	$0.173550\pi$
$798$	−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	−0.823565	−	0.567223i	$-0.808018\pi$
$809$	−0.842151	+	1.15912i	−0.0296085	+	0.0407525i	0.793956	+	0.607975i	$0.208018\pi$
$810$	1.66021	+	2.69141i	0.0583339	+	0.0945666i
$811$	11.2040	+	15.4209i	0.393425	+	0.541503i	0.959079	−	0.283140i	$-0.0913761\pi$
$811$	11.2040	+	15.4209i	0.393425	+	0.541503i	−0.565654	+	0.824643i	$0.691376\pi$
$812$	−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	−0.539312	−	0.842106i	$-0.681316\pi$
$821$	11.2314	−	34.5666i	0.391978	−	1.20638i	0.931290	−	0.364278i	$-0.118684\pi$
$822$	−11.7316	+	3.10709i	−0.409187	+	0.108372i
$823$	38.2611	+	6.05996i	1.33370	+	0.211237i	0.782246	−	0.622970i	$-0.214074\pi$
$823$	38.2611	+	6.05996i	1.33370	+	0.211237i	0.551452	+	0.834207i	$0.314074\pi$
$824$	−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	−0.635752	−	0.771894i	$-0.719310\pi$
$827$	5.96468	−	37.6595i	0.207412	−	1.30955i	0.843164	−	0.537656i	$-0.180690\pi$
$828$	6.80178	−	0.316969i	0.236378	−	0.0110154i
$829$	38.8788	+	12.6325i	1.35032	+	0.438745i	0.892799	−	0.450455i	$-0.148738\pi$
$829$	38.8788	+	12.6325i	1.35032	+	0.438745i	0.457519	+	0.889200i	$0.348738\pi$
$830$	−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	−0.913222	−	0.407461i	$-0.866414\pi$
$839$	−23.4014	+	17.0021i	−0.807905	+	0.586977i	0.105318	+	0.994439i	$0.466414\pi$
$840$	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	−0.949778	−	0.312926i	$-0.898691\pi$
$853$	−18.8285	−	36.9530i	−0.644675	−	1.26525i	0.305103	−	0.952319i	$-0.401309\pi$
$854$	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	0.941593	−	0.336754i	$-0.109329\pi$
$857$	17.7064	+	17.7064i	0.604839	+	0.604839i	−0.336754	+	0.941593i	$0.609329\pi$
$858$	7.58429	−	9.31055i	0.258924	−	0.317857i
$859$	−4.27825	−	3.10833i	−0.145972	−	0.106055i	0.512402	−	0.858745i	$-0.328756\pi$
$859$	−4.27825	−	3.10833i	−0.145972	−	0.106055i	−0.658374	+	0.752691i	$0.728756\pi$
$860$	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	0.843156	+	0.537668i	$0.180695\pi$
$863$	6.09322	+	38.4711i	0.207416	+	1.30957i	−0.635741	+	0.771903i	$0.719305\pi$
$864$	−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	0.515706	−	0.856766i	$-0.327530\pi$
$877$	21.9564	+	3.47756i	0.741416	+	0.117429i	0.225710	+	0.974195i	$0.427530\pi$
$878$	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	0.971222	−	0.238174i	$-0.0765490\pi$
$881$	1.35026	+	4.15569i	0.0454916	+	0.140009i	−0.925731	+	0.378183i	$0.876549\pi$
$882$	−22.2193	+	14.3380i	−0.748162	+	0.482787i
$883$	−11.2399	+	22.0596i	−0.378254	+	0.742365i	−0.999137	−	0.0415385i	$-0.986774\pi$
$883$	−11.2399	+	22.0596i	−0.378254	+	0.742365i	0.620883	+	0.783903i	$0.286774\pi$
$884$	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	0.246053	−	0.969256i	$-0.420866\pi$
$887$	23.2179	−	3.67735i	0.779581	−	0.123473i	0.533527	+	0.845783i	$0.320866\pi$
$888$	−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	−0.360245	−	0.932858i	$-0.617307\pi$
$907$	17.2451	−	17.2451i	0.572613	−	0.572613i	0.932858	+	0.360245i	$0.117307\pi$
$908$	−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	0.932702	−	0.360649i	$-0.117445\pi$
$911$	9.09960	+	12.5245i	0.301483	+	0.414956i	−0.631218	+	0.775605i	$0.717445\pi$
$912$	−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	0.929215	−	0.369539i	$-0.120484\pi$
$919$	−1.20487	−	3.70821i	−0.0397450	−	0.122323i	−0.968960	+	0.247216i	$0.920484\pi$
$920$	−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	0.863682	−	0.504037i	$-0.168153\pi$
$929$	38.5916	+	12.5392i	1.26615	+	0.411397i	0.402468	+	0.915434i	$0.368153\pi$
$930$	−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	0.990547	−	0.137172i	$-0.0438012\pi$
$937$	0.186494	+	1.17748i	0.00609250	+	0.0384665i	−0.984455	+	0.175638i	$0.943801\pi$
$938$	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	−0.100915	−	0.994895i	$-0.532177\pi$
$941$	−33.0777	−	24.0323i	−1.07830	−	0.783432i	−0.977386	+	0.211463i	$0.932177\pi$
$942$	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	0.992253	−	0.124236i	$-0.0396480\pi$
$947$	9.49396	+	18.6329i	0.308512	+	0.605489i	−0.683741	+	0.729725i	$0.739648\pi$
$948$	−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	−0.994802	−	0.101825i	$-0.967532\pi$
$953$	−15.2023	−	29.8361i	−0.492450	−	0.966488i	0.502352	−	0.864663i	$-0.332468\pi$
$954$	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	0.972747	−	0.231868i	$-0.0744838\pi$
$967$	42.1959	+	21.4999i	1.35693	+	0.691390i	0.384181	+	0.923258i	$0.374484\pi$
$968$	−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	0.346932	−	0.937890i	$-0.387224\pi$
$971$	2.37842	+	0.772795i	0.0763271	+	0.0248002i	−0.270605	+	0.962691i	$0.587224\pi$
$972$	−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	−0.353321	−	0.935502i	$-0.614948\pi$
$977$	−30.5830	−	4.84387i	−0.978436	−	0.154969i	−0.625114	+	0.780533i	$0.714948\pi$
$978$	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	−0.559417	−	0.828887i	$-0.688975\pi$
$983$	13.7947	−	27.0737i	0.439983	−	0.863516i	0.999400	−	0.0346297i	$-0.0110252\pi$
$984$	−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	−0.769007	−	0.639240i	$-0.779249\pi$
$991$	2.41083	−	3.31822i	0.0765826	−	0.105407i	0.845590	+	0.533833i	$0.179249\pi$
$992$	−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	−0.769825	−	0.638255i	$-0.779656\pi$
$997$	−22.2908	+	11.3577i	−0.705957	+	0.359703i	0.0638675	+	0.997958i	$0.479656\pi$
$998$	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.127.20	yes	240
3.2	odd	2		900.2.bj.f.127.11		240
4.3	odd	2	inner	300.2.w.a.127.16	✓	240
12.11	even	2		900.2.bj.f.127.15		240
25.13	odd	20	inner	300.2.w.a.163.16	yes	240
75.38	even	20		900.2.bj.f.163.15		240
100.63	even	20	inner	300.2.w.a.163.20	yes	240
300.263	odd	20		900.2.bj.f.163.11		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.w.a.127.16	✓	240	4.3	odd	2	inner
300.2.w.a.127.20	yes	240	1.1	even	1	trivial
300.2.w.a.163.16	yes	240	25.13	odd	20	inner
300.2.w.a.163.20	yes	240	100.63	even	20	inner
900.2.bj.f.127.11		240	3.2	odd	2
900.2.bj.f.127.15		240	12.11	even	2
900.2.bj.f.163.11		240	300.263	odd	20
900.2.bj.f.163.15		240	75.38	even	20

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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