LMFDB - Embedded newform 930.2.bo.b.179.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(179,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 15, 13]))

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

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

chi := DirichletCharacter("930.179");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bo (of order $30$, 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:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$256$
Relative dimension:	$32$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			179.7
Character	$\chi$	$=$	930.179
Dual form			930.2.bo.b.239.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 - 0.951057i) q^{2} +(-1.32355 + 1.11724i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.575623 + 2.16071i) q^{5} +(1.47156 + 0.913521i) q^{6} +(-1.66082 + 3.73026i) q^{7} +(0.809017 + 0.587785i) q^{8} +(0.503549 - 2.95744i) q^{9} +O(q^{10})$	\(q+(-0.309017 - 0.951057i) q^{2} +(-1.32355 + 1.11724i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.575623 + 2.16071i) q^{5} +(1.47156 + 0.913521i) q^{6} +(-1.66082 + 3.73026i) q^{7} +(0.809017 + 0.587785i) q^{8} +(0.503549 - 2.95744i) q^{9} +(2.23283 - 0.120245i) q^{10} +(0.537138 + 5.11053i) q^{11} +(0.414074 - 1.68183i) q^{12} +(1.93083 + 2.14441i) q^{13} +(4.06091 + 0.426819i) q^{14} +(-1.65217 - 3.50291i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-1.39807 - 0.146943i) q^{17} +(-2.96830 + 0.434995i) q^{18} +(-1.29842 + 1.44204i) q^{19} +(-0.804343 - 2.08639i) q^{20} +(-1.96943 - 6.79271i) q^{21} +(4.69441 - 2.09009i) q^{22} +(2.32355 - 3.19809i) q^{23} +(-1.72747 + 0.125905i) q^{24} +(-4.33732 - 2.48751i) q^{25} +(1.44279 - 2.49899i) q^{26} +(2.63770 + 4.47689i) q^{27} +(-0.848962 - 3.99405i) q^{28} +(-1.63268 - 5.02488i) q^{29} +(-2.82091 + 2.65376i) q^{30} +(4.18256 + 3.67507i) q^{31} -1.00000 q^{32} +(-6.42061 - 6.16390i) q^{33} +(0.292276 + 1.37505i) q^{34} +(-7.10400 - 5.73577i) q^{35} +(1.33096 + 2.68860i) q^{36} +(2.92605 + 5.06807i) q^{37} +(1.77269 + 0.789253i) q^{38} +(-4.95136 - 0.681017i) q^{39} +(-1.73572 + 1.40971i) q^{40} +(-0.459568 + 2.16210i) q^{41} +(-5.85167 + 3.97210i) q^{42} +(-7.82022 + 8.68524i) q^{43} +(-3.43845 - 3.81878i) q^{44} +(6.10030 + 2.79039i) q^{45} +(-3.75958 - 1.22156i) q^{46} +(2.82288 - 8.68792i) q^{47} +(0.653560 + 1.60401i) q^{48} +(-6.47263 - 7.18858i) q^{49} +(-1.02546 + 4.89371i) q^{50} +(2.01458 - 1.36749i) q^{51} +(-2.82253 - 0.599946i) q^{52} +(-5.36950 - 12.0601i) q^{53} +(3.44268 - 3.89204i) q^{54} +(-11.3515 - 1.78114i) q^{55} +(-3.53623 + 2.04164i) q^{56} +(0.107412 - 3.35925i) q^{57} +(-4.27442 + 3.10555i) q^{58} +(-1.33230 - 6.26799i) q^{59} +(3.39559 + 1.86279i) q^{60} +8.33269i q^{61} +(2.20272 - 5.11351i) q^{62} +(10.1957 + 6.79014i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-5.74487 + 2.93759i) q^{65} +(-3.87814 + 8.01112i) q^{66} +(-0.0874105 - 0.0504665i) q^{67} +(1.21743 - 0.702884i) q^{68} +(0.497712 + 6.82879i) q^{69} +(-3.25979 + 8.52876i) q^{70} +(2.95418 + 6.63519i) q^{71} +(2.14572 - 2.09664i) q^{72} +(-0.821639 - 7.81737i) q^{73} +(3.91582 - 4.34896i) q^{74} +(8.51978 - 1.55349i) q^{75} +(0.202833 - 1.92982i) q^{76} +(-19.9557 - 6.48400i) q^{77} +(0.882369 + 4.91947i) q^{78} +(9.80520 + 1.03057i) q^{79} +(1.87708 + 1.21515i) q^{80} +(-8.49288 - 2.97843i) q^{81} +(2.19829 - 0.231050i) q^{82} +(-1.32990 + 6.25667i) q^{83} +(5.58596 + 4.33782i) q^{84} +(1.12226 - 2.93623i) q^{85} +(10.6767 + 4.75359i) q^{86} +(7.77493 + 4.82656i) q^{87} +(-2.56934 + 4.45022i) q^{88} +(7.87277 - 5.71990i) q^{89} +(0.768722 - 6.66401i) q^{90} +(-11.2060 + 3.64104i) q^{91} +3.95306i q^{92} +(-9.64176 - 0.191204i) q^{93} -9.13502 q^{94} +(-2.36842 - 3.63557i) q^{95} +(1.32355 - 1.11724i) q^{96} +(-2.08642 - 2.87171i) q^{97} +(-4.83660 + 8.37723i) q^{98} +(15.3845 + 0.984846i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) $ 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9	$ 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) $ 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9 - 2 * q^10 - 10 * q^15 - 64 * q^16 + 6 * q^17 + 6 * q^18 - 4 * q^19 - 3 * q^20 - 20 * q^23 - 2 * q^25 + 42 * q^31 - 256 * q^32 - 8 * q^33 + 14 * q^34 + 16 * q^35 + 4 * q^36 - 36 * q^38 + 8 * q^39 + 3 * q^40 + 55 * q^45 - 10 * q^46 + 6 * q^47 - 40 * q^49 + 7 * q^50 + 68 * q^51 + 34 * q^53 + 6 * q^57 + 10 * q^60 - 2 * q^62 + 72 * q^63 - 64 * q^64 + 8 * q^66 + 6 * q^68 + 10 * q^69 - 16 * q^70 + 6 * q^72 - 80 * q^75 - 24 * q^76 - 100 * q^77 - 8 * q^78 + 40 * q^79 + 2 * q^80 + 12 * q^81 + 26 * q^83 - 30 * q^85 - 16 * q^87 - 25 * q^90 - 20 * q^91 + 22 * q^93 + 4 * q^94 - 56 * q^95 - 130 * q^98 + 102 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{30}\right)$

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 $

$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$3$	−1.32355	+	1.11724i	−0.764150	+	0.645039i
$3$	−1.32355	+	1.11724i	−0.764150	+	0.645039i
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	−0.575623	+	2.16071i	−0.257427	+	0.966298i
$5$	−0.575623	+	2.16071i	−0.257427	+	0.966298i
$6$	1.47156	+	0.913521i	0.600761	+	0.372943i
$7$	−1.66082	+	3.73026i	−0.627731	+	1.40991i	0.267173	+	0.963649i	$0.413910\pi$
$7$	−1.66082	+	3.73026i	−0.627731	+	1.40991i	−0.894904	+	0.446259i	$0.852756\pi$
$8$	0.809017	+	0.587785i	0.286031	+	0.207813i
$9$	0.503549	−	2.95744i	0.167850	−	0.985813i
$10$	2.23283	−	0.120245i	0.706084	−	0.0380248i
$11$	0.537138	+	5.11053i	0.161953	+	1.54088i	0.709860	+	0.704342i	$0.248758\pi$
$11$	0.537138	+	5.11053i	0.161953	+	1.54088i	−0.547907	+	0.836539i	$0.684575\pi$
$12$	0.414074	−	1.68183i	0.119533	−	0.485502i
$13$	1.93083	+	2.14441i	0.535516	+	0.594751i	0.948810	−	0.315847i	$-0.102288\pi$
$13$	1.93083	+	2.14441i	0.535516	+	0.594751i	−0.413294	+	0.910598i	$0.635622\pi$
$14$	4.06091	+	0.426819i	1.08532	+	0.114072i
$15$	−1.65217	−	3.50291i	−0.426587	−	0.904446i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−1.39807	−	0.146943i	−0.339081	−	0.0356389i	−0.0665422	−	0.997784i	$-0.521197\pi$
$17$	−1.39807	−	0.146943i	−0.339081	−	0.0356389i	−0.272539	+	0.962145i	$0.587863\pi$
$18$	−2.96830	+	0.434995i	−0.699634	+	0.102529i
$19$	−1.29842	+	1.44204i	−0.297877	+	0.330826i	−0.873440	−	0.486931i	$-0.838116\pi$
$19$	−1.29842	+	1.44204i	−0.297877	+	0.330826i	0.575563	+	0.817757i	$0.304783\pi$
$20$	−0.804343	−	2.08639i	−0.179857	−	0.466531i
$21$	−1.96943	−	6.79271i	−0.429764	−	1.48229i
$22$	4.69441	−	2.09009i	1.00085	−	0.445608i
$23$	2.32355	−	3.19809i	0.484494	−	0.666848i	−0.494867	−	0.868969i	$-0.664783\pi$
$23$	2.32355	−	3.19809i	0.484494	−	0.666848i	0.979361	+	0.202120i	$0.0647832\pi$
$24$	−1.72747	+	0.125905i	−0.352618	+	0.0257003i
$25$	−4.33732	−	2.48751i	−0.867463	−	0.497501i
$26$	1.44279	−	2.49899i	0.282955	−	0.490092i
$27$	2.63770	+	4.47689i	0.507625	+	0.861578i
$28$	−0.848962	−	3.99405i	−0.160439	−	0.754805i
$29$	−1.63268	−	5.02488i	−0.303181	−	0.933096i	−0.980350	−	0.197268i	$-0.936793\pi$
$29$	−1.63268	−	5.02488i	−0.303181	−	0.933096i	0.677168	−	0.735828i	$-0.263207\pi$
$30$	−2.82091	+	2.65376i	−0.515026	+	0.484508i
$31$	4.18256	+	3.67507i	0.751210	+	0.660063i
$31$	4.18256	+	3.67507i	0.751210	+	0.660063i
$32$	−1.00000			−0.176777
$33$	−6.42061	−	6.16390i	−1.11768	−	1.07300i
$34$	0.292276	+	1.37505i	0.0501249	+	0.235819i
$35$	−7.10400	−	5.73577i	−1.20080	−	0.969523i
$36$	1.33096	+	2.68860i	0.221827	+	0.448099i
$37$	2.92605	+	5.06807i	0.481040	+	0.833185i	0.999763	−	0.0217569i	$-0.00692598\pi$
$37$	2.92605	+	5.06807i	0.481040	+	0.833185i	−0.518724	+	0.854942i	$0.673593\pi$
$38$	1.77269	+	0.789253i	0.287569	+	0.128034i
$39$	−4.95136	−	0.681017i	−0.792852	−	0.109050i
$40$	−1.73572	+	1.40971i	−0.274442	+	0.222894i
$41$	−0.459568	+	2.16210i	−0.0717724	+	0.337663i	−0.999353	−	0.0359599i	$-0.988551\pi$
$41$	−0.459568	+	2.16210i	−0.0717724	+	0.337663i	0.927581	+	0.373623i	$0.121884\pi$
$42$	−5.85167	+	3.97210i	−0.902932	+	0.612908i
$43$	−7.82022	+	8.68524i	−1.19257	+	1.32449i	−0.259095	+	0.965852i	$0.583424\pi$
$43$	−7.82022	+	8.68524i	−1.19257	+	1.32449i	−0.933478	+	0.358634i	$0.883243\pi$
$44$	−3.43845	−	3.81878i	−0.518365	−	0.575703i
$45$	6.10030	+	2.79039i	0.909380	+	0.415967i
$46$	−3.75958	−	1.22156i	−0.554320	−	0.180110i
$47$	2.82288	−	8.68792i	0.411759	−	1.26726i	−0.503359	−	0.864077i	$-0.667903\pi$
$47$	2.82288	−	8.68792i	0.411759	−	1.26726i	0.915118	−	0.403186i	$-0.132097\pi$
$48$	0.653560	+	1.60401i	0.0943333	+	0.231519i
$49$	−6.47263	−	7.18858i	−0.924661	−	1.02694i
$50$	−1.02546	+	4.89371i	−0.145021	+	0.692076i
$51$	2.01458	−	1.36749i	0.282097	−	0.191487i
$52$	−2.82253	−	0.599946i	−0.391414	−	0.0831976i
$53$	−5.36950	−	12.0601i	−0.737557	−	1.65658i	−0.754136	−	0.656718i	$-0.771944\pi$
$53$	−5.36950	−	12.0601i	−0.737557	−	1.65658i	0.0165790	−	0.999863i	$-0.494723\pi$
$54$	3.44268	−	3.89204i	0.468490	−	0.529639i
$55$	−11.3515	−	1.78114i	−1.53064	−	0.240169i
$56$	−3.53623	+	2.04164i	−0.472548	+	0.272826i
$57$	0.107412	−	3.35925i	0.0142270	−	0.444943i
$58$	−4.27442	+	3.10555i	−0.561258	+	0.407778i
$59$	−1.33230	−	6.26799i	−0.173451	−	0.816023i	−0.975713	−	0.219051i	$-0.929704\pi$
$59$	−1.33230	−	6.26799i	−0.173451	−	0.816023i	0.802262	−	0.596972i	$-0.203630\pi$
$60$	3.39559	+	1.86279i	0.438368	+	0.240485i
$61$			8.33269i			1.06689i	0.845834	+	0.533446i	$0.179103\pi$
$61$			8.33269i			1.06689i	−0.845834	+	0.533446i	$0.820897\pi$
$62$	2.20272	−	5.11351i	0.279746	−	0.649417i
$63$	10.1957	+	6.79014i	1.28454	+	0.855477i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	−5.74487	+	2.93759i	−0.712563	+	0.364364i
$66$	−3.87814	+	8.01112i	−0.477366	+	0.986100i
$67$	−0.0874105	−	0.0504665i	−0.0106789	−	0.00616546i	0.494651	−	0.869092i	$-0.335296\pi$
$67$	−0.0874105	−	0.0504665i	−0.0106789	−	0.00616546i	−0.505330	+	0.862926i	$0.668629\pi$
$68$	1.21743	−	0.702884i	0.147635	−	0.0852372i
$69$	0.497712	+	6.82879i	0.0599174	+	0.822089i
$70$	−3.25979	+	8.52876i	−0.389619	+	1.01938i
$71$	2.95418	+	6.63519i	0.350596	+	0.787452i	0.999643	+	0.0267038i	$0.00850109\pi$
$71$	2.95418	+	6.63519i	0.350596	+	0.787452i	−0.649047	+	0.760748i	$0.724832\pi$
$72$	2.14572	−	2.09664i	0.252875	−	0.247091i
$73$	−0.821639	−	7.81737i	−0.0961655	−	0.914954i	−0.931139	−	0.364664i	$-0.881184\pi$
$73$	−0.821639	−	7.81737i	−0.0961655	−	0.914954i	0.834974	−	0.550290i	$-0.185483\pi$
$74$	3.91582	−	4.34896i	0.455205	−	0.505556i
$75$	8.51978	−	1.55349i	0.983780	−	0.179382i
$76$	0.202833	−	1.92982i	0.0232665	−	0.221366i
$77$	−19.9557	−	6.48400i	−2.27416	−	0.738920i
$78$	0.882369	+	4.91947i	0.0999086	+	0.557020i
$79$	9.80520	+	1.03057i	1.10317	+	0.115948i	0.638564	−	0.769569i	$-0.279529\pi$
$79$	9.80520	+	1.03057i	1.10317	+	0.115948i	0.464607	+	0.885517i	$0.346196\pi$
$80$	1.87708	+	1.21515i	0.209864	+	0.135857i
$81$	−8.49288	−	2.97843i	−0.943653	−	0.330936i
$82$	2.19829	−	0.231050i	0.242760	−	0.0255152i
$83$	−1.32990	+	6.25667i	−0.145975	+	0.686758i	0.842907	+	0.538059i	$0.180842\pi$
$83$	−1.32990	+	6.25667i	−0.145975	+	0.686758i	−0.988882	+	0.148700i	$0.952491\pi$
$84$	5.58596	+	4.33782i	0.609478	+	0.473295i
$85$	1.12226	−	2.93623i	0.121726	−	0.318479i
$86$	10.6767	+	4.75359i	1.15130	+	0.512593i
$87$	7.77493	+	4.82656i	0.833559	+	0.517462i
$88$	−2.56934	+	4.45022i	−0.273892	+	0.474395i
$89$	7.87277	−	5.71990i	0.834512	−	0.606309i	−0.0863200	−	0.996267i	$-0.527511\pi$
$89$	7.87277	−	5.71990i	0.834512	−	0.606309i	0.920832	+	0.389959i	$0.127511\pi$
$90$	0.768722	−	6.66401i	0.0810304	−	0.702449i
$91$	−11.2060	+	3.64104i	−1.17470	+	0.381684i
$92$			3.95306i			0.412135i
$93$	−9.64176	−	0.191204i	−0.999803	−	0.0198270i
$94$	−9.13502			−0.942206
$95$	−2.36842	−	3.63557i	−0.242995	−	0.373001i
$96$	1.32355	−	1.11724i	0.135084	−	0.114028i
$97$	−2.08642	−	2.87171i	−0.211844	−	0.291578i	0.689851	−	0.723952i	$-0.257676\pi$
$97$	−2.08642	−	2.87171i	−0.211844	−	0.291578i	−0.901694	+	0.432374i	$0.857676\pi$
$98$	−4.83660	+	8.37723i	−0.488570	+	0.846228i
$99$	15.3845	+	0.984846i	1.54620	+	0.0989807i
$100$	4.97108	−	0.536974i	0.497108	−	0.0536974i
$101$	−6.21505	+	8.55428i	−0.618421	+	0.851183i	−0.997237	−	0.0742890i	$-0.976331\pi$
$101$	−6.21505	+	8.55428i	−0.618421	+	0.851183i	0.378816	+	0.925472i	$0.376331\pi$
$102$	−1.92310	−	1.49340i	−0.190415	−	0.147868i
$103$	2.13280	−	10.0340i	0.210151	−	0.988682i	−0.738962	−	0.673747i	$-0.764684\pi$
$103$	2.13280	−	10.0340i	0.210151	−	0.988682i	0.949113	−	0.314935i	$-0.101983\pi$
$104$	0.301625	+	2.86977i	0.0295768	+	0.281405i
$105$	15.8107	−	0.345316i	1.54297	−	0.0336994i
$106$	−9.81056	+	8.83347i	−0.952886	+	0.857982i
$107$	−0.580648	+	5.52450i	−0.0561334	+	0.534073i	0.929934	+	0.367727i	$0.119864\pi$
$107$	−0.580648	+	5.52450i	−0.0561334	+	0.534073i	−0.986067	+	0.166347i	$0.946803\pi$
$108$	−4.76539	−	2.07148i	−0.458550	−	0.199328i
$109$	−4.45888	+	13.7230i	−0.427083	+	1.31443i	0.473902	+	0.880578i	$0.342845\pi$
$109$	−4.45888	+	13.7230i	−0.427083	+	1.31443i	−0.900985	+	0.433850i	$0.857155\pi$
$110$	1.81385	+	11.3464i	0.172944	+	1.08183i
$111$	−9.53501	−	3.43872i	−0.905023	−	0.326389i
$112$	3.03447	+	2.73225i	0.286730	+	0.258173i
$113$	1.13277	+	10.7776i	0.106562	+	1.01387i	0.908904	+	0.417006i	$0.136920\pi$
$113$	1.13277	+	10.7776i	0.106562	+	1.01387i	−0.802342	+	0.596865i	$0.796413\pi$
$114$	−3.22802	+	0.935910i	−0.302332	+	0.0876560i
$115$	5.57265	+	6.86141i	0.519653	+	0.639830i
$116$	4.27442	+	3.10555i	0.396870	+	0.288343i
$117$	7.31421	−	4.63050i	0.676199	−	0.428090i
$118$	−5.54951	+	3.20401i	−0.510874	+	0.294953i
$119$	2.87007	−	4.97111i	0.263099	−	0.455701i
$120$	0.722326	−	3.80503i	0.0659391	−	0.347350i
$121$	−15.0693	+	3.20308i	−1.36994	+	0.291190i
$122$	7.92486	−	2.57494i	0.717483	−	0.233124i
$123$	−1.80732	−	3.37508i	−0.162961	−	0.304321i
$124$	−5.54392	−	0.514750i	−0.497859	−	0.0462259i
$125$	7.87144	−	7.93980i	0.704043	−	0.710158i
$126$	3.30716	−	11.7950i	0.294625	−	1.05078i
$127$	−5.90734	+	1.25564i	−0.524192	+	0.111420i	−0.462405	−	0.886669i	$-0.653013\pi$
$127$	−5.90734	+	1.25564i	−0.524192	+	0.111420i	−0.0617871	+	0.998089i	$0.519680\pi$
$128$	0.809017	−	0.587785i	0.0715077	−	0.0519534i
$129$	0.646929	−	20.2324i	0.0569589	−	1.78136i
$130$	4.56908	+	4.55593i	0.400735	+	0.399581i
$131$	4.61393	−	10.3631i	0.403121	−	0.905424i	−0.591924	−	0.805994i	$-0.701631\pi$
$131$	4.61393	−	10.3631i	0.403121	−	0.905424i	0.995045	−	0.0994303i	$-0.0317020\pi$
$132$	8.81744	+	1.21276i	0.767459	+	0.105557i
$133$	−3.22274	−	7.23840i	−0.279447	−	0.627649i
$134$	−0.0209851	+	0.0987274i	−0.00181284	+	0.00852874i
$135$	−11.1916	+	3.12229i	−0.963217	+	0.268724i
$136$	−1.04469	−	0.940643i	−0.0895814	−	0.0806594i
$137$	10.4455	−	9.40521i	0.892423	−	0.803542i	−0.0888734	−	0.996043i	$-0.528327\pi$
$137$	10.4455	−	9.40521i	0.892423	−	0.803542i	0.981297	+	0.192501i	$0.0616600\pi$
$138$	6.34076	−	2.58356i	0.539761	−	0.219927i
$139$	13.8491	+	4.49984i	1.17466	+	0.381672i	0.830382	−	0.557195i	$-0.188122\pi$
$139$	13.8491	+	4.49984i	1.17466	+	0.381672i	0.344282	+	0.938866i	$0.388122\pi$
$140$	9.11866	+	0.464711i	0.770668	+	0.0392752i
$141$	5.97029	+	14.6527i	0.502789	+	1.23398i
$142$	5.39755	−	4.85997i	0.452952	−	0.407840i
$143$	−9.92192	+	11.0194i	−0.829712	+	0.921489i
$144$	−2.65709	−	1.39280i	−0.221424	−	0.116067i
$145$	11.7971	−	0.635311i	0.979696	−	0.0527597i
$146$	−7.18086	+	3.19712i	−0.594292	+	0.264596i
$147$	16.5982	+	2.28294i	1.36900	+	0.188294i
$148$	−5.34616	−	2.38026i	−0.439452	−	0.195656i
$149$	−3.80886	+	2.19905i	−0.312034	+	0.180153i	−0.647836	−	0.761780i	$-0.724326\pi$
$149$	−3.80886	+	2.19905i	−0.312034	+	0.180153i	0.335802	+	0.941933i	$0.390993\pi$
$150$	−4.11022	−	7.62274i	−0.335598	−	0.622394i
$151$	−11.9831	−	16.4933i	−0.975168	−	1.34220i	−0.939392	−	0.342844i	$-0.888610\pi$
$151$	−11.9831	−	16.4933i	−0.975168	−	1.34220i	−0.0357758	−	0.999360i	$-0.511390\pi$
$152$	−1.89805	+	0.403443i	−0.153952	+	0.0327235i
$153$	−1.13857	+	4.06070i	−0.0920478	+	0.328288i
$154$			20.9827i			1.69083i
$155$	−10.3483	+	6.92184i	−0.831199	+	0.555975i
$156$	4.40603	−	2.35938i	0.352764	−	0.188902i
$157$	15.8682	−	5.15589i	1.26642	−	0.411485i	0.402643	−	0.915357i	$-0.368092\pi$
$157$	15.8682	−	5.15589i	1.26642	−	0.411485i	0.863778	+	0.503872i	$0.168092\pi$
$158$	−2.04984	−	9.64376i	−0.163077	−	0.767216i
$159$	20.5808	+	9.96306i	1.63216	+	0.790122i
$160$	0.575623	−	2.16071i	0.0455070	−	0.170819i
$161$	8.07073	+	13.9789i	0.636062	+	1.10169i
$162$	−0.208209	+	8.99759i	−0.0163584	+	0.706918i
$163$	3.62853	−	4.99425i	0.284209	−	0.391180i	−0.642914	−	0.765939i	$-0.722275\pi$
$163$	3.62853	−	4.99425i	0.284209	−	0.391180i	0.927122	+	0.374759i	$0.122275\pi$
$164$	−0.899050	−	2.01930i	−0.0702040	−	0.157681i
$165$	17.0142	−	10.3250i	1.32456	−	0.803798i
$166$	6.36140	−	0.668611i	0.493741	−	0.0518942i
$167$	−9.73422	−	8.76473i	−0.753256	−	0.678235i	0.200204	−	0.979754i	$-0.435840\pi$
$167$	−9.73422	−	8.76473i	−0.753256	−	0.678235i	−0.953460	+	0.301519i	$0.902506\pi$
$168$	2.39935	−	6.65302i	0.185114	−	0.513292i
$169$	0.488505	−	4.64781i	0.0375773	−	0.357524i
$170$	−3.13932	−	0.159988i	−0.240775	−	0.0122705i
$171$	3.61092	+	4.56612i	0.276134	+	0.349180i
$172$	1.22164	−	11.6231i	0.0931491	−	0.886254i
$173$	−3.10334	−	3.44661i	−0.235943	−	0.262041i	0.613533	−	0.789669i	$-0.289748\pi$
$173$	−3.10334	−	3.44661i	−0.235943	−	0.262041i	−0.849475	+	0.527629i	$0.823081\pi$
$174$	2.18775	−	8.88588i	0.165853	−	0.673637i
$175$	16.4826	−	12.0480i	1.24596	−	0.910745i
$176$	5.02638	+	1.06839i	0.378878	+	0.0805330i
$177$	8.76622	+	6.80747i	0.658909	+	0.511681i
$178$	−7.87277	−	5.71990i	−0.590089	−	0.428725i
$179$	2.01928	+	0.899041i	0.150928	+	0.0671975i	0.480811	−	0.876824i	$-0.340342\pi$
$179$	2.01928	+	0.899041i	0.150928	+	0.0671975i	−0.329882	+	0.944022i	$0.607009\pi$
$180$	−6.57540	+	1.32820i	−0.490101	+	0.0989978i
$181$	16.0285	+	9.25408i	1.19139	+	0.687851i	0.958622	−	0.284681i	$-0.0918877\pi$
$181$	16.0285	+	9.25408i	1.19139	+	0.687851i	0.232770	+	0.972532i	$0.425221\pi$
$182$	6.92567	+	9.53236i	0.513364	+	0.706586i
$183$	−9.30962	−	11.0287i	−0.688187	−	0.815265i
$184$	3.75958	−	1.22156i	0.277160	−	0.0900548i
$185$	−12.6349	+	3.40504i	−0.928937	+	0.250344i
$186$	2.79762	+	9.22894i	0.205131	+	0.676699i
$187$		−	7.22379i		−	0.528256i
$188$	2.82288	+	8.68792i	0.205880	+	0.633632i
$189$	−21.0807	+	2.40400i	−1.53340	+	0.174865i
$190$	−2.72575	+	3.37596i	−0.197747	+	0.244918i
$191$	1.68110	+	0.970583i	0.121640	+	0.0702289i	0.559586	−	0.828773i	$-0.310960\pi$
$191$	1.68110	+	0.970583i	0.121640	+	0.0702289i	−0.437945	+	0.899002i	$0.644294\pi$
$192$	−1.47156	−	0.913521i	−0.106200	−	0.0659277i
$193$	3.13342	−	7.03777i	0.225548	−	0.506590i	−0.764954	−	0.644085i	$-0.777238\pi$
$193$	3.13342	−	7.03777i	0.225548	−	0.506590i	0.990502	+	0.137495i	$0.0439050\pi$
$194$	−2.08642	+	2.87171i	−0.149796	+	0.206177i
$195$	4.32160	−	10.3064i	0.309476	−	0.738059i
$196$	9.46181	+	2.01117i	0.675843	+	0.143655i
$197$	−11.8257	+	1.24293i	−0.842548	+	0.0885553i	−0.515961	−	0.856612i	$-0.672565\pi$
$197$	−11.8257	+	1.24293i	−0.842548	+	0.0885553i	−0.326587	+	0.945167i	$0.605898\pi$
$198$	−3.81744	−	14.9359i	−0.271294	−	1.06145i
$199$	−8.10322	+	7.29617i	−0.574422	+	0.517212i	−0.904349	−	0.426795i	$-0.859643\pi$
$199$	−8.10322	+	7.29617i	−0.574422	+	0.517212i	0.329926	+	0.944007i	$0.392976\pi$
$200$	−2.04684	−	4.56185i	−0.144734	−	0.322571i
$201$	0.172075	−	0.0308638i	0.0121372	−	0.00217697i
$202$	10.0562	+	3.26745i	0.707549	+	0.229897i
$203$	21.4557	+	2.25509i	1.50590	+	0.158276i
$204$	−0.826036	+	2.29046i	−0.0578341	+	0.160364i
$205$	−4.40712	−	2.23754i	−0.307807	−	0.156277i
$206$	−10.2020	+	1.07227i	−0.710807	+	0.0747088i
$207$	−8.28814	−	8.48215i	−0.576065	−	0.589550i
$208$	2.63611	−	1.17367i	0.182781	−	0.0813795i
$209$	−8.06700	−	5.86102i	−0.558006	−	0.405415i
$210$	−5.21419	−	14.9302i	−0.359814	−	1.03028i
$211$	7.77219	+	13.4618i	0.535060	+	0.926751i	0.999160	+	0.0409685i	$0.0130443\pi$
$211$	7.77219	+	13.4618i	0.535060	+	0.926751i	−0.464100	+	0.885783i	$0.653622\pi$
$212$	11.4328	+	6.60071i	0.785205	+	0.453338i
$213$	−11.3231	−	5.48145i	−0.775845	−	0.375583i
$214$	5.43354	−	1.15493i	0.371429	−	0.0789497i
$215$	−14.2648	−	21.8966i	−0.972848	−	1.49334i
$216$	−0.497507	+	5.17228i	−0.0338510	+	0.351929i
$217$	−20.6555	+	9.49842i	−1.40219	+	0.644795i
$218$	14.4292			0.977272
$219$	9.82136	+	9.42868i	0.663666	+	0.637131i
$220$	10.2305	−	5.23130i	0.689741	−	0.352694i
$221$	−2.38433	−	3.28175i	−0.160387	−	0.220754i
$222$	−0.323937	+	10.1310i	−0.0217412	+	0.679945i
$223$	10.8661	+	18.8207i	0.727649	+	1.26032i	0.957875	+	0.287187i	$0.0927201\pi$
$223$	10.8661	+	18.8207i	0.727649	+	1.26032i	−0.230226	+	0.973137i	$0.573947\pi$
$224$	1.66082	−	3.73026i	0.110968	−	0.249239i
$225$	−9.54070	+	11.5748i	−0.636046	+	0.771651i
$226$	9.90005	−	4.40779i	0.658542	−	0.293202i
$227$	8.73643	+	1.85699i	0.579858	+	0.123253i	0.488497	−	0.872565i	$-0.337545\pi$
$227$	8.73643	+	1.85699i	0.579858	+	0.123253i	0.0913602	+	0.995818i	$0.470879\pi$
$228$	1.88762	+	2.78082i	0.125011	+	0.184164i
$229$	−9.02454	−	8.12574i	−0.596359	−	0.536964i	0.314726	−	0.949182i	$-0.398087\pi$
$229$	−9.02454	−	8.12574i	−0.596359	−	0.536964i	−0.911085	+	0.412219i	$0.864754\pi$
$230$	4.80354	−	7.42020i	0.316736	−	0.489273i
$231$	33.6565	−	13.7134i	2.21443	−	0.902278i
$232$	1.63268	−	5.02488i	0.107191	−	0.329899i
$233$	−6.01295	+	18.5060i	−0.393922	+	1.21237i	0.535877	+	0.844296i	$0.319981\pi$
$233$	−6.01295	+	18.5060i	−0.393922	+	1.21237i	−0.929798	+	0.368070i	$0.880019\pi$
$234$	−6.66409	−	5.52533i	−0.435645	−	0.361202i
$235$	17.1472	+	11.1004i	1.11856	+	0.724109i
$236$	4.76209	+	4.28780i	0.309986	+	0.279112i
$237$	−14.1290	+	9.59076i	−0.917779	+	0.622987i
$238$	−5.61471	−	1.19344i	−0.363948	−	0.0773595i
$239$	−17.4290	+	7.75990i	−1.12739	+	0.501946i	−0.883769	−	0.467924i	$-0.845002\pi$
$239$	−17.4290	+	7.75990i	−1.12739	+	0.501946i	−0.243621	+	0.969871i	$0.578335\pi$
$240$	−3.84201	+	0.488845i	−0.248001	+	0.0315548i
$241$	−3.73082	+	8.37955i	−0.240323	+	0.539774i	−0.992931	−	0.118695i	$-0.962129\pi$
$241$	−3.73082	+	8.37955i	−0.240323	+	0.539774i	0.752608	+	0.658469i	$0.228796\pi$
$242$	7.70299	+	13.3420i	0.495167	+	0.857655i
$243$	14.5683	−	5.54650i	0.934559	−	0.355808i
$244$	−4.89783	−	6.74129i	−0.313552	−	0.431567i
$245$	19.2582	−	9.84754i	1.23036	−	0.629136i
$246$	−2.65140	+	2.76182i	−0.169047	+	0.176087i
$247$	−5.59934			−0.356277
$248$	1.22361	+	5.43165i	0.0776993	+	0.344910i
$249$	−5.23002	−	9.76680i	−0.331439	−	0.618946i
$250$	−9.98361	−	5.03265i	−0.631419	−	0.318292i
$251$	4.25583	−	0.904604i	0.268626	−	0.0570981i	−0.0716295	−	0.997431i	$-0.522820\pi$
$251$	4.25583	−	0.904604i	0.268626	−	0.0570981i	0.340255	+	0.940333i	$0.389487\pi$
$252$	−12.2397	+	0.499553i	−0.771026	+	0.0314689i
$253$	17.5920	+	10.1567i	1.10600	+	0.638549i
$254$	3.01966	+	5.23020i	0.189470	+	0.328172i
$255$	1.79511	+	5.14007i	0.112414	+	0.321884i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	19.1024	−	8.50493i	1.19157	−	0.530523i	0.287451	−	0.957795i	$-0.407192\pi$
$257$	19.1024	−	8.50493i	1.19157	−	0.530523i	0.904123	+	0.427272i	$0.140525\pi$
$258$	−19.4420	+	5.63688i	−1.21041	+	0.350937i
$259$	−23.7649	+	2.49779i	−1.47668	+	0.155205i
$260$	2.92102	−	5.75331i	0.181154	−	0.356805i
$261$	−15.6829	+	2.29828i	−0.970747	+	0.142260i
$262$	−11.2816	−	1.18575i	−0.696982	−	0.0732557i
$263$	20.1504	+	6.54727i	1.24253	+	0.403722i	0.855238	−	0.518236i	$-0.173411\pi$
$263$	20.1504	+	6.54727i	1.24253	+	0.403722i	0.387290	+	0.921958i	$0.373411\pi$
$264$	−1.57133	−	8.76064i	−0.0967088	−	0.539180i
$265$	29.1491	−	4.65985i	1.79062	−	0.286252i
$266$	−5.88825	+	5.30180i	−0.361031	+	0.325074i
$267$	−4.02947	+	16.3663i	−0.246600	+	1.00160i
$268$	0.100380	−	0.0105504i	0.00613169	−	0.000644466i
$269$	−0.0945522	−	0.0200977i	−0.00576495	−	0.00122538i	0.205028	−	0.978756i	$-0.434271\pi$
$269$	−0.0945522	−	0.0200977i	−0.00576495	−	0.00122538i	−0.210793	+	0.977531i	$0.567605\pi$
$270$	6.42786	+	9.67898i	0.391187	+	0.589044i
$271$	−10.4507	+	14.3841i	−0.634835	+	0.873775i	−0.998327	−	0.0578224i	$-0.981584\pi$
$271$	−10.4507	+	14.3841i	−0.634835	+	0.873775i	0.363492	+	0.931597i	$0.381584\pi$
$272$	−0.571777	+	1.28423i	−0.0346691	+	0.0778681i
$273$	10.7637	−	17.3388i	0.651448	−	1.04939i
$274$	−12.1727	−	7.02794i	−0.735382	−	0.424573i
$275$	10.3827	−	23.5021i	0.626102	−	1.41723i
$276$	−4.41652	−	5.23206i	−0.265843	−	0.314933i
$277$	−8.06553	−	24.8231i	−0.484611	−	1.49148i	−0.832544	−	0.553959i	$-0.813116\pi$
$277$	−8.06553	−	24.8231i	−0.484611	−	1.49148i	0.347933	−	0.937519i	$-0.386884\pi$
$278$		−	14.5618i		−	0.873358i
$279$	12.9749	−	10.5191i	0.776789	−	0.629761i
$280$	−2.37586	−	8.81597i	−0.141985	−	0.526855i
$281$	−15.9398	+	5.17914i	−0.950887	+	0.308962i	−0.743076	−	0.669207i	$-0.766634\pi$
$281$	−15.9398	+	5.17914i	−0.950887	+	0.308962i	−0.207811	+	0.978169i	$0.566634\pi$
$282$	12.0906	−	10.2060i	0.719986	−	0.607759i
$283$	−2.34863	−	3.23261i	−0.139611	−	0.192159i	0.733486	−	0.679705i	$-0.237892\pi$
$283$	−2.34863	−	3.23261i	−0.139611	−	0.192159i	−0.873097	+	0.487546i	$0.837892\pi$
$284$	−6.29004	−	3.63156i	−0.373245	−	0.215493i
$285$	7.19652	+	2.16575i	0.426285	+	0.128288i
$286$	13.5461	+	6.03112i	0.800999	+	0.356628i
$287$	−7.30193	−	5.30516i	−0.431019	−	0.313154i
$288$	−0.503549	+	2.95744i	−0.0296719	+	0.174269i
$289$	−14.6955	−	3.12363i	−0.864442	−	0.183743i
$290$	−4.24972	−	11.0234i	−0.249552	−	0.647316i
$291$	5.96986	+	1.46981i	0.349959	+	0.0861616i
$292$	5.25965	+	5.84144i	0.307798	+	0.341844i
$293$	−0.606029	+	5.76598i	−0.0354046	+	0.336852i	0.962454	+	0.271445i	$0.0875014\pi$
$293$	−0.606029	+	5.76598i	−0.0354046	+	0.336852i	−0.997859	+	0.0654075i	$0.979165\pi$
$294$	−2.95792	−	16.4913i	−0.172509	−	0.961791i
$295$	14.3102	+	0.729285i	0.833172	+	0.0424606i
$296$	−0.611711	+	5.82004i	−0.0355550	+	0.338283i
$297$	−21.4625	+	15.8847i	−1.24538	+	0.921726i
$298$	3.26842	+	2.94290i	0.189335	+	0.170478i
$299$	11.3444	−	1.19234i	0.656063	−	0.0689550i
$300$	−5.97953	+	6.26460i	−0.345228	+	0.361687i
$301$	−19.4102	−	43.5961i	−1.11879	−	2.51284i
$302$	−11.9831	+	16.4933i	−0.689548	+	0.949081i
$303$	−1.33128	−	18.2657i	−0.0764802	−	1.04934i
$304$	0.970226	+	1.68048i	0.0556463	+	0.0963822i
$305$	−18.0045	−	4.79649i	−1.03094	−	0.274646i
$306$	4.21380	−	0.171983i	0.240887	−	0.00983163i
$307$	3.71403	+	17.4732i	0.211971	+	0.997246i	0.947501	+	0.319753i	$0.103600\pi$
$307$	3.71403	+	17.4732i	0.211971	+	0.997246i	−0.735530	+	0.677492i	$0.763067\pi$
$308$	19.9557	−	6.48400i	1.13708	−	0.369460i
$309$	8.38756	+	15.6633i	0.477152	+	0.891057i
$310$	9.78087	+	7.70289i	0.555516	+	0.437495i
$311$		−	7.79188i		−	0.441837i	−0.975292	−	0.220918i	$-0.929095\pi$
$311$		−	7.79188i		−	0.441837i	0.975292	−	0.220918i	$-0.0709054\pi$
$312$	−3.60544	−	3.46129i	−0.204118	−	0.195957i
$313$	−15.4623	+	3.28662i	−0.873982	+	0.185771i	−0.623001	−	0.782221i	$-0.714087\pi$
$313$	−15.4623	+	3.28662i	−0.873982	+	0.185771i	−0.250981	+	0.967992i	$0.580753\pi$
$314$	−9.80709	−	13.4983i	−0.553446	−	0.761753i
$315$	−20.5404	+	18.1214i	−1.15732	+	1.02103i
$316$	−8.53833	+	4.92960i	−0.480318	+	0.277312i
$317$	5.41369	+	2.41033i	0.304063	+	0.135378i	0.553096	−	0.833117i	$-0.313446\pi$
$317$	5.41369	+	2.41033i	0.304063	+	0.135378i	−0.249033	+	0.968495i	$0.580113\pi$
$318$	3.11562	−	22.6523i	0.174715	−	1.27028i
$319$	24.8028	−	11.0429i	1.38869	−	0.618284i
$320$	−2.23283	+	0.120245i	−0.124819	+	0.00672191i
$321$	−5.40368	−	7.96065i	−0.301604	−	0.444320i
$322$	10.8007	−	11.9954i	0.601902	−	0.668480i
$323$	2.02717	−	1.82527i	0.112795	−	0.101561i
$324$	8.62156	−	2.58239i	0.478975	−	0.143466i
$325$	−3.04040	−	14.1039i	−0.168651	−	0.782345i
$326$	−5.87109	−	1.90763i	−0.325170	−	0.105654i
$327$	−9.43038	−	23.1447i	−0.521501	−	1.27990i
$328$	−1.64265	+	1.47905i	−0.0907000	+	0.0816666i
$329$	27.7200	+	24.9592i	1.52825	+	1.37604i
$330$	−15.0773	−	12.9909i	−0.829980	−	0.715126i
$331$	−2.35270	+	11.0686i	−0.129316	+	0.608385i	0.864987	+	0.501795i	$0.167327\pi$
$331$	−2.35270	+	11.0686i	−0.129316	+	0.608385i	−0.994303	+	0.106590i	$0.966007\pi$
$332$	−2.60167	−	5.84344i	−0.142785	−	0.320701i
$333$	16.4619	−	6.10159i	0.902107	−	0.334365i
$334$	−5.32771	+	11.9662i	−0.291520	+	0.654764i
$335$	0.159359	−	0.159819i	0.00870671	−	0.00873184i
$336$	−7.06884	−	0.226026i	−0.385637	−	0.0123307i
$337$	3.05931	−	2.22272i	0.166651	−	0.121079i	−0.501334	−	0.865254i	$-0.667157\pi$
$337$	3.05931	−	2.22272i	0.166651	−	0.121079i	0.667985	+	0.744175i	$0.267157\pi$
$338$	−4.57129	+	0.971658i	−0.248645	+	0.0528512i
$339$	−13.5404	−	12.9991i	−0.735415	−	0.706012i
$340$	0.817946	+	3.03511i	0.0443593	+	0.164602i
$341$	−16.5350	+	23.3491i	−0.895418	+	1.26443i
$342$	3.22680	−	4.84520i	0.174486	−	0.261998i
$343$	10.3812	−	3.37304i	0.560530	−	0.182127i
$344$	−11.4317	+	2.42989i	−0.616358	+	0.131011i
$345$	−15.0415	−	2.85540i	−0.809807	−	0.153729i
$346$	−2.31894	+	4.01651i	−0.124667	+	0.215929i
$347$	−24.9828	+	14.4238i	−1.34114	+	0.774310i	−0.986975	−	0.160871i	$-0.948570\pi$
$347$	−24.9828	+	14.4238i	−1.34114	+	0.774310i	−0.354169	+	0.935181i	$0.615236\pi$
$348$	−9.12703	+	0.665218i	−0.489260	+	0.0356594i
$349$	−15.4992	−	11.2608i	−0.829653	−	0.602778i	0.0898082	−	0.995959i	$-0.471375\pi$
$349$	−15.4992	−	11.2608i	−0.829653	−	0.602778i	−0.919461	+	0.393181i	$0.871375\pi$
$350$	−16.5517	−	11.9528i	−0.884728	−	0.638904i
$351$	−4.50732	+	14.3004i	−0.240583	+	0.763300i
$352$	−0.537138	−	5.11053i	−0.0286295	−	0.272392i
$353$	18.9123	+	17.0287i	1.00660	+	0.906346i	0.995610	−	0.0935940i	$-0.0298355\pi$
$353$	18.9123	+	17.0287i	1.00660	+	0.906346i	0.0109884	+	0.999940i	$0.496502\pi$
$354$	3.76538	−	10.4408i	0.200128	−	0.554922i
$355$	−16.0372	+	2.56374i	−0.851166	+	0.136069i
$356$	−3.00713	+	9.25500i	−0.159378	+	0.490514i
$357$	1.75525	+	9.78606i	0.0928979	+	0.517933i
$358$	0.231047	−	2.19827i	0.0122112	−	0.116182i
$359$	−9.73489	+	8.76533i	−0.513788	+	0.462617i	−0.884773	−	0.466022i	$-0.845687\pi$
$359$	−9.73489	+	8.76533i	−0.513788	+	0.462617i	0.370985	+	0.928639i	$0.379020\pi$
$360$	3.29510	+	5.84314i	0.173667	+	0.307961i
$361$	1.59245	+	15.1512i	0.0838134	+	0.797431i
$362$	3.84806	−	18.1037i	0.202250	−	0.951510i
$363$	16.3663	−	21.0755i	0.859010	−	1.10618i
$364$	6.92567	−	9.53236i	0.363004	−	0.499631i
$365$	17.3640	+	2.72454i	0.908874	+	0.142609i
$366$	−7.61209	+	12.2620i	−0.397890	+	0.640947i
$367$	−17.3074	+	29.9773i	−0.903440	+	1.56480i	−0.0804422	+	0.996759i	$0.525633\pi$
$367$	−17.3074	+	29.9773i	−0.903440	+	1.56480i	−0.822998	+	0.568045i	$0.807700\pi$
$368$	−2.32355	−	3.19809i	−0.121123	−	0.166712i
$369$	6.16285	+	2.44786i	0.320825	+	0.127431i
$370$	7.14279	+	10.9643i	0.371336	+	0.570007i
$371$	53.9051			2.79861
$372$	7.91273	−	5.51259i	0.410256	−	0.285815i
$373$			12.1823i			0.630775i	0.948963	+	0.315388i	$0.102134\pi$
$373$			12.1823i			0.630775i	−0.948963	+	0.315388i	$0.897866\pi$
$374$	−6.87023	+	2.23227i	−0.355251	+	0.115428i
$375$	−1.54754	+	19.3030i	−0.0799146	+	0.996802i
$376$	7.39039	−	5.36943i	0.381130	−	0.276907i
$377$	7.62294	−	13.2033i	0.392602	−	0.680006i
$378$	8.80064	+	19.3061i	0.452656	+	0.992998i
$379$	27.3414	+	12.1732i	1.40443	+	0.625293i	0.962383	−	0.271698i	$-0.0875852\pi$
$379$	27.3414	+	12.1732i	1.40443	+	0.625293i	0.442049	+	0.896991i	$0.354252\pi$
$380$	4.05303	+	1.54911i	0.207916	+	0.0794678i
$381$	6.41578	−	8.26183i	0.328691	−	0.423266i
$382$	0.403591	−	1.89875i	0.0206495	−	0.0971484i
$383$	2.90215	−	0.305028i	0.148293	−	0.0155862i	−0.0300911	−	0.999547i	$-0.509580\pi$
$383$	2.90215	−	0.305028i	0.148293	−	0.0155862i	0.178384	+	0.983961i	$0.442913\pi$
$384$	−0.414074	+	1.68183i	−0.0211306	+	0.0858254i
$385$	25.4970	−	39.3861i	1.29945	−	2.00730i
$386$	−7.66160	−	0.805267i	−0.389965	−	0.0409870i
$387$	21.7482	+	27.5013i	1.10552	+	1.39797i
$388$	3.37589	+	1.09689i	0.171385	+	0.0556864i
$389$	−2.07346	+	19.7277i	−0.105129	+	1.00023i	0.807062	+	0.590467i	$0.201056\pi$
$389$	−2.07346	+	19.7277i	−0.105129	+	1.00023i	−0.912190	+	0.409766i	$0.865610\pi$
$390$	−11.1374	−	0.925220i	−0.563967	−	0.0468503i
$391$	−3.71842	+	4.12972i	−0.188048	+	0.208849i
$392$	−1.01112	−	9.62020i	−0.0510695	−	0.485893i
$393$	5.47127	+	18.8708i	0.275989	+	0.951908i
$394$	4.83645	+	10.8628i	0.243657	+	0.547262i
$395$	−7.87086	+	20.5930i	−0.396026	+	1.03614i
$396$	−13.0252	+	8.24605i	−0.654542	+	0.414379i
$397$	−22.4604	+	12.9675i	−1.12725	+	0.650821i	−0.943243	−	0.332103i	$-0.892242\pi$
$397$	−22.4604	+	12.9675i	−1.12725	+	0.650821i	−0.184012	+	0.982924i	$0.558908\pi$
$398$	9.44311	+	5.45198i	0.473340	+	0.273283i
$399$	12.3525	+	5.97978i	0.618398	+	0.299363i
$400$	−3.70606	+	3.35635i	−0.185303	+	0.167818i
$401$	−4.39435	−	13.5244i	−0.219443	−	0.675377i	−0.998808	−	0.0488068i	$-0.984458\pi$
$401$	−4.39435	−	13.5244i	−0.219443	−	0.675377i	0.779365	−	0.626570i	$-0.215542\pi$
$402$	−0.0825274	−	0.154116i	−0.00411609	−	0.00768659i
$403$	0.194972	+	16.0651i	0.00971223	+	0.800258i
$404$		−	10.5737i		−	0.526060i
$405$	11.3242	−	16.6362i	0.562704	−	0.826658i
$406$	−4.48546	−	21.1025i	−0.222610	−	1.04730i
$407$	−24.3288	+	17.6759i	−1.20593	+	0.876162i
$408$	2.43362	+	0.0778148i	0.120482	+	0.00385241i
$409$	20.5916	−	11.8885i	1.01819	−	0.587851i	0.104609	−	0.994513i	$-0.466641\pi$
$409$	20.5916	−	11.8885i	1.01819	−	0.587851i	0.913578	+	0.406663i	$0.133308\pi$
$410$	−0.766156	+	4.88286i	−0.0378378	+	0.241147i
$411$	−3.31728	+	24.1184i	−0.163629	+	1.18967i
$412$	4.17238	+	9.37133i	0.205559	+	0.461692i
$413$	25.5940	+	5.44017i	1.25940	+	0.267693i
$414$	−5.50583	+	10.5036i	−0.270597	+	0.516225i
$415$	−12.7533	−	6.47500i	−0.626035	−	0.317845i
$416$	−1.93083	−	2.14441i	−0.0946668	−	0.105138i
$417$	−23.3573	+	9.51701i	−1.14381	+	0.466050i
$418$	−3.08132	+	9.48332i	−0.150712	+	0.463845i
$419$	−12.6112	−	4.09761i	−0.616095	−	0.200181i	−0.0156893	−	0.999877i	$-0.504994\pi$
$419$	−12.6112	−	4.09761i	−0.616095	−	0.200181i	−0.600406	+	0.799695i	$0.704994\pi$
$420$	−12.5882	+	9.57267i	−0.614239	+	0.467098i
$421$	−13.8109	−	15.3386i	−0.673103	−	0.747557i	0.305752	−	0.952111i	$-0.401092\pi$
$421$	−13.8109	−	15.3386i	−0.673103	−	0.747557i	−0.978855	+	0.204554i	$0.934425\pi$
$422$	10.4012	−	11.5517i	0.506324	−	0.562330i
$423$	−24.2725	−	12.7233i	−1.18017	−	0.618627i
$424$	2.74473	−	12.9129i	0.133296	−	0.627107i
$425$	5.69834	+	4.11504i	0.276410	+	0.199609i
$426$	−1.71415	+	12.4628i	−0.0830506	+	0.603823i
$427$	−31.0831	−	13.8391i	−1.50422	−	0.669721i
$428$	−2.77746	−	4.81071i	−0.134254	−	0.232534i
$429$	0.820792	−	25.6699i	0.0396282	−	1.23935i
$430$	−16.4169	+	20.3330i	−0.791693	+	0.980545i
$431$	8.15604	+	38.3712i	0.392863	+	1.84827i	0.516969	+	0.856004i	$0.327060\pi$
$431$	8.15604	+	38.3712i	0.392863	+	1.84827i	−0.124106	+	0.992269i	$0.539606\pi$
$432$	5.07287	−	1.12517i	0.244069	−	0.0541346i
$433$	8.45587			0.406363			0.203182	−	0.979141i	$-0.434872\pi$
$433$	8.45587			0.406363			0.203182	+	0.979141i	$0.434872\pi$
$434$	15.4164	+	16.7094i	0.740012	+	0.802075i
$435$	−14.9042	+	14.0211i	−0.714602	+	0.672258i
$436$	−4.45888	−	13.7230i	−0.213542	−	0.657214i
$437$	1.59483	+	7.50310i	0.0762912	+	0.358922i
$438$	5.93224	−	12.2543i	0.283454	−	0.585533i
$439$	−15.3976	+	26.6694i	−0.734888	+	1.27286i	0.219885	+	0.975526i	$0.429432\pi$
$439$	−15.3976	+	26.6694i	−0.734888	+	1.27286i	−0.954773	+	0.297337i	$0.903902\pi$
$440$	−8.13666	−	8.11324i	−0.387900	−	0.386784i
$441$	−24.5191	+	15.5226i	−1.16757	+	0.739171i
$442$	−2.38433	+	3.28175i	−0.113411	+	0.156097i
$443$	−28.3987	+	12.6439i	−1.34926	+	0.600730i	−0.948886	−	0.315620i	$-0.897787\pi$
$443$	−28.3987	+	12.6439i	−1.34926	+	0.600730i	−0.400377	+	0.916351i	$0.631121\pi$
$444$	9.73521	−	2.82256i	0.462013	−	0.133953i
$445$	7.82729	+	20.3033i	0.371049	+	0.962467i
$446$	14.5417	−	16.1502i	0.688569	−	0.764733i
$447$	2.58434	−	7.16595i	0.122235	−	0.338938i
$448$	−4.06091	−	0.426819i	−0.191860	−	0.0201653i
$449$	−3.96153	+	12.1923i	−0.186956	+	0.575393i	−0.999977	−	0.00684292i	$-0.997822\pi$
$449$	−3.96153	+	12.1923i	−0.186956	+	0.575393i	0.813020	+	0.582235i	$0.197822\pi$
$450$	13.9565	+	5.49694i	0.657915	+	0.259128i
$451$	−11.2963	−	1.18729i	−0.531922	−	0.0559072i
$452$	−7.25134	−	8.05343i	−0.341074	−	0.378801i
$453$	34.2871	+	8.44165i	1.61095	+	0.396623i
$454$	−0.933608	−	8.88268i	−0.0438164	−	0.416885i
$455$	−1.41681	−	26.3087i	−0.0664209	−	1.23337i
$456$	2.06141	−	2.65455i	0.0965345	−	0.124311i
$457$	−4.56922	−	3.31973i	−0.213739	−	0.155290i	0.475765	−	0.879573i	$-0.342171\pi$
$457$	−4.56922	−	3.31973i	−0.213739	−	0.155290i	−0.689504	+	0.724282i	$0.742171\pi$
$458$	−4.93930	+	11.0938i	−0.230798	+	0.518381i
$459$	−3.02983	−	6.64658i	−0.141421	−	0.310236i
$460$	−8.54141	−	2.27547i	−0.398245	−	0.106094i
$461$	32.4473	−	23.5744i	1.51122	−	1.09797i	0.545591	−	0.838052i	$-0.316305\pi$
$461$	32.4473	−	23.5744i	1.51122	−	1.09797i	0.965631	−	0.259915i	$-0.0836946\pi$
$462$	−23.4427	−	27.7715i	−1.09065	−	1.29205i
$463$	−10.1701	−	31.3003i	−0.472644	−	1.45465i	−0.849109	−	0.528218i	$-0.822860\pi$
$463$	−10.1701	−	31.3003i	−0.472644	−	1.45465i	0.376465	−	0.926431i	$-0.377140\pi$
$464$	−5.28347			−0.245279
$465$	5.96316	−	20.7230i	0.276535	−	0.961004i
$466$	19.4583			0.901389
$467$	4.49260	+	13.8268i	0.207893	+	0.639828i	0.999582	+	0.0289043i	$0.00920179\pi$
$467$	4.49260	+	13.8268i	0.207893	+	0.639828i	−0.791689	+	0.610924i	$0.790798\pi$
$468$	−3.19558	+	8.04534i	−0.147716	+	0.371896i
$469$	0.333427	−	0.242249i	0.0153962	−	0.0111860i
$470$	5.25833	−	19.7381i	0.242549	−	0.910451i
$471$	−15.2419	+	24.5527i	−0.702311	+	1.13133i
$472$	2.60638	−	5.85402i	0.119968	−	0.269453i
$473$	−48.5867	−	35.3003i	−2.23402	−	1.62311i
$474$	13.4875	+	10.4738i	0.619500	+	0.481077i
$475$	9.21872	−	3.02475i	0.422984	−	0.138785i
$476$	0.600009	+	5.70870i	0.0275014	+	0.261658i
$477$	−38.3708	+	9.80712i	−1.75688	+	0.449037i
$478$	12.7660	+	14.1780i	0.583902	+	0.648489i
$479$	3.02795	+	0.318251i	0.138351	+	0.0145413i	0.173451	−	0.984843i	$-0.444508\pi$
$479$	3.02795	+	0.318251i	0.138351	+	0.0145413i	−0.0350999	+	0.999384i	$0.511175\pi$
$480$	1.65217	+	3.50291i	0.0754107	+	0.159885i
$481$	−5.21828	+	16.0602i	−0.237933	+	0.732283i
$482$	9.12231	+	0.958794i	0.415510	+	0.0436719i
$483$	−26.2998	−	9.48479i	−1.19668	−	0.431573i
$484$	10.3086	−	11.4489i	0.468573	−	0.520404i
$485$	7.40591	−	2.85512i	0.336285	−	0.129644i
$486$	−9.77690	−	12.1413i	−0.443489	−	0.550743i
$487$	−38.6706	+	17.2173i	−1.75233	+	0.780189i	−0.761011	+	0.648739i	$0.775297\pi$
$487$	−38.6706	+	17.2173i	−1.75233	+	0.780189i	−0.991323	+	0.131450i	$0.958037\pi$
$488$	−4.89783	+	6.74129i	−0.221715	+	0.305164i
$489$	0.777244	+	10.6641i	0.0351482	+	0.482246i
$490$	−15.3167	−	15.2726i	−0.691937	−	0.689946i
$491$	7.42402	−	12.8588i	0.335041	−	0.580308i	−0.648452	−	0.761256i	$-0.724583\pi$
$491$	7.42402	−	12.8588i	0.335041	−	0.580308i	0.983493	+	0.180947i	$0.0579164\pi$
$492$	3.44598	+	1.66818i	0.155357	+	0.0752074i
$493$	1.54423	+	7.26503i	0.0695486	+	0.327200i
$494$	1.73029	+	5.32529i	0.0778494	+	0.239596i
$495$	−10.9837	+	32.6746i	−0.493679	+	1.46861i
$496$	4.78769	−	2.84219i	0.214973	−	0.127618i
$497$	−29.6574			−1.33031
$498$	−7.67261	+	7.99215i	−0.343818	+	0.358137i
$499$	−1.51129	−	7.11008i	−0.0676548	−	0.318291i	0.931287	−	0.364287i	$-0.118687\pi$
$499$	−1.51129	−	7.11008i	−0.0676548	−	0.318291i	−0.998942	+	0.0459960i	$0.985354\pi$
$500$	−1.70123	+	11.0502i	−0.0760811	+	0.494178i
$501$	22.6760	+	0.725063i	1.01309	+	0.0323934i
$502$	−2.17545	−	3.76800i	−0.0970952	−	0.168174i
$503$	1.13839	+	0.506843i	0.0507582	+	0.0225990i	0.431959	−	0.901893i	$-0.357823\pi$
$503$	1.13839	+	0.506843i	0.0507582	+	0.0225990i	−0.381201	+	0.924492i	$0.624489\pi$
$504$	4.25736	+	11.4862i	0.189638	+	0.511638i
$505$	−14.9058	−	18.3530i	−0.663298	−	0.816696i
$506$	4.22341	−	19.8696i	0.187754	−	0.883311i
$507$	4.54617	+	6.69737i	0.201902	+	0.297441i
$508$	4.04109	−	4.48809i	0.179294	−	0.199127i
$509$	−23.7204	−	26.3442i	−1.05139	−	1.16769i	−0.985468	−	0.169862i	$-0.945668\pi$
$509$	−23.7204	−	26.3442i	−1.05139	−	1.16769i	−0.0659225	−	0.997825i	$-0.520999\pi$
$510$	4.33378	−	3.29562i	0.191903	−	0.145933i
$511$	30.5254	+	9.91832i	1.35037	+	0.438761i
$512$	−0.309017	+	0.951057i	−0.0136568	+	0.0420312i
$513$	−9.88067	−	2.00921i	−0.436242	−	0.0887086i
$514$	−13.9916	−	15.5393i	−0.617144	−	0.685408i
$515$	20.4529	+	10.3842i	0.901263	+	0.457581i
$516$	11.3689	+	16.7486i	0.500489	+	0.737316i
$517$	45.9161	+	9.75977i	2.01939	+	0.429234i
$518$	9.71929	+	21.8299i	0.427041	+	0.959150i
$519$	7.95811	+	1.09457i	0.349322	+	0.0480462i
$520$	−6.37437	−	1.00018i	−0.279534	−	0.0438610i
$521$	−23.9627	+	13.8349i	−1.04982	+	0.606117i	−0.922600	−	0.385757i	$-0.873940\pi$
$521$	−23.9627	+	13.8349i	−1.04982	+	0.606117i	−0.127225	+	0.991874i	$0.540607\pi$
$522$	7.03208	+	14.2051i	0.307786	+	0.621741i
$523$	26.1501	−	18.9991i	1.14346	−	0.830774i	0.155864	−	0.987778i	$-0.450184\pi$
$523$	26.1501	−	18.9991i	1.14346	−	0.830774i	0.987598	+	0.157004i	$0.0501837\pi$
$524$	2.35850	+	11.0959i	0.103032	+	0.484726i
$525$	−8.35489	+	34.3611i	−0.364637	+	1.49964i
$526$		−	21.1874i		−	0.923815i
$527$	−5.30748	−	5.75260i	−0.231197	−	0.250587i
$528$	−7.84630	+	4.20161i	−0.341466	+	0.182852i
$529$	2.27848	+	7.01245i	0.0990644	+	0.304889i
$530$	−13.4394	−	26.2825i	−0.583768	−	1.14164i
$531$	−19.2081	+	0.783964i	−0.833559	+	0.0340212i
$532$	6.86188	+	3.96171i	0.297500	+	0.171762i
$533$	−5.52376	+	3.18914i	−0.239261	+	0.138137i
$534$	16.8105	−	1.22522i	0.727461	−	0.0530205i
$535$	−11.6026	−	4.43464i	−0.501624	−	0.191726i
$536$	−0.0410531	−	0.0922069i	−0.00177323	−	0.00398273i
$537$	−3.67706	+	1.06610i	−0.158677	+	0.0460055i
$538$	0.0101042	+	0.0961350i	0.000435623	+	0.00414468i
$539$	33.2607	−	36.9398i	1.43264	−	1.59111i
$540$	7.21893	−	9.10423i	0.310653	−	0.391784i
$541$	0.514424	−	4.89442i	0.0221168	−	0.210428i	−0.977882	−	0.209156i	$-0.932928\pi$
$541$	0.514424	−	4.89442i	0.0221168	−	0.210428i	0.999999	−	0.00127194i	$-0.000404871\pi$
$542$	16.9096	+	5.49426i	0.726329	+	0.235998i
$543$	−31.5536	+	5.65953i	−1.35409	+	0.242874i
$544$	1.39807	+	0.146943i	0.0599416	+	0.00630012i
$545$	−27.0848	−	17.5336i	−1.16019	−	0.751058i
$546$	−19.8164	−	4.87889i	−0.848063	−	0.208797i
$547$	12.8226	−	1.34771i	0.548256	−	0.0576241i	0.173649	−	0.984808i	$-0.444444\pi$
$547$	12.8226	−	1.34771i	0.548256	−	0.0576241i	0.374607	+	0.927184i	$0.377778\pi$
$548$	−2.92238	+	13.7487i	−0.124838	+	0.587316i
$549$	24.6434	+	4.19592i	1.05176	+	0.179077i
$550$	−25.5603	−	2.61202i	−1.08989	−	0.111377i
$551$	9.36596	+	4.17000i	0.399003	+	0.177648i
$552$	−3.61120	+	5.81715i	−0.153703	+	0.247594i
$553$	−20.1290	+	34.8644i	−0.855971	+	1.48258i
$554$	−21.1158	+	15.3415i	−0.897126	+	0.651800i
$555$	12.9186	−	18.6230i	0.548366	−	0.790501i
$556$	−13.8491	+	4.49984i	−0.587332	+	0.190836i
$557$		−	28.9803i		−	1.22793i	−0.789331	−	0.613967i	$-0.789573\pi$
$557$		−	28.9803i		−	1.22793i	0.789331	−	0.613967i	$-0.210427\pi$
$558$	−14.0137	−	9.08931i	−0.593248	−	0.384781i
$559$	−33.7242			−1.42638
$560$	−7.65030	+	4.98386i	−0.323284	+	0.210606i
$561$	8.07071	+	9.56102i	0.340745	+	0.403666i
$562$	9.85132	+	13.5592i	0.415553	+	0.571959i
$563$	−14.3549	+	24.8635i	−0.604989	+	1.04787i	0.387064	+	0.922053i	$0.373489\pi$
$563$	−14.3549	+	24.8635i	−0.604989	+	1.04787i	−0.992053	+	0.125819i	$0.959844\pi$
$564$	−13.4427	−	8.34504i	−0.566040	−	0.351389i
$565$	−23.9393	−	3.75625i	−1.00713	−	0.158026i
$566$	−2.34863	+	3.23261i	−0.0987202	+	0.135877i
$567$	25.2155	−	26.7340i	1.05895	−	1.12272i
$568$	−1.51009	+	7.10440i	−0.0633618	+	0.298094i
$569$	1.29826	+	12.3521i	0.0544258	+	0.517827i	0.987441	+	0.157989i	$0.0505012\pi$
$569$	1.29826	+	12.3521i	0.0544258	+	0.517827i	−0.933015	+	0.359837i	$0.882832\pi$
$570$	−0.164101	−	7.51355i	−0.00687342	−	0.314708i
$571$	25.3354	−	22.8121i	1.06025	−	0.954656i	0.0611986	−	0.998126i	$-0.480508\pi$
$571$	25.3354	−	22.8121i	1.06025	−	0.954656i	0.999055	+	0.0434692i	$0.0138410\pi$
$572$	1.54996	−	14.7468i	0.0648069	−	0.616596i
$573$	−3.30939	+	0.593580i	−0.138252	+	0.0247972i
$574$	−2.78909	+	8.58393i	−0.116414	+	0.358286i
$575$	−18.0332	+	8.09129i	−0.752038	+	0.337430i
$576$	2.96830	−	0.434995i	0.123679	−	0.0181248i
$577$	25.6215	+	23.0697i	1.06664	+	0.960403i	0.999303	−	0.0373277i	$-0.0118845\pi$
$577$	25.6215	+	23.0697i	1.06664	+	0.960403i	0.0673324	+	0.997731i	$0.478551\pi$
$578$	1.57042	+	14.9415i	0.0653207	+	0.621485i
$579$	3.71566	+	12.8156i	0.154418	+	0.532598i
$580$	−9.17063	+	7.44814i	−0.380790	+	0.309267i
$581$	−21.1303	−	15.3521i	−0.876633	−	0.636911i
$582$	−0.446917	−	6.13187i	−0.0185253	−	0.254174i
$583$	58.7492	−	33.9189i	2.43314	−	1.40478i
$584$	3.93022	−	6.80733i	0.162633	−	0.281689i
$585$	5.79493	+	18.4693i	0.239591	+	0.763612i
$586$	5.67105	−	1.20542i	0.234269	−	0.0497954i
$587$	−0.626187	+	0.203460i	−0.0258455	+	0.00839771i	−0.321911	−	0.946770i	$-0.604325\pi$
$587$	−0.626187	+	0.203460i	−0.0258455	+	0.00839771i	0.296066	+	0.955168i	$0.404325\pi$
$588$	−14.7701	+	7.90924i	−0.609109	+	0.326171i
$589$	−10.7303	+	1.25963i	−0.442134	+	0.0519023i
$590$	−3.72850	−	13.8352i	−0.153500	−	0.569585i
$591$	14.2632	−	14.8572i	0.586711	−	0.611146i
$592$	5.72422	−	1.21672i	0.235264	−	0.0500069i
$593$	21.1592	−	15.3731i	0.868906	−	0.631297i	−0.0613875	−	0.998114i	$-0.519553\pi$
$593$	21.1592	−	15.3731i	0.868906	−	0.631297i	0.930293	+	0.366817i	$0.119553\pi$
$594$	21.7395	+	15.5034i	0.891984	+	0.636110i
$595$	9.08904	+	9.06288i	0.372614	+	0.371542i
$596$	1.78887	−	4.01786i	0.0732748	−	0.164578i
$597$	2.57341	−	18.7101i	0.105323	−	0.765752i
$598$	−4.63960	−	10.4207i	−0.189727	−	0.426134i
$599$	1.23095	−	5.79119i	0.0502954	−	0.236621i	−0.945818	−	0.324696i	$-0.894738\pi$
$599$	1.23095	−	5.79119i	0.0502954	−	0.236621i	0.996114	+	0.0880745i	$0.0280714\pi$
$600$	7.80577	+	3.75100i	0.318669	+	0.153134i
$601$	−3.30182	−	2.97298i	−0.134684	−	0.121270i	0.599036	−	0.800722i	$-0.295551\pi$
$601$	−3.30182	−	2.97298i	−0.134684	−	0.121270i	−0.733720	+	0.679452i	$0.762217\pi$
$602$	−35.4643	+	31.9322i	−1.44542	+	1.30146i
$603$	−0.193267	+	0.233099i	−0.00787044	+	0.00949252i
$604$	19.3890	+	6.29987i	0.788928	+	0.256338i
$605$	1.75333	−	34.4042i	0.0712829	−	1.39873i
$606$	−16.9603	+	6.91054i	−0.688966	+	0.280721i
$607$	−29.2846	+	26.3680i	−1.18863	+	1.07024i	−0.192592	+	0.981279i	$0.561689\pi$
$607$	−29.2846	+	26.3680i	−1.18863	+	1.07024i	−0.996035	+	0.0889656i	$0.971644\pi$
$608$	1.29842	−	1.44204i	0.0526577	−	0.0584823i
$609$	−30.9171	+	20.9865i	−1.25282	+	0.850415i
$610$	1.00197	+	18.6055i	0.0405684	+	0.753315i
$611$	24.0809	−	10.7215i	0.974210	−	0.433746i
$612$	−1.46570	−	3.95441i	−0.0592474	−	0.159848i
$613$	−29.1786	−	12.9912i	−1.17851	−	0.524708i	−0.278443	−	0.960453i	$-0.589818\pi$
$613$	−29.1786	−	12.9912i	−1.17851	−	0.524708i	−0.900070	+	0.435745i	$0.856485\pi$
$614$	15.4703	−	8.93176i	0.624329	−	0.360456i
$615$	8.33290	−	1.96232i	0.336015	−	0.0791283i
$616$	−12.3333	−	16.9753i	−0.496923	−	0.683955i
$617$	45.3013	−	9.62910i	1.82376	−	0.387653i	0.836658	−	0.547725i	$-0.184506\pi$
$617$	45.3013	−	9.62910i	1.82376	−	0.387653i	0.987105	+	0.160072i	$0.0511727\pi$
$618$	12.3048	−	12.8173i	0.494973	−	0.515587i
$619$		−	20.2931i		−	0.815650i	−0.913060	−	0.407825i	$-0.866287\pi$
$619$		−	20.2931i		−	0.815650i	0.913060	−	0.407825i	$-0.133713\pi$
$620$	4.30343	−	11.6825i	0.172830	−	0.469180i
$621$	20.4463	+	1.96667i	0.820483	+	0.0789199i
$622$	−7.41051	+	2.40782i	−0.297135	+	0.0965449i
$623$	8.26149	+	38.8673i	0.330990	+	1.55718i
$624$	−2.17774	+	4.49858i	−0.0871794	+	0.180087i
$625$	12.6246	+	21.5782i	0.504985	+	0.863128i
$626$	7.90388	+	13.6899i	0.315903	+	0.547159i
$627$	17.2252	−	1.25545i	0.687908	−	0.0501378i
$628$	−9.80709	+	13.4983i	−0.391346	+	0.538641i
$629$	−3.34610	−	7.51546i	−0.133418	−	0.299661i
$630$	23.5818	+	13.9353i	0.939522	+	0.555194i
$631$	18.1198	−	1.90447i	0.721338	−	0.0758157i	0.263256	−	0.964726i	$-0.415203\pi$
$631$	18.1198	−	1.90447i	0.721338	−	0.0758157i	0.458081	+	0.888910i	$0.348537\pi$
$632$	7.32682	+	6.59710i	0.291445	+	0.262418i
$633$	−25.3270	−	9.13395i	−1.00666	−	0.363042i
$634$	0.619437	−	5.89355i	0.0246010	−	0.234063i
$635$	0.687323	−	13.4868i	0.0272756	−	0.535208i
$636$	−22.5064	+	4.03680i	−0.892435	+	0.160069i
$637$	2.91768	−	27.7599i	0.115603	−	1.09989i
$638$	−18.1669	−	20.1764i	−0.719235	−	0.798792i
$639$	21.1107	−	5.39565i	0.835127	−	0.213449i
$640$	0.804343	+	2.08639i	0.0317945	+	0.0824719i
$641$	−43.7484	−	9.29900i	−1.72796	−	0.367288i	−0.766499	−	0.642245i	$-0.778003\pi$
$641$	−43.7484	−	9.29900i	−1.72796	−	0.367288i	−0.961457	+	0.274957i	$0.911336\pi$
$642$	−5.90120	+	7.59918i	−0.232902	+	0.299916i
$643$	23.1503	+	16.8197i	0.912957	+	0.663302i	0.941761	−	0.336283i	$-0.109170\pi$
$643$	23.1503	+	16.8197i	0.912957	+	0.663302i	−0.0288038	+	0.999585i	$0.509170\pi$
$644$	−14.7460	−	6.56532i	−0.581072	−	0.258710i
$645$	43.3439	+	13.0441i	1.70666	+	0.513609i
$646$	−2.36237	−	1.36391i	−0.0929461	−	0.0536625i
$647$	−20.1392	−	27.7193i	−0.791755	−	1.08976i	−0.993887	−	0.110399i	$-0.964787\pi$
$647$	−20.1392	−	27.7193i	−0.791755	−	1.08976i	0.202132	−	0.979358i	$-0.435213\pi$
$648$	−5.12021	−	7.40159i	−0.201141	−	0.290762i
$649$	31.3171	−	10.1755i	1.22930	−	0.399425i
$650$	−12.4741	+	7.24994i	−0.489274	+	0.284366i
$651$	16.7265	−	35.6487i	0.655562	−	1.39718i
$652$			6.17323i			0.241762i
$653$	11.8713	+	36.5362i	0.464561	+	1.42977i	0.859534	+	0.511079i	$0.170754\pi$
$653$	11.8713	+	36.5362i	0.464561	+	1.42977i	−0.394973	+	0.918693i	$0.629246\pi$
$654$	−19.0978	+	16.1209i	−0.746782	+	0.630378i
$655$	19.7356	+	15.9346i	0.771136	+	0.622615i
$656$	1.91426	+	1.10520i	0.0747393	+	0.0431508i
$657$	−23.5331	−	1.50648i	−0.918114	−	0.0587734i
$658$	15.1716	−	34.0760i	0.591452	−	1.32842i
$659$	−15.2443	+	20.9820i	−0.593834	+	0.817343i	−0.995126	−	0.0986075i	$-0.968561\pi$
$659$	−15.2443	+	20.9820i	−0.593834	+	0.817343i	0.401292	+	0.915950i	$0.368561\pi$
$660$	−7.69595	+	18.3538i	−0.299564	+	0.714421i
$661$	11.8490	+	2.51858i	0.460872	+	0.0979614i	0.432496	−	0.901636i	$-0.357633\pi$
$661$	11.8490	+	2.51858i	0.460872	+	0.0979614i	0.0283764	+	0.999597i	$0.490966\pi$
$662$	11.2539	−	1.18283i	0.437395	−	0.0459720i
$663$	6.82226	+	1.67967i	0.264955	+	0.0652332i
$664$	−4.75348	+	4.28006i	−0.184471	+	0.166098i
$665$	17.4952	−	2.79681i	0.678433	−	0.108456i
$666$	−10.8900	−	13.7707i	−0.421978	−	0.533604i
$667$	−19.8636	−	6.45409i	−0.769123	−	0.249903i
$668$	13.0269	+	1.36918i	0.504027	+	0.0529754i
$669$	−35.4090	−	12.7699i	−1.36899	−	0.493715i
$670$	−0.201241	−	0.102173i	−0.00777463	−	0.00394727i
$671$	−42.5844	+	4.47581i	−1.64395	+	0.172787i
$672$	1.96943	+	6.79271i	0.0759723	+	0.262035i
$673$	12.9781	−	5.77824i	0.500271	−	0.222735i	−0.141058	−	0.990001i	$-0.545050\pi$
$673$	12.9781	−	5.77824i	0.500271	−	0.222735i	0.641328	+	0.767267i	$0.278384\pi$
$674$	−3.05931	−	2.22272i	−0.117840	−	0.0856160i
$675$	−0.304236	−	25.9790i	−0.0117100	−	0.999931i
$676$	2.33671	+	4.04730i	0.0898734	+	0.155665i
$677$	−20.8743	−	12.0518i	−0.802263	−	0.463187i	0.0419988	−	0.999118i	$-0.486627\pi$
$677$	−20.8743	−	12.0518i	−0.802263	−	0.463187i	−0.844262	+	0.535931i	$0.819961\pi$
$678$	−8.17862	+	16.8946i	−0.314098	+	0.648835i
$679$	14.1774	−	3.01350i	0.544078	−	0.115647i
$680$	2.63380	−	1.71581i	0.101002	−	0.0657984i
$681$	−13.6378	+	7.30289i	−0.522601	+	0.279847i
$682$	27.3159	+	8.51040i	1.04598	+	0.325880i
$683$	−21.3016			−0.815085			−0.407542	−	0.913186i	$-0.633614\pi$
$683$	−21.3016			−0.815085			−0.407542	+	0.913186i	$0.633614\pi$
$684$	−5.60519	−	1.57162i	−0.214320	−	0.0600925i
$685$	14.3092	+	27.9836i	0.546727	+	1.06920i
$686$	−6.41591	−	8.83074i	−0.244960	−	0.337159i
$687$	21.0228	+	0.672202i	0.802070	+	0.0256461i
$688$	5.84357	+	10.1214i	0.222784	+	0.385873i
$689$	15.4941	−	34.8004i	0.590279	−	1.32579i
$690$	1.93244	+	15.1877i	0.0735665	+	0.578185i
$691$	22.4460	−	9.99362i	0.853887	−	0.380175i	0.0673586	−	0.997729i	$-0.478543\pi$
$691$	22.4460	−	9.99362i	0.853887	−	0.380175i	0.786529	+	0.617554i	$0.211876\pi$
$692$	4.53652	+	0.964268i	0.172453	+	0.0366560i
$693$	−29.2247	+	55.7527i	−1.11015	+	2.11787i
$694$	21.4379	+	19.3028i	0.813773	+	0.732725i
$695$	−17.6947	+	27.3336i	−0.671198	+	1.03682i
$696$	3.45307	+	8.47476i	0.130888	+	0.321235i
$697$	0.960211	−	2.95523i	0.0363706	−	0.111937i
$698$	−5.92017	+	18.2204i	−0.224082	+	0.689652i
$699$	−12.7172	−	31.2114i	−0.481008	−	1.18052i
$700$	−6.25302	+	19.4353i	−0.236342	+	0.734584i
$701$	8.92100	+	8.03250i	0.336942	+	0.303383i	0.820180	−	0.572105i	$-0.193873\pi$
$701$	8.92100	+	8.03250i	0.336942	+	0.303383i	−0.483239	+	0.875489i	$0.660540\pi$
$702$	14.9933	−	0.132359i	0.565887	−	0.00499558i
$703$	−11.1076	−	2.36099i	−0.418930	−	0.0890463i
$704$	−4.69441	+	2.09009i	−0.176927	+	0.0787731i
$705$	−35.0968	+	4.46562i	−1.32182	+	0.168185i
$706$	10.3510	−	23.2488i	0.389566	−	0.874980i
$707$	−21.5876	−	37.3909i	−0.811887	−	1.40623i
$708$	−11.0933	−	0.354709i	−0.416914	−	0.0133308i
$709$	9.06994	+	12.4837i	0.340629	+	0.468835i	0.944625	−	0.328152i	$-0.106426\pi$
$709$	9.06994	+	12.4837i	0.340629	+	0.468835i	−0.603996	+	0.796987i	$0.706426\pi$
$710$	7.39403	+	14.4600i	0.277493	+	0.542676i
$711$	7.98523	−	28.4793i	0.299470	−	1.06806i
$712$	9.73128			0.364695
$713$	21.4716	−	4.83700i	0.804118	−	0.181147i
$714$	8.76469	−	4.69340i	0.328010	−	0.175646i
$715$	−18.0984	−	27.7814i	−0.676843	−	1.03896i
$716$	−2.16208	+	0.459563i	−0.0808005	+	0.0171747i
$717$	14.3984	−	29.7430i	0.537720	−	1.11077i
$718$	11.3446	+	6.54979i	0.423376	+	0.244436i
$719$	−11.7033	−	20.2708i	−0.436461	−	0.755973i	0.560953	−	0.827848i	$-0.310435\pi$
$719$	−11.7033	−	20.2708i	−0.436461	−	0.755973i	−0.997414	+	0.0718752i	$0.977102\pi$
$720$	4.53892	−	4.93946i	0.169155	−	0.184083i
$721$	33.8874	+	24.6206i	1.26203	+	0.916920i
$722$	13.9175	−	6.19649i	0.517957	−	0.230609i
$723$	−4.42406	−	15.2589i	−0.164533	−	0.567486i
$724$	−18.4068	+	1.93463i	−0.684083	+	0.0719000i
$725$	−5.41796	+	25.8558i	−0.201218	+	0.960260i
$726$	−25.1015	−	9.05263i	−0.931602	−	0.335974i
$727$	31.7102	+	3.33287i	1.17606	+	0.123609i	0.672332	−	0.740250i	$-0.265293\pi$
$727$	31.7102	+	3.33287i	1.17606	+	0.123609i	0.503733	+	0.863859i	$0.331960\pi$
$728$	−11.2060	−	3.64104i	−0.415321	−	0.134946i
$729$	−13.0851	+	23.6174i	−0.484633	+	0.874718i
$730$	−2.77458	−	17.3561i	−0.102692	−	0.642377i
$731$	12.2094	−	10.9934i	0.451582	−	0.406606i
$732$	14.0142	+	3.45035i	0.517978	+	0.127529i
$733$	−4.49643	+	0.472593i	−0.166079	+	0.0174556i	−0.187203	−	0.982321i	$-0.559942\pi$
$733$	−4.49643	+	0.472593i	−0.166079	+	0.0174556i	0.0211238	+	0.999777i	$0.493276\pi$
$734$	33.8584	+	7.19683i	1.24974	+	0.265640i
$735$	−14.4871	+	34.5497i	−0.534364	+	1.27439i
$736$	−2.32355	+	3.19809i	−0.0856472	+	0.117883i
$737$	0.210959	−	0.473821i	0.00777077	−	0.0174534i
$738$	0.423631	−	6.61765i	0.0155941	−	0.243599i
$739$	−15.0369	−	8.68155i	−0.553141	−	0.319356i	0.197247	−	0.980354i	$-0.436800\pi$
$739$	−15.0369	−	8.68155i	−0.553141	−	0.319356i	−0.750388	+	0.660998i	$0.770133\pi$
$740$	8.22043	−	10.1814i	0.302189	−	0.374274i
$741$	7.41098	−	6.25580i	0.272249	−	0.229813i
$742$	−16.6576	−	51.2668i	−0.611519	−	1.88206i
$743$			15.2980i			0.561228i	0.959821	+	0.280614i	$0.0905381\pi$
$743$			15.2980i			0.561228i	−0.959821	+	0.280614i	$0.909462\pi$
$744$	−7.68796	−	5.82197i	−0.281854	−	0.213444i
$745$	−2.55903	−	9.49566i	−0.0937556	−	0.347894i
$746$	11.5860	−	3.76453i	0.424195	−	0.137829i
$747$	17.8340	+	7.08362i	0.652513	+	0.259176i
$748$	4.24604	+	5.84417i	0.155250	+	0.213684i
$749$	−19.6435	−	11.3412i	−0.717757	−	0.414397i
$750$	18.8364	−	4.49315i	0.687810	−	0.164067i
$751$	−30.9400	−	13.7754i	−1.12902	−	0.502671i	−0.244720	−	0.969594i	$-0.578696\pi$
$751$	−30.9400	−	13.7754i	−1.12902	−	0.502671i	−0.884298	+	0.466923i	$0.845363\pi$
$752$	−7.39039	−	5.36943i	−0.269500	−	0.195803i
$753$	−4.62213	+	5.95207i	−0.168440	+	0.216905i
$754$	−14.9127	−	3.16980i	−0.543089	−	0.115437i
$755$	42.5349	−	16.3980i	1.54800	−	0.596784i
$756$	15.6416	−	14.3358i	0.568880	−	0.521389i
$757$	18.2013	+	20.2145i	0.661536	+	0.734710i	0.976767	−	0.214305i	$-0.0687487\pi$
$757$	18.2013	+	20.2145i	0.661536	+	0.734710i	−0.315231	+	0.949015i	$0.602082\pi$
$758$	3.12842	−	29.7649i	0.113629	−	1.08111i
$759$	−34.6313	+	6.21157i	−1.25704	+	0.225466i
$760$	0.220839	−	4.33336i	0.00801068	−	0.157188i
$761$	3.41433	−	32.4852i	0.123770	−	1.17759i	−0.739611	−	0.673035i	$-0.764990\pi$
$761$	3.41433	−	32.4852i	0.123770	−	1.17759i	0.863380	−	0.504554i	$-0.168343\pi$
$762$	−9.84005	−	3.54873i	−0.356467	−	0.128557i
$763$	−43.7851	−	39.4243i	−1.58513	−	1.42725i
$764$	−1.93053	+	0.202907i	−0.0698442	+	0.00734092i
$765$	−8.11861	−	4.79755i	−0.293529	−	0.173456i
$766$	−1.18691	−	2.66585i	−0.0428849	−	0.0963210i
$767$	10.8687	−	14.9594i	0.392445	−	0.540154i
$768$	1.72747	−	0.125905i	0.0623347	−	0.00454322i
$769$	−23.8709	−	41.3457i	−0.860808	−	1.49096i	−0.871150	−	0.491017i	$-0.836625\pi$
$769$	−23.8709	−	41.3457i	−0.860808	−	1.49096i	0.0103418	−	0.999947i	$-0.496708\pi$
$770$	−45.3374	−	12.0781i	−1.63385	−	0.435265i
$771$	−15.7808	+	32.5986i	−0.568333	+	1.17401i
$772$	1.60171	+	7.53546i	0.0576468	+	0.271207i
$773$	38.4350	−	12.4883i	1.38241	−	0.449172i	0.478949	−	0.877843i	$-0.341018\pi$
$773$	38.4350	−	12.4883i	1.38241	−	0.449172i	0.903461	+	0.428671i	$0.141018\pi$
$774$	19.4347	−	29.1821i	0.698566	−	1.04893i
$775$	−8.99932	−	26.3441i	−0.323265	−	0.946308i
$776$		−	3.54963i		−	0.127424i
$777$	28.6633	−	29.8570i	1.02829	−	1.07111i
$778$	19.4029	−	4.12421i	0.695627	−	0.147860i
$779$	−2.52111	−	3.47001i	−0.0903283	−	0.124326i
$780$	2.56172	+	10.8783i	0.0917244	+	0.389504i
$781$	−32.3225	+	18.6614i	−1.15659	+	0.667757i
$782$	5.07665	+	2.26027i	0.181541	+	0.0808271i
$783$	18.1893	−	20.5635i	0.650033	−	0.734878i
$784$	−8.83690	+	3.93444i	−0.315604	+	0.140516i
$785$	2.00627	+	37.2544i	0.0716068	+	1.32967i
$786$	16.2565	−	11.0349i	0.579851	−	0.393602i
$787$	15.5825	−	17.3062i	0.555457	−	0.616898i	−0.398380	−	0.917220i	$-0.630428\pi$
$787$	15.5825	−	17.3062i	0.555457	−	0.616898i	0.953838	+	0.300322i	$0.0970943\pi$
$788$	8.83663	−	7.95654i	0.314792	−	0.283440i
$789$	−33.9849	+	13.8472i	−1.20989	+	0.492975i
$790$	22.0173	+	1.12206i	0.783340	+	0.0399210i
$791$	−42.0846	−	13.6741i	−1.49636	−	0.486195i
$792$	11.8675	+	9.83956i	0.421692	+	0.349634i
$793$	−17.8687	+	16.0890i	−0.634535	+	0.571338i
$794$	19.2735	+	17.3539i	0.683990	+	0.615868i
$795$	−33.3741	+	38.7341i	−1.18366	+	1.37376i
$796$	2.26706	−	10.6657i	0.0803539	−	0.378035i
$797$	10.5188	+	23.6256i	0.372595	+	0.836863i	0.998382	+	0.0568683i	$0.0181115\pi$
$797$	10.5188	+	23.6256i	0.372595	+	0.836863i	−0.625786	+	0.779994i	$0.715222\pi$
$798$	1.86998	−	13.5958i	0.0661966	−	0.481285i
$799$	−5.22320	+	11.7315i	−0.184784	+	0.415031i
$800$	4.33732	+	2.48751i	0.153347	+	0.0879467i
$801$	−12.9519	−	26.1635i	−0.457634	−	0.924441i
$802$	−11.5046	+	8.35855i	−0.406240	+	0.295151i
$803$	39.5095	−	8.39801i	1.39426	−	0.296359i
$804$	−0.121070	+	0.126113i	−0.00426982	+	0.00444765i
$805$	−34.8500	+	9.39190i	−1.22830	+	0.331021i
$806$	15.2185	−	5.14981i	0.536050	−	0.181394i
$807$	0.147598	−	0.0790373i	0.00519570	−	0.00278225i
$808$	−10.0562	+	3.26745i	−0.353775	+	0.114948i
$809$	28.0462	−	5.96140i	0.986052	−	0.209592i	0.313457	−	0.949602i	$-0.398513\pi$
$809$	28.0462	−	5.96140i	0.986052	−	0.209592i	0.672595	+	0.740011i	$0.265180\pi$
$810$	−19.3213	−	5.62910i	−0.678882	−	0.197786i
$811$	1.86624	−	3.23243i	0.0655327	−	0.113506i	−0.831397	−	0.555678i	$-0.812459\pi$
$811$	1.86624	−	3.23243i	0.0655327	−	0.113506i	0.896930	+	0.442172i	$0.145792\pi$
$812$	−18.6835	+	10.7869i	−0.655664	+	0.378548i
$813$	−2.23857	−	30.7140i	−0.0785101	−	1.07719i
$814$	24.3288	+	17.6759i	0.852724	+	0.619540i
$815$	8.70244	+	10.7150i	0.304833	+	0.375330i
$816$	−0.678023	−	2.33855i	−0.0237356	−	0.0818658i
$817$	−2.37053	−	22.5541i	−0.0829344	−	0.789068i
$818$	−17.6698	−	15.9100i	−0.617811	−	0.556279i
$819$	5.12540	+	34.9744i	0.179096	+	1.22210i
$820$	4.88063	−	0.780229i	0.170439	−	0.0272468i
$821$	7.66839	−	23.6009i	0.267629	−	0.823677i	−0.723447	−	0.690380i	$-0.757444\pi$
$821$	7.66839	−	23.6009i	0.267629	−	0.823677i	0.991076	−	0.133297i	$-0.0425565\pi$
$822$	23.9631	−	4.29808i	0.835808	−	0.149913i
$823$	0.992243	−	9.44056i	0.0345874	−	0.329077i	−0.963523	−	0.267627i	$-0.913761\pi$
$823$	0.992243	−	9.44056i	0.0345874	−	0.329077i	0.998110	−	0.0614506i	$-0.0195727\pi$
$824$	7.62332	−	6.86407i	0.265571	−	0.239121i
$825$	12.5155	+	42.7061i	0.435732	+	1.48684i
$826$	−2.73507	−	26.0224i	−0.0951651	−	0.905436i
$827$	3.32941	−	15.6636i	0.115775	−	0.544678i	−0.881583	−	0.472029i	$-0.843522\pi$
$827$	3.32941	−	15.6636i	0.115775	−	0.544678i	0.997358	−	0.0726484i	$-0.0231451\pi$
$828$	11.6909	+	1.99056i	0.406288	+	0.0691766i
$829$	−4.23335	+	5.82671i	−0.147030	+	0.202370i	−0.876180	−	0.481985i	$-0.839916\pi$
$829$	−4.23335	+	5.82671i	−0.147030	+	0.202370i	0.729149	+	0.684355i	$0.239916\pi$
$830$	−2.21710	+	14.1300i	−0.0769567	+	0.490460i
$831$	38.4085	+	23.8434i	1.33238	+	0.827120i
$832$	−1.44279	+	2.49899i	−0.0500198	+	0.0866368i
$833$	7.99286	+	11.0012i	0.276936	+	0.381170i
$834$	16.2690	+	19.2732i	0.563350	+	0.667376i
$835$	24.5413	−	15.9876i	0.849285	−	0.553274i
$836$	9.97136			0.344867
$837$	−5.42057	+	28.4186i	−0.187362	+	0.982291i
$838$			13.2601i			0.458064i
$839$	−23.2681	+	7.56027i	−0.803304	+	0.261009i	−0.681759	−	0.731577i	$-0.738785\pi$
$839$	−23.2681	+	7.56027i	−0.803304	+	0.261009i	−0.121545	+	0.992586i	$0.538785\pi$
$840$	12.9941	+	9.01394i	0.448339	+	0.311010i
$841$	0.877746	−	0.637720i	0.0302671	−	0.0219903i
$842$	−10.3200	+	17.8748i	−0.355652	+	0.616008i
$843$	15.3107	−	24.6634i	0.527327	−	0.849452i
$844$	−14.2005	−	6.32247i	−0.488802	−	0.217628i
$845$	9.76137	+	3.73091i	0.335801	+	0.128347i
$846$	−4.59993	+	27.0163i	−0.158149	+	0.928838i
$847$	13.0791	−	61.5323i	0.449403	−	2.11428i
$848$	−13.1291	+	1.37992i	−0.450855	+	0.0473868i
$849$	6.72012	+	1.65453i	0.230634	+	0.0567832i
$850$	2.15275	−	6.69106i	0.0738388	−	0.229501i
$851$	23.0070	+	2.41813i	0.788669	+	0.0828924i
$852$	12.3825	−	2.22096i	0.424217	−	0.0760887i
$853$	46.3492	+	15.0598i	1.58697	+	0.515637i	0.963839	−	0.266484i	$-0.0858620\pi$
$853$	46.3492	+	15.0598i	1.58697	+	0.515637i	0.623127	+	0.782121i	$0.285862\pi$
$854$	−3.55655	+	33.8383i	−0.121703	+	1.15792i
$855$	−11.9446	+	5.17378i	−0.408496	+	0.176939i
$856$	−3.71697	+	4.12812i	−0.127043	+	0.141096i
$857$	−1.59514	−	15.1768i	−0.0544891	−	0.518429i	−0.987391	−	0.158299i	$-0.949399\pi$
$857$	−1.59514	−	15.1768i	−0.0544891	−	0.518429i	0.932902	−	0.360130i	$-0.117268\pi$
$858$	−24.6671	+	7.15180i	−0.842122	+	0.244158i
$859$	−12.4769	−	28.0236i	−0.425706	−	0.956152i	−0.991319	−	0.131481i	$-0.958027\pi$
$859$	−12.4769	−	28.0236i	−0.425706	−	0.956152i	0.565612	−	0.824671i	$-0.308640\pi$
$860$	24.4110	+	9.33014i	0.832407	+	0.318155i
$861$	15.5916	−	1.13638i	0.531360	−	0.0387278i
$862$	33.9728	−	19.6142i	1.15712	−	0.668062i
$863$	22.8849	+	13.2126i	0.779012	+	0.449763i	0.836080	−	0.548608i	$-0.184842\pi$
$863$	22.8849	+	13.2126i	0.779012	+	0.449763i	−0.0570682	+	0.998370i	$0.518175\pi$
$864$	−2.63770	−	4.47689i	−0.0897363	−	0.152307i
$865$	9.23347	−	4.72146i	0.313947	−	0.160535i
$866$	−2.61301	−	8.04201i	−0.0887936	−	0.273279i
$867$	22.9400	−	12.2841i	0.779084	−	0.417192i
$868$	11.1276	−	19.8254i	0.377696	−	0.672917i
$869$			50.6633i			1.71863i
$870$	17.9405	+	9.84200i	0.608239	+	0.333675i
$871$	−0.0605544	−	0.284886i	−0.00205181	−	0.00965299i
$872$	−11.6735	+	8.48130i	−0.395315	+	0.287213i
$873$	−9.54351	+	4.72441i	−0.322999	+	0.159897i
$874$	6.64304	−	3.83536i	0.224704	−	0.129733i
$875$	16.5445	+	42.5491i	0.559307	+	1.43842i
$876$	−13.4877	−	1.85511i	−0.455707	−	0.0626785i
$877$	6.17405	+	13.8672i	0.208483	+	0.468260i	0.987275	−	0.159022i	$-0.0508340\pi$
$877$	6.17405	+	13.8672i	0.208483	+	0.468260i	−0.778792	+	0.627282i	$0.784167\pi$
$878$	30.1223	+	6.40268i	1.01658	+	0.216080i
$879$	−5.63988	−	8.30862i	−0.190228	−	0.280243i
$880$	−5.20178	+	10.2456i	−0.175352	+	0.345378i
$881$	−19.2350	−	21.3626i	−0.648042	−	0.719724i	0.326182	−	0.945307i	$-0.394238\pi$
$881$	−19.2350	−	21.3626i	−0.648042	−	0.719724i	−0.974224	+	0.225583i	$0.927571\pi$
$882$	22.3397	+	18.5223i	0.752216	+	0.623677i
$883$	5.47977	−	16.8650i	0.184409	−	0.567552i	−0.815529	−	0.578716i	$-0.803554\pi$
$883$	5.47977	−	16.8650i	0.184409	−	0.567552i	0.999938	+	0.0111644i	$0.00355381\pi$
$884$	3.85792	+	1.25352i	0.129756	+	0.0421603i
$885$	−19.7550	+	15.0227i	−0.664057	+	0.504982i
$886$	20.8007	+	23.1016i	0.698815	+	0.776112i
$887$	−30.3332	+	33.6885i	−1.01849	+	1.13115i	−0.0271762	+	0.999631i	$0.508652\pi$
$887$	−30.3332	+	33.6885i	−1.01849	+	1.13115i	−0.991314	+	0.131517i	$0.958015\pi$
$888$	−5.69276	−	8.38652i	−0.191036	−	0.281433i
$889$	5.12715	−	24.1213i	0.171959	−	0.809004i
$890$	16.8908	−	13.7183i	0.566181	−	0.459837i
$891$	10.6595	−	45.0029i	0.357106	−	1.50765i
$892$	−19.8534	−	8.83929i	−0.664740	−	0.295961i
$893$	8.86304	+	15.3512i	0.296590	+	0.513710i
$894$	−7.61383	−	0.243452i	−0.254645	−	0.00814224i
$895$	−3.10491	+	3.84557i	−0.103786	+	0.128543i
$896$	0.848962	+	3.99405i	0.0283618	+	0.133432i
$897$	−13.6827	+	14.2525i	−0.456852	+	0.475878i
$898$	12.8198			0.427802
$899$	11.6380	−	27.0171i	0.388149	−	0.901070i
$900$	0.915113	−	14.9721i	0.0305038	−	0.499069i
$901$	5.73478	+	17.6498i	0.191053	+	0.588001i
$902$	2.36157	+	11.1103i	0.0786317	+	0.369933i
$903$	74.3977	+	36.0156i	2.47580	+	1.19852i
$904$	−5.41848	+	9.38508i	−0.180216	+	0.312143i
$905$	−29.2218	+	29.3061i	−0.971365	+	0.974169i
$906$	−2.56681	−	35.2176i	−0.0852766	−	1.17003i
$907$	−15.7847	+	21.7257i	−0.524121	+	0.721391i	−0.986220	−	0.165438i	$-0.947096\pi$
$907$	−15.7847	+	21.7257i	−0.524121	+	0.721391i	0.462099	+	0.886828i	$0.347096\pi$
$908$	−8.15943	+	3.63281i	−0.270780	+	0.120559i
$909$	22.1692	+	22.6881i	0.735305	+	0.752518i
$910$	−24.5832	+	9.47729i	−0.814926	+	0.314169i
$911$	−9.87051	+	10.9623i	−0.327025	+	0.363198i	−0.884127	−	0.467246i	$-0.845246\pi$
$911$	−9.87051	+	10.9623i	−0.327025	+	0.363198i	0.557103	+	0.830444i	$0.311913\pi$
$912$	−3.16164	−	1.14022i	−0.104692	−	0.0377564i
$913$	−32.6892	−	3.43577i	−1.08185	−	0.113707i
$914$	−1.74529	+	5.37144i	−0.0577289	+	0.177671i
$915$	29.1886	−	13.7670i	0.964947	−	0.455123i
$916$	12.0772	+	1.26936i	0.399042	+	0.0419410i
$917$	30.9940	+	34.4223i	1.02351	+	1.13673i
$918$	−5.38501	+	4.93545i	−0.177732	+	0.162894i
$919$	3.51226	+	33.4169i	0.115859	+	1.10232i	0.885755	+	0.464153i	$0.153641\pi$
$919$	3.51226	+	33.4169i	0.115859	+	1.10232i	−0.769897	+	0.638169i	$0.779692\pi$
$920$	0.475336	+	8.82652i	0.0156714	+	0.291002i
$921$	−24.4374	−	18.9771i	−0.805240	−	0.625315i
$922$	−32.4473	−	23.5744i	−1.06860	−	0.776380i
$923$	−8.52452	+	19.1464i	−0.280588	+	0.630211i
$924$	−19.1681	+	30.8772i	−0.630584	+	1.01578i
$925$	−0.0843480	−	29.2604i	−0.00277334	−	0.962075i
$926$	−26.6256	+	19.3447i	−0.874973	+	0.635705i
$927$	−28.6010	−	11.3602i	−0.939382	−	0.373119i
$928$	1.63268	+	5.02488i	0.0535954	+	0.164950i
$929$	17.0212			0.558446			0.279223	−	0.960226i	$-0.409923\pi$
$929$	17.0212			0.558446			0.279223	+	0.960226i	$0.409923\pi$
$930$	−21.5514	+	0.732447i	−0.706699	+	0.0240179i
$931$	18.7704			0.615174
$932$	−6.01295	−	18.5060i	−0.196961	−	0.606183i
$933$	8.70540	+	10.3129i	0.285002	+	0.337629i
$934$	11.7618	−	8.54543i	0.384857	−	0.279615i
$935$	15.6085	+	4.15818i	0.510452	+	0.135987i
$936$	8.63906	+	0.553032i	0.282377	+	0.0180764i
$937$	−1.64978	+	3.70546i	−0.0538959	+	0.121052i	−0.938486	−	0.345317i	$-0.887771\pi$
$937$	−1.64978	+	3.70546i	−0.0538959	+	0.121052i	0.884590	+	0.466369i	$0.154438\pi$
$938$	−0.333427	−	0.242249i	−0.0108868	−	0.00790970i
$939$	16.7932	−	21.6251i	0.548024	−	0.705709i
$940$	−20.3970	+	1.09844i	−0.665276	+	0.0358272i
$941$	0.730819	+	6.95327i	0.0238240	+	0.226670i	0.999955	+	0.00948762i	$0.00302005\pi$
$941$	0.730819	+	6.95327i	0.0238240	+	0.226670i	−0.976131	+	0.217183i	$0.930313\pi$
$942$	28.0610	+	6.90875i	0.914276	+	0.225099i
$943$	5.84675	+	6.49348i	0.190396	+	0.211457i
$944$	−6.37292	−	0.669821i	−0.207421	−	0.0218008i
$945$	6.94021	−	46.9331i	0.225765	−	1.52673i
$946$	−18.5585	+	57.1170i	−0.603387	+	1.85704i
$947$	−9.69073	−	1.01854i	−0.314907	−	0.0330980i	−0.0542431	−	0.998528i	$-0.517275\pi$
$947$	−9.69073	−	1.01854i	−0.314907	−	0.0330980i	−0.260663	+	0.965430i	$0.583941\pi$
$948$	5.79331	−	16.0639i	0.188158	−	0.521732i
$949$	15.1772	−	16.8560i	0.492672	−	0.547167i
$950$	−5.72545	−	7.83282i	−0.185758	−	0.254130i
$951$	−9.85818	+	2.85821i	−0.319673	+	0.0926837i
$952$	5.24389	−	2.33473i	0.169955	−	0.0756690i
$953$	8.71934	−	12.0011i	0.282447	−	0.388755i	−0.644095	−	0.764945i	$-0.722766\pi$
$953$	8.71934	−	12.0011i	0.282447	−	0.388755i	0.926543	+	0.376190i	$0.122766\pi$
$954$	21.1843	+	33.4622i	0.685868	+	1.08338i
$955$	−3.06483	+	3.07367i	−0.0991755	+	0.0994618i
$956$	9.53922	−	16.5224i	0.308520	−	0.534373i
$957$	−20.4900	+	42.3265i	−0.662349	+	1.36822i
$958$	−0.633015	−	2.97810i	−0.0204518	−	0.0962181i
$959$	17.7357	+	54.5850i	0.572717	+	1.76264i
$960$	2.82091	−	2.65376i	0.0910446	−	0.0856497i
$961$	3.98765	+	30.7425i	0.128634	+	0.991692i
$962$	16.8867			0.544450
$963$	16.0460	+	4.49908i	0.517074	+	0.144981i
$964$	−1.90708	−	8.97212i	−0.0614230	−	0.288972i
$965$	13.4029	+	10.8215i	0.431455	+	0.348357i
$966$	−0.893493	+	27.9435i	−0.0287477	+	0.899069i
$967$	6.76199	+	11.7121i	0.217451	+	0.376636i	0.954028	−	0.299718i	$-0.0968925\pi$
$967$	6.76199	+	11.7121i	0.217451	+	0.376636i	−0.736577	+	0.676354i	$0.763559\pi$
$968$	−14.0741	−	6.26618i	−0.452358	−	0.201403i
$969$	−0.643786	+	4.68067i	−0.0206814	+	0.150365i
$970$	−5.00393	−	6.16116i	−0.160667	−	0.197823i
$971$	−0.809870	+	3.81014i	−0.0259900	+	0.122273i	−0.989230	−	0.146369i	$-0.953241\pi$
$971$	−0.809870	+	3.81014i	−0.0259900	+	0.122273i	0.963240	+	0.268642i	$0.0865748\pi$
$972$	−8.52588	+	13.0503i	−0.273468	+	0.418587i
$973$	−39.7864	+	44.1873i	−1.27549	+	1.41658i
$974$	28.3245	+	31.4575i	0.907575	+	1.00796i
$975$	19.7816	+	15.2703i	0.633518	+	0.489042i
$976$	7.92486	+	2.57494i	0.253669	+	0.0824220i
$977$	−1.76581	+	5.43460i	−0.0564932	+	0.173868i	−0.975322	−	0.220789i	$-0.929137\pi$
$977$	−1.76581	+	5.43460i	−0.0564932	+	0.173868i	0.918828	+	0.394657i	$0.129137\pi$
$978$	9.90195	−	4.03458i	0.316629	−	0.129012i
$979$	33.4605	+	37.1616i	1.06940	+	1.18769i
$980$	−9.79199	+	19.2865i	−0.312794	+	0.616085i
$981$	38.3397	+	20.0971i	1.22409	+	0.641650i
$982$	−14.5236	−	3.08708i	−0.463466	−	0.0985127i
$983$	−16.5680	−	37.2123i	−0.528436	−	1.18689i	−0.958761	−	0.284213i	$-0.908268\pi$
$983$	−16.5680	−	37.2123i	−0.528436	−	1.18689i	0.430325	−	0.902674i	$-0.358399\pi$
$984$	0.521669	−	3.79282i	0.0166302	−	0.120911i
$985$	4.12154	−	26.2674i	0.131323	−	0.836949i
$986$	6.43226	−	3.71367i	0.204845	−	0.118267i
$987$	−64.5740	−	2.06475i	−2.05541	−	0.0657217i
$988$	4.52996	−	3.29121i	0.144117	−	0.104707i
$989$	9.60551	+	45.1904i	0.305437	+	1.43697i
$990$	34.4695	+	0.349080i	1.09551	+	0.0110945i
$991$		−	57.8327i		−	1.83712i	−0.395286	−	0.918558i	$-0.629354\pi$
$991$		−	57.8327i		−	1.83712i	0.395286	−	0.918558i	$-0.370646\pi$
$992$	−4.18256	−	3.67507i	−0.132796	−	0.116684i
$993$	−9.25237	−	17.2783i	−0.293615	−	0.548311i
$994$	9.16463	+	28.2058i	0.290684	+	0.894634i
$995$	−11.1005	−	21.7085i	−0.351909	−	0.688207i
$996$	9.97196	+	4.82738i	0.315974	+	0.152961i
$997$	−2.78694	−	1.60904i	−0.0882633	−	0.0509588i	0.455219	−	0.890380i	$-0.349561\pi$
$997$	−2.78694	−	1.60904i	−0.0882633	−	0.0509588i	−0.543482	+	0.839421i	$0.682894\pi$
$998$	−6.29507	+	3.63446i	−0.199267	+	0.115047i
$999$	−14.9711	+	26.4676i	−0.473666	+	0.837399i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bo.b.179.7	yes	256
3.2	odd	2		930.2.bo.a.179.3	✓	256
5.4	even	2		930.2.bo.a.179.26	yes	256
15.14	odd	2	inner	930.2.bo.b.179.30	yes	256
31.22	odd	30	inner	930.2.bo.b.239.30	yes	256
93.53	even	30		930.2.bo.a.239.26	yes	256
155.84	odd	30		930.2.bo.a.239.3	yes	256
465.239	even	30	inner	930.2.bo.b.239.7	yes	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bo.a.179.3	✓	256	3.2	odd	2
930.2.bo.a.179.26	yes	256	5.4	even	2
930.2.bo.a.239.3	yes	256	155.84	odd	30
930.2.bo.a.239.26	yes	256	93.53	even	30
930.2.bo.b.179.7	yes	256	1.1	even	1	trivial
930.2.bo.b.179.30	yes	256	15.14	odd	2	inner
930.2.bo.b.239.7	yes	256	465.239	even	30	inner
930.2.bo.b.239.30	yes	256	31.22	odd	30	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bo (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-1.32355 + 1.11724i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.575623 + 2.16071i) q^{5} +(1.47156 + 0.913521i) q^{6} +(-1.66082 + 3.73026i) q^{7} +(0.809017 + 0.587785i) q^{8} +(0.503549 - 2.95744i) q^{9} +O(q^{10})\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-1.32355 + 1.11724i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.575623 + 2.16071i) q^{5} +(1.47156 + 0.913521i) q^{6} +(-1.66082 + 3.73026i) q^{7} +(0.809017 + 0.587785i) q^{8} +(0.503549 - 2.95744i) q^{9} +(2.23283 - 0.120245i) q^{10} +(0.537138 + 5.11053i) q^{11} +(0.414074 - 1.68183i) q^{12} +(1.93083 + 2.14441i) q^{13} +(4.06091 + 0.426819i) q^{14} +(-1.65217 - 3.50291i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-1.39807 - 0.146943i) q^{17} +(-2.96830 + 0.434995i) q^{18} +(-1.29842 + 1.44204i) q^{19} +(-0.804343 - 2.08639i) q^{20} +(-1.96943 - 6.79271i) q^{21} +(4.69441 - 2.09009i) q^{22} +(2.32355 - 3.19809i) q^{23} +(-1.72747 + 0.125905i) q^{24} +(-4.33732 - 2.48751i) q^{25} +(1.44279 - 2.49899i) q^{26} +(2.63770 + 4.47689i) q^{27} +(-0.848962 - 3.99405i) q^{28} +(-1.63268 - 5.02488i) q^{29} +(-2.82091 + 2.65376i) q^{30} +(4.18256 + 3.67507i) q^{31} -1.00000 q^{32} +(-6.42061 - 6.16390i) q^{33} +(0.292276 + 1.37505i) q^{34} +(-7.10400 - 5.73577i) q^{35} +(1.33096 + 2.68860i) q^{36} +(2.92605 + 5.06807i) q^{37} +(1.77269 + 0.789253i) q^{38} +(-4.95136 - 0.681017i) q^{39} +(-1.73572 + 1.40971i) q^{40} +(-0.459568 + 2.16210i) q^{41} +(-5.85167 + 3.97210i) q^{42} +(-7.82022 + 8.68524i) q^{43} +(-3.43845 - 3.81878i) q^{44} +(6.10030 + 2.79039i) q^{45} +(-3.75958 - 1.22156i) q^{46} +(2.82288 - 8.68792i) q^{47} +(0.653560 + 1.60401i) q^{48} +(-6.47263 - 7.18858i) q^{49} +(-1.02546 + 4.89371i) q^{50} +(2.01458 - 1.36749i) q^{51} +(-2.82253 - 0.599946i) q^{52} +(-5.36950 - 12.0601i) q^{53} +(3.44268 - 3.89204i) q^{54} +(-11.3515 - 1.78114i) q^{55} +(-3.53623 + 2.04164i) q^{56} +(0.107412 - 3.35925i) q^{57} +(-4.27442 + 3.10555i) q^{58} +(-1.33230 - 6.26799i) q^{59} +(3.39559 + 1.86279i) q^{60} +8.33269i q^{61} +(2.20272 - 5.11351i) q^{62} +(10.1957 + 6.79014i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-5.74487 + 2.93759i) q^{65} +(-3.87814 + 8.01112i) q^{66} +(-0.0874105 - 0.0504665i) q^{67} +(1.21743 - 0.702884i) q^{68} +(0.497712 + 6.82879i) q^{69} +(-3.25979 + 8.52876i) q^{70} +(2.95418 + 6.63519i) q^{71} +(2.14572 - 2.09664i) q^{72} +(-0.821639 - 7.81737i) q^{73} +(3.91582 - 4.34896i) q^{74} +(8.51978 - 1.55349i) q^{75} +(0.202833 - 1.92982i) q^{76} +(-19.9557 - 6.48400i) q^{77} +(0.882369 + 4.91947i) q^{78} +(9.80520 + 1.03057i) q^{79} +(1.87708 + 1.21515i) q^{80} +(-8.49288 - 2.97843i) q^{81} +(2.19829 - 0.231050i) q^{82} +(-1.32990 + 6.25667i) q^{83} +(5.58596 + 4.33782i) q^{84} +(1.12226 - 2.93623i) q^{85} +(10.6767 + 4.75359i) q^{86} +(7.77493 + 4.82656i) q^{87} +(-2.56934 + 4.45022i) q^{88} +(7.87277 - 5.71990i) q^{89} +(0.768722 - 6.66401i) q^{90} +(-11.2060 + 3.64104i) q^{91} +3.95306i q^{92} +(-9.64176 - 0.191204i) q^{93} -9.13502 q^{94} +(-2.36842 - 3.63557i) q^{95} +(1.32355 - 1.11724i) q^{96} +(-2.08642 - 2.87171i) q^{97} +(-4.83660 + 8.37723i) q^{98} +(15.3845 + 0.984846i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) \) 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9	\( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) \) 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9 - 2 * q^10 - 10 * q^15 - 64 * q^16 + 6 * q^17 + 6 * q^18 - 4 * q^19 - 3 * q^20 - 20 * q^23 - 2 * q^25 + 42 * q^31 - 256 * q^32 - 8 * q^33 + 14 * q^34 + 16 * q^35 + 4 * q^36 - 36 * q^38 + 8 * q^39 + 3 * q^40 + 55 * q^45 - 10 * q^46 + 6 * q^47 - 40 * q^49 + 7 * q^50 + 68 * q^51 + 34 * q^53 + 6 * q^57 + 10 * q^60 - 2 * q^62 + 72 * q^63 - 64 * q^64 + 8 * q^66 + 6 * q^68 + 10 * q^69 - 16 * q^70 + 6 * q^72 - 80 * q^75 - 24 * q^76 - 100 * q^77 - 8 * q^78 + 40 * q^79 + 2 * q^80 + 12 * q^81 + 26 * q^83 - 30 * q^85 - 16 * q^87 - 25 * q^90 - 20 * q^91 + 22 * q^93 + 4 * q^94 - 56 * q^95 - 130 * q^98 + 102 * q^99

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