LMFDB - Embedded newform 232.2.v.a.11.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [232,2,Mod(3,232)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(232, base_ring=CyclotomicField(28))

chi = DirichletCharacter(H, H._module([14, 14, 5]))

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

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

chi := DirichletCharacter("232.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 232 = 2^{3} \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	232.v (of order $28$, degree $12$, 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:	$1.85252932689$
Analytic rank:	$0$
Dimension:	$336$
Relative dimension:	$28$ over $\Q(\zeta_{28})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label			11.7
Character	$\chi$	$=$	232.11
Dual form			232.2.v.a.211.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.14840 + 0.825338i) q^{2} +(0.0652453 + 0.579068i) q^{3} +(0.637636 - 1.89563i) q^{4} +(-2.49227 - 1.20021i) q^{5} +(-0.552854 - 0.611151i) q^{6} +(-0.0752512 - 0.0600108i) q^{7} +(0.832277 + 2.70320i) q^{8} +(2.59372 - 0.592000i) q^{9} +O(q^{10})$	\(q+(-1.14840 + 0.825338i) q^{2} +(0.0652453 + 0.579068i) q^{3} +(0.637636 - 1.89563i) q^{4} +(-2.49227 - 1.20021i) q^{5} +(-0.552854 - 0.611151i) q^{6} +(-0.0752512 - 0.0600108i) q^{7} +(0.832277 + 2.70320i) q^{8} +(2.59372 - 0.592000i) q^{9} +(3.85270 - 0.678641i) q^{10} +(-2.17038 - 3.45414i) q^{11} +(1.13930 + 0.245553i) q^{12} +(1.17320 - 5.14011i) q^{13} +(0.135947 + 0.00680867i) q^{14} +(0.532397 - 1.52150i) q^{15} +(-3.18684 - 2.41745i) q^{16} +(0.426909 - 0.426909i) q^{17} +(-2.49002 + 2.82055i) q^{18} +(5.09787 + 0.574392i) q^{19} +(-3.86433 + 3.95913i) q^{20} +(0.0298406 - 0.0474910i) q^{21} +(5.34330 + 2.17543i) q^{22} +(-0.176260 - 0.366007i) q^{23} +(-1.51104 + 0.658316i) q^{24} +(1.65345 + 2.07336i) q^{25} +(2.89503 + 6.87117i) q^{26} +(1.08943 + 3.11341i) q^{27} +(-0.161741 + 0.104383i) q^{28} +(-0.583533 - 5.35346i) q^{29} +(0.644350 + 2.18670i) q^{30} +(0.0855212 + 0.244405i) q^{31} +(5.65497 + 0.145970i) q^{32} +(1.85858 - 1.48217i) q^{33} +(-0.137917 + 0.842606i) q^{34} +(0.115520 + 0.239881i) q^{35} +(0.531636 - 5.29422i) q^{36} +(-3.40550 - 2.13981i) q^{37} +(-6.32845 + 3.54783i) q^{38} +(3.05302 + 0.343992i) q^{39} +(1.17017 - 7.73603i) q^{40} +(-4.88569 - 4.88569i) q^{41} +(0.00492725 + 0.0791671i) q^{42} +(-1.49400 + 4.26960i) q^{43} +(-7.93170 + 1.91176i) q^{44} +(-7.17478 - 1.63760i) q^{45} +(0.504495 + 0.274848i) q^{46} +(6.43343 + 10.2387i) q^{47} +(1.19194 - 2.00312i) q^{48} +(-1.55559 - 6.81546i) q^{49} +(-3.61004 - 1.01639i) q^{50} +(0.275063 + 0.219356i) q^{51} +(-8.99568 - 5.50146i) q^{52} +(-3.39510 + 7.04999i) q^{53} +(-3.82071 - 2.67629i) q^{54} +(1.26347 + 11.2136i) q^{55} +(0.0995917 - 0.253365i) q^{56} +2.98949i q^{57} +(5.08854 + 5.66629i) q^{58} -12.0494 q^{59} +(-2.54473 - 1.97939i) q^{60} +(4.15227 - 0.467848i) q^{61} +(-0.299929 - 0.210091i) q^{62} +(-0.230707 - 0.111103i) q^{63} +(-6.61463 + 4.49963i) q^{64} +(-9.09315 + 11.4025i) q^{65} +(-0.911099 + 3.23607i) q^{66} +(6.00874 - 1.37146i) q^{67} +(-0.537050 - 1.08148i) q^{68} +(0.200443 - 0.125947i) q^{69} +(-0.330646 - 0.180135i) q^{70} +(1.93806 - 8.49120i) q^{71} +(3.75899 + 6.51865i) q^{72} +(-1.92459 - 0.673445i) q^{73} +(5.67693 - 0.353324i) q^{74} +(-1.09274 + 1.09274i) q^{75} +(4.33942 - 9.29743i) q^{76} +(-0.0439621 + 0.390175i) q^{77} +(-3.78999 + 2.12473i) q^{78} +(-3.66556 + 5.83371i) q^{79} +(5.04102 + 9.84982i) q^{80} +(5.45908 - 2.62895i) q^{81} +(9.64307 + 1.57837i) q^{82} +(-5.25691 - 6.59196i) q^{83} +(-0.0709980 - 0.0868487i) q^{84} +(-1.57636 + 0.551591i) q^{85} +(-1.80816 - 6.13625i) q^{86} +(3.06194 - 0.687193i) q^{87} +(7.53090 - 8.74179i) q^{88} +(6.45297 - 2.25799i) q^{89} +(9.59107 - 4.04100i) q^{90} +(-0.396746 + 0.316395i) q^{91} +(-0.806204 + 0.100744i) q^{92} +(-0.135948 + 0.0654689i) q^{93} +(-15.8386 - 6.44841i) q^{94} +(-12.0159 - 7.55007i) q^{95} +(0.284434 + 3.28414i) q^{96} +(-0.0586056 + 0.520139i) q^{97} +(7.41149 + 6.54298i) q^{98} +(-7.67422 - 7.67422i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 336 q - 14 q^{2} - 24 q^{3} - 14 q^{4} - 14 q^{6} - 8 q^{8} - 28 q^{9}+O(q^{10}) $ 336 * q - 14 * q^2 - 24 * q^3 - 14 * q^4 - 14 * q^6 - 8 * q^8 - 28 * q^9	$ 336 q - 14 q^{2} - 24 q^{3} - 14 q^{4} - 14 q^{6} - 8 q^{8} - 28 q^{9} - 8 q^{10} - 32 q^{11} - 24 q^{12} - 14 q^{14} + 10 q^{16} - 28 q^{17} - 20 q^{18} - 24 q^{19} + 6 q^{20} - 14 q^{22} + 2 q^{24} - 52 q^{25} + 8 q^{26} - 60 q^{27} - 8 q^{30} - 4 q^{32} - 28 q^{33} - 14 q^{34} - 28 q^{35} - 38 q^{36} - 14 q^{38} - 20 q^{41} - 14 q^{42} - 16 q^{43} + 42 q^{44} - 56 q^{46} + 32 q^{48} + 12 q^{49} - 78 q^{50} - 28 q^{51} + 74 q^{52} - 124 q^{54} + 36 q^{56} - 158 q^{58} - 48 q^{59} + 200 q^{60} - 112 q^{62} + 112 q^{64} + 20 q^{65} - 136 q^{66} - 28 q^{67} + 60 q^{68} - 182 q^{70} + 48 q^{72} - 4 q^{73} - 16 q^{74} + 64 q^{75} - 10 q^{76} + 50 q^{78} - 14 q^{80} - 28 q^{81} + 10 q^{82} - 20 q^{83} - 36 q^{84} - 80 q^{88} - 28 q^{89} - 28 q^{90} - 28 q^{91} - 14 q^{92} - 106 q^{94} + 28 q^{96} - 32 q^{97} + 12 q^{98} - 32 q^{99}+O(q^{100}) $ 336 * q - 14 * q^2 - 24 * q^3 - 14 * q^4 - 14 * q^6 - 8 * q^8 - 28 * q^9 - 8 * q^10 - 32 * q^11 - 24 * q^12 - 14 * q^14 + 10 * q^16 - 28 * q^17 - 20 * q^18 - 24 * q^19 + 6 * q^20 - 14 * q^22 + 2 * q^24 - 52 * q^25 + 8 * q^26 - 60 * q^27 - 8 * q^30 - 4 * q^32 - 28 * q^33 - 14 * q^34 - 28 * q^35 - 38 * q^36 - 14 * q^38 - 20 * q^41 - 14 * q^42 - 16 * q^43 + 42 * q^44 - 56 * q^46 + 32 * q^48 + 12 * q^49 - 78 * q^50 - 28 * q^51 + 74 * q^52 - 124 * q^54 + 36 * q^56 - 158 * q^58 - 48 * q^59 + 200 * q^60 - 112 * q^62 + 112 * q^64 + 20 * q^65 - 136 * q^66 - 28 * q^67 + 60 * q^68 - 182 * q^70 + 48 * q^72 - 4 * q^73 - 16 * q^74 + 64 * q^75 - 10 * q^76 + 50 * q^78 - 14 * q^80 - 28 * q^81 + 10 * q^82 - 20 * q^83 - 36 * q^84 - 80 * q^88 - 28 * q^89 - 28 * q^90 - 28 * q^91 - 14 * q^92 - 106 * q^94 + 28 * q^96 - 32 * q^97 + 12 * q^98 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/232\mathbb{Z}\right)^\times$.

$n$	$89$	$117$	$175$
$\chi(n)$	$e\left(\frac{25}{28}\right)$	$-1$	$-1$

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 $

$2$	−1.14840	+	0.825338i	−0.812040	+	0.583602i
$2$	−1.14840	+	0.825338i	−0.812040	+	0.583602i
$3$	0.0652453	+	0.579068i	0.0376694	+	0.334325i	0.998386	+	0.0567936i	$0.0180877\pi$
$3$	0.0652453	+	0.579068i	0.0376694	+	0.334325i	−0.960717	+	0.277531i	$0.910484\pi$
$4$	0.637636	−	1.89563i	0.318818	−	0.947816i
$5$	−2.49227	−	1.20021i	−1.11458	−	0.536752i	−0.216364	−	0.976313i	$-0.569420\pi$
$5$	−2.49227	−	1.20021i	−1.11458	−	0.536752i	−0.898213	+	0.439561i	$0.855134\pi$
$6$	−0.552854	−	0.611151i	−0.225702	−	0.249501i
$7$	−0.0752512	−	0.0600108i	−0.0284423	−	0.0226820i	0.609166	−	0.793043i	$-0.291505\pi$
$7$	−0.0752512	−	0.0600108i	−0.0284423	−	0.0226820i	−0.637608	+	0.770361i	$0.720076\pi$
$8$	0.832277	+	2.70320i	0.294254	+	0.955727i
$9$	2.59372	−	0.592000i	0.864574	−	0.197333i
$10$	3.85270	−	0.678641i	1.21833	−	0.214605i
$11$	−2.17038	−	3.45414i	−0.654395	−	1.04146i	−0.994865	−	0.101208i	$-0.967729\pi$
$11$	−2.17038	−	3.45414i	−0.654395	−	1.04146i	0.340470	−	0.940255i	$-0.389414\pi$
$12$	1.13930	+	0.245553i	0.328888	+	0.0708852i
$13$	1.17320	−	5.14011i	0.325386	−	1.42561i	−0.502434	−	0.864616i	$-0.667562\pi$
$13$	1.17320	−	5.14011i	0.325386	−	1.42561i	0.827820	−	0.560994i	$-0.189581\pi$
$14$	0.135947	+	0.00680867i	0.0363335	+	0.00181969i
$15$	0.532397	−	1.52150i	0.137464	−	0.392850i
$16$	−3.18684	−	2.41745i	−0.796710	−	0.604361i
$17$	0.426909	−	0.426909i	0.103541	−	0.103541i	−0.653439	−	0.756979i	$-0.726674\pi$
$17$	0.426909	−	0.426909i	0.103541	−	0.103541i	0.756979	+	0.653439i	$0.226674\pi$
$18$	−2.49002	+	2.82055i	−0.586904	+	0.664809i
$19$	5.09787	+	0.574392i	1.16953	+	0.131774i	0.675291	−	0.737551i	$-0.264018\pi$
$19$	5.09787	+	0.574392i	1.16953	+	0.131774i	0.494240	+	0.869326i	$0.335447\pi$
$20$	−3.86433	+	3.95913i	−0.864089	+	0.885288i
$21$	0.0298406	−	0.0474910i	0.00651174	−	0.0103634i
$22$	5.34330	+	2.17543i	1.13919	+	0.463804i
$23$	−0.176260	−	0.366007i	−0.0367527	−	0.0763177i	0.881784	−	0.471653i	$-0.156343\pi$
$23$	−0.176260	−	0.366007i	−0.0367527	−	0.0763177i	−0.918537	+	0.395336i	$0.870628\pi$
$24$	−1.51104	+	0.658316i	−0.308439	+	0.134378i
$25$	1.65345	+	2.07336i	0.330690	+	0.414672i
$26$	2.89503	+	6.87117i	0.567762	+	1.34755i
$27$	1.08943	+	3.11341i	0.209661	+	0.599176i
$28$	−0.161741	+	0.104383i	−0.0305662	+	0.0197266i
$29$	−0.583533	−	5.35346i	−0.108359	−	0.994112i
$29$	−0.583533	−	5.35346i	−0.108359	−	0.994112i
$30$	0.644350	+	2.18670i	0.117642	+	0.399234i
$31$	0.0855212	+	0.244405i	0.0153601	+	0.0438965i	0.951308	−	0.308242i	$-0.0997405\pi$
$31$	0.0855212	+	0.244405i	0.0153601	+	0.0438965i	−0.935948	+	0.352138i	$0.885455\pi$
$32$	5.65497	+	0.145970i	0.999667	+	0.0258041i
$33$	1.85858	−	1.48217i	0.323537	−	0.258012i
$34$	−0.137917	+	0.842606i	−0.0236527	+	0.144506i
$35$	0.115520	+	0.239881i	0.0195265	+	0.0405472i
$36$	0.531636	−	5.29422i	0.0886059	−	0.882370i
$37$	−3.40550	−	2.13981i	−0.559860	−	0.351783i	0.222186	−	0.975004i	$-0.428681\pi$
$37$	−3.40550	−	2.13981i	−0.559860	−	0.351783i	−0.782046	+	0.623221i	$0.785824\pi$
$38$	−6.32845	+	3.54783i	−1.02661	+	0.575534i
$39$	3.05302	+	0.343992i	0.488874	+	0.0550829i
$40$	1.17017	−	7.73603i	0.185020	−	1.22317i
$41$	−4.88569	−	4.88569i	−0.763017	−	0.763017i	0.213850	−	0.976867i	$-0.431400\pi$
$41$	−4.88569	−	4.88569i	−0.763017	−	0.763017i	−0.976867	+	0.213850i	$0.931400\pi$
$42$	0.00492725	+	0.0791671i	0.000760291	+	0.0122157i
$43$	−1.49400	+	4.26960i	−0.227832	+	0.651107i	0.772047	+	0.635566i	$0.219233\pi$
$43$	−1.49400	+	4.26960i	−0.227832	+	0.651107i	−0.999879	+	0.0155418i	$0.995053\pi$
$44$	−7.93170	+	1.91176i	−1.19575	+	0.288209i
$45$	−7.17478	−	1.63760i	−1.06955	−	0.244119i
$46$	0.504495	+	0.274848i	0.0743838	+	0.0405241i
$47$	6.43343	+	10.2387i	0.938413	+	1.49347i	0.868362	+	0.495932i	$0.165173\pi$
$47$	6.43343	+	10.2387i	0.938413	+	1.49347i	0.0700509	+	0.997543i	$0.477684\pi$
$48$	1.19194	−	2.00312i	0.172042	−	0.289126i
$49$	−1.55559	−	6.81546i	−0.222226	−	0.973638i
$50$	−3.61004	−	1.01639i	−0.510536	−	0.143739i
$51$	0.275063	+	0.219356i	0.0385166	+	0.0307159i
$52$	−8.99568	−	5.50146i	−1.24748	−	0.762916i
$53$	−3.39510	+	7.04999i	−0.466352	+	0.968390i	0.526626	+	0.850097i	$0.323457\pi$
$53$	−3.39510	+	7.04999i	−0.466352	+	0.968390i	−0.992979	+	0.118294i	$0.962258\pi$
$54$	−3.82071	−	2.67629i	−0.519933	−	0.364196i
$55$	1.26347	+	11.2136i	0.170366	+	1.51204i
$56$	0.0995917	−	0.253365i	0.0133085	−	0.0338573i
$57$			2.98949i			0.395967i
$58$	5.08854	+	5.66629i	0.668158	+	0.744020i
$59$	−12.0494			−1.56870			−0.784349	−	0.620319i	$-0.787003\pi$
$59$	−12.0494			−1.56870			−0.784349	+	0.620319i	$0.787003\pi$
$60$	−2.54473	−	1.97939i	−0.328524	−	0.255539i
$61$	4.15227	−	0.467848i	0.531644	−	0.0599019i	0.157938	−	0.987449i	$-0.449515\pi$
$61$	4.15227	−	0.467848i	0.531644	−	0.0599019i	0.373706	+	0.927547i	$0.378087\pi$
$62$	−0.299929	−	0.210091i	−0.0380911	−	0.0266816i
$63$	−0.230707	−	0.111103i	−0.0290663	−	0.0139976i
$64$	−6.61463	+	4.49963i	−0.826829	+	0.562453i
$65$	−9.09315	+	11.4025i	−1.12787	+	1.41430i
$66$	−0.911099	+	3.23607i	−0.112149	+	0.398333i
$67$	6.00874	−	1.37146i	0.734085	−	0.167550i	0.160894	−	0.986972i	$-0.448562\pi$
$67$	6.00874	−	1.37146i	0.734085	−	0.167550i	0.573191	+	0.819422i	$0.305705\pi$
$68$	−0.537050	−	1.08148i	−0.0651269	−	0.131148i
$69$	0.200443	−	0.125947i	0.0241305	−	0.0151622i
$70$	−0.330646	−	0.180135i	−0.0395198	−	0.0215303i
$71$	1.93806	−	8.49120i	0.230005	−	1.00772i	−0.719629	−	0.694359i	$-0.755688\pi$
$71$	1.93806	−	8.49120i	0.230005	−	1.00772i	0.949634	−	0.313361i	$-0.101455\pi$
$72$	3.75899	+	6.51865i	0.443001	+	0.768230i
$73$	−1.92459	−	0.673445i	−0.225257	−	0.0788207i	0.215291	−	0.976550i	$-0.430930\pi$
$73$	−1.92459	−	0.673445i	−0.225257	−	0.0788207i	−0.440548	+	0.897729i	$0.645216\pi$
$74$	5.67693	−	0.353324i	0.659930	−	0.0410731i
$75$	−1.09274	+	1.09274i	−0.126178	+	0.126178i
$76$	4.33942	−	9.29743i	0.497765	−	1.06649i
$77$	−0.0439621	+	0.390175i	−0.00500995	+	0.0444645i
$78$	−3.78999	+	2.12473i	−0.429132	+	0.240578i
$79$	−3.66556	+	5.83371i	−0.412408	+	0.656343i	−0.986746	−	0.162275i	$-0.948117\pi$
$79$	−3.66556	+	5.83371i	−0.412408	+	0.656343i	0.574338	+	0.818618i	$0.305260\pi$
$80$	5.04102	+	9.84982i	0.563603	+	1.10124i
$81$	5.45908	−	2.62895i	0.606564	−	0.292106i
$82$	9.64307	+	1.57837i	1.06490	+	0.174302i
$83$	−5.25691	−	6.59196i	−0.577021	−	0.723562i	0.404580	−	0.914502i	$-0.367418\pi$
$83$	−5.25691	−	6.59196i	−0.577021	−	0.723562i	−0.981602	+	0.190941i	$0.938846\pi$
$84$	−0.0709980	−	0.0868487i	−0.00774652	−	0.00947597i
$85$	−1.57636	+	0.551591i	−0.170980	+	0.0598284i
$86$	−1.80816	−	6.13625i	−0.194978	−	0.661689i
$87$	3.06194	−	0.687193i	0.328275	−	0.0736748i
$88$	7.53090	−	8.74179i	0.802797	−	0.931878i
$89$	6.45297	−	2.25799i	0.684013	−	0.239347i	0.0341712	−	0.999416i	$-0.489121\pi$
$89$	6.45297	−	2.25799i	0.684013	−	0.239347i	0.649842	+	0.760069i	$0.274835\pi$
$90$	9.59107	−	4.04100i	1.01099	−	0.425959i
$91$	−0.396746	+	0.316395i	−0.0415903	+	0.0331672i
$92$	−0.806204	+	0.100744i	−0.0840525	+	0.0105033i
$93$	−0.135948	+	0.0654689i	−0.0140971	+	0.00678881i
$94$	−15.8386	−	6.44841i	−1.63362	−	0.665102i
$95$	−12.0159	−	7.55007i	−1.23280	−	0.774621i
$96$	0.284434	+	3.28414i	0.0290299	+	0.335186i
$97$	−0.0586056	+	0.520139i	−0.00595050	+	0.0528122i	−0.996337	−	0.0855189i	$-0.972745\pi$
$97$	−0.0586056	+	0.520139i	−0.00595050	+	0.0528122i	0.990386	+	0.138331i	$0.0441738\pi$
$98$	7.41149	+	6.54298i	0.748673	+	0.660941i
$99$	−7.67422	−	7.67422i	−0.771288	−	0.771288i
$100$	4.98462	−	1.81228i	0.498462	−	0.181228i
$101$	17.7106	+	6.19722i	1.76227	+	0.616646i	0.999548	−	0.0300747i	$-0.00957450\pi$
$101$	17.7106	+	6.19722i	1.76227	+	0.616646i	0.762727	+	0.646721i	$0.223860\pi$
$102$	−0.496925	−	0.0248875i	−0.0492029	−	0.00246423i
$103$	16.2645	+	3.71227i	1.60259	+	0.365781i	0.928050	−	0.372455i	$-0.121484\pi$
$103$	16.2645	+	3.71227i	1.60259	+	0.365781i	0.674542	+	0.738237i	$0.264341\pi$
$104$	14.8712	−	1.10660i	1.45824	−	0.108511i
$105$	−0.131370	+	0.0825453i	−0.0128204	+	0.00805559i
$106$	−1.91970	−	10.8983i	−0.186458	−	1.05854i
$107$	3.07888	+	13.4894i	0.297646	+	1.30407i	0.873622	+	0.486606i	$0.161765\pi$
$107$	3.07888	+	13.4894i	0.297646	+	1.30407i	−0.575975	+	0.817467i	$0.695378\pi$
$108$	6.59654	−	0.0799351i	0.634752	−	0.00769176i
$109$	−9.88459	+	12.3949i	−0.946772	+	1.18721i	0.0354269	+	0.999372i	$0.488721\pi$
$109$	−9.88459	+	12.3949i	−0.946772	+	1.18721i	−0.982199	+	0.187843i	$0.939851\pi$
$110$	−10.7060	−	11.8349i	−1.02077	−	1.12841i
$111$	1.01691	−	2.11163i	0.0965204	−	0.200427i
$112$	0.0947406	+	0.373161i	0.00895215	+	0.0352604i
$113$	12.6916	−	1.43000i	1.19392	−	0.134523i	0.507453	−	0.861680i	$-0.330587\pi$
$113$	12.6916	−	1.43000i	1.19392	−	0.134523i	0.686472	+	0.727157i	$0.259159\pi$
$114$	−2.46734	−	3.43312i	−0.231087	−	0.321541i
$115$			1.12374i			0.104789i
$116$	−10.5203	−	2.30739i	−0.976782	−	0.214236i
$117$		−	14.0265i		−	1.29675i
$118$	13.8375	−	9.94482i	1.27385	−	0.915495i
$119$	−0.0577446	+	0.00650625i	−0.00529344	+	0.000596427i
$120$	4.55603	+	0.172867i	0.415907	+	0.0157805i
$121$	−2.44783	+	5.08297i	−0.222530	+	0.462088i
$122$	−4.38233	+	3.96430i	−0.396757	+	0.358911i
$123$	2.51038	−	3.14792i	0.226353	−	0.283838i
$124$	0.517834	−	0.00627498i	0.0465029	−	0.000563510i
$125$	1.44533	+	6.33242i	0.129275	+	0.566389i
$126$	0.356641	−	0.0628211i	0.0317721	−	0.00559655i
$127$	0.193454	−	0.121555i	0.0171663	−	0.0107863i	−0.523422	−	0.852074i	$-0.675345\pi$
$127$	0.193454	−	0.121555i	0.0171663	−	0.0107863i	0.540588	+	0.841288i	$0.318202\pi$
$128$	3.88252	−	10.6267i	0.343169	−	0.939274i
$129$	−2.56986	−	0.586555i	−0.226264	−	0.0516433i
$130$	1.03169	−	20.5995i	0.0904848	−	1.80669i
$131$	11.5437	+	4.03932i	1.00858	+	0.352917i	0.783478	−	0.621419i	$-0.213443\pi$
$131$	11.5437	+	4.03932i	1.00858	+	0.352917i	0.225100	+	0.974336i	$0.427729\pi$
$132$	−1.62455	−	4.46826i	−0.141399	−	0.388912i
$133$	−0.349151	−	0.349151i	−0.0302752	−	0.0302752i
$134$	−5.76851	+	6.53422i	−0.498324	+	0.564471i
$135$	1.02161	−	9.06701i	0.0879259	−	0.780364i
$136$	1.50933	+	0.798716i	0.129424	+	0.0684894i
$137$	−1.44232	−	0.906272i	−0.123226	−	0.0774280i	0.469009	−	0.883194i	$-0.344611\pi$
$137$	−1.44232	−	0.906272i	−0.123226	−	0.0774280i	−0.592235	+	0.805766i	$0.701754\pi$
$138$	−0.126240	+	0.310070i	−0.0107462	+	0.0263949i
$139$	−3.06263	+	1.47488i	−0.259769	+	0.125098i	−0.559236	−	0.829009i	$-0.688905\pi$
$139$	−3.06263	+	1.47488i	−0.259769	+	0.125098i	0.299467	+	0.954107i	$0.403191\pi$
$140$	0.528385	−	0.0660277i	0.0446567	−	0.00558036i
$141$	−5.50918	+	4.39343i	−0.463957	+	0.369993i
$142$	4.78244	+	11.3508i	0.401333	+	0.952540i
$143$	−20.3010	+	7.10361i	−1.69765	+	0.594034i
$144$	−9.69690	−	4.38357i	−0.808075	−	0.365298i
$145$	−4.97097	+	14.0426i	−0.412817	+	1.16618i
$146$	2.76602	−	0.815058i	0.228917	−	0.0674546i
$147$	3.84512	−	1.34547i	0.317140	−	0.110972i
$148$	−6.22777	+	5.09114i	−0.511919	+	0.418489i
$149$	5.67350	+	7.11434i	0.464791	+	0.582829i	0.957887	−	0.287146i	$-0.0927063\pi$
$149$	5.67350	+	7.11434i	0.464791	+	0.582829i	−0.493096	+	0.869975i	$0.664135\pi$
$150$	0.353020	−	2.15677i	0.0288239	−	0.176100i
$151$	5.07739	−	2.44514i	0.413192	−	0.198983i	−0.215727	−	0.976454i	$-0.569212\pi$
$151$	5.07739	−	2.44514i	0.413192	−	0.198983i	0.628919	+	0.777471i	$0.283498\pi$
$152$	2.69014	+	14.2586i	0.218199	+	1.15653i
$153$	0.854553	−	1.36001i	0.0690865	−	0.109951i
$154$	−0.271540	−	0.484360i	−0.0218813	−	0.0390308i
$155$	0.0801970	−	0.711768i	0.00644158	−	0.0571706i
$156$	2.59880	−	5.56806i	0.208070	−	0.445801i
$157$	12.6928	−	12.6928i	1.01300	−	1.01300i	0.0130835	−	0.999914i	$-0.495835\pi$
$157$	12.6928	−	12.6928i	1.01300	−	1.01300i	0.999914	−	0.0130835i	$-0.00416473\pi$
$158$	−0.605254	−	9.72474i	−0.0481515	−	0.773659i
$159$	−4.30394	−	1.50601i	−0.341324	−	0.119435i
$160$	−13.9185	−	7.15097i	−1.10036	−	0.565334i
$161$	−0.00870062	+	0.0381199i	−0.000685705	+	0.00300427i
$162$	−4.09942	+	7.52467i	−0.322081	+	0.591194i
$163$	−1.95373	+	1.22761i	−0.153028	+	0.0961540i	−0.606369	−	0.795183i	$-0.707375\pi$
$163$	−1.95373	+	1.22761i	−0.153028	+	0.0961540i	0.453341	+	0.891337i	$0.350232\pi$
$164$	−12.3768	+	6.14618i	−0.966463	+	0.479936i
$165$	−6.41099	+	1.46327i	−0.499095	+	0.113915i
$166$	11.4776	+	3.23147i	0.890836	+	0.250810i
$167$	−3.87908	+	4.86421i	−0.300172	+	0.376404i	−0.908928	−	0.416954i	$-0.863098\pi$
$167$	−3.87908	+	4.86421i	−0.300172	+	0.376404i	0.608756	+	0.793358i	$0.291669\pi$
$168$	0.153213	+	0.0411395i	0.0118207	+	0.00317398i
$169$	−13.3317	−	6.42022i	−1.02552	−	0.493863i
$170$	1.35504	−	1.93447i	0.103926	−	0.148367i
$171$	13.5625	−	1.52812i	1.03715	−	0.116859i
$172$	7.14096	+	5.55452i	0.544493	+	0.423528i
$173$	16.6701			1.26741			0.633703	−	0.773576i	$-0.281534\pi$
$173$	16.6701			1.26741			0.633703	+	0.773576i	$0.281534\pi$
$174$	−2.94916	+	3.31631i	−0.223575	+	0.251409i
$175$		−	0.255247i		−	0.0192949i
$176$	−1.43354	+	16.2546i	−0.108057	+	1.22524i
$177$	−0.786167	−	6.97742i	−0.0590919	−	0.524455i
$178$	−5.54697	+	7.91895i	−0.415763	+	0.593550i
$179$	6.72152	−	13.9574i	0.502390	−	1.04322i	−0.483424	−	0.875386i	$-0.660607\pi$
$179$	6.72152	−	13.9574i	0.502390	−	1.04322i	0.985815	−	0.167838i	$-0.0536786\pi$
$180$	−7.67918	+	12.5566i	−0.572372	+	0.935910i
$181$	2.95835	+	2.35921i	0.219892	+	0.175358i	0.727240	−	0.686383i	$-0.240803\pi$
$181$	2.95835	+	2.35921i	0.219892	+	0.175358i	−0.507348	+	0.861741i	$0.669374\pi$
$182$	0.194490	−	0.690797i	0.0144166	−	0.0512053i
$183$	0.541832	+	2.37392i	0.0400534	+	0.175485i
$184$	0.842695	−	0.781085i	0.0621243	−	0.0575823i
$185$	5.91918	+	9.42032i	0.435187	+	0.692596i
$186$	0.102088	−	0.187387i	0.00748545	−	0.0137399i
$187$	−2.40116	−	0.548050i	−0.175590	−	0.0400774i
$188$	23.5111	−	5.66683i	1.71472	−	0.413296i
$189$	0.104857	−	0.299665i	0.00762725	−	0.0217974i
$190$	20.0304	−	1.24666i	1.45315	−	0.0904423i
$191$	−16.4803	−	16.4803i	−1.19247	−	1.19247i	−0.976370	−	0.216104i	$-0.930665\pi$
$191$	−16.4803	−	16.4803i	−1.19247	−	1.19247i	−0.216104	−	0.976370i	$-0.569335\pi$
$192$	−3.03716	−	3.53674i	−0.219188	−	0.255242i
$193$	−19.2223	−	2.16583i	−1.38365	−	0.155900i	−0.611452	−	0.791281i	$-0.709414\pi$
$193$	−19.2223	−	2.16583i	−1.38365	−	0.155900i	−0.772199	+	0.635381i	$0.780843\pi$
$194$	−0.361988	−	0.645697i	−0.0259892	−	0.0463583i
$195$	−7.19608	−	4.52160i	−0.515322	−	0.323798i
$196$	−13.9115	−	1.39697i	−0.993679	−	0.0997834i
$197$	−2.16723	−	4.50029i	−0.154408	−	0.320632i	0.809387	−	0.587276i	$-0.199800\pi$
$197$	−2.16723	−	4.50029i	−0.154408	−	0.320632i	−0.963795	+	0.266644i	$0.914085\pi$
$198$	15.1469	+	2.47924i	1.07644	+	0.176192i
$199$	3.18411	−	2.53924i	0.225716	−	0.180002i	−0.504102	−	0.863644i	$-0.668176\pi$
$199$	3.18411	−	2.53924i	0.225716	−	0.180002i	0.729818	+	0.683642i	$0.239605\pi$
$200$	−4.22859	+	6.19522i	−0.299006	+	0.438068i
$201$	1.18621	+	3.38999i	0.0836687	+	0.239111i
$202$	−25.4537	+	7.50038i	−1.79091	+	0.527725i
$203$	−0.277354	+	0.437872i	−0.0194664	+	0.0307326i
$204$	0.591208	−	0.381550i	0.0413928	−	0.0267138i
$205$	6.31259	+	18.0403i	0.440890	+	1.25999i
$206$	−21.7420	+	9.16056i	−1.51484	+	0.638247i
$207$	−0.673844	−	0.844974i	−0.0468354	−	0.0587297i
$208$	−16.1647	+	13.5446i	−1.12082	+	0.939147i
$209$	−9.08029	−	18.8554i	−0.628097	−	1.30426i
$210$	0.0827374	−	0.203219i	0.00570942	−	0.0140235i
$211$	−14.3192	+	22.7889i	−0.985774	+	1.56885i	−0.174109	+	0.984726i	$0.555705\pi$
$211$	−14.3192	+	22.7889i	−0.985774	+	1.56885i	−0.811665	+	0.584124i	$0.801438\pi$
$212$	11.1993	+	10.9312i	0.769174	+	0.750756i
$213$	5.04343	+	0.568258i	0.345570	+	0.0389364i
$214$	−14.6691	−	12.9501i	−1.00276	−	0.885253i
$215$	8.84787	−	8.84787i	0.603420	−	0.603420i
$216$	−7.50948	+	5.53617i	−0.510955	+	0.376688i
$217$	0.00823140	−	0.0235240i	0.000558784	−	0.00159691i
$218$	1.12148	−	22.3924i	0.0759562	−	1.51660i
$219$	0.264400	−	1.15841i	0.0178665	−	0.0782781i
$220$	22.0625	+	4.75511i	1.48745	+	0.320590i
$221$	−1.69351	−	2.69521i	−0.113918	−	0.181299i
$222$	0.574992	+	3.26428i	0.0385909	+	0.219084i
$223$	−19.5147	+	4.45410i	−1.30680	+	0.298269i	−0.818551	−	0.574434i	$-0.805222\pi$
$223$	−19.5147	+	4.45410i	−1.30680	+	0.298269i	−0.488251	+	0.872703i	$0.662365\pi$
$224$	−0.416783	−	0.350344i	−0.0278475	−	0.0234083i
$225$	5.51601	+	4.39887i	0.367734	+	0.293258i
$226$	−13.3948	+	12.1171i	−0.891006	+	0.806014i
$227$	−3.38327	−	1.62930i	−0.224555	−	0.108140i	0.318224	−	0.948016i	$-0.396914\pi$
$227$	−3.38327	−	1.62930i	−0.224555	−	0.108140i	−0.542779	+	0.839875i	$0.682628\pi$
$228$	5.66697	+	1.90620i	0.375304	+	0.126241i
$229$	0.914022	+	8.11217i	0.0604003	+	0.536067i	0.987081	+	0.160219i	$0.0512201\pi$
$229$	0.914022	+	8.11217i	0.0604003	+	0.536067i	−0.926681	+	0.375848i	$0.877351\pi$
$230$	−0.927463	−	1.29050i	−0.0611551	−	0.0850929i
$231$	−0.228806			−0.0150543
$232$	13.9858	−	6.03296i	0.918214	−	0.396083i
$233$	−8.10266			−0.530823			−0.265411	−	0.964135i	$-0.585508\pi$
$233$	−8.10266			−0.530823			−0.265411	+	0.964135i	$0.585508\pi$
$234$	11.5766	+	16.1080i	0.756788	+	1.05302i
$235$	−3.74516	−	33.2392i	−0.244307	−	2.16829i
$236$	−7.68313	+	22.8412i	−0.500129	+	1.48684i
$237$	−3.61727	−	1.74199i	−0.234967	−	0.113154i
$238$	0.0609439	−	0.0551305i	0.00395041	−	0.00357358i
$239$	−21.9501	−	17.5046i	−1.41983	−	1.13228i	−0.971117	−	0.238603i	$-0.923311\pi$
$239$	−21.9501	−	17.5046i	−1.41983	−	1.13228i	−0.448714	−	0.893675i	$-0.648118\pi$
$240$	−5.37481	+	3.56175i	−0.346943	+	0.229910i
$241$	15.7007	−	3.58358i	1.01137	−	0.230839i	0.315438	−	0.948946i	$-0.397849\pi$
$241$	15.7007	−	3.58358i	1.01137	−	0.230839i	0.695932	+	0.718108i	$0.254991\pi$
$242$	−1.38408	−	7.85756i	−0.0889722	−	0.505103i
$243$	7.14326	+	11.3684i	0.458241	+	0.729286i
$244$	1.76077	−	8.16949i	0.112722	−	0.522998i
$245$	−4.30308	+	18.8530i	−0.274914	+	1.20447i
$246$	−0.284821	+	5.68697i	−0.0181595	+	0.362588i
$247$	8.93323	−	25.5297i	0.568408	−	1.62442i
$248$	−0.589501	+	0.434594i	−0.0374333	+	0.0275968i
$249$	3.47421	−	3.47421i	0.220169	−	0.220169i
$250$	−6.88620	−	6.07925i	−0.435522	−	0.384486i
$251$	27.0550	+	3.04836i	1.70769	+	0.192411i	0.911123	−	0.412135i	$-0.135217\pi$
$251$	27.0550	+	3.04836i	1.70769	+	0.192411i	0.796571	+	0.604546i	$0.206645\pi$
$252$	−0.357717	+	0.366492i	−0.0225340	+	0.0230869i
$253$	−0.881690	+	1.40320i	−0.0554313	+	0.0882185i
$254$	−0.121838	+	0.299259i	−0.00764482	+	0.0187772i
$255$	−0.422258	−	0.876828i	−0.0264428	−	0.0549091i
$256$	4.31191	+	15.4080i	0.269494	+	0.963002i
$257$	15.2815	+	19.1623i	0.953232	+	1.19531i	0.980666	+	0.195691i	$0.0626949\pi$
$257$	15.2815	+	19.1623i	0.953232	+	1.19531i	−0.0274341	+	0.999624i	$0.508734\pi$
$258$	3.43533	−	1.44741i	0.213874	−	0.0901116i
$259$	0.127856	+	0.365390i	0.00794456	+	0.0227042i
$260$	15.8167	+	24.5079i	0.980912	+	1.51991i
$261$	−4.68277	−	13.5399i	−0.289856	−	0.838100i
$262$	−16.5906	+	4.88871i	−1.02497	+	0.302026i
$263$	−0.156313	−	0.446718i	−0.00963869	−	0.0275458i	0.938963	−	0.344017i	$-0.111788\pi$
$263$	−0.156313	−	0.446718i	−0.00963869	−	0.0275458i	−0.948602	+	0.316471i	$0.897502\pi$
$264$	5.55345	+	3.79054i	0.341791	+	0.233292i
$265$	16.9230	−	13.4956i	1.03957	−	0.829030i
$266$	0.689131	+	0.112797i	0.0422533	+	0.00691601i
$267$	1.72856	+	3.58938i	0.105786	+	0.219667i
$268$	1.23161	−	12.2649i	0.0752328	−	0.749195i
$269$	−13.2191	−	8.30609i	−0.805981	−	0.506431i	0.0649198	−	0.997890i	$-0.479321\pi$
$269$	−13.2191	−	8.30609i	−0.805981	−	0.506431i	−0.870901	+	0.491459i	$0.836464\pi$
$270$	6.31013	+	11.2557i	0.384022	+	0.685000i
$271$	7.25814	+	0.817796i	0.440901	+	0.0496776i	0.329625	−	0.944112i	$-0.393078\pi$
$271$	7.25814	+	0.817796i	0.440901	+	0.0496776i	0.111276	+	0.993790i	$0.464506\pi$
$272$	−2.39252	+	0.328462i	−0.145068	+	0.0199159i
$273$	−0.209100	−	0.209100i	−0.0126553	−	0.0126553i
$274$	2.40434	−	0.149643i	0.145252	−	0.00904026i
$275$	3.57306	−	10.2112i	0.215464	−	0.615760i
$276$	−0.110939	−	0.460274i	−0.00667773	−	0.0277052i
$277$	−8.12356	−	1.85415i	−0.488098	−	0.111405i	−0.0286125	−	0.999591i	$-0.509109\pi$
$277$	−8.12356	−	1.85415i	−0.488098	−	0.111405i	−0.459485	+	0.888185i	$0.651966\pi$
$278$	2.29984	−	4.22146i	0.137935	−	0.253186i
$279$	0.366506	+	0.583291i	0.0219421	+	0.0349207i
$280$	−0.552302	+	0.511922i	−0.0330063	+	0.0305932i
$281$	5.04585	+	22.1073i	0.301010	+	1.31881i	0.868606	+	0.495503i	$0.165016\pi$
$281$	5.04585	+	22.1073i	0.301010	+	1.31881i	−0.567596	+	0.823307i	$0.692126\pi$
$282$	2.70067	−	9.59233i	0.160823	−	0.571215i
$283$	−2.75281	−	2.19529i	−0.163637	−	0.130496i	0.538248	−	0.842787i	$-0.319087\pi$
$283$	−2.75281	−	2.19529i	−0.163637	−	0.130496i	−0.701885	+	0.712290i	$0.747658\pi$
$284$	−14.8604	−	9.08814i	−0.881803	−	0.539282i
$285$	3.58803	−	7.45061i	0.212536	−	0.441336i
$286$	17.4507	−	24.9129i	1.03188	−	1.47313i
$287$	0.0744597	+	0.660848i	0.00439522	+	0.0390087i
$288$	14.7538	−	2.96914i	0.869378	−	0.174958i
$289$			16.6355i			0.978559i
$290$	−5.88125	−	20.2292i	−0.345359	−	1.18790i
$291$	−0.305020			−0.0178806
$292$	−2.50379	+	3.21891i	−0.146523	+	0.188372i
$293$	1.71345	−	0.193060i	0.100101	−	0.0112787i	−0.0617719	−	0.998090i	$-0.519675\pi$
$293$	1.71345	−	0.193060i	0.100101	−	0.0112787i	0.161873	+	0.986812i	$0.448247\pi$
$294$	−3.30527	+	4.71866i	−0.192767	+	0.275198i
$295$	30.0304	+	14.4619i	1.74844	+	0.842002i
$296$	2.95004	−	10.9867i	0.171468	−	0.638587i
$297$	8.38969	−	10.5203i	0.486819	−	0.610452i
$298$	−12.3872	−	3.48754i	−0.717569	−	0.202028i
$299$	−2.08810	+	0.476596i	−0.120758	+	0.0275622i
$300$	1.37466	+	2.76819i	0.0793659	+	0.159822i
$301$	0.368647	−	0.231636i	0.0212485	−	0.0133513i
$302$	−3.81280	+	6.99856i	−0.219402	+	0.402722i
$303$	−2.43308	+	10.6600i	−0.139777	+	0.612401i
$304$	−14.8575	−	14.1543i	−0.852138	−	0.811805i
$305$	−10.9101	−	3.81761i	−0.624710	−	0.218596i
$306$	0.141103	+	2.26713i	0.00806633	+	0.129603i
$307$	−11.3194	+	11.3194i	−0.646034	+	0.646034i	−0.952032	−	0.305998i	$-0.901010\pi$
$307$	−11.3194	+	11.3194i	−0.646034	+	0.646034i	0.305998	+	0.952032i	$0.401010\pi$
$308$	0.711596	+	0.332125i	0.0405469	+	0.0189246i
$309$	−1.08847	+	9.66048i	−0.0619212	+	0.549565i
$310$	0.495351	+	0.883583i	0.0281340	+	0.0501841i
$311$	13.5329	−	21.5375i	0.767380	−	1.22128i	−0.202877	−	0.979204i	$-0.565029\pi$
$311$	13.5329	−	21.5375i	0.767380	−	1.22128i	0.970258	−	0.242075i	$-0.0778279\pi$
$312$	1.61107	+	8.53923i	0.0912090	+	0.483439i
$313$	−12.3466	+	5.94579i	−0.697868	+	0.336076i	−0.748957	−	0.662618i	$-0.769445\pi$
$313$	−12.3466	+	5.94579i	−0.697868	+	0.336076i	0.0510888	+	0.998694i	$0.483731\pi$
$314$	−4.10055	+	25.0523i	−0.231407	+	1.41378i
$315$	0.441637	+	0.553795i	0.0248834	+	0.0312028i
$316$	8.72127	+	10.6683i	0.490610	+	0.600141i
$317$	12.7444	−	4.45945i	0.715796	−	0.250468i	0.0522827	−	0.998632i	$-0.483350\pi$
$317$	12.7444	−	4.45945i	0.715796	−	0.250468i	0.663513	+	0.748164i	$0.269065\pi$
$318$	6.18560	−	1.82270i	0.346871	−	0.102212i
$319$	−17.2251	+	13.6347i	−0.964421	+	0.763394i
$320$	21.8860	−	3.27531i	1.22346	−	0.183096i
$321$	−7.61042	+	2.66300i	−0.424772	+	0.148634i
$322$	−0.0214700	−	0.0509578i	−0.00119648	−	0.00283977i
$323$	2.42154	−	1.93111i	0.134738	−	0.107450i
$324$	−1.50262	−	12.0247i	−0.0834792	−	0.668040i
$325$	12.5971	−	6.06645i	0.698762	−	0.336506i
$326$	1.23047	−	3.02228i	0.0681494	−	0.167388i
$327$	−7.82241	−	4.91514i	−0.432580	−	0.271808i
$328$	9.14078	−	17.2733i	0.504715	−	0.953757i
$329$	0.130312	−	1.15655i	0.00718435	−	0.0637628i
$330$	6.15468	−	6.97165i	0.338804	−	0.383776i
$331$	−5.62350	−	5.62350i	−0.309095	−	0.309095i	0.535463	−	0.844559i	$-0.320137\pi$
$331$	−5.62350	−	5.62350i	−0.309095	−	0.309095i	−0.844559	+	0.535463i	$0.820137\pi$
$332$	−15.8479	+	5.76190i	−0.869768	+	0.316226i
$333$	−10.0997	−	3.53403i	−0.553459	−	0.193664i
$334$	0.440110	−	8.78760i	0.0240818	−	0.480836i
$335$	−16.6215	−	3.79374i	−0.908127	−	0.207274i
$336$	−0.209904	+	0.0792083i	−0.0114512	+	0.00432116i
$337$	22.5023	−	14.1391i	1.22578	−	0.770207i	0.245801	−	0.969320i	$-0.420949\pi$
$337$	22.5023	−	14.1391i	1.22578	−	0.770207i	0.979976	+	0.199113i	$0.0638061\pi$
$338$	20.6090	−	3.63020i	1.12098	−	0.197457i
$339$	1.65613	+	7.25599i	0.0899488	+	0.394091i
$340$	0.0404721	+	3.33990i	0.00219491	+	0.181132i
$341$	0.658598	−	0.825856i	0.0356651	−	0.0447226i
$342$	−14.3139	+	12.9485i	−0.774008	+	0.700176i
$343$	−0.584271	+	1.21325i	−0.0315476	+	0.0655094i
$344$	−12.7850	−	0.485093i	−0.689322	−	0.0261545i
$345$	−0.650720	+	0.0733186i	−0.0350336	+	0.00394734i
$346$	−19.1439	+	13.7585i	−1.02918	+	0.739660i
$347$		−	14.7223i		−	0.790332i	−0.918610	−	0.395166i	$-0.870687\pi$
$347$		−	14.7223i		−	0.790332i	0.918610	−	0.395166i	$-0.129313\pi$
$348$	0.649739	−	6.24249i	0.0348297	−	0.334633i
$349$		−	6.69980i		−	0.358632i	−0.983792	−	0.179316i	$-0.942612\pi$
$349$		−	6.69980i		−	0.358632i	0.983792	−	0.179316i	$-0.0573884\pi$
$350$	0.210665	+	0.293126i	0.0112605	+	0.0156682i
$351$	17.2814	−	1.94714i	0.922411	−	0.103931i
$352$	−11.7692	−	19.8499i	−0.627303	−	1.05800i
$353$	8.79976	−	18.2729i	0.468364	−	0.972568i	−0.524285	−	0.851543i	$-0.675667\pi$
$353$	8.79976	−	18.2729i	0.468364	−	0.972568i	0.992649	−	0.121026i	$-0.0386183\pi$
$354$	6.66156	+	7.36401i	0.354058	+	0.391393i
$355$	−15.0214	+	18.8363i	−0.797254	+	0.999725i
$356$	−0.165676	−	13.6722i	−0.00878083	−	0.724626i
$357$	−0.00753512	−	0.0330135i	−0.000398801	−	0.00174726i
$358$	3.80057	+	21.5762i	0.200867	+	1.14034i
$359$	−7.72861	+	4.85620i	−0.407900	+	0.256301i	−0.720318	−	0.693644i	$-0.756004\pi$
$359$	−7.72861	+	4.85620i	−0.407900	+	0.256301i	0.312418	+	0.949945i	$0.398861\pi$
$360$	−1.54464	−	20.7578i	−0.0814098	−	1.09403i
$361$	7.13469	+	1.62845i	0.375510	+	0.0857077i
$362$	−5.34450	−	0.267669i	−0.280901	−	0.0140684i
$363$	−3.10309	−	1.08582i	−0.162870	−	0.0569907i
$364$	0.346788	+	0.953830i	0.0181766	+	0.0499943i
$365$	3.98833	+	3.98833i	0.208759	+	0.208759i
$366$	−2.58153	−	2.27901i	−0.134939	−	0.119126i
$367$	−1.23529	+	10.9635i	−0.0644818	+	0.572291i	0.919381	+	0.393368i	$0.128690\pi$
$367$	−1.23529	+	10.9635i	−0.0644818	+	0.572291i	−0.983863	+	0.178924i	$0.942738\pi$
$368$	−0.323090	+	1.59250i	−0.0168422	+	0.0830150i
$369$	−15.5645	−	9.77979i	−0.810253	−	0.509116i
$370$	−14.5725	−	5.93296i	−0.757589	−	0.308440i
$371$	0.678560	−	0.326777i	0.0352291	−	0.0169654i
$372$	0.0374199	+	0.299452i	0.00194013	+	0.0155259i
$373$	−16.1632	+	12.8898i	−0.836901	+	0.667406i	−0.945121	−	0.326721i	$-0.894056\pi$
$373$	−16.1632	+	12.8898i	−0.836901	+	0.667406i	0.108220	+	0.994127i	$0.465485\pi$
$374$	3.20982	−	1.35239i	0.165976	−	0.0699304i
$375$	−3.57260	+	1.25011i	−0.184488	+	0.0645553i
$376$	−22.3230	+	25.9124i	−1.15122	+	1.33633i
$377$	−28.2019	−	3.28123i	−1.45247	−	0.168992i
$378$	0.126907	+	0.430678i	0.00652739	+	0.0221517i
$379$	8.05857	−	2.81981i	0.413941	−	0.144844i	−0.115271	−	0.993334i	$-0.536774\pi$
$379$	8.05857	−	2.81981i	0.413941	−	0.144844i	0.529211	+	0.848490i	$0.322488\pi$
$380$	−21.9739	+	17.9635i	−1.12724	+	0.921507i
$381$	0.0830109	+	0.104092i	0.00425278	+	0.00533281i
$382$	32.5278	+	5.32414i	1.66427	+	0.272407i
$383$	21.7456	−	10.4721i	1.11115	−	0.535102i	0.214003	−	0.976833i	$-0.431350\pi$
$383$	21.7456	−	10.4721i	1.11115	−	0.535102i	0.897147	+	0.441731i	$0.145636\pi$
$384$	6.40688	+	1.55490i	0.326950	+	0.0793483i
$385$	0.577859	−	0.919657i	0.0294504	−	0.0468701i
$386$	23.8624	−	13.3776i	1.21456	−	0.680904i
$387$	−1.34741	+	11.9586i	−0.0684927	+	0.607889i
$388$	0.948624	+	0.442754i	0.0481591	+	0.0224774i
$389$	22.9663	−	22.9663i	1.16444	−	1.16444i	0.180944	−	0.983493i	$-0.442085\pi$
$389$	22.9663	−	22.9663i	1.16444	−	1.16444i	0.983493	−	0.180944i	$-0.0579151\pi$
$390$	11.9958	−	0.746603i	0.607431	−	0.0378057i
$391$	−0.231499	−	0.0810048i	−0.0117074	−	0.00409659i
$392$	17.1289	−	9.87742i	0.865141	−	0.498885i
$393$	−1.58587	+	6.94814i	−0.0799964	+	0.350487i
$394$	6.20309	+	3.37943i	0.312507	+	0.170253i
$395$	16.1373	−	10.1397i	0.811954	−	0.510184i
$396$	−19.4409	+	9.65414i	−0.976940	+	0.485139i
$397$	−4.16012	+	0.949520i	−0.208790	+	0.0476550i	−0.325637	−	0.945495i	$-0.605579\pi$
$397$	−4.16012	+	0.949520i	−0.208790	+	0.0476550i	0.116846	+	0.993150i	$0.462721\pi$
$398$	−1.56089	+	5.54403i	−0.0782405	+	0.277897i
$399$	0.179402	−	0.224962i	0.00898131	−	0.0112622i
$400$	−0.257045	−	10.6046i	−0.0128522	−	0.530229i
$401$	−17.2820	−	8.32257i	−0.863022	−	0.415610i	−0.0506275	−	0.998718i	$-0.516122\pi$
$401$	−17.2820	−	8.32257i	−0.863022	−	0.415610i	−0.812395	+	0.583108i	$0.801836\pi$
$402$	−4.16013	−	2.91404i	−0.207488	−	0.145339i
$403$	1.35660	−	0.152852i	0.0675772	−	0.00761412i
$404$	23.0406	−	29.6213i	1.14631	−	1.47371i
$405$	−16.7608			−0.832851
$406$	−0.0428799	−	0.731762i	−0.00212809	−	0.0363167i
$407$			16.4073i			0.813279i
$408$	−0.364035	+	0.926117i	−0.0180224	+	0.0458496i
$409$	−0.345283	−	3.06448i	−0.0170732	−	0.151529i	0.982283	−	0.187403i	$-0.0600070\pi$
$409$	−0.345283	−	3.06448i	−0.0170732	−	0.151529i	−0.999356	+	0.0358743i	$0.988578\pi$
$410$	−22.1387	−	15.5075i	−1.09335	−	0.765860i
$411$	0.430688	−	0.894333i	0.0212443	−	0.0441142i
$412$	17.4080	−	28.4645i	0.857628	−	1.40234i
$413$	0.906732	+	0.723094i	0.0446173	+	0.0355811i
$414$	1.47123	+	0.414217i	0.0723070	+	0.0203577i
$415$	5.18988	+	22.7384i	0.254761	+	1.11618i
$416$	7.38469	−	28.8959i	0.362064	−	1.41674i
$417$	−1.05388	−	1.67724i	−0.0516088	−	0.0821349i
$418$	25.9899	+	14.1592i	1.27121	+	0.692550i
$419$	16.4324	+	3.75058i	0.802773	+	0.183228i	0.604173	−	0.796853i	$-0.293503\pi$
$419$	16.4324	+	3.75058i	0.802773	+	0.183228i	0.198600	+	0.980081i	$0.436361\pi$
$420$	0.0727092	+	0.301663i	0.00354785	+	0.0147197i
$421$	−0.926131	+	2.64673i	−0.0451369	+	0.128994i	−0.964246	−	0.265010i	$-0.914625\pi$
$421$	−0.926131	+	2.64673i	−0.0451369	+	0.128994i	0.919109	+	0.394004i	$0.128910\pi$
$422$	−2.36437	−	37.9889i	−0.115096	−	1.84927i
$423$	22.7479	+	22.7479i	1.10604	+	1.10604i
$424$	−21.8832	−	3.31010i	−1.06274	−	0.160753i
$425$	1.59101	+	0.179264i	0.0771752	+	0.00869556i
$426$	−6.26087	+	3.50995i	−0.303340	+	0.170057i
$427$	−0.340539	−	0.213975i	−0.0164798	−	0.0103550i
$428$	27.5342	+	2.76493i	1.33092	+	0.133648i
$429$	−5.43802	−	11.2922i	−0.262550	−	0.545190i
$430$	−2.85840	+	17.4634i	−0.137844	+	0.842158i
$431$	17.0669	−	13.6104i	0.822086	−	0.655592i	−0.119324	−	0.992855i	$-0.538073\pi$
$431$	17.0669	−	13.6104i	0.822086	−	0.655592i	0.941410	+	0.337264i	$0.109501\pi$
$432$	4.05466	−	12.5556i	0.195080	−	0.604080i
$433$	7.04343	+	20.1290i	0.338485	+	0.967336i	0.979786	+	0.200046i	$0.0641093\pi$
$433$	7.04343	+	20.1290i	0.338485	+	0.967336i	−0.641301	+	0.767289i	$0.721605\pi$
$434$	0.00996231	+	0.0338086i	0.000478206	+	0.00162286i
$435$	−8.45597	−	1.96232i	−0.405433	−	0.0940858i
$436$	17.1934	+	26.6410i	0.823413	+	1.27587i
$437$	−0.688317	−	1.96710i	−0.0329267	−	0.0940990i
$438$	0.652444	+	1.54853i	0.0311750	+	0.0739919i
$439$	14.1492	+	17.7426i	0.675306	+	0.846806i	0.994912	−	0.100744i	$-0.0321223\pi$
$439$	14.1492	+	17.7426i	0.675306	+	0.846806i	−0.319607	+	0.947550i	$0.603551\pi$
$440$	−29.2611	+	12.7482i	−1.39497	+	0.607747i
$441$	−8.06951	−	16.7565i	−0.384262	−	0.797929i
$442$	4.16928	+	1.69745i	0.198312	+	0.0807396i
$443$	−12.5434	+	19.9627i	−0.595956	+	0.948458i	0.403484	+	0.914987i	$0.367799\pi$
$443$	−12.5434	+	19.9627i	−0.595956	+	0.948458i	−0.999440	+	0.0334712i	$0.989344\pi$
$444$	−3.35445	−	3.27413i	−0.159195	−	0.155383i
$445$	−18.7926	−	2.11742i	−0.890855	−	0.100375i
$446$	18.7345	−	21.2213i	0.887105	−	1.00486i
$447$	−3.74952	+	3.74952i	−0.177346	+	0.177346i
$448$	0.767785	+	0.0583471i	0.0362744	+	0.00275664i
$449$	−8.38604	+	23.9659i	−0.395762	+	1.13102i	0.557840	+	0.829949i	$0.311630\pi$
$449$	−8.38604	+	23.9659i	−0.395762	+	1.13102i	−0.953601	+	0.301073i	$0.902655\pi$
$450$	−9.96513	−	0.499085i	−0.469761	−	0.0235271i
$451$	−6.27206	+	27.4797i	−0.295340	+	1.29397i
$452$	5.38186	−	24.9704i	0.253141	−	1.17451i
$453$	1.74718	+	2.78062i	0.0820897	+	0.130645i
$454$	5.23006	−	0.921258i	0.245459	−	0.0432368i
$455$	1.36854	−	0.312360i	0.0641582	−	0.0146437i
$456$	−8.08120	+	2.48808i	−0.378437	+	0.116515i
$457$	28.9731	+	23.1052i	1.35530	+	1.08082i	0.988614	+	0.150474i	$0.0480798\pi$
$457$	28.9731	+	23.1052i	1.35530	+	1.08082i	0.366688	+	0.930344i	$0.380492\pi$
$458$	−7.74494	−	8.56163i	−0.361897	−	0.400059i
$459$	1.79423	+	0.864056i	0.0837475	+	0.0403307i
$460$	2.13019	+	0.716535i	0.0993207	+	0.0334086i
$461$	1.07751	+	9.56318i	0.0501847	+	0.445402i	0.993528	+	0.113584i	$0.0362332\pi$
$461$	1.07751	+	9.56318i	0.0501847	+	0.445402i	−0.943344	+	0.331817i	$0.892338\pi$
$462$	0.262760	−	0.188842i	0.0122247	−	0.00878574i
$463$	−30.6102			−1.42258			−0.711289	−	0.702900i	$-0.751888\pi$
$463$	−30.6102			−1.42258			−0.711289	+	0.702900i	$0.751888\pi$
$464$	−11.0821	+	18.4713i	−0.514472	+	0.857507i
$465$	0.417395			0.0193562
$466$	9.30508	−	6.68743i	0.431049	−	0.309789i
$467$	−2.40945	−	21.3844i	−0.111496	−	0.989554i	−0.917525	−	0.397678i	$-0.869816\pi$
$467$	−2.40945	−	21.3844i	−0.111496	−	0.989554i	0.806029	−	0.591876i	$-0.201612\pi$
$468$	−26.5892	−	8.94382i	−1.22908	−	0.413428i
$469$	−0.534467	−	0.257386i	−0.0246794	−	0.0118850i
$470$	31.7345	+	35.0808i	1.46380	+	1.61816i
$471$	8.17816	+	6.52186i	0.376830	+	0.300512i
$472$	−10.0284	−	32.5720i	−0.461596	−	1.49925i
$473$	17.9903	−	4.10618i	0.827197	−	0.188802i
$474$	5.59180	−	0.984977i	0.256840	−	0.0452415i
$475$	7.23814	+	11.5194i	0.332109	+	0.528548i
$476$	−0.0244866	+	0.113611i	−0.00112234	+	0.00520736i
$477$	−4.63234	+	20.2956i	−0.212100	+	0.929272i
$478$	39.6546	+	1.98603i	1.81376	+	0.0908387i
$479$	−9.16025	+	26.1785i	−0.418543	+	1.19613i	0.520959	+	0.853582i	$0.325574\pi$
$479$	−9.16025	+	26.1785i	−0.418543	+	1.19613i	−0.939502	+	0.342545i	$0.888711\pi$
$480$	3.23278	−	8.52634i	0.147556	−	0.389172i
$481$	−14.9942	+	14.9942i	−0.683676	+	0.683676i
$482$	−15.0730	+	17.0737i	−0.686555	+	0.777687i
$483$	−0.0226417	−	0.00255111i	−0.00103023	−	0.000116079i
$484$	8.07461	+	7.88126i	0.367028	+	0.358239i
$485$	0.770340	−	1.22599i	0.0349793	−	0.0556693i
$486$	−17.5861	−	7.15989i	−0.797722	−	0.324779i
$487$	13.6370	+	28.3175i	0.617952	+	1.28319i	0.941511	+	0.336982i	$0.109406\pi$
$487$	13.6370	+	28.3175i	0.617952	+	1.28319i	−0.323559	+	0.946208i	$0.604880\pi$
$488$	4.72053	+	10.8351i	0.213688	+	0.490480i
$489$	−0.838343	−	1.05125i	−0.0379112	−	0.0475391i
$490$	−10.6185	−	25.2023i	−0.479693	−	1.13852i
$491$	6.29020	+	17.9764i	0.283873	+	0.811261i	0.994215	+	0.107405i	$0.0342543\pi$
$491$	6.29020	+	17.9764i	0.283873	+	0.811261i	−0.710343	+	0.703856i	$0.751460\pi$
$492$	−4.36658	−	6.76598i	−0.196861	−	0.305034i
$493$	−2.53455	−	2.03632i	−0.114151	−	0.0917114i
$494$	10.8117	+	36.6912i	0.486442	+	1.65082i
$495$	9.91552	+	28.3369i	0.445670	+	1.27365i
$496$	0.318295	−	0.985624i	0.0142918	−	0.0442558i
$497$	−0.655405	+	0.522668i	−0.0293989	+	0.0234449i
$498$	−1.12238	+	6.85716i	−0.0502950	+	0.307277i
$499$	−10.8508	−	22.5319i	−0.485747	−	1.00866i	−0.989462	−	0.144794i	$-0.953748\pi$
$499$	−10.8508	−	22.5319i	−0.485747	−	1.00866i	0.503714	−	0.863870i	$-0.331966\pi$
$500$	12.9255	+	1.29796i	0.578048	+	0.0580464i
$501$	−3.06980	−	1.92888i	−0.137149	−	0.0861762i
$502$	−33.5858	+	18.8287i	−1.49901	+	0.840368i
$503$	−23.9270	−	2.69593i	−1.06685	−	0.120205i	−0.438961	−	0.898506i	$-0.644653\pi$
$503$	−23.9270	−	2.69593i	−1.06685	−	0.120205i	−0.627892	+	0.778301i	$0.716082\pi$
$504$	0.108321	−	0.716116i	0.00482501	−	0.0318983i
$505$	−36.7017	−	36.7017i	−1.63320	−	1.63320i
$506$	−0.145584	−	2.33912i	−0.00647199	−	0.103987i
$507$	2.84791	−	8.13886i	0.126480	−	0.361460i
$508$	−0.107071	−	0.444227i	−0.00475051	−	0.0197094i
$509$	9.60384	+	2.19201i	0.425683	+	0.0971593i	0.429995	−	0.902831i	$-0.358515\pi$
$509$	9.60384	+	2.19201i	0.425683	+	0.0971593i	−0.00431191	+	0.999991i	$0.501373\pi$
$510$	1.20860	+	0.658442i	0.0535177	+	0.0291563i
$511$	0.104414	+	0.166174i	0.00461900	+	0.00735110i
$512$	−17.6686	−	14.1358i	−0.780850	−	0.624719i
$513$	3.76545	+	16.4975i	0.166249	+	0.728383i
$514$	−33.3646	−	9.39364i	−1.47165	−	0.414336i
$515$	−36.0801	−	28.7729i	−1.58988	−	1.26789i
$516$	−2.75053	+	4.49751i	−0.121085	+	0.197992i
$517$	21.4031	−	44.4440i	0.941307	−	1.95464i
$518$	−0.448399	−	0.314089i	−0.0197015	−	0.0138003i
$519$	1.08765	+	9.65314i	0.0477424	+	0.423726i
$520$	−38.3912	−	15.0907i	−1.68356	−	0.661769i
$521$		−	14.7079i		−	0.644364i	−0.946678	−	0.322182i	$-0.895584\pi$
$521$		−	14.7079i		−	0.644364i	0.946678	−	0.322182i	$-0.104416\pi$
$522$	16.5527	+	11.6844i	0.724491	+	0.511410i
$523$	−10.6547			−0.465896			−0.232948	−	0.972489i	$-0.574837\pi$
$523$	−10.6547			−0.465896			−0.232948	+	0.972489i	$0.574837\pi$
$524$	15.0177	−	19.3070i	0.656053	−	0.843430i
$525$	0.147806	−	0.0166537i	0.00645077	−	0.000726827i
$526$	0.548203	+	0.383998i	0.0239028	+	0.0167431i
$527$	0.140849	+	0.0678292i	0.00613547	+	0.00295468i
$528$	−9.50605	+	0.230417i	−0.413698	+	0.0100276i
$529$	14.2374	−	17.8531i	0.619016	−	0.776222i
$530$	−8.29587	+	29.4655i	−0.360350	+	1.27990i
$531$	−31.2528	+	7.13324i	−1.35626	+	0.309556i
$532$	−0.884492	+	0.439230i	−0.0383476	+	0.0190430i
$533$	−30.8449	+	19.3811i	−1.33604	+	0.839489i
$534$	−4.94752	−	2.69540i	−0.214100	−	0.116641i
$535$	8.51682	−	37.3146i	0.368214	−	1.61325i
$536$	8.70826	+	15.1014i	0.376140	+	0.652283i
$537$	8.52083	+	2.98157i	0.367701	+	0.128664i
$538$	22.0361	−	1.37150i	0.950043	−	0.0591294i
$539$	−20.1654	+	20.1654i	−0.868584	+	0.868584i
$540$	−16.5363	−	7.71804i	−0.711609	−	0.332131i
$541$	−1.58719	+	14.0867i	−0.0682385	+	0.605634i	0.912330	+	0.409456i	$0.134282\pi$
$541$	−1.58719	+	14.0867i	−0.0682385	+	0.605634i	−0.980568	+	0.196178i	$0.937147\pi$
$542$	−9.01019	+	5.05126i	−0.387021	+	0.216970i
$543$	−1.17312	+	1.86701i	−0.0503435	+	0.0801212i
$544$	2.47647	−	2.35184i	0.106178	−	0.100834i
$545$	39.5116	−	19.0278i	1.69249	−	0.815061i
$546$	0.412708	+	0.0675519i	0.0176623	+	0.00289095i
$547$	−2.57296	−	3.22639i	−0.110012	−	0.137950i	0.723777	−	0.690034i	$-0.242404\pi$
$547$	−2.57296	−	3.22639i	−0.110012	−	0.137950i	−0.833789	+	0.552083i	$0.813833\pi$
$548$	−2.63763	+	2.15624i	−0.112674	+	0.0921101i
$549$	10.4929	−	3.67161i	0.447824	−	0.156701i
$550$	4.32441	+	14.6755i	0.184394	+	0.625767i
$551$	0.100208	−	27.6264i	0.00426901	−	1.17692i
$552$	0.507283	+	0.437015i	0.0215914	+	0.0186006i
$553$	0.625923	−	0.219020i	0.0266170	−	0.00931368i
$554$	10.8594	−	4.57538i	0.461371	−	0.194389i
$555$	−5.06881	+	4.04224i	−0.215159	+	0.171583i
$556$	0.842996	+	6.74606i	0.0357510	+	0.286097i
$557$	10.8336	−	5.21717i	0.459033	−	0.221059i	−0.190053	−	0.981774i	$-0.560866\pi$
$557$	10.8336	−	5.21717i	0.459033	−	0.221059i	0.649086	+	0.760715i	$0.275152\pi$
$558$	−0.902307	−	0.367359i	−0.0381977	−	0.0155515i
$559$	20.1934	+	12.6884i	0.854091	+	0.536661i
$560$	0.211753	−	1.04373i	0.00894821	−	0.0441055i
$561$	0.160693	−	1.42619i	0.00678448	−	0.0602140i
$562$	−24.0406	−	21.2234i	−1.01409	−	0.895257i
$563$	0.481237	+	0.481237i	0.0202817	+	0.0202817i	0.717175	−	0.696893i	$-0.245435\pi$
$563$	0.481237	+	0.481237i	0.0202817	+	0.0202817i	−0.696893	+	0.717175i	$0.745435\pi$
$564$	4.81547	+	13.2448i	0.202768	+	0.557706i
$565$	−33.3472	−	11.6687i	−1.40293	−	0.490905i
$566$	4.97317	+	0.249072i	0.209038	+	0.0104693i
$567$	−0.568568	−	0.129772i	−0.0238776	−	0.00544991i
$568$	24.5664	−	1.82805i	1.03079	−	0.0767033i
$569$	−11.9381	+	7.50120i	−0.500471	+	0.314467i	−0.758503	−	0.651670i	$-0.774069\pi$
$569$	−11.9381	+	7.50120i	−0.500471	+	0.314467i	0.258032	+	0.966136i	$0.416926\pi$
$570$	2.02879	+	11.5176i	0.0849766	+	0.482419i
$571$	−4.40098	−	19.2819i	−0.184175	−	0.806924i	−0.979614	−	0.200890i	$-0.935617\pi$
$571$	−4.40098	−	19.2819i	−0.184175	−	0.806924i	0.795439	−	0.606034i	$-0.207240\pi$
$572$	0.521216	+	43.0127i	0.0217931	+	1.79845i
$573$	8.46796	−	10.6185i	0.353754	−	0.443594i
$574$	−0.630932	−	0.697463i	−0.0263346	−	0.0291115i
$575$	0.467427	−	0.970623i	0.0194931	−	0.0404778i
$576$	−14.4927	+	15.5866i	−0.603864	+	0.649443i
$577$	−11.7603	+	1.32507i	−0.489588	+	0.0551633i	−0.353308	−	0.935507i	$-0.614943\pi$
$577$	−11.7603	+	1.32507i	−0.489588	+	0.0551633i	−0.136280	+	0.990670i	$0.543515\pi$
$578$	−13.7299	−	19.1042i	−0.571089	−	0.794629i
$579$		−	11.2723i		−	0.468462i
$580$	23.4500	+	18.3772i	0.973707	+	0.763072i
$581$			0.811524i			0.0336677i
$582$	0.350284	−	0.251744i	0.0145197	−	0.0104351i
$583$	31.7203	−	3.57402i	1.31372	−	0.148021i
$584$	0.218664	−	5.76307i	0.00904839	−	0.238477i
$585$	−16.8348	+	34.9579i	−0.696035	+	1.44533i
$586$	−1.80838	+	1.63588i	−0.0747037	+	0.0675778i
$587$	−28.1430	+	35.2902i	−1.16159	+	1.45658i	−0.296449	+	0.955049i	$0.595802\pi$
$587$	−28.1430	+	35.2902i	−1.16159	+	1.45658i	−0.865138	+	0.501535i	$0.832769\pi$
$588$	−0.0987215	−	8.14686i	−0.00407120	−	0.335971i
$589$	0.295591	+	1.29507i	0.0121796	+	0.0533624i
$590$	−46.4227	+	8.17722i	−1.91119	+	0.336651i
$591$	2.46457	−	1.54859i	0.101379	−	0.0637006i
$592$	5.67989	+	15.0518i	0.233442	+	0.618627i
$593$	−17.8087	−	4.06472i	−0.731316	−	0.166918i	−0.159381	−	0.987217i	$-0.550950\pi$
$593$	−17.8087	−	4.06472i	−0.731316	−	0.166918i	−0.571935	+	0.820299i	$0.693807\pi$
$594$	−0.951872	+	19.0059i	−0.0390558	+	0.779820i
$595$	0.151724	+	0.0530905i	0.00622008	+	0.00217650i
$596$	17.1038	−	6.21850i	0.700599	−	0.254720i
$597$	1.67814	+	1.67814i	0.0686818	+	0.0686818i
$598$	2.00462	−	2.27071i	0.0819750	−	0.0928562i
$599$	−3.11169	+	27.6170i	−0.127140	+	1.12840i	0.754440	+	0.656369i	$0.227908\pi$
$599$	−3.11169	+	27.6170i	−0.127140	+	1.12840i	−0.881581	+	0.472033i	$0.843520\pi$
$600$	−3.86335	−	2.04443i	−0.157721	−	0.0834635i
$601$	22.5027	+	14.1394i	0.917905	+	0.576758i	0.906049	−	0.423172i	$-0.139083\pi$
$601$	22.5027	+	14.1394i	0.917905	+	0.576758i	0.0118554	+	0.999930i	$0.496226\pi$
$602$	−0.232175	+	0.570269i	−0.00946276	+	0.0232424i
$603$	14.7731	−	7.11435i	0.601607	−	0.289719i
$604$	−1.39756	−	11.1840i	−0.0568661	−	0.455069i
$605$	12.2013	−	9.73021i	0.496053	−	0.395589i
$606$	−6.00396	−	14.2500i	−0.243894	−	0.578868i
$607$	−11.4462	+	4.00521i	−0.464589	+	0.162567i	−0.552415	−	0.833569i	$-0.686294\pi$
$607$	−11.4462	+	4.00521i	−0.464589	+	0.162567i	0.0878265	+	0.996136i	$0.472008\pi$
$608$	28.7444	+	3.99230i	1.16574	+	0.161909i
$609$	−0.271654	−	0.132038i	−0.0110080	−	0.00535043i
$610$	15.6799	−	4.62038i	0.634863	−	0.187074i
$611$	60.1759	−	21.0565i	2.43446	−	0.851854i
$612$	−2.03319	−	2.48711i	−0.0821869	−	0.100536i
$613$	−6.52424	−	8.18114i	−0.263512	−	0.330433i	0.632420	−	0.774626i	$-0.282062\pi$
$613$	−6.52424	−	8.18114i	−0.263512	−	0.330433i	−0.895931	+	0.444193i	$0.853490\pi$
$614$	3.65686	−	22.3416i	0.147579	−	0.901632i
$615$	−10.0347	+	4.83247i	−0.404639	+	0.194864i
$616$	−1.09131	+	0.205895i	−0.0439702	+	0.00829573i
$617$	16.9561	−	26.9855i	0.682626	−	1.08639i	−0.308209	−	0.951319i	$-0.599730\pi$
$617$	16.9561	−	26.9855i	0.682626	−	1.08639i	0.990835	−	0.135075i	$-0.0431275\pi$
$618$	−6.72315	−	11.9924i	−0.270445	−	0.482406i
$619$	−1.83045	+	16.2457i	−0.0735720	+	0.652969i	0.901762	+	0.432234i	$0.142274\pi$
$619$	−1.83045	+	16.2457i	−0.0735720	+	0.652969i	−0.975334	+	0.220736i	$0.929154\pi$
$620$	−1.29811	−	0.605873i	−0.0521335	−	0.0243324i
$621$	0.947507	−	0.947507i	0.0380221	−	0.0380221i
$622$	2.23454	+	35.9028i	0.0895970	+	1.43957i
$623$	−0.621097	−	0.217331i	−0.0248837	−	0.00870719i
$624$	−8.89790	−	8.47675i	−0.356201	−	0.339342i
$625$	6.94864	−	30.4440i	0.277946	−	1.21776i
$626$	9.27147	−	17.0182i	0.370563	−	0.680184i
$627$	10.3261	−	6.48833i	0.412386	−	0.259119i
$628$	−15.9675	−	32.1543i	−0.637174	−	1.28310i
$629$	−2.36734	+	0.540331i	−0.0943922	+	0.0215444i
$630$	−0.964243	−	0.271478i	−0.0384164	−	0.0108159i
$631$	26.4279	−	33.1395i	1.05208	−	1.31926i	0.106341	−	0.994330i	$-0.466087\pi$
$631$	26.4279	−	33.1395i	1.05208	−	1.31926i	0.945737	−	0.324934i	$-0.105342\pi$
$632$	−18.8205	−	5.05350i	−0.748638	−	0.201018i
$633$	−14.1306	−	6.80492i	−0.561639	−	0.270471i
$634$	−10.9551	+	15.6396i	−0.435081	+	0.621130i
$635$	−0.628033	+	0.0707624i	−0.0249227	+	0.00280812i
$636$	−5.59919	+	7.19839i	−0.222022	+	0.285435i
$637$	−36.8572			−1.46034
$638$	8.52810	−	29.8745i	0.337631	−	1.18274i
$639$		−	23.1711i		−	0.916635i
$640$	−22.4306	+	21.8247i	−0.886646	+	0.862696i
$641$	3.23157	+	28.6810i	0.127639	+	1.13283i	0.880299	+	0.474420i	$0.157342\pi$
$641$	3.23157	+	28.6810i	0.127639	+	1.13283i	−0.752659	+	0.658410i	$0.771229\pi$
$642$	6.54192	−	9.33935i	0.258189	−	0.368595i
$643$	18.7094	−	38.8505i	0.737827	−	1.53211i	−0.105325	−	0.994438i	$-0.533588\pi$
$643$	18.7094	−	38.8505i	0.737827	−	1.53211i	0.843152	−	0.537675i	$-0.180697\pi$
$644$	0.0667135	+	0.0407998i	0.00262888	+	0.00160774i
$645$	5.70080	+	4.54624i	0.224469	+	0.179008i
$646$	−1.18707	+	4.21627i	−0.0467047	+	0.165887i
$647$	−2.83379	−	12.4156i	−0.111408	−	0.488109i	−0.999590	−	0.0286188i	$-0.990889\pi$
$647$	−2.83379	−	12.4156i	−0.111408	−	0.488109i	0.888183	−	0.459491i	$-0.151968\pi$
$648$	11.6501	+	12.5690i	0.457658	+	0.493757i
$649$	26.1518	+	41.6204i	1.02655	+	1.63374i
$650$	−9.45962	+	17.3636i	−0.371037	+	0.681055i
$651$	0.0141591	+	0.00323171i	0.000554937	+	0.000126661i
$652$	1.08133	+	4.48633i	0.0423481	+	0.175698i
$653$	−6.81152	+	19.4662i	−0.266555	+	0.761771i	0.730344	+	0.683080i	$0.239360\pi$
$653$	−6.81152	+	19.4662i	−0.266555	+	0.761771i	−0.996899	+	0.0786915i	$0.974926\pi$
$654$	13.0399	−	0.811585i	0.509900	−	0.0317355i
$655$	−23.9220	−	23.9220i	−0.934710	−	0.934710i
$656$	3.75903	+	27.3808i	0.146765	+	1.06904i
$657$	−5.39054	−	0.607368i	−0.210305	−	0.0236957i
$658$	0.804897	+	1.43574i	0.0313781	+	0.0559708i
$659$	34.1307	+	21.4457i	1.32954	+	0.835407i	0.994289	−	0.106720i	$-0.0340349\pi$
$659$	34.1307	+	21.4457i	1.32954	+	0.835407i	0.335254	+	0.942128i	$0.391178\pi$
$660$	−1.31406	+	13.0859i	−0.0511498	+	0.509369i
$661$	0.664575	+	1.38001i	0.0258490	+	0.0536760i	0.913494	−	0.406853i	$-0.133374\pi$
$661$	0.664575	+	1.38001i	0.0258490	+	0.0536760i	−0.887645	+	0.460529i	$0.847660\pi$
$662$	11.0993	+	1.81673i	0.431386	+	0.0706092i
$663$	1.45021	−	1.15651i	0.0563217	−	0.0449150i
$664$	13.4442	−	19.6968i	0.521737	−	0.764386i
$665$	0.451122	+	1.28923i	0.0174938	+	0.0499943i
$666$	14.5152	−	4.27717i	0.562453	−	0.165737i
$667$	−1.85655	+	1.15717i	−0.0718858	+	0.0448060i
$668$	6.74731	+	10.4549i	0.261061	+	0.404512i
$669$	−3.85247	−	11.0097i	−0.148945	−	0.425661i
$670$	22.2192	−	9.36159i	0.858401	−	0.361670i
$671$	−10.6280	−	13.3271i	−0.410291	−	0.514488i
$672$	0.175680	−	0.264204i	0.00677699	−	0.0101919i
$673$	−19.7236	−	40.9565i	−0.760290	−	1.57876i	−0.814456	−	0.580226i	$-0.802964\pi$
$673$	−19.7236	−	40.9565i	−0.760290	−	1.57876i	0.0541658	−	0.998532i	$-0.482750\pi$
$674$	−14.1720	+	34.8093i	−0.545886	+	1.34080i
$675$	−4.65390	+	7.40664i	−0.179129	+	0.285082i
$676$	−20.6712	+	21.1783i	−0.795044	+	0.814549i
$677$	−11.5732	−	1.30399i	−0.444796	−	0.0501164i	−0.113273	−	0.993564i	$-0.536134\pi$
$677$	−11.5732	−	1.30399i	−0.444796	−	0.0501164i	−0.331522	+	0.943447i	$0.607562\pi$
$678$	−7.89054	−	6.96590i	−0.303034	−	0.267524i
$679$	0.0356241	−	0.0356241i	0.00136713	−	0.00136713i
$680$	−2.80303	−	3.80214i	−0.107491	−	0.145805i
$681$	0.722731	−	2.06545i	0.0276951	−	0.0791481i
$682$	−0.0747228	+	1.49198i	−0.00286128	+	0.0571307i
$683$	0.658084	−	2.88325i	0.0251809	−	0.110325i	−0.960776	−	0.277327i	$-0.910552\pi$
$683$	0.658084	−	2.88325i	0.0251809	−	0.110325i	0.985957	+	0.167002i	$0.0534087\pi$
$684$	5.75116	−	26.6839i	0.219901	−	1.02028i
$685$	2.50694	+	3.98977i	0.0957852	+	0.152441i
$686$	−0.330366	−	1.87551i	−0.0126134	−	0.0716075i
$687$	−4.63786	+	1.05856i	−0.176946	+	0.0403867i
$688$	15.0826	−	9.99487i	0.575021	−	0.381051i
$689$	32.2546	+	25.7222i	1.22880	+	0.979937i
$690$	0.686773	−	0.621263i	0.0261450	−	0.0236511i
$691$	39.7827	+	19.1584i	1.51341	+	0.728818i	0.992205	−	0.124615i	$-0.0397696\pi$
$691$	39.7827	+	19.1584i	1.51341	+	0.728818i	0.521202	+	0.853433i	$0.325484\pi$
$692$	10.6295	−	31.6004i	0.404072	−	1.20127i
$693$	0.116958	+	1.03803i	0.00444286	+	0.0394315i
$694$	12.1508	+	16.9070i	0.461239	+	0.641781i
$695$	9.40308			0.356679
$696$	4.40601	+	7.70512i	0.167009	+	0.292062i
$697$	−4.17149			−0.158007
$698$	5.52959	+	7.69403i	0.209298	+	0.291223i
$699$	−0.528661	−	4.69199i	−0.0199958	−	0.177467i
$700$	−0.483855	−	0.162755i	−0.0182880	−	0.00615156i
$701$	−12.9949	−	6.25804i	−0.490812	−	0.236363i	0.172072	−	0.985084i	$-0.444954\pi$
$701$	−12.9949	−	6.25804i	−0.490812	−	0.236363i	−0.662885	+	0.748722i	$0.730668\pi$
$702$	−18.2388	+	16.4991i	−0.688381	+	0.622717i
$703$	−16.1317	−	12.8646i	−0.608417	−	0.485197i
$704$	29.8986	+	13.0820i	1.12685	+	0.493046i
$705$	19.0034	−	4.33741i	0.715710	−	0.163356i
$706$	4.97568	+	28.2473i	0.187262	+	1.06310i
$707$	−0.960846	−	1.52918i	−0.0361363	−	0.0575106i
$708$	−13.7279	−	2.95877i	−0.515927	−	0.111197i
$709$	10.9601	−	48.0194i	0.411616	−	1.80341i	−0.164889	−	0.986312i	$-0.552727\pi$
$709$	10.9601	−	48.0194i	0.411616	−	1.80341i	0.576505	−	0.817094i	$-0.304416\pi$
$710$	1.70429	−	34.0293i	0.0639609	−	1.27710i
$711$	−6.05389	+	17.3010i	−0.227039	+	0.648839i
$712$	11.4745	+	15.5644i	0.430024	+	0.583301i
$713$	0.0743801	−	0.0743801i	0.00278556	−	0.00278556i
$714$	0.0359006	+	0.0316937i	0.00134355	+	0.00118611i
$715$	59.1213	+	6.66137i	2.21101	+	0.249121i
$716$	−22.1722	−	21.6413i	−0.828614	−	0.808772i
$717$	8.70421	−	13.8527i	0.325065	−	0.517338i
$718$	4.86751	−	11.9556i	0.181654	−	0.446178i
$719$	−14.9821	−	31.1107i	−0.558739	−	1.16023i	−0.968724	−	0.248142i	$-0.920180\pi$
$719$	−14.9821	−	31.1107i	−0.558739	−	1.16023i	0.409984	−	0.912093i	$-0.365534\pi$
$720$	18.9061	+	22.5634i	0.704588	+	0.840888i
$721$	−1.00115	−	1.25540i	−0.0372847	−	0.0467536i
$722$	−9.53748	+	4.01842i	−0.354948	+	0.149550i
$723$	3.09953	+	8.85795i	0.115273	+	0.329431i
$724$	6.35854	−	4.10363i	0.236313	−	0.152510i
$725$	10.1348	−	10.0615i	0.376397	−	0.373676i
$726$	4.45975	−	1.31415i	0.165517	−	0.0487726i
$727$	−2.84660	−	8.13512i	−0.105575	−	0.301715i	0.878963	−	0.476891i	$-0.158236\pi$
$727$	−2.84660	−	8.13512i	−0.105575	−	0.301715i	−0.984537	+	0.175176i	$0.943951\pi$
$728$	−1.18548	−	0.809159i	−0.0439369	−	0.0299894i
$729$	8.09460	−	6.45523i	0.299800	−	0.239083i
$730$	−7.87191	−	1.28847i	−0.291353	−	0.0476885i
$731$	1.18493	+	2.46053i	0.0438262	+	0.0910060i
$732$	4.84557	+	0.486583i	0.179098	+	0.0179846i
$733$	34.8114	+	21.8735i	1.28579	+	0.807914i	0.989126	−	0.147068i	$-0.0469837\pi$
$733$	34.8114	+	21.8735i	1.28579	+	0.807914i	0.296662	+	0.954983i	$0.404127\pi$
$734$	−7.63000	−	13.6100i	−0.281629	−	0.502355i
$735$	−11.1979	−	1.26170i	−0.413042	−	0.0465387i
$736$	−0.943317	−	2.09549i	−0.0347711	−	0.0772407i
$737$	−17.7785	−	17.7785i	−0.654879	−	0.654879i
$738$	25.9458	−	1.61483i	0.955079	−	0.0594428i
$739$	−10.3795	+	29.6629i	−0.381815	+	1.09117i	0.579323	+	0.815098i	$0.303317\pi$
$739$	−10.3795	+	29.6629i	−0.381815	+	1.09117i	−0.961138	+	0.276068i	$0.910969\pi$
$740$	21.6317	−	5.21385i	0.795199	−	0.191665i
$741$	15.3663	+	3.50726i	0.564495	+	0.128842i
$742$	−0.509556	+	0.935312i	−0.0187064	+	0.0343364i
$743$	−9.41831	−	14.9892i	−0.345524	−	0.549899i	0.628078	−	0.778151i	$-0.283842\pi$
$743$	−9.41831	−	14.9892i	−0.345524	−	0.549899i	−0.973602	+	0.228252i	$0.926699\pi$
$744$	−0.290122	−	0.313006i	−0.0106364	−	0.0114753i
$745$	−5.60116	−	24.5403i	−0.205210	−	0.899086i
$746$	7.92344	−	28.1427i	0.290098	−	1.03038i
$747$	−17.5374	−	13.9856i	−0.641660	−	0.511707i
$748$	−2.56997	+	4.20226i	−0.0939673	+	0.153650i
$749$	0.577823	−	1.19986i	0.0211132	−	0.0438420i
$750$	3.07101	−	4.38422i	0.112137	−	0.160089i
$751$	−4.69546	−	41.6734i	−0.171340	−	1.52068i	−0.725470	−	0.688253i	$-0.758378\pi$
$751$	−4.69546	−	41.6734i	−0.171340	−	1.52068i	0.554131	−	0.832430i	$-0.313051\pi$
$752$	4.24929	−	48.1817i	0.154956	−	1.75701i
$753$			15.8656i			0.578173i
$754$	35.0952	−	19.5080i	1.27809	−	0.710438i
$755$	−15.5889			−0.567339
$756$	−0.501194	−	0.389848i	−0.0182283	−	0.0141786i
$757$	27.0903	−	3.05235i	0.984615	−	0.110940i	0.395050	−	0.918660i	$-0.370727\pi$
$757$	27.0903	−	3.05235i	0.984615	−	0.110940i	0.589566	+	0.807720i	$0.299299\pi$
$758$	−6.92714	+	9.88931i	−0.251605	+	0.359196i
$759$	−0.870075	−	0.419006i	−0.0315817	−	0.0152090i
$760$	10.4089	−	38.7651i	0.377569	−	1.40616i
$761$	14.2848	−	17.9126i	0.517824	−	0.649331i	−0.452321	−	0.891855i	$-0.649404\pi$
$761$	14.2848	−	17.9126i	0.517824	−	0.649331i	0.970145	+	0.242524i	$0.0779754\pi$
$762$	−0.181241	−	0.0510275i	−0.00656566	−	0.00184853i
$763$	1.48765	−	0.339547i	0.0538567	−	0.0122924i
$764$	−41.7491	+	20.7322i	−1.51043	+	0.750064i
$765$	−3.76208	+	2.36387i	−0.136018	+	0.0854661i
$766$	−16.3296	+	29.9737i	−0.590012	+	1.08299i
$767$	−14.1363	+	61.9352i	−0.510433	+	2.23635i
$768$	−8.64097	+	3.50219i	−0.311804	+	0.126374i
$769$	24.1201	+	8.43998i	0.869792	+	0.304354i	0.728028	−	0.685547i	$-0.240437\pi$
$769$	24.1201	+	8.43998i	0.869792	+	0.304354i	0.141764	+	0.989900i	$0.454723\pi$
$770$	0.0954156	+	1.53306i	0.00343854	+	0.0552477i
$771$	−10.0993	+	10.0993i	−0.363716	+	0.363716i
$772$	−16.3624	+	35.0574i	−0.588897	+	1.26174i
$773$	2.33514	−	20.7249i	0.0839892	−	0.745425i	−0.879173	−	0.476503i	$-0.841904\pi$
$773$	2.33514	−	20.7249i	0.0839892	−	0.745425i	0.963162	−	0.268922i	$-0.0866673\pi$
$774$	−8.32251	−	14.8453i	−0.299146	−	0.533603i
$775$	−0.365335	+	0.581428i	−0.0131232	+	0.0208855i
$776$	−1.45482	+	0.274477i	−0.0522250	+	0.00985314i
$777$	−0.203244	+	0.0978770i	−0.00729133	+	0.00351132i
$778$	−7.41950	+	45.3294i	−0.266002	+	1.62514i
$779$	−22.1003	−	27.7129i	−0.791826	−	0.992918i
$780$	−13.1598	+	10.7580i	−0.471195	+	0.385198i
$781$	−33.5361	+	11.7348i	−1.20002	+	0.419904i
$782$	0.332709	−	0.0980386i	0.0118976	−	0.00350585i
$783$	16.0318	−	7.64899i	0.572929	−	0.273352i
$784$	−11.5186	+	25.4803i	−0.411379	+	0.910012i
$785$	−46.8681	+	16.3998i	−1.67279	+	0.585336i
$786$	−3.91335	−	9.28810i	−0.139585	−	0.331296i
$787$	36.9693	−	29.4820i	1.31781	−	1.05092i	0.323302	−	0.946296i	$-0.395207\pi$
$787$	36.9693	−	29.4820i	1.31781	−	1.05092i	0.994512	−	0.104626i	$-0.0333644\pi$
$788$	−9.91279	+	1.23872i	−0.353129	+	0.0441274i
$789$	0.248481	−	0.119662i	0.00884617	−	0.00426009i
$790$	−10.1633	+	24.9631i	−0.361594	+	0.888148i
$791$	−1.04087	−	0.654023i	−0.0370092	−	0.0232544i
$792$	14.3579	−	27.1321i	0.510186	−	0.964096i
$793$	2.46664	−	21.8920i	0.0875928	−	0.777407i
$794$	3.99380	−	4.52393i	0.141735	−	0.160548i
$795$	8.91904	+	8.91904i	0.316326	+	0.316326i
$796$	−2.78317	−	7.65502i	−0.0986468	−	0.271325i
$797$	−2.41515	−	0.845098i	−0.0855490	−	0.0299349i	0.287165	−	0.957881i	$-0.407287\pi$
$797$	−2.41515	−	0.845098i	−0.0855490	−	0.0299349i	−0.372714	+	0.927946i	$0.621573\pi$
$798$	−0.0203544	+	0.406413i	−0.000720539	+	0.0143869i
$799$	7.11751	+	1.62452i	0.251799	+	0.0574715i
$800$	9.04755	+	11.9661i	0.319879	+	0.423067i
$801$	15.4005	−	9.67675i	0.544149	−	0.341911i
$802$	26.7156	−	4.70586i	0.943359	−	0.166170i
$803$	1.85093	+	8.10946i	0.0653179	+	0.286177i
$804$	7.18254	−	0.0870362i	0.253309	−	0.00306953i
$805$	0.0674364	−	0.0845625i	0.00237682	−	0.00298044i
$806$	−1.43177	+	1.29519i	−0.0504318	+	0.0456212i
$807$	3.94731	−	8.19667i	0.138952	−	0.288537i
$808$	−2.01221	+	53.0333i	−0.0707892	+	1.86570i
$809$	−7.51282	+	0.846492i	−0.264137	+	0.0297611i	−0.243040	−	0.970016i	$-0.578145\pi$
$809$	−7.51282	+	0.846492i	−0.264137	+	0.0297611i	−0.0210971	+	0.999777i	$0.506716\pi$
$810$	19.2481	−	13.8333i	0.676309	−	0.486054i
$811$		−	30.3715i		−	1.06649i	−0.845962	−	0.533244i	$-0.820973\pi$
$811$		−	30.3715i		−	1.06649i	0.845962	−	0.533244i	$-0.179027\pi$
$812$	0.653194	+	0.804963i	0.0229226	+	0.0282487i
$813$			4.25631i			0.149275i
$814$	−13.5415	−	18.8421i	−0.474631	−	0.660415i
$815$	6.34263	−	0.714642i	0.222173	−	0.0250328i
$816$	−0.346303	−	1.36400i	−0.0121230	−	0.0477496i
$817$	−10.0686	+	20.9077i	−0.352256	+	0.731468i
$818$	2.92575	+	3.23426i	0.102296	+	0.113083i
$819$	−0.841744	+	1.05551i	−0.0294129	+	0.0368826i
$820$	38.2230	−	0.463176i	1.33480	−	0.0161748i
$821$	12.1219	+	53.1095i	0.423057	+	1.85353i	0.514163	+	0.857692i	$0.328103\pi$
$821$	12.1219	+	53.1095i	0.423057	+	1.85353i	−0.0911060	+	0.995841i	$0.529040\pi$
$822$	0.243525	+	1.38251i	0.00849392	+	0.0482207i
$823$	−43.0592	+	27.0559i	−1.50095	+	0.943108i	−0.504111	+	0.863639i	$0.668180\pi$
$823$	−43.0592	+	27.0559i	−1.50095	+	0.943108i	−0.996837	+	0.0794690i	$0.974678\pi$
$824$	3.50155	+	47.0560i	0.121982	+	1.63927i
$825$	6.14612	+	1.40281i	0.213981	+	0.0488397i
$826$	−1.63809	−	0.0820404i	−0.0569963	−	0.00285455i
$827$	−21.2321	−	7.42943i	−0.738312	−	0.258347i	−0.0651850	−	0.997873i	$-0.520764\pi$
$827$	−21.2321	−	7.42943i	−0.738312	−	0.258347i	−0.673127	+	0.739526i	$0.735049\pi$
$828$	−2.03143	+	0.738575i	−0.0705970	+	0.0256673i
$829$	−14.7782	−	14.7782i	−0.513267	−	0.513267i	0.402259	−	0.915526i	$-0.368225\pi$
$829$	−14.7782	−	14.7782i	−0.513267	−	0.513267i	−0.915526	+	0.402259i	$0.868225\pi$
$830$	−24.7269	−	21.8293i	−0.858283	−	0.757706i
$831$	0.543655	−	4.82507i	0.0188592	−	0.167380i
$832$	15.3683	+	39.2789i	0.532800	+	1.36175i
$833$	−3.57368	−	2.24549i	−0.123821	−	0.0778016i
$834$	2.59456	+	1.05633i	0.0898424	+	0.0365778i
$835$	15.5058	−	7.46720i	0.536600	−	0.258413i
$836$	−41.5328	+	5.19000i	−1.43644	+	0.179500i
$837$	−0.667765	+	0.532525i	−0.0230813	+	0.0184067i
$838$	−21.9664	+	9.25509i	−0.758816	+	0.319712i
$839$	24.3814	−	8.53142i	0.841739	−	0.294537i	0.125241	−	0.992126i	$-0.460030\pi$
$839$	24.3814	−	8.53142i	0.841739	−	0.294537i	0.716498	+	0.697589i	$0.245744\pi$
$840$	−0.332473	−	0.286420i	−0.0114714	−	0.00988242i
$841$	−28.3190	+	6.24783i	−0.976517	+	0.215443i
$842$	−1.12088	−	3.80387i	−0.0386281	−	0.131090i
$843$	−12.4724	+	4.36428i	−0.429573	+	0.150314i
$844$	34.0689	+	41.6749i	1.17270	+	1.43451i
$845$	25.5206	+	32.0018i	0.877936	+	1.10090i
$846$	−44.8983	−	7.34894i	−1.54363	−	0.252662i
$847$	0.489235	−	0.235603i	0.0168103	−	0.00809542i
$848$	27.8626	−	14.2597i	0.956805	−	0.489681i
$849$	1.09161	−	1.73729i	0.0374641	−	0.0596238i
$850$	−1.97506	+	1.10725i	−0.0677441	+	0.0379785i
$851$	−0.182935	+	1.62360i	−0.00627095	+	0.0556562i
$852$	4.29308	−	9.19814i	0.147078	−	0.315123i
$853$	−28.8658	+	28.8658i	−0.988348	+	0.988348i	−0.999933	−	0.0115851i	$-0.996312\pi$
$853$	−28.8658	+	28.8658i	−0.988348	+	0.988348i	0.0115851	+	0.999933i	$0.496312\pi$
$854$	0.567676	−	0.0353314i	0.0194255	−	0.00120901i
$855$	−35.6354	−	12.4694i	−1.21871	−	0.426444i
$856$	−33.9022	+	19.5498i	−1.15875	+	0.668197i
$857$	−11.4889	+	50.3362i	−0.392453	+	1.71945i	0.263508	+	0.964657i	$0.415120\pi$
$857$	−11.4889	+	50.3362i	−0.392453	+	1.71945i	−0.655962	+	0.754794i	$0.727737\pi$
$858$	15.5648	+	8.47969i	0.531375	+	0.289492i
$859$	−11.4397	+	7.18805i	−0.390318	+	0.245253i	−0.712866	−	0.701300i	$-0.752603\pi$
$859$	−11.4397	+	7.18805i	−0.390318	+	0.245253i	0.322548	+	0.946553i	$0.395460\pi$
$860$	−11.1306	−	22.4140i	−0.379550	−	0.764312i
$861$	−0.377818	+	0.0862345i	−0.0128760	+	0.00293886i
$862$	−8.36644	+	29.7162i	−0.284962	+	1.01214i
$863$	8.88566	−	11.1423i	0.302471	−	0.379287i	−0.607247	−	0.794513i	$-0.707726\pi$
$863$	8.88566	−	11.1423i	0.302471	−	0.379287i	0.909718	+	0.415226i	$0.136298\pi$
$864$	5.70622	+	17.7653i	0.194130	+	0.604386i
$865$	−41.5465	−	20.0077i	−1.41262	−	0.680283i
$866$	−24.7018	−	17.3028i	−0.839403	−	0.587975i
$867$	−9.63308	+	1.08539i	−0.327157	+	0.0368617i
$868$	−0.0393442	−	0.0306034i	−0.00133543	−	0.00103875i
$869$	28.1061			0.953435
$870$	11.3304	−	4.72551i	0.384136	−	0.160210i
$871$		−	32.4946i		−	1.10104i
$872$	−41.7326	−	16.4041i	−1.41325	−	0.555513i
$873$	0.155916	+	1.38379i	0.00527695	+	0.0468342i
$874$	2.41398	+	1.69092i	0.0816541	+	0.0571961i
$875$	0.271251	−	0.563258i	0.00916995	−	0.0190416i
$876$	−2.02733	−	1.23985i	−0.0684971	−	0.0418906i
$877$	−12.7649	−	10.1797i	−0.431040	−	0.343743i	0.383813	−	0.923411i	$-0.374611\pi$
$877$	−12.7649	−	10.1797i	−0.431040	−	0.343743i	−0.814853	+	0.579668i	$0.803182\pi$
$878$	−30.8925	−	8.69764i	−1.04257	−	0.293531i
$879$	0.223589	+	0.979608i	0.00754148	+	0.0330414i
$880$	23.0818	−	38.7903i	0.778086	−	1.30762i
$881$	4.67399	+	7.43861i	0.157471	+	0.250613i	0.916136	−	0.400867i	$-0.131291\pi$
$881$	4.67399	+	7.43861i	0.157471	+	0.250613i	−0.758665	+	0.651480i	$0.774148\pi$
$882$	23.0968	+	12.5831i	0.777709	+	0.423694i
$883$	−38.0965	−	8.69528i	−1.28205	−	0.292619i	−0.473367	−	0.880865i	$-0.656962\pi$
$883$	−38.0965	−	8.69528i	−1.28205	−	0.292619i	−0.808682	+	0.588246i	$0.799819\pi$
$884$	−6.18896	+	1.49171i	−0.208157	+	0.0501717i
$885$	−6.41506	+	18.3332i	−0.215640	+	0.616264i
$886$	−2.07116	−	33.2777i	−0.0695819	−	1.11799i
$887$	−6.13351	−	6.13351i	−0.205943	−	0.205943i	0.596598	−	0.802541i	$-0.296519\pi$
$887$	−6.13351	−	6.13351i	−0.205943	−	0.205943i	−0.802541	+	0.596598i	$0.796519\pi$
$888$	6.55451	+	0.991447i	0.219955	+	0.0332708i
$889$	−0.0218523	−	0.00246216i	−0.000732903	−	8.25784e-5i
$890$	23.3290	−	13.0786i	0.781989	−	0.438396i
$891$	−20.9291	−	13.1506i	−0.701150	−	0.440562i
$892$	−3.99993	+	39.8328i	−0.133928	+	1.33370i
$893$	26.9157	+	55.8911i	0.900700	+	1.87032i
$894$	1.21132	−	7.40056i	0.0405126	−	0.247512i
$895$	−33.5037	+	26.7183i	−1.11991	+	0.893095i
$896$	−0.929879	+	0.566676i	−0.0310651	+	0.0189313i
$897$	−0.412220	−	1.17806i	−0.0137636	−	0.0393342i
$898$	−10.1495	−	34.4437i	−0.338692	−	1.14940i
$899$	1.25851	−	0.600452i	0.0419736	−	0.0200262i
$900$	11.8558	−	7.65145i	0.395195	−	0.255048i
$901$	1.56031	+	4.45910i	0.0519814	+	0.148554i
$902$	−15.4772	−	36.7342i	−0.515335	−	1.22312i
$903$	0.158186	+	0.198358i	0.00526409	+	0.00660096i
$904$	14.4285	+	33.1178i	0.479884	+	1.10148i
$905$	−4.54146	−	9.43043i	−0.150963	−	0.313478i
$906$	−4.30141	−	1.75125i	−0.142905	−	0.0581813i
$907$	−7.26704	+	11.5654i	−0.241298	+	0.384023i	−0.945315	−	0.326160i	$-0.894245\pi$
$907$	−7.26704	+	11.5654i	−0.241298	+	0.384023i	0.704017	+	0.710183i	$0.251388\pi$
$908$	−5.24584	+	5.37453i	−0.174089	+	0.178360i
$909$	49.6052	+	5.58916i	1.64530	+	0.185381i
$910$	−1.31383	+	1.48822i	−0.0435529	+	0.0493341i
$911$	4.77868	−	4.77868i	0.158325	−	0.158325i	−0.623499	−	0.781824i	$-0.714290\pi$
$911$	4.77868	−	4.77868i	0.158325	−	0.158325i	0.781824	+	0.623499i	$0.214290\pi$
$912$	7.22693	−	9.52702i	0.239307	−	0.315471i
$913$	−11.3601	+	32.4652i	−0.375963	+	1.07444i
$914$	−52.3422	−	2.62146i	−1.73133	−	0.0867102i
$915$	1.49882	−	6.56677i	0.0495495	−	0.217091i
$916$	15.9605	+	3.43996i	0.527350	+	0.113660i
$917$	−0.626275	−	0.996710i	−0.0206814	−	0.0329143i
$918$	−2.77363	+	0.488566i	−0.0915434	+	0.0161251i
$919$	7.23122	−	1.65048i	0.238536	−	0.0544443i	−0.101582	−	0.994827i	$-0.532390\pi$
$919$	7.23122	−	1.65048i	0.238536	−	0.0544443i	0.340118	+	0.940383i	$0.389533\pi$
$920$	−3.03769	+	0.935260i	−0.100150	+	0.0308346i
$921$	−7.29326	−	5.81618i	−0.240321	−	0.191650i
$922$	−9.13026	−	10.0930i	−0.300689	−	0.332396i
$923$	−41.3719	−	19.9237i	−1.36177	−	0.655796i
$924$	−0.145895	+	0.433732i	−0.00479959	+	0.0142687i
$925$	−1.19421	−	10.5989i	−0.0392653	−	0.348489i
$926$	35.1527	−	25.2638i	1.15519	−	0.830219i
$927$	44.3833			1.45774
$928$	−2.51842	−	30.3588i	−0.0826710	−	0.996577i
$929$	23.2796			0.763778			0.381889	−	0.924208i	$-0.375274\pi$
$929$	23.2796			0.763778			0.381889	+	0.924208i	$0.375274\pi$
$930$	−0.479335	+	0.344491i	−0.0157180	+	0.0112963i
$931$	−4.01542	−	35.6378i	−0.131600	−	1.16798i
$932$	−5.16655	+	15.3597i	−0.169236	+	0.503122i
$933$	13.3546	+	6.43125i	0.437211	+	0.210550i
$934$	20.4164	+	22.5692i	0.668045	+	0.738488i
$935$	5.32657	+	4.24780i	0.174197	+	0.138918i
$936$	37.9166	−	11.6740i	1.23934	−	0.381575i
$937$	−27.4683	+	6.26946i	−0.897350	+	0.204814i	−0.646231	−	0.763142i	$-0.723656\pi$
$937$	−27.4683	+	6.26946i	−0.897350	+	0.204814i	−0.251119	+	0.967956i	$0.580799\pi$
$938$	0.826211	−	0.145534i	0.0269768	−	0.00475187i
$939$	−4.24857	−	6.76156i	−0.138647	−	0.220655i
$940$	−65.3974	−	14.0951i	−2.13303	−	0.459731i
$941$	−3.21188	+	14.0722i	−0.104704	+	0.458739i	0.895210	+	0.445644i	$0.147025\pi$
$941$	−3.21188	+	14.0722i	−0.104704	+	0.458739i	−0.999914	+	0.0130947i	$0.995832\pi$
$942$	−14.7745	−	0.739954i	−0.481380	−	0.0241090i
$943$	−0.927047	+	2.64935i	−0.0301888	+	0.0862746i
$944$	38.3995	+	29.1288i	1.24980	+	0.948061i
$945$	−0.620995	+	0.620995i	−0.0202010	+	0.0202010i
$946$	−17.2711	+	19.5636i	−0.561532	+	0.636069i
$947$	19.3111	+	2.17584i	0.627527	+	0.0707053i	0.420000	−	0.907524i	$-0.362030\pi$
$947$	19.3111	+	2.17584i	0.627527	+	0.0707053i	0.207527	+	0.978229i	$0.433459\pi$
$948$	−5.60867	+	5.74627i	−0.182161	+	0.186630i
$949$	−5.71950	+	9.10254i	−0.185663	+	0.295481i
$950$	−17.8197	−	7.25498i	−0.578147	−	0.235383i
$951$	3.41384	+	7.08891i	0.110701	+	0.229874i
$952$	−0.0656472	−	0.150680i	−0.00212764	−	0.00488358i
$953$	21.5374	+	27.0070i	0.697664	+	0.874843i	0.996847	−	0.0793531i	$-0.0252855\pi$
$953$	21.5374	+	27.0070i	0.697664	+	0.874843i	−0.299183	+	0.954196i	$0.596714\pi$
$954$	−11.4310	−	27.1307i	−0.370091	−	0.878388i
$955$	21.2935	+	60.8533i	0.689041	+	1.96917i
$956$	−47.1784	+	30.4477i	−1.52586	+	0.984749i
$957$	−9.01925	−	9.08492i	−0.291551	−	0.293674i
$958$	−11.0865	−	37.6236i	−0.358188	−	1.21556i
$959$	0.0541504	+	0.154753i	0.00174861	+	0.00499723i
$960$	3.32459	+	12.4598i	0.107301	+	0.402137i
$961$	24.1844	−	19.2864i	0.780141	−	0.622141i
$962$	4.84403	−	29.5946i	0.156178	−	0.954167i
$963$	15.9715	+	33.1651i	0.514674	+	1.06873i
$964$	3.21817	−	32.0477i	0.103650	−	1.03219i
$965$	45.3077	+	28.4687i	1.45851	+	0.916440i
$966$	0.0281072	−	0.0157574i	0.000904335	−	0.000506985i
$967$	−21.3634	−	2.40707i	−0.686999	−	0.0774062i	−0.238437	−	0.971158i	$-0.576635\pi$
$967$	−21.3634	−	2.40707i	−0.686999	−	0.0774062i	−0.448562	+	0.893752i	$0.648064\pi$
$968$	−15.7776	−	2.38655i	−0.507110	−	0.0767065i
$969$	1.27624	+	1.27624i	0.0409987	+	0.0409987i
$970$	0.127198	+	2.04371i	0.00408408	+	0.0656197i
$971$	−0.385655	+	1.10214i	−0.0123763	+	0.0353693i	−0.949906	−	0.312536i	$-0.898821\pi$
$971$	−0.385655	+	1.10214i	−0.0123763	+	0.0353693i	0.937530	+	0.347906i	$0.113107\pi$
$972$	26.1052	−	6.29207i	0.837324	−	0.201818i
$973$	0.318975	+	0.0728041i	0.0102259	+	0.00233399i
$974$	−39.0322	−	21.2647i	−1.25067	−	0.681364i
$975$	4.33479	+	6.89877i	0.138824	+	0.220938i
$976$	−14.3636	−	8.54693i	−0.459768	−	0.273581i
$977$	1.22449	+	5.36485i	0.0391749	+	0.171637i	0.990731	−	0.135839i	$-0.0433729\pi$
$977$	1.22449	+	5.36485i	0.0391749	+	0.171637i	−0.951556	+	0.307475i	$0.900516\pi$
$978$	1.83039	+	0.515336i	0.0585293	+	0.0164786i
$979$	−21.8048	−	17.3888i	−0.696885	−	0.555747i
$980$	32.9946	+	20.1784i	1.05397	+	0.644576i
$981$	−18.3001	+	38.0006i	−0.584277	+	1.21326i
$982$	−22.0602	−	15.4525i	−0.703970	−	0.493108i
$983$	5.61651	+	49.8479i	0.179139	+	1.58990i	0.685823	+	0.727769i	$0.259443\pi$
$983$	5.61651	+	49.8479i	0.179139	+	1.58990i	−0.506684	+	0.862132i	$0.669129\pi$
$984$	10.5988	+	4.16613i	0.337877	+	0.132811i
$985$			13.8171i			0.440249i
$986$	4.59133	+	0.246647i	0.146218	+	0.00785484i
$987$	0.678225			0.0215881
$988$	−42.6988	−	33.2128i	−1.35843	−	1.05664i
$989$	1.82603	−	0.205744i	0.0580645	−	0.00654229i
$990$	−34.7745	−	24.3584i	−1.10521	−	0.774162i
$991$	−40.9298	−	19.7108i	−1.30018	−	0.626133i	−0.349682	−	0.936869i	$-0.613710\pi$
$991$	−40.9298	−	19.7108i	−1.30018	−	0.626133i	−0.950496	+	0.310736i	$0.899424\pi$
$992$	0.447944	+	1.39459i	0.0142222	+	0.0442783i
$993$	2.88948	−	3.62329i	0.0916949	−	0.114982i
$994$	0.321288	−	1.14116i	0.0101906	−	0.0361954i
$995$	−10.9833	+	2.50687i	−0.348194	+	0.0794730i
$996$	−4.37054	−	8.80109i	−0.138486	−	0.278873i
$997$	30.9723	−	19.4612i	0.980903	−	0.616342i	0.0567594	−	0.998388i	$-0.481923\pi$
$997$	30.9723	−	19.4612i	0.980903	−	0.616342i	0.924143	+	0.382046i	$0.124780\pi$
$998$	31.0574	+	16.9200i	0.983105	+	0.535593i
$999$	2.95207	−	12.9339i	0.0933995	−	0.409210i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	232.2.v.a.11.7	yes	336
4.3	odd	2		928.2.bn.a.591.13		336
8.3	odd	2	inner	232.2.v.a.11.1	✓	336
8.5	even	2		928.2.bn.a.591.14		336
29.8	odd	28	inner	232.2.v.a.211.1	yes	336
116.95	even	28		928.2.bn.a.559.14		336
232.37	odd	28		928.2.bn.a.559.13		336
232.211	even	28	inner	232.2.v.a.211.7	yes	336

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
232.2.v.a.11.1	✓	336	8.3	odd	2	inner
232.2.v.a.11.7	yes	336	1.1	even	1	trivial
232.2.v.a.211.1	yes	336	29.8	odd	28	inner
232.2.v.a.211.7	yes	336	232.211	even	28	inner
928.2.bn.a.559.13		336	232.37	odd	28
928.2.bn.a.559.14		336	116.95	even	28
928.2.bn.a.591.13		336	4.3	odd	2
928.2.bn.a.591.14		336	8.5	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 232 = 2^{3} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	232.v (of order \(28\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.14840 + 0.825338i) q^{2} +(0.0652453 + 0.579068i) q^{3} +(0.637636 - 1.89563i) q^{4} +(-2.49227 - 1.20021i) q^{5} +(-0.552854 - 0.611151i) q^{6} +(-0.0752512 - 0.0600108i) q^{7} +(0.832277 + 2.70320i) q^{8} +(2.59372 - 0.592000i) q^{9} +O(q^{10})\)	\(q+(-1.14840 + 0.825338i) q^{2} +(0.0652453 + 0.579068i) q^{3} +(0.637636 - 1.89563i) q^{4} +(-2.49227 - 1.20021i) q^{5} +(-0.552854 - 0.611151i) q^{6} +(-0.0752512 - 0.0600108i) q^{7} +(0.832277 + 2.70320i) q^{8} +(2.59372 - 0.592000i) q^{9} +(3.85270 - 0.678641i) q^{10} +(-2.17038 - 3.45414i) q^{11} +(1.13930 + 0.245553i) q^{12} +(1.17320 - 5.14011i) q^{13} +(0.135947 + 0.00680867i) q^{14} +(0.532397 - 1.52150i) q^{15} +(-3.18684 - 2.41745i) q^{16} +(0.426909 - 0.426909i) q^{17} +(-2.49002 + 2.82055i) q^{18} +(5.09787 + 0.574392i) q^{19} +(-3.86433 + 3.95913i) q^{20} +(0.0298406 - 0.0474910i) q^{21} +(5.34330 + 2.17543i) q^{22} +(-0.176260 - 0.366007i) q^{23} +(-1.51104 + 0.658316i) q^{24} +(1.65345 + 2.07336i) q^{25} +(2.89503 + 6.87117i) q^{26} +(1.08943 + 3.11341i) q^{27} +(-0.161741 + 0.104383i) q^{28} +(-0.583533 - 5.35346i) q^{29} +(0.644350 + 2.18670i) q^{30} +(0.0855212 + 0.244405i) q^{31} +(5.65497 + 0.145970i) q^{32} +(1.85858 - 1.48217i) q^{33} +(-0.137917 + 0.842606i) q^{34} +(0.115520 + 0.239881i) q^{35} +(0.531636 - 5.29422i) q^{36} +(-3.40550 - 2.13981i) q^{37} +(-6.32845 + 3.54783i) q^{38} +(3.05302 + 0.343992i) q^{39} +(1.17017 - 7.73603i) q^{40} +(-4.88569 - 4.88569i) q^{41} +(0.00492725 + 0.0791671i) q^{42} +(-1.49400 + 4.26960i) q^{43} +(-7.93170 + 1.91176i) q^{44} +(-7.17478 - 1.63760i) q^{45} +(0.504495 + 0.274848i) q^{46} +(6.43343 + 10.2387i) q^{47} +(1.19194 - 2.00312i) q^{48} +(-1.55559 - 6.81546i) q^{49} +(-3.61004 - 1.01639i) q^{50} +(0.275063 + 0.219356i) q^{51} +(-8.99568 - 5.50146i) q^{52} +(-3.39510 + 7.04999i) q^{53} +(-3.82071 - 2.67629i) q^{54} +(1.26347 + 11.2136i) q^{55} +(0.0995917 - 0.253365i) q^{56} +2.98949i q^{57} +(5.08854 + 5.66629i) q^{58} -12.0494 q^{59} +(-2.54473 - 1.97939i) q^{60} +(4.15227 - 0.467848i) q^{61} +(-0.299929 - 0.210091i) q^{62} +(-0.230707 - 0.111103i) q^{63} +(-6.61463 + 4.49963i) q^{64} +(-9.09315 + 11.4025i) q^{65} +(-0.911099 + 3.23607i) q^{66} +(6.00874 - 1.37146i) q^{67} +(-0.537050 - 1.08148i) q^{68} +(0.200443 - 0.125947i) q^{69} +(-0.330646 - 0.180135i) q^{70} +(1.93806 - 8.49120i) q^{71} +(3.75899 + 6.51865i) q^{72} +(-1.92459 - 0.673445i) q^{73} +(5.67693 - 0.353324i) q^{74} +(-1.09274 + 1.09274i) q^{75} +(4.33942 - 9.29743i) q^{76} +(-0.0439621 + 0.390175i) q^{77} +(-3.78999 + 2.12473i) q^{78} +(-3.66556 + 5.83371i) q^{79} +(5.04102 + 9.84982i) q^{80} +(5.45908 - 2.62895i) q^{81} +(9.64307 + 1.57837i) q^{82} +(-5.25691 - 6.59196i) q^{83} +(-0.0709980 - 0.0868487i) q^{84} +(-1.57636 + 0.551591i) q^{85} +(-1.80816 - 6.13625i) q^{86} +(3.06194 - 0.687193i) q^{87} +(7.53090 - 8.74179i) q^{88} +(6.45297 - 2.25799i) q^{89} +(9.59107 - 4.04100i) q^{90} +(-0.396746 + 0.316395i) q^{91} +(-0.806204 + 0.100744i) q^{92} +(-0.135948 + 0.0654689i) q^{93} +(-15.8386 - 6.44841i) q^{94} +(-12.0159 - 7.55007i) q^{95} +(0.284434 + 3.28414i) q^{96} +(-0.0586056 + 0.520139i) q^{97} +(7.41149 + 6.54298i) q^{98} +(-7.67422 - 7.67422i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 336 q - 14 q^{2} - 24 q^{3} - 14 q^{4} - 14 q^{6} - 8 q^{8} - 28 q^{9}+O(q^{10}) \) 336 * q - 14 * q^2 - 24 * q^3 - 14 * q^4 - 14 * q^6 - 8 * q^8 - 28 * q^9	\( 336 q - 14 q^{2} - 24 q^{3} - 14 q^{4} - 14 q^{6} - 8 q^{8} - 28 q^{9} - 8 q^{10} - 32 q^{11} - 24 q^{12} - 14 q^{14} + 10 q^{16} - 28 q^{17} - 20 q^{18} - 24 q^{19} + 6 q^{20} - 14 q^{22} + 2 q^{24} - 52 q^{25} + 8 q^{26} - 60 q^{27} - 8 q^{30} - 4 q^{32} - 28 q^{33} - 14 q^{34} - 28 q^{35} - 38 q^{36} - 14 q^{38} - 20 q^{41} - 14 q^{42} - 16 q^{43} + 42 q^{44} - 56 q^{46} + 32 q^{48} + 12 q^{49} - 78 q^{50} - 28 q^{51} + 74 q^{52} - 124 q^{54} + 36 q^{56} - 158 q^{58} - 48 q^{59} + 200 q^{60} - 112 q^{62} + 112 q^{64} + 20 q^{65} - 136 q^{66} - 28 q^{67} + 60 q^{68} - 182 q^{70} + 48 q^{72} - 4 q^{73} - 16 q^{74} + 64 q^{75} - 10 q^{76} + 50 q^{78} - 14 q^{80} - 28 q^{81} + 10 q^{82} - 20 q^{83} - 36 q^{84} - 80 q^{88} - 28 q^{89} - 28 q^{90} - 28 q^{91} - 14 q^{92} - 106 q^{94} + 28 q^{96} - 32 q^{97} + 12 q^{98} - 32 q^{99}+O(q^{100}) \) 336 * q - 14 * q^2 - 24 * q^3 - 14 * q^4 - 14 * q^6 - 8 * q^8 - 28 * q^9 - 8 * q^10 - 32 * q^11 - 24 * q^12 - 14 * q^14 + 10 * q^16 - 28 * q^17 - 20 * q^18 - 24 * q^19 + 6 * q^20 - 14 * q^22 + 2 * q^24 - 52 * q^25 + 8 * q^26 - 60 * q^27 - 8 * q^30 - 4 * q^32 - 28 * q^33 - 14 * q^34 - 28 * q^35 - 38 * q^36 - 14 * q^38 - 20 * q^41 - 14 * q^42 - 16 * q^43 + 42 * q^44 - 56 * q^46 + 32 * q^48 + 12 * q^49 - 78 * q^50 - 28 * q^51 + 74 * q^52 - 124 * q^54 + 36 * q^56 - 158 * q^58 - 48 * q^59 + 200 * q^60 - 112 * q^62 + 112 * q^64 + 20 * q^65 - 136 * q^66 - 28 * q^67 + 60 * q^68 - 182 * q^70 + 48 * q^72 - 4 * q^73 - 16 * q^74 + 64 * q^75 - 10 * q^76 + 50 * q^78 - 14 * q^80 - 28 * q^81 + 10 * q^82 - 20 * q^83 - 36 * q^84 - 80 * q^88 - 28 * q^89 - 28 * q^90 - 28 * q^91 - 14 * q^92 - 106 * q^94 + 28 * q^96 - 32 * q^97 + 12 * q^98 - 32 * q^99

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