LMFDB - Embedded newform 232.2.o.a.109.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [232,2,Mod(5,232)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(232, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 7, 11]))

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

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

chi := DirichletCharacter("232.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 232 = 2^{3} \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	232.o (of order $14$, degree $6$, 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:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			109.11
Character	$\chi$	$=$	232.109
Dual form			232.2.o.a.149.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.535399 - 1.30895i) q^{2} +(1.28566 + 0.619139i) q^{3} +(-1.42670 + 1.40162i) q^{4} +(1.62446 - 0.370773i) q^{5} +(0.122083 - 2.01435i) q^{6} +(0.720443 + 0.346947i) q^{7} +(2.59850 + 1.11705i) q^{8} +(-0.600891 - 0.753493i) q^{9} +O(q^{10})$	\(q+(-0.535399 - 1.30895i) q^{2} +(1.28566 + 0.619139i) q^{3} +(-1.42670 + 1.40162i) q^{4} +(1.62446 - 0.370773i) q^{5} +(0.122083 - 2.01435i) q^{6} +(0.720443 + 0.346947i) q^{7} +(2.59850 + 1.11705i) q^{8} +(-0.600891 - 0.753493i) q^{9} +(-1.35506 - 1.92783i) q^{10} +(-0.468070 + 0.586941i) q^{11} +(-2.70204 + 0.918679i) q^{12} +(5.21516 + 4.15895i) q^{13} +(0.0684115 - 1.12878i) q^{14} +(2.31806 + 0.529083i) q^{15} +(0.0709196 - 3.99937i) q^{16} -6.16484i q^{17} +(-0.664568 + 1.18996i) q^{18} +(1.97775 - 0.952434i) q^{19} +(-1.79793 + 2.80586i) q^{20} +(0.711434 + 0.892109i) q^{21} +(1.01888 + 0.298432i) q^{22} +(-0.962107 + 4.21527i) q^{23} +(2.64917 + 3.04497i) q^{24} +(-2.00343 + 0.964802i) q^{25} +(2.65166 - 9.05308i) q^{26} +(-1.25861 - 5.51435i) q^{27} +(-1.51414 + 0.514800i) q^{28} +(-2.43668 - 4.80235i) q^{29} +(-0.548547 - 3.31750i) q^{30} +(-7.61340 + 1.73771i) q^{31} +(-5.27294 + 2.04843i) q^{32} +(-0.965176 + 0.464804i) q^{33} +(-8.06946 + 3.30065i) q^{34} +(1.29897 + 0.296482i) q^{35} +(1.91340 + 0.232784i) q^{36} +(0.414430 + 0.519679i) q^{37} +(-2.30557 - 2.07884i) q^{38} +(4.12993 + 8.57589i) q^{39} +(4.63534 + 0.851145i) q^{40} -0.363765i q^{41} +(0.786825 - 1.40886i) q^{42} +(-1.89388 + 8.29765i) q^{43} +(-0.154876 - 1.49344i) q^{44} +(-1.25550 - 1.00123i) q^{45} +(6.03268 - 0.997501i) q^{46} +(3.94894 + 3.14918i) q^{47} +(2.56735 - 5.09791i) q^{48} +(-3.96576 - 4.97291i) q^{49} +(2.33551 + 2.10584i) q^{50} +(3.81689 - 7.92586i) q^{51} +(-13.2697 + 1.37612i) q^{52} +(0.146991 - 0.0335498i) q^{53} +(-6.54414 + 4.59984i) q^{54} +(-0.542741 + 1.12701i) q^{55} +(1.48452 + 1.70631i) q^{56} +3.13240 q^{57} +(-4.98144 + 5.76066i) q^{58} +4.94095i q^{59} +(-4.04874 + 2.49421i) q^{60} +(1.37808 + 0.663650i) q^{61} +(6.35078 + 9.03519i) q^{62} +(-0.171485 - 0.751326i) q^{63} +(5.50442 + 5.80529i) q^{64} +(10.0139 + 4.82243i) q^{65} +(1.12516 + 1.01451i) q^{66} +(-6.17885 + 4.92747i) q^{67} +(8.64076 + 8.79535i) q^{68} +(-3.84678 + 4.82370i) q^{69} +(-0.307389 - 1.85903i) q^{70} +(-0.582680 + 0.730658i) q^{71} +(-0.719730 - 2.62918i) q^{72} +(-12.1800 - 2.78001i) q^{73} +(0.458348 - 0.820704i) q^{74} -3.17307 q^{75} +(-1.48670 + 4.13089i) q^{76} +(-0.540855 + 0.260462i) q^{77} +(9.01424 - 9.99740i) q^{78} +(-8.96435 + 7.14883i) q^{79} +(-1.36765 - 6.52313i) q^{80} +(1.15264 - 5.05004i) q^{81} +(-0.476150 + 0.194760i) q^{82} +(-2.44710 - 5.08146i) q^{83} +(-2.26540 - 0.275609i) q^{84} +(-2.28576 - 10.0146i) q^{85} +(11.8752 - 1.96356i) q^{86} +(-0.159401 - 7.68282i) q^{87} +(-1.87192 + 1.00231i) q^{88} +(6.33989 - 1.44704i) q^{89} +(-0.638363 + 2.17944i) q^{90} +(2.31429 + 4.80567i) q^{91} +(-4.53557 - 7.36241i) q^{92} +(-10.8641 - 2.47966i) q^{93} +(2.00785 - 6.85503i) q^{94} +(2.85965 - 2.28049i) q^{95} +(-8.04746 - 0.631111i) q^{96} +(-2.10914 - 4.37967i) q^{97} +(-4.38602 + 7.85347i) q^{98} +0.723516 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9}+O(q^{10}) $ 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9	$ 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9} - 7 q^{10} - 7 q^{14} - 14 q^{15} + 5 q^{16} - 56 q^{18} - 27 q^{20} - 12 q^{22} - 6 q^{23} + 9 q^{24} + 14 q^{25} - 7 q^{26} + 16 q^{28} - 22 q^{30} - 14 q^{31} - 42 q^{32} + 2 q^{33} - 5 q^{34} + 4 q^{36} + 58 q^{38} + 70 q^{39} - 7 q^{40} - 32 q^{42} - 14 q^{44} - 14 q^{47} - 84 q^{48} - 26 q^{49} + 42 q^{50} + 16 q^{52} + 40 q^{54} - 14 q^{55} - 7 q^{56} - 12 q^{57} + 53 q^{58} - 126 q^{60} + 57 q^{62} + 50 q^{63} - 30 q^{64} - 60 q^{65} + 133 q^{66} - 28 q^{68} - 46 q^{71} - 119 q^{72} - 84 q^{73} - 40 q^{74} - 77 q^{76} + 29 q^{78} - 154 q^{79} + 66 q^{80} - 26 q^{81} - 48 q^{82} + 63 q^{84} - 32 q^{86} - 46 q^{87} - 10 q^{88} - 14 q^{89} + 140 q^{90} + 20 q^{92} - 26 q^{94} - 14 q^{95} + 136 q^{96} + 28 q^{98}+O(q^{100}) $ 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9 - 7 * q^10 - 7 * q^14 - 14 * q^15 + 5 * q^16 - 56 * q^18 - 27 * q^20 - 12 * q^22 - 6 * q^23 + 9 * q^24 + 14 * q^25 - 7 * q^26 + 16 * q^28 - 22 * q^30 - 14 * q^31 - 42 * q^32 + 2 * q^33 - 5 * q^34 + 4 * q^36 + 58 * q^38 + 70 * q^39 - 7 * q^40 - 32 * q^42 - 14 * q^44 - 14 * q^47 - 84 * q^48 - 26 * q^49 + 42 * q^50 + 16 * q^52 + 40 * q^54 - 14 * q^55 - 7 * q^56 - 12 * q^57 + 53 * q^58 - 126 * q^60 + 57 * q^62 + 50 * q^63 - 30 * q^64 - 60 * q^65 + 133 * q^66 - 28 * q^68 - 46 * q^71 - 119 * q^72 - 84 * q^73 - 40 * q^74 - 77 * q^76 + 29 * q^78 - 154 * q^79 + 66 * q^80 - 26 * q^81 - 48 * q^82 + 63 * q^84 - 32 * q^86 - 46 * q^87 - 10 * q^88 - 14 * q^89 + 140 * q^90 + 20 * q^92 - 26 * q^94 - 14 * q^95 + 136 * q^96 + 28 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$89$	$117$	$175$
$\chi(n)$	$e\left(\frac{13}{14}\right)$	$-1$	$1$

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 $

$2$	−0.535399	−	1.30895i	−0.378584	−	0.925567i
$2$	−0.535399	−	1.30895i	−0.378584	−	0.925567i
$3$	1.28566	+	0.619139i	0.742274	+	0.357460i	0.766498	−	0.642246i	$-0.221997\pi$
$3$	1.28566	+	0.619139i	0.742274	+	0.357460i	−0.0242244	+	0.999707i	$0.507712\pi$
$4$	−1.42670	+	1.40162i	−0.713348	+	0.700810i
$5$	1.62446	−	0.370773i	0.726483	−	0.165815i	0.156742	−	0.987640i	$-0.449901\pi$
$5$	1.62446	−	0.370773i	0.726483	−	0.165815i	0.569741	+	0.821825i	$0.307044\pi$
$6$	0.122083	−	2.01435i	0.0498400	−	0.822353i
$7$	0.720443	+	0.346947i	0.272302	+	0.131134i	0.565052	−	0.825055i	$-0.308856\pi$
$7$	0.720443	+	0.346947i	0.272302	+	0.131134i	−0.292750	+	0.956189i	$0.594570\pi$
$8$	2.59850	+	1.11705i	0.918709	+	0.394935i
$9$	−0.600891	−	0.753493i	−0.200297	−	0.251164i
$10$	−1.35506	−	1.92783i	−0.428508	−	0.609633i
$11$	−0.468070	+	0.586941i	−0.141128	+	0.176969i	−0.847372	−	0.530999i	$-0.821817\pi$
$11$	−0.468070	+	0.586941i	−0.141128	+	0.176969i	0.706244	+	0.707969i	$0.250388\pi$
$12$	−2.70204	+	0.918679i	−0.780011	+	0.265200i
$13$	5.21516	+	4.15895i	1.44643	+	1.15349i	0.960082	+	0.279717i	$0.0902407\pi$
$13$	5.21516	+	4.15895i	1.44643	+	1.15349i	0.486343	+	0.873768i	$0.338331\pi$
$14$	0.0684115	−	1.12878i	0.0182837	−	0.301679i
$15$	2.31806	+	0.529083i	0.598521	+	0.136609i
$16$	0.0709196	−	3.99937i	0.0177299	−	0.999843i
$17$		−	6.16484i		−	1.49519i	−0.664153	−	0.747596i	$-0.731208\pi$
$17$		−	6.16484i		−	1.49519i	0.664153	−	0.747596i	$-0.268792\pi$
$18$	−0.664568	+	1.18996i	−0.156640	+	0.280475i
$19$	1.97775	−	0.952434i	0.453727	−	0.218503i	−0.193040	−	0.981191i	$-0.561835\pi$
$19$	1.97775	−	0.952434i	0.453727	−	0.218503i	0.646767	+	0.762687i	$0.276121\pi$
$20$	−1.79793	+	2.80586i	−0.402030	+	0.627410i
$21$	0.711434	+	0.892109i	0.155248	+	0.194674i
$22$	1.01888	+	0.298432i	0.217226	+	0.0636259i
$23$	−0.962107	+	4.21527i	−0.200613	+	0.878944i	0.769951	+	0.638103i	$0.220280\pi$
$23$	−0.962107	+	4.21527i	−0.200613	+	0.878944i	−0.970565	+	0.240841i	$0.922577\pi$
$24$	2.64917	+	3.04497i	0.540760	+	0.621552i
$25$	−2.00343	+	0.964802i	−0.400686	+	0.192960i
$26$	2.65166	−	9.05308i	0.520034	−	1.77545i
$27$	−1.25861	−	5.51435i	−0.242220	−	1.06124i
$28$	−1.51414	+	0.514800i	−0.286146	+	0.0972881i
$29$	−2.43668	−	4.80235i	−0.452479	−	0.891775i
$29$	−2.43668	−	4.80235i	−0.452479	−	0.891775i
$30$	−0.548547	−	3.31750i	−0.100150	−	0.605689i
$31$	−7.61340	+	1.73771i	−1.36741	+	0.312102i	−0.842334	−	0.538955i	$-0.818819\pi$
$31$	−7.61340	+	1.73771i	−1.36741	+	0.312102i	−0.525073	+	0.851057i	$0.675962\pi$
$32$	−5.27294	+	2.04843i	−0.932134	+	0.362115i
$33$	−0.965176	+	0.464804i	−0.168016	+	0.0809120i
$34$	−8.06946	+	3.30065i	−1.38390	+	0.566057i
$35$	1.29897	+	0.296482i	0.219567	+	0.0501146i
$36$	1.91340	+	0.232784i	0.318900	+	0.0387974i
$37$	0.414430	+	0.519679i	0.0681319	+	0.0854347i	0.814730	−	0.579841i	$-0.196885\pi$
$37$	0.414430	+	0.519679i	0.0681319	+	0.0854347i	−0.746598	+	0.665276i	$0.768314\pi$
$38$	−2.30557	−	2.07884i	−0.374013	−	0.337233i
$39$	4.12993	+	8.57589i	0.661318	+	1.37324i
$40$	4.63534	+	0.851145i	0.732912	+	0.134578i
$41$		−	0.363765i		−	0.0568106i	−0.999596	−	0.0284053i	$-0.990957\pi$
$41$		−	0.363765i		−	0.0568106i	0.999596	−	0.0284053i	$-0.00904290\pi$
$42$	0.786825	−	1.40886i	0.121410	−	0.217393i
$43$	−1.89388	+	8.29765i	−0.288815	+	1.26538i	0.597339	+	0.801989i	$0.296225\pi$
$43$	−1.89388	+	8.29765i	−0.288815	+	1.26538i	−0.886154	+	0.463391i	$0.846632\pi$
$44$	−0.154876	−	1.49344i	−0.0233484	−	0.225145i
$45$	−1.25550	−	1.00123i	−0.187159	−	0.149254i
$46$	6.03268	−	0.997501i	0.889470	−	0.147073i
$47$	3.94894	+	3.14918i	0.576012	+	0.459354i	0.867651	−	0.497174i	$-0.165629\pi$
$47$	3.94894	+	3.14918i	0.576012	+	0.459354i	−0.291638	+	0.956529i	$0.594200\pi$
$48$	2.56735	−	5.09791i	0.370565	−	0.735820i
$49$	−3.96576	−	4.97291i	−0.566538	−	0.710416i
$50$	2.33551	+	2.10584i	0.330291	+	0.297810i
$51$	3.81689	−	7.92586i	0.534472	−	1.10984i
$52$	−13.2697	+	1.37612i	−1.84018	+	0.190833i
$53$	0.146991	−	0.0335498i	0.0201908	−	0.00460842i	−0.212414	−	0.977180i	$-0.568132\pi$
$53$	0.146991	−	0.0335498i	0.0201908	−	0.00460842i	0.232604	+	0.972571i	$0.425275\pi$
$54$	−6.54414	+	4.59984i	−0.890545	+	0.625959i
$55$	−0.542741	+	1.12701i	−0.0731832	+	0.151966i
$56$	1.48452	+	1.70631i	0.198377	+	0.228015i
$57$	3.13240			0.414896
$58$	−4.98144	+	5.76066i	−0.654095	+	0.756412i
$59$			4.94095i			0.643257i	0.946866	+	0.321629i	$0.104230\pi$
$59$			4.94095i			0.643257i	−0.946866	+	0.321629i	$0.895770\pi$
$60$	−4.04874	+	2.49421i	−0.522691	+	0.322001i
$61$	1.37808	+	0.663650i	0.176445	+	0.0849716i	0.520021	−	0.854153i	$-0.325924\pi$
$61$	1.37808	+	0.663650i	0.176445	+	0.0849716i	−0.343576	+	0.939125i	$0.611638\pi$
$62$	6.35078	+	9.03519i	0.806550	+	1.14747i
$63$	−0.171485	−	0.751326i	−0.0216051	−	0.0946582i
$64$	5.50442	+	5.80529i	0.688053	+	0.725661i
$65$	10.0139	+	4.82243i	1.24207	+	0.598148i
$66$	1.12516	+	1.01451i	0.138498	+	0.124878i
$67$	−6.17885	+	4.92747i	−0.754867	+	0.601986i	−0.923458	−	0.383700i	$-0.874650\pi$
$67$	−6.17885	+	4.92747i	−0.754867	+	0.601986i	0.168591	+	0.985686i	$0.446078\pi$
$68$	8.64076	+	8.79535i	1.04785	+	1.06659i
$69$	−3.84678	+	4.82370i	−0.463097	+	0.580706i
$70$	−0.307389	−	1.85903i	−0.0367400	−	0.222196i
$71$	−0.582680	+	0.730658i	−0.0691514	+	0.0867131i	−0.815204	−	0.579174i	$-0.803375\pi$
$71$	−0.582680	+	0.730658i	−0.0691514	+	0.0867131i	0.746053	+	0.665887i	$0.231947\pi$
$72$	−0.719730	−	2.62918i	−0.0848210	−	0.309851i
$73$	−12.1800	−	2.78001i	−1.42556	−	0.325376i	−0.560966	−	0.827839i	$-0.689570\pi$
$73$	−12.1800	−	2.78001i	−1.42556	−	0.325376i	−0.864599	+	0.502463i	$0.832427\pi$
$74$	0.458348	−	0.820704i	0.0532819	−	0.0954049i
$75$	−3.17307			−0.366395
$76$	−1.48670	+	4.13089i	−0.170536	+	0.473845i
$77$	−0.540855	+	0.260462i	−0.0616362	+	0.0296824i
$78$	9.01424	−	9.99740i	1.02066	−	1.13198i
$79$	−8.96435	+	7.14883i	−1.00857	+	0.804306i	−0.980742	−	0.195307i	$-0.937430\pi$
$79$	−8.96435	+	7.14883i	−1.00857	+	0.804306i	−0.0278255	+	0.999613i	$0.508858\pi$
$80$	−1.36765	−	6.52313i	−0.152908	−	0.729308i
$81$	1.15264	−	5.05004i	0.128071	−	0.561116i
$82$	−0.476150	+	0.194760i	−0.0525820	+	0.0215076i
$83$	−2.44710	−	5.08146i	−0.268604	−	0.557763i	0.722418	−	0.691456i	$-0.243031\pi$
$83$	−2.44710	−	5.08146i	−0.268604	−	0.557763i	−0.991023	+	0.133693i	$0.957316\pi$
$84$	−2.26540	−	0.275609i	−0.247175	−	0.0300714i
$85$	−2.28576	−	10.0146i	−0.247925	−	1.08623i
$86$	11.8752	−	1.96356i	1.28053	−	0.211736i
$87$	−0.159401	−	7.68282i	−0.0170896	−	0.823685i
$88$	−1.87192	+	1.00231i	−0.199547	+	0.106847i
$89$	6.33989	−	1.44704i	0.672027	−	0.153386i	0.127127	−	0.991886i	$-0.459425\pi$
$89$	6.33989	−	1.44704i	0.672027	−	0.153386i	0.544901	+	0.838501i	$0.316567\pi$
$90$	−0.638363	+	2.17944i	−0.0672894	+	0.229734i
$91$	2.31429	+	4.80567i	0.242603	+	0.503771i
$92$	−4.53557	−	7.36241i	−0.472866	−	0.767584i
$93$	−10.8641	−	2.47966i	−1.12655	−	0.257129i
$94$	2.00785	−	6.85503i	0.207094	−	0.707042i
$95$	2.85965	−	2.28049i	0.293394	−	0.233974i
$96$	−8.04746	−	0.631111i	−0.821340	−	0.0644125i
$97$	−2.10914	−	4.37967i	−0.214150	−	0.444688i	0.766027	−	0.642808i	$-0.222231\pi$
$97$	−2.10914	−	4.37967i	−0.214150	−	0.444688i	−0.980178	+	0.198120i	$0.936516\pi$
$98$	−4.38602	+	7.85347i	−0.443055	+	0.793321i
$99$	0.723516			0.0727160
$100$	1.50600	−	4.18453i	0.150600	−	0.418453i
$101$	1.36954	−	6.00034i	0.136274	−	0.597056i	−0.859961	−	0.510360i	$-0.829512\pi$
$101$	1.36954	−	6.00034i	0.136274	−	0.597056i	0.996235	−	0.0866957i	$-0.0276308\pi$
$102$	−12.4181	−	0.752620i	−1.22958	−	0.0745205i
$103$	11.8109	−	14.8104i	1.16376	−	1.45931i	0.301059	−	0.953606i	$-0.402660\pi$
$103$	11.8109	−	14.8104i	1.16376	−	1.45931i	0.862705	−	0.505708i	$-0.168769\pi$
$104$	8.90586	+	16.6326i	0.873292	+	1.63096i
$105$	1.48647	+	1.18542i	0.145065	+	0.115685i
$106$	−0.122614	−	0.174441i	−0.0119093	−	0.0169432i
$107$	−6.11760	+	4.87862i	−0.591410	+	0.471634i	−0.872879	−	0.487936i	$-0.837750\pi$
$107$	−6.11760	+	4.87862i	−0.591410	+	0.471634i	0.281469	+	0.959570i	$0.409178\pi$
$108$	9.52469	+	6.10320i	0.916513	+	0.587280i
$109$	0.770972	−	1.60094i	0.0738457	−	0.153342i	−0.860778	−	0.508981i	$-0.830022\pi$
$109$	0.770972	−	1.60094i	0.0738457	−	0.153342i	0.934624	+	0.355639i	$0.115737\pi$
$110$	1.76579	+	0.107018i	0.168361	+	0.0102038i
$111$	0.211061	+	0.924719i	0.0200330	+	0.0877704i
$112$	1.43866	−	2.85671i	0.135941	−	0.269934i
$113$	7.65732	−	15.9006i	0.720340	−	1.49580i	−0.142214	−	0.989836i	$-0.545422\pi$
$113$	7.65732	−	15.9006i	0.720340	−	1.49580i	0.862554	−	0.505966i	$-0.168864\pi$
$114$	−1.67708	−	4.10015i	−0.157073	−	0.384014i
$115$			7.20427i			0.671802i
$116$	10.2075	+	3.43620i	0.947740	+	0.319043i
$117$		−	6.42866i		−	0.594330i
$118$	6.46745	−	2.64538i	0.595377	−	0.243527i
$119$	2.13887	−	4.44142i	0.196070	−	0.407144i
$120$	5.43248	+	3.96420i	0.495915	+	0.361881i
$121$	2.32232	+	10.1747i	0.211120	+	0.924977i
$122$	0.130859	−	2.15916i	0.0118474	−	0.195481i
$123$	0.225221	−	0.467677i	0.0203075	−	0.0421690i
$124$	8.42640	−	13.1503i	0.756713	−	1.18093i
$125$	−9.41038	+	7.50453i	−0.841690	+	0.671225i
$126$	−0.891635	+	0.626725i	−0.0794332	+	0.0558331i
$127$	4.47530	+	3.56893i	0.397119	+	0.316692i	0.801607	−	0.597852i	$-0.203979\pi$
$127$	4.47530	+	3.56893i	0.397119	+	0.316692i	−0.404488	+	0.914543i	$0.632550\pi$
$128$	4.65176	−	10.3132i	0.411162	−	0.911562i
$129$	−7.57229	+	9.49535i	−0.666703	+	0.836019i
$130$	0.950892	−	15.6896i	0.0833987	−	1.37607i
$131$	3.75679	−	16.4596i	0.328233	−	1.43808i	−0.494264	−	0.869312i	$-0.664563\pi$
$131$	3.75679	−	16.4596i	0.328233	−	1.43808i	0.822497	−	0.568769i	$-0.192580\pi$
$132$	0.725533	−	2.01594i	0.0631495	−	0.175465i
$133$	1.75530			0.152204
$134$	9.75796	+	5.44964i	0.842959	+	0.470777i
$135$	−4.08915	−	8.49121i	−0.351938	−	0.730807i
$136$	6.88640	−	16.0193i	0.590504	−	1.37365i
$137$	2.32510	−	1.85421i	0.198647	−	0.158416i	−0.519115	−	0.854705i	$-0.673738\pi$
$137$	2.32510	−	1.85421i	0.198647	−	0.158416i	0.717762	+	0.696289i	$0.245167\pi$
$138$	8.37354	+	2.45263i	0.712803	+	0.208781i
$139$	−7.42624	−	1.69499i	−0.629886	−	0.143767i	−0.104352	−	0.994540i	$-0.533277\pi$
$139$	−7.42624	−	1.69499i	−0.629886	−	0.143767i	−0.525533	+	0.850773i	$0.676134\pi$
$140$	−2.26879	+	1.39768i	−0.191748	+	0.118125i
$141$	3.12720	+	6.49370i	0.263358	+	0.546868i
$142$	1.26836	+	0.371505i	0.106438	+	0.0311760i
$143$	−4.88212	+	1.11431i	−0.408263	+	0.0931835i
$144$	−3.05611	+	2.34975i	−0.254676	+	0.195812i
$145$	−5.73888	−	6.89780i	−0.476588	−	0.572831i
$146$	2.88228	+	17.4315i	0.238539	+	1.44264i
$147$	−2.01968	−	8.84881i	−0.166581	−	0.729838i
$148$	−1.31966	−	0.160550i	−0.108475	−	0.0131971i
$149$	7.28964	+	15.1371i	0.597191	+	1.24008i	0.952274	+	0.305244i	$0.0987381\pi$
$149$	7.28964	+	15.1371i	0.597191	+	1.24008i	−0.355084	+	0.934835i	$0.615548\pi$
$150$	1.69886	+	4.15339i	0.138711	+	0.339123i
$151$	0.699757	−	3.06584i	0.0569454	−	0.249494i	−0.938441	−	0.345439i	$-0.887730\pi$
$151$	0.699757	−	3.06584i	0.0569454	−	0.249494i	0.995387	+	0.0959447i	$0.0305872\pi$
$152$	6.20310	−	0.265666i	0.503138	−	0.0215483i
$153$	−4.64517	+	3.70440i	−0.375539	+	0.299483i
$154$	0.630505	+	0.568501i	0.0508076	+	0.0458111i
$155$	−11.7234	+	5.64569i	−0.941646	+	0.453473i
$156$	−17.9123	−	6.44659i	−1.43413	−	0.516140i
$157$	12.0216			0.959429			0.479715	−	0.877425i	$-0.340740\pi$
$157$	12.0216			0.959429			0.479715	+	0.877425i	$0.340740\pi$
$158$	14.1570	+	7.90640i	1.12627	+	0.628999i
$159$	0.209752	+	0.0478745i	0.0166344	+	0.00379670i
$160$	−7.80621	+	5.28267i	−0.617135	+	0.417632i
$161$	−2.15562	+	2.70306i	−0.169886	+	0.213031i
$162$	−7.22737	+	1.19504i	−0.567836	+	0.0938914i
$163$	10.5724	−	13.2573i	0.828091	−	1.03839i	−0.170502	−	0.985357i	$-0.554539\pi$
$163$	10.5724	−	13.2573i	0.828091	−	1.03839i	0.998593	−	0.0530354i	$-0.0168896\pi$
$164$	0.509861	+	0.518982i	0.0398134	+	0.0405257i
$165$	−1.39556	+	1.11292i	−0.108644	+	0.0866407i
$166$	−5.34120	+	5.92374i	−0.414557	+	0.459772i
$167$	−14.9702	−	7.20925i	−1.15843	−	0.557868i	−0.246871	−	0.969048i	$-0.579402\pi$
$167$	−14.9702	−	7.20925i	−1.15843	−	0.557868i	−0.911554	+	0.411180i	$0.865117\pi$
$168$	0.852135	+	3.11285i	0.0657436	+	0.240162i
$169$	7.00824	+	30.7051i	0.539096	+	2.36193i
$170$	−11.8848	+	8.35373i	−0.911519	+	0.640702i
$171$	−1.90607	−	0.917913i	−0.145760	−	0.0701945i
$172$	−8.92816	−	14.4927i	−0.680766	−	1.10506i
$173$			10.3318i			0.785510i	0.919643	+	0.392755i	$0.128478\pi$
$173$			10.3318i			0.785510i	−0.919643	+	0.392755i	$0.871522\pi$
$174$	−9.97108	+	4.32202i	−0.755905	+	0.327652i
$175$	−1.77809			−0.134411
$176$	2.31420	+	1.91361i	0.174439	+	0.144244i
$177$	−3.05914	+	6.35237i	−0.229939	+	0.477473i
$178$	−5.28847	−	7.52385i	−0.396388	−	0.563937i
$179$	10.5996	−	2.41928i	0.792249	−	0.180826i	0.192799	−	0.981238i	$-0.438243\pi$
$179$	10.5996	−	2.41928i	0.792249	−	0.180826i	0.599450	+	0.800413i	$0.295386\pi$
$180$	3.19456	−	0.331288i	0.238109	−	0.0246927i
$181$	−5.33659	+	11.0815i	−0.396666	+	0.823684i	0.602998	+	0.797743i	$0.293973\pi$
$181$	−5.33659	+	11.0815i	−0.396666	+	0.823684i	−0.999663	+	0.0259417i	$0.991742\pi$
$182$	5.05131	−	5.60224i	0.374428	−	0.415266i
$183$	1.36085	+	1.70645i	0.100597	+	0.126144i
$184$	−7.20868	+	9.87866i	−0.531431	+	0.728264i
$185$	0.865911	+	0.690541i	0.0636630	+	0.0507696i
$186$	2.57088	+	15.5482i	0.188506	+	1.14005i
$187$	3.61840	+	2.88558i	0.264604	+	0.211014i
$188$	−10.0479	+	1.04200i	−0.732817	+	0.0759959i
$189$	1.00643	−	4.40945i	0.0732068	−	0.320740i
$190$	−4.51610	−	2.52216i	−0.327632	−	0.182977i
$191$		−	12.3924i		−	0.896685i	−0.893862	−	0.448342i	$-0.852015\pi$
$191$		−	12.3924i		−	0.896685i	0.893862	−	0.448342i	$-0.147985\pi$
$192$	3.48251	+	10.8716i	0.251329	+	0.784591i
$193$	5.48438	+	11.3884i	0.394774	+	0.819758i	0.999724	+	0.0234938i	$0.00747900\pi$
$193$	5.48438	+	11.3884i	0.394774	+	0.819758i	−0.604950	+	0.796264i	$0.706807\pi$
$194$	−4.60353	+	5.10562i	−0.330514	+	0.366562i
$195$	9.88864	+	12.4000i	0.708140	+	0.887980i
$196$	12.6281	+	1.53633i	0.902005	+	0.109738i
$197$	−9.36963	−	2.13856i	−0.667559	−	0.152366i	−0.124706	−	0.992194i	$-0.539799\pi$
$197$	−9.36963	−	2.13856i	−0.667559	−	0.152366i	−0.542853	+	0.839828i	$0.682656\pi$
$198$	−0.387370	−	0.947045i	−0.0275292	−	0.0673036i
$199$	2.43060	−	1.17051i	0.172301	−	0.0829756i	−0.345745	−	0.938328i	$-0.612374\pi$
$199$	2.43060	−	1.17051i	0.172301	−	0.0829756i	0.518046	+	0.855353i	$0.326660\pi$
$200$	−6.28365	+	0.269115i	−0.444321	+	0.0190293i
$201$	−10.9947	+	2.50946i	−0.775504	+	0.177004i
$202$	−8.58739	+	1.41992i	−0.604206	+	0.0999053i
$203$	−0.0893238	−	4.30522i	−0.00626930	−	0.302167i
$204$	5.66351	+	16.6576i	0.396525	+	1.16627i
$205$	−0.134875	−	0.590924i	−0.00942004	−	0.0412719i
$206$	−25.7096	−	7.53040i	−1.79127	−	0.524668i
$207$	3.75430	−	1.80797i	0.260942	−	0.125663i
$208$	17.0030	−	20.5624i	1.17895	−	1.42575i
$209$	−0.366703	+	1.60663i	−0.0253654	+	0.111133i
$210$	0.755799	−	2.58038i	0.0521551	−	0.178063i
$211$	7.27860	+	9.12708i	0.501080	+	0.628334i	0.966473	−	0.256770i	$-0.0826583\pi$
$211$	7.27860	+	9.12708i	0.501080	+	0.628334i	−0.465393	+	0.885104i	$0.654087\pi$
$212$	−0.162688	+	0.253891i	−0.0111734	+	0.0174373i
$213$	−1.20151	+	0.578614i	−0.0823258	+	0.0396460i
$214$	9.66122	+	5.39561i	0.660428	+	0.368836i
$215$			14.1814i			0.967166i
$216$	2.88927	−	15.7350i	0.196590	−	1.07063i
$217$	−6.08792	−	1.38953i	−0.413275	−	0.0943272i
$218$	−2.50833	−	0.152021i	−0.169885	−	0.0102962i
$219$	−13.9381	−	11.1153i	−0.941851	−	0.751101i
$220$	−0.805319	−	2.36862i	−0.0542946	−	0.159692i
$221$	25.6393	−	32.1506i	1.72468	−	2.16268i
$222$	1.09741	−	0.771362i	0.0736532	−	0.0517704i
$223$	−8.36207	−	10.4857i	−0.559966	−	0.702175i	0.418586	−	0.908177i	$-0.362526\pi$
$223$	−8.36207	−	10.4857i	−0.559966	−	0.702175i	−0.978551	+	0.206002i	$0.933955\pi$
$224$	−4.50955	−	0.353655i	−0.301307	−	0.0236296i
$225$	1.93082	+	0.929832i	0.128721	+	0.0619888i
$226$	−24.9128	−	1.50988i	−1.65717	−	0.100436i
$227$	17.8460	−	4.07323i	1.18448	−	0.270350i	0.415483	−	0.909601i	$-0.363613\pi$
$227$	17.8460	−	4.07323i	1.18448	−	0.270350i	0.768998	+	0.639251i	$0.220755\pi$
$228$	−4.46898	+	4.39043i	−0.295965	+	0.290763i
$229$	9.90910	+	4.77197i	0.654812	+	0.315341i	0.731628	−	0.681704i	$-0.238761\pi$
$229$	9.90910	+	4.77197i	0.654812	+	0.315341i	−0.0768156	+	0.997045i	$0.524475\pi$
$230$	9.43003	−	3.85716i	0.621798	−	0.254334i
$231$	−0.856617			−0.0563612
$232$	−0.967261	−	15.2008i	−0.0635038	−	0.997982i
$233$	−5.20854			−0.341223			−0.170611	−	0.985338i	$-0.554574\pi$
$233$	−5.20854			−0.341223			−0.170611	+	0.985338i	$0.554574\pi$
$234$	−8.41479	+	3.44190i	−0.550092	+	0.225004i
$235$	7.58255	+	3.65156i	0.494631	+	0.238202i
$236$	−6.92534	−	7.04923i	−0.450801	−	0.458866i
$237$	−15.9512	+	3.64075i	−1.03614	+	0.236492i
$238$	−6.95874	−	0.421746i	−0.451068	−	0.0273377i
$239$	20.0672	+	9.66387i	1.29804	+	0.625104i	0.949963	−	0.312361i	$-0.101120\pi$
$239$	20.0672	+	9.66387i	1.29804	+	0.625104i	0.348078	+	0.937465i	$0.386834\pi$
$240$	2.28040	−	9.23327i	0.147199	−	0.596005i
$241$	18.1022	+	22.6994i	1.16606	+	1.46220i	0.860080	+	0.510159i	$0.170414\pi$
$241$	18.1022	+	22.6994i	1.16606	+	1.46220i	0.305983	+	0.952037i	$0.401015\pi$
$242$	12.0749	−	8.48735i	0.776201	−	0.545588i
$243$	−5.97110	+	7.48752i	−0.383046	+	0.480325i
$244$	−2.89629	+	0.984723i	−0.185416	+	0.0630404i
$245$	−8.28606	−	6.60791i	−0.529377	−	0.422164i
$246$	−0.732749	−	0.0444094i	−0.0467184	−	0.00283144i
$247$	14.2754	+	3.25827i	0.908323	+	0.207319i
$248$	−21.7245	−	3.98907i	−1.37951	−	0.253306i
$249$		−	8.04811i		−	0.510028i
$250$	14.8614	+	8.29979i	0.939914	+	0.524925i
$251$	−2.25848	+	1.08763i	−0.142554	+	0.0686504i	−0.503801	−	0.863820i	$-0.668065\pi$
$251$	−2.25848	+	1.08763i	−0.142554	+	0.0686504i	0.361247	+	0.932470i	$0.382351\pi$
$252$	1.29773	+	0.831557i	0.0817494	+	0.0523831i
$253$	−2.02378	−	2.53774i	−0.127234	−	0.159546i
$254$	2.27548	−	7.76875i	0.142776	−	0.487454i
$255$	3.26171	−	14.2905i	0.204256	−	0.894905i
$256$	−15.9899	−	0.567268i	−0.999371	−	0.0354542i
$257$	16.4578	−	7.92567i	1.02661	−	0.494390i	0.156725	−	0.987642i	$-0.449906\pi$
$257$	16.4578	−	7.92567i	1.02661	−	0.494390i	0.869886	+	0.493252i	$0.164192\pi$
$258$	16.4831	+	4.82794i	1.02619	+	0.300574i
$259$	0.118272	+	0.518185i	0.00734908	+	0.0321984i
$260$	−21.0460	+	7.15551i	−1.30521	+	0.443766i
$261$	−2.15437	+	4.72171i	−0.133352	+	0.292267i
$262$	−23.5562	+	3.89500i	−1.45530	+	0.240634i
$263$	−21.7625	+	4.96715i	−1.34193	+	0.306288i	−0.832406	−	0.554167i	$-0.813037\pi$
$263$	−21.7625	+	4.96715i	−1.34193	+	0.306288i	−0.509528	+	0.860454i	$0.670180\pi$
$264$	−3.02722	+	0.129649i	−0.186312	+	0.00797937i
$265$	0.226343	−	0.109001i	0.0139041	−	0.00669587i
$266$	−0.939787	−	2.29760i	−0.0576220	−	0.140875i
$267$	9.04684	+	2.06488i	0.553658	+	0.126369i
$268$	1.90890	−	15.6904i	0.116604	−	0.958444i
$269$	4.70596	+	5.90109i	0.286928	+	0.359796i	0.904317	−	0.426862i	$-0.140381\pi$
$269$	4.70596	+	5.90109i	0.286928	+	0.359796i	−0.617389	+	0.786658i	$0.711810\pi$
$270$	−8.92523	+	9.89867i	−0.543172	+	0.602414i
$271$	−10.3218	−	21.4334i	−0.627004	−	1.30199i	−0.936360	−	0.351041i	$-0.885828\pi$
$271$	−10.3218	−	21.4334i	−0.627004	−	1.30199i	0.309356	−	0.950946i	$-0.399887\pi$
$272$	−24.6555	−	0.437208i	−1.49496	−	0.0265096i
$273$			7.61131i			0.460657i
$274$	−3.67192	−	2.05070i	−0.221829	−	0.123887i
$275$	0.371465	−	1.62749i	0.0224002	−	0.0981415i
$276$	−1.27283	−	12.2737i	−0.0766151	−	0.738789i
$277$	−1.63145	−	1.30104i	−0.0980243	−	0.0781718i	0.573251	−	0.819380i	$-0.305682\pi$
$277$	−1.63145	−	1.30104i	−0.0980243	−	0.0781718i	−0.671276	+	0.741208i	$0.734253\pi$
$278$	1.75735	+	10.6281i	0.105399	+	0.637429i
$279$	5.88418	+	4.69247i	0.352276	+	0.280931i
$280$	3.04420	+	2.22142i	0.181926	+	0.132755i
$281$	7.36068	+	9.23000i	0.439101	+	0.550615i	0.951306	−	0.308248i	$-0.0997426\pi$
$281$	7.36068	+	9.23000i	0.439101	+	0.550615i	−0.512205	+	0.858863i	$0.671171\pi$
$282$	6.82562	−	7.57007i	0.406460	−	0.450791i
$283$	−11.2758	+	23.4144i	−0.670275	+	1.39184i	0.237086	+	0.971489i	$0.423808\pi$
$283$	−11.2758	+	23.4144i	−0.670275	+	1.39184i	−0.907361	+	0.420352i	$0.861907\pi$
$284$	−0.192798	−	1.85912i	−0.0114404	−	0.110319i
$285$	5.08847	−	1.16141i	0.301415	−	0.0687960i
$286$	4.07246	+	5.79385i	0.240810	+	0.342597i
$287$	0.126207	−	0.262072i	0.00744978	−	0.0154696i
$288$	4.71194	+	2.74225i	0.277654	+	0.161588i
$289$	−21.0052			−1.23560
$290$	−5.95628	+	11.2050i	−0.349765	+	0.657979i
$291$		−	6.93660i		−	0.406631i
$292$	21.2737	−	13.1055i	1.24495	−	0.766944i
$293$	4.61374	+	2.22186i	0.269537	+	0.129802i	0.563771	−	0.825931i	$-0.309350\pi$
$293$	4.61374	+	2.22186i	0.269537	+	0.129802i	−0.294234	+	0.955734i	$0.595064\pi$
$294$	−10.5013	+	7.38131i	−0.612449	+	0.430487i
$295$	1.83197	+	8.02640i	0.106662	+	0.467315i
$296$	0.496393	+	1.81332i	0.0288522	+	0.105397i
$297$	3.82572	+	1.84237i	0.221991	+	0.106905i
$298$	15.9108	−	17.6462i	0.921689	−	1.02221i
$299$	−22.5486	+	17.9819i	−1.30402	+	1.03992i
$300$	4.52701	−	4.44744i	0.261367	−	0.256773i
$301$	−4.24328	+	5.32091i	−0.244579	+	0.306692i
$302$	−4.38767	+	0.725500i	−0.252482	+	0.0417478i
$303$	5.47580	−	6.86644i	0.314577	−	0.394467i
$304$	−3.66888	−	7.97730i	−0.210425	−	0.457530i
$305$	2.48471	+	0.567119i	0.142274	+	0.0324731i
$306$	7.33588	+	4.09695i	0.419365	+	0.234207i
$307$	28.9260			1.65090			0.825448	−	0.564478i	$-0.190923\pi$
$307$	28.9260			1.65090			0.825448	+	0.564478i	$0.190923\pi$
$308$	0.406567	−	1.12967i	0.0231663	−	0.0643692i
$309$	24.3545	−	11.7285i	1.38548	−	0.667211i
$310$	13.6666	+	12.3226i	0.776212	+	0.699879i
$311$	−26.2150	+	20.9058i	−1.48652	+	1.18546i	−0.549836	+	0.835273i	$0.685310\pi$
$311$	−26.2150	+	20.9058i	−1.48652	+	1.18546i	−0.936681	+	0.350185i	$0.886119\pi$
$312$	1.15198	+	26.8978i	0.0652178	+	1.52279i
$313$	5.16596	−	22.6335i	0.291997	−	1.27932i	−0.589744	−	0.807590i	$-0.700772\pi$
$313$	5.16596	−	22.6335i	0.291997	−	1.27932i	0.881742	−	0.471733i	$-0.156371\pi$
$314$	−6.43636	−	15.7357i	−0.363225	−	0.888016i
$315$	−0.557144	−	1.15692i	−0.0313915	−	0.0651851i
$316$	2.76945	−	22.7638i	0.155794	−	1.28056i
$317$	−3.23439	−	14.1708i	−0.181661	−	0.795911i	−0.980840	−	0.194817i	$-0.937589\pi$
$317$	−3.23439	−	14.1708i	−0.181661	−	0.795911i	0.799178	−	0.601094i	$-0.205268\pi$
$318$	−0.0496358	−	0.300187i	−0.00278344	−	0.0168336i
$319$	3.95924	+	0.817652i	0.221675	+	0.0457797i
$320$	11.0942	+	7.38959i	0.620184	+	0.413091i
$321$	−10.8857	+	2.48458i	−0.607579	+	0.138676i
$322$	4.69228	+	1.37438i	0.261491	+	0.0765911i
$323$	−5.87160	−	12.1925i	−0.326705	−	0.678409i
$324$	5.43378	+	8.82044i	0.301877	+	0.490024i
$325$	−14.4608	−	3.30058i	−0.802140	−	0.183083i
$326$	−23.0136	−	6.74072i	−1.27460	−	0.373334i
$327$	1.98241	−	1.58092i	0.109628	−	0.0874250i
$328$	0.406342	−	0.945245i	0.0224365	−	0.0521924i
$329$	1.75239	+	3.63888i	0.0966124	+	0.200618i
$330$	2.20393	+	1.23086i	0.121323	+	0.0677564i
$331$	23.9991			1.31911			0.659554	−	0.751657i	$-0.270745\pi$
$331$	23.9991			1.31911			0.659554	+	0.751657i	$0.270745\pi$
$332$	10.6136	+	3.81979i	0.582494	+	0.209638i
$333$	0.142547	−	0.624541i	0.00781155	−	0.0342246i
$334$	−1.42153	+	23.4550i	−0.0777825	+	1.28340i
$335$	−8.21035	+	10.2955i	−0.448579	+	0.562501i
$336$	3.61833	−	2.78202i	0.197396	−	0.151772i
$337$	−8.91293	−	7.10782i	−0.485518	−	0.387188i	0.349914	−	0.936782i	$-0.386211\pi$
$337$	−8.91293	−	7.10782i	−0.485518	−	0.387188i	−0.835432	+	0.549594i	$0.814782\pi$
$338$	36.4392	−	25.6129i	1.98203	−	1.39316i
$339$	19.6894	−	15.7017i	1.06938	−	0.852802i
$340$	17.2977	+	11.0840i	0.938099	+	0.601112i
$341$	2.54367	−	5.28199i	0.137748	−	0.286036i
$342$	−0.180995	+	2.98639i	−0.00978710	+	0.161486i
$343$	−2.37731	−	10.4157i	−0.128363	−	0.562394i
$344$	−14.1901	+	19.4459i	−0.765080	+	1.04845i
$345$	−4.46045	+	9.26222i	−0.240143	+	0.498661i
$346$	13.5238	−	5.53162i	0.727042	−	0.297382i
$347$			25.5131i			1.36961i	0.728724	+	0.684807i	$0.240114\pi$
$347$			25.5131i			1.36961i	−0.728724	+	0.684807i	$0.759886\pi$
$348$	10.9958	+	10.7376i	0.589438	+	0.575597i
$349$			10.6657i			0.570922i	0.958390	+	0.285461i	$0.0921467\pi$
$349$			10.6657i			0.570922i	−0.958390	+	0.285461i	$0.907853\pi$
$350$	0.951990	+	2.32743i	0.0508860	+	0.124407i
$351$	16.3700	−	33.9927i	0.873768	−	1.81440i
$352$	1.26580	−	4.05372i	0.0674673	−	0.216064i
$353$	−5.57629	−	24.4313i	−0.296796	−	1.30035i	−0.874868	−	0.484362i	$-0.839052\pi$
$353$	−5.57629	−	24.4313i	−0.296796	−	1.30035i	0.578071	−	0.815986i	$-0.303805\pi$
$354$	9.95278	+	0.603205i	0.528984	+	0.0320600i
$355$	−0.675635	+	1.40297i	−0.0358590	+	0.0744619i
$356$	−7.01690	+	10.9506i	−0.371895	+	0.580381i
$357$	5.49971	−	4.38587i	0.291076	−	0.232125i
$358$	−8.84172	−	12.5790i	−0.467299	−	0.664822i
$359$	−2.87421	−	2.29210i	−0.151695	−	0.120973i	0.544702	−	0.838630i	$-0.316643\pi$
$359$	−2.87421	−	2.29210i	−0.151695	−	0.120973i	−0.696396	+	0.717657i	$0.745214\pi$
$360$	−2.14400	−	4.00415i	−0.112999	−	0.211037i
$361$	−8.84194	+	11.0874i	−0.465365	+	0.583550i
$362$	17.3624	+	1.05228i	0.912546	+	0.0553064i
$363$	−3.31388	+	14.5191i	−0.173934	+	0.762053i
$364$	−10.0375	−	3.61247i	−0.526109	−	0.189345i
$365$	−20.8168			−1.08960
$366$	1.50506	−	2.69491i	0.0786707	−	0.140865i
$367$	13.4600	+	27.9500i	0.702606	+	1.45898i	0.880068	+	0.474848i	$0.157497\pi$
$367$	13.4600	+	27.9500i	0.702606	+	1.45898i	−0.177462	+	0.984128i	$0.556789\pi$
$368$	16.7902	+	4.14677i	0.875249	+	0.216165i
$369$	−0.274095	+	0.218583i	−0.0142688	+	0.0113790i
$370$	0.440275	−	1.50315i	0.0228888	−	0.0781449i
$371$	0.117539	+	0.0268275i	0.00610231	+	0.00139281i
$372$	18.9753	−	11.6896i	0.983824	−	0.606079i
$373$	4.42818	+	9.19522i	0.229283	+	0.476110i	0.983592	−	0.180409i	$-0.0577422\pi$
$373$	4.42818	+	9.19522i	0.229283	+	0.476110i	−0.754309	+	0.656520i	$0.772028\pi$
$374$	1.83979	−	6.28124i	0.0951330	−	0.324795i
$375$	−16.7449	+	3.82191i	−0.864701	+	0.197362i
$376$	6.74356	+	12.5943i	0.347772	+	0.649501i
$377$	7.26510	−	35.1791i	0.374172	−	1.81181i
$378$	−6.31058	+	1.04345i	−0.324581	+	0.0536694i
$379$	−6.41798	−	28.1190i	−0.329669	−	1.44438i	−0.819761	−	0.572705i	$-0.805894\pi$
$379$	−6.41798	−	28.1190i	−0.329669	−	1.44438i	0.490092	−	0.871671i	$-0.336963\pi$
$380$	−0.883460	+	7.26171i	−0.0453206	+	0.372518i
$381$	3.54403	+	7.35926i	0.181566	+	0.377026i
$382$	−16.2211	+	6.63490i	−0.829941	+	0.339471i
$383$	−0.394773	+	1.72961i	−0.0201720	+	0.0883792i	−0.984012	−	0.178103i	$-0.943004\pi$
$383$	−0.394773	+	1.72961i	−0.0201720	+	0.0883792i	0.963840	+	0.266482i	$0.0858612\pi$
$384$	12.3658	−	10.3791i	0.631042	−	0.529655i
$385$	−0.782028	+	0.623647i	−0.0398558	+	0.0317840i
$386$	11.9706	−	13.2761i	0.609285	−	0.675738i
$387$	7.39024	−	3.55895i	0.375667	−	0.180912i
$388$	9.14773	+	3.29224i	0.464406	+	0.167138i
$389$	−7.98837			−0.405027			−0.202513	−	0.979280i	$-0.564911\pi$
$389$	−7.98837			−0.405027			−0.202513	+	0.979280i	$0.564911\pi$
$390$	10.9366	−	19.5827i	0.553794	−	0.991606i
$391$	25.9864	+	5.93123i	1.31419	+	0.299955i
$392$	−4.75008	−	17.3520i	−0.239915	−	0.876411i
$393$	15.0207	−	18.8354i	0.757695	−	0.950120i
$394$	2.21723	+	13.4094i	0.111702	+	0.675554i
$395$	−11.9117	+	14.9368i	−0.599341	+	0.751550i
$396$	−1.03224	+	1.01409i	−0.0518718	+	0.0509602i
$397$	−3.00052	+	2.39284i	−0.150592	+	0.120093i	−0.695888	−	0.718151i	$-0.744989\pi$
$397$	−3.00052	+	2.39284i	−0.150592	+	0.120093i	0.545296	+	0.838244i	$0.316417\pi$
$398$	−2.83348	−	2.55484i	−0.142030	−	0.128062i
$399$	2.25671	+	1.08678i	0.112977	+	0.0544068i
$400$	3.71652	+	8.08089i	0.185826	+	0.404045i
$401$	1.79469	+	7.86305i	0.0896226	+	0.392662i	0.999766	−	0.0216311i	$-0.00688593\pi$
$401$	1.79469	+	7.86305i	0.0896226	+	0.392662i	−0.910143	+	0.414293i	$0.864029\pi$
$402$	9.17129	+	13.0479i	0.457423	+	0.650770i
$403$	−46.9321	−	22.6013i	−2.33786	−	1.12585i
$404$	6.45628	+	10.4802i	0.321212	+	0.521411i
$405$		−	8.63099i		−	0.428877i
$406$	−5.58749	+	2.42193i	−0.277303	+	0.120198i
$407$	−0.499004			−0.0247347
$408$	18.7718	−	16.3317i	0.929340	−	0.808541i
$409$	9.05184	−	18.7963i	0.447585	−	0.929419i	−0.548082	−	0.836425i	$-0.684642\pi$
$409$	9.05184	−	18.7963i	0.447585	−	0.929419i	0.995667	−	0.0929946i	$-0.0296439\pi$
$410$	−0.701277	+	0.492924i	−0.0346336	+	0.0243438i
$411$	4.13730	−	0.944311i	0.204078	−	0.0465794i
$412$	3.90801	+	37.6844i	0.192534	+	1.85658i
$413$	−1.71425	+	3.55967i	−0.0843527	+	0.175160i
$414$	−4.37659	−	3.94619i	−0.215098	−	0.193945i
$415$	−5.85930	−	7.34733i	−0.287622	−	0.360666i
$416$	−36.0186	−	11.2470i	−1.76596	−	0.551431i
$417$	−8.49816	−	6.77706i	−0.416157	−	0.331874i
$418$	2.29933	−	0.380193i	0.112464	−	0.0185958i
$419$	−22.8028	−	18.1846i	−1.11399	−	0.888376i	−0.119460	−	0.992839i	$-0.538116\pi$
$419$	−22.8028	−	18.1846i	−1.11399	−	0.888376i	−0.994529	+	0.104463i	$0.966688\pi$
$420$	−3.78225	+	0.392233i	−0.184555	+	0.0191390i
$421$	−6.11319	+	26.7836i	−0.297939	+	1.30535i	0.575252	+	0.817976i	$0.304904\pi$
$421$	−6.11319	+	26.7836i	−0.297939	+	1.30535i	−0.873191	+	0.487379i	$0.837953\pi$
$422$	8.04993	−	14.4140i	0.391864	−	0.701660i
$423$		−	4.86781i		−	0.236681i
$424$	0.419433	+	0.0770166i	0.0203695	+	0.00374026i
$425$	5.94785	+	12.3508i	0.288513	+	0.599104i
$426$	1.40066	+	1.26292i	0.0678623	+	0.0611886i
$427$	0.762579	+	0.956244i	0.0369038	+	0.0462759i
$428$	1.88997	−	15.5349i	0.0913553	−	0.750906i
$429$	−6.96664	−	1.59009i	−0.336353	−	0.0767703i
$430$	18.5628	−	7.59273i	0.895177	−	0.366154i
$431$	−33.1527	+	15.9655i	−1.59691	+	0.769031i	−0.999459	−	0.0328760i	$-0.989533\pi$
$431$	−33.1527	+	15.9655i	−1.59691	+	0.769031i	−0.597449	+	0.801907i	$0.703819\pi$
$432$	−22.1432	+	4.64259i	−1.06536	+	0.223367i
$433$	17.4776	−	3.98916i	0.839922	−	0.191707i	0.219143	−	0.975693i	$-0.429674\pi$
$433$	17.4776	−	3.98916i	0.839922	−	0.191707i	0.620779	+	0.783986i	$0.286817\pi$
$434$	1.44064	+	8.71272i	0.0691532	+	0.418224i
$435$	−3.10753	−	12.4214i	−0.148995	−	0.595559i
$436$	1.14397	+	3.36466i	0.0547861	+	0.161138i
$437$	2.11196	+	9.25309i	0.101029	+	0.442635i
$438$	−7.08687	+	24.1954i	−0.338624	+	1.15610i
$439$	−0.999098	+	0.481140i	−0.0476843	+	0.0229636i	−0.457574	−	0.889172i	$-0.651281\pi$
$439$	−0.999098	+	0.481140i	−0.0476843	+	0.0229636i	0.409890	+	0.912135i	$0.365567\pi$
$440$	−2.66924	+	2.32228i	−0.127251	+	0.110710i
$441$	−1.36406	+	5.97635i	−0.0649554	+	0.284588i
$442$	−55.8108	−	16.3471i	−2.65465	−	0.777551i
$443$	−21.3723	−	26.8000i	−1.01543	−	1.27331i	−0.961513	−	0.274760i	$-0.911402\pi$
$443$	−21.3723	−	26.8000i	−1.01543	−	1.27331i	−0.0539144	−	0.998546i	$-0.517170\pi$
$444$	−1.59722	−	1.02346i	−0.0758009	−	0.0485715i
$445$	9.76241	−	4.70133i	0.462782	−	0.222864i
$446$	−9.24821	+	16.5596i	−0.437915	+	0.784118i
$447$			23.9744i			1.13395i
$448$	1.95149	+	6.09212i	0.0921994	+	0.287826i
$449$	13.4666	+	3.07366i	0.635528	+	0.145055i	0.528134	−	0.849161i	$-0.322892\pi$
$449$	13.4666	+	3.07366i	0.635528	+	0.145055i	0.107395	+	0.994216i	$0.465749\pi$
$450$	0.183345	−	3.02517i	0.00864299	−	0.142608i
$451$	0.213509	+	0.170268i	0.0100537	+	0.00801759i
$452$	11.3619	+	33.4180i	0.534420	+	1.57185i
$453$	2.79783	−	3.50836i	0.131453	−	0.164837i
$454$	−14.8864	−	21.1787i	−0.698653	−	0.993966i
$455$	5.54130	+	6.94857i	0.259780	+	0.325754i
$456$	8.13954	+	3.49903i	0.381169	+	0.163857i
$457$	−34.6125	−	16.6685i	−1.61910	−	0.779719i	−0.619119	−	0.785297i	$-0.712510\pi$
$457$	−34.6125	−	16.6685i	−1.61910	−	0.779719i	−0.999984	+	0.00557833i	$0.998224\pi$
$458$	0.940943	−	15.5254i	0.0439674	−	0.725455i
$459$	−33.9951	+	7.75915i	−1.58675	+	0.362166i
$460$	−10.0977	−	10.2783i	−0.470806	−	0.479228i
$461$	7.82217	+	3.76696i	0.364315	+	0.175445i	0.607081	−	0.794640i	$-0.292340\pi$
$461$	7.82217	+	3.76696i	0.364315	+	0.175445i	−0.242766	+	0.970085i	$0.578055\pi$
$462$	0.458632	+	1.12127i	0.0213375	+	0.0521661i
$463$	38.7857			1.80252			0.901262	−	0.433274i	$-0.142642\pi$
$463$	38.7857			1.80252			0.901262	+	0.433274i	$0.142642\pi$
$464$	−19.3792	+	9.40459i	−0.899657	+	0.436597i
$465$	−18.5677			−0.861058
$466$	2.78865	+	6.81771i	0.129182	+	0.315824i
$467$	26.2398	+	12.6364i	1.21423	+	0.584743i	0.927699	−	0.373328i	$-0.121783\pi$
$467$	26.2398	+	12.6364i	1.21423	+	0.584743i	0.286532	+	0.958071i	$0.407498\pi$
$468$	9.01055	+	9.17175i	0.416513	+	0.423964i
$469$	−6.16108	+	1.40623i	−0.284492	+	0.0649335i
$470$	0.720019	−	11.8802i	0.0332120	−	0.547993i
$471$	15.4557	+	7.44306i	0.712159	+	0.342958i
$472$	−5.51927	+	12.8391i	−0.254045	+	0.590966i
$473$	−3.98376	−	4.99548i	−0.183174	−	0.229692i
$474$	13.3058	+	18.9300i	0.611156	+	0.869485i
$475$	−3.04338	+	3.81628i	−0.139640	+	0.175103i
$476$	3.17366	+	9.33443i	0.145464	+	0.427843i
$477$	−0.113605	−	0.0905971i	−0.00520162	−	0.00414816i
$478$	1.90553	−	31.4410i	0.0871571	−	1.43808i
$479$	13.7746	+	3.14397i	0.629379	+	0.143652i	0.525300	−	0.850917i	$-0.323953\pi$
$479$	13.7746	+	3.14397i	0.629379	+	0.143652i	0.104079	+	0.994569i	$0.466810\pi$
$480$	−13.3068	+	1.95857i	−0.607370	+	0.0893959i
$481$			4.43381i			0.202164i
$482$	20.0205	−	35.8480i	0.911907	−	1.63283i
$483$	−4.44495	+	2.14058i	−0.202252	+	0.0973996i
$484$	−17.5744	−	11.2613i	−0.798835	−	0.511875i
$485$	−5.05008	−	6.33260i	−0.229312	−	0.287549i
$486$	12.9977	+	3.80705i	0.589588	+	0.172691i
$487$	4.00785	−	17.5595i	0.181613	−	0.795699i	−0.799250	−	0.600999i	$-0.794770\pi$
$487$	4.00785	−	17.5595i	0.181613	−	0.795699i	0.980863	−	0.194700i	$-0.0623733\pi$
$488$	2.83962	+	3.26388i	0.128544	+	0.147749i
$489$	21.8005	−	10.4986i	0.985854	−	0.474762i
$490$	−4.21307	+	14.3839i	−0.190327	+	0.649799i
$491$	−4.98130	−	21.8245i	−0.224803	−	0.984925i	−0.953808	−	0.300417i	$-0.902874\pi$
$491$	−4.98130	−	21.8245i	−0.224803	−	0.984925i	0.729005	−	0.684508i	$-0.239983\pi$
$492$	0.334183	+	0.982908i	0.0150662	+	0.0443129i
$493$	−29.6057	+	15.0217i	−1.33338	+	0.676544i
$494$	−3.37813	−	20.4303i	−0.151989	−	0.919201i
$495$	1.17533	−	0.268260i	0.0528269	−	0.0120574i
$496$	6.40980	+	30.5721i	0.287809	+	1.37273i
$497$	−0.673287	+	0.324238i	−0.0302011	+	0.0145441i
$498$	−10.5346	+	4.30895i	−0.472065	+	0.193089i
$499$	9.34928	+	2.13391i	0.418531	+	0.0955270i	0.426600	−	0.904440i	$-0.359711\pi$
$499$	9.34928	+	2.13391i	0.418531	+	0.0955270i	−0.00806881	+	0.999967i	$0.502568\pi$
$500$	2.90725	−	23.8965i	0.130016	−	1.06868i
$501$	−14.7829	−	18.5372i	−0.660453	−	0.828182i
$502$	2.63284	+	2.37392i	0.117509	+	0.105953i
$503$	−2.14702	−	4.45834i	−0.0957310	−	0.198787i	0.847604	−	0.530629i	$-0.178044\pi$
$503$	−2.14702	−	4.45834i	−0.0957310	−	0.198787i	−0.943335	+	0.331842i	$0.892330\pi$
$504$	0.393661	−	2.14388i	0.0175350	−	0.0954960i
$505$		−	10.2551i		−	0.456347i
$506$	−2.23824	+	4.00773i	−0.0995020	+	0.178165i
$507$	−10.0006	+	43.8153i	−0.444140	+	1.94591i
$508$	−11.3872	+	1.18089i	−0.505224	+	0.0523936i
$509$	13.4762	+	10.7469i	0.597321	+	0.476347i	0.874866	−	0.484365i	$-0.160949\pi$
$509$	13.4762	+	10.7469i	0.597321	+	0.476347i	−0.277545	+	0.960713i	$0.589521\pi$
$510$	−20.4518	+	3.38170i	−0.905623	+	0.149744i
$511$	−7.81050	−	6.22867i	−0.345516	−	0.275540i
$512$	7.81848	+	21.2337i	0.345531	+	0.938407i
$513$	−7.74128	−	9.70726i	−0.341786	−	0.428586i
$514$	−19.1858	−	17.2991i	−0.846250	−	0.763029i
$515$	13.6951	−	28.4382i	0.603478	−	1.25314i
$516$	−2.50553	−	24.1604i	−0.110300	−	1.06360i
$517$	−3.69676	+	0.843762i	−0.162583	+	0.0371086i
$518$	0.614954	−	0.432248i	0.0270195	−	0.0189919i
$519$	−6.39681	+	13.2831i	−0.280789	+	0.583064i
$520$	20.6342	+	23.7170i	0.904869	+	1.04006i
$521$	9.63968			0.422322			0.211161	−	0.977451i	$-0.432276\pi$
$521$	9.63968			0.422322			0.211161	+	0.977451i	$0.432276\pi$
$522$	7.33392	+	0.291955i	0.320997	+	0.0127785i
$523$			32.2117i			1.40852i	0.709943	+	0.704260i	$0.248721\pi$
$523$			32.2117i			1.40852i	−0.709943	+	0.704260i	$0.751279\pi$
$524$	17.7103	+	28.7484i	0.773678	+	1.25588i
$525$	−2.28602	−	1.10089i	−0.0997700	−	0.0480467i
$526$	18.1534	+	25.8266i	0.791525	+	1.12609i
$527$	10.7127	+	46.9354i	0.466652	+	2.04454i
$528$	1.79047	+	3.89306i	0.0779204	+	0.169424i
$529$	3.87947	+	1.86825i	0.168673	+	0.0812285i
$530$	−0.263860	−	0.237912i	−0.0114614	−	0.0103342i
$531$	3.72297	−	2.96897i	0.161563	−	0.128842i
$532$	−2.50428	+	2.46027i	−0.108574	+	0.106666i
$533$	1.51288	−	1.89709i	0.0655302	−	0.0821723i
$534$	−2.14085	−	12.9474i	−0.0926434	−	0.560288i
$535$	−8.12896	+	10.1934i	−0.351445	+	0.440699i
$536$	−21.5600	+	5.90198i	−0.931248	+	0.254927i
$537$	15.1253	+	3.45225i	0.652704	+	0.148975i
$538$	5.20466	−	9.31930i	0.224389	−	0.401784i
$539$	4.77506			0.205676
$540$	17.7354	+	6.38293i	0.763211	+	0.274677i
$541$	21.7126	−	10.4562i	0.933498	−	0.449549i	0.0956269	−	0.995417i	$-0.469514\pi$
$541$	21.7126	−	10.4562i	0.933498	−	0.449549i	0.837871	+	0.545868i	$0.183800\pi$
$542$	−22.5290	+	24.9861i	−0.967702	+	1.07325i
$543$	−13.7220	+	10.9430i	−0.588869	+	0.469607i
$544$	12.6282	+	32.5068i	0.541431	+	1.39372i
$545$	0.658831	−	2.88653i	0.0282212	−	0.123645i
$546$	9.96282	−	4.07509i	0.426369	−	0.174398i
$547$	−3.42283	−	7.10758i	−0.146350	−	0.303898i	0.814888	−	0.579618i	$-0.196798\pi$
$547$	−3.42283	−	7.10758i	−0.146350	−	0.303898i	−0.961238	+	0.275720i	$0.911084\pi$
$548$	−0.718318	+	5.90430i	−0.0306850	+	0.252219i
$549$	−0.328022	−	1.43716i	−0.0139996	−	0.0613364i
$550$	−2.32919	+	0.385130i	−0.0993168	+	0.0164220i
$551$	−9.39306	−	7.17708i	−0.400158	−	0.305754i
$552$	−15.3841	+	8.23738i	−0.654793	+	0.350606i
$553$	−8.93857	+	2.04017i	−0.380106	+	0.0867568i
$554$	−0.829515	+	2.83206i	−0.0352427	+	0.120323i
$555$	0.685722	+	1.42392i	0.0291073	+	0.0604419i
$556$	12.9707	−	7.99054i	0.550081	−	0.338874i
$557$	4.31074	+	0.983898i	0.182652	+	0.0416891i	0.312868	−	0.949796i	$-0.398710\pi$
$557$	4.31074	+	0.983898i	0.182652	+	0.0416891i	−0.130217	+	0.991486i	$0.541567\pi$
$558$	2.99183	−	10.2144i	0.126654	−	0.432411i
$559$	−44.3864	+	35.3970i	−1.87735	+	1.49713i
$560$	1.27786	−	5.17405i	0.0539996	−	0.218643i
$561$	2.86544	+	5.95015i	0.120979	+	0.251216i
$562$	8.14070	−	14.5765i	0.343395	−	0.614872i
$563$	−10.3428			−0.435897			−0.217948	−	0.975960i	$-0.569936\pi$
$563$	−10.3428			−0.435897			−0.217948	+	0.975960i	$0.569936\pi$
$564$	−13.5633	−	4.88138i	−0.571117	−	0.205543i
$565$	6.54353	−	28.6691i	0.275288	−	1.20612i
$566$	36.6853	+	2.22337i	1.54200	+	0.0934553i
$567$	2.58251	−	3.23836i	0.108455	−	0.135999i
$568$	−2.33027	+	1.24774i	−0.0977761	+	0.0523538i
$569$	−31.6986	−	25.2788i	−1.32888	−	1.05974i	−0.993034	−	0.117825i	$-0.962408\pi$
$569$	−31.6986	−	25.2788i	−1.32888	−	1.05974i	−0.335842	−	0.941918i	$-0.609021\pi$
$570$	−4.24459	−	6.03873i	−0.177786	−	0.252934i
$571$	−11.0245	+	8.79177i	−0.461362	+	0.367924i	−0.826414	−	0.563063i	$-0.809623\pi$
$571$	−11.0245	+	8.79177i	−0.461362	+	0.367924i	0.365052	+	0.930987i	$0.381051\pi$
$572$	5.40346	−	8.43266i	0.225930	−	0.352587i
$573$	7.67264	−	15.9324i	0.320529	−	0.665586i
$574$	−0.410610	−	0.0248857i	−0.0171385	−	0.00103871i
$575$	−2.13938	−	9.37324i	−0.0892184	−	0.390891i
$576$	1.06669	−	7.63589i	0.0444454	−	0.318162i
$577$	−6.41756	+	13.3262i	−0.267167	+	0.554777i	−0.990788	−	0.135420i	$-0.956762\pi$
$577$	−6.41756	+	13.3262i	−0.267167	+	0.554777i	0.723622	+	0.690197i	$0.242476\pi$
$578$	11.2462	+	27.4948i	0.467780	+	1.14363i
$579$			18.0372i			0.749601i
$580$	17.8557	+	1.79733i	0.741419	+	0.0746299i
$581$		−	4.50992i		−	0.187103i
$582$	−9.07965	+	3.71385i	−0.376364	+	0.153944i
$583$	−0.0491104	+	0.101979i	−0.00203395	+	0.00422353i
$584$	−28.5444	−	20.8295i	−1.18118	−	0.861931i
$585$	−2.38358	−	10.4431i	−0.0985488	−	0.431771i
$586$	0.438109	−	7.22873i	0.0180981	−	0.298616i
$587$	17.8763	−	37.1205i	0.737832	−	1.53212i	−0.105313	−	0.994439i	$-0.533584\pi$
$587$	17.8763	−	37.1205i	0.737832	−	1.53212i	0.843145	−	0.537686i	$-0.180701\pi$
$588$	15.2842	+	9.79373i	0.630308	+	0.403887i
$589$	−13.4024	+	10.6880i	−0.552234	+	0.440392i
$590$	9.52531	−	6.69529i	0.392151	−	0.275641i
$591$	−10.7221	−	8.55056i	−0.441047	−	0.351723i
$592$	2.10778	−	1.62061i	0.0866293	−	0.0666065i
$593$	−20.9559	+	26.2779i	−0.860556	+	1.07910i	0.135535	+	0.990773i	$0.456725\pi$
$593$	−20.9559	+	26.2779i	−0.860556	+	1.07910i	−0.996091	+	0.0883307i	$0.971847\pi$
$594$	0.363281	−	5.99408i	0.0149056	−	0.245940i
$595$	1.82776	−	8.00796i	0.0749310	−	0.328294i
$596$	−31.6166	−	11.3787i	−1.29506	−	0.466090i
$597$	3.84963			0.157555
$598$	35.6099	+	19.8875i	1.45620	+	0.813260i
$599$	−2.73777	−	5.68505i	−0.111862	−	0.232285i	0.837520	−	0.546406i	$-0.184004\pi$
$599$	−2.73777	−	5.68505i	−0.111862	−	0.232285i	−0.949383	+	0.314121i	$0.898290\pi$
$600$	−8.24523	−	3.54447i	−0.336610	−	0.144702i
$601$	13.4331	−	10.7125i	0.547946	−	0.436972i	−0.309982	−	0.950742i	$-0.600323\pi$
$601$	13.4331	−	10.7125i	0.547946	−	0.436972i	0.857928	+	0.513770i	$0.171752\pi$
$602$	9.23665	+	2.70543i	0.376458	+	0.110265i
$603$	7.42563	+	1.69485i	0.302395	+	0.0690197i
$604$	3.29880	+	5.35481i	0.134226	+	0.217884i
$605$	7.54505	+	15.6675i	0.306750	+	0.636973i
$606$	−11.9196	−	3.49126i	−0.484199	−	0.141823i
$607$	1.72196	−	0.393026i	0.0698922	−	0.0159524i	−0.187432	−	0.982278i	$-0.560016\pi$
$607$	1.72196	−	0.393026i	0.0698922	−	0.0159524i	0.257324	+	0.966325i	$0.417159\pi$
$608$	−8.47757	+	9.07341i	−0.343811	+	0.367976i
$609$	2.55069	−	5.59034i	0.103359	−	0.226532i
$610$	−0.587982	−	3.55599i	−0.0238067	−	0.143978i
$611$	7.49709	+	32.8469i	0.303300	+	1.32884i
$612$	1.43508	−	11.7958i	0.0580096	−	0.476817i
$613$	−0.615103	−	1.27727i	−0.0248438	−	0.0515887i	0.888178	−	0.459500i	$-0.151971\pi$
$613$	−0.615103	−	1.27727i	−0.0248438	−	0.0515887i	−0.913021	+	0.407912i	$0.866257\pi$
$614$	−15.4870	−	37.8627i	−0.625003	−	1.52801i
$615$	0.192462	−	0.843231i	0.00776082	−	0.0340024i
$616$	−1.69636	+	0.0726516i	−0.0683484	+	0.00292722i
$617$	−6.73500	+	5.37098i	−0.271141	+	0.216228i	−0.749615	−	0.661874i	$-0.769761\pi$
$617$	−6.73500	+	5.37098i	−0.271141	+	0.216228i	0.478474	+	0.878102i	$0.341190\pi$
$618$	−28.3914	−	25.5993i	−1.14207	−	1.02976i
$619$	1.46269	−	0.704393i	0.0587903	−	0.0283119i	−0.404258	−	0.914645i	$-0.632470\pi$
$619$	1.46269	−	0.704393i	0.0587903	−	0.0283119i	0.463048	+	0.886333i	$0.346756\pi$
$620$	8.81261	−	24.4864i	0.353923	−	0.983399i
$621$	24.4554			0.981360
$622$	41.4001	+	23.1212i	1.65999	+	0.927075i
$623$	5.06958	+	1.15710i	0.203108	+	0.0463582i
$624$	34.5911	−	15.9089i	1.38475	−	0.636867i
$625$	−5.57226	+	6.98739i	−0.222890	+	0.279496i
$626$	−32.3920	+	5.35600i	−1.29464	+	0.214069i
$627$	−1.46618	+	1.83853i	−0.0585536	+	0.0734239i
$628$	−17.1512	+	16.8497i	−0.684407	+	0.672378i
$629$	3.20374	−	2.55490i	0.127741	−	0.101870i
$630$	−1.21606	+	1.34869i	−0.0484488	+	0.0537330i
$631$	5.35325	+	2.57799i	0.213109	+	0.102628i	0.537393	−	0.843332i	$-0.319409\pi$
$631$	5.35325	+	2.57799i	0.213109	+	0.102628i	−0.324284	+	0.945960i	$0.605123\pi$
$632$	−31.2794	+	8.56266i	−1.24423	+	0.340604i
$633$	3.70685	+	16.2408i	0.147334	+	0.645512i
$634$	−16.8172	+	11.8207i	−0.667894	+	0.469459i
$635$	8.59323	+	4.13828i	0.341012	+	0.164223i
$636$	−0.366354	+	0.225690i	−0.0145269	+	0.00894921i
$637$		−	42.4279i		−	1.68106i
$638$	−1.04951	−	5.62021i	−0.0415504	−	0.222506i
$639$	0.900673			0.0356301
$640$	3.73278	−	18.4781i	0.147551	−	0.730411i
$641$	7.17053	−	14.8898i	0.283219	−	0.588110i	−0.710022	−	0.704179i	$-0.751315\pi$
$641$	7.17053	−	14.8898i	0.283219	−	0.588110i	0.993241	+	0.116069i	$0.0370294\pi$
$642$	9.08037	+	12.9185i	0.358374	+	0.509854i
$643$	26.4405	−	6.03487i	1.04271	−	0.237992i	0.333325	−	0.942812i	$-0.391829\pi$
$643$	26.4405	−	6.03487i	1.04271	−	0.237992i	0.709387	+	0.704820i	$0.248972\pi$
$644$	−0.713253	−	6.87780i	−0.0281061	−	0.271023i
$645$	−8.78029	+	18.2325i	−0.345724	+	0.717902i
$646$	−12.8157	+	14.2135i	−0.504228	+	0.559222i
$647$	5.44577	+	6.82877i	0.214095	+	0.268467i	0.877270	−	0.479998i	$-0.159363\pi$
$647$	5.44577	+	6.82877i	0.214095	+	0.268467i	−0.663174	+	0.748465i	$0.730791\pi$
$648$	8.63626	−	11.8350i	0.339264	−	0.464923i
$649$	−2.90005	−	2.31271i	−0.113837	−	0.0907819i
$650$	3.42200	+	20.6956i	0.134222	+	0.811747i
$651$	−6.96666	−	5.55572i	−0.273045	−	0.217746i
$652$	3.49819	+	33.7326i	0.137000	+	1.32107i
$653$	−9.42777	+	41.3058i	−0.368937	+	1.61642i	0.360767	+	0.932656i	$0.382515\pi$
$653$	−9.42777	+	41.3058i	−0.368937	+	1.61642i	−0.729704	+	0.683763i	$0.760342\pi$
$654$	−3.13072	−	1.74845i	−0.122421	−	0.0683698i
$655$		−	28.1309i		−	1.09917i
$656$	−1.45483	−	0.0257981i	−0.0568017	−	0.00100725i
$657$	5.22415	+	10.8481i	0.203813	+	0.423223i
$658$	3.82487	−	4.24204i	0.149109	−	0.165372i
$659$	11.5544	+	14.4888i	0.450096	+	0.564403i	0.954173	−	0.299256i	$-0.0967385\pi$
$659$	11.5544	+	14.4888i	0.450096	+	0.564403i	−0.504077	+	0.863659i	$0.668167\pi$
$660$	0.431144	−	3.54384i	0.0167822	−	0.137944i
$661$	31.4677	+	7.18229i	1.22395	+	0.279359i	0.785196	−	0.619248i	$-0.212562\pi$
$661$	31.4677	+	7.18229i	1.22395	+	0.279359i	0.438755	+	0.898607i	$0.355419\pi$
$662$	−12.8491	−	31.4136i	−0.499394	−	1.22092i
$663$	52.8690	−	25.4604i	2.05326	−	0.988799i
$664$	−0.682579	−	15.9377i	−0.0264892	−	0.618503i
$665$	2.85142	−	0.650819i	0.110573	−	0.0252377i
$666$	−0.893812	+	0.147791i	−0.0346345	+	0.00572680i
$667$	22.5875	−	5.65086i	0.874593	−	0.218802i
$668$	31.4625	−	10.6971i	1.21732	−	0.413882i
$669$	−4.25864	−	18.6583i	−0.164648	−	0.721372i
$670$	17.8720	+	5.23475i	0.690457	+	0.202236i
$671$	−1.03456	+	0.498219i	−0.0399389	+	0.0192335i
$672$	−5.57877	−	3.24672i	−0.215206	−	0.125245i
$673$	0.124817	−	0.546861i	0.00481136	−	0.0210799i	−0.972465	−	0.233048i	$-0.925130\pi$
$673$	0.124817	−	0.546861i	0.00481136	−	0.0210799i	0.977277	+	0.211968i	$0.0679872\pi$
$674$	−4.53180	+	15.4721i	−0.174559	+	0.595963i
$675$	7.84181	+	9.83331i	0.301831	+	0.378484i
$676$	−53.0356	−	33.9840i	−2.03983	−	1.30708i
$677$	16.7035	−	8.04398i	0.641968	−	0.309155i	−0.0844306	−	0.996429i	$-0.526907\pi$
$677$	16.7035	−	8.04398i	0.641968	−	0.309155i	0.726398	+	0.687274i	$0.241193\pi$
$678$	−31.0945	−	17.3657i	−1.19418	−	0.666925i
$679$		−	3.88706i		−	0.149172i
$680$	5.24717	−	28.5761i	0.201220	−	1.09585i
$681$	25.4657	+	5.81239i	0.975849	+	0.222731i
$682$	−8.27574	−	0.501564i	−0.316894	−	0.0192059i
$683$	−21.5545	−	17.1891i	−0.824759	−	0.657724i	0.117327	−	0.993093i	$-0.462567\pi$
$683$	−21.5545	−	17.1891i	−0.824759	−	0.657724i	−0.942087	+	0.335370i	$0.891139\pi$
$684$	4.00594	−	1.36200i	0.153171	−	0.0520773i
$685$	3.08956	−	3.87418i	0.118046	−	0.148025i
$686$	−12.3608	+	8.68833i	−0.471937	+	0.331722i
$687$	9.78519	+	12.2702i	0.373328	+	0.468139i
$688$	33.0511	+	8.16281i	1.26006	+	0.311204i
$689$	0.906114	+	0.436362i	0.0345202	+	0.0166241i
$690$	14.5119	+	0.879517i	0.552458	+	0.0334826i
$691$	14.7176	−	3.35919i	0.559883	−	0.127790i	0.0667915	−	0.997767i	$-0.478724\pi$
$691$	14.7176	−	3.35919i	0.559883	−	0.127790i	0.493092	+	0.869977i	$0.335867\pi$
$692$	−14.4812	−	14.7403i	−0.550494	−	0.560342i
$693$	0.521252	+	0.251022i	0.0198007	+	0.00953552i
$694$	33.3953	−	13.6597i	1.26767	−	0.518515i
$695$	−12.6921			−0.481440
$696$	8.16785	−	20.1419i	0.309602	−	0.763476i
$697$	−2.24255			−0.0849428
$698$	13.9609	−	5.71041i	0.528427	−	0.216142i
$699$	−6.69639	−	3.22481i	−0.253281	−	0.121974i
$700$	2.53680	−	2.49221i	0.0958820	−	0.0941968i
$701$	−32.8049	+	7.48751i	−1.23902	+	0.282799i	−0.791331	−	0.611388i	$-0.790612\pi$
$701$	−32.8049	+	7.48751i	−1.23902	+	0.282799i	−0.447694	+	0.894187i	$0.647754\pi$
$702$	−53.2593	−	3.22786i	−2.01014	−	0.121828i
$703$	1.31460	+	0.633078i	0.0495811	+	0.0238770i
$704$	−5.98382	+	0.513490i	−0.225524	+	0.0193529i
$705$	7.48772	+	9.38931i	0.282004	+	0.353622i
$706$	−28.9938	+	20.3796i	−1.09120	+	0.766996i
$707$	3.06847	−	3.84774i	0.115402	−	0.144709i
$708$	−4.53915	−	13.3506i	−0.170592	−	0.501748i
$709$	19.6995	+	15.7098i	0.739830	+	0.589995i	0.919202	−	0.393786i	$-0.128835\pi$
$709$	19.6995	+	15.7098i	0.739830	+	0.589995i	−0.179372	+	0.983781i	$0.557406\pi$
$710$	2.19815	+	0.133222i	0.0824951	+	0.00499975i
$711$	10.7732	+	2.45891i	0.404026	+	0.0922163i
$712$	18.0906	+	3.32181i	0.677975	+	0.124490i
$713$		−	33.7644i		−	1.26449i
$714$	−8.68542	−	4.85065i	−0.325044	−	0.181531i
$715$	−7.51767	+	3.62032i	−0.281145	+	0.135392i
$716$	−11.7314	+	18.3082i	−0.438424	+	0.684208i
$717$	19.8163	+	24.8488i	0.740053	+	0.927997i
$718$	−1.46140	+	4.98938i	−0.0545389	+	0.186202i
$719$	1.90893	−	8.36358i	0.0711912	−	0.311909i	−0.926778	−	0.375610i	$-0.877433\pi$
$719$	1.90893	−	8.36358i	0.0711912	−	0.311909i	0.997969	+	0.0637010i	$0.0202904\pi$
$720$	−4.09333	+	4.95021i	−0.152549	+	0.184483i
$721$	13.6475	−	6.57230i	0.508260	−	0.244765i
$722$	19.2469	+	5.63744i	0.716294	+	0.209804i
$723$	9.21907	+	40.3914i	0.342861	+	1.50217i
$724$	−7.91843	−	23.2899i	−0.294286	−	0.865561i
$725$	9.51504	+	7.27028i	0.353380	+	0.270011i
$726$	20.7790	−	3.43579i	0.771180	−	0.127514i
$727$	−20.8455	+	4.75784i	−0.773116	+	0.176459i	−0.590840	−	0.806789i	$-0.701204\pi$
$727$	−20.8455	+	4.75784i	−0.773116	+	0.176459i	−0.182276	+	0.983247i	$0.558346\pi$
$728$	0.645533	+	15.0727i	0.0239250	+	0.558632i
$729$	−26.3134	+	12.6719i	−0.974571	+	0.469329i
$730$	11.1453	+	27.2481i	0.412506	+	1.00850i
$731$	51.1537	+	11.6755i	1.89199	+	0.431834i
$732$	−4.33331	−	0.527191i	−0.160164	−	0.0194856i
$733$	−28.4158	−	35.6323i	−1.04956	−	1.31611i	−0.946947	−	0.321389i	$-0.895850\pi$
$733$	−28.4158	−	35.6323i	−1.04956	−	1.31611i	−0.102616	−	0.994721i	$-0.532721\pi$
$734$	29.3786	−	32.5828i	1.08438	−	1.20265i
$735$	−6.56181	−	13.6257i	−0.242036	−	0.502593i
$736$	−3.56154	−	24.1977i	−0.131280	−	0.891938i
$737$		−	5.93302i		−	0.218546i
$738$	0.432864	+	0.241747i	0.0159340	+	0.00889882i
$739$	−3.06073	+	13.4099i	−0.112591	+	0.493292i	0.886917	+	0.461928i	$0.152842\pi$
$739$	−3.06073	+	13.4099i	−0.112591	+	0.493292i	−0.999508	+	0.0313637i	$0.990015\pi$
$740$	−2.20327	+	0.228487i	−0.0809937	+	0.00839934i
$741$	16.3359	+	13.0275i	0.600116	+	0.478577i
$742$	−0.0278144	−	0.168216i	−0.00102110	−	0.00617539i
$743$	−26.9480	−	21.4903i	−0.988626	−	0.788403i	−0.0112555	−	0.999937i	$-0.503583\pi$
$743$	−26.9480	−	21.4903i	−0.988626	−	0.788403i	−0.977371	+	0.211534i	$0.932154\pi$
$744$	−25.4605	−	18.5791i	−0.933427	−	0.681143i
$745$	17.4542	+	21.8869i	0.639472	+	0.801873i
$746$	9.66523	−	10.7194i	0.353869	−	0.392464i
$747$	−2.35841	+	4.89728i	−0.0862896	+	0.179182i
$748$	−9.20684	+	0.954783i	−0.336635	+	0.0349103i
$749$	−6.10000	+	1.39229i	−0.222889	+	0.0508730i
$750$	13.9679	+	19.8719i	0.510034	+	0.725620i
$751$	18.2114	−	37.8164i	0.664545	−	1.37994i	−0.247111	−	0.968987i	$-0.579481\pi$
$751$	18.2114	−	37.8164i	0.664545	−	1.37994i	0.911656	−	0.410954i	$-0.134804\pi$
$752$	12.8748	−	15.5699i	0.469495	−	0.567777i
$753$	−3.57702			−0.130354
$754$	−49.9373	+	9.32520i	−1.81861	+	0.339604i
$755$		−	5.23979i		−	0.190696i
$756$	4.74451	+	7.70157i	0.172556	+	0.280103i
$757$	−10.3715	−	4.99463i	−0.376957	−	0.181533i	0.235805	−	0.971800i	$-0.424227\pi$
$757$	−10.3715	−	4.99463i	−0.376957	−	0.181533i	−0.612762	+	0.790267i	$0.709942\pi$
$758$	−33.3702	+	23.4557i	−1.21206	+	0.851949i
$759$	−1.03067	−	4.51566i	−0.0374110	−	0.163908i
$760$	9.97821	−	2.73151i	0.361948	−	0.0990822i
$761$	33.7540	+	16.2551i	1.22358	+	0.589246i	0.930307	−	0.366783i	$-0.119541\pi$
$761$	33.7540	+	16.2551i	1.22358	+	0.589246i	0.293275	+	0.956028i	$0.405255\pi$
$762$	7.73542	−	8.57910i	0.280225	−	0.310788i
$763$	1.11088	−	0.885900i	0.0402167	−	0.0320717i
$764$	17.3695	+	17.6802i	0.628406	+	0.639648i
$765$	−6.17241	+	7.73996i	−0.223164	+	0.279839i
$766$	2.47534	−	0.409296i	0.0894376	−	0.0147885i
$767$	−20.5492	+	25.7678i	−0.741988	+	0.930423i
$768$	−20.2064	−	10.6293i	−0.729134	−	0.383552i
$769$	−5.00368	−	1.14206i	−0.180437	−	0.0411837i	0.131347	−	0.991336i	$-0.458070\pi$
$769$	−5.00368	−	1.14206i	−0.180437	−	0.0411837i	−0.311785	+	0.950153i	$0.600927\pi$
$770$	1.23502	+	0.689735i	0.0445070	+	0.0248563i
$771$	26.0662			0.938751
$772$	−23.7868	−	8.56081i	−0.856106	−	0.308110i
$773$	−30.3691	+	14.6250i	−1.09230	+	0.526025i	−0.891230	−	0.453552i	$-0.850157\pi$
$773$	−30.3691	+	14.6250i	−1.09230	+	0.526025i	−0.201072	+	0.979577i	$0.564442\pi$
$774$	−8.61522	−	7.76799i	−0.309668	−	0.279215i
$775$	13.5764	−	10.8268i	0.487678	−	0.388910i
$776$	−0.588309	−	13.7366i	−0.0211190	−	0.493114i
$777$	−0.168771	+	0.739434i	−0.00605463	+	0.0265271i
$778$	4.27697	+	10.4564i	0.153337	+	0.374879i
$779$	−0.346463	−	0.719437i	−0.0124133	−	0.0257765i
$780$	−31.4881	−	3.83085i	−1.12746	−	0.137166i
$781$	−0.156118	−	0.683998i	−0.00558634	−	0.0244754i
$782$	−6.14943	−	37.1905i	−0.219903	−	1.32993i
$783$	−23.4150	+	19.4810i	−0.836785	+	0.696194i
$784$	−20.1698	+	15.5079i	−0.720349	+	0.553853i
$785$	19.5287	−	4.45729i	0.697009	−	0.159088i
$786$	−32.6967	−	9.57691i	−1.16625	−	0.341597i
$787$	−16.3192	−	33.8872i	−0.581718	−	1.20795i	−0.959409	−	0.282018i	$-0.908996\pi$
$787$	−16.3192	−	33.8872i	−0.581718	−	1.20795i	0.377691	−	0.925932i	$-0.376718\pi$
$788$	16.3651	−	10.0816i	0.582981	−	0.359142i
$789$	−31.0545	−	7.08798i	−1.10557	−	0.252339i
$790$	25.9290	+	7.59464i	0.922511	+	0.270205i
$791$	11.0333	−	8.79878i	0.392300	−	0.312849i
$792$	1.88006	+	0.808200i	0.0668049	+	0.0287181i
$793$	4.42684	+	9.19242i	0.157202	+	0.326432i
$794$	4.73858	+	2.64641i	0.168166	+	0.0939175i
$795$	0.358485			0.0127142
$796$	−1.82711	+	5.07674i	−0.0647601	+	0.179940i
$797$	10.2285	−	44.8141i	0.362313	−	1.58740i	−0.384994	−	0.922919i	$-0.625796\pi$
$797$	10.2285	−	44.8141i	0.362313	−	1.58740i	0.747307	−	0.664479i	$-0.231346\pi$
$798$	0.214292	−	3.53578i	0.00758585	−	0.125165i
$799$	19.4142	−	24.3446i	0.686824	−	0.861250i
$800$	8.58766	−	9.19124i	0.303619	−	0.324959i
$801$	−4.89992	−	3.90755i	−0.173130	−	0.138067i
$802$	9.33146	−	6.55903i	0.329505	−	0.231607i
$803$	7.33281	−	5.84772i	0.258769	−	0.206362i
$804$	12.1687	−	18.9906i	0.429158	−	0.669747i
$805$	−2.49950	+	5.19027i	−0.0880959	+	0.182933i
$806$	−4.45656	+	73.5325i	−0.156976	+	2.59007i
$807$	2.39665	+	10.5004i	0.0843661	+	0.369632i
$808$	10.2614	−	14.0621i	0.360995	−	0.494701i
$809$	3.93798	−	8.17730i	0.138452	−	0.287498i	−0.820201	−	0.572075i	$-0.806139\pi$
$809$	3.93798	−	8.17730i	0.138452	−	0.287498i	0.958653	+	0.284576i	$0.0918529\pi$
$810$	−11.2975	+	4.62102i	−0.396954	+	0.162366i
$811$		−	35.3099i		−	1.23990i	−0.784643	−	0.619948i	$-0.787154\pi$
$811$		−	35.3099i		−	1.23990i	0.784643	−	0.619948i	$-0.212846\pi$
$812$	6.16172	+	6.01704i	0.216234	+	0.211157i
$813$		−	33.9466i		−	1.19056i
$814$	0.267166	+	0.653170i	0.00936417	+	0.0228936i
$815$	12.2590	−	25.4560i	0.429412	−	0.891684i
$816$	−31.4278	−	15.8273i	−1.10019	−	0.554066i
$817$	4.15734	+	18.2145i	0.145447	+	0.637244i
$818$	−29.4498	−	1.78485i	−1.02969	−	0.0624059i
$819$	2.23041	−	4.63149i	0.0779367	−	0.161837i
$820$	1.02068	+	0.654025i	0.0356435	+	0.0228396i
$821$	28.5452	−	22.7641i	0.996235	−	0.794471i	0.0175519	−	0.999846i	$-0.494413\pi$
$821$	28.5452	−	22.7641i	0.996235	−	0.794471i	0.978683	+	0.205375i	$0.0658413\pi$
$822$	−3.45116	−	4.90993i	−0.120373	−	0.171253i
$823$	27.4770	+	21.9122i	0.957789	+	0.763811i	0.971731	−	0.236091i	$-0.0758665\pi$
$823$	27.4770	+	21.9122i	0.957789	+	0.763811i	−0.0139416	+	0.999903i	$0.504438\pi$
$824$	47.2346	−	25.2916i	1.64549	−	0.881073i
$825$	1.48522	−	1.86241i	0.0517087	−	0.0648407i
$826$	5.57724	+	0.338018i	0.194057	+	0.0117611i
$827$	1.21609	−	5.32803i	0.0422875	−	0.185274i	−0.949373	−	0.314151i	$-0.898280\pi$
$827$	1.21609	−	5.32803i	0.0422875	−	0.185274i	0.991661	+	0.128877i	$0.0411373\pi$
$828$	−2.82214	+	7.84153i	−0.0980763	+	0.272512i
$829$	44.7024			1.55258			0.776289	−	0.630377i	$-0.217100\pi$
$829$	44.7024			1.55258			0.776289	+	0.630377i	$0.217100\pi$
$830$	−6.48022	+	11.6033i	−0.224932	+	0.402756i
$831$	−1.29196	−	2.68278i	−0.0448176	−	0.0930647i
$832$	4.56253	+	53.1681i	0.158177	+	1.84327i
$833$	−30.6572	+	24.4483i	−1.06221	+	0.847083i
$834$	−4.32091	+	14.7521i	−0.149621	+	0.510823i
$835$	−26.9915	−	6.16063i	−0.934079	−	0.213197i
$836$	−1.72871	−	2.80615i	−0.0597887	−	0.0970527i
$837$	19.1647	+	39.7959i	0.662428	+	1.37555i
$838$	−11.5941	+	39.5837i	−0.400513	+	1.36740i
$839$	20.9339	−	4.77804i	0.722720	−	0.164956i	0.154689	−	0.987963i	$-0.450562\pi$
$839$	20.9339	−	4.77804i	0.722720	−	0.164956i	0.568031	+	0.823007i	$0.307705\pi$
$840$	2.53842	+	4.74077i	0.0875840	+	0.163572i
$841$	−17.1252	+	23.4036i	−0.590525	+	0.807020i
$842$	38.3314	−	6.33808i	1.32099	−	0.218425i
$843$	3.74865	+	16.4239i	0.129110	+	0.565669i
$844$	−23.1771	−	2.81972i	−0.797787	−	0.0970589i
$845$	22.7693	+	47.2809i	0.783287	+	1.62651i
$846$	−6.37172	+	2.60622i	−0.219064	+	0.0896038i
$847$	−1.85700	+	8.13605i	−0.0638073	+	0.279558i
$848$	−0.123753	−	0.590252i	−0.00424971	−	0.0202693i
$849$	−28.9935	+	23.1216i	−0.995056	+	0.793530i
$850$	12.9821	−	14.3981i	0.445284	−	0.493849i
$851$	−2.58931	+	1.24695i	−0.0887605	+	0.0427448i
$852$	0.903184	−	2.50956i	0.0309426	−	0.0859761i
$853$	−28.6789			−0.981948			−0.490974	−	0.871174i	$-0.663359\pi$
$853$	−28.6789			−0.981948			−0.490974	+	0.871174i	$0.663359\pi$
$854$	0.843390	−	1.51015i	0.0288602	−	0.0516762i
$855$	−3.43667	−	0.784398i	−0.117532	−	0.0268258i
$856$	−21.3462	+	5.84347i	−0.729599	+	0.199726i
$857$	−18.9701	+	23.7877i	−0.648005	+	0.812573i	−0.991979	−	0.126407i	$-0.959656\pi$
$857$	−18.9701	+	23.7877i	−0.648005	+	0.812573i	0.343973	+	0.938979i	$0.388227\pi$
$858$	1.64859	+	9.97032i	0.0562818	+	0.340381i
$859$	−14.1455	+	17.7379i	−0.482639	+	0.605210i	−0.962215	−	0.272290i	$-0.912219\pi$
$859$	−14.1455	+	17.7379i	−0.482639	+	0.605210i	0.479576	+	0.877500i	$0.340790\pi$
$860$	−19.8770	−	20.2326i	−0.677800	−	0.689926i
$861$	0.324518	−	0.258795i	0.0110596	−	0.00881970i
$862$	38.6479	+	34.8473i	1.31635	+	1.18690i
$863$	−35.5948	−	17.1416i	−1.21166	−	0.583506i	−0.284685	−	0.958621i	$-0.591889\pi$
$863$	−35.5948	−	17.1416i	−1.21166	−	0.583506i	−0.926978	+	0.375115i	$0.877603\pi$
$864$	17.9324	+	26.4987i	0.610071	+	0.901503i
$865$	3.83075	+	16.7836i	0.130249	+	0.570660i
$866$	−14.5791	−	20.7416i	−0.495419	−	0.704827i
$867$	−27.0055	−	13.0052i	−0.917155	−	0.441679i
$868$	10.6332	−	6.55052i	0.360914	−	0.222339i
$869$		−	8.60770i		−	0.291996i
$870$	−14.5952	+	10.7180i	−0.494823	+	0.363374i
$871$	−52.7168			−1.78624
$872$	3.79169	−	3.29883i	0.128403	−	0.111713i
$873$	−2.03269	+	4.22092i	−0.0687961	+	0.142857i
$874$	10.9811	−	7.71854i	0.371441	−	0.261083i
$875$	−9.38332	+	2.14168i	−0.317214	+	0.0724020i
$876$	35.4648	−	3.67784i	1.19825	−	0.124263i
$877$	−17.9579	+	37.2899i	−0.606394	+	1.25919i	0.341283	+	0.939961i	$0.389139\pi$
$877$	−17.9579	+	37.2899i	−0.606394	+	1.25919i	−0.947677	+	0.319230i	$0.896576\pi$
$878$	1.16470	+	1.05017i	0.0393069	+	0.0354414i
$879$	4.55604	+	5.71309i	0.153671	+	0.192698i
$880$	4.46885	+	2.25055i	0.150645	+	0.0758660i
$881$	−2.39365	−	1.90888i	−0.0806443	−	0.0643117i	0.582338	−	0.812947i	$-0.302138\pi$
$881$	−2.39365	−	1.90888i	−0.0806443	−	0.0643117i	−0.662982	+	0.748635i	$0.730709\pi$
$882$	8.55306	−	1.41424i	0.287996	−	0.0476201i
$883$	−33.5865	−	26.7844i	−1.13028	−	0.901366i	−0.134297	−	0.990941i	$-0.542878\pi$
$883$	−33.5865	−	26.7844i	−1.13028	−	0.901366i	−0.995980	+	0.0895750i	$0.971449\pi$
$884$	8.48355	+	81.8057i	0.285333	+	2.75142i
$885$	−2.61417	+	11.4534i	−0.0878745	+	0.385003i
$886$	−23.6371	+	42.3239i	−0.794104	+	1.42190i
$887$			3.44724i			0.115747i	0.998324	+	0.0578734i	$0.0184320\pi$
$887$			3.44724i			0.115747i	−0.998324	+	0.0578734i	$0.981568\pi$
$888$	−0.484510	+	2.63865i	−0.0162591	+	0.0885472i
$889$	1.98597	+	4.12391i	0.0666072	+	0.138311i
$890$	−11.3806	−	10.2614i	−0.381478	−	0.343963i
$891$	2.42456	+	3.04031i	0.0812259	+	0.101854i
$892$	26.6271	+	3.23946i	0.891542	+	0.108465i
$893$	10.8094	+	2.46718i	0.361723	+	0.0825609i
$894$	31.3813	−	12.8359i	1.04955	−	0.429296i
$895$	16.3216	−	7.86008i	0.545571	−	0.262733i
$896$	6.92945	−	5.81612i	0.231497	−	0.194303i
$897$	−40.1231	+	9.15784i	−1.33967	+	0.305771i
$898$	−3.18674	−	19.2727i	−0.106343	−	0.643139i
$899$	26.8965	+	32.3280i	0.897048	+	1.07820i
$900$	−4.05796	+	1.37968i	−0.135265	+	0.0459895i
$901$	−0.206829	−	0.906177i	−0.00689047	−	0.0301891i
$902$	0.108559	−	0.370633i	0.00361463	−	0.0123407i
$903$	−8.74979	+	4.21367i	−0.291175	+	0.140222i
$904$	37.6592	−	32.7641i	1.25253	−	1.08972i
$905$	−4.56036	+	19.9802i	−0.151591	+	0.664166i
$906$	−6.09022	−	1.78384i	−0.202334	−	0.0592640i
$907$	−2.45936	−	3.08394i	−0.0816617	−	0.102400i	0.739322	−	0.673352i	$-0.235146\pi$
$907$	−2.45936	−	3.08394i	−0.0816617	−	0.102400i	−0.820984	+	0.570951i	$0.806575\pi$
$908$	−19.7517	+	30.8246i	−0.655483	+	1.02295i
$909$	−5.34416	+	2.57361i	−0.177255	+	0.0853613i
$910$	6.12851	−	10.9735i	0.203158	−	0.363769i
$911$		−	33.2727i		−	1.10237i	−0.834382	−	0.551187i	$-0.814175\pi$
$911$		−	33.2727i		−	1.10237i	0.834382	−	0.551187i	$-0.185825\pi$
$912$	0.222148	−	12.5276i	0.00735607	−	0.414831i
$913$	4.12794	+	0.942174i	0.136615	+	0.0311814i
$914$	−3.28671	+	54.2303i	−0.108715	+	1.79378i
$915$	2.84336	+	2.26750i	0.0939985	+	0.0749613i
$916$	−20.8258	+	7.08065i	−0.688103	+	0.233951i
$917$	8.41716	−	10.5548i	0.277959	−	0.348550i
$918$	28.3573	+	40.3436i	0.935930	+	1.33154i
$919$	−4.48496	−	5.62396i	−0.147945	−	0.185517i	0.702337	−	0.711845i	$-0.252140\pi$
$919$	−4.48496	−	5.62396i	−0.147945	−	0.185517i	−0.850282	+	0.526327i	$0.823569\pi$
$920$	−8.04750	+	18.7203i	−0.265318	+	0.617190i
$921$	37.1889	+	17.9092i	1.22542	+	0.590130i
$922$	0.742773	−	12.2556i	0.0244619	−	0.403618i
$923$	−6.07754	+	1.38716i	−0.200045	+	0.0456589i
$924$	1.22213	−	1.20065i	0.0402052	−	0.0394985i
$925$	−1.33167	−	0.641299i	−0.0437851	−	0.0210858i
$926$	−20.7658	−	50.7685i	−0.682408	−	1.66836i
$927$	−18.2566			−0.599626
$928$	22.6857	+	20.3312i	0.744696	+	0.667404i
$929$	36.4659			1.19641			0.598204	−	0.801344i	$-0.295881\pi$
$929$	36.4659			1.19641			0.598204	+	0.801344i	$0.295881\pi$
$930$	9.94115	+	24.3042i	0.325983	+	0.796967i
$931$	−12.5797	−	6.05804i	−0.412282	−	0.198544i
$932$	7.43100	−	7.30040i	0.243410	−	0.239132i
$933$	−46.6471	+	10.6469i	−1.52716	+	0.348564i
$934$	2.49166	−	41.1120i	0.0815296	−	1.34523i
$935$	6.94786	+	3.34591i	0.227219	+	0.109423i
$936$	7.18111	−	16.7049i	0.234722	−	0.546017i
$937$	−10.2947	−	12.9091i	−0.336313	−	0.421723i	0.584703	−	0.811247i	$-0.301211\pi$
$937$	−10.2947	−	12.9091i	−0.336313	−	0.421723i	−0.921016	+	0.389524i	$0.872639\pi$
$938$	5.13932	+	7.31165i	0.167805	+	0.238734i
$939$	20.6550	−	25.9005i	0.674049	−	0.845231i
$940$	−15.9361	+	5.41819i	−0.519778	+	0.176722i
$941$	−1.50544	−	1.20055i	−0.0490760	−	0.0391368i	0.598645	−	0.801015i	$-0.295706\pi$
$941$	−1.50544	−	1.20055i	−0.0490760	−	0.0391368i	−0.647721	+	0.761878i	$0.724278\pi$
$942$	1.46763	−	24.2157i	0.0478180	−	0.788990i
$943$	1.53337	+	0.349981i	0.0499333	+	0.0113970i
$944$	19.7607	+	0.350411i	0.643156	+	0.0114049i
$945$		−	7.53615i		−	0.245151i
$946$	−4.40593	+	7.88912i	−0.143249	+	0.256497i
$947$	−39.3920	+	18.9702i	−1.28007	+	0.616449i	−0.945408	−	0.325890i	$-0.894336\pi$
$947$	−39.3920	+	18.9702i	−1.28007	+	0.616449i	−0.334661	+	0.942338i	$0.608622\pi$
$948$	17.6545	−	27.5518i	0.573393	−	0.894840i
$949$	−51.9589	−	65.1543i	−1.68666	−	2.11500i
$950$	6.62473	+	1.94040i	0.214935	+	0.0629548i
$951$	4.61538	−	20.2213i	0.149664	−	0.655721i
$952$	10.5191	−	9.15181i	0.340927	−	0.296612i
$953$	−26.1359	+	12.5864i	−0.846624	+	0.407713i	−0.806323	−	0.591475i	$-0.798546\pi$
$953$	−26.1359	+	12.5864i	−0.846624	+	0.407713i	−0.0403006	+	0.999188i	$0.512832\pi$
$954$	−0.0577629	+	0.197209i	−0.00187014	+	0.00638488i
$955$	−4.59478	−	20.1311i	−0.148684	−	0.651426i
$956$	−42.1749	+	14.3393i	−1.36403	+	0.463765i
$957$	4.58398	+	3.50254i	0.148179	+	0.113221i
$958$	−3.25963	−	19.7136i	−0.105314	−	0.636917i
$959$	2.31842	−	0.529163i	0.0748656	−	0.0170876i
$960$	9.68812	+	16.3693i	0.312683	+	0.528317i
$961$	27.0142	−	13.0094i	0.871426	−	0.419657i
$962$	5.80363	−	2.37386i	0.187116	−	0.0765362i
$963$	7.35202	+	1.67805i	0.236915	+	0.0540744i
$964$	−57.6422	−	7.01276i	−1.85653	−	0.225866i
$965$	13.1317	+	16.4666i	0.422725	+	0.530080i
$966$	5.18173	+	4.67215i	0.166719	+	0.150324i
$967$	16.5876	+	34.4444i	0.533420	+	1.10766i	0.977356	+	0.211600i	$0.0678673\pi$
$967$	16.5876	+	34.4444i	0.533420	+	1.10766i	−0.443937	+	0.896058i	$0.646418\pi$
$968$	−5.33110	+	29.0332i	−0.171348	+	0.933163i
$969$		−	19.3107i		−	0.620350i
$970$	−5.58525	+	10.0008i	−0.179331	+	0.321105i
$971$	−10.2754	+	45.0194i	−0.329753	+	1.44474i	0.489848	+	0.871808i	$0.337052\pi$
$971$	−10.2754	+	45.0194i	−0.329753	+	1.44474i	−0.819601	+	0.572934i	$0.805805\pi$
$972$	−1.97572	−	19.0516i	−0.0633714	−	0.611081i
$973$	−4.76211	−	3.79766i	−0.152666	−	0.121747i
$974$	−25.1304	+	4.15529i	−0.805228	+	0.133144i
$975$	−16.5481	−	13.1967i	−0.529963	−	0.422631i
$976$	2.75191	−	5.46440i	0.0880866	−	0.174911i
$977$	−2.15841	−	2.70656i	−0.0690536	−	0.0865904i	0.746105	−	0.665828i	$-0.231922\pi$
$977$	−2.15841	−	2.70656i	−0.0690536	−	0.0865904i	−0.815159	+	0.579238i	$0.803350\pi$
$978$	−25.4141	−	22.9149i	−0.812653	−	0.732736i
$979$	−2.11819	+	4.39846i	−0.0676976	+	0.140575i
$980$	21.0835	−	2.18643i	0.673487	−	0.0698431i
$981$	−1.66957	+	0.381068i	−0.0533052	+	0.0121666i
$982$	−25.9002	+	18.2051i	−0.826507	+	0.580947i
$983$	−15.6591	+	32.5165i	−0.499448	+	1.03712i	0.487054	+	0.873372i	$0.338071\pi$
$983$	−15.6591	+	32.5165i	−0.499448	+	1.03712i	−0.986503	+	0.163744i	$0.947643\pi$
$984$	1.10765	−	0.963677i	0.0353107	−	0.0307209i
$985$	−16.0136			−0.510234
$986$	35.5136	+	30.7098i	1.13098	+	0.977999i
$987$			5.76332i			0.183448i
$988$	−24.9335	+	15.3602i	−0.793241	+	0.488671i
$989$	−33.1547	−	15.9665i	−1.05426	−	0.507704i
$990$	−0.980407	−	1.39481i	−0.0311594	−	0.0443301i
$991$	−8.88641	−	38.9339i	−0.282286	−	1.23678i	−0.894854	−	0.446358i	$-0.852721\pi$
$991$	−8.88641	−	38.9339i	−0.282286	−	1.23678i	0.612568	−	0.790418i	$-0.290136\pi$
$992$	36.5855	−	24.7584i	1.16159	−	0.786079i
$993$	30.8546	+	14.8588i	0.979140	+	0.471529i
$994$	0.784889	+	0.707702i	0.0248952	+	0.0224469i
$995$	3.51442	−	2.80266i	0.111415	−	0.0888503i
$996$	11.2804	+	11.4822i	0.357433	+	0.363828i
$997$	19.8054	−	24.8352i	0.627243	−	0.786538i	−0.362100	−	0.932139i	$-0.617940\pi$
$997$	19.8054	−	24.8352i	0.627243	−	0.786538i	0.989343	+	0.145601i	$0.0465117\pi$
$998$	−2.21241	−	13.3802i	−0.0700327	−	0.423543i
$999$	2.34408	−	2.93939i	0.0741636	−	0.0929982i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	232.2.o.a.109.11	✓	168
4.3	odd	2		928.2.be.a.689.8		168
8.3	odd	2		928.2.be.a.689.21		168
8.5	even	2	inner	232.2.o.a.109.15	yes	168
29.4	even	14	inner	232.2.o.a.149.15	yes	168
116.91	odd	14		928.2.be.a.497.21		168
232.91	odd	14		928.2.be.a.497.8		168
232.149	even	14	inner	232.2.o.a.149.11	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
232.2.o.a.109.11	✓	168	1.1	even	1	trivial
232.2.o.a.109.15	yes	168	8.5	even	2	inner
232.2.o.a.149.11	yes	168	232.149	even	14	inner
232.2.o.a.149.15	yes	168	29.4	even	14	inner
928.2.be.a.497.8		168	232.91	odd	14
928.2.be.a.497.21		168	116.91	odd	14
928.2.be.a.689.8		168	4.3	odd	2
928.2.be.a.689.21		168	8.3	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 232 = 2^{3} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	232.o (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.535399 - 1.30895i) q^{2} +(1.28566 + 0.619139i) q^{3} +(-1.42670 + 1.40162i) q^{4} +(1.62446 - 0.370773i) q^{5} +(0.122083 - 2.01435i) q^{6} +(0.720443 + 0.346947i) q^{7} +(2.59850 + 1.11705i) q^{8} +(-0.600891 - 0.753493i) q^{9} +O(q^{10})\)	\(q+(-0.535399 - 1.30895i) q^{2} +(1.28566 + 0.619139i) q^{3} +(-1.42670 + 1.40162i) q^{4} +(1.62446 - 0.370773i) q^{5} +(0.122083 - 2.01435i) q^{6} +(0.720443 + 0.346947i) q^{7} +(2.59850 + 1.11705i) q^{8} +(-0.600891 - 0.753493i) q^{9} +(-1.35506 - 1.92783i) q^{10} +(-0.468070 + 0.586941i) q^{11} +(-2.70204 + 0.918679i) q^{12} +(5.21516 + 4.15895i) q^{13} +(0.0684115 - 1.12878i) q^{14} +(2.31806 + 0.529083i) q^{15} +(0.0709196 - 3.99937i) q^{16} -6.16484i q^{17} +(-0.664568 + 1.18996i) q^{18} +(1.97775 - 0.952434i) q^{19} +(-1.79793 + 2.80586i) q^{20} +(0.711434 + 0.892109i) q^{21} +(1.01888 + 0.298432i) q^{22} +(-0.962107 + 4.21527i) q^{23} +(2.64917 + 3.04497i) q^{24} +(-2.00343 + 0.964802i) q^{25} +(2.65166 - 9.05308i) q^{26} +(-1.25861 - 5.51435i) q^{27} +(-1.51414 + 0.514800i) q^{28} +(-2.43668 - 4.80235i) q^{29} +(-0.548547 - 3.31750i) q^{30} +(-7.61340 + 1.73771i) q^{31} +(-5.27294 + 2.04843i) q^{32} +(-0.965176 + 0.464804i) q^{33} +(-8.06946 + 3.30065i) q^{34} +(1.29897 + 0.296482i) q^{35} +(1.91340 + 0.232784i) q^{36} +(0.414430 + 0.519679i) q^{37} +(-2.30557 - 2.07884i) q^{38} +(4.12993 + 8.57589i) q^{39} +(4.63534 + 0.851145i) q^{40} -0.363765i q^{41} +(0.786825 - 1.40886i) q^{42} +(-1.89388 + 8.29765i) q^{43} +(-0.154876 - 1.49344i) q^{44} +(-1.25550 - 1.00123i) q^{45} +(6.03268 - 0.997501i) q^{46} +(3.94894 + 3.14918i) q^{47} +(2.56735 - 5.09791i) q^{48} +(-3.96576 - 4.97291i) q^{49} +(2.33551 + 2.10584i) q^{50} +(3.81689 - 7.92586i) q^{51} +(-13.2697 + 1.37612i) q^{52} +(0.146991 - 0.0335498i) q^{53} +(-6.54414 + 4.59984i) q^{54} +(-0.542741 + 1.12701i) q^{55} +(1.48452 + 1.70631i) q^{56} +3.13240 q^{57} +(-4.98144 + 5.76066i) q^{58} +4.94095i q^{59} +(-4.04874 + 2.49421i) q^{60} +(1.37808 + 0.663650i) q^{61} +(6.35078 + 9.03519i) q^{62} +(-0.171485 - 0.751326i) q^{63} +(5.50442 + 5.80529i) q^{64} +(10.0139 + 4.82243i) q^{65} +(1.12516 + 1.01451i) q^{66} +(-6.17885 + 4.92747i) q^{67} +(8.64076 + 8.79535i) q^{68} +(-3.84678 + 4.82370i) q^{69} +(-0.307389 - 1.85903i) q^{70} +(-0.582680 + 0.730658i) q^{71} +(-0.719730 - 2.62918i) q^{72} +(-12.1800 - 2.78001i) q^{73} +(0.458348 - 0.820704i) q^{74} -3.17307 q^{75} +(-1.48670 + 4.13089i) q^{76} +(-0.540855 + 0.260462i) q^{77} +(9.01424 - 9.99740i) q^{78} +(-8.96435 + 7.14883i) q^{79} +(-1.36765 - 6.52313i) q^{80} +(1.15264 - 5.05004i) q^{81} +(-0.476150 + 0.194760i) q^{82} +(-2.44710 - 5.08146i) q^{83} +(-2.26540 - 0.275609i) q^{84} +(-2.28576 - 10.0146i) q^{85} +(11.8752 - 1.96356i) q^{86} +(-0.159401 - 7.68282i) q^{87} +(-1.87192 + 1.00231i) q^{88} +(6.33989 - 1.44704i) q^{89} +(-0.638363 + 2.17944i) q^{90} +(2.31429 + 4.80567i) q^{91} +(-4.53557 - 7.36241i) q^{92} +(-10.8641 - 2.47966i) q^{93} +(2.00785 - 6.85503i) q^{94} +(2.85965 - 2.28049i) q^{95} +(-8.04746 - 0.631111i) q^{96} +(-2.10914 - 4.37967i) q^{97} +(-4.38602 + 7.85347i) q^{98} +0.723516 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9}+O(q^{10}) \) 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9	\( 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9} - 7 q^{10} - 7 q^{14} - 14 q^{15} + 5 q^{16} - 56 q^{18} - 27 q^{20} - 12 q^{22} - 6 q^{23} + 9 q^{24} + 14 q^{25} - 7 q^{26} + 16 q^{28} - 22 q^{30} - 14 q^{31} - 42 q^{32} + 2 q^{33} - 5 q^{34} + 4 q^{36} + 58 q^{38} + 70 q^{39} - 7 q^{40} - 32 q^{42} - 14 q^{44} - 14 q^{47} - 84 q^{48} - 26 q^{49} + 42 q^{50} + 16 q^{52} + 40 q^{54} - 14 q^{55} - 7 q^{56} - 12 q^{57} + 53 q^{58} - 126 q^{60} + 57 q^{62} + 50 q^{63} - 30 q^{64} - 60 q^{65} + 133 q^{66} - 28 q^{68} - 46 q^{71} - 119 q^{72} - 84 q^{73} - 40 q^{74} - 77 q^{76} + 29 q^{78} - 154 q^{79} + 66 q^{80} - 26 q^{81} - 48 q^{82} + 63 q^{84} - 32 q^{86} - 46 q^{87} - 10 q^{88} - 14 q^{89} + 140 q^{90} + 20 q^{92} - 26 q^{94} - 14 q^{95} + 136 q^{96} + 28 q^{98}+O(q^{100}) \) 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9 - 7 * q^10 - 7 * q^14 - 14 * q^15 + 5 * q^16 - 56 * q^18 - 27 * q^20 - 12 * q^22 - 6 * q^23 + 9 * q^24 + 14 * q^25 - 7 * q^26 + 16 * q^28 - 22 * q^30 - 14 * q^31 - 42 * q^32 + 2 * q^33 - 5 * q^34 + 4 * q^36 + 58 * q^38 + 70 * q^39 - 7 * q^40 - 32 * q^42 - 14 * q^44 - 14 * q^47 - 84 * q^48 - 26 * q^49 + 42 * q^50 + 16 * q^52 + 40 * q^54 - 14 * q^55 - 7 * q^56 - 12 * q^57 + 53 * q^58 - 126 * q^60 + 57 * q^62 + 50 * q^63 - 30 * q^64 - 60 * q^65 + 133 * q^66 - 28 * q^68 - 46 * q^71 - 119 * q^72 - 84 * q^73 - 40 * q^74 - 77 * q^76 + 29 * q^78 - 154 * q^79 + 66 * q^80 - 26 * q^81 - 48 * q^82 + 63 * q^84 - 32 * q^86 - 46 * q^87 - 10 * q^88 - 14 * q^89 + 140 * q^90 + 20 * q^92 - 26 * q^94 - 14 * q^95 + 136 * q^96 + 28 * q^98

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