LMFDB - Embedded newform 232.2.o.a.109.24

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			109.24
Character	$\chi$	$=$	232.109
Dual form			232.2.o.a.149.24

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.17304 + 0.789919i) q^{2} +(-2.17892 - 1.04931i) q^{3} +(0.752055 + 1.85322i) q^{4} +(-2.51814 + 0.574749i) q^{5} +(-1.72709 - 2.95205i) q^{6} +(-4.18817 - 2.01692i) q^{7} +(-0.581700 + 2.76796i) q^{8} +(1.77615 + 2.22723i) q^{9} +O(q^{10})$	\(q+(1.17304 + 0.789919i) q^{2} +(-2.17892 - 1.04931i) q^{3} +(0.752055 + 1.85322i) q^{4} +(-2.51814 + 0.574749i) q^{5} +(-1.72709 - 2.95205i) q^{6} +(-4.18817 - 2.01692i) q^{7} +(-0.581700 + 2.76796i) q^{8} +(1.77615 + 2.22723i) q^{9} +(-3.40789 - 1.31492i) q^{10} +(1.61552 - 2.02580i) q^{11} +(0.305936 - 4.82714i) q^{12} +(-2.33204 - 1.85974i) q^{13} +(-3.31970 - 5.67425i) q^{14} +(6.08990 + 1.38998i) q^{15} +(-2.86883 + 2.78744i) q^{16} +7.17084i q^{17} +(0.324174 + 4.01565i) q^{18} +(-2.71282 + 1.30643i) q^{19} +(-2.95891 - 4.23441i) q^{20} +(7.00931 + 8.78939i) q^{21} +(3.49529 - 1.10022i) q^{22} +(0.662184 - 2.90122i) q^{23} +(4.17193 - 5.42078i) q^{24} +(1.50584 - 0.725174i) q^{25} +(-1.26653 - 4.02367i) q^{26} +(0.0814063 + 0.356664i) q^{27} +(0.588050 - 9.27843i) q^{28} +(1.04551 - 5.28270i) q^{29} +(6.04574 + 6.44104i) q^{30} +(-0.338785 + 0.0773254i) q^{31} +(-5.56711 + 1.00365i) q^{32} +(-5.64578 + 2.71887i) q^{33} +(-5.66439 + 8.41170i) q^{34} +(11.7056 + 2.67173i) q^{35} +(-2.79177 + 4.96659i) q^{36} +(4.05796 + 5.08852i) q^{37} +(-4.21423 - 0.610418i) q^{38} +(3.12987 + 6.49924i) q^{39} +(-0.126083 - 7.30445i) q^{40} -8.13098i q^{41} +(1.27930 + 15.8471i) q^{42} +(-0.228222 + 0.999905i) q^{43} +(4.96921 + 1.47040i) q^{44} +(-5.75269 - 4.58762i) q^{45} +(3.06850 - 2.88018i) q^{46} +(-7.17379 - 5.72091i) q^{47} +(9.17583 - 3.06331i) q^{48} +(9.10841 + 11.4216i) q^{49} +(2.33924 + 0.338832i) q^{50} +(7.52444 - 15.6247i) q^{51} +(1.69268 - 5.72039i) q^{52} +(-10.9450 + 2.49812i) q^{53} +(-0.186243 + 0.482687i) q^{54} +(-2.90378 + 6.02977i) q^{55} +(8.01902 - 10.4195i) q^{56} +7.28186 q^{57} +(5.39933 - 5.37096i) q^{58} -2.42222i q^{59} +(2.00401 + 12.3313i) q^{60} +(4.89777 + 2.35864i) q^{61} +(-0.458490 - 0.176907i) q^{62} +(-2.94671 - 12.9104i) q^{63} +(-7.32325 - 3.22025i) q^{64} +(6.94127 + 3.34274i) q^{65} +(-8.77042 - 1.27037i) q^{66} +(-3.92848 + 3.13285i) q^{67} +(-13.2891 + 5.39287i) q^{68} +(-4.48712 + 5.62667i) q^{69} +(11.6207 + 12.3805i) q^{70} +(-0.274836 + 0.344633i) q^{71} +(-7.19807 + 3.62075i) q^{72} +(-9.79518 - 2.23569i) q^{73} +(0.740636 + 9.17450i) q^{74} -4.04203 q^{75} +(-4.46128 - 4.04495i) q^{76} +(-10.8520 + 5.22603i) q^{77} +(-1.46241 + 10.0962i) q^{78} +(-6.46846 + 5.15843i) q^{79} +(5.62202 - 8.66802i) q^{80} +(2.09858 - 9.19448i) q^{81} +(6.42282 - 9.53798i) q^{82} +(-2.57670 - 5.35058i) q^{83} +(-11.0173 + 19.5999i) q^{84} +(-4.12143 - 18.0572i) q^{85} +(-1.05756 + 0.992654i) q^{86} +(-7.82126 + 10.4135i) q^{87} +(4.66760 + 5.65012i) q^{88} +(4.44398 - 1.01431i) q^{89} +(-3.12430 - 9.92564i) q^{90} +(6.01603 + 12.4924i) q^{91} +(5.87458 - 0.954704i) q^{92} +(0.819322 + 0.187005i) q^{93} +(-3.89610 - 12.3776i) q^{94} +(6.08040 - 4.84895i) q^{95} +(13.1834 + 3.65477i) q^{96} +(-4.73524 - 9.83283i) q^{97} +(1.66242 + 20.5929i) q^{98} +7.38133 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 $

$2$	1.17304	+	0.789919i	0.829466	+	0.558557i
$2$	1.17304	+	0.789919i	0.829466	+	0.558557i
$3$	−2.17892	−	1.04931i	−1.25800	−	0.605820i	−0.318353	−	0.947972i	$-0.603130\pi$
$3$	−2.17892	−	1.04931i	−1.25800	−	0.605820i	−0.939645	+	0.342152i	$0.888844\pi$
$4$	0.752055	+	1.85322i	0.376027	+	0.926609i
$5$	−2.51814	+	0.574749i	−1.12615	+	0.257035i	−0.744728	−	0.667368i	$-0.767421\pi$
$5$	−2.51814	+	0.574749i	−1.12615	+	0.257035i	−0.381417	+	0.924403i	$0.624564\pi$
$6$	−1.72709	−	2.95205i	−0.705081	−	1.20517i
$7$	−4.18817	−	2.01692i	−1.58298	−	0.762323i	−0.584196	−	0.811612i	$-0.698590\pi$
$7$	−4.18817	−	2.01692i	−1.58298	−	0.762323i	−0.998785	+	0.0492891i	$0.984304\pi$
$8$	−0.581700	+	2.76796i	−0.205662	+	0.978623i
$9$	1.77615	+	2.22723i	0.592051	+	0.742409i
$10$	−3.40789	−	1.31492i	−1.07767	−	0.415815i
$11$	1.61552	−	2.02580i	0.487098	−	0.610802i	−0.476167	−	0.879355i	$-0.657974\pi$
$11$	1.61552	−	2.02580i	0.487098	−	0.610802i	0.963265	+	0.268553i	$0.0865455\pi$
$12$	0.305936	−	4.82714i	0.0883161	−	1.39348i
$13$	−2.33204	−	1.85974i	−0.646790	−	0.515798i	0.244256	−	0.969711i	$-0.421456\pi$
$13$	−2.33204	−	1.85974i	−0.646790	−	0.515798i	−0.891046	+	0.453913i	$0.850028\pi$
$14$	−3.31970	−	5.67425i	−0.887227	−	1.51651i
$15$	6.08990	+	1.38998i	1.57241	+	0.358891i
$16$	−2.86883	+	2.78744i	−0.717207	+	0.696861i
$17$			7.17084i			1.73919i	0.493770	+	0.869593i	$0.335618\pi$
$17$			7.17084i			1.73919i	−0.493770	+	0.869593i	$0.664382\pi$
$18$	0.324174	+	4.01565i	0.0764085	+	0.946497i
$19$	−2.71282	+	1.30643i	−0.622364	+	0.299715i	−0.718365	−	0.695666i	$-0.755109\pi$
$19$	−2.71282	+	1.30643i	−0.622364	+	0.299715i	0.0960007	+	0.995381i	$0.469395\pi$
$20$	−2.95891	−	4.23441i	−0.661633	−	0.946844i
$21$	7.00931	+	8.78939i	1.52956	+	1.91800i
$22$	3.49529	−	1.10022i	0.745199	−	0.234567i
$23$	0.662184	−	2.90122i	0.138075	−	0.604945i	−0.857782	−	0.514013i	$-0.828158\pi$
$23$	0.662184	−	2.90122i	0.138075	−	0.604945i	0.995857	−	0.0909321i	$-0.0289846\pi$
$24$	4.17193	−	5.42078i	0.851592	−	1.10651i
$25$	1.50584	−	0.725174i	0.301168	−	0.145035i
$26$	−1.26653	−	4.02367i	−0.248388	−	0.789106i
$27$	0.0814063	+	0.356664i	0.0156667	+	0.0686401i
$28$	0.588050	−	9.27843i	0.111131	−	1.75346i
$29$	1.04551	−	5.28270i	0.194146	−	0.980973i
$29$	1.04551	−	5.28270i	0.194146	−	0.980973i
$30$	6.04574	+	6.44104i	1.10380	+	1.17597i
$31$	−0.338785	+	0.0773254i	−0.0608475	+	0.0138881i	−0.252836	−	0.967509i	$-0.581363\pi$
$31$	−0.338785	+	0.0773254i	−0.0608475	+	0.0138881i	0.191989	+	0.981397i	$0.438506\pi$
$32$	−5.56711	+	1.00365i	−0.984135	+	0.177421i
$33$	−5.64578	+	2.71887i	−0.982805	+	0.473294i
$34$	−5.66439	+	8.41170i	−0.971435	+	1.44259i
$35$	11.7056	+	2.67173i	1.97861	+	0.451605i
$36$	−2.79177	+	4.96659i	−0.465295	+	0.827766i
$37$	4.05796	+	5.08852i	0.667124	+	0.836547i	0.994098	−	0.108486i	$-0.0346004\pi$
$37$	4.05796	+	5.08852i	0.667124	+	0.836547i	−0.326974	+	0.945033i	$0.606029\pi$
$38$	−4.21423	−	0.610418i	−0.683638	−	0.0990229i
$39$	3.12987	+	6.49924i	0.501180	+	1.04071i
$40$	−0.126083	−	7.30445i	−0.0199354	−	1.15493i
$41$		−	8.13098i		−	1.26985i	−0.772575	−	0.634923i	$-0.781032\pi$
$41$		−	8.13098i		−	1.26985i	0.772575	−	0.634923i	$-0.218968\pi$
$42$	1.27930	+	15.8471i	0.197400	+	2.44526i
$43$	−0.228222	+	0.999905i	−0.0348035	+	0.152484i	−0.989344	−	0.145597i	$-0.953490\pi$
$43$	−0.228222	+	0.999905i	−0.0348035	+	0.152484i	0.954540	+	0.298081i	$0.0963467\pi$
$44$	4.96921	+	1.47040i	0.749137	+	0.221671i
$45$	−5.75269	−	4.58762i	−0.857561	−	0.683882i
$46$	3.06850	−	2.88018i	0.452425	−	0.424659i
$47$	−7.17379	−	5.72091i	−1.04640	−	0.834480i	−0.0598988	−	0.998204i	$-0.519078\pi$
$47$	−7.17379	−	5.72091i	−1.04640	−	0.834480i	−0.986506	+	0.163724i	$0.947649\pi$
$48$	9.17583	−	3.06331i	1.32442	−	0.442151i
$49$	9.10841	+	11.4216i	1.30120	+	1.63165i
$50$	2.33924	+	0.338832i	0.330819	+	0.0479181i
$51$	7.52444	−	15.6247i	1.05363	−	2.18789i
$52$	1.69268	−	5.72039i	0.234732	−	0.793276i
$53$	−10.9450	+	2.49812i	−1.50341	+	0.343143i	−0.893404	−	0.449254i	$-0.851690\pi$
$53$	−10.9450	+	2.49812i	−1.50341	+	0.343143i	−0.610005	+	0.792397i	$0.708833\pi$
$54$	−0.186243	+	0.482687i	−0.0253445	+	0.0656853i
$55$	−2.90378	+	6.02977i	−0.391546	+	0.813053i
$56$	8.01902	−	10.4195i	1.07159	−	1.39236i
$57$	7.28186			0.964506
$58$	5.39933	−	5.37096i	0.708967	−	0.705242i
$59$		−	2.42222i		−	0.315346i	−0.987491	−	0.157673i	$-0.949601\pi$
$59$		−	2.42222i		−	0.315346i	0.987491	−	0.157673i	$-0.0503992\pi$
$60$	2.00401	+	12.3313i	0.258716	+	1.59196i
$61$	4.89777	+	2.35864i	0.627095	+	0.301993i	0.720309	−	0.693653i	$-0.244000\pi$
$61$	4.89777	+	2.35864i	0.627095	+	0.301993i	−0.0932145	+	0.995646i	$0.529714\pi$
$62$	−0.458490	−	0.176907i	−0.0582282	−	0.0224672i
$63$	−2.94671	−	12.9104i	−0.371250	−	1.62655i
$64$	−7.32325	−	3.22025i	−0.915406	−	0.402531i
$65$	6.94127	+	3.34274i	0.860958	+	0.414616i
$66$	−8.77042	−	1.27037i	−1.07956	−	0.156372i
$67$	−3.92848	+	3.13285i	−0.479940	+	0.382739i	−0.833364	−	0.552724i	$-0.813588\pi$
$67$	−3.92848	+	3.13285i	−0.479940	+	0.382739i	0.353425	+	0.935463i	$0.385017\pi$
$68$	−13.2891	+	5.39287i	−1.61154	+	0.653981i
$69$	−4.48712	+	5.62667i	−0.540186	+	0.677371i
$70$	11.6207	+	12.3805i	1.38894	+	1.47976i
$71$	−0.274836	+	0.344633i	−0.0326170	+	0.0409004i	−0.797872	−	0.602826i	$-0.794041\pi$
$71$	−0.274836	+	0.344633i	−0.0326170	+	0.0409004i	0.765255	+	0.643727i	$0.222613\pi$
$72$	−7.19807	+	3.62075i	−0.848301	+	0.426710i
$73$	−9.79518	−	2.23569i	−1.14644	−	0.261667i	−0.393225	−	0.919442i	$-0.628641\pi$
$73$	−9.79518	−	2.23569i	−1.14644	−	0.261667i	−0.753215	+	0.657775i	$0.771498\pi$
$74$	0.740636	+	9.17450i	0.0860972	+	1.06651i
$75$	−4.04203			−0.466733
$76$	−4.46128	−	4.04495i	−0.511744	−	0.463987i
$77$	−10.8520	+	5.22603i	−1.23670	+	0.595561i
$78$	−1.46241	+	10.0962i	−0.165585	+	1.14317i
$79$	−6.46846	+	5.15843i	−0.727759	+	0.580369i	−0.915724	−	0.401807i	$-0.868382\pi$
$79$	−6.46846	+	5.15843i	−0.727759	+	0.580369i	0.187965	+	0.982176i	$0.439811\pi$
$80$	5.62202	−	8.66802i	0.628561	−	0.969114i
$81$	2.09858	−	9.19448i	0.233176	−	1.02161i
$82$	6.42282	−	9.53798i	0.709282	−	1.05329i
$83$	−2.57670	−	5.35058i	−0.282830	−	0.587303i	0.710356	−	0.703843i	$-0.248534\pi$
$83$	−2.57670	−	5.35058i	−0.282830	−	0.587303i	−0.993186	+	0.116540i	$0.962820\pi$
$84$	−11.0173	+	19.5999i	−1.20208	+	2.13852i
$85$	−4.12143	−	18.0572i	−0.447032	−	1.95858i
$86$	−1.05756	+	0.992654i	−0.114039	+	0.107041i
$87$	−7.82126	+	10.4135i	−0.838527	+	1.11644i
$88$	4.66760	+	5.65012i	0.497567	+	0.602304i
$89$	4.44398	−	1.01431i	0.471060	−	0.107516i	0.0196006	−	0.999808i	$-0.493761\pi$
$89$	4.44398	−	1.01431i	0.471060	−	0.107516i	0.451460	+	0.892291i	$0.350903\pi$
$90$	−3.12430	−	9.92564i	−0.329330	−	1.04625i
$91$	6.01603	+	12.4924i	0.630652	+	1.30956i
$92$	5.87458	−	0.954704i	0.612467	−	0.0995348i
$93$	0.819322	+	0.187005i	0.0849597	+	0.0193915i
$94$	−3.89610	−	12.3776i	−0.401852	−	1.27665i
$95$	6.08040	−	4.84895i	0.623835	−	0.497492i
$96$	13.1834	+	3.65477i	1.34552	+	0.373013i
$97$	−4.73524	−	9.83283i	−0.480791	−	0.998373i	−0.990434	−	0.137987i	$-0.955937\pi$
$97$	−4.73524	−	9.83283i	−0.480791	−	0.998373i	0.509643	−	0.860386i	$-0.329778\pi$
$98$	1.66242	+	20.5929i	0.167929	+	2.08020i
$99$	7.38133			0.741852
$100$	2.47638	+	2.24528i	0.247638	+	0.224528i
$101$	−0.270098	+	1.18338i	−0.0268758	+	0.117750i	−0.986586	−	0.163240i	$-0.947806\pi$
$101$	−0.270098	+	1.18338i	−0.0268758	+	0.117750i	0.959711	+	0.280990i	$0.0906628\pi$
$102$	21.1687	−	12.3847i	2.09602	−	1.22627i
$103$	−6.13261	+	7.69005i	−0.604264	+	0.757723i	−0.986036	−	0.166533i	$-0.946743\pi$
$103$	−6.13261	+	7.69005i	−0.604264	+	0.757723i	0.381772	+	0.924257i	$0.375314\pi$
$104$	6.50423	−	5.37318i	0.637792	−	0.526884i
$105$	−22.7021	−	18.1043i	−2.21550	−	1.76680i
$106$	−14.8122	−	5.71525i	−1.43869	−	0.555114i
$107$	1.14468	−	0.912850i	0.110660	−	0.0882485i	−0.566596	−	0.823995i	$-0.691740\pi$
$107$	1.14468	−	0.912850i	0.110660	−	0.0882485i	0.677257	+	0.735747i	$0.263169\pi$
$108$	−0.599754	+	0.419095i	−0.0577114	+	0.0403274i
$109$	1.29329	−	2.68555i	0.123875	−	0.257229i	−0.829804	−	0.558055i	$-0.811548\pi$
$109$	1.29329	−	2.68555i	0.123875	−	0.257229i	0.953679	+	0.300826i	$0.0972622\pi$
$110$	−8.16929	+	4.77941i	−0.778911	+	0.455699i
$111$	−3.50251	−	15.3455i	−0.332444	−	1.45653i
$112$	17.6372	−	5.88810i	1.66656	−	0.556373i
$113$	−0.0375369	+	0.0779462i	−0.00353118	+	0.00733256i	−0.902727	−	0.430214i	$-0.858438\pi$
$113$	−0.0375369	+	0.0779462i	−0.00353118	+	0.00733256i	0.899196	+	0.437546i	$0.144152\pi$
$114$	8.54193	+	5.75208i	0.800025	+	0.538732i
$115$			7.68625i			0.716747i
$116$	10.5763	−	2.03533i	0.981982	−	0.188976i
$117$		−	8.49715i		−	0.785561i
$118$	1.91336	−	2.84137i	0.176139	−	0.261569i
$119$	14.4630	−	30.0327i	1.32582	−	2.75310i
$120$	−7.38991	+	16.0481i	−0.674603	+	1.46498i
$121$	0.953773	+	4.17875i	0.0867067	+	0.379887i
$122$	3.88215	+	6.63562i	0.351473	+	0.600761i
$123$	−8.53193	+	17.7167i	−0.769298	+	1.59746i
$124$	−0.398086	−	0.569689i	−0.0357491	−	0.0511596i
$125$	6.72183	−	5.36048i	0.601219	−	0.479456i
$126$	6.74154	−	17.4721i	0.600584	−	1.55653i
$127$	6.49470	+	5.17935i	0.576312	+	0.459593i	0.867753	−	0.496996i	$-0.165563\pi$
$127$	6.49470	+	5.17935i	0.576312	+	0.459593i	−0.291442	+	0.956589i	$0.594135\pi$
$128$	−6.04674	−	9.56226i	−0.534462	−	0.845193i
$129$	1.54649	−	1.93923i	0.136161	−	0.170740i
$130$	5.50190	+	9.40421i	0.482549	+	0.824804i
$131$	−3.18501	+	13.9544i	−0.278275	+	1.21920i	0.621698	+	0.783257i	$0.286443\pi$
$131$	−3.18501	+	13.9544i	−0.278275	+	1.21920i	−0.899973	+	0.435946i	$0.856414\pi$
$132$	−9.28459	−	8.41812i	−0.808120	−	0.732704i
$133$	13.9967			1.21367
$134$	−7.08297	+	0.571791i	−0.611875	+	0.0493952i
$135$	−0.409985	−	0.851342i	−0.0352859	−	0.0732718i
$136$	−19.8486	−	4.17128i	−1.70201	−	0.357684i
$137$	15.0765	−	12.0231i	1.28807	−	1.02720i	0.290551	−	0.956859i	$-0.406161\pi$
$137$	15.0765	−	12.0231i	1.28807	−	1.02720i	0.997523	−	0.0703455i	$-0.0224102\pi$
$138$	−9.70819	+	3.05586i	−0.826416	+	0.260132i
$139$	−13.8940	−	3.17121i	−1.17847	−	0.268978i	−0.411955	−	0.911204i	$-0.635154\pi$
$139$	−13.8940	−	3.17121i	−1.17847	−	0.268978i	−0.766515	+	0.642226i	$0.778011\pi$
$140$	3.85197	+	23.7023i	0.325551	+	2.00321i
$141$	9.62808	+	19.9929i	0.810831	+	1.68371i
$142$	−0.594626	+	0.187171i	−0.0498999	+	0.0157070i
$143$	−7.53491	+	1.71979i	−0.630101	+	0.143816i
$144$	−11.3037	−	1.43860i	−0.941978	−	0.119883i
$145$	0.403496	+	13.9035i	0.0335086	+	1.15462i
$146$	−9.72415	−	10.3600i	−0.804776	−	0.857396i
$147$	−7.86167	−	34.4442i	−0.648420	−	2.84091i
$148$	−6.37832	+	11.3471i	−0.524295	+	0.932727i
$149$	3.80599	+	7.90321i	0.311799	+	0.647457i	0.996699	−	0.0811797i	$-0.0258688\pi$
$149$	3.80599	+	7.90321i	0.311799	+	0.647457i	−0.684901	+	0.728636i	$0.740154\pi$
$150$	−4.74147	−	3.19288i	−0.387139	−	0.260697i
$151$	−3.19135	+	13.9822i	−0.259708	+	1.13786i	0.661856	+	0.749631i	$0.269769\pi$
$151$	−3.19135	+	13.9822i	−0.259708	+	1.13786i	−0.921564	+	0.388226i	$0.873088\pi$
$152$	−2.03809	−	8.26895i	−0.165311	−	0.670700i
$153$	−15.9711	+	12.7365i	−1.29119	+	1.02969i
$154$	−16.8579	−	2.44182i	−1.35845	−	0.196768i
$155$	0.808664	−	0.389432i	0.0649535	−	0.0312799i
$156$	−9.69067	+	10.6881i	−0.775874	+	0.855734i
$157$	−4.80092			−0.383155			−0.191578	−	0.981477i	$-0.561360\pi$
$157$	−4.80092			−0.383155			−0.191578	+	0.981477i	$0.561360\pi$
$158$	−11.6625	+	0.941488i	−0.927820	+	0.0749008i
$159$	26.4695	+	6.04149i	2.09917	+	0.479121i
$160$	13.4419	−	5.72700i	1.06268	−	0.452759i
$161$	−8.62485	+	10.8152i	−0.679734	+	0.852359i
$162$	9.72462	−	9.12780i	0.764038	−	0.717148i
$163$	4.33924	−	5.44124i	0.339876	−	0.426191i	−0.582293	−	0.812979i	$-0.697844\pi$
$163$	4.33924	−	5.44124i	0.339876	−	0.426191i	0.922168	+	0.386789i	$0.126416\pi$
$164$	15.0685	−	6.11495i	1.17665	−	0.477497i
$165$	12.6542	−	10.0914i	0.985128	−	0.785613i
$166$	1.20395	−	8.31185i	0.0934443	−	0.645124i
$167$	12.0153	+	5.78629i	0.929775	+	0.447756i	0.836551	−	0.547889i	$-0.184568\pi$
$167$	12.0153	+	5.78629i	0.929775	+	0.447756i	0.0932244	+	0.995645i	$0.470283\pi$
$168$	−28.4060	+	14.2887i	−2.19157	+	1.10240i
$169$	−0.913002	−	4.00012i	−0.0702309	−	0.307702i
$170$	9.42910	−	24.4374i	0.723179	−	1.87426i
$171$	−7.72810	−	3.72166i	−0.590982	−	0.284602i
$172$	−2.02468	+	0.329039i	−0.154380	+	0.0250890i
$173$			2.02441i			0.153913i	0.997034	+	0.0769565i	$0.0245203\pi$
$173$			2.02441i			0.153913i	−0.997034	+	0.0769565i	$0.975480\pi$
$174$	−17.4005	+	6.03731i	−1.31913	+	0.457687i
$175$	−7.76933			−0.587306
$176$	1.01215	+	10.3148i	0.0762936	+	0.777511i
$177$	−2.54166	+	5.27781i	−0.191043	+	0.396705i
$178$	6.01419	+	2.32056i	0.450783	+	0.173933i
$179$	−16.3581	+	3.73362i	−1.22266	+	0.279064i	−0.784669	−	0.619915i	$-0.787167\pi$
$179$	−16.3581	+	3.73362i	−1.22266	+	0.279064i	−0.437991	+	0.898979i	$0.644310\pi$
$180$	4.17551	−	14.1111i	0.311224	−	1.05178i
$181$	0.112869	−	0.234374i	0.00838945	−	0.0174209i	−0.896732	−	0.442574i	$-0.854065\pi$
$181$	0.112869	−	0.234374i	0.00838945	−	0.0174209i	0.905121	+	0.425153i	$0.139780\pi$
$182$	−2.81095	+	19.4063i	−0.208361	+	1.43849i
$183$	−8.19687	−	10.2786i	−0.605930	−	0.759813i
$184$	7.64527	+	3.52054i	0.563617	+	0.259537i
$185$	−13.1431	−	10.4813i	−0.966301	−	0.770599i
$186$	0.813380	+	0.866563i	0.0596399	+	0.0635395i
$187$	14.5267	+	11.5847i	1.06230	+	0.847154i
$188$	5.20700	−	17.5970i	0.379759	−	1.28340i
$189$	0.378419	−	1.65796i	0.0275259	−	0.120599i
$190$	10.9628	−	0.885004i	0.795328	−	0.0642050i
$191$			7.93615i			0.574240i	0.957895	+	0.287120i	$0.0926978\pi$
$191$			7.93615i			0.574240i	−0.957895	+	0.287120i	$0.907302\pi$
$192$	12.5777	+	14.7010i	0.907718	+	1.06095i
$193$	−0.560680	−	1.16426i	−0.0403586	−	0.0838056i	0.879815	−	0.475317i	$-0.157667\pi$
$193$	−0.560680	−	1.16426i	−0.0403586	−	0.0838056i	−0.920173	+	0.391511i	$0.871952\pi$
$194$	2.21251	−	15.2748i	0.158849	−	1.09667i
$195$	−11.6169	−	14.5671i	−0.831901	−	1.04317i
$196$	−14.3166	+	25.4695i	−1.02262	+	1.81925i
$197$	−9.28239	−	2.11864i	−0.661343	−	0.150947i	−0.121341	−	0.992611i	$-0.538719\pi$
$197$	−9.28239	−	2.11864i	−0.661343	−	0.150947i	−0.540002	+	0.841664i	$0.681576\pi$
$198$	8.65861	+	5.83066i	0.615341	+	0.414367i
$199$	−10.5926	+	5.10111i	−0.750887	+	0.361608i	−0.769861	−	0.638212i	$-0.779674\pi$
$199$	−10.5926	+	5.10111i	−0.750887	+	0.361608i	0.0189737	+	0.999820i	$0.493960\pi$
$200$	1.13131	+	4.58994i	0.0799956	+	0.324558i
$201$	11.8472	−	2.70404i	0.835634	−	0.190728i
$202$	−1.25161	+	1.17479i	−0.0880628	+	0.0826583i
$203$	−15.0335	+	20.0162i	−1.05515	+	1.40486i
$204$	34.6147	+	2.19382i	2.42351	+	0.153598i
$205$	4.67327	+	20.4749i	0.326395	+	1.43003i
$206$	−13.2683	+	4.17649i	−0.924448	+	0.290990i
$207$	7.63780	−	3.67817i	0.530864	−	0.255651i
$208$	11.8741	−	1.16515i	0.823321	−	0.0807888i
$209$	−1.73607	+	7.60620i	−0.120086	+	0.526132i
$210$	−12.3296	−	39.1699i	−0.850820	−	2.70298i
$211$	−11.0021	−	13.7962i	−0.757414	−	0.949767i	0.242378	−	0.970182i	$-0.422073\pi$
$211$	−11.0021	−	13.7962i	−0.757414	−	0.949767i	−0.999792	+	0.0204153i	$0.993501\pi$
$212$	−12.8608	−	18.4047i	−0.883283	−	1.26404i
$213$	0.960471	−	0.462538i	0.0658104	−	0.0316926i
$214$	2.06383	−	0.166608i	0.141081	−	0.0113891i
$215$		−	2.64907i		−	0.180665i
$216$	−1.03459	+	0.0178581i	−0.0703948	+	0.00121509i
$217$	1.57485	+	0.359449i	0.106908	+	0.0244010i
$218$	3.63846	−	2.12867i	0.246427	−	0.144171i
$219$	18.9970	+	15.1496i	1.28370	+	1.02371i
$220$	−13.3583	−	0.846623i	−0.900614	−	0.0570793i
$221$	13.3359	−	16.7227i	0.897068	−	1.12489i
$222$	8.01312	−	20.7676i	0.537805	−	1.39383i
$223$	16.2048	+	20.3202i	1.08516	+	1.36074i	0.927747	+	0.373209i	$0.121743\pi$
$223$	16.2048	+	20.3202i	1.08516	+	1.36074i	0.157409	+	0.987534i	$0.449686\pi$
$224$	25.3403	+	7.02496i	1.69312	+	0.469375i
$225$	4.28973	+	2.06582i	0.285982	+	0.137722i
$226$	−0.105604	+	0.0617830i	−0.00702464	+	0.00410975i
$227$	27.9993	−	6.39065i	1.85838	−	0.424162i	0.861829	−	0.507199i	$-0.169319\pi$
$227$	27.9993	−	6.39065i	1.85838	−	0.424162i	0.996546	+	0.0830368i	$0.0264619\pi$
$228$	5.47636	+	13.4949i	0.362681	+	0.893720i
$229$	8.85382	+	4.26378i	0.585077	+	0.281758i	0.702914	−	0.711275i	$-0.251882\pi$
$229$	8.85382	+	4.26378i	0.585077	+	0.281758i	−0.117837	+	0.993033i	$0.537596\pi$
$230$	−6.07152	+	9.01629i	−0.400344	+	0.594517i
$231$	29.1292			1.91656
$232$	14.0142	+	5.96687i	0.920074	+	0.391744i
$233$	−15.0661			−0.987010			−0.493505	−	0.869743i	$-0.664284\pi$
$233$	−15.0661			−0.987010			−0.493505	+	0.869743i	$0.664284\pi$
$234$	6.71206	−	9.96751i	0.438781	−	0.651596i
$235$	21.3527	+	10.2829i	1.39290	+	0.670783i
$236$	4.48890	−	1.82164i	0.292202	−	0.118579i
$237$	19.5070	−	4.45235i	1.26712	−	0.289211i
$238$	40.6891	−	23.8051i	2.63749	−	1.54305i
$239$	−6.40365	−	3.08384i	−0.414218	−	0.199477i	0.215156	−	0.976580i	$-0.430974\pi$
$239$	−6.40365	−	3.08384i	−0.414218	−	0.199477i	−0.629373	+	0.777103i	$0.716688\pi$
$240$	−21.3454	+	12.9876i	−1.37784	+	0.838348i
$241$	17.7137	+	22.2123i	1.14104	+	1.43082i	0.885878	+	0.463918i	$0.153557\pi$
$241$	17.7137	+	22.2123i	1.14104	+	1.43082i	0.255161	+	0.966899i	$0.417872\pi$
$242$	−2.18206	+	5.65526i	−0.140268	+	0.363534i
$243$	−13.5362	+	16.9739i	−0.868348	+	1.08887i
$244$	−0.687682	+	10.8504i	−0.0440243	+	0.694629i
$245$	−29.5008	−	23.5261i	−1.88474	−	1.50303i
$246$	−24.0031	+	14.0429i	−1.53038	+	0.895345i
$247$	8.75601	+	1.99850i	0.557131	+	0.127162i
$248$	−0.0169629	−	0.982724i	−0.00107715	−	0.0624031i
$249$			14.3622i			0.910170i
$250$	12.1193	−	0.978366i	0.766494	−	0.0618773i
$251$	4.66676	−	2.24739i	0.294563	−	0.141854i	−0.280766	−	0.959776i	$-0.590588\pi$
$251$	4.66676	−	2.24739i	0.294563	−	0.141854i	0.575329	+	0.817922i	$0.304874\pi$
$252$	21.7096	−	15.1702i	1.36758	−	0.955632i
$253$	−4.80751	−	6.02843i	−0.302246	−	0.379004i
$254$	3.52729	+	11.2059i	0.221322	+	0.703120i
$255$	−9.96733	+	43.6697i	−0.624178	+	2.73470i
$256$	0.460333	−	15.9934i	0.0287708	−	0.999586i
$257$	22.4203	−	10.7970i	1.39854	−	0.673501i	0.425675	−	0.904876i	$-0.360037\pi$
$257$	22.4203	−	10.7970i	1.39854	−	0.673501i	0.972865	+	0.231375i	$0.0743224\pi$
$258$	3.34593	−	1.05320i	0.208309	−	0.0655695i
$259$	−6.73231	−	29.4962i	−0.418325	−	1.83280i
$260$	−0.974605	+	15.3776i	−0.0604424	+	0.953678i
$261$	13.6227	−	7.05431i	0.843227	−	0.436651i
$262$	−14.7590	+	13.8532i	−0.911815	+	0.855855i
$263$	−5.88182	+	1.34249i	−0.362688	+	0.0827813i	−0.399982	−	0.916523i	$-0.630984\pi$
$263$	−5.88182	+	1.34249i	−0.362688	+	0.0827813i	0.0372933	+	0.999304i	$0.488126\pi$
$264$	−4.24157	−	17.2089i	−0.261051	−	1.05913i
$265$	26.1252	−	12.5812i	1.60486	−	0.772859i
$266$	16.4188	+	11.0563i	1.00670	+	0.677904i
$267$	−10.7474	−	2.45302i	−0.657729	−	0.150122i
$268$	−8.76029	−	4.92424i	−0.535120	−	0.300796i
$269$	−12.8074	−	16.0599i	−0.780878	−	0.979190i	−0.999994	−	0.00349119i	$-0.998889\pi$
$269$	−12.8074	−	16.0599i	−0.780878	−	0.979190i	0.219116	−	0.975699i	$-0.429683\pi$
$270$	0.191562	−	1.32251i	0.0116581	−	0.0804857i
$271$	−1.51940	−	3.15508i	−0.0922972	−	0.191657i	0.849710	−	0.527251i	$-0.176777\pi$
$271$	−1.51940	−	3.15508i	−0.0922972	−	0.191657i	−0.942007	+	0.335594i	$0.891063\pi$
$272$	−19.9883	−	20.5719i	−1.21197	−	1.24736i
$273$		−	33.5326i		−	2.02949i
$274$	27.1827	−	2.19439i	1.64217	−	0.132568i
$275$	0.963658	−	4.22206i	0.0581108	−	0.254600i
$276$	−13.8020	−	4.08404i	−0.830783	−	0.245830i
$277$	−8.51714	−	6.79220i	−0.511746	−	0.408103i	0.333281	−	0.942827i	$-0.391844\pi$
$277$	−8.51714	−	6.79220i	−0.511746	−	0.408103i	−0.845027	+	0.534724i	$0.820416\pi$
$278$	−13.7932	−	14.6951i	−0.827261	−	0.881351i
$279$	−0.773955	−	0.617208i	−0.0463355	−	0.0369513i
$280$	−14.2044	+	30.8466i	−0.848876	+	1.84344i
$281$	−4.18033	−	5.24197i	−0.249377	−	0.312709i	0.641349	−	0.767249i	$-0.278375\pi$
$281$	−4.18033	−	5.24197i	−0.249377	−	0.312709i	−0.890726	+	0.454540i	$0.849804\pi$
$282$	−4.49865	+	31.0579i	−0.267891	+	1.84947i
$283$	−4.30564	+	8.94076i	−0.255944	+	0.531473i	−0.988860	−	0.148845i	$-0.952444\pi$
$283$	−4.30564	+	8.94076i	−0.255944	+	0.531473i	0.732916	+	0.680319i	$0.238159\pi$
$284$	−0.845371	−	0.250147i	−0.0501636	−	0.0148435i
$285$	−18.3367	+	4.18524i	−1.08617	+	0.247912i
$286$	−10.1973	−	3.93458i	−0.602977	−	0.232657i
$287$	−16.3995	+	34.0540i	−0.968033	+	2.01014i
$288$	−12.1234	−	10.6166i	−0.714377	−	0.625588i
$289$	−34.4210			−2.02476
$290$	−10.5093	+	16.6281i	−0.617127	+	0.976435i
$291$			26.3937i			1.54722i
$292$	−3.22330	−	19.8340i	−0.188630	−	1.16069i
$293$	−3.05675	−	1.47205i	−0.178577	−	0.0859982i	0.342459	−	0.939533i	$-0.388740\pi$
$293$	−3.05675	−	1.47205i	−0.178577	−	0.0859982i	−0.521036	+	0.853535i	$0.674454\pi$
$294$	17.9861	−	46.6146i	1.04897	−	2.71862i
$295$	1.39217	+	6.09948i	0.0810551	+	0.355126i
$296$	−16.4453	+	8.27229i	−0.955866	+	0.480817i
$297$	0.854045	+	0.411286i	0.0495567	+	0.0238653i
$298$	−1.77832	+	12.2772i	−0.103015	+	0.711201i
$299$	−6.93973	+	5.53425i	−0.401335	+	0.320054i
$300$	−3.03983	−	7.49076i	−0.175505	−	0.432479i
$301$	2.97256	−	3.72747i	0.171335	−	0.214848i
$302$	−14.7884	+	13.8808i	−0.850978	+	0.798751i
$303$	1.83025	−	2.29506i	0.105145	−	0.131848i
$304$	4.14103	−	11.3097i	0.237504	−	0.648659i
$305$	−13.6889	−	3.12440i	−0.783823	−	0.178902i
$306$	−28.7956	+	2.32460i	−1.64613	+	0.132888i
$307$	24.1185			1.37652			0.688258	−	0.725466i	$-0.258376\pi$
$307$	24.1185			1.37652			0.688258	+	0.725466i	$0.258376\pi$
$308$	−17.8462	−	16.1808i	−1.01688	−	0.921985i
$309$	21.4317	−	10.3210i	1.21921	−	0.587139i
$310$	1.25622	+	0.181959i	0.0713483	+	0.0103346i
$311$	6.49411	−	5.17888i	0.368247	−	0.293667i	−0.421830	−	0.906675i	$-0.638612\pi$
$311$	6.49411	−	5.17888i	0.368247	−	0.293667i	0.790077	+	0.613008i	$0.210041\pi$
$312$	−19.8103	+	4.88276i	−1.12154	+	0.276432i
$313$	1.17837	−	5.16278i	0.0666054	−	0.291817i	−0.930645	−	0.365923i	$-0.880753\pi$
$313$	1.17837	−	5.16278i	0.0666054	−	0.291817i	0.997250	+	0.0741061i	$0.0236103\pi$
$314$	−5.63169	−	3.79234i	−0.317814	−	0.214014i
$315$	14.8404	+	30.8165i	0.836163	+	1.73631i
$316$	−14.4243	−	8.10805i	−0.811432	−	0.456113i
$317$	1.61508	+	7.07612i	0.0907118	+	0.397434i	0.999817	−	0.0191324i	$-0.00609039\pi$
$317$	1.61508	+	7.07612i	0.0907118	+	0.397434i	−0.909105	+	0.416567i	$0.863233\pi$
$318$	26.2776	+	27.9957i	1.47357	+	1.56992i
$319$	−9.01266	−	10.6523i	−0.504612	−	0.596415i
$320$	20.2918	+	3.90000i	1.13435	+	0.218017i
$321$	−3.45202	+	0.787901i	−0.192673	+	0.0439763i
$322$	−18.6605	+	5.87377i	−1.03991	+	0.327333i
$323$	−9.36818	−	19.4532i	−0.521260	−	1.08241i
$324$	18.6176	−	3.02563i	1.03431	−	0.168091i
$325$	−4.86030	−	1.10933i	−0.269601	−	0.0615347i
$326$	9.38825	−	2.95515i	0.519967	−	0.163671i
$327$	−5.63595	+	4.49452i	−0.311669	+	0.248548i
$328$	22.5063	+	4.72979i	1.24270	+	0.261159i
$329$	18.5065	+	38.4291i	1.02030	+	2.11866i
$330$	22.8153	−	1.84182i	1.25594	−	0.101389i
$331$	−21.8508			−1.20103			−0.600515	−	0.799613i	$-0.705038\pi$
$331$	−21.8508			−1.20103			−0.600515	+	0.799613i	$0.705038\pi$
$332$	7.97797	−	8.79912i	0.437848	−	0.482915i
$333$	−4.12572	+	18.0760i	−0.226088	+	0.990557i
$334$	9.52381	+	16.2787i	0.521120	+	0.890731i
$335$	8.09184	−	10.1468i	0.442104	−	0.554381i
$336$	−44.6084	−	5.67721i	−2.43359	−	0.309717i
$337$	−27.1806	−	21.6758i	−1.48062	−	1.18076i	−0.940792	−	0.338985i	$-0.889916\pi$
$337$	−27.1806	−	21.6758i	−1.48062	−	1.18076i	−0.539832	−	0.841773i	$-0.681512\pi$
$338$	2.08878	−	5.41351i	0.113615	−	0.294456i
$339$	0.163580	−	0.130450i	0.00888442	−	0.00708509i
$340$	30.3643	−	21.2179i	1.64674	−	1.15070i
$341$	−0.390668	+	0.811231i	−0.0211559	+	0.0439306i
$342$	−6.12557	−	10.4702i	−0.331233	−	0.566165i
$343$	−7.87045	−	34.4827i	−0.424964	−	1.86189i
$344$	−2.63494	−	1.21335i	−0.142067	−	0.0654197i
$345$	8.06527	−	16.7477i	0.434219	−	0.901666i
$346$	−1.59912	+	2.37472i	−0.0859692	+	0.127666i
$347$			2.98196i			0.160080i	0.996792	+	0.0800401i	$0.0255048\pi$
$347$			2.98196i			0.160080i	−0.996792	+	0.0800401i	$0.974495\pi$
$348$	−25.1805	−	6.66297i	−1.34982	−	0.357173i
$349$			11.9991i			0.642296i	0.947029	+	0.321148i	$0.104069\pi$
$349$			11.9991i			0.642296i	−0.947029	+	0.321148i	$0.895931\pi$
$350$	−9.11375	−	6.13714i	−0.487150	−	0.328044i
$351$	0.473459	−	0.983148i	0.0252714	−	0.0524766i
$352$	−6.96060	+	12.8993i	−0.371001	+	0.687533i
$353$	−0.131107	−	0.574418i	−0.00697813	−	0.0305732i	0.971319	−	0.237780i	$-0.0764198\pi$
$353$	−0.131107	−	0.574418i	−0.00697813	−	0.0305732i	−0.978297	+	0.207207i	$0.933563\pi$
$354$	−7.15052	+	4.18339i	−0.380046	+	0.222345i
$355$	0.493997	−	1.02579i	0.0262186	−	0.0544435i
$356$	5.22185	+	7.47284i	0.276757	+	0.396059i
$357$	−63.0273	+	50.2626i	−3.33576	+	2.66018i
$358$	−22.1380	−	8.54186i	−1.17003	−	0.451451i
$359$	1.93255	+	1.54116i	0.101996	+	0.0813392i	0.673160	−	0.739497i	$-0.264937\pi$
$359$	1.93255	+	1.54116i	0.101996	+	0.0813392i	−0.571164	+	0.820836i	$0.693508\pi$
$360$	16.0447	−	13.2546i	0.845630	−	0.698580i
$361$	−6.19365	+	7.76659i	−0.325981	+	0.408768i
$362$	0.317536	−	0.185773i	0.0166893	−	0.00976404i
$363$	2.30662	−	10.1060i	0.121066	−	0.530425i
$364$	−18.6268	+	20.5440i	−0.976309	+	1.07680i
$365$	25.9506			1.35832
$366$	−1.49605	−	18.5320i	−0.0781997	−	0.968686i
$367$	−7.17523	−	14.8995i	−0.374544	−	0.777749i	0.625453	−	0.780262i	$-0.284914\pi$
$367$	−7.17523	−	14.8995i	−0.374544	−	0.777749i	−0.999997	+	0.00251334i	$0.999200\pi$
$368$	6.18728	+	10.1689i	0.322534	+	0.530090i
$369$	18.1095	−	14.4419i	0.942745	−	0.751814i
$370$	−7.13806	−	22.6770i	−0.371090	−	1.17892i
$371$	50.8780	+	11.6126i	2.64145	+	0.602895i
$372$	0.269615	+	1.65902i	0.0139789	+	0.0860162i
$373$	4.30257	+	8.93438i	0.222779	+	0.462605i	0.982161	−	0.188039i	$-0.0602133\pi$
$373$	4.30257	+	8.93438i	0.222779	+	0.462605i	−0.759383	+	0.650644i	$0.774499\pi$
$374$	7.88949	+	25.0642i	0.407956	+	1.29604i
$375$	−20.2711	+	4.62675i	−1.04680	+	0.238924i
$376$	20.0083	−	16.5289i	1.03185	−	0.852415i
$377$	−12.2626	+	10.3751i	−0.631555	+	0.534344i
$378$	1.75356	−	1.64594i	0.0901933	−	0.0846579i
$379$	−4.58043	−	20.0682i	−0.235281	−	1.03083i	−0.945185	−	0.326535i	$-0.894119\pi$
$379$	−4.58043	−	20.0682i	−0.235281	−	1.03083i	0.709904	−	0.704298i	$-0.248738\pi$
$380$	13.5590	+	7.62161i	0.695560	+	0.390981i
$381$	−8.71666	−	18.1003i	−0.446568	−	0.927308i
$382$	−6.26892	+	9.30944i	−0.320746	+	0.476312i
$383$	8.30217	−	36.3742i	0.424221	−	1.85863i	−0.0825995	−	0.996583i	$-0.526322\pi$
$383$	8.30217	−	36.3742i	0.424221	−	1.85863i	0.506821	−	0.862051i	$-0.330821\pi$
$384$	3.14156	+	27.1803i	0.160317	+	1.38704i
$385$	24.3231	−	19.3970i	1.23962	−	0.988563i
$386$	0.261974	−	1.80862i	0.0133341	−	0.0920565i
$387$	−2.63237	+	1.26768i	−0.133811	+	0.0644399i
$388$	14.6612	−	16.1703i	0.744310	−	0.820921i
$389$	28.1738			1.42847			0.714234	−	0.699907i	$-0.246775\pi$
$389$	28.1738			1.42847			0.714234	+	0.699907i	$0.246775\pi$
$390$	−2.12025	−	26.2642i	−0.107363	−	1.32994i
$391$	20.8042	+	4.74841i	1.05211	+	0.240138i
$392$	−36.9129	+	18.5678i	−1.86438	+	0.937816i
$393$	21.5824	−	27.0634i	1.08869	−	1.36517i
$394$	−9.21507	−	9.81759i	−0.464249	−	0.494603i
$395$	13.3237	−	16.7074i	0.670387	−	0.840639i
$396$	5.55117	+	13.6792i	0.278957	+	0.687406i
$397$	−16.2780	+	12.9813i	−0.816971	+	0.651512i	−0.940108	−	0.340877i	$-0.889276\pi$
$397$	−16.2780	+	12.9813i	−0.816971	+	0.651512i	0.123137	+	0.992390i	$0.460705\pi$
$398$	−16.4550	−	2.38346i	−0.824814	−	0.119472i
$399$	−30.4977	−	14.6869i	−1.52679	−	0.735266i
$400$	−2.29861	+	6.27783i	−0.114931	+	0.313892i
$401$	4.01846	+	17.6060i	0.200673	+	0.879204i	0.970529	+	0.240986i	$0.0774708\pi$
$401$	4.01846	+	17.6060i	0.200673	+	0.879204i	−0.769856	+	0.638218i	$0.779672\pi$
$402$	16.0332	+	6.18635i	0.799662	+	0.308547i
$403$	0.933863	+	0.449725i	0.0465190	+	0.0224024i
$404$	−2.39618	+	0.389414i	−0.119215	+	0.0193741i
$405$			24.3591i			1.21041i
$406$	−33.4461	+	11.6045i	−1.65990	+	0.575923i
$407$	16.8640			0.835920
$408$	38.8716	+	29.9163i	1.92443	+	1.48108i
$409$	−9.85867	+	20.4717i	−0.487480	+	1.01226i	0.501630	+	0.865082i	$0.332734\pi$
$409$	−9.85867	+	20.4717i	−0.487480	+	1.01226i	−0.989110	+	0.147180i	$0.952980\pi$
$410$	−10.6916	+	27.7095i	−0.528021	+	1.36847i
$411$	−45.4665	+	10.3774i	−2.24270	+	0.511881i
$412$	−18.8634	−	5.58172i	−0.929333	−	0.274992i
$413$	−4.88542	+	10.1447i	−0.240396	+	0.499187i
$414$	11.8649	+	1.71860i	0.583129	+	0.0844645i
$415$	9.56374	+	11.9925i	0.469465	+	0.588691i
$416$	14.8492	+	8.01282i	0.728042	+	0.392861i
$417$	26.9462	+	21.4889i	1.31956	+	1.05231i
$418$	−8.04476	+	7.55104i	−0.393482	+	0.369334i
$419$	−13.8233	−	11.0237i	−0.675314	−	0.538545i	0.224688	−	0.974431i	$-0.427864\pi$
$419$	−13.8233	−	11.0237i	−0.675314	−	0.538545i	−0.900002	+	0.435886i	$0.856435\pi$
$420$	16.4780	−	55.6873i	0.804044	−	2.71726i
$421$	6.36985	−	27.9081i	0.310448	−	1.36016i	−0.543329	−	0.839520i	$-0.682836\pi$
$421$	6.36985	−	27.9081i	0.310448	−	1.36016i	0.853776	−	0.520640i	$-0.174307\pi$
$422$	−2.00804	−	24.8742i	−0.0977497	−	1.21086i
$423$		−	26.1389i		−	1.27091i
$424$	−0.548014	−	31.7485i	−0.0266139	−	1.54184i
$425$	5.20011	+	10.7981i	0.252242	+	0.523786i
$426$	1.49204	+	0.216118i	0.0722896	+	0.0104709i
$427$	−15.7555	−	19.7568i	−0.762462	−	0.956098i
$428$	2.55257	+	1.43482i	0.123383	+	0.0693548i
$429$	18.2225	+	4.15917i	0.879792	+	0.200807i
$430$	2.09255	−	3.10747i	0.100912	−	0.149855i
$431$	−11.4970	+	5.53668i	−0.553793	+	0.266693i	−0.689781	−	0.724018i	$-0.742293\pi$
$431$	−11.4970	+	5.53668i	−0.553793	+	0.266693i	0.135988	+	0.990710i	$0.456579\pi$
$432$	−1.22772	−	0.796293i	−0.0590688	−	0.0383117i
$433$	−35.4331	+	8.08737i	−1.70281	+	0.388654i	−0.959812	−	0.280644i	$-0.909452\pi$
$433$	−35.4331	+	8.08737i	−1.70281	+	0.388654i	−0.742994	+	0.669298i	$0.766595\pi$
$434$	1.56343	+	1.66565i	0.0750469	+	0.0799538i
$435$	13.7099	−	30.7179i	0.657338	−	1.47281i
$436$	5.94954	+	0.377071i	0.284931	+	0.0180584i
$437$	1.99384	+	8.73558i	0.0953783	+	0.417879i
$438$	10.3173	+	32.7771i	0.492979	+	1.56615i
$439$	−17.5602	+	8.45655i	−0.838103	+	0.403609i	−0.803148	−	0.595780i	$-0.796843\pi$
$439$	−17.5602	+	8.45655i	−0.838103	+	0.403609i	−0.0349554	+	0.999389i	$0.511129\pi$
$440$	−15.0010	−	11.5451i	−0.715147	−	0.550390i
$441$	−9.26052	+	40.5730i	−0.440977	+	1.93205i
$442$	28.8531	−	9.08212i	1.37240	−	0.431992i
$443$	−4.93952	−	6.19396i	−0.234683	−	0.294284i	0.650519	−	0.759490i	$-0.274552\pi$
$443$	−4.93952	−	6.19396i	−0.234683	−	0.294284i	−0.885202	+	0.465206i	$0.845980\pi$
$444$	25.8045	−	18.0316i	1.22463	−	0.855741i
$445$	−10.6076	+	5.10834i	−0.502847	+	0.242158i
$446$	2.95762	+	36.6370i	0.140047	+	1.73481i
$447$		−	21.2141i		−	1.00339i
$448$	24.1761	+	28.2574i	1.14221	+	1.33503i
$449$	−19.1003	−	4.35952i	−0.901399	−	0.205738i	−0.253384	−	0.967366i	$-0.581544\pi$
$449$	−19.1003	−	4.35952i	−0.901399	−	0.205738i	−0.648015	+	0.761627i	$0.724401\pi$
$450$	3.40019	+	5.81183i	0.160287	+	0.273972i
$451$	−16.4718	−	13.1358i	−0.775624	−	0.618540i
$452$	−0.172681	−	0.0109442i	−0.00812223	−	0.000514773i
$453$	21.6254	−	27.1174i	1.01605	−	1.27408i
$454$	37.8924	+	14.6207i	1.77838	+	0.686181i
$455$	−22.3292	−	27.9999i	−1.04681	−	1.31266i
$456$	−4.23586	+	20.1559i	−0.198362	+	0.943888i
$457$	−16.4074	−	7.90136i	−0.767504	−	0.369610i	0.00880668	−	0.999961i	$-0.497197\pi$
$457$	−16.4074	−	7.90136i	−0.767504	−	0.369610i	−0.776310	+	0.630351i	$0.782911\pi$
$458$	7.01787	+	11.9954i	0.327923	+	0.560508i
$459$	−2.55758	+	0.583752i	−0.119378	+	0.0272472i
$460$	−14.2443	+	5.78048i	−0.664143	+	0.269516i
$461$	−29.2132	−	14.0683i	−1.36059	−	0.655227i	−0.395824	−	0.918326i	$-0.629541\pi$
$461$	−29.2132	−	14.0683i	−1.36059	−	0.655227i	−0.964769	+	0.263099i	$0.915255\pi$
$462$	34.1698	+	23.0098i	1.58972	+	1.07051i
$463$	4.34003			0.201698			0.100849	−	0.994902i	$-0.467844\pi$
$463$	4.34003			0.201698			0.100849	+	0.994902i	$0.467844\pi$
$464$	11.7258	+	18.0694i	0.544359	+	0.838853i
$465$	−2.17065			−0.100661
$466$	−17.6731	−	11.9010i	−0.818691	−	0.551302i
$467$	13.5587	+	6.52954i	0.627423	+	0.302151i	0.720444	−	0.693513i	$-0.243938\pi$
$467$	13.5587	+	6.52954i	0.627423	+	0.302151i	−0.0930208	+	0.995664i	$0.529652\pi$
$468$	15.7471	−	6.39032i	0.727908	−	0.295393i
$469$	22.7718	−	5.19753i	1.05151	−	0.239999i
$470$	16.9249	+	28.9292i	0.780688	+	1.33440i
$471$	10.4608	+	5.03766i	0.482009	+	0.232123i
$472$	6.70462	+	1.40900i	0.308605	+	0.0648547i
$473$	1.65691	+	2.07770i	0.0761848	+	0.0955328i
$474$	26.3996	+	10.1862i	1.21257	+	0.467867i
$475$	−3.13769	+	3.93454i	−0.143967	+	0.180529i
$476$	66.5342	+	4.21682i	3.04959	+	0.193277i
$477$	−25.0038	−	19.9399i	−1.14485	−	0.912985i
$478$	−5.07577	−	8.67584i	−0.232160	−	0.396824i
$479$	−5.12664	−	1.17012i	−0.234242	−	0.0534642i	0.103788	−	0.994599i	$-0.466904\pi$
$479$	−5.12664	−	1.17012i	−0.234242	−	0.0534642i	−0.338030	+	0.941135i	$0.609761\pi$
$480$	−35.2982	−	1.62607i	−1.61113	−	0.0742197i
$481$		−	19.4133i		−	0.885172i
$482$	3.23300	+	40.0483i	0.147259	+	1.82415i
$483$	30.1414	−	14.5153i	1.37148	−	0.660470i
$484$	−7.02685	+	4.91020i	−0.319402	+	0.223191i
$485$	17.5754	+	22.0389i	0.798058	+	1.00073i
$486$	−29.2865	+	9.21855i	−1.32846	+	0.418162i
$487$	4.13049	−	18.0969i	0.187170	−	0.820048i	−0.790929	−	0.611908i	$-0.790402\pi$
$487$	4.13049	−	18.0969i	0.187170	−	0.820048i	0.978099	−	0.208139i	$-0.0667407\pi$
$488$	−9.37766	+	12.1848i	−0.424507	+	0.551581i
$489$	−15.1644	+	7.30279i	−0.685758	+	0.330243i
$490$	−16.0219	−	50.9003i	−0.723797	−	2.29944i
$491$	7.58523	+	33.2331i	0.342317	+	1.49979i	0.794171	+	0.607695i	$0.207906\pi$
$491$	7.58523	+	33.2331i	0.342317	+	1.49979i	−0.451854	+	0.892092i	$0.649237\pi$
$492$	−39.2494	−	2.48756i	−1.76950	−	0.112148i
$493$	37.8814	+	7.49716i	1.70609	+	0.337655i
$494$	8.69251	+	9.26087i	0.391095	+	0.416666i
$495$	−18.5872	+	4.24241i	−0.835433	+	0.190682i
$496$	0.756375	−	1.16618i	0.0339622	−	0.0523629i
$497$	1.84616	−	0.889062i	0.0828114	−	0.0398799i
$498$	−11.3450	+	16.8475i	−0.508382	+	0.754955i
$499$	−30.8393	−	7.03886i	−1.38055	−	0.315103i	−0.533137	−	0.846029i	$-0.678987\pi$
$499$	−30.8393	−	7.03886i	−1.38055	−	0.315103i	−0.847418	+	0.530926i	$0.821844\pi$
$500$	14.9893	+	8.42564i	0.670343	+	0.376806i
$501$	−20.1088	−	25.2157i	−0.898396	−	1.12655i
$502$	7.24956	+	1.05008i	0.323564	+	0.0468672i
$503$	−14.9657	−	31.0767i	−0.667290	−	1.38564i	−0.909618	−	0.415447i	$-0.863625\pi$
$503$	−14.9657	−	31.0767i	−0.667290	−	1.38564i	0.242328	−	0.970194i	$-0.422089\pi$
$504$	37.4495	−	0.646420i	1.66813	−	0.0287938i
$505$		−	3.13514i		−	0.139512i
$506$	−0.877441	−	10.8692i	−0.0390070	−	0.483193i
$507$	−2.20802	+	9.67396i	−0.0980615	+	0.429635i
$508$	−4.71409	+	15.9312i	−0.209154	+	0.706835i
$509$	−7.32829	−	5.84411i	−0.324821	−	0.259036i	0.447479	−	0.894295i	$-0.352322\pi$
$509$	−7.32829	−	5.84411i	−0.324821	−	0.259036i	−0.772299	+	0.635259i	$0.780893\pi$
$510$	−46.1877	+	43.3530i	−2.04522	+	1.91970i
$511$	36.5147	+	29.1195i	1.61532	+	1.28817i
$512$	13.1735	−	18.3973i	0.582190	−	0.813052i
$513$	−0.686797	−	0.861216i	−0.0303228	−	0.0380236i
$514$	34.8287	+	5.04484i	1.53623	+	0.222518i
$515$	11.0229	−	22.8893i	0.485728	−	1.00862i
$516$	4.75686	+	1.40757i	0.209409	+	0.0619646i
$517$	−23.1788	+	5.29042i	−1.01940	+	0.232672i
$518$	15.4023	−	39.9182i	0.676739	−	1.75391i
$519$	2.12423	−	4.41102i	0.0932435	−	0.193622i
$520$	−13.2903	+	17.2687i	−0.582819	+	0.757283i
$521$	−8.66677			−0.379698			−0.189849	−	0.981813i	$-0.560800\pi$
$521$	−8.66677			−0.379698			−0.189849	+	0.981813i	$0.560800\pi$
$522$	21.5524	+	2.48587i	0.943322	+	0.108804i
$523$		−	7.05240i		−	0.308380i	−0.988041	−	0.154190i	$-0.950723\pi$
$523$		−	7.05240i		−	0.308380i	0.988041	−	0.154190i	$-0.0492768\pi$
$524$	−28.2559	+	4.59198i	−1.23436	+	0.200602i
$525$	16.9287	+	8.15244i	0.738830	+	0.355802i
$526$	−7.96008	−	3.07137i	−0.347076	−	0.133918i
$527$	−0.554488	−	2.42937i	−0.0241539	−	0.105825i
$528$	8.61809	−	23.5372i	0.375054	−	1.02433i
$529$	12.7437	+	6.13705i	0.554075	+	0.266828i
$530$	40.5841	+	5.87848i	1.76286	+	0.255345i
$531$	5.39483	−	4.30223i	0.234116	−	0.186701i
$532$	10.5263	+	25.9390i	0.456373	+	1.12460i
$533$	−15.1215	+	18.9617i	−0.654984	+	0.821324i
$534$	−10.6694	−	11.3671i	−0.461712	−	0.491900i
$535$	−2.35780	+	2.95658i	−0.101936	+	0.127824i
$536$	−6.38643	−	12.6963i	−0.275852	−	0.548395i
$537$	39.5606	+	9.02945i	1.70717	+	0.389650i
$538$	−2.33753	−	28.9557i	−0.100778	−	1.24837i
$539$	37.8527			1.63043
$540$	1.26939	−	1.40005i	0.0546259	−	0.0602484i
$541$	−27.8619	+	13.4176i	−1.19788	+	0.576867i	−0.923070	−	0.384632i	$-0.874328\pi$
$541$	−27.8619	+	13.4176i	−1.19788	+	0.576867i	−0.274807	+	0.961499i	$0.588614\pi$
$542$	0.709930	−	4.90124i	0.0304941	−	0.210526i
$543$	−0.491862	+	0.392247i	−0.0211078	+	0.0168329i
$544$	−7.19698	−	39.9209i	−0.308568	−	1.71159i
$545$	−1.71317	+	7.50591i	−0.0733843	+	0.321518i
$546$	26.4881	−	39.3352i	1.13358	−	1.68339i
$547$	−10.5419	−	21.8905i	−0.450739	−	0.935968i	−0.995263	−	0.0972231i	$-0.969004\pi$
$547$	−10.5419	−	21.8905i	−0.450739	−	0.935968i	0.544524	−	0.838745i	$-0.316710\pi$
$548$	33.6198	+	18.8980i	1.43617	+	0.807283i
$549$	3.44596	+	15.0977i	0.147070	+	0.644356i
$550$	4.46550	−	4.19144i	0.190410	−	0.178724i
$551$	4.06519	+	15.6969i	0.173183	+	0.668711i
$552$	−12.9643	−	15.6932i	−0.551796	−	0.667948i
$553$	37.4952	−	8.55803i	1.59446	−	0.363924i
$554$	−4.62568	−	14.6954i	−0.196526	−	0.624347i
$555$	17.6396	+	36.6290i	0.748760	+	1.55482i
$556$	−4.57209	−	28.1334i	−0.193900	−	1.19312i
$557$	11.2528	+	2.56838i	0.476796	+	0.108826i	0.454164	−	0.890918i	$-0.349938\pi$
$557$	11.2528	+	2.56838i	0.476796	+	0.108826i	0.0226323	+	0.999744i	$0.492795\pi$
$558$	−0.420337	−	1.33537i	−0.0177943	−	0.0565309i
$559$	2.39178	−	1.90738i	0.101162	−	0.0806736i
$560$	−41.0287	+	24.9640i	−1.73378	+	1.05492i
$561$	−19.4966	−	40.4850i	−0.823145	−	1.70928i
$562$	−0.762970	−	9.45117i	−0.0321840	−	0.398673i
$563$	14.0023			0.590127			0.295063	−	0.955478i	$-0.404659\pi$
$563$	14.0023			0.590127			0.295063	+	0.955478i	$0.404659\pi$
$564$	−29.8104	+	32.8787i	−1.25524	+	1.38444i
$565$	0.0497236	−	0.217854i	0.00209189	−	0.00916517i
$566$	−12.1132	+	7.08678i	−0.509155	+	0.297880i
$567$	−27.3337	+	34.2754i	−1.14791	+	1.43943i
$568$	−0.794060	−	0.961208i	−0.0333180	−	0.0403314i
$569$	23.2057	+	18.5059i	0.972834	+	0.775809i	0.974546	−	0.224189i	$-0.0719733\pi$
$569$	23.2057	+	18.5059i	0.972834	+	0.775809i	−0.00171147	+	0.999999i	$0.500545\pi$
$570$	−24.8158	−	9.57508i	−1.03942	−	0.401056i
$571$	16.6910	−	13.3107i	0.698498	−	0.557034i	−0.208575	−	0.978006i	$-0.566883\pi$
$571$	16.6910	−	13.3107i	0.698498	−	0.557034i	0.907073	+	0.420973i	$0.138311\pi$
$572$	−8.85382	−	12.6704i	−0.370197	−	0.529778i
$573$	8.32749	−	17.2922i	0.347886	−	0.722392i
$574$	−46.1372	+	26.9924i	−1.92573	+	1.12664i
$575$	−1.10674	−	4.84896i	−0.0461544	−	0.202216i
$576$	−5.83499	−	22.0302i	−0.243125	−	0.917924i
$577$	−0.625871	+	1.29963i	−0.0260553	+	0.0541045i	−0.913590	−	0.406636i	$-0.866702\pi$
$577$	−0.625871	+	1.29963i	−0.0260553	+	0.0541045i	0.887535	+	0.460740i	$0.152416\pi$
$578$	−40.3773	−	27.1898i	−1.67947	−	1.13095i
$579$			3.12516i			0.129877i
$580$	−25.4627	+	11.2039i	−1.05728	+	0.465218i
$581$			27.6062i			1.14530i
$582$	−20.8489	+	30.9609i	−0.864213	+	1.28337i
$583$	−12.6212	+	26.2081i	−0.522715	+	1.08543i
$584$	11.8862	−	25.8122i	0.491853	−	1.06812i
$585$	4.88372	+	21.3970i	0.201917	+	0.884656i
$586$	−2.42289	−	4.14136i	−0.100089	−	0.171078i
$587$	−4.70011	+	9.75987i	−0.193994	+	0.402833i	−0.975164	−	0.221486i	$-0.928909\pi$
$587$	−4.70011	+	9.75987i	−0.193994	+	0.402833i	0.781169	+	0.624319i	$0.214624\pi$
$588$	57.9202	−	40.4733i	2.38859	−	1.66909i
$589$	0.818043	−	0.652368i	0.0337069	−	0.0268803i
$590$	−3.18503	+	8.25465i	−0.131126	+	0.339839i
$591$	18.0024	+	14.3565i	0.740521	+	0.590546i
$592$	−25.8255	−	3.28675i	−1.06142	−	0.135085i
$593$	−2.98740	+	3.74608i	−0.122678	+	0.153833i	−0.839378	−	0.543549i	$-0.817080\pi$
$593$	−2.98740	+	3.74608i	−0.122678	+	0.153833i	0.716700	+	0.697382i	$0.245652\pi$
$594$	0.676947	+	1.15708i	0.0277755	+	0.0474757i
$595$	−19.1586	+	83.9392i	−0.785425	+	3.44117i
$596$	−11.7841	+	12.9970i	−0.482694	+	0.532377i
$597$	28.4330			1.16368
$598$	−12.5122	+	1.01008i	−0.511662	+	0.0413053i
$599$	−3.08250	−	6.40088i	−0.125948	−	0.261533i	0.828455	−	0.560056i	$-0.189220\pi$
$599$	−3.08250	−	6.40088i	−0.125948	−	0.261533i	−0.954402	+	0.298523i	$0.903506\pi$
$600$	2.35125	−	11.1882i	0.0959893	−	0.456756i
$601$	9.97562	−	7.95529i	0.406914	−	0.324503i	−0.398551	−	0.917146i	$-0.630487\pi$
$601$	9.97562	−	7.95529i	0.406914	−	0.324503i	0.805465	+	0.592643i	$0.201915\pi$
$602$	6.43134	−	2.02440i	0.262122	−	0.0825083i
$603$	−13.9551	−	3.18517i	−0.568298	−	0.129710i
$604$	−28.3122	+	4.60113i	−1.15201	+	0.187217i
$605$	−4.80347	−	9.97450i	−0.195289	−	0.405521i
$606$	3.95987	−	1.24645i	0.160859	−	0.0506337i
$607$	−10.0888	+	2.30269i	−0.409490	+	0.0934634i	−0.422304	−	0.906454i	$-0.638778\pi$
$607$	−10.0888	+	2.30269i	−0.409490	+	0.0934634i	0.0128135	+	0.999918i	$0.495921\pi$
$608$	13.7914	−	9.99573i	0.559315	−	0.405380i
$609$	53.7600	−	27.8387i	2.17846	−	1.12808i
$610$	−13.5896	−	14.4782i	−0.550227	−	0.586203i
$611$	6.09016	+	26.6827i	0.246381	+	1.07947i
$612$	−35.6147	−	20.0193i	−1.43964	−	0.809233i
$613$	−2.50556	−	5.20285i	−0.101199	−	0.210141i	0.844222	−	0.535994i	$-0.180063\pi$
$613$	−2.50556	−	5.20285i	−0.101199	−	0.210141i	−0.945421	+	0.325853i	$0.894349\pi$
$614$	28.2920	+	19.0517i	1.14177	+	0.768863i
$615$	11.3019	−	49.5169i	0.455737	−	1.99671i
$616$	−8.15288	−	33.0778i	−0.328489	−	1.33274i
$617$	−17.6776	+	14.0974i	−0.711675	+	0.567542i	−0.911007	−	0.412390i	$-0.864694\pi$
$617$	−17.6776	+	14.0974i	−0.711675	+	0.567542i	0.199333	+	0.979932i	$0.436123\pi$
$618$	33.2930	+	4.82239i	1.33924	+	0.193985i
$619$	26.8748	−	12.9422i	1.08019	−	0.520192i	0.192813	−	0.981236i	$-0.438239\pi$
$619$	26.8748	−	12.9422i	1.08019	−	0.520192i	0.887378	+	0.461043i	$0.152525\pi$
$620$	1.32986	+	1.20576i	0.0534086	+	0.0484243i
$621$	1.08867			0.0436867
$622$	11.7088	−	0.945221i	0.469479	−	0.0378999i
$623$	−20.6579	−	4.71503i	−0.827642	−	0.188904i
$624$	−27.0953	−	9.92086i	−1.08468	−	0.397152i
$625$	−19.0559	+	23.8954i	−0.762237	+	0.955815i
$626$	5.46045	−	5.12534i	0.218244	−	0.204850i
$627$	11.7640	−	14.7516i	0.469809	−	0.589122i
$628$	−3.61056	−	8.89715i	−0.144077	−	0.355035i
$629$	−36.4890	+	29.0990i	−1.45491	+	1.16025i
$630$	−6.93408	+	47.8717i	−0.276260	+	1.90726i
$631$	29.5907	+	14.2501i	1.17799	+	0.567288i	0.917324	−	0.398142i	$-0.130345\pi$
$631$	29.5907	+	14.2501i	1.17799	+	0.567288i	0.260662	+	0.965430i	$0.416059\pi$
$632$	−10.5156	−	20.9051i	−0.418290	−	0.831562i
$633$	9.49613	+	41.6053i	0.377437	+	1.65366i
$634$	−3.69501	+	9.57636i	−0.146747	+	0.380326i
$635$	−19.3314	−	9.30950i	−0.767142	−	0.369436i
$636$	8.71033	+	53.5973i	0.345387	+	2.12527i
$637$		−	43.5748i		−	1.72650i
$638$	−2.15777	−	19.6149i	−0.0854268	−	0.776560i
$639$	−1.25573			−0.0496757
$640$	20.7224	+	20.6037i	0.819126	+	0.814434i
$641$	0.971483	−	2.01731i	0.0383713	−	0.0796788i	−0.880902	−	0.473299i	$-0.843063\pi$
$641$	0.971483	−	2.01731i	0.0383713	−	0.0796788i	0.919273	+	0.393620i	$0.128777\pi$
$642$	−4.67174	−	1.80258i	−0.184379	−	0.0711420i
$643$	12.5994	−	2.87573i	0.496871	−	0.113408i	0.0332605	−	0.999447i	$-0.489411\pi$
$643$	12.5994	−	2.87573i	0.496871	−	0.113408i	0.463610	+	0.886039i	$0.346554\pi$
$644$	−26.5293	−	7.85008i	−1.04540	−	0.309337i
$645$	−2.77970	+	5.77210i	−0.109450	+	0.227276i
$646$	4.37721	−	30.2196i	0.172219	−	1.18897i
$647$	28.0937	+	35.2283i	1.10448	+	1.38497i	0.915178	+	0.403049i	$0.132050\pi$
$647$	28.0937	+	35.2283i	1.10448	+	1.38497i	0.189297	+	0.981920i	$0.439379\pi$
$648$	24.2292	+	11.1572i	0.951814	+	0.438297i
$649$	−4.90693	−	3.91315i	−0.192614	−	0.153605i
$650$	−4.82505	−	5.14054i	−0.189254	−	0.201628i
$651$	−3.05429	−	2.43571i	−0.119707	−	0.0954632i
$652$	13.3471	+	3.94945i	0.522714	+	0.154672i
$653$	−1.60755	+	7.04313i	−0.0629083	+	0.275619i	−0.996593	−	0.0824771i	$-0.973717\pi$
$653$	−1.60755	+	7.04313i	−0.0629083	+	0.275619i	0.933685	+	0.358096i	$0.116574\pi$
$654$	−10.1615	+	0.820316i	−0.397347	+	0.0320769i
$655$		−	36.9697i		−	1.44453i
$656$	22.6646	+	23.3264i	0.884906	+	0.910742i
$657$	−12.4184	−	25.7870i	−0.484487	−	1.00605i
$658$	−8.64701	+	59.6976i	−0.337096	+	2.32725i
$659$	−25.7738	−	32.3193i	−1.00400	−	1.25898i	−0.965686	−	0.259714i	$-0.916372\pi$
$659$	−25.7738	−	32.3193i	−1.00400	−	1.25898i	−0.0383174	−	0.999266i	$-0.512200\pi$
$660$	28.2182	+	15.8617i	1.09839	+	0.617416i
$661$	13.1835	+	3.00904i	0.512778	+	0.117038i	0.471077	−	0.882092i	$-0.343865\pi$
$661$	13.1835	+	3.00904i	0.512778	+	0.117038i	0.0417005	+	0.999130i	$0.486722\pi$
$662$	−25.6319	−	17.2604i	−0.996214	−	0.670844i
$663$	−46.6050	+	22.4438i	−1.80999	+	0.871645i
$664$	16.3091	−	4.01979i	0.632915	−	0.155998i
$665$	−35.2457	+	8.04460i	−1.36677	+	0.311956i
$666$	−19.1182	+	17.9449i	−0.740815	+	0.695350i
$667$	−14.6339	−	6.53135i	−0.566628	−	0.252895i
$668$	−1.68704	+	26.6187i	−0.0652736	+	1.02991i
$669$	−13.9868	−	61.2800i	−0.540759	−	2.36922i
$670$	17.5073	−	5.51078i	0.676364	−	0.212900i
$671$	12.6906	−	6.11146i	0.489915	−	0.235930i
$672$	−47.8430	−	41.8966i	−1.84558	−	1.61620i
$673$	0.904282	−	3.96192i	0.0348575	−	0.152721i	−0.954504	−	0.298198i	$-0.903615\pi$
$673$	0.904282	−	3.96192i	0.0348575	−	0.152721i	0.989362	+	0.145477i	$0.0464717\pi$
$674$	−14.7619	−	46.8972i	−0.568606	−	1.80641i
$675$	0.381228	+	0.478045i	0.0146735	+	0.0184000i
$676$	6.72647	−	4.70030i	0.258710	−	0.180781i
$677$	0.345060	−	0.166172i	0.0132617	−	0.00638651i	−0.427241	−	0.904138i	$-0.640514\pi$
$677$	0.345060	−	0.166172i	0.0132617	−	0.00638651i	0.440503	+	0.897751i	$0.354800\pi$
$678$	0.294931	−	0.0238091i	0.0113268	−	0.000914382i
$679$			50.7322i			1.94692i
$680$	52.3790	−	0.904120i	2.00864	−	0.0346714i
$681$	−67.7138	−	15.4552i	−2.59480	−	0.592246i
$682$	−1.09908	+	0.643012i	−0.0420859	+	0.0246222i
$683$	24.9998	+	19.9367i	0.956591	+	0.762856i	0.971502	−	0.237033i	$-0.0761750\pi$
$683$	24.9998	+	19.9367i	0.956591	+	0.762856i	−0.0149108	+	0.999889i	$0.504746\pi$
$684$	1.08508	−	17.1207i	0.0414891	−	0.654627i
$685$	−31.0545	+	38.9411i	−1.18653	+	1.48786i
$686$	18.0062	−	46.6666i	0.687479	−	1.78174i
$687$	−14.8177	−	18.5808i	−0.565331	−	0.708903i
$688$	−2.13245	−	3.50471i	−0.0812988	−	0.133616i
$689$	30.1699	+	14.5291i	1.14938	+	0.553514i
$690$	22.6902	−	13.2748i	0.863802	−	0.505365i
$691$	−12.2513	+	2.79627i	−0.466060	+	0.106375i	−0.449101	−	0.893481i	$-0.648256\pi$
$691$	−12.2513	+	2.79627i	−0.466060	+	0.106375i	−0.0169592	+	0.999856i	$0.505399\pi$
$692$	−3.75167	+	1.52247i	−0.142617	+	0.0578755i
$693$	−30.9143	−	14.8875i	−1.17434	−	0.565531i
$694$	−2.35551	+	3.49797i	−0.0894140	+	0.132781i
$695$	36.8096			1.39627
$696$	−24.2746	−	27.7065i	−0.920125	−	1.05021i
$697$	58.3060			2.20850
$698$	−9.47831	+	14.0754i	−0.358759	+	0.532763i
$699$	32.8277	+	15.8090i	1.24166	+	0.597950i
$700$	−5.84296	−	14.3983i	−0.220843	−	0.544203i
$701$	−8.18528	+	1.86824i	−0.309154	+	0.0705624i	−0.374283	−	0.927314i	$-0.622111\pi$
$701$	−8.18528	+	1.86824i	−0.309154	+	0.0705624i	0.0651292	+	0.997877i	$0.479254\pi$
$702$	1.33200	−	0.779279i	0.0502729	−	0.0294120i
$703$	−17.6563	−	8.50282i	−0.665920	−	0.320690i
$704$	−18.3545	+	9.63306i	−0.691760	+	0.363060i
$705$	−35.7357	−	44.8112i	−1.34589	−	1.68769i
$706$	0.299949	−	0.777380i	0.0112887	−	0.0292571i
$707$	3.51799	−	4.41142i	0.132308	−	0.165909i
$708$	−11.6924	−	0.741044i	−0.439427	−	0.0278501i
$709$	25.1968	+	20.0938i	0.946286	+	0.754638i	0.969500	−	0.245093i	$-0.0788185\pi$
$709$	25.1968	+	20.0938i	0.946286	+	0.754638i	−0.0232139	+	0.999731i	$0.507390\pi$
$710$	1.38977	−	0.813083i	0.0521573	−	0.0305145i
$711$	−22.9780	−	5.24457i	−0.861741	−	0.196687i
$712$	0.222509	+	12.8908i	0.00833889	+	0.483103i
$713$			1.03409i			0.0387270i
$714$	−113.637	+	9.17366i	−4.25276	+	0.343316i
$715$	17.9855	−	8.66136i	0.672619	−	0.323916i
$716$	−19.2214	−	27.5072i	−0.718337	−	1.02799i
$717$	10.7171	+	13.4388i	0.400238	+	0.501883i
$718$	1.04957	+	3.33440i	0.0391697	+	0.124439i
$719$	6.31938	−	27.6870i	0.235673	−	1.03255i	−0.709172	−	0.705035i	$-0.750931\pi$
$719$	6.31938	−	27.6870i	0.235673	−	1.03255i	0.944846	−	0.327516i	$-0.106212\pi$
$720$	29.2912	−	2.87421i	1.09162	−	0.107116i
$721$	41.1946	−	19.8383i	1.53417	−	0.738817i
$722$	−13.4004	+	4.21805i	−0.498711	+	0.156980i
$723$	−15.2891	−	66.9858i	−0.568607	−	2.49123i
$724$	0.519229	+	0.0329078i	0.0192970	+	0.00122301i
$725$	−2.25651	−	8.71307i	−0.0838047	−	0.323595i
$726$	10.6887	−	10.0327i	0.396693	−	0.372347i
$727$	−14.4443	+	3.29681i	−0.535708	+	0.122272i	−0.481812	−	0.876275i	$-0.660021\pi$
$727$	−14.4443	+	3.29681i	−0.535708	+	0.122272i	−0.0538963	+	0.998547i	$0.517164\pi$
$728$	−38.0781	+	9.38532i	−1.41127	+	0.347843i
$729$	21.8142	−	10.5052i	0.807933	−	0.389080i
$730$	30.4411	+	20.4989i	1.12668	+	0.758697i
$731$	−7.17016	−	1.63654i	−0.265198	−	0.0605297i
$732$	12.8839	−	22.9206i	0.476202	−	0.847171i
$733$	0.892111	+	1.11867i	0.0329509	+	0.0413191i	0.798034	−	0.602613i	$-0.205874\pi$
$733$	0.892111	+	1.11867i	0.0329509	+	0.0413191i	−0.765083	+	0.643932i	$0.777302\pi$
$734$	3.35257	−	23.1456i	0.123746	−	0.854320i
$735$	39.5935	+	82.2168i	1.46043	+	3.03261i
$736$	−0.774657	+	16.8160i	−0.0285542	+	0.619845i
$737$			13.0195i			0.479580i
$738$	32.6512	−	2.63585i	1.20191	−	0.0970270i
$739$	−0.450312	+	1.97295i	−0.0165650	+	0.0725760i	−0.982535	−	0.186079i	$-0.940422\pi$
$739$	−0.450312	+	1.97295i	−0.0165650	+	0.0725760i	0.965970	+	0.258655i	$0.0832792\pi$
$740$	9.53975	−	32.2395i	0.350688	−	1.18515i
$741$	−16.9816	−	13.5423i	−0.623833	−	0.497490i
$742$	50.5090	+	53.8115i	1.85424	+	1.97548i
$743$	17.5276	+	13.9778i	0.643024	+	0.512795i	0.889843	−	0.456267i	$-0.150814\pi$
$743$	17.5276	+	13.9778i	0.643024	+	0.512795i	−0.246819	+	0.969062i	$0.579385\pi$
$744$	−0.994222	+	2.15907i	−0.0364500	+	0.0791555i
$745$	−14.1264	−	17.7139i	−0.517550	−	0.648987i
$746$	−2.01034	+	13.8791i	−0.0736039	+	0.508149i
$747$	7.34033	−	15.2424i	0.268569	−	0.557689i
$748$	−10.5440	+	35.6334i	−0.385527	+	1.30289i
$749$	−6.63525	+	1.51445i	−0.242447	+	0.0553369i
$750$	−27.4336	−	10.5852i	−1.00173	−	0.386516i
$751$	5.50371	−	11.4286i	0.200833	−	0.417034i	−0.776091	−	0.630621i	$-0.782800\pi$
$751$	5.50371	−	11.4286i	0.200833	−	0.417034i	0.976924	+	0.213587i	$0.0685145\pi$
$752$	36.5271	−	3.58424i	1.33200	−	0.130704i
$753$	−12.5267			−0.456498
$754$	−22.5800	+	2.48395i	−0.822315	+	0.0904601i
$755$		−	37.0434i		−	1.34815i
$756$	3.35716	−	0.545586i	0.122099	−	0.0198428i
$757$	40.5048	+	19.5061i	1.47217	+	0.708960i	0.986283	−	0.165062i	$-0.0527823\pi$
$757$	40.5048	+	19.5061i	1.47217	+	0.708960i	0.485887	+	0.874022i	$0.338497\pi$
$758$	10.4792	−	27.1590i	0.380622	−	0.986459i
$759$	4.14947	+	18.1800i	0.150616	+	0.659893i
$760$	9.88476	+	19.6510i	0.358558	+	0.712815i
$761$	−5.39943	−	2.60023i	−0.195729	−	0.0942582i	0.333452	−	0.942767i	$-0.391786\pi$
$761$	−5.39943	−	2.60023i	−0.195729	−	0.0942582i	−0.529181	+	0.848509i	$0.677501\pi$
$762$	4.07279	−	28.1179i	0.147542	−	1.01860i
$763$	−10.8331	+	8.63909i	−0.392184	+	0.312756i
$764$	−14.7074	+	5.96842i	−0.532095	+	0.215930i
$765$	32.8971	−	41.2517i	1.18940	−	1.49146i
$766$	38.4715	−	36.1104i	1.39003	−	1.30472i
$767$	−4.50469	+	5.64870i	−0.162655	+	0.203963i
$768$	−17.7850	+	34.3652i	−0.641763	+	1.24005i
$769$	−7.22736	−	1.64960i	−0.260625	−	0.0594860i	0.0902116	−	0.995923i	$-0.471246\pi$
$769$	−7.22736	−	1.64960i	−0.260625	−	0.0594860i	−0.350837	+	0.936437i	$0.614103\pi$
$770$	43.8541	−	3.54024i	1.58039	−	0.127581i
$771$	−60.1814			−2.16738
$772$	1.73597	−	1.91465i	0.0624790	−	0.0689099i
$773$	−43.7174	+	21.0532i	−1.57241	+	0.757231i	−0.998112	−	0.0614177i	$-0.980438\pi$
$773$	−43.7174	+	21.0532i	−1.57241	+	0.757231i	−0.574294	+	0.818649i	$0.694724\pi$
$774$	−4.08925	−	0.592315i	−0.146985	−	0.0212903i
$775$	−0.454081	+	0.362117i	−0.0163111	+	0.0130076i
$776$	29.9714	−	7.38722i	1.07591	−	0.265186i
$777$	−16.2815	+	71.3339i	−0.584096	+	2.55909i
$778$	33.0491	+	22.2550i	1.18487	+	0.797882i
$779$	10.6225	+	22.0579i	0.380592	+	0.790307i
$780$	18.2595	−	32.4838i	0.653794	−	1.16311i
$781$	0.254155	+	1.11352i	0.00909437	+	0.0398450i
$782$	20.6533	+	22.0037i	0.738560	+	0.786851i
$783$	1.96926	−	0.0571505i	0.0703757	−	0.00204239i
$784$	−57.9675	−	7.37738i	−2.07027	−	0.263478i
$785$	12.0894	−	2.75932i	0.431489	−	0.0984845i
$786$	46.6950	−	14.6982i	1.66555	−	0.524268i
$787$	16.9803	+	35.2599i	0.605281	+	1.25688i	0.948248	+	0.317531i	$0.102854\pi$
$787$	16.9803	+	35.2599i	0.605281	+	1.25688i	−0.342967	+	0.939347i	$0.611432\pi$
$788$	−3.05456	−	18.7956i	−0.108814	−	0.669566i
$789$	14.2247	+	3.24669i	0.506412	+	0.115585i
$790$	28.8267	−	9.07381i	1.02561	−	0.322832i
$791$	0.314422	−	0.250743i	0.0111796	−	0.00891541i
$792$	−4.29372	+	20.4313i	−0.152571	+	0.725993i
$793$	−7.03531	−	14.6090i	−0.249831	−	0.518780i
$794$	−29.3490	+	2.36927i	−1.04156	+	0.0840824i
$795$	−70.1262			−2.48712
$796$	−17.4197	−	15.7940i	−0.617423	−	0.559804i
$797$	−2.11617	+	9.27155i	−0.0749586	+	0.328415i	−0.998479	−	0.0551343i	$-0.982441\pi$
$797$	−2.11617	+	9.27155i	−0.0749586	+	0.328415i	0.923520	+	0.383550i	$0.125298\pi$
$798$	−24.1736	−	41.3191i	−0.855736	−	1.46268i
$799$	41.0237	−	51.4421i	1.45132	−	1.81989i
$800$	−7.65535	+	5.54845i	−0.270657	+	0.196167i
$801$	10.1523	+	8.09617i	0.358713	+	0.286064i
$802$	−9.19352	+	23.8269i	−0.324635	+	0.841357i
$803$	−20.3534	+	16.2313i	−0.718256	+	0.572790i
$804$	13.9209	+	19.9218i	0.490951	+	0.702587i
$805$	15.5025	−	32.1913i	0.546393	−	1.13460i
$806$	0.740214	+	1.26522i	0.0260729	+	0.0445656i
$807$	11.0543	+	48.4321i	0.389130	+	1.70489i
$808$	−3.11843	−	1.43599i	−0.109706	−	0.0505180i
$809$	13.8868	−	28.8361i	0.488232	−	1.01382i	−0.500723	−	0.865608i	$-0.666932\pi$
$809$	13.8868	−	28.8361i	0.488232	−	1.01382i	0.988955	−	0.148217i	$-0.0473533\pi$
$810$	−19.2417	+	28.5743i	−0.676086	+	1.00400i
$811$			36.4659i			1.28049i	0.768171	+	0.640245i	$0.221167\pi$
$811$			36.4659i			1.28049i	−0.768171	+	0.640245i	$0.778833\pi$
$812$	−48.4003	−	12.8071i	−1.69852	−	0.449443i
$813$			8.46897i			0.297020i
$814$	19.7822	+	13.3212i	0.693367	+	0.466909i
$815$	−7.79947	+	16.1958i	−0.273203	+	0.567313i
$816$	21.9665	+	65.7984i	0.768982	+	2.30341i
$817$	−0.687177	−	3.01072i	−0.0240413	−	0.105332i
$818$	−27.7357	+	16.2267i	−0.969755	+	0.567352i
$819$	−17.1380	+	35.5875i	−0.598852	+	1.24353i
$820$	−34.4299	+	24.0589i	−1.20235	+	0.840172i
$821$	33.4298	−	26.6594i	1.16671	−	0.930419i	0.168240	−	0.985746i	$-0.446192\pi$
$821$	33.4298	−	26.6594i	1.16671	−	0.930419i	0.998468	+	0.0553270i	$0.0176201\pi$
$822$	−61.5314	−	23.7417i	−2.14615	−	0.828086i
$823$	−31.1963	−	24.8783i	−1.08744	−	0.867201i	−0.0956890	−	0.995411i	$-0.530505\pi$
$823$	−31.1963	−	24.8783i	−1.08744	−	0.867201i	−0.991747	+	0.128210i	$0.959077\pi$
$824$	−17.7184	−	21.4482i	−0.617251	−	0.747182i
$825$	−6.52999	+	8.18834i	−0.227345	+	0.285082i
$826$	−13.7443	+	8.04104i	−0.478225	+	0.279784i
$827$	−4.14122	+	18.1439i	−0.144004	+	0.630924i	0.850477	+	0.526012i	$0.176313\pi$
$827$	−4.14122	+	18.1439i	−0.144004	+	0.630924i	−0.994481	+	0.104912i	$0.966544\pi$
$828$	12.5605	+	11.3883i	0.436507	+	0.395771i
$829$	−9.69087			−0.336578			−0.168289	−	0.985738i	$-0.553824\pi$
$829$	−9.69087			−0.336578			−0.168289	+	0.985738i	$0.553824\pi$
$830$	1.74552	+	21.6223i	0.0605879	+	0.750522i
$831$	11.4310	+	23.7368i	0.396538	+	0.823419i
$832$	11.0893	+	21.1290i	0.384451	+	0.732518i
$833$	−81.9024	+	65.3150i	−2.83775	+	2.26303i
$834$	14.6345	+	46.4927i	0.506753	+	1.60991i
$835$	−33.5820	−	7.66486i	−1.16215	−	0.265254i
$836$	−15.4016	+	2.50297i	−0.532674	+	0.0865672i
$837$	−0.0551584	−	0.114538i	−0.00190655	−	0.00395900i
$838$	−7.50749	−	23.8506i	−0.259342	−	0.823906i
$839$	43.5420	−	9.93817i	1.50324	−	0.343104i	0.609895	−	0.792482i	$-0.291212\pi$
$839$	43.5420	−	9.93817i	1.50324	−	0.343104i	0.893341	+	0.449378i	$0.148355\pi$
$840$	63.3179	−	52.3073i	2.18467	−	1.80477i
$841$	−26.8138	−	11.0462i	−0.924615	−	0.380903i
$842$	29.5173	−	27.7058i	1.01723	−	0.954804i
$843$	3.60813	+	15.8083i	0.124271	+	0.544466i
$844$	17.2931	−	30.7647i	0.595253	−	1.05896i
$845$	4.59813	+	9.54812i	0.158180	+	0.328465i
$846$	20.6476	−	30.6620i	0.709879	−	1.05418i
$847$	4.43364	−	19.4250i	0.152342	−	0.667452i
$848$	24.4359	−	37.6752i	0.839132	−	1.29377i
$849$	18.7633	−	14.9632i	0.643954	−	0.513536i
$850$	−2.42971	+	16.7743i	−0.0833384	+	0.575355i
$851$	17.4500	−	8.40348i	0.598178	−	0.288067i
$852$	1.57951	+	1.43211i	0.0541132	+	0.0490632i
$853$	−13.6268			−0.466572			−0.233286	−	0.972408i	$-0.574948\pi$
$853$	−13.6268			−0.466572			−0.233286	+	0.972408i	$0.574948\pi$
$854$	−2.87561	−	35.6211i	−0.0984013	−	1.21893i
$855$	21.5994	+	4.92993i	0.738685	+	0.168600i
$856$	1.86088	+	3.69943i	0.0636035	+	0.126444i
$857$	16.0583	−	20.1364i	0.548540	−	0.687847i	−0.427853	−	0.903848i	$-0.640730\pi$
$857$	16.0583	−	20.1364i	0.548540	−	0.687847i	0.976393	+	0.216001i	$0.0693015\pi$
$858$	18.0904	+	19.2732i	0.617596	+	0.657977i
$859$	27.1614	−	34.0594i	0.926736	−	1.16209i	−0.0597444	−	0.998214i	$-0.519029\pi$
$859$	27.1614	−	34.0594i	0.926736	−	1.16209i	0.986481	−	0.163877i	$-0.0524000\pi$
$860$	4.90930	−	1.99224i	0.167406	−	0.0679350i
$861$	71.4664	−	56.9925i	2.43557	−	1.94230i
$862$	−17.8600	−	2.58697i	−0.608315	−	0.0881126i
$863$	4.55149	+	2.19188i	0.154935	+	0.0746125i	0.509744	−	0.860326i	$-0.329740\pi$
$863$	4.55149	+	2.19188i	0.154935	+	0.0746125i	−0.354810	+	0.934939i	$0.615454\pi$
$864$	−0.811162	−	1.90389i	−0.0275963	−	0.0647715i
$865$	−1.16353	−	5.09774i	−0.0395611	−	0.173328i
$866$	−47.9529	−	18.5025i	−1.62951	−	0.628739i
$867$	75.0005	+	36.1183i	2.54715	+	1.22664i
$868$	0.518236	+	3.18886i	0.0175901	+	0.108237i
$869$			21.4374i			0.727213i
$870$	40.3469	−	25.2037i	1.36789	−	0.854485i
$871$	14.9876			0.507836
$872$	6.68120	+	5.14197i	0.226254	+	0.174129i
$873$	13.4894	−	28.0111i	0.456548	−	0.948031i
$874$	−4.56155	+	11.8222i	−0.154297	+	0.399891i
$875$	−38.9639	+	8.89325i	−1.31722	+	0.300647i
$876$	−13.7887	+	46.5988i	−0.465876	+	1.57443i
$877$	−23.7579	+	49.3338i	−0.802247	+	1.66588i	−0.0576797	+	0.998335i	$0.518370\pi$
$877$	−23.7579	+	49.3338i	−0.802247	+	1.66588i	−0.744567	+	0.667548i	$0.767344\pi$
$878$	−27.2789	−	3.95126i	−0.920617	−	0.133349i
$879$	5.11575	+	6.41495i	0.172550	+	0.216371i
$880$	−8.47717	−	25.3925i	−0.285765	−	0.855980i
$881$	24.6434	+	19.6525i	0.830258	+	0.662108i	0.943468	−	0.331463i	$-0.107542\pi$
$881$	24.6434	+	19.6525i	0.830258	+	0.662108i	−0.113211	+	0.993571i	$0.536113\pi$
$882$	−42.9123	+	40.2787i	−1.44493	+	1.35626i
$883$	9.33855	+	7.44724i	0.314267	+	0.250620i	0.767901	−	0.640568i	$-0.221301\pi$
$883$	9.33855	+	7.44724i	0.314267	+	0.250620i	−0.453634	+	0.891188i	$0.649873\pi$
$884$	41.0200	+	12.1379i	1.37965	+	0.408242i
$885$	3.36684	−	14.7511i	0.113175	−	0.495852i
$886$	−0.901533	−	11.1676i	−0.0302876	−	0.375183i
$887$			14.1405i			0.474790i	0.971413	+	0.237395i	$0.0762936\pi$
$887$			14.1405i			0.474790i	−0.971413	+	0.237395i	$0.923706\pi$
$888$	44.5132	−	0.768348i	1.49377	−	0.0257841i
$889$	−16.7546	−	34.7913i	−0.561932	−	1.16686i
$890$	−16.4783	−	2.38683i	−0.552354	−	0.0800068i
$891$	−15.2359	−	19.1052i	−0.510421	−	0.640048i
$892$	−25.4709	+	45.3130i	−0.852827	+	1.51719i
$893$	26.9352	+	6.14778i	0.901351	+	0.205728i
$894$	16.7574	−	24.8850i	0.560452	−	0.832280i
$895$	39.0460	−	18.8036i	1.30516	−	0.628534i
$896$	6.03851	+	52.2442i	0.201732	+	1.74536i
$897$	20.9282	−	4.77673i	0.698774	−	0.159491i
$898$	−18.9618	−	20.2016i	−0.632763	−	0.674136i
$899$	0.0542855	+	1.87054i	0.00181052	+	0.0623861i
$900$	−0.602309	+	9.50340i	−0.0200770	+	0.316780i
$901$	−17.9136	−	78.4848i	−0.596790	−	2.61471i
$902$	−8.94585	−	28.4202i	−0.297864	−	0.946288i
$903$	−10.3882	+	5.00271i	−0.345699	+	0.166480i
$904$	−0.193917	−	0.149242i	−0.00644958	−	0.00496372i
$905$	−0.149512	+	0.655057i	−0.00496996	+	0.0217748i
$906$	46.7880	−	14.7275i	1.55443	−	0.489289i
$907$	6.64396	+	8.33126i	0.220609	+	0.276635i	0.879803	−	0.475338i	$-0.157674\pi$
$907$	6.64396	+	8.33126i	0.220609	+	0.276635i	−0.659195	+	0.751972i	$0.729103\pi$
$908$	32.9002	+	47.0826i	1.09183	+	1.56249i
$909$	−3.11538	+	1.50029i	−0.103331	+	0.0497614i
$910$	−4.07540	−	50.4834i	−0.135098	−	1.67351i
$911$			12.2408i			0.405555i	0.979225	+	0.202778i	$0.0649969\pi$
$911$			12.2408i			0.405555i	−0.979225	+	0.202778i	$0.935003\pi$
$912$	−20.8904	+	20.2978i	−0.691750	+	0.672126i
$913$	−15.0019	−	3.42409i	−0.496492	−	0.113321i
$914$	−13.0051	−	22.2291i	−0.430170	−	0.735274i
$915$	26.5484	+	21.1717i	0.877664	+	0.699914i
$916$	−1.24314	+	19.6147i	−0.0410746	+	0.648086i
$917$	41.4843	−	52.0196i	1.36993	−	1.71784i
$918$	−3.46127	−	1.33552i	−0.114239	−	0.0440787i
$919$	−1.12943	−	1.41626i	−0.0372564	−	0.0467181i	0.762854	−	0.646570i	$-0.223797\pi$
$919$	−1.12943	−	1.41626i	−0.0372564	−	0.0467181i	−0.800111	+	0.599852i	$0.795226\pi$
$920$	−21.2753	−	4.47109i	−0.701425	−	0.147408i
$921$	−52.5522	−	25.3078i	−1.73165	−	0.833920i
$922$	−23.1554	−	39.5788i	−0.762584	−	1.30346i
$923$	1.28185	−	0.292575i	0.0421927	−	0.00963021i
$924$	21.9068	+	53.9828i	0.720681	+	1.77590i
$925$	9.80069	+	4.71976i	0.322245	+	0.155185i
$926$	5.09104	+	3.42827i	0.167302	+	0.112660i
$927$	−28.0199			−0.920296
$928$	−0.518489	+	30.4587i	−0.0170202	+	0.999855i
$929$	−58.6576			−1.92449			−0.962246	−	0.272181i	$-0.912255\pi$
$929$	−58.6576			−1.92449			−0.962246	+	0.272181i	$0.912255\pi$
$930$	−2.54626	−	1.71464i	−0.0834951	−	0.0562251i
$931$	−39.6310	−	19.0853i	−1.29885	−	0.625494i
$932$	−11.3305	−	27.9207i	−0.371143	−	0.914572i
$933$	−19.5844	+	4.47001i	−0.641164	+	0.146341i
$934$	10.7472	+	18.3697i	0.351658	+	0.601076i
$935$	−43.2385	−	20.8226i	−1.41405	−	0.680971i
$936$	23.5198	+	4.94279i	0.768768	+	0.161560i
$937$	11.4476	+	14.3549i	0.373978	+	0.468953i	0.932832	−	0.360313i	$-0.117330\pi$
$937$	11.4476	+	14.3549i	0.373978	+	0.468953i	−0.558854	+	0.829266i	$0.688759\pi$
$938$	30.8180	+	11.8910i	1.00624	+	0.388255i
$939$	−7.98493	+	10.0128i	−0.260578	+	0.326755i
$940$	−2.99807	+	47.3045i	−0.0977863	+	1.54290i
$941$	−3.08101	−	2.45702i	−0.100438	−	0.0800966i	0.571983	−	0.820265i	$-0.306174\pi$
$941$	−3.08101	−	2.45702i	−0.100438	−	0.0800966i	−0.672421	+	0.740169i	$0.734746\pi$
$942$	8.29163	+	14.1726i	0.270156	+	0.461768i
$943$	−23.5897	−	5.38420i	−0.768187	−	0.175334i
$944$	6.75180	+	6.94893i	0.219752	+	0.226168i
$945$			4.39247i			0.142887i
$946$	0.302410	+	3.74606i	0.00983220	+	0.121795i
$947$	−41.9612	+	20.2074i	−1.36355	+	0.656653i	−0.965426	−	0.260676i	$-0.916054\pi$
$947$	−41.9612	+	20.2074i	−1.36355	+	0.656653i	−0.398129	+	0.917330i	$0.630340\pi$
$948$	22.9215	+	32.8024i	0.744457	+	1.06537i
$949$	18.6849	+	23.4302i	0.606538	+	0.760575i
$950$	−6.78860	+	2.13686i	−0.220251	+	0.0693287i
$951$	3.90593	−	17.1130i	0.126658	−	0.554926i
$952$	74.7164	+	57.5031i	2.42157	+	1.86369i
$953$	32.7489	−	15.7710i	1.06084	−	0.510874i	0.179696	−	0.983722i	$-0.442488\pi$
$953$	32.7489	−	15.7710i	1.06084	−	0.510874i	0.881144	+	0.472848i	$0.156774\pi$
$954$	−13.5796	−	43.1414i	−0.439657	−	1.39675i
$955$	−4.56129	−	19.9843i	−0.147600	−	0.646677i
$956$	0.899120	−	14.1866i	0.0290796	−	0.458826i
$957$	8.46025	+	32.6676i	0.273481	+	1.05599i
$958$	−5.08946	−	5.42223i	−0.164433	−	0.175184i
$959$	−87.3927	+	19.9468i	−2.82206	+	0.644117i
$960$	−40.1218	−	29.7902i	−1.29493	−	0.961474i
$961$	−27.8212	+	13.3980i	−0.897459	+	0.432194i
$962$	15.3350	−	22.7727i	0.494419	−	0.734220i
$963$	4.06624	+	0.928094i	0.131033	+	0.0299074i
$964$	−27.8425	+	49.5321i	−0.896745	+	1.59532i
$965$	2.08103	+	2.60953i	0.0669907	+	0.0840037i
$966$	46.8230	+	6.78217i	1.50651	+	0.218213i
$967$	−23.2345	−	48.2469i	−0.747170	−	1.55152i	−0.831783	−	0.555101i	$-0.812679\pi$
$967$	−23.2345	−	48.2469i	−0.747170	−	1.55152i	0.0846122	−	0.996414i	$-0.473035\pi$
$968$	−12.1215	+	0.209230i	−0.389598	+	0.00672489i
$969$			52.2171i			1.67745i
$970$	3.20777	+	39.7357i	0.102995	+	1.27583i
$971$	1.42535	−	6.24488i	0.0457417	−	0.200408i	−0.946894	−	0.321546i	$-0.895797\pi$
$971$	1.42535	−	6.24488i	0.0457417	−	0.200408i	0.992636	+	0.121139i	$0.0386546\pi$
$972$	−41.6362	−	12.3202i	−1.33548	−	0.395172i
$973$	51.7943	+	41.3045i	1.66045	+	1.32416i
$974$	19.1403	−	17.9656i	0.613295	−	0.575656i
$975$	9.42615	+	7.51711i	0.301878	+	0.240740i
$976$	−20.6254	+	6.88571i	−0.660203	+	0.220406i
$977$	−22.4419	−	28.1412i	−0.717979	−	0.900317i	0.280243	−	0.959929i	$-0.409585\pi$
$977$	−22.4419	−	28.1412i	−0.717979	−	0.900317i	−0.998222	+	0.0596119i	$0.981014\pi$
$978$	−23.5571	−	3.41217i	−0.753272	−	0.109109i
$979$	5.12455	−	10.6412i	0.163781	−	0.340096i
$980$	21.4127	−	72.3642i	0.684005	−	2.31159i
$981$	8.27841	−	1.88949i	0.264309	−	0.0603269i
$982$	−17.3536	+	44.9755i	−0.553777	+	1.43523i
$983$	−16.0633	+	33.3558i	−0.512340	+	1.06388i	0.471004	+	0.882131i	$0.343892\pi$
$983$	−16.0633	+	33.3558i	−0.512340	+	1.06388i	−0.983344	+	0.181754i	$0.941823\pi$
$984$	−44.0762	−	33.9219i	−1.40510	−	1.08139i
$985$	24.5920			0.783567
$986$	38.5143	+	38.7177i	1.22655	+	1.23302i
$987$		−	103.153i		−	3.28339i
$988$	2.88134	+	17.7298i	0.0916677	+	0.564059i
$989$	2.74981	+	1.32424i	0.0874390	+	0.0421084i
$990$	−25.1547	−	9.70587i	−0.799470	−	0.308473i
$991$	−5.14294	−	22.5327i	−0.163371	−	0.715775i	−0.988549	−	0.150902i	$-0.951782\pi$
$991$	−5.14294	−	22.5327i	−0.163371	−	0.715775i	0.825178	−	0.564873i	$-0.191075\pi$
$992$	1.80844	−	0.770499i	0.0574182	−	0.0244634i
$993$	47.6111	+	22.9283i	1.51089	+	0.727608i
$994$	2.86791	+	0.415407i	0.0909644	+	0.0131759i
$995$	23.7417	−	18.9334i	0.752662	−	0.600228i
$996$	−26.6163	+	10.8012i	−0.843371	+	0.342249i
$997$	9.53390	−	11.9551i	0.301942	−	0.378623i	−0.607595	−	0.794247i	$-0.707865\pi$
$997$	9.53390	−	11.9551i	0.301942	−	0.378623i	0.909536	+	0.415624i	$0.136437\pi$
$998$	−30.6156	−	32.6174i	−0.969120	−	1.03249i
$999$	−1.48455	+	1.86157i	−0.0469691	+	0.0588973i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	232.2.o.a.109.24	yes	168
4.3	odd	2		928.2.be.a.689.25		168
8.3	odd	2		928.2.be.a.689.4		168
8.5	even	2	inner	232.2.o.a.109.20	✓	168
29.4	even	14	inner	232.2.o.a.149.20	yes	168
116.91	odd	14		928.2.be.a.497.4		168
232.91	odd	14		928.2.be.a.497.25		168
232.149	even	14	inner	232.2.o.a.149.24	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
232.2.o.a.109.20	✓	168	8.5	even	2	inner
232.2.o.a.109.24	yes	168	1.1	even	1	trivial
232.2.o.a.149.20	yes	168	29.4	even	14	inner
232.2.o.a.149.24	yes	168	232.149	even	14	inner
928.2.be.a.497.4		168	116.91	odd	14
928.2.be.a.497.25		168	232.91	odd	14
928.2.be.a.689.4		168	8.3	odd	2
928.2.be.a.689.25		168	4.3	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)

\(f(q)\)	\(=\)	\(q+(1.17304 + 0.789919i) q^{2} +(-2.17892 - 1.04931i) q^{3} +(0.752055 + 1.85322i) q^{4} +(-2.51814 + 0.574749i) q^{5} +(-1.72709 - 2.95205i) q^{6} +(-4.18817 - 2.01692i) q^{7} +(-0.581700 + 2.76796i) q^{8} +(1.77615 + 2.22723i) q^{9} +O(q^{10})\)	\(q+(1.17304 + 0.789919i) q^{2} +(-2.17892 - 1.04931i) q^{3} +(0.752055 + 1.85322i) q^{4} +(-2.51814 + 0.574749i) q^{5} +(-1.72709 - 2.95205i) q^{6} +(-4.18817 - 2.01692i) q^{7} +(-0.581700 + 2.76796i) q^{8} +(1.77615 + 2.22723i) q^{9} +(-3.40789 - 1.31492i) q^{10} +(1.61552 - 2.02580i) q^{11} +(0.305936 - 4.82714i) q^{12} +(-2.33204 - 1.85974i) q^{13} +(-3.31970 - 5.67425i) q^{14} +(6.08990 + 1.38998i) q^{15} +(-2.86883 + 2.78744i) q^{16} +7.17084i q^{17} +(0.324174 + 4.01565i) q^{18} +(-2.71282 + 1.30643i) q^{19} +(-2.95891 - 4.23441i) q^{20} +(7.00931 + 8.78939i) q^{21} +(3.49529 - 1.10022i) q^{22} +(0.662184 - 2.90122i) q^{23} +(4.17193 - 5.42078i) q^{24} +(1.50584 - 0.725174i) q^{25} +(-1.26653 - 4.02367i) q^{26} +(0.0814063 + 0.356664i) q^{27} +(0.588050 - 9.27843i) q^{28} +(1.04551 - 5.28270i) q^{29} +(6.04574 + 6.44104i) q^{30} +(-0.338785 + 0.0773254i) q^{31} +(-5.56711 + 1.00365i) q^{32} +(-5.64578 + 2.71887i) q^{33} +(-5.66439 + 8.41170i) q^{34} +(11.7056 + 2.67173i) q^{35} +(-2.79177 + 4.96659i) q^{36} +(4.05796 + 5.08852i) q^{37} +(-4.21423 - 0.610418i) q^{38} +(3.12987 + 6.49924i) q^{39} +(-0.126083 - 7.30445i) q^{40} -8.13098i q^{41} +(1.27930 + 15.8471i) q^{42} +(-0.228222 + 0.999905i) q^{43} +(4.96921 + 1.47040i) q^{44} +(-5.75269 - 4.58762i) q^{45} +(3.06850 - 2.88018i) q^{46} +(-7.17379 - 5.72091i) q^{47} +(9.17583 - 3.06331i) q^{48} +(9.10841 + 11.4216i) q^{49} +(2.33924 + 0.338832i) q^{50} +(7.52444 - 15.6247i) q^{51} +(1.69268 - 5.72039i) q^{52} +(-10.9450 + 2.49812i) q^{53} +(-0.186243 + 0.482687i) q^{54} +(-2.90378 + 6.02977i) q^{55} +(8.01902 - 10.4195i) q^{56} +7.28186 q^{57} +(5.39933 - 5.37096i) q^{58} -2.42222i q^{59} +(2.00401 + 12.3313i) q^{60} +(4.89777 + 2.35864i) q^{61} +(-0.458490 - 0.176907i) q^{62} +(-2.94671 - 12.9104i) q^{63} +(-7.32325 - 3.22025i) q^{64} +(6.94127 + 3.34274i) q^{65} +(-8.77042 - 1.27037i) q^{66} +(-3.92848 + 3.13285i) q^{67} +(-13.2891 + 5.39287i) q^{68} +(-4.48712 + 5.62667i) q^{69} +(11.6207 + 12.3805i) q^{70} +(-0.274836 + 0.344633i) q^{71} +(-7.19807 + 3.62075i) q^{72} +(-9.79518 - 2.23569i) q^{73} +(0.740636 + 9.17450i) q^{74} -4.04203 q^{75} +(-4.46128 - 4.04495i) q^{76} +(-10.8520 + 5.22603i) q^{77} +(-1.46241 + 10.0962i) q^{78} +(-6.46846 + 5.15843i) q^{79} +(5.62202 - 8.66802i) q^{80} +(2.09858 - 9.19448i) q^{81} +(6.42282 - 9.53798i) q^{82} +(-2.57670 - 5.35058i) q^{83} +(-11.0173 + 19.5999i) q^{84} +(-4.12143 - 18.0572i) q^{85} +(-1.05756 + 0.992654i) q^{86} +(-7.82126 + 10.4135i) q^{87} +(4.66760 + 5.65012i) q^{88} +(4.44398 - 1.01431i) q^{89} +(-3.12430 - 9.92564i) q^{90} +(6.01603 + 12.4924i) q^{91} +(5.87458 - 0.954704i) q^{92} +(0.819322 + 0.187005i) q^{93} +(-3.89610 - 12.3776i) q^{94} +(6.08040 - 4.84895i) q^{95} +(13.1834 + 3.65477i) q^{96} +(-4.73524 - 9.83283i) q^{97} +(1.66242 + 20.5929i) q^{98} +7.38133 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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