LMFDB - Embedded newform 232.2.v.a.11.22

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("232.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.85252932689$
Analytic rank:	$0$
Dimension:	$336$
Relative dimension:	$28$ over $\Q(\zeta_{28})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label			11.22
Character	$\chi$	$=$	232.11
Dual form			232.2.v.a.211.22

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.08180 - 0.910880i) q^{2} +(0.353930 + 3.14122i) q^{3} +(0.340594 - 1.97079i) q^{4} +(3.25598 + 1.56800i) q^{5} +(3.24416 + 3.07579i) q^{6} +(-2.36410 - 1.88530i) q^{7} +(-1.42669 - 2.44224i) q^{8} +(-6.81721 + 1.55598i) q^{9} +O(q^{10})$	\(q+(1.08180 - 0.910880i) q^{2} +(0.353930 + 3.14122i) q^{3} +(0.340594 - 1.97079i) q^{4} +(3.25598 + 1.56800i) q^{5} +(3.24416 + 3.07579i) q^{6} +(-2.36410 - 1.88530i) q^{7} +(-1.42669 - 2.44224i) q^{8} +(-6.81721 + 1.55598i) q^{9} +(4.95059 - 1.26954i) q^{10} +(-0.354574 - 0.564302i) q^{11} +(6.31122 + 0.372360i) q^{12} +(-0.480777 + 2.10642i) q^{13} +(-4.27477 + 0.113882i) q^{14} +(-3.77303 + 10.7827i) q^{15} +(-3.76799 - 1.34248i) q^{16} +(4.41605 - 4.41605i) q^{17} +(-5.95756 + 7.89293i) q^{18} +(-1.43252 - 0.161406i) q^{19} +(4.19915 - 5.88279i) q^{20} +(5.08543 - 8.09341i) q^{21} +(-0.897591 - 0.287488i) q^{22} +(-1.58604 - 3.29344i) q^{23} +(7.16666 - 5.34594i) q^{24} +(5.02534 + 6.30158i) q^{25} +(1.39859 + 2.71667i) q^{26} +(-4.16837 - 11.9125i) q^{27} +(-4.52073 + 4.01700i) q^{28} +(4.84762 + 2.34533i) q^{29} +(5.74008 + 15.1015i) q^{30} +(0.443675 + 1.26795i) q^{31} +(-5.29906 + 1.97990i) q^{32} +(1.64710 - 1.31352i) q^{33} +(0.754802 - 8.79979i) q^{34} +(-4.74130 - 9.84540i) q^{35} +(0.744608 + 13.9652i) q^{36} +(-6.08047 - 3.82061i) q^{37} +(-1.69672 + 1.13024i) q^{38} +(-6.78690 - 0.764700i) q^{39} +(-0.815859 - 10.1889i) q^{40} +(-3.07342 - 3.07342i) q^{41} +(-1.87070 - 13.3877i) q^{42} +(-0.545213 + 1.55813i) q^{43} +(-1.23288 + 0.506592i) q^{44} +(-24.6365 - 5.62311i) q^{45} +(-4.71571 - 2.11816i) q^{46} +(4.38285 + 6.97527i) q^{47} +(2.88340 - 12.3112i) q^{48} +(0.476933 + 2.08958i) q^{49} +(11.1764 + 2.23958i) q^{50} +(15.4348 + 12.3088i) q^{51} +(3.98756 + 1.66494i) q^{52} +(-1.98064 + 4.11285i) q^{53} +(-15.3602 - 9.09010i) q^{54} +(-0.269663 - 2.39333i) q^{55} +(-1.23152 + 8.46344i) q^{56} -4.55698i q^{57} +(7.38048 - 1.87842i) q^{58} -8.26704 q^{59} +(19.9653 + 11.1084i) q^{60} +(6.07255 - 0.684212i) q^{61} +(1.63492 + 0.967537i) q^{62} +(19.0500 + 9.17401i) q^{63} +(-3.92909 + 6.96866i) q^{64} +(-4.86827 + 6.10462i) q^{65} +(0.585379 - 2.92128i) q^{66} +(1.85540 - 0.423483i) q^{67} +(-7.19901 - 10.2072i) q^{68} +(9.78407 - 6.14774i) q^{69} +(-14.0971 - 6.33203i) q^{70} +(0.756583 - 3.31480i) q^{71} +(13.5262 + 14.4294i) q^{72} +(-5.82782 - 2.03924i) q^{73} +(-10.0580 + 1.40543i) q^{74} +(-18.0160 + 18.0160i) q^{75} +(-0.806004 + 2.76821i) q^{76} +(-0.225632 + 2.00254i) q^{77} +(-8.03864 + 5.35480i) q^{78} +(1.20950 - 1.92491i) q^{79} +(-10.1635 - 10.2793i) q^{80} +(17.0444 - 8.20813i) q^{81} +(-6.12436 - 0.525317i) q^{82} +(3.11903 + 3.91114i) q^{83} +(-14.2183 - 12.7788i) q^{84} +(21.3029 - 7.45422i) q^{85} +(0.829457 + 2.18221i) q^{86} +(-5.65146 + 16.0575i) q^{87} +(-0.872292 + 1.67104i) q^{88} +(-5.76714 + 2.01801i) q^{89} +(-31.7738 + 16.3578i) q^{90} +(5.10785 - 4.07338i) q^{91} +(-7.03086 + 2.00401i) q^{92} +(-3.82588 + 1.84245i) q^{93} +(11.0950 + 3.55361i) q^{94} +(-4.41117 - 2.77172i) q^{95} +(-8.09478 - 15.9448i) q^{96} +(-1.81683 + 16.1248i) q^{97} +(2.41930 + 1.82608i) q^{98} +(3.29525 + 3.29525i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 336 q - 14 q^{2} - 24 q^{3} - 14 q^{4} - 14 q^{6} - 8 q^{8} - 28 q^{9}+O(q^{10}) $ 336 * q - 14 * q^2 - 24 * q^3 - 14 * q^4 - 14 * q^6 - 8 * q^8 - 28 * q^9	$ 336 q - 14 q^{2} - 24 q^{3} - 14 q^{4} - 14 q^{6} - 8 q^{8} - 28 q^{9} - 8 q^{10} - 32 q^{11} - 24 q^{12} - 14 q^{14} + 10 q^{16} - 28 q^{17} - 20 q^{18} - 24 q^{19} + 6 q^{20} - 14 q^{22} + 2 q^{24} - 52 q^{25} + 8 q^{26} - 60 q^{27} - 8 q^{30} - 4 q^{32} - 28 q^{33} - 14 q^{34} - 28 q^{35} - 38 q^{36} - 14 q^{38} - 20 q^{41} - 14 q^{42} - 16 q^{43} + 42 q^{44} - 56 q^{46} + 32 q^{48} + 12 q^{49} - 78 q^{50} - 28 q^{51} + 74 q^{52} - 124 q^{54} + 36 q^{56} - 158 q^{58} - 48 q^{59} + 200 q^{60} - 112 q^{62} + 112 q^{64} + 20 q^{65} - 136 q^{66} - 28 q^{67} + 60 q^{68} - 182 q^{70} + 48 q^{72} - 4 q^{73} - 16 q^{74} + 64 q^{75} - 10 q^{76} + 50 q^{78} - 14 q^{80} - 28 q^{81} + 10 q^{82} - 20 q^{83} - 36 q^{84} - 80 q^{88} - 28 q^{89} - 28 q^{90} - 28 q^{91} - 14 q^{92} - 106 q^{94} + 28 q^{96} - 32 q^{97} + 12 q^{98} - 32 q^{99}+O(q^{100}) $ 336 * q - 14 * q^2 - 24 * q^3 - 14 * q^4 - 14 * q^6 - 8 * q^8 - 28 * q^9 - 8 * q^10 - 32 * q^11 - 24 * q^12 - 14 * q^14 + 10 * q^16 - 28 * q^17 - 20 * q^18 - 24 * q^19 + 6 * q^20 - 14 * q^22 + 2 * q^24 - 52 * q^25 + 8 * q^26 - 60 * q^27 - 8 * q^30 - 4 * q^32 - 28 * q^33 - 14 * q^34 - 28 * q^35 - 38 * q^36 - 14 * q^38 - 20 * q^41 - 14 * q^42 - 16 * q^43 + 42 * q^44 - 56 * q^46 + 32 * q^48 + 12 * q^49 - 78 * q^50 - 28 * q^51 + 74 * q^52 - 124 * q^54 + 36 * q^56 - 158 * q^58 - 48 * q^59 + 200 * q^60 - 112 * q^62 + 112 * q^64 + 20 * q^65 - 136 * q^66 - 28 * q^67 + 60 * q^68 - 182 * q^70 + 48 * q^72 - 4 * q^73 - 16 * q^74 + 64 * q^75 - 10 * q^76 + 50 * q^78 - 14 * q^80 - 28 * q^81 + 10 * q^82 - 20 * q^83 - 36 * q^84 - 80 * q^88 - 28 * q^89 - 28 * q^90 - 28 * q^91 - 14 * q^92 - 106 * q^94 + 28 * q^96 - 32 * q^97 + 12 * q^98 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	1.08180	−	0.910880i	0.764950	−	0.644090i
$2$	1.08180	−	0.910880i	0.764950	−	0.644090i
$3$	0.353930	+	3.14122i	0.204342	+	1.81358i	0.508610	+	0.860997i	$0.330160\pi$
$3$	0.353930	+	3.14122i	0.204342	+	1.81358i	−0.304268	+	0.952586i	$0.598412\pi$
$4$	0.340594	−	1.97079i	0.170297	−	0.985393i
$5$	3.25598	+	1.56800i	1.45612	+	0.701230i	0.983645	−	0.180116i	$-0.0576472\pi$
$5$	3.25598	+	1.56800i	1.45612	+	0.701230i	0.472473	+	0.881345i	$0.343361\pi$
$6$	3.24416	+	3.07579i	1.32442	+	1.25569i
$7$	−2.36410	−	1.88530i	−0.893544	−	0.712578i	0.0648897	−	0.997892i	$-0.479330\pi$
$7$	−2.36410	−	1.88530i	−0.893544	−	0.712578i	−0.958434	+	0.285315i	$0.907902\pi$
$8$	−1.42669	−	2.44224i	−0.504413	−	0.863463i
$9$	−6.81721	+	1.55598i	−2.27240	+	0.518661i
$10$	4.95059	−	1.26954i	1.56551	−	0.401465i
$11$	−0.354574	−	0.564302i	−0.106908	−	0.170143i	0.788986	−	0.614412i	$-0.210607\pi$
$11$	−0.354574	−	0.564302i	−0.106908	−	0.170143i	−0.895894	+	0.444268i	$0.853464\pi$
$12$	6.31122	+	0.372360i	1.82189	+	0.107491i
$13$	−0.480777	+	2.10642i	−0.133344	+	0.584217i	0.863466	+	0.504406i	$0.168289\pi$
$13$	−0.480777	+	2.10642i	−0.133344	+	0.584217i	−0.996810	+	0.0798105i	$0.974568\pi$
$14$	−4.27477	+	0.113882i	−1.14248	+	0.0304362i
$15$	−3.77303	+	10.7827i	−0.974193	+	2.78408i
$16$	−3.76799	−	1.34248i	−0.941998	−	0.335619i
$17$	4.41605	−	4.41605i	1.07105	−	1.07105i	0.0737754	−	0.997275i	$-0.476495\pi$
$17$	4.41605	−	4.41605i	1.07105	−	1.07105i	0.997275	−	0.0737754i	$-0.0235048\pi$
$18$	−5.95756	+	7.89293i	−1.40421	+	1.86038i
$19$	−1.43252	−	0.161406i	−0.328642	−	0.0370291i	−0.0538981	−	0.998546i	$-0.517165\pi$
$19$	−1.43252	−	0.161406i	−0.328642	−	0.0370291i	−0.274744	+	0.961517i	$0.588593\pi$
$20$	4.19915	−	5.88279i	0.938959	−	1.31543i
$21$	5.08543	−	8.09341i	1.10973	−	1.76613i
$22$	−0.897591	−	0.287488i	−0.191367	−	0.0612927i
$23$	−1.58604	−	3.29344i	−0.330712	−	0.686730i	0.667618	−	0.744504i	$-0.267314\pi$
$23$	−1.58604	−	3.29344i	−0.330712	−	0.686730i	−0.998330	+	0.0577742i	$0.981600\pi$
$24$	7.16666	−	5.34594i	1.46289	−	1.09124i
$25$	5.02534	+	6.30158i	1.00507	+	1.26032i
$26$	1.39859	+	2.71667i	0.274287	+	0.532782i
$27$	−4.16837	−	11.9125i	−0.802203	−	2.29256i
$28$	−4.52073	+	4.01700i	−0.854337	+	0.759142i
$29$	4.84762	+	2.34533i	0.900181	+	0.435516i
$29$	4.84762	+	2.34533i	0.900181	+	0.435516i
$30$	5.74008	+	15.1015i	1.04799	+	2.75715i
$31$	0.443675	+	1.26795i	0.0796863	+	0.227730i	0.976833	−	0.214002i	$-0.0686498\pi$
$31$	0.443675	+	1.26795i	0.0796863	+	0.227730i	−0.897147	+	0.441732i	$0.854364\pi$
$32$	−5.29906	+	1.97990i	−0.936750	+	0.349999i
$33$	1.64710	−	1.31352i	0.286723	−	0.228654i
$34$	0.754802	−	8.79979i	0.129448	−	1.50915i
$35$	−4.74130	−	9.84540i	−0.801425	−	1.66418i
$36$	0.744608	+	13.9652i	0.124101	+	2.32753i
$37$	−6.08047	−	3.82061i	−0.999623	−	0.628105i	−0.0703592	−	0.997522i	$-0.522415\pi$
$37$	−6.08047	−	3.82061i	−0.999623	−	0.628105i	−0.929264	+	0.369417i	$0.879557\pi$
$38$	−1.69672	+	1.13024i	−0.275245	+	0.183350i
$39$	−6.78690	−	0.764700i	−1.08677	−	0.122450i
$40$	−0.815859	−	10.1889i	−0.128999	−	1.61101i
$41$	−3.07342	−	3.07342i	−0.479988	−	0.479988i	0.425140	−	0.905128i	$-0.360225\pi$
$41$	−3.07342	−	3.07342i	−0.479988	−	0.479988i	−0.905128	+	0.425140i	$0.860225\pi$
$42$	−1.87070	−	13.3877i	−0.288655	−	2.06576i
$43$	−0.545213	+	1.55813i	−0.0831443	+	0.237613i	−0.977949	−	0.208846i	$-0.933029\pi$
$43$	−0.545213	+	1.55813i	−0.0831443	+	0.237613i	0.894804	+	0.446459i	$0.147315\pi$
$44$	−1.23288	+	0.506592i	−0.185864	+	0.0763716i
$45$	−24.6365	−	5.62311i	−3.67259	−	0.838244i
$46$	−4.71571	−	2.11816i	−0.695293	−	0.312306i
$47$	4.38285	+	6.97527i	0.639305	+	1.01745i	0.996514	+	0.0834237i	$0.0265855\pi$
$47$	4.38285	+	6.97527i	0.639305	+	1.01745i	−0.357209	+	0.934024i	$0.616272\pi$
$48$	2.88340	−	12.3112i	0.416183	−	1.77697i
$49$	0.476933	+	2.08958i	0.0681333	+	0.298511i
$50$	11.1764	+	2.23958i	1.58058	+	0.316724i
$51$	15.4348	+	12.3088i	2.16130	+	1.72358i
$52$	3.98756	+	1.66494i	0.552975	+	0.230886i
$53$	−1.98064	+	4.11285i	−0.272062	+	0.564943i	−0.991575	−	0.129536i	$-0.958651\pi$
$53$	−1.98064	+	4.11285i	−0.272062	+	0.564943i	0.719512	+	0.694480i	$0.244365\pi$
$54$	−15.3602	−	9.09010i	−2.09026	−	1.23701i
$55$	−0.269663	−	2.39333i	−0.0363614	−	0.322716i
$56$	−1.23152	+	8.46344i	−0.164569	+	1.13098i
$57$		−	4.55698i		−	0.603587i
$58$	7.38048	−	1.87842i	0.969105	−	0.246649i
$59$	−8.26704			−1.07628			−0.538139	−	0.842856i	$-0.680872\pi$
$59$	−8.26704			−1.07628			−0.538139	+	0.842856i	$0.680872\pi$
$60$	19.9653	+	11.1084i	2.57751	+	1.43408i
$61$	6.07255	−	0.684212i	0.777511	−	0.0876044i	0.285715	−	0.958315i	$-0.407769\pi$
$61$	6.07255	−	0.684212i	0.777511	−	0.0876044i	0.491796	+	0.870710i	$0.336341\pi$
$62$	1.63492	+	0.967537i	0.207635	+	0.122877i
$63$	19.0500	+	9.17401i	2.40008	+	1.15582i
$64$	−3.92909	+	6.96866i	−0.491136	+	0.871083i
$65$	−4.86827	+	6.10462i	−0.603834	+	0.757184i
$66$	0.585379	−	2.92128i	0.0720552	−	0.359585i
$67$	1.85540	−	0.423483i	0.226673	−	0.0517366i	−0.107676	−	0.994186i	$-0.534341\pi$
$67$	1.85540	−	0.423483i	0.226673	−	0.0517366i	0.334349	+	0.942449i	$0.391484\pi$
$68$	−7.19901	−	10.2072i	−0.873008	−	1.23780i
$69$	9.78407	−	6.14774i	1.17786	−	0.740101i
$70$	−14.0971	−	6.33203i	−1.68493	−	0.756822i
$71$	0.756583	−	3.31480i	0.0897898	−	0.393395i	−0.909984	−	0.414642i	$-0.863907\pi$
$71$	0.756583	−	3.31480i	0.0897898	−	0.393395i	0.999774	+	0.0212475i	$0.00676380\pi$
$72$	13.5262	+	14.4294i	1.59407	+	1.70052i
$73$	−5.82782	−	2.03924i	−0.682095	−	0.238675i	−0.0330819	−	0.999453i	$-0.510532\pi$
$73$	−5.82782	−	2.03924i	−0.682095	−	0.238675i	−0.649013	+	0.760777i	$0.724818\pi$
$74$	−10.0580	+	1.40543i	−1.16922	+	0.163378i
$75$	−18.0160	+	18.0160i	−2.08031	+	2.08031i
$76$	−0.806004	+	2.76821i	−0.0924550	+	0.317536i
$77$	−0.225632	+	2.00254i	−0.0257132	+	0.228211i
$78$	−8.03864	+	5.35480i	−0.910196	+	0.606312i
$79$	1.20950	−	1.92491i	0.136079	−	0.216569i	−0.771732	−	0.635948i	$-0.780609\pi$
$79$	1.20950	−	1.92491i	0.136079	−	0.216569i	0.907811	+	0.419379i	$0.137752\pi$
$80$	−10.1635	−	10.2793i	−1.13631	−	1.14926i
$81$	17.0444	−	8.20813i	1.89382	−	0.912014i
$82$	−6.12436	−	0.525317i	−0.676322	−	0.0580115i
$83$	3.11903	+	3.91114i	0.342358	+	0.429304i	0.922967	−	0.384879i	$-0.125757\pi$
$83$	3.11903	+	3.91114i	0.342358	+	0.429304i	−0.580609	+	0.814183i	$0.697185\pi$
$84$	−14.2183	−	12.7788i	−1.55134	−	1.39429i
$85$	21.3029	−	7.45422i	2.31063	−	0.808524i
$86$	0.829457	+	2.18221i	0.0894427	+	0.235314i
$87$	−5.65146	+	16.0575i	−0.605901	+	1.72155i
$88$	−0.872292	+	1.67104i	−0.0929866	+	0.178134i
$89$	−5.76714	+	2.01801i	−0.611316	+	0.213909i	−0.618140	−	0.786068i	$-0.712114\pi$
$89$	−5.76714	+	2.01801i	−0.611316	+	0.213909i	0.00682412	+	0.999977i	$0.497828\pi$
$90$	−31.7738	+	16.3578i	−3.34925	+	1.72426i
$91$	5.10785	−	4.07338i	0.535448	−	0.427006i
$92$	−7.03086	+	2.00401i	−0.733018	+	0.208933i
$93$	−3.82588	+	1.84245i	−0.396725	+	0.191053i
$94$	11.0950	+	3.55361i	1.14436	+	0.366527i
$95$	−4.41117	−	2.77172i	−0.452576	−	0.284372i
$96$	−8.09478	−	15.9448i	−0.826170	−	1.62735i
$97$	−1.81683	+	16.1248i	−0.184471	+	1.63723i	0.471089	+	0.882086i	$0.343861\pi$
$97$	−1.81683	+	16.1248i	−0.184471	+	1.63723i	−0.655560	+	0.755143i	$0.727567\pi$
$98$	2.41930	+	1.82608i	0.244387	+	0.184462i
$99$	3.29525	+	3.29525i	0.331185	+	0.331185i
$100$	14.1307	−	7.75759i	1.41307	−	0.775759i
$101$	−9.21521	−	3.22454i	−0.916948	−	0.320854i	−0.169775	−	0.985483i	$-0.554304\pi$
$101$	−9.21521	−	3.22454i	−0.916948	−	0.320854i	−0.747174	+	0.664629i	$0.768590\pi$
$102$	27.9092	−	0.743515i	2.76343	−	0.0736190i
$103$	16.3838	+	3.73950i	1.61434	+	0.368463i	0.931969	−	0.362539i	$-0.118090\pi$
$103$	16.3838	+	3.73950i	1.61434	+	0.368463i	0.682375	+	0.731002i	$0.260947\pi$
$104$	5.83032	−	1.83105i	0.571710	−	0.179549i
$105$	29.2485	−	18.3780i	2.85436	−	1.79351i
$106$	1.60365	+	6.25342i	0.155760	+	0.607386i
$107$	1.87631	+	8.22065i	0.181390	+	0.794720i	0.980970	+	0.194161i	$0.0621984\pi$
$107$	1.87631	+	8.22065i	0.181390	+	0.794720i	−0.799580	+	0.600560i	$0.794945\pi$
$108$	−24.8967	+	4.15763i	−2.39569	+	0.400068i
$109$	4.31999	−	5.41710i	0.413780	−	0.518864i	−0.530643	−	0.847595i	$-0.678050\pi$
$109$	4.31999	−	5.41710i	0.413780	−	0.518864i	0.944423	+	0.328731i	$0.106621\pi$
$110$	−2.47176	−	2.34348i	−0.235673	−	0.223442i
$111$	9.84932	−	20.4523i	0.934856	−	1.94125i
$112$	6.37692	+	10.2775i	0.602562	+	0.971137i
$113$	−20.6338	+	2.32487i	−1.94106	+	0.218705i	−0.994574	−	0.104028i	$-0.966827\pi$
$113$	−20.6338	+	2.32487i	−1.94106	+	0.218705i	−0.946490	+	0.322733i	$0.895398\pi$
$114$	−4.15086	−	4.92975i	−0.388764	−	0.461714i
$115$		−	13.2103i		−	1.23186i
$116$	6.27321	−	8.75482i	0.582453	−	0.812865i
$117$		−	15.1080i		−	1.39674i
$118$	−8.94331	+	7.53029i	−0.823298	+	0.693219i
$119$	−18.7656	+	2.11437i	−1.72024	+	0.193824i
$120$	31.7169	−	6.16897i	2.89535	−	0.563147i
$121$	4.58001	−	9.51048i	0.416364	−	0.864589i
$122$	5.94607	−	6.27155i	0.538332	−	0.567800i
$123$	8.56652	−	10.7421i	0.772417	−	0.968580i
$124$	2.64997	−	0.442532i	0.237974	−	0.0397405i
$125$	2.46075	+	10.7812i	0.220096	+	0.964303i
$126$	28.9648	−	7.42783i	2.58039	−	0.661723i
$127$	−14.0354	+	8.81904i	−1.24544	+	0.782563i	−0.983216	−	0.182443i	$-0.941599\pi$
$127$	−14.0354	+	8.81904i	−1.24544	+	0.782563i	−0.262226	+	0.965007i	$0.584457\pi$
$128$	2.09712	+	11.1176i	0.185361	+	0.982670i
$129$	−5.08740	−	1.16117i	−0.447920	−	0.102235i
$130$	0.294068	+	11.0384i	0.0257915	+	0.968132i
$131$	15.6104	+	5.46232i	1.36389	+	0.477246i	0.910294	−	0.413962i	$-0.135855\pi$
$131$	15.6104	+	5.46232i	1.36389	+	0.477246i	0.453595	+	0.891208i	$0.350141\pi$
$132$	−2.02767	−	3.69346i	−0.176486	−	0.321474i
$133$	3.08231	+	3.08231i	0.267270	+	0.267270i
$134$	1.62143	−	2.14817i	0.140071	−	0.185574i
$135$	5.10666	−	45.3229i	0.439512	−	3.90077i
$136$	−17.0854	−	4.48471i	−1.46506	−	0.384561i
$137$	6.36633	+	4.00023i	0.543912	+	0.341763i	0.775799	−	0.630980i	$-0.217347\pi$
$137$	6.36633	+	4.00023i	0.543912	+	0.341763i	−0.231887	+	0.972743i	$0.574490\pi$
$138$	4.98458	−	15.5628i	0.424316	−	1.32479i
$139$	12.4755	−	6.00787i	1.05816	−	0.509581i	0.177884	−	0.984051i	$-0.443075\pi$
$139$	12.4755	−	6.00787i	1.05816	−	0.509581i	0.880271	+	0.474471i	$0.157361\pi$
$140$	−21.0180	+	5.99079i	−1.77635	+	0.506314i
$141$	−20.3596	+	16.2363i	−1.71459	+	1.36734i
$142$	−2.20092	−	4.27512i	−0.184697	−	0.358760i
$143$	1.35913	−	0.475580i	0.113656	−	0.0397700i
$144$	27.7760	+	3.28900i	2.31467	+	0.274084i
$145$	12.1063	+	15.2374i	1.00537	+	1.26540i
$146$	−8.16206	+	3.10239i	−0.675497	+	0.256756i
$147$	−6.39503	+	2.23772i	−0.527453	+	0.184564i
$148$	−9.60058	+	10.6820i	−0.789163	+	0.878057i
$149$	12.0901	+	15.1605i	0.990461	+	1.24200i	0.970225	+	0.242204i	$0.0778703\pi$
$149$	12.0901	+	15.1605i	0.990461	+	1.24200i	0.0202358	+	0.999795i	$0.493558\pi$
$150$	−3.07934	+	35.9002i	−0.251427	+	2.93124i
$151$	1.37094	−	0.660209i	0.111565	−	0.0537271i	−0.377269	−	0.926104i	$-0.623137\pi$
$151$	1.37094	−	0.660209i	0.111565	−	0.0537271i	0.488834	+	0.872377i	$0.337422\pi$
$152$	1.64957	+	3.72883i	0.133798	+	0.302448i
$153$	−23.2338	+	36.9764i	−1.87834	+	2.98937i
$154$	1.57999	+	2.37188i	0.127319	+	0.191132i
$155$	−0.543545	+	4.82410i	−0.0436586	+	0.387481i
$156$	−3.81864	+	13.1151i	−0.305736	+	1.05005i
$157$	2.11097	−	2.11097i	0.168474	−	0.168474i	−0.617834	−	0.786308i	$-0.711990\pi$
$157$	2.11097	−	2.11097i	0.168474	−	0.168474i	0.786308	+	0.617834i	$0.211990\pi$
$158$	−0.444921	−	3.18408i	−0.0353960	−	0.253312i
$159$	−13.6204	−	4.76597i	−1.08017	−	0.377966i
$160$	−20.3581	−	1.86241i	−1.60945	−	0.147236i
$161$	−2.45959	+	10.7762i	−0.193843	+	0.849281i
$162$	10.9620	−	24.4049i	0.861257	−	1.91743i
$163$	−13.1854	+	8.28496i	−1.03276	+	0.648928i	−0.938023	−	0.346574i	$-0.887345\pi$
$163$	−13.1854	+	8.28496i	−1.03276	+	0.648928i	−0.0947407	+	0.995502i	$0.530202\pi$
$164$	−7.10385	+	5.01027i	−0.554717	+	0.391236i
$165$	7.42252	−	1.69414i	0.577842	−	0.131889i
$166$	6.93676	+	1.39002i	0.538397	+	0.107886i
$167$	1.64756	−	2.06598i	0.127492	−	0.159870i	−0.713988	−	0.700158i	$-0.753113\pi$
$167$	1.64756	−	2.06598i	0.127492	−	0.159870i	0.841481	+	0.540287i	$0.181684\pi$
$168$	−27.0214	−	0.873019i	−2.08475	−	0.0673549i
$169$	7.50672	+	3.61505i	0.577440	+	0.278080i
$170$	16.2557	−	27.4684i	1.24675	−	2.10673i
$171$	10.0169	−	1.12864i	0.766013	−	0.0863089i
$172$	2.88504	+	1.60519i	0.219983	+	0.122395i
$173$	−4.04037			−0.307183			−0.153592	−	0.988134i	$-0.549084\pi$
$173$	−4.04037			−0.307183			−0.153592	+	0.988134i	$0.549084\pi$
$174$	8.51272	+	22.5189i	0.645347	+	1.70715i
$175$		−	24.3718i		−	1.84234i
$176$	0.578471	+	2.60229i	0.0436039	+	0.196155i
$177$	−2.92596	−	25.9686i	−0.219928	−	1.95192i
$178$	−4.40074	+	7.43627i	−0.329850	+	0.557372i
$179$	4.11940	−	8.55402i	0.307898	−	0.639357i	−0.688399	−	0.725332i	$-0.741686\pi$
$179$	4.11940	−	8.55402i	0.307898	−	0.639357i	0.996297	+	0.0859748i	$0.0274005\pi$
$180$	−19.4730	+	46.6380i	−1.45143	+	3.47619i
$181$	−0.547606	−	0.436701i	−0.0407032	−	0.0324597i	0.602927	−	0.797796i	$-0.294001\pi$
$181$	−0.547606	−	0.436701i	−0.0407032	−	0.0324597i	−0.643630	+	0.765337i	$0.722572\pi$
$182$	1.81533	−	9.05923i	0.134561	−	0.671515i
$183$	4.29852	+	18.8331i	0.317756	+	1.39218i
$184$	−5.78059	+	8.57222i	−0.426151	+	0.631952i
$185$	−13.8072	−	21.9740i	−1.01512	−	1.61556i
$186$	−2.46060	+	5.47808i	−0.180420	+	0.401672i
$187$	−4.05781	−	0.926168i	−0.296736	−	0.0677281i
$188$	15.2395	−	6.26193i	1.11146	−	0.456698i
$189$	−12.6043	+	36.0210i	−0.916826	+	2.62014i
$190$	−7.29672	+	1.01959i	−0.529359	+	0.0739689i
$191$	−8.09198	−	8.09198i	−0.585515	−	0.585515i	0.350899	−	0.936413i	$-0.385876\pi$
$191$	−8.09198	−	8.09198i	−0.585515	−	0.585515i	−0.936413	+	0.350899i	$0.885876\pi$
$192$	−23.2807	−	9.87570i	−1.68014	−	0.712717i
$193$	2.48612	+	0.280118i	0.178955	+	0.0201634i	0.200987	−	0.979594i	$-0.435585\pi$
$193$	2.48612	+	0.280118i	0.178955	+	0.0201634i	−0.0220323	+	0.999757i	$0.507014\pi$
$194$	12.7223	+	19.0988i	0.913411	+	1.37121i
$195$	−20.8990	−	13.1317i	−1.49661	−	0.940380i
$196$	4.28055	−	0.228234i	0.305754	−	0.0163024i
$197$	7.22745	+	15.0079i	0.514934	+	1.06927i	0.982663	+	0.185400i	$0.0593580\pi$
$197$	7.22745	+	15.0079i	0.514934	+	1.06927i	−0.467729	+	0.883872i	$0.654928\pi$
$198$	6.56639	+	0.563232i	0.466653	+	0.0400271i
$199$	−2.52800	+	2.01602i	−0.179205	+	0.142912i	−0.708984	−	0.705224i	$-0.750846\pi$
$199$	−2.52800	+	2.01602i	−0.179205	+	0.142912i	0.529779	+	0.848136i	$0.322275\pi$
$200$	8.22035	−	21.2635i	0.581266	−	1.50356i
$201$	1.98693	+	5.67833i	0.140147	+	0.400519i
$202$	−12.9062	+	4.90564i	−0.908078	+	0.345160i
$203$	−7.03859	−	14.6838i	−0.494012	−	1.03060i
$204$	29.5150	−	26.2263i	2.06647	−	1.83621i
$205$	−5.18789	−	14.8261i	−0.362338	−	1.03550i
$206$	21.1303	−	10.8783i	1.47222	−	0.757926i
$207$	15.9369	+	19.9842i	1.10769	+	1.38900i
$208$	4.63939	−	7.29155i	0.321684	−	0.505578i
$209$	0.416852	+	0.865603i	0.0288343	+	0.0598750i
$210$	14.9009	−	46.5233i	1.02826	−	3.21041i
$211$	4.78363	−	7.61310i	0.329318	−	0.524107i	−0.640493	−	0.767964i	$-0.721270\pi$
$211$	4.78363	−	7.61310i	0.329318	−	0.524107i	0.969811	+	0.243857i	$0.0784127\pi$
$212$	7.43095	+	5.30424i	0.510360	+	0.364297i
$213$	10.6803	+	1.20338i	0.731802	+	0.0824543i
$214$	9.51783	+	7.18403i	0.650625	+	0.491090i
$215$	−4.21835	+	4.21835i	−0.287689	+	0.287689i
$216$	−23.1462	+	27.1757i	−1.57490	+	1.84907i
$217$	1.34158	−	3.83402i	0.0910724	−	0.260270i
$218$	−0.260949	−	9.79522i	−0.0176737	−	0.663416i
$219$	4.34306	−	19.0282i	0.293477	−	1.28581i
$220$	−4.80858	−	0.283705i	−0.324194	−	0.0191274i
$221$	7.17894	+	11.4252i	0.482908	+	0.768543i
$222$	−7.97459	−	31.0969i	−0.535220	−	2.08709i
$223$	−1.26949	+	0.289753i	−0.0850113	+	0.0194033i	−0.264815	−	0.964299i	$-0.585311\pi$
$223$	−1.26949	+	0.289753i	−0.0850113	+	0.0194033i	0.179804	+	0.983703i	$0.442454\pi$
$224$	16.2602	+	5.30967i	1.08643	+	0.354767i
$225$	−44.0639	−	35.1398i	−2.93759	−	2.34265i
$226$	−20.2040	+	21.3100i	−1.34395	+	1.41752i
$227$	1.37967	+	0.664416i	0.0915722	+	0.0440989i	0.479109	−	0.877755i	$-0.340960\pi$
$227$	1.37967	+	0.664416i	0.0915722	+	0.0440989i	−0.387537	+	0.921854i	$0.626674\pi$
$228$	−8.98083	−	1.55208i	−0.594770	−	0.102789i
$229$	−0.619010	−	5.49386i	−0.0409053	−	0.363045i	−0.997445	−	0.0714418i	$-0.977240\pi$
$229$	−0.619010	−	5.49386i	−0.0409053	−	0.363045i	0.956539	−	0.291603i	$-0.0941886\pi$
$230$	−12.0330	−	14.2909i	−0.793431	−	0.942315i
$231$	−6.37028			−0.419134
$232$	−1.18822	−	15.1851i	−0.0780105	−	0.996953i
$233$	8.71570			0.570985			0.285492	−	0.958381i	$-0.407843\pi$
$233$	8.71570			0.570985			0.285492	+	0.958381i	$0.407843\pi$
$234$	−13.7616	−	16.3439i	−0.899623	−	1.06843i
$235$	3.33328	+	29.5836i	0.217439	+	1.92982i
$236$	−2.81571	+	16.2926i	−0.183287	+	1.06056i
$237$	6.47464	+	3.11802i	0.420573	+	0.202537i
$238$	−18.3747	+	19.3805i	−1.19106	+	1.25625i
$239$	−8.54337	−	6.81311i	−0.552624	−	0.440703i	0.306941	−	0.951728i	$-0.400694\pi$
$239$	−8.54337	−	6.81311i	−0.552624	−	0.440703i	−0.859566	+	0.511025i	$0.829266\pi$
$240$	28.6923	−	35.5639i	1.85208	−	2.29564i
$241$	16.7067	−	3.81319i	1.07617	−	0.245629i	0.352526	−	0.935802i	$-0.385323\pi$
$241$	16.7067	−	3.81319i	1.07617	−	0.245629i	0.723644	+	0.690173i	$0.242466\pi$
$242$	−3.70825	−	14.4603i	−0.238375	−	0.929544i
$243$	11.6721	+	18.5761i	0.748767	+	1.19166i
$244$	0.719840	−	12.2007i	0.0460830	−	0.781072i
$245$	−1.72357	+	7.55146i	−0.110115	+	0.482445i
$246$	−0.517462	−	19.4239i	−0.0329921	−	1.23842i
$247$	1.02871	−	2.93989i	0.0654554	−	0.187061i
$248$	2.46365	−	2.89254i	0.156442	−	0.183676i
$249$	−11.1818	+	11.1818i	−0.708620	+	0.708620i
$250$	12.4825	+	9.42172i	0.789460	+	0.595882i
$251$	−17.6857	−	1.99270i	−1.11631	−	0.125778i	−0.465522	−	0.885036i	$-0.654133\pi$
$251$	−17.6857	−	1.99270i	−1.11631	−	0.125778i	−0.650789	+	0.759258i	$0.725562\pi$
$252$	24.5683	−	34.4189i	1.54766	−	2.16819i
$253$	−1.29613	+	2.06277i	−0.0814867	+	0.129685i
$254$	−7.15047	+	22.3250i	−0.448660	+	1.40080i
$255$	30.9551	+	64.2789i	1.93848	+	4.02530i
$256$	12.3955	+	10.1169i	0.774720	+	0.632305i
$257$	−11.8864	−	14.9051i	−0.741454	−	0.929753i	0.257883	−	0.966176i	$-0.416975\pi$
$257$	−11.8864	−	14.9051i	−0.741454	−	0.929753i	−0.999336	+	0.0364229i	$0.988404\pi$
$258$	−6.56124	+	3.37786i	−0.408485	+	0.210296i
$259$	7.17180	+	20.4958i	0.445634	+	1.27355i
$260$	10.3728	+	11.6735i	0.643293	+	0.723960i
$261$	−36.6965	−	8.44576i	−2.27146	−	0.522779i
$262$	21.8629	−	8.31007i	1.35070	−	0.513398i
$263$	−9.95933	−	28.4621i	−0.614119	−	1.75505i	−0.654716	−	0.755875i	$-0.727212\pi$
$263$	−9.95933	−	28.4621i	−0.614119	−	1.75505i	0.0405974	−	0.999176i	$-0.487074\pi$
$264$	−5.55784	−	2.14863i	−0.342061	−	0.132239i
$265$	−12.8979	+	10.2857i	−0.792310	+	0.631846i
$266$	6.14207	+	0.526836i	0.376594	+	0.0323024i
$267$	−8.38018	−	17.4016i	−0.512859	−	1.06496i
$268$	−0.202656	−	3.80083i	−0.0123792	−	0.232173i
$269$	−15.7155	−	9.87472i	−0.958193	−	0.602072i	−0.0404218	−	0.999183i	$-0.512870\pi$
$269$	−15.7155	−	9.87472i	−0.958193	−	0.602072i	−0.917771	+	0.397110i	$0.870013\pi$
$270$	−35.7593	−	53.6820i	−2.17624	−	3.26698i
$271$	18.3517	+	2.06774i	1.11479	+	0.125606i	0.650085	−	0.759862i	$-0.274733\pi$
$271$	18.3517	+	2.06774i	1.11479	+	0.125606i	0.464701	+	0.885468i	$0.346162\pi$
$272$	−22.5681	+	10.7112i	−1.36839	+	0.649462i
$273$	14.6032	+	14.6032i	0.883825	+	0.883825i
$274$	10.5308	−	1.47150i	0.636191	−	0.0888968i
$275$	1.77413	−	5.07018i	0.106984	−	0.305744i
$276$	−8.78348	−	21.3762i	−0.528703	−	1.28670i
$277$	−14.1952	−	3.23996i	−0.852906	−	0.194670i	−0.226349	−	0.974046i	$-0.572679\pi$
$277$	−14.1952	−	3.23996i	−0.852906	−	0.194670i	−0.626556	+	0.779376i	$0.715536\pi$
$278$	8.02354	−	17.8630i	0.481220	−	1.07135i
$279$	−4.99753	−	7.95352i	−0.299194	−	0.476165i
$280$	−17.2805	+	25.6258i	−1.03271	+	1.53143i
$281$	0.151458	+	0.663581i	0.00903523	+	0.0395859i	0.979245	−	0.202682i	$-0.0649658\pi$
$281$	0.151458	+	0.663581i	0.00903523	+	0.0395859i	−0.970209	+	0.242268i	$0.922109\pi$
$282$	−7.23581	+	36.1096i	−0.430886	+	2.15030i
$283$	6.49873	+	5.18256i	0.386309	+	0.308071i	0.797317	−	0.603560i	$-0.206252\pi$
$283$	6.49873	+	5.18256i	0.386309	+	0.308071i	−0.411008	+	0.911632i	$0.634823\pi$
$284$	−6.27508	−	2.62006i	−0.372358	−	0.155472i
$285$	7.14533	−	14.8374i	0.423253	−	0.878894i
$286$	1.03711	−	1.75249i	0.0613258	−	0.103627i
$287$	1.47153	+	13.0602i	0.0868618	+	0.770920i
$288$	33.0441	−	21.7426i	1.94714	−	1.28119i
$289$		−	22.0031i		−	1.29430i
$290$	26.9761	+	5.45647i	1.58409	+	0.320415i
$291$	−51.2947			−3.00695
$292$	−6.00383	+	10.7908i	−0.351348	+	0.631486i
$293$	−23.8621	+	2.68861i	−1.39404	+	0.157070i	−0.776820	−	0.629723i	$-0.783168\pi$
$293$	−23.8621	+	2.68861i	−1.39404	+	0.157070i	−0.617217	+	0.786793i	$0.711740\pi$
$294$	−4.87986	+	8.24587i	−0.284599	+	0.480909i
$295$	−26.9173	−	12.9627i	−1.56719	−	0.754717i
$296$	−0.655887	+	20.3008i	−0.0381227	+	1.17996i
$297$	−5.24425	+	6.57609i	−0.304302	+	0.381583i
$298$	26.8886	+	5.38805i	1.55761	+	0.312121i
$299$	7.69991	−	1.75745i	0.445297	−	0.101636i
$300$	29.3695	+	41.6418i	1.69565	+	2.40419i
$301$	4.22649	−	2.65568i	0.243611	−	0.153071i
$302$	0.881713	−	1.96298i	0.0507369	−	0.112957i
$303$	6.86745	−	30.0883i	0.394525	−	1.72853i
$304$	5.18103	+	2.53130i	0.297153	+	0.145180i
$305$	20.8450	+	7.29396i	1.19358	+	0.417651i
$306$	8.54669	+	61.1645i	0.488582	+	3.49654i
$307$	−6.68479	+	6.68479i	−0.381521	+	0.381521i	−0.871650	−	0.490129i	$-0.836950\pi$
$307$	−6.68479	+	6.68479i	−0.381521	+	0.381521i	0.490129	+	0.871650i	$0.336950\pi$
$308$	3.86973	+	1.12673i	0.220499	+	0.0642013i
$309$	−5.94785	+	52.7886i	−0.338361	+	3.00304i
$310$	3.80617	+	5.71383i	0.216176	+	0.324524i
$311$	10.5704	−	16.8227i	0.599394	−	0.953930i	−0.399907	−	0.916556i	$-0.630958\pi$
$311$	10.5704	−	16.8227i	0.599394	−	0.953930i	0.999301	−	0.0373743i	$-0.0118994\pi$
$312$	7.81525	+	17.6662i	0.442451	+	1.00015i
$313$	16.0269	−	7.71812i	0.905891	−	0.436254i	0.0778780	−	0.996963i	$-0.475186\pi$
$313$	16.0269	−	7.71812i	0.905891	−	0.436254i	0.828013	+	0.560709i	$0.189471\pi$
$314$	0.360813	−	4.20650i	0.0203618	−	0.237387i
$315$	47.6417	+	59.7408i	2.68430	+	3.36601i
$316$	−3.38164	−	3.03928i	−0.190232	−	0.170973i
$317$	−1.51438	+	0.529904i	−0.0850560	+	0.0297624i	−0.372472	−	0.928044i	$-0.621490\pi$
$317$	−1.51438	+	0.529904i	−0.0850560	+	0.0297624i	0.287416	+	0.957806i	$0.407204\pi$
$318$	−19.0758	+	7.25069i	−1.06972	+	0.406598i
$319$	−0.395370	−	3.56711i	−0.0221365	−	0.199720i
$320$	−23.7199	+	16.5290i	−1.32598	+	0.924001i
$321$	−25.1588	+	8.80344i	−1.40423	+	0.491360i
$322$	7.15501	+	13.8981i	0.398733	+	0.774510i
$323$	−7.03886	+	5.61330i	−0.391652	+	0.312332i
$324$	−10.3713	−	36.3864i	−0.576181	−	2.02147i
$325$	−15.6899	+	7.55584i	−0.870317	+	0.419123i
$326$	−6.71744	+	20.9731i	−0.372044	+	1.16159i
$327$	18.5453	+	11.6528i	1.02556	+	0.644399i
$328$	−3.12121	+	11.8909i	−0.172340	+	0.656564i
$329$	2.78902	−	24.7532i	0.153764	−	1.36469i
$330$	6.48654	−	8.59375i	0.357072	−	0.473071i
$331$	−7.27037	−	7.27037i	−0.399616	−	0.399616i	0.478482	−	0.878097i	$-0.341187\pi$
$331$	−7.27037	−	7.27037i	−0.399616	−	0.399616i	−0.878097	+	0.478482i	$0.841187\pi$
$332$	8.77035	−	4.81483i	0.481336	−	0.264248i
$333$	47.3966	+	16.5848i	2.59732	+	0.908841i
$334$	−0.0995212	−	3.73571i	−0.00544556	−	0.204409i
$335$	6.70516	+	1.53041i	0.366342	+	0.0836152i
$336$	−30.0270	+	23.6688i	−1.63811	+	1.29124i
$337$	5.33829	−	3.35427i	0.290795	−	0.182719i	−0.378732	−	0.925506i	$-0.623640\pi$
$337$	5.33829	−	3.35427i	0.290795	−	0.182719i	0.669527	+	0.742788i	$0.266497\pi$
$338$	11.4137	−	2.92696i	0.620822	−	0.159206i
$339$	−14.6059	−	63.9924i	−0.793281	−	3.47559i
$340$	−7.43502	−	44.5224i	−0.403220	−	2.41457i
$341$	0.558190	−	0.699949i	0.0302277	−	0.0379043i
$342$	9.80828	−	10.3452i	0.530371	−	0.559403i
$343$	−6.37184	+	13.2313i	−0.344047	+	0.714421i
$344$	4.58318	−	0.891433i	0.247109	−	0.0480628i
$345$	41.4964	−	4.67552i	2.23409	−	0.251721i
$346$	−4.37088	+	3.68029i	−0.234980	+	0.197854i
$347$			12.8145i			0.687917i	0.938985	+	0.343959i	$0.111768\pi$
$347$			12.8145i			0.687917i	−0.938985	+	0.343959i	$0.888232\pi$
$348$	29.7211	+	16.6069i	1.59322	+	0.890224i
$349$		−	19.3018i		−	1.03320i	−0.856226	−	0.516602i	$-0.827197\pi$
$349$		−	19.3018i		−	1.03320i	0.856226	−	0.516602i	$-0.172803\pi$
$350$	−22.1998	−	26.3655i	−1.18663	−	1.40930i
$351$	27.0969	−	3.05308i	1.44632	−	0.162961i
$352$	2.99617	+	2.28825i	0.159696	+	0.121964i
$353$	2.28969	−	4.75459i	0.121868	−	0.253061i	−0.831106	−	0.556114i	$-0.812292\pi$
$353$	2.28969	−	4.75459i	0.121868	−	0.253061i	0.952974	+	0.303053i	$0.0980059\pi$
$354$	−26.8196	−	25.4277i	−1.42544	−	1.35147i
$355$	7.66102	−	9.60662i	0.406605	−	0.509866i
$356$	2.01281	+	12.0531i	0.106679	+	0.638814i
$357$	−13.2834	−	58.1984i	−0.703033	−	3.08019i
$358$	−3.33531	−	13.0060i	−0.176277	−	0.687391i
$359$	25.3421	−	15.9235i	1.33751	−	0.840410i	0.342431	−	0.939543i	$-0.388750\pi$
$359$	25.3421	−	15.9235i	1.33751	−	0.840410i	0.995074	+	0.0991326i	$0.0316068\pi$
$360$	21.4157	+	68.1906i	1.12871	+	3.59396i
$361$	−16.4976	−	3.76546i	−0.868293	−	0.198182i
$362$	−0.990184	+	0.0263790i	−0.0520429	+	0.00138645i
$363$	31.4955	+	11.0208i	1.65309	+	0.578440i
$364$	−6.28805	−	11.4538i	−0.329583	−	0.600345i
$365$	−15.7777	−	15.7777i	−0.825845	−	0.825845i
$366$	21.8048	+	16.4582i	1.13976	+	0.860284i
$367$	−3.38508	+	30.0434i	−0.176700	+	1.56825i	0.522067	+	0.852904i	$0.325161\pi$
$367$	−3.38508	+	30.0434i	−0.176700	+	1.56825i	−0.698767	+	0.715349i	$0.746268\pi$
$368$	1.55481	+	14.5389i	0.0810501	+	0.757891i
$369$	25.7344	+	16.1700i	1.33968	+	0.841775i
$370$	−34.9523	−	11.1948i	−1.81708	−	0.581992i
$371$	12.4364	−	5.98906i	0.645666	−	0.310936i
$372$	2.32799	+	8.16751i	0.120701	+	0.423466i
$373$	12.6368	−	10.0775i	0.654308	−	0.521793i	−0.239126	−	0.970989i	$-0.576861\pi$
$373$	12.6368	−	10.0775i	0.654308	−	0.521793i	0.893433	+	0.449196i	$0.148289\pi$
$374$	−5.23337	+	2.69424i	−0.270611	+	0.139316i
$375$	−32.9953	+	11.5456i	−1.70387	+	0.596210i
$376$	10.7823	−	20.6556i	0.556055	−	1.06523i
$377$	−7.27088	+	9.08357i	−0.374469	+	0.467828i
$378$	19.1754	+	50.4486i	0.986278	+	2.59479i
$379$	27.2766	−	9.54450i	1.40110	−	0.490268i	0.479207	−	0.877702i	$-0.340924\pi$
$379$	27.2766	−	9.54450i	1.40110	−	0.490268i	0.921897	+	0.387434i	$0.126638\pi$
$380$	−6.96488	+	7.74943i	−0.357291	+	0.397537i
$381$	−32.6701	−	40.9670i	−1.67374	−	2.09880i
$382$	−16.1247	−	1.38310i	−0.825014	−	0.0707655i
$383$	8.96143	−	4.31560i	0.457908	−	0.220517i	−0.190687	−	0.981651i	$-0.561071\pi$
$383$	8.96143	−	4.31560i	0.457908	−	0.220517i	0.648594	+	0.761134i	$0.275357\pi$
$384$	−34.1807	+	10.5224i	−1.74428	+	0.536968i
$385$	−3.87464	+	6.16645i	−0.197470	+	0.314271i
$386$	2.94464	−	1.96152i	0.149878	−	0.0998389i
$387$	1.29241	−	11.4704i	0.0656968	−	0.583075i
$388$	31.1598	+	9.07261i	1.58190	+	0.460592i
$389$	24.6963	−	24.6963i	1.25215	−	1.25215i	0.297399	−	0.954753i	$-0.403881\pi$
$389$	24.6963	−	24.6963i	1.25215	−	1.25215i	0.954753	−	0.297399i	$-0.0961193\pi$
$390$	−34.5699	+	4.83056i	−1.75052	+	0.244605i
$391$	−21.5480	−	7.53998i	−1.08973	−	0.381313i
$392$	4.42282	−	4.14598i	0.223386	−	0.209403i
$393$	−11.6334	+	50.9691i	−0.586825	+	2.57105i
$394$	21.4891	+	9.65230i	1.08261	+	0.486276i
$395$	6.95636	−	4.37097i	0.350013	−	0.219928i
$396$	7.61657	−	5.37189i	0.382747	−	0.269947i
$397$	27.6934	−	6.32084i	1.38989	−	0.317234i	0.538882	−	0.842381i	$-0.318847\pi$
$397$	27.6934	−	6.32084i	1.38989	−	0.317234i	0.851011	+	0.525147i	$0.175990\pi$
$398$	−0.898452	+	4.48364i	−0.0450353	+	0.224744i
$399$	−8.59129	+	10.7731i	−0.430103	+	0.539331i
$400$	−10.4757	−	30.4907i	−0.523786	−	1.52453i
$401$	−17.0389	−	8.20550i	−0.850882	−	0.409763i	−0.0429773	−	0.999076i	$-0.513684\pi$
$401$	−17.0389	−	8.20550i	−0.850882	−	0.409763i	−0.807905	+	0.589313i	$0.799399\pi$
$402$	7.32175	+	4.33297i	0.365176	+	0.216109i
$403$	−2.88415	+	0.324965i	−0.143670	+	0.0161877i
$404$	−9.49353	+	17.0630i	−0.472321	+	0.848914i
$405$	68.3664			3.39715
$406$	−20.9896	−	9.47368i	−1.04169	−	0.470171i
$407$			4.78591i			0.237229i
$408$	8.04041	−	55.2563i	0.398060	−	2.73560i
$409$	−1.90628	−	16.9187i	−0.0942592	−	0.836574i	−0.948517	−	0.316725i	$-0.897417\pi$
$409$	−1.90628	−	16.9187i	−0.0942592	−	0.836574i	0.854258	−	0.519849i	$-0.174012\pi$
$410$	−19.1171	−	11.3134i	−0.944126	−	0.558729i
$411$	−10.3124	+	21.4138i	−0.508671	+	1.05627i
$412$	12.9500	−	31.0153i	0.637999	−	1.52801i
$413$	19.5441	+	15.5859i	0.961701	+	0.766931i
$414$	35.4438	+	7.10239i	1.74197	+	0.349063i
$415$	4.02285	+	17.6252i	0.197474	+	0.865189i
$416$	−1.62283	−	12.1140i	−0.0795658	−	0.593935i
$417$	23.2875	+	37.0618i	1.14039	+	1.81492i
$418$	1.23941	+	0.556709i	0.0606217	+	0.0272295i
$419$	28.4481	+	6.49310i	1.38978	+	0.317209i	0.850969	−	0.525216i	$-0.176015\pi$
$419$	28.4481	+	6.49310i	1.38978	+	0.317209i	0.538814	+	0.842425i	$0.318873\pi$
$420$	−26.2573	−	63.9019i	−1.28123	−	3.11810i
$421$	−7.44459	+	21.2754i	−0.362827	+	1.03690i	0.607336	+	0.794445i	$0.292238\pi$
$421$	−7.44459	+	21.2754i	−0.362827	+	1.03690i	−0.970163	+	0.242455i	$0.922047\pi$
$422$	−1.75968	−	12.5932i	−0.0856599	−	0.613026i
$423$	−40.7322	−	40.7322i	−1.98047	−	1.98047i
$424$	12.8703	−	1.03057i	0.625039	−	0.0500488i
$425$	50.0203	+	5.63593i	2.42634	+	0.273383i
$426$	12.6501	−	8.42666i	0.612900	−	0.408273i
$427$	−15.6460	−	9.83106i	−0.757165	−	0.475758i
$428$	16.8402	−	0.897900i	0.814002	−	0.0434016i
$429$	1.97494	+	4.10100i	0.0953509	+	0.197998i
$430$	−0.721010	+	8.40583i	−0.0347702	+	0.405365i
$431$	−15.2181	+	12.1361i	−0.733032	+	0.584574i	−0.917250	−	0.398312i	$-0.869596\pi$
$431$	−15.2181	+	12.1361i	−0.733032	+	0.584574i	0.184218	+	0.982885i	$0.441025\pi$
$432$	−0.285884	+	50.4822i	−0.0137546	+	2.42882i
$433$	2.05420	+	5.87057i	0.0987187	+	0.282122i	0.982643	−	0.185509i	$-0.0593934\pi$
$433$	2.05420	+	5.87057i	0.0987187	+	0.282122i	−0.883924	+	0.467631i	$0.845108\pi$
$434$	−2.04100	−	5.36967i	−0.0979713	−	0.257752i
$435$	−43.5792	+	43.4215i	−2.08946	+	2.08190i
$436$	−9.20457	−	10.3588i	−0.440819	−	0.496097i
$437$	1.74045	+	4.97391i	0.0832568	+	0.237934i
$438$	−12.6341	−	24.5408i	−0.603680	−	1.17260i
$439$	−0.196409	−	0.246289i	−0.00937408	−	0.0117547i	0.777122	−	0.629350i	$-0.216679\pi$
$439$	−0.196409	−	0.246289i	−0.00937408	−	0.0117547i	−0.786496	+	0.617595i	$0.788107\pi$
$440$	−5.46035	+	4.07313i	−0.260312	+	0.194179i
$441$	−6.50270	−	13.5030i	−0.309652	−	0.643000i
$442$	18.1732	+	5.82068i	0.864411	+	0.276861i
$443$	5.22179	−	8.31043i	0.248095	−	0.394840i	−0.699340	−	0.714789i	$-0.746523\pi$
$443$	5.22179	−	8.31043i	0.248095	−	0.394840i	0.947435	+	0.319948i	$0.103666\pi$
$444$	−36.9525	−	26.3768i	−1.75369	−	1.25179i
$445$	−21.9419	−	2.47226i	−1.04015	−	0.117196i
$446$	−1.10941	+	1.46981i	−0.0525319	+	0.0695974i
$447$	−43.3435	+	43.3435i	−2.05008	+	2.05008i
$448$	22.4268	−	9.06707i	1.05957	−	0.428379i
$449$	−13.2002	+	37.7240i	−0.622955	+	1.78030i	0.00244146	+	0.999997i	$0.499223\pi$
$449$	−13.2002	+	37.7240i	−0.622955	+	1.78030i	−0.625397	+	0.780307i	$0.715063\pi$
$450$	−79.6766	+	2.12262i	−3.75599	+	0.100061i
$451$	−0.644581	+	2.82410i	−0.0303521	+	0.132981i
$452$	−2.44593	+	41.4566i	−0.115047	+	1.94996i
$453$	2.55908	+	4.07275i	0.120236	+	0.191354i
$454$	2.09774	−	0.537951i	0.0984518	−	0.0252473i
$455$	23.0181	−	5.25373i	1.07911	−	0.246299i
$456$	−11.1292	+	6.50142i	−0.521175	+	0.304457i
$457$	−2.04233	−	1.62871i	−0.0955363	−	0.0761877i	0.574557	−	0.818465i	$-0.305174\pi$
$457$	−2.04233	−	1.62871i	−0.0955363	−	0.0761877i	−0.670093	+	0.742277i	$0.733746\pi$
$458$	−5.67390	−	5.37943i	−0.265124	−	0.251364i
$459$	−71.0140	−	34.1986i	−3.31465	−	1.59625i
$460$	−26.0346	−	4.49934i	−1.21387	−	0.209783i
$461$	2.61766	+	23.2324i	0.121917	+	1.08204i	0.894482	+	0.447105i	$0.147545\pi$
$461$	2.61766	+	23.2324i	0.121917	+	1.08204i	−0.772565	+	0.634936i	$0.781027\pi$
$462$	−6.89139	+	5.80257i	−0.320617	+	0.269960i
$463$	26.9827			1.25399			0.626996	−	0.779023i	$-0.284284\pi$
$463$	26.9827			1.25399			0.626996	+	0.779023i	$0.284284\pi$
$464$	−15.1173	−	15.3450i	−0.701801	−	0.712373i
$465$	−15.3459			−0.711650
$466$	9.42867	−	7.93896i	0.436775	−	0.367765i
$467$	−3.48246	−	30.9077i	−0.161149	−	1.43024i	−0.770552	−	0.637377i	$-0.780019\pi$
$467$	−3.48246	−	30.9077i	−0.161149	−	1.43024i	0.609403	−	0.792860i	$-0.291409\pi$
$468$	−29.7746	−	5.14570i	−1.37633	−	0.237860i
$469$	−5.18473	−	2.49684i	−0.239409	−	0.115293i
$470$	30.5531	+	28.9675i	1.40931	+	1.33617i
$471$	7.37817	+	5.88389i	0.339968	+	0.271115i
$472$	11.7945	+	20.1901i	0.542888	+	0.929325i
$473$	1.07257	−	0.244808i	0.0493170	−	0.0112563i
$474$	9.84443	−	2.52454i	0.452170	−	0.115956i
$475$	−6.18178	−	9.83825i	−0.283639	−	0.451410i
$476$	−2.22447	+	37.7031i	−0.101958	+	1.72812i
$477$	7.10294	−	31.1200i	0.325221	−	1.42489i
$478$	−15.4482	+	0.411547i	−0.706582	+	0.0188237i
$479$	12.7786	−	36.5191i	0.583868	−	1.66860i	−0.149496	−	0.988762i	$-0.547765\pi$
$479$	12.7786	−	36.5191i	0.583868	−	1.66860i	0.733364	−	0.679836i	$-0.237949\pi$
$480$	−1.35511	−	64.6084i	−0.0618522	−	2.94896i
$481$	10.9712	−	10.9712i	0.500243	−	0.500243i
$482$	14.5999	−	19.3429i	0.665009	−	0.881044i
$483$	−34.7208	−	3.91210i	−1.57985	−	0.178007i
$484$	−17.1832	−	12.2654i	−0.781055	−	0.557519i
$485$	−31.1993	+	49.6533i	−1.41669	+	2.25464i
$486$	29.5475	+	9.46374i	1.34030	+	0.429284i
$487$	−7.56539	−	15.7097i	−0.342821	−	0.711874i	0.656269	−	0.754527i	$-0.272133\pi$
$487$	−7.56539	−	15.7097i	−0.342821	−	0.711874i	−0.999090	+	0.0426524i	$0.986419\pi$
$488$	−10.3347	−	13.8545i	−0.467829	−	0.627163i
$489$	−30.6916	−	38.4861i	−1.38792	−	1.74040i
$490$	5.01391	+	9.73916i	0.226505	+	0.439970i
$491$	−7.21926	−	20.6315i	−0.325801	−	0.931084i	−0.983989	−	0.178231i	$-0.942963\pi$
$491$	−7.21926	−	20.6315i	−0.325801	−	0.931084i	0.658188	−	0.752853i	$-0.271323\pi$
$492$	−18.2526	−	20.5415i	−0.822892	−	0.926081i
$493$	31.7644	−	11.0503i	1.43060	−	0.497679i
$494$	−1.56502	−	4.11742i	−0.0704138	−	0.185251i
$495$	5.56232	+	15.8962i	0.250008	+	0.714481i
$496$	0.0304290	−	5.37325i	0.00136630	−	0.241266i
$497$	−8.03805	+	6.41013i	−0.360556	+	0.287534i
$498$	−1.91123	+	22.2819i	−0.0856441	+	0.998474i
$499$	10.0796	+	20.9306i	0.451227	+	0.936982i	0.995198	+	0.0978785i	$0.0312057\pi$
$499$	10.0796	+	20.9306i	0.451227	+	0.936982i	−0.543972	+	0.839104i	$0.683080\pi$
$500$	22.0856	−	1.17758i	0.987699	−	0.0526629i
$501$	7.07281	+	4.44414i	0.315990	+	0.198550i
$502$	−20.9475	+	13.9538i	−0.934935	+	0.622791i
$503$	−4.83039	−	0.544254i	−0.215376	−	0.0242671i	0.00361691	−	0.999993i	$-0.498849\pi$
$503$	−4.83039	−	0.544254i	−0.215376	−	0.0242671i	−0.218993	+	0.975726i	$0.570277\pi$
$504$	−4.77342	−	59.6133i	−0.212625	−	2.65539i
$505$	−24.9485	−	24.9485i	−1.11019	−	1.11019i
$506$	0.476786	+	3.41213i	0.0211957	+	0.151688i
$507$	−8.69880	+	24.8597i	−0.386327	+	1.10406i
$508$	12.6001	+	30.6645i	0.559037	+	1.36052i
$509$	1.44121	+	0.328948i	0.0638807	+	0.0145804i	0.254342	−	0.967114i	$-0.418141\pi$
$509$	1.44121	+	0.328948i	0.0638807	+	0.0145804i	−0.190461	+	0.981695i	$0.560998\pi$
$510$	92.0377	+	41.3407i	4.07550	+	1.83060i
$511$	9.93293	+	15.8082i	0.439407	+	0.699312i
$512$	22.6248	−	0.346371i	0.999883	−	0.0153076i
$513$	4.04851	+	17.7377i	0.178746	+	0.783138i
$514$	−26.4355	−	5.29726i	−1.16602	−	0.233652i
$515$	47.4818	+	37.8655i	2.09230	+	1.66855i
$516$	−4.02114	+	9.63068i	−0.177021	+	0.423967i
$517$	2.38211	−	4.94650i	0.104765	−	0.217547i
$518$	26.4277	+	15.6398i	1.16117	+	0.687173i
$519$	−1.43001	−	12.6917i	−0.0627704	−	0.557103i
$520$	21.8545	+	3.18007i	0.958382	+	0.139455i
$521$			18.2208i			0.798269i	0.916892	+	0.399134i	$0.130689\pi$
$521$			18.2208i			0.798269i	−0.916892	+	0.399134i	$0.869311\pi$
$522$	−47.3915	+	24.2895i	−2.07427	+	1.06312i
$523$	13.6279			0.595904			0.297952	−	0.954581i	$-0.403696\pi$
$523$	13.6279			0.595904			0.297952	+	0.954581i	$0.403696\pi$
$524$	16.0819	−	28.9044i	0.702541	−	1.26269i
$525$	76.5572	−	8.62593i	3.34123	−	0.376466i
$526$	−36.6996	−	21.7187i	−1.60018	−	0.946978i
$527$	7.55862	+	3.64004i	0.329259	+	0.158563i
$528$	−7.96963	+	2.73813i	−0.346834	+	0.119162i
$529$	6.00903	−	7.53508i	0.261262	−	0.327612i
$530$	−4.58390	+	22.8755i	−0.199112	+	0.993650i
$531$	56.3581	−	12.8634i	2.44573	−	0.558223i
$532$	7.12439	−	5.02476i	0.308882	−	0.217851i
$533$	7.95157	−	4.99630i	0.344421	−	0.216414i
$534$	−24.9165	−	11.1918i	−1.07824	−	0.484316i
$535$	−6.78073	+	29.7083i	−0.293157	+	1.28440i
$536$	−3.68133	−	3.92715i	−0.159009	−	0.169627i
$537$	28.3280	+	9.91240i	1.22244	+	0.427752i
$538$	−25.9958	+	3.63247i	−1.12076	+	0.156607i
$539$	1.01005	−	1.01005i	0.0435057	−	0.0435057i
$540$	−87.5824	−	25.5008i	−3.76895	−	1.09738i
$541$	2.02198	−	17.9456i	0.0869319	−	0.771542i	−0.872310	−	0.488954i	$-0.837379\pi$
$541$	2.02198	−	17.9456i	0.0869319	−	0.771542i	0.959241	−	0.282588i	$-0.0911928\pi$
$542$	21.7364	−	14.4793i	0.933657	−	0.621939i
$543$	1.17796	−	1.87471i	0.0505511	−	0.0804516i
$544$	−14.6576	+	32.1442i	−0.628439	+	1.37817i
$545$	22.5598	−	10.8642i	0.966355	−	0.465372i
$546$	29.0995	+	2.49601i	1.24534	+	0.106819i
$547$	−7.37878	−	9.25270i	−0.315494	−	0.395617i	0.598647	−	0.801013i	$-0.295705\pi$
$547$	−7.37878	−	9.25270i	−0.315494	−	0.395617i	−0.914141	+	0.405396i	$0.867134\pi$
$548$	10.0519	−	11.1842i	0.429397	−	0.477766i
$549$	−40.3332	+	14.1132i	−1.72138	+	0.602337i
$550$	−2.69907	−	7.10096i	−0.115089	−	0.302786i
$551$	−6.56576	−	4.14216i	−0.279711	−	0.176462i
$552$	−28.9731	−	15.1241i	−1.23318	−	0.643725i
$553$	−6.48841	+	2.27039i	−0.275915	+	0.0965470i
$554$	−18.3076	+	9.42511i	−0.777815	+	0.400435i
$555$	64.1383	−	51.1486i	2.72252	−	2.17114i
$556$	−7.59115	−	26.6327i	−0.321936	−	1.12948i
$557$	−2.09280	+	1.00784i	−0.0886747	+	0.0427035i	−0.477695	−	0.878526i	$-0.658528\pi$
$557$	−2.09280	+	1.00784i	−0.0886747	+	0.0427035i	0.389021	+	0.921229i	$0.372813\pi$
$558$	−12.6510	−	4.05199i	−0.535562	−	0.171534i
$559$	−3.01996	−	1.89756i	−0.127731	−	0.0802584i
$560$	4.64795	+	43.4625i	0.196412	+	1.83662i
$561$	1.47311	−	13.0743i	0.0621949	−	0.551995i
$562$	0.768291	+	0.579904i	0.0324084	+	0.0244618i
$563$	16.7702	+	16.7702i	0.706778	+	0.706778i	0.965856	−	0.259078i	$-0.0834187\pi$
$563$	16.7702	+	16.7702i	0.706778	+	0.706778i	−0.259078	+	0.965856i	$0.583419\pi$
$564$	25.0638	+	45.6544i	1.05538	+	1.92240i
$565$	−70.8286	−	24.7840i	−2.97978	−	1.04267i
$566$	11.7510	−	0.313053i	0.493933	−	0.0131586i
$567$	−55.7693	−	12.7290i	−2.34209	−	0.534567i
$568$	−9.17497	+	2.88146i	−0.384973	+	0.120903i
$569$	−29.3028	+	18.4122i	−1.22844	+	0.771878i	−0.980428	−	0.196880i	$-0.936919\pi$
$569$	−29.3028	+	18.4122i	−1.22844	+	0.771878i	−0.248009	+	0.968758i	$0.579776\pi$
$570$	−5.78529	−	22.5597i	−0.242319	−	0.944923i
$571$	−0.0734919	−	0.321989i	−0.00307554	−	0.0134748i	0.973367	−	0.229253i	$-0.0736283\pi$
$571$	−0.0734919	−	0.321989i	−0.00307554	−	0.0134748i	−0.976442	+	0.215778i	$0.930771\pi$
$572$	−0.474355	−	2.84053i	−0.0198338	−	0.118769i
$573$	22.5547	−	28.2827i	0.942235	−	1.18153i
$574$	13.4882	+	12.7882i	0.562986	+	0.533768i
$575$	12.7835	−	26.5452i	0.533108	−	1.10701i
$576$	15.9423	−	53.6204i	0.664262	−	2.23418i
$577$	−0.240527	+	0.0271009i	−0.0100133	+	0.00112822i	−0.116970	−	0.993135i	$-0.537318\pi$
$577$	−0.240527	+	0.0271009i	−0.0100133	+	0.00112822i	0.106956	+	0.994264i	$0.465889\pi$
$578$	−20.0421	−	23.8030i	−0.833644	−	0.990073i
$579$			7.90859i			0.328670i
$580$	34.1530	−	18.6691i	1.41812	−	0.775194i
$581$		−	15.1266i		−	0.627559i
$582$	−55.4907	+	46.7233i	−2.30016	+	1.93674i
$583$	3.02317	−	0.340630i	0.125207	−	0.0141074i
$584$	3.33419	+	17.1423i	0.137970	+	0.709354i
$585$	23.6893	−	49.1914i	0.979432	−	2.03381i
$586$	−23.3650	+	24.6440i	−0.965201	+	1.01804i
$587$	−17.5970	+	22.0659i	−0.726305	+	0.910758i	−0.998676	−	0.0514347i	$-0.983621\pi$
$587$	−17.5970	+	22.0659i	−0.726305	+	0.910758i	0.272371	+	0.962192i	$0.412192\pi$
$588$	2.23195	+	13.3654i	0.0920441	+	0.551179i
$589$	−0.430917	−	1.88797i	−0.0177556	−	0.0777926i
$590$	−40.9267	+	10.4954i	−1.68493	+	0.432088i
$591$	−44.5852	+	28.0148i	−1.83399	+	1.15237i
$592$	17.7821	+	22.5589i	0.730839	+	0.927166i
$593$	−3.72625	−	0.850493i	−0.153019	−	0.0349255i	0.145325	−	0.989384i	$-0.453577\pi$
$593$	−3.72625	−	0.850493i	−0.153019	−	0.0349255i	−0.298344	+	0.954458i	$0.596434\pi$
$594$	0.316780	+	11.8909i	0.0129976	+	0.487890i
$595$	−64.4157	−	22.5400i	−2.64078	−	0.924050i
$596$	33.9960	−	18.6634i	1.39253	−	0.764485i
$597$	−7.22748	−	7.22748i	−0.295801	−	0.295801i
$598$	6.72896	−	8.91492i	0.275167	−	0.364558i
$599$	−4.11551	+	36.5261i	−0.168155	+	1.49242i	0.572152	+	0.820148i	$0.306109\pi$
$599$	−4.11551	+	36.5261i	−0.168155	+	1.49242i	−0.740307	+	0.672269i	$0.765320\pi$
$600$	69.7028	+	18.2961i	2.84560	+	0.746936i
$601$	−32.2074	−	20.2372i	−1.31377	−	0.825493i	−0.321177	−	0.947019i	$-0.604078\pi$
$601$	−32.2074	−	20.2372i	−1.31377	−	0.825493i	−0.992588	+	0.121526i	$0.961221\pi$
$602$	2.15322	−	6.72274i	0.0877587	−	0.273998i
$603$	−11.9897	+	5.77394i	−0.488258	+	0.235133i
$604$	−0.834197	−	2.92669i	−0.0339430	−	0.119085i
$605$	29.8248	−	23.7845i	1.21255	−	0.966978i
$606$	−19.9776	−	38.8050i	−0.811534	−	1.57635i
$607$	−8.25397	+	2.88819i	−0.335018	+	0.117228i	−0.492545	−	0.870287i	$-0.663933\pi$
$607$	−8.25397	+	2.88819i	−0.335018	+	0.117228i	0.157527	+	0.987515i	$0.449648\pi$
$608$	7.91057	−	1.98094i	0.320816	−	0.0803376i
$609$	43.6339	−	27.3068i	1.76814	−	1.10653i
$610$	29.1941	−	11.0966i	1.18203	−	0.449289i
$611$	−16.8001	+	5.87859i	−0.679658	+	0.237822i
$612$	64.9593	+	58.3829i	2.62583	+	2.35999i
$613$	1.35198	+	1.69533i	0.0546060	+	0.0684738i	0.808384	−	0.588655i	$-0.200342\pi$
$613$	1.35198	+	1.69533i	0.0546060	+	0.0684738i	−0.753778	+	0.657129i	$0.771771\pi$
$614$	−1.14258	+	13.3207i	−0.0461107	+	0.537578i
$615$	44.7360	−	21.5437i	1.80393	−	0.868726i
$616$	5.21260	−	2.30597i	0.210022	−	0.0929101i
$617$	2.76588	−	4.40187i	0.111350	−	0.177213i	−0.786400	−	0.617717i	$-0.788058\pi$
$617$	2.76588	−	4.40187i	0.111350	−	0.177213i	0.897750	+	0.440505i	$0.145200\pi$
$618$	41.6497	+	62.5247i	1.67540	+	2.51511i
$619$	−3.77259	+	33.4827i	−0.151633	+	1.34578i	0.655403	+	0.755280i	$0.272499\pi$
$619$	−3.77259	+	33.4827i	−0.151633	+	1.34578i	−0.807036	+	0.590502i	$0.798930\pi$
$620$	9.32214	+	2.71427i	0.374386	+	0.109008i
$621$	−32.6220	+	32.6220i	−1.30907	+	1.30907i
$622$	−3.88838	−	27.8273i	−0.155910	−	1.11577i
$623$	17.4386	+	6.10204i	0.698664	+	0.244473i
$624$	24.5464	+	11.9926i	0.982642	+	0.480090i
$625$	0.0748088	−	0.327759i	0.00299235	−	0.0131104i
$626$	10.3076	−	22.9480i	0.411975	−	0.917188i
$627$	−2.57151	+	1.61579i	−0.102696	+	0.0645284i
$628$	−3.44129	−	4.87926i	−0.137322	−	0.194704i
$629$	−43.7237	+	9.97965i	−1.74338	+	0.397915i
$630$	105.956	+	21.2319i	4.22137	+	0.845898i
$631$	−9.16702	+	11.4951i	−0.364933	+	0.457612i	−0.930068	−	0.367387i	$-0.880253\pi$
$631$	−9.16702	+	11.4951i	−0.364933	+	0.457612i	0.565135	+	0.824998i	$0.308824\pi$
$632$	−6.42668	−	0.207636i	−0.255640	−	0.00825931i
$633$	25.6075	+	12.3319i	1.01781	+	0.490149i
$634$	−1.15558	+	1.95267i	−0.0458939	+	0.0775504i
$635$	−59.5273	+	6.70711i	−2.36227	+	0.266164i
$636$	−14.0317	+	25.2196i	−0.556394	+	1.00002i
$637$	−4.63084			−0.183481
$638$	−3.67693	−	3.49878i	−0.145571	−	0.138518i
$639$			23.7749i			0.940522i
$640$	−10.6043	+	39.4871i	−0.419170	+	1.56087i
$641$	−0.208283	−	1.84856i	−0.00822669	−	0.0730139i	0.988928	−	0.148396i	$-0.0474110\pi$
$641$	−0.208283	−	1.84856i	−0.00822669	−	0.0730139i	−0.997155	+	0.0753820i	$0.975982\pi$
$642$	−19.1980	+	32.4402i	−0.757683	+	1.28031i
$643$	−14.6322	+	30.3840i	−0.577036	+	1.19823i	0.384391	+	0.923170i	$0.374411\pi$
$643$	−14.6322	+	30.3840i	−0.577036	+	1.19823i	−0.961428	+	0.275058i	$0.911303\pi$
$644$	20.3998	+	8.51763i	0.803865	+	0.335641i
$645$	−14.7438	−	11.7578i	−0.580535	−	0.462961i
$646$	−2.50161	+	12.4840i	−0.0984245	+	0.491178i
$647$	−4.22448	−	18.5087i	−0.166082	−	0.727651i	−0.987538	−	0.157380i	$-0.949695\pi$
$647$	−4.22448	−	18.5087i	−0.166082	−	0.727651i	0.821457	−	0.570271i	$-0.193162\pi$
$648$	−44.3633	−	29.9159i	−1.74276	−	1.17521i
$649$	2.93128	+	4.66511i	0.115063	+	0.183121i
$650$	−10.0909	+	22.4655i	−0.395796	+	0.881170i
$651$	12.5183	+	2.85722i	0.490631	+	0.111983i
$652$	11.8370	+	28.8075i	0.463573	+	1.12819i
$653$	8.28802	−	23.6858i	0.324335	−	0.926897i	−0.660104	−	0.751174i	$-0.729488\pi$
$653$	8.28802	−	23.6858i	0.324335	−	0.926897i	0.984440	−	0.175723i	$-0.0562264\pi$
$654$	30.6766	−	4.28653i	1.19955	−	0.167616i
$655$	42.2623	+	42.2623i	1.65133	+	1.65133i
$656$	7.45464	+	15.7066i	0.291055	+	0.613241i
$657$	42.9025	+	4.83395i	1.67379	+	0.188590i
$658$	−19.5301	−	29.3186i	−0.761361	−	1.14296i
$659$	10.5585	+	6.63431i	0.411299	+	0.258436i	0.721751	−	0.692153i	$-0.243338\pi$
$659$	10.5585	+	6.63431i	0.411299	+	0.258436i	−0.310452	+	0.950589i	$0.600480\pi$
$660$	−0.810724	−	15.2052i	−0.0315574	−	0.591862i
$661$	15.3061	+	31.7835i	0.595340	+	1.23624i	0.953166	+	0.302448i	$0.0978039\pi$
$661$	15.3061	+	31.7835i	0.595340	+	1.23624i	−0.357826	+	0.933788i	$0.616482\pi$
$662$	−14.4875	−	1.24267i	−0.563074	−	0.0482977i
$663$	−33.3483	+	26.5944i	−1.29514	+	1.03284i
$664$	5.10205	−	13.1974i	0.197998	−	0.512160i
$665$	5.20289	+	14.8690i	0.201759	+	0.576595i
$666$	66.3805	−	25.2312i	2.57219	−	0.977688i
$667$	0.0356836	−	19.6851i	0.00138167	−	0.762211i
$668$	−3.51045	−	3.95065i	−0.135823	−	0.152855i
$669$	−1.35949	−	3.88519i	−0.0525608	−	0.150210i
$670$	8.64768	−	4.45200i	0.334089	−	0.171996i
$671$	−2.53927	−	3.18415i	−0.0980275	−	0.122923i
$672$	−10.9239	+	52.9560i	−0.421397	+	2.04282i
$673$	4.99758	+	10.3776i	0.192643	+	0.400027i	0.974808	−	0.223044i	$-0.0715993\pi$
$673$	4.99758	+	10.3776i	0.192643	+	0.400027i	−0.782166	+	0.623070i	$0.785885\pi$
$674$	2.71964	−	8.49120i	0.104756	−	0.327069i
$675$	54.1201	−	86.1317i	2.08309	−	3.31521i
$676$	9.68123	−	13.5629i	0.372355	−	0.521649i
$677$	−33.7272	−	3.80015i	−1.29624	−	0.146051i	−0.563249	−	0.826287i	$-0.690449\pi$
$677$	−33.7272	−	3.80015i	−1.29624	−	0.146051i	−0.732993	+	0.680236i	$0.761877\pi$
$678$	−74.0901	−	55.9230i	−2.84541	−	2.14771i
$679$	34.6954	−	34.6954i	1.33149	−	1.33149i
$680$	−48.5978	−	41.3920i	−1.86364	−	1.58731i
$681$	−1.59877	+	4.56902i	−0.0612649	+	0.175085i
$682$	−0.0337176	−	1.26565i	−0.00129111	−	0.0484643i
$683$	1.02080	−	4.47240i	0.0390597	−	0.171132i	−0.951636	−	0.307228i	$-0.900599\pi$
$683$	1.02080	−	4.47240i	0.0390597	−	0.171132i	0.990696	+	0.136096i	$0.0434557\pi$
$684$	1.18740	−	20.1256i	0.0454015	−	0.769522i
$685$	14.4563	+	23.0070i	0.552346	+	0.879054i
$686$	5.15902	+	20.1176i	0.196972	+	0.768094i
$687$	17.0383	−	3.88889i	0.650053	−	0.148370i
$688$	4.14611	−	5.13909i	0.158069	−	0.195926i
$689$	−7.71116	−	6.14944i	−0.293772	−	0.234275i
$690$	40.6321	−	42.8562i	1.54684	−	1.63151i
$691$	−32.2882	−	15.5492i	−1.22830	−	0.591519i	−0.296690	−	0.954974i	$-0.595883\pi$
$691$	−32.2882	−	15.5492i	−1.22830	−	0.591519i	−0.931612	+	0.363455i	$0.881597\pi$
$692$	−1.37613	+	7.96270i	−0.0523124	+	0.302696i
$693$	−1.57774	−	14.0028i	−0.0599334	−	0.531923i
$694$	11.6725	+	13.8627i	0.443080	+	0.526222i
$695$	50.0402			1.89813
$696$	47.2793	−	9.10694i	1.79212	−	0.345198i
$697$	−27.1448			−1.02818
$698$	−17.5817	−	20.8808i	−0.665476	−	0.790349i
$699$	3.08475	+	27.3779i	0.116676	+	1.03553i
$700$	−48.0316	−	8.30090i	−1.81542	−	0.313744i
$701$	−28.2278	−	13.5938i	−1.06615	−	0.513430i	−0.183285	−	0.983060i	$-0.558673\pi$
$701$	−28.2278	−	13.5938i	−1.06615	−	0.513430i	−0.882864	+	0.469630i	$0.844388\pi$
$702$	26.5325	−	27.9848i	1.00140	−	1.05622i
$703$	8.09371	+	6.45452i	0.305260	+	0.243437i
$704$	5.32558	−	0.253718i	0.200715	−	0.00956236i
$705$	−91.7490	+	20.9411i	−3.45547	+	0.788688i
$706$	−1.85387	−	7.22916i	−0.0697713	−	0.272073i
$707$	15.7064	+	24.9966i	0.590700	+	0.940094i
$708$	−52.1751	−	3.07831i	−1.96086	−	0.115690i
$709$	−9.87441	+	43.2626i	−0.370841	+	1.62476i	0.353580	+	0.935404i	$0.384964\pi$
$709$	−9.87441	+	43.2626i	−0.370841	+	1.62476i	−0.724422	+	0.689357i	$0.757893\pi$
$710$	−0.462765	−	17.3707i	−0.0173673	−	0.651912i
$711$	−5.25029	+	15.0045i	−0.196901	+	0.562712i
$712$	13.1564	+	11.2057i	0.493058	+	0.419950i
$713$	3.47223	−	3.47223i	0.130036	−	0.130036i
$714$	−67.3818	−	50.8596i	−2.52170	−	1.90337i
$715$	5.17101	+	0.582633i	0.193385	+	0.0217892i
$716$	−15.4551	−	11.0319i	−0.577584	−	0.412281i
$717$	18.3777	−	29.2479i	0.686328	−	1.09228i
$718$	12.9108	−	40.3097i	0.481825	−	1.50435i
$719$	−18.2390	−	37.8736i	−0.680199	−	1.41245i	−0.899557	−	0.436803i	$-0.856111\pi$
$719$	−18.2390	−	37.8736i	−0.680199	−	1.41245i	0.219358	−	0.975644i	$-0.429604\pi$
$720$	85.2811	+	54.2617i	3.17824	+	2.02221i
$721$	−31.6828	−	39.7290i	−1.17993	−	1.47958i
$722$	−21.2770	+	10.9538i	−0.791848	+	0.407659i
$723$	17.8910	+	51.1297i	0.665375	+	1.90153i
$724$	−1.04716	+	0.930476i	−0.0389172	+	0.0345809i
$725$	9.58169	+	42.3337i	0.355855	+	1.57224i
$726$	44.1105	−	16.7664i	1.63710	−	0.622258i
$727$	1.11432	+	3.18454i	0.0413278	+	0.118108i	0.962698	−	0.270578i	$-0.0872148\pi$
$727$	1.11432	+	3.18454i	0.0413278	+	0.118108i	−0.921370	+	0.388686i	$0.872929\pi$
$728$	−17.2355	−	6.66315i	−0.638791	−	0.246953i
$729$	−9.84880	+	7.85415i	−0.364770	+	0.290895i
$730$	−31.4400	−	2.69677i	−1.16365	−	0.0998119i
$731$	4.47310	+	9.28848i	0.165443	+	0.343547i
$732$	38.5800	−	2.05704i	1.42596	−	0.0760303i
$733$	−3.52270	−	2.21346i	−0.130114	−	0.0817559i	0.465402	−	0.885099i	$-0.345910\pi$
$733$	−3.52270	−	2.21346i	−0.130114	−	0.0817559i	−0.595516	+	0.803343i	$0.703052\pi$
$734$	23.7040	+	35.5844i	0.874929	+	1.31345i
$735$	−24.3308	−	2.74142i	−0.897455	−	0.101119i
$736$	14.9252	+	14.3119i	0.550149	+	0.527545i
$737$	−0.896849	−	0.896849i	−0.0330358	−	0.0330358i
$738$	42.5684	−	5.94820i	1.56696	−	0.218956i
$739$	−2.18112	+	6.23328i	−0.0802338	+	0.229295i	−0.977012	−	0.213186i	$-0.931616\pi$
$739$	−2.18112	+	6.23328i	−0.0802338	+	0.229295i	0.896778	+	0.442481i	$0.145902\pi$
$740$	−48.0087	+	19.7268i	−1.76483	+	0.725170i
$741$	9.59893	+	2.19089i	0.352626	+	0.0804845i
$742$	7.99842	−	17.8071i	0.293631	−	0.653717i
$743$	27.3260	+	43.4891i	1.00249	+	1.59546i	0.785093	+	0.619378i	$0.212615\pi$
$743$	27.3260	+	43.4891i	1.00249	+	1.59546i	0.217402	+	0.976082i	$0.430242\pi$
$744$	9.95805	+	6.71511i	0.365080	+	0.246188i
$745$	15.5935	+	68.3197i	0.571302	+	2.50304i
$746$	4.49111	−	22.4125i	0.164431	−	0.820578i
$747$	−27.3488	−	21.8099i	−1.00064	−	0.797983i
$748$	−3.20734	+	7.68162i	−0.117272	+	0.280868i
$749$	11.0626	−	22.9718i	0.404220	−	0.839372i
$750$	−25.1778	+	42.5448i	−0.919362	+	1.55352i
$751$	−3.50414	−	31.1001i	−0.127868	−	1.13486i	−0.879709	−	0.475513i	$-0.842262\pi$
$751$	−3.50414	−	31.1001i	−0.127868	−	1.13486i	0.751841	−	0.659345i	$-0.229166\pi$
$752$	−7.15042	−	32.1666i	−0.260749	−	1.17300i
$753$		−	56.2599i		−	2.05023i
$754$	0.408385	+	16.4495i	0.0148725	+	0.599056i
$755$	5.49895			0.200127
$756$	66.6966	+	37.1089i	2.42573	+	1.34964i
$757$	−4.51406	+	0.508613i	−0.164066	+	0.0184858i	−0.193615	−	0.981077i	$-0.562021\pi$
$757$	−4.51406	+	0.508613i	−0.164066	+	0.0184858i	0.0295491	+	0.999563i	$0.490593\pi$
$758$	20.8140	−	35.1710i	0.755999	−	1.27747i
$759$	−6.93836	−	3.34134i	−0.251846	−	0.121283i
$760$	−0.475823	+	14.7275i	−0.0172599	+	0.534224i
$761$	−23.2025	+	29.0950i	−0.841088	+	1.05469i	0.156662	+	0.987652i	$0.449927\pi$
$761$	−23.2025	+	29.0950i	−0.841088	+	1.05469i	−0.997750	+	0.0670390i	$0.978645\pi$
$762$	−72.6586	−	14.5597i	−2.63214	−	0.527441i
$763$	−20.4257	+	4.66204i	−0.739461	+	0.168777i
$764$	−18.7036	+	13.1915i	−0.676674	+	0.477251i
$765$	−133.628	+	83.9640i	−4.83133	+	3.03572i
$766$	5.76350	−	12.8314i	0.208244	−	0.463618i
$767$	3.97461	−	17.4139i	0.143515	−	0.628779i
$768$	−27.3922	+	42.5177i	−0.988430	+	1.53423i
$769$	26.3317	+	9.21387i	0.949546	+	0.332261i	0.760229	−	0.649655i	$-0.225087\pi$
$769$	26.3317	+	9.21387i	0.949546	+	0.332261i	0.189317	+	0.981916i	$0.439373\pi$
$770$	1.42530	+	10.2002i	0.0513644	+	0.367590i
$771$	42.6132	−	42.6132i	1.53468	−	1.53468i
$772$	1.39881	−	4.80420i	0.0503443	−	0.172907i
$773$	0.795258	−	7.05811i	0.0286034	−	0.253862i	−0.971270	−	0.237979i	$-0.923515\pi$
$773$	0.795258	−	7.05811i	0.0286034	−	0.253862i	0.999874	−	0.0158839i	$-0.00505622\pi$
$774$	−9.05007	−	13.5860i	−0.325298	−	0.488338i
$775$	−5.76046	+	9.16773i	−0.206922	+	0.329314i
$776$	41.9728	−	18.5681i	1.50674	−	0.666555i
$777$	−61.8435	+	29.7823i	−2.21862	+	1.06843i
$778$	4.22115	−	49.2119i	0.151336	−	1.76433i
$779$	3.90667	+	4.89881i	0.139971	+	0.175518i
$780$	−32.9978	+	36.7148i	−1.18151	+	1.31460i
$781$	−2.13881	+	0.748404i	−0.0765328	+	0.0267800i
$782$	−30.1787	+	11.4709i	−1.07919	+	0.410199i
$783$	7.73206	−	67.5235i	0.276321	−	2.41309i
$784$	1.00813	−	8.51379i	0.0360047	−	0.304064i
$785$	10.1833	−	3.56329i	0.363457	−	0.127179i
$786$	33.8417	+	65.7350i	1.20709	+	2.34469i
$787$	28.6599	−	22.8555i	1.02161	−	0.814711i	0.0387891	−	0.999247i	$-0.487650\pi$
$787$	28.6599	−	22.8555i	1.02161	−	0.814711i	0.982826	+	0.184537i	$0.0590785\pi$
$788$	32.0391	−	9.13213i	1.14134	−	0.325319i
$789$	85.8809	−	41.3581i	3.05744	−	1.47239i
$790$	3.54398	−	11.0649i	0.126089	−	0.393673i
$791$	53.1634	+	33.4048i	1.89027	+	1.18774i
$792$	3.34648	−	12.7491i	0.118912	−	0.453020i
$793$	−1.47831	+	13.1203i	−0.0524962	+	0.465916i
$794$	24.2013	−	32.0633i	0.858872	−	1.13788i
$795$	−36.8746	−	36.8746i	−1.30781	−	1.30781i
$796$	3.11211	+	5.66879i	0.110306	+	0.200925i
$797$	28.6154	+	10.0130i	1.01361	+	0.354677i	0.785436	−	0.618943i	$-0.212439\pi$
$797$	28.6154	+	10.0130i	1.01361	+	0.354677i	0.228174	+	0.973620i	$0.426725\pi$
$798$	0.518958	+	19.4800i	0.0183709	+	0.689586i
$799$	50.1581	+	11.4483i	1.77447	+	0.405010i
$800$	−39.1060	−	23.4428i	−1.38261	−	0.828827i
$801$	36.1758	−	22.7308i	1.27821	−	0.803152i
$802$	−25.9070	+	6.64367i	−0.914807	+	0.234596i
$803$	0.915647	+	4.01171i	0.0323125	+	0.141570i
$804$	11.8675	−	1.98181i	0.418535	−	0.0698932i
$805$	−24.9054	+	31.2304i	−0.877799	+	1.10073i
$806$	−2.82407	+	2.97866i	−0.0994738	+	0.104919i
$807$	25.4565	−	52.8609i	0.896110	−	1.86079i
$808$	5.27218	+	27.1062i	0.185475	+	0.953593i
$809$	14.5974	−	1.64473i	0.513216	−	0.0578255i	0.148441	−	0.988921i	$-0.452575\pi$
$809$	14.5974	−	1.64473i	0.513216	−	0.0578255i	0.364775	+	0.931096i	$0.381146\pi$
$810$	73.9590	−	62.2736i	2.59865	−	2.18807i
$811$			9.46541i			0.332376i	0.986094	+	0.166188i	$0.0531458\pi$
$811$			9.46541i			0.332376i	−0.986094	+	0.166188i	$0.946854\pi$
$812$	−31.3360	+	8.87033i	−1.09968	+	0.311288i
$813$			58.3785i			2.04742i
$814$	4.35939	+	5.17741i	0.152797	+	0.181468i
$815$	−55.9223	+	6.30093i	−1.95887	+	0.220712i
$816$	−41.6338	−	67.1003i	−1.45747	−	2.34898i
$817$	1.03252	−	2.14405i	0.0361233	−	0.0750108i
$818$	−17.4731	−	16.5663i	−0.610932	−	0.579226i
$819$	−28.4832	+	35.7168i	−0.995283	+	1.24805i
$820$	−30.9861	+	5.17452i	−1.08208	+	0.180702i
$821$	12.0121	+	52.6283i	0.419224	+	1.83674i	0.536843	+	0.843682i	$0.319617\pi$
$821$	12.0121	+	52.6283i	0.419224	+	1.83674i	−0.117619	+	0.993059i	$0.537526\pi$
$822$	8.34950	+	32.5589i	0.291222	+	1.13562i
$823$	−27.9667	+	17.5726i	−0.974857	+	0.612543i	−0.922464	−	0.386083i	$-0.873828\pi$
$823$	−27.9667	+	17.5726i	−0.974857	+	0.612543i	−0.0523932	+	0.998627i	$0.516685\pi$
$824$	−14.2419	−	45.3483i	−0.496141	−	1.57978i
$825$	16.5545	+	3.77845i	0.576353	+	0.131549i
$826$	35.3397	−	0.941467i	1.22963	−	0.0327578i
$827$	−50.0796	−	17.5236i	−1.74144	−	0.609356i	−0.743222	−	0.669045i	$-0.766703\pi$
$827$	−50.0796	−	17.5236i	−1.74144	−	0.609356i	−0.998217	+	0.0596891i	$0.980989\pi$
$828$	44.8126	−	24.6017i	1.55735	−	0.854967i
$829$	−3.61833	−	3.61833i	−0.125670	−	0.125670i	0.641474	−	0.767144i	$-0.278323\pi$
$829$	−3.61833	−	3.61833i	−0.125670	−	0.125670i	−0.767144	+	0.641474i	$0.778323\pi$
$830$	20.4064	+	15.4027i	0.708317	+	0.534636i
$831$	5.15331	−	45.7369i	0.178766	−	1.58659i
$832$	−12.7899	−	11.6267i	−0.443411	−	0.403083i
$833$	11.3339	+	7.12153i	0.392695	+	0.246747i
$834$	58.9513	+	18.8815i	2.04132	+	0.653811i
$835$	8.60388	−	4.14341i	0.297750	−	0.143389i
$836$	1.84790	−	0.526707i	0.0639108	−	0.0182166i
$837$	13.2551	−	10.5706i	0.458162	−	0.365372i
$838$	36.6897	−	18.8886i	1.26743	−	0.652496i
$839$	−29.2216	+	10.2251i	−1.00884	+	0.353009i	−0.783581	−	0.621290i	$-0.786609\pi$
$839$	−29.2216	+	10.2251i	−1.00884	+	0.353009i	−0.225261	+	0.974299i	$0.572323\pi$
$840$	−86.6123	−	45.2120i	−2.98841	−	1.55996i
$841$	17.9989	+	22.7385i	0.620651	+	0.784087i
$842$	11.3258	+	29.7969i	0.390312	+	1.02687i
$843$	−2.03085	+	0.710625i	−0.0699461	+	0.0244752i
$844$	−13.3745	−	12.0205i	−0.460369	−	0.413762i
$845$	18.7733	+	23.5410i	0.645823	+	0.809836i
$846$	−81.1664	−	6.96205i	−2.79056	−	0.239360i
$847$	−28.7577	+	13.8490i	−0.988127	+	0.475857i
$848$	12.9845	−	12.8382i	0.445888	−	0.440866i
$849$	−13.9795	+	22.2482i	−0.479774	+	0.763556i
$850$	59.2457	−	39.4655i	2.03211	−	1.35366i
$851$	−2.93911	+	26.0853i	−0.100751	+	0.894192i
$852$	6.00925	−	20.6387i	0.205874	−	0.707071i
$853$	−11.3838	+	11.3838i	−0.389773	+	0.389773i	−0.874606	−	0.484834i	$-0.838880\pi$
$853$	−11.3838	+	11.3838i	−0.389773	+	0.389773i	0.484834	+	0.874606i	$0.338880\pi$
$854$	−25.8809	+	3.61641i	−0.885625	+	0.123751i
$855$	34.3846	+	12.0317i	1.17593	+	0.411475i
$856$	17.3999	−	16.3108i	0.594716	−	0.557490i
$857$	8.81281	−	38.6115i	0.301040	−	1.31894i	−0.567520	−	0.823359i	$-0.692097\pi$
$857$	8.81281	−	38.6115i	0.301040	−	1.31894i	0.868560	−	0.495583i	$-0.165046\pi$
$858$	5.87202	+	2.63754i	0.200467	+	0.0900442i
$859$	40.3121	−	25.3298i	1.37543	−	0.864240i	0.377344	−	0.926073i	$-0.376838\pi$
$859$	40.3121	−	25.3298i	1.37543	−	0.864240i	0.998086	+	0.0618333i	$0.0196947\pi$
$860$	6.87672	+	9.75020i	0.234494	+	0.332479i
$861$	−40.5041	+	9.24481i	−1.38038	+	0.315062i
$862$	−5.40853	+	26.9907i	−0.184215	+	0.919308i
$863$	−31.0400	+	38.9230i	−1.05662	+	1.32495i	−0.113115	+	0.993582i	$0.536083\pi$
$863$	−31.0400	+	38.9230i	−1.05662	+	1.32495i	−0.943500	+	0.331372i	$0.892489\pi$
$864$	45.6739	+	54.8722i	1.55386	+	1.86679i
$865$	−13.1554	−	6.33529i	−0.447296	−	0.215406i
$866$	7.56963	+	4.47967i	0.257227	+	0.152225i
$867$	69.1164	−	7.78755i	2.34732	−	0.264479i
$868$	−7.09909	−	3.94981i	−0.240959	−	0.134065i
$869$	−1.51509			−0.0513958
$870$	−7.59231	+	86.6689i	−0.257404	+	2.93835i
$871$			4.11186i			0.139325i
$872$	−19.3932	−	2.82192i	−0.656735	−	0.0955623i
$873$	−12.7042	−	112.753i	−0.429974	−	3.81612i
$874$	6.41346	+	3.79545i	0.216938	+	0.128383i
$875$	14.5085	−	30.1271i	0.490475	−	1.01848i
$876$	−36.0213	−	15.0401i	−1.21705	−	0.508159i
$877$	26.5134	+	21.1438i	0.895295	+	0.713974i	0.958822	−	0.284006i	$-0.0916636\pi$
$877$	26.5134	+	21.1438i	0.895295	+	0.713974i	−0.0635275	+	0.997980i	$0.520235\pi$
$878$	−0.436815	−	0.0875310i	−0.0147418	−	0.00295403i
$879$	−16.8910	−	74.0044i	−0.569720	−	2.49611i
$880$	−2.19689	+	9.38005i	−0.0740573	+	0.316201i
$881$	1.29172	+	2.05576i	0.0435191	+	0.0692602i	0.867775	−	0.496957i	$-0.165549\pi$
$881$	1.29172	+	2.05576i	0.0435191	+	0.0692602i	−0.824256	+	0.566217i	$0.808406\pi$
$882$	−19.3343	−	8.68440i	−0.651018	−	0.292419i
$883$	−13.5550	−	3.09384i	−0.456162	−	0.104116i	−0.0117350	−	0.999931i	$-0.503735\pi$
$883$	−13.5550	−	3.09384i	−0.456162	−	0.104116i	−0.444427	+	0.895815i	$0.646593\pi$
$884$	24.9618	−	10.2568i	0.839555	−	0.344973i
$885$	31.1918	−	89.1411i	1.04850	−	2.99644i
$886$	−1.92086	−	13.7467i	−0.0645326	−	0.461828i
$887$	−25.9037	−	25.9037i	−0.869762	−	0.869762i	0.122684	−	0.992446i	$-0.460850\pi$
$887$	−25.9037	−	25.9037i	−0.869762	−	0.869762i	−0.992446	+	0.122684i	$0.960850\pi$
$888$	−64.0014	+	5.12479i	−2.14775	+	0.171977i
$889$	49.8076	+	5.61197i	1.67049	+	0.188220i
$890$	−25.9888	+	17.3120i	−0.871146	+	0.580299i
$891$	−10.6754	−	6.70777i	−0.357638	−	0.224719i
$892$	0.138660	+	2.60058i	0.00464267	+	0.0870738i
$893$	−5.15267	−	10.6996i	−0.172427	−	0.358049i
$894$	−7.40837	+	86.3698i	−0.247773	+	2.88864i
$895$	26.8254	−	21.3925i	0.896673	−	0.715073i
$896$	16.0023	−	30.2369i	0.534601	−	1.01014i
$897$	8.24578	+	23.5651i	0.275319	+	0.786816i
$898$	20.0820	+	52.8337i	0.670146	+	1.76308i
$899$	−0.822988	+	7.18710i	−0.0274482	+	0.239703i
$900$	−84.2609	+	74.8721i	−2.80870	+	2.49574i
$901$	9.41593	+	26.9092i	0.313690	+	0.896475i
$902$	1.87510	+	3.64225i	0.0624341	+	0.121274i
$903$	9.83794	+	12.3364i	0.327386	+	0.410529i
$904$	35.1160	+	47.0758i	1.16794	+	1.56572i
$905$	−1.09825	−	2.28053i	−0.0365070	−	0.0758075i
$906$	6.47821	+	2.07490i	0.215224	+	0.0689339i
$907$	−11.9525	+	19.0223i	−0.396876	+	0.631625i	−0.984062	−	0.177827i	$-0.943093\pi$
$907$	−11.9525	+	19.0223i	−0.396876	+	0.631625i	0.587185	+	0.809453i	$0.300236\pi$
$908$	1.77933	−	2.49275i	0.0590492	−	0.0827247i
$909$	67.8393	+	7.64366i	2.25009	+	0.253524i
$910$	20.1155	−	26.6502i	0.666823	−	0.883447i
$911$	30.4538	−	30.4538i	1.00898	−	1.00898i	0.00901906	−	0.999959i	$-0.497129\pi$
$911$	30.4538	−	30.4538i	1.00898	−	1.00898i	0.999959	−	0.00901906i	$-0.00287089\pi$
$912$	−6.11764	+	17.1707i	−0.202575	+	0.568577i
$913$	1.10114	−	3.14687i	0.0364423	−	0.104146i
$914$	−3.69296	+	0.0983822i	−0.122152	+	0.00325419i
$915$	−15.5343	+	68.0601i	−0.513547	+	2.25000i
$916$	−11.0381	−	0.651242i	−0.364708	−	0.0215176i
$917$	−26.6064	−	42.3438i	−0.878621	−	1.39832i
$918$	−107.974	+	27.6892i	−3.56367	+	0.913879i
$919$	−8.07700	+	1.84352i	−0.266436	+	0.0608122i	−0.353652	−	0.935377i	$-0.615060\pi$
$919$	−8.07700	+	1.84352i	−0.266436	+	0.0608122i	0.0872160	+	0.996189i	$0.472203\pi$
$920$	−32.2627	+	18.8470i	−1.06367	+	0.621368i
$921$	−23.3643	−	18.6324i	−0.769881	−	0.613959i
$922$	23.9937	+	22.7485i	0.790191	+	0.749182i
$923$	6.61864	+	3.18737i	0.217855	+	0.104913i
$924$	−2.16968	+	12.5545i	−0.0713773	+	0.413012i
$925$	−6.48054	−	57.5164i	−0.213079	−	1.89113i
$926$	29.1899	−	24.5780i	0.959241	−	0.807683i
$927$	−117.510			−3.85955
$928$	−30.3313	−	2.83024i	−0.995675	−	0.0929071i
$929$	−4.20881			−0.138086			−0.0690432	−	0.997614i	$-0.521995\pi$
$929$	−4.20881			−0.138086			−0.0690432	+	0.997614i	$0.521995\pi$
$930$	−16.6013	+	13.9783i	−0.544377	+	0.458367i
$931$	−0.345944	−	3.07034i	−0.0113379	−	0.100626i
$932$	2.96852	−	17.1768i	0.0972370	−	0.562644i
$933$	56.5851	+	27.2499i	1.85251	+	0.892123i
$934$	−31.9205	−	30.2639i	−1.04447	−	0.990266i
$935$	−11.7599	−	9.37821i	−0.384590	−	0.306700i
$936$	−36.8974	+	21.5545i	−1.20603	+	0.704531i
$937$	−28.1110	+	6.41615i	−0.918346	+	0.209607i	−0.655468	−	0.755223i	$-0.727529\pi$
$937$	−28.1110	+	6.41615i	−0.918346	+	0.209607i	−0.262878	+	0.964829i	$0.584672\pi$
$938$	−7.88318	+	2.02159i	−0.257395	+	0.0660072i
$939$	29.9167	+	47.6122i	0.976295	+	1.55376i
$940$	59.4383	+	3.50684i	1.93866	+	0.114381i
$941$	−0.0157594	+	0.0690466i	−0.000513743	+	0.00225085i	−0.975184	−	0.221395i	$-0.928939\pi$
$941$	−0.0157594	+	0.0690466i	−0.000513743	+	0.00225085i	0.974670	+	0.223646i	$0.0717960\pi$
$942$	13.3412	−	0.355417i	0.434681	−	0.0115801i
$943$	−5.24757	+	14.9967i	−0.170885	+	0.488360i
$944$	31.1501	+	11.0983i	1.01385	+	0.361219i
$945$	−97.5200	+	97.5200i	−3.17233	+	3.17233i
$946$	0.937323	−	1.24182i	0.0304750	−	0.0403751i
$947$	20.0477	+	2.25884i	0.651464	+	0.0734024i	0.431510	−	0.902108i	$-0.357981\pi$
$947$	20.0477	+	2.25884i	0.651464	+	0.0734024i	0.219954	+	0.975510i	$0.429409\pi$
$948$	8.35018	−	11.6982i	0.271201	−	0.379938i
$949$	7.09739	−	11.2954i	0.230391	−	0.366665i
$950$	−15.6489	−	5.01218i	−0.507718	−	0.162617i
$951$	−2.20053	−	4.56945i	−0.0713570	−	0.148174i
$952$	31.9365	+	42.8135i	1.03507	+	1.38759i
$953$	−4.04030	−	5.06638i	−0.130878	−	0.164116i	0.712074	−	0.702104i	$-0.247756\pi$
$953$	−4.04030	−	5.06638i	−0.130878	−	0.164116i	−0.842952	+	0.537988i	$0.819185\pi$
$954$	−20.6626	−	40.1356i	−0.668977	−	1.29944i
$955$	−13.6591	−	39.0355i	−0.441999	−	1.26316i
$956$	−16.3370	+	14.5166i	−0.528376	+	0.469502i
$957$	11.0652	−	2.50445i	0.357686	−	0.0809575i
$958$	−19.4406	−	51.1462i	−0.628097	−	1.65246i
$959$	−7.50896	−	21.4594i	−0.242477	−	0.692960i
$960$	−60.3165	−	68.6592i	−1.94671	−	2.21597i
$961$	22.8259	−	18.2031i	0.736320	−	0.587196i
$962$	1.87522	−	21.8621i	0.0604595	−	0.704862i
$963$	−25.5824	−	53.1224i	−0.824381	−	1.71184i
$964$	−1.82478	−	34.2240i	−0.0587723	−	1.10228i
$965$	7.65553	+	4.81029i	0.246440	+	0.154849i
$966$	−41.1245	+	27.3944i	−1.32316	+	0.881401i
$967$	11.4426	+	1.28928i	0.367971	+	0.0414603i	0.294014	−	0.955801i	$-0.405009\pi$
$967$	11.4426	+	1.28928i	0.367971	+	0.0414603i	0.0739567	+	0.997261i	$0.476437\pi$
$968$	−29.7612	+	2.38307i	−0.956560	+	0.0765947i
$969$	−20.1239	−	20.1239i	−0.646472	−	0.646472i
$970$	11.4768	+	82.1339i	0.368498	+	2.63716i
$971$	−4.73425	+	13.5297i	−0.151929	+	0.434189i	−0.994543	−	0.104330i	$-0.966730\pi$
$971$	−4.73425	+	13.5297i	−0.151929	+	0.434189i	0.842613	+	0.538519i	$0.181016\pi$
$972$	40.5849	−	16.6764i	1.30176	−	0.534894i
$973$	−40.8199	−	9.31686i	−1.30862	−	0.298685i
$974$	−22.4939	−	10.1036i	−0.720751	−	0.323741i
$975$	−29.2877	−	46.6110i	−0.937956	−	1.49275i
$976$	−23.7999	−	5.57415i	−0.761815	−	0.178424i
$977$	−12.5150	−	54.8319i	−0.400391	−	1.75423i	−0.625819	−	0.779968i	$-0.715235\pi$
$977$	−12.5150	−	54.8319i	−0.400391	−	1.75423i	0.225428	−	0.974260i	$-0.427622\pi$
$978$	−68.2585	−	13.6779i	−2.18266	−	0.437372i
$979$	3.18365	+	2.53887i	0.101750	+	0.0811427i
$980$	14.2953	+	5.96877i	0.456646	+	0.190665i
$981$	−21.0214	+	43.6513i	−0.671160	+	1.39368i
$982$	−26.6026	−	15.7433i	−0.848923	−	0.502388i
$983$	−0.962422	−	8.54174i	−0.0306965	−	0.272439i	−0.999680	−	0.0253120i	$-0.991942\pi$
$983$	−0.962422	−	8.54174i	−0.0306965	−	0.272439i	0.968983	−	0.247127i	$-0.0794865\pi$
$984$	−38.4565	−	5.59585i	−1.22595	−	0.178389i
$985$			60.1982i			1.91807i
$986$	24.2974	−	40.8878i	0.773786	−	1.30213i
$987$	78.7424			2.50640
$988$	−5.44352	−	3.02868i	−0.173181	−	0.0963552i
$989$	5.99634	−	0.675625i	0.190672	−	0.0214836i
$990$	20.4969	+	12.1299i	0.651434	+	0.385515i
$991$	15.3528	+	7.39352i	0.487698	+	0.234863i	0.661539	−	0.749911i	$-0.269904\pi$
$991$	15.3528	+	7.39352i	0.487698	+	0.234863i	−0.173841	+	0.984774i	$0.555618\pi$
$992$	−4.86147	−	5.84051i	−0.154352	−	0.185436i
$993$	20.2646	−	25.4110i	0.643078	−	0.806394i
$994$	−2.85672	+	14.2562i	−0.0906097	+	0.452179i
$995$	−11.3922	+	2.60020i	−0.361158	+	0.0824320i
$996$	18.2285	+	25.8455i	0.577593	+	0.818945i
$997$	29.2785	−	18.3969i	0.927259	−	0.582635i	0.0184418	−	0.999830i	$-0.494129\pi$
$997$	29.2785	−	18.3969i	0.927259	−	0.582635i	0.908817	+	0.417194i	$0.136987\pi$
$998$	29.9695	+	13.4614i	0.948667	+	0.426114i
$999$	−20.1674	+	88.3594i	−0.638070	+	2.79557i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	232.2.v.a.11.22	✓	336
4.3	odd	2		928.2.bn.a.591.2		336
8.3	odd	2	inner	232.2.v.a.11.27	yes	336
8.5	even	2		928.2.bn.a.591.1		336
29.8	odd	28	inner	232.2.v.a.211.27	yes	336
116.95	even	28		928.2.bn.a.559.1		336
232.37	odd	28		928.2.bn.a.559.2		336
232.211	even	28	inner	232.2.v.a.211.22	yes	336

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
232.2.v.a.11.22	✓	336	1.1	even	1	trivial
232.2.v.a.11.27	yes	336	8.3	odd	2	inner
232.2.v.a.211.22	yes	336	232.211	even	28	inner
232.2.v.a.211.27	yes	336	29.8	odd	28	inner
928.2.bn.a.559.1		336	116.95	even	28
928.2.bn.a.559.2		336	232.37	odd	28
928.2.bn.a.591.1		336	8.5	even	2
928.2.bn.a.591.2		336	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.v (of order \(28\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(1.08180 - 0.910880i) q^{2} +(0.353930 + 3.14122i) q^{3} +(0.340594 - 1.97079i) q^{4} +(3.25598 + 1.56800i) q^{5} +(3.24416 + 3.07579i) q^{6} +(-2.36410 - 1.88530i) q^{7} +(-1.42669 - 2.44224i) q^{8} +(-6.81721 + 1.55598i) q^{9} +O(q^{10})\)	\(q+(1.08180 - 0.910880i) q^{2} +(0.353930 + 3.14122i) q^{3} +(0.340594 - 1.97079i) q^{4} +(3.25598 + 1.56800i) q^{5} +(3.24416 + 3.07579i) q^{6} +(-2.36410 - 1.88530i) q^{7} +(-1.42669 - 2.44224i) q^{8} +(-6.81721 + 1.55598i) q^{9} +(4.95059 - 1.26954i) q^{10} +(-0.354574 - 0.564302i) q^{11} +(6.31122 + 0.372360i) q^{12} +(-0.480777 + 2.10642i) q^{13} +(-4.27477 + 0.113882i) q^{14} +(-3.77303 + 10.7827i) q^{15} +(-3.76799 - 1.34248i) q^{16} +(4.41605 - 4.41605i) q^{17} +(-5.95756 + 7.89293i) q^{18} +(-1.43252 - 0.161406i) q^{19} +(4.19915 - 5.88279i) q^{20} +(5.08543 - 8.09341i) q^{21} +(-0.897591 - 0.287488i) q^{22} +(-1.58604 - 3.29344i) q^{23} +(7.16666 - 5.34594i) q^{24} +(5.02534 + 6.30158i) q^{25} +(1.39859 + 2.71667i) q^{26} +(-4.16837 - 11.9125i) q^{27} +(-4.52073 + 4.01700i) q^{28} +(4.84762 + 2.34533i) q^{29} +(5.74008 + 15.1015i) q^{30} +(0.443675 + 1.26795i) q^{31} +(-5.29906 + 1.97990i) q^{32} +(1.64710 - 1.31352i) q^{33} +(0.754802 - 8.79979i) q^{34} +(-4.74130 - 9.84540i) q^{35} +(0.744608 + 13.9652i) q^{36} +(-6.08047 - 3.82061i) q^{37} +(-1.69672 + 1.13024i) q^{38} +(-6.78690 - 0.764700i) q^{39} +(-0.815859 - 10.1889i) q^{40} +(-3.07342 - 3.07342i) q^{41} +(-1.87070 - 13.3877i) q^{42} +(-0.545213 + 1.55813i) q^{43} +(-1.23288 + 0.506592i) q^{44} +(-24.6365 - 5.62311i) q^{45} +(-4.71571 - 2.11816i) q^{46} +(4.38285 + 6.97527i) q^{47} +(2.88340 - 12.3112i) q^{48} +(0.476933 + 2.08958i) q^{49} +(11.1764 + 2.23958i) q^{50} +(15.4348 + 12.3088i) q^{51} +(3.98756 + 1.66494i) q^{52} +(-1.98064 + 4.11285i) q^{53} +(-15.3602 - 9.09010i) q^{54} +(-0.269663 - 2.39333i) q^{55} +(-1.23152 + 8.46344i) q^{56} -4.55698i q^{57} +(7.38048 - 1.87842i) q^{58} -8.26704 q^{59} +(19.9653 + 11.1084i) q^{60} +(6.07255 - 0.684212i) q^{61} +(1.63492 + 0.967537i) q^{62} +(19.0500 + 9.17401i) q^{63} +(-3.92909 + 6.96866i) q^{64} +(-4.86827 + 6.10462i) q^{65} +(0.585379 - 2.92128i) q^{66} +(1.85540 - 0.423483i) q^{67} +(-7.19901 - 10.2072i) q^{68} +(9.78407 - 6.14774i) q^{69} +(-14.0971 - 6.33203i) q^{70} +(0.756583 - 3.31480i) q^{71} +(13.5262 + 14.4294i) q^{72} +(-5.82782 - 2.03924i) q^{73} +(-10.0580 + 1.40543i) q^{74} +(-18.0160 + 18.0160i) q^{75} +(-0.806004 + 2.76821i) q^{76} +(-0.225632 + 2.00254i) q^{77} +(-8.03864 + 5.35480i) q^{78} +(1.20950 - 1.92491i) q^{79} +(-10.1635 - 10.2793i) q^{80} +(17.0444 - 8.20813i) q^{81} +(-6.12436 - 0.525317i) q^{82} +(3.11903 + 3.91114i) q^{83} +(-14.2183 - 12.7788i) q^{84} +(21.3029 - 7.45422i) q^{85} +(0.829457 + 2.18221i) q^{86} +(-5.65146 + 16.0575i) q^{87} +(-0.872292 + 1.67104i) q^{88} +(-5.76714 + 2.01801i) q^{89} +(-31.7738 + 16.3578i) q^{90} +(5.10785 - 4.07338i) q^{91} +(-7.03086 + 2.00401i) q^{92} +(-3.82588 + 1.84245i) q^{93} +(11.0950 + 3.55361i) q^{94} +(-4.41117 - 2.77172i) q^{95} +(-8.09478 - 15.9448i) q^{96} +(-1.81683 + 16.1248i) q^{97} +(2.41930 + 1.82608i) q^{98} +(3.29525 + 3.29525i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 336 q - 14 q^{2} - 24 q^{3} - 14 q^{4} - 14 q^{6} - 8 q^{8} - 28 q^{9}+O(q^{10}) \) 336 * q - 14 * q^2 - 24 * q^3 - 14 * q^4 - 14 * q^6 - 8 * q^8 - 28 * q^9	\( 336 q - 14 q^{2} - 24 q^{3} - 14 q^{4} - 14 q^{6} - 8 q^{8} - 28 q^{9} - 8 q^{10} - 32 q^{11} - 24 q^{12} - 14 q^{14} + 10 q^{16} - 28 q^{17} - 20 q^{18} - 24 q^{19} + 6 q^{20} - 14 q^{22} + 2 q^{24} - 52 q^{25} + 8 q^{26} - 60 q^{27} - 8 q^{30} - 4 q^{32} - 28 q^{33} - 14 q^{34} - 28 q^{35} - 38 q^{36} - 14 q^{38} - 20 q^{41} - 14 q^{42} - 16 q^{43} + 42 q^{44} - 56 q^{46} + 32 q^{48} + 12 q^{49} - 78 q^{50} - 28 q^{51} + 74 q^{52} - 124 q^{54} + 36 q^{56} - 158 q^{58} - 48 q^{59} + 200 q^{60} - 112 q^{62} + 112 q^{64} + 20 q^{65} - 136 q^{66} - 28 q^{67} + 60 q^{68} - 182 q^{70} + 48 q^{72} - 4 q^{73} - 16 q^{74} + 64 q^{75} - 10 q^{76} + 50 q^{78} - 14 q^{80} - 28 q^{81} + 10 q^{82} - 20 q^{83} - 36 q^{84} - 80 q^{88} - 28 q^{89} - 28 q^{90} - 28 q^{91} - 14 q^{92} - 106 q^{94} + 28 q^{96} - 32 q^{97} + 12 q^{98} - 32 q^{99}+O(q^{100}) \) 336 * q - 14 * q^2 - 24 * q^3 - 14 * q^4 - 14 * q^6 - 8 * q^8 - 28 * q^9 - 8 * q^10 - 32 * q^11 - 24 * q^12 - 14 * q^14 + 10 * q^16 - 28 * q^17 - 20 * q^18 - 24 * q^19 + 6 * q^20 - 14 * q^22 + 2 * q^24 - 52 * q^25 + 8 * q^26 - 60 * q^27 - 8 * q^30 - 4 * q^32 - 28 * q^33 - 14 * q^34 - 28 * q^35 - 38 * q^36 - 14 * q^38 - 20 * q^41 - 14 * q^42 - 16 * q^43 + 42 * q^44 - 56 * q^46 + 32 * q^48 + 12 * q^49 - 78 * q^50 - 28 * q^51 + 74 * q^52 - 124 * q^54 + 36 * q^56 - 158 * q^58 - 48 * q^59 + 200 * q^60 - 112 * q^62 + 112 * q^64 + 20 * q^65 - 136 * q^66 - 28 * q^67 + 60 * q^68 - 182 * q^70 + 48 * q^72 - 4 * q^73 - 16 * q^74 + 64 * q^75 - 10 * q^76 + 50 * q^78 - 14 * q^80 - 28 * q^81 + 10 * q^82 - 20 * q^83 - 36 * q^84 - 80 * q^88 - 28 * q^89 - 28 * q^90 - 28 * q^91 - 14 * q^92 - 106 * q^94 + 28 * q^96 - 32 * q^97 + 12 * q^98 - 32 * q^99

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