LMFDB - Embedded newform 961.2.g.s.844.2

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [961,2,Mod(235,961)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("961.235"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(961, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([26])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 961 = 31^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	961.g (of order $15$, degree $8$, not minimal)

Newform invariants

comment:select newform

sage:traces = [16,4,3,6,-3,11,-3] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(7)] == traces)

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

Self dual:	no
Analytic conductor:	$7.67362363425$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$2$ over $\Q(\zeta_{15})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} + \cdots)$
comment:defining polynomial gp:f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} + 19x^{14} + 140x^{12} + 511x^{10} + 979x^{8} + 956x^{6} + 410x^{4} + 44x^{2} + 1 $ x^16 + 19x^14 + 140x^12 + 511x^10 + 979x^8 + 956x^6 + 410x^4 + 44*x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	no (minimal twist has level 31)
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			844.2
Root			$1.42343i$ of defining polynomial
Character	$\chi$	$=$	961.844
Dual form			961.2.g.s.846.2

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.713065 + 2.19459i) q^{2} +(2.48716 - 0.528662i) q^{3} +(-2.68972 + 1.95420i) q^{4} +(1.24923 - 2.16373i) q^{5} +(2.93370 + 5.08132i) q^{6} +(1.46339 + 0.651543i) q^{7} +(-2.47295 - 1.79670i) q^{8} +(3.16584 - 1.40952i) q^{9} +(5.63928 + 1.19867i) q^{10} +(-0.0766880 - 0.729638i) q^{11} +(-5.65666 + 6.28236i) q^{12} +(-1.26866 - 1.40898i) q^{13} +(-0.386377 + 3.67613i) q^{14} +(1.96315 - 6.04196i) q^{15} +(0.124885 - 0.384356i) q^{16} +(0.457755 - 4.35525i) q^{17} +(5.35078 + 5.94264i) q^{18} +(-3.10345 + 3.44673i) q^{19} +(0.868274 + 8.26107i) q^{20} +(3.98413 + 0.846852i) q^{21} +(1.54657 - 0.688578i) q^{22} +(5.75896 + 4.18413i) q^{23} +(-7.10047 - 3.16133i) q^{24} +(-0.621150 - 1.07586i) q^{25} +(2.18751 - 3.78887i) q^{26} +(0.957471 - 0.695643i) q^{27} +(-5.20935 + 1.10728i) q^{28} +(-0.0398443 - 0.122628i) q^{29} +14.6595 q^{30} -5.18091 q^{32} +(-0.576467 - 1.77418i) q^{33} +(9.88439 - 2.10099i) q^{34} +(3.23787 - 2.35245i) q^{35} +(-5.76075 + 9.97791i) q^{36} +(-4.21474 - 7.30014i) q^{37} +(-9.77710 - 4.35305i) q^{38} +(-3.90022 - 2.83368i) q^{39} +(-6.97686 + 3.10630i) q^{40} +(7.21284 + 1.53314i) q^{41} +(0.982449 + 9.34738i) q^{42} +(0.154229 - 0.171289i) q^{43} +(1.63213 + 1.81266i) q^{44} +(0.905036 - 8.61084i) q^{45} +(-5.07593 + 15.6221i) q^{46} +(-2.48342 + 7.64319i) q^{47} +(0.107414 - 1.02198i) q^{48} +(-2.96692 - 3.29509i) q^{49} +(1.91816 - 2.13033i) q^{50} +(-1.16395 - 11.0742i) q^{51} +(6.16576 + 1.31057i) q^{52} +(5.23849 - 2.33233i) q^{53} +(2.20939 + 1.60522i) q^{54} +(-1.67454 - 0.745553i) q^{55} +(-2.44826 - 4.24051i) q^{56} +(-5.89661 + 10.2132i) q^{57} +(0.240707 - 0.174884i) q^{58} +(-9.29604 + 1.97593i) q^{59} +(6.52685 + 20.0876i) q^{60} -7.84044 q^{61} +5.55122 q^{63} +(-3.94410 - 12.1387i) q^{64} +(-4.63350 + 0.984881i) q^{65} +(3.48254 - 2.53022i) q^{66} +(-2.41329 + 4.17994i) q^{67} +(7.27978 + 12.6090i) q^{68} +(16.5354 + 7.36205i) q^{69} +(7.47147 + 5.42834i) q^{70} +(-3.11064 + 1.38495i) q^{71} +(-10.3615 - 2.20240i) q^{72} +(-0.281395 - 2.67730i) q^{73} +(13.0154 - 14.4551i) q^{74} +(-2.11367 - 2.34746i) q^{75} +(1.61182 - 15.3355i) q^{76} +(0.363166 - 1.11771i) q^{77} +(3.43765 - 10.5800i) q^{78} +(-0.473299 + 4.50314i) q^{79} +(-0.675632 - 0.750365i) q^{80} +(-4.94288 + 5.48963i) q^{81} +(1.77862 + 16.9224i) q^{82} +(-2.61200 - 0.555197i) q^{83} +(-12.3711 + 5.50797i) q^{84} +(-8.85174 - 6.43117i) q^{85} +(0.485884 + 0.216329i) q^{86} +(-0.163928 - 0.283932i) q^{87} +(-1.12130 + 1.94214i) q^{88} +(1.78355 - 1.29582i) q^{89} +(19.5426 - 4.15391i) q^{90} +(-0.938522 - 2.88847i) q^{91} -23.6666 q^{92} -18.5445 q^{94} +(3.58086 + 11.0208i) q^{95} +(-12.8858 + 2.73895i) q^{96} +(-9.94271 + 7.22380i) q^{97} +(5.11577 - 8.86077i) q^{98} +(-1.27122 - 2.20182i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 4 q^{2} + 3 q^{3} + 6 q^{4} - 3 q^{5} + 11 q^{6} - 3 q^{7} - 8 q^{8} + 5 q^{9} + 18 q^{10} - 2 q^{11} - 20 q^{12} - 27 q^{13} - 6 q^{14} + 4 q^{15} - 2 q^{16} - 16 q^{17} + 22 q^{18} - 4 q^{19} - 18 q^{20}+ \cdots + 6 q^{99}+O(q^{100}) $ 16 * q + 4 * q^2 + 3 * q^3 + 6 * q^4 - 3 * q^5 + 11 * q^6 - 3 * q^7 - 8 * q^8 + 5 * q^9 + 18 * q^10 - 2 * q^11 - 20 * q^12 - 27 * q^13 - 6 * q^14 + 4 * q^15 - 2 * q^16 - 16 * q^17 + 22 * q^18 - 4 * q^19 - 18 * q^20 + 29 * q^21 + 4 * q^22 + 21 * q^23 - 25 * q^24 - 13 * q^25 + 9 * q^26 + 9 * q^27 - 40 * q^28 + 26 * q^29 - 22 * q^30 - 42 * q^32 + 7 * q^33 + 28 * q^34 + 21 * q^35 + q^36 - 8 * q^37 - 27 * q^38 + 2 * q^39 - 16 * q^40 - 3 * q^41 - 51 * q^42 + 8 * q^43 + 4 * q^44 + 25 * q^45 - 16 * q^46 + 4 * q^47 - 86 * q^48 + 27 * q^49 - 27 * q^50 + 13 * q^51 + 24 * q^52 + 66 * q^53 + 39 * q^54 - 52 * q^55 - 30 * q^56 - 17 * q^57 + 10 * q^58 - 51 * q^59 + 35 * q^60 - 60 * q^61 - 46 * q^63 - 32 * q^64 + 18 * q^65 + 20 * q^66 + 13 * q^67 + 30 * q^68 + 48 * q^69 + 27 * q^70 - 24 * q^71 + 2 * q^72 + 27 * q^73 + 28 * q^74 - 32 * q^75 + 18 * q^76 - 42 * q^77 + 15 * q^78 + 8 * q^79 - 39 * q^80 - 7 * q^81 + 29 * q^82 + 4 * q^83 - 27 * q^84 - 63 * q^85 + 34 * q^86 + 15 * q^87 - 17 * q^88 + 26 * q^89 + 57 * q^90 + 8 * q^91 - 64 * q^92 + 44 * q^94 + 28 * q^95 - 62 * q^96 - 37 * q^97 - 10 * q^98 + 6 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/961\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{14}{15}\right)$

Coefficient data

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

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

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

$2$	0.713065	+	2.19459i	0.504213	+	1.55181i	0.802089	+	0.597204i	$0.203722\pi$
$2$	0.713065	+	2.19459i	0.504213	+	1.55181i	−0.297876	+	0.954604i	$0.596278\pi$
$3$	2.48716	−	0.528662i	1.43596	−	0.305223i	0.576783	−	0.816898i	$-0.304308\pi$
$3$	2.48716	−	0.528662i	1.43596	−	0.305223i	0.859179	+	0.511674i	$0.170975\pi$
$4$	−2.68972	+	1.95420i	−1.34486	+	0.977099i
$5$	1.24923	−	2.16373i	0.558673	−	0.967649i	−0.438935	−	0.898519i	$-0.644644\pi$
$5$	1.24923	−	2.16373i	0.558673	−	0.967649i	0.997608	−	0.0691304i	$-0.0220225\pi$
$6$	2.93370	+	5.08132i	1.19768	+	2.07444i
$7$	1.46339	+	0.651543i	0.553109	+	0.246260i	0.664206	−	0.747550i	$-0.268770\pi$
$7$	1.46339	+	0.651543i	0.553109	+	0.246260i	−0.111097	+	0.993810i	$0.535436\pi$
$8$	−2.47295	−	1.79670i	−0.874320	−	0.635230i
$9$	3.16584	−	1.40952i	1.05528	−	0.469841i
$10$	5.63928	+	1.19867i	1.78330	+	0.379051i
$11$	−0.0766880	−	0.729638i	−0.0231223	−	0.219994i	−0.999981	−	0.00610986i	$-0.998055\pi$
$11$	−0.0766880	−	0.729638i	−0.0231223	−	0.219994i	0.976859	−	0.213884i	$-0.0686115\pi$
$12$	−5.65666	+	6.28236i	−1.63294	+	1.81356i
$13$	−1.26866	−	1.40898i	−0.351862	−	0.390782i	0.541067	−	0.840979i	$-0.318020\pi$
$13$	−1.26866	−	1.40898i	−0.351862	−	0.390782i	−0.892929	+	0.450197i	$0.851354\pi$
$14$	−0.386377	+	3.67613i	−0.103263	+	0.982487i
$15$	1.96315	−	6.04196i	0.506884	−	1.56003i
$16$	0.124885	−	0.384356i	0.0312212	−	0.0960889i
$17$	0.457755	−	4.35525i	0.111022	−	1.05630i	−0.787181	−	0.616722i	$-0.788460\pi$
$17$	0.457755	−	4.35525i	0.111022	−	1.05630i	0.898203	−	0.439581i	$-0.144873\pi$
$18$	5.35078	+	5.94264i	1.26119	+	1.40069i
$19$	−3.10345	+	3.44673i	−0.711979	+	0.790733i	−0.985235	−	0.171208i	$-0.945233\pi$
$19$	−3.10345	+	3.44673i	−0.711979	+	0.790733i	0.273256	+	0.961941i	$0.411900\pi$
$20$	0.868274	+	8.26107i	0.194152	+	1.84723i
$21$	3.98413	+	0.846852i	0.869408	+	0.184798i
$22$	1.54657	−	0.688578i	0.329730	−	0.146805i
$23$	5.75896	+	4.18413i	1.20083	+	0.872451i	0.994366	−	0.106004i	$-0.0338057\pi$
$23$	5.75896	+	4.18413i	1.20083	+	0.872451i	0.206460	+	0.978455i	$0.433806\pi$
$24$	−7.10047	−	3.16133i	−1.44938	−	0.645304i
$25$	−0.621150	−	1.07586i	−0.124230	−	0.215173i
$26$	2.18751	−	3.78887i	0.429005	−	0.743059i
$27$	0.957471	−	0.695643i	0.184265	−	0.133877i
$28$	−5.20935	+	1.10728i	−0.984475	+	0.209257i
$29$	−0.0398443	−	0.122628i	−0.00739891	−	0.0227715i	0.947289	−	0.320381i	$-0.103811\pi$
$29$	−0.0398443	−	0.122628i	−0.00739891	−	0.0227715i	−0.954688	+	0.297609i	$0.903811\pi$
$30$	14.6595			2.67644
$31$		0			0
$31$		0			0
$32$	−5.18091			−0.915865
$33$	−0.576467	−	1.77418i	−0.100350	−	0.308846i
$34$	9.88439	−	2.10099i	1.69516	−	0.360317i
$35$	3.23787	−	2.35245i	0.547300	−	0.397637i
$36$	−5.76075	+	9.97791i	−0.960125	+	1.66298i
$37$	−4.21474	−	7.30014i	−0.692899	−	1.20014i	−0.970884	−	0.239550i	$-0.923000\pi$
$37$	−4.21474	−	7.30014i	−0.692899	−	1.20014i	0.277985	−	0.960585i	$-0.410333\pi$
$38$	−9.77710	−	4.35305i	−1.58606	−	0.706157i
$39$	−3.90022	−	2.83368i	−0.624536	−	0.453752i
$40$	−6.97686	+	3.10630i	−1.10314	+	0.491149i
$41$	7.21284	+	1.53314i	1.12646	+	0.239436i	0.733213	−	0.679999i	$-0.238020\pi$
$41$	7.21284	+	1.53314i	1.12646	+	0.239436i	0.393243	+	0.919434i	$0.371353\pi$
$42$	0.982449	+	9.34738i	0.151595	+	1.44233i
$43$	0.154229	−	0.171289i	0.0235197	−	0.0261213i	−0.731270	−	0.682088i	$-0.761072\pi$
$43$	0.154229	−	0.171289i	0.0235197	−	0.0261213i	0.754790	+	0.655967i	$0.227739\pi$
$44$	1.63213	+	1.81266i	0.246052	+	0.273269i
$45$	0.905036	−	8.61084i	0.134915	−	1.28363i
$46$	−5.07593	+	15.6221i	−0.748404	+	2.30335i
$47$	−2.48342	+	7.64319i	−0.362244	+	1.11487i	0.589444	+	0.807809i	$0.299347\pi$
$47$	−2.48342	+	7.64319i	−0.362244	+	1.11487i	−0.951689	+	0.307065i	$0.900653\pi$
$48$	0.107414	−	1.02198i	0.0155039	−	0.147509i
$49$	−2.96692	−	3.29509i	−0.423845	−	0.470728i
$50$	1.91816	−	2.13033i	0.271268	−	0.301274i
$51$	−1.16395	−	11.0742i	−0.162985	−	1.55070i
$52$	6.16576	+	1.31057i	0.855038	+	0.181744i
$53$	5.23849	−	2.33233i	0.719562	−	0.320370i	−0.0140848	−	0.999901i	$-0.504483\pi$
$53$	5.23849	−	2.33233i	0.719562	−	0.320370i	0.733647	+	0.679531i	$0.237817\pi$
$54$	2.20939	+	1.60522i	0.300660	+	0.218442i
$55$	−1.67454	−	0.745553i	−0.225795	−	0.100530i
$56$	−2.44826	−	4.24051i	−0.327162	−	0.566662i
$57$	−5.89661	+	10.2132i	−0.781025	+	1.35278i
$58$	0.240707	−	0.174884i	0.0316064	−	0.0229634i
$59$	−9.29604	+	1.97593i	−1.21024	+	0.257245i	−0.768472	−	0.639884i	$-0.778982\pi$
$59$	−9.29604	+	1.97593i	−1.21024	+	0.257245i	−0.441770	+	0.897129i	$0.645649\pi$
$60$	6.52685	+	20.0876i	0.842613	+	2.59330i
$61$	−7.84044			−1.00387			−0.501933	−	0.864907i	$-0.667377\pi$
$61$	−7.84044			−1.00387			−0.501933	+	0.864907i	$0.667377\pi$
$62$		0			0
$63$	5.55122			0.699388
$64$	−3.94410	−	12.1387i	−0.493012	−	1.51734i
$65$	−4.63350	+	0.984881i	−0.574715	+	0.122160i
$66$	3.48254	−	2.53022i	0.428671	−	0.311448i
$67$	−2.41329	+	4.17994i	−0.294830	+	0.510661i	−0.974945	−	0.222444i	$-0.928596\pi$
$67$	−2.41329	+	4.17994i	−0.294830	+	0.510661i	0.680115	+	0.733105i	$0.261930\pi$
$68$	7.27978	+	12.6090i	0.882804	+	1.52906i
$69$	16.5354	+	7.36205i	1.99063	+	0.886287i
$70$	7.47147	+	5.42834i	0.893012	+	0.648811i
$71$	−3.11064	+	1.38495i	−0.369165	+	0.164363i	−0.582930	−	0.812522i	$-0.698094\pi$
$71$	−3.11064	+	1.38495i	−0.369165	+	0.164363i	0.213765	+	0.976885i	$0.431427\pi$
$72$	−10.3615	−	2.20240i	−1.22111	−	0.259555i
$73$	−0.281395	−	2.67730i	−0.0329348	−	0.313354i	−0.998570	−	0.0534539i	$-0.982977\pi$
$73$	−0.281395	−	2.67730i	−0.0329348	−	0.313354i	0.965635	−	0.259900i	$-0.0836897\pi$
$74$	13.0154	−	14.4551i	1.51301	−	1.68037i
$75$	−2.11367	−	2.34746i	−0.244065	−	0.271062i
$76$	1.61182	−	15.3355i	0.184889	−	1.75910i
$77$	0.363166	−	1.11771i	0.0413866	−	0.127375i
$78$	3.43765	−	10.5800i	0.389237	−	1.19795i
$79$	−0.473299	+	4.50314i	−0.0532503	+	0.506643i	0.935093	+	0.354402i	$0.115316\pi$
$79$	−0.473299	+	4.50314i	−0.0532503	+	0.506643i	−0.988343	+	0.152241i	$0.951351\pi$
$80$	−0.675632	−	0.750365i	−0.0755379	−	0.0838934i
$81$	−4.94288	+	5.48963i	−0.549209	+	0.609959i
$82$	1.77862	+	16.9224i	0.196416	+	1.86877i
$83$	−2.61200	−	0.555197i	−0.286704	−	0.0609408i	0.0623149	−	0.998057i	$-0.480152\pi$
$83$	−2.61200	−	0.555197i	−0.286704	−	0.0609408i	−0.349019	+	0.937116i	$0.613485\pi$
$84$	−12.3711	+	5.50797i	−1.34980	+	0.600969i
$85$	−8.85174	−	6.43117i	−0.960106	−	0.697558i
$86$	0.485884	+	0.216329i	0.0523942	+	0.0233274i
$87$	−0.163928	−	0.283932i	−0.0175749	−	0.0304407i
$88$	−1.12130	+	1.94214i	−0.119531	+	0.207033i
$89$	1.78355	−	1.29582i	0.189056	−	0.137357i	−0.489231	−	0.872154i	$-0.662723\pi$
$89$	1.78355	−	1.29582i	0.189056	−	0.137357i	0.678287	+	0.734797i	$0.262723\pi$
$90$	19.5426	−	4.15391i	2.05997	−	0.437860i
$91$	−0.938522	−	2.88847i	−0.0983839	−	0.302794i
$92$	−23.6666			−2.46741
$93$		0			0
$94$	−18.5445			−1.91272
$95$	3.58086	+	11.0208i	0.367389	+	1.13071i
$96$	−12.8858	+	2.73895i	−1.31515	+	0.279543i
$97$	−9.94271	+	7.22380i	−1.00953	+	0.733466i	−0.964110	−	0.265502i	$-0.914462\pi$
$97$	−9.94271	+	7.22380i	−1.00953	+	0.733466i	−0.0454190	+	0.998968i	$0.514462\pi$
$98$	5.11577	−	8.86077i	0.516771	−	0.895073i
$99$	−1.27122	−	2.20182i	−0.127763	−	0.221292i
$100$	3.77317	+	1.67992i	0.377317	+	0.167992i
$101$	−5.94168	−	4.31688i	−0.591219	−	0.429546i	0.251532	−	0.967849i	$-0.419066\pi$
$101$	−5.94168	−	4.31688i	−0.591219	−	0.429546i	−0.842751	+	0.538303i	$0.819066\pi$
$102$	23.4733	−	10.4510i	2.32421	−	1.03480i
$103$	−5.46662	−	1.16197i	−0.538642	−	0.114492i	−0.0694459	−	0.997586i	$-0.522123\pi$
$103$	−5.46662	−	1.16197i	−0.538642	−	0.114492i	−0.469197	+	0.883094i	$0.655456\pi$
$104$	0.605794	+	5.76374i	0.0594030	+	0.565182i
$105$	6.80945	−	7.56266i	0.664534	−	0.738040i
$106$	8.85388	+	9.83323i	0.859964	+	0.955087i
$107$	−0.190677	+	1.81417i	−0.0184334	+	0.175382i	−0.999865	−	0.0164303i	$-0.994770\pi$
$107$	−0.190677	+	1.81417i	−0.0184334	+	0.175382i	0.981432	+	0.191812i	$0.0614365\pi$
$108$	−1.21591	+	3.74218i	−0.117001	+	0.360091i
$109$	3.63567	−	11.1895i	0.348234	−	1.07176i	−0.611595	−	0.791171i	$-0.709472\pi$
$109$	3.63567	−	11.1895i	0.348234	−	1.07176i	0.959829	−	0.280584i	$-0.0905282\pi$
$110$	0.442126	−	4.20655i	0.0421551	−	0.401079i
$111$	−14.3420	−	15.9284i	−1.36129	−	1.51186i
$112$	0.433179	−	0.481094i	0.0409316	−	0.0454591i
$113$	−1.15551	−	10.9940i	−0.108702	−	1.03423i	−0.903861	−	0.427826i	$-0.859280\pi$
$113$	−1.15551	−	10.9940i	−0.108702	−	1.03423i	0.795160	−	0.606400i	$-0.207387\pi$
$114$	−26.6185	−	5.65794i	−2.49305	−	0.529914i
$115$	16.2476	−	7.23389i	1.51509	−	0.674564i
$116$	0.346810	+	0.251972i	0.0322005	+	0.0233950i
$117$	−6.00236	−	2.67242i	−0.554918	−	0.247066i
$118$	−10.9650	−	18.9920i	−1.00941	−	1.74836i
$119$	3.50750	−	6.07518i	0.321532	−	0.556911i
$120$	−15.7104	+	11.4143i	−1.43416	+	1.04197i
$121$	10.2331	−	2.17512i	0.930285	−	0.197738i
$122$	−5.59074	−	17.2065i	−0.506162	−	1.55781i
$123$	18.7500			1.69063
$124$		0			0
$125$	9.38846			0.839730
$126$	3.95838	+	12.1826i	0.352641	+	1.08532i
$127$	1.25891	−	0.267589i	0.111710	−	0.0237447i	−0.151717	−	0.988424i	$-0.548480\pi$
$127$	1.25891	−	0.267589i	0.111710	−	0.0237447i	0.263427	+	0.964679i	$0.415147\pi$
$128$	15.4441	−	11.2208i	1.36508	−	0.991789i
$129$	0.293038	−	0.507557i	0.0258006	−	0.0446879i
$130$	−5.46540	−	9.46635i	−0.479347	−	0.830254i
$131$	−7.32696	−	3.26217i	−0.640159	−	0.285017i	0.0608744	−	0.998145i	$-0.480611\pi$
$131$	−7.32696	−	3.26217i	−0.640159	−	0.285017i	−0.701034	+	0.713128i	$0.747278\pi$
$132$	5.01764	+	3.64553i	0.436730	+	0.317303i
$133$	−6.78724	+	3.02187i	−0.588528	+	0.262030i
$134$	−10.8941	−	2.31561i	−0.941105	−	0.200038i
$135$	−0.309083	−	2.94073i	−0.0266016	−	0.253097i
$136$	−8.95710	+	9.94786i	−0.768065	+	0.853022i
$137$	−11.0251	−	12.2446i	−0.941938	−	1.04613i	−0.998859	−	0.0477494i	$-0.984795\pi$
$137$	−11.0251	−	12.2446i	−0.941938	−	1.04613i	0.0569214	−	0.998379i	$-0.481872\pi$
$138$	−4.36583	+	41.5381i	−0.371644	+	3.53596i
$139$	2.26813	−	6.98058i	0.192380	−	0.592085i	−0.807617	−	0.589707i	$-0.799243\pi$
$139$	2.26813	−	6.98058i	0.192380	−	0.592085i	0.999997	−	0.00237796i	$-0.000756929\pi$
$140$	−4.11182	+	12.6549i	−0.347512	+	1.06953i
$141$	−2.13600	+	20.3227i	−0.179884	+	1.71148i
$142$	−5.25747	−	5.83901i	−0.441197	−	0.489999i
$143$	−0.930757	+	1.03371i	−0.0778338	+	0.0864432i
$144$	−0.146393	−	1.39284i	−0.0121994	−	0.116070i
$145$	−0.315109	−	0.0669785i	−0.0261684	−	0.00556226i
$146$	5.67491	−	2.52663i	0.469659	−	0.209106i
$147$	−9.12118	−	6.62693i	−0.752302	−	0.546580i
$148$	25.6024	+	11.3989i	2.10450	+	0.936985i
$149$	3.18096	+	5.50959i	0.260595	+	0.451363i	0.966400	−	0.257043i	$-0.0827480\pi$
$149$	3.18096	+	5.50959i	0.260595	+	0.451363i	−0.705805	+	0.708406i	$0.749415\pi$
$150$	3.64454	−	6.31252i	0.297575	−	0.515415i
$151$	4.46960	−	3.24736i	0.363731	−	0.264266i	−0.390875	−	0.920444i	$-0.627828\pi$
$151$	4.46960	−	3.24736i	0.363731	−	0.264266i	0.754607	+	0.656177i	$0.227828\pi$
$152$	13.8674	−	2.94761i	1.12480	−	0.239083i
$153$	−4.68965	−	14.4332i	−0.379135	−	1.16686i
$154$	2.71187			0.218529
$155$		0			0
$156$	16.0281			1.28327
$157$	2.47043	+	7.60320i	0.197162	+	0.606801i	0.999945	+	0.0105298i	$0.00335181\pi$
$157$	2.47043	+	7.60320i	0.197162	+	0.606801i	−0.802783	+	0.596271i	$0.796648\pi$
$158$	−10.2200	+	2.17233i	−0.813062	+	0.172822i
$159$	11.7959	−	8.57025i	0.935479	−	0.679665i
$160$	−6.47215	+	11.2101i	−0.511669	+	0.886236i
$161$	5.70146	+	9.87521i	0.449338	+	0.778276i
$162$	−15.5721	−	6.93313i	−1.22346	−	0.544718i
$163$	13.8062	+	10.0308i	1.08138	+	0.785672i	0.977924	−	0.208961i	$-0.0670083\pi$
$163$	13.8062	+	10.0308i	1.08138	+	0.785672i	0.103461	+	0.994634i	$0.467008\pi$
$164$	−22.3966	+	9.97160i	−1.74888	+	0.778651i
$165$	−4.55899	−	0.969044i	−0.354917	−	0.0754399i
$166$	−0.644094	−	6.12815i	−0.0499914	−	0.475637i
$167$	−16.3082	+	18.1121i	−1.26197	+	1.40155i	−0.383647	+	0.923480i	$0.625332\pi$
$167$	−16.3082	+	18.1121i	−1.26197	+	1.40155i	−0.878319	+	0.478075i	$0.841335\pi$
$168$	−8.33100	−	9.25252i	−0.642751	−	0.713847i
$169$	0.983119	−	9.35375i	0.0756245	−	0.719519i
$170$	7.80190	−	24.0118i	0.598378	−	1.84162i
$171$	−4.96678	+	15.2862i	−0.379819	+	1.16896i
$172$	−0.0801013	+	0.762113i	−0.00610767	+	0.0581106i
$173$	6.00451	+	6.66869i	0.456515	+	0.507011i	0.926827	−	0.375489i	$-0.122525\pi$
$173$	6.00451	+	6.66869i	0.456515	+	0.507011i	−0.470312	+	0.882500i	$0.655859\pi$
$174$	0.506222	−	0.562217i	0.0383766	−	0.0426215i
$175$	−0.208013	−	1.97911i	−0.0157243	−	0.149607i
$176$	−0.290017	−	0.0616451i	−0.0218609	−	0.00464667i
$177$	−22.0761	+	9.82893i	−1.65934	+	0.738787i
$178$	4.11558	+	2.99015i	0.308476	+	0.224121i
$179$	−10.3144	−	4.59227i	−0.770935	−	0.343242i	−0.0167114	−	0.999860i	$-0.505320\pi$
$179$	−10.3144	−	4.59227i	−0.770935	−	0.343242i	−0.754223	+	0.656618i	$0.771986\pi$
$180$	14.3930	+	24.9294i	1.07279	+	1.85813i
$181$	7.47052	−	12.9393i	0.555279	−	0.961772i	−0.442602	−	0.896718i	$-0.645945\pi$
$181$	7.47052	−	12.9393i	0.555279	−	0.961772i	0.997882	−	0.0650542i	$-0.0207220\pi$
$182$	5.66979	−	4.11934i	0.420273	−	0.305346i
$183$	−19.5004	+	4.14494i	−1.44151	+	0.306403i
$184$	−6.72398	−	20.6943i	−0.495698	−	1.52560i
$185$	−21.0607			−1.54841
$186$		0			0
$187$	−3.21286			−0.234947
$188$	−8.25658	−	25.4112i	−0.602173	−	1.85330i
$189$	1.85439	−	0.394164i	0.134887	−	0.0286712i
$190$	−21.6327	+	15.7170i	−1.56940	+	1.14023i
$191$	−1.13046	+	1.95802i	−0.0817975	+	0.141677i	−0.904022	−	0.427486i	$-0.859399\pi$
$191$	−1.13046	+	1.95802i	−0.0817975	+	0.141677i	0.822225	+	0.569163i	$0.192733\pi$
$192$	−16.2269	−	28.1057i	−1.17107	−	2.02836i
$193$	23.4455	+	10.4386i	1.68764	+	0.751386i	0.999671	+	0.0256473i	$0.00816468\pi$
$193$	23.4455	+	10.4386i	1.68764	+	0.751386i	0.687970	+	0.725739i	$0.258502\pi$
$194$	−22.9431	−	16.6691i	−1.64722	−	1.19677i
$195$	−11.0036	+	4.89911i	−0.787984	+	0.350833i
$196$	14.4194	+	3.06495i	1.02996	+	0.218925i
$197$	0.647628	+	6.16177i	0.0461416	+	0.439008i	0.993067	+	0.117553i	$0.0375051\pi$
$197$	0.647628	+	6.16177i	0.0461416	+	0.439008i	−0.946925	+	0.321455i	$0.895828\pi$
$198$	3.92563	−	4.35986i	0.278983	−	0.309841i
$199$	−3.05748	−	3.39567i	−0.216739	−	0.240713i	0.624964	−	0.780653i	$-0.285113\pi$
$199$	−3.05748	−	3.39567i	−0.216739	−	0.240713i	−0.841703	+	0.539940i	$0.818447\pi$
$200$	−0.396934	+	3.77658i	−0.0280675	+	0.267044i
$201$	−3.79246	+	11.6720i	−0.267499	+	0.823279i
$202$	5.23698	−	16.1178i	0.368472	−	1.13404i
$203$	0.0215898	−	0.205413i	0.00151531	−	0.0144172i
$204$	24.7719	+	27.5119i	1.73438	+	1.92622i
$205$	12.3278	−	13.6914i	0.861010	−	0.956249i
$206$	−1.34802	−	12.8255i	−0.0939210	−	0.893598i
$207$	24.1296	+	5.12890i	1.67712	+	0.356483i
$208$	−0.699987	+	0.311654i	−0.0485353	+	0.0216093i
$209$	2.75286	+	2.00007i	0.190419	+	0.138348i
$210$	21.4525	+	9.55127i	1.48036	+	0.659100i
$211$	9.30839	+	16.1226i	0.640816	+	1.10993i	0.985251	+	0.171115i	$0.0547371\pi$
$211$	9.30839	+	16.1226i	0.640816	+	1.10993i	−0.344435	+	0.938810i	$0.611930\pi$
$212$	−9.53225	+	16.5103i	−0.654678	+	1.13394i
$213$	−7.00448	+	5.08906i	−0.479939	+	0.348696i
$214$	−4.11732	+	0.875162i	−0.281454	+	0.0598249i
$215$	−0.177955	−	0.547689i	−0.0121364	−	0.0373521i
$216$	−3.61764			−0.246149
$217$		0			0
$218$	27.1487			1.83874
$219$	−2.11526	−	6.51010i	−0.142936	−	0.439912i
$220$	5.96100	−	1.26705i	0.401891	−	0.0854245i
$221$	−6.71721	+	4.88034i	−0.451849	+	0.328287i
$222$	24.7296	−	42.8329i	1.65974	−	2.87475i
$223$	−3.10748	−	5.38231i	−0.208092	−	0.360426i	0.743021	−	0.669268i	$-0.233392\pi$
$223$	−3.10748	−	5.38231i	−0.208092	−	0.360426i	−0.951113	+	0.308842i	$0.900059\pi$
$224$	−7.58169	−	3.37559i	−0.506573	−	0.225541i
$225$	−3.48292	−	2.53049i	−0.232194	−	0.168699i
$226$	23.3033	−	10.3753i	1.55011	−	0.690154i
$227$	12.7627	+	2.71279i	0.847088	+	0.180054i	0.610954	−	0.791666i	$-0.290786\pi$
$227$	12.7627	+	2.71279i	0.847088	+	0.180054i	0.236134	+	0.971720i	$0.424119\pi$
$228$	−4.09842	−	38.9939i	−0.271425	−	2.58243i
$229$	10.2229	−	11.3537i	0.675550	−	0.750275i	−0.303736	−	0.952756i	$-0.598234\pi$
$229$	10.2229	−	11.3537i	0.675550	−	0.750275i	0.979286	+	0.202482i	$0.0649006\pi$
$230$	27.4610	+	30.4985i	1.81072	+	2.01101i
$231$	0.312361	−	2.97191i	0.0205518	−	0.195537i
$232$	−0.121794	+	0.374842i	−0.00799614	+	0.0246096i
$233$	4.03615	−	12.4220i	0.264417	−	0.813792i	−0.727410	−	0.686203i	$-0.759276\pi$
$233$	4.03615	−	12.4220i	0.264417	−	0.813792i	0.991827	−	0.127589i	$-0.0407238\pi$
$234$	1.58480	−	15.0783i	0.103601	−	0.985700i
$235$	13.4354	+	14.9216i	0.876431	+	0.973375i
$236$	21.1424	−	23.4810i	1.37625	−	1.52848i
$237$	1.20347	+	11.4502i	0.0781737	+	0.743773i
$238$	15.8336	+	3.36553i	1.02634	+	0.218155i
$239$	−21.4155	+	9.53481i	−1.38526	+	0.616756i	−0.957841	−	0.287300i	$-0.907242\pi$
$239$	−21.4155	+	9.53481i	−1.38526	+	0.616756i	−0.427415	+	0.904055i	$0.640576\pi$
$240$	−2.07709	−	1.50910i	−0.134076	−	0.0974118i
$241$	22.5756	+	10.0513i	1.45422	+	0.647462i	0.973349	−	0.229328i	$-0.0736528\pi$
$241$	22.5756	+	10.0513i	1.45422	+	0.647462i	0.480874	+	0.876790i	$0.340319\pi$
$242$	12.0704	+	20.9065i	0.775914	+	1.34392i
$243$	−11.1668	+	19.3415i	−0.716353	+	1.24076i
$244$	21.0886	−	15.3218i	1.35006	−	0.980875i
$245$	−10.8360	+	2.30327i	−0.692290	+	0.147151i
$246$	13.3700	+	41.1485i	0.852438	+	2.62353i
$247$	8.79358			0.559522
$248$		0			0
$249$	−6.78996			−0.430296
$250$	6.69458	+	20.6038i	0.423403	+	1.30310i
$251$	22.6873	−	4.82233i	1.43201	−	0.304383i	0.574354	−	0.818607i	$-0.305253\pi$
$251$	22.6873	−	4.82233i	1.43201	−	0.304383i	0.857656	+	0.514224i	$0.171920\pi$
$252$	−14.9312	+	10.8482i	−0.940580	+	0.683371i
$253$	2.61125	−	4.52282i	0.164168	−	0.284348i
$254$	1.48493	+	2.57198i	0.0931729	+	0.161380i
$255$	−25.4156	−	11.3158i	−1.59159	−	0.708620i
$256$	14.9862	+	10.8881i	0.936635	+	0.680505i
$257$	14.0194	−	6.24183i	0.874504	−	0.389354i	0.0801310	−	0.996784i	$-0.474466\pi$
$257$	14.0194	−	6.24183i	0.874504	−	0.389354i	0.794373	+	0.607430i	$0.207799\pi$
$258$	1.32284	+	0.281177i	0.0823561	+	0.0175053i
$259$	−1.41145	−	13.4290i	−0.0877031	−	0.834439i
$260$	10.5382	−	11.7038i	0.653550	−	0.725841i
$261$	−0.298988	−	0.332060i	−0.0185069	−	0.0205540i
$262$	1.93453	−	18.4058i	0.119515	−	1.13711i
$263$	−2.10313	+	6.47277i	−0.129685	+	0.399128i	−0.994725	−	0.102573i	$-0.967292\pi$
$263$	−2.10313	+	6.47277i	−0.129685	+	0.399128i	0.865041	+	0.501701i	$0.167292\pi$
$264$	−1.76211	+	5.42321i	−0.108450	+	0.333775i
$265$	1.49755	−	14.2483i	0.0919940	−	0.875265i
$266$	−11.4715	−	12.7404i	−0.703363	−	0.781164i
$267$	3.75092	−	4.16581i	0.229552	−	0.254944i
$268$	−1.67735	−	15.9589i	−0.102460	−	0.974846i
$269$	−10.2898	−	2.18716i	−0.627378	−	0.133353i	−0.116759	−	0.993160i	$-0.537250\pi$
$269$	−10.2898	−	2.18716i	−0.627378	−	0.133353i	−0.510619	+	0.859807i	$0.670584\pi$
$270$	6.23329	−	2.77524i	0.379346	−	0.168896i
$271$	1.27593	+	0.927019i	0.0775074	+	0.0563124i	0.625864	−	0.779932i	$-0.284746\pi$
$271$	1.27593	+	0.927019i	0.0775074	+	0.0563124i	−0.548357	+	0.836244i	$0.684746\pi$
$272$	−1.61680	−	0.719845i	−0.0980328	−	0.0436470i
$273$	−3.86128	−	6.68794i	−0.233695	−	0.404772i
$274$	19.0103	−	32.9268i	1.14845	−	1.98918i
$275$	−0.737355	+	0.535720i	−0.0444642	+	0.0323051i
$276$	−58.8626	+	12.5116i	−3.54311	+	0.753112i
$277$	3.73952	+	11.5091i	0.224686	+	0.691513i	0.998323	+	0.0578841i	$0.0184354\pi$
$277$	3.73952	+	11.5091i	0.224686	+	0.691513i	−0.773637	+	0.633629i	$0.781565\pi$
$278$	16.9368			1.01580
$279$		0			0
$280$	−12.2337			−0.731106
$281$	−6.63544	−	20.4218i	−0.395837	−	1.21826i	−0.928308	−	0.371813i	$-0.878736\pi$
$281$	−6.63544	−	20.4218i	−0.395837	−	1.21826i	0.532470	−	0.846449i	$-0.321264\pi$
$282$	−46.1231	+	9.80377i	−2.74659	+	0.583806i
$283$	0.557256	−	0.404870i	0.0331254	−	0.0240670i	−0.571099	−	0.820881i	$-0.693483\pi$
$283$	0.557256	−	0.404870i	0.0331254	−	0.0240670i	0.604225	+	0.796814i	$0.293483\pi$
$284$	5.66030	−	9.80392i	0.335877	−	0.581756i
$285$	14.7324	+	25.5173i	0.872675	+	1.51152i
$286$	−2.93226	−	1.30553i	−0.173388	−	0.0771974i
$287$	9.55629	+	6.94305i	0.564090	+	0.409835i
$288$	−16.4020	+	7.30262i	−0.966494	+	0.430311i
$289$	−2.13015	−	0.452778i	−0.125303	−	0.0266340i
$290$	−0.0777030	−	0.739295i	−0.00456288	−	0.0434129i
$291$	−20.9102	+	23.2231i	−1.22578	+	1.36136i
$292$	5.98885	+	6.65129i	0.350471	+	0.389237i
$293$	−0.941998	+	8.96251i	−0.0550321	+	0.523595i	0.931929	+	0.362640i	$0.118124\pi$
$293$	−0.941998	+	8.96251i	−0.0550321	+	0.523595i	−0.986962	+	0.160956i	$0.948542\pi$
$294$	8.03938	−	24.7427i	0.468866	−	1.44302i
$295$	−7.33750	+	22.5825i	−0.427206	+	1.31480i
$296$	−2.69335	+	25.6255i	−0.156548	+	1.48945i
$297$	−0.580994	−	0.645259i	−0.0337127	−	0.0374417i
$298$	−9.82305	+	10.9096i	−0.569034	+	0.631976i
$299$	−1.41076	−	13.4225i	−0.0815864	−	0.776243i
$300$	10.2726	+	2.18351i	0.593088	+	0.126065i
$301$	0.337299	−	0.150175i	0.0194416	−	0.00865595i
$302$	10.3137	+	7.49336i	0.593488	+	0.431195i
$303$	−17.0601	−	7.59563i	−0.980076	−	0.436358i
$304$	0.937195	+	1.62327i	0.0537518	+	0.0931009i
$305$	−9.79451	+	16.9646i	−0.560832	+	0.971389i
$306$	28.3310	−	20.5837i	1.61958	−	1.17669i
$307$	30.6480	−	6.51442i	1.74917	−	0.371798i	0.781479	−	0.623932i	$-0.214466\pi$
$307$	30.6480	−	6.51442i	1.74917	−	0.371798i	0.967692	+	0.252134i	$0.0811323\pi$
$308$	1.20741	+	3.71602i	0.0687985	+	0.211740i
$309$	−14.2107			−0.808416
$310$		0			0
$311$	−17.7139			−1.00447			−0.502233	−	0.864732i	$-0.667488\pi$
$311$	−17.7139			−1.00447			−0.502233	+	0.864732i	$0.667488\pi$
$312$	4.55378	+	14.0151i	0.257807	+	0.793448i
$313$	21.1952	−	4.50518i	1.19802	−	0.254648i	0.434646	−	0.900601i	$-0.356873\pi$
$313$	21.1952	−	4.50518i	1.19802	−	0.254648i	0.763377	+	0.645954i	$0.223540\pi$
$314$	−14.9243	+	10.8431i	−0.842228	+	0.611914i
$315$	6.93475	−	12.0113i	0.390729	−	0.676762i
$316$	−7.52698	−	13.0371i	−0.423426	−	0.733395i
$317$	0.928205	+	0.413263i	0.0521332	+	0.0232112i	0.432638	−	0.901568i	$-0.357583\pi$
$317$	0.928205	+	0.413263i	0.0521332	+	0.0232112i	−0.380504	+	0.924779i	$0.624250\pi$
$318$	27.2195	+	19.7761i	1.52639	+	1.10899i
$319$	−0.0864186	+	0.0384760i	−0.00483851	+	0.00215425i
$320$	−31.1919	−	6.63005i	−1.74368	−	0.370631i
$321$	0.484838	+	4.61293i	0.0270610	+	0.257468i
$322$	−17.6065	+	19.5540i	−0.981173	+	1.08970i
$323$	13.5907	+	15.0940i	0.756209	+	0.839855i
$324$	2.56717	−	24.4249i	0.142620	−	1.35694i
$325$	−0.727849	+	2.24009i	−0.0403738	+	0.124258i
$326$	−12.1687	+	37.4515i	−0.673964	+	2.07425i
$327$	3.12706	−	29.7520i	0.172927	−	1.64529i
$328$	−15.0824	−	16.7507i	−0.832786	−	0.924903i
$329$	−8.61408	+	9.56690i	−0.474909	+	0.527440i
$330$	−1.12421	−	10.6961i	−0.0618855	−	0.588801i
$331$	−26.1062	−	5.54905i	−1.43493	−	0.305003i	−0.576147	−	0.817346i	$-0.695444\pi$
$331$	−26.1062	−	5.54905i	−1.43493	−	0.305003i	−0.858781	+	0.512343i	$0.828778\pi$
$332$	8.11051	−	3.61103i	0.445122	−	0.198181i
$333$	−23.6329	−	17.1703i	−1.29508	−	0.940928i
$334$	−51.3774	−	22.8747i	−2.81124	−	1.25165i
$335$	6.02951	+	10.4434i	0.329427	+	0.570584i
$336$	0.823049	−	1.42556i	0.0449010	−	0.0777708i
$337$	−25.8412	+	18.7748i	−1.40766	+	1.02273i	−0.414005	+	0.910274i	$0.635871\pi$
$337$	−25.8412	+	18.7748i	−1.40766	+	1.02273i	−0.993657	+	0.112452i	$0.964129\pi$
$338$	21.2287	−	4.51229i	1.15469	−	0.245436i
$339$	−8.68604	−	26.7329i	−0.471761	−	1.45193i
$340$	36.3765			1.97279
$341$		0			0
$342$	−37.0885			−2.00552
$343$	−5.65991	−	17.4194i	−0.305606	−	0.940560i
$344$	−0.689156	+	0.146485i	−0.0371568	+	0.00789792i
$345$	36.5860	−	26.5813i	1.96973	−	1.43109i
$346$	−10.3534	+	17.9326i	−0.556603	+	0.964065i
$347$	−1.56066	−	2.70314i	−0.0837804	−	0.145112i	0.821090	−	0.570798i	$-0.193366\pi$
$347$	−1.56066	−	2.70314i	−0.0837804	−	0.145112i	−0.904871	+	0.425686i	$0.860033\pi$
$348$	0.995780	+	0.443350i	0.0533794	+	0.0237660i
$349$	17.8198	+	12.9468i	0.953871	+	0.693028i	0.951719	−	0.306970i	$-0.0993151\pi$
$349$	17.8198	+	12.9468i	0.953871	+	0.693028i	0.00215168	+	0.999998i	$0.499315\pi$
$350$	4.19501	−	1.86774i	0.224233	−	0.0998348i
$351$	−2.19485	−	0.466530i	−0.117153	−	0.0249015i
$352$	0.397314	+	3.78019i	0.0211769	+	0.201485i
$353$	3.30041	−	3.66548i	0.175663	−	0.195094i	−0.648883	−	0.760888i	$-0.724764\pi$
$353$	3.30041	−	3.66548i	0.175663	−	0.195094i	0.824547	+	0.565794i	$0.191430\pi$
$354$	−37.3122	−	41.4394i	−1.98312	−	2.20248i
$355$	−0.889255	+	8.46069i	−0.0471967	+	0.449047i
$356$	−2.26495	+	6.97081i	−0.120042	+	0.369452i
$357$	5.51201	−	16.9642i	0.291726	−	0.897842i
$358$	2.72330	−	25.9105i	0.143931	−	1.36941i
$359$	−0.241462	−	0.268171i	−0.0127439	−	0.0141535i	0.736739	−	0.676177i	$-0.236365\pi$
$359$	−0.241462	−	0.268171i	−0.0127439	−	0.0141535i	−0.749483	+	0.662024i	$0.769698\pi$
$360$	−17.7092	+	19.6681i	−0.933359	+	1.03660i
$361$	−0.262501	−	2.49753i	−0.0138158	−	0.131449i
$362$	33.7235	+	7.16814i	1.77247	+	0.376749i
$363$	24.3015	−	10.8197i	1.27550	−	0.567889i
$364$	8.16902	+	5.93514i	0.428173	+	0.311086i
$365$	−6.14448	−	2.73570i	−0.321617	−	0.143193i
$366$	−23.0015	−	39.8398i	−1.20231	−	2.08246i
$367$	14.6935	−	25.4498i	0.766992	−	1.32847i	−0.172195	−	0.985063i	$-0.555086\pi$
$367$	14.6935	−	25.4498i	0.766992	−	1.32847i	0.939187	−	0.343406i	$-0.111581\pi$
$368$	2.32740	−	1.69095i	0.121324	−	0.0881470i
$369$	24.9957	−	5.31300i	1.30122	−	0.276584i
$370$	−15.0177	−	46.2196i	−0.780731	−	2.40284i
$371$	9.18555			0.476890
$372$		0			0
$373$	17.7284			0.917941			0.458971	−	0.888451i	$-0.348218\pi$
$373$	17.7284			0.917941			0.458971	+	0.888451i	$0.348218\pi$
$374$	−2.29098	−	7.05090i	−0.118464	−	0.364593i
$375$	23.3506	−	4.96332i	1.20582	−	0.256305i
$376$	19.8739	−	14.4392i	1.02492	−	0.744647i
$377$	−0.122233	+	0.211713i	−0.00629530	+	0.0109038i
$378$	2.18733	+	3.78857i	0.112504	+	0.194863i
$379$	−2.24771	−	1.00074i	−0.115457	−	0.0514047i	0.348195	−	0.937422i	$-0.386795\pi$
$379$	−2.24771	−	1.00074i	−0.115457	−	0.0514047i	−0.463652	+	0.886017i	$0.653461\pi$
$380$	−31.1683	−	22.6451i	−1.59890	−	1.16167i
$381$	2.98964	−	1.33107i	0.153164	−	0.0681930i
$382$	−5.10315	−	1.08471i	−0.261100	−	0.0554984i
$383$	1.99837	+	19.0132i	0.102112	+	0.971528i	0.918873	+	0.394553i	$0.129101\pi$
$383$	1.99837	+	19.0132i	0.102112	+	0.971528i	−0.816761	+	0.576975i	$0.804233\pi$
$384$	32.4800	−	36.0727i	1.65749	−	1.84083i
$385$	−1.96474	−	2.18207i	−0.100133	−	0.111208i
$386$	−6.19027	+	58.8965i	−0.315077	+	2.99775i
$387$	0.246829	−	0.759663i	0.0125470	−	0.0386158i
$388$	12.6264	−	38.8600i	0.641008	−	1.97282i
$389$	−0.550976	+	5.24218i	−0.0279356	+	0.265789i	0.971635	+	0.236486i	$0.0759956\pi$
$389$	−0.550976	+	5.24218i	−0.0279356	+	0.265789i	−0.999571	+	0.0293036i	$0.990671\pi$
$390$	−18.5978	−	20.6550i	−0.941737	−	1.04590i
$391$	20.8591	−	23.1664i	1.05489	−	1.17157i
$392$	1.41673	+	13.4793i	0.0715556	+	0.680806i
$393$	−19.9479	−	4.24006i	−1.00624	−	0.213883i
$394$	−13.0607	+	5.81502i	−0.657991	+	0.292956i
$395$	9.15232	+	6.64955i	0.460503	+	0.334575i
$396$	7.72204	+	3.43807i	0.388047	+	0.172770i
$397$	−8.46275	−	14.6579i	−0.424733	−	0.735660i	0.571662	−	0.820489i	$-0.306299\pi$
$397$	−8.46275	−	14.6579i	−0.424733	−	0.735660i	−0.996395	+	0.0848295i	$0.972965\pi$
$398$	5.27193	−	9.13124i	0.264258	−	0.457708i
$399$	−15.2834	+	11.1040i	−0.765126	+	0.555897i
$400$	−0.491086	+	0.104384i	−0.0245543	+	0.00521918i
$401$	11.7549	+	36.1779i	0.587012	+	1.80664i	0.591037	+	0.806644i	$0.298719\pi$
$401$	11.7549	+	36.1779i	0.587012	+	1.80664i	−0.00402560	+	0.999992i	$0.501281\pi$
$402$	−28.3195			−1.41245
$403$		0			0
$404$	24.4175			1.21482
$405$	5.70327	+	17.5529i	0.283398	+	0.872209i
$406$	0.466192	−	0.0990922i	0.0231367	−	0.00491786i
$407$	−5.00324	+	3.63507i	−0.248001	+	0.180183i
$408$	−17.0187	+	29.4772i	−0.842550	+	1.45934i
$409$	−0.249342	−	0.431873i	−0.0123292	−	0.0213547i	0.859795	−	0.510639i	$-0.170591\pi$
$409$	−0.249342	−	0.431873i	−0.0123292	−	0.0213547i	−0.872124	+	0.489285i	$0.837258\pi$
$410$	38.8375	+	17.2916i	1.91805	+	0.853969i
$411$	−33.8944	−	24.6258i	−1.67189	−	1.21470i
$412$	16.9744	−	7.55750i	0.836269	−	0.372331i
$413$	−14.8911	−	3.16521i	−0.732744	−	0.155750i
$414$	5.95013	+	56.6117i	0.292433	+	2.78231i
$415$	−4.46428	+	4.95808i	−0.219143	+	0.243383i
$416$	6.57279	+	7.29983i	0.322258	+	0.357903i
$417$	1.95083	−	18.5609i	0.0955325	−	0.908931i
$418$	−2.42636	+	7.46757i	−0.118677	+	0.365251i
$419$	4.17482	−	12.8488i	0.203953	−	0.627704i	−0.795801	−	0.605558i	$-0.792950\pi$
$419$	4.17482	−	12.8488i	0.203953	−	0.627704i	0.999755	−	0.0221460i	$-0.00704986\pi$
$420$	−3.53660	+	33.6485i	−0.172568	+	1.64188i
$421$	−20.6862	−	22.9744i	−1.00819	−	1.11970i	−0.992795	−	0.119822i	$-0.961767\pi$
$421$	−20.6862	−	22.9744i	−1.00819	−	1.11970i	−0.0153907	−	0.999882i	$-0.504899\pi$
$422$	−28.7450	+	31.9245i	−1.39928	+	1.55406i
$423$	2.91113	+	27.6976i	0.141544	+	1.34670i
$424$	−17.1450	−	3.64428i	−0.832635	−	0.176982i
$425$	−4.96999	+	2.21278i	−0.241080	+	0.107336i
$426$	−16.1630	−	11.7431i	−0.783102	−	0.568957i
$427$	−11.4736	−	5.10838i	−0.555247	−	0.247212i
$428$	−3.03237	−	5.25223i	−0.146575	−	0.253876i
$429$	−1.76846	+	3.06306i	−0.0853820	+	0.147886i
$430$	1.07506	−	0.781076i	0.0518439	−	0.0376668i
$431$	11.7914	−	2.50633i	0.567970	−	0.120726i	0.0850289	−	0.996378i	$-0.472902\pi$
$431$	11.7914	−	2.50633i	0.567970	−	0.120726i	0.482941	+	0.875653i	$0.339568\pi$
$432$	−0.147801	−	0.454884i	−0.00711108	−	0.0218856i
$433$	−32.3919			−1.55665			−0.778327	−	0.627860i	$-0.783931\pi$
$433$	−32.3919			−1.55665			−0.778327	+	0.627860i	$0.783931\pi$
$434$		0			0
$435$	−0.819136			−0.0392745
$436$	12.0875	+	37.2013i	0.578884	+	1.78162i
$437$	−32.2941	+	6.86433i	−1.54484	+	0.328366i
$438$	12.7787	−	9.28426i	0.610589	−	0.443619i
$439$	−6.18408	+	10.7111i	−0.295150	+	0.511215i	−0.975020	−	0.222118i	$-0.928703\pi$
$439$	−6.18408	+	10.7111i	−0.295150	+	0.511215i	0.679870	+	0.733333i	$0.262036\pi$
$440$	2.80151	+	4.85236i	0.133557	+	0.231327i
$441$	−14.0373	−	6.24981i	−0.668443	−	0.297610i
$442$	−15.5001	−	11.2615i	−0.737267	−	0.535656i
$443$	−4.31505	+	1.92118i	−0.205014	+	0.0912781i	−0.506675	−	0.862137i	$-0.669126\pi$
$443$	−4.31505	+	1.92118i	−0.205014	+	0.0912781i	0.301661	+	0.953415i	$0.402459\pi$
$444$	69.7034	+	14.8159i	3.30798	+	0.703132i
$445$	−0.575750	−	5.47790i	−0.0272932	−	0.259677i
$446$	9.59612	−	10.6576i	0.454389	−	0.504650i
$447$	10.8243	+	12.0216i	0.511971	+	0.568601i
$448$	2.13712	−	20.3334i	0.100970	−	0.960661i
$449$	−4.93939	+	15.2019i	−0.233104	+	0.717421i	0.764263	+	0.644905i	$0.223103\pi$
$449$	−4.93939	+	15.2019i	−0.233104	+	0.717421i	−0.997367	+	0.0725162i	$0.976897\pi$
$450$	3.06983	−	9.44797i	0.144713	−	0.445381i
$451$	0.565496	−	5.38033i	0.0266282	−	0.253350i
$452$	24.5924	+	27.3126i	1.15673	+	1.28468i
$453$	9.39986	−	10.4396i	0.441644	−	0.490495i
$454$	3.14716	+	29.9432i	0.147703	+	1.40530i
$455$	−7.42231	−	1.57766i	−0.347963	−	0.0739619i
$456$	32.9322	−	14.6623i	1.54219	−	0.686627i
$457$	−3.68730	−	2.67898i	−0.172484	−	0.125317i	0.498194	−	0.867066i	$-0.333997\pi$
$457$	−3.68730	−	2.67898i	−0.172484	−	0.125317i	−0.670678	+	0.741748i	$0.733997\pi$
$458$	32.2064	+	14.3392i	1.50490	+	0.670026i
$459$	−2.59141	−	4.48846i	−0.120957	−	0.209503i
$460$	−29.5650	+	51.2081i	−1.37848	+	2.38759i
$461$	13.7460	−	9.98705i	0.640215	−	0.465143i	−0.219709	−	0.975565i	$-0.570511\pi$
$461$	13.7460	−	9.98705i	0.640215	−	0.465143i	0.859924	+	0.510422i	$0.170511\pi$
$462$	6.74486	−	1.43366i	0.313799	−	0.0667001i
$463$	8.47567	+	26.0854i	0.393898	+	1.21229i	0.929816	+	0.368024i	$0.119965\pi$
$463$	8.47567	+	26.0854i	0.393898	+	1.21229i	−0.535918	+	0.844270i	$0.680035\pi$
$464$	−0.0521088			−0.00241909
$465$		0			0
$466$	30.1392			1.39617
$467$	−7.07973	−	21.7892i	−0.327611	−	1.00828i	−0.970248	−	0.242112i	$-0.922160\pi$
$467$	−7.07973	−	21.7892i	−0.327611	−	1.00828i	0.642637	−	0.766171i	$-0.277840\pi$
$468$	21.3671	−	4.54172i	0.987696	−	0.209941i
$469$	−6.25499	+	4.54452i	−0.288829	+	0.209846i
$470$	−23.1663	+	40.1253i	−1.06858	+	1.85084i
$471$	10.1639	+	17.6043i	0.468327	+	0.811165i
$472$	26.5388	+	11.8158i	1.22155	+	0.543868i
$473$	−0.136806	−	0.0993955i	−0.00629036	−	0.00457021i
$474$	−24.2704	+	10.8059i	−1.11478	+	0.496331i
$475$	5.63591	+	1.19795i	0.258593	+	0.0549657i
$476$	2.43788	+	23.1949i	0.111740	+	1.06314i
$477$	13.2968	−	14.7675i	0.608817	−	0.676159i
$478$	−36.1957	−	40.1993i	−1.65555	−	1.83868i
$479$	−0.945674	+	8.99749i	−0.0432090	+	0.411106i	0.951443	+	0.307824i	$0.0996009\pi$
$479$	−0.945674	+	8.99749i	−0.0432090	+	0.411106i	−0.994652	+	0.103282i	$0.967066\pi$
$480$	−10.1709	+	31.3029i	−0.464237	+	1.42877i
$481$	−4.93874	+	15.1999i	−0.225187	+	0.693054i
$482$	−5.96061	+	56.7114i	−0.271498	+	2.58313i
$483$	19.4011	+	21.5471i	0.882780	+	0.980426i
$484$	−23.2737	+	25.8480i	−1.05789	+	1.17491i
$485$	3.20962	+	30.5375i	0.145741	+	1.38664i
$486$	−50.4093	−	10.7148i	−2.28661	−	0.486035i
$487$	−21.5804	+	9.60820i	−0.977900	+	0.435389i	−0.832525	−	0.553987i	$-0.813106\pi$
$487$	−21.5804	+	9.60820i	−0.977900	+	0.435389i	−0.145375	+	0.989377i	$0.546439\pi$
$488$	19.3890	+	14.0869i	0.877699	+	0.637686i
$489$	39.6411	+	17.6494i	1.79263	+	0.798132i
$490$	−12.7815	−	22.1383i	−0.577411	−	1.00011i
$491$	−4.61346	+	7.99074i	−0.208202	+	0.360617i	−0.951148	−	0.308734i	$-0.900095\pi$
$491$	−4.61346	+	7.99074i	−0.208202	+	0.360617i	0.742946	+	0.669351i	$0.233428\pi$
$492$	−50.4323	+	36.6412i	−2.27366	+	1.65191i
$493$	−0.552316	+	0.117398i	−0.0248750	+	0.00528735i
$494$	6.27040	+	19.2983i	0.282119	+	0.868271i
$495$	−6.35220			−0.285510
$496$		0			0
$497$	−5.45442			−0.244664
$498$	−4.84168	−	14.9012i	−0.216961	−	0.667737i
$499$	−27.7930	+	5.90759i	−1.24419	+	0.264460i	−0.782538	−	0.622603i	$-0.786075\pi$
$499$	−27.7930	+	5.90759i	−1.24419	+	0.264460i	−0.461649	+	0.887063i	$0.652742\pi$
$500$	−25.2524	+	18.3469i	−1.12932	+	0.820499i
$501$	−30.9859	+	53.6692i	−1.38435	+	2.39776i
$502$	26.7606	+	46.3506i	1.19438	+	2.06873i
$503$	16.6978	+	7.43436i	0.744520	+	0.331482i	0.743696	−	0.668518i	$-0.233071\pi$
$503$	16.6978	+	7.43436i	0.744520	+	0.331482i	0.000824152		1.00000i	$0.499738\pi$
$504$	−13.7279	−	9.97390i	−0.611489	−	0.444273i
$505$	−16.7631	+	7.46341i	−0.745948	+	0.332117i
$506$	11.7877	+	2.50556i	0.524029	+	0.111386i
$507$	−2.49980	−	23.7840i	−0.111020	−	1.05629i
$508$	−2.86319	+	3.17990i	−0.127034	+	0.141085i
$509$	6.94983	+	7.71857i	0.308046	+	0.342119i	0.877212	−	0.480103i	$-0.159401\pi$
$509$	6.94983	+	7.71857i	0.308046	+	0.342119i	−0.569166	+	0.822222i	$0.692734\pi$
$510$	6.71045	−	63.8457i	0.297144	−	2.82713i
$511$	1.33258	−	4.10127i	0.0589500	−	0.181429i
$512$	−1.41050	+	4.34106i	−0.0623357	+	0.191849i
$513$	−0.573767	+	5.45903i	−0.0253324	+	0.241022i
$514$	23.6950	+	26.3159i	1.04514	+	1.16075i
$515$	−9.34325	+	10.3767i	−0.411713	+	0.457253i
$516$	0.203676	+	1.93784i	0.00896632	+	0.0853088i
$517$	5.76721	+	1.22586i	0.253641	+	0.0539132i
$518$	28.4647	−	12.6733i	1.25067	−	0.556833i
$519$	18.4597	+	13.4117i	0.810289	+	0.588710i
$520$	13.2280	+	5.88947i	0.580084	+	0.258270i
$521$	−4.62522	−	8.01111i	−0.202635	−	0.350973i	0.746742	−	0.665114i	$-0.231617\pi$
$521$	−4.62522	−	8.01111i	−0.202635	−	0.350973i	−0.949376	+	0.314141i	$0.898284\pi$
$522$	0.515537	−	0.892937i	0.0225645	−	0.0390828i
$523$	5.31942	−	3.86478i	0.232602	−	0.168995i	−0.465379	−	0.885111i	$-0.654082\pi$
$523$	5.31942	−	3.86478i	0.232602	−	0.168995i	0.697981	+	0.716116i	$0.254082\pi$
$524$	26.0824	−	5.54399i	1.13942	−	0.242190i
$525$	−1.56364	−	4.81240i	−0.0682429	−	0.210030i
$526$	−15.7047			−0.684759
$527$		0			0
$528$	−0.753909			−0.0328097
$529$	8.55127	+	26.3181i	0.371794	+	1.14427i
$530$	32.3370	−	6.87343i	1.40463	−	0.298563i
$531$	−26.6447	+	19.3585i	−1.15628	+	0.840086i
$532$	12.3504	−	21.3916i	0.535460	−	0.927443i
$533$	−6.99044	−	12.1078i	−0.302790	−	0.524447i
$534$	11.8169	+	5.26122i	0.511367	+	0.227675i
$535$	3.68717	+	2.67888i	0.159410	+	0.115818i
$536$	13.4781	−	6.00082i	0.582163	−	0.259196i
$537$	−28.0813	−	5.96887i	−1.21180	−	0.257576i
$538$	−2.53736	−	24.1414i	−0.109393	−	1.04081i
$539$	−2.17670	+	2.41747i	−0.0937570	+	0.104128i
$540$	6.57811	+	7.30573i	0.283077	+	0.314389i
$541$	0.230305	−	2.19121i	0.00990159	−	0.0942073i	−0.988455	−	0.151515i	$-0.951585\pi$
$541$	0.230305	−	2.19121i	0.00990159	−	0.0942073i	0.998357	+	0.0573075i	$0.0182515\pi$
$542$	−1.12460	+	3.46117i	−0.0483058	+	0.148670i
$543$	11.7398	−	36.1315i	0.503805	−	1.55055i
$544$	−2.37159	+	22.5642i	−0.101681	+	0.967431i
$545$	−19.6692	−	21.8448i	−0.842534	−	0.935729i
$546$	11.9239	−	13.2429i	0.510297	−	0.566742i
$547$	0.508368	+	4.83680i	0.0217363	+	0.206807i	1.00000		0.000558580i	$-0.000177802\pi$
$547$	0.508368	+	4.83680i	0.0217363	+	0.206807i	−0.978264	+	0.207365i	$0.933511\pi$
$548$	53.5829	+	11.3894i	2.28895	+	0.486531i
$549$	−24.8216	+	11.0513i	−1.05936	+	0.471657i
$550$	−1.70147	−	1.23619i	−0.0725508	−	0.0527112i
$551$	0.546321	+	0.243238i	0.0232740	+	0.0103623i
$552$	−27.6639	−	47.9152i	−1.17745	−	2.03941i
$553$	−3.62661	+	6.28147i	−0.154219	+	0.267115i
$554$	−22.5911	+	16.4134i	−0.959806	+	0.697340i
$555$	−52.3813	+	11.1340i	−2.22346	+	0.472612i
$556$	7.54080	+	23.2082i	0.319801	+	0.984247i
$557$	11.0363			0.467623			0.233811	−	0.972282i	$-0.424880\pi$
$557$	11.0363			0.467623			0.233811	+	0.972282i	$0.424880\pi$
$558$		0			0
$559$	−0.437007			−0.0184834
$560$	−0.499817	−	1.53828i	−0.0211211	−	0.0650041i
$561$	−7.99089	+	1.69852i	−0.337376	+	0.0717114i
$562$	40.0859	−	29.1241i	1.69092	−	1.22853i
$563$	5.59621	−	9.69292i	0.235852	−	0.408508i	−0.723668	−	0.690148i	$-0.757545\pi$
$563$	5.59621	−	9.69292i	0.235852	−	0.408508i	0.959520	+	0.281641i	$0.0908786\pi$
$564$	−33.9694	−	58.8366i	−1.43037	−	2.47747i
$565$	−25.2315	−	11.2338i	−1.06150	−	0.472609i
$566$	1.28588	+	0.934249i	0.0540497	+	0.0392694i
$567$	−10.8101	+	4.81296i	−0.453981	+	0.202125i
$568$	10.1808	+	2.16399i	0.427176	+	0.0907991i
$569$	4.90468	+	46.6649i	0.205615	+	1.95630i	0.282530	+	0.959258i	$0.408826\pi$
$569$	4.90468	+	46.6649i	0.205615	+	1.95630i	−0.0769152	+	0.997038i	$0.524507\pi$
$570$	−45.4949	+	50.5272i	−1.90557	+	2.11635i
$571$	−13.6902	−	15.2045i	−0.572917	−	0.636288i	0.385143	−	0.922857i	$-0.374152\pi$
$571$	−13.6902	−	15.2045i	−0.572917	−	0.636288i	−0.958060	+	0.286569i	$0.907485\pi$
$572$	0.483404	−	4.59928i	0.0202121	−	0.192306i
$573$	−1.77651	+	5.46755i	−0.0742149	+	0.228410i
$574$	−8.42288	+	25.9230i	−0.351564	+	1.08200i
$575$	0.924372	−	8.79482i	0.0385490	−	0.366769i
$576$	−29.5962	−	32.8699i	−1.23317	−	1.36958i
$577$	2.44122	−	2.71125i	0.101629	−	0.112871i	−0.690184	−	0.723634i	$-0.742470\pi$
$577$	2.44122	−	2.71125i	0.101629	−	0.112871i	0.791814	+	0.610763i	$0.209137\pi$
$578$	−0.525276	−	4.99767i	−0.0218486	−	0.207876i
$579$	63.8311	+	13.5677i	2.65273	+	0.563855i
$580$	0.978445	−	0.435632i	0.0406277	−	0.0180886i
$581$	−3.46063	−	2.51430i	−0.143571	−	0.104311i
$582$	−65.8754	−	29.3296i	−2.73062	−	1.21575i
$583$	−2.10348	−	3.64334i	−0.0871173	−	0.150892i
$584$	−4.11443	+	7.12641i	−0.170256	+	0.294893i
$585$	−13.2807	+	9.64901i	−0.549090	+	0.398938i
$586$	−20.3407	+	4.32356i	−0.840268	+	0.178604i
$587$	−7.06802	−	21.7531i	−0.291729	−	0.897848i	−0.984301	−	0.176500i	$-0.943523\pi$
$587$	−7.06802	−	21.7531i	−0.291729	−	0.897848i	0.692572	−	0.721349i	$-0.256477\pi$
$588$	37.4838			1.54580
$589$		0			0
$590$	−54.7914			−2.25573
$591$	4.86825	+	14.9829i	0.200253	+	0.616315i
$592$	−3.33221	+	0.708282i	−0.136953	+	0.0291102i
$593$	15.7433	−	11.4382i	0.646499	−	0.469709i	−0.215578	−	0.976487i	$-0.569163\pi$
$593$	15.7433	−	11.4382i	0.646499	−	0.469709i	0.862077	+	0.506778i	$0.169163\pi$
$594$	1.00179	−	1.73515i	0.0411040	−	0.0711943i
$595$	−8.76336	−	15.1786i	−0.359263	−	0.622261i
$596$	−19.3227	−	8.60304i	−0.791490	−	0.352394i
$597$	−9.39960	−	6.82921i	−0.384700	−	0.279501i
$598$	28.4509	−	12.6672i	1.16344	−	0.517998i
$599$	−34.4033	−	7.31264i	−1.40568	−	0.298786i	−0.558240	−	0.829679i	$-0.688523\pi$
$599$	−34.4033	−	7.31264i	−1.40568	−	0.298786i	−0.847439	+	0.530893i	$0.821857\pi$
$600$	1.00929	+	9.60279i	0.0412043	+	0.392032i
$601$	3.93988	−	4.37568i	0.160711	−	0.178488i	−0.657411	−	0.753532i	$-0.728349\pi$
$601$	3.93988	−	4.37568i	0.160711	−	0.178488i	0.818122	+	0.575044i	$0.195015\pi$
$602$	0.570089	+	0.633148i	0.0232351	+	0.0258052i
$603$	−1.74837	+	16.6346i	−0.0711991	+	0.677414i
$604$	−5.67602	+	17.4690i	−0.230954	+	0.710803i
$605$	8.07716	−	24.8590i	0.328383	−	1.01066i
$606$	4.50435	−	42.8560i	0.182977	−	1.74091i
$607$	26.0190	+	28.8971i	1.05608	+	1.17290i	0.984486	+	0.175462i	$0.0561419\pi$
$607$	26.0190	+	28.8971i	1.05608	+	1.17290i	0.0715939	+	0.997434i	$0.477191\pi$
$608$	16.0787	−	17.8572i	0.652077	−	0.724205i
$609$	−0.0548969	−	0.522309i	−0.00222453	−	0.0211650i
$610$	−44.2144	−	9.39806i	−1.79019	−	0.380516i
$611$	13.9197	−	6.19747i	0.563132	−	0.250723i
$612$	40.8193	+	29.6569i	1.65002	+	1.19881i
$613$	−41.6598	−	18.5482i	−1.68263	−	0.749153i	−0.999828	−	0.0185453i	$-0.994096\pi$
$613$	−41.6598	−	18.5482i	−1.68263	−	0.749153i	−0.682797	−	0.730608i	$-0.739237\pi$
$614$	36.1505	+	62.6144i	1.45891	+	2.52691i
$615$	23.4231	−	40.5699i	0.944509	−	1.63594i
$616$	−2.90628	+	2.11154i	−0.117097	+	0.0850762i
$617$	6.48167	−	1.37772i	0.260942	−	0.0554650i	−0.0755826	−	0.997140i	$-0.524082\pi$
$617$	6.48167	−	1.37772i	0.260942	−	0.0554650i	0.336525	+	0.941675i	$0.390748\pi$
$618$	−10.1331	−	31.1865i	−0.407614	−	1.25451i
$619$	41.5360			1.66947			0.834736	−	0.550650i	$-0.185620\pi$
$619$	41.5360			1.66947			0.834736	+	0.550650i	$0.185620\pi$
$620$		0			0
$621$	8.42469			0.338071
$622$	−12.6312	−	38.8748i	−0.506465	−	1.55874i
$623$	3.45431	−	0.734236i	0.138394	−	0.0294165i
$624$	−1.57622	+	1.14519i	−0.0630992	+	0.0458443i
$625$	14.8341	−	25.6934i	0.593364	−	1.02774i
$626$	25.0006	+	43.3022i	0.999223	+	1.73071i
$627$	7.90416	+	3.51916i	0.315662	+	0.140542i
$628$	−21.5029	−	15.6228i	−0.858060	−	0.623417i
$629$	−33.7233	+	15.0146i	−1.34463	+	0.598670i
$630$	31.3049	+	6.65406i	1.24722	+	0.265104i
$631$	−1.16494	−	11.0837i	−0.0463755	−	0.441234i	−0.992931	−	0.118693i	$-0.962130\pi$
$631$	−1.16494	−	11.0837i	−0.0463755	−	0.441234i	0.946556	−	0.322541i	$-0.104537\pi$
$632$	9.26125	−	10.2857i	0.368393	−	0.409142i
$633$	31.6748	+	35.1785i	1.25896	+	1.39822i
$634$	−0.245073	+	2.33171i	−0.00973308	+	0.0926041i
$635$	0.993675	−	3.05822i	0.0394328	−	0.121362i
$636$	−14.9798	+	46.1032i	−0.593989	+	1.82811i
$637$	−0.878742	+	8.36068i	−0.0348170	+	0.331262i
$638$	−0.146061	−	0.162217i	−0.00578262	−	0.00642225i
$639$	−7.89567	+	8.76903i	−0.312348	+	0.346898i
$640$	−4.98554	−	47.4343i	−0.197071	−	1.87500i
$641$	−17.1697	−	3.64954i	−0.678163	−	0.144148i	−0.144062	−	0.989569i	$-0.546017\pi$
$641$	−17.1697	−	3.64954i	−0.678163	−	0.144148i	−0.534101	+	0.845421i	$0.679350\pi$
$642$	−9.77775	+	4.35334i	−0.385897	+	0.171812i
$643$	1.77664	+	1.29081i	0.0700640	+	0.0509044i	0.622266	−	0.782806i	$-0.286212\pi$
$643$	1.77664	+	1.29081i	0.0700640	+	0.0509044i	−0.552202	+	0.833710i	$0.686212\pi$
$644$	−34.6334	−	15.4198i	−1.36475	−	0.607625i
$645$	−0.732145	−	1.26811i	−0.0288282	−	0.0499318i
$646$	−23.4341	+	40.5891i	−0.922003	+	1.59696i
$647$	26.2482	−	19.0704i	1.03192	−	0.749737i	0.0632310	−	0.997999i	$-0.479860\pi$
$647$	26.2482	−	19.0704i	1.03192	−	0.749737i	0.968693	+	0.248262i	$0.0798595\pi$
$648$	22.0867	−	4.69468i	0.867649	−	0.184424i
$649$	2.15461	+	6.63121i	0.0845759	+	0.260298i
$650$	−5.43508			−0.213181
$651$		0			0
$652$	−56.7370			−2.22199
$653$	5.09568	+	15.6829i	0.199409	+	0.613719i	0.999897	+	0.0143694i	$0.00457408\pi$
$653$	5.09568	+	15.6829i	0.199409	+	0.613719i	−0.800487	+	0.599350i	$0.795426\pi$
$654$	67.5232	−	14.3525i	2.64037	−	0.561227i
$655$	−16.2115	+	11.7784i	−0.633436	+	0.460218i
$656$	1.49004	−	2.58083i	0.0581764	−	0.100764i
$657$	−4.66457	−	8.07927i	−0.181982	−	0.315202i
$658$	−27.1378	−	12.0825i	−1.05794	−	0.471026i
$659$	15.9711	+	11.6037i	0.622147	+	0.452016i	0.853671	−	0.520813i	$-0.174371\pi$
$659$	15.9711	+	11.6037i	0.622147	+	0.452016i	−0.231524	+	0.972829i	$0.574371\pi$
$660$	14.1561	−	6.30271i	0.551026	−	0.245333i
$661$	−11.5234	−	2.44937i	−0.448207	−	0.0952694i	−0.0217223	−	0.999764i	$-0.506915\pi$
$661$	−11.5234	−	2.44937i	−0.448207	−	0.0952694i	−0.426485	+	0.904495i	$0.640248\pi$
$662$	−6.43755	−	61.2492i	−0.250203	−	2.38052i
$663$	−14.1267	+	15.6893i	−0.548637	+	0.609323i
$664$	5.46181	+	6.06596i	0.211959	+	0.235405i
$665$	−1.94030	+	18.4608i	−0.0752417	+	0.715877i
$666$	20.8300	−	64.1081i	0.807145	−	2.48414i
$667$	0.283630	−	0.872925i	0.0109822	−	0.0337998i
$668$	8.46992	−	80.5859i	0.327711	−	3.11796i
$669$	−10.5742	−	11.7439i	−0.408823	−	0.454044i
$670$	−18.6196	+	20.6791i	−0.719336	+	0.798904i
$671$	0.601267	+	5.72068i	0.0232117	+	0.220844i
$672$	−20.6414	−	4.38747i	−0.796260	−	0.169250i
$673$	46.0264	−	20.4923i	1.77419	−	0.789918i	0.789923	−	0.613206i	$-0.210120\pi$
$673$	46.0264	−	20.4923i	1.77419	−	0.789918i	0.984263	−	0.176712i	$-0.0565462\pi$
$674$	−59.6294	−	43.3233i	−2.29684	−	1.66875i
$675$	−1.34315	−	0.598009i	−0.0516979	−	0.0230174i
$676$	15.6348	+	27.0802i	0.601337	+	1.04155i
$677$	1.98998	−	3.44674i	0.0764810	−	0.132469i	−0.825248	−	0.564770i	$-0.808965\pi$
$677$	1.98998	−	3.44674i	0.0764810	−	0.132469i	0.901729	+	0.432301i	$0.142298\pi$
$678$	52.4740	−	38.1246i	2.01525	−	1.46417i
$679$	−19.2567	+	4.09313i	−0.739003	+	0.157080i
$680$	10.3350	+	31.8079i	0.396330	+	1.21978i
$681$	33.1770			1.27134
$682$		0			0
$683$	5.23244			0.200214			0.100107	−	0.994977i	$-0.468082\pi$
$683$	5.23244			0.200214			0.100107	+	0.994977i	$0.468082\pi$
$684$	−16.5129	−	50.8216i	−0.631388	−	1.94321i
$685$	−40.2669	+	8.55900i	−1.53852	+	0.327022i
$686$	34.1926	−	24.8423i	1.30548	−	0.948485i
$687$	19.4238	−	33.6430i	0.741064	−	1.28356i
$688$	−0.0465749	−	0.0806701i	−0.00177565	−	0.00307552i
$689$	−9.93205	−	4.42203i	−0.378381	−	0.168466i
$690$	84.4233	+	61.3371i	3.21394	+	2.33506i
$691$	8.40054	−	3.74016i	0.319571	−	0.142282i	−0.240681	−	0.970604i	$-0.577371\pi$
$691$	8.40054	−	3.74016i	0.319571	−	0.142282i	0.560252	+	0.828322i	$0.310704\pi$
$692$	−29.1824	−	6.20291i	−1.10935	−	0.235799i
$693$	−0.425712	−	4.05038i	−0.0161715	−	0.153861i
$694$	4.81942	−	5.35251i	0.182943	−	0.203178i
$695$	−12.2707	−	13.6280i	−0.465453	−	0.516938i
$696$	−0.104755	+	0.996679i	−0.00397074	+	0.0377790i
$697$	9.97891	−	30.7119i	0.377978	−	1.16330i
$698$	−15.7063	+	48.3390i	−0.594492	+	1.82966i
$699$	3.47151	−	33.0292i	0.131305	−	1.24928i
$700$	4.42707	+	4.91676i	0.167328	+	0.185836i
$701$	−27.1361	+	30.1377i	−1.02492	+	1.13829i	−0.0346089	+	0.999401i	$0.511019\pi$
$701$	−27.1361	+	30.1377i	−1.02492	+	1.13829i	−0.990308	+	0.138885i	$0.955648\pi$
$702$	−0.541230	−	5.14946i	−0.0204274	−	0.194354i
$703$	38.2418	+	8.12854i	1.44232	+	0.306574i
$704$	−8.55438	+	3.80865i	−0.322405	+	0.143544i
$705$	41.3045	+	30.0095i	1.55562	+	1.13022i
$706$	10.3976	+	4.62932i	0.391320	+	0.174227i
$707$	−5.88235	−	10.1885i	−0.221229	−	0.383179i
$708$	40.1710	−	69.5782i	1.50972	−	2.61491i
$709$	30.1651	−	21.9162i	1.13287	−	0.823080i	0.146762	−	0.989172i	$-0.453115\pi$
$709$	30.1651	−	21.9162i	1.13287	−	0.823080i	0.986110	+	0.166092i	$0.0531148\pi$
$710$	−19.2018	+	4.08148i	−0.720632	+	0.153175i
$711$	4.84889	+	14.9234i	0.181848	+	0.559670i
$712$	−6.73883			−0.252548
$713$		0			0
$714$	41.1599			1.54037
$715$	1.07394	+	3.30525i	0.0401631	+	0.123609i
$716$	36.7171	−	7.80446i	1.37218	−	0.291666i
$717$	−48.2232	+	35.0362i	−1.80093	+	1.30845i
$718$	0.416347	−	0.721134i	0.0155379	−	0.0269125i
$719$	9.28994	+	16.0906i	0.346456	+	0.600080i	0.985617	−	0.168993i	$-0.0540516\pi$
$719$	9.28994	+	16.0906i	0.346456	+	0.600080i	−0.639161	+	0.769073i	$0.720718\pi$
$720$	−3.19660	−	1.42322i	−0.119130	−	0.0530402i
$721$	−7.24272	−	5.26215i	−0.269733	−	0.195973i
$722$	5.29387	−	2.35698i	0.197017	−	0.0877178i
$723$	61.4629	+	13.0643i	2.28583	+	0.485868i
$724$	5.19237	+	49.4021i	0.192973	+	1.83601i
$725$	−0.107182	+	0.119038i	−0.00398064	+	0.00442094i
$726$	41.0734	+	45.6167i	1.52438	+	1.69299i
$727$	−1.71188	+	16.2875i	−0.0634901	+	0.604068i	0.915804	+	0.401626i	$0.131555\pi$
$727$	−1.71188	+	16.2875i	−0.0634901	+	0.604068i	−0.979294	+	0.202443i	$0.935112\pi$
$728$	−2.86881	+	8.82930i	−0.106325	+	0.327236i
$729$	−10.7004	+	32.9325i	−0.396312	+	1.21972i
$730$	1.62232	−	15.4353i	0.0600447	−	0.571287i
$731$	−0.675406	−	0.750114i	−0.0249808	−	0.0277440i
$732$	44.3507	−	49.2564i	1.63925	−	1.82057i
$733$	0.120348	+	1.14503i	0.00444514	+	0.0422927i	0.996520	−	0.0833585i	$-0.0265647\pi$
$733$	0.120348	+	1.14503i	0.00444514	+	0.0422927i	−0.992074	+	0.125651i	$0.959898\pi$
$734$	66.3292	+	14.0987i	2.44826	+	0.520393i
$735$	−25.7333	+	11.4572i	−0.949188	+	0.422606i
$736$	−29.8367	−	21.6776i	−1.09979	−	0.799047i
$737$	3.23491	+	1.44028i	0.119160	+	0.0530532i
$738$	29.4834	+	51.0668i	1.08530	+	1.87979i
$739$	10.3579	−	17.9404i	0.381022	−	0.659949i	−0.610187	−	0.792257i	$-0.708906\pi$
$739$	10.3579	−	17.9404i	0.381022	−	0.659949i	0.991209	+	0.132309i	$0.0422390\pi$
$740$	56.6474	−	41.1568i	2.08240	−	1.51295i
$741$	21.8710	−	4.64883i	0.803453	−	0.170779i
$742$	6.54990	+	20.1585i	0.240454	+	0.740042i
$743$	−35.2367			−1.29271			−0.646354	−	0.763038i	$-0.723707\pi$
$743$	−35.2367			−1.29271			−0.646354	+	0.763038i	$0.723707\pi$
$744$		0			0
$745$	15.8950			0.582348
$746$	12.6415	+	38.9065i	0.462838	+	1.42447i
$747$	−9.05173	+	1.92400i	−0.331185	+	0.0703956i
$748$	8.64170	−	6.27856i	0.315972	−	0.229567i
$749$	−1.46104	+	2.53060i	−0.0533853	+	0.0924660i
$750$	27.5429	+	47.7058i	1.00573	+	1.74197i
$751$	−39.4157	−	17.5490i	−1.43830	−	0.640372i	−0.468320	−	0.883559i	$-0.655141\pi$
$751$	−39.4157	−	17.5490i	−1.43830	−	0.640372i	−0.969980	+	0.243187i	$0.921807\pi$
$752$	2.62756	+	1.90903i	0.0958173	+	0.0696153i
$753$	53.8775	−	23.9878i	1.96341	−	0.874165i
$754$	−0.551783	−	0.117285i	−0.0200947	−	0.00427127i
$755$	−1.44284	−	13.7277i	−0.0525103	−	0.499602i
$756$	−4.21753	+	4.68404i	−0.153390	+	0.170357i
$757$	−18.2931	−	20.3165i	−0.664873	−	0.738417i	0.312505	−	0.949916i	$-0.398832\pi$
$757$	−18.2931	−	20.3165i	−0.664873	−	0.738417i	−0.977378	+	0.211500i	$0.932165\pi$
$758$	0.593459	−	5.64638i	0.0215554	−	0.205086i
$759$	4.10356	−	12.6295i	0.148950	−	0.458420i
$760$	10.9457	−	33.6875i	0.397044	−	1.22198i
$761$	−1.79705	+	17.0978i	−0.0651430	+	0.619794i	0.912435	+	0.409221i	$0.134200\pi$
$761$	−1.79705	+	17.0978i	−0.0651430	+	0.619794i	−0.977578	+	0.210573i	$0.932467\pi$
$762$	5.05297	+	5.61189i	0.183050	+	0.203297i
$763$	12.6108	−	14.0057i	0.456542	−	0.507041i
$764$	−0.785726	−	7.47569i	−0.0284266	−	0.270461i
$765$	−37.0881	−	7.88332i	−1.34092	−	0.285022i
$766$	−40.3011	+	17.9432i	−1.45614	+	0.648315i
$767$	14.5775	+	10.5912i	0.526364	+	0.382426i
$768$	43.0291	+	19.1578i	1.55268	+	0.691297i
$769$	−7.02837	−	12.1735i	−0.253450	−	0.438987i	0.711024	−	0.703168i	$-0.248232\pi$
$769$	−7.02837	−	12.1735i	−0.253450	−	0.438987i	−0.964473	+	0.264181i	$0.914899\pi$
$770$	3.38775	−	5.86776i	0.122086	−	0.211459i
$771$	31.5686	−	22.9359i	1.13691	−	0.826017i
$772$	−83.4609	+	17.7402i	−3.00382	+	0.638482i
$773$	−6.87156	−	21.1485i	−0.247153	−	0.760658i	−0.995275	−	0.0970970i	$-0.969044\pi$
$773$	−6.87156	−	21.1485i	−0.247153	−	0.760658i	0.748122	−	0.663561i	$-0.230956\pi$
$774$	1.84315			0.0662507
$775$		0			0
$776$	37.5668			1.34857
$777$	−10.6099	−	32.6539i	−0.380628	−	1.17145i
$778$	−11.8973	+	2.52885i	−0.426539	+	0.0906638i
$779$	−27.6690	+	20.1027i	−0.991343	+	0.720253i
$780$	20.0228	−	34.6804i	0.716930	−	1.24176i
$781$	1.24906	+	2.16343i	0.0446948	+	0.0774136i
$782$	65.7146	+	29.2580i	2.34995	+	1.04626i
$783$	−0.123455	−	0.0896956i	−0.00441193	−	0.00320546i
$784$	−1.63701	+	0.728844i	−0.0584646	+	0.0260301i
$785$	19.5374	+	4.15280i	0.697320	+	0.148220i
$786$	−4.91897	−	46.8009i	−0.175454	−	1.66933i
$787$	21.4348	−	23.8058i	0.764068	−	0.848584i	−0.228081	−	0.973642i	$-0.573245\pi$
$787$	21.4348	−	23.8058i	0.764068	−	0.848584i	0.992149	+	0.125058i	$0.0399118\pi$
$788$	−13.7833	−	15.3079i	−0.491008	−	0.545320i
$789$	−1.80891	+	17.2107i	−0.0643990	+	0.612716i
$790$	−8.06682	+	24.8271i	−0.287005	+	0.883310i
$791$	5.47208	−	16.8413i	0.194565	−	0.598809i
$792$	−0.812352	+	7.72901i	−0.0288657	+	0.274638i
$793$	9.94681	+	11.0471i	0.353222	+	0.392292i
$794$	26.1336	−	29.0243i	0.927447	−	1.03003i
$795$	−3.80787	−	36.2294i	−0.135051	−	1.28493i
$796$	14.8596	+	3.15850i	0.526684	+	0.111950i
$797$	23.7972	−	10.5952i	0.842940	−	0.375301i	0.0606069	−	0.998162i	$-0.480696\pi$
$797$	23.7972	−	10.5952i	0.842940	−	0.375301i	0.782333	+	0.622861i	$0.214030\pi$
$798$	−35.2668	−	25.6228i	−1.24843	−	0.907039i
$799$	32.1512	+	14.3146i	1.13743	+	0.506415i
$800$	3.21812	+	5.57395i	0.113778	+	0.197069i
$801$	3.81994	−	6.61633i	0.134971	−	0.233776i
$802$	−71.0135	+	51.5943i	−2.50757	+	1.82186i
$803$	−1.93188	+	0.410633i	−0.0681745	+	0.0144909i
$804$	−12.6087	−	38.8056i	−0.444675	−	1.36857i
$805$	28.4897			1.00413
$806$		0			0
$807$	−26.7486			−0.941594
$808$	6.93732	+	21.3509i	0.244054	+	0.751121i
$809$	8.53866	−	1.81495i	0.300203	−	0.0638101i	−0.0553475	−	0.998467i	$-0.517627\pi$
$809$	8.53866	−	1.81495i	0.300203	−	0.0638101i	0.355551	+	0.934657i	$0.384293\pi$
$810$	−34.4545	+	25.0327i	−1.21061	+	0.879559i
$811$	25.0392	−	43.3692i	0.879245	−	1.52290i	0.0270750	−	0.999633i	$-0.491381\pi$
$811$	25.0392	−	43.3692i	0.879245	−	1.52290i	0.852170	−	0.523264i	$-0.175286\pi$
$812$	0.343347	+	0.594695i	0.0120491	+	0.0208697i
$813$	3.66353	+	1.63111i	0.128486	+	0.0572054i
$814$	−11.5451	−	8.38801i	−0.404656	−	0.294000i
$815$	38.9510	−	17.3421i	1.36440	−	0.607468i
$816$	−4.40179	−	0.935629i	−0.154093	−	0.0327536i
$817$	0.111744	+	1.06317i	0.00390942	+	0.0371956i
$818$	0.769986	−	0.855156i	0.0269219	−	0.0298998i
$819$	−7.04259	−	7.82159i	−0.246088	−	0.273308i
$820$	−6.40263	+	60.9170i	−0.223590	+	2.12731i
$821$	−15.6928	+	48.2976i	−0.547684	+	1.68560i	0.166839	+	0.985984i	$0.446644\pi$
$821$	−15.6928	+	48.2976i	−0.547684	+	1.68560i	−0.714522	+	0.699613i	$0.753356\pi$
$822$	29.8745	−	91.9441i	1.04199	−	3.20692i
$823$	0.661582	−	6.29453i	0.0230613	−	0.219414i	−0.976922	−	0.213597i	$-0.931482\pi$
$823$	0.661582	−	6.29453i	0.0230613	−	0.219414i	0.999983	−	0.00581624i	$-0.00185138\pi$
$824$	11.4310	+	12.6954i	0.398217	+	0.442265i
$825$	−1.55071	+	1.72223i	−0.0539886	+	0.0599604i
$826$	−3.67201	−	34.9369i	−0.127766	−	1.21561i
$827$	−3.61665	−	0.768743i	−0.125763	−	0.0267318i	0.144600	−	0.989490i	$-0.453810\pi$
$827$	−3.61665	−	0.768743i	−0.125763	−	0.0267318i	−0.270363	+	0.962758i	$0.587144\pi$
$828$	−74.9247	+	33.3586i	−2.60381	+	1.15929i
$829$	−21.0681	−	15.3068i	−0.731724	−	0.531629i	0.158384	−	0.987378i	$-0.449372\pi$
$829$	−21.0681	−	15.3068i	−0.731724	−	0.531629i	−0.890108	+	0.455749i	$0.849372\pi$
$830$	−14.0643	−	6.26182i	−0.488178	−	0.217351i
$831$	15.3852	+	26.6479i	0.533707	+	0.924407i
$832$	−12.0995	+	20.9570i	−0.419475	+	0.726553i
$833$	−15.7091	+	11.4133i	−0.544287	+	0.395448i
$834$	42.1246	−	8.95386i	1.45866	−	0.310047i
$835$	18.8170	+	57.9127i	0.651188	+	2.00415i
$836$	−11.3130			−0.391267
$837$		0			0
$838$	31.1747			1.07691
$839$	2.31546	+	7.12626i	0.0799387	+	0.246026i	0.983037	−	0.183408i	$-0.0587130\pi$
$839$	2.31546	+	7.12626i	0.0799387	+	0.246026i	−0.903098	+	0.429434i	$0.858713\pi$
$840$	−30.4273	+	6.46752i	−1.04984	+	0.223151i
$841$	23.4480	−	17.0360i	0.808553	−	0.587448i
$842$	35.6687	−	61.7800i	1.22923	−	2.12908i
$843$	−27.2996	−	47.2843i	−0.940249	−	1.62856i
$844$	−56.5437	−	25.1749i	−1.94631	−	0.866555i
$845$	−19.0108	−	13.8122i	−0.653993	−	0.475154i
$846$	−58.7089	+	26.1389i	−2.01845	+	0.898674i
$847$	16.3922	+	3.48428i	0.563244	+	0.119721i
$848$	−0.242235	−	2.30471i	−0.00831839	−	0.0791442i
$849$	1.17195	−	1.30158i	0.0402211	−	0.0446700i
$850$	−8.40006	−	9.32922i	−0.288120	−	0.319990i
$851$	6.27222	−	59.6762i	0.215009	−	2.04567i
$852$	8.89510	−	27.3763i	0.304741	−	0.937896i
$853$	−13.4691	+	41.4536i	−0.461173	+	1.41935i	0.402559	+	0.915394i	$0.368121\pi$
$853$	−13.4691	+	41.4536i	−0.461173	+	1.41935i	−0.863732	+	0.503951i	$0.831879\pi$
$854$	3.02936	−	28.8225i	0.103663	−	0.986284i
$855$	26.8705	+	29.8427i	0.918951	+	1.02060i
$856$	3.73105	−	4.14375i	0.127525	−	0.141631i
$857$	−4.09990	−	39.0079i	−0.140050	−	1.33249i	−0.808398	−	0.588636i	$-0.799665\pi$
$857$	−4.09990	−	39.0079i	−0.140050	−	1.33249i	0.668348	−	0.743849i	$-0.267002\pi$
$858$	−7.98318	−	1.69688i	−0.272541	−	0.0579304i
$859$	−16.6277	+	7.40313i	−0.567330	+	0.252592i	−0.670297	−	0.742093i	$-0.733833\pi$
$859$	−16.6277	+	7.40313i	−0.567330	+	0.252592i	0.102967	+	0.994685i	$0.467167\pi$
$860$	1.54894	+	1.12537i	0.0528185	+	0.0383749i
$861$	27.4385	+	12.2164i	0.935103	+	0.416335i
$862$	13.9084	+	24.0900i	0.473721	+	0.820509i
$863$	−22.4738	+	38.9258i	−0.765018	+	1.32505i	0.175219	+	0.984530i	$0.443937\pi$
$863$	−22.4738	+	38.9258i	−0.765018	+	1.32505i	−0.940237	+	0.340521i	$0.889397\pi$
$864$	−4.96057	+	3.60407i	−0.168762	+	0.122613i
$865$	21.9302	−	4.66142i	0.745651	−	0.158493i
$866$	−23.0975	−	71.0868i	−0.784885	−	2.41563i
$867$	−5.53740			−0.188060
$868$		0			0
$869$	3.32196			0.112690
$870$	−0.584097	−	1.79767i	−0.0198027	−	0.0609466i
$871$	8.95110	−	1.90262i	0.303297	−	0.0644677i
$872$	−29.0950	+	21.1387i	−0.985280	+	0.715848i
$873$	−21.2949	+	36.8839i	−0.720724	+	1.24833i
$874$	−38.0922	−	65.9776i	−1.28849	−	2.23173i
$875$	13.7390	+	6.11698i	0.464462	+	0.206792i
$876$	18.4115	+	13.3767i	0.622067	+	0.451958i
$877$	−38.9637	+	17.3477i	−1.31571	+	0.585792i	−0.940072	−	0.340975i	$-0.889243\pi$
$877$	−38.9637	+	17.3477i	−1.31571	+	0.585792i	−0.375637	+	0.926767i	$0.622576\pi$
$878$	−27.9162	−	5.93377i	−0.942126	−	0.200255i
$879$	2.39524	+	22.7892i	0.0807895	+	0.768660i
$880$	−0.495682	+	0.550510i	−0.0167094	+	0.0185577i
$881$	−5.96632	−	6.62627i	−0.201010	−	0.223245i	0.634209	−	0.773162i	$-0.281326\pi$
$881$	−5.96632	−	6.62627i	−0.201010	−	0.223245i	−0.835219	+	0.549917i	$0.814659\pi$
$882$	3.70625	−	35.2626i	0.124796	−	1.18735i
$883$	14.5449	−	44.7647i	0.489475	−	1.50645i	−0.335917	−	0.941892i	$-0.609046\pi$
$883$	14.5449	−	44.7647i	0.489475	−	1.50645i	0.825393	−	0.564559i	$-0.190954\pi$
$884$	8.53029	−	26.2535i	0.286905	−	0.883002i
$885$	−6.31102	+	60.0454i	−0.212143	+	2.01840i
$886$	−7.29311	−	8.09982i	−0.245017	−	0.272119i
$887$	2.11216	−	2.34579i	0.0709193	−	0.0787638i	−0.706641	−	0.707572i	$-0.749790\pi$
$887$	2.11216	−	2.34579i	0.0709193	−	0.0787638i	0.777560	+	0.628808i	$0.216457\pi$
$888$	6.84845	+	65.1586i	0.229819	+	2.18658i
$889$	2.01662	+	0.428645i	0.0676352	+	0.0143763i
$890$	11.6112	−	5.16963i	0.389208	−	0.173286i
$891$	4.38450	+	3.18553i	0.146886	+	0.106719i
$892$	18.8763	+	8.40429i	0.632027	+	0.281396i
$893$	−18.6368	−	32.2799i	−0.623657	−	1.08021i
$894$	−18.6640	+	32.3270i	−0.624217	+	1.08118i
$895$	−22.8215	+	16.5808i	−0.762838	+	0.554234i
$896$	29.9116	−	6.35791i	0.999276	−	0.212403i
$897$	−10.6048	−	32.6381i	−0.354082	−	1.08975i
$898$	−36.8840			−1.23083
$899$		0			0
$900$	14.3131			0.477105
$901$	−7.75991	−	23.8826i	−0.258520	−	0.795643i
$902$	12.2109	−	2.59550i	0.406577	−	0.0864206i
$903$	0.759524	−	0.551827i	0.0252754	−	0.0183636i
$904$	−16.8954	+	29.2637i	−0.561932	+	0.973295i
$905$	−18.6648	−	32.3284i	−0.620439	−	1.07463i
$906$	29.6133	+	13.1847i	0.983838	+	0.438033i
$907$	−21.8137	−	15.8486i	−0.724311	−	0.526242i	0.163448	−	0.986552i	$-0.447738\pi$
$907$	−21.8137	−	15.8486i	−0.724311	−	0.526242i	−0.887759	+	0.460309i	$0.847738\pi$
$908$	−39.6294	+	17.6441i	−1.31515	+	0.585541i
$909$	−24.8952	−	5.29163i	−0.825721	−	0.175512i
$910$	−1.83027	−	17.4139i	−0.0606730	−	0.577265i
$911$	3.39786	−	3.77370i	0.112576	−	0.125028i	−0.684223	−	0.729273i	$-0.739858\pi$
$911$	3.39786	−	3.77370i	0.112576	−	0.125028i	0.796799	+	0.604245i	$0.206525\pi$
$912$	3.18911	+	3.54187i	0.105602	+	0.117283i
$913$	−0.204784	+	1.94839i	−0.00677735	+	0.0644822i
$914$	3.24997	−	10.0024i	0.107500	−	0.330849i
$915$	−15.3920	+	47.3716i	−0.508843	+	1.56606i
$916$	−5.30944	+	50.5160i	−0.175429	+	1.66909i
$917$	−8.59674	−	9.54765i	−0.283889	−	0.315291i
$918$	8.00248	−	8.88765i	0.264121	−	0.293336i
$919$	5.15085	+	49.0070i	0.169911	+	1.61659i	0.664378	+	0.747396i	$0.268696\pi$
$919$	5.15085	+	49.0070i	0.169911	+	1.61659i	−0.494468	+	0.869196i	$0.664637\pi$
$920$	−53.1766	−	11.3030i	−1.75318	−	0.372650i
$921$	72.7824	−	32.4048i	2.39826	−	1.06778i
$922$	31.7193	+	23.0454i	1.04462	+	0.758959i
$923$	5.89769	+	2.62582i	0.194125	+	0.0864300i
$924$	4.96754	+	8.60403i	0.163420	+	0.283052i
$925$	−5.23597	+	9.06896i	−0.172158	+	0.298186i
$926$	−51.2031	+	37.2012i	−1.68264	+	1.22251i
$927$	−18.9443	+	4.02673i	−0.622212	+	0.132255i
$928$	0.206430	+	0.635327i	0.00677640	+	0.0208556i
$929$	−39.9606			−1.31107			−0.655533	−	0.755167i	$-0.727556\pi$
$929$	−39.9606			−1.31107			−0.655533	+	0.755167i	$0.727556\pi$
$930$		0			0
$931$	20.5649			0.673989
$932$	13.4189	+	41.2991i	0.439551	+	1.35280i
$933$	−44.0574	+	9.36469i	−1.44237	+	0.306586i
$934$	42.7700	−	31.0742i	1.39948	−	1.01678i
$935$	−4.01360	+	6.95176i	−0.131259	+	0.227347i
$936$	10.0420	+	17.3932i	0.328232	+	0.568515i
$937$	41.1911	+	18.3395i	1.34566	+	0.599124i	0.947959	−	0.318393i	$-0.103143\pi$
$937$	41.1911	+	18.3395i	1.34566	+	0.599124i	0.397696	+	0.917517i	$0.369810\pi$
$938$	−14.4336	−	10.4866i	−0.471272	−	0.342399i
$939$	50.3341	−	22.4102i	1.64259	−	0.731329i
$940$	−65.2972	−	13.8794i	−2.12976	−	0.452695i
$941$	−5.24653	−	49.9174i	−0.171032	−	1.62726i	−0.657425	−	0.753520i	$-0.728354\pi$
$941$	−5.24653	−	49.9174i	−0.171032	−	1.62726i	0.486393	−	0.873740i	$-0.338312\pi$
$942$	−31.3868	+	34.8586i	−1.02264	+	1.13575i
$943$	35.1236	+	39.0087i	1.14378	+	1.27030i
$944$	−0.401472	+	3.81975i	−0.0130668	+	0.124322i
$945$	1.46370	−	4.50481i	0.0476142	−	0.146541i
$946$	0.120581	−	0.371109i	0.00392041	−	0.0120658i
$947$	−3.16992	+	30.1598i	−0.103009	+	0.980062i	0.813911	+	0.580990i	$0.197334\pi$
$947$	−3.16992	+	30.1598i	−0.103009	+	0.980062i	−0.916919	+	0.399072i	$0.869332\pi$
$948$	−25.6130	−	28.4462i	−0.831873	−	0.923888i
$949$	−3.41528	+	3.79305i	−0.110865	+	0.123128i
$950$	1.38976	+	13.2227i	0.0450899	+	0.429001i
$951$	2.52707	+	0.537145i	0.0819458	+	0.0174181i
$952$	−19.5892	+	8.72166i	−0.634889	+	0.282671i
$953$	28.7019	+	20.8531i	0.929745	+	0.675499i	0.945930	−	0.324370i	$-0.105152\pi$
$953$	28.7019	+	20.8531i	0.929745	+	0.675499i	−0.0161857	+	0.999869i	$0.505152\pi$
$954$	41.8901	+	18.6507i	1.35624	+	0.603838i
$955$	2.82442	+	4.89204i	0.0913961	+	0.158303i
$956$	38.9689	−	67.4962i	1.26035	−	2.18298i
$957$	−0.194596	+	0.141382i	−0.00629040	+	0.00457024i
$958$	−20.4201	+	4.34043i	−0.659744	+	0.140233i
$959$	−8.15612	−	25.1020i	−0.263375	−	0.810584i
$960$	−81.0843			−2.61698
$961$		0			0
$962$	−36.8791			−1.18903
$963$	1.95346	+	6.01213i	0.0629493	+	0.193738i
$964$	−80.3644	+	17.0820i	−2.58836	+	0.550173i
$965$	51.8751	−	37.6894i	1.66992	−	1.21327i
$966$	−33.4527	+	57.9418i	−1.07632	+	1.86425i
$967$	17.7222	+	30.6957i	0.569906	+	0.987107i	0.996575	+	0.0826987i	$0.0263539\pi$
$967$	17.7222	+	30.6957i	0.569906	+	0.987107i	−0.426668	+	0.904408i	$0.640313\pi$
$968$	−29.2141	−	13.0069i	−0.938976	−	0.418059i
$969$	41.7820	+	30.3564i	1.34223	+	0.975187i
$970$	−64.7286	+	28.8190i	−2.07831	+	0.925324i
$971$	39.2210	+	8.33668i	1.25866	+	0.267537i	0.788495	−	0.615041i	$-0.210860\pi$
$971$	39.2210	+	8.33668i	1.25866	+	0.267537i	0.470167	+	0.882578i	$0.344194\pi$
$972$	−7.76148	−	73.8455i	−0.248949	−	2.36860i
$973$	7.86730	−	8.73752i	0.252214	−	0.280112i
$974$	−36.4743	−	40.5088i	−1.16871	−	1.29798i
$975$	−0.626027	+	5.95625i	−0.0200489	+	0.190753i
$976$	−0.979151	+	3.01352i	−0.0313418	+	0.0964603i
$977$	−11.9499	+	36.7782i	−0.382313	+	1.17664i	0.556098	+	0.831117i	$0.312298\pi$
$977$	−11.9499	+	36.7782i	−0.382313	+	1.17664i	−0.938411	+	0.345521i	$0.887702\pi$
$978$	−10.4664	+	99.5811i	−0.334678	+	3.18425i
$979$	−1.08226	−	1.20197i	−0.0345891	−	0.0384151i
$980$	24.6449	−	27.3709i	0.787253	−	0.874333i
$981$	−4.26183	−	40.5486i	−0.136070	−	1.29462i
$982$	−20.8261	−	4.42672i	−0.664587	−	0.141262i
$983$	−19.7139	+	8.77721i	−0.628777	+	0.279950i	−0.696281	−	0.717769i	$-0.745163\pi$
$983$	−19.7139	+	8.77721i	−0.628777	+	0.279950i	0.0675038	+	0.997719i	$0.478497\pi$
$984$	−46.3678	−	33.6882i	−1.47815	−	1.07394i
$985$	14.1414	+	6.29617i	0.450584	+	0.200613i
$986$	−0.651478	−	1.12839i	−0.0207473	−	0.0359354i
$987$	−16.3669	+	28.3483i	−0.520965	+	0.902338i
$988$	−23.6523	+	17.1844i	−0.752480	+	0.546709i
$989$	1.60489	−	0.341130i	0.0510326	−	0.0108473i
$990$	−4.52953	−	13.9405i	−0.143958	−	0.443057i
$991$	46.8764			1.48908			0.744538	−	0.667580i	$-0.232670\pi$
$991$	46.8764			1.48908			0.744538	+	0.667580i	$0.232670\pi$
$992$		0			0
$993$	−67.8639			−2.15360
$994$	−3.88936	−	11.9702i	−0.123363	−	0.379672i
$995$	−11.1668	+	2.37358i	−0.354012	+	0.0752475i
$996$	18.2631	−	13.2689i	0.578689	−	0.420442i
$997$	−22.2695	+	38.5718i	−0.705281	+	1.22158i	0.261309	+	0.965255i	$0.415846\pi$
$997$	−22.2695	+	38.5718i	−0.705281	+	1.22158i	−0.966590	+	0.256327i	$0.917488\pi$
$998$	−32.7830	−	56.7818i	−1.03773	−	1.79740i
$999$	−9.11378	−	4.05772i	−0.288347	−	0.128381i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	961.2.g.s.844.2		16
31.2	even	5		961.2.g.k.338.1		16
31.3	odd	30		961.2.a.j.1.8		8
31.4	even	5		31.2.g.a.19.1	yes	16
31.5	even	3		961.2.g.t.547.2		16
31.6	odd	6		961.2.d.q.531.4		16
31.7	even	15		961.2.d.o.374.1		16
31.8	even	5		961.2.g.t.448.2		16
31.9	even	15	inner	961.2.g.s.846.2		16
31.10	even	15		31.2.g.a.18.1	✓	16
31.11	odd	30		961.2.g.j.816.1		16
31.12	odd	30		961.2.d.n.388.1		16
31.13	odd	30		961.2.c.i.439.8		16
31.14	even	15		961.2.d.p.628.4		16
31.15	odd	10		961.2.c.i.521.8		16
31.16	even	5		961.2.c.j.521.8		16
31.17	odd	30		961.2.d.q.628.4		16
31.18	even	15		961.2.c.j.439.8		16
31.19	even	15		961.2.d.o.388.1		16
31.20	even	15		961.2.g.k.816.1		16
31.21	odd	30		961.2.g.l.235.1		16
31.22	odd	30		961.2.g.m.846.2		16
31.23	odd	10		961.2.g.n.448.2		16
31.24	odd	30		961.2.d.n.374.1		16
31.25	even	3		961.2.d.p.531.4		16
31.26	odd	6		961.2.g.n.547.2		16
31.27	odd	10		961.2.g.l.732.1		16
31.28	even	15		961.2.a.i.1.8		8
31.29	odd	10		961.2.g.j.338.1		16
31.30	odd	2		961.2.g.m.844.2		16
93.35	odd	10		279.2.y.c.19.2		16
93.41	odd	30		279.2.y.c.235.2		16
93.59	odd	30		8649.2.a.bf.1.1		8
93.65	even	30		8649.2.a.be.1.1		8
124.35	odd	10		496.2.bg.c.81.2		16
124.103	odd	30		496.2.bg.c.49.2		16
155.4	even	10		775.2.bl.a.701.2		16
155.72	odd	60		775.2.ck.a.49.1		32
155.97	odd	20		775.2.ck.a.174.4		32
155.103	odd	60		775.2.ck.a.49.4		32
155.128	odd	20		775.2.ck.a.174.1		32
155.134	even	30		775.2.bl.a.576.2		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
31.2.g.a.18.1	✓	16	31.10	even	15
31.2.g.a.19.1	yes	16	31.4	even	5
279.2.y.c.19.2		16	93.35	odd	10
279.2.y.c.235.2		16	93.41	odd	30
496.2.bg.c.49.2		16	124.103	odd	30
496.2.bg.c.81.2		16	124.35	odd	10
775.2.bl.a.576.2		16	155.134	even	30
775.2.bl.a.701.2		16	155.4	even	10
775.2.ck.a.49.1		32	155.72	odd	60
775.2.ck.a.49.4		32	155.103	odd	60
775.2.ck.a.174.1		32	155.128	odd	20
775.2.ck.a.174.4		32	155.97	odd	20
961.2.a.i.1.8		8	31.28	even	15
961.2.a.j.1.8		8	31.3	odd	30
961.2.c.i.439.8		16	31.13	odd	30
961.2.c.i.521.8		16	31.15	odd	10
961.2.c.j.439.8		16	31.18	even	15
961.2.c.j.521.8		16	31.16	even	5
961.2.d.n.374.1		16	31.24	odd	30
961.2.d.n.388.1		16	31.12	odd	30
961.2.d.o.374.1		16	31.7	even	15
961.2.d.o.388.1		16	31.19	even	15
961.2.d.p.531.4		16	31.25	even	3
961.2.d.p.628.4		16	31.14	even	15
961.2.d.q.531.4		16	31.6	odd	6
961.2.d.q.628.4		16	31.17	odd	30
961.2.g.j.338.1		16	31.29	odd	10
961.2.g.j.816.1		16	31.11	odd	30
961.2.g.k.338.1		16	31.2	even	5
961.2.g.k.816.1		16	31.20	even	15
961.2.g.l.235.1		16	31.21	odd	30
961.2.g.l.732.1		16	31.27	odd	10
961.2.g.m.844.2		16	31.30	odd	2
961.2.g.m.846.2		16	31.22	odd	30
961.2.g.n.448.2		16	31.23	odd	10
961.2.g.n.547.2		16	31.26	odd	6
961.2.g.s.844.2		16	1.1	even	1	trivial
961.2.g.s.846.2		16	31.9	even	15	inner
961.2.g.t.448.2		16	31.8	even	5
961.2.g.t.547.2		16	31.5	even	3
8649.2.a.be.1.1		8	93.65	even	30
8649.2.a.bf.1.1		8	93.59	odd	30

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 961 = 31^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	961.g (of order \(15\), degree \(8\), not minimal)

\(f(q)\)	\(=\)	\(q+(0.713065 + 2.19459i) q^{2} +(2.48716 - 0.528662i) q^{3} +(-2.68972 + 1.95420i) q^{4} +(1.24923 - 2.16373i) q^{5} +(2.93370 + 5.08132i) q^{6} +(1.46339 + 0.651543i) q^{7} +(-2.47295 - 1.79670i) q^{8} +(3.16584 - 1.40952i) q^{9} +(5.63928 + 1.19867i) q^{10} +(-0.0766880 - 0.729638i) q^{11} +(-5.65666 + 6.28236i) q^{12} +(-1.26866 - 1.40898i) q^{13} +(-0.386377 + 3.67613i) q^{14} +(1.96315 - 6.04196i) q^{15} +(0.124885 - 0.384356i) q^{16} +(0.457755 - 4.35525i) q^{17} +(5.35078 + 5.94264i) q^{18} +(-3.10345 + 3.44673i) q^{19} +(0.868274 + 8.26107i) q^{20} +(3.98413 + 0.846852i) q^{21} +(1.54657 - 0.688578i) q^{22} +(5.75896 + 4.18413i) q^{23} +(-7.10047 - 3.16133i) q^{24} +(-0.621150 - 1.07586i) q^{25} +(2.18751 - 3.78887i) q^{26} +(0.957471 - 0.695643i) q^{27} +(-5.20935 + 1.10728i) q^{28} +(-0.0398443 - 0.122628i) q^{29} +14.6595 q^{30} -5.18091 q^{32} +(-0.576467 - 1.77418i) q^{33} +(9.88439 - 2.10099i) q^{34} +(3.23787 - 2.35245i) q^{35} +(-5.76075 + 9.97791i) q^{36} +(-4.21474 - 7.30014i) q^{37} +(-9.77710 - 4.35305i) q^{38} +(-3.90022 - 2.83368i) q^{39} +(-6.97686 + 3.10630i) q^{40} +(7.21284 + 1.53314i) q^{41} +(0.982449 + 9.34738i) q^{42} +(0.154229 - 0.171289i) q^{43} +(1.63213 + 1.81266i) q^{44} +(0.905036 - 8.61084i) q^{45} +(-5.07593 + 15.6221i) q^{46} +(-2.48342 + 7.64319i) q^{47} +(0.107414 - 1.02198i) q^{48} +(-2.96692 - 3.29509i) q^{49} +(1.91816 - 2.13033i) q^{50} +(-1.16395 - 11.0742i) q^{51} +(6.16576 + 1.31057i) q^{52} +(5.23849 - 2.33233i) q^{53} +(2.20939 + 1.60522i) q^{54} +(-1.67454 - 0.745553i) q^{55} +(-2.44826 - 4.24051i) q^{56} +(-5.89661 + 10.2132i) q^{57} +(0.240707 - 0.174884i) q^{58} +(-9.29604 + 1.97593i) q^{59} +(6.52685 + 20.0876i) q^{60} -7.84044 q^{61} +5.55122 q^{63} +(-3.94410 - 12.1387i) q^{64} +(-4.63350 + 0.984881i) q^{65} +(3.48254 - 2.53022i) q^{66} +(-2.41329 + 4.17994i) q^{67} +(7.27978 + 12.6090i) q^{68} +(16.5354 + 7.36205i) q^{69} +(7.47147 + 5.42834i) q^{70} +(-3.11064 + 1.38495i) q^{71} +(-10.3615 - 2.20240i) q^{72} +(-0.281395 - 2.67730i) q^{73} +(13.0154 - 14.4551i) q^{74} +(-2.11367 - 2.34746i) q^{75} +(1.61182 - 15.3355i) q^{76} +(0.363166 - 1.11771i) q^{77} +(3.43765 - 10.5800i) q^{78} +(-0.473299 + 4.50314i) q^{79} +(-0.675632 - 0.750365i) q^{80} +(-4.94288 + 5.48963i) q^{81} +(1.77862 + 16.9224i) q^{82} +(-2.61200 - 0.555197i) q^{83} +(-12.3711 + 5.50797i) q^{84} +(-8.85174 - 6.43117i) q^{85} +(0.485884 + 0.216329i) q^{86} +(-0.163928 - 0.283932i) q^{87} +(-1.12130 + 1.94214i) q^{88} +(1.78355 - 1.29582i) q^{89} +(19.5426 - 4.15391i) q^{90} +(-0.938522 - 2.88847i) q^{91} -23.6666 q^{92} -18.5445 q^{94} +(3.58086 + 11.0208i) q^{95} +(-12.8858 + 2.73895i) q^{96} +(-9.94271 + 7.22380i) q^{97} +(5.11577 - 8.86077i) q^{98} +(-1.27122 - 2.20182i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 4 q^{2} + 3 q^{3} + 6 q^{4} - 3 q^{5} + 11 q^{6} - 3 q^{7} - 8 q^{8} + 5 q^{9} + 18 q^{10} - 2 q^{11} - 20 q^{12} - 27 q^{13} - 6 q^{14} + 4 q^{15} - 2 q^{16} - 16 q^{17} + 22 q^{18} - 4 q^{19} - 18 q^{20}+ \cdots + 6 q^{99}+O(q^{100}) \) 16 * q + 4 * q^2 + 3 * q^3 + 6 * q^4 - 3 * q^5 + 11 * q^6 - 3 * q^7 - 8 * q^8 + 5 * q^9 + 18 * q^10 - 2 * q^11 - 20 * q^12 - 27 * q^13 - 6 * q^14 + 4 * q^15 - 2 * q^16 - 16 * q^17 + 22 * q^18 - 4 * q^19 - 18 * q^20 + 29 * q^21 + 4 * q^22 + 21 * q^23 - 25 * q^24 - 13 * q^25 + 9 * q^26 + 9 * q^27 - 40 * q^28 + 26 * q^29 - 22 * q^30 - 42 * q^32 + 7 * q^33 + 28 * q^34 + 21 * q^35 + q^36 - 8 * q^37 - 27 * q^38 + 2 * q^39 - 16 * q^40 - 3 * q^41 - 51 * q^42 + 8 * q^43 + 4 * q^44 + 25 * q^45 - 16 * q^46 + 4 * q^47 - 86 * q^48 + 27 * q^49 - 27 * q^50 + 13 * q^51 + 24 * q^52 + 66 * q^53 + 39 * q^54 - 52 * q^55 - 30 * q^56 - 17 * q^57 + 10 * q^58 - 51 * q^59 + 35 * q^60 - 60 * q^61 - 46 * q^63 - 32 * q^64 + 18 * q^65 + 20 * q^66 + 13 * q^67 + 30 * q^68 + 48 * q^69 + 27 * q^70 - 24 * q^71 + 2 * q^72 + 27 * q^73 + 28 * q^74 - 32 * q^75 + 18 * q^76 - 42 * q^77 + 15 * q^78 + 8 * q^79 - 39 * q^80 - 7 * q^81 + 29 * q^82 + 4 * q^83 - 27 * q^84 - 63 * q^85 + 34 * q^86 + 15 * q^87 - 17 * q^88 + 26 * q^89 + 57 * q^90 + 8 * q^91 - 64 * q^92 + 44 * q^94 + 28 * q^95 - 62 * q^96 - 37 * q^97 - 10 * q^98 + 6 * q^99

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