LMFDB - Embedded newform 300.2.w.a.67.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(67,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 0, 13]))

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

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

chi := DirichletCharacter("300.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.w (of order $20$, degree $8$, 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:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			67.11
Character	$\chi$	$=$	300.67
Dual form			300.2.w.a.103.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.664619 - 1.24831i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-1.11656 + 1.65930i) q^{4} +(-1.95630 - 1.08300i) q^{5} +(0.461157 + 1.33691i) q^{6} +(-2.24842 + 2.24842i) q^{7} +(2.81342 + 0.291015i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})$	\(q+(-0.664619 - 1.24831i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-1.11656 + 1.65930i) q^{4} +(-1.95630 - 1.08300i) q^{5} +(0.461157 + 1.33691i) q^{6} +(-2.24842 + 2.24842i) q^{7} +(2.81342 + 0.291015i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-0.0517207 + 3.16185i) q^{10} +(5.18278 - 1.68399i) q^{11} +(1.36239 - 1.46421i) q^{12} +(0.704711 + 1.38307i) q^{13} +(4.30108 + 1.31239i) q^{14} +(1.76280 + 1.37570i) q^{15} +(-1.50657 - 3.70543i) q^{16} +(1.01255 + 6.39301i) q^{17} +(-0.246341 - 1.39259i) q^{18} +(1.67389 + 1.21615i) q^{19} +(3.98135 - 2.03686i) q^{20} +(2.57247 - 1.86901i) q^{21} +(-5.54671 - 5.35051i) q^{22} +(-0.0339545 + 0.0666396i) q^{23} +(-2.73325 - 0.727547i) q^{24} +(2.65424 + 4.23734i) q^{25} +(1.25814 - 1.79892i) q^{26} +(-0.891007 - 0.453990i) q^{27} +(-1.22031 - 6.24133i) q^{28} +(0.915875 + 1.26059i) q^{29} +(0.545707 - 3.11484i) q^{30} +(-0.382042 + 0.525836i) q^{31} +(-3.62424 + 4.34337i) q^{32} +(-5.38240 + 0.852489i) q^{33} +(7.30750 - 5.51289i) q^{34} +(6.83363 - 1.96356i) q^{35} +(-1.57467 + 1.23305i) q^{36} +(-6.97057 + 3.55168i) q^{37} +(0.405637 - 2.89781i) q^{38} +(-0.479675 - 1.47629i) q^{39} +(-5.18873 - 3.61623i) q^{40} +(-0.243815 + 0.750387i) q^{41} +(-4.04282 - 1.96907i) q^{42} +(8.59891 + 8.59891i) q^{43} +(-2.99265 + 10.4801i) q^{44} +(-1.52589 - 1.63452i) q^{45} +(0.105754 - 0.00190406i) q^{46} +(0.848551 - 5.35754i) q^{47} +(0.908367 + 3.89549i) q^{48} -3.11082i q^{49} +(3.52546 - 6.12953i) q^{50} -6.47270i q^{51} +(-3.08179 - 0.374960i) q^{52} +(1.48302 - 9.36344i) q^{53} +(0.0254582 + 1.41398i) q^{54} +(-11.9628 - 2.31854i) q^{55} +(-6.98008 + 5.67143i) q^{56} +(-1.46303 - 1.46303i) q^{57} +(0.964906 - 1.98111i) q^{58} +(-2.30263 + 7.08677i) q^{59} +(-4.25097 + 1.38897i) q^{60} +(2.12100 + 6.52776i) q^{61} +(0.910320 + 0.127427i) q^{62} +(-2.83318 + 1.44358i) q^{63} +(7.83062 + 1.63749i) q^{64} +(0.119235 - 3.46891i) q^{65} +(4.64142 + 6.15233i) q^{66} +(-1.91967 + 0.304046i) q^{67} +(-11.7385 - 5.45806i) q^{68} +(0.0439612 - 0.0605074i) q^{69} +(-6.99290 - 7.22548i) q^{70} +(1.60163 + 2.20445i) q^{71} +(2.58579 + 1.14616i) q^{72} +(-2.35633 - 1.20061i) q^{73} +(9.06638 + 6.34092i) q^{74} +(-1.95870 - 4.60038i) q^{75} +(-3.88696 + 1.41958i) q^{76} +(-7.86676 + 15.4394i) q^{77} +(-1.52406 + 1.57995i) q^{78} +(-7.91533 + 5.75082i) q^{79} +(-1.06566 + 8.88056i) q^{80} +(0.809017 + 0.587785i) q^{81} +(1.09876 - 0.194364i) q^{82} +(0.895475 + 5.65381i) q^{83} +(0.228927 + 6.35538i) q^{84} +(4.94274 - 13.6032i) q^{85} +(5.01912 - 16.4491i) q^{86} +(-0.707399 - 1.38835i) q^{87} +(15.0714 - 3.22949i) q^{88} +(-17.4987 + 5.68568i) q^{89} +(-1.02626 + 2.99112i) q^{90} +(-4.69423 - 1.52525i) q^{91} +(-0.0726628 - 0.130748i) q^{92} +(0.459598 - 0.459598i) q^{93} +(-7.25185 + 2.50147i) q^{94} +(-1.95754 - 4.19197i) q^{95} +(4.25907 - 3.72294i) q^{96} +(2.17132 + 0.343903i) q^{97} +(-3.88328 + 2.06751i) q^{98} +5.44949 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q + 12 q^{8}+O(q^{10}) $ 240 * q + 12 * q^8	$ 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) $ 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$1$	$-1$	$e\left(\frac{13}{20}\right)$

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 $

$2$	−0.664619	−	1.24831i	−0.469957	−	0.882690i
$2$	−0.664619	−	1.24831i	−0.469957	−	0.882690i
$3$	−0.987688	−	0.156434i	−0.570242	−	0.0903175i
$3$	−0.987688	−	0.156434i	−0.570242	−	0.0903175i
$4$	−1.11656	+	1.65930i	−0.558282	+	0.829651i
$5$	−1.95630	−	1.08300i	−0.874885	−	0.484331i
$5$	−1.95630	−	1.08300i	−0.874885	−	0.484331i
$6$	0.461157	+	1.33691i	0.188267	+	0.545792i
$7$	−2.24842	+	2.24842i	−0.849824	+	0.849824i	−0.990111	−	0.140286i	$-0.955198\pi$
$7$	−2.24842	+	2.24842i	−0.849824	+	0.849824i	0.140286	+	0.990111i	$0.455198\pi$
$8$	2.81342	+	0.291015i	0.994693	+	0.102889i
$9$	0.951057	+	0.309017i	0.317019	+	0.103006i
$10$	−0.0517207	+	3.16185i	−0.0163555	+	0.999866i
$11$	5.18278	−	1.68399i	1.56267	−	0.507741i	0.605147	−	0.796113i	$-0.293114\pi$
$11$	5.18278	−	1.68399i	1.56267	−	0.507741i	0.957518	+	0.288372i	$0.0931141\pi$
$12$	1.36239	−	1.46421i	0.393288	−	0.422680i
$13$	0.704711	+	1.38307i	0.195452	+	0.383596i	0.967844	−	0.251550i	$-0.0809402\pi$
$13$	0.704711	+	1.38307i	0.195452	+	0.383596i	−0.772393	+	0.635145i	$0.780940\pi$
$14$	4.30108	+	1.31239i	1.14951	+	0.350751i
$15$	1.76280	+	1.37570i	0.455153	+	0.355203i
$16$	−1.50657	−	3.70543i	−0.376643	−	0.926358i
$17$	1.01255	+	6.39301i	0.245580	+	1.55053i	0.734747	+	0.678341i	$0.237301\pi$
$17$	1.01255	+	6.39301i	0.245580	+	1.55053i	−0.489167	+	0.872190i	$0.662699\pi$
$18$	−0.246341	−	1.39259i	−0.0580631	−	0.328237i
$19$	1.67389	+	1.21615i	0.384016	+	0.279004i	0.762999	−	0.646400i	$-0.223726\pi$
$19$	1.67389	+	1.21615i	0.384016	+	0.279004i	−0.378983	+	0.925404i	$0.623726\pi$
$20$	3.98135	−	2.03686i	0.890258	−	0.455457i
$21$	2.57247	−	1.86901i	0.561360	−	0.407852i
$22$	−5.54671	−	5.35051i	−1.18256	−	1.14073i
$23$	−0.0339545	+	0.0666396i	−0.00708001	+	0.0138953i	−0.894519	−	0.447029i	$-0.852482\pi$
$23$	−0.0339545	+	0.0666396i	−0.00708001	+	0.0138953i	0.887439	+	0.460924i	$0.152482\pi$
$24$	−2.73325	−	0.727547i	−0.557923	−	0.148510i
$25$	2.65424	+	4.23734i	0.530848	+	0.847467i
$26$	1.25814	−	1.79892i	0.246742	−	0.352796i
$27$	−0.891007	−	0.453990i	−0.171474	−	0.0873705i
$28$	−1.22031	−	6.24133i	−0.230617	−	1.17950i
$29$	0.915875	+	1.26059i	0.170074	+	0.234086i	0.885543	−	0.464558i	$-0.153787\pi$
$29$	0.915875	+	1.26059i	0.170074	+	0.234086i	−0.715469	+	0.698645i	$0.753787\pi$
$30$	0.545707	−	3.11484i	0.0996320	−	0.568689i
$31$	−0.382042	+	0.525836i	−0.0686169	+	0.0944430i	−0.841946	−	0.539562i	$-0.818590\pi$
$31$	−0.382042	+	0.525836i	−0.0686169	+	0.0944430i	0.773329	+	0.634005i	$0.218590\pi$
$32$	−3.62424	+	4.34337i	−0.640681	+	0.767807i
$33$	−5.38240	+	0.852489i	−0.936956	+	0.148399i
$34$	7.30750	−	5.51289i	1.25323	−	0.945453i
$35$	6.83363	−	1.96356i	1.15509	−	0.331903i
$36$	−1.57467	+	1.23305i	−0.262445	+	0.205509i
$37$	−6.97057	+	3.55168i	−1.14595	+	0.583893i	−0.920647	−	0.390395i	$-0.872338\pi$
$37$	−6.97057	+	3.55168i	−1.14595	+	0.583893i	−0.225307	+	0.974288i	$0.572338\pi$
$38$	0.405637	−	2.89781i	0.0658030	−	0.470086i
$39$	−0.479675	−	1.47629i	−0.0768094	−	0.236395i
$40$	−5.18873	−	3.61623i	−0.820410	−	0.571776i
$41$	−0.243815	+	0.750387i	−0.0380776	+	0.117191i	−0.968289	−	0.249835i	$-0.919624\pi$
$41$	−0.243815	+	0.750387i	−0.0380776	+	0.117191i	0.930211	+	0.367025i	$0.119624\pi$
$42$	−4.04282	−	1.96907i	−0.623821	−	0.303834i
$43$	8.59891	+	8.59891i	1.31132	+	1.31132i	0.920442	+	0.390880i	$0.127829\pi$
$43$	8.59891	+	8.59891i	1.31132	+	1.31132i	0.390880	+	0.920442i	$0.372171\pi$
$44$	−2.99265	+	10.4801i	−0.451160	+	1.57993i
$45$	−1.52589	−	1.63452i	−0.227466	−	0.243660i
$46$	0.105754	−	0.00190406i	0.0155925	−	0.000280738i
$47$	0.848551	−	5.35754i	0.123774	−	0.781478i	−0.845225	−	0.534411i	$-0.820533\pi$
$47$	0.848551	−	5.35754i	0.123774	−	0.781478i	0.968998	−	0.247067i	$-0.0794667\pi$
$48$	0.908367	+	3.89549i	0.131111	+	0.562266i
$49$		−	3.11082i		−	0.444403i
$50$	3.52546	−	6.12953i	0.498575	−	0.866847i
$51$		−	6.47270i		−	0.906359i
$52$	−3.08179	−	0.374960i	−0.427368	−	0.0519976i
$53$	1.48302	−	9.36344i	0.203709	−	1.28617i	−0.647793	−	0.761816i	$-0.724308\pi$
$53$	1.48302	−	9.36344i	0.203709	−	1.28617i	0.851502	−	0.524351i	$-0.175692\pi$
$54$	0.0254582	+	1.41398i	0.00346443	+	0.192419i
$55$	−11.9628	−	2.31854i	−1.61307	−	0.312632i
$56$	−6.98008	+	5.67143i	−0.932752	+	0.757877i
$57$	−1.46303	−	1.46303i	−0.193783	−	0.193783i
$58$	0.964906	−	1.98111i	0.126698	−	0.260133i
$59$	−2.30263	+	7.08677i	−0.299777	+	0.922619i	0.681798	+	0.731541i	$0.261198\pi$
$59$	−2.30263	+	7.08677i	−0.299777	+	0.922619i	−0.981575	+	0.191078i	$0.938802\pi$
$60$	−4.25097	+	1.38897i	−0.548798	+	0.179315i
$61$	2.12100	+	6.52776i	0.271566	+	0.835794i	0.990108	+	0.140310i	$0.0448099\pi$
$61$	2.12100	+	6.52776i	0.271566	+	0.835794i	−0.718542	+	0.695484i	$0.755190\pi$
$62$	0.910320	+	0.127427i	0.115611	+	0.0161833i
$63$	−2.83318	+	1.44358i	−0.356947	+	0.181874i
$64$	7.83062	+	1.63749i	0.978828	+	0.204686i
$65$	0.119235	−	3.46891i	0.0147893	−	0.430265i
$66$	4.64142	+	6.15233i	0.571319	+	0.757300i
$67$	−1.91967	+	0.304046i	−0.234525	+	0.0371451i	−0.272590	−	0.962130i	$-0.587880\pi$
$67$	−1.91967	+	0.304046i	−0.234525	+	0.0371451i	0.0380656	+	0.999275i	$0.487880\pi$
$68$	−11.7385	−	5.45806i	−1.42350	−	0.661887i
$69$	0.0439612	−	0.0605074i	0.00529231	−	0.00728424i
$70$	−6.99290	−	7.22548i	−0.835811	−	0.863610i
$71$	1.60163	+	2.20445i	0.190079	+	0.261621i	0.893411	−	0.449241i	$-0.148305\pi$
$71$	1.60163	+	2.20445i	0.190079	+	0.261621i	−0.703332	+	0.710861i	$0.748305\pi$
$72$	2.58579	+	1.14616i	0.304738	+	0.135077i
$73$	−2.35633	−	1.20061i	−0.275788	−	0.140521i	0.310627	−	0.950532i	$-0.399461\pi$
$73$	−2.35633	−	1.20061i	−0.275788	−	0.140521i	−0.586415	+	0.810011i	$0.699461\pi$
$74$	9.06638	+	6.34092i	1.05394	+	0.737117i
$75$	−1.95870	−	4.60038i	−0.226171	−	0.531206i
$76$	−3.88696	+	1.41958i	−0.445865	+	0.162837i
$77$	−7.86676	+	15.4394i	−0.896501	+	1.75948i
$78$	−1.52406	+	1.57995i	−0.172566	+	0.178894i
$79$	−7.91533	+	5.75082i	−0.890544	+	0.647018i	−0.936020	−	0.351947i	$-0.885520\pi$
$79$	−7.91533	+	5.75082i	−0.890544	+	0.647018i	0.0454758	+	0.998965i	$0.485520\pi$
$80$	−1.06566	+	8.88056i	−0.119144	+	0.992877i
$81$	0.809017	+	0.587785i	0.0898908	+	0.0653095i
$82$	1.09876	−	0.194364i	0.121338	−	0.0214639i
$83$	0.895475	+	5.65381i	0.0982912	+	0.620586i	0.986827	+	0.161779i	$0.0517231\pi$
$83$	0.895475	+	5.65381i	0.0982912	+	0.620586i	−0.888536	+	0.458807i	$0.848277\pi$
$84$	0.228927	+	6.35538i	0.0249779	+	0.693429i
$85$	4.94274	−	13.6032i	0.536115	−	1.47548i
$86$	5.01912	−	16.4491i	0.541226	−	1.77375i
$87$	−0.707399	−	1.38835i	−0.0758411	−	0.148847i
$88$	15.0714	−	3.22949i	1.60661	−	0.344265i
$89$	−17.4987	+	5.68568i	−1.85486	+	0.602680i	−0.858978	+	0.512012i	$0.828900\pi$
$89$	−17.4987	+	5.68568i	−1.85486	+	0.602680i	−0.995881	+	0.0906684i	$0.971100\pi$
$90$	−1.02626	+	2.99112i	−0.108177	+	0.315292i
$91$	−4.69423	−	1.52525i	−0.492089	−	0.159889i
$92$	−0.0726628	−	0.130748i	−0.00757562	−	0.0136314i
$93$	0.459598	−	0.459598i	0.0476581	−	0.0476581i
$94$	−7.25185	+	2.50147i	−0.747971	+	0.258007i
$95$	−1.95754	−	4.19197i	−0.200840	−	0.430087i
$96$	4.25907	−	3.72294i	0.434690	−	0.379971i
$97$	2.17132	+	0.343903i	0.220464	+	0.0349181i	0.265689	−	0.964059i	$-0.414401\pi$
$97$	2.17132	+	0.343903i	0.220464	+	0.0349181i	−0.0452251	+	0.998977i	$0.514401\pi$
$98$	−3.88328	+	2.06751i	−0.392270	+	0.208850i
$99$	5.44949			0.547695
$100$	−9.99465	−	0.327067i	−0.999465	−	0.0327067i
$101$	15.7433			1.56652			0.783259	−	0.621696i	$-0.213556\pi$
$101$	15.7433			1.56652			0.783259	+	0.621696i	$0.213556\pi$
$102$	−8.07994	+	4.30188i	−0.800033	+	0.425949i
$103$	−7.13122	−	1.12947i	−0.702660	−	0.111290i	−0.205127	−	0.978735i	$-0.565761\pi$
$103$	−7.13122	−	1.12947i	−0.702660	−	0.111290i	−0.497533	+	0.867445i	$0.665761\pi$
$104$	1.58015	+	4.09624i	0.154947	+	0.401670i
$105$	−7.05667	+	0.870373i	−0.688660	+	0.0849397i
$106$	−12.6741	+	4.37185i	−1.23102	+	0.424631i
$107$	13.4991	−	13.4991i	1.30500	−	1.30500i	0.380028	−	0.924975i	$-0.375914\pi$
$107$	13.4991	−	13.4991i	1.30500	−	1.30500i	0.924975	−	0.380028i	$-0.124086\pi$
$108$	1.74817	−	0.971541i	0.168218	−	0.0934865i
$109$	15.4062	+	5.00578i	1.47565	+	0.479467i	0.932809	−	0.360371i	$-0.117350\pi$
$109$	15.4062	+	5.00578i	1.47565	+	0.479467i	0.542837	+	0.839838i	$0.317350\pi$
$110$	5.05646	+	16.4743i	0.482115	+	1.57076i
$111$	7.44035	−	2.41752i	0.706207	−	0.229461i
$112$	11.7188	+	4.94397i	1.10732	+	0.467161i
$113$	−6.37504	−	12.5117i	−0.599713	−	1.17700i	−0.968855	−	0.247630i	$-0.920348\pi$
$113$	−6.37504	−	12.5117i	−0.599713	−	1.17700i	0.369142	−	0.929373i	$-0.379652\pi$
$114$	−0.853960	+	2.79867i	−0.0799806	+	0.262120i
$115$	0.138596	−	0.0935945i	0.0129241	−	0.00872773i
$116$	−3.11434	+	0.112181i	−0.289159	+	0.0104158i
$117$	0.242827	+	1.53315i	0.0224494	+	0.141740i
$118$	10.3769	−	1.83560i	0.955268	−	0.168981i
$119$	−16.6508	−	12.0975i	−1.52638	−	1.10898i
$120$	4.55914	+	4.38340i	0.416191	+	0.400148i
$121$	15.1262	−	10.9898i	1.37511	−	0.999073i
$122$	6.73902	−	6.98614i	0.610122	−	0.632495i
$123$	0.358200	−	0.703007i	0.0322978	−	0.0633880i
$124$	−0.445947	−	1.22105i	−0.0400472	−	0.109654i
$125$	−0.603477	−	11.1640i	−0.0539766	−	0.998542i
$126$	3.68502	+	2.57726i	0.328288	+	0.229601i
$127$	12.9842	+	6.61579i	1.15216	+	0.587056i	0.922417	−	0.386195i	$-0.126211\pi$
$127$	12.9842	+	6.61579i	1.15216	+	0.587056i	0.229745	+	0.973251i	$0.426211\pi$
$128$	−3.16028	−	10.8634i	−0.279332	−	0.960195i
$129$	−7.14788	−	9.83821i	−0.629336	−	0.866206i
$130$	−4.40953	+	2.15666i	−0.386741	+	0.189152i
$131$	−3.79810	+	5.22764i	−0.331842	+	0.456741i	−0.942037	−	0.335510i	$-0.891091\pi$
$131$	−3.79810	+	5.22764i	−0.331842	+	0.456741i	0.610195	+	0.792252i	$0.291091\pi$
$132$	4.59525	−	9.88289i	0.399966	−	0.860195i
$133$	−6.49802	+	1.02919i	−0.563450	+	0.0892417i
$134$	1.65539	+	2.19427i	0.143004	+	0.189556i
$135$	1.25141	+	1.85310i	0.107704	+	0.159489i
$136$	0.988274	+	18.2809i	0.0847438	+	1.56757i
$137$	10.0828	−	5.13743i	0.861429	−	0.438920i	0.0332921	−	0.999446i	$-0.489401\pi$
$137$	10.0828	−	5.13743i	0.861429	−	0.438920i	0.828137	+	0.560526i	$0.189401\pi$
$138$	−0.104750	−	0.0146629i	−0.00891688	−	0.00124819i
$139$	−4.69272	−	14.4427i	−0.398032	−	1.22502i	−0.926575	−	0.376109i	$-0.877262\pi$
$139$	−4.69272	−	14.4427i	−0.398032	−	1.22502i	0.528544	−	0.848906i	$-0.322738\pi$
$140$	−4.37204	+	13.5315i	−0.369505	+	1.14362i
$141$	−1.67621	+	5.15884i	−0.141162	+	0.434453i
$142$	1.68737	−	3.46446i	0.141601	−	0.290731i
$143$	5.98144	+	5.98144i	0.500193	+	0.500193i
$144$	−0.287794	−	3.98963i	−0.0239828	−	0.332469i
$145$	−0.426510	−	3.45799i	−0.0354198	−	0.287171i
$146$	0.0673263	+	3.73939i	0.00557196	+	0.309474i
$147$	−0.486640	+	3.07252i	−0.0401374	+	0.253417i
$148$	1.88976	−	15.5320i	0.155338	−	1.27672i
$149$		−	15.7548i		−	1.29069i	−0.763893	−	0.645344i	$-0.776714\pi$
$149$		−	15.7548i		−	1.29069i	0.763893	−	0.645344i	$-0.223286\pi$
$150$	−4.44092	+	5.50256i	−0.362600	+	0.449282i
$151$			3.99629i			0.325214i	0.986691	+	0.162607i	$0.0519902\pi$
$151$			3.99629i			0.325214i	−0.986691	+	0.162607i	$0.948010\pi$
$152$	4.35542	+	3.90866i	0.353271	+	0.317034i
$153$	−1.01255	+	6.39301i	−0.0818600	+	0.516844i
$154$	24.5016	−	0.441141i	1.97439	−	0.0355482i
$155$	1.31687	−	0.614945i	0.105773	−	0.0493935i
$156$	2.98519	+	0.852442i	0.239007	+	0.0682500i
$157$	8.02968	+	8.02968i	0.640838	+	0.640838i	0.950762	−	0.309923i	$-0.100303\pi$
$157$	8.02968	+	8.02968i	0.640838	+	0.640838i	−0.309923	+	0.950762i	$0.600303\pi$
$158$	12.4395	+	6.05869i	0.989633	+	0.482003i
$159$	−2.92953	+	9.01617i	−0.232327	+	0.715029i
$160$	11.7940	−	4.57192i	0.932395	−	0.361442i
$161$	−0.0734898	−	0.226178i	−0.00579180	−	0.0178253i
$162$	0.196051	−	1.40056i	0.0154032	−	0.110038i
$163$	6.57414	−	3.34969i	0.514926	−	0.262368i	−0.177161	−	0.984182i	$-0.556691\pi$
$163$	6.57414	−	3.34969i	0.514926	−	0.262368i	0.692087	+	0.721814i	$0.256691\pi$
$164$	−0.972883	−	1.24242i	−0.0759694	−	0.0970165i
$165$	11.4528	+	4.16139i	0.891603	+	0.323964i
$166$	6.46256	−	4.87546i	0.501592	−	0.378409i
$167$	−17.5556	+	2.78053i	−1.35849	+	0.215164i	−0.792815	−	0.609463i	$-0.791385\pi$
$167$	−17.5556	+	2.78053i	−1.35849	+	0.215164i	−0.565677	+	0.824627i	$0.691385\pi$
$168$	7.78135	−	4.50968i	0.600344	−	0.347929i
$169$	6.22493	−	8.56789i	0.478841	−	0.659068i
$170$	−20.2661	+	2.87089i	−1.55434	+	0.220187i
$171$	1.21615	+	1.67389i	0.0930012	+	0.128005i
$172$	−23.8694	+	4.66697i	−1.82003	+	0.355853i
$173$	4.82016	+	2.45599i	0.366470	+	0.186726i	0.627522	−	0.778599i	$-0.284069\pi$
$173$	4.82016	+	2.45599i	0.366470	+	0.186726i	−0.261052	+	0.965325i	$0.584069\pi$
$174$	−1.26294	+	1.80578i	−0.0957433	+	0.136896i
$175$	−15.4952	−	3.55947i	−1.17133	−	0.269071i
$176$	−14.0481	−	16.6674i	−1.05892	−	1.25635i
$177$	3.38290	−	6.63931i	0.254274	−	0.499041i
$178$	18.7275	+	18.0650i	1.40368	+	1.35403i
$179$	−11.9881	+	8.70985i	−0.896031	+	0.651005i	−0.937444	−	0.348137i	$-0.886814\pi$
$179$	−11.9881	+	8.70985i	−0.896031	+	0.651005i	0.0414122	+	0.999142i	$0.486814\pi$
$180$	4.41592	−	0.706868i	0.329143	−	0.0526868i
$181$	1.42850	+	1.03787i	0.106179	+	0.0771439i	0.639608	−	0.768701i	$-0.279097\pi$
$181$	1.42850	+	1.03787i	0.106179	+	0.0771439i	−0.533429	+	0.845845i	$0.679097\pi$
$182$	1.21589	+	6.87356i	0.0901277	+	0.509502i
$183$	−1.07372	−	6.77919i	−0.0793715	−	0.501132i
$184$	−0.114921	+	0.177604i	−0.00847211	+	0.0130931i
$185$	17.4830	+	0.600933i	1.28538	+	0.0441815i
$186$	−0.879179	−	0.268264i	−0.0644645	−	0.0196701i
$187$	16.0136	+	31.4284i	1.17103	+	2.29827i
$188$	7.94233	+	7.39004i	0.579254	+	0.538974i
$189$	3.02412	−	0.982597i	0.219973	−	0.0714734i
$190$	−3.93186	+	5.22968i	−0.285247	+	0.379401i
$191$	−8.50756	−	2.76427i	−0.615585	−	0.200016i	−0.0154061	−	0.999881i	$-0.504904\pi$
$191$	−8.50756	−	2.76427i	−0.615585	−	0.200016i	−0.600179	+	0.799866i	$0.704904\pi$
$192$	−7.47805	−	2.84231i	−0.539682	−	0.205126i
$193$	−17.6293	+	17.6293i	−1.26898	+	1.26898i	−0.322368	+	0.946614i	$0.604479\pi$
$193$	−17.6293	+	17.6293i	−1.26898	+	1.26898i	−0.946614	+	0.322368i	$0.895521\pi$
$194$	−1.01380	−	2.93905i	−0.0727867	−	0.211011i
$195$	−0.660424	+	3.40755i	−0.0472939	+	0.244020i
$196$	5.16180	+	3.47343i	0.368700	+	0.248102i
$197$	−21.9319	−	3.47367i	−1.56258	−	0.247489i	−0.685587	−	0.727990i	$-0.740455\pi$
$197$	−21.9319	−	3.47367i	−1.56258	−	0.247489i	−0.876994	+	0.480502i	$0.840455\pi$
$198$	−3.62184	−	6.80267i	−0.257393	−	0.483444i
$199$	13.2784			0.941282			0.470641	−	0.882325i	$-0.344023\pi$
$199$	13.2784			0.941282			0.470641	+	0.882325i	$0.344023\pi$
$200$	6.23435	+	12.6938i	0.440835	+	0.897588i
$201$	1.94360			0.137091
$202$	−10.4633	−	19.6525i	−0.736195	−	1.38275i
$203$	−4.89363	−	0.775074i	−0.343465	−	0.0543995i
$204$	10.7402	+	7.22717i	0.751962	+	0.506003i
$205$	1.28964	−	1.20393i	0.0900725	−	0.0840863i
$206$	3.32961	+	9.65266i	0.231985	+	0.672532i
$207$	−0.0528854	+	0.0528854i	−0.00367579	+	0.00367579i
$208$	4.06319	−	4.69496i	0.281731	−	0.325537i
$209$	10.7234	+	3.48423i	0.741750	+	0.241009i
$210$	5.77649	+	8.23045i	0.398616	+	0.567955i
$211$	−3.06542	+	0.996017i	−0.211032	+	0.0685686i	−0.412625	−	0.910901i	$-0.635388\pi$
$211$	−3.06542	+	0.996017i	−0.211032	+	0.0685686i	0.201593	+	0.979469i	$0.435388\pi$
$212$	13.8809	+	12.9157i	0.953344	+	0.887051i
$213$	−1.23706	−	2.42786i	−0.0847619	−	0.166355i
$214$	−25.8228	−	7.87930i	−1.76521	−	0.538618i
$215$	−7.50948	−	26.1347i	−0.512143	−	1.78237i
$216$	−2.37465	−	1.53656i	−0.161575	−	0.104550i
$217$	−0.323310	−	2.04130i	−0.0219477	−	0.138572i
$218$	−3.99048	−	22.5587i	−0.270270	−	1.52787i
$219$	2.13951	+	1.55444i	0.144574	+	0.105039i
$220$	17.2044	−	17.2612i	1.15992	−	1.16375i
$221$	−8.12844	+	5.90566i	−0.546778	+	0.397258i
$222$	−7.96281	−	7.68115i	−0.534429	−	0.515525i
$223$	4.43449	−	8.70318i	0.296955	−	0.582808i	−0.693530	−	0.720428i	$-0.743945\pi$
$223$	4.43449	−	8.70318i	0.296955	−	0.582808i	0.990485	+	0.137620i	$0.0439453\pi$
$224$	−1.61692	−	17.9146i	−0.108035	−	1.19697i
$225$	1.21492	+	4.85015i	0.0809948	+	0.323343i
$226$	−11.3815	+	16.2736i	−0.757089	+	1.08250i
$227$	−0.635189	−	0.323645i	−0.0421590	−	0.0214811i	0.432784	−	0.901498i	$-0.357531\pi$
$227$	−0.635189	−	0.323645i	−0.0421590	−	0.0214811i	−0.474943	+	0.880017i	$0.657531\pi$
$228$	4.06117	−	0.794044i	0.268958	−	0.0525869i
$229$	−13.0845	−	18.0093i	−0.864648	−	1.19009i	−0.980441	−	0.196812i	$-0.936941\pi$
$229$	−13.0845	−	18.0093i	−0.864648	−	1.19009i	0.115793	−	0.993273i	$-0.463059\pi$
$230$	−0.208948	−	0.110806i	−0.0137777	−	0.00730633i
$231$	10.1852	−	14.0187i	0.670135	−	0.922361i
$232$	2.20989	+	3.81311i	0.145086	+	0.250343i
$233$	3.83373	−	0.607204i	0.251156	−	0.0397792i	−0.0295868	−	0.999562i	$-0.509419\pi$
$233$	3.83373	−	0.607204i	0.251156	−	0.0397792i	0.280743	+	0.959783i	$0.409419\pi$
$234$	1.75246	−	1.32208i	0.114562	−	0.0864273i
$235$	−7.46222	+	9.56200i	−0.486782	+	0.623756i
$236$	−9.18807	−	11.7336i	−0.598092	−	0.763792i
$237$	8.71750	−	4.44179i	0.566263	−	0.288525i
$238$	−4.03504	+	28.8257i	−0.261553	+	1.86849i
$239$	7.61415	+	23.4340i	0.492519	+	1.51582i	0.820788	+	0.571232i	$0.193534\pi$
$239$	7.61415	+	23.4340i	0.492519	+	1.51582i	−0.328270	+	0.944584i	$0.606466\pi$
$240$	2.44176	−	8.60452i	0.157615	−	0.555419i
$241$	−3.52384	+	10.8453i	−0.226990	+	0.698605i	0.771093	+	0.636722i	$0.219710\pi$
$241$	−3.52384	+	10.8453i	−0.226990	+	0.698605i	−0.998083	+	0.0618821i	$0.980290\pi$
$242$	−23.7718	−	11.5781i	−1.52811	−	0.744271i
$243$	−0.707107	−	0.707107i	−0.0453609	−	0.0453609i
$244$	−13.1998	−	3.76928i	−0.845028	−	0.241303i
$245$	−3.36901	+	6.08571i	−0.215238	+	0.388802i
$246$	−1.11564	+	0.0200866i	−0.0711305	+	0.00128068i
$247$	−0.502418	+	3.17214i	−0.0319681	+	0.201838i
$248$	−1.22787	+	1.36822i	−0.0779699	+	0.0868818i
$249$		−	5.72428i		−	0.362762i
$250$	−13.5351	+	8.17316i	−0.856036	+	0.516916i
$251$		−	3.59287i		−	0.226780i	−0.993551	−	0.113390i	$-0.963829\pi$
$251$		−	3.59287i		−	0.226780i	0.993551	−	0.113390i	$-0.0361709\pi$
$252$	0.768093	−	6.31295i	0.0483853	−	0.397678i
$253$	−0.0637587	+	0.402557i	−0.00400848	+	0.0253085i
$254$	−0.370991	−	20.6053i	−0.0232780	−	1.29289i
$255$	−7.00990	+	12.6626i	−0.438977	+	0.792960i
$256$	−11.4605	+	11.1650i	−0.716280	+	0.697813i
$257$	7.37059	+	7.37059i	0.459765	+	0.459765i	0.898578	−	0.438813i	$-0.144601\pi$
$257$	7.37059	+	7.37059i	0.459765	+	0.459765i	−0.438813	+	0.898578i	$0.644601\pi$
$258$	−7.53054	+	15.4614i	−0.468831	+	0.962587i
$259$	7.68711	−	23.6585i	0.477653	−	1.47007i
$260$	5.62284	+	4.07110i	0.348714	+	0.252479i
$261$	0.481504	+	1.48192i	0.0298043	+	0.0917284i
$262$	9.05002	+	1.26683i	0.559112	+	0.0782649i
$263$	5.70232	−	2.90548i	0.351620	−	0.179159i	−0.269255	−	0.963069i	$-0.586777\pi$
$263$	5.70232	−	2.90548i	0.351620	−	0.179159i	0.620875	+	0.783910i	$0.286777\pi$
$264$	−15.3910	+	0.832048i	−0.947252	+	0.0512090i
$265$	−13.0418	+	16.7116i	−0.801152	+	1.02659i
$266$	5.60345	+	7.42754i	0.343570	+	0.455412i
$267$	18.1727	−	2.87827i	1.11215	−	0.176148i
$268$	1.63893	−	3.52480i	0.100113	−	0.215311i
$269$	−9.21074	+	12.6775i	−0.561589	+	0.772961i	−0.991527	−	0.129897i	$-0.958535\pi$
$269$	−9.21074	+	12.6775i	−0.561589	+	0.772961i	0.429939	+	0.902858i	$0.358535\pi$
$270$	1.48154	−	2.79375i	0.0901634	−	0.170022i
$271$	−1.95435	−	2.68994i	−0.118719	−	0.163402i	0.745522	−	0.666481i	$-0.232200\pi$
$271$	−1.95435	−	2.68994i	−0.118719	−	0.163402i	−0.864240	+	0.503079i	$0.832200\pi$
$272$	22.1634	−	13.3835i	1.34385	−	0.811492i
$273$	4.39783	+	2.24081i	0.266169	+	0.135620i
$274$	−13.1143	−	9.17201i	−0.792265	−	0.554101i
$275$	20.8919	+	17.4915i	1.25983	+	1.05477i
$276$	0.0513147	+	0.140505i	0.00308878	+	0.00845743i
$277$	−4.78210	+	9.38541i	−0.287329	+	0.563914i	−0.988882	−	0.148703i	$-0.952490\pi$
$277$	−4.78210	+	9.38541i	−0.287329	+	0.563914i	0.701553	+	0.712617i	$0.252490\pi$
$278$	−14.9101	+	15.4569i	−0.894251	+	0.927042i
$279$	−0.525836	+	0.382042i	−0.0314810	+	0.0228723i
$280$	19.7973	−	3.53563i	1.18311	−	0.211295i
$281$	11.3562	+	8.25073i	0.677451	+	0.492197i	0.872511	−	0.488594i	$-0.162490\pi$
$281$	11.3562	+	8.25073i	0.677451	+	0.492197i	−0.195060	+	0.980791i	$0.562490\pi$
$282$	7.55388	−	1.33623i	0.449827	−	0.0795715i
$283$	0.132703	+	0.837855i	0.00788839	+	0.0498053i	0.991319	−	0.131482i	$-0.0419736\pi$
$283$	0.132703	+	0.837855i	0.00788839	+	0.0498053i	−0.983430	+	0.181287i	$0.941974\pi$
$284$	−5.44618	+	0.196176i	−0.323171	+	0.0116409i
$285$	1.27767	+	4.44658i	0.0756828	+	0.263393i
$286$	3.49132	−	11.4421i	0.206446	−	0.676584i
$287$	−1.13899	−	2.23539i	−0.0672323	−	0.131951i
$288$	−4.78903	+	3.01084i	−0.282196	+	0.177416i
$289$	−23.6773	+	7.69322i	−1.39278	+	0.452542i
$290$	−4.03318	+	2.83066i	−0.236837	+	0.166222i
$291$	−2.09079	−	0.679338i	−0.122564	−	0.0398235i
$292$	4.62318	−	2.56931i	0.270551	−	0.150358i
$293$	−17.8592	+	17.8592i	−1.04335	+	1.04335i	−0.0443303	+	0.999017i	$0.514115\pi$
$293$	−17.8592	+	17.8592i	−1.04335	+	1.04335i	−0.999017	+	0.0443303i	$0.985885\pi$
$294$	4.15890	−	1.43458i	0.242552	−	0.0836664i
$295$	12.1796	−	11.3701i	0.709123	−	0.661994i
$296$	−20.6447	+	7.96382i	−1.19995	+	0.462888i
$297$	−5.38240	−	0.852489i	−0.312319	−	0.0494664i
$298$	−19.6670	+	10.4710i	−1.13928	+	0.606567i
$299$	−0.116096			−0.00671398
$300$	9.82043	+	1.88655i	0.566983	+	0.108920i
$301$	−38.6680			−2.22879
$302$	4.98862	−	2.65601i	0.287063	−	0.152836i
$303$	−15.5495	−	2.46280i	−0.893294	−	0.141484i
$304$	1.98453	−	8.03469i	0.113821	−	0.460821i
$305$	2.92022	−	15.0673i	0.167212	−	0.862751i
$306$	8.65342	−	2.98493i	0.494683	−	0.170637i
$307$	10.3879	−	10.3879i	0.592866	−	0.592866i	−0.345539	−	0.938405i	$-0.612304\pi$
$307$	10.3879	−	10.3879i	0.592866	−	0.592866i	0.938405	+	0.345539i	$0.112304\pi$
$308$	−16.8349	−	30.2924i	−0.959257	−	1.72607i
$309$	6.86674	+	2.23114i	0.390635	+	0.126925i
$310$	−1.64286	−	1.23516i	−0.0933081	−	0.0701523i
$311$	−3.30183	+	1.07283i	−0.187230	+	0.0608346i	−0.401131	−	0.916021i	$-0.631383\pi$
$311$	−3.30183	+	1.07283i	−0.187230	+	0.0608346i	0.213902	+	0.976855i	$0.431383\pi$
$312$	−0.919903	−	4.29300i	−0.0520793	−	0.243043i
$313$	1.60421	+	3.14843i	0.0906751	+	0.177960i	0.931890	−	0.362741i	$-0.118159\pi$
$313$	1.60421	+	3.14843i	0.0906751	+	0.177960i	−0.841215	+	0.540701i	$0.818159\pi$
$314$	4.68687	−	15.3602i	0.264495	−	0.866828i
$315$	7.10595	+	0.244249i	0.400375	+	0.0137619i
$316$	−0.704392	−	19.5551i	−0.0396251	−	1.10006i
$317$	−4.67900	−	29.5420i	−0.262799	−	1.65925i	−0.667360	−	0.744736i	$-0.732576\pi$
$317$	−4.67900	−	29.5420i	−0.262799	−	1.65925i	0.404561	−	0.914511i	$-0.367424\pi$
$318$	13.2020	−	2.33535i	0.740332	−	0.130960i
$319$	6.86960	+	4.99105i	0.384624	+	0.279445i
$320$	−13.5457	−	11.6840i	−0.757226	−	0.653153i
$321$	−15.4446	+	11.2211i	−0.862032	+	0.626303i
$322$	−0.233498	+	0.242060i	−0.0130123	+	0.0134895i
$323$	−6.07995	+	11.9326i	−0.338297	+	0.663946i
$324$	−1.87863	+	0.686105i	−0.104368	+	0.0381169i
$325$	−3.99008	+	6.65711i	−0.221330	+	0.369270i
$326$	−8.55076	−	5.98031i	−0.473583	−	0.331218i
$327$	−14.4334	−	7.35421i	−0.798171	−	0.406689i
$328$	−0.904328	+	2.04020i	−0.0499331	+	0.112651i
$329$	10.1381	+	13.9539i	0.558933	+	0.769305i
$330$	−2.41706	−	17.0625i	−0.133055	−	0.939258i
$331$	9.91309	−	13.6442i	0.544873	−	0.749953i	−0.444433	−	0.895812i	$-0.646595\pi$
$331$	9.91309	−	13.6442i	0.544873	−	0.749953i	0.989305	+	0.145860i	$0.0465947\pi$
$332$	−10.3812	−	4.82697i	−0.569744	−	0.264914i
$333$	−7.72693	+	1.22383i	−0.423433	+	0.0670652i
$334$	15.1387	+	20.0668i	0.828355	+	1.09801i
$335$	4.08473	+	1.48419i	0.223173	+	0.0810899i
$336$	−10.8011	−	6.71633i	−0.589249	−	0.366406i
$337$	11.6829	−	5.95275i	0.636410	−	0.324267i	−0.105847	−	0.994382i	$-0.533755\pi$
$337$	11.6829	−	5.95275i	0.636410	−	0.324267i	0.742257	+	0.670116i	$0.233755\pi$
$338$	−14.8326	−	2.07628i	−0.806787	−	0.112935i
$339$	4.33929	+	13.3549i	0.235678	+	0.725341i
$340$	17.0530	+	23.3904i	0.924830	+	1.26852i
$341$	−1.09454	+	3.36865i	−0.0592726	+	0.182422i
$342$	1.28125	−	2.63063i	0.0692823	−	0.142248i
$343$	−8.74452	−	8.74452i	−0.472160	−	0.472160i
$344$	21.6899	+	26.6947i	1.16944	+	1.43928i
$345$	−0.151531	+	0.0707610i	−0.00815814	+	0.00380965i
$346$	−0.137724	−	7.64936i	−0.00740408	−	0.411232i
$347$	5.76587	−	36.4043i	0.309528	−	1.95428i	0.0108135	−	0.999942i	$-0.496558\pi$
$347$	5.76587	−	36.4043i	0.309528	−	1.95428i	0.298715	−	0.954342i	$-0.403442\pi$
$348$	3.09355	+	0.376390i	0.165831	+	0.0201766i
$349$		−	16.2550i		−	0.870112i	−0.900403	−	0.435056i	$-0.856729\pi$
$349$		−	16.2550i		−	0.870112i	0.900403	−	0.435056i	$-0.143271\pi$
$350$	5.85506	+	21.7085i	0.312966	+	1.16037i
$351$		−	1.55226i		−	0.0828535i
$352$	−11.4694	+	28.6139i	−0.611323	+	1.52513i
$353$	−0.452204	+	2.85511i	−0.0240684	+	0.151962i	−0.996796	−	0.0799899i	$-0.974511\pi$
$353$	−0.452204	+	2.85511i	−0.0240684	+	0.151962i	0.972727	+	0.231952i	$0.0745112\pi$
$354$	−10.5363	+	0.189701i	−0.559996	+	0.0100825i
$355$	−0.745857	−	6.04714i	−0.0395860	−	0.320949i
$356$	10.1042	−	35.3841i	0.535519	−	1.87535i
$357$	14.5534	+	14.5534i	0.770246	+	0.770246i
$358$	18.8401	+	9.17613i	0.995731	+	0.484974i
$359$	0.862634	−	2.65492i	0.0455281	−	0.140121i	−0.925708	−	0.378238i	$-0.876530\pi$
$359$	0.862634	−	2.65492i	0.0455281	−	0.140121i	0.971237	+	0.238117i	$0.0765301\pi$
$360$	−3.81729	−	5.04264i	−0.201189	−	0.265771i
$361$	−4.54845	−	13.9987i	−0.239392	−	0.736773i
$362$	0.346172	−	2.47300i	0.0181944	−	0.129978i
$363$	−16.6591	+	8.48825i	−0.874377	+	0.445518i
$364$	7.77225	−	6.08611i	0.407376	−	0.318999i
$365$	3.30944	+	4.90066i	0.173224	+	0.256512i
$366$	−7.74892	+	5.84591i	−0.405043	+	0.305571i
$367$	−2.64453	+	0.418853i	−0.138044	+	0.0218639i	−0.225074	−	0.974342i	$-0.572262\pi$
$367$	−2.64453	+	0.418853i	−0.138044	+	0.0218639i	0.0870303	+	0.996206i	$0.472262\pi$
$368$	0.298083	+	0.0254190i	0.0155387	+	0.00132506i
$369$	−0.463764	+	0.638317i	−0.0241426	+	0.0332295i
$370$	−10.8694	−	22.2236i	−0.565072	−	1.15535i
$371$	17.7185	+	24.3875i	0.919900	+	1.26613i
$372$	0.249442	+	1.27578i	0.0129330	+	0.0661462i
$373$	26.3105	+	13.4059i	1.36231	+	0.694130i	0.973819	−	0.227324i	$-0.0729978\pi$
$373$	26.3105	+	13.4059i	1.36231	+	0.694130i	0.388487	+	0.921454i	$0.372998\pi$
$374$	28.5895	−	40.8778i	1.47833	−	2.11374i
$375$	−1.15039	+	11.1210i	−0.0594061	+	0.574286i
$376$	3.94645	−	14.8261i	0.203523	−	0.764596i
$377$	−1.09807	+	2.15508i	−0.0565533	+	0.110992i
$378$	−3.23648	−	3.12200i	−0.166466	−	0.160578i
$379$	9.56556	−	6.94978i	0.491350	−	0.356986i	−0.314353	−	0.949306i	$-0.601788\pi$
$379$	9.56556	−	6.94978i	0.491350	−	0.356986i	0.805703	+	0.592320i	$0.201788\pi$
$380$	9.14146	+	1.43244i	0.468947	+	0.0734827i
$381$	−11.7894	−	8.56551i	−0.603990	−	0.438825i
$382$	2.20361	+	12.4573i	0.112747	+	0.637369i
$383$	3.61331	+	22.8135i	0.184632	+	1.16572i	0.889689	+	0.456567i	$0.150921\pi$
$383$	3.61331	+	22.8135i	0.184632	+	1.16572i	−0.705057	+	0.709150i	$0.749079\pi$
$384$	1.42197	+	11.2240i	0.0725645	+	0.572772i
$385$	32.1106	−	21.6845i	1.63651	−	1.10514i
$386$	33.7236	+	10.2901i	1.71648	+	0.523751i
$387$	5.52084	+	10.8353i	0.280640	+	0.550787i
$388$	−2.99505	+	3.21889i	−0.152051	+	0.163414i
$389$	−3.09467	+	1.00552i	−0.156906	+	0.0509818i	−0.386417	−	0.922324i	$-0.626287\pi$
$389$	−3.09467	+	1.00552i	−0.156906	+	0.0509818i	0.229511	+	0.973306i	$0.426287\pi$
$390$	4.69261	−	1.44031i	0.237620	−	0.0729328i
$391$	−0.460408	−	0.149596i	−0.0232838	−	0.00756537i
$392$	0.905295	−	8.75204i	0.0457243	−	0.442045i
$393$	4.56913	−	4.56913i	0.230482	−	0.230482i
$394$	10.2401	+	29.6865i	0.515890	+	1.49558i
$395$	21.7129	−	2.67808i	1.09249	−	0.134749i
$396$	−6.08470	+	9.04236i	−0.305768	+	0.454396i
$397$	13.8296	+	2.19040i	0.694089	+	0.109933i	0.493504	−	0.869743i	$-0.335716\pi$
$397$	13.8296	+	2.19040i	0.694089	+	0.109933i	0.200585	+	0.979676i	$0.435716\pi$
$398$	−8.82508	−	16.5756i	−0.442362	−	0.830860i
$399$	6.57902			0.329363
$400$	11.7024	−	16.2190i	0.585118	−	0.810948i
$401$	21.6899			1.08314			0.541571	−	0.840655i	$-0.317830\pi$
$401$	21.6899			1.08314			0.541571	+	0.840655i	$0.317830\pi$
$402$	−1.29175	−	2.42621i	−0.0644267	−	0.121009i
$403$	−0.996500	−	0.157830i	−0.0496392	−	0.00786208i
$404$	−17.5784	+	26.1229i	−0.874558	+	1.29966i
$405$	−0.946113	−	2.02605i	−0.0470127	−	0.100675i
$406$	2.28486	+	6.62390i	0.113396	+	0.328739i
$407$	−30.1459	+	30.1459i	−1.49428	+	1.49428i
$408$	1.88365	−	18.2104i	0.0932545	−	0.901548i
$409$	−7.03252	−	2.28500i	−0.347736	−	0.112986i	0.129941	−	0.991522i	$-0.458521\pi$
$409$	−7.03252	−	2.28500i	−0.347736	−	0.112986i	−0.477677	+	0.878536i	$0.658521\pi$
$410$	−2.36000	−	0.809719i	−0.116552	−	0.0399892i
$411$	−10.7623	+	3.49689i	−0.530865	+	0.172489i
$412$	9.83660	−	10.5717i	0.484615	−	0.520832i
$413$	−10.7568	−	21.1114i	−0.529306	−	1.03882i
$414$	0.101166	+	0.0308688i	0.00497205	+	0.00151712i
$415$	4.37123	−	12.0304i	0.214575	−	0.590547i
$416$	−8.56125	−	1.95176i	−0.419750	−	0.0956931i
$417$	2.37561	+	14.9990i	0.116334	+	0.734505i
$418$	−2.77754	−	15.7018i	−0.135854	−	0.767999i
$419$	−18.4469	−	13.4024i	−0.901189	−	0.654752i	0.0375823	−	0.999294i	$-0.488034\pi$
$419$	−18.4469	−	13.4024i	−0.901189	−	0.654752i	−0.938771	+	0.344542i	$0.888034\pi$
$420$	6.43500	−	12.6810i	0.313996	−	0.618768i
$421$	−7.58603	+	5.51157i	−0.369721	+	0.268618i	−0.757095	−	0.653305i	$-0.773382\pi$
$421$	−7.58603	+	5.51157i	−0.369721	+	0.268618i	0.387375	+	0.921922i	$0.373382\pi$
$422$	3.28068	+	3.16463i	0.159701	+	0.154052i
$423$	2.46259	−	4.83311i	0.119735	−	0.234994i
$424$	6.89726	−	25.9117i	0.334961	−	1.25838i
$425$	−24.4018	+	21.2591i	−1.18366	+	1.03122i
$426$	−2.20856	+	3.15784i	−0.107005	+	0.152998i
$427$	−19.4461	−	9.90827i	−0.941061	−	0.479495i
$428$	7.32647	+	37.4716i	0.354138	+	1.81126i
$429$	−4.97209	−	6.84350i	−0.240055	−	0.330407i
$430$	−27.6332	+	26.7438i	−1.33259	+	1.28970i
$431$	−2.42444	+	3.33696i	−0.116781	+	0.160736i	−0.863406	−	0.504510i	$-0.831673\pi$
$431$	−2.42444	+	3.33696i	−0.116781	+	0.160736i	0.746625	+	0.665246i	$0.231673\pi$
$432$	−0.339866	+	3.98554i	−0.0163518	+	0.191754i
$433$	6.83033	−	1.08182i	0.328245	−	0.0519888i	0.00986265	−	0.999951i	$-0.496861\pi$
$433$	6.83033	−	1.08182i	0.328245	−	0.0519888i	0.318382	+	0.947963i	$0.396861\pi$
$434$	−2.33330	+	1.76028i	−0.112002	+	0.0844959i
$435$	−0.119690	+	3.48214i	−0.00573868	+	0.166956i
$436$	−25.5081	+	19.9743i	−1.22162	+	0.956595i
$437$	−0.137880	+	0.0702532i	−0.00659568	+	0.00336067i
$438$	0.518472	−	3.70388i	0.0247735	−	0.176978i
$439$	2.92427	+	8.99998i	0.139568	+	0.429546i	0.996273	−	0.0862616i	$-0.0274921\pi$
$439$	2.92427	+	8.99998i	0.139568	+	0.429546i	−0.856705	+	0.515807i	$0.827492\pi$
$440$	−32.9817	−	10.0044i	−1.57234	−	0.476940i
$441$	0.961297	−	2.95857i	0.0457761	−	0.140884i
$442$	12.7744	+	6.22181i	0.607617	+	0.295941i
$443$	13.6461	+	13.6461i	0.648348	+	0.648348i	0.952593	−	0.304246i	$-0.0984045\pi$
$443$	13.6461	+	13.6461i	0.648348	+	0.648348i	−0.304246	+	0.952593i	$0.598404\pi$
$444$	−4.29623	+	15.0451i	−0.203890	+	0.714009i
$445$	40.3903	+	7.82813i	1.91469	+	0.371089i
$446$	−13.8115	+	0.248671i	−0.653995	+	0.0117749i
$447$	−2.46460	+	15.5609i	−0.116572	+	0.736004i
$448$	−21.2883	+	13.9248i	−1.00578	+	0.657884i
$449$			10.3957i			0.490602i	0.969447	+	0.245301i	$0.0788868\pi$
$449$			10.3957i			0.490602i	−0.969447	+	0.245301i	$0.921113\pi$
$450$	5.24704	−	4.74010i	0.247348	−	0.223451i
$451$			4.29967i			0.202463i
$452$	27.8789	+	3.39200i	1.31131	+	0.159546i
$453$	0.625158	−	3.94709i	0.0293725	−	0.185451i
$454$	0.0181489	+	1.00801i	0.000851771	+	0.0473085i
$455$	7.53149	+	8.06767i	0.353082	+	0.378218i
$456$	−3.69035	−	4.54187i	−0.172816	−	0.212693i
$457$	−19.6212	−	19.6212i	−0.917839	−	0.917839i	0.0790331	−	0.996872i	$-0.474817\pi$
$457$	−19.6212	−	19.6212i	−0.917839	−	0.917839i	−0.996872	+	0.0790331i	$0.974817\pi$
$458$	−13.7850	+	28.3028i	−0.644129	+	1.32250i
$459$	2.00017	−	6.15590i	0.0933601	−	0.287333i
$460$	0.000550687		0.334476i	2.56759e−5		0.0155950i
$461$	1.59229	+	4.90056i	0.0741602	+	0.228242i	0.981265	−	0.192663i	$-0.0617126\pi$
$461$	1.59229	+	4.90056i	0.0741602	+	0.228242i	−0.907105	+	0.420905i	$0.861713\pi$
$462$	−24.2689	−	3.39718i	−1.12909	−	0.158051i
$463$	−9.16026	+	4.66738i	−0.425713	+	0.216912i	−0.653702	−	0.756752i	$-0.726785\pi$
$463$	−9.16026	+	4.66738i	−0.425713	+	0.216912i	0.227989	+	0.973664i	$0.426785\pi$
$464$	3.29121	−	5.29289i	0.152791	−	0.245716i
$465$	−1.39686	+	0.401370i	−0.0647776	+	0.0186131i
$466$	−3.30595	−	4.38213i	−0.153145	−	0.202998i
$467$	23.4649	−	3.71647i	1.08582	−	0.171978i	0.412231	−	0.911079i	$-0.364750\pi$
$467$	23.4649	−	3.71647i	1.08582	−	0.171978i	0.673594	+	0.739102i	$0.264750\pi$
$468$	−2.81509	−	1.30893i	−0.130128	−	0.0605055i
$469$	3.63261	−	4.99985i	0.167738	−	0.230872i
$470$	16.8959	+	2.96009i	0.779349	+	0.136539i
$471$	−6.67470	−	9.18694i	−0.307554	−	0.423312i
$472$	−8.54062	+	19.2679i	−0.393114	+	0.886879i
$473$	59.0467	+	30.0858i	2.71497	+	1.38335i
$474$	−11.3386	−	7.93006i	−0.520797	−	0.364240i
$475$	−0.710339	+	10.3208i	−0.0325926	+	0.473549i
$476$	38.6652	−	14.1211i	1.77222	−	0.647240i
$477$	4.30390	−	8.44688i	0.197062	−	0.386756i
$478$	24.1924	−	25.0795i	1.10653	−	1.14711i
$479$	4.54572	−	3.30266i	0.207699	−	0.150902i	−0.479073	−	0.877775i	$-0.659027\pi$
$479$	4.54572	−	3.30266i	0.207699	−	0.150902i	0.686772	+	0.726873i	$0.259027\pi$
$480$	−12.3640	+	2.67065i	−0.564335	+	0.121898i
$481$	−9.82447	−	7.13790i	−0.447957	−	0.325460i
$482$	15.8803	−	2.80912i	0.723327	−	0.127952i
$483$	0.0372029	+	0.234890i	0.00169279	+	0.0106879i
$484$	1.34609	+	37.3697i	0.0611860	+	1.69862i
$485$	−3.87531	−	3.02431i	−0.175969	−	0.137327i
$486$	−0.412733	+	1.35265i	−0.0187219	+	0.0613573i
$487$	−11.0631	−	21.7126i	−0.501319	−	0.983893i	−0.993546	−	0.113427i	$-0.963817\pi$
$487$	−11.0631	−	21.7126i	−0.501319	−	0.983893i	0.492228	−	0.870467i	$-0.336183\pi$
$488$	4.06757	+	18.9825i	0.184130	+	0.859299i
$489$	−7.01721	+	2.28003i	−0.317329	+	0.103106i
$490$	9.83597	+	0.160894i	0.444344	+	0.00726845i
$491$	−29.1023	−	9.45592i	−1.31337	−	0.426740i	−0.433157	−	0.901318i	$-0.642600\pi$
$491$	−29.1023	−	9.45592i	−1.31337	−	0.426740i	−0.880213	+	0.474579i	$0.842600\pi$
$492$	0.766549	+	1.37931i	0.0345587	+	0.0621843i
$493$	−7.13161	+	7.13161i	−0.321192	+	0.321192i
$494$	4.29374	−	1.48109i	0.193184	−	0.0666374i
$495$	−10.6609	−	5.90178i	−0.479170	−	0.265265i
$496$	2.52403	+	0.623422i	0.113332	+	0.0279925i
$497$	−8.55769	−	1.35541i	−0.383865	−	0.0607982i
$498$	−7.14569	+	3.80447i	−0.320206	+	0.170482i
$499$	7.04119			0.315207			0.157603	−	0.987502i	$-0.449623\pi$
$499$	7.04119			0.315207			0.157603	+	0.987502i	$0.449623\pi$
$500$	19.1983	+	11.4640i	0.858576	+	0.512686i
$501$	17.7744			0.794102
$502$	−4.48502	+	2.38789i	−0.200176	+	0.106577i
$503$	20.7582	+	3.28777i	0.925562	+	0.146595i	0.600981	−	0.799263i	$-0.294777\pi$
$503$	20.7582	+	3.28777i	0.925562	+	0.146595i	0.324581	+	0.945858i	$0.394777\pi$
$504$	−8.39102	+	3.23689i	−0.373766	+	0.144182i
$505$	−30.7987	−	17.0499i	−1.37052	−	0.758712i
$506$	0.544892	−	0.187956i	0.0242234	−	0.00835567i
$507$	−7.48861	+	7.48861i	−0.332581	+	0.332581i
$508$	−25.4753	+	14.1578i	−1.13028	+	0.628151i
$509$	29.1283	+	9.46435i	1.29109	+	0.419500i	0.872472	−	0.488664i	$-0.162515\pi$
$509$	29.1283	+	9.46435i	1.29109	+	0.419500i	0.418616	+	0.908164i	$0.362515\pi$
$510$	20.4657	+	0.334772i	0.906237	+	0.0148240i
$511$	7.99752	−	2.59855i	0.353790	−	0.114953i
$512$	21.5543	+	6.88577i	0.952573	+	0.304311i
$513$	−0.939323	−	1.84352i	−0.0414721	−	0.0813936i
$514$	4.30216	−	14.0994i	0.189760	−	0.621899i
$515$	12.7276	+	9.93268i	0.560846	+	0.437686i
$516$	24.3056	−	0.875511i	1.07000	−	0.0385422i
$517$	−4.62418	−	29.1959i	−0.203371	−	1.28403i
$518$	−34.6421	+	6.12797i	−1.52209	+	0.269248i
$519$	−4.37661	−	3.17980i	−0.192112	−	0.139578i
$520$	1.34496	−	9.72479i	0.0589804	−	0.426460i
$521$	6.23330	−	4.52876i	0.273086	−	0.198409i	−0.442810	−	0.896615i	$-0.646018\pi$
$521$	6.23330	−	4.52876i	0.273086	−	0.198409i	0.715896	+	0.698207i	$0.246018\pi$
$522$	1.52988	−	1.58598i	0.0669609	−	0.0694163i
$523$	6.42384	−	12.6075i	0.280895	−	0.551287i	−0.706850	−	0.707363i	$-0.749884\pi$
$523$	6.42384	−	12.6075i	0.280895	−	0.551287i	0.987745	+	0.156076i	$0.0498845\pi$
$524$	−4.43342	−	12.1392i	−0.193675	−	0.530303i
$525$	14.7476	+	5.93963i	0.643638	+	0.259227i
$526$	−7.41681	−	5.18724i	−0.323388	−	0.226174i
$527$	−3.74851	−	1.90996i	−0.163288	−	0.0831993i
$528$	11.2678	+	18.6598i	0.490369	+	0.812063i
$529$	13.5158	+	18.6029i	0.587642	+	0.808820i
$530$	29.5291	+	5.17339i	1.28266	+	0.224718i
$531$	−4.37987	+	6.02837i	−0.190070	+	0.261609i
$532$	5.54772	−	11.9313i	0.240524	−	0.517289i
$533$	−1.20966	+	0.191591i	−0.0523962	+	0.00829874i
$534$	−15.6709	−	20.7722i	−0.678147	−	0.898903i
$535$	−41.0277	+	11.7888i	−1.77378	+	0.509675i
$536$	−5.48931	+	0.296755i	−0.237102	+	0.0128179i
$537$	13.2030	−	6.72727i	0.569752	−	0.290303i
$538$	21.9471	+	3.07217i	0.946207	+	0.132451i
$539$	−5.23858	−	16.1227i	−0.225642	−	0.694454i
$540$	−4.47213	+	0.00736298i	−0.192450	+	0.000316852i
$541$	7.51720	−	23.1356i	0.323190	−	0.994675i	−0.649062	−	0.760736i	$-0.724838\pi$
$541$	7.51720	−	23.1356i	0.323190	−	0.994675i	0.972251	−	0.233939i	$-0.0751617\pi$
$542$	−2.05898	+	4.22743i	−0.0884407	+	0.181583i
$543$	−1.24855	−	1.24855i	−0.0535806	−	0.0535806i
$544$	−31.4369	−	18.7719i	−1.34785	−	0.804838i
$545$	−24.7179	−	26.4777i	−1.05880	−	1.13418i
$546$	−0.125657	−	6.97915i	−0.00537762	−	0.298680i
$547$	−3.14257	+	19.8414i	−0.134366	+	0.848356i	0.824782	+	0.565451i	$0.191298\pi$
$547$	−3.14257	+	19.8414i	−0.134366	+	0.848356i	−0.959148	+	0.282905i	$0.908702\pi$
$548$	−2.73350	+	22.4666i	−0.116769	+	0.959727i
$549$			6.86369i			0.292935i
$550$	7.94961	−	37.7048i	0.338973	−	1.60774i
$551$			3.22393i			0.137344i
$552$	0.141290	−	0.157439i	0.00601369	−	0.00670106i
$553$	4.86673	−	30.7273i	0.206954	−	1.30666i
$554$	14.8942	−	0.268164i	0.632793	−	0.0113932i
$555$	−17.1737	−	3.32848i	−0.728985	−	0.141286i
$556$	29.2046	+	8.33956i	1.23855	+	0.353676i
$557$	−2.56325	−	2.56325i	−0.108608	−	0.108608i	0.650714	−	0.759323i	$-0.274470\pi$
$557$	−2.56325	−	2.56325i	−0.108608	−	0.108608i	−0.759323	+	0.650714i	$0.774470\pi$
$558$	0.826389	+	0.402495i	0.0349838	+	0.0170390i
$559$	−5.83318	+	17.9527i	−0.246717	+	0.759317i
$560$	−17.5712	−	22.3633i	−0.742520	−	0.945023i
$561$	−10.8999	−	33.5465i	−0.460195	−	1.41634i
$562$	2.75196	−	19.6596i	0.116085	−	0.829290i
$563$	−15.8692	+	8.08577i	−0.668808	+	0.340775i	−0.755207	−	0.655486i	$-0.772464\pi$
$563$	−15.8692	+	8.08577i	−0.668808	+	0.340775i	0.0863997	+	0.996261i	$0.472464\pi$
$564$	−6.68849	−	8.54151i	−0.281636	−	0.359662i
$565$	−1.07864	+	31.3808i	−0.0453786	+	1.32020i
$566$	0.957707	−	0.722510i	0.0402554	−	0.0303693i
$567$	−3.14060	+	0.497423i	−0.131893	+	0.0208898i
$568$	3.86452	+	6.66815i	0.162152	+	0.279789i
$569$	7.18354	−	9.88730i	0.301150	−	0.414497i	−0.631446	−	0.775420i	$-0.717538\pi$
$569$	7.18354	−	9.88730i	0.301150	−	0.414497i	0.932596	+	0.360923i	$0.117538\pi$
$570$	4.70156	−	4.55022i	0.196927	−	0.190588i
$571$	−15.9439	−	21.9448i	−0.667230	−	0.918363i	0.332464	−	0.943116i	$-0.392120\pi$
$571$	−15.9439	−	21.9448i	−0.667230	−	0.918363i	−0.999694	+	0.0247529i	$0.992120\pi$
$572$	−16.6037	+	3.24636i	−0.694234	+	0.135737i
$573$	7.97039	+	4.06112i	0.332968	+	0.169656i
$574$	−2.03347	+	2.90749i	−0.0848753	+	0.121356i
$575$	−0.372498	+	0.0330005i	−0.0155342	+	0.00137622i
$576$	6.94135	+	3.97714i	0.289223	+	0.165714i
$577$	2.08336	−	4.08883i	0.0867315	−	0.170220i	−0.843567	−	0.537025i	$-0.819548\pi$
$577$	2.08336	−	4.08883i	0.0867315	−	0.170220i	0.930298	+	0.366805i	$0.119548\pi$
$578$	25.3399	+	24.4436i	1.05400	+	1.01672i
$579$	20.1700	−	14.6544i	0.838239	−	0.609016i
$580$	6.21408	+	3.15336i	0.258026	+	0.130936i
$581$	−14.7256	−	10.6988i	−0.610920	−	0.443859i
$582$	0.541552	+	3.06146i	0.0224480	+	0.126901i
$583$	−8.08173	−	51.0260i	−0.334711	−	2.11328i
$584$	−6.27995	−	4.06355i	−0.259866	−	0.168151i
$585$	1.18535	−	3.26228i	0.0490082	−	0.134879i
$586$	34.1635	+	10.4243i	1.41128	+	0.430624i
$587$	−17.2515	−	33.8579i	−0.712044	−	1.39746i	−0.908893	−	0.417030i	$-0.863071\pi$
$587$	−17.2515	−	33.8579i	−0.712044	−	1.39746i	0.196849	−	0.980434i	$-0.436929\pi$
$588$	−4.55488	−	4.23815i	−0.187840	−	0.174778i
$589$	−1.27899	+	0.415569i	−0.0526999	+	0.0171232i
$590$	−22.2882	−	7.64712i	−0.917593	−	0.314827i
$591$	21.1185	+	6.86180i	0.868697	+	0.282257i
$592$	23.6622	+	20.4781i	0.972510	+	0.841645i
$593$	17.3285	−	17.3285i	0.711597	−	0.711597i	−0.255272	−	0.966869i	$-0.582165\pi$
$593$	17.3285	−	17.3285i	0.711597	−	0.711597i	0.966869	+	0.255272i	$0.0821651\pi$
$594$	2.51307	+	7.28549i	0.103113	+	0.298927i
$595$	19.4725	+	41.6992i	0.798294	+	1.70950i
$596$	26.1421	+	17.5913i	1.07082	+	0.720567i
$597$	−13.1149	−	2.07720i	−0.536758	−	0.0850142i
$598$	0.0771593	+	0.144923i	0.00315528	+	0.00592636i
$599$	−10.4401			−0.426571			−0.213286	−	0.976990i	$-0.568417\pi$
$599$	−10.4401			−0.426571			−0.213286	+	0.976990i	$0.568417\pi$
$600$	−4.17185	−	13.5128i	−0.170315	−	0.551658i
$601$	−39.5374			−1.61276			−0.806382	−	0.591395i	$-0.798578\pi$
$601$	−39.5374			−1.61276			−0.806382	+	0.591395i	$0.798578\pi$
$602$	25.6995	+	48.2697i	1.04743	+	1.96733i
$603$	−1.91967	−	0.304046i	−0.0781749	−	0.0123817i
$604$	−6.63106	−	4.46211i	−0.269814	−	0.181561i
$605$	−41.4933	+	5.11780i	−1.68694	+	0.208068i
$606$	7.26014	+	21.0474i	0.294923	+	0.854993i
$607$	−2.10515	+	2.10515i	−0.0854455	+	0.0854455i	−0.748538	−	0.663092i	$-0.769244\pi$
$607$	−2.10515	+	2.10515i	−0.0854455	+	0.0854455i	0.663092	+	0.748538i	$0.269244\pi$
$608$	−11.3488	+	2.86270i	−0.460253	+	0.116098i
$609$	4.71213	+	1.53106i	0.190945	+	0.0620418i
$610$	−20.7495	+	6.36866i	−0.840124	+	0.257860i
$611$	8.00786	−	2.60191i	0.323963	−	0.105262i
$612$	−9.47735	−	8.81833i	−0.383099	−	0.356460i
$613$	−8.36070	−	16.4088i	−0.337686	−	0.662745i	0.658251	−	0.752798i	$-0.271296\pi$
$613$	−8.36070	−	16.4088i	−0.337686	−	0.662745i	−0.995937	+	0.0900529i	$0.971296\pi$
$614$	−19.8712	−	6.06331i	−0.801938	−	0.244695i
$615$	−1.46210	+	0.987365i	−0.0589576	+	0.0398144i
$616$	−26.6256	+	41.1481i	−1.07277	+	1.65790i
$617$	0.527802	+	3.33241i	0.0212485	+	0.134158i	0.996032	−	0.0889944i	$-0.0283653\pi$
$617$	0.527802	+	3.33241i	0.0212485	+	0.134158i	−0.974784	+	0.223152i	$0.928365\pi$
$618$	−1.77861	−	10.0547i	−0.0715461	−	0.404459i
$619$	2.13354	+	1.55011i	0.0857543	+	0.0623042i	0.629836	−	0.776728i	$-0.283122\pi$
$619$	2.13354	+	1.55011i	0.0857543	+	0.0623042i	−0.544082	+	0.839032i	$0.683122\pi$
$620$	−0.449989	+	2.87171i	−0.0180720	+	0.115331i
$621$	0.0605074	−	0.0439612i	0.00242808	−	0.00176410i
$622$	3.53368	+	3.40869i	0.141688	+	0.136676i
$623$	26.5607	−	52.1283i	1.06413	−	2.08848i
$624$	−4.74762	+	4.00154i	−0.190057	+	0.160190i
$625$	−10.9100	+	22.4938i	−0.436401	+	0.899752i
$626$	2.86404	−	4.09506i	0.114470	−	0.163671i
$627$	−10.0463	−	5.11883i	−0.401210	−	0.204427i
$628$	−22.2893	+	4.35803i	−0.889441	+	0.173904i
$629$	−29.7640	−	40.9666i	−1.18677	−	1.63345i
$630$	−4.41785	−	9.03277i	−0.176011	−	0.359874i
$631$	10.3612	−	14.2610i	0.412473	−	0.567721i	−0.551346	−	0.834277i	$-0.685886\pi$
$631$	10.3612	−	14.2610i	0.412473	−	0.567721i	0.963820	+	0.266556i	$0.0858856\pi$
$632$	−23.9427	+	13.8760i	−0.952389	+	0.551957i
$633$	3.18349	−	0.504216i	0.126533	−	0.0200408i
$634$	−33.7679	+	25.4751i	−1.34110	+	1.01174i
$635$	−18.2362	−	27.0043i	−0.723681	−	1.07163i
$636$	−11.6895	−	14.9281i	−0.463521	−	0.591938i
$637$	4.30250	−	2.19223i	0.170471	−	0.0868594i
$638$	1.66473	−	11.8925i	0.0659072	−	0.470830i
$639$	0.842027	+	2.59149i	0.0333101	+	0.102518i
$640$	−5.58251	+	24.6746i	−0.220668	+	0.975349i
$641$	−0.825383	+	2.54027i	−0.0326007	+	0.100335i	−0.966033	−	0.258419i	$-0.916798\pi$
$641$	−0.825383	+	2.54027i	−0.0326007	+	0.100335i	0.933432	+	0.358754i	$0.116798\pi$
$642$	24.2722	+	11.8219i	0.957949	+	0.466572i
$643$	27.1171	+	27.1171i	1.06939	+	1.06939i	0.997405	+	0.0719883i	$0.0229344\pi$
$643$	27.1171	+	27.1171i	1.06939	+	1.06939i	0.0719883	+	0.997405i	$0.477066\pi$
$644$	0.457354	+	0.130601i	0.0180223	+	0.00514638i
$645$	3.32867	+	26.9876i	0.131066	+	1.06264i
$646$	18.9364	−	0.340943i	0.745043	−	0.0134142i
$647$	4.46668	−	28.2015i	0.175603	−	1.10872i	−0.729643	−	0.683829i	$-0.760314\pi$
$647$	4.46668	−	28.2015i	0.175603	−	1.10872i	0.905246	−	0.424888i	$-0.139686\pi$
$648$	2.10505	+	1.88912i	0.0826941	+	0.0742117i
$649$			40.6067i			1.59395i
$650$	10.9620	+	0.556418i	0.429966	+	0.0218245i
$651$			2.06674i			0.0810020i
$652$	−1.78229	+	14.6486i	−0.0697999	+	0.573685i
$653$	4.03203	−	25.4573i	0.157786	−	0.996219i	−0.773993	−	0.633194i	$-0.781744\pi$
$653$	4.03203	−	25.4573i	0.157786	−	0.996219i	0.931779	−	0.363026i	$-0.118256\pi$
$654$	0.412399	+	22.9052i	0.0161261	+	0.895664i
$655$	13.0918	−	6.11352i	0.511537	−	0.238875i
$656$	3.14783	−	0.227070i	0.122902	−	0.00886560i
$657$	−1.87000	−	1.87000i	−0.0729555	−	0.0729555i
$658$	10.6809	−	21.9296i	0.416383	−	0.854904i
$659$	4.53553	−	13.9589i	0.176679	−	0.543763i	−0.823027	−	0.568002i	$-0.807716\pi$
$659$	4.53553	−	13.9589i	0.176679	−	0.543763i	0.999706	+	0.0242396i	$0.00771645\pi$
$660$	−19.6928	+	14.3573i	−0.766543	+	0.558856i
$661$	4.78767	+	14.7349i	0.186219	+	0.573123i	0.999967	−	0.00809448i	$-0.00257658\pi$
$661$	4.78767	+	14.7349i	0.186219	+	0.573123i	−0.813748	+	0.581217i	$0.802577\pi$
$662$	−23.6206	−	3.30643i	−0.918042	−	0.128508i
$663$	8.95221	−	4.56138i	0.347675	−	0.177149i
$664$	0.874004	+	16.1671i	0.0339179	+	0.627406i
$665$	13.8267	+	5.02394i	0.536177	+	0.194820i
$666$	6.66318	+	8.83224i	0.258193	+	0.342242i
$667$	−0.115104	+	0.0182306i	−0.00445683	+	0.000705892i
$668$	14.9882	−	32.2347i	0.579910	−	1.24720i
$669$	−5.74137	+	7.90232i	−0.221974	+	0.305521i
$670$	−0.862061	−	6.08544i	−0.0333043	−	0.235101i
$671$	21.9853	+	30.2602i	0.848733	+	1.16818i
$672$	−1.20544	+	17.9470i	−0.0465010	+	0.692319i
$673$	−28.5722	−	14.5583i	−1.10138	−	0.561181i	−0.193791	−	0.981043i	$-0.562078\pi$
$673$	−28.5722	−	14.5583i	−1.10138	−	0.561181i	−0.907588	+	0.419862i	$0.862078\pi$
$674$	−15.1956	−	10.6276i	−0.585312	−	0.409361i
$675$	−0.441234	−	4.98049i	−0.0169831	−	0.191699i
$676$	7.26619	+	19.8956i	0.279469	+	0.765217i
$677$	2.52536	−	4.95630i	0.0970574	−	0.190486i	−0.837373	−	0.546632i	$-0.815910\pi$
$677$	2.52536	−	4.95630i	0.0970574	−	0.190486i	0.934430	+	0.356146i	$0.115910\pi$
$678$	13.7872	−	14.2927i	0.529493	−	0.548909i
$679$	−5.65529	+	4.10881i	−0.217030	+	0.157681i
$680$	17.8647	−	36.8332i	0.685081	−	1.41249i
$681$	0.576740	+	0.419026i	0.0221007	+	0.0160571i
$682$	4.93257	−	0.872540i	0.188878	−	0.0334113i
$683$	−4.24480	−	26.8006i	−0.162423	−	1.02550i	−0.925378	−	0.379046i	$-0.876252\pi$
$683$	−4.24480	−	26.8006i	−0.162423	−	1.02550i	0.762955	−	0.646451i	$-0.223748\pi$
$684$	−4.13539	+	0.148961i	−0.158121	+	0.00569565i
$685$	−25.2888	−	0.869237i	−0.966234	−	0.0332118i
$686$	−5.10411	+	16.7277i	−0.194876	+	0.638665i
$687$	10.1061	+	19.8344i	0.385573	+	0.756730i
$688$	18.9078	−	44.8176i	0.720853	−	1.70865i
$689$	13.9954	−	4.54739i	0.533184	−	0.173242i
$690$	0.189042	+	0.142129i	0.00719671	+	0.00541074i
$691$	10.1763	+	3.30648i	0.387125	+	0.125785i	0.496112	−	0.868259i	$-0.334761\pi$
$691$	10.1763	+	3.30648i	0.387125	+	0.125785i	−0.108987	+	0.994043i	$0.534761\pi$
$692$	−9.45725	+	5.25583i	−0.359511	+	0.199797i
$693$	−12.2528	+	12.2528i	−0.465444	+	0.465444i
$694$	−49.2760	+	16.9974i	−1.87049	+	0.645211i
$695$	−6.46102	+	33.3365i	−0.245080	+	1.26453i
$696$	−1.58618	−	4.11186i	−0.0601239	−	0.155860i
$697$	−5.04410	−	0.798907i	−0.191059	−	0.0302608i
$698$	−20.2914	+	10.8034i	−0.768039	+	0.408915i
$699$	−3.88152			−0.146813
$700$	23.2076	−	21.7368i	0.877165	−	0.821575i
$701$	1.06849			0.0403564			0.0201782	−	0.999796i	$-0.493577\pi$
$701$	1.06849			0.0403564			0.0201782	+	0.999796i	$0.493577\pi$
$702$	−1.93770	+	1.03166i	−0.0731339	+	0.0389375i
$703$	−15.9873	−	2.53214i	−0.602973	−	0.0955015i
$704$	43.3419	−	4.69991i	1.63351	−	0.177134i
$705$	8.86618	−	8.27692i	0.333919	−	0.311727i
$706$	3.86461	−	1.33307i	0.145446	−	0.0501706i
$707$	−35.3976	+	35.3976i	−1.33126	+	1.33126i
$708$	7.23941	+	13.0265i	0.272074	+	0.489564i
$709$	29.4261	+	9.56113i	1.10512	+	0.359076i	0.804071	−	0.594533i	$-0.202663\pi$
$709$	29.4261	+	9.56113i	1.10512	+	0.359076i	0.301050	+	0.953608i	$0.402663\pi$
$710$	−7.05300	+	4.95011i	−0.264694	+	0.185774i
$711$	−9.30503	+	3.02339i	−0.348966	+	0.113386i
$712$	−50.8858	+	10.9038i	−1.90702	+	0.408637i
$713$	−0.0220694	−	0.0433137i	−0.000826506	−	0.00162211i
$714$	8.49469	−	27.8396i	0.317906	−	1.04187i
$715$	−5.22363	−	18.1794i	−0.195353	−	0.679870i
$716$	−1.06683	−	29.6170i	−0.0398693	−	1.10684i
$717$	−3.85453	−	24.3366i	−0.143950	−	0.908865i
$718$	−3.88748	+	0.687671i	−0.145080	+	0.0256636i
$719$	−1.95804	−	1.42260i	−0.0730227	−	0.0530541i	0.550675	−	0.834720i	$-0.314370\pi$
$719$	−1.95804	−	1.42260i	−0.0730227	−	0.0530541i	−0.623698	+	0.781666i	$0.714370\pi$
$720$	−3.75775	+	8.11661i	−0.140043	+	0.302488i
$721$	18.5736	−	13.4945i	0.691715	−	0.502561i
$722$	−14.4517	+	14.9817i	−0.537838	+	0.557560i
$723$	5.17703	−	10.1605i	0.192536	−	0.377873i
$724$	−3.31714	+	1.21147i	−0.123281	+	0.0450239i
$725$	−2.91061	+	7.22679i	−0.108097	+	0.268396i
$726$	21.6680	+	15.1543i	0.804173	+	0.562430i
$727$	14.1359	+	7.20259i	0.524271	+	0.267129i	0.696034	−	0.718009i	$-0.254946\pi$
$727$	14.1359	+	7.20259i	0.524271	+	0.267129i	−0.171763	+	0.985138i	$0.554946\pi$
$728$	−12.7629	−	5.65724i	−0.473026	−	0.209671i
$729$	0.587785	+	0.809017i	0.0217698	+	0.0299636i
$730$	3.91803	−	7.38829i	0.145013	−	0.273453i
$731$	−46.2660	+	63.6797i	−1.71121	+	2.35528i
$732$	12.4476	+	5.78777i	0.460077	+	0.213922i
$733$	32.7760	−	5.19121i	1.21061	−	0.191742i	0.481691	−	0.876341i	$-0.340023\pi$
$733$	32.7760	−	5.19121i	1.21061	−	0.191742i	0.728920	+	0.684599i	$0.240023\pi$
$734$	2.28047	+	3.02282i	0.0841735	+	0.111574i
$735$	4.27955	−	5.48376i	0.157853	−	0.202271i
$736$	−0.166381	−	0.388995i	−0.00613289	−	0.0143385i
$737$	−9.43720	+	4.80849i	−0.347624	+	0.177123i
$738$	1.10505	+	0.154685i	0.0406773	+	0.00569403i
$739$	−1.66137	−	5.11317i	−0.0611145	−	0.188091i	0.915838	−	0.401548i	$-0.131528\pi$
$739$	−1.66137	−	5.11317i	−0.0611145	−	0.188091i	−0.976952	+	0.213457i	$0.931528\pi$
$740$	−20.5180	+	28.3386i	−0.754257	+	1.04175i
$741$	0.992464	−	3.05449i	0.0364591	−	0.112210i
$742$	18.6671	−	38.3266i	0.685290	−	1.40701i
$743$	6.86786	+	6.86786i	0.251957	+	0.251957i	0.821773	−	0.569815i	$-0.192985\pi$
$743$	6.86786	+	6.86786i	0.251957	+	0.251957i	−0.569815	+	0.821773i	$0.692985\pi$
$744$	1.42679	−	1.15929i	0.0523086	−	0.0425016i
$745$	−17.0624	+	30.8212i	−0.625119	+	1.12920i
$746$	−0.751756	−	41.7535i	−0.0275237	−	1.52870i
$747$	−0.895475	+	5.65381i	−0.0327637	+	0.206862i
$748$	−70.0294	−	8.52043i	−2.56053	−	0.311538i
$749$			60.7032i			2.21805i
$750$	14.6470	−	5.95518i	0.534834	−	0.217452i
$751$			41.5143i			1.51488i	0.652906	+	0.757439i	$0.273550\pi$
$751$			41.5143i			1.51488i	−0.652906	+	0.757439i	$0.726450\pi$
$752$	−21.1304	+	4.92728i	−0.770547	+	0.179679i
$753$	−0.562048	+	3.54863i	−0.0204822	+	0.129319i
$754$	3.42000	−	0.0615758i	0.124549	−	0.00224246i
$755$	4.32797	−	7.81796i	0.157511	−	0.284525i
$756$	−1.74620	+	6.11507i	−0.0635086	+	0.222403i
$757$	23.8819	+	23.8819i	0.868001	+	0.868001i	0.992251	−	0.124250i	$-0.0396524\pi$
$757$	23.8819	+	23.8819i	0.868001	+	0.868001i	−0.124250	+	0.992251i	$0.539652\pi$
$758$	−15.0329	−	7.32184i	−0.546021	−	0.265941i
$759$	0.125948	−	0.387627i	0.00457161	−	0.0140700i
$760$	−4.28746	−	12.3634i	−0.155522	−	0.448468i
$761$	4.73054	+	14.5591i	0.171482	+	0.527767i	0.999455	−	0.0330004i	$-0.0105063\pi$
$761$	4.73054	+	14.5591i	0.171482	+	0.527767i	−0.827974	+	0.560767i	$0.810506\pi$
$762$	−2.85696	+	20.4097i	−0.103497	+	0.739364i
$763$	−45.8948	+	23.3846i	−1.66150	+	0.846578i
$764$	14.0860	−	11.0301i	0.509613	−	0.399056i
$765$	8.90446	−	11.4101i	0.321941	−	0.412532i
$766$	26.0769	−	19.6729i	0.942198	−	0.710809i
$767$	−11.4242	+	1.80942i	−0.412505	+	0.0653343i
$768$	13.0660	−	9.23474i	0.471478	−	0.333230i
$769$	11.0364	−	15.1903i	0.397983	−	0.547777i	−0.562253	−	0.826965i	$-0.690065\pi$
$769$	11.0364	−	15.1903i	0.397983	−	0.547777i	0.960236	+	0.279188i	$0.0900654\pi$
$770$	−48.4102	−	25.6721i	−1.74458	−	0.925158i
$771$	−6.12683	−	8.43286i	−0.220653	−	0.303702i
$772$	−9.56810	−	48.9365i	−0.344364	−	1.76126i
$773$	−11.9014	−	6.06406i	−0.428063	−	0.218109i	0.226666	−	0.973973i	$-0.427217\pi$
$773$	−11.9014	−	6.06406i	−0.428063	−	0.218109i	−0.654729	+	0.755863i	$0.727217\pi$
$774$	9.85652	−	14.0930i	0.354285	−	0.506564i
$775$	−3.24218	−	0.223147i	−0.116462	−	0.00801567i
$776$	6.00874	+	1.59943i	0.215701	+	0.0574161i
$777$	−11.2935	+	22.1647i	−0.405151	+	0.795153i
$778$	3.31198	+	3.19482i	0.118740	+	0.114540i
$779$	−1.32070	+	0.959545i	−0.0473190	+	0.0343793i
$780$	−4.91675	−	4.90059i	−0.176048	−	0.175469i
$781$	12.0132	+	8.72807i	0.429865	+	0.312315i
$782$	0.119254	+	0.674156i	0.00426451	+	0.0241078i
$783$	−0.243753	−	1.53900i	−0.00871102	−	0.0549992i
$784$	−11.5269	+	4.68668i	−0.411677	+	0.167381i
$785$	−7.01237	−	24.4046i	−0.250282	−	0.871038i
$786$	−8.74042	−	2.66697i	−0.311761	−	0.0951275i
$787$	−20.3005	−	39.8419i	−0.723633	−	1.42021i	−0.900002	−	0.435886i	$-0.856435\pi$
$787$	−20.3005	−	39.8419i	−0.723633	−	1.42021i	0.176368	−	0.984324i	$-0.443565\pi$
$788$	30.2522	−	32.5130i	1.07769	−	1.15823i
$789$	−6.08663	+	1.97767i	−0.216690	+	0.0704068i
$790$	−17.7739	−	25.3246i	−0.632366	−	0.901007i
$791$	42.4654	+	13.7979i	1.50990	+	0.490595i
$792$	15.3317	+	1.58588i	0.544788	+	0.0563519i
$793$	−7.53368	+	7.53368i	−0.267529	+	0.267529i
$794$	−6.45713	−	18.7195i	−0.229155	−	0.664329i
$795$	15.4955	−	14.4657i	0.549570	−	0.513045i
$796$	−14.8262	+	22.0329i	−0.525500	+	0.780936i
$797$	13.1508	+	2.08288i	0.465825	+	0.0737794i	0.384935	−	0.922944i	$-0.374224\pi$
$797$	13.1508	+	2.08288i	0.465825	+	0.0737794i	0.0808896	+	0.996723i	$0.474224\pi$
$798$	−4.37254	−	8.21267i	−0.154786	−	0.290725i
$799$	35.1100			1.24210
$800$	−28.0239	−	3.82876i	−0.990795	−	0.135367i
$801$	−18.3992			−0.650105
$802$	−14.4155	−	27.0758i	−0.509030	−	0.956079i
$803$	−14.2342	−	2.25447i	−0.502313	−	0.0795585i
$804$	−2.17015	+	3.22502i	−0.0765353	+	0.113738i
$805$	−0.101182	+	0.522062i	−0.00356619	+	0.0184003i
$806$	0.465272	+	1.34884i	0.0163885	+	0.0475108i
$807$	11.0805	−	11.0805i	0.390053	−	0.390053i
$808$	44.2925	+	4.58153i	1.55820	+	0.161178i
$809$	43.9578	+	14.2827i	1.54547	+	0.502155i	0.952880	−	0.303348i	$-0.0981044\pi$
$809$	43.9578	+	14.2827i	1.54547	+	0.502155i	0.592593	+	0.805502i	$0.298104\pi$
$810$	−1.90033	+	2.52759i	−0.0667709	+	0.0888106i
$811$	−43.9841	+	14.2913i	−1.54449	+	0.501836i	−0.952611	−	0.304190i	$-0.901614\pi$
$811$	−43.9841	+	14.2913i	−1.54449	+	0.501836i	−0.591880	+	0.806026i	$0.701614\pi$
$812$	6.75013	−	7.25459i	0.236883	−	0.254586i
$813$	1.50949	+	2.96255i	0.0529402	+	0.103901i
$814$	57.6670	+	17.5959i	2.02123	+	0.616737i
$815$	−16.4887	−	0.566757i	−0.577574	−	0.0198526i
$816$	−23.9841	+	9.75159i	−0.839613	+	0.341374i
$817$	3.93604	+	24.8511i	0.137704	+	0.869432i
$818$	1.82155	+	10.2974i	0.0636890	+	0.360041i
$819$	−3.99315	−	2.90119i	−0.139532	−	0.101376i
$820$	0.557721	+	3.48417i	0.0194765	+	0.121673i
$821$	1.07679	−	0.782333i	0.0375802	−	0.0273036i	−0.568837	−	0.822451i	$-0.692606\pi$
$821$	1.07679	−	0.782333i	0.0375802	−	0.0273036i	0.606417	+	0.795147i	$0.292606\pi$
$822$	11.5180	+	11.1106i	0.401738	+	0.387527i
$823$	8.42826	−	16.5414i	0.293791	−	0.576597i	−0.696180	−	0.717867i	$-0.745119\pi$
$823$	8.42826	−	16.5414i	0.293791	−	0.576597i	0.989971	+	0.141270i	$0.0451186\pi$
$824$	−19.7344	−	5.25297i	−0.687480	−	0.182996i
$825$	−17.8985	−	20.5443i	−0.623144	−	0.715262i
$826$	−19.2044	+	27.4588i	−0.668206	+	0.955414i
$827$	24.3107	+	12.3869i	0.845367	+	0.430736i	0.822338	−	0.568999i	$-0.192669\pi$
$827$	24.3107	+	12.3869i	0.845367	+	0.430736i	0.0230286	+	0.999735i	$0.492669\pi$
$828$	−0.0287030	−	0.146803i	−0.000997499	−	0.00510175i
$829$	21.4172	+	29.4782i	0.743849	+	1.02382i	0.998388	+	0.0567576i	$0.0180762\pi$
$829$	21.4172	+	29.4782i	0.743849	+	1.02382i	−0.254539	+	0.967062i	$0.581924\pi$
$830$	−17.9228	+	2.53894i	−0.622111	+	0.0881280i
$831$	6.19143	−	8.52177i	0.214778	−	0.295617i
$832$	3.25356	+	11.9843i	0.112797	+	0.415480i
$833$	19.8875	−	3.14987i	0.689061	−	0.109137i
$834$	17.1446	−	12.9341i	0.593668	−	0.447872i
$835$	37.3553	+	13.5731i	1.29273	+	0.469715i
$836$	−17.7547	+	13.9029i	−0.614059	+	0.480843i
$837$	0.579127	−	0.295080i	0.0200176	−	0.0101995i
$838$	−4.47028	+	31.9350i	−0.154423	+	1.10317i
$839$	−4.02938	−	12.4012i	−0.139110	−	0.428135i	0.857097	−	0.515155i	$-0.172266\pi$
$839$	−4.02938	−	12.4012i	−0.139110	−	0.428135i	−0.996207	+	0.0870197i	$0.972266\pi$
$840$	−20.1066	+	0.395128i	−0.693745	+	0.0136332i
$841$	8.21122	−	25.2715i	0.283146	−	0.871433i
$842$	11.9220	+	5.80663i	0.410859	+	0.200110i
$843$	−9.92564	−	9.92564i	−0.341857	−	0.341857i
$844$	1.77005	−	6.19858i	0.0609275	−	0.213364i
$845$	−21.4568	+	10.0198i	−0.738138	+	0.344692i
$846$	−7.66991	+	0.138094i	−0.263697	+	0.00474776i
$847$	−9.30030	+	58.7198i	−0.319562	+	2.01764i
$848$	−36.9299	+	8.61146i	−1.26818	+	0.295719i
$849$		−	0.848299i		−	0.0291136i
$850$	42.7558	+	16.3318i	1.46651	+	0.560176i
$851$		−	0.585111i		−	0.0200574i
$852$	5.40982	+	0.658209i	0.185337	+	0.0225499i
$853$	6.73285	−	42.5095i	0.230528	−	1.45550i	−0.552500	−	0.833513i	$-0.686326\pi$
$853$	6.73285	−	42.5095i	0.230528	−	1.45550i	0.783028	−	0.621986i	$-0.213674\pi$
$854$	0.555622	+	30.8600i	0.0190130	+	1.05601i
$855$	−0.566344	−	4.59171i	−0.0193686	−	0.157033i
$856$	41.9069	−	34.0500i	1.43235	−	1.16381i
$857$	−12.3955	−	12.3955i	−0.423424	−	0.423424i	0.462957	−	0.886381i	$-0.346788\pi$
$857$	−12.3955	−	12.3955i	−0.423424	−	0.423424i	−0.886381	+	0.462957i	$0.846788\pi$
$858$	−5.23827	+	10.7550i	−0.178832	+	0.367171i
$859$	12.9331	−	39.8041i	0.441272	−	1.35810i	−0.445248	−	0.895407i	$-0.646884\pi$
$859$	12.9331	−	39.8041i	0.441272	−	1.35810i	0.886520	−	0.462690i	$-0.153116\pi$
$860$	51.7501	+	16.7205i	1.76466	+	0.570164i
$861$	0.775273	+	2.38604i	0.0264212	+	0.0813161i
$862$	5.77689	+	0.808653i	0.196762	+	0.0275428i
$863$	14.9758	−	7.63054i	0.509781	−	0.259747i	−0.180127	−	0.983643i	$-0.557651\pi$
$863$	14.9758	−	7.63054i	0.509781	−	0.259747i	0.689908	+	0.723897i	$0.257651\pi$
$864$	5.20107	−	2.22460i	0.176944	−	0.0756826i
$865$	−6.76986	−	10.0249i	−0.230182	−	0.340856i
$866$	−5.89001	−	7.80738i	−0.200151	−	0.265306i
$867$	24.5893	−	3.89456i	0.835096	−	0.132266i
$868$	3.74813	+	1.74277i	0.127220	+	0.0591534i
$869$	−31.3391	+	43.1345i	−1.06311	+	1.46324i
$870$	4.42634	−	2.16489i	0.150067	−	0.0733965i
$871$	−1.77333	−	2.44078i	−0.0600870	−	0.0827026i
$872$	41.8873	+	18.5668i	1.41848	+	0.628750i
$873$	1.95877	+	0.998046i	0.0662945	+	0.0337787i
$874$	0.179335	+	0.125425i	0.00606611	+	0.00424257i
$875$	26.4584	+	23.7446i	0.894456	+	0.802715i
$876$	−4.96819	+	1.81446i	−0.167859	+	0.0613048i
$877$	6.23910	−	12.2449i	0.210679	−	0.413481i	−0.761350	−	0.648341i	$-0.775463\pi$
$877$	6.23910	−	12.2449i	0.210679	−	0.413481i	0.972029	+	0.234860i	$0.0754631\pi$
$878$	9.29125	−	9.63196i	0.313565	−	0.325063i
$879$	20.4331	−	14.8456i	0.689193	−	0.500728i
$880$	9.43168	+	47.8205i	0.317942	+	1.61203i
$881$	−10.4852	−	7.61795i	−0.353256	−	0.256655i	0.396978	−	0.917828i	$-0.370059\pi$
$881$	−10.4852	−	7.61795i	−0.353256	−	0.256655i	−0.750234	+	0.661173i	$0.770059\pi$
$882$	−4.33211	+	0.766322i	−0.145870	+	0.0258034i
$883$	6.36743	+	40.2024i	0.214281	+	1.35292i	0.826815	+	0.562474i	$0.190150\pi$
$883$	6.36743	+	40.2024i	0.214281	+	1.35292i	−0.612534	+	0.790444i	$0.709850\pi$
$884$	−0.723357	−	20.0816i	−0.0243291	−	0.675417i
$885$	−13.8083	+	9.32484i	−0.464162	+	0.313451i
$886$	7.96515	−	26.1041i	0.267594	−	0.876985i
$887$	9.44895	+	18.5446i	0.317265	+	0.622667i	0.993476	−	0.114040i	$-0.0363794\pi$
$887$	9.44895	+	18.5446i	0.317265	+	0.622667i	−0.676211	+	0.736708i	$0.736379\pi$
$888$	21.6363	−	4.63623i	0.726068	−	0.155582i
$889$	−44.0691	+	14.3189i	−1.47803	+	0.480241i
$890$	−17.0722	−	55.6224i	−0.572263	−	1.86447i
$891$	5.18278	+	1.68399i	0.173630	+	0.0564157i
$892$	9.48982	+	17.0758i	0.317743	+	0.571741i
$893$	7.93595	−	7.93595i	0.265566	−	0.265566i
$894$	21.0628	−	7.26546i	0.704447	−	0.242993i
$895$	32.8851	−	4.05606i	1.09923	−	0.135579i
$896$	31.5311	+	17.3198i	1.05338	+	0.578614i
$897$	0.114666	+	0.0181613i	0.00382859	+	0.000606390i
$898$	12.9770	−	6.90916i	0.433049	−	0.230562i
$899$	−1.01277			−0.0337777
$900$	−9.40441	−	3.39958i	−0.313480	−	0.113319i
$901$	61.3622			2.04427
$902$	5.36732	−	2.85764i	0.178712	−	0.0951490i
$903$	38.1919	+	6.04901i	1.27095	+	0.201298i
$904$	−14.2945	−	37.0559i	−0.475429	−	1.23246i
$905$	−1.67057	−	3.57744i	−0.0555317	−	0.118918i
$906$	−5.34269	+	1.84292i	−0.177499	+	0.0612269i
$907$	31.2772	−	31.2772i	1.03854	−	1.03854i	0.0393156	−	0.999227i	$-0.487482\pi$
$907$	31.2772	−	31.2772i	1.03854	−	1.03854i	0.999227	−	0.0393156i	$-0.0125178\pi$
$908$	1.24625	−	0.692601i	0.0413584	−	0.0229848i
$909$	14.9728	+	4.86495i	0.496616	+	0.161360i
$910$	5.06540	−	14.7636i	0.167916	−	0.489408i
$911$	−15.4616	+	5.02379i	−0.512267	+	0.166446i	−0.553733	−	0.832694i	$-0.686797\pi$
$911$	−15.4616	+	5.02379i	−0.512267	+	0.166446i	0.0414660	+	0.999140i	$0.486797\pi$
$912$	−3.21700	+	7.62532i	−0.106525	+	0.252500i
$913$	14.1620	+	27.7945i	0.468693	+	0.919862i
$914$	−11.4527	+	37.5339i	−0.378822	+	1.24151i
$915$	−5.24132	+	14.4250i	−0.173273	+	0.476875i
$916$	44.4925	−	1.60266i	1.47007	−	0.0529534i
$917$	−3.21421	−	20.2937i	−0.106142	−	0.670157i
$918$	−9.01383	+	1.59449i	−0.297501	+	0.0526260i
$919$	31.0526	+	22.5610i	1.02433	+	0.744219i	0.967166	−	0.254146i	$-0.0817943\pi$
$919$	31.0526	+	22.5610i	1.02433	+	0.744219i	0.0571637	+	0.998365i	$0.481794\pi$
$920$	0.417165	−	0.222987i	0.0137535	−	0.00735166i
$921$	−11.8850	+	8.63494i	−0.391623	+	0.284531i
$922$	5.05916	−	5.24467i	0.166614	−	0.172724i
$923$	−1.92024	+	3.76868i	−0.0632053	+	0.124047i
$924$	11.8889	+	32.5530i	0.391114	+	1.07092i
$925$	−33.5512	−	20.1096i	−1.10316	−	0.661200i
$926$	11.9144	+	8.33282i	0.391532	+	0.273834i
$927$	−6.43317	−	3.27786i	−0.211293	−	0.107659i
$928$	−8.79458	−	0.590706i	−0.288696	−	0.0193909i
$929$	−7.27019	−	10.0066i	−0.238527	−	0.328305i	0.672925	−	0.739711i	$-0.265038\pi$
$929$	−7.27019	−	10.0066i	−0.238527	−	0.328305i	−0.911452	+	0.411406i	$0.865038\pi$
$930$	1.42941	+	1.47695i	0.0468722	+	0.0484312i
$931$	3.78322	−	5.20716i	0.123990	−	0.170658i
$932$	−3.27307	+	7.03931i	−0.107213	+	0.230580i
$933$	3.42901	−	0.543101i	0.112261	−	0.0177803i
$934$	−20.2345	−	26.8214i	−0.662093	−	0.877624i
$935$	2.70945	−	78.8261i	0.0886083	−	2.57789i
$936$	0.237004	+	4.38405i	0.00774673	+	0.143297i
$937$	−11.7074	+	5.96523i	−0.382465	+	0.194876i	−0.634643	−	0.772805i	$-0.718853\pi$
$937$	−11.7074	+	5.96523i	−0.382465	+	0.194876i	0.252178	+	0.967681i	$0.418853\pi$
$938$	−8.65567	−	1.21163i	−0.282618	−	0.0395610i
$939$	−1.09193	−	3.36062i	−0.0356339	−	0.109670i
$940$	−7.53421	−	23.0587i	−0.245739	−	0.752091i
$941$	5.08958	−	15.6641i	0.165915	−	0.510635i	−0.833187	−	0.552991i	$-0.813486\pi$
$941$	5.08958	−	15.6641i	0.165915	−	0.510635i	0.999103	+	0.0423559i	$0.0134863\pi$
$942$	−7.03203	+	14.4379i	−0.229116	+	0.470413i
$943$	−0.0417268	−	0.0417268i	−0.00135881	−	0.00135881i
$944$	29.7286	−	2.14449i	0.967585	−	0.0697971i
$945$	−6.98025	−	1.35286i	−0.227068	−	0.0440084i
$946$	−1.68711	−	93.7042i	−0.0548526	−	3.04659i
$947$	4.73828	−	29.9163i	0.153973	−	0.972149i	−0.782815	−	0.622254i	$-0.786217\pi$
$947$	4.73828	−	29.9163i	0.153973	−	0.972149i	0.936789	−	0.349895i	$-0.113783\pi$
$948$	−2.36337	+	19.4245i	−0.0767587	+	0.630879i
$949$		−	4.10507i		−	0.133256i
$950$	13.3556	−	5.97265i	0.433314	−	0.193778i
$951$			29.9103i			0.969908i
$952$	−43.3252	−	38.8811i	−1.40418	−	1.26014i
$953$	−2.71039	+	17.1127i	−0.0877980	+	0.554335i	0.904102	+	0.427316i	$0.140541\pi$
$953$	−2.71039	+	17.1127i	−0.0877980	+	0.554335i	−0.991900	+	0.127019i	$0.959459\pi$
$954$	−13.4048	+	0.241348i	−0.433996	+	0.00781394i
$955$	13.6497	+	14.6214i	0.441693	+	0.473138i
$956$	−47.3857	−	13.5313i	−1.53256	−	0.437634i
$957$	−6.00425	−	6.00425i	−0.194090	−	0.194090i
$958$	−7.14391	−	3.47946i	−0.230809	−	0.112416i
$959$	−11.1192	+	34.2215i	−0.359059	+	1.10507i
$960$	11.5511	+	13.6591i	0.372811	+	0.440846i
$961$	9.44898	+	29.0810i	0.304806	+	0.938096i
$962$	−2.38079	+	17.0080i	−0.0767597	+	0.548359i
$963$	17.0098	−	8.66693i	0.548133	−	0.279288i
$964$	−14.0610	−	17.9565i	−0.452874	−	0.578341i
$965$	53.5806	−	15.3958i	1.72482	−	0.495607i
$966$	0.268490	−	0.202553i	0.00863853	−	0.00651704i
$967$	−18.5249	+	2.93406i	−0.595722	+	0.0943530i	−0.447012	−	0.894528i	$-0.647512\pi$
$967$	−18.5249	+	2.93406i	−0.595722	+	0.0943530i	−0.148709	+	0.988881i	$0.547512\pi$
$968$	45.7544	−	26.5170i	1.47060	−	0.852288i
$969$	7.87176	−	10.8346i	0.252877	−	0.348056i
$970$	−1.19967	+	6.84761i	−0.0385192	+	0.219863i
$971$	−31.5357	−	43.4052i	−1.01203	−	1.39294i	−0.917643	−	0.397405i	$-0.869911\pi$
$971$	−31.5357	−	43.4052i	−1.01203	−	1.39294i	−0.0943869	−	0.995536i	$-0.530089\pi$
$972$	1.96283	−	0.383775i	0.0629579	−	0.0123096i
$973$	43.0246	+	21.9221i	1.37931	+	0.702791i
$974$	−19.7514	+	28.2409i	−0.632874	+	0.904896i
$975$	4.98235	−	5.95096i	0.159563	−	0.190583i
$976$	20.9927	−	17.6938i	0.671961	−	0.566363i
$977$	−8.81280	+	17.2961i	−0.281946	+	0.553351i	−0.987934	−	0.154873i	$-0.950503\pi$
$977$	−8.81280	+	17.2961i	−0.281946	+	0.553351i	0.705988	+	0.708224i	$0.250503\pi$
$978$	7.50996	+	7.24431i	0.240142	+	0.231648i
$979$	−81.1173	+	58.9352i	−2.59252	+	1.88358i
$980$	−6.33633	−	12.3853i	−0.202407	−	0.395634i
$981$	13.1053	+	9.52155i	0.418420	+	0.304000i
$982$	7.53803	+	42.6134i	0.240548	+	1.35985i
$983$	−3.28130	−	20.7173i	−0.104657	−	0.660779i	−0.983119	−	0.182967i	$-0.941430\pi$
$983$	−3.28130	−	20.7173i	−0.104657	−	0.660779i	0.878462	−	0.477812i	$-0.158570\pi$
$984$	1.21235	−	1.87361i	0.0386483	−	0.0597285i
$985$	39.1434	+	30.5477i	1.24721	+	0.973330i
$986$	13.6423	+	4.16267i	0.434459	+	0.132566i
$987$	−7.83043	−	15.3681i	−0.249245	−	0.489172i
$988$	−4.70256	−	4.37556i	−0.149608	−	0.139205i
$989$	−0.865000	+	0.281055i	−0.0275054	+	0.00893704i
$990$	−0.281852	+	17.2305i	−0.00895784	+	0.547621i
$991$	36.7768	+	11.9495i	1.16825	+	0.379589i	0.827991	−	0.560742i	$-0.189484\pi$
$991$	36.7768	+	11.9495i	1.16825	+	0.379589i	0.340263	+	0.940330i	$0.389484\pi$
$992$	−0.899291	−	3.56511i	−0.0285525	−	0.113192i
$993$	−11.9255	+	11.9255i	−0.378443	+	0.378443i
$994$	3.99564	+	11.5835i	0.126734	+	0.367406i
$995$	−25.9766	−	14.3805i	−0.823513	−	0.455891i
$996$	9.49832	+	6.39153i	0.300966	+	0.202523i
$997$	0.948237	+	0.150186i	0.0300310	+	0.00475644i	0.171432	−	0.985196i	$-0.445161\pi$
$997$	0.948237	+	0.150186i	0.0300310	+	0.00475644i	−0.141401	+	0.989952i	$0.545161\pi$
$998$	−4.67971	−	8.78960i	−0.148134	−	0.278230i
$999$	7.82325			0.247517

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.w.a.67.11	✓	240
3.2	odd	2		900.2.bj.f.667.20		240
4.3	odd	2	inner	300.2.w.a.67.29	yes	240
12.11	even	2		900.2.bj.f.667.2		240
25.3	odd	20	inner	300.2.w.a.103.29	yes	240
75.53	even	20		900.2.bj.f.703.2		240
100.3	even	20	inner	300.2.w.a.103.11	yes	240
300.203	odd	20		900.2.bj.f.703.20		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.w.a.67.11	✓	240	1.1	even	1	trivial
300.2.w.a.67.29	yes	240	4.3	odd	2	inner
300.2.w.a.103.11	yes	240	100.3	even	20	inner
300.2.w.a.103.29	yes	240	25.3	odd	20	inner
900.2.bj.f.667.2		240	12.11	even	2
900.2.bj.f.667.20		240	3.2	odd	2
900.2.bj.f.703.2		240	75.53	even	20
900.2.bj.f.703.20		240	300.203	odd	20

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:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.w (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.664619 - 1.24831i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-1.11656 + 1.65930i) q^{4} +(-1.95630 - 1.08300i) q^{5} +(0.461157 + 1.33691i) q^{6} +(-2.24842 + 2.24842i) q^{7} +(2.81342 + 0.291015i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\)	\(q+(-0.664619 - 1.24831i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-1.11656 + 1.65930i) q^{4} +(-1.95630 - 1.08300i) q^{5} +(0.461157 + 1.33691i) q^{6} +(-2.24842 + 2.24842i) q^{7} +(2.81342 + 0.291015i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-0.0517207 + 3.16185i) q^{10} +(5.18278 - 1.68399i) q^{11} +(1.36239 - 1.46421i) q^{12} +(0.704711 + 1.38307i) q^{13} +(4.30108 + 1.31239i) q^{14} +(1.76280 + 1.37570i) q^{15} +(-1.50657 - 3.70543i) q^{16} +(1.01255 + 6.39301i) q^{17} +(-0.246341 - 1.39259i) q^{18} +(1.67389 + 1.21615i) q^{19} +(3.98135 - 2.03686i) q^{20} +(2.57247 - 1.86901i) q^{21} +(-5.54671 - 5.35051i) q^{22} +(-0.0339545 + 0.0666396i) q^{23} +(-2.73325 - 0.727547i) q^{24} +(2.65424 + 4.23734i) q^{25} +(1.25814 - 1.79892i) q^{26} +(-0.891007 - 0.453990i) q^{27} +(-1.22031 - 6.24133i) q^{28} +(0.915875 + 1.26059i) q^{29} +(0.545707 - 3.11484i) q^{30} +(-0.382042 + 0.525836i) q^{31} +(-3.62424 + 4.34337i) q^{32} +(-5.38240 + 0.852489i) q^{33} +(7.30750 - 5.51289i) q^{34} +(6.83363 - 1.96356i) q^{35} +(-1.57467 + 1.23305i) q^{36} +(-6.97057 + 3.55168i) q^{37} +(0.405637 - 2.89781i) q^{38} +(-0.479675 - 1.47629i) q^{39} +(-5.18873 - 3.61623i) q^{40} +(-0.243815 + 0.750387i) q^{41} +(-4.04282 - 1.96907i) q^{42} +(8.59891 + 8.59891i) q^{43} +(-2.99265 + 10.4801i) q^{44} +(-1.52589 - 1.63452i) q^{45} +(0.105754 - 0.00190406i) q^{46} +(0.848551 - 5.35754i) q^{47} +(0.908367 + 3.89549i) q^{48} -3.11082i q^{49} +(3.52546 - 6.12953i) q^{50} -6.47270i q^{51} +(-3.08179 - 0.374960i) q^{52} +(1.48302 - 9.36344i) q^{53} +(0.0254582 + 1.41398i) q^{54} +(-11.9628 - 2.31854i) q^{55} +(-6.98008 + 5.67143i) q^{56} +(-1.46303 - 1.46303i) q^{57} +(0.964906 - 1.98111i) q^{58} +(-2.30263 + 7.08677i) q^{59} +(-4.25097 + 1.38897i) q^{60} +(2.12100 + 6.52776i) q^{61} +(0.910320 + 0.127427i) q^{62} +(-2.83318 + 1.44358i) q^{63} +(7.83062 + 1.63749i) q^{64} +(0.119235 - 3.46891i) q^{65} +(4.64142 + 6.15233i) q^{66} +(-1.91967 + 0.304046i) q^{67} +(-11.7385 - 5.45806i) q^{68} +(0.0439612 - 0.0605074i) q^{69} +(-6.99290 - 7.22548i) q^{70} +(1.60163 + 2.20445i) q^{71} +(2.58579 + 1.14616i) q^{72} +(-2.35633 - 1.20061i) q^{73} +(9.06638 + 6.34092i) q^{74} +(-1.95870 - 4.60038i) q^{75} +(-3.88696 + 1.41958i) q^{76} +(-7.86676 + 15.4394i) q^{77} +(-1.52406 + 1.57995i) q^{78} +(-7.91533 + 5.75082i) q^{79} +(-1.06566 + 8.88056i) q^{80} +(0.809017 + 0.587785i) q^{81} +(1.09876 - 0.194364i) q^{82} +(0.895475 + 5.65381i) q^{83} +(0.228927 + 6.35538i) q^{84} +(4.94274 - 13.6032i) q^{85} +(5.01912 - 16.4491i) q^{86} +(-0.707399 - 1.38835i) q^{87} +(15.0714 - 3.22949i) q^{88} +(-17.4987 + 5.68568i) q^{89} +(-1.02626 + 2.99112i) q^{90} +(-4.69423 - 1.52525i) q^{91} +(-0.0726628 - 0.130748i) q^{92} +(0.459598 - 0.459598i) q^{93} +(-7.25185 + 2.50147i) q^{94} +(-1.95754 - 4.19197i) q^{95} +(4.25907 - 3.72294i) q^{96} +(2.17132 + 0.343903i) q^{97} +(-3.88328 + 2.06751i) q^{98} +5.44949 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q + 12 q^{8}+O(q^{10}) \) 240 * q + 12 * q^8	\( 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) \) 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Introduction

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