LMFDB - Embedded newform 260.2.o.a.183.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(27,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([2, 1, 0]))

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

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

chi := DirichletCharacter("260.27");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.o (of order $4$, degree $2$, 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:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$36$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			183.11
Character	$\chi$	$=$	260.183
Dual form			260.2.o.a.27.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.774482 + 1.18329i) q^{2} +(-2.05925 + 2.05925i) q^{3} +(-0.800354 - 1.83288i) q^{4} +(1.34695 - 1.78486i) q^{5} +(-0.841839 - 4.03155i) q^{6} +(-0.845670 - 0.845670i) q^{7} +(2.78869 + 0.472478i) q^{8} -5.48103i q^{9} +O(q^{10})$	\(q+(-0.774482 + 1.18329i) q^{2} +(-2.05925 + 2.05925i) q^{3} +(-0.800354 - 1.83288i) q^{4} +(1.34695 - 1.78486i) q^{5} +(-0.841839 - 4.03155i) q^{6} +(-0.845670 - 0.845670i) q^{7} +(2.78869 + 0.472478i) q^{8} -5.48103i q^{9} +(1.06882 + 2.97618i) q^{10} -4.19592i q^{11} +(5.42248 + 2.12622i) q^{12} +(-0.707107 - 0.707107i) q^{13} +(1.65563 - 0.345717i) q^{14} +(0.901767 + 6.44918i) q^{15} +(-2.71887 + 2.93390i) q^{16} +(-0.206069 + 0.206069i) q^{17} +(6.48565 + 4.24496i) q^{18} +4.84005 q^{19} +(-4.34946 - 1.04027i) q^{20} +3.48290 q^{21} +(4.96499 + 3.24967i) q^{22} +(-0.389358 + 0.389358i) q^{23} +(-6.71555 + 4.76965i) q^{24} +(-1.37145 - 4.80823i) q^{25} +(1.38435 - 0.289071i) q^{26} +(5.10906 + 5.10906i) q^{27} +(-0.873173 + 2.22684i) q^{28} +6.55621i q^{29} +(-8.32966 - 3.92773i) q^{30} -5.06902i q^{31} +(-1.36594 - 5.48946i) q^{32} +(8.64045 + 8.64045i) q^{33} +(-0.0842426 - 0.403436i) q^{34} +(-2.64848 + 0.370328i) q^{35} +(-10.0460 + 4.38677i) q^{36} +(8.49149 - 8.49149i) q^{37} +(-3.74853 + 5.72719i) q^{38} +2.91222 q^{39} +(4.59953 - 4.34101i) q^{40} -5.61170 q^{41} +(-2.69744 + 4.12128i) q^{42} +(3.25094 - 3.25094i) q^{43} +(-7.69060 + 3.35822i) q^{44} +(-9.78287 - 7.38267i) q^{45} +(-0.159173 - 0.762274i) q^{46} +(-8.91159 - 8.91159i) q^{47} +(-0.442809 - 11.6405i) q^{48} -5.56968i q^{49} +(6.75170 + 2.10107i) q^{50} -0.848694i q^{51} +(-0.730103 + 1.86197i) q^{52} +(0.0714058 + 0.0714058i) q^{53} +(-10.0024 + 2.08863i) q^{54} +(-7.48913 - 5.65169i) q^{55} +(-1.95875 - 2.75787i) q^{56} +(-9.96688 + 9.96688i) q^{57} +(-7.75790 - 5.07767i) q^{58} +10.9539 q^{59} +(11.0988 - 6.81446i) q^{60} -3.57989 q^{61} +(5.99812 + 3.92586i) q^{62} +(-4.63514 + 4.63514i) q^{63} +(7.55353 + 2.63518i) q^{64} +(-2.21452 + 0.309649i) q^{65} +(-16.9160 + 3.53229i) q^{66} +(6.95966 + 6.95966i) q^{67} +(0.542626 + 0.212770i) q^{68} -1.60357i q^{69} +(1.61299 - 3.42073i) q^{70} -4.61114i q^{71} +(2.58966 - 15.2849i) q^{72} +(2.57559 + 2.57559i) q^{73} +(3.47140 + 16.6244i) q^{74} +(12.7255 + 7.07720i) q^{75} +(-3.87376 - 8.87121i) q^{76} +(-3.54836 + 3.54836i) q^{77} +(-2.25546 + 3.44600i) q^{78} -2.19111 q^{79} +(1.57442 + 8.80461i) q^{80} -4.59860 q^{81} +(4.34616 - 6.64027i) q^{82} +(-11.1906 + 11.1906i) q^{83} +(-2.78755 - 6.38371i) q^{84} +(0.0902396 + 0.645368i) q^{85} +(1.32901 + 6.36460i) q^{86} +(-13.5009 - 13.5009i) q^{87} +(1.98248 - 11.7011i) q^{88} +15.0102i q^{89} +(16.3125 - 5.85823i) q^{90} +1.19596i q^{91} +(1.02527 + 0.402020i) q^{92} +(10.4384 + 10.4384i) q^{93} +(17.4469 - 3.64313i) q^{94} +(6.51931 - 8.63882i) q^{95} +(14.1170 + 8.49136i) q^{96} +(-5.51024 + 5.51024i) q^{97} +(6.59056 + 4.31362i) q^{98} -22.9980 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) $ 72 * q - 8 * q^6 - 12 * q^8	$ 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) $ 72 * q - 8 * q^6 - 12 * q^8 - 8 * q^10 - 8 * q^12 - 8 * q^16 + 28 * q^18 - 16 * q^21 - 8 * q^22 - 20 * q^28 - 32 * q^30 - 40 * q^32 + 16 * q^33 + 32 * q^36 - 12 * q^38 - 8 * q^40 - 40 * q^42 - 8 * q^46 + 60 * q^48 + 40 * q^50 + 8 * q^52 - 48 * q^53 + 8 * q^56 - 60 * q^58 + 20 * q^60 - 64 * q^61 + 60 * q^62 + 8 * q^66 - 16 * q^68 - 60 * q^70 + 40 * q^72 - 16 * q^73 - 72 * q^76 + 48 * q^77 - 20 * q^80 + 8 * q^81 - 12 * q^82 + 48 * q^85 + 48 * q^86 + 12 * q^88 + 44 * q^90 - 36 * q^92 + 16 * q^93 + 32 * q^96 - 80 * q^97 - 32 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$1$	$-1$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−0.774482	+	1.18329i	−0.547642	+	0.836713i
$2$	−0.774482	+	1.18329i	−0.547642	+	0.836713i
$3$	−2.05925	+	2.05925i	−1.18891	+	1.18891i	−0.211540	+	0.977369i	$0.567848\pi$
$3$	−2.05925	+	2.05925i	−1.18891	+	1.18891i	−0.977369	+	0.211540i	$0.932152\pi$
$4$	−0.800354	−	1.83288i	−0.400177	−	0.916438i
$5$	1.34695	−	1.78486i	0.602374	−	0.798214i
$5$	1.34695	−	1.78486i	0.602374	−	0.798214i
$6$	−0.841839	−	4.03155i	−0.343679	−	1.64587i
$7$	−0.845670	−	0.845670i	−0.319633	−	0.319633i	0.528993	−	0.848626i	$-0.322570\pi$
$7$	−0.845670	−	0.845670i	−0.319633	−	0.319633i	−0.848626	+	0.528993i	$0.822570\pi$
$8$	2.78869	+	0.472478i	0.985949	+	0.167046i
$9$		−	5.48103i		−	1.82701i
$10$	1.06882	+	2.97618i	0.337990	+	0.941150i
$11$		−	4.19592i		−	1.26512i	−0.774512	−	0.632559i	$-0.782005\pi$
$11$		−	4.19592i		−	1.26512i	0.774512	−	0.632559i	$-0.217995\pi$
$12$	5.42248	+	2.12622i	1.56534	+	0.613787i
$13$	−0.707107	−	0.707107i	−0.196116	−	0.196116i
$13$	−0.707107	−	0.707107i	−0.196116	−	0.196116i
$14$	1.65563	−	0.345717i	0.442486	−	0.0923968i
$15$	0.901767	+	6.44918i	0.232835	+	1.66517i
$16$	−2.71887	+	2.93390i	−0.679716	+	0.733475i
$17$	−0.206069	+	0.206069i	−0.0499790	+	0.0499790i	−0.731655	−	0.681676i	$-0.761252\pi$
$17$	−0.206069	+	0.206069i	−0.0499790	+	0.0499790i	0.681676	+	0.731655i	$0.261252\pi$
$18$	6.48565	+	4.24496i	1.52868	+	1.00055i
$19$	4.84005			1.11038			0.555192	−	0.831722i	$-0.312645\pi$
$19$	4.84005			1.11038			0.555192	+	0.831722i	$0.312645\pi$
$20$	−4.34946	−	1.04027i	−0.972570	−	0.232612i
$21$	3.48290			0.760030
$22$	4.96499	+	3.24967i	1.05854	+	0.692831i
$23$	−0.389358	+	0.389358i	−0.0811867	+	0.0811867i	−0.746534	−	0.665347i	$-0.768283\pi$
$23$	−0.389358	+	0.389358i	−0.0811867	+	0.0811867i	0.665347	+	0.746534i	$0.268283\pi$
$24$	−6.71555	+	4.76965i	−1.37081	+	0.973601i
$25$	−1.37145	−	4.80823i	−0.274290	−	0.961647i
$26$	1.38435	−	0.289071i	0.271494	−	0.0566915i
$27$	5.10906	+	5.10906i	0.983240	+	0.983240i
$28$	−0.873173	+	2.22684i	−0.165014	+	0.420834i
$29$			6.55621i			1.21746i	0.793379	+	0.608728i	$0.208320\pi$
$29$			6.55621i			1.21746i	−0.793379	+	0.608728i	$0.791680\pi$
$30$	−8.32966	−	3.92773i	−1.52078	−	0.717101i
$31$		−	5.06902i		−	0.910423i	−0.890383	−	0.455211i	$-0.849564\pi$
$31$		−	5.06902i		−	0.910423i	0.890383	−	0.455211i	$-0.150436\pi$
$32$	−1.36594	−	5.48946i	−0.241467	−	0.970409i
$33$	8.64045	+	8.64045i	1.50411	+	1.50411i
$34$	−0.0842426	−	0.403436i	−0.0144475	−	0.0691887i
$35$	−2.64848	+	0.370328i	−0.447675	+	0.0625968i
$36$	−10.0460	+	4.38677i	−1.67434	+	0.731128i
$37$	8.49149	−	8.49149i	1.39599	−	1.39599i	0.584856	−	0.811137i	$-0.301151\pi$
$37$	8.49149	−	8.49149i	1.39599	−	1.39599i	0.811137	−	0.584856i	$-0.198849\pi$
$38$	−3.74853	+	5.72719i	−0.608093	+	0.929073i
$39$	2.91222			0.466329
$40$	4.59953	−	4.34101i	0.727249	−	0.686374i
$41$	−5.61170			−0.876400			−0.438200	−	0.898877i	$-0.644384\pi$
$41$	−5.61170			−0.876400			−0.438200	+	0.898877i	$0.644384\pi$
$42$	−2.69744	+	4.12128i	−0.416224	+	0.635927i
$43$	3.25094	−	3.25094i	0.495763	−	0.495763i	−0.414353	−	0.910116i	$-0.635992\pi$
$43$	3.25094	−	3.25094i	0.495763	−	0.495763i	0.910116	+	0.414353i	$0.135992\pi$
$44$	−7.69060	+	3.35822i	−1.15940	+	0.506271i
$45$	−9.78287	−	7.38267i	−1.45834	−	1.10054i
$46$	−0.159173	−	0.762274i	−0.0234687	−	0.112391i
$47$	−8.91159	−	8.91159i	−1.29989	−	1.29989i	−0.928462	−	0.371427i	$-0.878869\pi$
$47$	−8.91159	−	8.91159i	−1.29989	−	1.29989i	−0.371427	−	0.928462i	$-0.621131\pi$
$48$	−0.442809	−	11.6405i	−0.0639140	−	1.68016i
$49$		−	5.56968i		−	0.795669i
$50$	6.75170	+	2.10107i	0.954835	+	0.297136i
$51$		−	0.848694i		−	0.118841i
$52$	−0.730103	+	1.86197i	−0.101247	+	0.258209i
$53$	0.0714058	+	0.0714058i	0.00980834	+	0.00980834i	0.711994	−	0.702186i	$-0.247792\pi$
$53$	0.0714058	+	0.0714058i	0.00980834	+	0.00980834i	−0.702186	+	0.711994i	$0.747792\pi$
$54$	−10.0024	+	2.08863i	−1.36115	+	0.284226i
$55$	−7.48913	−	5.65169i	−1.00983	−	0.762074i
$56$	−1.95875	−	2.75787i	−0.261749	−	0.368536i
$57$	−9.96688	+	9.96688i	−1.32015	+	1.32015i
$58$	−7.75790	−	5.07767i	−1.01866	−	0.666730i
$59$	10.9539			1.42608			0.713038	−	0.701125i	$-0.247319\pi$
$59$	10.9539			1.42608			0.713038	+	0.701125i	$0.247319\pi$
$60$	11.0988	−	6.81446i	1.43285	−	0.879743i
$61$	−3.57989			−0.458357			−0.229179	−	0.973384i	$-0.573604\pi$
$61$	−3.57989			−0.458357			−0.229179	+	0.973384i	$0.573604\pi$
$62$	5.99812	+	3.92586i	0.761762	+	0.498585i
$63$	−4.63514	+	4.63514i	−0.583973	+	0.583973i
$64$	7.55353	+	2.63518i	0.944191	+	0.329398i
$65$	−2.21452	+	0.309649i	−0.274678	+	0.0384073i
$66$	−16.9160	+	3.53229i	−2.08222	+	0.434795i
$67$	6.95966	+	6.95966i	0.850258	+	0.850258i	0.990165	−	0.139907i	$-0.0446802\pi$
$67$	6.95966	+	6.95966i	0.850258	+	0.850258i	−0.139907	+	0.990165i	$0.544680\pi$
$68$	0.542626	+	0.212770i	0.0658031	+	0.0258022i
$69$		−	1.60357i		−	0.193047i
$70$	1.61299	−	3.42073i	0.192790	−	0.408856i
$71$		−	4.61114i		−	0.547241i	−0.961838	−	0.273621i	$-0.911779\pi$
$71$		−	4.61114i		−	0.547241i	0.961838	−	0.273621i	$-0.0882213\pi$
$72$	2.58966	−	15.2849i	0.305195	−	1.80134i
$73$	2.57559	+	2.57559i	0.301450	+	0.301450i	0.841581	−	0.540131i	$-0.181625\pi$
$73$	2.57559	+	2.57559i	0.301450	+	0.301450i	−0.540131	+	0.841581i	$0.681625\pi$
$74$	3.47140	+	16.6244i	0.403541	+	1.93255i
$75$	12.7255	+	7.07720i	1.46942	+	0.817205i
$76$	−3.87376	−	8.87121i	−0.444350	−	1.01760i
$77$	−3.54836	+	3.54836i	−0.404374	+	0.404374i
$78$	−2.25546	+	3.44600i	−0.255381	+	0.390183i
$79$	−2.19111			−0.246519			−0.123259	−	0.992374i	$-0.539335\pi$
$79$	−2.19111			−0.246519			−0.123259	+	0.992374i	$0.539335\pi$
$80$	1.57442	+	8.80461i	0.176026	+	0.984386i
$81$	−4.59860			−0.510955
$82$	4.34616	−	6.64027i	0.479953	−	0.733295i
$83$	−11.1906	+	11.1906i	−1.22832	+	1.22832i	−0.263725	+	0.964598i	$0.584951\pi$
$83$	−11.1906	+	11.1906i	−1.22832	+	1.22832i	−0.964598	+	0.263725i	$0.915049\pi$
$84$	−2.78755	−	6.38371i	−0.304147	−	0.696520i
$85$	0.0902396	+	0.645368i	0.00978785	+	0.0700000i
$86$	1.32901	+	6.36460i	0.143311	+	0.686312i
$87$	−13.5009	−	13.5009i	−1.44745	−	1.44745i
$88$	1.98248	−	11.7011i	0.211333	−	1.24734i
$89$			15.0102i			1.59108i	0.605902	+	0.795540i	$0.292812\pi$
$89$			15.0102i			1.59108i	−0.605902	+	0.795540i	$0.707188\pi$
$90$	16.3125	−	5.85823i	1.71949	−	0.617512i
$91$			1.19596i			0.125371i
$92$	1.02527	+	0.402020i	0.106892	+	0.0419135i
$93$	10.4384	+	10.4384i	1.08241	+	1.08241i
$94$	17.4469	−	3.64313i	1.79951	−	0.375761i
$95$	6.51931	−	8.63882i	0.668867	−	0.886324i
$96$	14.1170	+	8.49136i	1.44081	+	0.866646i
$97$	−5.51024	+	5.51024i	−0.559480	+	0.559480i	−0.929159	−	0.369680i	$-0.879467\pi$
$97$	−5.51024	+	5.51024i	−0.559480	+	0.559480i	0.369680	+	0.929159i	$0.379467\pi$
$98$	6.59056	+	4.31362i	0.665747	+	0.435742i
$99$	−22.9980			−2.31138
$100$	−7.71525	+	6.36199i	−0.771525	+	0.636199i
$101$	6.35464			0.632310			0.316155	−	0.948708i	$-0.397608\pi$
$101$	6.35464			0.632310			0.316155	+	0.948708i	$0.397608\pi$
$102$	1.00425	+	0.657299i	0.0994358	+	0.0650823i
$103$	−2.93721	+	2.93721i	−0.289412	+	0.289412i	−0.836848	−	0.547436i	$-0.815604\pi$
$103$	−2.93721	+	2.93721i	−0.289412	+	0.289412i	0.547436	+	0.836848i	$0.315604\pi$
$104$	−1.63781	−	2.30599i	−0.160600	−	0.226121i
$105$	4.69129	−	6.21648i	0.457823	−	0.606666i
$106$	−0.139796	+	0.0291913i	−0.0135782	+	0.00283531i
$107$	−5.50848	−	5.50848i	−0.532525	−	0.532525i	0.388798	−	0.921323i	$-0.372890\pi$
$107$	−5.50848	−	5.50848i	−0.532525	−	0.532525i	−0.921323	+	0.388798i	$0.872890\pi$
$108$	5.27522	−	13.4533i	0.507608	−	1.29455i
$109$		−	8.20270i		−	0.785676i	−0.919608	−	0.392838i	$-0.871493\pi$
$109$		−	8.20270i		−	0.785676i	0.919608	−	0.392838i	$-0.128507\pi$
$110$	12.4878	−	4.48468i	1.19066	−	0.427598i
$111$			34.9722i			3.31942i
$112$	4.78038	−	0.181848i	0.451703	−	0.0171830i
$113$	−6.21691	−	6.21691i	−0.584838	−	0.584838i	0.351391	−	0.936229i	$-0.385709\pi$
$113$	−6.21691	−	6.21691i	−0.584838	−	0.584838i	−0.936229	+	0.351391i	$0.885709\pi$
$114$	−4.07455	−	19.5129i	−0.381616	−	1.82755i
$115$	0.170504	+	1.21939i	0.0158995	+	0.113709i
$116$	12.0167	−	5.24729i	1.11572	−	0.487198i
$117$	−3.87567	+	3.87567i	−0.358306	+	0.358306i
$118$	−8.48360	+	12.9617i	−0.780979	+	1.19322i
$119$	0.348532			0.0319499
$120$	−0.532352	+	18.4108i	−0.0485969	+	1.68067i
$121$	−6.60574			−0.600522
$122$	2.77256	−	4.23605i	0.251016	−	0.383514i
$123$	11.5559	−	11.5559i	1.04196	−	1.04196i
$124$	−9.29088	+	4.05701i	−0.834346	+	0.364330i
$125$	−10.4293	−	4.02860i	−0.932825	−	0.360329i
$126$	−1.89489	−	9.07456i	−0.168810	−	0.808426i
$127$	−6.13573	−	6.13573i	−0.544458	−	0.544458i	0.380375	−	0.924832i	$-0.375795\pi$
$127$	−6.13573	−	6.13573i	−0.544458	−	0.544458i	−0.924832	+	0.380375i	$0.875795\pi$
$128$	−8.96826	+	6.89712i	−0.792690	+	0.609625i
$129$			13.3890i			1.17884i
$130$	1.34870	−	2.86024i	0.118289	−	0.250860i
$131$		−	2.46129i		−	0.215043i	−0.994203	−	0.107522i	$-0.965708\pi$
$131$		−	2.46129i		−	0.215043i	0.994203	−	0.107522i	$-0.0342915\pi$
$132$	8.92145	−	22.7523i	0.776513	−	1.98033i
$133$	−4.09309	−	4.09309i	−0.354916	−	0.354916i
$134$	−13.6254	+	2.84517i	−1.17706	+	0.245785i
$135$	16.0006	−	2.23731i	1.37711	−	0.192557i
$136$	−0.672024	+	0.477298i	−0.0576256	+	0.0409280i
$137$	−1.04589	+	1.04589i	−0.0893561	+	0.0893561i	−0.750372	−	0.661016i	$-0.770126\pi$
$137$	−1.04589	+	1.04589i	−0.0893561	+	0.0893561i	0.661016	+	0.750372i	$0.270126\pi$
$138$	1.89749	+	1.24194i	0.161525	+	0.105721i
$139$	4.32728			0.367035			0.183517	−	0.983016i	$-0.441252\pi$
$139$	4.32728			0.367035			0.183517	+	0.983016i	$0.441252\pi$
$140$	2.79849	+	4.55794i	0.236515	+	0.385216i
$141$	36.7024			3.09090
$142$	5.45632	+	3.57124i	0.457884	+	0.299692i
$143$	−2.96696	+	2.96696i	−0.248110	+	0.248110i
$144$	16.0808	+	14.9022i	1.34007	+	1.24185i
$145$	11.7019	+	8.83088i	0.971791	+	0.733365i
$146$	−5.04243	+	1.05292i	−0.417314	+	0.0871406i
$147$	11.4694	+	11.4694i	0.945978	+	0.945978i
$148$	−22.3601	−	8.76765i	−1.83799	−	0.720696i
$149$			0.356765i			0.0292274i	0.999893	+	0.0146137i	$0.00465185\pi$
$149$			0.356765i			0.0292274i	−0.999893	+	0.0146137i	$0.995348\pi$
$150$	−18.2301	+	9.57683i	−1.48848	+	0.781945i
$151$		−	1.46387i		−	0.119128i	−0.998224	−	0.0595642i	$-0.981029\pi$
$151$		−	1.46387i		−	0.119128i	0.998224	−	0.0595642i	$-0.0189711\pi$
$152$	13.4974	+	2.28682i	1.09478	+	0.185485i
$153$	1.12947	+	1.12947i	0.0913121	+	0.0913121i
$154$	−1.45060	−	6.94689i	−0.116893	−	0.559797i
$155$	−9.04749	−	6.82771i	−0.726712	−	0.548415i
$156$	−2.33081	−	5.33774i	−0.186614	−	0.427361i
$157$	1.76334	−	1.76334i	0.140730	−	0.140730i	−0.633232	−	0.773962i	$-0.718272\pi$
$157$	1.76334	−	1.76334i	0.140730	−	0.140730i	0.773962	+	0.633232i	$0.218272\pi$
$158$	1.69697	−	2.59272i	0.135004	−	0.206265i
$159$	−0.294085			−0.0233225
$160$	−11.6378	−	4.95601i	−0.920047	−	0.391807i
$161$	0.658536			0.0518999
$162$	3.56153	−	5.44148i	0.279821	−	0.427523i
$163$	11.1949	−	11.1949i	0.876851	−	0.876851i	−0.116357	−	0.993207i	$-0.537122\pi$
$163$	11.1949	−	11.1949i	0.876851	−	0.876851i	0.993207	+	0.116357i	$0.0371216\pi$
$164$	4.49135	+	10.2855i	0.350715	+	0.803166i
$165$	27.0603	−	3.78374i	2.10664	−	0.294564i
$166$	−4.57479	−	21.9086i	−0.355073	−	1.70043i
$167$	15.3618	+	15.3618i	1.18873	+	1.18873i	0.977418	+	0.211315i	$0.0677745\pi$
$167$	15.3618	+	15.3618i	1.18873	+	1.18873i	0.211315	+	0.977418i	$0.432226\pi$
$168$	9.71270	+	1.64559i	0.749351	+	0.126960i
$169$			1.00000i			0.0769231i
$170$	−0.833547	−	0.393047i	−0.0639301	−	0.0301453i
$171$		−	26.5285i		−	2.02868i
$172$	−8.56047	−	3.35666i	−0.652730	−	0.255943i
$173$	−7.09724	−	7.09724i	−0.539593	−	0.539593i	0.383816	−	0.923410i	$-0.374610\pi$
$173$	−7.09724	−	7.09724i	−0.539593	−	0.539593i	−0.923410	+	0.383816i	$0.874610\pi$
$174$	26.4316	−	5.51927i	2.00378	−	0.418415i
$175$	−2.90639	+	5.22598i	−0.219702	+	0.395047i
$176$	12.3104	+	11.4081i	0.927932	+	0.859921i
$177$	−22.5568	+	22.5568i	−1.69548	+	1.69548i
$178$	−17.7614	−	11.6251i	−1.33128	−	0.871341i
$179$	−12.1671			−0.909411			−0.454705	−	0.890642i	$-0.650255\pi$
$179$	−12.1671			−0.909411			−0.454705	+	0.890642i	$0.650255\pi$
$180$	−5.70176	+	23.8395i	−0.424984	+	1.77689i
$181$	13.0663			0.971209			0.485605	−	0.874179i	$-0.338599\pi$
$181$	13.0663			0.971209			0.485605	+	0.874179i	$0.338599\pi$
$182$	−1.41517	−	0.926249i	−0.104899	−	0.0686581i
$183$	7.37188	−	7.37188i	0.544945	−	0.544945i
$184$	−1.26976	+	0.901833i	−0.0936078	+	0.0664840i
$185$	−3.71851	−	26.5937i	−0.273390	−	1.95521i
$186$	−20.4360	+	4.26730i	−1.49844	+	0.312894i
$187$	0.864648	+	0.864648i	0.0632293	+	0.0632293i
$188$	−9.20141	+	23.4663i	−0.671082	+	1.71145i
$189$		−	8.64117i		−	0.628552i
$190$	5.17314	+	14.4048i	0.375299	+	1.04504i
$191$			13.9391i			1.00860i	0.863529	+	0.504300i	$0.168249\pi$
$191$			13.9391i			1.00860i	−0.863529	+	0.504300i	$0.831751\pi$
$192$	−20.9811	+	10.1281i	−1.51418	+	0.730933i
$193$	4.56547	+	4.56547i	0.328630	+	0.328630i	0.852065	−	0.523435i	$-0.175350\pi$
$193$	4.56547	+	4.56547i	0.328630	+	0.328630i	−0.523435	+	0.852065i	$0.675350\pi$
$194$	−2.25263	−	10.7878i	−0.161729	−	0.774518i
$195$	3.92262	−	5.19791i	0.280904	−	0.372230i
$196$	−10.2085	+	4.45772i	−0.729181	+	0.318409i
$197$	−13.4201	+	13.4201i	−0.956144	+	0.956144i	−0.999078	−	0.0429337i	$-0.986330\pi$
$197$	−13.4201	+	13.4201i	−0.956144	+	0.956144i	0.0429337	+	0.999078i	$0.486330\pi$
$198$	17.8115	−	27.2133i	1.26581	−	1.93396i
$199$	8.20575			0.581690			0.290845	−	0.956770i	$-0.406064\pi$
$199$	8.20575			0.581690			0.290845	+	0.956770i	$0.406064\pi$
$200$	−1.55276	−	14.0566i	−0.109797	−	0.993954i
$201$	−28.6634			−2.02176
$202$	−4.92156	+	7.51939i	−0.346279	+	0.529062i
$203$	5.54439	−	5.54439i	0.389140	−	0.389140i
$204$	−1.55555	+	0.679256i	−0.108910	+	0.0475575i
$205$	−7.55868	+	10.0161i	−0.527921	+	0.699555i
$206$	−1.20076	−	5.75040i	−0.0836608	−	0.400649i
$207$	2.13408	+	2.13408i	0.148329	+	0.148329i
$208$	3.99711	−	0.152052i	0.277150	−	0.0105429i
$209$		−	20.3085i		−	1.40477i
$210$	3.72259	+	10.3657i	0.256883	+	0.715302i
$211$			9.25421i			0.637086i	0.947908	+	0.318543i	$0.103194\pi$
$211$			9.25421i			0.637086i	−0.947908	+	0.318543i	$0.896806\pi$
$212$	0.0737280	−	0.188028i	0.00506366	−	0.0129138i
$213$	9.49549	+	9.49549i	0.650620	+	0.650620i
$214$	10.7843	−	2.25191i	0.737203	−	0.153938i
$215$	−1.42362	−	10.1813i	−0.0970900	−	0.694360i
$216$	11.8337	+	16.6615i	0.805178	+	1.13367i
$217$	−4.28672	+	4.28672i	−0.291001	+	0.291001i
$218$	9.70618	+	6.35285i	0.657385	+	0.430269i
$219$	−10.6076			−0.716794
$220$	−4.36490	+	18.2500i	−0.294281	+	1.23041i
$221$	0.291425			0.0196034
$222$	−41.3823	−	27.0854i	−2.77740	−	1.81785i
$223$	0.454255	−	0.454255i	0.0304191	−	0.0304191i	−0.691734	−	0.722153i	$-0.743153\pi$
$223$	0.454255	−	0.454255i	0.0304191	−	0.0304191i	0.722153	+	0.691734i	$0.243153\pi$
$224$	−3.48714	+	5.79741i	−0.232994	+	0.387356i
$225$	−26.3541	+	7.51696i	−1.75694	+	0.501131i
$226$	12.1713	−	2.54153i	0.809623	−	0.169060i
$227$	17.6950	+	17.6950i	1.17446	+	1.17446i	0.981134	+	0.193327i	$0.0619279\pi$
$227$	17.6950	+	17.6950i	1.17446	+	1.17446i	0.193327	+	0.981134i	$0.438072\pi$
$228$	26.2451	+	10.2910i	1.73812	+	0.681539i
$229$			2.81751i			0.186186i	0.995657	+	0.0930932i	$0.0296755\pi$
$229$			2.81751i			0.186186i	−0.995657	+	0.0930932i	$0.970325\pi$
$230$	−1.57495	−	0.742644i	−0.103849	−	0.0489685i
$231$		−	14.6139i		−	0.961527i
$232$	−3.09766	+	18.2832i	−0.203371	+	1.20035i
$233$	−11.0313	−	11.0313i	−0.722685	−	0.722685i	0.246466	−	0.969151i	$-0.420731\pi$
$233$	−11.0313	−	11.0313i	−0.722685	−	0.722685i	−0.969151	+	0.246466i	$0.920731\pi$
$234$	−1.58441	−	7.58769i	−0.103576	−	0.496023i
$235$	−27.9094	+	3.90248i	−1.82061	+	0.254569i
$236$	−8.76700	−	20.0771i	−0.570683	−	1.30691i
$237$	4.51204	−	4.51204i	0.293088	−	0.293088i
$238$	−0.269932	+	0.412415i	−0.0174971	+	0.0267329i
$239$	−0.438609			−0.0283713			−0.0141856	−	0.999899i	$-0.504516\pi$
$239$	−0.438609			−0.0283713			−0.0141856	+	0.999899i	$0.504516\pi$
$240$	−21.3730	−	14.8888i	−1.37962	−	0.961066i
$241$	−6.48281			−0.417594			−0.208797	−	0.977959i	$-0.566955\pi$
$241$	−6.48281			−0.417594			−0.208797	+	0.977959i	$0.566955\pi$
$242$	5.11603	−	7.81652i	0.328871	−	0.502465i
$243$	−5.85752	+	5.85752i	−0.375760	+	0.375760i
$244$	2.86518	+	6.56148i	0.183424	+	0.420056i
$245$	−9.94111	−	7.50209i	−0.635114	−	0.479291i
$246$	4.72415	+	22.6238i	0.301201	+	1.44244i
$247$	−3.42243	−	3.42243i	−0.217764	−	0.217764i
$248$	2.39500	−	14.1359i	0.152083	−	0.897630i
$249$		−	46.0883i		−	2.92073i
$250$	12.8443	−	9.22082i	0.812346	−	0.583176i
$251$			17.3721i			1.09652i	0.836309	+	0.548259i	$0.184709\pi$
$251$			17.3721i			1.09652i	−0.836309	+	0.548259i	$0.815291\pi$
$252$	12.2054	+	4.78589i	0.768868	+	0.301482i
$253$	1.63371	+	1.63371i	0.102711	+	0.102711i
$254$	12.0124	−	2.50834i	0.753722	−	0.157387i
$255$	−1.51480	−	1.14315i	−0.0948605	−	0.0715868i
$256$	−1.21554	−	15.9538i	−0.0759710	−	0.997110i
$257$	12.8863	−	12.8863i	0.803824	−	0.803824i	−0.179867	−	0.983691i	$-0.557567\pi$
$257$	12.8863	−	12.8863i	0.803824	−	0.803824i	0.983691	+	0.179867i	$0.0575666\pi$
$258$	−15.8431	−	10.3695i	−0.986347	−	0.645579i
$259$	−14.3620			−0.892412
$260$	2.33995	+	3.81112i	0.145118	+	0.236356i
$261$	35.9348			2.22431
$262$	2.91242	+	1.90622i	0.179930	+	0.117767i
$263$	17.7105	−	17.7105i	1.09208	−	1.09208i	0.0967688	−	0.995307i	$-0.469149\pi$
$263$	17.7105	−	17.7105i	1.09208	−	1.09208i	0.995307	−	0.0967688i	$-0.0308507\pi$
$264$	20.0131	+	28.1779i	1.23172	+	1.73423i
$265$	0.223629	−	0.0312693i	0.0137374	−	0.00192086i
$266$	8.01334	−	1.67329i	0.491329	−	0.102596i
$267$	−30.9098	−	30.9098i	−1.89165	−	1.89165i
$268$	7.18600	−	18.3264i	0.438955	−	1.11946i
$269$		−	9.90226i		−	0.603752i	−0.953347	−	0.301876i	$-0.902387\pi$
$269$		−	9.90226i		−	0.603752i	0.953347	−	0.301876i	$-0.0976128\pi$
$270$	−9.74481	+	20.6661i	−0.593050	+	1.25770i
$271$			23.2048i			1.40959i	0.709409	+	0.704797i	$0.248962\pi$
$271$			23.2048i			1.40959i	−0.709409	+	0.704797i	$0.751038\pi$
$272$	−0.0443118	−	1.16486i	−0.00268680	−	0.0706299i
$273$	−2.46278	−	2.46278i	−0.149054	−	0.149054i
$274$	−0.427567	−	2.04761i	−0.0258303	−	0.123701i
$275$	−20.1750	+	5.75450i	−1.21660	+	0.347009i
$276$	−2.93914	+	1.28342i	−0.176916	+	0.0772530i
$277$	14.8259	−	14.8259i	0.890802	−	0.890802i	−0.103797	−	0.994599i	$-0.533099\pi$
$277$	14.8259	−	14.8259i	0.890802	−	0.890802i	0.994599	+	0.103797i	$0.0330992\pi$
$278$	−3.35140	+	5.12043i	−0.201004	+	0.307103i
$279$	−27.7834			−1.66335
$280$	−7.56075	−	0.218620i	−0.451841	−	0.0130651i
$281$	−0.130168			−0.00776516			−0.00388258	−	0.999992i	$-0.501236\pi$
$281$	−0.130168			−0.00776516			−0.00388258	+	0.999992i	$0.501236\pi$
$282$	−28.4254	+	43.4296i	−1.69271	+	2.58620i
$283$	−10.2040	+	10.2040i	−0.606564	+	0.606564i	−0.942047	−	0.335482i	$-0.891101\pi$
$283$	−10.2040	+	10.2040i	−0.606564	+	0.606564i	0.335482	+	0.942047i	$0.391101\pi$
$284$	−8.45164	+	3.69054i	−0.501513	+	0.218994i
$285$	4.36460	+	31.2144i	0.258536	+	1.84898i
$286$	−1.21292	−	5.80864i	−0.0717215	−	0.343472i
$287$	4.74565	+	4.74565i	0.280127	+	0.280127i
$288$	−30.0879	+	7.48678i	−1.77295	+	0.441163i
$289$			16.9151i			0.995004i
$290$	−19.5124	+	7.00740i	−1.14581	+	0.411489i
$291$		−	22.6939i		−	1.33034i
$292$	2.65935	−	6.78213i	0.155627	−	0.396894i
$293$	11.9053	+	11.9053i	0.695514	+	0.695514i	0.963440	−	0.267926i	$-0.0863382\pi$
$293$	11.9053	+	11.9053i	0.695514	+	0.695514i	−0.267926	+	0.963440i	$0.586338\pi$
$294$	−22.4544	+	4.68878i	−1.30957	+	0.273455i
$295$	14.7544	−	19.5512i	0.859032	−	1.13831i
$296$	27.6921	−	19.6681i	1.60957	−	1.14318i
$297$	21.4372	−	21.4372i	1.24391	−	1.24391i
$298$	−0.422157	−	0.276309i	−0.0244549	−	0.0160061i
$299$	0.550635			0.0318440
$300$	2.78670	−	28.9886i	0.160890	−	1.67366i
$301$	−5.49844			−0.316925
$302$	1.73219	+	1.13374i	0.0996763	+	0.0652397i
$303$	−13.0858	+	13.0858i	−0.751759	+	0.751759i
$304$	−13.1595	+	14.2002i	−0.754746	+	0.814439i
$305$	−4.82193	+	6.38959i	−0.276103	+	0.365867i
$306$	−2.21124	+	0.461736i	−0.126408	+	0.0263957i
$307$	24.2442	+	24.2442i	1.38369	+	1.38369i	0.837967	+	0.545721i	$0.183744\pi$
$307$	24.2442	+	24.2442i	1.38369	+	1.38369i	0.545721	+	0.837967i	$0.316256\pi$
$308$	9.34366	+	3.66376i	0.532404	+	0.208762i
$309$		−	12.0969i		−	0.688170i
$310$	15.0863	−	5.41787i	0.856844	−	0.307714i
$311$			11.5941i			0.657443i	0.944427	+	0.328721i	$0.106618\pi$
$311$			11.5941i			0.657443i	−0.944427	+	0.328721i	$0.893382\pi$
$312$	8.12127	+	1.37596i	0.459776	+	0.0778984i
$313$	22.6331	+	22.6331i	1.27930	+	1.27930i	0.941062	+	0.338235i	$0.109830\pi$
$313$	22.6331	+	22.6331i	1.27930	+	1.27930i	0.338235	+	0.941062i	$0.390170\pi$
$314$	0.720869	+	3.45222i	0.0406810	+	0.194820i
$315$	2.02978	+	14.5164i	0.114365	+	0.817906i
$316$	1.75366	+	4.01603i	0.0986512	+	0.225919i
$317$	−0.866886	+	0.866886i	−0.0486892	+	0.0486892i	−0.731032	−	0.682343i	$-0.760961\pi$
$317$	−0.866886	+	0.866886i	−0.0486892	+	0.0486892i	0.682343	+	0.731032i	$0.260961\pi$
$318$	0.227764	−	0.347988i	0.0127724	−	0.0195142i
$319$	27.5093			1.54023
$320$	14.8777	−	9.93253i	0.831687	−	0.555245i
$321$	22.6867			1.26625
$322$	−0.510025	+	0.779240i	−0.0284226	+	0.0434253i
$323$	−0.997383	+	0.997383i	−0.0554959	+	0.0554959i
$324$	3.68051	+	8.42866i	0.204473	+	0.468259i
$325$	−2.43017	+	4.36970i	−0.134802	+	0.242387i
$326$	4.57656	+	21.9170i	0.253472	+	1.21387i
$327$	16.8914	+	16.8914i	0.934098	+	0.934098i
$328$	−15.6493	−	2.65140i	−0.864086	−	0.146399i
$329$			15.0725i			0.830976i
$330$	−16.4804	+	34.9506i	−0.907217	+	1.92397i
$331$		−	6.91111i		−	0.379869i	−0.981797	−	0.189935i	$-0.939172\pi$
$331$		−	6.91111i		−	0.379869i	0.981797	−	0.189935i	$-0.0608276\pi$
$332$	29.4673	+	11.5545i	1.61723	+	0.634135i
$333$	−46.5421	−	46.5421i	−2.55049	−	2.55049i
$334$	−30.0749	+	6.28004i	−1.64563	+	0.343628i
$335$	21.7963	−	3.04771i	1.19086	−	0.166514i
$336$	−9.46952	+	10.2185i	−0.516605	+	0.557463i
$337$	−3.31953	+	3.31953i	−0.180826	+	0.180826i	−0.791716	−	0.610889i	$-0.790812\pi$
$337$	−3.31953	+	3.31953i	−0.180826	+	0.180826i	0.610889	+	0.791716i	$0.290812\pi$
$338$	−1.18329	−	0.774482i	−0.0643625	−	0.0421263i
$339$	25.6044			1.39064
$340$	1.11066	−	0.681921i	0.0602338	−	0.0369824i
$341$	−21.2692			−1.15179
$342$	31.3909	+	20.5458i	1.69743	+	1.11099i
$343$	−10.6298	+	10.6298i	−0.573956	+	0.573956i
$344$	10.6018	−	7.52985i	0.571613	−	0.405982i
$345$	−2.86215	−	2.15993i	−0.154093	−	0.116287i
$346$	13.8948	−	2.90141i	0.746989	−	0.155981i
$347$	0.298469	+	0.298469i	0.0160226	+	0.0160226i	0.715073	−	0.699050i	$-0.246394\pi$
$347$	0.298469	+	0.298469i	0.0160226	+	0.0160226i	−0.699050	+	0.715073i	$0.746394\pi$
$348$	−13.9399	+	35.5509i	−0.747259	+	1.90573i
$349$		−	28.4804i		−	1.52452i	−0.647271	−	0.762260i	$-0.724090\pi$
$349$		−	28.4804i		−	1.52452i	0.647271	−	0.762260i	$-0.275910\pi$
$350$	−3.93291	−	7.48653i	−0.210223	−	0.400172i
$351$		−	7.22531i		−	0.385658i
$352$	−23.0333	+	5.73139i	−1.22768	+	0.305484i
$353$	−12.3525	−	12.3525i	−0.657459	−	0.657459i	0.297320	−	0.954778i	$-0.403907\pi$
$353$	−12.3525	−	12.3525i	−0.657459	−	0.657459i	−0.954778	+	0.297320i	$0.903907\pi$
$354$	−9.22143	−	44.1612i	−0.490113	−	2.34714i
$355$	−8.23024	−	6.21097i	−0.436816	−	0.329644i
$356$	27.5118	−	12.0135i	1.45812	−	0.636713i
$357$	−0.717716	+	0.717716i	−0.0379855	+	0.0379855i
$358$	9.42319	−	14.3972i	0.498031	−	0.760916i
$359$	28.4805			1.50314			0.751572	−	0.659651i	$-0.229296\pi$
$359$	28.4805			1.50314			0.751572	+	0.659651i	$0.229296\pi$
$360$	−23.7932	−	25.2101i	−1.25401	−	1.32869i
$361$	4.42610			0.232953
$362$	−10.1196	+	15.4612i	−0.531875	+	0.812624i
$363$	13.6029	−	13.6029i	0.713966	−	0.713966i
$364$	2.19204	−	0.957191i	0.114894	−	0.0501704i
$365$	8.06627	−	1.12788i	0.422208	−	0.0590358i
$366$	3.01369	+	14.4325i	0.157528	+	0.754398i
$367$	−15.7149	−	15.7149i	−0.820313	−	0.820313i	0.165840	−	0.986153i	$-0.446966\pi$
$367$	−15.7149	−	15.7149i	−0.820313	−	0.820313i	−0.986153	+	0.165840i	$0.946966\pi$
$368$	−0.0837251	−	2.20095i	−0.00436447	−	0.114732i
$369$			30.7579i			1.60119i
$370$	34.3481	+	16.1963i	1.78567	+	0.842006i
$371$		−	0.120772i		−	0.00627015i
$372$	10.7778	−	27.4867i	0.558805	−	1.42512i
$373$	4.87930	+	4.87930i	0.252641	+	0.252641i	0.822052	−	0.569412i	$-0.192829\pi$
$373$	4.87930	+	4.87930i	0.252641	+	0.252641i	−0.569412	+	0.822052i	$0.692829\pi$
$374$	−1.69278	+	0.353475i	−0.0875318	+	0.0182778i
$375$	29.7725	−	13.1806i	1.53744	−	0.680646i
$376$	−20.6411	−	29.0622i	−1.06448	−	1.49877i
$377$	4.63594	−	4.63594i	0.238763	−	0.238763i
$378$	10.2250	+	6.69243i	0.525918	+	0.344221i
$379$	0.333137			0.0171121			0.00855604	−	0.999963i	$-0.497276\pi$
$379$	0.333137			0.0171121			0.00855604	+	0.999963i	$0.497276\pi$
$380$	−21.0516	−	5.03497i	−1.07993	−	0.258288i
$381$	25.2700			1.29462
$382$	−16.4940	−	10.7956i	−0.843909	−	0.552351i
$383$	8.70979	−	8.70979i	0.445050	−	0.445050i	−0.448655	−	0.893705i	$-0.648097\pi$
$383$	8.70979	−	8.70979i	0.445050	−	0.445050i	0.893705	+	0.448655i	$0.148097\pi$
$384$	4.26501	−	32.6708i	0.217648	−	1.66723i
$385$	1.55386	+	11.1128i	0.0791923	+	0.566361i
$386$	−8.93816	+	1.86641i	−0.454941	+	0.0949975i
$387$	−17.8185	−	17.8185i	−0.905765	−	0.905765i
$388$	14.5097	+	5.68944i	0.736619	+	0.288837i
$389$			15.7397i			0.798036i	0.916943	+	0.399018i	$0.130649\pi$
$389$			15.7397i			0.798036i	−0.916943	+	0.399018i	$0.869351\pi$
$390$	3.11264	+	8.66728i	0.157615	+	0.438885i
$391$		−	0.160469i		−	0.00811526i
$392$	2.63155	−	15.5321i	0.132913	−	0.784489i
$393$	5.06840	+	5.06840i	0.255667	+	0.255667i
$394$	−5.48626	−	26.2736i	−0.276394	−	1.32364i
$395$	−2.95131	+	3.91082i	−0.148497	+	0.196775i
$396$	18.4065	+	42.1524i	0.924962	+	2.11824i
$397$	17.4901	−	17.4901i	0.877805	−	0.877805i	−0.115502	−	0.993307i	$-0.536848\pi$
$397$	17.4901	−	17.4901i	0.877805	−	0.877805i	0.993307	+	0.115502i	$0.0368478\pi$
$398$	−6.35521	+	9.70979i	−0.318558	+	0.486708i
$399$	16.8574			0.843925
$400$	17.8357	+	9.04925i	0.891784	+	0.452462i
$401$	1.23996			0.0619204			0.0309602	−	0.999521i	$-0.490143\pi$
$401$	1.23996			0.0619204			0.0309602	+	0.999521i	$0.490143\pi$
$402$	22.1993	−	33.9171i	1.10720	−	1.69163i
$403$	−3.58434	+	3.58434i	−0.178549	+	0.178549i
$404$	−5.08596	−	11.6473i	−0.253036	−	0.579473i
$405$	−6.19408	+	8.20786i	−0.307786	+	0.407852i
$406$	2.26659	+	10.8547i	0.112489	+	0.538707i
$407$	−35.6296	−	35.6296i	−1.76610	−	1.76610i
$408$	0.400989	−	2.36674i	0.0198519	−	0.117171i
$409$			13.6662i			0.675749i	0.941191	+	0.337875i	$0.109708\pi$
$409$			13.6662i			0.675749i	−0.941191	+	0.337875i	$0.890292\pi$
$410$	−5.99789	−	16.7014i	−0.296215	−	0.824824i
$411$		−	4.30749i		−	0.212473i
$412$	7.73436	+	3.03274i	0.381045	+	0.149412i
$413$	−9.26339	−	9.26339i	−0.455822	−	0.455822i
$414$	−4.17804	+	0.872430i	−0.205340	+	0.0428776i
$415$	4.90046	+	35.0467i	0.240554	+	1.72037i
$416$	−2.91577	+	4.84750i	−0.142957	+	0.237668i
$417$	−8.91095	+	8.91095i	−0.436371	+	0.436371i
$418$	24.0308	+	15.7285i	1.17539	+	0.769309i
$419$	30.4429			1.48723			0.743617	−	0.668605i	$-0.233108\pi$
$419$	30.4429			1.48723			0.743617	+	0.668605i	$0.233108\pi$
$420$	−15.1487	−	3.62316i	−0.739182	−	0.176792i
$421$	−30.0550			−1.46479			−0.732396	−	0.680878i	$-0.761598\pi$
$421$	−30.0550			−1.46479			−0.732396	+	0.680878i	$0.761598\pi$
$422$	−10.9504	−	7.16722i	−0.533058	−	0.348895i
$423$	−48.8447	+	48.8447i	−2.37491	+	2.37491i
$424$	0.165391	+	0.232866i	0.00803208	+	0.0113090i
$425$	1.27344	+	0.708214i	0.0617709	+	0.0343534i
$426$	−18.5900	+	3.88184i	−0.900689	+	0.188076i
$427$	3.02740	+	3.02740i	0.146506	+	0.146506i
$428$	−5.68762	+	14.5051i	−0.274922	+	0.701130i
$429$		−	12.2194i		−	0.589960i
$430$	13.1500	+	6.20070i	0.634151	+	0.299024i
$431$		−	29.7403i		−	1.43254i	−0.697822	−	0.716271i	$-0.745847\pi$
$431$		−	29.7403i		−	1.43254i	0.697822	−	0.716271i	$-0.254153\pi$
$432$	−28.8803	+	1.09862i	−1.38951	+	0.0528575i
$433$	0.932973	+	0.932973i	0.0448358	+	0.0448358i	0.729169	−	0.684333i	$-0.239907\pi$
$433$	0.932973	+	0.932973i	0.0448358	+	0.0448358i	−0.684333	+	0.729169i	$0.739907\pi$
$434$	−1.75245	−	8.39242i	−0.0841201	−	0.402849i
$435$	−42.2822	+	5.91217i	−2.02727	+	0.283467i
$436$	−15.0345	+	6.56507i	−0.720023	+	0.314410i
$437$	−1.88451	+	1.88451i	−0.0901484	+	0.0901484i
$438$	8.21539	−	12.5519i	0.392546	−	0.599751i
$439$	18.8341			0.898901			0.449450	−	0.893305i	$-0.351620\pi$
$439$	18.8341			0.898901			0.449450	+	0.893305i	$0.351620\pi$
$440$	−18.2145	−	19.2992i	−0.868343	−	0.920055i
$441$	−30.5276			−1.45370
$442$	−0.225704	+	0.344841i	−0.0107356	+	0.0164024i
$443$	12.6851	−	12.6851i	0.602687	−	0.602687i	−0.338338	−	0.941025i	$-0.609865\pi$
$443$	12.6851	−	12.6851i	0.602687	−	0.602687i	0.941025	+	0.338338i	$0.109865\pi$
$444$	64.0998	−	27.9902i	3.04204	−	1.32836i
$445$	26.7911	+	20.2180i	1.27002	+	0.958425i
$446$	0.185703	+	0.889327i	0.00879330	+	0.0421109i
$447$	−0.734670	−	0.734670i	−0.0347487	−	0.0347487i
$448$	−4.15930	−	8.61629i	−0.196508	−	0.407082i
$449$			15.8773i			0.749297i	0.927167	+	0.374648i	$0.122237\pi$
$449$			15.8773i			0.749297i	−0.927167	+	0.374648i	$0.877763\pi$
$450$	11.5160	−	37.0063i	0.542870	−	1.74449i
$451$			23.5462i			1.10875i
$452$	−6.41909	+	16.3706i	−0.301929	+	0.770006i
$453$	3.01448	+	3.01448i	0.141633	+	0.141633i
$454$	−34.6429	+	7.23389i	−1.62587	+	0.339503i
$455$	2.13462	+	1.61090i	0.100072	+	0.0755200i
$456$	−32.5036	+	23.0854i	−1.52212	+	1.08107i
$457$	14.5221	−	14.5221i	0.679317	−	0.679317i	−0.280529	−	0.959846i	$-0.590510\pi$
$457$	14.5221	−	14.5221i	0.679317	−	0.679317i	0.959846	+	0.280529i	$0.0905099\pi$
$458$	−3.33394	−	2.18211i	−0.155785	−	0.101963i
$459$	−2.10564			−0.0982827
$460$	2.09853	−	1.28846i	0.0978446	−	0.0600747i
$461$	6.30338			0.293578			0.146789	−	0.989168i	$-0.453106\pi$
$461$	6.30338			0.293578			0.146789	+	0.989168i	$0.453106\pi$
$462$	17.2926	+	11.3182i	0.804522	+	0.526572i
$463$	20.4903	−	20.4903i	0.952265	−	0.952265i	−0.0466465	−	0.998911i	$-0.514853\pi$
$463$	20.4903	−	20.4903i	0.952265	−	0.952265i	0.998911	+	0.0466465i	$0.0148534\pi$
$464$	−19.2352	−	17.8254i	−0.892974	−	0.827525i
$465$	32.6910	−	4.57107i	1.51601	−	0.211978i
$466$	21.5968	−	4.50969i	1.00045	−	0.208908i
$467$	−11.3954	−	11.3954i	−0.527315	−	0.527315i	0.392456	−	0.919771i	$-0.371626\pi$
$467$	−11.3954	−	11.3954i	−0.527315	−	0.527315i	−0.919771	+	0.392456i	$0.871626\pi$
$468$	10.2055	+	4.00172i	0.471751	+	0.184979i
$469$		−	11.7712i		−	0.543542i
$470$	16.9976	−	36.0473i	0.784040	−	1.66274i
$471$			7.26233i			0.334630i
$472$	30.5470	+	5.17547i	1.40604	+	0.238221i
$473$	−13.6407	−	13.6407i	−0.627199	−	0.627199i
$474$	1.84456	+	8.83355i	0.0847235	+	0.405738i
$475$	−6.63789	−	23.2721i	−0.304567	−	1.06780i
$476$	−0.278949	−	0.638817i	−0.0127856	−	0.0292801i
$477$	0.391377	−	0.391377i	0.0179199	−	0.0179199i
$478$	0.339695	−	0.519002i	0.0155373	−	0.0237386i
$479$	−27.1128			−1.23881			−0.619407	−	0.785070i	$-0.712627\pi$
$479$	−27.1128			−1.23881			−0.619407	+	0.785070i	$0.712627\pi$
$480$	34.1708	−	13.7594i	1.55968	−	0.628029i
$481$	−12.0088			−0.547554
$482$	5.02082	−	7.67105i	0.228692	−	0.349407i
$483$	−1.35609	+	1.35609i	−0.0617043	+	0.0617043i
$484$	5.28694	+	12.1075i	0.240315	+	0.550341i
$485$	2.41299	+	17.2570i	0.109568	+	0.783601i
$486$	−2.39460	−	11.4677i	−0.108621	−	0.520185i
$487$	−6.08398	−	6.08398i	−0.275692	−	0.275692i	0.555695	−	0.831386i	$-0.312452\pi$
$487$	−6.08398	−	6.08398i	−0.275692	−	0.275692i	−0.831386	+	0.555695i	$0.812452\pi$
$488$	−9.98317	−	1.69142i	−0.451917	−	0.0765668i
$489$			46.1061i			2.08499i
$490$	16.5764	−	5.95299i	0.748844	−	0.268929i
$491$			28.1664i			1.27113i	0.772046	+	0.635567i	$0.219233\pi$
$491$			28.1664i			1.27113i	−0.772046	+	0.635567i	$0.780767\pi$
$492$	−30.4293	−	11.9317i	−1.37186	−	0.537923i
$493$	−1.35103	−	1.35103i	−0.0608473	−	0.0608473i
$494$	6.70035	−	1.39912i	0.301463	−	0.0629494i
$495$	−30.9771	+	41.0481i	−1.39232	+	1.84498i
$496$	14.8720	+	13.7820i	0.667772	+	0.618829i
$497$	−3.89950	+	3.89950i	−0.174917	+	0.174917i
$498$	54.5359	+	35.6946i	2.44381	+	1.59951i
$499$	−19.3231			−0.865023			−0.432511	−	0.901629i	$-0.642372\pi$
$499$	−19.3231			−0.865023			−0.432511	+	0.901629i	$0.642372\pi$
$500$	0.963208	+	22.3399i	0.0430760	+	0.999072i
$501$	−63.2677			−2.82659
$502$	−20.5563	−	13.4544i	−0.917471	−	0.600499i
$503$	−5.39116	+	5.39116i	−0.240380	+	0.240380i	−0.817007	−	0.576627i	$-0.804368\pi$
$503$	−5.39116	+	5.39116i	−0.240380	+	0.240380i	0.576627	+	0.817007i	$0.304368\pi$
$504$	−15.1160	+	10.7360i	−0.673318	+	0.478217i
$505$	8.55938	−	11.3421i	0.380887	−	0.504719i
$506$	−3.19844	+	0.667876i	−0.142188	+	0.0296907i
$507$	−2.05925	−	2.05925i	−0.0914546	−	0.0914546i
$508$	−6.33527	+	16.1568i	−0.281082	+	0.716841i
$509$			14.1691i			0.628033i	0.949417	+	0.314017i	$0.101675\pi$
$509$			14.1691i			0.628033i	−0.949417	+	0.314017i	$0.898325\pi$
$510$	2.52586	−	0.907101i	0.111847	−	0.0401671i
$511$		−	4.35620i		−	0.192707i
$512$	19.8193	+	10.9176i	0.875900	+	0.482493i
$513$	24.7281	+	24.7281i	1.09177	+	1.09177i
$514$	5.26802	+	25.2284i	0.232363	+	1.11278i
$515$	1.28624	+	9.19880i	0.0566783	+	0.405347i
$516$	24.5404	−	10.7159i	1.08033	−	0.471743i
$517$	−37.3923	+	37.3923i	−1.64451	+	1.64451i
$518$	11.1231	−	16.9944i	0.488722	−	0.746693i
$519$	29.2300			1.28306
$520$	−6.32191	−	0.182799i	−0.277234	−	0.00801628i
$521$	18.4923			0.810164			0.405082	−	0.914280i	$-0.367243\pi$
$521$	18.4923			0.810164			0.405082	+	0.914280i	$0.367243\pi$
$522$	−27.8308	+	42.5213i	−1.21812	+	1.86111i
$523$	−3.63846	+	3.63846i	−0.159099	+	0.159099i	−0.782167	−	0.623069i	$-0.785886\pi$
$523$	−3.63846	+	3.63846i	−0.159099	+	0.159099i	0.623069	+	0.782167i	$0.285886\pi$
$524$	−4.51123	+	1.96990i	−0.197074	+	0.0860555i
$525$	−4.77662	−	16.7466i	−0.208469	−	0.730881i
$526$	7.24020	+	34.6731i	0.315688	+	1.51182i
$527$	1.04457	+	1.04457i	0.0455020	+	0.0455020i
$528$	−48.8425	+	1.85799i	−2.12559	+	0.0808587i
$529$			22.6968i			0.986817i
$530$	−0.136196	+	0.288836i	−0.00591599	+	0.0125462i
$531$		−	60.0387i		−	2.60546i
$532$	−4.22620	+	10.7780i	−0.183229	+	0.467287i
$533$	3.96807	+	3.96807i	0.171876	+	0.171876i
$534$	60.5144	−	12.6362i	2.61871	−	0.546821i
$535$	−17.2515	+	2.41222i	−0.745848	+	0.104289i
$536$	16.1200	+	22.6966i	0.696279	+	0.980344i
$537$	25.0551	−	25.0551i	1.08121	−	1.08121i
$538$	11.7173	+	7.66913i	0.505167	+	0.330640i
$539$	−23.3699			−1.00661
$540$	−16.9069	−	27.5365i	−0.727556	−	1.18498i
$541$	12.8284			0.551535			0.275767	−	0.961224i	$-0.411068\pi$
$541$	12.8284			0.551535			0.275767	+	0.961224i	$0.411068\pi$
$542$	−27.4581	−	17.9717i	−1.17943	−	0.771952i
$543$	−26.9068	+	26.9068i	−1.15468	+	1.15468i
$544$	1.41268	+	0.849728i	0.0605684	+	0.0364318i
$545$	−14.6407	−	11.0486i	−0.627138	−	0.473271i
$546$	4.82156	−	1.00680i	0.206344	−	0.0430873i
$547$	15.8672	+	15.8672i	0.678431	+	0.678431i	0.959645	−	0.281214i	$-0.0907370\pi$
$547$	15.8672	+	15.8672i	0.678431	+	0.678431i	−0.281214	+	0.959645i	$0.590737\pi$
$548$	2.75406	+	1.07990i	0.117648	+	0.0461310i
$549$			19.6215i			0.837423i
$550$	8.81591	−	28.3296i	0.375912	−	1.20798i
$551$			31.7324i			1.35184i
$552$	0.757651	−	4.47185i	0.0322478	−	0.190335i
$553$	1.85295	+	1.85295i	0.0787956	+	0.0787956i
$554$	6.06095	+	29.0257i	0.257505	+	1.23319i
$555$	62.4205	+	47.1059i	2.64960	+	1.99953i
$556$	−3.46336	−	7.93136i	−0.146879	−	0.336365i
$557$	−4.50875	+	4.50875i	−0.191042	+	0.191042i	−0.796146	−	0.605104i	$-0.793131\pi$
$557$	−4.50875	+	4.50875i	−0.191042	+	0.191042i	0.605104	+	0.796146i	$0.293131\pi$
$558$	21.5178	−	32.8759i	0.910920	−	1.39175i
$559$	−4.59752			−0.194454
$560$	6.11435	−	8.77724i	0.258379	−	0.370906i
$561$	−3.56105			−0.150348
$562$	0.100813	−	0.154026i	0.00425252	−	0.00649721i
$563$	7.11349	−	7.11349i	0.299798	−	0.299798i	−0.541137	−	0.840935i	$-0.682006\pi$
$563$	7.11349	−	7.11349i	0.299798	−	0.299798i	0.840935	+	0.541137i	$0.182006\pi$
$564$	−29.3749	−	67.2709i	−1.23691	−	2.83262i
$565$	−19.4702	+	2.72245i	−0.819117	+	0.114534i
$566$	−4.17148	−	19.9771i	−0.175340	−	0.839700i
$567$	3.88890	+	3.88890i	0.163318	+	0.163318i
$568$	2.17866	−	12.8590i	0.0914146	−	0.539552i
$569$			18.4963i			0.775404i	0.921785	+	0.387702i	$0.126731\pi$
$569$			18.4963i			0.775404i	−0.921785	+	0.387702i	$0.873269\pi$
$570$	−40.3160	−	19.0104i	−1.68865	−	0.796258i
$571$		−	31.1985i		−	1.30562i	−0.757523	−	0.652808i	$-0.773591\pi$
$571$		−	31.1985i		−	1.30562i	0.757523	−	0.652808i	$-0.226409\pi$
$572$	7.81270	+	3.06345i	0.326665	+	0.128089i
$573$	−28.7042	−	28.7042i	−1.19913	−	1.19913i
$574$	−9.29090	+	1.94006i	−0.387795	+	0.0809766i
$575$	2.40611	+	1.33814i	0.100342	+	0.0558042i
$576$	14.4435	−	41.4011i	0.601813	−	1.72505i
$577$	21.5066	−	21.5066i	0.895334	−	0.895334i	−0.0996855	−	0.995019i	$-0.531784\pi$
$577$	21.5066	−	21.5066i	0.895334	−	0.895334i	0.995019	+	0.0996855i	$0.0317837\pi$
$578$	−20.0154	−	13.1004i	−0.832533	−	0.544906i
$579$	−18.8029			−0.781423
$580$	6.82023	−	28.5160i	0.283195	−	1.18406i
$581$	18.9270			0.785226
$582$	26.8535	+	17.5760i	1.11311	+	0.728550i
$583$	0.299613	−	0.299613i	0.0124087	−	0.0124087i
$584$	5.96561	+	8.39943i	0.246859	+	0.347571i
$585$	1.69720	+	12.1379i	0.0701704	+	0.501839i
$586$	−23.3078	+	4.86698i	−0.962838	+	0.201053i
$587$	2.12698	+	2.12698i	0.0877898	+	0.0877898i	0.749638	−	0.661848i	$-0.230228\pi$
$587$	2.12698	+	2.12698i	0.0877898	+	0.0877898i	−0.661848	+	0.749638i	$0.730228\pi$
$588$	11.8424	−	30.2015i	0.488371	−	1.24549i
$589$		−	24.5343i		−	1.01092i
$590$	11.7077	+	32.6007i	0.482000	+	1.34215i
$591$		−	55.2708i		−	2.27354i
$592$	1.82596	+	48.0004i	0.0750465	+	1.97281i
$593$	−14.9993	−	14.9993i	−0.615948	−	0.615948i	0.328541	−	0.944490i	$-0.393443\pi$
$593$	−14.9993	−	14.9993i	−0.615948	−	0.615948i	−0.944490	+	0.328541i	$0.893443\pi$
$594$	8.76372	+	41.9692i	0.359580	+	1.72202i
$595$	0.469456	−	0.622082i	0.0192458	−	0.0255029i
$596$	0.653907	−	0.285539i	0.0267851	−	0.0116961i
$597$	−16.8977	+	16.8977i	−0.691577	+	0.691577i
$598$	−0.426457	+	0.651561i	−0.0174391	+	0.0266443i
$599$	−31.8821			−1.30267			−0.651334	−	0.758791i	$-0.725790\pi$
$599$	−31.8821			−1.30267			−0.651334	+	0.758791i	$0.725790\pi$
$600$	32.1437	+	25.7486i	1.31226	+	1.05118i
$601$	−36.5855			−1.49236			−0.746178	−	0.665747i	$-0.768113\pi$
$601$	−36.5855			−1.49236			−0.746178	+	0.665747i	$0.768113\pi$
$602$	4.25845	−	6.50626i	0.173561	−	0.265175i
$603$	38.1461	−	38.1461i	1.55343	−	1.55343i
$604$	−2.68310	+	1.17162i	−0.109174	+	0.0476725i
$605$	−8.89761	+	11.7903i	−0.361739	+	0.479345i
$606$	−5.34959	−	25.6190i	−0.217312	−	1.04070i
$607$	−8.79118	−	8.79118i	−0.356823	−	0.356823i	0.505818	−	0.862640i	$-0.331191\pi$
$607$	−8.79118	−	8.79118i	−0.356823	−	0.356823i	−0.862640	+	0.505818i	$0.831191\pi$
$608$	−6.61124	−	26.5693i	−0.268121	−	1.07753i
$609$			22.8346i			0.925304i
$610$	−3.82625	−	10.6544i	−0.154920	−	0.431383i
$611$			12.6029i			0.509858i
$612$	1.16620	−	2.97415i	0.0471409	−	0.120223i
$613$	9.74539	+	9.74539i	0.393613	+	0.393613i	0.875973	−	0.482360i	$-0.160220\pi$
$613$	9.74539	+	9.74539i	0.393613	+	0.393613i	−0.482360	+	0.875973i	$0.660220\pi$
$614$	−47.4646	+	9.91122i	−1.91551	+	0.399984i
$615$	−5.06044	−	36.1909i	−0.204057	−	1.45936i
$616$	−11.5718	+	8.21875i	−0.466241	+	0.331143i
$617$	15.9154	−	15.9154i	0.640729	−	0.640729i	−0.310005	−	0.950735i	$-0.600331\pi$
$617$	15.9154	−	15.9154i	0.640729	−	0.640729i	0.950735	+	0.310005i	$0.100331\pi$
$618$	14.3142	+	9.36885i	0.575801	+	0.376870i
$619$	−6.47284			−0.260165			−0.130083	−	0.991503i	$-0.541524\pi$
$619$	−6.47284			−0.260165			−0.130083	+	0.991503i	$0.541524\pi$
$620$	−5.27315	+	22.0475i	−0.211775	+	0.885449i
$621$	−3.97850			−0.159652
$622$	−13.7192	−	8.97945i	−0.550091	−	0.360043i
$623$	12.6937	−	12.6937i	0.508562	−	0.508562i
$624$	−7.91794	+	8.54416i	−0.316971	+	0.342040i
$625$	−21.2382	+	13.1885i	−0.849530	+	0.527541i
$626$	−44.3104	+	9.25259i	−1.77100	+	0.369808i
$627$	41.8202	+	41.8202i	1.67014	+	1.67014i
$628$	−4.64328	−	1.82069i	−0.185287	−	0.0726533i
$629$			3.49966i			0.139541i
$630$	−18.7491	−	8.84087i	−0.746984	−	0.352229i
$631$		−	38.0648i		−	1.51533i	−0.652641	−	0.757667i	$-0.726339\pi$
$631$		−	38.0648i		−	1.51533i	0.652641	−	0.757667i	$-0.273661\pi$
$632$	−6.11031	−	1.03525i	−0.243055	−	0.0411800i
$633$	−19.0567	−	19.0567i	−0.757438	−	0.757438i
$634$	−0.354390	−	1.69717i	−0.0140746	−	0.0674031i
$635$	−19.2159	+	2.68690i	−0.762561	+	0.106626i
$636$	0.235372	+	0.539021i	0.00933312	+	0.0213736i
$637$	−3.93836	+	3.93836i	−0.156044	+	0.156044i
$638$	−21.3055	+	32.5515i	−0.843492	+	1.28873i
$639$	−25.2738			−0.999816
$640$	0.230590	+	25.2972i	0.00911488	+	0.999958i
$641$	2.47864			0.0979003			0.0489501	−	0.998801i	$-0.484412\pi$
$641$	2.47864			0.0979003			0.0489501	+	0.998801i	$0.484412\pi$
$642$	−17.5704	+	26.8449i	−0.693450	+	1.05949i
$643$	−22.2075	+	22.2075i	−0.875780	+	0.875780i	−0.993095	−	0.117315i	$-0.962571\pi$
$643$	−22.2075	+	22.2075i	−0.875780	+	0.875780i	0.117315	+	0.993095i	$0.462571\pi$
$644$	−0.527062	−	1.20701i	−0.0207692	−	0.0475631i
$645$	23.8975	+	18.0343i	0.940963	+	0.710100i
$646$	−0.407739	−	1.95265i	−0.0160423	−	0.0768260i
$647$	19.5503	+	19.5503i	0.768603	+	0.768603i	0.977861	−	0.209258i	$-0.0671048\pi$
$647$	19.5503	+	19.5503i	0.768603	+	0.768603i	−0.209258	+	0.977861i	$0.567105\pi$
$648$	−12.8240	−	2.17274i	−0.503776	−	0.0853531i
$649$		−	45.9617i		−	1.80415i
$650$	−3.28850	−	6.25986i	−0.128985	−	0.245532i
$651$		−	17.6549i		−	0.691948i
$652$	−29.4787	−	11.5590i	−1.15447	−	0.452683i
$653$	1.86959	+	1.86959i	0.0731625	+	0.0731625i	0.742741	−	0.669579i	$-0.233525\pi$
$653$	1.86959	+	1.86959i	0.0731625	+	0.0731625i	−0.669579	+	0.742741i	$0.733525\pi$
$654$	−33.0696	+	6.90536i	−1.29312	+	0.270021i
$655$	−4.39305	−	3.31523i	−0.171651	−	0.129537i
$656$	15.2575	−	16.4642i	0.595704	−	0.642818i
$657$	14.1169	−	14.1169i	0.550753	−	0.550753i
$658$	−17.8352	−	11.6734i	−0.695288	−	0.455077i
$659$	−1.00511			−0.0391535			−0.0195767	−	0.999808i	$-0.506232\pi$
$659$	−1.00511			−0.0391535			−0.0195767	+	0.999808i	$0.506232\pi$
$660$	−28.5929	−	46.5698i	−1.11298	−	1.81273i
$661$	−5.91229			−0.229961			−0.114981	−	0.993368i	$-0.536681\pi$
$661$	−5.91229			−0.229961			−0.114981	+	0.993368i	$0.536681\pi$
$662$	8.17786	+	5.35254i	0.317841	+	0.208032i
$663$	−0.600118	+	0.600118i	−0.0233066	+	0.0233066i
$664$	−36.4942	+	25.9196i	−1.41625	+	1.00588i
$665$	−12.8188	+	1.79240i	−0.497091	+	0.0695065i
$666$	91.1189	−	19.0268i	3.53079	−	0.737274i
$667$	−2.55271	−	2.55271i	−0.0988412	−	0.0988412i
$668$	15.8614	−	40.4512i	0.613696	−	1.56510i
$669$			1.87085i			0.0723312i
$670$	−13.2746	+	28.1518i	−0.512841	+	1.08760i
$671$			15.0209i			0.579876i
$672$	−4.75744	−	19.1192i	−0.183522	−	0.737540i
$673$	22.2258	+	22.2258i	0.856742	+	0.856742i	0.990953	−	0.134211i	$-0.0428498\pi$
$673$	22.2258	+	22.2258i	0.856742	+	0.856742i	−0.134211	+	0.990953i	$0.542850\pi$
$674$	−1.35705	−	6.49889i	−0.0522717	−	0.250328i
$675$	17.5587	−	31.5724i	0.675836	−	1.21522i
$676$	1.83288	−	0.800354i	0.0704952	−	0.0307829i
$677$	13.0165	−	13.0165i	0.500263	−	0.500263i	−0.411256	−	0.911520i	$-0.634910\pi$
$677$	13.0165	−	13.0165i	0.500263	−	0.500263i	0.911520	+	0.411256i	$0.134910\pi$
$678$	−19.8301	+	30.2974i	−0.761571	+	1.16357i
$679$	9.31969			0.357657
$680$	−0.0532723	+	1.84236i	−0.00204290	+	0.0706515i
$681$	−72.8771			−2.79266
$682$	16.4726	−	25.1676i	0.630769	−	0.963719i
$683$	5.53879	−	5.53879i	0.211936	−	0.211936i	−0.593153	−	0.805089i	$-0.702117\pi$
$683$	5.53879	−	5.53879i	0.211936	−	0.211936i	0.805089	+	0.593153i	$0.202117\pi$
$684$	−48.6234	+	21.2322i	−1.85916	+	0.811832i
$685$	0.458004	+	3.27552i	0.0174994	+	0.125151i
$686$	−4.34556	−	20.8108i	−0.165914	−	0.794558i
$687$	−5.80196	−	5.80196i	−0.221359	−	0.221359i
$688$	0.699062	+	18.3768i	0.0266515	+	0.700609i
$689$		−	0.100983i		−	0.00384715i
$690$	4.77251	−	1.71393i	0.181686	−	0.0652481i
$691$			24.6693i			0.938466i	0.883074	+	0.469233i	$0.155470\pi$
$691$			24.6693i			0.938466i	−0.883074	+	0.469233i	$0.844530\pi$
$692$	−7.32806	+	18.6887i	−0.278571	+	0.710437i
$693$	19.4487	+	19.4487i	0.738795	+	0.738795i
$694$	−0.584334	+	0.122017i	−0.0221810	+	0.00463169i
$695$	5.82863	−	7.72359i	0.221092	−	0.292972i
$696$	−31.2708	−	44.0285i	−1.18532	−	1.66890i
$697$	1.15640	−	1.15640i	0.0438016	−	0.0438016i
$698$	33.7006	+	22.0575i	1.27559	+	0.834890i
$699$	45.4325			1.71841
$700$	11.9047	+	1.14441i	0.449956	+	0.0432546i
$701$	−10.8183			−0.408603			−0.204302	−	0.978908i	$-0.565492\pi$
$701$	−10.8183			−0.408603			−0.204302	+	0.978908i	$0.565492\pi$
$702$	8.54964	+	5.59587i	0.322685	+	0.211203i
$703$	41.0993	−	41.0993i	1.55009	−	1.55009i
$704$	11.0570	−	31.6940i	0.416727	−	1.19451i
$705$	49.4363	−	65.5087i	1.86188	−	2.46720i
$706$	24.1834	−	5.04982i	0.910156	−	0.190052i
$707$	−5.37393	−	5.37393i	−0.202107	−	0.202107i
$708$	59.3973	+	23.2904i	2.23229	+	0.875307i
$709$		−	26.0040i		−	0.976601i	−0.872676	−	0.488300i	$-0.837617\pi$
$709$		−	26.0040i		−	0.976601i	0.872676	−	0.488300i	$-0.162383\pi$
$710$	13.7236	−	4.92847i	0.515036	−	0.184962i
$711$			12.0095i			0.450392i
$712$	−7.09199	+	41.8587i	−0.265784	+	1.56872i
$713$	1.97366	+	1.97366i	0.0739142	+	0.0739142i
$714$	−0.293408	−	1.40512i	−0.0109805	−	0.0525855i
$715$	1.29926	+	9.29197i	0.0485897	+	0.347500i
$716$	9.73798	+	22.3008i	0.363925	+	0.833418i
$717$	0.903206	−	0.903206i	0.0337308	−	0.0337308i
$718$	−22.0577	+	33.7007i	−0.823184	+	1.25770i
$719$	−30.3758			−1.13283			−0.566413	−	0.824122i	$-0.691669\pi$
$719$	−30.3758			−1.13283			−0.566413	+	0.824122i	$0.691669\pi$
$720$	48.2583	−	8.62947i	1.79848	−	0.321601i
$721$	4.96783			0.185012
$722$	−3.42794	+	5.23736i	−0.127575	+	0.194914i
$723$	13.3497	−	13.3497i	0.496482	−	0.496482i
$724$	−10.4577	−	23.9489i	−0.388656	−	0.890053i
$725$	31.5238	−	8.99152i	1.17076	−	0.333937i
$726$	5.56098	+	26.6314i	0.206387	+	0.988383i
$727$	−0.0125971	−	0.0125971i	−0.000467201	−	0.000467201i	0.706873	−	0.707340i	$-0.250105\pi$
$727$	−0.0125971	−	0.0125971i	−0.000467201	−	0.000467201i	−0.707340	+	0.706873i	$0.750105\pi$
$728$	−0.565064	+	3.33515i	−0.0209427	+	0.123609i
$729$		−	37.9200i		−	1.40444i
$730$	−4.91257	+	10.4183i	−0.181823	+	0.385597i
$731$			1.33983i			0.0495555i
$732$	−19.4119	−	7.61163i	−0.717483	−	0.281334i
$733$	24.1323	+	24.1323i	0.891347	+	0.891347i	0.994650	−	0.103303i	$-0.0329411\pi$
$733$	24.1323	+	24.1323i	0.891347	+	0.891347i	−0.103303	+	0.994650i	$0.532941\pi$
$734$	30.7663	−	6.42440i	1.13560	−	0.237129i
$735$	35.9199	−	5.02256i	1.32493	−	0.185260i
$736$	2.66920	+	1.60552i	0.0983882	+	0.0591804i
$737$	29.2022	−	29.2022i	1.07568	−	1.07568i
$738$	−36.3955	−	23.8214i	−1.33974	−	0.876879i
$739$	1.06565			0.0392006			0.0196003	−	0.999808i	$-0.493761\pi$
$739$	1.06565			0.0392006			0.0196003	+	0.999808i	$0.493761\pi$
$740$	−45.7669	+	28.1000i	−1.68242	+	1.03298i
$741$	14.0953			0.517804
$742$	0.142908	+	0.0935354i	0.00524631	+	0.00343379i
$743$	−1.75392	+	1.75392i	−0.0643452	+	0.0643452i	−0.738547	−	0.674202i	$-0.764488\pi$
$743$	−1.75392	+	1.75392i	−0.0643452	+	0.0643452i	0.674202	+	0.738547i	$0.264488\pi$
$744$	24.1775	+	34.0413i	0.886388	+	1.24801i
$745$	0.636776	+	0.480545i	0.0233297	+	0.0176058i
$746$	−9.55256	+	1.99470i	−0.349744	+	0.0730311i
$747$	61.3358	+	61.3358i	2.24416	+	2.24416i
$748$	0.892767	−	2.27682i	0.0326428	−	0.0832487i
$749$			9.31671i			0.340425i
$750$	−7.46170	+	45.4377i	−0.272463	+	1.65915i
$751$			10.4197i			0.380220i	0.981763	+	0.190110i	$0.0608845\pi$
$751$			10.4197i			0.380220i	−0.981763	+	0.190110i	$0.939115\pi$
$752$	50.3751	−	1.91629i	1.83699	−	0.0698801i
$753$	−35.7735	−	35.7735i	−1.30366	−	1.30366i
$754$	1.89521	+	9.07611i	0.0690195	+	0.330533i
$755$	−2.61281	−	1.97177i	−0.0950899	−	0.0717599i
$756$	−15.8382	+	6.91600i	−0.576029	+	0.251532i
$757$	1.88156	−	1.88156i	0.0683863	−	0.0683863i	−0.672086	−	0.740473i	$-0.734602\pi$
$757$	1.88156	−	1.88156i	0.0683863	−	0.0683863i	0.740473	+	0.672086i	$0.234602\pi$
$758$	−0.258008	+	0.394198i	−0.00937129	+	0.0143179i
$759$	−6.72845			−0.244227
$760$	22.2619	−	21.0107i	0.807526	−	0.762138i
$761$	45.0253			1.63216			0.816082	−	0.577935i	$-0.196141\pi$
$761$	45.0253			1.63216			0.816082	+	0.577935i	$0.196141\pi$
$762$	−19.5712	+	29.9018i	−0.708989	+	1.08323i
$763$	−6.93678	+	6.93678i	−0.251128	+	0.251128i
$764$	25.5487	−	11.1562i	0.924319	−	0.403619i
$765$	3.53728	−	0.494606i	0.127891	−	0.0178825i
$766$	3.56064	+	17.0518i	0.128651	+	0.616106i
$767$	−7.74558	−	7.74558i	−0.279677	−	0.279677i
$768$	35.3559	+	30.3497i	1.27580	+	1.09515i
$769$			40.0379i			1.44380i	0.691996	+	0.721902i	$0.256732\pi$
$769$			40.0379i			1.44380i	−0.691996	+	0.721902i	$0.743268\pi$
$770$	−14.3531	−	6.76800i	−0.517251	−	0.243902i
$771$			53.0722i			1.91135i
$772$	4.71395	−	12.0219i	0.169659	−	0.432679i
$773$	12.8017	+	12.8017i	0.460444	+	0.460444i	0.898801	−	0.438357i	$-0.144439\pi$
$773$	12.8017	+	12.8017i	0.460444	+	0.460444i	−0.438357	+	0.898801i	$0.644439\pi$
$774$	34.8846	−	7.28435i	1.25390	−	0.261831i
$775$	−24.3730	+	6.95191i	−0.875505	+	0.249720i
$776$	−17.9698	+	12.7628i	−0.645077	+	0.458160i
$777$	29.5750	−	29.5750i	1.06100	−	1.06100i
$778$	−18.6247	−	12.1901i	−0.667727	−	0.437038i
$779$	−27.1609			−0.973141
$780$	−12.6666	−	3.02950i	−0.453537	−	0.108473i
$781$	−19.3480			−0.692325
$782$	0.189881	+	0.124280i	0.00679014	+	0.00444425i
$783$	−33.4961	+	33.4961i	−1.19705	+	1.19705i
$784$	16.3409	+	15.1432i	0.583603	+	0.540829i
$785$	−0.772185	−	5.52245i	−0.0275605	−	0.197105i
$786$	−9.92279	+	2.07201i	−0.353934	+	0.0739060i
$787$	−9.51278	−	9.51278i	−0.339094	−	0.339094i	0.516932	−	0.856026i	$-0.327074\pi$
$787$	−9.51278	−	9.51278i	−0.339094	−	0.339094i	−0.856026	+	0.516932i	$0.827074\pi$
$788$	35.3383	+	13.8566i	1.25887	+	0.493620i
$789$			72.9407i			2.59676i
$790$	−2.34190	−	6.52112i	−0.0833210	−	0.232011i
$791$			10.5149i			0.373867i
$792$	−64.1341	−	10.8660i	−2.27891	−	0.386107i
$793$	2.53136	+	2.53136i	0.0898913	+	0.0898913i
$794$	7.15012	+	34.2417i	0.253748	+	1.21519i
$795$	−0.396118	+	0.524901i	−0.0140489	+	0.0186163i
$796$	−6.56751	−	15.0401i	−0.232779	−	0.533083i
$797$	−14.9893	+	14.9893i	−0.530947	+	0.530947i	−0.920854	−	0.389907i	$-0.872507\pi$
$797$	−14.9893	+	14.9893i	−0.530947	+	0.530947i	0.389907	+	0.920854i	$0.372507\pi$
$798$	−13.0558	+	19.9472i	−0.462169	+	0.706123i
$799$	3.67280			0.129934
$800$	−24.5213	+	14.0963i	−0.866959	+	0.498380i
$801$	82.2714			2.90692
$802$	−0.960324	+	1.46723i	−0.0339102	+	0.0518096i
$803$	10.8070	−	10.8070i	0.381370	−	0.381370i
$804$	22.9409	+	52.5364i	0.809062	+	1.85282i
$805$	0.887015	−	1.17540i	0.0312632	−	0.0414272i
$806$	−1.46531	−	7.01732i	−0.0516133	−	0.247175i
$807$	20.3912	+	20.3912i	0.717806	+	0.717806i
$808$	17.7211	+	3.00243i	0.623426	+	0.105625i
$809$		−	8.36396i		−	0.294061i	−0.989132	−	0.147031i	$-0.953028\pi$
$809$		−	8.36396i		−	0.294061i	0.989132	−	0.147031i	$-0.0469716\pi$
$810$	−4.91507	−	13.6862i	−0.172698	−	0.480886i
$811$			9.53032i			0.334655i	0.985901	+	0.167327i	$0.0535137\pi$
$811$			9.53032i			0.334655i	−0.985901	+	0.167327i	$0.946486\pi$
$812$	−14.5996	−	5.72470i	−0.512347	−	0.200898i
$813$	−47.7846	−	47.7846i	−1.67588	−	1.67588i
$814$	69.7547	−	14.5657i	2.44490	−	0.510527i
$815$	−4.90235	−	35.0602i	−0.171722	−	1.22811i
$816$	2.48998	+	2.30749i	0.0871669	+	0.0807782i
$817$	15.7347	−	15.7347i	0.550488	−	0.550488i
$818$	−16.1711	−	10.5842i	−0.565408	−	0.370068i
$819$	6.55508			0.229053
$820$	24.4079	+	5.83769i	0.852360	+	0.203861i
$821$	26.2559			0.916336			0.458168	−	0.888866i	$-0.348506\pi$
$821$	26.2559			0.916336			0.458168	+	0.888866i	$0.348506\pi$
$822$	5.09701	+	3.33607i	0.177779	+	0.116359i
$823$	−19.2819	+	19.2819i	−0.672125	+	0.672125i	−0.958206	−	0.286080i	$-0.907648\pi$
$823$	−19.2819	+	19.2819i	−0.672125	+	0.672125i	0.286080	+	0.958206i	$0.407648\pi$
$824$	−9.57873	+	6.80320i	−0.333691	+	0.237001i
$825$	29.6954	−	53.3953i	1.03386	−	1.85899i
$826$	18.1356	−	3.78695i	0.631019	−	0.131765i
$827$	4.99811	+	4.99811i	0.173801	+	0.173801i	0.788647	−	0.614846i	$-0.210782\pi$
$827$	4.99811	+	4.99811i	0.173801	+	0.173801i	−0.614846	+	0.788647i	$0.710782\pi$
$828$	2.20348	−	5.61952i	0.0765763	−	0.195292i
$829$		−	34.6638i		−	1.20392i	−0.798525	−	0.601961i	$-0.794386\pi$
$829$		−	34.6638i		−	1.20392i	0.798525	−	0.601961i	$-0.205614\pi$
$830$	−45.2657	−	21.3444i	−1.57120	−	0.740874i
$831$			61.0605i			2.11816i
$832$	−3.47780	−	7.20451i	−0.120571	−	0.249771i
$833$	1.14774	+	1.14774i	0.0397667	+	0.0397667i
$834$	−3.64287	−	17.4456i	−0.126142	−	0.604093i
$835$	48.1103	−	6.72709i	1.66492	−	0.232801i
$836$	−37.2229	+	16.2540i	−1.28738	+	0.562155i
$837$	25.8979	−	25.8979i	0.895164	−	0.895164i
$838$	−23.5775	+	36.0228i	−0.814472	+	1.24439i
$839$	7.85427			0.271159			0.135580	−	0.990766i	$-0.456710\pi$
$839$	7.85427			0.271159			0.135580	+	0.990766i	$0.456710\pi$
$840$	16.0197	−	15.1193i	0.552731	−	0.521665i
$841$	−13.9838			−0.482201
$842$	23.2771	−	35.5638i	0.802182	−	1.22561i
$843$	0.268048	−	0.268048i	0.00923207	−	0.00923207i
$844$	16.9618	−	7.40665i	0.583850	−	0.254947i
$845$	1.78486	+	1.34695i	0.0614011	+	0.0463365i
$846$	−19.9681	−	95.6268i	−0.686518	−	3.28772i
$847$	5.58628	+	5.58628i	0.191947	+	0.191947i
$848$	−0.403640	+	0.0153547i	−0.0138611	+	0.000527282i
$849$		−	42.0252i		−	1.44230i
$850$	−1.82428	+	0.958351i	−0.0625723	+	0.0328712i
$851$			6.61245i			0.226672i
$852$	9.80430	−	25.0038i	0.335890	−	0.856616i
$853$	−7.34699	−	7.34699i	−0.251556	−	0.251556i	0.570052	−	0.821608i	$-0.306923\pi$
$853$	−7.34699	−	7.34699i	−0.251556	−	0.251556i	−0.821608	+	0.570052i	$0.806923\pi$
$854$	−5.92697	+	1.23763i	−0.202817	+	0.0423508i
$855$	−47.3496	−	35.7325i	−1.61932	−	1.22203i
$856$	−12.7588	−	17.9640i	−0.436086	−	0.613998i
$857$	−31.6922	+	31.6922i	−1.08258	+	1.08258i	−0.0863156	+	0.996268i	$0.527509\pi$
$857$	−31.6922	+	31.6922i	−1.08258	+	1.08258i	−0.996268	+	0.0863156i	$0.972491\pi$
$858$	14.4592	+	9.46374i	0.493627	+	0.323087i
$859$	−22.1353			−0.755245			−0.377623	−	0.925960i	$-0.623258\pi$
$859$	−22.1353			−0.755245			−0.377623	+	0.925960i	$0.623258\pi$
$860$	−17.5217	+	10.7580i	−0.597485	+	0.366844i
$861$	−19.5450			−0.666090
$862$	35.1915	+	23.0334i	1.19863	+	0.784520i
$863$	16.0017	−	16.0017i	0.544703	−	0.544703i	−0.380201	−	0.924904i	$-0.624145\pi$
$863$	16.0017	−	16.0017i	0.544703	−	0.544703i	0.924904	+	0.380201i	$0.124145\pi$
$864$	21.0673	−	35.0247i	0.716725	−	1.19156i
$865$	−22.2272	+	3.10795i	−0.755748	+	0.105674i
$866$	−1.82655	+	0.381407i	−0.0620687	+	0.0129607i
$867$	−34.8324	−	34.8324i	−1.18297	−	1.18297i
$868$	11.2879	+	4.42613i	0.383137	+	0.150233i
$869$			9.19371i			0.311875i
$870$	25.7510	−	54.6110i	0.873040	−	1.85149i
$871$		−	9.84245i		−	0.333499i
$872$	3.87559	−	22.8747i	0.131244	−	0.774637i
$873$	30.2018	+	30.2018i	1.02217	+	1.02217i
$874$	−0.770404	−	3.68944i	−0.0260593	−	0.124797i
$875$	5.41288	+	12.2266i	0.182989	+	0.413335i
$876$	8.48983	+	19.4424i	0.286845	+	0.656897i
$877$	26.3522	−	26.3522i	0.889850	−	0.889850i	−0.104658	−	0.994508i	$-0.533375\pi$
$877$	26.3522	−	26.3522i	0.889850	−	0.889850i	0.994508	+	0.104658i	$0.0333748\pi$
$878$	−14.5867	+	22.2862i	−0.492276	+	0.752122i
$879$	−49.0319			−1.65381
$880$	36.9434	−	6.60616i	1.24536	−	0.222694i
$881$	−34.0938			−1.14865			−0.574325	−	0.818627i	$-0.694735\pi$
$881$	−34.0938			−1.14865			−0.574325	+	0.818627i	$0.694735\pi$
$882$	23.6431	−	36.1230i	0.796104	−	1.21633i
$883$	−3.30206	+	3.30206i	−0.111123	+	0.111123i	−0.760482	−	0.649359i	$-0.775037\pi$
$883$	−3.30206	+	3.30206i	−0.111123	+	0.111123i	0.649359	+	0.760482i	$0.275037\pi$
$884$	−0.233243	−	0.534146i	−0.00784482	−	0.0179653i
$885$	9.87786	+	70.6437i	0.332041	+	2.37466i
$886$	5.18577	+	24.8345i	0.174219	+	0.834332i
$887$	−31.6204	−	31.6204i	−1.06171	−	1.06171i	−0.997966	−	0.0637435i	$-0.979696\pi$
$887$	−31.6204	−	31.6204i	−1.06171	−	1.06171i	−0.0637435	−	0.997966i	$-0.520304\pi$
$888$	−16.5236	+	97.5266i	−0.554496	+	3.27278i
$889$			10.3776i			0.348054i
$890$	−44.6730	+	16.0432i	−1.49744	+	0.537769i
$891$			19.2954i			0.646419i
$892$	−1.19616	−	0.469028i	−0.0400503	−	0.0157042i
$893$	−43.1326	−	43.1326i	−1.44338	−	1.44338i
$894$	1.43832	−	0.300339i	0.0481045	−	0.0100448i
$895$	−16.3885	+	21.7165i	−0.547806	+	0.725904i
$896$	13.4169	+	1.75151i	0.448227	+	0.0585137i
$897$	−1.13390	+	1.13390i	−0.0378597	+	0.0378597i
$898$	−18.7875	−	12.2967i	−0.626946	−	0.410346i
$899$	33.2335			1.10840
$900$	34.8703	+	42.2875i	1.16234	+	1.40958i
$901$	−0.0294290			−0.000980422
$902$	−27.8620	−	18.2361i	−0.927705	−	0.607197i
$903$	11.3227	−	11.3227i	0.376795	−	0.376795i
$904$	−14.3997	−	20.2744i	−0.478925	−	0.674315i
$905$	17.5996	−	23.3215i	0.585032	−	0.775233i
$906$	−5.90168	+	1.23235i	−0.196070	+	0.0409420i
$907$	−19.5515	−	19.5515i	−0.649196	−	0.649196i	0.303603	−	0.952799i	$-0.401810\pi$
$907$	−19.5515	−	19.5515i	−0.649196	−	0.649196i	−0.952799	+	0.303603i	$0.901810\pi$
$908$	18.2705	−	46.5951i	0.606328	−	1.54631i
$909$		−	34.8300i		−	1.15524i
$910$	−3.55938	+	1.27826i	−0.117992	+	0.0423740i
$911$		−	17.5979i		−	0.583043i	−0.956564	−	0.291522i	$-0.905838\pi$
$911$		−	17.5979i		−	0.583043i	0.956564	−	0.291522i	$-0.0941615\pi$
$912$	−2.14322	−	56.3404i	−0.0709690	−	1.86562i
$913$	46.9547	+	46.9547i	1.55397	+	1.55397i
$914$	5.93677	+	28.4310i	0.196371	+	0.940415i
$915$	−3.22822	−	23.0873i	−0.106722	−	0.763244i
$916$	5.16415	−	2.25501i	0.170628	−	0.0745076i
$917$	−2.08144	+	2.08144i	−0.0687351	+	0.0687351i
$918$	1.63078	−	2.49158i	0.0538237	−	0.0822344i
$919$	−44.8302			−1.47881			−0.739407	−	0.673259i	$-0.764894\pi$
$919$	−44.8302			−1.47881			−0.739407	+	0.673259i	$0.764894\pi$
$920$	−0.100656	+	3.48106i	−0.00331852	+	0.114767i
$921$	−99.8497			−3.29016
$922$	−4.88186	+	7.45873i	−0.160775	+	0.245640i
$923$	−3.26057	+	3.26057i	−0.107323	+	0.107323i
$924$	−26.7855	+	11.6963i	−0.881180	+	0.384781i
$925$	−52.4748	−	29.1834i	−1.72536	−	0.959545i
$926$	8.37661	+	40.1154i	0.275272	+	1.31827i
$927$	16.0990	+	16.0990i	0.528759	+	0.528759i
$928$	35.9900	−	8.95540i	1.18143	−	0.293976i
$929$			14.0437i			0.460758i	0.973101	+	0.230379i	$0.0739966\pi$
$929$			14.0437i			0.460758i	−0.973101	+	0.230379i	$0.926003\pi$
$930$	−19.9097	+	42.2232i	−0.652865	+	1.38455i
$931$		−	26.9576i		−	0.883498i
$932$	−11.3901	+	29.0480i	−0.373094	+	0.951498i
$933$	−23.8752	−	23.8752i	−0.781639	−	0.781639i
$934$	22.3096	−	4.65853i	0.729992	−	0.152432i
$935$	2.70791	−	0.378638i	0.0885582	−	0.0123828i
$936$	−12.6392	+	8.97686i	−0.413125	+	0.293418i
$937$	−20.8706	+	20.8706i	−0.681811	+	0.681811i	−0.960408	−	0.278597i	$-0.910131\pi$
$937$	−20.8706	+	20.8706i	−0.681811	+	0.681811i	0.278597	+	0.960408i	$0.410131\pi$
$938$	13.9287	+	9.11656i	0.454788	+	0.297666i
$939$	−93.2143			−3.04193
$940$	29.4902	+	48.0311i	0.961863	+	1.56660i
$941$	46.8318			1.52667			0.763337	−	0.646001i	$-0.223560\pi$
$941$	46.8318			1.52667			0.763337	+	0.646001i	$0.223560\pi$
$942$	−8.59344	−	5.62454i	−0.279989	−	0.183257i
$943$	2.18496	−	2.18496i	0.0711520	−	0.0711520i
$944$	−29.7822	+	32.1376i	−0.969328	+	1.04599i
$945$	−15.4233	−	11.6392i	−0.501719	−	0.378624i
$946$	26.7054	−	5.57643i	0.868266	−	0.181305i
$947$	3.37955	+	3.37955i	0.109821	+	0.109821i	0.759882	−	0.650061i	$-0.225257\pi$
$947$	3.37955	+	3.37955i	0.109821	+	0.109821i	−0.650061	+	0.759882i	$0.725257\pi$
$948$	−11.8812	−	4.65878i	−0.385885	−	0.151310i
$949$		−	3.64244i		−	0.118239i
$950$	32.6786	+	10.1693i	1.06023	+	0.329935i
$951$		−	3.57027i		−	0.115774i
$952$	0.971947	+	0.164674i	0.0315010	+	0.00533711i
$953$	27.3247	+	27.3247i	0.885135	+	0.885135i	0.994051	−	0.108916i	$-0.0347379\pi$
$953$	27.3247	+	27.3247i	0.885135	+	0.885135i	−0.108916	+	0.994051i	$0.534738\pi$
$954$	0.159998	+	0.766228i	0.00518014	+	0.0248076i
$955$	24.8794	+	18.7753i	0.805078	+	0.607555i
$956$	0.351043	+	0.803916i	0.0113535	+	0.0260005i
$957$	−56.6486	+	56.6486i	−1.83119	+	1.83119i
$958$	20.9984	−	32.0823i	0.678427	−	1.03653i
$959$	1.76895			0.0571224
$960$	−10.1833	+	51.0904i	−0.328663	+	1.64894i
$961$	5.30506			0.171131
$962$	9.30059	−	14.2099i	0.299863	−	0.458145i
$963$	−30.1921	+	30.1921i	−0.972928	+	0.972928i
$964$	5.18854	+	11.8822i	0.167112	+	0.382699i
$965$	14.2982	−	1.99927i	0.460275	−	0.0643587i
$966$	−0.554382	−	2.65492i	−0.0178369	−	0.0854206i
$967$	13.5761	+	13.5761i	0.436578	+	0.436578i	0.890859	−	0.454280i	$-0.150104\pi$
$967$	13.5761	+	13.5761i	0.436578	+	0.436578i	−0.454280	+	0.890859i	$0.650104\pi$
$968$	−18.4213	−	3.12107i	−0.592084	−	0.100315i
$969$		−	4.10772i		−	0.131959i
$970$	−22.2889	−	10.5100i	−0.715653	−	0.337455i
$971$		−	8.11728i		−	0.260496i	−0.991481	−	0.130248i	$-0.958423\pi$
$971$		−	8.11728i		−	0.260496i	0.991481	−	0.130248i	$-0.0415773\pi$
$972$	15.4242	+	6.04801i	0.494731	+	0.193990i
$973$	−3.65945	−	3.65945i	−0.117317	−	0.117317i
$974$	11.9111	−	2.48718i	0.381655	−	0.0796945i
$975$	−3.99397	−	14.0026i	−0.127909	−	0.448443i
$976$	9.73323	−	10.5030i	0.311553	−	0.336194i
$977$	9.33818	−	9.33818i	0.298755	−	0.298755i	−0.541771	−	0.840526i	$-0.682246\pi$
$977$	9.33818	−	9.33818i	0.298755	−	0.298755i	0.840526	+	0.541771i	$0.182246\pi$
$978$	−54.5570	−	35.7084i	−1.74454	−	1.14183i
$979$	62.9816			2.01290
$980$	−5.79398	+	24.2251i	−0.185082	+	0.773844i
$981$	−44.9592			−1.43544
$982$	−33.3291	−	21.8144i	−1.06357	−	0.696126i
$983$	−12.4357	+	12.4357i	−0.396638	+	0.396638i	−0.877045	−	0.480408i	$-0.840489\pi$
$983$	−12.4357	+	12.4357i	−0.396638	+	0.396638i	0.480408	+	0.877045i	$0.340489\pi$
$984$	37.6857	−	26.7659i	1.20138	−	0.853264i
$985$	5.87681	+	42.0293i	0.187251	+	1.33916i
$986$	2.64501	−	0.552312i	0.0842342	−	0.0175892i
$987$	−31.0381	−	31.0381i	−0.987955	−	0.987955i
$988$	−3.53374	+	9.01205i	−0.112423	+	0.286712i
$989$			2.53155i			0.0804988i
$990$	−24.5807	−	68.4460i	−0.781225	−	2.17536i
$991$		−	27.4991i		−	0.873539i	−0.899573	−	0.436769i	$-0.856123\pi$
$991$		−	27.4991i		−	0.873539i	0.899573	−	0.436769i	$-0.143877\pi$
$992$	−27.8262	+	6.92399i	−0.883482	+	0.219837i
$993$	14.2317	+	14.2317i	0.451630	+	0.451630i
$994$	−1.59415	−	7.63434i	−0.0505634	−	0.242147i
$995$	11.0527	−	14.6461i	0.350395	−	0.464313i
$996$	−84.4742	+	36.8870i	−2.67667	+	1.16881i
$997$	6.89846	−	6.89846i	0.218476	−	0.218476i	−0.589380	−	0.807856i	$-0.700628\pi$
$997$	6.89846	−	6.89846i	0.218476	−	0.218476i	0.807856	+	0.589380i	$0.200628\pi$
$998$	14.9654	−	22.8649i	0.473722	−	0.723776i
$999$	86.7672			2.74519

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.o.a.183.11	yes	72
4.3	odd	2	inner	260.2.o.a.183.8	yes	72
5.2	odd	4	inner	260.2.o.a.27.8	✓	72
20.7	even	4	inner	260.2.o.a.27.11	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.o.a.27.8	✓	72	5.2	odd	4	inner
260.2.o.a.27.11	yes	72	20.7	even	4	inner
260.2.o.a.183.8	yes	72	4.3	odd	2	inner
260.2.o.a.183.11	yes	72	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.o (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.774482 + 1.18329i) q^{2} +(-2.05925 + 2.05925i) q^{3} +(-0.800354 - 1.83288i) q^{4} +(1.34695 - 1.78486i) q^{5} +(-0.841839 - 4.03155i) q^{6} +(-0.845670 - 0.845670i) q^{7} +(2.78869 + 0.472478i) q^{8} -5.48103i q^{9} +O(q^{10})\)	\(q+(-0.774482 + 1.18329i) q^{2} +(-2.05925 + 2.05925i) q^{3} +(-0.800354 - 1.83288i) q^{4} +(1.34695 - 1.78486i) q^{5} +(-0.841839 - 4.03155i) q^{6} +(-0.845670 - 0.845670i) q^{7} +(2.78869 + 0.472478i) q^{8} -5.48103i q^{9} +(1.06882 + 2.97618i) q^{10} -4.19592i q^{11} +(5.42248 + 2.12622i) q^{12} +(-0.707107 - 0.707107i) q^{13} +(1.65563 - 0.345717i) q^{14} +(0.901767 + 6.44918i) q^{15} +(-2.71887 + 2.93390i) q^{16} +(-0.206069 + 0.206069i) q^{17} +(6.48565 + 4.24496i) q^{18} +4.84005 q^{19} +(-4.34946 - 1.04027i) q^{20} +3.48290 q^{21} +(4.96499 + 3.24967i) q^{22} +(-0.389358 + 0.389358i) q^{23} +(-6.71555 + 4.76965i) q^{24} +(-1.37145 - 4.80823i) q^{25} +(1.38435 - 0.289071i) q^{26} +(5.10906 + 5.10906i) q^{27} +(-0.873173 + 2.22684i) q^{28} +6.55621i q^{29} +(-8.32966 - 3.92773i) q^{30} -5.06902i q^{31} +(-1.36594 - 5.48946i) q^{32} +(8.64045 + 8.64045i) q^{33} +(-0.0842426 - 0.403436i) q^{34} +(-2.64848 + 0.370328i) q^{35} +(-10.0460 + 4.38677i) q^{36} +(8.49149 - 8.49149i) q^{37} +(-3.74853 + 5.72719i) q^{38} +2.91222 q^{39} +(4.59953 - 4.34101i) q^{40} -5.61170 q^{41} +(-2.69744 + 4.12128i) q^{42} +(3.25094 - 3.25094i) q^{43} +(-7.69060 + 3.35822i) q^{44} +(-9.78287 - 7.38267i) q^{45} +(-0.159173 - 0.762274i) q^{46} +(-8.91159 - 8.91159i) q^{47} +(-0.442809 - 11.6405i) q^{48} -5.56968i q^{49} +(6.75170 + 2.10107i) q^{50} -0.848694i q^{51} +(-0.730103 + 1.86197i) q^{52} +(0.0714058 + 0.0714058i) q^{53} +(-10.0024 + 2.08863i) q^{54} +(-7.48913 - 5.65169i) q^{55} +(-1.95875 - 2.75787i) q^{56} +(-9.96688 + 9.96688i) q^{57} +(-7.75790 - 5.07767i) q^{58} +10.9539 q^{59} +(11.0988 - 6.81446i) q^{60} -3.57989 q^{61} +(5.99812 + 3.92586i) q^{62} +(-4.63514 + 4.63514i) q^{63} +(7.55353 + 2.63518i) q^{64} +(-2.21452 + 0.309649i) q^{65} +(-16.9160 + 3.53229i) q^{66} +(6.95966 + 6.95966i) q^{67} +(0.542626 + 0.212770i) q^{68} -1.60357i q^{69} +(1.61299 - 3.42073i) q^{70} -4.61114i q^{71} +(2.58966 - 15.2849i) q^{72} +(2.57559 + 2.57559i) q^{73} +(3.47140 + 16.6244i) q^{74} +(12.7255 + 7.07720i) q^{75} +(-3.87376 - 8.87121i) q^{76} +(-3.54836 + 3.54836i) q^{77} +(-2.25546 + 3.44600i) q^{78} -2.19111 q^{79} +(1.57442 + 8.80461i) q^{80} -4.59860 q^{81} +(4.34616 - 6.64027i) q^{82} +(-11.1906 + 11.1906i) q^{83} +(-2.78755 - 6.38371i) q^{84} +(0.0902396 + 0.645368i) q^{85} +(1.32901 + 6.36460i) q^{86} +(-13.5009 - 13.5009i) q^{87} +(1.98248 - 11.7011i) q^{88} +15.0102i q^{89} +(16.3125 - 5.85823i) q^{90} +1.19596i q^{91} +(1.02527 + 0.402020i) q^{92} +(10.4384 + 10.4384i) q^{93} +(17.4469 - 3.64313i) q^{94} +(6.51931 - 8.63882i) q^{95} +(14.1170 + 8.49136i) q^{96} +(-5.51024 + 5.51024i) q^{97} +(6.59056 + 4.31362i) q^{98} -22.9980 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) \) 72 * q - 8 * q^6 - 12 * q^8	\( 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) \) 72 * q - 8 * q^6 - 12 * q^8 - 8 * q^10 - 8 * q^12 - 8 * q^16 + 28 * q^18 - 16 * q^21 - 8 * q^22 - 20 * q^28 - 32 * q^30 - 40 * q^32 + 16 * q^33 + 32 * q^36 - 12 * q^38 - 8 * q^40 - 40 * q^42 - 8 * q^46 + 60 * q^48 + 40 * q^50 + 8 * q^52 - 48 * q^53 + 8 * q^56 - 60 * q^58 + 20 * q^60 - 64 * q^61 + 60 * q^62 + 8 * q^66 - 16 * q^68 - 60 * q^70 + 40 * q^72 - 16 * q^73 - 72 * q^76 + 48 * q^77 - 20 * q^80 + 8 * q^81 - 12 * q^82 + 48 * q^85 + 48 * q^86 + 12 * q^88 + 44 * q^90 - 36 * q^92 + 16 * q^93 + 32 * q^96 - 80 * q^97 - 32 * q^98

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