LMFDB - Embedded newform 798.2.cc.b.317.8

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [798,2,Mod(317,798)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(798, base_ring=CyclotomicField(18)) chi = DirichletCharacter(H, H._module([9, 6, 5])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("798.317"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 798 = 2 \cdot 3 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	798.cc (of order $18$, degree $6$, minimal)

Newform invariants

comment:select newform

sage:traces = [162,0,0,0,0,0,0,81] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(8)] == traces)

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

Self dual:	no
Analytic conductor:	$6.37206208130$
Analytic rank:	$0$
Dimension:	$162$
Relative dimension:	$27$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			317.8
Character	$\chi$	$=$	798.317
Dual form			798.2.cc.b.725.8

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.173648 - 0.984808i) q^{2} +(-1.16044 + 1.28583i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-0.749562 + 2.05941i) q^{5} +(1.46781 + 0.919531i) q^{6} +(-1.89892 + 1.84231i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.306742 - 2.98428i) q^{9} +(2.15828 + 0.380563i) q^{10} +(-0.467544 - 0.269937i) q^{11} +(0.650679 - 1.60518i) q^{12} +(0.971005 + 2.66782i) q^{13} +(2.14406 + 1.55016i) q^{14} +(-1.77823 - 3.35364i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-1.66776 + 4.58213i) q^{17} +(-2.88567 + 0.820296i) q^{18} +(-0.730907 - 4.29718i) q^{19} -2.19157i q^{20} +(-0.165307 - 4.57959i) q^{21} +(-0.184648 + 0.507315i) q^{22} +(-0.442200 + 0.526994i) q^{23} +(-1.69379 - 0.362056i) q^{24} +(0.150916 + 0.126634i) q^{25} +(2.45867 - 1.41952i) q^{26} +(4.19324 + 3.06866i) q^{27} +(1.15430 - 2.38067i) q^{28} +(-0.505540 - 0.424198i) q^{29} +(-2.99390 + 2.33357i) q^{30} -10.7634i q^{31} +(-0.766044 - 0.642788i) q^{32} +(0.889653 - 0.287938i) q^{33} +(4.80212 + 0.846744i) q^{34} +(-2.37069 - 5.29158i) q^{35} +(1.30893 + 2.69939i) q^{36} +(-9.67075 - 5.58341i) q^{37} +(-4.10498 + 1.46600i) q^{38} +(-4.55717 - 1.84730i) q^{39} +(-2.15828 + 0.380563i) q^{40} +(-6.13074 - 2.23141i) q^{41} +(-4.48131 + 0.958033i) q^{42} +(-1.91435 - 10.8568i) q^{43} +(0.531672 + 0.0937481i) q^{44} +(6.37576 + 1.60519i) q^{45} +(0.595775 + 0.343971i) q^{46} +(2.00002 + 5.49501i) q^{47} +(-0.0624325 + 1.73093i) q^{48} +(0.211823 - 6.99679i) q^{49} +(0.0985035 - 0.170613i) q^{50} +(-3.95653 - 7.46177i) q^{51} +(-1.82489 - 2.17482i) q^{52} +(-12.1458 + 4.42070i) q^{53} +(2.29390 - 4.66241i) q^{54} +(0.906363 - 0.760529i) q^{55} +(-2.54495 - 0.723364i) q^{56} +(6.37364 + 4.04681i) q^{57} +(-0.329968 + 0.571521i) q^{58} +(10.7164 + 3.90046i) q^{59} +(2.81800 + 2.54320i) q^{60} +(9.11457 + 7.64803i) q^{61} +(-10.5999 + 1.86905i) q^{62} +(6.08043 + 5.10180i) q^{63} +(-0.500000 + 0.866025i) q^{64} -6.22194 q^{65} +(-0.438050 - 0.826137i) q^{66} +(-3.46739 - 0.611395i) q^{67} -4.87621i q^{68} +(-0.164479 - 1.18014i) q^{69} +(-4.79952 + 3.25355i) q^{70} +(-2.12172 - 12.0329i) q^{71} +(2.43109 - 1.75779i) q^{72} +(0.520536 + 2.95210i) q^{73} +(-3.81928 + 10.4934i) q^{74} +(-0.337960 + 0.0471020i) q^{75} +(2.15655 + 3.78805i) q^{76} +(1.38514 - 0.348770i) q^{77} +(-1.02789 + 4.80871i) q^{78} +(9.01042 + 10.7382i) q^{79} +(0.749562 + 2.05941i) q^{80} +(-8.81182 + 1.83081i) q^{81} +(-1.13291 + 6.42508i) q^{82} +(-10.2444 - 5.91459i) q^{83} +(1.72165 + 4.24687i) q^{84} +(-8.18638 - 6.86919i) q^{85} +(-10.3595 + 3.77054i) q^{86} +(1.13210 - 0.157783i) q^{87} -0.539874i q^{88} +(0.168991 - 0.958394i) q^{89} +(0.473669 - 6.55763i) q^{90} +(-6.75880 - 3.27709i) q^{91} +(0.235290 - 0.646454i) q^{92} +(13.8400 + 12.4904i) q^{93} +(5.06423 - 2.92383i) q^{94} +(9.39750 + 1.71577i) q^{95} +(1.71547 - 0.239088i) q^{96} +(-2.28522 - 2.72342i) q^{97} +(-6.92728 + 1.00638i) q^{98} +(-0.662151 + 1.47808i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 162 q + 81 q^{8} + 15 q^{13} - 9 q^{14} + 3 q^{15} - 12 q^{17} + 18 q^{18} - 36 q^{19} - 6 q^{22} + 12 q^{25} + 9 q^{27} - 12 q^{28} - 6 q^{29} - 12 q^{33} + 6 q^{34} + 12 q^{35} - 18 q^{37} - 9 q^{39}+ \cdots + 39 q^{99}+O(q^{100}) $ 162 * q + 81 * q^8 + 15 * q^13 - 9 * q^14 + 3 * q^15 - 12 * q^17 + 18 * q^18 - 36 * q^19 - 6 * q^22 + 12 * q^25 + 9 * q^27 - 12 * q^28 - 6 * q^29 - 12 * q^33 + 6 * q^34 + 12 * q^35 - 18 * q^37 - 9 * q^39 - 9 * q^43 - 6 * q^44 + 18 * q^45 - 18 * q^46 - 12 * q^47 + 24 * q^49 - 87 * q^50 + 24 * q^51 + 12 * q^52 + 36 * q^53 + 18 * q^54 - 18 * q^57 - 24 * q^59 - 27 * q^60 - 9 * q^61 - 36 * q^62 + 6 * q^63 - 81 * q^64 + 72 * q^65 + 12 * q^66 - 63 * q^67 - 9 * q^69 + 12 * q^70 - 12 * q^71 - 51 * q^73 + 42 * q^74 - 18 * q^78 + 21 * q^79 - 12 * q^81 + 3 * q^84 - 6 * q^85 - 36 * q^86 - 84 * q^87 + 54 * q^89 + 12 * q^90 + 75 * q^91 - 66 * q^93 + 72 * q^94 - 12 * q^97 - 12 * q^98 + 39 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/798\mathbb{Z}\right)^\times$.

$n$	$115$	$211$	$533$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{18}\right)$	$-1$

Coefficient data

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

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

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

$2$	−0.173648	−	0.984808i	−0.122788	−	0.696364i
$2$	−0.173648	−	0.984808i	−0.122788	−	0.696364i
$3$	−1.16044	+	1.28583i	−0.669982	+	0.742377i
$3$	−1.16044	+	1.28583i	−0.669982	+	0.742377i
$4$	−0.939693	+	0.342020i	−0.469846	+	0.171010i
$5$	−0.749562	+	2.05941i	−0.335214	+	0.920994i	0.651517	+	0.758634i	$0.274133\pi$
$5$	−0.749562	+	2.05941i	−0.335214	+	0.920994i	−0.986732	+	0.162360i	$0.948089\pi$
$6$	1.46781	+	0.919531i	0.599230	+	0.375397i
$7$	−1.89892	+	1.84231i	−0.717726	+	0.696326i
$7$	−1.89892	+	1.84231i	−0.717726	+	0.696326i
$8$	0.500000	+	0.866025i	0.176777	+	0.306186i
$9$	−0.306742	−	2.98428i	−0.102247	−	0.994759i
$10$	2.15828	+	0.380563i	0.682508	+	0.120344i
$11$	−0.467544	−	0.269937i	−0.140970	−	0.0813890i	0.427856	−	0.903847i	$-0.359269\pi$
$11$	−0.467544	−	0.269937i	−0.140970	−	0.0813890i	−0.568826	+	0.822458i	$0.692602\pi$
$12$	0.650679	−	1.60518i	0.187835	−	0.463377i
$13$	0.971005	+	2.66782i	0.269308	+	0.739919i	0.998455	+	0.0555616i	$0.0176949\pi$
$13$	0.971005	+	2.66782i	0.269308	+	0.739919i	−0.729147	+	0.684357i	$0.760083\pi$
$14$	2.14406	+	1.55016i	0.573024	+	0.414298i
$15$	−1.77823	−	3.35364i	−0.459137	−	0.865905i
$16$	0.766044	−	0.642788i	0.191511	−	0.160697i
$17$	−1.66776	+	4.58213i	−0.404491	+	1.11133i	0.555553	+	0.831481i	$0.312507\pi$
$17$	−1.66776	+	4.58213i	−0.404491	+	1.11133i	−0.960044	+	0.279849i	$0.909715\pi$
$18$	−2.88567	+	0.820296i	−0.680160	+	0.193346i
$19$	−0.730907	−	4.29718i	−0.167682	−	0.985841i
$19$	−0.730907	−	4.29718i	−0.167682	−	0.985841i
$20$		−	2.19157i		−	0.490051i
$21$	−0.165307	−	4.57959i	−0.0360729	−	0.999349i
$22$	−0.184648	+	0.507315i	−0.0393670	+	0.108160i
$23$	−0.442200	+	0.526994i	−0.0922051	+	0.109886i	−0.810174	−	0.586189i	$-0.800627\pi$
$23$	−0.442200	+	0.526994i	−0.0922051	+	0.109886i	0.717969	+	0.696075i	$0.245072\pi$
$24$	−1.69379	−	0.362056i	−0.345743	−	0.0739044i
$25$	0.150916	+	0.126634i	0.0301832	+	0.0253267i
$26$	2.45867	−	1.41952i	0.482185	−	0.278390i
$27$	4.19324	+	3.06866i	0.806990	+	0.590565i
$28$	1.15430	−	2.38067i	0.218142	−	0.449904i
$29$	−0.505540	−	0.424198i	−0.0938763	−	0.0787716i	0.594642	−	0.803991i	$-0.297294\pi$
$29$	−0.505540	−	0.424198i	−0.0938763	−	0.0787716i	−0.688518	+	0.725219i	$0.741738\pi$
$30$	−2.99390	+	2.33357i	−0.546609	+	0.426049i
$31$		−	10.7634i		−	1.93317i	−0.256347	−	0.966585i	$-0.582519\pi$
$31$		−	10.7634i		−	1.93317i	0.256347	−	0.966585i	$-0.417481\pi$
$32$	−0.766044	−	0.642788i	−0.135419	−	0.113630i
$33$	0.889653	−	0.287938i	0.154869	−	0.0501236i
$34$	4.80212	+	0.846744i	0.823558	+	0.145215i
$35$	−2.37069	−	5.29158i	−0.400720	−	0.894440i
$36$	1.30893	+	2.69939i	0.218154	+	0.449899i
$37$	−9.67075	−	5.58341i	−1.58986	−	0.917907i	−0.993329	−	0.115318i	$-0.963211\pi$
$37$	−9.67075	−	5.58341i	−1.58986	−	0.917907i	−0.596533	−	0.802589i	$-0.703455\pi$
$38$	−4.10498	+	1.46600i	−0.665915	+	0.237817i
$39$	−4.55717	−	1.84730i	−0.729731	−	0.295804i
$40$	−2.15828	+	0.380563i	−0.341254	+	0.0601722i
$41$	−6.13074	−	2.23141i	−0.957461	−	0.348487i	−0.184423	−	0.982847i	$-0.559042\pi$
$41$	−6.13074	−	2.23141i	−0.957461	−	0.348487i	−0.773038	+	0.634360i	$0.781264\pi$
$42$	−4.48131	+	0.958033i	−0.691482	+	0.147828i
$43$	−1.91435	−	10.8568i	−0.291936	−	1.65565i	−0.679400	−	0.733768i	$-0.737760\pi$
$43$	−1.91435	−	10.8568i	−0.291936	−	1.65565i	0.387463	−	0.921885i	$-0.373351\pi$
$44$	0.531672	+	0.0937481i	0.0801525	+	0.0141331i
$45$	6.37576	+	1.60519i	0.950442	+	0.239288i
$46$	0.595775	+	0.343971i	0.0878422	+	0.0507157i
$47$	2.00002	+	5.49501i	0.291733	+	0.801530i	0.995813	+	0.0914094i	$0.0291372\pi$
$47$	2.00002	+	5.49501i	0.291733	+	0.801530i	−0.704080	+	0.710120i	$0.748641\pi$
$48$	−0.0624325	+	1.73093i	−0.00901136	+	0.249838i
$49$	0.211823	−	6.99679i	0.0302604	−	0.999542i
$50$	0.0985035	−	0.170613i	0.0139305	−	0.0241283i
$51$	−3.95653	−	7.46177i	−0.554024	−	1.04486i
$52$	−1.82489	−	2.17482i	−0.253067	−	0.301594i
$53$	−12.1458	+	4.42070i	−1.66835	+	0.607230i	−0.991642	−	0.129021i	$-0.958817\pi$
$53$	−12.1458	+	4.42070i	−1.66835	+	0.607230i	−0.676709	+	0.736251i	$0.736594\pi$
$54$	2.29390	−	4.66241i	0.312160	−	0.634473i
$55$	0.906363	−	0.760529i	0.122214	−	0.102550i
$56$	−2.54495	−	0.723364i	−0.340083	−	0.0966635i
$57$	6.37364	+	4.04681i	0.844210	+	0.536013i
$58$	−0.329968	+	0.571521i	−0.0433269	+	0.0750443i
$59$	10.7164	+	3.90046i	1.39516	+	0.507797i	0.926738	−	0.375708i	$-0.122600\pi$
$59$	10.7164	+	3.90046i	1.39516	+	0.507797i	0.468422	+	0.883505i	$0.344823\pi$
$60$	2.81800	+	2.54320i	0.363802	+	0.328325i
$61$	9.11457	+	7.64803i	1.16700	+	0.979230i	0.999977	−	0.00672294i	$-0.00213999\pi$
$61$	9.11457	+	7.64803i	1.16700	+	0.979230i	0.167023	+	0.985953i	$0.446584\pi$
$62$	−10.5999	+	1.86905i	−1.34619	+	0.237370i
$63$	6.08043	+	5.10180i	0.766062	+	0.642767i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	−6.22194			−0.771737
$66$	−0.438050	−	0.826137i	−0.0539203	−	0.101690i
$67$	−3.46739	−	0.611395i	−0.423609	−	0.0746938i	−0.0422202	−	0.999108i	$-0.513443\pi$
$67$	−3.46739	−	0.611395i	−0.423609	−	0.0746938i	−0.381389	+	0.924415i	$0.624554\pi$
$68$		−	4.87621i		−	0.591327i
$69$	−0.164479	−	1.18014i	−0.0198009	−	0.142073i
$70$	−4.79952	+	3.25355i	−0.573652	+	0.388873i
$71$	−2.12172	−	12.0329i	−0.251802	−	1.42804i	−0.804149	−	0.594427i	$-0.797379\pi$
$71$	−2.12172	−	12.0329i	−0.251802	−	1.42804i	0.552347	−	0.833614i	$-0.313732\pi$
$72$	2.43109	−	1.75779i	0.286507	−	0.207157i
$73$	0.520536	+	2.95210i	0.0609241	+	0.345518i	0.999998	+	0.00180344i	$0.000574052\pi$
$73$	0.520536	+	2.95210i	0.0609241	+	0.345518i	−0.939074	+	0.343714i	$0.888315\pi$
$74$	−3.81928	+	10.4934i	−0.443982	+	1.21983i
$75$	−0.337960	+	0.0471020i	−0.0390242	+	0.00543887i
$76$	2.15655	+	3.78805i	0.247373	+	0.434519i
$77$	1.38514	−	0.348770i	0.157851	−	0.0397460i
$78$	−1.02789	+	4.80871i	−0.116385	+	0.544480i
$79$	9.01042	+	10.7382i	1.01375	+	1.20814i	0.977962	+	0.208783i	$0.0669503\pi$
$79$	9.01042	+	10.7382i	1.01375	+	1.20814i	0.0357901	+	0.999359i	$0.488605\pi$
$80$	0.749562	+	2.05941i	0.0838036	+	0.230248i
$81$	−8.81182	+	1.83081i	−0.979091	+	0.203423i
$82$	−1.13291	+	6.42508i	−0.125110	+	0.709531i
$83$	−10.2444	−	5.91459i	−1.12447	−	0.649211i	−0.181929	−	0.983312i	$-0.558234\pi$
$83$	−10.2444	−	5.91459i	−1.12447	−	0.649211i	−0.942537	+	0.334101i	$0.891567\pi$
$84$	1.72165	+	4.24687i	0.187847	+	0.463372i
$85$	−8.18638	−	6.86919i	−0.887938	−	0.745068i
$86$	−10.3595	+	3.77054i	−1.11709	+	0.406588i
$87$	1.13210	−	0.157783i	0.121374	−	0.0169161i
$88$		−	0.539874i		−	0.0575507i
$89$	0.168991	−	0.958394i	0.0179130	−	0.101590i	−0.974540	−	0.224212i	$-0.928019\pi$
$89$	0.168991	−	0.958394i	0.0179130	−	0.101590i	0.992453	+	0.122622i	$0.0391304\pi$
$90$	0.473669	−	6.55763i	0.0499291	−	0.691235i
$91$	−6.75880	−	3.27709i	−0.708514	−	0.343532i
$92$	0.235290	−	0.646454i	0.0245307	−	0.0673975i
$93$	13.8400	+	12.4904i	1.43514	+	1.29519i
$94$	5.06423	−	2.92383i	0.522335	−	0.301570i
$95$	9.39750	+	1.71577i	0.964163	+	0.176035i
$96$	1.71547	−	0.239088i	0.175084	−	0.0244018i
$97$	−2.28522	−	2.72342i	−0.232029	−	0.276521i	0.637450	−	0.770492i	$-0.279989\pi$
$97$	−2.28522	−	2.72342i	−0.232029	−	0.276521i	−0.869478	+	0.493971i	$0.835545\pi$
$98$	−6.92728	+	1.00638i	−0.699761	+	0.101659i
$99$	−0.662151	+	1.47808i	−0.0665486	+	0.148553i
$100$	−0.185126	−	0.0673804i	−0.0185126	−	0.00673804i
$101$	−8.06471	+	9.61114i	−0.802468	+	0.956344i	−0.999712	−	0.0240101i	$-0.992357\pi$
$101$	−8.06471	+	9.61114i	−0.802468	+	0.956344i	0.197243	+	0.980355i	$0.436801\pi$
$102$	−6.66137	+	5.19214i	−0.659574	+	0.514099i
$103$		−	3.55291i		−	0.350079i	−0.984561	−	0.175039i	$-0.943995\pi$
$103$		−	3.55291i		−	0.350079i	0.984561	−	0.175039i	$-0.0560053\pi$
$104$	−1.82489	+	2.17482i	−0.178946	+	0.213259i
$105$	9.55515	+	3.09226i	0.932487	+	0.301773i
$106$	6.46263	+	11.1936i	0.627706	+	1.08722i
$107$	6.51225	+	11.2795i	0.629563	+	1.09043i	0.987640	+	0.156742i	$0.0500992\pi$
$107$	6.51225	+	11.2795i	0.629563	+	1.09043i	−0.358077	+	0.933692i	$0.616567\pi$
$108$	−4.98991	−	1.44943i	−0.480154	−	0.139471i
$109$	−4.34026	−	5.17252i	−0.415721	−	0.495437i	0.517025	−	0.855970i	$-0.327039\pi$
$109$	−4.34026	−	5.17252i	−0.415721	−	0.495437i	−0.932746	+	0.360533i	$0.882595\pi$
$110$	−0.906363	−	0.760529i	−0.0864183	−	0.0725136i
$111$	18.4017	−	5.95575i	1.74661	−	0.565295i
$112$	−0.270449	+	2.63189i	−0.0255550	+	0.248690i
$113$	9.49622			0.893329			0.446665	−	0.894701i	$-0.352612\pi$
$113$	9.49622			0.893329			0.446665	+	0.894701i	$0.352612\pi$
$114$	2.87856	−	6.97953i	0.269602	−	0.653693i
$115$	−0.753837	−	1.30568i	−0.0702957	−	0.121756i
$116$	0.620136	+	0.225711i	0.0575782	+	0.0209567i
$117$	7.66365	−	3.71608i	0.708505	−	0.343552i
$118$	1.98032	−	11.2309i	0.182303	−	1.03389i
$119$	−5.27474	−	11.7736i	−0.483535	−	1.07929i
$120$	2.01522	−	3.21681i	0.183963	−	0.293653i
$121$	−5.35427	−	9.27386i	−0.486752	−	0.843079i
$122$	5.94911	−	10.3042i	0.538607	−	0.932895i
$123$	9.98360	−	5.29370i	0.900191	−	0.477317i
$124$	3.68131	+	10.1143i	0.330591	+	0.908293i
$125$	−9.86370	+	5.69481i	−0.882236	+	0.509359i
$126$	3.96844	−	6.87397i	0.353537	−	0.612382i
$127$	2.14046	+	5.88085i	0.189935	+	0.521841i	0.997709	−	0.0676505i	$-0.0215503\pi$
$127$	2.14046	+	5.88085i	0.189935	+	0.521841i	−0.807774	+	0.589492i	$0.799328\pi$
$128$	0.939693	+	0.342020i	0.0830579	+	0.0302306i
$129$	16.1816	+	10.1372i	1.42471	+	0.892532i
$130$	1.08043	+	6.12742i	0.0947599	+	0.537410i
$131$	−2.95584	+	0.521195i	−0.258253	+	0.0455370i	−0.301276	−	0.953537i	$-0.597412\pi$
$131$	−2.95584	+	0.521195i	−0.258253	+	0.0455370i	0.0430225	+	0.999074i	$0.486301\pi$
$132$	−0.737519	+	0.574853i	−0.0641928	+	0.0500345i
$133$	9.30466	+	6.81347i	0.806816	+	0.590803i
$134$			3.52088i			0.304158i
$135$	−9.46272	+	6.33543i	−0.814421	+	0.545267i
$136$	−4.80212	+	0.846744i	−0.411779	+	0.0726077i
$137$	0.102500	+	0.281617i	0.00875720	+	0.0240602i	0.943994	−	0.329962i	$-0.107036\pi$
$137$	0.102500	+	0.281617i	0.00875720	+	0.0240602i	−0.935237	+	0.354022i	$0.884814\pi$
$138$	−1.13365	+	0.366909i	−0.0965029	+	0.0312334i
$139$	1.76743	−	0.643291i	0.149911	−	0.0545632i	−0.265975	−	0.963980i	$-0.585694\pi$
$139$	1.76743	−	0.643291i	0.149911	−	0.0545632i	0.415886	+	0.909417i	$0.363472\pi$
$140$	4.03755	+	4.16163i	0.341235	+	0.351722i
$141$	−9.38659	−	3.80495i	−0.790493	−	0.320435i
$142$	−11.4817	+	4.17898i	−0.963519	+	0.350692i
$143$	0.266154	−	1.50943i	0.0222569	−	0.126225i
$144$	−2.15323	−	2.08892i	−0.179436	−	0.174077i
$145$	1.25253	−	0.723148i	0.104017	−	0.0600542i
$146$	2.81687	−	1.02526i	0.233125	−	0.0848507i
$147$	8.75091	+	8.39175i	0.721763	+	0.692140i
$148$	10.9972	+	1.93910i	0.903962	+	0.159393i
$149$	2.19841	+	2.61997i	0.180101	+	0.214636i	0.848540	−	0.529131i	$-0.177482\pi$
$149$	2.19841	+	2.61997i	0.180101	+	0.214636i	−0.668439	+	0.743767i	$0.733037\pi$
$150$	0.105072	+	0.324646i	0.00857913	+	0.0265072i
$151$	−12.4567	+	7.19188i	−1.01371	+	0.585267i	−0.912276	−	0.409575i	$-0.865677\pi$
$151$	−12.4567	+	7.19188i	−1.01371	+	0.585267i	−0.101436	+	0.994842i	$0.532344\pi$
$152$	3.35602	−	2.78157i	0.272209	−	0.225616i
$153$	14.1859	+	3.57152i	1.14686	+	0.288741i
$154$	−0.583998	−	1.30353i	−0.0470599	−	0.105041i
$155$	22.1663	+	8.06786i	1.78044	+	0.648026i
$156$	4.91415	+	0.177248i	0.393447	+	0.0141912i
$157$	−6.96689	+	5.84592i	−0.556018	+	0.466555i	−0.876973	−	0.480540i	$-0.840441\pi$
$157$	−6.96689	+	5.84592i	−0.556018	+	0.466555i	0.320955	+	0.947095i	$0.395996\pi$
$158$	9.01042	−	10.7382i	0.716831	−	0.854286i
$159$	8.41020	−	20.7474i	0.666972	−	1.64538i
$160$	1.89796	−	1.09579i	0.150047	−	0.0866295i
$161$	−0.131179	−	1.81539i	−0.0103383	−	0.143073i
$162$	3.33315	+	8.36003i	0.261877	+	0.656826i
$163$	−10.3719			−0.812389			−0.406195	−	0.913787i	$-0.633144\pi$
$163$	−10.3719			−0.812389			−0.406195	+	0.913787i	$0.633144\pi$
$164$	6.52420			0.509454
$165$	−0.0738685	+	2.04798i	−0.00575065	+	0.159435i
$166$	−4.04582	+	11.1158i	−0.314016	+	0.862753i
$167$	2.55424	−	14.4858i	0.197653	−	1.12095i	−0.710936	−	0.703257i	$-0.751728\pi$
$167$	2.55424	−	14.4858i	0.197653	−	1.12095i	0.908589	−	0.417691i	$-0.137161\pi$
$168$	3.88339	−	2.43296i	0.299610	−	0.187707i
$169$	3.78419	−	3.17531i	0.291091	−	0.244255i
$170$	−5.34328	+	9.25483i	−0.409811	+	0.709813i
$171$	−12.5998	+	3.49936i	−0.963529	+	0.267602i
$172$	5.51216	+	9.54735i	0.420299	+	0.727979i
$173$	2.81600	+	15.9703i	0.214096	+	1.21420i	0.882468	+	0.470373i	$0.155881\pi$
$173$	2.81600	+	15.9703i	0.214096	+	1.21420i	−0.668372	+	0.743828i	$0.733008\pi$
$174$	−0.351972	−	1.08750i	−0.0266830	−	0.0824432i
$175$	−0.519876	+	0.0375659i	−0.0392989	+	0.00283971i
$176$	−0.531672	+	0.0937481i	−0.0400763	+	0.00706653i
$177$	−17.4512	+	9.25329i	−1.31171	+	0.695520i
$178$	−0.973179			−0.0729428
$179$	0.833585	−	1.44381i	0.0623051	−	0.107916i	−0.833190	−	0.552986i	$-0.813488\pi$
$179$	0.833585	−	1.44381i	0.0623051	−	0.107916i	0.895495	+	0.445071i	$0.146821\pi$
$180$	−6.54026	+	0.672248i	−0.487482	+	0.0501064i
$181$	7.36035	−	8.77173i	0.547091	−	0.651998i	−0.419671	−	0.907676i	$-0.637855\pi$
$181$	7.36035	−	8.77173i	0.547091	−	0.651998i	0.966762	+	0.255679i	$0.0822990\pi$
$182$	−2.05365	+	7.22518i	−0.152227	+	0.535566i
$183$	−20.4110	+	2.84472i	−1.50883	+	0.210288i
$184$	−0.677490	−	0.119460i	−0.0499452	−	0.00880669i
$185$	18.7473	−	15.7309i	1.37833	−	1.15656i
$186$	9.89731	−	15.7987i	0.725706	−	1.15841i
$187$	2.01664	−	1.69216i	0.147471	−	0.123743i
$188$	−3.75881	−	4.47957i	−0.274139	−	0.326706i
$189$	−13.6161	+	1.89808i	−0.990423	+	0.138065i
$190$	0.0578471	−	9.55267i	0.00419667	−	0.693024i
$191$	−17.0398	−	9.83792i	−1.23296	−	0.711847i	−0.265311	−	0.964163i	$-0.585474\pi$
$191$	−17.0398	−	9.83792i	−1.23296	−	0.711847i	−0.967645	+	0.252316i	$0.918808\pi$
$192$	−0.533344	−	1.64789i	−0.0384908	−	0.118926i
$193$	−1.77354	+	0.312723i	−0.127662	+	0.0225103i	−0.237114	−	0.971482i	$-0.576202\pi$
$193$	−1.77354	+	0.312723i	−0.127662	+	0.0225103i	0.109452	+	0.993992i	$0.465090\pi$
$194$	−2.28522	+	2.72342i	−0.164069	+	0.195530i
$195$	7.22021	−	8.00039i	0.517050	−	0.572920i
$196$	2.19400	+	6.64728i	0.156714	+	0.474806i
$197$	1.81250	+	1.04645i	0.129135	+	0.0745562i	0.563176	−	0.826337i	$-0.309579\pi$
$197$	1.81250	+	1.04645i	0.129135	+	0.0745562i	−0.434041	+	0.900893i	$0.642913\pi$
$198$	1.57061	+	0.395425i	0.111618	+	0.0281016i
$199$	−0.271681	+	1.54078i	−0.0192590	+	0.109223i	−0.992922	−	0.118769i	$-0.962105\pi$
$199$	−0.271681	+	1.54078i	−0.0192590	+	0.109223i	0.973663	+	0.227992i	$0.0732162\pi$
$200$	−0.0342099	+	0.194014i	−0.00241901	+	0.0137189i
$201$	4.80987	−	3.74900i	0.339262	−	0.264434i
$202$	10.8655	+	6.27323i	0.764497	+	0.441383i
$203$	1.74148	−	0.125838i	0.122228	−	0.00883213i
$204$	6.26999	+	5.65856i	0.438987	+	0.396178i
$205$	9.19074	−	10.9531i	0.641909	−	0.764998i
$206$	−3.49893	+	0.616956i	−0.243782	+	0.0429854i
$207$	1.70834	+	1.15800i	0.118738	+	0.0804864i
$208$	2.45867	+	1.41952i	0.170478	+	0.0984257i
$209$	−0.818236	+	2.20642i	−0.0565986	+	0.152621i
$210$	1.38604	−	9.94695i	0.0956462	−	0.686404i
$211$	4.63113	+	5.51917i	0.318820	+	0.379955i	0.901524	−	0.432730i	$-0.142450\pi$
$211$	4.63113	+	5.51917i	0.318820	+	0.379955i	−0.582704	+	0.812685i	$0.698005\pi$
$212$	9.90133	−	8.30820i	0.680026	−	0.570610i
$213$	17.9344	+	11.2353i	1.22885	+	0.769830i
$214$	9.97734	−	8.37198i	0.682037	−	0.572297i
$215$	23.7936	+	4.19545i	1.62271	+	0.286127i
$216$	−0.560919	+	5.16579i	−0.0381657	+	0.351487i
$217$	19.8295	+	20.4389i	1.34612	+	1.38749i
$218$	−4.34026	+	5.17252i	−0.293959	+	0.350327i
$219$	−4.39997	−	2.75643i	−0.297322	−	0.186262i
$220$	−0.591586	+	1.02466i	−0.0398847	+	0.0690824i
$221$	−13.8437			−0.931228
$222$	−9.06069	−	17.0879i	−0.608114	−	1.14687i
$223$	−1.75416	+	0.309306i	−0.117467	+	0.0207127i	−0.232073	−	0.972698i	$-0.574551\pi$
$223$	−1.75416	+	0.309306i	−0.117467	+	0.0207127i	0.114605	+	0.993411i	$0.463440\pi$
$224$	2.63887	−	0.190683i	0.176317	−	0.0127405i
$225$	0.331618	−	0.489219i	0.0221078	−	0.0326146i
$226$	−1.64900	−	9.35195i	−0.109690	−	0.622083i
$227$	−7.37129	−	12.7674i	−0.489250	−	0.847405i	0.510674	−	0.859775i	$-0.329396\pi$
$227$	−7.37129	−	12.7674i	−0.489250	−	0.847405i	−0.999923	+	0.0123692i	$0.996063\pi$
$228$	−7.37336	−	1.62284i	−0.488312	−	0.107476i
$229$	−9.48565	+	16.4296i	−0.626830	+	1.08570i	0.361354	+	0.932429i	$0.382314\pi$
$229$	−9.48565	+	16.4296i	−0.626830	+	1.08570i	−0.988184	+	0.153272i	$0.951019\pi$
$230$	−1.15495	+	0.969114i	−0.0761549	+	0.0639015i
$231$	−1.15891	+	2.18578i	−0.0762508	+	0.143814i
$232$	0.114597	−	0.649909i	0.00752363	−	0.0426686i
$233$	−1.66449	+	4.57316i	−0.109045	+	0.299597i	−0.982198	−	0.187848i	$-0.939849\pi$
$233$	−1.66449	+	4.57316i	−0.109045	+	0.299597i	0.873154	+	0.487445i	$0.162071\pi$
$234$	−4.99040	−	6.90193i	−0.326233	−	0.451194i
$235$	−12.8156			−0.835997
$236$	−11.4042			−0.742349
$237$	−24.2636	−	0.875163i	−1.57609	−	0.0568479i
$238$	−10.6788	+	7.23908i	−0.692206	+	0.469240i
$239$	−19.7638	+	11.4107i	−1.27842	+	0.738094i	−0.976557	−	0.215259i	$-0.930940\pi$
$239$	−19.7638	+	11.4107i	−1.27842	+	0.738094i	−0.301859	+	0.953353i	$0.597607\pi$
$240$	−3.51788	−	1.42601i	−0.227078	−	0.0920485i
$241$	−2.46478	+	2.93741i	−0.158770	+	0.189215i	−0.839565	−	0.543259i	$-0.817190\pi$
$241$	−2.46478	+	2.93741i	−0.158770	+	0.189215i	0.680795	+	0.732474i	$0.261635\pi$
$242$	−8.20321	+	6.88331i	−0.527323	+	0.442476i
$243$	7.87150	−	13.4551i	0.504957	−	0.863145i
$244$	−11.1807	−	4.06943i	−0.715769	−	0.260519i
$245$	14.2505	+	5.68076i	0.910428	+	0.362931i
$246$	−6.94691	−	8.91268i	−0.442919	−	0.568252i
$247$	10.7544	−	6.12251i	0.684285	−	0.389566i
$248$	9.32141	−	5.38172i	0.591910	−	0.341739i
$249$	19.4932	−	6.30902i	1.23533	−	0.399818i
$250$	7.32111	+	8.72496i	0.463027	+	0.551815i
$251$	−24.9131	−	4.39285i	−1.57250	−	0.277274i	−0.681687	−	0.731644i	$-0.738753\pi$
$251$	−24.9131	−	4.39285i	−1.57250	−	0.277274i	−0.890813	+	0.454370i	$0.849864\pi$
$252$	−7.45865	−	2.71450i	−0.469851	−	0.170997i
$253$	0.349003	−	0.127027i	0.0219416	−	0.00798611i
$254$	5.41982	−	3.12914i	0.340070	−	0.196339i
$255$	18.3325	−	2.55503i	1.14802	−	0.160002i
$256$	0.173648	−	0.984808i	0.0108530	−	0.0615505i
$257$	14.2755	−	5.19587i	0.890484	−	0.324110i	0.144051	−	0.989570i	$-0.453987\pi$
$257$	14.2755	−	5.19587i	0.890484	−	0.324110i	0.746433	+	0.665461i	$0.231765\pi$
$258$	7.17330	−	17.6961i	0.446590	−	1.10171i
$259$	28.6504	−	7.21400i	1.78025	−	0.448256i
$260$	5.84671	−	2.12803i	0.362598	−	0.131975i
$261$	−1.11085	+	1.63879i	−0.0687602	+	0.101439i
$262$	1.02655	+	2.82043i	0.0634206	+	0.174247i
$263$	11.5163	−	2.03064i	0.710128	−	0.125215i	0.193095	−	0.981180i	$-0.438148\pi$
$263$	11.5163	−	2.03064i	0.710128	−	0.125215i	0.517033	+	0.855965i	$0.327036\pi$
$264$	0.694188	+	0.626493i	0.0427243	+	0.0385580i
$265$		−	28.3267i		−	1.74009i
$266$	5.09422	−	10.3464i	0.312347	−	0.634381i
$267$	1.03623	+	1.32946i	0.0634164	+	0.0813614i
$268$	3.46739	−	0.611395i	0.211805	−	0.0373469i
$269$	4.08238	+	23.1523i	0.248907	+	1.41162i	0.811241	+	0.584712i	$0.198793\pi$
$269$	4.08238	+	23.1523i	0.248907	+	1.41162i	−0.562333	+	0.826911i	$0.690096\pi$
$270$	7.88237	+	8.21882i	0.479706	+	0.500182i
$271$	−11.4770	−	4.17729i	−0.697179	−	0.253753i	−0.0309733	−	0.999520i	$-0.509861\pi$
$271$	−11.4770	−	4.17729i	−0.697179	−	0.253753i	−0.666206	+	0.745768i	$0.732083\pi$
$272$	1.66776	+	4.58213i	0.101123	+	0.277833i
$273$	12.0570	−	4.88782i	0.729723	−	0.295824i
$274$	0.259540	−	0.149845i	0.0156794	−	0.00905250i
$275$	−0.0363769	−	0.0999447i	−0.00219361	−	0.00602689i
$276$	0.558192	+	1.05272i	0.0335992	+	0.0633661i
$277$	−5.12882	+	8.88338i	−0.308161	+	0.533751i	−0.977960	−	0.208792i	$-0.933047\pi$
$277$	−5.12882	+	8.88338i	−0.308161	+	0.533751i	0.669799	+	0.742542i	$0.266380\pi$
$278$	−0.940429	−	1.62887i	−0.0564032	−	0.0976931i
$279$	−32.1211	+	3.30160i	−1.92304	+	0.197662i
$280$	3.39729	−	4.69887i	0.203027	−	0.280811i
$281$	2.58891	−	14.6825i	0.154442	−	0.875882i	−0.804853	−	0.593474i	$-0.797756\pi$
$281$	2.58891	−	14.6825i	0.154442	−	0.875882i	0.959295	−	0.282408i	$-0.0911330\pi$
$282$	−2.11718	+	9.90471i	−0.126076	+	0.589817i
$283$	−4.78593	−	1.74194i	−0.284494	−	0.103547i	0.195832	−	0.980638i	$-0.437259\pi$
$283$	−4.78593	−	1.74194i	−0.284494	−	0.103547i	−0.480326	+	0.877090i	$0.659482\pi$
$284$	6.10926	+	10.5815i	0.362518	+	0.627899i
$285$	−13.1115	+	10.0926i	−0.776656	+	0.597833i
$286$	−1.53272			−0.0906315
$287$	15.7527	−	7.05742i	0.929855	−	0.416587i
$288$	−1.68328	+	2.48326i	−0.0991881	+	0.146327i
$289$	−5.19177	−	4.35641i	−0.305398	−	0.256260i
$290$	−0.929661	−	1.10793i	−0.0545916	−	0.0650597i
$291$	6.15373	+	0.221958i	0.360738	+	0.0130114i
$292$	−1.49882	−	2.59604i	−0.0877120	−	0.151922i
$293$	−8.14431	−	14.1064i	−0.475795	−	0.824102i	0.523820	−	0.851829i	$-0.324506\pi$
$293$	−8.14431	−	14.1064i	−0.475795	−	0.824102i	−0.999616	+	0.0277270i	$0.991173\pi$
$294$	6.74468	−	10.0752i	0.393358	−	0.587596i
$295$	−16.0653	+	19.1458i	−0.935356	+	1.11471i
$296$		−	11.1668i		−	0.649058i
$297$	−1.13218	−	2.56665i	−0.0656958	−	0.148932i
$298$	2.19841	−	2.61997i	0.127351	−	0.151771i
$299$	−1.83530	−	0.667995i	−0.106138	−	0.0386312i
$300$	0.301468	−	0.159850i	0.0174053	−	0.00922897i
$301$	23.6368	+	17.0895i	1.36240	+	0.985022i
$302$	9.24570	+	11.0186i	0.532030	+	0.634049i
$303$	−2.99971	−	21.5231i	−0.172329	−	1.23647i
$304$	−3.32208	−	2.82201i	−0.190535	−	0.161854i
$305$	−22.5823	+	13.0379i	−1.29306	+	0.746549i
$306$	1.05390	−	14.5906i	0.0602477	−	0.834089i
$307$	−11.1262	+	30.5690i	−0.635007	+	1.74467i	0.0318631	+	0.999492i	$0.489856\pi$
$307$	−11.1262	+	30.5690i	−0.635007	+	1.74467i	−0.666870	+	0.745174i	$0.732366\pi$
$308$	−1.18232	+	0.801481i	−0.0673687	+	0.0456686i
$309$	4.56846	+	4.12295i	0.259890	+	0.234546i
$310$	4.09616	−	23.2305i	0.232646	−	1.31940i
$311$			10.2217i			0.579618i	0.957084	+	0.289809i	$0.0935918\pi$
$311$			10.2217i			0.579618i	−0.957084	+	0.289809i	$0.906408\pi$
$312$	−0.678778	−	4.87027i	−0.0384282	−	0.275725i
$313$	−2.00949	+	0.731395i	−0.113583	+	0.0413409i	−0.398187	−	0.917304i	$-0.630360\pi$
$313$	−2.00949	+	0.731395i	−0.113583	+	0.0413409i	0.284603	+	0.958645i	$0.408138\pi$
$314$	6.96689	+	5.84592i	0.393164	+	0.329904i
$315$	−15.0643	+	8.69795i	−0.848779	+	0.490074i
$316$	−12.1397	−	7.00887i	−0.682912	−	0.394280i
$317$	−3.38245	+	19.1828i	−0.189978	+	1.07742i	0.729414	+	0.684073i	$0.239793\pi$
$317$	−3.38245	+	19.1828i	−0.189978	+	1.07742i	−0.919392	+	0.393344i	$0.871318\pi$
$318$	−21.8927	−	4.67967i	−1.22768	−	0.262423i
$319$	0.121855	+	0.334795i	0.00682260	+	0.0187449i
$320$	−1.40872	−	1.67884i	−0.0787496	−	0.0938501i
$321$	−22.0607	−	4.71560i	−1.23131	−	0.263199i
$322$	−1.76503	+	0.444425i	−0.0983613	+	0.0247668i
$323$	20.9092	+	3.81756i	1.16342	+	0.212415i
$324$	7.65423	−	4.73422i	0.425235	−	0.263012i
$325$	−0.191295	+	0.525578i	−0.0106111	+	0.0291538i
$326$	1.80106	+	10.2143i	0.0997515	+	0.565719i
$327$	11.6876	+	0.421559i	0.646327	+	0.0233123i
$328$	−1.13291	−	6.42508i	−0.0625548	−	0.354766i
$329$	−13.9214	−	6.74996i	−0.767510	−	0.372137i
$330$	2.02970	−	0.282882i	0.111731	−	0.0155722i
$331$		−	11.0729i		−	0.608622i	−0.952573	−	0.304311i	$-0.901574\pi$
$331$		−	11.0729i		−	0.608622i	0.952573	−	0.304311i	$-0.0984262\pi$
$332$	11.6495	+	2.05412i	0.639348	+	0.112734i
$333$	−13.6960	+	30.5729i	−0.750537	+	1.67538i
$334$	−14.7093			−0.804858
$335$	3.85814	−	6.68249i	0.210792	−	0.365103i
$336$	−3.07034	−	3.40191i	−0.167501	−	0.185590i
$337$	−1.33002	+	0.234518i	−0.0724506	+	0.0127750i	−0.209756	−	0.977754i	$-0.567267\pi$
$337$	−1.33002	+	0.234518i	−0.0724506	+	0.0127750i	0.137305	+	0.990529i	$0.456156\pi$
$338$	−3.78419	−	3.17531i	−0.205833	−	0.172714i
$339$	−11.0198	+	12.2106i	−0.598515	+	0.663187i
$340$	10.0421	+	3.65502i	0.544608	+	0.198221i
$341$	−2.90545	+	5.03238i	−0.157339	+	0.272519i
$342$	5.63412	+	11.8007i	0.304658	+	0.638109i
$343$	12.4880	+	13.6766i	0.674288	+	0.738468i
$344$	8.44513	−	7.08630i	0.455331	−	0.382068i
$345$	2.55368	+	0.545863i	0.137485	+	0.0293883i
$346$	15.2387	−	5.54643i	0.819237	−	0.298178i
$347$	−5.86649	−	6.99142i	−0.314930	−	0.375319i	0.585238	−	0.810861i	$-0.301001\pi$
$347$	−5.86649	−	6.99142i	−0.314930	−	0.375319i	−0.900168	+	0.435543i	$0.856557\pi$
$348$	−1.00986	+	0.535468i	−0.0541342	+	0.0287041i
$349$	−4.13181	+	7.15650i	−0.221170	+	0.383078i	−0.955164	−	0.296078i	$-0.904321\pi$
$349$	−4.13181	+	7.15650i	−0.221170	+	0.383078i	0.733993	+	0.679157i	$0.237654\pi$
$350$	0.127271	+	0.505455i	0.00680291	+	0.0270177i
$351$	−4.11497	+	14.1665i	−0.219641	+	0.756151i
$352$	0.184648	+	0.507315i	0.00984175	+	0.0270400i
$353$	−11.0501	−	6.37976i	−0.588136	−	0.339560i	0.176224	−	0.984350i	$-0.443612\pi$
$353$	−11.0501	−	6.37976i	−0.588136	−	0.339560i	−0.764360	+	0.644790i	$0.776945\pi$
$354$	12.1431	+	15.5792i	0.645397	+	0.828026i
$355$	26.3710	+	4.64991i	1.39963	+	0.246792i
$356$	0.168991	+	0.958394i	0.00895649	+	0.0507948i
$357$	21.2600	+	6.88021i	1.12520	+	0.364139i
$358$	−1.56663	−	0.570206i	−0.0827988	−	0.0301363i
$359$	−19.2239	+	3.38970i	−1.01460	+	0.178902i	−0.656137	−	0.754642i	$-0.727811\pi$
$359$	−19.2239	+	3.38970i	−1.01460	+	0.178902i	−0.358464	+	0.933543i	$0.616700\pi$
$360$	1.79774	+	6.32417i	0.0947492	+	0.333313i
$361$	−17.9316	+	6.28168i	−0.943766	+	0.330615i
$362$	−9.91658	−	5.72534i	−0.521204	−	0.300917i
$363$	18.1380	+	3.87709i	0.951997	+	0.203494i
$364$	7.47202	+	0.767813i	0.391640	+	0.0402443i
$365$	−6.46975	−	1.14079i	−0.338642	−	0.0597118i
$366$	6.34585	+	19.6070i	0.331703	+	1.02487i
$367$	−16.5552	−	13.8914i	−0.864173	−	0.725127i	0.0986896	−	0.995118i	$-0.468535\pi$
$367$	−16.5552	−	13.8914i	−0.864173	−	0.725127i	−0.962863	+	0.269991i	$0.912979\pi$
$368$			0.687942i			0.0358614i
$369$	−4.77858	+	18.9803i	−0.248763	+	0.988075i
$370$	−18.7473	−	15.7309i	−0.974627	−	0.817809i
$371$	14.9196	−	30.7708i	0.774588	−	1.59754i
$372$	−17.2773	−	7.00354i	−0.895786	−	0.363116i
$373$	1.75226	−	1.01167i	0.0907287	−	0.0523823i	−0.453949	−	0.891028i	$-0.649985\pi$
$373$	1.75226	−	1.01167i	0.0907287	−	0.0523823i	0.544678	+	0.838645i	$0.316652\pi$
$374$	−2.01664	−	1.69216i	−0.104278	−	0.0874995i
$375$	4.12368	−	19.2916i	0.212946	−	0.996214i
$376$	−3.75881	+	4.47957i	−0.193846	+	0.231016i
$377$	0.640801	−	1.76059i	0.0330029	−	0.0906747i
$378$	4.23365	+	13.0796i	0.217755	+	0.672743i
$379$			10.3948i			0.533946i	0.963704	+	0.266973i	$0.0860234\pi$
$379$			10.3948i			0.533946i	−0.963704	+	0.266973i	$0.913977\pi$
$380$	−9.41759	+	1.60184i	−0.483112	+	0.0821724i
$381$	−10.0457	−	4.07212i	−0.514656	−	0.208621i
$382$	−6.72954	+	18.4892i	−0.344313	+	0.945992i
$383$	20.2547	−	16.9957i	1.03497	−	0.868440i	0.0435331	−	0.999052i	$-0.486139\pi$
$383$	20.2547	−	16.9957i	1.03497	−	0.868440i	0.991434	+	0.130612i	$0.0416942\pi$
$384$	−1.53024	+	0.811394i	−0.0780898	+	0.0414063i
$385$	−0.319988	+	3.11398i	−0.0163081	+	0.158703i
$386$	0.615945	+	1.69229i	0.0313508	+	0.0861355i
$387$	−31.8126	+	9.04322i	−1.61713	+	0.459693i
$388$	3.07887	+	1.77758i	0.156306	+	0.0902432i
$389$	−32.2025	−	5.67816i	−1.63273	−	0.287894i	−0.719241	−	0.694760i	$-0.755511\pi$
$389$	−32.2025	−	5.67816i	−1.63273	−	0.287894i	−0.913488	+	0.406866i	$0.866622\pi$
$390$	−9.13262	−	5.72127i	−0.462448	−	0.289708i
$391$	−1.67727	−	2.90512i	−0.0848233	−	0.146918i
$392$	6.16531	−	3.31495i	0.311395	−	0.167430i
$393$	2.75992	−	4.40554i	0.139219	−	0.222230i
$394$	0.715811	−	1.96667i	0.0360620	−	0.0990796i
$395$	−28.8682	+	10.5072i	−1.45252	+	0.528673i
$396$	0.116684	−	1.61541i	0.00586359	−	0.0811775i
$397$	−2.04461	−	11.5955i	−0.102616	−	0.581963i	−0.992146	−	0.125087i	$-0.960079\pi$
$397$	−2.04461	−	11.5955i	−0.102616	−	0.581963i	0.889530	−	0.456877i	$-0.151032\pi$
$398$	1.56455			0.0784238
$399$	−19.5585	+	4.05761i	−0.979151	+	0.203134i
$400$	0.197007			0.00985035
$401$	−0.435308	−	2.46875i	−0.0217382	−	0.123284i	0.972008	−	0.234950i	$-0.0754925\pi$
$401$	−0.435308	−	2.46875i	−0.0217382	−	0.123284i	−0.993746	+	0.111666i	$0.964381\pi$
$402$	−4.52727	−	4.08579i	−0.225800	−	0.203780i
$403$	28.7149	−	10.4514i	1.43039	−	0.520619i
$404$	4.29114	−	11.7898i	0.213492	−	0.586565i
$405$	2.83463	−	19.5194i	0.140854	−	0.969927i
$406$	−0.426332	−	1.69317i	−0.0211585	−	0.0840309i
$407$	3.01434	+	5.22098i	0.149415	+	0.258794i
$408$	4.48382	−	7.15734i	0.221982	−	0.354341i
$409$	−8.62128	−	1.52016i	−0.426295	−	0.0751672i	−0.0436151	−	0.999048i	$-0.513888\pi$
$409$	−8.62128	−	1.52016i	−0.426295	−	0.0751672i	−0.382680	+	0.923881i	$0.624999\pi$
$410$	−12.3827	−	7.14913i	−0.611536	−	0.353070i
$411$	−0.481059	−	0.195003i	−0.0237289	−	0.00961876i
$412$	1.21517	+	3.33864i	0.0598670	+	0.164483i
$413$	−27.5355	+	12.3363i	−1.35493	+	0.607027i
$414$	0.843755	−	1.88347i	0.0414683	−	0.0925674i
$415$	19.8593	−	16.6640i	0.974856	−	0.818002i
$416$	0.971005	−	2.66782i	0.0476075	−	0.130800i
$417$	−1.22383	+	3.01912i	−0.0599314	+	0.147847i
$418$	2.31499	+	0.422664i	0.113230	+	0.0206732i
$419$			38.6941i			1.89033i	0.326594	+	0.945165i	$0.394099\pi$
$419$			38.6941i			1.89033i	−0.326594	+	0.945165i	$0.605901\pi$
$420$	−10.0365	+	0.362282i	−0.489732	+	0.0176775i
$421$	−5.87683	+	16.1465i	−0.286419	+	0.786930i	0.710141	+	0.704059i	$0.248631\pi$
$421$	−5.87683	+	16.1465i	−0.286419	+	0.786930i	−0.996560	+	0.0828709i	$0.973591\pi$
$422$	4.63113	−	5.51917i	0.225440	−	0.268669i
$423$	15.7851	−	7.65417i	0.767500	−	0.372158i
$424$	−9.90133	−	8.30820i	−0.480851	−	0.403482i
$425$	−0.831944	+	0.480323i	−0.0403552	+	0.0232991i
$426$	7.95033	−	19.6130i	0.385195	−	0.950252i
$427$	−31.3979	+	2.26879i	−1.51945	+	0.109794i
$428$	−9.97734	−	8.37198i	−0.482273	−	0.404675i
$429$	1.63202	+	2.09384i	0.0787949	+	0.101092i
$430$		−	24.1606i		−	1.16513i
$431$	4.86024	+	4.07823i	0.234110	+	0.196441i	0.752294	−	0.658828i	$-0.228947\pi$
$431$	4.86024	+	4.07823i	0.234110	+	0.196441i	−0.518184	+	0.855269i	$0.673392\pi$
$432$	5.18471	−	0.344632i	0.249450	−	0.0165811i
$433$	−25.7851	−	4.54661i	−1.23915	−	0.218496i	−0.484600	−	0.874736i	$-0.661035\pi$
$433$	−25.7851	−	4.54661i	−1.23915	−	0.218496i	−0.754552	+	0.656240i	$0.772146\pi$
$434$	16.6851	−	23.0775i	0.800909	−	1.10775i
$435$	−0.523640	+	2.44972i	−0.0251066	+	0.117455i
$436$	5.84761	+	3.37612i	0.280050	+	0.161687i
$437$	2.58780	+	1.51503i	0.123791	+	0.0724738i
$438$	−1.95050	+	4.81177i	−0.0931987	+	0.229915i
$439$	15.0389	−	2.65177i	0.717768	−	0.126562i	0.197177	−	0.980368i	$-0.436823\pi$
$439$	15.0389	−	2.65177i	0.717768	−	0.126562i	0.520591	+	0.853806i	$0.325712\pi$
$440$	1.11182	+	0.404669i	0.0530039	+	0.0192918i
$441$	−20.9453	+	1.51407i	−0.997397	+	0.0720988i
$442$	2.40393	+	13.6334i	0.114343	+	0.648474i
$443$	−17.9443	−	3.16406i	−0.852558	−	0.150329i	−0.269741	−	0.962933i	$-0.586938\pi$
$443$	−17.9443	−	3.16406i	−0.852558	−	0.150329i	−0.582816	+	0.812604i	$0.698049\pi$
$444$	−15.2550	+	11.8903i	−0.723968	+	0.564290i
$445$	1.84705	+	1.06640i	0.0875587	+	0.0505520i
$446$	0.609214	+	1.67380i	0.0288471	+	0.0792568i
$447$	−5.91998	−	0.213527i	−0.280005	−	0.0100995i
$448$	−0.646021	−	2.56567i	−0.0305216	−	0.121216i
$449$	5.70458	−	9.88063i	0.269216	−	0.466296i	−0.699444	−	0.714688i	$-0.746569\pi$
$449$	5.70458	−	9.88063i	0.269216	−	0.466296i	0.968660	+	0.248392i	$0.0799022\pi$
$450$	−0.539372	−	0.241628i	−0.0254262	−	0.0113904i
$451$	2.26405	+	2.69819i	0.106610	+	0.127053i
$452$	−8.92353	+	3.24790i	−0.419727	+	0.152768i
$453$	5.20773	−	24.3630i	0.244680	−	1.14468i
$454$	−11.2935	+	9.47635i	−0.530029	+	0.444747i
$455$	11.8150	−	11.4627i	0.553895	−	0.537380i
$456$	−0.317820	+	7.54314i	−0.0148833	+	0.353240i
$457$	−10.3296	+	17.8913i	−0.483196	+	0.836920i	−0.999814	−	0.0192958i	$-0.993858\pi$
$457$	−10.3296	+	17.8913i	−0.483196	+	0.836920i	0.516618	+	0.856216i	$0.327191\pi$
$458$	17.8272	+	6.48857i	0.833010	+	0.303191i
$459$	−21.0544	+	14.0962i	−0.982733	+	0.657955i
$460$	1.15495	+	0.969114i	0.0538496	+	0.0451852i
$461$	3.62089	−	0.638461i	0.168642	−	0.0297361i	−0.0886896	−	0.996059i	$-0.528268\pi$
$461$	3.62089	−	0.638461i	0.168642	−	0.0297361i	0.257331	+	0.966323i	$0.417157\pi$
$462$	2.35382	+	0.761749i	0.109510	+	0.0354397i
$463$	9.61520	−	16.6540i	0.446856	−	0.773978i	−0.551323	−	0.834292i	$-0.685877\pi$
$463$	9.61520	−	16.6540i	0.446856	−	0.773978i	0.998179	+	0.0603138i	$0.0192101\pi$
$464$	−0.659935			−0.0306367
$465$	−36.0966	+	19.1399i	−1.67394	+	0.887590i
$466$	4.79271	+	0.845085i	0.222018	+	0.0391478i
$467$			5.04182i			0.233307i	0.993173	+	0.116654i	$0.0372168\pi$
$467$			5.04182i			0.233307i	−0.993173	+	0.116654i	$0.962783\pi$
$468$	−5.93050	+	6.11310i	−0.274138	+	0.282578i
$469$	7.71069	−	5.22700i	0.356047	−	0.241361i
$470$	2.22540	+	12.6209i	0.102650	+	0.582158i
$471$	0.567801	−	15.7421i	0.0261629	−	0.725359i
$472$	1.98032	+	11.2309i	0.0911514	+	0.516945i
$473$	−2.03562	+	5.59281i	−0.0935977	+	0.257158i
$474$	3.35147	+	24.0470i	0.153938	+	1.10452i
$475$	0.433862	−	0.741072i	0.0199070	−	0.0340027i
$476$	8.98346	+	9.25954i	0.411756	+	0.424410i
$477$	16.9182	+	34.8903i	0.774632	+	1.59752i
$478$	14.6693	+	17.4821i	0.670956	+	0.799614i
$479$	−2.08511	−	5.72880i	−0.0952712	−	0.261756i	0.882898	−	0.469564i	$-0.155589\pi$
$479$	−2.08511	−	5.72880i	−0.0952712	−	0.261756i	−0.978169	+	0.207809i	$0.933367\pi$
$480$	−0.793472	+	3.71206i	−0.0362169	+	0.169432i
$481$	5.50516	−	31.2213i	0.251014	−	1.42357i
$482$	3.32079	+	1.91726i	0.151258	+	0.0873287i
$483$	2.48652	+	1.93798i	0.113140	+	0.0881812i
$484$	8.20321	+	6.88331i	0.372873	+	0.312878i
$485$	7.32153	−	2.66482i	0.332454	−	0.121003i
$486$	−14.6176	−	5.41546i	−0.663066	−	0.245650i
$487$		−	0.308767i		−	0.0139916i	−0.999976	−	0.00699579i	$-0.997773\pi$
$487$		−	0.308767i		−	0.0139916i	0.999976	−	0.00699579i	$-0.00222685\pi$
$488$	−2.06610	+	11.7175i	−0.0935282	+	0.530425i
$489$	12.0360	−	13.3365i	0.544286	−	0.603099i
$490$	3.11989	−	15.0204i	0.140942	−	0.678553i
$491$	6.01654	−	16.5303i	0.271523	−	0.746002i	−0.726731	−	0.686922i	$-0.758961\pi$
$491$	6.01654	−	16.5303i	0.271523	−	0.746002i	0.998253	−	0.0590796i	$-0.0188166\pi$
$492$	−7.57096	+	8.38904i	−0.341325	+	0.378207i
$493$	2.78685	−	1.60899i	0.125513	−	0.0724652i
$494$	−7.89698	−	9.52783i	−0.355302	−	0.428677i
$495$	−2.54765	−	2.47155i	−0.114508	−	0.111088i
$496$	−6.91860	−	8.24527i	−0.310654	−	0.370223i
$497$	26.1972	+	18.9407i	1.17511	+	0.849606i
$498$	−9.59813	−	18.1015i	−0.430103	−	0.811148i
$499$	6.33398	+	2.30538i	0.283548	+	0.103203i	0.479879	−	0.877335i	$-0.340681\pi$
$499$	6.33398	+	2.30538i	0.283548	+	0.103203i	−0.196331	+	0.980538i	$0.562903\pi$
$500$	7.32111	−	8.72496i	0.327410	−	0.390192i
$501$	15.6623	+	20.0943i	0.699742	+	0.897749i
$502$			25.2974i			1.12908i
$503$	−26.2831	+	31.3230i	−1.17191	+	1.39662i	−0.271016	+	0.962575i	$0.587360\pi$
$503$	−26.2831	+	31.3230i	−1.17191	+	1.39662i	−0.900890	+	0.434048i	$0.857085\pi$
$504$	−1.37808	+	7.81671i	−0.0613843	+	0.348184i
$505$	−13.7482	−	23.8126i	−0.611789	−	1.05965i
$506$	−0.185701	−	0.321643i	−0.00825541	−	0.0142988i
$507$	−0.308411	+	8.55061i	−0.0136970	+	0.379746i
$508$	−4.02274	−	4.79411i	−0.178480	−	0.212704i
$509$	29.5938	+	24.8322i	1.31172	+	1.10067i	0.987990	+	0.154519i	$0.0493829\pi$
$509$	29.5938	+	24.8322i	1.31172	+	1.10067i	0.323735	+	0.946148i	$0.395062\pi$
$510$	−5.69961	−	17.6103i	−0.252383	−	0.779797i
$511$	−6.42714	−	4.64684i	−0.284320	−	0.205564i
$512$	−1.00000			−0.0441942
$513$	10.1217	−	20.2620i	0.446886	−	0.894591i
$514$	−7.59586	−	13.1564i	−0.335039	−	0.580305i
$515$	7.31688	+	2.66313i	0.322420	+	0.117351i
$516$	−18.6729	−	3.99143i	−0.822027	−	0.175713i
$517$	0.548208	−	3.10904i	0.0241101	−	0.136735i
$518$	−12.0795	−	26.9624i	−0.530742	−	1.18466i
$519$	−23.8030	−	14.9117i	−1.04484	−	0.654553i
$520$	−3.11097	−	5.38836i	−0.136425	−	0.236295i
$521$	−5.17663	+	8.96619i	−0.226792	+	0.392816i	−0.956856	−	0.290564i	$-0.906157\pi$
$521$	−5.17663	+	8.96619i	−0.226792	+	0.392816i	0.730063	+	0.683379i	$0.239491\pi$
$522$	1.80679	+	0.809405i	0.0790811	+	0.0354267i
$523$	−5.21271	−	14.3218i	−0.227936	−	0.626248i	0.772020	−	0.635598i	$-0.219246\pi$
$523$	−5.21271	−	14.3218i	−0.227936	−	0.626248i	−0.999956	+	0.00934916i	$0.997024\pi$
$524$	2.59932	−	1.50072i	0.113552	−	0.0655593i
$525$	0.554983	−	0.712068i	0.0242215	−	0.0310772i
$526$	−3.99958	−	10.9888i	−0.174390	−	0.479133i
$527$	49.3195	+	17.9508i	2.14839	+	0.781950i
$528$	0.496430	−	0.792431i	0.0216044	−	0.0344861i
$529$	3.91173	+	22.1845i	0.170075	+	0.964544i
$530$	−27.8963	+	4.91887i	−1.21174	+	0.213662i
$531$	8.35287	−	33.1772i	0.362484	−	1.43977i
$532$	−11.0739	−	3.22019i	−0.480113	−	0.139613i
$533$		−	18.5224i		−	0.802294i
$534$	1.12932	−	1.25135i	0.0488704	−	0.0541511i
$535$	−28.1105	+	4.95664i	−1.21532	+	0.214294i
$536$	−1.20421	−	3.30855i	−0.0520141	−	0.142907i
$537$	0.889175	+	2.74731i	0.0383707	+	0.118555i
$538$	22.0917	−	8.04072i	0.952441	−	0.346660i
$539$	−1.98773	+	3.21413i	−0.0856175	+	0.138442i
$540$	6.72520	−	9.18980i	0.289407	−	0.395466i
$541$	38.0830	−	13.8611i	1.63731	−	0.595934i	0.650748	−	0.759294i	$-0.274456\pi$
$541$	38.0830	−	13.8611i	1.63731	−	0.595934i	0.986566	+	0.163361i	$0.0522334\pi$
$542$	−2.12087	+	12.0280i	−0.0910991	+	0.516649i
$543$	2.73772	+	19.6433i	0.117487	+	0.842975i
$544$	4.22292	−	2.43810i	0.181056	−	0.104533i
$545$	13.9056	−	5.06122i	0.595650	−	0.216799i
$546$	−6.90724	−	11.0251i	−0.295602	−	0.471829i
$547$	−30.8873	−	5.44626i	−1.32065	−	0.232865i	−0.531493	−	0.847063i	$-0.678369\pi$
$547$	−30.8873	−	5.44626i	−1.32065	−	0.232865i	−0.789152	+	0.614197i	$0.789480\pi$
$548$	−0.192638	−	0.229577i	−0.00822907	−	0.00980703i
$549$	20.0280	−	29.5464i	0.854775	−	1.26101i
$550$	−0.0921095	+	0.0531794i	−0.00392756	+	0.00226758i
$551$	−1.45335	+	2.48245i	−0.0619150	+	0.105756i
$552$	0.939795	−	0.732514i	0.0400003	−	0.0311779i
$553$	−36.8932	−	3.79108i	−1.56886	−	0.161213i
$554$	9.63903	+	3.50832i	0.409523	+	0.149054i
$555$	−1.52791	+	42.3608i	−0.0648560	+	1.79811i
$556$	−1.44082	+	1.20899i	−0.0611044	+	0.0512727i
$557$	24.0090	−	28.6128i	1.01729	−	1.21236i	0.0402778	−	0.999189i	$-0.487176\pi$
$557$	24.0090	−	28.6128i	1.01729	−	1.21236i	0.977014	−	0.213173i	$-0.0683798\pi$
$558$	8.82921	+	31.0598i	0.373770	+	1.31486i
$559$	27.1052	−	15.6492i	1.14643	−	0.661891i
$560$	−5.21741	−	2.52973i	−0.220476	−	0.106901i
$561$	−0.164356	+	4.55672i	−0.00693911	+	0.192385i
$562$	−14.9090			−0.628896
$563$	−31.2259			−1.31601			−0.658007	−	0.753012i	$-0.728600\pi$
$563$	−31.2259			−1.31601			−0.658007	+	0.753012i	$0.728600\pi$
$564$	10.1219	+	0.365085i	0.426208	+	0.0153728i
$565$	−7.11801	+	19.5566i	−0.299457	+	0.822751i
$566$	−0.884404	+	5.01571i	−0.0371743	+	0.210826i
$567$	13.3601	−	19.7106i	0.561070	−	0.827768i
$568$	9.35993	−	7.85391i	0.392734	−	0.329543i
$569$	19.0534	−	33.0015i	0.798762	−	1.38350i	−0.121660	−	0.992572i	$-0.538822\pi$
$569$	19.0534	−	33.0015i	0.798762	−	1.38350i	0.920423	−	0.390925i	$-0.127845\pi$
$570$	12.2160	+	11.1597i	0.511673	+	0.467429i
$571$	−9.55291	−	16.5461i	−0.399777	−	0.692433i	0.593921	−	0.804523i	$-0.297579\pi$
$571$	−9.55291	−	16.5461i	−0.399777	−	0.692433i	−0.993698	+	0.112090i	$0.964246\pi$
$572$	0.266154	+	1.50943i	0.0111284	+	0.0631125i
$573$	32.4237	−	10.4940i	1.35452	−	0.438393i
$574$	−9.68564	−	14.2879i	−0.404271	−	0.596366i
$575$	−0.133470	+	0.0235344i	−0.00556610	+	0.000981453i
$576$	2.73783	+	1.22649i	0.114076	+	0.0511038i
$577$	23.4496			0.976219			0.488109	−	0.872782i	$-0.337687\pi$
$577$	23.4496			0.976219			0.488109	+	0.872782i	$0.337687\pi$
$578$	−3.38869	+	5.86938i	−0.140951	+	0.244134i
$579$	1.65598	−	2.64338i	0.0688204	−	0.109855i
$580$	−0.929661	+	1.10793i	−0.0386021	+	0.0460042i
$581$	30.3498	−	7.64190i	1.25912	−	0.317040i
$582$	−0.849998	−	6.09879i	−0.0352336	−	0.252803i
$583$	6.87200	+	1.21172i	0.284609	+	0.0501843i
$584$	−2.29633	+	1.92685i	−0.0950228	+	0.0797336i
$585$	1.90853	+	18.5680i	0.0789081	+	0.767692i
$586$	−12.4778	+	10.4701i	−0.515453	+	0.432517i
$587$	13.4116	+	15.9833i	0.553555	+	0.659701i	0.968169	−	0.250296i	$-0.0805279\pi$
$587$	13.4116	+	15.9833i	0.553555	+	0.659701i	−0.414614	+	0.909997i	$0.636083\pi$
$588$	−11.0933	−	4.89268i	−0.457481	−	0.201771i
$589$	−46.2524	+	7.86707i	−1.90580	+	0.324157i
$590$	21.6447	+	12.4966i	0.891097	+	0.514475i
$591$	−3.44886	+	1.11623i	−0.141867	+	0.0459156i
$592$	−10.9972	+	1.93910i	−0.451981	+	0.0796964i
$593$	5.38214	−	6.41418i	0.221018	−	0.263399i	−0.644130	−	0.764916i	$-0.722780\pi$
$593$	5.38214	−	6.41418i	0.221018	−	0.263399i	0.865148	+	0.501517i	$0.167225\pi$
$594$	−2.33105	+	1.56068i	−0.0956443	+	0.0640353i
$595$	28.2005	−	2.03775i	1.15611	−	0.0835394i
$596$	−2.96191	−	1.71006i	−0.121325	−	0.0700469i
$597$	−1.66592	−	2.13733i	−0.0681815	−	0.0874749i
$598$	−0.339150	+	1.92342i	−0.0138689	+	0.0786543i
$599$	6.44208	−	36.5349i	0.263216	−	1.49277i	−0.510850	−	0.859670i	$-0.670669\pi$
$599$	6.44208	−	36.5349i	0.263216	−	1.49277i	0.774066	−	0.633105i	$-0.218220\pi$
$600$	−0.209771	−	0.269131i	−0.00856388	−	0.0109872i
$601$	−7.29420	−	4.21131i	−0.297537	−	0.171783i	0.343799	−	0.939043i	$-0.388286\pi$
$601$	−7.29420	−	4.21131i	−0.297537	−	0.171783i	−0.641336	+	0.767260i	$0.721619\pi$
$602$	12.7254	−	26.2453i	0.518648	−	1.06968i
$603$	−0.760976	+	10.5352i	−0.0309893	+	0.429027i
$604$	9.24570	−	11.0186i	0.376202	−	0.448340i
$605$	23.1120	−	4.07527i	0.939636	−	0.165683i
$606$	−20.6752	+	6.69158i	−0.839872	+	0.271827i
$607$	−22.8776	−	13.2084i	−0.928573	−	0.536112i	−0.0422129	−	0.999109i	$-0.513441\pi$
$607$	−22.8776	−	13.2084i	−0.928573	−	0.536112i	−0.886360	+	0.462997i	$0.846774\pi$
$608$	−2.20227	+	3.76165i	−0.0893138	+	0.152555i
$609$	−1.85909	+	2.38529i	−0.0753340	+	0.0966568i
$610$	16.7612	+	19.9752i	0.678642	+	0.808774i
$611$	−12.7176	+	10.6714i	−0.514501	+	0.431717i
$612$	−14.5519	+	1.49574i	−0.588228	+	0.0604616i
$613$	9.52718	−	7.99425i	0.384799	−	0.322885i	−0.429784	−	0.902932i	$-0.641410\pi$
$613$	9.52718	−	7.99425i	0.384799	−	0.322885i	0.814583	+	0.580047i	$0.196966\pi$
$614$	32.0367	+	5.64893i	1.29289	+	0.227972i
$615$	3.41854	+	24.5282i	0.137849	+	0.989074i
$616$	0.994612	+	1.02518i	0.0400741	+	0.0413056i
$617$	−3.76978	+	4.49265i	−0.151766	+	0.180867i	−0.836571	−	0.547859i	$-0.815443\pi$
$617$	−3.76978	+	4.49265i	−0.151766	+	0.180867i	0.684805	+	0.728727i	$0.259887\pi$
$618$	3.26701	−	5.21499i	0.131418	−	0.209778i
$619$	9.88623	−	17.1234i	0.397361	−	0.688249i	−0.596038	−	0.802956i	$-0.703259\pi$
$619$	9.88623	−	17.1234i	0.397361	−	0.688249i	0.993399	+	0.114706i	$0.0365928\pi$
$620$	−23.5889			−0.947351
$621$	−3.47142	+	0.852849i	−0.139303	+	0.0342237i
$622$	10.0664	−	1.77498i	0.403625	−	0.0711700i
$623$	1.44475	+	2.13125i	0.0578828	+	0.0853867i
$624$	−4.67841	+	1.51418i	−0.187286	+	0.0606157i
$625$	−4.16342	−	23.6119i	−0.166537	−	0.944476i
$626$	1.06923	+	1.85196i	0.0427350	+	0.0740191i
$627$	−1.88758	−	3.61254i	−0.0753825	−	0.144271i
$628$	4.54731	−	7.87618i	0.181458	−	0.314294i
$629$	41.7124	−	35.0009i	1.66318	−	1.39558i
$630$	11.1817	+	13.3251i	0.445490	+	0.530884i
$631$	0.355871	−	2.01824i	0.0141670	−	0.0803450i	−0.976905	−	0.213676i	$-0.931456\pi$
$631$	0.355871	−	2.01824i	0.0141670	−	0.0803450i	0.991072	+	0.133331i	$0.0425674\pi$
$632$	−4.79435	+	13.1724i	−0.190709	+	0.523968i
$633$	−12.4709	−	0.449811i	−0.495674	−	0.0178784i
$634$	19.4788			0.773601
$635$	−13.7155			−0.544281
$636$	−0.806957	+	22.3727i	−0.0319979	+	0.887134i
$637$	18.8718	−	6.22882i	0.747729	−	0.246795i
$638$	0.308549	−	0.178141i	0.0122156	−	0.00705266i
$639$	−35.2587	+	10.0228i	−1.39481	+	0.396496i
$640$	−1.40872	+	1.67884i	−0.0556844	+	0.0663621i
$641$	−13.7458	+	11.5341i	−0.542928	+	0.455570i	−0.872538	−	0.488547i	$-0.837527\pi$
$641$	−13.7458	+	11.5341i	−0.542928	+	0.455570i	0.329610	+	0.944117i	$0.393083\pi$
$642$	−0.813152	+	22.5444i	−0.0320925	+	0.889757i
$643$	−21.8469	−	7.95161i	−0.861556	−	0.313581i	−0.126813	−	0.991927i	$-0.540475\pi$
$643$	−21.8469	−	7.95161i	−0.861556	−	0.313581i	−0.734743	+	0.678346i	$0.762697\pi$
$644$	0.744167	+	1.66104i	0.0293243	+	0.0654542i
$645$	−33.0057	+	25.7260i	−1.29960	+	1.01296i
$646$	0.128709	−	21.2545i	0.00506397	−	0.836247i
$647$	−14.4231	+	8.32715i	−0.567029	+	0.327374i	−0.755962	−	0.654616i	$-0.772830\pi$
$647$	−14.4231	+	8.32715i	−0.567029	+	0.327374i	0.188933	+	0.981990i	$0.439497\pi$
$648$	−5.99144	−	6.71585i	−0.235366	−	0.263824i
$649$	−3.95753	−	4.71640i	−0.155347	−	0.185135i
$650$	0.550812	+	0.0971230i	0.0216046	+	0.00380948i
$651$	−49.2921	+	1.77927i	−1.93191	+	0.0697350i
$652$	9.74639	−	3.54740i	0.381698	−	0.138927i
$653$	20.4085	−	11.7829i	0.798648	−	0.461100i	−0.0443502	−	0.999016i	$-0.514122\pi$
$653$	20.4085	−	11.7829i	0.798648	−	0.461100i	0.842998	+	0.537916i	$0.180788\pi$
$654$	−1.61438	−	11.5833i	−0.0631272	−	0.452941i
$655$	1.14224	−	6.47794i	0.0446309	−	0.253114i
$656$	−6.13074	+	2.23141i	−0.239365	+	0.0871218i
$657$	8.65023	−	2.45896i	0.337478	−	0.0959331i
$658$	−4.22999	+	14.8820i	−0.164902	+	0.580160i
$659$	−9.02252	+	3.28393i	−0.351467	+	0.127924i	−0.511720	−	0.859152i	$-0.670991\pi$
$659$	−9.02252	+	3.28393i	−0.351467	+	0.127924i	0.160252	+	0.987076i	$0.448769\pi$
$660$	−0.631038	−	1.94974i	−0.0245631	−	0.0758935i
$661$	11.3399	+	31.1563i	0.441073	+	1.21184i	0.938787	+	0.344497i	$0.111951\pi$
$661$	11.3399	+	31.1563i	0.441073	+	1.21184i	−0.497714	+	0.867341i	$0.665827\pi$
$662$	−10.9047	+	1.92279i	−0.423823	+	0.0747314i
$663$	16.0648	−	17.8007i	0.623906	−	0.691322i
$664$		−	11.8292i		−	0.459061i
$665$	−21.0061	+	14.0549i	−0.814582	+	0.545027i
$666$	32.4867	+	8.17902i	1.25883	+	0.316930i
$667$	0.447100	−	0.0788357i	0.0173118	−	0.00305253i
$668$	2.55424	+	14.4858i	0.0988267	+	0.560474i
$669$	1.63789	−	2.61450i	0.0633245	−	0.101082i
$670$	−7.25092	−	2.63912i	−0.280128	−	0.101958i
$671$	−2.19698	−	6.03615i	−0.0848134	−	0.233023i
$672$	−2.81707	+	3.61443i	−0.108671	+	0.139430i
$673$	32.7374	−	18.9010i	1.26193	−	0.728578i	0.288486	−	0.957484i	$-0.406848\pi$
$673$	32.7374	−	18.9010i	1.26193	−	0.728578i	0.973449	+	0.228906i	$0.0735147\pi$
$674$	0.461910	+	1.26909i	0.0177921	+	0.0488834i
$675$	0.244232	+	0.994117i	0.00940049	+	0.0382636i
$676$	−2.46995	+	4.27809i	−0.0949982	+	0.164542i
$677$	13.8199	+	23.9368i	0.531143	+	0.919967i	0.999339	+	0.0363425i	$0.0115707\pi$
$677$	13.8199	+	23.9368i	0.531143	+	0.919967i	−0.468196	+	0.883625i	$0.655096\pi$
$678$	13.9386	+	8.73207i	0.535310	+	0.335353i
$679$	9.35682	+	0.961492i	0.359082	+	0.0368987i
$680$	1.85570	−	10.5242i	0.0711629	−	0.403585i
$681$	24.9708	+	5.33764i	0.956883	+	0.204539i
$682$	5.46045	+	1.98744i	0.209092	+	0.0761031i
$683$	−0.700777	−	1.21378i	−0.0268145	−	0.0464440i	0.852307	−	0.523042i	$-0.175203\pi$
$683$	−0.700777	−	1.21378i	−0.0268145	−	0.0464440i	−0.879121	+	0.476598i	$0.841870\pi$
$684$	10.6431	−	7.59770i	0.406948	−	0.290505i
$685$	−0.656795			−0.0250948
$686$	11.3003	−	14.6732i	0.431448	−	0.560225i
$687$	−10.1182	−	31.2626i	−0.386035	−	1.19274i
$688$	−8.44513	−	7.08630i	−0.321967	−	0.270163i
$689$	−23.5872	−	28.1102i	−0.898602	−	1.07091i
$690$	0.0941279	−	2.60967i	0.00358339	−	0.0993485i
$691$	0.945429	+	1.63753i	0.0359658	+	0.0622946i	0.883448	−	0.468529i	$-0.155216\pi$
$691$	0.945429	+	1.63753i	0.0359658	+	0.0622946i	−0.847482	+	0.530824i	$0.821883\pi$
$692$	−8.10834	−	14.0441i	−0.308233	−	0.533875i
$693$	−1.46571	−	4.02665i	−0.0556776	−	0.152960i
$694$	−5.86649	+	6.99142i	−0.222689	+	0.265391i
$695$			4.12204i			0.156358i
$696$	0.702693	+	0.901535i	0.0266355	+	0.0341726i
$697$	20.4492	−	24.3704i	0.774569	−	0.923096i
$698$	7.76525	+	2.82632i	0.293919	+	0.106978i
$699$	−3.94877	−	7.44715i	−0.149356	−	0.281677i
$700$	0.475675	−	0.213108i	0.0179788	−	0.00805474i
$701$	−5.65171	−	6.73545i	−0.213462	−	0.254394i	0.648679	−	0.761062i	$-0.275322\pi$
$701$	−5.65171	−	6.73545i	−0.213462	−	0.254394i	−0.862142	+	0.506667i	$0.830877\pi$
$702$	14.6658	+	1.59247i	0.553526	+	0.0601038i
$703$	−16.9245	+	45.6379i	−0.638320	+	1.72127i
$704$	0.467544	−	0.269937i	0.0176212	−	0.0101736i
$705$	14.8718	−	16.4787i	0.560103	−	0.620625i
$706$	−4.36401	+	11.9900i	−0.164242	+	0.451251i
$707$	−2.39240	−	33.1085i	−0.0899753	−	1.24517i
$708$	13.2339	−	14.6639i	0.497361	−	0.551103i
$709$	−6.89097	+	39.0807i	−0.258796	+	1.46770i	0.527342	+	0.849653i	$0.323189\pi$
$709$	−6.89097	+	39.0807i	−0.258796	+	1.46770i	−0.786138	+	0.618051i	$0.787922\pi$
$710$		−	26.7778i		−	1.00495i
$711$	29.2819	−	30.1835i	1.09816	−	1.13197i
$712$	0.914489	−	0.332847i	0.0342719	−	0.0124740i
$713$	5.67226	+	4.75959i	0.212428	+	0.178248i
$714$	3.08392	−	22.1318i	0.115413	−	0.828260i
$715$	2.90903	+	1.67953i	0.108792	+	0.0628109i
$716$	−0.289501	+	1.64184i	−0.0108192	+	0.0613585i
$717$	8.26259	−	38.6544i	0.308572	−	1.44358i
$718$	6.67641	+	18.3433i	0.249161	+	0.684565i
$719$	5.39727	+	6.43221i	0.201284	+	0.239881i	0.857239	−	0.514919i	$-0.172178\pi$
$719$	5.39727	+	6.43221i	0.201284	+	0.239881i	−0.655954	+	0.754800i	$0.727734\pi$
$720$	5.91591	−	2.86861i	0.220473	−	0.106907i
$721$	6.54554	+	6.74671i	0.243769	+	0.251260i
$722$	9.30003	+	16.5683i	0.346111	+	0.616609i
$723$	−0.916786	−	6.57799i	−0.0340956	−	0.244638i
$724$	−3.91636	+	10.7601i	−0.145550	+	0.399897i
$725$	−0.0225763	−	0.128037i	−0.000838463	−	0.00475516i
$726$	0.668561	−	18.5357i	0.0248126	−	0.687923i
$727$	2.50074	+	14.1824i	0.0927472	+	0.525995i	0.995414	+	0.0956562i	$0.0304949\pi$
$727$	2.50074	+	14.1824i	0.0927472	+	0.525995i	−0.902667	+	0.430339i	$0.858394\pi$
$728$	−0.541355	−	7.49183i	−0.0200639	−	0.277666i
$729$	8.16659	+	25.7353i	0.302466	+	0.953160i
$730$			6.56956i			0.243150i
$731$	52.9402	+	9.33479i	1.95806	+	0.345260i
$732$	18.2072	−	9.65415i	0.672956	−	0.356828i
$733$	44.7787			1.65394			0.826970	−	0.562246i	$-0.190063\pi$
$733$	44.7787			1.65394			0.826970	+	0.562246i	$0.190063\pi$
$734$	−10.8056	+	18.7159i	−0.398843	+	0.690816i
$735$	−23.8414	+	11.7315i	−0.879402	+	0.432724i
$736$	0.677490	−	0.119460i	0.0249726	−	0.00440335i
$737$	1.45612	+	1.22183i	0.0536369	+	0.0450067i
$738$	19.5217	+	1.41009i	0.718605	+	0.0519061i
$739$	6.46630	+	2.35354i	0.237867	+	0.0865763i	0.458203	−	0.888848i	$-0.348493\pi$
$739$	6.46630	+	2.35354i	0.237867	+	0.0865763i	−0.220336	+	0.975424i	$0.570716\pi$
$740$	−12.2364	+	21.1942i	−0.449821	+	0.779113i
$741$	−4.60731	+	20.9332i	−0.169254	+	0.769000i
$742$	−32.8941	−	9.34967i	−1.20758	−	0.343237i
$743$	31.1663	−	26.1516i	1.14338	−	0.959411i	0.143837	−	0.989601i	$-0.454056\pi$
$743$	31.1663	−	26.1516i	1.14338	−	0.959411i	0.999544	+	0.0301905i	$0.00961141\pi$
$744$	−3.89697	+	18.2310i	−0.142870	+	0.668380i
$745$	−7.04342	+	2.56360i	−0.258051	+	0.0939229i
$746$	−1.30058	−	1.54997i	−0.0476175	−	0.0567484i
$747$	−14.5084	+	32.3863i	−0.530834	+	1.18495i
$748$	−1.31627	+	2.27984i	−0.0481275	+	0.0833593i
$749$	−33.1466	−	9.42144i	−1.21115	−	0.344252i
$750$	−19.7146	−	0.711083i	−0.719875	−	0.0259651i
$751$	7.38344	+	20.2858i	0.269426	+	0.740241i	0.998445	+	0.0557475i	$0.0177542\pi$
$751$	7.38344	+	20.2858i	0.269426	+	0.740241i	−0.729019	+	0.684493i	$0.760024\pi$
$752$	5.06423	+	2.92383i	0.184673	+	0.106621i
$753$	34.5587	−	26.9365i	1.25939	−	0.981619i
$754$	−1.84511	−	0.325343i	−0.0671950	−	0.0118483i
$755$	−5.47392	−	31.0442i	−0.199216	−	1.12981i
$756$	12.1457	−	6.44058i	0.441736	−	0.234242i
$757$	18.0556	+	6.57169i	0.656241	+	0.238852i	0.648612	−	0.761119i	$-0.275350\pi$
$757$	18.0556	+	6.57169i	0.656241	+	0.238852i	0.00762815	+	0.999971i	$0.497572\pi$
$758$	10.2369	−	1.80504i	0.371821	−	0.0655620i
$759$	−0.241663	+	0.596168i	−0.00877181	+	0.0216395i
$760$	3.21285	+	8.99636i	0.116542	+	0.326332i
$761$	−2.92170	−	1.68685i	−0.105912	−	0.0611481i	0.446109	−	0.894979i	$-0.352810\pi$
$761$	−2.92170	−	1.68685i	−0.105912	−	0.0611481i	−0.552020	+	0.833831i	$0.686143\pi$
$762$	−2.26585	+	10.6002i	−0.0820829	+	0.384004i
$763$	17.7712	+	1.82614i	0.643359	+	0.0661106i
$764$	19.3769	+	3.41668i	0.701033	+	0.123611i
$765$	−17.9885	+	26.5375i	−0.650374	+	0.959465i
$766$	−20.2547	−	16.9957i	−0.731832	−	0.614080i
$767$			32.3768i			1.16906i
$768$	1.06479	+	1.36610i	0.0384223	+	0.0492948i
$769$	−16.6261	−	13.9509i	−0.599552	−	0.503084i	0.291750	−	0.956495i	$-0.405763\pi$
$769$	−16.6261	−	13.9509i	−0.599552	−	0.503084i	−0.891302	+	0.453411i	$0.850207\pi$
$770$	3.12224	−	0.225611i	0.112518	−	0.00813045i
$771$	−9.88493	+	24.3855i	−0.355997	+	0.878223i
$772$	1.55963	−	0.900451i	0.0561322	−	0.0324079i
$773$	−6.37936	−	5.35292i	−0.229450	−	0.192531i	0.520813	−	0.853671i	$-0.325629\pi$
$773$	−6.37936	−	5.35292i	−0.229450	−	0.192531i	−0.750263	+	0.661139i	$0.770073\pi$
$774$	14.4300	+	29.7590i	0.518677	+	1.06966i
$775$	1.36301	−	1.62438i	0.0489609	−	0.0583493i
$776$	1.21594	−	3.34077i	0.0436497	−	0.119927i
$777$	−23.9711	+	45.2111i	−0.859958	+	1.62194i
$778$			32.6992i			1.17232i
$779$	−5.10776	+	27.9759i	−0.183005	+	1.00234i
$780$	−4.04849	+	9.98737i	−0.144959	+	0.357605i
$781$	−2.25612	+	6.19864i	−0.0807303	+	0.221805i
$782$	−2.56973	+	2.15626i	−0.0918934	+	0.0771077i
$783$	−0.818129	−	3.33010i	−0.0292376	−	0.119008i
$784$	−4.33519	−	5.49601i	−0.154828	−	0.196286i
$785$	−6.81699	−	18.7295i	−0.243309	−	0.668486i
$786$	−4.81786	−	1.95297i	−0.171848	−	0.0696602i
$787$	34.2999	+	19.8030i	1.22266	+	0.705902i	0.965484	−	0.260463i	$-0.0838751\pi$
$787$	34.2999	+	19.8030i	1.22266	+	0.705902i	0.257175	+	0.966365i	$0.417208\pi$
$788$	−2.06110	−	0.363427i	−0.0734235	−	0.0129465i
$789$	−10.7530	+	17.1646i	−0.382817	+	0.611074i
$790$	15.3604	+	26.6051i	0.546500	+	0.946566i
$791$	−18.0326	+	17.4949i	−0.641165	+	0.622048i
$792$	−1.61113	+	0.165602i	−0.0572491	+	0.00588441i
$793$	−11.5532	+	31.7423i	−0.410268	+	1.12720i
$794$	−11.0643	+	4.02709i	−0.392659	+	0.142916i
$795$	36.4234	+	32.8715i	1.29181	+	1.16583i
$796$	−0.271681	−	1.54078i	−0.00962948	−	0.0546115i
$797$	−27.1950			−0.963298			−0.481649	−	0.876364i	$-0.659962\pi$
$797$	−27.1950			−0.963298			−0.481649	+	0.876364i	$0.659962\pi$
$798$	7.39227	+	18.5568i	0.261683	+	0.656903i
$799$	−28.5144			−1.00877
$800$	−0.0342099	−	0.194014i	−0.00120950	−	0.00685943i
$801$	−2.91195	−	0.210335i	−0.102889	−	0.00743183i
$802$	−2.35566	+	0.857389i	−0.0831811	+	0.0302755i
$803$	0.553508	−	1.52075i	0.0195329	−	0.0536661i
$804$	−3.23756	+	5.16798i	−0.114180	+	0.182261i
$805$	3.83695	+	1.09060i	0.135235	+	0.0384385i
$806$	−15.2789	−	26.4638i	−0.538175	−	0.932146i
$807$	−34.5075	−	21.6177i	−1.21472	−	0.760979i
$808$	−12.3558	−	2.17867i	−0.434677	−	0.0766453i
$809$	−8.07859	−	4.66417i	−0.284028	−	0.163984i	0.351218	−	0.936294i	$-0.385768\pi$
$809$	−8.07859	−	4.66417i	−0.284028	−	0.163984i	−0.635246	+	0.772310i	$0.719101\pi$
$810$	−19.7151	+	0.597943i	−0.692718	+	0.0210096i
$811$	11.1928	+	30.7520i	0.393032	+	1.07985i	0.965610	+	0.259996i	$0.0837214\pi$
$811$	11.1928	+	30.7520i	0.393032	+	1.07985i	−0.572577	+	0.819851i	$0.694056\pi$
$812$	−1.59342	+	0.713872i	−0.0559181	+	0.0250520i
$813$	18.6897	−	9.91004i	0.655478	−	0.347560i
$814$	4.61823	−	3.87515i	0.161869	−	0.135824i
$815$	7.77438	−	21.3599i	0.272325	−	0.748206i
$816$	−7.82721	−	3.17284i	−0.274007	−	0.111072i
$817$	−45.2546	+	16.1617i	−1.58326	+	0.565425i
$818$			8.75427i			0.306086i
$819$	−7.70654	+	21.1753i	−0.269288	+	0.739926i
$820$	−4.89029	+	13.4360i	−0.170776	+	0.469204i
$821$	3.89804	−	4.64550i	0.136043	−	0.162129i	−0.693722	−	0.720243i	$-0.744030\pi$
$821$	3.89804	−	4.64550i	0.136043	−	0.162129i	0.829764	+	0.558114i	$0.188475\pi$
$822$	−0.108505	+	0.507613i	−0.00378454	+	0.0177050i
$823$	28.0991	+	23.5779i	0.979472	+	0.821875i	0.984010	−	0.178115i	$-0.0569999\pi$
$823$	28.0991	+	23.5779i	0.979472	+	0.821875i	−0.00453741	+	0.999990i	$0.501444\pi$
$824$	3.07691	−	1.77645i	0.107189	−	0.0618857i
$825$	0.170726	+	0.0692055i	0.00594390	+	0.00240942i
$826$	16.9303	+	24.9750i	0.589082	+	0.868992i
$827$	30.7830	+	25.8300i	1.07043	+	0.898196i	0.995091	−	0.0989622i	$-0.0315523\pi$
$827$	30.7830	+	25.8300i	1.07043	+	0.898196i	0.0753370	+	0.997158i	$0.475997\pi$
$828$	−2.00137	−	0.503876i	−0.0695524	−	0.0175109i
$829$			22.7876i			0.791446i	0.918370	+	0.395723i	$0.129506\pi$
$829$			22.7876i			0.791446i	−0.918370	+	0.395723i	$0.870494\pi$
$830$	−19.8593	−	16.6640i	−0.689328	−	0.578414i
$831$	−5.47085	−	16.9035i	−0.189782	−	0.586375i
$832$	−2.79590	−	0.492992i	−0.0969304	−	0.0170914i
$833$	31.7070	+	12.6396i	1.09858	+	0.437935i
$834$	3.18577	+	0.680976i	0.110314	+	0.0235803i
$835$	27.9177	+	16.1183i	0.966130	+	0.557796i
$836$	0.0142501	−	2.35321i	0.000492850	−	0.0813875i
$837$	33.0294	−	45.1337i	1.14166	−	1.56005i
$838$	38.1062	−	6.71916i	1.31636	−	0.232109i
$839$	3.54469	+	1.29016i	0.122376	+	0.0445413i	0.402482	−	0.915428i	$-0.368147\pi$
$839$	3.54469	+	1.29016i	0.122376	+	0.0445413i	−0.280106	+	0.959969i	$0.590370\pi$
$840$	2.09960	+	9.82113i	0.0724431	+	0.338861i
$841$	−4.96017	−	28.1305i	−0.171040	−	0.970018i
$842$	16.9217	+	2.98374i	0.583159	+	0.102827i
$843$	15.8749	+	20.3671i	0.546761	+	0.701479i
$844$	−6.23950	−	3.60238i	−0.214773	−	0.123999i
$845$	3.70277	+	10.1733i	0.127379	+	0.349971i
$846$	−10.2789	−	14.2162i	−0.353397	−	0.488763i
$847$	27.2526	+	7.74617i	0.936412	+	0.266161i
$848$	−6.46263	+	11.1936i	−0.221928	+	0.384390i
$849$	7.79365	−	4.13250i	0.267477	−	0.141827i
$850$	0.617492	+	0.735898i	0.0211798	+	0.0252411i
$851$	7.21883	−	2.62744i	0.247458	−	0.0900675i
$852$	−20.6956	−	4.42379i	−0.709019	−	0.151556i
$853$	−22.0860	+	18.5324i	−0.756212	+	0.634537i	−0.937138	−	0.348960i	$-0.886535\pi$
$853$	−22.0860	+	18.5324i	−0.756212	+	0.634537i	0.180926	+	0.983497i	$0.442091\pi$
$854$	7.68651	+	30.5269i	0.263027	+	1.04461i
$855$	2.23773	−	28.5710i	0.0765287	−	0.977109i
$856$	−6.51225	+	11.2795i	−0.222584	+	0.385527i
$857$	26.8614	+	9.77677i	0.917569	+	0.333968i	0.757271	−	0.653101i	$-0.226532\pi$
$857$	26.8614	+	9.77677i	0.917569	+	0.333968i	0.160298	+	0.987069i	$0.448754\pi$
$858$	1.77863	−	1.97082i	0.0607215	−	0.0672827i
$859$	−19.3415	−	16.2295i	−0.659925	−	0.553743i	0.250140	−	0.968210i	$-0.419523\pi$
$859$	−19.3415	−	16.2295i	−0.659925	−	0.553743i	−0.910064	+	0.414467i	$0.863968\pi$
$860$	−23.7936	+	4.19545i	−0.811354	+	0.143064i
$861$	−9.20548	+	28.4452i	−0.313722	+	0.969409i
$862$	3.17230	−	5.49458i	0.108049	−	0.187146i
$863$	−36.0291			−1.22644			−0.613222	−	0.789911i	$-0.710127\pi$
$863$	−36.0291			−1.22644			−0.613222	+	0.789911i	$0.710127\pi$
$864$	−1.23971	−	5.04610i	−0.0421759	−	0.171672i
$865$	−35.0001	−	6.17146i	−1.19004	−	0.209836i
$866$			26.1829i			0.889730i
$867$	11.6264	−	1.62039i	0.394853	−	0.0550313i
$868$	−25.6242	−	12.4242i	−0.869742	−	0.421706i
$869$	−1.31414	−	7.45283i	−0.0445790	−	0.252820i
$870$	2.50343	+	0.0902959i	0.0848742	+	0.00306132i
$871$	−1.73577	−	9.84403i	−0.0588143	−	0.333552i
$872$	2.30940	−	6.34503i	0.0782062	−	0.214870i
$873$	−7.42646	+	7.65511i	−0.251348	+	0.259086i
$874$	1.04265	−	2.81156i	0.0352681	−	0.0951026i
$875$	8.23884	−	28.9860i	0.278524	−	0.979904i
$876$	5.07737	+	1.08532i	0.171549	+	0.0366694i
$877$	10.9409	+	13.0389i	0.369449	+	0.440292i	0.918455	−	0.395526i	$-0.129438\pi$
$877$	10.9409	+	13.0389i	0.369449	+	0.440292i	−0.549005	+	0.835819i	$0.684993\pi$
$878$	−5.22296	−	14.3500i	−0.176266	−	0.484288i
$879$	27.5894	+	5.89739i	0.930569	+	0.198914i
$880$	0.205456	−	1.16520i	0.00692591	−	0.0392788i
$881$	1.76330	+	1.01804i	0.0594071	+	0.0342987i	0.529409	−	0.848366i	$-0.322414\pi$
$881$	1.76330	+	1.01804i	0.0594071	+	0.0342987i	−0.470002	+	0.882665i	$0.655747\pi$
$882$	5.12819	+	20.3642i	0.172675	+	0.685699i
$883$	18.7328	+	15.7187i	0.630408	+	0.528975i	0.901056	−	0.433704i	$-0.142793\pi$
$883$	18.7328	+	15.7187i	0.630408	+	0.528975i	−0.270648	+	0.962678i	$0.587238\pi$
$884$	13.0088	−	4.73482i	0.437534	−	0.159249i
$885$	−5.97555	−	42.8749i	−0.200866	−	1.44122i
$886$			18.2211i			0.612149i
$887$	−8.13182	+	46.1179i	−0.273040	+	1.54849i	0.472080	+	0.881556i	$0.343503\pi$
$887$	−8.13182	+	46.1179i	−0.273040	+	1.54849i	−0.745120	+	0.666931i	$0.767608\pi$
$888$	14.3587	+	12.9585i	0.481846	+	0.434857i
$889$	−14.8989	−	7.22392i	−0.499693	−	0.242282i
$890$	0.729458	−	2.00417i	0.0244515	−	0.0671799i
$891$	4.61412	+	1.52265i	0.154579	+	0.0510107i
$892$	1.54258	−	0.890612i	0.0516495	−	0.0298199i
$893$	22.1512	−	12.6108i	0.741263	−	0.422004i
$894$	0.817710	+	5.86712i	0.0273483	+	0.196226i
$895$	2.34857	+	2.79892i	0.0785040	+	0.0935574i
$896$	−2.41451	+	1.08173i	−0.0806631	+	0.0361381i
$897$	2.98869	−	1.58472i	0.0997896	−	0.0529124i
$898$	−10.7211	−	3.90216i	−0.357768	−	0.130217i
$899$	−4.56583	+	5.44134i	−0.152279	+	0.181479i
$900$	−0.144296	+	0.573136i	−0.00480986	+	0.0191045i
$901$		−	63.0263i		−	2.09971i
$902$	2.26405	−	2.69819i	0.0753847	−	0.0898400i
$903$	−49.4035	+	10.5617i	−1.64404	+	0.351471i
$904$	4.74811	+	8.22397i	0.157920	+	0.273525i
$905$	12.5475	+	21.7329i	0.417093	+	0.722426i
$906$	−24.8972	−	0.898015i	−0.827155	−	0.0298345i
$907$	−25.1969	−	30.0285i	−0.836650	−	0.997081i	−0.999945	−	0.0105035i	$-0.996657\pi$
$907$	−25.1969	−	30.0285i	−0.836650	−	0.997081i	0.163295	−	0.986577i	$-0.447788\pi$
$908$	11.2935	+	9.47635i	0.374787	+	0.314484i
$909$	31.1561	+	21.1192i	1.03338	+	0.700479i
$910$	−13.3402	−	9.64502i	−0.442224	−	0.319729i
$911$	−3.08163			−0.102099			−0.0510495	−	0.998696i	$-0.516257\pi$
$911$	−3.08163			−0.102099			−0.0510495	+	0.998696i	$0.516257\pi$
$912$	7.48373	−	0.996861i	0.247811	−	0.0330094i
$913$	3.19313	+	5.53067i	0.105677	+	0.183038i
$914$	19.4132	+	7.06583i	0.642132	+	0.233717i
$915$	9.44091	−	44.1669i	0.312107	−	1.46011i
$916$	3.29433	−	18.6831i	0.108848	−	0.617307i
$917$	4.65272	−	6.43527i	0.153646	−	0.212511i
$918$	17.5381	+	18.2867i	0.578844	+	0.603552i
$919$	12.2405	+	21.2012i	0.403777	+	0.699362i	0.994178	−	0.107748i	$-0.0343638\pi$
$919$	12.2405	+	21.2012i	0.403777	+	0.699362i	−0.590401	+	0.807110i	$0.701030\pi$
$920$	0.753837	−	1.30568i	0.0248533	−	0.0430471i
$921$	−26.3954	−	49.7801i	−0.869757	−	1.64031i
$922$	−1.25752	−	3.45502i	−0.0414143	−	0.113785i
$923$	30.0413	−	17.3444i	0.988822	−	0.570897i
$924$	0.341439	−	2.45034i	0.0112325	−	0.0806102i
$925$	−0.752424	−	2.06727i	−0.0247396	−	0.0679714i
$926$	−18.0707	−	6.57719i	−0.593839	−	0.216140i
$927$	−10.6029	+	1.08983i	−0.348244	+	0.0357946i
$928$	0.114597	+	0.649909i	0.00376182	+	0.0213343i
$929$	25.9519	−	4.57603i	0.851456	−	0.150135i	0.269144	−	0.963100i	$-0.413259\pi$
$929$	25.9519	−	4.57603i	0.851456	−	0.150135i	0.582312	+	0.812965i	$0.302148\pi$
$930$	25.1172	+	32.2246i	0.823625	+	1.05669i
$931$	−30.2213	+	4.20376i	−0.990464	+	0.137773i
$932$		−	4.86665i		−	0.159412i
$933$	−13.1434	−	11.8617i	−0.430295	−	0.388334i
$934$	4.96522	−	0.875502i	0.162467	−	0.0286473i
$935$	1.97325	+	5.42146i	0.0645321	+	0.177301i
$936$	7.05005	+	4.77888i	0.230438	+	0.156202i
$937$	−8.13995	+	2.96270i	−0.265920	+	0.0967871i	−0.471539	−	0.881845i	$-0.656301\pi$
$937$	−8.13995	+	2.96270i	−0.265920	+	0.0967871i	0.205619	+	0.978632i	$0.434079\pi$
$938$	−6.48654	−	6.68589i	−0.211793	−	0.218302i
$939$	1.39145	−	3.43262i	0.0454082	−	0.112019i
$940$	12.0427	−	4.38319i	0.392790	−	0.142964i
$941$	−1.96841	+	11.1634i	−0.0641684	+	0.363917i	0.935768	+	0.352617i	$0.114708\pi$
$941$	−1.96841	+	11.1634i	−0.0641684	+	0.363917i	−0.999936	+	0.0113003i	$0.996403\pi$
$942$	−15.6016	+	2.17442i	−0.508326	+	0.0708463i
$943$	3.88695	−	2.24413i	0.126577	−	0.0730790i
$944$	10.7164	−	3.90046i	0.348790	−	0.126949i
$945$	6.29718	−	29.4637i	0.204847	−	0.958455i
$946$	5.86132	+	1.03351i	0.190568	+	0.0336023i
$947$	−23.6085	−	28.1355i	−0.767173	−	0.914281i	0.231106	−	0.972929i	$-0.425766\pi$
$947$	−23.6085	−	28.1355i	−0.767173	−	0.914281i	−0.998279	+	0.0586478i	$0.981321\pi$
$948$	23.0997	−	7.47627i	0.750243	−	0.242818i
$949$	−7.37023	+	4.25520i	−0.239248	+	0.138130i
$950$	−0.805152	−	0.298585i	−0.0261226	−	0.00968739i
$951$	−20.7408	−	26.6099i	−0.672567	−	0.862885i
$952$	7.55891	−	10.4549i	0.244986	−	0.338845i
$953$	0.888820	+	0.323504i	0.0287917	+	0.0104793i	0.356376	−	0.934343i	$-0.384012\pi$
$953$	0.888820	+	0.323504i	0.0287917	+	0.0104793i	−0.327584	+	0.944822i	$0.606234\pi$
$954$	31.4225	−	22.7198i	1.01734	−	0.735582i
$955$	33.0327	−	27.7177i	1.06891	−	0.896923i
$956$	14.6693	−	17.4821i	0.474437	−	0.565413i
$957$	−0.571898	−	0.231825i	−0.0184868	−	0.00749383i
$958$	−5.27969	+	3.04823i	−0.170579	+	0.0984839i
$959$	−0.713466	−	0.345933i	−0.0230390	−	0.0111708i
$960$	3.79345	+	0.136825i	0.122433	+	0.00441602i
$961$	−84.8515			−2.73714
$962$	−31.7029			−1.02214
$963$	31.6637	−	22.8943i	1.02035	−	0.737757i
$964$	1.31148	−	3.60326i	0.0422400	−	0.116053i
$965$	0.685356	−	3.88685i	0.0220624	−	0.125122i
$966$	1.47676	−	2.78527i	0.0475140	−	0.0896145i
$967$	17.1020	−	14.3503i	0.549964	−	0.461475i	−0.324965	−	0.945726i	$-0.605352\pi$
$967$	17.1020	−	14.3503i	0.549964	−	0.461475i	0.874929	+	0.484251i	$0.160908\pi$
$968$	5.35427	−	9.27386i	0.172093	−	0.298073i
$969$	−29.1727	+	22.4558i	−0.937163	+	0.721383i
$970$	−3.89571	−	6.74756i	−0.125084	−	0.216651i
$971$	−2.27886	−	12.9241i	−0.0731322	−	0.414753i	−0.999292	−	0.0376222i	$-0.988022\pi$
$971$	−2.27886	−	12.9241i	−0.0731322	−	0.414753i	0.926160	−	0.377131i	$-0.123089\pi$
$972$	−2.79488	+	15.3359i	−0.0896458	+	0.491898i
$973$	−2.17107	+	4.47770i	−0.0696014	+	0.143549i
$974$	−0.304076	+	0.0536169i	−0.00974324	+	0.00171800i
$975$	−0.453820	−	0.855878i	−0.0145339	−	0.0274100i
$976$	11.8982			0.380853
$977$	16.1862	−	28.0352i	0.517841	−	0.896927i	−0.481944	−	0.876202i	$-0.660069\pi$
$977$	16.1862	−	28.0352i	0.517841	−	0.896927i	0.999785	−	0.0207250i	$-0.00659744\pi$
$978$	−15.2240	−	9.53727i	−0.486808	−	0.304968i
$979$	−0.337716	+	0.402475i	−0.0107935	+	0.0128631i
$980$	−15.3340	−	0.464225i	−0.489826	−	0.0148291i
$981$	−14.1049	+	14.5392i	−0.450334	+	0.464199i
$982$	−17.3239	−	3.05468i	−0.552829	−	0.0974786i
$983$	−8.44106	+	7.08289i	−0.269228	+	0.225909i	−0.767399	−	0.641170i	$-0.778450\pi$
$983$	−8.44106	+	7.08289i	−0.269228	+	0.225909i	0.498171	+	0.867079i	$0.334005\pi$
$984$	9.57628	+	5.99920i	0.305281	+	0.191248i
$985$	−3.51363	+	2.94829i	−0.111954	+	0.0939403i
$986$	−2.06848	−	2.46511i	−0.0658737	−	0.0785052i
$987$	24.8343	−	10.0676i	0.790484	−	0.320457i
$988$	−8.01178	+	9.43149i	−0.254889	+	0.300056i
$989$	6.56802	+	3.79205i	0.208851	+	0.120580i
$990$	−1.99161	+	2.93812i	−0.0632975	+	0.0933797i
$991$	43.0265	−	7.58673i	1.36678	−	0.241000i	0.558357	−	0.829601i	$-0.311432\pi$
$991$	43.0265	−	7.58673i	1.36678	−	0.241000i	0.808424	+	0.588601i	$0.200321\pi$
$992$	−6.91860	+	8.24527i	−0.219666	+	0.261788i
$993$	14.2379	+	12.8495i	0.451827	+	0.407766i
$994$	14.1038	−	29.0883i	0.447346	−	0.922624i
$995$	−2.96945	−	1.71441i	−0.0941379	−	0.0543505i
$996$	−16.1598	+	12.5956i	−0.512043	+	0.399107i
$997$	8.41937	−	47.7486i	0.266644	−	1.51221i	−0.497668	−	0.867368i	$-0.665810\pi$
$997$	8.41937	−	47.7486i	0.266644	−	1.51221i	0.764312	−	0.644847i	$-0.223079\pi$
$998$	1.17047	−	6.63808i	0.0370507	−	0.210125i
$999$	−23.4182	−	53.0889i	−0.740919	−	1.67966i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.cc.b.317.8	yes	162
3.2	odd	2		798.2.cc.a.317.4	yes	162
7.4	even	3		798.2.bu.b.431.26	yes	162
19.3	odd	18		798.2.bu.a.611.14	yes	162
21.11	odd	6		798.2.bu.a.431.14	✓	162
57.41	even	18		798.2.bu.b.611.26	yes	162
133.60	odd	18		798.2.cc.a.725.4	yes	162
399.326	even	18	inner	798.2.cc.b.725.8	yes	162

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.bu.a.431.14	✓	162	21.11	odd	6
798.2.bu.a.611.14	yes	162	19.3	odd	18
798.2.bu.b.431.26	yes	162	7.4	even	3
798.2.bu.b.611.26	yes	162	57.41	even	18
798.2.cc.a.317.4	yes	162	3.2	odd	2
798.2.cc.a.725.4	yes	162	133.60	odd	18
798.2.cc.b.317.8	yes	162	1.1	even	1	trivial
798.2.cc.b.725.8	yes	162	399.326	even	18	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	798.cc (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.173648 - 0.984808i) q^{2} +(-1.16044 + 1.28583i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-0.749562 + 2.05941i) q^{5} +(1.46781 + 0.919531i) q^{6} +(-1.89892 + 1.84231i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.306742 - 2.98428i) q^{9} +(2.15828 + 0.380563i) q^{10} +(-0.467544 - 0.269937i) q^{11} +(0.650679 - 1.60518i) q^{12} +(0.971005 + 2.66782i) q^{13} +(2.14406 + 1.55016i) q^{14} +(-1.77823 - 3.35364i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-1.66776 + 4.58213i) q^{17} +(-2.88567 + 0.820296i) q^{18} +(-0.730907 - 4.29718i) q^{19} -2.19157i q^{20} +(-0.165307 - 4.57959i) q^{21} +(-0.184648 + 0.507315i) q^{22} +(-0.442200 + 0.526994i) q^{23} +(-1.69379 - 0.362056i) q^{24} +(0.150916 + 0.126634i) q^{25} +(2.45867 - 1.41952i) q^{26} +(4.19324 + 3.06866i) q^{27} +(1.15430 - 2.38067i) q^{28} +(-0.505540 - 0.424198i) q^{29} +(-2.99390 + 2.33357i) q^{30} -10.7634i q^{31} +(-0.766044 - 0.642788i) q^{32} +(0.889653 - 0.287938i) q^{33} +(4.80212 + 0.846744i) q^{34} +(-2.37069 - 5.29158i) q^{35} +(1.30893 + 2.69939i) q^{36} +(-9.67075 - 5.58341i) q^{37} +(-4.10498 + 1.46600i) q^{38} +(-4.55717 - 1.84730i) q^{39} +(-2.15828 + 0.380563i) q^{40} +(-6.13074 - 2.23141i) q^{41} +(-4.48131 + 0.958033i) q^{42} +(-1.91435 - 10.8568i) q^{43} +(0.531672 + 0.0937481i) q^{44} +(6.37576 + 1.60519i) q^{45} +(0.595775 + 0.343971i) q^{46} +(2.00002 + 5.49501i) q^{47} +(-0.0624325 + 1.73093i) q^{48} +(0.211823 - 6.99679i) q^{49} +(0.0985035 - 0.170613i) q^{50} +(-3.95653 - 7.46177i) q^{51} +(-1.82489 - 2.17482i) q^{52} +(-12.1458 + 4.42070i) q^{53} +(2.29390 - 4.66241i) q^{54} +(0.906363 - 0.760529i) q^{55} +(-2.54495 - 0.723364i) q^{56} +(6.37364 + 4.04681i) q^{57} +(-0.329968 + 0.571521i) q^{58} +(10.7164 + 3.90046i) q^{59} +(2.81800 + 2.54320i) q^{60} +(9.11457 + 7.64803i) q^{61} +(-10.5999 + 1.86905i) q^{62} +(6.08043 + 5.10180i) q^{63} +(-0.500000 + 0.866025i) q^{64} -6.22194 q^{65} +(-0.438050 - 0.826137i) q^{66} +(-3.46739 - 0.611395i) q^{67} -4.87621i q^{68} +(-0.164479 - 1.18014i) q^{69} +(-4.79952 + 3.25355i) q^{70} +(-2.12172 - 12.0329i) q^{71} +(2.43109 - 1.75779i) q^{72} +(0.520536 + 2.95210i) q^{73} +(-3.81928 + 10.4934i) q^{74} +(-0.337960 + 0.0471020i) q^{75} +(2.15655 + 3.78805i) q^{76} +(1.38514 - 0.348770i) q^{77} +(-1.02789 + 4.80871i) q^{78} +(9.01042 + 10.7382i) q^{79} +(0.749562 + 2.05941i) q^{80} +(-8.81182 + 1.83081i) q^{81} +(-1.13291 + 6.42508i) q^{82} +(-10.2444 - 5.91459i) q^{83} +(1.72165 + 4.24687i) q^{84} +(-8.18638 - 6.86919i) q^{85} +(-10.3595 + 3.77054i) q^{86} +(1.13210 - 0.157783i) q^{87} -0.539874i q^{88} +(0.168991 - 0.958394i) q^{89} +(0.473669 - 6.55763i) q^{90} +(-6.75880 - 3.27709i) q^{91} +(0.235290 - 0.646454i) q^{92} +(13.8400 + 12.4904i) q^{93} +(5.06423 - 2.92383i) q^{94} +(9.39750 + 1.71577i) q^{95} +(1.71547 - 0.239088i) q^{96} +(-2.28522 - 2.72342i) q^{97} +(-6.92728 + 1.00638i) q^{98} +(-0.662151 + 1.47808i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 162 q + 81 q^{8} + 15 q^{13} - 9 q^{14} + 3 q^{15} - 12 q^{17} + 18 q^{18} - 36 q^{19} - 6 q^{22} + 12 q^{25} + 9 q^{27} - 12 q^{28} - 6 q^{29} - 12 q^{33} + 6 q^{34} + 12 q^{35} - 18 q^{37} - 9 q^{39}+ \cdots + 39 q^{99}+O(q^{100}) \) 162 * q + 81 * q^8 + 15 * q^13 - 9 * q^14 + 3 * q^15 - 12 * q^17 + 18 * q^18 - 36 * q^19 - 6 * q^22 + 12 * q^25 + 9 * q^27 - 12 * q^28 - 6 * q^29 - 12 * q^33 + 6 * q^34 + 12 * q^35 - 18 * q^37 - 9 * q^39 - 9 * q^43 - 6 * q^44 + 18 * q^45 - 18 * q^46 - 12 * q^47 + 24 * q^49 - 87 * q^50 + 24 * q^51 + 12 * q^52 + 36 * q^53 + 18 * q^54 - 18 * q^57 - 24 * q^59 - 27 * q^60 - 9 * q^61 - 36 * q^62 + 6 * q^63 - 81 * q^64 + 72 * q^65 + 12 * q^66 - 63 * q^67 - 9 * q^69 + 12 * q^70 - 12 * q^71 - 51 * q^73 + 42 * q^74 - 18 * q^78 + 21 * q^79 - 12 * q^81 + 3 * q^84 - 6 * q^85 - 36 * q^86 - 84 * q^87 + 54 * q^89 + 12 * q^90 + 75 * q^91 - 66 * q^93 + 72 * q^94 - 12 * q^97 - 12 * q^98 + 39 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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