LMFDB - Embedded newform 605.2.g.n.511.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [605,2,Mod(81,605)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(605, base_ring=CyclotomicField(10))

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

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

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

chi := DirichletCharacter("605.81");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 605 = 5 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	605.g (of order $5$, degree $4$, not 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:	$4.83094932229$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{5})$
Coefficient field:	8.0.159390625.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - x^{7} + 6x^{6} - 11x^{5} + 21x^{4} - 5x^{3} + 10x^{2} + 25x + 25 $ x^8 - x^7 + 6x^6 - 11x^5 + 21x^4 - 5x^3 + 10x^2 + 25x + 25
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	no (minimal twist has level 55)
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			511.1
Root			$-0.628998 - 0.456994i$ of defining polynomial
Character	$\chi$	$=$	605.511
Dual form			605.2.g.n.251.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.697759 - 2.14748i) q^{2} +(-0.628998 - 0.456994i) q^{3} +(-2.50678 + 1.82128i) q^{4} +(0.309017 - 0.951057i) q^{5} +(-0.542497 + 1.66963i) q^{6} +(0.100294 - 0.0728678i) q^{7} +(2.00678 + 1.45801i) q^{8} +(-0.740256 - 2.27827i) q^{9} +O(q^{10})$	\(q+(-0.697759 - 2.14748i) q^{2} +(-0.628998 - 0.456994i) q^{3} +(-2.50678 + 1.82128i) q^{4} +(0.309017 - 0.951057i) q^{5} +(-0.542497 + 1.66963i) q^{6} +(0.100294 - 0.0728678i) q^{7} +(2.00678 + 1.45801i) q^{8} +(-0.740256 - 2.27827i) q^{9} -2.25800 q^{10} +2.40907 q^{12} +(-1.69776 - 5.22517i) q^{13} +(-0.226463 - 0.164535i) q^{14} +(-0.628998 + 0.456994i) q^{15} +(-0.184207 + 0.566931i) q^{16} +(-0.160531 + 0.494063i) q^{17} +(-4.37603 + 3.17937i) q^{18} +(2.55605 + 1.85708i) q^{19} +(0.957503 + 2.94689i) q^{20} -0.0963848 q^{21} -7.92856 q^{23} +(-0.595957 - 1.83417i) q^{24} +(-0.809017 - 0.587785i) q^{25} +(-10.0363 + 7.29181i) q^{26} +(-1.29630 + 3.98962i) q^{27} +(-0.118702 + 0.365326i) q^{28} +(-3.29805 + 2.39618i) q^{29} +(1.42027 + 1.03189i) q^{30} +(2.17827 + 6.70403i) q^{31} +6.30703 q^{32} +1.17300 q^{34} +(-0.0383089 - 0.117903i) q^{35} +(6.00503 + 4.36291i) q^{36} +(7.10927 - 5.16519i) q^{37} +(2.20454 - 6.78486i) q^{38} +(-1.31998 + 4.06248i) q^{39} +(2.00678 - 1.45801i) q^{40} +(-6.10927 - 4.43864i) q^{41} +(0.0672534 + 0.206985i) q^{42} -3.42310 q^{43} -2.39552 q^{45} +(5.53222 + 17.0264i) q^{46} +(-0.369254 - 0.268279i) q^{47} +(0.374949 - 0.272417i) q^{48} +(-2.15837 + 6.64278i) q^{49} +(-0.697759 + 2.14748i) q^{50} +(0.326757 - 0.237403i) q^{51} +(13.7724 + 10.0062i) q^{52} +(0.0109640 + 0.0337437i) q^{53} +9.47214 q^{54} +0.307509 q^{56} +(-0.759076 - 2.33620i) q^{57} +(7.44699 + 5.41056i) q^{58} +(4.42925 - 3.21804i) q^{59} +(0.744444 - 2.29116i) q^{60} +(-2.37603 + 7.31267i) q^{61} +(12.8769 - 9.35559i) q^{62} +(-0.240256 - 0.174556i) q^{63} +(-4.03237 - 12.4104i) q^{64} -5.49406 q^{65} -2.53792 q^{67} +(-0.497412 - 1.53088i) q^{68} +(4.98705 + 3.62330i) q^{69} +(-0.226463 + 0.164535i) q^{70} +(3.79264 - 11.6725i) q^{71} +(1.83621 - 5.65128i) q^{72} +(6.89377 - 5.00862i) q^{73} +(-16.0527 - 11.6630i) q^{74} +(0.240256 + 0.739431i) q^{75} -9.78970 q^{76} +9.64514 q^{78} +(-1.93868 - 5.96665i) q^{79} +(0.482260 + 0.350382i) q^{80} +(-3.17544 + 2.30709i) q^{81} +(-5.26911 + 16.2166i) q^{82} +(-0.193571 + 0.595751i) q^{83} +(0.241615 - 0.175544i) q^{84} +(0.420275 + 0.305348i) q^{85} +(2.38850 + 7.35105i) q^{86} +3.16951 q^{87} -10.1852 q^{89} +(1.67149 + 5.14433i) q^{90} +(-0.551021 - 0.400340i) q^{91} +(19.8751 - 14.4401i) q^{92} +(1.69357 - 5.21228i) q^{93} +(-0.318473 + 0.980160i) q^{94} +(2.55605 - 1.85708i) q^{95} +(-3.96711 - 2.88227i) q^{96} +(-0.567013 - 1.74509i) q^{97} +15.7713 q^{98} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 4 q^{2} + q^{3} - 6 q^{4} - 2 q^{5} - 13 q^{6} + 3 q^{7} + 2 q^{8} - 5 q^{9}+O(q^{10}) $ 8 * q + 4 * q^2 + q^3 - 6 * q^4 - 2 * q^5 - 13 * q^6 + 3 * q^7 + 2 * q^8 - 5 * q^9	$ 8 q + 4 q^{2} + q^{3} - 6 q^{4} - 2 q^{5} - 13 q^{6} + 3 q^{7} + 2 q^{8} - 5 q^{9} - 6 q^{10} - 28 q^{12} - 4 q^{13} + 16 q^{14} + q^{15} - 20 q^{16} - q^{17} - 14 q^{18} + q^{19} - q^{20} + 12 q^{21} - 18 q^{23} - 25 q^{24} - 2 q^{25} - 14 q^{26} + 10 q^{27} - 4 q^{28} - 19 q^{29} + 12 q^{30} + 6 q^{31} - 12 q^{32} - 20 q^{34} + 8 q^{35} + 21 q^{36} + 4 q^{37} - 6 q^{38} - 9 q^{39} + 2 q^{40} + 4 q^{41} + 29 q^{42} - 42 q^{43} + 41 q^{46} + 4 q^{47} - 19 q^{48} - 15 q^{49} + 4 q^{50} - 13 q^{51} + 26 q^{52} + 3 q^{53} + 40 q^{54} + 30 q^{56} + 5 q^{57} - 6 q^{58} - 19 q^{59} + 22 q^{60} + 2 q^{61} + 38 q^{62} - q^{63} + 6 q^{64} - 14 q^{65} - 2 q^{67} - 35 q^{68} - 21 q^{69} + 16 q^{70} + 40 q^{71} + 34 q^{72} + 23 q^{73} - 48 q^{74} + q^{75} - 16 q^{76} + 12 q^{78} - 17 q^{79} + 15 q^{80} + 2 q^{82} + 25 q^{83} + 4 q^{84} + 4 q^{85} - 31 q^{86} - 30 q^{87} + 16 q^{90} - 12 q^{91} + 81 q^{92} - 13 q^{93} - 33 q^{94} + q^{95} - 23 q^{96} + 12 q^{97} + 84 q^{98}+O(q^{100}) $ 8 * q + 4 * q^2 + q^3 - 6 * q^4 - 2 * q^5 - 13 * q^6 + 3 * q^7 + 2 * q^8 - 5 * q^9 - 6 * q^10 - 28 * q^12 - 4 * q^13 + 16 * q^14 + q^15 - 20 * q^16 - q^17 - 14 * q^18 + q^19 - q^20 + 12 * q^21 - 18 * q^23 - 25 * q^24 - 2 * q^25 - 14 * q^26 + 10 * q^27 - 4 * q^28 - 19 * q^29 + 12 * q^30 + 6 * q^31 - 12 * q^32 - 20 * q^34 + 8 * q^35 + 21 * q^36 + 4 * q^37 - 6 * q^38 - 9 * q^39 + 2 * q^40 + 4 * q^41 + 29 * q^42 - 42 * q^43 + 41 * q^46 + 4 * q^47 - 19 * q^48 - 15 * q^49 + 4 * q^50 - 13 * q^51 + 26 * q^52 + 3 * q^53 + 40 * q^54 + 30 * q^56 + 5 * q^57 - 6 * q^58 - 19 * q^59 + 22 * q^60 + 2 * q^61 + 38 * q^62 - q^63 + 6 * q^64 - 14 * q^65 - 2 * q^67 - 35 * q^68 - 21 * q^69 + 16 * q^70 + 40 * q^71 + 34 * q^72 + 23 * q^73 - 48 * q^74 + q^75 - 16 * q^76 + 12 * q^78 - 17 * q^79 + 15 * q^80 + 2 * q^82 + 25 * q^83 + 4 * q^84 + 4 * q^85 - 31 * q^86 - 30 * q^87 + 16 * q^90 - 12 * q^91 + 81 * q^92 - 13 * q^93 - 33 * q^94 + q^95 - 23 * q^96 + 12 * q^97 + 84 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/605\mathbb{Z}\right)^\times$.

$n$	$122$	$486$
$\chi(n)$	$1$	$e\left(\frac{2}{5}\right)$

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 $

$2$	−0.697759	−	2.14748i	−0.493390	−	1.51850i	−0.819451	−	0.573150i	$-0.805721\pi$
$2$	−0.697759	−	2.14748i	−0.493390	−	1.51850i	0.326060	−	0.945349i	$-0.394279\pi$
$3$	−0.628998	−	0.456994i	−0.363152	−	0.263845i	0.391213	−	0.920300i	$-0.372055\pi$
$3$	−0.628998	−	0.456994i	−0.363152	−	0.263845i	−0.754366	+	0.656454i	$0.772055\pi$
$4$	−2.50678	+	1.82128i	−1.25339	+	0.910640i
$5$	0.309017	−	0.951057i	0.138197	−	0.425325i
$5$	0.309017	−	0.951057i	0.138197	−	0.425325i
$6$	−0.542497	+	1.66963i	−0.221473	+	0.681625i
$7$	0.100294	−	0.0728678i	0.0379075	−	0.0275414i	−0.568670	−	0.822566i	$-0.692542\pi$
$7$	0.100294	−	0.0728678i	0.0379075	−	0.0275414i	0.606578	+	0.795024i	$0.292542\pi$
$8$	2.00678	+	1.45801i	0.709502	+	0.515484i
$9$	−0.740256	−	2.27827i	−0.246752	−	0.759424i
$10$	−2.25800			−0.714041
$11$		0			0
$11$		0			0
$12$	2.40907			0.695439
$13$	−1.69776	−	5.22517i	−0.470874	−	1.44920i	−0.851443	−	0.524448i	$-0.824272\pi$
$13$	−1.69776	−	5.22517i	−0.470874	−	1.44920i	0.380569	−	0.924753i	$-0.375728\pi$
$14$	−0.226463	−	0.164535i	−0.0605248	−	0.0439739i
$15$	−0.628998	+	0.456994i	−0.162407	+	0.117995i
$16$	−0.184207	+	0.566931i	−0.0460517	+	0.141733i
$17$	−0.160531	+	0.494063i	−0.0389344	+	0.119828i	−0.968635	−	0.248489i	$-0.920066\pi$
$17$	−0.160531	+	0.494063i	−0.0389344	+	0.119828i	0.929700	+	0.368317i	$0.120066\pi$
$18$	−4.37603	+	3.17937i	−1.03144	+	0.749385i
$19$	2.55605	+	1.85708i	0.586398	+	0.426043i	0.841025	−	0.540996i	$-0.181953\pi$
$19$	2.55605	+	1.85708i	0.586398	+	0.426043i	−0.254627	+	0.967039i	$0.581953\pi$
$20$	0.957503	+	2.94689i	0.214104	+	0.658945i
$21$	−0.0963848			−0.0210329
$22$		0			0
$23$	−7.92856			−1.65322			−0.826609	−	0.562776i	$-0.809733\pi$
$23$	−7.92856			−1.65322			−0.826609	+	0.562776i	$0.809733\pi$
$24$	−0.595957	−	1.83417i	−0.121649	−	0.374398i
$25$	−0.809017	−	0.587785i	−0.161803	−	0.117557i
$26$	−10.0363	+	7.29181i	−1.96828	+	1.43004i
$27$	−1.29630	+	3.98962i	−0.249474	+	0.767802i
$28$	−0.118702	+	0.365326i	−0.0224325	+	0.0690402i
$29$	−3.29805	+	2.39618i	−0.612433	+	0.444959i	−0.850270	−	0.526346i	$-0.823562\pi$
$29$	−3.29805	+	2.39618i	−0.612433	+	0.444959i	0.237837	+	0.971305i	$0.423562\pi$
$30$	1.42027	+	1.03189i	0.259306	+	0.188396i
$31$	2.17827	+	6.70403i	0.391229	+	1.20408i	0.931860	+	0.362819i	$0.118186\pi$
$31$	2.17827	+	6.70403i	0.391229	+	1.20408i	−0.540631	+	0.841260i	$0.681814\pi$
$32$	6.30703			1.11494
$33$		0			0
$34$	1.17300			0.201168
$35$	−0.0383089	−	0.117903i	−0.00647538	−	0.0199292i
$36$	6.00503	+	4.36291i	1.00084	+	0.727151i
$37$	7.10927	−	5.16519i	1.16876	−	0.849151i	0.177897	−	0.984049i	$-0.443071\pi$
$37$	7.10927	−	5.16519i	1.16876	−	0.849151i	0.990860	+	0.134898i	$0.0430706\pi$
$38$	2.20454	−	6.78486i	0.357623	−	1.10065i
$39$	−1.31998	+	4.06248i	−0.211366	+	0.650518i
$40$	2.00678	−	1.45801i	0.317299	−	0.230531i
$41$	−6.10927	−	4.43864i	−0.954108	−	0.693200i	−0.00233277	−	0.999997i	$-0.500743\pi$
$41$	−6.10927	−	4.43864i	−0.954108	−	0.693200i	−0.951775	+	0.306798i	$0.900743\pi$
$42$	0.0672534	+	0.206985i	0.0103774	+	0.0319384i
$43$	−3.42310			−0.522018			−0.261009	−	0.965336i	$-0.584055\pi$
$43$	−3.42310			−0.522018			−0.261009	+	0.965336i	$0.584055\pi$
$44$		0			0
$45$	−2.39552			−0.357103
$46$	5.53222	+	17.0264i	0.815682	+	2.51041i
$47$	−0.369254	−	0.268279i	−0.0538612	−	0.0391325i	0.560529	−	0.828135i	$-0.310598\pi$
$47$	−0.369254	−	0.268279i	−0.0538612	−	0.0391325i	−0.614390	+	0.789002i	$0.710598\pi$
$48$	0.374949	−	0.272417i	0.0541193	−	0.0393200i
$49$	−2.15837	+	6.64278i	−0.308339	+	0.948968i
$50$	−0.697759	+	2.14748i	−0.0986780	+	0.303700i
$51$	0.326757	−	0.237403i	0.0457551	−	0.0332431i
$52$	13.7724	+	10.0062i	1.90989	+	1.38761i
$53$	0.0109640	+	0.0337437i	0.00150602	+	0.00463505i	0.951807	−	0.306699i	$-0.0992243\pi$
$53$	0.0109640	+	0.0337437i	0.00150602	+	0.00463505i	−0.950301	+	0.311334i	$0.899224\pi$
$54$	9.47214			1.28899
$55$		0			0
$56$	0.307509			0.0410926
$57$	−0.759076	−	2.33620i	−0.100542	−	0.309437i
$58$	7.44699	+	5.41056i	0.977838	+	0.710441i
$59$	4.42925	−	3.21804i	0.576639	−	0.418953i	−0.260872	−	0.965373i	$-0.584010\pi$
$59$	4.42925	−	3.21804i	0.576639	−	0.418953i	0.837511	+	0.546421i	$0.184010\pi$
$60$	0.744444	−	2.29116i	0.0961073	−	0.295788i
$61$	−2.37603	+	7.31267i	−0.304219	+	0.936291i	0.675748	+	0.737133i	$0.263821\pi$
$61$	−2.37603	+	7.31267i	−0.304219	+	0.936291i	−0.979967	+	0.199158i	$0.936179\pi$
$62$	12.8769	−	9.35559i	1.63536	−	1.18816i
$63$	−0.240256	−	0.174556i	−0.0302694	−	0.0219920i
$64$	−4.03237	−	12.4104i	−0.504047	−	1.55130i
$65$	−5.49406			−0.681455
$66$		0			0
$67$	−2.53792			−0.310056			−0.155028	−	0.987910i	$-0.549547\pi$
$67$	−2.53792			−0.310056			−0.155028	+	0.987910i	$0.549547\pi$
$68$	−0.497412	−	1.53088i	−0.0603200	−	0.185646i
$69$	4.98705	+	3.62330i	0.600370	+	0.436194i
$70$	−0.226463	+	0.164535i	−0.0270675	+	0.0196657i
$71$	3.79264	−	11.6725i	0.450103	−	1.38527i	−0.426686	−	0.904400i	$-0.640319\pi$
$71$	3.79264	−	11.6725i	0.450103	−	1.38527i	0.876789	−	0.480875i	$-0.159681\pi$
$72$	1.83621	−	5.65128i	0.216400	−	0.666010i
$73$	6.89377	−	5.00862i	0.806855	−	0.586214i	−0.106062	−	0.994359i	$-0.533824\pi$
$73$	6.89377	−	5.00862i	0.806855	−	0.586214i	0.912917	+	0.408145i	$0.133824\pi$
$74$	−16.0527	−	11.6630i	−1.86609	−	1.35579i
$75$	0.240256	+	0.739431i	0.0277424	+	0.0853822i
$76$	−9.78970			−1.12296
$77$		0			0
$78$	9.64514			1.09210
$79$	−1.93868	−	5.96665i	−0.218119	−	0.671301i	−0.998917	−	0.0465180i	$-0.985188\pi$
$79$	−1.93868	−	5.96665i	−0.218119	−	0.671301i	0.780799	−	0.624783i	$-0.214812\pi$
$80$	0.482260	+	0.350382i	0.0539183	+	0.0391739i
$81$	−3.17544	+	2.30709i	−0.352827	+	0.256344i
$82$	−5.26911	+	16.2166i	−0.581876	+	1.79083i
$83$	−0.193571	+	0.595751i	−0.0212472	+	0.0653922i	−0.961118	−	0.276138i	$-0.910945\pi$
$83$	−0.193571	+	0.595751i	−0.0212472	+	0.0653922i	0.939871	+	0.341530i	$0.110945\pi$
$84$	0.241615	−	0.175544i	0.0263624	−	0.0191534i
$85$	0.420275	+	0.305348i	0.0455852	+	0.0331196i
$86$	2.38850	+	7.35105i	0.257559	+	0.792684i
$87$	3.16951			0.339807
$88$		0			0
$89$	−10.1852			−1.07963			−0.539816	−	0.841783i	$-0.681506\pi$
$89$	−10.1852			−1.07963			−0.539816	+	0.841783i	$0.681506\pi$
$90$	1.67149	+	5.14433i	0.176191	+	0.542260i
$91$	−0.551021	−	0.400340i	−0.0577627	−	0.0419671i
$92$	19.8751	−	14.4401i	2.07212	−	1.50549i
$93$	1.69357	−	5.21228i	0.175615	−	0.540488i
$94$	−0.318473	+	0.980160i	−0.0328480	+	0.101096i
$95$	2.55605	−	1.85708i	0.262245	−	0.190532i
$96$	−3.96711	−	2.88227i	−0.404891	−	0.294171i
$97$	−0.567013	−	1.74509i	−0.0575714	−	0.177187i	0.918135	−	0.396267i	$-0.129694\pi$
$97$	−0.567013	−	1.74509i	−0.0575714	−	0.177187i	−0.975707	+	0.219080i	$0.929694\pi$
$98$	15.7713			1.59314
$99$		0			0
$100$	3.09855			0.309855
$101$	−0.379378	−	1.16760i	−0.0377495	−	0.116181i	0.930406	−	0.366531i	$-0.119454\pi$
$101$	−0.379378	−	1.16760i	−0.0377495	−	0.116181i	−0.968156	+	0.250350i	$0.919454\pi$
$102$	−0.737816	−	0.536055i	−0.0730547	−	0.0530773i
$103$	1.90756	−	1.38593i	0.187958	−	0.136559i	−0.489827	−	0.871820i	$-0.662940\pi$
$103$	1.90756	−	1.38593i	0.187958	−	0.136559i	0.677785	+	0.735260i	$0.262940\pi$
$104$	4.21131	−	12.9611i	0.412953	−	1.27094i
$105$	−0.0297845	+	0.0916674i	−0.00290667	+	0.00894582i
$106$	0.0648137	−	0.0470899i	0.00629526	−	0.00457378i
$107$	4.67758	+	3.39846i	0.452199	+	0.328542i	0.790463	−	0.612509i	$-0.209840\pi$
$107$	4.67758	+	3.39846i	0.452199	+	0.328542i	−0.338265	+	0.941051i	$0.609840\pi$
$108$	−4.01666	−	12.3620i	−0.386503	−	1.18953i
$109$	−4.21902			−0.404109			−0.202054	−	0.979374i	$-0.564762\pi$
$109$	−4.21902			−0.404109			−0.202054	+	0.979374i	$0.564762\pi$
$110$		0			0
$111$	−6.83217			−0.648481
$112$	0.0228361	+	0.0702824i	0.00215781	+	0.00664106i
$113$	−12.2313	−	8.88652i	−1.15062	−	0.835974i	−0.162056	−	0.986782i	$-0.551813\pi$
$113$	−12.2313	−	8.88652i	−1.15062	−	0.835974i	−0.988563	+	0.150808i	$0.951813\pi$
$114$	−4.48729	+	3.26021i	−0.420273	+	0.305346i
$115$	−2.45006	+	7.54051i	−0.228469	+	0.703156i
$116$	3.90337	−	12.0134i	0.362419	−	1.11541i
$117$	−10.6476	+	7.73592i	−0.984369	+	0.715186i
$118$	−10.0012	−	7.26632i	−0.920688	−	0.668919i
$119$	0.0199010	+	0.0612490i	0.00182432	+	0.00561469i
$120$	−1.92856			−0.176053
$121$		0			0
$122$	17.3617			1.57186
$123$	1.81429	+	5.58380i	0.163589	+	0.503474i
$124$	−17.6703	−	12.8383i	−1.58684	−	1.15291i
$125$	−0.809017	+	0.587785i	−0.0723607	+	0.0525731i
$126$	−0.207215	+	0.637743i	−0.0184602	+	0.0568147i
$127$	3.30954	−	10.1857i	0.293674	−	0.903835i	−0.689990	−	0.723819i	$-0.742385\pi$
$127$	3.30954	−	10.1857i	0.293674	−	0.903835i	0.983664	−	0.180016i	$-0.0576150\pi$
$128$	−13.6324	+	9.90454i	−1.20495	+	0.875446i
$129$	2.15313	+	1.56434i	0.189572	+	0.137732i
$130$	3.83353	+	11.7984i	0.336223	+	1.03479i
$131$	−6.56014			−0.573163			−0.286581	−	0.958056i	$-0.592519\pi$
$131$	−6.56014			−0.573163			−0.286581	+	0.958056i	$0.592519\pi$
$132$		0			0
$133$	0.391677			0.0339627
$134$	1.77086	+	5.45014i	0.152979	+	0.470820i
$135$	3.39377	+	2.46572i	0.292089	+	0.212215i
$136$	−1.04250	+	0.757418i	−0.0893934	+	0.0649481i
$137$	2.58810	−	7.96536i	0.221116	−	0.680526i	−0.777546	−	0.628826i	$-0.783536\pi$
$137$	2.58810	−	7.96536i	0.221116	−	0.680526i	0.998663	−	0.0517005i	$-0.0164641\pi$
$138$	4.30122	−	13.2378i	0.366144	−	1.12688i
$139$	−12.9503	+	9.40892i	−1.09843	+	0.798054i	−0.980802	−	0.195004i	$-0.937528\pi$
$139$	−12.9503	+	9.40892i	−1.09843	+	0.798054i	−0.117625	+	0.993058i	$0.537528\pi$
$140$	0.310765	+	0.225784i	0.0262645	+	0.0190822i
$141$	0.109658	+	0.337493i	0.00923489	+	0.0284221i
$142$	−27.7129			−2.32561
$143$		0			0
$144$	1.42798			0.118999
$145$	1.25974	+	3.87709i	0.104616	+	0.321975i
$146$	−15.5661	−	11.3094i	−1.28826	−	0.935976i
$147$	4.39332	−	3.19193i	0.362355	−	0.263266i
$148$	−8.41410	+	25.8959i	−0.691635	+	2.12863i
$149$	4.29145	−	13.2077i	0.351569	−	1.08202i	−0.606403	−	0.795158i	$-0.707388\pi$
$149$	4.29145	−	13.2077i	0.351569	−	1.08202i	0.957972	−	0.286861i	$-0.0926119\pi$
$150$	1.42027	−	1.03189i	0.115965	−	0.0842535i
$151$	6.67408	+	4.84901i	0.543129	+	0.394606i	0.825246	−	0.564774i	$-0.191037\pi$
$151$	6.67408	+	4.84901i	0.543129	+	0.394606i	−0.282117	+	0.959380i	$0.591037\pi$
$152$	2.42178	+	7.45348i	0.196433	+	0.604557i
$153$	1.24444			0.100607
$154$		0			0
$155$	7.04903			0.566192
$156$	−4.09002	−	12.5878i	−0.327464	−	1.00783i
$157$	−8.32082	−	6.04543i	−0.664074	−	0.482478i	0.203962	−	0.978979i	$-0.434618\pi$
$157$	−8.32082	−	6.04543i	−0.664074	−	0.482478i	−0.868036	+	0.496501i	$0.834618\pi$
$158$	−11.4605	+	8.32657i	−0.911752	+	0.662426i
$159$	0.00852432	−	0.0262352i	0.000676023	−	0.00208058i
$160$	1.94898	−	5.99834i	0.154080	−	0.474210i
$161$	−0.795186	+	0.577736i	−0.0626694	+	0.0455320i
$162$	7.17014	+	5.20941i	0.563339	+	0.409290i
$163$	−0.645379	−	1.98627i	−0.0505500	−	0.155577i	0.922595	−	0.385770i	$-0.126064\pi$
$163$	−0.645379	−	1.98627i	−0.0505500	−	0.155577i	−0.973145	+	0.230193i	$0.926064\pi$
$164$	23.3986			1.82712
$165$		0			0
$166$	1.41443			0.109781
$167$	−5.13836	−	15.8143i	−0.397618	−	1.22374i	−0.926904	−	0.375300i	$-0.877540\pi$
$167$	−5.13836	−	15.8143i	−0.397618	−	1.22374i	0.529285	−	0.848444i	$-0.322460\pi$
$168$	−0.193423	−	0.140530i	−0.0149229	−	0.0108421i
$169$	−13.9027	+	10.1009i	−1.06944	+	0.776995i
$170$	0.362478	−	1.11559i	0.0278008	−	0.0855620i
$171$	2.33880	−	7.19809i	0.178853	−	0.550452i
$172$	8.58095	−	6.23443i	0.654292	−	0.475371i
$173$	−15.6338	−	11.3586i	−1.18861	−	0.863579i	−0.195498	−	0.980704i	$-0.562632\pi$
$173$	−15.6338	−	11.3586i	−1.18861	−	0.863579i	−0.993117	+	0.117125i	$0.962632\pi$
$174$	−2.21155	−	6.80646i	−0.167657	−	0.515996i
$175$	−0.123970			−0.00937126
$176$		0			0
$177$	−4.25661			−0.319947
$178$	7.10683	+	21.8726i	0.532679	+	1.63942i
$179$	2.34694	+	1.70515i	0.175418	+	0.127449i	0.672030	−	0.740524i	$-0.265423\pi$
$179$	2.34694	+	1.70515i	0.175418	+	0.127449i	−0.496612	+	0.867973i	$0.665423\pi$
$180$	6.00503	−	4.36291i	0.447588	−	0.325192i
$181$	3.09544	−	9.52678i	0.230082	−	0.708120i	−0.767654	−	0.640865i	$-0.778576\pi$
$181$	3.09544	−	9.52678i	0.230082	−	0.708120i	0.997736	−	0.0672551i	$-0.0214241\pi$
$182$	−0.475243	+	1.46265i	−0.0352274	+	0.108419i
$183$	4.83636	−	3.51382i	0.357514	−	0.259749i
$184$	−15.9108	−	11.5599i	−1.17296	−	0.852207i
$185$	−2.71550	−	8.35745i	−0.199647	−	0.614452i
$186$	−12.3750			−0.907377
$187$		0			0
$188$	1.41425			0.103145
$189$	0.160703	+	0.494593i	0.0116894	+	0.0359763i
$190$	−5.77155	−	4.19328i	−0.418712	−	0.304212i
$191$	10.9739	−	7.97299i	0.794042	−	0.576906i	−0.115118	−	0.993352i	$-0.536725\pi$
$191$	10.9739	−	7.97299i	0.794042	−	0.576906i	0.909160	+	0.416446i	$0.136725\pi$
$192$	−3.13511	+	9.64887i	−0.226257	+	0.696347i
$193$	−4.23121	+	13.0223i	−0.304569	+	0.937368i	0.675268	+	0.737572i	$0.264028\pi$
$193$	−4.23121	+	13.0223i	−0.304569	+	0.937368i	−0.979838	+	0.199796i	$0.935972\pi$
$194$	−3.35190	+	2.43530i	−0.240653	+	0.174844i
$195$	3.45576	+	2.51075i	0.247472	+	0.179799i
$196$	−6.68781	−	20.5830i	−0.477701	−	1.47021i
$197$	−2.59965			−0.185217			−0.0926087	−	0.995703i	$-0.529521\pi$
$197$	−2.59965			−0.185217			−0.0926087	+	0.995703i	$0.529521\pi$
$198$		0			0
$199$	17.6907			1.25406			0.627029	−	0.778996i	$-0.284271\pi$
$199$	17.6907			1.25406			0.627029	+	0.778996i	$0.284271\pi$
$200$	−0.766520	−	2.35911i	−0.0542012	−	0.166814i
$201$	1.59635	+	1.15981i	0.112598	+	0.0818069i
$202$	−2.24270	+	1.62941i	−0.157796	+	0.114645i
$203$	−0.156171	+	0.480644i	−0.0109610	+	0.0337346i
$204$	−0.386730	+	1.19023i	−0.0270765	+	0.0833329i
$205$	−6.10927	+	4.43864i	−0.426690	+	0.310008i
$206$	−4.30727	−	3.12941i	−0.300102	−	0.218037i
$207$	5.86916	+	18.0634i	0.407935	+	1.25549i
$208$	3.27504			0.227083
$209$		0			0
$210$	0.217636			0.0150183
$211$	−5.67600	−	17.4689i	−0.390752	−	1.20261i	−0.932221	−	0.361890i	$-0.882131\pi$
$211$	−5.67600	−	17.4689i	−0.390752	−	1.20261i	0.541468	−	0.840721i	$-0.317869\pi$
$212$	−0.0889409	−	0.0646193i	−0.00610849	−	0.00443808i
$213$	−7.71984	+	5.60879i	−0.528954	+	0.384308i
$214$	4.03431	−	12.4163i	0.275780	−	0.848762i
$215$	−1.05780	+	3.25556i	−0.0721412	+	0.222028i
$216$	−8.41829	+	6.11624i	−0.572792	+	0.416158i
$217$	0.706975	+	0.513647i	0.0479926	+	0.0348687i
$218$	2.94386	+	9.06027i	0.199383	+	0.613639i
$219$	−6.62507			−0.447681
$220$		0			0
$221$	2.85410			0.191988
$222$	4.76721	+	14.6720i	0.319954	+	0.984718i
$223$	−1.56063	−	1.13386i	−0.104507	−	0.0759290i	0.534304	−	0.845292i	$-0.320574\pi$
$223$	−1.56063	−	1.13386i	−0.104507	−	0.0759290i	−0.638812	+	0.769363i	$0.720574\pi$
$224$	0.632556	−	0.459579i	0.0422645	−	0.0307069i
$225$	−0.740256	+	2.27827i	−0.0493504	+	0.151885i
$226$	−10.5492	+	32.4670i	−0.701721	+	2.15968i
$227$	23.7743	−	17.2730i	1.57796	−	1.14645i	0.658966	−	0.752173i	$-0.270994\pi$
$227$	23.7743	−	17.2730i	1.57796	−	1.14645i	0.918991	−	0.394279i	$-0.129006\pi$
$228$	6.15770	+	4.47383i	0.407804	+	0.296287i
$229$	−6.06659	−	18.6710i	−0.400891	−	1.23382i	−0.924278	−	0.381721i	$-0.875332\pi$
$229$	−6.06659	−	18.6710i	−0.400891	−	1.23382i	0.523386	−	0.852095i	$-0.324668\pi$
$230$	17.9027			1.18047
$231$		0			0
$232$	−10.1121			−0.663892
$233$	−1.56617	−	4.82018i	−0.102603	−	0.315781i	0.886557	−	0.462619i	$-0.153090\pi$
$233$	−1.56617	−	4.82018i	−0.102603	−	0.315781i	−0.989160	+	0.146838i	$0.953090\pi$
$234$	24.0422	+	17.4677i	1.57169	+	1.14190i
$235$	−0.369254	+	0.268279i	−0.0240875	+	0.0175006i
$236$	−5.24219	+	16.1338i	−0.341238	+	1.05022i
$237$	−1.50730	+	4.63898i	−0.0979094	+	0.301334i
$238$	0.117645	−	0.0854741i	0.00762579	−	0.00554046i
$239$	18.2054	+	13.2270i	1.17761	+	0.855582i	0.991900	−	0.127023i	$-0.0405421\pi$
$239$	18.2054	+	13.2270i	1.17761	+	0.855582i	0.185708	+	0.982605i	$0.440542\pi$
$240$	−0.143218	−	0.440780i	−0.00924468	−	0.0284522i
$241$	27.6924			1.78382			0.891911	−	0.452212i	$-0.149365\pi$
$241$	27.6924			1.78382			0.891911	+	0.452212i	$0.149365\pi$
$242$		0			0
$243$	15.6365			1.00308
$244$	−7.36224	−	22.6586i	−0.471319	−	1.45057i
$245$	5.65069	+	4.10546i	0.361009	+	0.262288i
$246$	10.7252	−	7.79229i	0.683812	−	0.496818i
$247$	5.36399	−	16.5086i	0.341302	−	1.05042i
$248$	−5.40323	+	16.6294i	−0.343105	+	1.05597i
$249$	0.394010	−	0.286265i	0.0249694	−	0.0181413i
$250$	1.82676	+	1.32722i	0.115534	+	0.0839406i
$251$	−1.35019	−	4.15547i	−0.0852234	−	0.262291i	0.899359	−	0.437210i	$-0.144033\pi$
$251$	−1.35019	−	4.15547i	−0.0852234	−	0.262291i	−0.984583	+	0.174920i	$0.944033\pi$
$252$	0.920183			0.0579661
$253$		0			0
$254$	−24.1829			−1.51737
$255$	−0.124810	−	0.384126i	−0.00781591	−	0.0240549i
$256$	9.66819	+	7.02435i	0.604262	+	0.439022i
$257$	−14.6132	+	10.6171i	−0.911547	+	0.662278i	−0.941406	−	0.337276i	$-0.890494\pi$
$257$	−14.6132	+	10.6171i	−0.911547	+	0.662278i	0.0298583	+	0.999554i	$0.490494\pi$
$258$	1.85702	−	5.71533i	0.115613	−	0.355821i
$259$	0.336641	−	1.03607i	0.0209178	−	0.0643785i
$260$	13.7724	−	10.0062i	0.854127	−	0.620560i
$261$	7.90055	+	5.74008i	0.489032	+	0.355302i
$262$	4.57740	+	14.0878i	0.282793	+	0.870347i
$263$	−13.4340			−0.828377			−0.414188	−	0.910191i	$-0.635935\pi$
$263$	−13.4340			−0.828377			−0.414188	+	0.910191i	$0.635935\pi$
$264$		0			0
$265$	0.0354802			0.00217953
$266$	−0.273296	−	0.841120i	−0.0167569	−	0.0515724i
$267$	6.40648	+	4.65458i	0.392070	+	0.284856i
$268$	6.36200	−	4.62226i	0.388621	−	0.282350i
$269$	−1.31579	+	4.04959i	−0.0802253	+	0.246908i	−0.983123	−	0.182948i	$-0.941436\pi$
$269$	−1.31579	+	4.04959i	−0.0802253	+	0.246908i	0.902897	+	0.429857i	$0.141436\pi$
$270$	2.92705	−	9.00854i	0.178135	−	0.548242i
$271$	10.2348	−	7.43600i	0.621718	−	0.451705i	−0.231803	−	0.972763i	$-0.574463\pi$
$271$	10.2348	−	7.43600i	0.621718	−	0.451705i	0.853521	+	0.521058i	$0.174463\pi$
$272$	−0.250528	−	0.182020i	−0.0151905	−	0.0110366i
$273$	0.163638	+	0.503626i	0.00990383	+	0.0304809i
$274$	−18.9113			−1.14248
$275$		0			0
$276$	−19.1005			−1.14971
$277$	9.88149	+	30.4121i	0.593721	+	1.82729i	0.560993	+	0.827821i	$0.310420\pi$
$277$	9.88149	+	30.4121i	0.593721	+	1.82729i	0.0327282	+	0.999464i	$0.489580\pi$
$278$	29.2417	+	21.2453i	1.75380	+	1.27421i
$279$	13.6611	−	9.92539i	0.817870	−	0.594218i
$280$	0.0950256	−	0.292459i	0.00567886	−	0.0174777i
$281$	8.92530	−	27.4693i	0.532439	−	1.63868i	−0.216680	−	0.976243i	$-0.569523\pi$
$281$	8.92530	−	27.4693i	0.532439	−	1.63868i	0.749119	−	0.662436i	$-0.230477\pi$
$282$	0.648246	−	0.470978i	0.0386025	−	0.0280463i
$283$	−3.92558	−	2.85210i	−0.233352	−	0.169540i	0.464965	−	0.885329i	$-0.346067\pi$
$283$	−3.92558	−	2.85210i	−0.233352	−	0.169540i	−0.698316	+	0.715789i	$0.746067\pi$
$284$	11.7517	+	36.1679i	0.697333	+	2.14617i
$285$	−2.45642			−0.145506
$286$		0			0
$287$	−0.936157			−0.0552596
$288$	−4.66881	−	14.3691i	−0.275113	−	0.846709i
$289$	13.5350	+	9.83372i	0.796174	+	0.578454i
$290$	7.44699	−	5.41056i	0.437302	−	0.317719i
$291$	−0.440844	+	1.35678i	−0.0258427	+	0.0795357i
$292$	−8.15905	+	25.1110i	−0.477472	+	1.46951i
$293$	3.24221	−	2.35561i	0.189412	−	0.137616i	−0.489038	−	0.872263i	$-0.662652\pi$
$293$	3.24221	−	2.35561i	0.189412	−	0.137616i	0.678450	+	0.734647i	$0.262652\pi$
$294$	−9.92010	−	7.20737i	−0.578552	−	0.420342i
$295$	−1.69182	−	5.20690i	−0.0985017	−	0.303157i
$296$	21.7976			1.26696
$297$		0			0
$298$	−31.3577			−1.81651
$299$	13.4608	+	41.4280i	0.778457	+	2.39584i
$300$	−1.94898	−	1.41602i	−0.112524	−	0.0817537i
$301$	−0.343316	+	0.249434i	−0.0197884	+	0.0143771i
$302$	5.75625	−	17.7159i	0.331235	−	1.01944i
$303$	−0.294960	+	0.907794i	−0.0169450	+	0.0521514i
$304$	−1.52368	+	1.10702i	−0.0873888	+	0.0634917i
$305$	6.22053	+	4.51948i	0.356186	+	0.258785i
$306$	−0.868322	−	2.67242i	−0.0496387	−	0.152772i
$307$	−3.68515			−0.210323			−0.105161	−	0.994455i	$-0.533536\pi$
$307$	−3.68515			−0.210323			−0.105161	+	0.994455i	$0.533536\pi$
$308$		0			0
$309$	−1.83321			−0.104288
$310$	−4.91853	−	15.1377i	−0.279354	−	0.859762i
$311$	8.06391	+	5.85877i	0.457262	+	0.332220i	0.792456	−	0.609929i	$-0.208802\pi$
$311$	8.06391	+	5.85877i	0.457262	+	0.332220i	−0.335194	+	0.942149i	$0.608802\pi$
$312$	−8.57204	+	6.22795i	−0.485296	+	0.352588i
$313$	5.82844	−	17.9381i	0.329443	−	1.01392i	−0.639952	−	0.768415i	$-0.721046\pi$
$313$	5.82844	−	17.9381i	0.329443	−	1.01392i	0.969395	−	0.245506i	$-0.0789541\pi$
$314$	−7.17652	+	22.0871i	−0.404995	+	1.24645i
$315$	−0.240256	+	0.174556i	−0.0135369	+	0.00983512i
$316$	15.7268	+	11.4262i	0.884701	+	0.642773i
$317$	1.20345	+	3.70385i	0.0675928	+	0.208029i	0.979148	−	0.203149i	$-0.0651175\pi$
$317$	1.20345	+	3.70385i	0.0675928	+	0.208029i	−0.911555	+	0.411178i	$0.865118\pi$
$318$	−0.0622875			−0.00349291
$319$		0			0
$320$	−13.0490			−0.729463
$321$	−1.38911	−	4.27525i	−0.0775327	−	0.238621i
$322$	1.79553	+	1.30453i	0.100061	+	0.0726984i
$323$	−1.32784	+	0.964730i	−0.0738829	+	0.0536790i
$324$	3.75826	−	11.5667i	0.208792	−	0.642596i
$325$	−1.69776	+	5.22517i	−0.0941747	+	0.289840i
$326$	−3.81516	+	2.77188i	−0.211302	+	0.153520i
$327$	2.65375	+	1.92807i	0.146753	+	0.106622i
$328$	−5.78836	−	17.8147i	−0.319609	−	0.983654i
$329$	−0.0565828			−0.00311951
$330$		0			0
$331$	7.97626			0.438415			0.219207	−	0.975678i	$-0.429653\pi$
$331$	7.97626			0.438415			0.219207	+	0.975678i	$0.429653\pi$
$332$	−0.599789	−	1.84596i	−0.0329177	−	0.101310i
$333$	−17.0304	−	12.3733i	−0.933259	−	0.678053i
$334$	−30.3755	+	22.0691i	−1.66207	+	1.20757i
$335$	−0.784260	+	2.41371i	−0.0428487	+	0.131875i
$336$	0.0177547	−	0.0546435i	0.000968600	−	0.00298105i
$337$	−11.1097	+	8.07164i	−0.605182	+	0.439690i	−0.847714	−	0.530453i	$-0.822022\pi$
$337$	−11.1097	+	8.07164i	−0.605182	+	0.439690i	0.242533	+	0.970143i	$0.422022\pi$
$338$	31.3923	+	22.8079i	1.70752	+	1.24058i
$339$	3.63235	+	11.1792i	0.197282	+	0.607171i
$340$	−1.60966			−0.0872960
$341$		0			0
$342$	−17.0897			−0.924105
$343$	0.535735	+	1.64882i	0.0289270	+	0.0890281i
$344$	−6.86940	−	4.99091i	−0.370373	−	0.269092i
$345$	4.98705	−	3.62330i	0.268494	−	0.195072i
$346$	−13.4838	+	41.4988i	−0.724893	+	2.23099i
$347$	−0.0503533	+	0.154972i	−0.00270311	+	0.00831931i	−0.952399	−	0.304854i	$-0.901392\pi$
$347$	−0.0503533	+	0.154972i	−0.00270311	+	0.00831931i	0.949696	+	0.313174i	$0.101392\pi$
$348$	−7.94524	+	5.77256i	−0.425910	+	0.309441i
$349$	−2.21788	−	1.61138i	−0.118720	−	0.0862553i	0.526841	−	0.849964i	$-0.323376\pi$
$349$	−2.21788	−	1.61138i	−0.118720	−	0.0862553i	−0.645561	+	0.763709i	$0.723376\pi$
$350$	0.0865012	+	0.266223i	0.00462369	+	0.0142302i
$351$	23.0472			1.23017
$352$		0			0
$353$	−5.13584			−0.273353			−0.136677	−	0.990616i	$-0.543642\pi$
$353$	−5.13584			−0.273353			−0.136677	+	0.990616i	$0.543642\pi$
$354$	2.97009	+	9.14100i	0.157859	+	0.485839i
$355$	−9.92925	−	7.21402i	−0.526990	−	0.382881i
$356$	25.5321	−	18.5501i	1.35320	−	0.983155i
$357$	0.0154727	−	0.0476201i	0.000818903	−	0.00252032i
$358$	2.02418	−	6.22979i	0.106981	−	0.329255i
$359$	−12.2777	+	8.92024i	−0.647990	+	0.470792i	−0.862586	−	0.505911i	$-0.831157\pi$
$359$	−12.2777	+	8.92024i	−0.647990	+	0.470792i	0.214596	+	0.976703i	$0.431157\pi$
$360$	−4.80727	−	3.49269i	−0.253365	−	0.184081i
$361$	−2.78668	−	8.57651i	−0.146667	−	0.451395i
$362$	−22.6185			−1.18880
$363$		0			0
$364$	2.11042			0.110616
$365$	−2.63319	−	8.10411i	−0.137827	−	0.424189i
$366$	−10.9205	−	7.93420i	−0.570823	−	0.414727i
$367$	−16.3133	+	11.8523i	−0.851547	+	0.618685i	−0.925572	−	0.378572i	$-0.876415\pi$
$367$	−16.3133	+	11.8523i	−0.851547	+	0.618685i	0.0740255	+	0.997256i	$0.476415\pi$
$368$	1.46050	−	4.49494i	0.0761336	−	0.234315i
$369$	−5.59002	+	17.2043i	−0.291005	+	0.895621i
$370$	−16.0527	+	11.6630i	−0.834540	+	0.606329i
$371$	0.00355845	+	0.00258536i	0.000184745	+	0.000134225i
$372$	5.24761	+	16.1505i	0.272076	+	0.837363i
$373$	−11.2539			−0.582707			−0.291354	−	0.956615i	$-0.594106\pi$
$373$	−11.2539			−0.582707			−0.291354	+	0.956615i	$0.594106\pi$
$374$		0			0
$375$	0.777484			0.0401491
$376$	−0.349857	−	1.07675i	−0.0180425	−	0.0555292i
$377$	18.1197	+	13.1647i	0.933213	+	0.678019i
$378$	0.949997	−	0.690213i	0.0488626	−	0.0355008i
$379$	−6.47458	+	19.9267i	−0.332577	+	1.02357i	0.635327	+	0.772243i	$0.280865\pi$
$379$	−6.47458	+	19.9267i	−0.332577	+	1.02357i	−0.967903	+	0.251322i	$0.919135\pi$
$380$	−3.02518	+	9.31056i	−0.155189	+	0.477622i
$381$	−6.73650	+	4.89435i	−0.345121	+	0.250745i
$382$	−24.7790	−	18.0030i	−1.26780	−	0.921113i
$383$	5.20102	+	16.0071i	0.265759	+	0.817924i	0.991517	+	0.129973i	$0.0414892\pi$
$383$	5.20102	+	16.0071i	0.265759	+	0.817924i	−0.725758	+	0.687950i	$0.758511\pi$
$384$	13.1011			0.668562
$385$		0			0
$386$	30.9176			1.57366
$387$	2.53397	+	7.79877i	0.128809	+	0.396434i
$388$	4.59966	+	3.34185i	0.233513	+	0.169657i
$389$	−12.7525	+	9.26524i	−0.646578	+	0.469766i	−0.862104	−	0.506732i	$-0.830853\pi$
$389$	−12.7525	+	9.26524i	−0.646578	+	0.469766i	0.215526	+	0.976498i	$0.430853\pi$
$390$	2.98051	−	9.17307i	0.150924	−	0.464497i
$391$	1.27278	−	3.91721i	0.0643671	−	0.198102i
$392$	−14.0166	+	10.1836i	−0.707945	+	0.514352i
$393$	4.12632	+	2.99795i	0.208145	+	0.151226i
$394$	1.81393	+	5.58270i	0.0913844	+	0.281252i
$395$	−6.27371			−0.315665
$396$		0			0
$397$	6.85466			0.344025			0.172013	−	0.985095i	$-0.444973\pi$
$397$	6.85466			0.344025			0.172013	+	0.985095i	$0.444973\pi$
$398$	−12.3438	−	37.9904i	−0.618740	−	1.90429i
$399$	−0.246364	−	0.178994i	−0.0123336	−	0.00896091i
$400$	0.482260	−	0.350382i	0.0241130	−	0.0175191i
$401$	−0.0436009	+	0.134190i	−0.00217732	+	0.00670111i	−0.952139	−	0.305665i	$-0.901121\pi$
$401$	−0.0436009	+	0.134190i	−0.00217732	+	0.00670111i	0.949962	+	0.312366i	$0.101121\pi$
$402$	1.37681	−	4.23740i	0.0686692	−	0.211342i
$403$	31.3315	−	22.7637i	1.56073	−	1.13394i
$404$	3.07755	+	2.23597i	0.153114	+	0.111244i
$405$	1.21291	+	3.73296i	0.0602700	+	0.185492i
$406$	1.14114			0.0566340
$407$		0			0
$408$	1.00186			0.0495996
$409$	−8.88382	−	27.3416i	−0.439277	−	1.35195i	−0.888640	−	0.458605i	$-0.848349\pi$
$409$	−8.88382	−	27.3416i	−0.439277	−	1.35195i	0.449364	−	0.893349i	$-0.351651\pi$
$410$	13.7947	+	10.0224i	0.681272	+	0.494973i
$411$	−5.26803	+	3.82745i	−0.259853	+	0.188794i
$412$	−2.25768	+	6.94841i	−0.111228	+	0.342324i
$413$	0.209735	−	0.645499i	0.0103204	−	0.0317629i
$414$	34.6956	−	25.2078i	1.70520	−	1.23890i
$415$	0.506776	+	0.368194i	0.0248767	+	0.0180740i
$416$	−10.7078	−	32.9553i	−0.524994	−	1.61576i
$417$	12.4455			0.609459
$418$		0			0
$419$	−11.0837			−0.541472			−0.270736	−	0.962654i	$-0.587267\pi$
$419$	−11.0837			−0.541472			−0.270736	+	0.962654i	$0.587267\pi$
$420$	−0.0922887	−	0.284036i	−0.00450323	−	0.0138595i
$421$	2.75336	+	2.00043i	0.134190	+	0.0974950i	0.652856	−	0.757482i	$-0.273571\pi$
$421$	2.75336	+	2.00043i	0.134190	+	0.0974950i	−0.518665	+	0.854977i	$0.673571\pi$
$422$	−33.5538	+	24.3782i	−1.63337	+	1.18671i
$423$	−0.337870	+	1.03986i	−0.0164278	+	0.0505595i
$424$	−0.0271963	+	0.0837016i	−0.00132077	+	0.00406491i
$425$	0.420275	−	0.305348i	0.0203863	−	0.0148115i
$426$	17.4314	+	12.6646i	0.844552	+	0.613603i
$427$	0.294557	+	0.906552i	0.0142546	+	0.0438711i
$428$	−17.9152			−0.865963
$429$		0			0
$430$	7.72935			0.372743
$431$	4.22510	+	13.0035i	0.203516	+	0.626358i	0.999771	+	0.0213970i	$0.00681138\pi$
$431$	4.22510	+	13.0035i	0.203516	+	0.626358i	−0.796255	+	0.604961i	$0.793189\pi$
$432$	−2.02305	−	1.46983i	−0.0973339	−	0.0707172i
$433$	12.4949	−	9.07811i	0.600469	−	0.436266i	−0.245577	−	0.969377i	$-0.578977\pi$
$433$	12.4949	−	9.07811i	0.600469	−	0.436266i	0.846045	+	0.533111i	$0.178977\pi$
$434$	0.609750	−	1.87662i	0.0292689	−	0.0900805i
$435$	0.979431	−	3.01438i	0.0469601	−	0.144528i
$436$	10.5761	−	7.68401i	0.506505	−	0.367997i
$437$	−20.2658	−	14.7240i	−0.969444	−	0.704342i
$438$	4.62271	+	14.2272i	0.220881	+	0.679803i
$439$	−9.87042			−0.471089			−0.235545	−	0.971864i	$-0.575687\pi$
$439$	−9.87042			−0.471089			−0.235545	+	0.971864i	$0.575687\pi$
$440$		0			0
$441$	16.7318			0.796753
$442$	−1.99148	−	6.12913i	−0.0947248	−	0.291533i
$443$	−25.3222	−	18.3977i	−1.20310	−	0.874100i	−0.208509	−	0.978020i	$-0.566861\pi$
$443$	−25.3222	−	18.3977i	−1.20310	−	0.874100i	−0.994586	+	0.103921i	$0.966861\pi$
$444$	17.1267	−	12.4433i	0.812799	−	0.590533i
$445$	−3.14741	+	9.68672i	−0.149201	+	0.459195i
$446$	−1.34600	+	4.14258i	−0.0637352	+	0.196157i
$447$	−8.73516	+	6.34647i	−0.413159	+	0.300177i
$448$	−1.30874	−	0.950854i	−0.0618321	−	0.0449236i
$449$	−3.93292	−	12.1043i	−0.185606	−	0.571236i	0.814352	−	0.580371i	$-0.197092\pi$
$449$	−3.93292	−	12.1043i	−0.185606	−	0.571236i	−0.999958	+	0.00913449i	$0.997092\pi$
$450$	5.40907			0.254986
$451$		0			0
$452$	46.8459			2.20344
$453$	−1.98202	−	6.10003i	−0.0931234	−	0.286604i
$454$	−53.6823	−	39.0025i	−2.51943	−	1.83048i
$455$	−0.551021	+	0.400340i	−0.0258323	+	0.0187682i
$456$	1.88290	−	5.79496i	0.0881748	−	0.271374i
$457$	1.33235	−	4.10054i	0.0623245	−	0.191815i	−0.915046	−	0.403349i	$-0.867846\pi$
$457$	1.33235	−	4.10054i	0.0623245	−	0.191815i	0.977371	+	0.211534i	$0.0678460\pi$
$458$	−35.8627	+	26.0558i	−1.67575	+	1.21751i
$459$	−1.76302	−	1.28091i	−0.0822909	−	0.0597878i
$460$	−7.59162	−	23.3646i	−0.353961	−	1.08938i
$461$	17.7315			0.825837			0.412918	−	0.910768i	$-0.364509\pi$
$461$	17.7315			0.825837			0.412918	+	0.910768i	$0.364509\pi$
$462$		0			0
$463$	3.43092			0.159448			0.0797242	−	0.996817i	$-0.474596\pi$
$463$	3.43092			0.159448			0.0797242	+	0.996817i	$0.474596\pi$
$464$	−0.750941	−	2.31116i	−0.0348616	−	0.107293i
$465$	−4.43383	−	3.22136i	−0.205614	−	0.149387i
$466$	−9.25845	+	6.72666i	−0.428889	+	0.311606i
$467$	−4.83245	+	14.8728i	−0.223619	+	0.688229i	0.774810	+	0.632195i	$0.217846\pi$
$467$	−4.83245	+	14.8728i	−0.223619	+	0.688229i	−0.998429	+	0.0560346i	$0.982154\pi$
$468$	12.6018	−	38.7844i	0.582520	−	1.79281i
$469$	−0.254538	+	0.184933i	−0.0117535	+	0.00853939i
$470$	0.833774	+	0.605772i	0.0384591	+	0.0279422i
$471$	2.47106	+	7.60513i	0.113860	+	0.350426i
$472$	13.5804			0.625090
$473$		0			0
$474$	11.0138			0.505883
$475$	−0.976324	−	3.00482i	−0.0447968	−	0.137870i
$476$	−0.161439	−	0.117292i	−0.00739954	−	0.00537608i
$477$	0.0687611	−	0.0499579i	0.00314836	−	0.00228742i
$478$	15.7017	−	48.3250i	0.718180	−	2.21033i
$479$	11.8994	−	36.6227i	0.543699	−	1.67333i	−0.180363	−	0.983600i	$-0.557727\pi$
$479$	11.8994	−	36.6227i	0.543699	−	1.67333i	0.724062	−	0.689735i	$-0.242273\pi$
$480$	−3.96711	+	2.88227i	−0.181073	+	0.131557i
$481$	−39.0588	−	28.3779i	−1.78093	−	1.29392i
$482$	−19.3226	−	59.4688i	−0.880120	−	2.70873i
$483$	0.764192			0.0347720
$484$		0			0
$485$	−1.83489			−0.0833182
$486$	−10.9105	−	33.5790i	−0.494910	−	1.52318i
$487$	7.29777	+	5.30214i	0.330694	+	0.240263i	0.740725	−	0.671808i	$-0.234482\pi$
$487$	7.29777	+	5.30214i	0.330694	+	0.240263i	−0.410031	+	0.912071i	$0.634482\pi$
$488$	−15.4301	+	11.2106i	−0.698487	+	0.507481i
$489$	−0.501772	+	1.54430i	−0.0226909	+	0.0698354i
$490$	4.87359	−	14.9994i	0.220166	−	0.677602i
$491$	−3.82721	+	2.78063i	−0.172719	+	0.125488i	−0.670787	−	0.741650i	$-0.734043\pi$
$491$	−3.82721	+	2.78063i	−0.172719	+	0.125488i	0.498067	+	0.867139i	$0.334043\pi$
$492$	−14.7177	−	10.6930i	−0.663523	−	0.482078i
$493$	−0.654422	−	2.01410i	−0.0294737	−	0.0907107i
$494$	−39.1948			−1.76346
$495$		0			0
$496$	−4.20197			−0.188674
$497$	−0.470173	−	1.44704i	−0.0210902	−	0.0649088i
$498$	−0.889674	−	0.646386i	−0.0398672	−	0.0289652i
$499$	−0.926422	+	0.673085i	−0.0414723	+	0.0301314i	−0.608328	−	0.793685i	$-0.708160\pi$
$499$	−0.926422	+	0.673085i	−0.0414723	+	0.0301314i	0.566856	+	0.823817i	$0.308160\pi$
$500$	0.957503	−	2.94689i	0.0428208	−	0.131789i
$501$	−3.99500	+	12.2953i	−0.178483	+	0.549315i
$502$	−7.98168	+	5.79903i	−0.356240	+	0.258823i
$503$	13.4634	+	9.78171i	0.600302	+	0.436145i	0.845986	−	0.533205i	$-0.179013\pi$
$503$	13.4634	+	9.78171i	0.600302	+	0.436145i	−0.245684	+	0.969350i	$0.579013\pi$
$504$	−0.227635	−	0.700590i	−0.0101397	−	0.0312068i
$505$	−1.22769			−0.0546316
$506$		0			0
$507$	13.3609			0.593377
$508$	10.2547	+	31.5609i	0.454981	+	1.40029i
$509$	23.9289	+	17.3854i	1.06063	+	0.770594i	0.974205	−	0.225664i	$-0.0724552\pi$
$509$	23.9289	+	17.3854i	1.06063	+	0.770594i	0.0864265	+	0.996258i	$0.472455\pi$
$510$	−0.737816	+	0.536055i	−0.0326710	+	0.0237369i
$511$	0.326436	−	1.00467i	0.0144407	−	0.0444439i
$512$	−2.07565	+	6.38820i	−0.0917318	+	0.282321i
$513$	−10.7224	+	7.79031i	−0.473408	+	0.343951i
$514$	32.9966	+	23.9734i	1.45542	+	1.05742i
$515$	−0.728624	−	2.24247i	−0.0321070	−	0.0988152i
$516$	−8.24650			−0.363032
$517$		0			0
$518$	−2.45984			−0.108079
$519$	4.64281	+	14.2891i	0.203797	+	0.627221i
$520$	−11.0254	−	8.01039i	−0.483494	−	0.351279i
$521$	5.35218	−	3.88859i	0.234483	−	0.170362i	−0.464339	−	0.885658i	$-0.653708\pi$
$521$	5.35218	−	3.88859i	0.234483	−	0.170362i	0.698822	+	0.715296i	$0.253708\pi$
$522$	6.81404	−	20.9715i	0.298243	−	0.917896i
$523$	−11.2091	+	34.4980i	−0.490138	+	1.50849i	0.334260	+	0.942481i	$0.391514\pi$
$523$	−11.2091	+	34.4980i	−0.490138	+	1.50849i	−0.824399	+	0.566010i	$0.808486\pi$
$524$	16.4448	−	11.9479i	0.718395	−	0.521945i
$525$	0.0779769	+	0.0566535i	0.00340319	+	0.00247256i
$526$	9.37371	+	28.8493i	0.408713	+	1.25789i
$527$	−3.66189			−0.159514
$528$		0			0
$529$	39.8620			1.73313
$530$	−0.0247566	−	0.0761931i	−0.00107536	−	0.00330962i
$531$	−10.6103	−	7.70887i	−0.460450	−	0.334536i
$532$	−0.981847	+	0.713354i	−0.0425685	+	0.0309278i
$533$	−12.8206	+	39.4577i	−0.555321	+	1.70910i
$534$	5.52545	−	17.0056i	0.239110	−	0.735903i
$535$	4.67758	−	3.39846i	0.202229	−	0.146928i
$536$	−5.09304	−	3.70031i	−0.219986	−	0.159829i
$537$	−0.696976	−	2.14507i	−0.0300767	−	0.0925666i
$538$	9.61454			0.414512
$539$		0			0
$540$	−12.9982			−0.559353
$541$	2.75148	+	8.46820i	0.118296	+	0.364076i	0.992620	−	0.121265i	$-0.0386952\pi$
$541$	2.75148	+	8.46820i	0.118296	+	0.364076i	−0.874325	+	0.485342i	$0.838695\pi$
$542$	−23.1101	−	16.7904i	−0.992663	−	0.721212i
$543$	−6.30070	+	4.57773i	−0.270389	+	0.196449i
$544$	−1.01247	+	3.11607i	−0.0434094	+	0.133600i
$545$	−1.30375	+	4.01253i	−0.0558465	+	0.171878i
$546$	0.967348	−	0.702820i	0.0413987	−	0.0300779i
$547$	13.8026	+	10.0282i	0.590158	+	0.428775i	0.842372	−	0.538897i	$-0.181159\pi$
$547$	13.8026	+	10.0282i	0.590158	+	0.428775i	−0.252214	+	0.967671i	$0.581159\pi$
$548$	8.01935	+	24.6810i	0.342570	+	1.05432i
$549$	18.4191			0.786109
$550$		0			0
$551$	−12.8799			−0.548701
$552$	4.72508	+	14.5423i	0.201113	+	0.618962i
$553$	−0.629215	−	0.457151i	−0.0267569	−	0.0194400i
$554$	58.4145	−	42.4406i	2.48179	−	1.80313i
$555$	−2.11126	+	6.49778i	−0.0896179	+	0.275816i
$556$	15.3272	−	47.1721i	0.650016	−	2.00054i
$557$	−23.5380	+	17.1013i	−0.997335	+	0.724607i	−0.961515	−	0.274752i	$-0.911404\pi$
$557$	−23.5380	+	17.1013i	−0.997335	+	0.724607i	−0.0358202	+	0.999358i	$0.511404\pi$
$558$	−30.8468	−	22.4115i	−1.30585	−	0.948754i
$559$	5.81161	+	17.8863i	0.245805	+	0.756509i
$560$	0.0738993			0.00312282
$561$		0			0
$562$	−65.2174			−2.75103
$563$	3.41751	+	10.5180i	0.144031	+	0.443282i	0.996885	−	0.0788673i	$-0.0251304\pi$
$563$	3.41751	+	10.5180i	0.144031	+	0.443282i	−0.852854	+	0.522149i	$0.825130\pi$
$564$	−0.889558	−	0.646302i	−0.0374572	−	0.0272142i
$565$	−12.2313	+	8.88652i	−0.514573	+	0.373859i
$566$	−3.38573	+	10.4202i	−0.142313	+	0.437993i
$567$	−0.150365	+	0.462775i	−0.00631472	+	0.0194347i
$568$	24.6296	−	17.8945i	1.03344	−	0.750835i
$569$	−2.52382	−	1.83367i	−0.105804	−	0.0768713i	0.533625	−	0.845721i	$-0.320829\pi$
$569$	−2.52382	−	1.83367i	−0.105804	−	0.0768713i	−0.639429	+	0.768850i	$0.720829\pi$
$570$	1.71399	+	5.27512i	0.0717912	+	0.220951i
$571$	−9.68683			−0.405381			−0.202691	−	0.979243i	$-0.564969\pi$
$571$	−9.68683			−0.405381			−0.202691	+	0.979243i	$0.564969\pi$
$572$		0			0
$573$	−10.5462			−0.440572
$574$	0.653212	+	2.01038i	0.0272645	+	0.0839116i
$575$	6.41434	+	4.66029i	0.267496	+	0.194348i
$576$	−25.2892	+	18.3737i	−1.05372	+	0.765571i
$577$	0.934922	−	2.87739i	0.0389213	−	0.119788i	−0.929708	−	0.368297i	$-0.879941\pi$
$577$	0.934922	−	2.87739i	0.0389213	−	0.119788i	0.968629	+	0.248510i	$0.0799408\pi$
$578$	11.6736	−	35.9277i	0.485558	−	1.49439i
$579$	8.61255	−	6.25738i	0.357925	−	0.260048i
$580$	−10.2192	−	7.42466i	−0.424328	−	0.308292i
$581$	0.0239970	+	0.0738553i	0.000995565	+	0.00306403i
$582$	3.22126			0.133525
$583$		0			0
$584$	21.1369			0.874649
$585$	4.06701	+	12.5170i	0.168150	+	0.517513i
$586$	−7.32091	−	5.31895i	−0.302424	−	0.219724i
$587$	35.6212	−	25.8803i	1.47024	−	1.06820i	0.489702	−	0.871890i	$-0.337106\pi$
$587$	35.6212	−	25.8803i	1.47024	−	1.06820i	0.980543	−	0.196306i	$-0.0628945\pi$
$588$	−5.19966	+	16.0029i	−0.214431	+	0.659949i
$589$	−6.88214	+	21.1810i	−0.283574	+	0.872750i
$590$	−10.0012	+	7.26632i	−0.411744	+	0.299150i
$591$	1.63517	+	1.18802i	0.0672621	+	0.0488688i
$592$	1.61873	+	4.98192i	0.0665292	+	0.204756i
$593$	6.60880			0.271391			0.135696	−	0.990751i	$-0.456673\pi$
$593$	6.60880			0.271391			0.135696	+	0.990751i	$0.456673\pi$
$594$		0			0
$595$	0.0644010			0.00264018
$596$	13.2973	+	40.9247i	0.544677	+	1.67634i
$597$	−11.1274	−	8.08453i	−0.455414	−	0.330878i
$598$	79.5736	−	57.8136i	3.25400	−	2.36417i
$599$	−8.71690	+	26.8279i	−0.356163	+	1.09616i	0.599169	+	0.800622i	$0.295498\pi$
$599$	−8.71690	+	26.8279i	−0.356163	+	1.09616i	−0.955332	+	0.295534i	$0.904502\pi$
$600$	−0.595957	+	1.83417i	−0.0243299	+	0.0748796i
$601$	3.37956	−	2.45540i	0.137855	−	0.100158i	−0.516720	−	0.856154i	$-0.672847\pi$
$601$	3.37956	−	2.45540i	0.137855	−	0.100158i	0.654576	+	0.755996i	$0.272847\pi$
$602$	0.775207	+	0.563221i	0.0315951	+	0.0229552i
$603$	1.87871	+	5.78207i	0.0765070	+	0.235464i
$604$	−25.5618			−1.04010
$605$		0			0
$606$	2.15528			0.0875524
$607$	−4.22672	−	13.0085i	−0.171557	−	0.527999i	0.827902	−	0.560872i	$-0.189534\pi$
$607$	−4.22672	−	13.0085i	−0.171557	−	0.527999i	−0.999460	+	0.0328735i	$0.989534\pi$
$608$	16.1211	+	11.7126i	0.653796	+	0.475010i
$609$	0.317882	−	0.230955i	0.0128812	−	0.00935876i
$610$	5.36507	−	16.5120i	0.217225	−	0.668550i
$611$	−0.774896	+	2.38488i	−0.0313489	+	0.0964821i
$612$	−3.11954	+	2.26648i	−0.126100	+	0.0916170i
$613$	−26.2215	−	19.0511i	−1.05908	−	0.769465i	−0.0851604	−	0.996367i	$-0.527140\pi$
$613$	−26.2215	−	19.0511i	−1.05908	−	0.769465i	−0.973918	+	0.226902i	$0.927140\pi$
$614$	2.57135	+	7.91380i	0.103771	+	0.319375i
$615$	5.87115			0.236748
$616$		0			0
$617$	−37.0480			−1.49150			−0.745749	−	0.666227i	$-0.767908\pi$
$617$	−37.0480			−1.49150			−0.745749	+	0.666227i	$0.767908\pi$
$618$	1.27914	+	3.93679i	0.0514546	+	0.158361i
$619$	−16.0560	−	11.6654i	−0.645346	−	0.468871i	0.216337	−	0.976319i	$-0.430589\pi$
$619$	−16.0560	−	11.6654i	−0.645346	−	0.468871i	−0.861683	+	0.507448i	$0.830589\pi$
$620$	−17.6703	+	12.8383i	−0.709658	+	0.515597i
$621$	10.2778	−	31.6319i	0.412435	−	1.26934i
$622$	6.95494	−	21.4051i	0.278868	−	0.858266i
$623$	−1.02152	+	0.742174i	−0.0409261	+	0.0297346i
$624$	−2.06000	−	1.49667i	−0.0824659	−	0.0599150i
$625$	0.309017	+	0.951057i	0.0123607	+	0.0380423i
$626$	−42.5886			−1.70218
$627$		0			0
$628$	31.8689			1.27171
$629$	1.41067	+	4.34160i	0.0562471	+	0.173111i
$630$	0.542497	+	0.394147i	0.0216136	+	0.0157032i
$631$	37.9144	−	27.5464i	1.50935	−	1.09661i	0.542884	−	0.839807i	$-0.317332\pi$
$631$	37.9144	−	27.5464i	1.50935	−	1.09661i	0.966465	−	0.256799i	$-0.0826678\pi$
$632$	4.80893	−	14.8003i	0.191289	−	0.588726i
$633$	−4.41300	+	13.5818i	−0.175401	+	0.539829i
$634$	7.11424	−	5.16879i	0.282542	−	0.205279i
$635$	−8.66448	−	6.29511i	−0.343839	−	0.249814i
$636$	0.0264130	+	0.0812909i	0.00104734	+	0.00322339i
$637$	38.3740			1.52043
$638$		0			0
$639$	−29.4007			−1.16308
$640$	5.20712	+	16.0259i	0.205830	+	0.633478i
$641$	12.0438	+	8.75035i	0.475703	+	0.345618i	0.799660	−	0.600454i	$-0.205013\pi$
$641$	12.0438	+	8.75035i	0.475703	+	0.345618i	−0.323957	+	0.946072i	$0.605013\pi$
$642$	−8.21175	+	5.96619i	−0.324092	+	0.235467i
$643$	−10.2176	+	31.4464i	−0.402942	+	1.24013i	0.519660	+	0.854373i	$0.326059\pi$
$643$	−10.2176	+	31.4464i	−0.402942	+	1.24013i	−0.922602	+	0.385754i	$0.873941\pi$
$644$	0.941134	−	2.89651i	0.0370859	−	0.114139i
$645$	2.15313	−	1.56434i	0.0847792	−	0.0615957i
$646$	2.99825	+	2.17836i	0.117965	+	0.0857063i
$647$	−13.5568	−	41.7234i	−0.532971	−	1.64032i	−0.747993	−	0.663707i	$-0.768982\pi$
$647$	−13.5568	−	41.7234i	−0.532971	−	1.64032i	0.215022	−	0.976609i	$-0.431018\pi$
$648$	−9.73616			−0.382473
$649$		0			0
$650$	12.4056			0.486587
$651$	−0.209952	−	0.646166i	−0.00822867	−	0.0253253i
$652$	5.23538	+	3.80372i	0.205033	+	0.148965i
$653$	−27.6105	+	20.0602i	−1.08048	+	0.785016i	−0.977767	−	0.209694i	$-0.932753\pi$
$653$	−27.6105	+	20.0602i	−1.08048	+	0.785016i	−0.102715	+	0.994711i	$0.532753\pi$
$654$	2.28880	−	7.04421i	0.0894993	−	0.275451i
$655$	−2.02720	+	6.23907i	−0.0792091	+	0.243781i
$656$	3.64177	−	2.64590i	0.142187	−	0.103305i
$657$	−16.5142	−	11.9982i	−0.644278	−	0.468096i
$658$	0.0394811	+	0.121510i	0.00153914	+	0.00473697i
$659$	−10.4408			−0.406716			−0.203358	−	0.979104i	$-0.565185\pi$
$659$	−10.4408			−0.406716			−0.203358	+	0.979104i	$0.565185\pi$
$660$		0			0
$661$	−45.6827			−1.77685			−0.888426	−	0.459020i	$-0.848201\pi$
$661$	−45.6827			−1.77685			−0.888426	+	0.459020i	$0.848201\pi$
$662$	−5.56551	−	17.1289i	−0.216310	−	0.665732i
$663$	−1.79522	−	1.30431i	−0.0697207	−	0.0506551i
$664$	−1.25706	+	0.913311i	−0.0487835	+	0.0354433i
$665$	0.121035	−	0.372507i	0.00469353	−	0.0144452i
$666$	−14.6883	+	45.2060i	−0.569161	+	1.75170i
$667$	26.1488	−	18.9982i	1.01249	−	0.735614i
$668$	41.6829	+	30.2844i	1.61276	+	1.17174i
$669$	0.463463	+	1.42639i	0.0179185	+	0.0551475i
$670$	5.73061			0.221393
$671$		0			0
$672$	−0.607902			−0.0234503
$673$	8.99702	+	27.6900i	0.346810	+	1.06737i	0.960608	+	0.277908i	$0.0896409\pi$
$673$	8.99702	+	27.6900i	0.346810	+	1.06737i	−0.613798	+	0.789463i	$0.710359\pi$
$674$	25.0856	+	18.2257i	0.966260	+	0.702029i
$675$	3.39377	−	2.46572i	0.130626	−	0.0949055i
$676$	16.4544	−	50.6416i	0.632863	−	1.94775i
$677$	9.96120	−	30.6574i	0.382840	−	1.17826i	−0.555195	−	0.831720i	$-0.687357\pi$
$677$	9.96120	−	30.6574i	0.382840	−	1.17826i	0.938035	−	0.346540i	$-0.112643\pi$
$678$	21.4726	−	15.6008i	0.824652	−	0.599145i
$679$	−0.184029	−	0.133705i	−0.00706237	−	0.00513111i
$680$	0.398198	+	1.22553i	0.0152702	+	0.0469969i
$681$	−22.8477			−0.875524
$682$		0			0
$683$	−11.0364			−0.422295			−0.211148	−	0.977454i	$-0.567720\pi$
$683$	−11.0364			−0.422295			−0.211148	+	0.977454i	$0.567720\pi$
$684$	7.24688	+	22.3036i	0.277092	+	0.852800i
$685$	−6.77574	−	4.92286i	−0.258888	−	0.188093i
$686$	3.16700	−	2.30096i	0.120917	−	0.0878512i
$687$	−4.71667	+	14.5164i	−0.179952	+	0.553836i
$688$	0.630559	−	1.94066i	0.0240398	−	0.0739870i
$689$	0.157702	−	0.114577i	0.00600797	−	0.00436505i
$690$	−11.2607	−	8.18140i	−0.428689	−	0.311461i
$691$	11.1744	+	34.3912i	0.425093	+	1.30830i	0.902905	+	0.429840i	$0.141430\pi$
$691$	11.1744	+	34.3912i	0.425093	+	1.30830i	−0.477812	+	0.878462i	$0.658570\pi$
$692$	59.8776			2.27620
$693$		0			0
$694$	0.367933			0.0139665
$695$	4.94656	+	15.2240i	0.187634	+	0.577478i
$696$	6.36049	+	4.62117i	0.241094	+	0.175165i
$697$	3.17369	−	2.30582i	0.120212	−	0.0873393i
$698$	−1.91287	+	5.88721i	−0.0724032	+	0.222834i
$699$	−1.21767	+	3.74762i	−0.0460567	+	0.141748i
$700$	0.310765	−	0.225784i	0.0117458	−	0.00853384i
$701$	11.4452	+	8.31544i	0.432280	+	0.314070i	0.782560	−	0.622575i	$-0.213914\pi$
$701$	11.4452	+	8.31544i	0.432280	+	0.314070i	−0.350280	+	0.936645i	$0.613914\pi$
$702$	−16.0814	−	49.4935i	−0.606954	−	1.86801i
$703$	27.7638			1.04713
$704$		0			0
$705$	0.354862			0.0133649
$706$	3.58358	+	11.0291i	0.134870	+	0.415087i
$707$	−0.123130	−	0.0894592i	−0.00463078	−	0.00336446i
$708$	10.6704	−	7.75248i	0.401017	−	0.291356i
$709$	5.30360	−	16.3228i	0.199181	−	0.613016i	−0.800721	−	0.599037i	$-0.795550\pi$
$709$	5.30360	−	16.3228i	0.199181	−	0.613016i	0.999902	−	0.0139788i	$-0.00444974\pi$
$710$	−8.56376	+	26.3565i	−0.321392	+	0.989143i
$711$	−12.1585	+	8.83370i	−0.455981	+	0.331290i
$712$	−20.4395	−	14.8501i	−0.766001	−	0.556532i
$713$	−17.2705	−	53.1533i	−0.646787	−	1.99061i
$714$	−0.113060			−0.00423115
$715$		0			0
$716$	−8.98880			−0.335927
$717$	−5.40650	−	16.6395i	−0.201909	−	0.621413i
$718$	27.7229	+	20.1419i	1.03461	+	0.751688i
$719$	14.8493	−	10.7886i	0.553785	−	0.402348i	−0.275394	−	0.961331i	$-0.588808\pi$
$719$	14.8493	−	10.7886i	0.553785	−	0.402348i	0.829179	+	0.558983i	$0.188808\pi$
$720$	0.441271	−	1.35809i	0.0164452	−	0.0506131i
$721$	0.0903276	−	0.278000i	0.00336397	−	0.0103533i
$722$	−16.4735	+	11.9687i	−0.613079	+	0.445428i
$723$	−17.4184	−	12.6552i	−0.647799	−	0.470653i
$724$	9.59136	+	29.5192i	0.356460	+	1.09707i
$725$	4.07662			0.151402
$726$		0			0
$727$	47.2976			1.75417			0.877085	−	0.480336i	$-0.159485\pi$
$727$	47.2976			1.75417			0.877085	+	0.480336i	$0.159485\pi$
$728$	−0.522077	−	1.60679i	−0.0193494	−	0.0595515i
$729$	−0.308979	−	0.224486i	−0.0114437	−	0.00831430i
$730$	−15.5661	+	11.3094i	−0.576127	+	0.418581i
$731$	0.549513	−	1.69123i	0.0203245	−	0.0625523i
$732$	−5.72402	+	17.6167i	−0.211566	+	0.651133i
$733$	23.2568	−	16.8970i	0.859009	−	0.624107i	−0.0686062	−	0.997644i	$-0.521855\pi$
$733$	23.2568	−	16.8970i	0.859009	−	0.624107i	0.927615	+	0.373537i	$0.121855\pi$
$734$	36.8353	+	26.7624i	1.35962	+	0.987820i
$735$	−1.67810	−	5.16466i	−0.0618976	−	0.190501i
$736$	−50.0056			−1.84323
$737$		0			0
$738$	40.8464			1.50358
$739$	−10.6365	−	32.7358i	−0.391271	−	1.20421i	−0.931828	−	0.362900i	$-0.881787\pi$
$739$	−10.6365	−	32.7358i	−0.391271	−	1.20421i	0.540557	−	0.841307i	$-0.318213\pi$
$740$	22.0284	+	16.0046i	0.809780	+	0.588340i
$741$	−10.9183	+	7.93260i	−0.401093	+	0.291411i
$742$	0.00306908	−	0.00944566i	0.000112670	−	0.000346761i
$743$	−3.76476	+	11.5867i	−0.138116	+	0.425076i	−0.996062	−	0.0886638i	$-0.971740\pi$
$743$	−3.76476	+	11.5867i	−0.138116	+	0.425076i	0.857946	+	0.513740i	$0.171740\pi$
$744$	10.9982	−	7.99063i	0.403212	−	0.292951i
$745$	−11.2352	−	8.16282i	−0.411624	−	0.299063i
$746$	7.85254	+	24.1676i	0.287502	+	0.884840i
$747$	1.50058			0.0549032
$748$		0			0
$749$	0.716771			0.0261902
$750$	−0.542497	−	1.66963i	−0.0198092	−	0.0609664i
$751$	41.7345	+	30.3219i	1.52292	+	1.10646i	0.960019	+	0.279935i	$0.0903130\pi$
$751$	41.7345	+	30.3219i	1.52292	+	1.10646i	0.562896	+	0.826527i	$0.309687\pi$
$752$	0.220114	−	0.159922i	0.00802675	−	0.00583177i
$753$	−1.04975	+	3.23081i	−0.0382552	+	0.117737i
$754$	15.6278	−	48.0976i	0.569133	−	1.75161i
$755$	6.67408	−	4.84901i	0.242895	−	0.176473i
$756$	−1.30364	−	0.947149i	−0.0474129	−	0.0344475i
$757$	3.42444	+	10.5393i	0.124463	+	0.383059i	0.993803	−	0.111156i	$-0.0354555\pi$
$757$	3.42444	+	10.5393i	0.124463	+	0.383059i	−0.869340	+	0.494215i	$0.835455\pi$
$758$	47.3099			1.71837
$759$		0			0
$760$	7.83705			0.284280
$761$	−0.400855	−	1.23370i	−0.0145310	−	0.0447217i	0.943528	−	0.331292i	$-0.107485\pi$
$761$	−0.400855	−	1.23370i	−0.0145310	−	0.0447217i	−0.958059	+	0.286571i	$0.907485\pi$
$762$	15.2110	+	11.0514i	0.551036	+	0.400351i
$763$	−0.423142	+	0.307431i	−0.0153188	+	0.0111297i
$764$	−12.9880	+	39.9730i	−0.469890	+	1.44617i
$765$	0.384554	−	1.18354i	0.0139036	−	0.0427908i
$766$	30.7459	−	22.3382i	1.11089	−	0.807111i
$767$	−24.3346	−	17.6801i	−0.878671	−	0.638392i
$768$	−2.87119	−	8.83660i	−0.103605	−	0.318863i
$769$	24.2693			0.875173			0.437587	−	0.899176i	$-0.355833\pi$
$769$	24.2693			0.875173			0.437587	+	0.899176i	$0.355833\pi$
$770$		0			0
$771$	14.0436			0.505769
$772$	−13.1106	−	40.3503i	−0.471861	−	1.45224i
$773$	21.5005	+	15.6211i	0.773321	+	0.561850i	0.902967	−	0.429710i	$-0.141384\pi$
$773$	21.5005	+	15.6211i	0.773321	+	0.561850i	−0.129646	+	0.991560i	$0.541384\pi$
$774$	14.9796	−	10.8833i	0.538431	−	0.391193i
$775$	2.17827	−	6.70403i	0.0782458	−	0.240816i
$776$	1.40648	−	4.32871i	0.0504898	−	0.155392i
$777$	−0.685225	+	0.497845i	−0.0245823	+	0.0178601i
$778$	28.7951	+	20.9209i	1.03235	+	0.750050i
$779$	−7.37268	−	22.6908i	−0.264154	−	0.812982i
$780$	−13.2356			−0.473910
$781$		0			0
$782$	−9.30022			−0.332575
$783$	−5.28454	−	16.2641i	−0.188854	−	0.581233i
$784$	−3.36841	−	2.44729i	−0.120300	−	0.0874033i
$785$	−8.32082	+	6.04543i	−0.296983	+	0.215771i
$786$	3.55886	−	10.9530i	0.126940	−	0.390682i
$787$	−16.7746	+	51.6268i	−0.597949	+	1.84030i	−0.0584840	+	0.998288i	$0.518627\pi$
$787$	−16.7746	+	51.6268i	−0.597949	+	1.84030i	−0.539465	+	0.842008i	$0.681373\pi$
$788$	6.51674	−	4.73469i	0.232149	−	0.168666i
$789$	8.44997	+	6.13926i	0.300827	+	0.218563i
$790$	4.37754	+	13.4727i	0.155746	+	0.479336i
$791$	−1.87426			−0.0666410
$792$		0			0
$793$	42.2438			1.50012
$794$	−4.78290	−	14.7203i	−0.169739	−	0.522402i
$795$	−0.0223170	−	0.0162142i	−0.000791501	−	0.000575059i
$796$	−44.3466	+	32.2197i	−1.57182	+	1.14200i
$797$	2.34830	−	7.22732i	0.0831810	−	0.256005i	−0.900813	−	0.434208i	$-0.857028\pi$
$797$	2.34830	−	7.22732i	0.0831810	−	0.256005i	0.983994	+	0.178203i	$0.0570283\pi$
$798$	−0.212484	+	0.653957i	−0.00752184	+	0.0231498i
$799$	0.191823	−	0.139368i	0.00678621	−	0.00493047i
$800$	−5.10249	−	3.70718i	−0.180400	−	0.131069i
$801$	7.53967	+	23.2047i	0.266401	+	0.819898i
$802$	0.318593			0.0112499
$803$		0			0
$804$	−6.11403			−0.215625
$805$	0.303734	+	0.934797i	0.0107052	+	0.0329473i
$806$	−70.7463	−	51.4002i	−2.49193	−	1.81050i
$807$	2.67827	−	1.94588i	0.0942796	−	0.0684981i
$808$	0.941051	−	2.89626i	0.0331061	−	0.101890i
$809$	−16.2438	+	49.9932i	−0.571101	+	1.75767i	0.0779854	+	0.996955i	$0.475151\pi$
$809$	−16.2438	+	49.9932i	−0.571101	+	1.75767i	−0.649087	+	0.760714i	$0.724849\pi$
$810$	7.17014	−	5.20941i	0.251933	−	0.183040i
$811$	21.4543	+	15.5874i	0.753361	+	0.547349i	0.896867	−	0.442301i	$-0.145838\pi$
$811$	21.4543	+	15.5874i	0.753361	+	0.547349i	−0.143506	+	0.989649i	$0.545838\pi$
$812$	−0.483902	−	1.48930i	−0.0169816	−	0.0522640i
$813$	−9.83585			−0.344958
$814$		0			0
$815$	−2.08849			−0.0731566
$816$	0.0744001	+	0.228980i	0.00260452	+	0.00801590i
$817$	−8.74962	−	6.35697i	−0.306110	−	0.222402i
$818$	−52.5168	+	38.1557i	−1.83621	+	1.33408i
$819$	−0.504188	+	1.55173i	−0.0176177	+	0.0542219i
$820$	7.23056	−	22.2534i	0.252502	−	0.777121i
$821$	−24.5948	+	17.8692i	−0.858364	+	0.623638i	−0.927439	−	0.373974i	$-0.877995\pi$
$821$	−24.5948	+	17.8692i	−0.858364	+	0.623638i	0.0690756	+	0.997611i	$0.477995\pi$
$822$	11.8952	+	8.64236i	0.414892	+	0.301437i
$823$	7.60476	+	23.4050i	0.265085	+	0.815849i	0.991674	+	0.128776i	$0.0411047\pi$
$823$	7.60476	+	23.4050i	0.265085	+	0.815849i	−0.726588	+	0.687073i	$0.758895\pi$
$824$	5.84874			0.203751
$825$		0			0
$826$	−1.53254			−0.0533240
$827$	−4.94739	−	15.2265i	−0.172038	−	0.529477i	0.827448	−	0.561542i	$-0.189792\pi$
$827$	−4.94739	−	15.2265i	−0.172038	−	0.529477i	−0.999486	+	0.0320649i	$0.989792\pi$
$828$	−47.6112	−	34.5916i	−1.65460	−	1.20214i
$829$	13.4671	−	9.78440i	0.467731	−	0.339826i	−0.328826	−	0.944391i	$-0.606653\pi$
$829$	13.4671	−	9.78440i	0.467731	−	0.339826i	0.796556	+	0.604564i	$0.206653\pi$
$830$	0.437083	−	1.34520i	0.0151714	−	0.0466927i
$831$	7.68270	−	23.6449i	0.266510	−	0.820233i
$832$	−58.0002	+	42.1396i	−2.01080	+	1.46093i
$833$	−2.93547	−	2.13274i	−0.101708	−	0.0738951i
$834$	−8.68397	−	26.7265i	−0.300701	−	0.925463i
$835$	−16.6281			−0.575439
$836$		0			0
$837$	−29.5702			−1.02210
$838$	7.73372	+	23.8020i	0.267157	+	0.822225i
$839$	−1.65638	−	1.20343i	−0.0571846	−	0.0415471i	0.558826	−	0.829285i	$-0.311252\pi$
$839$	−1.65638	−	1.20343i	−0.0571846	−	0.0415471i	−0.616010	+	0.787738i	$0.711252\pi$
$840$	−0.193423	+	0.140530i	−0.00667372	+	0.00484874i
$841$	−3.82600	+	11.7752i	−0.131931	+	0.406042i
$842$	2.37471	−	7.30860i	0.0818379	−	0.251871i
$843$	−18.1673	+	13.1993i	−0.625714	+	0.454608i
$844$	46.0443	+	33.4531i	1.58491	+	1.15150i
$845$	5.31038	+	16.3437i	0.182682	+	0.562239i
$846$	2.46882			0.0848799
$847$		0			0
$848$	−0.0211500			−0.000726293
$849$	1.16579	+	3.58793i	0.0400098	+	0.123138i
$850$	−0.948979	−	0.689474i	−0.0325497	−	0.0236487i
$851$	−56.3663	+	40.9525i	−1.93221	+	1.40383i
$852$	9.13673	−	28.1200i	0.313019	−	0.963374i
$853$	10.8792	−	33.4826i	0.372495	−	1.14642i	−0.572658	−	0.819795i	$-0.694088\pi$
$853$	10.8792	−	33.4826i	0.372495	−	1.14642i	0.945153	−	0.326628i	$-0.105912\pi$
$854$	1.74127	−	1.26511i	0.0595852	−	0.0432912i
$855$	−6.12306	−	4.44866i	−0.209404	−	0.152141i
$856$	4.43187	+	13.6399i	0.151478	+	0.466202i
$857$	−21.9827			−0.750915			−0.375458	−	0.926840i	$-0.622514\pi$
$857$	−21.9827			−0.750915			−0.375458	+	0.926840i	$0.622514\pi$
$858$		0			0
$859$	−13.4218			−0.457945			−0.228972	−	0.973433i	$-0.573537\pi$
$859$	−13.4218			−0.457945			−0.228972	+	0.973433i	$0.573537\pi$
$860$	−3.27763	−	10.0875i	−0.111766	−	0.343981i
$861$	0.588841	+	0.427818i	0.0200676	+	0.0145800i
$862$	24.9767	−	18.1467i	0.850711	−	0.618078i
$863$	−4.96951	+	15.2946i	−0.169164	+	0.520633i	−0.999319	−	0.0368995i	$-0.988252\pi$
$863$	−4.96951	+	15.2946i	−0.169164	+	0.520633i	0.830155	+	0.557533i	$0.188252\pi$
$864$	−8.17583	+	25.1626i	−0.278147	+	0.856050i
$865$	−15.6338	+	11.3586i	−0.531565	+	0.386204i
$866$	−28.2135	−	20.4983i	−0.958735	−	0.696562i
$867$	−4.01951	−	12.3708i	−0.136510	−	0.420134i
$868$	−2.70772			−0.0919061
$869$		0			0
$870$	−7.15673			−0.242636
$871$	4.30878	+	13.2611i	0.145997	+	0.449334i
$872$	−8.46663	−	6.15136i	−0.286716	−	0.208311i
$873$	−3.55605	+	2.58362i	−0.120354	+	0.0874423i
$874$	−17.4788	+	53.7942i	−0.591229	+	1.81962i
$875$	−0.0383089	+	0.117903i	−0.00129508	+	0.00398583i
$876$	16.6076	−	12.0661i	0.561118	−	0.407676i
$877$	27.7819	+	20.1847i	0.938127	+	0.681589i	0.947969	−	0.318363i	$-0.103133\pi$
$877$	27.7819	+	20.1847i	0.938127	+	0.681589i	−0.00984245	+	0.999952i	$0.503133\pi$
$878$	6.88718	+	21.1965i	0.232431	+	0.715349i
$879$	−3.11584			−0.105095
$880$		0			0
$881$	6.08507			0.205011			0.102506	−	0.994732i	$-0.467314\pi$
$881$	6.08507			0.205011			0.102506	+	0.994732i	$0.467314\pi$
$882$	−11.6748	−	35.9313i	−0.393110	−	1.20987i
$883$	−3.76784	−	2.73750i	−0.126798	−	0.0921241i	0.522579	−	0.852591i	$-0.324970\pi$
$883$	−3.76784	−	2.73750i	−0.126798	−	0.0921241i	−0.649377	+	0.760467i	$0.724970\pi$
$884$	−7.15459	+	5.19812i	−0.240635	+	0.174832i
$885$	−1.31537	+	4.04828i	−0.0442155	+	0.136081i
$886$	−21.8399	+	67.2162i	−0.733724	+	2.25817i
$887$	−17.9163	+	13.0169i	−0.601569	+	0.437066i	−0.846435	−	0.532491i	$-0.821256\pi$
$887$	−17.9163	+	13.0169i	−0.601569	+	0.437066i	0.244866	+	0.969557i	$0.421256\pi$
$888$	−13.7106	−	9.96137i	−0.460099	−	0.334282i
$889$	−0.410283	−	1.26272i	−0.0137605	−	0.0423504i
$890$	22.9982			0.770901
$891$		0			0
$892$	5.97722			0.200132
$893$	−0.445616	−	1.37147i	−0.0149120	−	0.0458944i
$894$	19.7240	+	14.3303i	0.659668	+	0.479277i
$895$	2.34694	−	1.70515i	0.0784494	−	0.0569969i
$896$	−0.645527	+	1.98673i	−0.0215656	+	0.0663720i
$897$	10.4655	−	32.2096i	0.349434	−	1.07545i
$898$	−23.2495	+	16.8917i	−0.775846	+	0.563685i
$899$	−23.2481	−	16.8907i	−0.775367	−	0.563337i
$900$	−2.29372	−	7.05933i	−0.0764572	−	0.235311i
$901$	−0.0184315			−0.000614044
$902$		0			0
$903$	0.329935			0.0109796
$904$	−11.5888	−	35.6665i	−0.385436	−	1.18625i
$905$	−8.10396	−	5.88787i	−0.269385	−	0.195720i
$906$	−11.7167	+	8.51270i	−0.389262	+	0.282816i
$907$	11.3906	−	35.0566i	0.378218	−	1.16404i	−0.563063	−	0.826414i	$-0.690377\pi$
$907$	11.3906	−	35.0566i	0.378218	−	1.16404i	0.941281	−	0.337623i	$-0.109623\pi$
$908$	−28.1378	+	86.5993i	−0.933787	+	2.87390i
$909$	−2.37929	+	1.72865i	−0.0789159	+	0.0573358i
$910$	1.24420	+	0.903967i	0.0412449	+	0.0299662i
$911$	5.14788	+	15.8435i	0.170557	+	0.524920i	0.999403	−	0.0345572i	$-0.0110021\pi$
$911$	5.14788	+	15.8435i	0.170557	+	0.524920i	−0.828846	+	0.559477i	$0.811002\pi$
$912$	1.46429			0.0484874
$913$		0			0
$914$	−9.73549			−0.322021
$915$	−1.84733	−	5.68548i	−0.0610707	−	0.187956i
$916$	49.2127	+	35.7551i	1.62603	+	1.18138i
$917$	−0.657942	+	0.478023i	−0.0217272	+	0.0157857i
$918$	−1.52057	+	4.67983i	−0.0501862	+	0.154457i
$919$	15.5426	−	47.8353i	0.512704	−	1.57794i	−0.274718	−	0.961525i	$-0.588585\pi$
$919$	15.5426	−	47.8353i	0.512704	−	1.57794i	0.787422	−	0.616415i	$-0.211415\pi$
$920$	−15.9108	+	11.5599i	−0.524565	+	0.381119i
$921$	2.31795	+	1.68409i	0.0763792	+	0.0554927i
$922$	−12.3723	−	38.0780i	−0.407460	−	1.25403i
$923$	−67.4299			−2.21948
$924$		0			0
$925$	−8.78754			−0.288933
$926$	−2.39396	−	7.36784i	−0.0786703	−	0.242122i
$927$	−4.56960	−	3.32001i	−0.150085	−	0.109043i
$928$	−20.8009	+	15.1127i	−0.682823	+	0.496100i
$929$	11.9754	−	36.8566i	0.392901	−	1.20923i	−0.537682	−	0.843147i	$-0.680700\pi$
$929$	11.9754	−	36.8566i	0.392901	−	1.20923i	0.930584	−	0.366079i	$-0.119300\pi$
$930$	−3.82408	+	11.7693i	−0.125396	+	0.385931i
$931$	−17.8531	+	12.9710i	−0.585110	+	0.425108i
$932$	12.7049	+	9.23068i	0.416164	+	0.302361i
$933$	−2.39476	−	7.37031i	−0.0784009	−	0.241293i
$934$	35.3109			1.15541
$935$		0			0
$936$	−32.6463			−1.06708
$937$	−4.84312	−	14.9056i	−0.158218	−	0.486944i	0.840255	−	0.542192i	$-0.182405\pi$
$937$	−4.84312	−	14.9056i	−0.158218	−	0.486944i	−0.998473	+	0.0552472i	$0.982405\pi$
$938$	0.574745	+	0.417577i	0.0187661	+	0.0136344i
$939$	−11.8637	+	8.61946i	−0.387156	+	0.281285i
$940$	0.437026	−	1.34503i	0.0142542	−	0.0438700i
$941$	8.75099	−	26.9328i	0.285274	−	0.877984i	−0.701042	−	0.713120i	$-0.747281\pi$
$941$	8.75099	−	26.9328i	0.285274	−	0.877984i	0.986316	−	0.164864i	$-0.0527185\pi$
$942$	14.6077	−	10.6131i	0.475944	−	0.345793i
$943$	48.4377	+	35.1920i	1.57735	+	1.14601i
$944$	1.00851	+	3.10386i	0.0328241	+	0.101022i
$945$	0.520046			0.0169171
$946$		0			0
$947$	10.1955			0.331309			0.165654	−	0.986184i	$-0.447026\pi$
$947$	10.1955			0.331309			0.165654	+	0.986184i	$0.447026\pi$
$948$	−4.67042	−	14.3741i	−0.151688	−	0.466849i
$949$	−37.8748	−	27.5177i	−1.22947	−	0.893261i
$950$	−5.77155	+	4.19328i	−0.187254	+	0.136048i
$951$	0.935667	−	2.87969i	0.0303411	−	0.0933803i
$952$	−0.0493647	+	0.151929i	−0.00159992	+	0.00492404i
$953$	3.75591	−	2.72883i	0.121666	−	0.0883953i	−0.525288	−	0.850924i	$-0.676043\pi$
$953$	3.75591	−	2.72883i	0.121666	−	0.0883953i	0.646954	+	0.762529i	$0.276043\pi$
$954$	−0.155262	−	0.112805i	−0.00502681	−	0.00365219i
$955$	−4.19165	−	12.9006i	−0.135639	−	0.417453i
$956$	−69.7268			−2.25513
$957$		0			0
$958$	−86.9496			−2.80921
$959$	−0.320847	−	0.987466i	−0.0103607	−	0.0318869i
$960$	8.20781	+	5.96333i	0.264906	+	0.192466i
$961$	−15.1196	+	10.9850i	−0.487729	+	0.354356i
$962$	−33.6873	+	103.679i	−1.08612	+	3.34274i
$963$	4.28002	−	13.1725i	0.137922	−	0.424479i
$964$	−69.4185	+	50.4355i	−2.23582	+	1.62442i
$965$	11.0775	+	8.04824i	0.356596	+	0.259082i
$966$	−0.533222	−	1.64109i	−0.0171561	−	0.0528012i
$967$	38.0543			1.22374			0.611872	−	0.790957i	$-0.290417\pi$
$967$	38.0543			1.22374			0.611872	+	0.790957i	$0.290417\pi$
$968$		0			0
$969$	1.27608			0.0409937
$970$	1.28031	+	3.94040i	0.0411084	+	0.126519i
$971$	−25.6327	−	18.6233i	−0.822594	−	0.597650i	0.0948604	−	0.995491i	$-0.469760\pi$
$971$	−25.6327	−	18.6233i	−0.822594	−	0.597650i	−0.917454	+	0.397841i	$0.869760\pi$
$972$	−39.1971	+	28.4784i	−1.25725	+	0.913444i
$973$	−0.613226	+	1.88731i	−0.0196591	+	0.0605045i
$974$	6.29417	−	19.3715i	0.201678	−	0.620701i
$975$	3.45576	−	2.51075i	0.110673	−	0.0804084i
$976$	−3.70809	−	2.69409i	−0.118693	−	0.0862356i
$977$	12.5207	+	38.5349i	0.400574	+	1.23284i	0.924535	+	0.381098i	$0.124454\pi$
$977$	12.5207	+	38.5349i	0.400574	+	1.23284i	−0.523961	+	0.851742i	$0.675546\pi$
$978$	3.66646			0.117241
$979$		0			0
$980$	−21.6422			−0.691335
$981$	3.12315	+	9.61208i	0.0997146	+	0.306890i
$982$	8.64182	+	6.27865i	0.275772	+	0.200360i
$983$	15.2402	−	11.0726i	0.486086	−	0.353163i	−0.317591	−	0.948228i	$-0.602874\pi$
$983$	15.2402	−	11.0726i	0.486086	−	0.353163i	0.803677	+	0.595065i	$0.202874\pi$
$984$	−4.50036	+	13.8507i	−0.143466	+	0.441543i
$985$	−0.803336	+	2.47241i	−0.0255964	+	0.0787777i
$986$	−3.86862	+	2.81072i	−0.123202	+	0.0895116i
$987$	0.0355904	+	0.0258580i	0.00113286	+	0.000823068i
$988$	16.6206	+	51.1528i	0.528770	+	1.62739i
$989$	27.1403			0.863011
$990$		0			0
$991$	4.63565			0.147256			0.0736281	−	0.997286i	$-0.476542\pi$
$991$	4.63565			0.147256			0.0736281	+	0.997286i	$0.476542\pi$
$992$	13.7384	+	42.2825i	0.436195	+	1.34247i
$993$	−5.01705	−	3.64510i	−0.159211	−	0.115674i
$994$	−2.77943	+	2.01938i	−0.0881583	+	0.0640508i
$995$	5.46672	−	16.8248i	0.173307	−	0.533383i
$996$	−0.466327	+	1.43521i	−0.0147761	+	0.0454763i
$997$	16.3373	−	11.8697i	0.517406	−	0.375918i	−0.298220	−	0.954497i	$-0.596393\pi$
$997$	16.3373	−	11.8697i	0.517406	−	0.375918i	0.815626	+	0.578580i	$0.196393\pi$
$998$	2.09186	+	1.51982i	0.0662165	+	0.0481091i
$999$	11.3913	+	35.0589i	0.360406	+	1.10921i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	605.2.g.n.511.1		8
11.2	odd	10		55.2.g.a.31.2	yes	8
11.3	even	5		605.2.a.i.1.2		4
11.4	even	5		605.2.g.g.366.2		8
11.5	even	5		605.2.g.g.81.2		8
11.6	odd	10		605.2.g.j.81.1		8
11.7	odd	10		605.2.g.j.366.1		8
11.8	odd	10		605.2.a.l.1.3		4
11.9	even	5	inner	605.2.g.n.251.1		8
11.10	odd	2		55.2.g.a.16.2	✓	8
33.2	even	10		495.2.n.f.361.1		8
33.8	even	10		5445.2.a.bg.1.2		4
33.14	odd	10		5445.2.a.bu.1.3		4
33.32	even	2		495.2.n.f.181.1		8
44.3	odd	10		9680.2.a.cv.1.2		4
44.19	even	10		9680.2.a.cs.1.2		4
44.35	even	10		880.2.bo.e.801.2		8
44.43	even	2		880.2.bo.e.401.2		8
55.2	even	20		275.2.z.b.174.4		16
55.13	even	20		275.2.z.b.174.1		16
55.14	even	10		3025.2.a.be.1.3		4
55.19	odd	10		3025.2.a.v.1.2		4
55.24	odd	10		275.2.h.b.251.1		8
55.32	even	4		275.2.z.b.49.1		16
55.43	even	4		275.2.z.b.49.4		16
55.54	odd	2		275.2.h.b.126.1		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
55.2.g.a.16.2	✓	8	11.10	odd	2
55.2.g.a.31.2	yes	8	11.2	odd	10
275.2.h.b.126.1		8	55.54	odd	2
275.2.h.b.251.1		8	55.24	odd	10
275.2.z.b.49.1		16	55.32	even	4
275.2.z.b.49.4		16	55.43	even	4
275.2.z.b.174.1		16	55.13	even	20
275.2.z.b.174.4		16	55.2	even	20
495.2.n.f.181.1		8	33.32	even	2
495.2.n.f.361.1		8	33.2	even	10
605.2.a.i.1.2		4	11.3	even	5
605.2.a.l.1.3		4	11.8	odd	10
605.2.g.g.81.2		8	11.5	even	5
605.2.g.g.366.2		8	11.4	even	5
605.2.g.j.81.1		8	11.6	odd	10
605.2.g.j.366.1		8	11.7	odd	10
605.2.g.n.251.1		8	11.9	even	5	inner
605.2.g.n.511.1		8	1.1	even	1	trivial
880.2.bo.e.401.2		8	44.43	even	2
880.2.bo.e.801.2		8	44.35	even	10
3025.2.a.v.1.2		4	55.19	odd	10
3025.2.a.be.1.3		4	55.14	even	10
5445.2.a.bg.1.2		4	33.8	even	10
5445.2.a.bu.1.3		4	33.14	odd	10
9680.2.a.cs.1.2		4	44.19	even	10
9680.2.a.cv.1.2		4	44.3	odd	10

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:	\( N \)	\(=\)	\( 605 = 5 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	605.g (of order \(5\), degree \(4\), not minimal)

\(f(q)\)	\(=\)	\(q+(-0.697759 - 2.14748i) q^{2} +(-0.628998 - 0.456994i) q^{3} +(-2.50678 + 1.82128i) q^{4} +(0.309017 - 0.951057i) q^{5} +(-0.542497 + 1.66963i) q^{6} +(0.100294 - 0.0728678i) q^{7} +(2.00678 + 1.45801i) q^{8} +(-0.740256 - 2.27827i) q^{9} +O(q^{10})\)	\(q+(-0.697759 - 2.14748i) q^{2} +(-0.628998 - 0.456994i) q^{3} +(-2.50678 + 1.82128i) q^{4} +(0.309017 - 0.951057i) q^{5} +(-0.542497 + 1.66963i) q^{6} +(0.100294 - 0.0728678i) q^{7} +(2.00678 + 1.45801i) q^{8} +(-0.740256 - 2.27827i) q^{9} -2.25800 q^{10} +2.40907 q^{12} +(-1.69776 - 5.22517i) q^{13} +(-0.226463 - 0.164535i) q^{14} +(-0.628998 + 0.456994i) q^{15} +(-0.184207 + 0.566931i) q^{16} +(-0.160531 + 0.494063i) q^{17} +(-4.37603 + 3.17937i) q^{18} +(2.55605 + 1.85708i) q^{19} +(0.957503 + 2.94689i) q^{20} -0.0963848 q^{21} -7.92856 q^{23} +(-0.595957 - 1.83417i) q^{24} +(-0.809017 - 0.587785i) q^{25} +(-10.0363 + 7.29181i) q^{26} +(-1.29630 + 3.98962i) q^{27} +(-0.118702 + 0.365326i) q^{28} +(-3.29805 + 2.39618i) q^{29} +(1.42027 + 1.03189i) q^{30} +(2.17827 + 6.70403i) q^{31} +6.30703 q^{32} +1.17300 q^{34} +(-0.0383089 - 0.117903i) q^{35} +(6.00503 + 4.36291i) q^{36} +(7.10927 - 5.16519i) q^{37} +(2.20454 - 6.78486i) q^{38} +(-1.31998 + 4.06248i) q^{39} +(2.00678 - 1.45801i) q^{40} +(-6.10927 - 4.43864i) q^{41} +(0.0672534 + 0.206985i) q^{42} -3.42310 q^{43} -2.39552 q^{45} +(5.53222 + 17.0264i) q^{46} +(-0.369254 - 0.268279i) q^{47} +(0.374949 - 0.272417i) q^{48} +(-2.15837 + 6.64278i) q^{49} +(-0.697759 + 2.14748i) q^{50} +(0.326757 - 0.237403i) q^{51} +(13.7724 + 10.0062i) q^{52} +(0.0109640 + 0.0337437i) q^{53} +9.47214 q^{54} +0.307509 q^{56} +(-0.759076 - 2.33620i) q^{57} +(7.44699 + 5.41056i) q^{58} +(4.42925 - 3.21804i) q^{59} +(0.744444 - 2.29116i) q^{60} +(-2.37603 + 7.31267i) q^{61} +(12.8769 - 9.35559i) q^{62} +(-0.240256 - 0.174556i) q^{63} +(-4.03237 - 12.4104i) q^{64} -5.49406 q^{65} -2.53792 q^{67} +(-0.497412 - 1.53088i) q^{68} +(4.98705 + 3.62330i) q^{69} +(-0.226463 + 0.164535i) q^{70} +(3.79264 - 11.6725i) q^{71} +(1.83621 - 5.65128i) q^{72} +(6.89377 - 5.00862i) q^{73} +(-16.0527 - 11.6630i) q^{74} +(0.240256 + 0.739431i) q^{75} -9.78970 q^{76} +9.64514 q^{78} +(-1.93868 - 5.96665i) q^{79} +(0.482260 + 0.350382i) q^{80} +(-3.17544 + 2.30709i) q^{81} +(-5.26911 + 16.2166i) q^{82} +(-0.193571 + 0.595751i) q^{83} +(0.241615 - 0.175544i) q^{84} +(0.420275 + 0.305348i) q^{85} +(2.38850 + 7.35105i) q^{86} +3.16951 q^{87} -10.1852 q^{89} +(1.67149 + 5.14433i) q^{90} +(-0.551021 - 0.400340i) q^{91} +(19.8751 - 14.4401i) q^{92} +(1.69357 - 5.21228i) q^{93} +(-0.318473 + 0.980160i) q^{94} +(2.55605 - 1.85708i) q^{95} +(-3.96711 - 2.88227i) q^{96} +(-0.567013 - 1.74509i) q^{97} +15.7713 q^{98} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 4 q^{2} + q^{3} - 6 q^{4} - 2 q^{5} - 13 q^{6} + 3 q^{7} + 2 q^{8} - 5 q^{9}+O(q^{10}) \) 8 * q + 4 * q^2 + q^3 - 6 * q^4 - 2 * q^5 - 13 * q^6 + 3 * q^7 + 2 * q^8 - 5 * q^9	\( 8 q + 4 q^{2} + q^{3} - 6 q^{4} - 2 q^{5} - 13 q^{6} + 3 q^{7} + 2 q^{8} - 5 q^{9} - 6 q^{10} - 28 q^{12} - 4 q^{13} + 16 q^{14} + q^{15} - 20 q^{16} - q^{17} - 14 q^{18} + q^{19} - q^{20} + 12 q^{21} - 18 q^{23} - 25 q^{24} - 2 q^{25} - 14 q^{26} + 10 q^{27} - 4 q^{28} - 19 q^{29} + 12 q^{30} + 6 q^{31} - 12 q^{32} - 20 q^{34} + 8 q^{35} + 21 q^{36} + 4 q^{37} - 6 q^{38} - 9 q^{39} + 2 q^{40} + 4 q^{41} + 29 q^{42} - 42 q^{43} + 41 q^{46} + 4 q^{47} - 19 q^{48} - 15 q^{49} + 4 q^{50} - 13 q^{51} + 26 q^{52} + 3 q^{53} + 40 q^{54} + 30 q^{56} + 5 q^{57} - 6 q^{58} - 19 q^{59} + 22 q^{60} + 2 q^{61} + 38 q^{62} - q^{63} + 6 q^{64} - 14 q^{65} - 2 q^{67} - 35 q^{68} - 21 q^{69} + 16 q^{70} + 40 q^{71} + 34 q^{72} + 23 q^{73} - 48 q^{74} + q^{75} - 16 q^{76} + 12 q^{78} - 17 q^{79} + 15 q^{80} + 2 q^{82} + 25 q^{83} + 4 q^{84} + 4 q^{85} - 31 q^{86} - 30 q^{87} + 16 q^{90} - 12 q^{91} + 81 q^{92} - 13 q^{93} - 33 q^{94} + q^{95} - 23 q^{96} + 12 q^{97} + 84 q^{98}+O(q^{100}) \) 8 * q + 4 * q^2 + q^3 - 6 * q^4 - 2 * q^5 - 13 * q^6 + 3 * q^7 + 2 * q^8 - 5 * q^9 - 6 * q^10 - 28 * q^12 - 4 * q^13 + 16 * q^14 + q^15 - 20 * q^16 - q^17 - 14 * q^18 + q^19 - q^20 + 12 * q^21 - 18 * q^23 - 25 * q^24 - 2 * q^25 - 14 * q^26 + 10 * q^27 - 4 * q^28 - 19 * q^29 + 12 * q^30 + 6 * q^31 - 12 * q^32 - 20 * q^34 + 8 * q^35 + 21 * q^36 + 4 * q^37 - 6 * q^38 - 9 * q^39 + 2 * q^40 + 4 * q^41 + 29 * q^42 - 42 * q^43 + 41 * q^46 + 4 * q^47 - 19 * q^48 - 15 * q^49 + 4 * q^50 - 13 * q^51 + 26 * q^52 + 3 * q^53 + 40 * q^54 + 30 * q^56 + 5 * q^57 - 6 * q^58 - 19 * q^59 + 22 * q^60 + 2 * q^61 + 38 * q^62 - q^63 + 6 * q^64 - 14 * q^65 - 2 * q^67 - 35 * q^68 - 21 * q^69 + 16 * q^70 + 40 * q^71 + 34 * q^72 + 23 * q^73 - 48 * q^74 + q^75 - 16 * q^76 + 12 * q^78 - 17 * q^79 + 15 * q^80 + 2 * q^82 + 25 * q^83 + 4 * q^84 + 4 * q^85 - 31 * q^86 - 30 * q^87 + 16 * q^90 - 12 * q^91 + 81 * q^92 - 13 * q^93 - 33 * q^94 + q^95 - 23 * q^96 + 12 * q^97 + 84 * q^98

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