LMFDB - Embedded newform 322.2.i.e.211.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [322,2,Mod(29,322)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(322, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 18]))

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

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

chi := DirichletCharacter("322.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 322 = 2 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	322.i (of order $11$, degree $10$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$2.57118294509$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$4$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			211.2
Character	$\chi$	$=$	322.211
Dual form			322.2.i.e.29.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.415415 - 0.909632i) q^{2} +(-0.589310 + 0.173037i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(3.36368 + 2.16170i) q^{5} +(0.402208 + 0.464173i) q^{6} +(-0.142315 - 0.989821i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-2.20642 + 1.41798i) q^{9} +O(q^{10})$	\(q+(-0.415415 - 0.909632i) q^{2} +(-0.589310 + 0.173037i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(3.36368 + 2.16170i) q^{5} +(0.402208 + 0.464173i) q^{6} +(-0.142315 - 0.989821i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-2.20642 + 1.41798i) q^{9} +(0.569033 - 3.95771i) q^{10} +(-2.44410 + 5.35183i) q^{11} +(0.255143 - 0.558686i) q^{12} +(-0.0479052 + 0.333188i) q^{13} +(-0.841254 + 0.540641i) q^{14} +(-2.35630 - 0.691873i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(1.96942 + 2.27283i) q^{17} +(2.20642 + 1.41798i) q^{18} +(0.686700 - 0.792494i) q^{19} +(-3.83645 + 1.12648i) q^{20} +(0.255143 + 0.558686i) q^{21} +5.88351 q^{22} +(3.84244 - 2.86978i) q^{23} -0.614189 q^{24} +(4.56428 + 9.99439i) q^{25} +(0.322979 - 0.0948351i) q^{26} +(2.26153 - 2.60994i) q^{27} +(0.841254 + 0.540641i) q^{28} +(-0.265910 - 0.306877i) q^{29} +(0.349494 + 2.43078i) q^{30} +(-2.86899 - 0.842410i) q^{31} +(-0.841254 + 0.540641i) q^{32} +(0.514267 - 3.57681i) q^{33} +(1.24931 - 2.73561i) q^{34} +(1.66100 - 3.63708i) q^{35} +(0.373259 - 2.59608i) q^{36} +(8.42515 - 5.41452i) q^{37} +(-1.00614 - 0.295430i) q^{38} +(-0.0294228 - 0.204640i) q^{39} +(2.61840 + 3.02180i) q^{40} +(9.04955 + 5.81579i) q^{41} +(0.402208 - 0.464173i) q^{42} +(-2.61799 + 0.768712i) q^{43} +(-2.44410 - 5.35183i) q^{44} -10.4869 q^{45} +(-4.20665 - 2.30306i) q^{46} -7.34349 q^{47} +(0.255143 + 0.558686i) q^{48} +(-0.959493 + 0.281733i) q^{49} +(7.19514 - 8.30364i) q^{50} +(-1.55388 - 0.998619i) q^{51} +(-0.220435 - 0.254396i) q^{52} +(-1.00734 - 7.00617i) q^{53} +(-3.31356 - 0.972948i) q^{54} +(-19.7902 + 12.7184i) q^{55} +(0.142315 - 0.989821i) q^{56} +(-0.267548 + 0.585849i) q^{57} +(-0.168682 + 0.369362i) q^{58} +(1.65987 - 11.5446i) q^{59} +(2.06593 - 1.32769i) q^{60} +(-5.30516 - 1.55774i) q^{61} +(0.425537 + 2.95967i) q^{62} +(1.71755 + 1.98216i) q^{63} +(0.841254 + 0.540641i) q^{64} +(-0.881391 + 1.01718i) q^{65} +(-3.46721 + 1.01807i) q^{66} +(3.28277 + 7.18827i) q^{67} -3.00738 q^{68} +(-1.76781 + 2.35607i) q^{69} -3.99841 q^{70} +(-0.274591 - 0.601271i) q^{71} +(-2.51653 + 0.738920i) q^{72} +(-10.9424 + 12.6282i) q^{73} +(-8.42515 - 5.41452i) q^{74} +(-4.41918 - 5.10000i) q^{75} +(0.149234 + 1.03795i) q^{76} +(5.64519 + 1.65758i) q^{77} +(-0.173925 + 0.111775i) q^{78} +(1.36609 - 9.50139i) q^{79} +(1.66100 - 3.63708i) q^{80} +(2.38749 - 5.22788i) q^{81} +(1.53091 - 10.6477i) q^{82} +(4.62483 - 2.97220i) q^{83} +(-0.589310 - 0.173037i) q^{84} +(1.71130 + 11.9024i) q^{85} +(1.78680 + 2.06207i) q^{86} +(0.209805 + 0.134833i) q^{87} +(-3.85288 + 4.44646i) q^{88} +(6.07175 - 1.78283i) q^{89} +(4.35642 + 9.53924i) q^{90} +0.336614 q^{91} +(-0.347431 + 4.78323i) q^{92} +1.83649 q^{93} +(3.05060 + 6.67987i) q^{94} +(4.02297 - 1.18125i) q^{95} +(0.402208 - 0.464173i) q^{96} +(-2.44611 - 1.57202i) q^{97} +(0.654861 + 0.755750i) q^{98} +(-2.19608 - 15.2740i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q + 4 q^{2} + 2 q^{3} - 4 q^{4} - 9 q^{5} - 2 q^{6} - 4 q^{7} + 4 q^{8}+O(q^{10}) $ 40 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 - 9 * q^5 - 2 * q^6 - 4 * q^7 + 4 * q^8	$ 40 q + 4 q^{2} + 2 q^{3} - 4 q^{4} - 9 q^{5} - 2 q^{6} - 4 q^{7} + 4 q^{8} - 2 q^{10} + 2 q^{12} + 4 q^{13} + 4 q^{14} - 11 q^{15} - 4 q^{16} - 21 q^{17} + 4 q^{19} + 2 q^{20} + 2 q^{21} - 11 q^{23} - 2 q^{24} + 5 q^{25} - 15 q^{26} + 95 q^{27} - 4 q^{28} + 22 q^{30} - 12 q^{31} + 4 q^{32} - 8 q^{33} + 10 q^{34} - 9 q^{35} + 41 q^{37} + 7 q^{38} - 38 q^{39} - 13 q^{40} + 25 q^{41} - 2 q^{42} - 59 q^{43} - 6 q^{45} + 11 q^{46} - 60 q^{47} + 2 q^{48} - 4 q^{49} + 61 q^{50} - 87 q^{51} + 4 q^{52} + 47 q^{53} - 29 q^{54} - 30 q^{55} + 4 q^{56} + 20 q^{57} - 96 q^{59} - 11 q^{60} + 84 q^{61} - 65 q^{62} - 4 q^{64} + 52 q^{65} - 3 q^{66} + 11 q^{67} - 10 q^{68} - 42 q^{69} - 2 q^{70} - 13 q^{71} + 11 q^{72} - 48 q^{73} - 41 q^{74} + 23 q^{75} + 26 q^{76} - 83 q^{78} + 80 q^{79} - 9 q^{80} + 2 q^{81} + 30 q^{82} - 20 q^{83} + 2 q^{84} - 71 q^{85} - 40 q^{86} + 99 q^{87} - 30 q^{89} + 116 q^{90} + 26 q^{91} - 22 q^{92} + 20 q^{93} - 17 q^{94} - 4 q^{95} - 2 q^{96} - 56 q^{97} + 4 q^{98} + 138 q^{99}+O(q^{100}) $ 40 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 - 9 * q^5 - 2 * q^6 - 4 * q^7 + 4 * q^8 - 2 * q^10 + 2 * q^12 + 4 * q^13 + 4 * q^14 - 11 * q^15 - 4 * q^16 - 21 * q^17 + 4 * q^19 + 2 * q^20 + 2 * q^21 - 11 * q^23 - 2 * q^24 + 5 * q^25 - 15 * q^26 + 95 * q^27 - 4 * q^28 + 22 * q^30 - 12 * q^31 + 4 * q^32 - 8 * q^33 + 10 * q^34 - 9 * q^35 + 41 * q^37 + 7 * q^38 - 38 * q^39 - 13 * q^40 + 25 * q^41 - 2 * q^42 - 59 * q^43 - 6 * q^45 + 11 * q^46 - 60 * q^47 + 2 * q^48 - 4 * q^49 + 61 * q^50 - 87 * q^51 + 4 * q^52 + 47 * q^53 - 29 * q^54 - 30 * q^55 + 4 * q^56 + 20 * q^57 - 96 * q^59 - 11 * q^60 + 84 * q^61 - 65 * q^62 - 4 * q^64 + 52 * q^65 - 3 * q^66 + 11 * q^67 - 10 * q^68 - 42 * q^69 - 2 * q^70 - 13 * q^71 + 11 * q^72 - 48 * q^73 - 41 * q^74 + 23 * q^75 + 26 * q^76 - 83 * q^78 + 80 * q^79 - 9 * q^80 + 2 * q^81 + 30 * q^82 - 20 * q^83 + 2 * q^84 - 71 * q^85 - 40 * q^86 + 99 * q^87 - 30 * q^89 + 116 * q^90 + 26 * q^91 - 22 * q^92 + 20 * q^93 - 17 * q^94 - 4 * q^95 - 2 * q^96 - 56 * q^97 + 4 * q^98 + 138 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/322\mathbb{Z}\right)^\times$.

$n$	$185$	$281$
$\chi(n)$	$1$	$e\left(\frac{2}{11}\right)$

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 $

$2$	−0.415415	−	0.909632i	−0.293743	−	0.643207i
$2$	−0.415415	−	0.909632i	−0.293743	−	0.643207i
$3$	−0.589310	+	0.173037i	−0.340238	+	0.0999030i	−0.447388	−	0.894340i	$-0.647646\pi$
$3$	−0.589310	+	0.173037i	−0.340238	+	0.0999030i	0.107150	+	0.994243i	$0.465828\pi$
$4$	−0.654861	+	0.755750i	−0.327430	+	0.377875i
$5$	3.36368	+	2.16170i	1.50428	+	0.966743i	0.994307	+	0.106554i	$0.0339818\pi$
$5$	3.36368	+	2.16170i	1.50428	+	0.966743i	0.509975	+	0.860189i	$0.329655\pi$
$6$	0.402208	+	0.464173i	0.164201	+	0.189498i
$7$	−0.142315	−	0.989821i	−0.0537900	−	0.374117i
$7$	−0.142315	−	0.989821i	−0.0537900	−	0.374117i
$8$	0.959493	+	0.281733i	0.339232	+	0.0996075i
$9$	−2.20642	+	1.41798i	−0.735472	+	0.472659i
$10$	0.569033	−	3.95771i	0.179944	−	1.25154i
$11$	−2.44410	+	5.35183i	−0.736923	+	1.61364i	0.0516265	+	0.998666i	$0.483559\pi$
$11$	−2.44410	+	5.35183i	−0.736923	+	1.61364i	−0.788550	+	0.614971i	$0.789168\pi$
$12$	0.255143	−	0.558686i	0.0736535	−	0.161279i
$13$	−0.0479052	+	0.333188i	−0.0132865	+	0.0924096i	−0.995386	−	0.0959549i	$-0.969410\pi$
$13$	−0.0479052	+	0.333188i	−0.0132865	+	0.0924096i	0.982099	+	0.188365i	$0.0603186\pi$
$14$	−0.841254	+	0.540641i	−0.224834	+	0.144492i
$15$	−2.35630	−	0.691873i	−0.608395	−	0.178641i
$16$	−0.142315	−	0.989821i	−0.0355787	−	0.247455i
$17$	1.96942	+	2.27283i	0.477654	+	0.551242i	0.942525	−	0.334137i	$-0.108445\pi$
$17$	1.96942	+	2.27283i	0.477654	+	0.551242i	−0.464871	+	0.885379i	$0.653899\pi$
$18$	2.20642	+	1.41798i	0.520057	+	0.334221i
$19$	0.686700	−	0.792494i	0.157540	−	0.181811i	−0.671492	−	0.741011i	$-0.734346\pi$
$19$	0.686700	−	0.792494i	0.157540	−	0.181811i	0.829032	+	0.559201i	$0.188892\pi$
$20$	−3.83645	+	1.12648i	−0.857856	+	0.251889i
$21$	0.255143	+	0.558686i	0.0556768	+	0.121915i
$22$	5.88351			1.25437
$23$	3.84244	−	2.86978i	0.801205	−	0.598390i
$23$	3.84244	−	2.86978i	0.801205	−	0.598390i
$24$	−0.614189			−0.125371
$25$	4.56428	+	9.99439i	0.912857	+	1.99888i
$26$	0.322979	−	0.0948351i	0.0633413	−	0.0185987i
$27$	2.26153	−	2.60994i	0.435231	−	0.502283i
$28$	0.841254	+	0.540641i	0.158982	+	0.102172i
$29$	−0.265910	−	0.306877i	−0.0493783	−	0.0569856i	0.730523	−	0.682888i	$-0.239276\pi$
$29$	−0.265910	−	0.306877i	−0.0493783	−	0.0569856i	−0.779901	+	0.625902i	$0.784731\pi$
$30$	0.349494	+	2.43078i	0.0638086	+	0.443798i
$31$	−2.86899	−	0.842410i	−0.515285	−	0.151301i	0.0137431	−	0.999906i	$-0.495625\pi$
$31$	−2.86899	−	0.842410i	−0.515285	−	0.151301i	−0.529028	+	0.848604i	$0.677443\pi$
$32$	−0.841254	+	0.540641i	−0.148714	+	0.0955727i
$33$	0.514267	−	3.57681i	0.0895224	−	0.622642i
$34$	1.24931	−	2.73561i	0.214255	−	0.469154i
$35$	1.66100	−	3.63708i	0.280760	−	0.614779i
$36$	0.373259	−	2.59608i	0.0622099	−	0.432679i
$37$	8.42515	−	5.41452i	1.38509	−	0.890141i	0.385616	−	0.922660i	$-0.373989\pi$
$37$	8.42515	−	5.41452i	1.38509	−	0.890141i	0.999471	+	0.0325184i	$0.0103528\pi$
$38$	−1.00614	−	0.295430i	−0.163218	−	0.0479251i
$39$	−0.0294228	−	0.204640i	−0.00471142	−	0.0327687i
$40$	2.61840	+	3.02180i	0.414006	+	0.477788i
$41$	9.04955	+	5.81579i	1.41330	+	0.908274i	0.999997	−	0.00231820i	$-0.000737908\pi$
$41$	9.04955	+	5.81579i	1.41330	+	0.908274i	0.413305	+	0.910593i	$0.364374\pi$
$42$	0.402208	−	0.464173i	0.0620621	−	0.0716235i
$43$	−2.61799	+	0.768712i	−0.399240	+	0.117227i	−0.475188	−	0.879884i	$-0.657620\pi$
$43$	−2.61799	+	0.768712i	−0.399240	+	0.117227i	0.0759479	+	0.997112i	$0.475802\pi$
$44$	−2.44410	−	5.35183i	−0.368462	−	0.806819i
$45$	−10.4869			−1.56330
$46$	−4.20665	−	2.30306i	−0.620237	−	0.339568i
$47$	−7.34349			−1.07116			−0.535579	−	0.844485i	$-0.679907\pi$
$47$	−7.34349			−1.07116			−0.535579	+	0.844485i	$0.679907\pi$
$48$	0.255143	+	0.558686i	0.0368268	+	0.0806394i
$49$	−0.959493	+	0.281733i	−0.137070	+	0.0402475i
$50$	7.19514	−	8.30364i	1.01755	−	1.17431i
$51$	−1.55388	−	0.998619i	−0.217587	−	0.139835i
$52$	−0.220435	−	0.254396i	−0.0305689	−	0.0352784i
$53$	−1.00734	−	7.00617i	−0.138368	−	0.962372i	−0.934174	−	0.356819i	$-0.883861\pi$
$53$	−1.00734	−	7.00617i	−0.138368	−	0.962372i	0.795805	−	0.605553i	$-0.207048\pi$
$54$	−3.31356	−	0.972948i	−0.450918	−	0.132401i
$55$	−19.7902	+	12.7184i	−2.66851	+	1.71495i
$56$	0.142315	−	0.989821i	0.0190176	−	0.132270i
$57$	−0.267548	+	0.585849i	−0.0354377	+	0.0775976i
$58$	−0.168682	+	0.369362i	−0.0221490	+	0.0484996i
$59$	1.65987	−	11.5446i	0.216096	−	1.50298i	−0.536163	−	0.844114i	$-0.680127\pi$
$59$	1.65987	−	11.5446i	0.216096	−	1.50298i	0.752259	−	0.658867i	$-0.228964\pi$
$60$	2.06593	−	1.32769i	0.266711	−	0.171405i
$61$	−5.30516	−	1.55774i	−0.679256	−	0.199448i	−0.0761353	−	0.997097i	$-0.524258\pi$
$61$	−5.30516	−	1.55774i	−0.679256	−	0.199448i	−0.603121	+	0.797650i	$0.706076\pi$
$62$	0.425537	+	2.95967i	0.0540432	+	0.375879i
$63$	1.71755	+	1.98216i	0.216391	+	0.249729i
$64$	0.841254	+	0.540641i	0.105157	+	0.0675801i
$65$	−0.881391	+	1.01718i	−0.109323	+	0.126166i
$66$	−3.46721	+	1.01807i	−0.426784	+	0.125315i
$67$	3.28277	+	7.18827i	0.401054	+	0.878187i	0.997162	+	0.0752823i	$0.0239858\pi$
$67$	3.28277	+	7.18827i	0.401054	+	0.878187i	−0.596108	+	0.802904i	$0.703287\pi$
$68$	−3.00738			−0.364699
$69$	−1.76781	+	2.35607i	−0.212820	+	0.283638i
$70$	−3.99841			−0.477901
$71$	−0.274591	−	0.601271i	−0.0325880	−	0.0713577i	0.892638	−	0.450774i	$-0.148852\pi$
$71$	−0.274591	−	0.601271i	−0.0325880	−	0.0713577i	−0.925226	+	0.379416i	$0.876125\pi$
$72$	−2.51653	+	0.738920i	−0.296576	+	0.0870826i
$73$	−10.9424	+	12.6282i	−1.28071	+	1.47802i	−0.482165	+	0.876080i	$0.660150\pi$
$73$	−10.9424	+	12.6282i	−1.28071	+	1.47802i	−0.798544	+	0.601937i	$0.794396\pi$
$74$	−8.42515	−	5.41452i	−0.979404	−	0.629425i
$75$	−4.41918	−	5.10000i	−0.510283	−	0.588898i
$76$	0.149234	+	1.03795i	0.0171183	+	0.119061i
$77$	5.64519	+	1.65758i	0.643329	+	0.188898i
$78$	−0.173925	+	0.111775i	−0.0196931	+	0.0126560i
$79$	1.36609	−	9.50139i	0.153698	−	1.06899i	−0.756255	−	0.654277i	$-0.772973\pi$
$79$	1.36609	−	9.50139i	0.153698	−	1.06899i	0.909952	−	0.414713i	$-0.136118\pi$
$80$	1.66100	−	3.63708i	0.185705	−	0.406638i
$81$	2.38749	−	5.22788i	0.265277	−	0.580876i
$82$	1.53091	−	10.6477i	0.169061	−	1.17585i
$83$	4.62483	−	2.97220i	0.507641	−	0.326241i	−0.261625	−	0.965170i	$-0.584258\pi$
$83$	4.62483	−	2.97220i	0.507641	−	0.326241i	0.769266	+	0.638929i	$0.220622\pi$
$84$	−0.589310	−	0.173037i	−0.0642990	−	0.0188799i
$85$	1.71130	+	11.9024i	0.185617	+	1.29099i
$86$	1.78680	+	2.06207i	0.192675	+	0.222359i
$87$	0.209805	+	0.134833i	0.0224934	+	0.0144556i
$88$	−3.85288	+	4.44646i	−0.410718	+	0.473994i
$89$	6.07175	−	1.78283i	0.643604	−	0.188979i	0.0563876	−	0.998409i	$-0.482042\pi$
$89$	6.07175	−	1.78283i	0.643604	−	0.188979i	0.587217	+	0.809430i	$0.300224\pi$
$90$	4.35642	+	9.53924i	0.459207	+	1.00552i
$91$	0.336614			0.0352867
$92$	−0.347431	+	4.78323i	−0.0362222	+	0.498686i
$93$	1.83649			0.190435
$94$	3.05060	+	6.67987i	0.314645	+	0.688976i
$95$	4.02297	−	1.18125i	0.412749	−	0.121194i
$96$	0.402208	−	0.464173i	0.0410502	−	0.0473745i
$97$	−2.44611	−	1.57202i	−0.248365	−	0.159614i	0.410536	−	0.911845i	$-0.365342\pi$
$97$	−2.44611	−	1.57202i	−0.248365	−	0.159614i	−0.658900	+	0.752230i	$0.728978\pi$
$98$	0.654861	+	0.755750i	0.0661509	+	0.0763422i
$99$	−2.19608	−	15.2740i	−0.220714	−	1.53510i
$100$	−10.5422	−	3.09548i	−1.05422	−	0.309548i
$101$	0.900662	−	0.578820i	0.0896192	−	0.0575947i	−0.495064	−	0.868857i	$-0.664855\pi$
$101$	0.900662	−	0.578820i	0.0896192	−	0.0575947i	0.584683	+	0.811262i	$0.301219\pi$
$102$	−0.262870	+	1.82830i	−0.0260280	+	0.181029i
$103$	2.51797	−	5.51359i	0.248103	−	0.543270i	−0.744076	−	0.668095i	$-0.767110\pi$
$103$	2.51797	−	5.51359i	0.248103	−	0.543270i	0.992179	+	0.124826i	$0.0398371\pi$
$104$	−0.139834	+	0.306195i	−0.0137119	+	0.0300249i
$105$	−0.349494	+	2.43078i	−0.0341071	+	0.237220i
$106$	−5.95458	+	3.82677i	−0.578359	+	0.371689i
$107$	4.38422	+	1.28732i	0.423839	+	0.124450i	0.486694	−	0.873572i	$-0.338203\pi$
$107$	4.38422	+	1.28732i	0.423839	+	0.124450i	−0.0628557	+	0.998023i	$0.520021\pi$
$108$	0.491476	+	3.41829i	0.0472923	+	0.328925i
$109$	−10.0570	−	11.6064i	−0.963289	−	1.11169i	−0.993690	−	0.112157i	$-0.964224\pi$
$109$	−10.0570	−	11.6064i	−0.963289	−	1.11169i	0.0304014	−	0.999538i	$-0.490321\pi$
$110$	19.7902	+	12.7184i	1.88692	+	1.21265i
$111$	−4.02812	+	4.64869i	−0.382332	+	0.441234i
$112$	−0.959493	+	0.281733i	−0.0906636	+	0.0266212i
$113$	1.51199	+	3.31080i	0.142236	+	0.311454i	0.967321	−	0.253555i	$-0.0815999\pi$
$113$	1.51199	+	3.31080i	0.142236	+	0.311454i	−0.825085	+	0.565009i	$0.808873\pi$
$114$	0.644051			0.0603209
$115$	19.1283	−	1.34678i	1.78373	−	0.125588i
$116$	0.406056			0.0377014
$117$	−0.366754	−	0.803079i	−0.0339064	−	0.0742447i
$118$	−11.1909	+	3.28594i	−1.03020	+	0.302495i
$119$	1.96942	−	2.27283i	0.180536	−	0.208350i
$120$	−2.06593	−	1.32769i	−0.188593	−	0.121201i
$121$	−15.4650	−	17.8475i	−1.40591	−	1.62250i
$122$	0.786877	+	5.47285i	0.0712405	+	0.495488i
$123$	−6.33934	−	1.86140i	−0.571599	−	0.167837i
$124$	2.51544	−	1.61657i	0.225893	−	0.145173i
$125$	−3.40696	+	23.6960i	−0.304728	+	2.11943i
$126$	1.08954	−	2.38576i	0.0970638	−	0.212540i
$127$	3.08166	−	6.74790i	0.273453	−	0.598779i	−0.722224	−	0.691659i	$-0.756880\pi$
$127$	3.08166	−	6.74790i	0.273453	−	0.598779i	0.995677	+	0.0928801i	$0.0296073\pi$
$128$	0.142315	−	0.989821i	0.0125790	−	0.0874887i
$129$	1.40979	−	0.906019i	0.124125	−	0.0797705i
$130$	1.29140	+	0.379190i	0.113263	+	0.0332571i
$131$	−1.50878	−	10.4938i	−0.131823	−	0.916847i	−0.943177	−	0.332292i	$-0.892178\pi$
$131$	−1.50878	−	10.4938i	−0.131823	−	0.916847i	0.811354	−	0.584555i	$-0.198731\pi$
$132$	2.36640	+	2.73097i	0.205968	+	0.237700i
$133$	−0.882155	−	0.566927i	−0.0764926	−	0.0491588i
$134$	5.17497	−	5.97223i	0.447049	−	0.515922i
$135$	13.2490	−	3.89024i	1.14029	−	0.334819i
$136$	1.24931	+	2.73561i	0.107128	+	0.234577i
$137$	9.57402			0.817964			0.408982	−	0.912543i	$-0.365884\pi$
$137$	9.57402			0.817964			0.408982	+	0.912543i	$0.365884\pi$
$138$	2.87754	+	0.629310i	0.244952	+	0.0535704i
$139$	−11.8939			−1.00883			−0.504413	−	0.863462i	$-0.668291\pi$
$139$	−11.8939			−1.00883			−0.504413	+	0.863462i	$0.668291\pi$
$140$	1.66100	+	3.63708i	0.140380	+	0.307390i
$141$	4.32759	−	1.27070i	0.364449	−	0.107012i
$142$	−0.432866	+	0.499554i	−0.0363253	+	0.0419216i
$143$	−1.66608	−	1.07072i	−0.139324	−	0.0895384i
$144$	1.71755	+	1.98216i	0.143129	+	0.165180i
$145$	−0.231060	−	1.60705i	−0.0191884	−	0.133459i
$146$	16.0326	+	4.70760i	1.32687	+	0.389604i
$147$	0.516689	−	0.332056i	0.0426158	−	0.0273875i
$148$	−1.42528	+	9.91306i	−0.117158	+	0.814849i
$149$	4.72454	−	10.3453i	0.387049	−	0.847519i	−0.611372	−	0.791344i	$-0.709382\pi$
$149$	4.72454	−	10.3453i	0.387049	−	0.847519i	0.998421	−	0.0561758i	$-0.0178907\pi$
$150$	−2.80333	+	6.13844i	−0.228891	+	0.501202i
$151$	−2.94538	+	20.4856i	−0.239691	+	1.66709i	0.413960	+	0.910295i	$0.364145\pi$
$151$	−2.94538	+	20.4856i	−0.239691	+	1.66709i	−0.653652	+	0.756796i	$0.726764\pi$
$152$	0.882155	−	0.566927i	0.0715522	−	0.0459838i
$153$	−7.56817	−	2.22222i	−0.611851	−	0.179656i
$154$	−0.837311	−	5.82362i	−0.0674724	−	0.469281i
$155$	−7.82930	−	9.03550i	−0.628865	−	0.725748i
$156$	0.173925	+	0.111775i	0.0139251	+	0.00894913i
$157$	3.16323	−	3.65057i	0.252453	−	0.291347i	−0.615350	−	0.788254i	$-0.710985\pi$
$157$	3.16323	−	3.65057i	0.252453	−	0.291347i	0.867804	+	0.496907i	$0.165531\pi$
$158$	−9.21027	+	2.70438i	−0.732729	+	0.215149i
$159$	1.80596	+	3.95450i	0.143222	+	0.313612i
$160$	−3.99841			−0.316102
$161$	−3.38741	−	3.39492i	−0.266965	−	0.267557i
$162$	−5.74725			−0.451546
$163$	6.83732	+	14.9716i	0.535540	+	1.17267i	0.963214	+	0.268736i	$0.0866060\pi$
$163$	6.83732	+	14.9716i	0.535540	+	1.17267i	−0.427674	+	0.903933i	$0.640667\pi$
$164$	−10.3215	+	3.03066i	−0.805972	+	0.236655i
$165$	9.46182	−	10.9195i	0.736602	−	0.850084i
$166$	−4.62483	−	2.97220i	−0.358956	−	0.230687i
$167$	2.26098	+	2.60931i	0.174960	+	0.201915i	0.836456	−	0.548034i	$-0.184624\pi$
$167$	2.26098	+	2.60931i	0.174960	+	0.201915i	−0.661496	+	0.749949i	$0.730078\pi$
$168$	0.0874082	+	0.607937i	0.00674369	+	0.0469034i
$169$	12.3647	+	3.63060i	0.951130	+	0.279277i
$170$	10.1159	−	6.50107i	0.775851	−	0.498609i
$171$	−0.391407	+	2.72230i	−0.0299317	+	0.208179i
$172$	1.13347	−	2.48195i	0.0864260	−	0.189247i
$173$	−5.96662	+	13.0651i	−0.453633	+	0.993319i	0.535259	+	0.844688i	$0.320214\pi$
$173$	−5.96662	+	13.0651i	−0.453633	+	0.993319i	−0.988893	+	0.148631i	$0.952513\pi$
$174$	0.0354927	−	0.246857i	0.00269069	−	0.0187142i
$175$	9.24309	−	5.94017i	0.698712	−	0.449035i
$176$	5.64519	+	1.65758i	0.425522	+	0.124945i
$177$	1.01947	+	7.09058i	0.0766281	+	0.532960i
$178$	−4.14401	−	4.78245i	−0.310607	−	0.358460i
$179$	19.7306	+	12.6801i	1.47474	+	0.947755i	0.997623	+	0.0689138i	$0.0219533\pi$
$179$	19.7306	+	12.6801i	1.47474	+	0.947755i	0.477114	+	0.878842i	$0.341683\pi$
$180$	6.86747	−	7.92548i	0.511871	−	0.590731i
$181$	−1.98054	+	0.581538i	−0.147212	+	0.0432254i	−0.354508	−	0.935053i	$-0.615352\pi$
$181$	−1.98054	+	0.581538i	−0.147212	+	0.0432254i	0.207296	+	0.978278i	$0.433534\pi$
$182$	−0.139834	−	0.306195i	−0.0103652	−	0.0226967i
$183$	3.39593			0.251034
$184$	4.49531	−	1.67099i	0.331398	−	0.123187i
$185$	40.0441			2.94410
$186$	−0.762906	−	1.67053i	−0.0559390	−	0.122489i
$187$	−16.9772	+	4.98497i	−1.24150	+	0.364537i
$188$	4.80896	−	5.54984i	0.350730	−	0.404764i
$189$	−2.90522	−	1.86707i	−0.211324	−	0.135810i
$190$	−2.74571	−	3.16872i	−0.199195	−	0.229883i
$191$	0.673759	+	4.68610i	0.0487515	+	0.339074i	0.999570	+	0.0293253i	$0.00933587\pi$
$191$	0.673759	+	4.68610i	0.0487515	+	0.339074i	−0.950818	+	0.309749i	$0.899755\pi$
$192$	−0.589310	−	0.173037i	−0.0425298	−	0.0124879i
$193$	9.66433	−	6.21088i	0.695653	−	0.447069i	−0.144438	−	0.989514i	$-0.546138\pi$
$193$	9.66433	−	6.21088i	0.695653	−	0.447069i	0.840092	+	0.542445i	$0.182501\pi$
$194$	−0.413808	+	2.87810i	−0.0297097	+	0.206635i
$195$	0.343403	−	0.751947i	0.0245916	−	0.0538480i
$196$	0.415415	−	0.909632i	0.0296725	−	0.0649737i
$197$	2.72648	−	18.9631i	0.194254	−	1.35107i	−0.626338	−	0.779552i	$-0.715447\pi$
$197$	2.72648	−	18.9631i	0.194254	−	1.35107i	0.820592	−	0.571515i	$-0.193644\pi$
$198$	−12.9815	+	8.34269i	−0.922553	+	0.592889i
$199$	9.12405	+	2.67906i	0.646787	+	0.189914i	0.588641	−	0.808394i	$-0.299663\pi$
$199$	9.12405	+	2.67906i	0.646787	+	0.189914i	0.0581456	+	0.998308i	$0.481481\pi$
$200$	1.56365	+	10.8755i	0.110567	+	0.769010i
$201$	−3.17841	−	3.66808i	−0.224188	−	0.258726i
$202$	−0.900662	−	0.578820i	−0.0633703	−	0.0407256i
$203$	−0.265910	+	0.306877i	−0.0186632	+	0.0215385i
$204$	1.77228	−	0.520389i	0.124085	−	0.0364345i
$205$	17.8677	+	39.1249i	1.24794	+	2.73260i
$206$	−6.06134			−0.422313
$207$	−4.40875	+	11.7804i	−0.306429	+	0.818796i
$208$	0.336614			0.0233400
$209$	2.56293	+	5.61204i	0.177282	+	0.388193i
$210$	2.35630	−	0.691873i	0.162600	−	0.0477438i
$211$	2.77185	−	3.19888i	0.190822	−	0.220220i	−0.652274	−	0.757983i	$-0.726185\pi$
$211$	2.77185	−	3.19888i	0.190822	−	0.220220i	0.843096	+	0.537763i	$0.180730\pi$
$212$	5.95458	+	3.82677i	0.408962	+	0.262824i
$213$	0.265862	+	0.306821i	0.0182165	+	0.0210230i
$214$	−0.650280	−	4.52280i	−0.0444523	−	0.309172i
$215$	−10.4678	−	3.07362i	−0.713898	−	0.209619i
$216$	2.90522	−	1.86707i	0.197675	−	0.127038i
$217$	−0.425537	+	2.95967i	−0.0288873	+	0.200916i
$218$	−6.37974	+	13.9697i	−0.432091	+	0.946147i
$219$	4.26331	−	9.33535i	0.288088	−	0.630825i
$220$	3.34791	−	23.2852i	0.225716	−	1.56989i
$221$	−0.851624	+	0.547305i	−0.0572864	+	0.0368157i
$222$	5.90194	+	1.73297i	0.396112	+	0.116309i
$223$	−3.24330	−	22.5577i	−0.217188	−	1.51057i	−0.748350	−	0.663304i	$-0.769154\pi$
$223$	−3.24330	−	22.5577i	−0.217188	−	1.51057i	0.531163	−	0.847270i	$-0.321755\pi$
$224$	0.654861	+	0.755750i	0.0437547	+	0.0504956i
$225$	−24.2425	−	15.5797i	−1.61617	−	1.03865i
$226$	2.38351	−	2.75071i	0.158548	−	0.182975i
$227$	−22.9279	+	6.73225i	−1.52178	+	0.446835i	−0.932523	−	0.361110i	$-0.882398\pi$
$227$	−22.9279	+	6.73225i	−1.52178	+	0.446835i	−0.589257	+	0.807945i	$0.700580\pi$
$228$	−0.267548	−	0.585849i	−0.0177188	−	0.0387988i
$229$	−18.3603			−1.21328			−0.606641	−	0.794976i	$-0.707483\pi$
$229$	−18.3603			−1.21328			−0.606641	+	0.794976i	$0.707483\pi$
$230$	−9.17128	−	16.8403i	−0.604736	−	1.11042i
$231$	−3.61359			−0.237757
$232$	−0.168682	−	0.369362i	−0.0110745	−	0.0242498i
$233$	7.12185	−	2.09116i	0.466568	−	0.136997i	−0.0399946	−	0.999200i	$-0.512734\pi$
$233$	7.12185	−	2.09116i	0.466568	−	0.136997i	0.506563	+	0.862203i	$0.330916\pi$
$234$	−0.578151	+	0.667222i	−0.0377949	+	0.0436177i
$235$	−24.7011	−	15.8744i	−1.61132	−	1.03553i
$236$	7.63786	+	8.81456i	0.497182	+	0.573779i
$237$	0.839040	+	5.83565i	0.0545015	+	0.379066i
$238$	−2.88556	−	0.847278i	−0.187043	−	0.0549209i
$239$	−4.15041	+	2.66730i	−0.268467	+	0.172534i	−0.667948	−	0.744208i	$-0.732827\pi$
$239$	−4.15041	+	2.66730i	−0.268467	+	0.172534i	0.399480	+	0.916742i	$0.369191\pi$
$240$	−0.349494	+	2.43078i	−0.0225597	+	0.156906i
$241$	−10.9807	+	24.0445i	−0.707331	+	1.54884i	0.123518	+	0.992342i	$0.460582\pi$
$241$	−10.9807	+	24.0445i	−0.707331	+	1.54884i	−0.830850	+	0.556497i	$0.812145\pi$
$242$	−9.81031	+	21.4816i	−0.630631	+	1.38089i
$243$	−1.97679	+	13.7488i	−0.126811	+	0.881989i
$244$	4.65140	−	2.98927i	0.297775	−	0.191369i
$245$	−3.83645	−	1.12648i	−0.245102	−	0.0719683i
$246$	0.940270	+	6.53972i	0.0599494	+	0.416957i
$247$	0.231153	+	0.266765i	0.0147079	+	0.0169738i
$248$	−2.51544	−	1.61657i	−0.159730	−	0.102653i
$249$	−2.21116	+	2.55181i	−0.140126	+	0.161714i
$250$	22.9699	−	6.74457i	1.45274	−	0.426564i
$251$	−3.20711	−	7.02260i	−0.202431	−	0.443263i	0.781003	−	0.624527i	$-0.214708\pi$
$251$	−3.20711	−	7.02260i	−0.202431	−	0.443263i	−0.983434	+	0.181264i	$0.941981\pi$
$252$	−2.62277			−0.165219
$253$	5.96726	+	27.5781i	0.375158	+	1.73382i
$254$	−7.41827			−0.465464
$255$	−3.06804	−	6.71806i	−0.192128	−	0.420701i
$256$	−0.959493	+	0.281733i	−0.0599683	+	0.0176083i
$257$	−1.53099	+	1.76686i	−0.0955006	+	0.110214i	−0.801488	−	0.598011i	$-0.795958\pi$
$257$	−1.53099	+	1.76686i	−0.0955006	+	0.110214i	0.705987	+	0.708224i	$0.250503\pi$
$258$	−1.40979	−	0.906019i	−0.0877699	−	0.0564063i
$259$	−6.55843	−	7.56883i	−0.407521	−	0.470304i
$260$	−0.191544	−	1.33222i	−0.0118791	−	0.0826208i
$261$	1.02185	+	0.300043i	0.0632511	+	0.0185722i
$262$	−8.91872	+	5.73171i	−0.551000	+	0.354106i
$263$	−1.34242	+	9.33670i	−0.0827769	+	0.575726i	0.905650	+	0.424026i	$0.139384\pi$
$263$	−1.34242	+	9.33670i	−0.0827769	+	0.575726i	−0.988427	+	0.151699i	$0.951525\pi$
$264$	1.50114	−	3.28703i	0.0923887	−	0.202303i
$265$	11.7569	−	25.7441i	0.722222	−	1.58144i
$266$	−0.149234	+	1.03795i	−0.00915014	+	0.0636406i
$267$	−3.26965	+	2.10128i	−0.200099	+	0.128596i
$268$	−7.58229	−	2.22636i	−0.463162	−	0.135997i
$269$	−3.43957	−	23.9227i	−0.209714	−	1.45860i	−0.774089	−	0.633076i	$-0.781792\pi$
$269$	−3.43957	−	23.9227i	−0.209714	−	1.45860i	0.564375	−	0.825519i	$-0.309117\pi$
$270$	−9.04251	−	10.4356i	−0.550309	−	0.635091i
$271$	17.5274	+	11.2642i	1.06471	+	0.684250i	0.950977	−	0.309261i	$-0.100082\pi$
$271$	17.5274	+	11.2642i	1.06471	+	0.684250i	0.113736	+	0.993511i	$0.463718\pi$
$272$	1.96942	−	2.27283i	0.119413	−	0.137810i
$273$	−0.198370	+	0.0582467i	−0.0120059	+	0.00352525i
$274$	−3.97719	−	8.70883i	−0.240271	−	0.526120i
$275$	−64.6438			−3.89817
$276$	−0.622931	−	2.87892i	−0.0374961	−	0.173291i
$277$	25.1657			1.51206			0.756032	−	0.654535i	$-0.227136\pi$
$277$	25.1657			1.51206			0.756032	+	0.654535i	$0.227136\pi$
$278$	4.94090	+	10.8191i	0.296336	+	0.648884i
$279$	7.52470	−	2.20945i	0.450492	−	0.132276i
$280$	2.61840	−	3.02180i	0.156479	−	0.180587i
$281$	−20.3808	−	13.0979i	−1.21582	−	0.781358i	−0.234194	−	0.972190i	$-0.575245\pi$
$281$	−20.3808	−	13.0979i	−1.21582	−	0.781358i	−0.981623	+	0.190832i	$0.938881\pi$
$282$	−2.95361	−	3.40865i	−0.175885	−	0.202982i
$283$	2.35155	+	16.3554i	0.139785	+	0.972229i	0.932122	+	0.362145i	$0.117955\pi$
$283$	2.35155	+	16.3554i	0.139785	+	0.972229i	−0.792336	+	0.610084i	$0.791136\pi$
$284$	0.634229	+	0.186227i	0.0376346	+	0.0110505i
$285$	−2.16638	+	1.39225i	−0.128325	+	0.0824696i
$286$	−0.281850	+	1.96031i	−0.0166662	+	0.115916i
$287$	4.46871	−	9.78511i	0.263780	−	0.577597i
$288$	1.08954	−	2.38576i	0.0642017	−	0.140582i
$289$	1.13221	−	7.87467i	0.0666004	−	0.463216i
$290$	−1.36584	+	0.877774i	−0.0802050	+	0.0515446i
$291$	1.71353	+	0.503139i	0.100449	+	0.0294945i
$292$	−2.37801	−	16.5394i	−0.139162	−	0.967895i
$293$	−4.41740	−	5.09795i	−0.258067	−	0.297826i	0.611900	−	0.790935i	$-0.290406\pi$
$293$	−4.41740	−	5.09795i	−0.258067	−	0.297826i	−0.869967	+	0.493110i	$0.835860\pi$
$294$	−0.516689	−	0.332056i	−0.0301339	−	0.0193659i
$295$	30.5393	−	35.2442i	1.77807	−	2.05200i
$296$	9.60932	−	2.82155i	0.558530	−	0.163999i
$297$	8.44056	+	18.4822i	0.489771	+	1.07245i
$298$	−11.3731			−0.658823
$299$	0.772102	+	1.41773i	0.0446518	+	0.0819896i
$300$	6.74827			0.389612
$301$	1.13347	+	2.48195i	0.0653319	+	0.143057i
$302$	19.8579	−	5.83080i	1.14269	−	0.335525i
$303$	−0.430612	+	0.496952i	−0.0247380	+	0.0285492i
$304$	−0.882155	−	0.566927i	−0.0505951	−	0.0325155i
$305$	−14.4775	−	16.7079i	−0.828978	−	0.956692i
$306$	1.12253	+	7.80739i	0.0641710	+	0.446319i
$307$	−22.8019	−	6.69523i	−1.30137	−	0.382117i	−0.443635	−	0.896208i	$-0.646311\pi$
$307$	−22.8019	−	6.69523i	−1.30137	−	0.382117i	−0.857736	+	0.514091i	$0.828129\pi$
$308$	−4.94952	+	3.18087i	−0.282025	+	0.181247i
$309$	−0.529811	+	3.68491i	−0.0301399	+	0.209627i
$310$	−4.96657	+	10.8753i	−0.282082	+	0.617673i
$311$	6.71434	−	14.7024i	0.380735	−	0.833694i	−0.618130	−	0.786076i	$-0.712110\pi$
$311$	6.71434	−	14.7024i	0.380735	−	0.833694i	0.998866	−	0.0476184i	$-0.0151631\pi$
$312$	0.0294228	−	0.204640i	0.00166574	−	0.0115855i
$313$	3.70130	−	2.37868i	0.209210	−	0.134451i	−0.431840	−	0.901950i	$-0.642136\pi$
$313$	3.70130	−	2.37868i	0.209210	−	0.134451i	0.641050	+	0.767499i	$0.278499\pi$
$314$	−4.63473	−	1.36088i	−0.261553	−	0.0767988i
$315$	1.49244	+	10.3802i	0.0840897	+	0.584857i
$316$	6.28607	+	7.25451i	0.353619	+	0.408098i
$317$	14.8191	+	9.52368i	0.832326	+	0.534903i	0.886016	−	0.463654i	$-0.153462\pi$
$317$	14.8191	+	9.52368i	0.832326	+	0.534903i	−0.0536904	+	0.998558i	$0.517098\pi$
$318$	2.84692	−	3.28552i	0.159647	−	0.184243i
$319$	2.29226	−	0.673069i	0.128342	−	0.0376847i
$320$	1.66100	+	3.63708i	0.0928527	+	0.203319i
$321$	−2.80642			−0.156639
$322$	−1.68095	+	4.49159i	−0.0936756	+	0.250307i
$323$	3.15360			0.175471
$324$	2.38749	+	5.22788i	0.132638	+	0.290438i
$325$	−3.54866	+	1.04198i	−0.196844	+	0.0577987i
$326$	10.7784	−	12.4389i	0.596958	−	0.688926i
$327$	7.93505	+	5.09955i	0.438810	+	0.282006i
$328$	7.04448	+	8.12977i	0.388966	+	0.448891i
$329$	1.04509	+	7.26874i	0.0576175	+	0.400739i
$330$	−13.8633	−	4.07064i	−0.763152	−	0.224082i
$331$	−1.35567	+	0.871234i	−0.0745142	+	0.0478873i	−0.577367	−	0.816484i	$-0.695920\pi$
$331$	−1.35567	+	0.871234i	−0.0745142	+	0.0478873i	0.502853	+	0.864372i	$0.332284\pi$
$332$	−0.782382	+	5.44159i	−0.0429388	+	0.298646i
$333$	−10.9117	+	23.8934i	−0.597959	+	1.30935i
$334$	1.43427	−	3.14061i	0.0784796	−	0.171846i
$335$	−4.49672	+	31.2754i	−0.245682	+	1.70876i
$336$	0.516689	−	0.332056i	0.0281877	−	0.0181151i
$337$	12.6689	+	3.71993i	0.690121	+	0.202638i	0.607944	−	0.793980i	$-0.291995\pi$
$337$	12.6689	+	3.71993i	0.690121	+	0.202638i	0.0821770	+	0.996618i	$0.473813\pi$
$338$	−1.83397	−	12.7555i	−0.0997547	−	0.693809i
$339$	−1.46392	−	1.68946i	−0.0795094	−	0.0917587i
$340$	−10.1159	−	6.50107i	−0.548610	−	0.352570i
$341$	11.5205	−	13.2954i	0.623871	−	0.719986i
$342$	2.63888	−	0.774847i	0.142695	−	0.0418989i
$343$	0.415415	+	0.909632i	0.0224303	+	0.0491155i
$344$	−2.72852			−0.147112
$345$	−11.0395	+	4.10359i	−0.594346	+	0.220930i
$346$	14.3630			0.772161
$347$	−11.2350	−	24.6012i	−0.603127	−	1.32066i	−0.927177	−	0.374624i	$-0.877772\pi$
$347$	−11.2350	−	24.6012i	−0.603127	−	1.32066i	0.324050	−	0.946040i	$-0.394956\pi$
$348$	−0.239293	+	0.0702628i	−0.0128275	+	0.00376648i
$349$	15.8824	−	18.3292i	0.850163	−	0.981141i	−0.149808	−	0.988715i	$-0.547866\pi$
$349$	15.8824	−	18.3292i	0.850163	−	0.981141i	0.999971	+	0.00757430i	$0.00241100\pi$
$350$	−9.24309	−	5.94017i	−0.494064	−	0.317516i
$351$	0.761261	+	0.878542i	0.0406331	+	0.0468931i
$352$	−0.837311	−	5.82362i	−0.0446288	−	0.310400i
$353$	14.6591	+	4.30431i	0.780227	+	0.229095i	0.647508	−	0.762058i	$-0.275811\pi$
$353$	14.6591	+	4.30431i	0.780227	+	0.229095i	0.132719	+	0.991154i	$0.457629\pi$
$354$	6.02631	−	3.87288i	0.320295	−	0.205841i
$355$	0.376134	−	2.61607i	0.0199631	−	0.138846i
$356$	−2.62878	+	5.75623i	−0.139325	+	0.305079i
$357$	−0.767314	+	1.68018i	−0.0406106	+	0.0889247i
$358$	3.33783	−	23.2151i	0.176410	−	1.22696i
$359$	15.6927	−	10.0851i	0.828229	−	0.532270i	−0.0564857	−	0.998403i	$-0.517990\pi$
$359$	15.6927	−	10.0851i	0.828229	−	0.532270i	0.884715	+	0.466133i	$0.154353\pi$
$360$	−10.0621	−	2.95451i	−0.530321	−	0.155716i
$361$	2.54749	+	17.7182i	0.134079	+	0.932537i
$362$	1.35173	+	1.55998i	0.0710453	+	0.0819907i
$363$	12.2020	+	7.84172i	0.640437	+	0.411584i
$364$	−0.220435	+	0.254396i	−0.0115539	+	0.0133340i
$365$	−64.1050	+	18.8229i	−3.35541	+	0.985237i
$366$	−1.41072	−	3.08905i	−0.0737395	−	0.161467i
$367$	5.04822			0.263515			0.131757	−	0.991282i	$-0.457938\pi$
$367$	5.04822			0.263515			0.131757	+	0.991282i	$0.457938\pi$
$368$	−3.38741	−	3.39492i	−0.176581	−	0.176972i
$369$	−28.2137			−1.46875
$370$	−16.6349	−	36.4254i	−0.864808	−	1.89366i
$371$	−6.79150	+	1.99416i	−0.352597	+	0.103532i
$372$	−1.20265	+	1.38793i	−0.0623543	+	0.0719607i
$373$	−4.18008	−	2.68637i	−0.216436	−	0.139095i	0.427931	−	0.903812i	$-0.359243\pi$
$373$	−4.18008	−	2.68637i	−0.216436	−	0.139095i	−0.644367	+	0.764716i	$0.722879\pi$
$374$	11.5871	+	13.3722i	0.599154	+	0.691461i
$375$	−2.09252	−	14.5538i	−0.108057	−	0.751555i
$376$	−7.04603	−	2.06890i	−0.363371	−	0.106695i
$377$	0.114986	−	0.0738971i	0.00592209	−	0.00380589i
$378$	−0.491476	+	3.41829i	−0.0252788	+	0.175818i
$379$	−13.3928	+	29.3261i	−0.687940	+	1.50638i	0.166065	+	0.986115i	$0.446894\pi$
$379$	−13.3928	+	29.3261i	−0.687940	+	1.50638i	−0.854006	+	0.520264i	$0.825834\pi$
$380$	−1.74176	+	3.81392i	−0.0893503	+	0.195650i
$381$	−0.648418	+	4.50985i	−0.0332195	+	0.231046i
$382$	3.98273	−	2.55955i	0.203774	−	0.130958i
$383$	26.4222	+	7.75825i	1.35011	+	0.396428i	0.875266	−	0.483642i	$-0.160686\pi$
$383$	26.4222	+	7.75825i	1.35011	+	0.396428i	0.474844	+	0.880070i	$0.342505\pi$
$384$	0.0874082	+	0.607937i	0.00446053	+	0.0310237i
$385$	15.4054	+	17.7788i	0.785132	+	0.906090i
$386$	−9.66433	−	6.21088i	−0.491901	−	0.316126i
$387$	4.68636	−	5.40835i	0.238221	−	0.274922i
$388$	2.78991	−	0.819192i	0.141636	−	0.0415882i
$389$	−10.8886	−	23.8427i	−0.552074	−	1.20887i	−0.955807	−	0.293996i	$-0.905015\pi$
$389$	−10.8886	−	23.8427i	−0.552074	−	1.20887i	0.403733	−	0.914877i	$-0.367712\pi$
$390$	−0.826650			−0.0418590
$391$	14.0899	+	3.08142i	0.712556	+	0.155834i
$392$	−1.00000			−0.0505076
$393$	2.70495	+	5.92302i	0.136447	+	0.298777i
$394$	−18.3821	+	5.39747i	−0.926076	+	0.271920i
$395$	25.1343	−	29.0065i	1.26464	−	1.45948i
$396$	12.9815	+	8.34269i	0.652343	+	0.419236i
$397$	−22.2442	−	25.6712i	−1.11641	−	1.28840i	−0.953378	−	0.301779i	$-0.902420\pi$
$397$	−22.2442	−	25.6712i	−1.11641	−	1.28840i	−0.163027	−	0.986622i	$-0.552126\pi$
$398$	−1.35331	−	9.41245i	−0.0678351	−	0.471804i
$399$	0.617962	+	0.181450i	0.0309368	+	0.00908387i
$400$	9.24309	−	5.94017i	0.462155	−	0.297009i
$401$	0.313308	−	2.17910i	0.0156459	−	0.108819i	−0.980502	−	0.196509i	$-0.937039\pi$
$401$	0.313308	−	2.17910i	0.0156459	−	0.108819i	0.996148	+	0.0876900i	$0.0279485\pi$
$402$	−2.01624	+	4.41496i	−0.100561	+	0.220198i
$403$	0.418120	−	0.915555i	0.0208280	−	0.0456070i
$404$	−0.152365	+	1.05972i	−0.00758044	+	0.0527231i
$405$	19.3319	−	12.4238i	0.960609	−	0.617346i
$406$	0.389608	+	0.114399i	0.0193359	+	0.00567754i
$407$	8.38567	+	58.3236i	0.415662	+	2.89099i
$408$	−1.20959	−	1.39595i	−0.0598838	−	0.0691096i
$409$	−23.5885	−	15.1594i	−1.16638	−	0.749585i	−0.193543	−	0.981092i	$-0.561998\pi$
$409$	−23.5885	−	15.1594i	−1.16638	−	0.749585i	−0.972833	+	0.231507i	$0.925634\pi$
$410$	28.1667	−	32.5061i	1.39106	−	1.60536i
$411$	−5.64207	+	1.65666i	−0.278303	+	0.0817170i
$412$	2.51797	+	5.51359i	0.124051	+	0.271635i
$413$	−11.6633			−0.573915
$414$	12.5473	−	0.883428i	0.616667	−	0.0434181i
$415$	21.9814			1.07903
$416$	−0.139834	−	0.306195i	−0.00685595	−	0.0150124i
$417$	7.00919	−	2.05808i	0.343242	−	0.100785i
$418$	4.04021	−	4.66265i	0.197613	−	0.228058i
$419$	3.82519	+	2.45830i	0.186873	+	0.120096i	0.630732	−	0.776001i	$-0.282755\pi$
$419$	3.82519	+	2.45830i	0.186873	+	0.120096i	−0.443859	+	0.896096i	$0.646391\pi$
$420$	−1.60819	−	1.85595i	−0.0784718	−	0.0905613i
$421$	0.238350	+	1.65776i	0.0116165	+	0.0807944i	0.994805	−	0.101799i	$-0.0324599\pi$
$421$	0.238350	+	1.65776i	0.0116165	+	0.0807944i	−0.983189	+	0.182593i	$0.941551\pi$
$422$	−4.06127	−	1.19250i	−0.197700	−	0.0580499i
$423$	16.2028	−	10.4129i	0.787807	−	0.506293i
$424$	1.00734	−	7.00617i	0.0489205	−	0.340250i
$425$	−13.7265	+	30.0569i	−0.665835	+	1.45798i
$426$	0.168651	−	0.369294i	0.00817117	−	0.0178924i
$427$	−0.786877	+	5.47285i	−0.0380796	+	0.264850i
$428$	−3.84395	+	2.47035i	−0.185804	+	0.119409i
$429$	1.16711	+	0.342695i	0.0563487	+	0.0165455i
$430$	1.55262	+	10.7987i	0.0748738	+	0.520759i
$431$	1.62426	+	1.87450i	0.0782380	+	0.0902914i	0.793519	−	0.608546i	$-0.208247\pi$
$431$	1.62426	+	1.87450i	0.0782380	+	0.0902914i	−0.715281	+	0.698837i	$0.753701\pi$
$432$	−2.90522	−	1.86707i	−0.139778	−	0.0898296i
$433$	5.96364	−	6.88241i	0.286594	−	0.330747i	−0.594137	−	0.804364i	$-0.702506\pi$
$433$	5.96364	−	6.88241i	0.286594	−	0.330747i	0.880731	+	0.473617i	$0.157052\pi$
$434$	2.86899	−	0.842410i	0.137716	−	0.0404370i
$435$	0.414246	+	0.907071i	0.0198616	+	0.0434907i
$436$	15.3575			0.735492
$437$	0.364323	−	5.01579i	0.0174279	−	0.239938i
$438$	−10.2628			−0.490375
$439$	−4.08946	−	8.95466i	−0.195179	−	0.427383i	0.786586	−	0.617481i	$-0.211847\pi$
$439$	−4.08946	−	8.95466i	−0.195179	−	0.427383i	−0.981765	+	0.190098i	$0.939119\pi$
$440$	−22.5718	+	6.62767i	−1.07607	+	0.315962i
$441$	1.71755	−	1.98216i	0.0817881	−	0.0943885i
$442$	0.851624	+	0.547305i	0.0405076	+	0.0260327i
$443$	25.8512	+	29.8339i	1.22823	+	1.41745i	0.876538	+	0.481333i	$0.159847\pi$
$443$	25.8512	+	29.8339i	1.22823	+	1.41745i	0.351689	+	0.936117i	$0.385607\pi$
$444$	−0.875393	−	6.08849i	−0.0415443	−	0.288947i
$445$	24.2774	+	7.12848i	1.15086	+	0.337922i
$446$	−19.1719	+	12.3210i	−0.907814	+	0.583417i
$447$	−0.994098	+	6.91410i	−0.0470192	+	0.327026i
$448$	0.415415	−	0.909632i	0.0196265	−	0.0429761i
$449$	−1.17865	+	2.58089i	−0.0556240	+	0.121800i	−0.935403	−	0.353583i	$-0.884963\pi$
$449$	−1.17865	+	2.58089i	−0.0556240	+	0.121800i	0.879779	+	0.475383i	$0.157690\pi$
$450$	−4.10111	+	28.5238i	−0.193328	+	1.34463i
$451$	−53.2431	+	34.2173i	−2.50712	+	1.61123i
$452$	−3.49228	−	1.02543i	−0.164263	−	0.0482320i
$453$	−1.80902	−	12.5820i	−0.0849951	−	0.591154i
$454$	15.6485	+	18.0593i	0.734419	+	0.847565i
$455$	1.13226	+	0.727660i	0.0530812	+	0.0341132i
$456$	−0.421764	+	0.486741i	−0.0197509	+	0.0227937i
$457$	−7.47735	+	2.19555i	−0.349776	+	0.102703i	−0.451901	−	0.892068i	$-0.649254\pi$
$457$	−7.47735	+	2.19555i	−0.349776	+	0.102703i	0.102125	+	0.994772i	$0.467436\pi$
$458$	7.62713	+	16.7011i	0.356393	+	0.780391i
$459$	10.3858			0.484769
$460$	−11.5086	+	15.3382i	−0.536590	+	0.715147i
$461$	12.7090			0.591915			0.295957	−	0.955201i	$-0.404361\pi$
$461$	12.7090			0.591915			0.295957	+	0.955201i	$0.404361\pi$
$462$	1.50114	+	3.28703i	0.0698393	+	0.152927i
$463$	−2.19663	+	0.644989i	−0.102086	+	0.0299752i	−0.332377	−	0.943147i	$-0.607851\pi$
$463$	−2.19663	+	0.644989i	−0.102086	+	0.0299752i	0.230291	+	0.973122i	$0.426032\pi$
$464$	−0.265910	+	0.306877i	−0.0123446	+	0.0142464i
$465$	6.17736	+	3.96995i	0.286468	+	0.184102i
$466$	−4.86071	−	5.60956i	−0.225168	−	0.259858i
$467$	5.44576	+	37.8761i	0.252000	+	1.75270i	0.586174	+	0.810185i	$0.300634\pi$
$467$	5.44576	+	37.8761i	0.252000	+	1.75270i	−0.334174	+	0.942511i	$0.608457\pi$
$468$	0.847099	+	0.248731i	0.0391572	+	0.0114976i
$469$	6.64791	−	4.27236i	0.306972	−	0.197279i
$470$	−4.17869	+	29.0634i	−0.192749	+	1.34060i
$471$	−1.23244	+	2.69867i	−0.0567879	+	0.124348i
$472$	4.84512	−	10.6093i	0.223015	−	0.488335i
$473$	2.28462	−	15.8899i	0.105047	−	0.730616i
$474$	4.95974	−	3.18743i	0.227809	−	0.146404i
$475$	11.0548	+	3.24598i	0.507228	+	0.148936i
$476$	0.427995	+	2.97677i	0.0196171	+	0.136440i
$477$	12.1572	+	14.0301i	0.556640	+	0.642396i
$478$	4.15041	+	2.66730i	0.189835	+	0.122000i
$479$	−18.4492	+	21.2915i	−0.842966	+	0.972835i	−0.999891	−	0.0147760i	$-0.995296\pi$
$479$	−18.4492	+	21.2915i	−0.842966	+	0.972835i	0.156925	+	0.987611i	$0.449842\pi$
$480$	2.35630	−	0.691873i	0.107550	−	0.0315795i
$481$	1.40044	+	3.06654i	0.0638547	+	0.139822i
$482$	26.4332			1.20400
$483$	2.58368	+	1.41451i	0.117561	+	0.0643626i
$484$	23.6157			1.07344
$485$	−4.82968	−	10.5755i	−0.219304	−	0.480210i
$486$	13.3276	−	3.91333i	0.604551	−	0.177512i
$487$	−3.08181	+	3.55660i	−0.139650	+	0.161165i	−0.821266	−	0.570545i	$-0.806732\pi$
$487$	−3.08181	+	3.55660i	−0.139650	+	0.161165i	0.681616	+	0.731710i	$0.261277\pi$
$488$	−4.65140	−	2.98927i	−0.210559	−	0.135318i
$489$	−6.61995	−	7.63983i	−0.299365	−	0.345485i
$490$	0.569033	+	3.95771i	0.0257063	+	0.178791i
$491$	−16.4313	−	4.82468i	−0.741536	−	0.217735i	−0.110920	−	0.993829i	$-0.535380\pi$
$491$	−16.4313	−	4.82468i	−0.741536	−	0.217735i	−0.630616	+	0.776095i	$0.717198\pi$
$492$	5.55814	−	3.57200i	0.250580	−	0.161038i
$493$	0.173790	−	1.20874i	0.00782712	−	0.0544388i
$494$	0.146633	−	0.321082i	0.00659734	−	0.0144462i
$495$	25.6311	−	56.1242i	1.15203	−	2.52259i
$496$	−0.425537	+	2.95967i	−0.0191072	+	0.132893i
$497$	−0.556073	+	0.357366i	−0.0249433	+	0.0160301i
$498$	3.23976	+	0.951279i	0.145177	+	0.0426278i
$499$	−2.39930	−	16.6875i	−0.107408	−	0.747036i	−0.970345	−	0.241725i	$-0.922287\pi$
$499$	−2.39930	−	16.6875i	−0.107408	−	0.747036i	0.862937	−	0.505311i	$-0.168622\pi$
$500$	−15.6771	−	18.0924i	−0.701102	−	0.809115i
$501$	−1.78393	−	1.14646i	−0.0797000	−	0.0512201i
$502$	−5.05570	+	5.83459i	−0.225647	+	0.260410i
$503$	−6.64265	+	1.95046i	−0.296181	+	0.0869667i	−0.426447	−	0.904512i	$-0.640235\pi$
$503$	−6.64265	+	1.95046i	−0.296181	+	0.0869667i	0.130266	+	0.991479i	$0.458417\pi$
$504$	1.08954	+	2.38576i	0.0485319	+	0.106270i
$505$	4.28077			0.190492
$506$	22.6071	−	16.8844i	1.00501	−	0.750602i
$507$	−7.91486			−0.351511
$508$	3.08166	+	6.74790i	0.136727	+	0.299390i
$509$	−24.1680	+	7.09637i	−1.07123	+	0.314541i	−0.769365	−	0.638810i	$-0.779427\pi$
$509$	−24.1680	+	7.09637i	−1.07123	+	0.314541i	−0.301864	+	0.953351i	$0.597609\pi$
$510$	−4.83645	+	5.58157i	−0.214162	+	0.247156i
$511$	14.0569	+	9.03383i	0.621841	+	0.399633i
$512$	0.654861	+	0.755750i	0.0289410	+	0.0333997i
$513$	−0.515372	−	3.58449i	−0.0227542	−	0.158259i
$514$	2.24319	+	0.658659i	0.0989428	+	0.0290522i
$515$	20.3884	−	13.1028i	0.898419	−	0.577379i
$516$	−0.238495	+	1.65877i	−0.0104991	+	0.0730231i
$517$	17.9482	−	39.3011i	0.789361	−	1.72846i
$518$	−4.16038	+	9.10996i	−0.182797	+	0.400269i
$519$	1.25545	−	8.73182i	0.0551080	−	0.383284i
$520$	−1.13226	+	0.727660i	−0.0496529	+	0.0319100i
$521$	−2.40522	−	0.706236i	−0.105375	−	0.0309408i	0.228620	−	0.973516i	$-0.426579\pi$
$521$	−2.40522	−	0.706236i	−0.105375	−	0.0309408i	−0.333995	+	0.942575i	$0.608397\pi$
$522$	−0.151564	−	1.05415i	−0.00663379	−	0.0461390i
$523$	1.77117	+	2.04404i	0.0774478	+	0.0893795i	0.793151	−	0.609025i	$-0.208439\pi$
$523$	1.77117	+	2.04404i	0.0774478	+	0.0893795i	−0.715703	+	0.698405i	$0.753894\pi$
$524$	8.91872	+	5.73171i	0.389616	+	0.250391i
$525$	−4.41918	+	5.10000i	−0.192869	+	0.222582i
$526$	9.05062	−	2.65750i	0.394626	−	0.115873i
$527$	−3.73558	−	8.17977i	−0.162724	−	0.356316i
$528$	−3.61359			−0.157261
$529$	6.52874	−	22.0539i	0.283858	−	0.958866i
$530$	−28.3016			−1.22934
$531$	12.7077	+	27.8259i	0.551465	+	1.20754i
$532$	1.00614	−	0.295430i	0.0436219	−	0.0128085i
$533$	−2.37127	+	2.73659i	−0.102711	+	0.118535i
$534$	3.26965	+	2.10128i	0.141492	+	0.0909311i
$535$	11.9643	+	13.8075i	0.517261	+	0.596951i
$536$	1.12463	+	7.82196i	0.0485765	+	0.337857i
$537$	−13.8216	−	4.05838i	−0.596445	−	0.175132i
$538$	−20.3320	+	13.0666i	−0.876576	+	0.563341i
$539$	0.837311	−	5.82362i	0.0360655	−	0.250841i
$540$	−5.73617	+	12.5605i	−0.246845	+	0.540516i
$541$	−14.4723	+	31.6899i	−0.622212	+	1.36246i	0.291687	+	0.956514i	$0.405784\pi$
$541$	−14.4723	+	31.6899i	−0.622212	+	1.36246i	−0.913899	+	0.405941i	$0.866944\pi$
$542$	2.96511	−	20.6228i	0.127362	−	0.885824i
$543$	1.06652	−	0.685412i	0.0457688	−	0.0294138i
$544$	−2.88556	−	0.847278i	−0.123717	−	0.0363267i
$545$	−8.73893	−	60.7806i	−0.374335	−	2.60356i
$546$	0.135389	+	0.156247i	0.00579411	+	0.00668676i
$547$	−8.63362	−	5.54849i	−0.369147	−	0.237236i	0.342894	−	0.939374i	$-0.388593\pi$
$547$	−8.63362	−	5.54849i	−0.369147	−	0.237236i	−0.712041	+	0.702138i	$0.752229\pi$
$548$	−6.26965	+	7.23556i	−0.267826	+	0.309088i
$549$	13.9142	−	4.08558i	0.593844	−	0.174368i
$550$	26.8540	+	58.8021i	1.14506	+	2.50733i
$551$	−0.425799			−0.0181396
$552$	−2.35999	+	1.76259i	−0.100448	+	0.0750207i
$553$	−9.59910			−0.408195
$554$	−10.4542	−	22.8916i	−0.444158	−	0.972569i
$555$	−23.5984	+	6.92911i	−1.00170	+	0.294124i
$556$	7.78884	−	8.98880i	0.330321	−	0.381210i
$557$	−7.53872	−	4.84484i	−0.319426	−	0.205283i	0.371095	−	0.928595i	$-0.378982\pi$
$557$	−7.53872	−	4.84484i	−0.319426	−	0.205283i	−0.690521	+	0.723312i	$0.742619\pi$
$558$	−5.13566	−	5.92687i	−0.217410	−	0.250904i
$559$	−0.130710	−	0.909108i	−0.00552844	−	0.0384512i
$560$	−3.83645	−	1.12648i	−0.162119	−	0.0476026i
$561$	9.14227	−	5.87538i	0.385987	−	0.248059i
$562$	−3.44782	+	23.9801i	−0.145438	+	1.01154i
$563$	−0.149942	+	0.328327i	−0.00631929	+	0.0138373i	−0.912765	−	0.408484i	$-0.866057\pi$
$563$	−0.149942	+	0.328327i	−0.00631929	+	0.0138373i	0.906446	+	0.422322i	$0.138785\pi$
$564$	−1.87364	+	4.10270i	−0.0788946	+	0.172755i
$565$	−2.07112	+	14.4049i	−0.0871326	+	0.606021i
$566$	13.9005	−	8.93334i	0.584283	−	0.375496i
$567$	−5.51444	−	1.61919i	−0.231585	−	0.0679995i
$568$	−0.0940708	−	0.654277i	−0.00394712	−	0.0274528i
$569$	−6.18801	−	7.14135i	−0.259415	−	0.299381i	0.611069	−	0.791577i	$-0.290740\pi$
$569$	−6.18801	−	7.14135i	−0.259415	−	0.299381i	−0.870484	+	0.492196i	$0.836194\pi$
$570$	2.16638	+	1.39225i	0.0907396	+	0.0583148i
$571$	−21.9587	+	25.3417i	−0.918942	+	1.06052i	0.0790304	+	0.996872i	$0.474818\pi$
$571$	−21.9587	+	25.3417i	−0.918942	+	1.06052i	−0.997973	+	0.0636438i	$0.979728\pi$
$572$	1.90025	−	0.557963i	0.0794534	−	0.0233296i
$573$	−1.20792	−	2.64498i	−0.0504616	−	0.110496i
$574$	−10.7572			−0.448998
$575$	46.2197	+	25.3044i	1.92749	+	1.05527i
$576$	−2.62277			−0.109282
$577$	3.65797	+	8.00984i	0.152283	+	0.333454i	0.970363	−	0.241650i	$-0.0776887\pi$
$577$	3.65797	+	8.00984i	0.152283	+	0.333454i	−0.818080	+	0.575104i	$0.804961\pi$
$578$	−7.63339	+	2.24136i	−0.317507	+	0.0932285i
$579$	−4.62057	+	5.33242i	−0.192024	+	0.221608i
$580$	1.36584	+	0.877774i	0.0567135	+	0.0364476i
$581$	−3.60013	−	4.15477i	−0.149358	−	0.172369i
$582$	−0.254156	−	1.76770i	−0.0105351	−	0.0732733i
$583$	39.9579	+	11.7327i	1.65489	+	0.485918i
$584$	−14.0569	+	9.03383i	−0.581679	+	0.373822i
$585$	0.502377	−	3.49411i	0.0207708	−	0.144464i
$586$	−2.80221	+	6.13598i	−0.115758	+	0.253475i
$587$	6.07523	−	13.3029i	0.250751	−	0.549069i	−0.741839	−	0.670578i	$-0.766046\pi$
$587$	6.07523	−	13.3029i	0.250751	−	0.549069i	0.992590	+	0.121509i	$0.0387734\pi$
$588$	−0.0874082	+	0.607937i	−0.00360465	+	0.0250709i
$589$	−2.63774	+	1.69517i	−0.108686	+	0.0698483i
$590$	−44.7458	−	13.1385i	−1.84215	−	0.540905i
$591$	1.67458	+	11.6469i	0.0688829	+	0.479091i
$592$	−6.55843	−	7.56883i	−0.269550	−	0.311077i
$593$	26.9585	+	17.3252i	1.10705	+	0.711461i	0.960649	−	0.277764i	$-0.0895933\pi$
$593$	26.9585	+	17.3252i	1.10705	+	0.711461i	0.146405	+	0.989225i	$0.453230\pi$
$594$	13.3057	−	15.3556i	0.545940	−	0.630048i
$595$	11.5377	−	3.38776i	0.472998	−	0.138885i
$596$	4.72454	+	10.3453i	0.193525	+	0.423760i
$597$	−5.84047			−0.239035
$598$	0.968872	−	1.29128i	0.0396201	−	0.0528042i
$599$	18.7155			0.764694			0.382347	−	0.924019i	$-0.375116\pi$
$599$	18.7155			0.764694			0.382347	+	0.924019i	$0.375116\pi$
$600$	−2.80333	−	6.13844i	−0.114446	−	0.250601i
$601$	−12.2994	+	3.61144i	−0.501704	+	0.147314i	−0.522786	−	0.852464i	$-0.675107\pi$
$601$	−12.2994	+	3.61144i	−0.501704	+	0.147314i	0.0210814	+	0.999778i	$0.493289\pi$
$602$	1.78680	−	2.06207i	0.0728244	−	0.0840439i
$603$	−17.4360	−	11.2054i	−0.710047	−	0.456320i
$604$	−13.5531	−	15.6412i	−0.551469	−	0.636429i
$605$	−13.4381	−	93.4641i	−0.546337	−	3.79986i
$606$	0.630926	+	0.185257i	0.0256296	+	0.00752554i
$607$	3.57919	−	2.30020i	0.145275	−	0.0933624i	−0.465984	−	0.884793i	$-0.654300\pi$
$607$	3.57919	−	2.30020i	0.145275	−	0.0933624i	0.611259	+	0.791431i	$0.290663\pi$
$608$	−0.149234	+	1.03795i	−0.00605225	+	0.0420943i
$609$	0.103603	−	0.226858i	0.00419819	−	0.00919275i
$610$	−9.18388	+	20.1099i	−0.371844	+	0.814226i
$611$	0.351791	−	2.44676i	0.0142319	−	0.0989853i
$612$	6.63554	−	4.26440i	0.268226	−	0.172378i
$613$	−5.10156	−	1.49795i	−0.206050	−	0.0605018i	0.177079	−	0.984197i	$-0.443335\pi$
$613$	−5.10156	−	1.49795i	−0.206050	−	0.0605018i	−0.383129	+	0.923695i	$0.625153\pi$
$614$	3.38204	+	23.5226i	0.136488	+	0.949295i
$615$	−17.2997	−	19.9649i	−0.697591	−	0.805063i
$616$	4.94952	+	3.18087i	0.199422	+	0.128161i
$617$	−18.9754	+	21.8988i	−0.763922	+	0.881613i	−0.995840	−	0.0911226i	$-0.970954\pi$
$617$	−18.9754	+	21.8988i	−0.763922	+	0.881613i	0.231918	+	0.972735i	$0.425500\pi$
$618$	3.57201	−	1.04884i	0.143687	−	0.0421904i
$619$	−11.9296	−	26.1222i	−0.479491	−	1.04994i	−0.982603	−	0.185718i	$-0.940539\pi$
$619$	−11.9296	−	26.1222i	−0.479491	−	1.04994i	0.503112	−	0.864221i	$-0.332188\pi$
$620$	11.9557			0.480151
$621$	1.19983	−	16.5186i	0.0481477	−	0.662869i
$622$	−16.1630			−0.648076
$623$	−2.62878	−	5.75623i	−0.105320	−	0.230618i
$624$	−0.198370	+	0.0582467i	−0.00794115	+	0.00233173i
$625$	−26.7078	+	30.8225i	−1.06831	+	1.23290i
$626$	−3.70130	−	2.37868i	−0.147934	−	0.0950712i
$627$	−2.48145	−	2.86375i	−0.0990996	−	0.114367i
$628$	0.687436	+	4.78122i	0.0274317	+	0.190792i
$629$	28.8989	+	8.48549i	1.15228	+	0.338338i
$630$	8.82216	−	5.66966i	0.351483	−	0.225884i
$631$	2.63094	−	18.2986i	0.104736	−	0.728456i	−0.868004	−	0.496558i	$-0.834597\pi$
$631$	2.63094	−	18.2986i	0.104736	−	0.728456i	0.972740	−	0.231899i	$-0.0744938\pi$
$632$	3.98761	−	8.73165i	0.158619	−	0.347326i
$633$	−1.07995	+	2.36477i	−0.0429243	+	0.0939910i
$634$	2.50695	−	17.4362i	0.0995638	−	0.692482i
$635$	24.9527	−	16.0361i	0.990217	−	0.636374i
$636$	−4.17126	−	1.22479i	−0.165401	−	0.0485662i
$637$	−0.0479052	−	0.333188i	−0.00189807	−	0.0132014i
$638$	−1.56449	−	1.80551i	−0.0619386	−	0.0714810i
$639$	1.45845	+	0.937290i	0.0576954	+	0.0370786i
$640$	2.61840	−	3.02180i	0.103501	−	0.119447i
$641$	−24.6862	+	7.24853i	−0.975047	+	0.286300i	−0.730178	−	0.683257i	$-0.760563\pi$
$641$	−24.6862	+	7.24853i	−0.975047	+	0.286300i	−0.244869	+	0.969556i	$0.578745\pi$
$642$	1.16583	+	2.55281i	0.0460116	+	0.100751i
$643$	−12.1958			−0.480957			−0.240479	−	0.970654i	$-0.577304\pi$
$643$	−12.1958			−0.480957			−0.240479	+	0.970654i	$0.577304\pi$
$644$	4.78399	−	0.336830i	0.188516	−	0.0132730i
$645$	6.70063			0.263837
$646$	−1.31005	−	2.86862i	−0.0515434	−	0.112864i
$647$	−19.6865	+	5.78047i	−0.773955	+	0.227254i	−0.644780	−	0.764368i	$-0.723051\pi$
$647$	−19.6865	+	5.78047i	−0.773955	+	0.227254i	−0.129175	+	0.991622i	$0.541233\pi$
$648$	3.76365	−	4.34348i	0.147850	−	0.170628i
$649$	57.7279	+	37.0995i	2.26602	+	1.45628i
$650$	2.42198	+	2.79512i	0.0949981	+	0.109634i
$651$	−0.261360	−	1.81780i	−0.0102435	−	0.0712451i
$652$	−15.7923	−	4.63704i	−0.618474	−	0.181600i
$653$	−11.3364	+	7.28545i	−0.443627	+	0.285102i	−0.743322	−	0.668933i	$-0.766751\pi$
$653$	−11.3364	+	7.28545i	−0.443627	+	0.285102i	0.299696	+	0.954035i	$0.403115\pi$
$654$	1.34237	−	9.33641i	0.0524909	−	0.365082i
$655$	17.6094	−	38.5593i	0.688057	−	1.50664i
$656$	4.46871	−	9.78511i	0.174474	−	0.382045i
$657$	6.23697	−	43.3791i	0.243327	−	1.69238i
$658$	6.17774	−	3.97019i	0.240833	−	0.154774i
$659$	18.1559	+	5.33104i	0.707252	+	0.207668i	0.615526	−	0.788116i	$-0.288943\pi$
$659$	18.1559	+	5.33104i	0.707252	+	0.207668i	0.0917259	+	0.995784i	$0.470762\pi$
$660$	2.05625	+	14.3015i	0.0800395	+	0.556687i
$661$	−19.1360	−	22.0841i	−0.744303	−	0.858971i	0.249700	−	0.968323i	$-0.419668\pi$
$661$	−19.1360	−	22.0841i	−0.744303	−	0.858971i	−0.994003	+	0.109352i	$0.965122\pi$
$662$	1.35567	+	0.871234i	0.0526895	+	0.0338615i
$663$	0.407166	−	0.469895i	0.0158130	−	0.0182492i
$664$	5.27485	−	1.54884i	0.204704	−	0.0601065i
$665$	−1.74176	−	3.81392i	−0.0675425	−	0.147897i
$666$	26.2671			1.01783
$667$	−1.90241	−	0.416053i	−0.0736618	−	0.0161096i
$668$	−3.45261			−0.133586
$669$	5.81462	+	12.7323i	0.224806	+	0.492257i
$670$	30.3171	−	8.90190i	1.17125	−	0.343911i
$671$	21.3031	−	24.5850i	0.822396	−	0.949095i
$672$	−0.516689	−	0.332056i	−0.0199317	−	0.0128093i
$673$	−23.0910	−	26.6484i	−0.890092	−	1.02722i	−0.999448	−	0.0332188i	$-0.989424\pi$
$673$	−23.0910	−	26.6484i	−0.890092	−	1.02722i	0.109356	−	0.994003i	$-0.465121\pi$
$674$	−1.87909	−	13.0694i	−0.0723800	−	0.503414i
$675$	36.4070	+	10.6901i	1.40131	+	0.411460i
$676$	−10.8410	+	6.96707i	−0.416961	+	0.267964i
$677$	−3.05124	+	21.2219i	−0.117269	+	0.815623i	0.843273	+	0.537486i	$0.180626\pi$
$677$	−3.05124	+	21.2219i	−0.117269	+	0.815623i	−0.960541	+	0.278137i	$0.910283\pi$
$678$	−0.928649	+	2.03346i	−0.0356646	+	0.0780945i
$679$	−1.20790	+	2.64493i	−0.0463549	+	0.101503i
$680$	−1.71130	+	11.9024i	−0.0656254	+	0.456435i
$681$	12.3467	−	7.93476i	0.473128	−	0.304061i
$682$	−16.8797	−	4.95633i	−0.646358	−	0.189788i
$683$	4.05403	+	28.1964i	0.155123	+	1.07891i	0.907464	+	0.420131i	$0.138016\pi$
$683$	4.05403	+	28.1964i	0.155123	+	1.07891i	−0.752340	+	0.658775i	$0.771075\pi$
$684$	−1.80106	−	2.07853i	−0.0688652	−	0.0794746i
$685$	32.2039	+	20.6962i	1.23045	+	0.790761i
$686$	0.654861	−	0.755750i	0.0250027	−	0.0288547i
$687$	10.8199	−	3.17701i	0.412805	−	0.121210i
$688$	1.13347	+	2.48195i	0.0432130	+	0.0946233i
$689$	2.38263			0.0907708
$690$	8.31872	+	8.33718i	0.316688	+	0.317391i
$691$	−32.1035			−1.22128			−0.610638	−	0.791910i	$-0.709087\pi$
$691$	−32.1035			−1.22128			−0.610638	+	0.791910i	$0.709087\pi$
$692$	−5.96662	−	13.0651i	−0.226817	−	0.496659i
$693$	−14.8060	+	4.34744i	−0.562435	+	0.165146i
$694$	−17.7109	+	20.4395i	−0.672296	+	0.775871i
$695$	−40.0072	−	25.7111i	−1.51756	−	0.975277i
$696$	0.163319	+	0.188480i	0.00619060	+	0.00714433i
$697$	4.60404	+	32.0218i	0.174390	+	1.21291i
$698$	−23.2706	−	6.83287i	−0.880806	−	0.258628i
$699$	−3.83513	+	2.46469i	−0.145058	+	0.0932231i
$700$	−1.56365	+	10.8755i	−0.0591006	+	0.411053i
$701$	−9.76388	+	21.3799i	−0.368777	+	0.807508i	0.630727	+	0.776005i	$0.282757\pi$
$701$	−9.76388	+	21.3799i	−0.368777	+	0.807508i	−0.999504	+	0.0315033i	$0.989971\pi$
$702$	0.482911	−	1.05743i	0.0182263	−	0.0399100i
$703$	1.49458	−	10.3950i	0.0563692	−	0.392056i
$704$	−4.94952	+	3.18087i	−0.186542	+	0.119883i
$705$	17.3035	+	5.08076i	0.651687	+	0.191353i
$706$	−2.17429	−	15.1225i	−0.0818304	−	0.569143i
$707$	−0.701106	−	0.809119i	−0.0263678	−	0.0304301i
$708$	−6.02631	−	3.87288i	−0.226483	−	0.145552i
$709$	−1.03853	+	1.19853i	−0.0390030	+	0.0450118i	−0.774916	−	0.632064i	$-0.782208\pi$
$709$	−1.03853	+	1.19853i	−0.0390030	+	0.0450118i	0.735913	+	0.677076i	$0.236753\pi$
$710$	−2.53591	+	0.744610i	−0.0951710	+	0.0279447i
$711$	10.4586	+	22.9011i	0.392228	+	0.858859i
$712$	6.32808			0.237155
$713$	−13.4414	+	4.99644i	−0.503386	+	0.187118i
$714$	1.84710			0.0691260
$715$	−3.28956	−	7.20314i	−0.123023	−	0.269382i
$716$	−22.5038	+	6.60771i	−0.841006	+	0.246942i
$717$	1.98433	−	2.29004i	0.0741063	−	0.0855232i
$718$	−15.6927	−	10.0851i	−0.585646	−	0.376372i
$719$	−3.99806	−	4.61401i	−0.149103	−	0.172074i	0.676285	−	0.736640i	$-0.263589\pi$
$719$	−3.99806	−	4.61401i	−0.149103	−	0.172074i	−0.825388	+	0.564567i	$0.809043\pi$
$720$	1.49244	+	10.3802i	0.0556201	+	0.386846i
$721$	−5.81581	−	1.70768i	−0.216592	−	0.0635972i
$722$	15.0588	−	9.67768i	0.560429	−	0.360166i
$723$	2.31048	−	16.0697i	0.0859275	−	0.597639i
$724$	0.857478	−	1.87762i	0.0318679	−	0.0697810i
$725$	1.85336	−	4.05828i	0.0688319	−	0.150721i
$726$	2.06421	−	14.3569i	0.0766099	−	0.532833i
$727$	−27.1268	+	17.4333i	−1.00608	+	0.646566i	−0.936375	−	0.351002i	$-0.885841\pi$
$727$	−27.1268	+	17.4333i	−1.00608	+	0.646566i	−0.0697019	+	0.997568i	$0.522205\pi$
$728$	0.322979	+	0.0948351i	0.0119704	+	0.00351482i
$729$	1.23964	+	8.62185i	0.0459124	+	0.319328i
$730$	43.7521	+	50.4927i	1.61934	+	1.86882i
$731$	−6.90307	−	4.43633i	−0.255319	−	0.164084i
$732$	−2.22386	+	2.56647i	−0.0821963	+	0.0948595i
$733$	−17.1640	+	5.03979i	−0.633965	+	0.186149i	−0.582897	−	0.812546i	$-0.698081\pi$
$733$	−17.1640	+	5.03979i	−0.633965	+	0.186149i	−0.0510683	+	0.998695i	$0.516263\pi$
$734$	−2.09711	−	4.59202i	−0.0774056	−	0.169495i
$735$	2.45578			0.0905828
$736$	−1.68095	+	4.49159i	−0.0619606	+	0.165562i
$737$	−46.4938			−1.71262
$738$	11.7204	+	25.6641i	0.431434	+	0.944709i
$739$	−16.1594	+	4.74482i	−0.594433	+	0.174541i	−0.565091	−	0.825028i	$-0.691159\pi$
$739$	−16.1594	+	4.74482i	−0.594433	+	0.174541i	−0.0293411	+	0.999569i	$0.509341\pi$
$740$	−26.2233	+	30.2633i	−0.963987	+	1.11250i
$741$	−0.182381	−	0.117209i	−0.00669993	−	0.00430578i
$742$	4.63525	+	5.34936i	0.170165	+	0.196381i
$743$	−1.42659	−	9.92212i	−0.0523363	−	0.364007i	−0.999113	−	0.0421153i	$-0.986590\pi$
$743$	−1.42659	−	9.92212i	−0.0523363	−	0.364007i	0.946776	−	0.321892i	$-0.104319\pi$
$744$	1.76210	+	0.517399i	0.0646017	+	0.0189688i
$745$	38.2553	−	24.5852i	1.40156	−	0.900731i
$746$	−0.707144	+	4.91829i	−0.0258904	+	0.180072i
$747$	−5.98979	+	13.1158i	−0.219155	+	0.479882i
$748$	7.35034	−	16.0950i	0.268755	−	0.588492i
$749$	0.650280	−	4.52280i	0.0237607	−	0.165260i
$750$	−12.3693	+	7.94929i	−0.451664	+	0.290267i
$751$	−0.626003	−	0.183811i	−0.0228432	−	0.00670736i	0.270291	−	0.962779i	$-0.412880\pi$
$751$	−0.626003	−	0.183811i	−0.0228432	−	0.00670736i	−0.293134	+	0.956071i	$0.594698\pi$
$752$	1.04509	+	7.26874i	0.0381104	+	0.265064i
$753$	3.10516	+	3.58354i	0.113158	+	0.130591i
$754$	−0.114986	−	0.0738971i	−0.00418755	−	0.00269117i
$755$	−54.1910	+	62.5397i	−1.97221	+	2.27605i
$756$	3.31356	−	0.972948i	0.120513	−	0.0353858i
$757$	−21.0273	−	46.0434i	−0.764250	−	1.67348i	−0.738917	−	0.673796i	$-0.764663\pi$
$757$	−21.0273	−	46.0434i	−0.764250	−	1.67348i	−0.0253332	−	0.999679i	$-0.508065\pi$
$758$	32.2395			1.17099
$759$	−8.28860	−	15.2195i	−0.300857	−	0.552433i
$760$	4.19281			0.152089
$761$	2.44836	+	5.36116i	0.0887529	+	0.194342i	0.948803	−	0.315867i	$-0.102295\pi$
$761$	2.44836	+	5.36116i	0.0887529	+	0.194342i	−0.860051	+	0.510209i	$0.829568\pi$
$762$	4.37166	−	1.28364i	0.158369	−	0.0465012i
$763$	−10.0570	+	11.6064i	−0.364089	+	0.420181i
$764$	−3.98273	−	2.55955i	−0.144090	−	0.0926012i
$765$	−20.6531	−	23.8350i	−0.746715	−	0.861755i
$766$	−3.91901	−	27.2573i	−0.141600	−	0.984848i
$767$	3.76701	+	1.10609i	0.136019	+	0.0399387i
$768$	0.516689	−	0.332056i	0.0186444	−	0.0119820i
$769$	6.00373	−	41.7569i	0.216500	−	1.50579i	−0.534318	−	0.845283i	$-0.679432\pi$
$769$	6.00373	−	41.7569i	0.216500	−	1.50579i	0.750819	−	0.660508i	$-0.229659\pi$
$770$	9.77251	−	21.3988i	0.352177	−	0.771160i
$771$	0.596497	−	1.30615i	0.0214823	−	0.0470397i
$772$	−1.63491	+	11.3711i	−0.0588418	+	0.409254i
$773$	15.2467	−	9.79844i	0.548385	−	0.352425i	−0.236926	−	0.971528i	$-0.576140\pi$
$773$	15.2467	−	9.79844i	0.548385	−	0.352425i	0.785310	+	0.619102i	$0.212503\pi$
$774$	−6.86639	−	2.01616i	−0.246807	−	0.0724692i
$775$	−4.67549	−	32.5188i	−0.167949	−	1.16811i
$776$	−1.90413	−	2.19749i	−0.0683544	−	0.0788852i
$777$	5.17464	+	3.32554i	0.185639	+	0.119303i
$778$	−17.1648	+	19.8092i	−0.615388	+	0.710195i
$779$	10.8233	−	3.17801i	0.387785	−	0.113864i
$780$	0.343403	+	0.751947i	0.0122958	+	0.0269240i
$781$	3.88903			0.139160
$782$	−3.05019	−	14.0967i	−0.109075	−	0.504096i
$783$	−1.40229			−0.0501139
$784$	0.415415	+	0.909632i	0.0148363	+	0.0324869i
$785$	18.5315	−	5.44135i	0.661419	−	0.194210i
$786$	4.26409	−	4.92103i	0.152095	−	0.175527i
$787$	−22.9751	−	14.7652i	−0.818973	−	0.526322i	0.0627835	−	0.998027i	$-0.480002\pi$
$787$	−22.9751	−	14.7652i	−0.818973	−	0.526322i	−0.881756	+	0.471705i	$0.843639\pi$
$788$	12.5459	+	14.4787i	0.446929	+	0.515784i
$789$	−0.824497	−	5.73450i	−0.0293529	−	0.204154i
$790$	−36.8264	−	10.8132i	−1.31023	−	0.384717i
$791$	3.06192	−	1.96778i	0.108869	−	0.0699661i
$792$	2.19608	−	15.2740i	0.0780341	−	0.542739i
$793$	0.773163	−	1.69299i	0.0274558	−	0.0601198i
$794$	−14.1108	+	30.8983i	−0.500772	+	1.09654i
$795$	−2.47379	+	17.2056i	−0.0877364	+	0.610220i
$796$	−7.99968	+	5.14108i	−0.283541	+	0.182221i
$797$	−38.3026	−	11.2466i	−1.35675	−	0.398377i	−0.479132	−	0.877743i	$-0.659048\pi$
$797$	−38.3026	−	11.2466i	−1.35675	−	0.398377i	−0.877615	+	0.479366i	$0.840866\pi$
$798$	−0.0916580	−	0.637495i	−0.00324466	−	0.0225671i
$799$	−14.4624	−	16.6905i	−0.511643	−	0.590467i
$800$	−9.24309	−	5.94017i	−0.326793	−	0.210017i
$801$	−10.8688	+	12.5433i	−0.384030	+	0.443195i
$802$	−2.11234	+	0.620238i	−0.0745892	+	0.0219014i
$803$	−40.8396	−	89.4263i	−1.44120	−	3.15579i
$804$	4.85356			0.171172
$805$	−4.05532	−	18.7420i	−0.142931	−	0.660568i
$806$	−1.00651			−0.0354529
$807$	6.16649	+	13.5027i	0.217071	+	0.475319i
$808$	1.02725	−	0.301628i	0.0361386	−	0.0106112i
$809$	−2.45256	+	2.83040i	−0.0862274	+	0.0995117i	−0.797224	−	0.603684i	$-0.793699\pi$
$809$	−2.45256	+	2.83040i	−0.0862274	+	0.0995117i	0.710996	+	0.703196i	$0.248244\pi$
$810$	−19.3319	−	12.4238i	−0.679253	−	0.436529i
$811$	−5.53992	−	6.39341i	−0.194533	−	0.224503i	0.650100	−	0.759848i	$-0.274727\pi$
$811$	−5.53992	−	6.39341i	−0.194533	−	0.224503i	−0.844633	+	0.535346i	$0.820181\pi$
$812$	−0.0577878	−	0.401923i	−0.00202796	−	0.0141047i
$813$	−12.2782	−	3.60520i	−0.430615	−	0.126440i
$814$	49.5695	−	31.8564i	1.73741	−	1.11657i
$815$	−9.36572	+	65.1400i	−0.328067	+	2.28176i
$816$	−0.767314	+	1.68018i	−0.0268614	+	0.0588182i
$817$	−1.18858	+	2.60262i	−0.0415830	+	0.0910541i
$818$	−3.99047	+	27.7543i	−0.139523	+	0.970407i
$819$	−0.742710	+	0.477311i	−0.0259524	+	0.0166786i
$820$	−41.2695	−	12.1178i	−1.44119	−	0.423173i
$821$	5.84206	+	40.6324i	0.203889	+	1.41808i	0.792602	+	0.609739i	$0.208726\pi$
$821$	5.84206	+	40.6324i	0.203889	+	1.41808i	−0.588713	+	0.808342i	$0.700365\pi$
$822$	3.85075	+	4.44400i	0.134310	+	0.155002i
$823$	−1.60438	−	1.03107i	−0.0559250	−	0.0359408i	0.512380	−	0.858759i	$-0.328764\pi$
$823$	−1.60438	−	1.03107i	−0.0559250	−	0.0359408i	−0.568305	+	0.822818i	$0.692400\pi$
$824$	3.96933	−	4.58085i	0.138278	−	0.159582i
$825$	38.0952	−	11.1858i	1.32631	−	0.389439i
$826$	4.84512	+	10.6093i	0.168583	+	0.369146i
$827$	31.8690			1.10819			0.554096	−	0.832453i	$-0.313064\pi$
$827$	31.8690			1.10819			0.554096	+	0.832453i	$0.313064\pi$
$828$	−6.01594	−	11.0464i	−0.209068	−	0.383891i
$829$	20.8697			0.724834			0.362417	−	0.932016i	$-0.381952\pi$
$829$	20.8697			0.724834			0.362417	+	0.932016i	$0.381952\pi$
$830$	−9.13142	−	19.9950i	−0.316956	−	0.694037i
$831$	−14.8304	+	4.35461i	−0.514462	+	0.151060i
$832$	−0.220435	+	0.254396i	−0.00764222	+	0.00881959i
$833$	−2.52997	−	1.62591i	−0.0876583	−	0.0563346i
$834$	−4.78382	−	5.52083i	−0.165650	−	0.191171i
$835$	1.96465	+	13.6645i	0.0679896	+	0.472878i
$836$	−5.91966	−	1.73817i	−0.204736	−	0.0601158i
$837$	−8.68693	+	5.58275i	−0.300264	+	0.192968i
$838$	0.647107	−	4.50073i	0.0223539	−	0.155475i
$839$	−14.5217	+	31.7981i	−0.501345	+	1.09779i	0.474684	+	0.880156i	$0.342562\pi$
$839$	−14.5217	+	31.7981i	−0.501345	+	1.09779i	−0.976030	+	0.217637i	$0.930165\pi$
$840$	−1.02017	+	2.23386i	−0.0351991	+	0.0770754i
$841$	4.10367	−	28.5416i	0.141506	−	0.984194i
$842$	1.40894	−	0.905470i	0.0485552	−	0.0312046i
$843$	14.2770	+	4.19212i	0.491727	+	0.144384i
$844$	0.602380	+	4.18964i	0.0207348	+	0.144214i
$845$	33.7425	+	38.9410i	1.16078	+	1.33961i
$846$	−16.2028	−	10.4129i	−0.557064	−	0.358003i
$847$	−15.4650	+	17.8475i	−0.531383	+	0.613249i
$848$	−6.79150	+	1.99416i	−0.233221	+	0.0684799i
$849$	−4.21589	−	9.23151i	−0.144689	−	0.316825i
$850$	33.0430			1.13336
$851$	16.8347	−	44.9833i	0.577086	−	1.54201i
$852$	−0.405982			−0.0139087
$853$	21.2348	+	46.4977i	0.727065	+	1.59205i	0.803731	+	0.594993i	$0.202845\pi$
$853$	21.2348	+	46.4977i	0.727065	+	1.59205i	−0.0766655	+	0.997057i	$0.524427\pi$
$854$	5.30516	−	1.55774i	0.181539	−	0.0533046i
$855$	−7.20137	+	8.31082i	−0.246282	+	0.284224i
$856$	3.84395	+	2.47035i	0.131383	+	0.0844350i
$857$	−28.7105	−	33.1336i	−0.980731	−	1.13182i	−0.991266	−	0.131879i	$-0.957899\pi$
$857$	−28.7105	−	33.1336i	−0.980731	−	1.13182i	0.0105350	−	0.999945i	$-0.496647\pi$
$858$	−0.173109	−	1.20400i	−0.00590986	−	0.0411040i
$859$	35.8588	+	10.5291i	1.22349	+	0.359248i	0.828788	−	0.559562i	$-0.189031\pi$
$859$	35.8588	+	10.5291i	1.22349	+	0.359248i	0.394699	+	0.918811i	$0.370849\pi$
$860$	9.17784	−	5.89824i	0.312962	−	0.201128i
$861$	−0.940270	+	6.53972i	−0.0320443	+	0.222873i
$862$	1.03036	−	2.25618i	0.0350942	−	0.0768457i
$863$	3.42503	−	7.49976i	0.116589	−	0.255295i	−0.842337	−	0.538952i	$-0.818820\pi$
$863$	3.42503	−	7.49976i	0.116589	−	0.255295i	0.958926	+	0.283657i	$0.0915477\pi$
$864$	−0.491476	+	3.41829i	−0.0167204	+	0.116293i
$865$	−48.3126	+	31.0486i	−1.64268	+	1.05568i
$866$	−8.73784	−	2.56566i	−0.296924	−	0.0871848i
$867$	0.695389	+	4.83654i	0.0236166	+	0.164257i
$868$	−1.95810	−	2.25977i	−0.0664624	−	0.0767017i
$869$	47.5110	+	30.5334i	1.61170	+	1.03578i
$870$	0.653017	−	0.753622i	0.0221394	−	0.0255502i
$871$	−2.55230	+	0.749424i	−0.0864815	+	0.0253933i
$872$	−6.37974	−	13.9697i	−0.216045	−	0.473073i
$873$	7.62622			0.258108
$874$	−4.71387	+	1.75223i	−0.159449	+	0.0592702i
$875$	23.9396			0.809307
$876$	4.26331	+	9.33535i	0.144044	+	0.315412i
$877$	28.0178	−	8.22677i	0.946094	−	0.277798i	0.227934	−	0.973677i	$-0.426803\pi$
$877$	28.0178	−	8.22677i	0.946094	−	0.277798i	0.718160	+	0.695878i	$0.244985\pi$
$878$	−6.44663	+	7.43980i	−0.217563	+	0.251081i
$879$	3.48536	+	2.23990i	0.117558	+	0.0755500i
$880$	15.4054	+	17.7788i	0.519316	+	0.599322i
$881$	0.449046	+	3.12318i	0.0151287	+	0.105223i	0.995987	−	0.0895023i	$-0.0285276\pi$
$881$	0.449046	+	3.12318i	0.0151287	+	0.105223i	−0.980858	+	0.194725i	$0.937619\pi$
$882$	−2.51653	−	0.738920i	−0.0847360	−	0.0248807i
$883$	11.8209	−	7.59684i	0.397805	−	0.255654i	−0.326409	−	0.945228i	$-0.605839\pi$
$883$	11.8209	−	7.59684i	0.397805	−	0.255654i	0.724215	+	0.689575i	$0.242202\pi$
$884$	0.144069	−	1.00202i	0.00484557	−	0.0337017i
$885$	−11.8986	+	26.0542i	−0.399966	+	0.875803i
$886$	16.3989	−	35.9085i	0.550931	−	1.20637i
$887$	−7.43359	+	51.7018i	−0.249596	+	1.73598i	0.350959	+	0.936391i	$0.385856\pi$
$887$	−7.43359	+	51.7018i	−0.249596	+	1.73598i	−0.600554	+	0.799584i	$0.705053\pi$
$888$	−5.17464	+	3.32554i	−0.173649	+	0.111598i
$889$	−7.11778	−	2.08997i	−0.238723	−	0.0700953i
$890$	−3.60089	−	25.0447i	−0.120702	−	0.839501i
$891$	22.1435	+	25.5549i	0.741834	+	0.856122i
$892$	19.1719	+	12.3210i	0.641921	+	0.412538i
$893$	−5.04278	+	5.81967i	−0.168750	+	0.194748i
$894$	6.70225	−	1.96796i	0.224157	−	0.0658184i
$895$	38.9568	+	85.3035i	1.30218	+	2.85138i
$896$	−1.00000			−0.0334077
$897$	−0.700328	−	0.701881i	−0.0233833	−	0.0234351i
$898$	2.83729			0.0946814
$899$	0.504377	+	1.10443i	0.0168219	+	0.0368348i
$900$	27.6498	−	8.11873i	0.921662	−	0.270624i
$901$	13.9400	−	16.0876i	0.464407	−	0.535955i
$902$	53.2431	+	34.2173i	1.77280	+	1.13931i
$903$	−1.09743	−	1.26650i	−0.0365202	−	0.0421466i
$904$	0.517985	+	3.60267i	0.0172279	+	0.119823i
$905$	−7.91899	−	2.32523i	−0.263236	−	0.0772931i
$906$	−10.6935	+	6.87229i	−0.355268	+	0.228317i
$907$	4.60930	−	32.0584i	0.153049	−	1.06448i	−0.758021	−	0.652230i	$-0.773833\pi$
$907$	4.60930	−	32.0584i	0.153049	−	1.06448i	0.911070	−	0.412251i	$-0.135257\pi$
$908$	9.92671	−	21.7365i	0.329429	−	0.721350i
$909$	−1.16648	+	2.55424i	−0.0386897	+	0.0847186i
$910$	0.191544	−	1.33222i	0.00634964	−	0.0441627i
$911$	0.0171601	−	0.0110281i	0.000568538	−	0.000365377i	−0.540357	−	0.841436i	$-0.681711\pi$
$911$	0.0171601	−	0.0110281i	0.000568538	−	0.000365377i	0.540925	+	0.841071i	$0.318074\pi$
$912$	0.617962	+	0.181450i	0.0204628	+	0.00600841i
$913$	4.60315	+	32.0156i	0.152342	+	1.05956i
$914$	5.10334	+	5.88957i	0.168804	+	0.194810i
$915$	11.4228	+	7.34099i	0.377626	+	0.242686i
$916$	12.0234	−	13.8758i	0.397265	−	0.458468i
$917$	−10.1723	+	2.98684i	−0.335918	+	0.0986343i
$918$	−4.31443	−	9.44729i	−0.142397	−	0.311807i
$919$	−29.2451			−0.964708			−0.482354	−	0.875976i	$-0.660218\pi$
$919$	−29.2451			−0.964708			−0.482354	+	0.875976i	$0.660218\pi$
$920$	18.7329	+	4.09685i	0.617607	+	0.135069i
$921$	14.5959			0.480951
$922$	−5.27949	−	11.5605i	−0.173871	−	0.380724i
$923$	0.213490	−	0.0626865i	0.00702712	−	0.00206335i
$924$	2.36640	−	2.73097i	0.0778487	−	0.0898422i
$925$	92.5696	+	59.4908i	3.04367	+	1.95605i
$926$	1.49922	+	1.73019i	0.0492673	+	0.0568575i
$927$	2.26245	+	15.7357i	0.0743086	+	0.516828i
$928$	0.389608	+	0.114399i	0.0127895	+	0.00375534i
$929$	−43.5608	+	27.9948i	−1.42918	+	0.918479i	−0.429299	+	0.903162i	$0.641239\pi$
$929$	−43.5608	+	27.9948i	−1.42918	+	0.918479i	−0.999883	+	0.0153171i	$0.995124\pi$
$930$	1.04502	−	7.26830i	0.0342677	−	0.238337i
$931$	−0.435613	+	0.953858i	−0.0142766	+	0.0312614i
$932$	−3.08343	+	6.75176i	−0.101001	+	0.221161i
$933$	−1.41278	+	9.82608i	−0.0462522	+	0.321691i
$934$	32.1911	−	20.6879i	1.05332	−	0.676930i
$935$	−67.8820	−	19.9319i	−2.21998	−	0.651844i
$936$	−0.125644	−	0.873875i	−0.00410681	−	0.0285635i
$937$	−12.6019	−	14.5434i	−0.411687	−	0.475112i	0.511600	−	0.859224i	$-0.329053\pi$
$937$	−12.6019	−	14.5434i	−0.411687	−	0.475112i	−0.923287	+	0.384112i	$0.874508\pi$
$938$	−6.64791	−	4.27236i	−0.217062	−	0.139497i
$939$	−1.76961	+	2.04224i	−0.0577492	+	0.0666461i
$940$	28.1729	−	8.27231i	0.918899	−	0.269813i
$941$	−15.0283	−	32.9073i	−0.489907	−	1.07275i	−0.979619	−	0.200863i	$-0.935625\pi$
$941$	−15.0283	−	32.9073i	−0.489907	−	1.07275i	0.489712	−	0.871884i	$-0.337102\pi$
$942$	2.96677			0.0966627
$943$	51.4624	−	3.62335i	1.67585	−	0.117993i
$944$	−11.6633			−0.379609
$945$	−5.73617	−	12.5605i	−0.186598	−	0.408592i
$946$	−15.4030	+	4.52272i	−0.500794	+	0.147046i
$947$	28.4748	−	32.8616i	0.925306	−	1.06786i	−0.0722082	−	0.997390i	$-0.523005\pi$
$947$	28.4748	−	32.8616i	0.925306	−	1.06786i	0.997514	−	0.0704701i	$-0.0224499\pi$
$948$	−4.95974	−	3.18743i	−0.161085	−	0.103523i
$949$	−3.68336	−	4.25082i	−0.119567	−	0.137988i
$950$	−1.63968	−	11.4042i	−0.0531982	−	0.370002i
$951$	−10.3810	−	3.04814i	−0.336628	−	0.0988428i
$952$	2.52997	−	1.62591i	0.0819969	−	0.0526962i
$953$	7.04049	−	48.9677i	0.228064	−	1.58622i	−0.478188	−	0.878258i	$-0.658706\pi$
$953$	7.04049	−	48.9677i	0.228064	−	1.58622i	0.706252	−	0.707961i	$-0.250385\pi$
$954$	7.71199	−	16.8869i	0.249685	−	0.546734i
$955$	−7.86365	+	17.2190i	−0.254462	+	0.557193i
$956$	0.702124	−	4.88338i	0.0227083	−	0.157940i
$957$	−1.23439	+	0.793293i	−0.0399021	+	0.0256435i
$958$	27.0315	+	7.93717i	0.873349	+	0.256438i
$959$	−1.36252	−	9.47657i	−0.0439982	−	0.306014i
$960$	−1.60819	−	1.85595i	−0.0519042	−	0.0599007i
$961$	−18.5574	−	11.9261i	−0.598627	−	0.384714i
$962$	2.20766	−	2.54777i	0.0711778	−	0.0821435i
$963$	−11.4988	+	3.37635i	−0.370544	+	0.108802i
$964$	−10.9807	−	24.0445i	−0.353666	−	0.774420i
$965$	45.9338			1.47866
$966$	0.213388	−	2.93781i	0.00686566	−	0.0945224i
$967$	8.27210			0.266013			0.133006	−	0.991115i	$-0.457537\pi$
$967$	8.27210			0.266013			0.133006	+	0.991115i	$0.457537\pi$
$968$	−9.81031	−	21.4816i	−0.315315	−	0.690444i
$969$	−1.85845	+	0.545690i	−0.0597020	+	0.0175301i
$970$	−7.61351	+	8.78646i	−0.244455	+	0.282116i
$971$	32.8338	+	21.1010i	1.05369	+	0.677162i	0.948334	−	0.317273i	$-0.102767\pi$
$971$	32.8338	+	21.1010i	1.05369	+	0.677162i	0.105351	+	0.994435i	$0.466403\pi$
$972$	−9.09617	−	10.4975i	−0.291760	−	0.336709i
$973$	1.69268	+	11.7728i	0.0542647	+	0.377420i
$974$	4.51543	+	1.32585i	0.144684	+	0.0424830i
$975$	1.91096	−	1.22810i	0.0611997	−	0.0393306i
$976$	−0.786877	+	5.47285i	−0.0251873	+	0.175182i
$977$	13.6765	−	29.9473i	0.437549	−	0.958099i	−0.554493	−	0.832189i	$-0.687088\pi$
$977$	13.6765	−	29.9473i	0.437549	−	0.958099i	0.992042	−	0.125910i	$-0.0401850\pi$
$978$	−4.19941	+	9.19542i	−0.134282	+	0.294037i
$979$	−5.29857	+	36.8524i	−0.169343	+	1.17781i
$980$	3.36368	−	2.16170i	0.107449	−	0.0690531i
$981$	38.6477	+	11.3480i	1.23392	+	0.362313i
$982$	2.43714	+	16.9507i	0.0777724	+	0.540919i
$983$	37.9446	+	43.7904i	1.21024	+	1.39670i	0.894029	+	0.448009i	$0.147867\pi$
$983$	37.9446	+	43.7904i	1.21024	+	1.39670i	0.316215	+	0.948688i	$0.397588\pi$
$984$	−5.55814	−	3.57200i	−0.177187	−	0.113871i
$985$	50.1637	−	57.8920i	1.59835	−	1.84459i
$986$	−1.17170	+	0.344043i	−0.0373146	+	0.0109565i
$987$	−1.87364	−	4.10270i	−0.0596387	−	0.130591i
$988$	−0.352980			−0.0112298
$989$	−7.85345	+	10.4668i	−0.249725	+	0.332824i
$990$	−61.6999			−1.96095
$991$	−0.898465	−	1.96736i	−0.0285407	−	0.0624954i	0.894825	−	0.446418i	$-0.147300\pi$
$991$	−0.898465	−	1.96736i	−0.0285407	−	0.0624954i	−0.923365	+	0.383922i	$0.874573\pi$
$992$	2.86899	−	0.842410i	0.0910904	−	0.0267466i
$993$	0.648152	−	0.748007i	0.0205685	−	0.0237373i
$994$	0.556073	+	0.357366i	0.0176376	+	0.0113350i
$995$	24.8990	+	28.7350i	0.789352	+	0.910961i
$996$	−0.480530	−	3.34216i	−0.0152262	−	0.105900i
$997$	−26.4941	−	7.77938i	−0.839077	−	0.246375i	−0.166165	−	0.986098i	$-0.553139\pi$
$997$	−26.4941	−	7.77938i	−0.839077	−	0.246375i	−0.672912	+	0.739723i	$0.734957\pi$
$998$	−14.1828	+	9.11473i	−0.448949	+	0.288522i
$999$	4.92214	−	34.2342i	0.155729	−	1.08312i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	322.2.i.e.211.2	yes	40
23.6	even	11	inner	322.2.i.e.29.2	✓	40
23.11	odd	22		7406.2.a.bs.1.12		20
23.12	even	11		7406.2.a.bt.1.12		20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
322.2.i.e.29.2	✓	40	23.6	even	11	inner
322.2.i.e.211.2	yes	40	1.1	even	1	trivial
7406.2.a.bs.1.12		20	23.11	odd	22
7406.2.a.bt.1.12		20	23.12	even	11

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:	\( N \)	\(=\)	\( 322 = 2 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	322.i (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.415415 - 0.909632i) q^{2} +(-0.589310 + 0.173037i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(3.36368 + 2.16170i) q^{5} +(0.402208 + 0.464173i) q^{6} +(-0.142315 - 0.989821i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-2.20642 + 1.41798i) q^{9} +O(q^{10})\)	\(q+(-0.415415 - 0.909632i) q^{2} +(-0.589310 + 0.173037i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(3.36368 + 2.16170i) q^{5} +(0.402208 + 0.464173i) q^{6} +(-0.142315 - 0.989821i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-2.20642 + 1.41798i) q^{9} +(0.569033 - 3.95771i) q^{10} +(-2.44410 + 5.35183i) q^{11} +(0.255143 - 0.558686i) q^{12} +(-0.0479052 + 0.333188i) q^{13} +(-0.841254 + 0.540641i) q^{14} +(-2.35630 - 0.691873i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(1.96942 + 2.27283i) q^{17} +(2.20642 + 1.41798i) q^{18} +(0.686700 - 0.792494i) q^{19} +(-3.83645 + 1.12648i) q^{20} +(0.255143 + 0.558686i) q^{21} +5.88351 q^{22} +(3.84244 - 2.86978i) q^{23} -0.614189 q^{24} +(4.56428 + 9.99439i) q^{25} +(0.322979 - 0.0948351i) q^{26} +(2.26153 - 2.60994i) q^{27} +(0.841254 + 0.540641i) q^{28} +(-0.265910 - 0.306877i) q^{29} +(0.349494 + 2.43078i) q^{30} +(-2.86899 - 0.842410i) q^{31} +(-0.841254 + 0.540641i) q^{32} +(0.514267 - 3.57681i) q^{33} +(1.24931 - 2.73561i) q^{34} +(1.66100 - 3.63708i) q^{35} +(0.373259 - 2.59608i) q^{36} +(8.42515 - 5.41452i) q^{37} +(-1.00614 - 0.295430i) q^{38} +(-0.0294228 - 0.204640i) q^{39} +(2.61840 + 3.02180i) q^{40} +(9.04955 + 5.81579i) q^{41} +(0.402208 - 0.464173i) q^{42} +(-2.61799 + 0.768712i) q^{43} +(-2.44410 - 5.35183i) q^{44} -10.4869 q^{45} +(-4.20665 - 2.30306i) q^{46} -7.34349 q^{47} +(0.255143 + 0.558686i) q^{48} +(-0.959493 + 0.281733i) q^{49} +(7.19514 - 8.30364i) q^{50} +(-1.55388 - 0.998619i) q^{51} +(-0.220435 - 0.254396i) q^{52} +(-1.00734 - 7.00617i) q^{53} +(-3.31356 - 0.972948i) q^{54} +(-19.7902 + 12.7184i) q^{55} +(0.142315 - 0.989821i) q^{56} +(-0.267548 + 0.585849i) q^{57} +(-0.168682 + 0.369362i) q^{58} +(1.65987 - 11.5446i) q^{59} +(2.06593 - 1.32769i) q^{60} +(-5.30516 - 1.55774i) q^{61} +(0.425537 + 2.95967i) q^{62} +(1.71755 + 1.98216i) q^{63} +(0.841254 + 0.540641i) q^{64} +(-0.881391 + 1.01718i) q^{65} +(-3.46721 + 1.01807i) q^{66} +(3.28277 + 7.18827i) q^{67} -3.00738 q^{68} +(-1.76781 + 2.35607i) q^{69} -3.99841 q^{70} +(-0.274591 - 0.601271i) q^{71} +(-2.51653 + 0.738920i) q^{72} +(-10.9424 + 12.6282i) q^{73} +(-8.42515 - 5.41452i) q^{74} +(-4.41918 - 5.10000i) q^{75} +(0.149234 + 1.03795i) q^{76} +(5.64519 + 1.65758i) q^{77} +(-0.173925 + 0.111775i) q^{78} +(1.36609 - 9.50139i) q^{79} +(1.66100 - 3.63708i) q^{80} +(2.38749 - 5.22788i) q^{81} +(1.53091 - 10.6477i) q^{82} +(4.62483 - 2.97220i) q^{83} +(-0.589310 - 0.173037i) q^{84} +(1.71130 + 11.9024i) q^{85} +(1.78680 + 2.06207i) q^{86} +(0.209805 + 0.134833i) q^{87} +(-3.85288 + 4.44646i) q^{88} +(6.07175 - 1.78283i) q^{89} +(4.35642 + 9.53924i) q^{90} +0.336614 q^{91} +(-0.347431 + 4.78323i) q^{92} +1.83649 q^{93} +(3.05060 + 6.67987i) q^{94} +(4.02297 - 1.18125i) q^{95} +(0.402208 - 0.464173i) q^{96} +(-2.44611 - 1.57202i) q^{97} +(0.654861 + 0.755750i) q^{98} +(-2.19608 - 15.2740i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q + 4 q^{2} + 2 q^{3} - 4 q^{4} - 9 q^{5} - 2 q^{6} - 4 q^{7} + 4 q^{8}+O(q^{10}) \) 40 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 - 9 * q^5 - 2 * q^6 - 4 * q^7 + 4 * q^8	\( 40 q + 4 q^{2} + 2 q^{3} - 4 q^{4} - 9 q^{5} - 2 q^{6} - 4 q^{7} + 4 q^{8} - 2 q^{10} + 2 q^{12} + 4 q^{13} + 4 q^{14} - 11 q^{15} - 4 q^{16} - 21 q^{17} + 4 q^{19} + 2 q^{20} + 2 q^{21} - 11 q^{23} - 2 q^{24} + 5 q^{25} - 15 q^{26} + 95 q^{27} - 4 q^{28} + 22 q^{30} - 12 q^{31} + 4 q^{32} - 8 q^{33} + 10 q^{34} - 9 q^{35} + 41 q^{37} + 7 q^{38} - 38 q^{39} - 13 q^{40} + 25 q^{41} - 2 q^{42} - 59 q^{43} - 6 q^{45} + 11 q^{46} - 60 q^{47} + 2 q^{48} - 4 q^{49} + 61 q^{50} - 87 q^{51} + 4 q^{52} + 47 q^{53} - 29 q^{54} - 30 q^{55} + 4 q^{56} + 20 q^{57} - 96 q^{59} - 11 q^{60} + 84 q^{61} - 65 q^{62} - 4 q^{64} + 52 q^{65} - 3 q^{66} + 11 q^{67} - 10 q^{68} - 42 q^{69} - 2 q^{70} - 13 q^{71} + 11 q^{72} - 48 q^{73} - 41 q^{74} + 23 q^{75} + 26 q^{76} - 83 q^{78} + 80 q^{79} - 9 q^{80} + 2 q^{81} + 30 q^{82} - 20 q^{83} + 2 q^{84} - 71 q^{85} - 40 q^{86} + 99 q^{87} - 30 q^{89} + 116 q^{90} + 26 q^{91} - 22 q^{92} + 20 q^{93} - 17 q^{94} - 4 q^{95} - 2 q^{96} - 56 q^{97} + 4 q^{98} + 138 q^{99}+O(q^{100}) \) 40 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 - 9 * q^5 - 2 * q^6 - 4 * q^7 + 4 * q^8 - 2 * q^10 + 2 * q^12 + 4 * q^13 + 4 * q^14 - 11 * q^15 - 4 * q^16 - 21 * q^17 + 4 * q^19 + 2 * q^20 + 2 * q^21 - 11 * q^23 - 2 * q^24 + 5 * q^25 - 15 * q^26 + 95 * q^27 - 4 * q^28 + 22 * q^30 - 12 * q^31 + 4 * q^32 - 8 * q^33 + 10 * q^34 - 9 * q^35 + 41 * q^37 + 7 * q^38 - 38 * q^39 - 13 * q^40 + 25 * q^41 - 2 * q^42 - 59 * q^43 - 6 * q^45 + 11 * q^46 - 60 * q^47 + 2 * q^48 - 4 * q^49 + 61 * q^50 - 87 * q^51 + 4 * q^52 + 47 * q^53 - 29 * q^54 - 30 * q^55 + 4 * q^56 + 20 * q^57 - 96 * q^59 - 11 * q^60 + 84 * q^61 - 65 * q^62 - 4 * q^64 + 52 * q^65 - 3 * q^66 + 11 * q^67 - 10 * q^68 - 42 * q^69 - 2 * q^70 - 13 * q^71 + 11 * q^72 - 48 * q^73 - 41 * q^74 + 23 * q^75 + 26 * q^76 - 83 * q^78 + 80 * q^79 - 9 * q^80 + 2 * q^81 + 30 * q^82 - 20 * q^83 + 2 * q^84 - 71 * q^85 - 40 * q^86 + 99 * q^87 - 30 * q^89 + 116 * q^90 + 26 * q^91 - 22 * q^92 + 20 * q^93 - 17 * q^94 - 4 * q^95 - 2 * q^96 - 56 * q^97 + 4 * q^98 + 138 * q^99

Introduction

L-functions

Modular forms

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