LMFDB - Embedded newform 572.2.bn.a.95.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [572,2,Mod(95,572)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(572, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 21, 5]))

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

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

chi := DirichletCharacter("572.95");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 572 = 2^{2} \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	572.bn (of order $30$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.56744299562$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$80$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			95.2
Character	$\chi$	$=$	572.95
Dual form			572.2.bn.a.283.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41338 - 0.0484849i) q^{2} +(1.01203 - 0.911240i) q^{3} +(1.99530 + 0.137055i) q^{4} +(0.329599 + 0.453654i) q^{5} +(-1.47457 + 1.23886i) q^{6} +(0.622444 + 0.560451i) q^{7} +(-2.81347 - 0.290453i) q^{8} +(-0.119730 + 1.13915i) q^{9} +O(q^{10})$	\(q+(-1.41338 - 0.0484849i) q^{2} +(1.01203 - 0.911240i) q^{3} +(1.99530 + 0.137055i) q^{4} +(0.329599 + 0.453654i) q^{5} +(-1.47457 + 1.23886i) q^{6} +(0.622444 + 0.560451i) q^{7} +(-2.81347 - 0.290453i) q^{8} +(-0.119730 + 1.13915i) q^{9} +(-0.443854 - 0.657168i) q^{10} +(3.27455 + 0.526616i) q^{11} +(2.14420 - 1.67949i) q^{12} +(0.844983 - 3.50514i) q^{13} +(-0.852578 - 0.822311i) q^{14} +(0.746954 + 0.158770i) q^{15} +(3.96243 + 0.546933i) q^{16} +(-2.20978 + 4.96324i) q^{17} +(0.224456 - 1.60425i) q^{18} +(0.417349 + 1.96347i) q^{19} +(0.595473 + 0.950349i) q^{20} +1.14064 q^{21} +(-4.60266 - 0.903076i) q^{22} +(7.01090 + 4.04774i) q^{23} +(-3.11201 + 2.26980i) q^{24} +(1.44792 - 4.45623i) q^{25} +(-1.36423 + 4.91313i) q^{26} +(3.31826 + 4.56719i) q^{27} +(1.16515 + 1.20358i) q^{28} +(0.378111 - 1.77887i) q^{29} +(-1.04803 - 0.260619i) q^{30} +(-4.78001 - 3.47288i) q^{31} +(-5.57391 - 0.965143i) q^{32} +(3.79383 - 2.45095i) q^{33} +(3.36390 - 6.90782i) q^{34} +(-0.0490941 + 0.467099i) q^{35} +(-0.395024 + 2.25654i) q^{36} +(-0.246286 + 1.15869i) q^{37} +(-0.494674 - 2.79537i) q^{38} +(-2.33887 - 4.31730i) q^{39} +(-0.795553 - 1.37208i) q^{40} +(-5.15797 - 5.72850i) q^{41} +(-1.61216 - 0.0553038i) q^{42} +(3.10539 + 5.37869i) q^{43} +(6.46153 + 1.49955i) q^{44} +(-0.556245 + 0.321148i) q^{45} +(-9.71282 - 6.06093i) q^{46} +(-0.292632 + 0.900628i) q^{47} +(4.50850 - 3.05721i) q^{48} +(-0.658368 - 6.26395i) q^{49} +(-2.26252 + 6.22816i) q^{50} +(2.28633 + 7.03661i) q^{51} +(2.16639 - 6.87799i) q^{52} +(9.70361 + 7.05009i) q^{53} +(-4.46852 - 6.61607i) q^{54} +(0.840387 + 1.65909i) q^{55} +(-1.58845 - 1.75761i) q^{56} +(2.21156 + 1.60680i) q^{57} +(-0.620664 + 2.49590i) q^{58} +(0.0129921 - 0.0144292i) q^{59} +(1.46864 + 0.419167i) q^{60} +(4.96396 - 11.1492i) q^{61} +(6.58760 + 5.14027i) q^{62} +(-0.712965 + 0.641957i) q^{63} +(7.83127 + 1.63437i) q^{64} +(1.86863 - 0.771961i) q^{65} +(-5.48097 + 3.28018i) q^{66} +(1.89884 - 3.28888i) q^{67} +(-5.08941 + 9.60029i) q^{68} +(10.7837 - 2.29215i) q^{69} +(0.0920359 - 0.657809i) q^{70} +(8.93623 + 3.97867i) q^{71} +(0.667728 - 3.17020i) q^{72} +(1.23344 + 3.79615i) q^{73} +(0.404275 - 1.62572i) q^{74} +(-2.59536 - 5.82926i) q^{75} +(0.563631 + 3.97491i) q^{76} +(1.74308 + 2.16302i) q^{77} +(3.09639 + 6.21540i) q^{78} +(-3.38131 - 2.45667i) q^{79} +(1.05790 + 1.97784i) q^{80} +(4.15880 + 0.883980i) q^{81} +(7.01243 + 8.34665i) q^{82} +(1.83934 + 2.53163i) q^{83} +(2.27592 + 0.156331i) q^{84} +(-2.97994 + 0.633405i) q^{85} +(-4.12832 - 7.75271i) q^{86} +(-1.23832 - 2.14483i) q^{87} +(-9.05990 - 2.43273i) q^{88} +(-6.41766 - 3.70524i) q^{89} +(0.801758 - 0.426936i) q^{90} +(2.49042 - 1.70818i) q^{91} +(13.4341 + 9.03734i) q^{92} +(-8.00217 + 0.841061i) q^{93} +(0.457267 - 1.25874i) q^{94} +(-0.753179 + 0.836491i) q^{95} +(-6.52047 + 4.10241i) q^{96} +(-18.1917 - 1.91202i) q^{97} +(0.626819 + 8.88528i) q^{98} +(-0.991958 + 3.66716i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9}+O(q^{10}) $ 640 * q - 15 * q^2 - 3 * q^4 - 15 * q^6 - 78 * q^9	$ 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9} - 4 q^{12} - 20 q^{13} - 12 q^{14} - 19 q^{16} - 10 q^{17} - 45 q^{20} - 15 q^{22} - 15 q^{24} + 104 q^{25} - 20 q^{26} - 15 q^{28} - 10 q^{29} + 45 q^{30} - 24 q^{33} + 4 q^{36} - 18 q^{37} - 14 q^{38} - 20 q^{40} - 30 q^{41} - 13 q^{42} - 108 q^{45} - 15 q^{46} + 35 q^{48} - 74 q^{49} - 90 q^{50} + 15 q^{52} - 8 q^{53} + 50 q^{56} + 27 q^{58} - 10 q^{61} - 5 q^{62} - 84 q^{64} - 146 q^{66} - 70 q^{68} - 26 q^{69} - 15 q^{72} - 55 q^{74} + 44 q^{77} + 24 q^{78} - 39 q^{80} + 30 q^{81} - 29 q^{82} + 30 q^{84} - 30 q^{85} - 75 q^{88} - 24 q^{89} + 30 q^{90} + 14 q^{92} + 66 q^{93} - 5 q^{94} - 30 q^{97}+O(q^{100}) $ 640 * q - 15 * q^2 - 3 * q^4 - 15 * q^6 - 78 * q^9 - 4 * q^12 - 20 * q^13 - 12 * q^14 - 19 * q^16 - 10 * q^17 - 45 * q^20 - 15 * q^22 - 15 * q^24 + 104 * q^25 - 20 * q^26 - 15 * q^28 - 10 * q^29 + 45 * q^30 - 24 * q^33 + 4 * q^36 - 18 * q^37 - 14 * q^38 - 20 * q^40 - 30 * q^41 - 13 * q^42 - 108 * q^45 - 15 * q^46 + 35 * q^48 - 74 * q^49 - 90 * q^50 + 15 * q^52 - 8 * q^53 + 50 * q^56 + 27 * q^58 - 10 * q^61 - 5 * q^62 - 84 * q^64 - 146 * q^66 - 70 * q^68 - 26 * q^69 - 15 * q^72 - 55 * q^74 + 44 * q^77 + 24 * q^78 - 39 * q^80 + 30 * q^81 - 29 * q^82 + 30 * q^84 - 30 * q^85 - 75 * q^88 - 24 * q^89 + 30 * q^90 + 14 * q^92 + 66 * q^93 - 5 * q^94 - 30 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/572\mathbb{Z}\right)^\times$.

$n$	$287$	$353$	$365$
$\chi(n)$	$-1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{10}\right)$

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 $

$2$	−1.41338	−	0.0484849i	−0.999412	−	0.0342840i
$2$	−1.41338	−	0.0484849i	−0.999412	−	0.0342840i
$3$	1.01203	−	0.911240i	0.584298	−	0.526105i	−0.323106	−	0.946363i	$-0.604727\pi$
$3$	1.01203	−	0.911240i	0.584298	−	0.526105i	0.907405	+	0.420258i	$0.138060\pi$
$4$	1.99530	+	0.137055i	0.997649	+	0.0685277i
$5$	0.329599	+	0.453654i	0.147401	+	0.202880i	0.876333	−	0.481706i	$-0.159983\pi$
$5$	0.329599	+	0.453654i	0.147401	+	0.202880i	−0.728932	+	0.684587i	$0.759983\pi$
$6$	−1.47457	+	1.23886i	−0.601992	+	0.505763i
$7$	0.622444	+	0.560451i	0.235262	+	0.211831i	0.778326	−	0.627861i	$-0.216069\pi$
$7$	0.622444	+	0.560451i	0.235262	+	0.211831i	−0.543064	+	0.839691i	$0.682736\pi$
$8$	−2.81347	−	0.290453i	−0.994713	−	0.102691i
$9$	−0.119730	+	1.13915i	−0.0399100	+	0.379718i
$10$	−0.443854	−	0.657168i	−0.140359	−	0.207815i
$11$	3.27455	+	0.526616i	0.987314	+	0.158781i
$11$	3.27455	+	0.526616i	0.987314	+	0.158781i
$12$	2.14420	−	1.67949i	0.618977	−	0.484827i
$13$	0.844983	−	3.50514i	0.234356	−	0.972151i
$13$	0.844983	−	3.50514i	0.234356	−	0.972151i
$14$	−0.852578	−	0.822311i	−0.227861	−	0.219772i
$15$	0.746954	+	0.158770i	0.192863	+	0.0409942i
$16$	3.96243	+	0.546933i	0.990608	+	0.136733i
$17$	−2.20978	+	4.96324i	−0.535950	+	1.20376i	0.419269	+	0.907862i	$0.362287\pi$
$17$	−2.20978	+	4.96324i	−0.535950	+	1.20376i	−0.955219	+	0.295901i	$0.904380\pi$
$18$	0.224456	−	1.60425i	0.0529047	−	0.378126i
$19$	0.417349	+	1.96347i	0.0957463	+	0.450451i	0.999738	+	0.0229005i	$0.00729010\pi$
$19$	0.417349	+	1.96347i	0.0957463	+	0.450451i	−0.903991	+	0.427551i	$0.859377\pi$
$20$	0.595473	+	0.950349i	0.133152	+	0.212505i
$21$	1.14064			0.248908
$22$	−4.60266	−	0.903076i	−0.981290	−	0.192536i
$23$	7.01090	+	4.04774i	1.46187	+	0.844013i	0.999098	−	0.0424630i	$-0.0135205\pi$
$23$	7.01090	+	4.04774i	1.46187	+	0.844013i	0.462775	+	0.886476i	$0.346854\pi$
$24$	−3.11201	+	2.26980i	−0.635235	+	0.463321i
$25$	1.44792	−	4.45623i	0.289584	−	0.891247i
$26$	−1.36423	+	4.91313i	−0.267548	+	0.963545i
$27$	3.31826	+	4.56719i	0.638599	+	0.878956i
$28$	1.16515	+	1.20358i	0.220193	+	0.227455i
$29$	0.378111	−	1.77887i	0.0702135	−	0.330329i	−0.928996	−	0.370091i	$-0.879327\pi$
$29$	0.378111	−	1.77887i	0.0702135	−	0.330329i	0.999209	+	0.0397620i	$0.0126600\pi$
$30$	−1.04803	−	0.260619i	−0.191344	−	0.0475822i
$31$	−4.78001	−	3.47288i	−0.858516	−	0.623748i	0.0689651	−	0.997619i	$-0.478030\pi$
$31$	−4.78001	−	3.47288i	−0.858516	−	0.623748i	−0.927481	+	0.373871i	$0.878030\pi$
$32$	−5.57391	−	0.965143i	−0.985338	−	0.170615i
$33$	3.79383	−	2.45095i	0.660421	−	0.426655i
$34$	3.36390	−	6.90782i	0.576905	−	1.18468i
$35$	−0.0490941	+	0.467099i	−0.00829841	+	0.0789541i
$36$	−0.395024	+	2.25654i	−0.0658373	+	0.376090i
$37$	−0.246286	+	1.15869i	−0.0404892	+	0.190487i	−0.993744	−	0.111680i	$-0.964377\pi$
$37$	−0.246286	+	1.15869i	−0.0404892	+	0.190487i	0.953255	+	0.302167i	$0.0977101\pi$
$38$	−0.494674	−	2.79537i	−0.0802468	−	0.453469i
$39$	−2.33887	−	4.31730i	−0.374519	−	0.691322i
$40$	−0.795553	−	1.37208i	−0.125788	−	0.216945i
$41$	−5.15797	−	5.72850i	−0.805539	−	0.894642i	0.190668	−	0.981655i	$-0.438935\pi$
$41$	−5.15797	−	5.72850i	−0.805539	−	0.894642i	−0.996207	+	0.0870128i	$0.972268\pi$
$42$	−1.61216	−	0.0553038i	−0.248762	−	0.00853357i
$43$	3.10539	+	5.37869i	0.473568	+	0.820243i	0.999542	−	0.0302573i	$-0.00963266\pi$
$43$	3.10539	+	5.37869i	0.473568	+	0.820243i	−0.525975	+	0.850500i	$0.676299\pi$
$44$	6.46153	+	1.49955i	0.974112	+	0.226066i
$45$	−0.556245	+	0.321148i	−0.0829201	+	0.0478739i
$46$	−9.71282	−	6.06093i	−1.43208	−	0.893635i
$47$	−0.292632	+	0.900628i	−0.0426847	+	0.131370i	−0.970128	−	0.242594i	$-0.922002\pi$
$47$	−0.292632	+	0.900628i	−0.0426847	+	0.131370i	0.927443	+	0.373964i	$0.122002\pi$
$48$	4.50850	−	3.05721i	0.650746	−	0.441270i
$49$	−0.658368	−	6.26395i	−0.0940526	−	0.894851i
$50$	−2.26252	+	6.22816i	−0.319969	+	0.880795i
$51$	2.28633	+	7.03661i	0.320151	+	0.985323i
$52$	2.16639	−	6.87799i	0.300425	−	0.953806i
$53$	9.70361	+	7.05009i	1.33289	+	0.968404i	0.999673	+	0.0255546i	$0.00813517\pi$
$53$	9.70361	+	7.05009i	1.33289	+	0.968404i	0.333220	+	0.942849i	$0.391865\pi$
$54$	−4.46852	−	6.61607i	−0.608089	−	0.900333i
$55$	0.840387	+	1.65909i	0.113318	+	0.223711i
$56$	−1.58845	−	1.75761i	−0.212265	−	0.234870i
$57$	2.21156	+	1.60680i	0.292929	+	0.212825i
$58$	−0.620664	+	2.49590i	−0.0814972	+	0.327727i
$59$	0.0129921	−	0.0144292i	0.00169142	−	0.00187852i	−0.742299	−	0.670069i	$-0.766264\pi$
$59$	0.0129921	−	0.0144292i	0.00169142	−	0.00187852i	0.743990	+	0.668191i	$0.232931\pi$
$60$	1.46864	+	0.419167i	0.189600	+	0.0541143i
$61$	4.96396	−	11.1492i	0.635570	−	1.42751i	−0.252405	−	0.967622i	$-0.581221\pi$
$61$	4.96396	−	11.1492i	0.635570	−	1.42751i	0.887975	−	0.459892i	$-0.152112\pi$
$62$	6.58760	+	5.14027i	0.836626	+	0.652815i
$63$	−0.712965	+	0.641957i	−0.0898252	+	0.0808790i
$64$	7.83127	+	1.63437i	0.978909	+	0.204296i
$65$	1.86863	−	0.771961i	0.231775	−	0.0957500i
$66$	−5.48097	+	3.28018i	−0.674660	+	0.403762i
$67$	1.89884	−	3.28888i	0.231980	−	0.401801i	−0.726411	−	0.687261i	$-0.758813\pi$
$67$	1.89884	−	3.28888i	0.231980	−	0.401801i	0.958391	+	0.285460i	$0.0921463\pi$
$68$	−5.08941	+	9.60029i	−0.617181	+	1.16421i
$69$	10.7837	−	2.29215i	1.29821	−	0.275943i
$70$	0.0920359	−	0.657809i	0.0110004	−	0.0786232i
$71$	8.93623	+	3.97867i	1.06054	+	0.472181i	0.861472	−	0.507806i	$-0.169543\pi$
$71$	8.93623	+	3.97867i	1.06054	+	0.472181i	0.199064	+	0.979987i	$0.436210\pi$
$72$	0.667728	−	3.17020i	0.0786925	−	0.373612i
$73$	1.23344	+	3.79615i	0.144364	+	0.444306i	0.996929	−	0.0783154i	$-0.0249541\pi$
$73$	1.23344	+	3.79615i	0.144364	+	0.444306i	−0.852565	+	0.522621i	$0.824954\pi$
$74$	0.404275	−	1.62572i	0.0469960	−	0.188987i
$75$	−2.59536	−	5.82926i	−0.299686	−	0.673105i
$76$	0.563631	+	3.97491i	0.0646529	+	0.455954i
$77$	1.74308	+	2.16302i	0.198643	+	0.246498i
$78$	3.09639	+	6.21540i	0.350598	+	0.703756i
$79$	−3.38131	−	2.45667i	−0.380427	−	0.276396i	0.381094	−	0.924536i	$-0.375547\pi$
$79$	−3.38131	−	2.45667i	−0.380427	−	0.276396i	−0.761521	+	0.648140i	$0.775547\pi$
$80$	1.05790	+	1.97784i	0.118276	+	0.221130i
$81$	4.15880	+	0.883980i	0.462089	+	0.0982200i
$82$	7.01243	+	8.34665i	0.774394	+	0.921733i
$83$	1.83934	+	2.53163i	0.201893	+	0.277882i	0.897943	−	0.440111i	$-0.145061\pi$
$83$	1.83934	+	2.53163i	0.201893	+	0.277882i	−0.696050	+	0.717993i	$0.745061\pi$
$84$	2.27592	+	0.156331i	0.248323	+	0.0170571i
$85$	−2.97994	+	0.633405i	−0.323220	+	0.0687025i
$86$	−4.12832	−	7.75271i	−0.445168	−	0.835997i
$87$	−1.23832	−	2.14483i	−0.132762	−	0.229950i
$88$	−9.05990	−	2.43273i	−0.965789	−	0.259329i
$89$	−6.41766	−	3.70524i	−0.680271	−	0.392754i	0.119686	−	0.992812i	$-0.461811\pi$
$89$	−6.41766	−	3.70524i	−0.680271	−	0.392754i	−0.799957	+	0.600057i	$0.795144\pi$
$90$	0.801758	−	0.426936i	0.0845127	−	0.0450030i
$91$	2.49042	−	1.70818i	0.261066	−	0.179066i
$92$	13.4341	+	9.03734i	1.40060	+	0.942207i
$93$	−8.00217	+	0.841061i	−0.829786	+	0.0872140i
$94$	0.457267	−	1.25874i	0.0471635	−	0.129829i
$95$	−0.753179	+	0.836491i	−0.0772746	+	0.0858221i
$96$	−6.52047	+	4.10241i	−0.665492	+	0.418701i
$97$	−18.1917	−	1.91202i	−1.84709	−	0.194137i	−0.884762	−	0.466043i	$-0.845679\pi$
$97$	−18.1917	−	1.91202i	−1.84709	−	0.194137i	−0.962324	+	0.271906i	$0.912346\pi$
$98$	0.626819	+	8.88528i	0.0633182	+	0.897549i
$99$	−0.991958	+	3.66716i	−0.0996955	+	0.368564i
$100$	3.49978	−	8.69307i	0.349978	−	0.869307i
$101$	−1.62883	−	3.65841i	−0.162075	−	0.364026i	0.814193	−	0.580595i	$-0.197180\pi$
$101$	−1.62883	−	3.65841i	−0.162075	−	0.364026i	−0.976267	+	0.216569i	$0.930513\pi$
$102$	−2.89029	−	10.0563i	−0.286182	−	0.995719i
$103$	19.1859	−	6.23386i	1.89044	−	0.614241i	0.911036	−	0.412328i	$-0.135284\pi$
$103$	19.1859	−	6.23386i	1.89044	−	0.614241i	0.979403	−	0.201913i	$-0.0647158\pi$
$104$	−3.39542	+	9.61619i	−0.332948	+	0.942945i
$105$	0.375954	+	0.517457i	0.0366894	+	0.0504986i
$106$	−13.3731	−	10.4349i	−1.29891	−	1.01353i
$107$	−9.31538	−	10.3458i	−0.900552	−	1.00016i	−0.999987	−	0.00512028i	$-0.998370\pi$
$107$	−9.31538	−	10.3458i	−0.900552	−	1.00016i	0.0994349	−	0.995044i	$-0.468297\pi$
$108$	5.99495	+	9.56769i	0.576865	+	0.920651i
$109$	−14.6283			−1.40114			−0.700569	−	0.713585i	$-0.747070\pi$
$109$	−14.6283			−1.40114			−0.700569	+	0.713585i	$0.747070\pi$
$110$	−1.10735	−	2.38567i	−0.105581	−	0.227465i
$111$	0.806590	+	1.39706i	0.0765582	+	0.132603i
$112$	2.15986	+	2.56119i	0.204088	+	0.242009i
$113$	−14.9047	+	3.16809i	−1.40211	+	0.298028i	−0.846047	−	0.533109i	$-0.821024\pi$
$113$	−14.9047	+	3.16809i	−1.40211	+	0.298028i	−0.556067	+	0.831137i	$0.687690\pi$
$114$	−3.04788	−	2.37824i	−0.285460	−	0.222743i
$115$	0.474510	+	4.51466i	0.0442482	+	0.420994i
$116$	0.998249	−	3.49756i	0.0926851	−	0.324741i
$117$	3.89172	+	1.38224i	0.359790	+	0.127788i
$118$	−0.0190624	+	0.0197640i	−0.00175483	+	0.00181942i
$119$	−4.15712	+	1.85087i	−0.381083	+	0.169669i
$120$	−2.05542	−	0.663650i	−0.187633	−	0.0605827i
$121$	10.4454	+	3.44886i	0.949577	+	0.313533i
$122$	−7.55655	+	15.5175i	−0.684137	+	1.40488i
$123$	−10.4401	−	1.09730i	−0.941350	−	0.0989399i
$124$	−9.06157	−	7.58456i	−0.813753	−	0.681114i
$125$	5.16534	−	1.67832i	0.462002	−	0.150113i
$126$	1.03882	−	0.872762i	0.0925453	−	0.0777519i
$127$	1.17991	+	11.2261i	0.104700	+	0.996156i	0.913159	+	0.407603i	$0.133635\pi$
$127$	1.17991	+	11.2261i	0.104700	+	0.996156i	−0.808459	+	0.588553i	$0.799698\pi$
$128$	−10.9893	−	2.68968i	−0.971330	−	0.237737i
$129$	8.04404	+	2.61367i	0.708238	+	0.230121i
$130$	−2.67851	+	1.00048i	−0.234921	+	0.0877475i
$131$	−19.8413			−1.73354			−0.866770	−	0.498708i	$-0.833808\pi$
$131$	−19.8413			−1.73354			−0.866770	+	0.498708i	$0.833808\pi$
$132$	7.90574	−	4.37040i	0.688106	−	0.380395i
$133$	−0.840654	+	1.45606i	−0.0728939	+	0.126256i
$134$	−2.84324	+	4.55638i	−0.245619	+	0.393612i
$135$	−0.978230	+	3.01068i	−0.0841927	+	0.259118i
$136$	7.65875	−	13.3221i	0.656732	−	1.14236i
$137$	−8.23334	+	18.4924i	−0.703422	+	1.57991i	0.107131	+	0.994245i	$0.465834\pi$
$137$	−8.23334	+	18.4924i	−0.703422	+	1.57991i	−0.810552	+	0.585666i	$0.800833\pi$
$138$	−15.3527	+	2.71684i	−1.30691	+	0.231273i
$139$	−5.82074	+	6.46458i	−0.493709	+	0.548319i	−0.937579	−	0.347772i	$-0.886938\pi$
$139$	−5.82074	+	6.46458i	−0.493709	+	0.548319i	0.443871	+	0.896091i	$0.353605\pi$
$140$	−0.161976	+	0.925273i	−0.0136895	+	0.0781999i
$141$	0.524535	+	1.17812i	0.0441738	+	0.0992159i
$142$	−12.4374	−	6.05665i	−1.04372	−	0.508263i
$143$	4.61280	−	11.0328i	0.385742	−	0.922607i
$144$	−1.09746	+	4.44833i	−0.0914552	+	0.370695i
$145$	0.931619	−	0.414784i	0.0773668	−	0.0344459i
$146$	−1.55927	−	5.42522i	−0.129046	−	0.448994i
$147$	−6.37426	−	5.73941i	−0.525740	−	0.473378i
$148$	−0.650219	+	2.27817i	−0.0534476	+	0.187264i
$149$	−3.67180	−	1.63479i	−0.300805	−	0.133927i	0.250784	−	0.968043i	$-0.419312\pi$
$149$	−3.67180	−	1.63479i	−0.300805	−	0.133927i	−0.551589	+	0.834116i	$0.685978\pi$
$150$	3.38560	+	8.36481i	0.276433	+	0.682984i
$151$	8.00230	+	2.60010i	0.651218	+	0.211593i	0.615951	−	0.787785i	$-0.288772\pi$
$151$	8.00230	+	2.60010i	0.651218	+	0.211593i	0.0352666	+	0.999378i	$0.488772\pi$
$152$	−0.603903	−	5.64540i	−0.0489830	−	0.457902i
$153$	−5.38932	−	3.11153i	−0.435701	−	0.251552i
$154$	−2.35877	−	3.14168i	−0.190075	−	0.253164i
$155$		−	3.31313i		−	0.266117i
$156$	−4.07503	−	8.93486i	−0.326264	−	0.715362i
$157$	−0.138568	+	0.426468i	−0.0110589	+	0.0340358i	−0.956434	−	0.291950i	$-0.905696\pi$
$157$	−0.138568	+	0.426468i	−0.0110589	+	0.0340358i	0.945375	+	0.325985i	$0.105696\pi$
$158$	4.65997	+	3.63615i	0.370727	+	0.289276i
$159$	16.2447	−	1.70739i	1.28829	−	0.135405i
$160$	−1.39932	−	2.84674i	−0.110626	−	0.225055i
$161$	2.09533	+	6.44876i	0.165135	+	0.508234i
$162$	−5.83511	−	1.45104i	−0.458450	−	0.114004i
$163$	1.66335	−	15.8257i	0.130283	−	1.23956i	−0.712640	−	0.701530i	$-0.752501\pi$
$163$	1.66335	−	15.8257i	0.130283	−	1.23956i	0.842923	−	0.538034i	$-0.180833\pi$
$164$	−9.50656	−	12.1370i	−0.742338	−	0.947740i
$165$	2.36233	+	0.913258i	0.183907	+	0.0710970i
$166$	−2.47694	−	3.66734i	−0.192248	−	0.284641i
$167$	−6.47911	−	14.5523i	−0.501369	−	1.12609i	−0.970090	−	0.242746i	$-0.921952\pi$
$167$	−6.47911	−	14.5523i	−0.501369	−	1.12609i	0.468721	−	0.883346i	$-0.344715\pi$
$168$	−3.20916	−	0.331303i	−0.247592	−	0.0255606i
$169$	−11.5720	−	5.92357i	−0.890154	−	0.455659i
$170$	4.24250	−	0.750762i	0.325385	−	0.0575808i
$171$	−2.28666	+	0.240338i	−0.174866	+	0.0183791i
$172$	5.45900	+	11.1577i	0.416245	+	0.850767i
$173$	1.40841	+	6.62604i	0.107079	+	0.503769i	0.998699	+	0.0509845i	$0.0162359\pi$
$173$	1.40841	+	6.62604i	0.107079	+	0.503769i	−0.891620	+	0.452784i	$0.850431\pi$
$174$	1.64623	+	3.09151i	0.124800	+	0.234367i
$175$	3.39875	−	1.96227i	0.256921	−	0.148334i
$176$	12.6872	+	3.87764i	0.956330	+	0.292288i
$177$		−	0.0264417i		−	0.00198748i
$178$	8.89096	+	5.54808i	0.666405	+	0.415846i
$179$	−4.61711	+	4.15726i	−0.345099	+	0.310728i	−0.823393	−	0.567471i	$-0.807922\pi$
$179$	−4.61711	+	4.15726i	−0.345099	+	0.310728i	0.478295	+	0.878199i	$0.341255\pi$
$180$	−1.15389	+	0.564550i	−0.0860059	+	0.0420791i
$181$	−11.1470	+	8.09874i	−0.828547	+	0.601975i	−0.919148	−	0.393913i	$-0.871121\pi$
$181$	−11.1470	+	8.09874i	−0.828547	+	0.601975i	0.0906009	+	0.995887i	$0.471121\pi$
$182$	−3.60273	+	2.29357i	−0.267052	+	0.170010i
$183$	−5.13593	−	15.8068i	−0.379659	−	1.16847i
$184$	−18.5493	−	13.4246i	−1.36747	−	0.989672i
$185$	−0.606819	+	0.270173i	−0.0446142	+	0.0198635i
$186$	11.3509	−	0.800757i	0.832288	−	0.0587144i
$187$	−9.84975	+	15.0887i	−0.720285	+	1.10339i
$188$	−0.707323	+	1.75691i	−0.0515869	+	0.128136i
$189$	−0.494257	+	4.70254i	−0.0359519	+	0.342060i
$190$	1.10509	−	1.14576i	0.0801715	−	0.0831224i
$191$	−6.66337	−	5.99973i	−0.482145	−	0.434125i	0.391873	−	0.920019i	$-0.371827\pi$
$191$	−6.66337	−	5.99973i	−0.482145	−	0.434125i	−0.874018	+	0.485894i	$0.838494\pi$
$192$	9.41482	−	5.48213i	0.679456	−	0.395639i
$193$	−1.43575	−	13.6602i	−0.103347	−	0.983285i	−0.916174	−	0.400780i	$-0.868739\pi$
$193$	−1.43575	−	13.6602i	−0.103347	−	0.983285i	0.812827	−	0.582505i	$-0.197927\pi$
$194$	25.6191	+	3.58444i	1.83934	+	0.257348i
$195$	1.18767	−	2.48402i	0.0850511	−	0.177884i
$196$	−0.455132	−	12.5887i	−0.0325094	−	0.899192i
$197$	−9.00373	+	15.5949i	−0.641489	+	1.11109i	0.343611	+	0.939112i	$0.388350\pi$
$197$	−9.00373	+	15.5949i	−0.641489	+	1.11109i	−0.985100	+	0.171980i	$0.944984\pi$
$198$	1.57982	−	5.13501i	0.112273	−	0.364929i
$199$	−1.78009	+	1.02774i	−0.126187	+	0.0728543i	−0.561765	−	0.827297i	$-0.689877\pi$
$199$	−1.78009	+	1.02774i	−0.126187	+	0.0728543i	0.435578	+	0.900151i	$0.356544\pi$
$200$	−5.36801	+	12.1169i	−0.379576	+	0.856798i
$201$	−1.07527	−	5.05876i	−0.0758439	−	0.356817i
$202$	2.12478	+	5.24971i	0.149499	+	0.369368i
$203$	1.23233	−	0.895337i	0.0864923	−	0.0628403i
$204$	3.59751	+	14.3535i	0.251876	+	1.00495i
$205$	0.898699	−	4.22804i	0.0627678	−	0.295299i
$206$	−27.4192	+	7.88061i	−1.91039	+	0.549068i
$207$	−5.45042	+	7.50185i	−0.378830	+	0.521415i
$208$	5.26526	−	13.4267i	0.365080	−	0.930976i
$209$	0.332633	+	6.64927i	0.0230087	+	0.459939i
$210$	−0.506278	−	0.749592i	−0.0349365	−	0.0517268i
$211$	−6.87524	+	3.06105i	−0.473311	+	0.210732i	−0.629507	−	0.776994i	$-0.716743\pi$
$211$	−6.87524	+	3.06105i	−0.473311	+	0.210732i	0.156197	+	0.987726i	$0.450077\pi$
$212$	18.3953	+	15.3970i	1.26340	+	1.05747i
$213$	12.6693	−	4.11650i	0.868086	−	0.282058i
$214$	12.6646	+	15.0742i	0.865733	+	1.03045i
$215$	−1.41653	+	3.18159i	−0.0966068	+	0.216982i
$216$	−8.00927	−	13.8135i	−0.544962	−	0.939887i
$217$	−1.02891	−	4.84064i	−0.0698470	−	0.328604i
$218$	20.6754	+	0.709252i	1.40031	+	0.0480366i
$219$	4.70749	+	2.71787i	0.318103	+	0.183657i
$220$	1.44944	+	3.42555i	0.0977210	+	0.230951i
$221$	15.5296	+	11.9394i	1.04464	+	0.803134i
$222$	−1.07228	−	2.01368i	−0.0719670	−	0.135149i
$223$	−17.8687	−	19.8452i	−1.19658	−	1.32893i	−0.931077	−	0.364822i	$-0.881130\pi$
$223$	−17.8687	−	19.8452i	−1.19658	−	1.32893i	−0.265500	−	0.964111i	$-0.585537\pi$
$224$	−2.92853	−	3.72465i	−0.195671	−	0.248864i
$225$	4.90298	+	2.18295i	0.326865	+	0.145530i
$226$	21.2196	−	3.75507i	1.41151	−	0.249783i
$227$	6.36237	+	5.72871i	0.422286	+	0.380228i	0.852698	−	0.522405i	$-0.174965\pi$
$227$	6.36237	+	5.72871i	0.422286	+	0.380228i	−0.430412	+	0.902633i	$0.641632\pi$
$228$	4.19251	+	3.50914i	0.277656	+	0.232399i
$229$	1.41199	−	1.94343i	0.0933066	−	0.128426i	−0.759811	−	0.650144i	$-0.774709\pi$
$229$	1.41199	−	1.94343i	0.0933066	−	0.128426i	0.853118	+	0.521718i	$0.174709\pi$
$230$	−0.451771	−	6.40394i	−0.0297889	−	0.422263i
$231$	3.73508	+	0.600680i	0.245751	+	0.0395218i
$232$	−1.58049	+	4.89499i	−0.103764	+	0.321372i
$233$	12.5086	−	17.2167i	0.819468	−	1.12790i	−0.170325	−	0.985388i	$-0.554482\pi$
$233$	12.5086	−	17.2167i	0.819468	−	1.12790i	0.989793	−	0.142513i	$-0.0455183\pi$
$234$	−5.43347	−	2.14232i	−0.355197	−	0.140048i
$235$	−0.505025	+	0.164093i	−0.0329442	+	0.0107042i
$236$	0.0279007	−	0.0270099i	0.00181618	−	0.00175819i
$237$	−5.66061	+	0.594954i	−0.367696	+	0.0386464i
$238$	5.96534	−	2.41443i	0.386676	−	0.156504i
$239$	15.3375	+	4.98346i	0.992102	+	0.322353i	0.759705	−	0.650268i	$-0.225343\pi$
$239$	15.3375	+	4.98346i	0.992102	+	0.322353i	0.232397	+	0.972621i	$0.425343\pi$
$240$	2.87292	+	1.03765i	0.185446	+	0.0669799i
$241$	11.1246	+	19.2684i	0.716600	+	1.24119i	0.962339	+	0.271852i	$0.0876361\pi$
$241$	11.1246	+	19.2684i	0.716600	+	1.24119i	−0.245739	+	0.969336i	$0.579031\pi$
$242$	−14.5961	−	5.38100i	−0.938270	−	0.345904i
$243$	−9.65270	+	5.57299i	−0.619221	+	0.357507i
$244$	11.4326	−	21.5657i	0.731900	−	1.38060i
$245$	2.62467	−	2.36327i	0.167684	−	0.150984i
$246$	14.7026	+	2.05709i	0.937405	+	0.131155i
$247$	7.23489	+	0.196235i	0.460345	+	0.0124861i
$248$	12.4397	+	11.1592i	0.789924	+	0.708612i
$249$	4.16839	+	0.886019i	0.264161	+	0.0561492i
$250$	−7.38197	+	2.12167i	−0.466877	+	0.134186i
$251$	1.86487	+	0.196006i	0.117710	+	0.0123718i	0.163200	−	0.986593i	$-0.447818\pi$
$251$	1.86487	+	0.196006i	0.117710	+	0.0123718i	−0.0454905	+	0.998965i	$0.514485\pi$
$252$	−1.51056	+	1.18318i	−0.0951565	+	0.0745333i
$253$	20.8259	+	16.9466i	1.30931	+	1.06542i
$254$	−1.12337	−	15.9240i	−0.0704864	−	0.999160i
$255$	−2.43862	+	3.35647i	−0.152712	+	0.210190i
$256$	15.4017	+	4.33437i	0.962608	+	0.270898i
$257$	4.63312	+	0.984800i	0.289006	+	0.0614301i	0.350133	−	0.936700i	$-0.386136\pi$
$257$	4.63312	+	0.984800i	0.289006	+	0.0614301i	−0.0611273	+	0.998130i	$0.519470\pi$
$258$	−11.2426	−	4.08413i	−0.699932	−	0.254267i
$259$	−0.802686	+	0.583186i	−0.0498765	+	0.0362374i
$260$	3.83427	−	1.28419i	0.237791	−	0.0796419i
$261$	1.98114	+	0.643711i	0.122629	+	0.0398447i
$262$	28.0433	+	0.962002i	1.73252	+	0.0594327i
$263$	−10.4803	+	18.1523i	−0.646240	+	1.11932i	0.337774	+	0.941227i	$0.390326\pi$
$263$	−10.4803	+	18.1523i	−0.646240	+	1.11932i	−0.984014	+	0.178093i	$0.943007\pi$
$264$	−11.3857	+	5.79374i	−0.700743	+	0.356580i
$265$			6.72579i			0.413162i
$266$	1.25876	−	2.01720i	0.0771796	−	0.123683i
$267$	−9.87125	+	2.09820i	−0.604111	+	0.128408i
$268$	4.23951	−	6.30206i	0.258969	−	0.384960i
$269$	−25.0401	−	11.1486i	−1.52672	−	0.679740i	−0.539925	−	0.841713i	$-0.681548\pi$
$269$	−25.0401	−	11.1486i	−1.52672	−	0.679740i	−0.986795	+	0.161973i	$0.948214\pi$
$270$	1.52859	−	4.20782i	0.0930268	−	0.256080i
$271$	1.61713	−	7.60801i	0.0982338	−	0.462154i	−0.901344	−	0.433104i	$-0.857418\pi$
$271$	1.61713	−	7.60801i	0.0982338	−	0.462154i	0.999578	−	0.0290501i	$-0.00924824\pi$
$272$	−11.4707	+	18.4579i	−0.695511	+	1.11918i
$273$	0.963822	−	3.99810i	0.0583332	−	0.241976i
$274$	12.5335	−	25.7376i	0.757174	−	1.55487i
$275$	7.08800	−	13.8297i	0.427423	−	0.833960i
$276$	21.8309	−	3.09556i	1.31407	−	0.186331i
$277$	6.40858	+	0.673569i	0.385054	+	0.0404709i	0.295078	−	0.955473i	$-0.404654\pi$
$277$	6.40858	+	0.673569i	0.385054	+	0.0404709i	0.0899761	+	0.995944i	$0.471321\pi$
$278$	8.54036	−	8.85471i	0.512217	−	0.531070i
$279$	4.52846	−	5.02936i	0.271112	−	0.301100i
$280$	0.273795	−	1.29991i	0.0163624	−	0.0776846i
$281$	15.1460	−	11.0042i	0.903535	−	0.656457i	−0.0358362	−	0.999358i	$-0.511409\pi$
$281$	15.1460	−	11.0042i	0.903535	−	0.656457i	0.939372	+	0.342901i	$0.111409\pi$
$282$	−0.684247	−	1.69057i	−0.0407463	−	0.100672i
$283$	6.34493	+	7.04676i	0.377167	+	0.418886i	0.901604	−	0.432563i	$-0.142391\pi$
$283$	6.34493	+	7.04676i	0.377167	+	0.418886i	−0.524437	+	0.851449i	$0.675724\pi$
$284$	17.2852	+	9.16339i	1.02569	+	0.543747i
$285$			1.53288i			0.0908002i
$286$	−7.05458	+	15.3699i	−0.417146	+	0.908840i
$287$		−	6.45646i		−	0.381113i
$288$	1.76681	−	6.23399i	0.104110	−	0.367341i
$289$	−8.37544	−	9.30187i	−0.492673	−	0.547169i
$290$	−1.33684	+	0.541078i	−0.0785022	+	0.0317732i
$291$	−20.1529	+	14.6420i	−1.18139	+	0.858327i
$292$	1.94081	+	7.74351i	0.113577	+	0.453155i
$293$	3.34260	−	3.71233i	0.195277	−	0.216877i	−0.637552	−	0.770407i	$-0.720053\pi$
$293$	3.34260	−	3.71233i	0.195277	−	0.216877i	0.832829	+	0.553530i	$0.186720\pi$
$294$	8.73098	+	8.42103i	0.509201	+	0.491124i
$295$	0.0108280	+	0.00113807i	0.000630432	+	6.62611e-5i
$296$	1.02946	−	3.18840i	0.0598364	−	0.185322i
$297$	8.46064	+	16.7029i	0.490936	+	0.969202i
$298$	5.11039	+	2.48861i	0.296037	+	0.144161i
$299$	20.1120	−	21.1539i	1.16311	−	1.22336i
$300$	−4.37958	−	11.9868i	−0.252855	−	0.692060i
$301$	−1.08156	+	5.08836i	−0.0623403	+	0.293288i
$302$	−11.1842	−	4.06293i	−0.643580	−	0.233795i
$303$	−4.98213	−	2.21819i	−0.286216	−	0.127431i
$304$	0.579829	+	8.00838i	0.0332555	+	0.459312i
$305$	6.69402	−	1.42286i	0.383299	−	0.0814726i
$306$	7.46631	+	4.65908i	0.426820	+	0.266342i
$307$			26.8687i			1.53348i	0.641958	+	0.766740i	$0.278123\pi$
$307$			26.8687i			1.53348i	−0.641958	+	0.766740i	$0.721877\pi$
$308$	3.18152	+	4.55476i	0.181284	+	0.259532i
$309$	13.7362	−	23.7918i	0.781425	−	1.35347i
$310$	−0.160637	+	4.68272i	−0.00912356	+	0.265961i
$311$	−8.74538	−	2.84155i	−0.495905	−	0.161129i	0.0503776	−	0.998730i	$-0.483958\pi$
$311$	−8.74538	−	2.84155i	−0.495905	−	0.161129i	−0.546283	+	0.837601i	$0.683958\pi$
$312$	5.32638	+	12.8260i	0.301547	+	0.726127i
$313$	−15.8563	+	11.5203i	−0.896250	+	0.651164i	−0.937500	−	0.347985i	$-0.886866\pi$
$313$	−15.8563	+	11.5203i	−0.896250	+	0.651164i	0.0412499	+	0.999149i	$0.486866\pi$
$314$	0.216526	−	0.596043i	0.0122193	−	0.0336367i
$315$	−0.526219	−	0.111851i	−0.0296491	−	0.00630211i
$316$	−6.41002	−	5.36521i	−0.360592	−	0.301816i
$317$	6.94100	−	9.55347i	0.389846	−	0.536576i	−0.568314	−	0.822812i	$-0.692404\pi$
$317$	6.94100	−	9.55347i	0.389846	−	0.536576i	0.958159	+	0.286236i	$0.0924040\pi$
$318$	−23.0428	+	1.62557i	−1.29217	+	0.0911573i
$319$	2.17493	−	5.62589i	0.121773	−	0.314989i
$320$	1.83974	+	4.09138i	0.102845	+	0.228715i
$321$	−18.8550	−	1.98174i	−1.05238	−	0.110610i
$322$	−2.64883	−	9.21616i	−0.147614	−	0.513596i
$323$	−10.6674	−	2.26743i	−0.593552	−	0.126163i
$324$	8.17689	+	2.33379i	0.454272	+	0.129655i
$325$	−14.3963	−	8.84060i	−0.798561	−	0.490388i
$326$	−3.11825	+	22.2871i	−0.172704	+	1.23437i
$327$	−14.8043	+	13.3299i	−0.818682	+	0.737145i
$328$	12.8479	+	17.6151i	0.709409	+	0.972634i
$329$	−0.686905	+	0.396585i	−0.0378703	+	0.0218644i
$330$	−3.29459	−	1.40532i	−0.181361	−	0.0773603i
$331$	−4.72156	−	8.17798i	−0.259520	−	0.449503i	0.706593	−	0.707620i	$-0.250231\pi$
$331$	−4.72156	−	8.17798i	−0.259520	−	0.449503i	−0.966114	+	0.258117i	$0.916898\pi$
$332$	3.32305	+	5.30345i	0.182376	+	0.291064i
$333$	−1.29043	−	0.419287i	−0.0707153	−	0.0229768i
$334$	8.45189	+	20.8821i	0.462467	+	1.14262i
$335$	2.11787	−	0.222597i	0.115712	−	0.0121618i
$336$	4.51971	+	0.623854i	0.246570	+	0.0340340i
$337$	−4.83008	+	1.56939i	−0.263111	+	0.0854900i	−0.437602	−	0.899169i	$-0.644172\pi$
$337$	−4.83008	+	1.56939i	−0.263111	+	0.0854900i	0.174491	+	0.984659i	$0.444172\pi$
$338$	16.0685	+	8.93334i	0.874009	+	0.485909i
$339$	−12.1972	+	16.7879i	−0.662459	+	0.911796i
$340$	−6.03268	+	0.855416i	−0.327168	+	0.0463915i
$341$	−13.8235	−	13.8894i	−0.748585	−	0.752151i
$342$	3.24358	−	0.228821i	0.175393	−	0.0123732i
$343$	6.54707	−	9.01127i	0.353509	−	0.486563i
$344$	−7.17467	−	16.0348i	−0.386832	−	0.864538i
$345$	4.59416	+	4.13660i	0.247341	+	0.222707i
$346$	−1.66936	−	9.43342i	−0.0897452	−	0.507144i
$347$	3.16529	+	1.40928i	0.169922	+	0.0756540i	0.489935	−	0.871759i	$-0.337021\pi$
$347$	3.16529	+	1.40928i	0.169922	+	0.0756540i	−0.320013	+	0.947413i	$0.603687\pi$
$348$	−2.17686	−	4.44930i	−0.116692	−	0.238507i
$349$	−0.852548	−	0.946850i	−0.0456358	−	0.0506837i	0.719895	−	0.694083i	$-0.244190\pi$
$349$	−0.852548	−	0.946850i	−0.0456358	−	0.0506837i	−0.765531	+	0.643400i	$0.777523\pi$
$350$	−4.89887	+	2.60865i	−0.261856	+	0.139438i
$351$	18.8125	−	7.77175i	1.00414	−	0.414825i
$352$	−17.7438	−	6.09572i	−0.945747	−	0.324903i
$353$	−13.0387	−	7.52788i	−0.693978	−	0.400668i	0.111123	−	0.993807i	$-0.464555\pi$
$353$	−13.0387	−	7.52788i	−0.693978	−	0.400668i	−0.805101	+	0.593138i	$0.797889\pi$
$354$	−0.00128202	+	0.0373722i	−6.81388e−5	+	0.00198631i
$355$	1.14044	+	5.36533i	0.0605280	+	0.284762i
$356$	−12.2973	−	8.27263i	−0.651757	−	0.438448i
$357$	−2.52056	+	5.66128i	−0.133402	+	0.299627i
$358$	6.72730	−	5.65194i	0.355549	−	0.298714i
$359$	21.7267	−	7.05944i	1.14669	−	0.372583i	0.326796	−	0.945095i	$-0.394031\pi$
$359$	21.7267	−	7.05944i	1.14669	−	0.372583i	0.819896	+	0.572512i	$0.194031\pi$
$360$	1.65826	−	0.741979i	0.0873979	−	0.0391057i
$361$	13.6763	−	6.08909i	0.719807	−	0.320479i
$362$	16.1476	−	10.9062i	0.848698	−	0.573215i
$363$	13.7138	−	6.02785i	0.719787	−	0.316380i
$364$	5.20324	−	3.06701i	0.272724	−	0.160755i
$365$	−1.31560	+	1.81077i	−0.0688616	+	0.0947799i
$366$	6.49265	+	22.5900i	0.339376	+	1.18080i
$367$	5.12086	−	24.0918i	0.267307	−	1.25758i	−0.615610	−	0.788051i	$-0.711090\pi$
$367$	5.12086	−	24.0918i	0.267307	−	1.25758i	0.882917	−	0.469529i	$-0.155576\pi$
$368$	25.5664	+	19.8734i	1.33274	+	1.03597i
$369$	7.14321	−	5.18984i	0.371861	−	0.270172i
$370$	0.870766	−	0.352436i	0.0452690	−	0.0183223i
$371$	2.08873	+	9.82669i	0.108441	+	0.510176i
$372$	−16.0820	+	0.581429i	−0.833812	+	0.0301457i
$373$	16.8491	−	9.72785i	0.872415	−	0.503689i	0.00426520	−	0.999991i	$-0.498642\pi$
$373$	16.8491	−	9.72785i	0.872415	−	0.503689i	0.868150	+	0.496302i	$0.165309\pi$
$374$	14.6530	−	20.8485i	0.757691	−	1.07805i
$375$	3.69815	−	6.40538i	0.190971	−	0.330772i
$376$	1.08490	−	2.44890i	0.0559496	−	0.126292i
$377$	−5.91570	−	2.82845i	−0.304674	−	0.145673i
$378$	0.926576	−	6.62252i	0.0476579	−	0.340626i
$379$	1.30103	+	12.3784i	0.0668293	+	0.635838i	0.975753	+	0.218875i	$0.0702388\pi$
$379$	1.30103	+	12.3784i	0.0668293	+	0.635838i	−0.908924	+	0.416963i	$0.863095\pi$
$380$	−1.61746	+	1.56582i	−0.0829741	+	0.0803249i
$381$	11.4238	+	10.2860i	0.585258	+	0.526969i
$382$	9.12700	+	8.80298i	0.466978	+	0.450400i
$383$	2.45663	−	23.3733i	0.125528	−	1.19432i	−0.732518	−	0.680747i	$-0.761655\pi$
$383$	2.45663	−	23.3733i	0.125528	−	1.19432i	0.858046	−	0.513572i	$-0.171678\pi$
$384$	−13.5725	+	7.29187i	−0.692621	+	0.372112i
$385$	−0.406743	+	1.50369i	−0.0207295	+	0.0766349i
$386$	1.36695	+	19.3767i	0.0695757	+	0.986250i
$387$	−6.49897	+	2.89353i	−0.330361	+	0.147086i
$388$	−36.0358	−	6.30833i	−1.82944	−	0.320257i
$389$	−9.35014	−	28.7768i	−0.474071	−	1.45904i	−0.847207	−	0.531264i	$-0.821717\pi$
$389$	−9.35014	−	28.7768i	−0.474071	−	1.45904i	0.373136	−	0.927777i	$-0.378283\pi$
$390$	−1.79907	+	3.45328i	−0.0910997	+	0.174864i
$391$	−35.5825	+	25.8522i	−1.79948	+	1.30740i
$392$	0.0329144	+	17.8147i	0.00166243	+	0.899778i
$393$	−20.0801	+	18.0802i	−1.01290	+	0.912023i
$394$	13.4818	−	21.6050i	0.679205	−	1.08845i
$395$		−	2.34366i		−	0.117922i
$396$	−2.48186	+	7.18113i	−0.124718	+	0.360865i
$397$	−20.5488	+	11.8639i	−1.03132	+	0.595430i	−0.917361	−	0.398056i	$-0.869685\pi$
$397$	−20.5488	+	11.8639i	−1.03132	+	0.595430i	−0.113954	+	0.993486i	$0.536352\pi$
$398$	2.56578	−	1.36628i	0.128611	−	0.0684853i
$399$	0.476045	+	2.23961i	0.0238321	+	0.112121i
$400$	8.17454	−	16.8656i	0.408727	−	0.843280i
$401$	−18.8469	+	1.98089i	−0.941169	+	0.0989208i	−0.562671	−	0.826681i	$-0.690226\pi$
$401$	−18.8469	+	1.98089i	−0.941169	+	0.0989208i	−0.378498	+	0.925602i	$0.623559\pi$
$402$	1.27450	+	7.20210i	0.0635662	+	0.359208i
$403$	−16.2120	+	13.8201i	−0.807576	+	0.688427i
$404$	−2.74860	−	7.52287i	−0.136748	−	0.374277i
$405$	0.969715	+	2.17802i	0.0481855	+	0.108227i
$406$	−1.78516	+	1.20570i	−0.0885959	+	0.0598381i
$407$	−1.41666	+	3.66447i	−0.0702212	+	0.181641i
$408$	−4.38873	−	20.4614i	−0.217275	−	1.01299i
$409$	2.56967	−	24.4488i	0.127062	−	1.20891i	−0.726219	−	0.687463i	$-0.758724\pi$
$409$	2.56967	−	24.4488i	0.127062	−	1.20891i	0.853281	−	0.521451i	$-0.174609\pi$
$410$	−1.47520	+	5.93227i	−0.0728550	+	0.292974i
$411$	8.51857	+	26.2175i	0.420190	+	1.29321i
$412$	39.1359	−	9.80889i	1.92809	−	0.483249i
$413$	0.0161737	−	0.00169992i	0.000795855	−	8.36478e-5i
$414$	8.06725	−	10.3387i	0.396484	−	0.508120i
$415$	−0.542241	+	1.66885i	−0.0266176	+	0.0819204i
$416$	−8.09282	+	18.7218i	−0.396783	+	0.917912i
$417$			11.8465i			0.580124i
$418$	−0.147749	−	9.41408i	−0.00722665	−	0.460458i
$419$	1.61212	+	0.930759i	0.0787573	+	0.0454705i	0.538861	−	0.842394i	$-0.318855\pi$
$419$	1.61212	+	0.930759i	0.0787573	+	0.0454705i	−0.460104	+	0.887865i	$0.652188\pi$
$420$	0.679221	+	1.08401i	0.0331426	+	0.0528941i
$421$	16.1262	+	5.23972i	0.785943	+	0.255368i	0.674375	−	0.738389i	$-0.264413\pi$
$421$	16.1262	+	5.23972i	0.785943	+	0.255368i	0.111567	+	0.993757i	$0.464413\pi$
$422$	9.86575	−	3.99309i	0.480257	−	0.194381i
$423$	−0.990917	−	0.441185i	−0.0481800	−	0.0214511i
$424$	−25.2531	−	22.6537i	−1.22640	−	1.10016i
$425$	18.9178	+	17.0337i	0.917648	+	0.826254i
$426$	−18.1061	+	5.20392i	−0.877245	+	0.252131i
$427$	9.33840	−	4.15772i	0.451917	−	0.201206i
$428$	−17.1690	−	21.9196i	−0.829896	−	1.05953i
$429$	−5.38519	−	15.3689i	−0.259999	−	0.742018i
$430$	2.15636	−	4.42812i	0.103989	−	0.213543i
$431$	−10.4498	−	23.4705i	−0.503347	−	1.13054i	−0.969335	−	0.245745i	$-0.920967\pi$
$431$	−10.4498	−	23.4705i	−0.503347	−	1.13054i	0.465987	−	0.884791i	$-0.345699\pi$
$432$	10.6504	+	19.9120i	0.512418	+	0.958018i
$433$	0.239441	−	0.265926i	0.0115068	−	0.0127796i	−0.737364	−	0.675496i	$-0.763930\pi$
$433$	0.239441	−	0.265926i	0.0115068	−	0.0127796i	0.748871	+	0.662716i	$0.230596\pi$
$434$	1.21954	+	6.89156i	0.0585400	+	0.330806i
$435$	0.564863	−	1.26870i	0.0270831	−	0.0608297i
$436$	−29.1878	−	2.00489i	−1.39784	−	0.0960167i
$437$	−5.02164	+	15.4550i	−0.240218	+	0.739314i
$438$	−6.52171	−	4.06964i	−0.311620	−	0.194455i
$439$	6.79221	−	11.7645i	0.324175	−	0.561487i	−0.657170	−	0.753742i	$-0.728247\pi$
$439$	6.79221	−	11.7645i	0.324175	−	0.561487i	0.981345	+	0.192255i	$0.0615801\pi$
$440$	−1.88252	−	4.91189i	−0.0897457	−	0.234165i
$441$	7.21443			0.343544
$442$	−21.3704	−	17.6279i	−1.01649	−	0.838476i
$443$	−9.26341	−	3.00987i	−0.440118	−	0.143003i	0.0805721	−	0.996749i	$-0.474325\pi$
$443$	−9.26341	−	3.00987i	−0.440118	−	0.143003i	−0.520690	+	0.853746i	$0.674325\pi$
$444$	1.41791	+	2.89809i	0.0672912	+	0.137537i
$445$	−0.434358	−	4.13264i	−0.0205906	−	0.195906i
$446$	24.2931	+	28.9152i	1.15031	+	1.36918i
$447$	−5.20567	+	1.69143i	−0.246220	+	0.0800017i
$448$	3.95855	+	5.40635i	0.187024	+	0.255426i
$449$	−5.46343	−	0.574230i	−0.257835	−	0.0270996i	−0.0252711	−	0.999681i	$-0.508045\pi$
$449$	−5.46343	−	0.574230i	−0.257835	−	0.0270996i	−0.232564	+	0.972581i	$0.574712\pi$
$450$	−6.82394	−	3.32306i	−0.321684	−	0.156650i
$451$	−13.8733	−	21.4745i	−0.653268	−	1.01120i
$452$	−30.1735	+	4.27851i	−1.41924	+	0.201244i
$453$	10.4679	−	4.66062i	0.491826	−	0.218975i
$454$	−8.71471	−	8.40533i	−0.409002	−	0.394482i
$455$	1.59576	+	0.566772i	0.0748105	+	0.0265707i
$456$	−5.75548	−	5.16303i	−0.269525	−	0.241781i
$457$	−0.838777	−	7.98043i	−0.0392363	−	0.373309i	−0.996467	−	0.0839834i	$-0.973236\pi$
$457$	−0.838777	−	7.98043i	−0.0392363	−	0.373309i	0.957231	−	0.289325i	$-0.0934309\pi$
$458$	−2.08990	+	2.67835i	−0.0976547	+	0.125151i
$459$	−30.0007	+	6.37684i	−1.40031	+	0.297645i
$460$	0.328030	+	9.07312i	0.0152945	+	0.423037i
$461$	−1.81373	−	3.14148i	−0.0844740	−	0.146313i	0.820693	−	0.571369i	$-0.193588\pi$
$461$	−1.81373	−	3.14148i	−0.0844740	−	0.146313i	−0.905167	+	0.425056i	$0.860254\pi$
$462$	−5.24998	−	1.03009i	−0.244251	−	0.0479239i
$463$	−0.0234358			−0.00108915			−0.000544576	−	1.00000i	$-0.500173\pi$
$463$	−0.0234358			−0.00108915			−0.000544576		1.00000i	$0.500173\pi$
$464$	2.47117	−	6.84187i	0.114721	−	0.317626i
$465$	−3.01906	−	3.35300i	−0.140005	−	0.155492i
$466$	−18.5142	+	23.7272i	−0.857655	+	1.09914i
$467$	14.3397	+	19.7369i	0.663562	+	0.913315i	0.999593	−	0.0285360i	$-0.00908452\pi$
$467$	14.3397	+	19.7369i	0.663562	+	0.913315i	−0.336030	+	0.941851i	$0.609085\pi$
$468$	7.57571	+	3.29135i	0.350187	+	0.152143i
$469$	3.02518	−	0.982941i	0.139690	−	0.0453880i
$470$	0.721749	−	0.207439i	0.0332918	−	0.00956847i
$471$	0.248379	+	0.557868i	0.0114447	+	0.0257052i
$472$	−0.0407439	+	0.0368225i	−0.00187539	+	0.00169489i
$473$	7.33625	+	19.2481i	0.337321	+	0.885031i
$474$	8.02945	−	0.566444i	0.368805	−	0.0260176i
$475$	9.35397	+	0.983142i	0.429190	+	0.0451097i
$476$	−8.54837	+	3.12328i	−0.391814	+	0.143155i
$477$	−9.19294	+	10.2098i	−0.420916	+	0.467475i
$478$	−21.4362	−	7.78718i	−0.980467	−	0.356177i
$479$	32.1589	−	3.38003i	1.46938	−	0.154438i	0.664237	−	0.747522i	$-0.268757\pi$
$479$	32.1589	−	3.38003i	1.46938	−	0.154438i	0.805140	+	0.593085i	$0.202090\pi$
$480$	−4.01022	−	1.60589i	−0.183041	−	0.0732984i
$481$	3.85325	+	1.84234i	0.175693	+	0.0840034i
$482$	−14.7891	−	27.7730i	−0.673626	−	1.26503i
$483$	7.99691	+	4.61702i	0.363872	+	0.210082i
$484$	20.3689	+	8.31310i	0.925859	+	0.377868i
$485$	−5.12857	−	8.88294i	−0.232876	−	0.403354i
$486$	13.9132	−	7.40875i	0.631114	−	0.336068i
$487$	−0.748539	+	0.159107i	−0.0339196	+	0.00720982i	−0.224840	−	0.974396i	$-0.572186\pi$
$487$	−0.748539	+	0.159107i	−0.0339196	+	0.00720982i	0.190921	+	0.981605i	$0.438853\pi$
$488$	−17.2043	+	29.9263i	−0.778803	+	1.35470i
$489$	−12.7376	−	17.5319i	−0.576016	−	0.792818i
$490$	−3.82425	+	3.21294i	−0.172762	+	0.145146i
$491$	−13.4910	−	2.86760i	−0.608839	−	0.129413i	−0.106833	−	0.994277i	$-0.534071\pi$
$491$	−13.4910	−	2.86760i	−0.608839	−	0.129413i	−0.502006	+	0.864864i	$0.667404\pi$
$492$	−20.6807	−	3.62030i	−0.932357	−	0.163216i
$493$	7.99344	+	5.80758i	0.360007	+	0.261560i
$494$	−10.2162	−	0.628138i	−0.459646	−	0.0282613i
$495$	−1.99057	+	0.758688i	−0.0894696	+	0.0341005i
$496$	−17.0410	−	16.3754i	−0.765165	−	0.735277i
$497$	3.33246	+	7.48482i	0.149481	+	0.335740i
$498$	−5.84857	−	1.45439i	−0.262081	−	0.0651727i
$499$	1.58678	+	4.88362i	0.0710342	+	0.218621i	0.980271	−	0.197659i	$-0.0633338\pi$
$499$	1.58678	+	4.88362i	0.0710342	+	0.218621i	−0.909237	+	0.416280i	$0.863334\pi$
$500$	10.5364	−	2.64081i	0.471203	−	0.118101i
$501$	−19.8177	−	8.82343i	−0.885391	−	0.394202i
$502$	−2.62627	−	0.367449i	−0.117216	−	0.0164001i
$503$	20.7813	−	4.41720i	0.926592	−	0.196953i	0.280185	−	0.959946i	$-0.409604\pi$
$503$	20.7813	−	4.41720i	0.926592	−	0.196953i	0.646407	+	0.762993i	$0.276271\pi$
$504$	2.19237	−	1.59905i	0.0976559	−	0.0712272i
$505$	1.12279	−	1.94474i	0.0499637	−	0.0865397i
$506$	−28.6133	−	24.9617i	−1.27202	−	1.10968i
$507$	−17.1091	+	4.55002i	−0.759840	+	0.202073i
$508$	0.815677	+	22.5611i	0.0361898	+	1.00099i
$509$	0.449373	−	0.404618i	0.0199181	−	0.0179344i	−0.659111	−	0.752045i	$-0.729067\pi$
$509$	0.449373	−	0.404618i	0.0199181	−	0.0179344i	0.679030	+	0.734111i	$0.262401\pi$
$510$	3.60943	−	4.62573i	0.159828	−	0.204831i
$511$	−1.35981	+	3.05418i	−0.0601544	+	0.135109i
$512$	−21.5584	−	6.87287i	−0.952755	−	0.303741i
$513$	−7.58267	+	8.42141i	−0.334783	+	0.371814i
$514$	−6.50062	−	1.61654i	−0.286730	−	0.0713023i
$515$	9.15166	+	6.64907i	0.403271	+	0.292993i
$516$	15.6920	+	6.31753i	0.690804	+	0.278114i
$517$	−1.43252	+	2.79505i	−0.0630022	+	0.122926i
$518$	1.16278	−	0.785346i	0.0510895	−	0.0345061i
$519$	7.46327	+	5.42239i	0.327601	+	0.238016i
$520$	−5.48155	+	1.62914i	−0.240382	+	0.0714426i
$521$	−0.657985	−	2.02507i	−0.0288269	−	0.0887199i	0.935608	−	0.353041i	$-0.114852\pi$
$521$	−0.657985	−	2.02507i	−0.0288269	−	0.0887199i	−0.964435	+	0.264321i	$0.914852\pi$
$522$	−2.76890	−	1.00587i	−0.121191	−	0.0440255i
$523$	−2.15368	−	20.4909i	−0.0941740	−	0.896006i	−0.934987	−	0.354681i	$-0.884589\pi$
$523$	−2.15368	−	20.4909i	−0.0941740	−	0.896006i	0.840813	−	0.541325i	$-0.182077\pi$
$524$	−39.5893	−	2.71935i	−1.72946	−	0.118796i
$525$	1.65155	−	5.08296i	0.0720797	−	0.221839i
$526$	15.6927	−	25.1480i	0.684235	−	1.09651i
$527$	27.7995	−	16.0501i	1.21097	−	0.699152i
$528$	16.3733	−	7.63674i	0.712556	−	0.332346i
$529$	21.2684	+	36.8380i	0.924715	+	1.60165i
$530$	0.326099	−	9.50611i	0.0141648	−	0.412919i
$531$	0.0148815	+	0.0165276i	0.000645802	+	0.000717236i
$532$	−1.87692	+	2.79005i	−0.0813746	+	0.120964i
$533$	−24.4376	+	13.2389i	−1.05851	+	0.573441i
$534$	14.0536	−	2.48695i	0.608158	−	0.107621i
$535$	1.62307	−	7.63593i	0.0701713	−	0.330130i
$536$	−6.29760	+	8.70167i	−0.272015	+	0.375855i
$537$	−0.884408	+	8.41458i	−0.0381650	+	0.363116i
$538$	34.8507	+	16.9712i	1.50252	+	0.731682i
$539$	1.14284	−	20.8583i	0.0492256	−	0.898432i
$540$	−2.36449	+	5.87314i	−0.101752	+	0.252740i
$541$	12.6753	+	9.20915i	0.544954	+	0.395932i	0.825922	−	0.563785i	$-0.190655\pi$
$541$	12.6753	+	9.20915i	0.544954	+	0.395932i	−0.280967	+	0.959717i	$0.590655\pi$
$542$	−2.65450	+	10.6746i	−0.114021	+	0.458514i
$543$	−3.90121	+	18.3538i	−0.167417	+	0.787635i
$544$	17.1074	−	25.5319i	0.733472	−	1.09467i
$545$	−4.82148	−	6.63620i	−0.206529	−	0.284263i
$546$	−1.55610	+	5.60412i	−0.0665948	+	0.239834i
$547$	2.50988	−	7.72462i	0.107315	−	0.330281i	−0.882952	−	0.469463i	$-0.844447\pi$
$547$	2.50988	−	7.72462i	0.107315	−	0.330281i	0.990267	+	0.139182i	$0.0444474\pi$
$548$	−18.9625	+	35.7694i	−0.810036	+	1.52799i
$549$	12.1064	+	6.98961i	0.516687	+	0.298309i
$550$	−10.6886	+	19.2029i	−0.455763	+	0.818816i
$551$	3.65057			0.155520
$552$	−31.0055	+	3.31674i	−1.31968	+	0.141170i
$553$	−0.727835	−	3.42420i	−0.0309507	−	0.145612i
$554$	−9.02512	−	1.26273i	−0.383441	−	0.0536483i
$555$	−0.367929	+	0.826382i	−0.0156177	+	0.0350779i
$556$	−12.5001	+	12.1010i	−0.530123	+	0.513197i
$557$	−5.01778	−	1.06656i	−0.212610	−	0.0451917i	0.100375	−	0.994950i	$-0.467996\pi$
$557$	−5.01778	−	1.06656i	−0.212610	−	0.0451917i	−0.312985	+	0.949758i	$0.601329\pi$
$558$	−6.64429	+	6.88885i	−0.281275	+	0.291628i
$559$	21.4771	−	6.33992i	0.908383	−	0.268150i
$560$	−0.450004	+	1.82400i	−0.0190161	+	0.0770779i
$561$	3.78112	+	24.2458i	0.159639	+	1.02366i
$562$	−21.9406	+	14.8188i	−0.925510	+	0.625094i
$563$	−2.37841	+	22.6291i	−0.100238	+	0.953702i	0.822628	+	0.568581i	$0.192507\pi$
$563$	−2.37841	+	22.6291i	−0.100238	+	0.953702i	−0.922866	+	0.385122i	$0.874159\pi$
$564$	0.885135	+	2.42260i	0.0372709	+	0.102010i
$565$	−6.34979	−	5.71737i	−0.267137	−	0.240532i
$566$	−8.62615	−	10.2674i	−0.362584	−	0.431571i
$567$	2.09319	+	2.88103i	0.0879058	+	0.120992i
$568$	−23.9862	−	13.7894i	−1.00644	−	0.578592i
$569$	15.6164	−	14.0610i	0.654671	−	0.589469i	−0.273387	−	0.961904i	$-0.588144\pi$
$569$	15.6164	−	14.0610i	0.654671	−	0.589469i	0.928058	+	0.372435i	$0.121477\pi$
$570$	0.0743217	−	2.16655i	0.00311300	−	0.0907469i
$571$	18.4563			0.772371			0.386186	−	0.922421i	$-0.373792\pi$
$571$	18.4563			0.772371			0.386186	+	0.922421i	$0.373792\pi$
$572$	10.7160	−	21.3815i	0.448059	−	0.894004i
$573$	−12.2108			−0.510112
$574$	−0.313041	+	9.12545i	−0.0130661	+	0.380889i
$575$	28.1889	−	25.3814i	1.17556	−	1.05848i
$576$	−2.79943	+	8.72534i	−0.116643	+	0.363556i
$577$	−10.6171	−	14.6132i	−0.441996	−	0.608356i	0.528658	−	0.848835i	$-0.322695\pi$
$577$	−10.6171	−	14.6132i	−0.441996	−	0.608356i	−0.970654	+	0.240479i	$0.922695\pi$
$578$	11.3867	+	13.5532i	0.473624	+	0.563738i
$579$	−13.9008	−	12.5163i	−0.577696	−	0.520160i
$580$	1.91571	−	0.699934i	0.0795454	−	0.0290632i
$581$	−0.273971	+	2.60666i	−0.0113662	+	0.108142i
$582$	29.1937	−	19.7176i	1.21012	−	0.817319i
$583$	28.0623	+	28.1959i	1.16222	+	1.16776i
$584$	−2.36766	−	11.0386i	−0.0979745	−	0.456782i
$585$	0.655651	+	2.22108i	0.0271078	+	0.0918304i
$586$	−4.90436	+	5.08488i	−0.202597	+	0.210054i
$587$	−13.4459	−	2.85802i	−0.554973	−	0.117963i	−0.0781163	−	0.996944i	$-0.524891\pi$
$587$	−13.4459	−	2.85802i	−0.554973	−	0.117963i	−0.476857	+	0.878981i	$0.658224\pi$
$588$	−11.9319	−	12.3255i	−0.492064	−	0.508293i
$589$	4.82397	−	10.8348i	0.198768	−	0.446441i
$590$	−0.0152490	−	0.00213353i	−0.000627790	−	8.78359e-5i
$591$	5.09863	+	23.9872i	0.209729	+	0.986700i
$592$	−1.60962	+	4.45651i	−0.0661548	+	0.183161i
$593$	−7.14772			−0.293522			−0.146761	−	0.989172i	$-0.546885\pi$
$593$	−7.14772			−0.293522			−0.146761	+	0.989172i	$0.546885\pi$
$594$	−11.1483	−	24.0178i	−0.457419	−	0.985464i
$595$	−2.20984	−	1.27585i	−0.0905946	−	0.0523048i
$596$	−7.10228	−	3.76513i	−0.290921	−	0.154226i
$597$	−0.865000	+	2.66219i	−0.0354021	+	0.108956i
$598$	−29.4516	+	28.9234i	−1.20436	+	1.18277i
$599$	−1.83713	−	2.52860i	−0.0750632	−	0.103316i	0.769834	−	0.638244i	$-0.220339\pi$
$599$	−1.83713	−	2.52860i	−0.0750632	−	0.103316i	−0.844898	+	0.534928i	$0.820339\pi$
$600$	5.60883	+	17.1543i	0.228980	+	0.700322i
$601$	8.33604	−	39.2180i	0.340034	−	1.59973i	−0.392997	−	0.919540i	$-0.628562\pi$
$601$	8.33604	−	39.2180i	0.340034	−	1.59973i	0.733031	−	0.680195i	$-0.238105\pi$
$602$	1.77537	−	7.13935i	0.0723587	−	0.290978i
$603$	3.51920	+	2.55685i	0.143313	+	0.104123i
$604$	15.6106	+	6.28474i	0.635187	+	0.255722i
$605$	1.87819	+	5.87532i	0.0763592	+	0.238866i
$606$	6.93410	+	3.37670i	0.281679	+	0.137169i
$607$	−0.915307	+	8.70856i	−0.0371512	+	0.353470i	0.960117	+	0.279600i	$0.0902017\pi$
$607$	−0.915307	+	8.70856i	−0.0371512	+	0.353470i	−0.997268	+	0.0738702i	$0.976465\pi$
$608$	−0.431234	−	11.3470i	−0.0174889	−	0.460182i
$609$	0.431289	−	2.02906i	0.0174767	−	0.0822215i
$610$	−9.53020	+	1.68648i	−0.385866	+	0.0682837i
$611$	2.90956	+	1.78673i	0.117708	+	0.0722834i
$612$	−10.3269	−	6.94706i	−0.417438	−	0.280818i
$613$	13.7543	+	15.2757i	0.555530	+	0.616978i	0.953856	−	0.300266i	$-0.0970754\pi$
$613$	13.7543	+	15.2757i	0.555530	+	0.616978i	−0.398326	+	0.917244i	$0.630409\pi$
$614$	1.30273	−	37.9758i	0.0525738	−	1.53258i
$615$	−2.94325	−	5.09786i	−0.118683	−	0.205565i
$616$	−4.27586	−	6.59187i	−0.172279	−	0.265594i
$617$	33.2490	−	19.1963i	1.33855	−	0.772814i	0.351961	−	0.936015i	$-0.385515\pi$
$617$	33.2490	−	19.1963i	1.33855	−	0.772814i	0.986593	+	0.163201i	$0.0521818\pi$
$618$	−20.5681	+	32.9609i	−0.827368	+	1.32588i
$619$	−7.49375	+	23.0634i	−0.301199	+	0.926997i	0.679869	+	0.733334i	$0.262037\pi$
$619$	−7.49375	+	23.0634i	−0.301199	+	0.926997i	−0.981068	+	0.193663i	$0.937963\pi$
$620$	0.454083	−	6.61069i	0.0182364	−	0.265492i
$621$	4.77715	+	45.4515i	0.191700	+	1.82391i
$622$	12.2228	+	4.44021i	0.490089	+	0.178036i
$623$	−1.91803	−	5.90309i	−0.0768443	−	0.236502i
$624$	−6.90634	−	18.3862i	−0.276475	−	0.736038i
$625$	−16.4896	−	11.9804i	−0.659585	−	0.479217i
$626$	22.9695	−	15.5137i	0.918048	−	0.620054i
$627$	6.39571	+	6.42618i	0.255420	+	0.256637i
$628$	−0.334934	+	0.831938i	−0.0133653	+	0.0331980i
$629$	−5.20660	−	3.78282i	−0.207601	−	0.150831i
$630$	0.738326	+	0.183602i	0.0294156	+	0.00731490i
$631$	−22.3533	+	24.8258i	−0.889870	+	0.988301i	−0.999984	−	0.00561825i	$-0.998212\pi$
$631$	−22.3533	+	24.8258i	−0.889870	+	0.988301i	0.110114	+	0.993919i	$0.464878\pi$
$632$	8.79968	+	7.89388i	0.350032	+	0.314002i
$633$	−4.16862	+	9.36288i	−0.165688	+	0.372141i
$634$	−10.2735	+	13.1662i	−0.408012	+	0.522896i
$635$	−4.70387	+	4.23539i	−0.186668	+	0.168076i
$636$	32.6470	−	1.18032i	1.29454	−	0.0468029i
$637$	−22.5123	−	2.98526i	−0.891971	−	0.118281i
$638$	−3.34678	+	7.84608i	−0.132500	+	0.310629i
$639$	−5.60225	+	9.70338i	−0.221621	+	0.383860i
$640$	−2.40189	−	5.87188i	−0.0949431	−	0.232106i
$641$	28.5825	−	6.07539i	1.12894	−	0.239964i	0.394671	−	0.918822i	$-0.370858\pi$
$641$	28.5825	−	6.07539i	1.12894	−	0.239964i	0.734269	+	0.678859i	$0.237525\pi$
$642$	26.5532	+	3.71513i	1.04797	+	0.146625i
$643$	44.2185	+	19.6874i	1.74381	+	0.776394i	0.993304	+	0.115529i	$0.0368563\pi$
$643$	44.2185	+	19.6874i	1.74381	+	0.776394i	0.750505	+	0.660865i	$0.229810\pi$
$644$	3.29697	+	13.1544i	0.129919	+	0.518355i
$645$	1.46561	+	4.51068i	0.0577083	+	0.177608i
$646$	14.9672	+	3.72196i	0.588877	+	0.146438i
$647$	12.2405	+	27.4927i	0.481225	+	1.08085i	0.977163	+	0.212490i	$0.0681575\pi$
$647$	12.2405	+	27.4927i	0.481225	+	1.08085i	−0.495939	+	0.868358i	$0.665176\pi$
$648$	−11.4439	−	3.69499i	−0.449560	−	0.145153i
$649$	0.0501418	−	0.0404072i	0.00196824	−	0.00158612i
$650$	19.9188	+	13.1931i	0.781279	+	0.517478i
$651$	−5.45228	−	3.96131i	−0.213692	−	0.155256i
$652$	5.48787	−	31.3490i	0.214922	−	1.22772i
$653$	−2.98278	−	0.634010i	−0.116725	−	0.0248107i	0.149179	−	0.988810i	$-0.452337\pi$
$653$	−2.98278	−	0.634010i	−0.116725	−	0.0248107i	−0.265904	+	0.964000i	$0.585670\pi$
$654$	21.5705	−	18.1224i	0.843473	−	0.708644i
$655$	−6.53967	−	9.00108i	−0.255526	−	0.351701i
$656$	−17.3050	−	25.5199i	−0.675646	−	0.996383i
$657$	−4.47208	+	0.950570i	−0.174473	+	0.0370853i
$658$	0.990088	−	0.527221i	0.0385976	−	0.0205532i
$659$	3.22623	+	5.58800i	0.125676	+	0.217677i	0.921997	−	0.387197i	$-0.126557\pi$
$659$	3.22623	+	5.58800i	0.125676	+	0.217677i	−0.796321	+	0.604874i	$0.793223\pi$
$660$	4.58838	+	2.14599i	0.178602	+	0.0835326i
$661$	30.9679	+	17.8793i	1.20451	+	0.695426i	0.961555	−	0.274611i	$-0.0885492\pi$
$661$	30.9679	+	17.8793i	1.20451	+	0.695426i	0.242957	+	0.970037i	$0.421883\pi$
$662$	6.27686	+	11.7875i	0.243957	+	0.458136i
$663$	26.5962	−	2.06810i	1.03291	−	0.0803183i
$664$	−4.43960	−	7.65691i	−0.172290	−	0.297146i
$665$	−0.937625	+	0.0985483i	−0.0363595	+	0.00382154i
$666$	1.80355	+	0.655179i	0.0698860	+	0.0253877i
$667$	9.85133	−	10.9410i	0.381445	−	0.423637i
$668$	−10.9333	−	29.9242i	−0.423022	−	1.15780i
$669$	−36.1675	−	3.80136i	−1.39832	−	0.146969i
$670$	−3.00416	+	0.211930i	−0.116061	+	0.00818758i
$671$	22.1261	−	33.8946i	0.854169	−	1.30849i
$672$	−6.35783	−	1.10088i	−0.245259	−	0.0424674i
$673$	4.74106	+	10.6486i	0.182755	+	0.410473i	0.981570	−	0.191103i	$-0.0612063\pi$
$673$	4.74106	+	10.6486i	0.182755	+	0.410473i	−0.798816	+	0.601576i	$0.794540\pi$
$674$	6.90284	−	1.98396i	0.265887	−	0.0764192i
$675$	25.1570	−	8.17401i	0.968294	−	0.314618i
$676$	−22.2777	−	13.4053i	−0.856836	−	0.515588i
$677$	−1.27242	−	1.75133i	−0.0489030	−	0.0673092i	0.783865	−	0.620931i	$-0.213245\pi$
$677$	−1.27242	−	1.75133i	−0.0489030	−	0.0673092i	−0.832768	+	0.553622i	$0.813245\pi$
$678$	18.0532	−	23.1364i	0.693329	−	0.888548i
$679$	−10.2517	−	11.3857i	−0.393425	−	0.436942i
$680$	8.56795	−	0.916536i	0.328566	−	0.0351476i
$681$	11.6592			0.446780
$682$	18.8645	+	20.3012i	0.722358	+	0.777373i
$683$	−13.2275	−	22.9108i	−0.506138	−	0.876656i	−0.999975	−	0.00710192i	$-0.997739\pi$
$683$	−13.2275	−	22.9108i	−0.506138	−	0.876656i	0.493837	−	0.869555i	$-0.335594\pi$
$684$	−4.59552	+	0.166147i	−0.175714	+	0.00635277i
$685$	−11.1029	+	2.35998i	−0.424218	+	0.0901704i
$686$	−9.69042	+	12.4189i	−0.369982	+	0.474157i
$687$	−0.341954	−	3.25348i	−0.0130464	−	0.124128i
$688$	9.36311	+	23.0111i	0.356965	+	0.877292i
$689$	32.9109	−	28.0553i	1.25381	−	1.06882i
$690$	−6.29274	−	6.06934i	−0.239560	−	0.231056i
$691$	−44.9464	+	20.0114i	−1.70984	+	0.761270i	−0.711562	+	0.702623i	$0.752012\pi$
$691$	−44.9464	+	20.0114i	−1.70984	+	0.761270i	−0.998279	+	0.0586469i	$0.981321\pi$
$692$	1.90206	+	13.4140i	0.0723055	+	0.509922i
$693$	−2.67271	+	1.72666i	−0.101528	+	0.0655904i
$694$	−4.40544	−	2.14532i	−0.167228	−	0.0814352i
$695$	−4.85120	−	0.509881i	−0.184016	−	0.0193409i
$696$	2.86101	+	6.39410i	0.108446	+	0.242368i
$697$	39.8299	−	12.9415i	1.50867	−	0.490195i
$698$	1.15907	+	1.37960i	0.0438714	+	0.0522185i
$699$	−3.02934	−	28.8222i	−0.114580	−	1.09016i
$700$	7.05046	−	3.44950i	0.266482	−	0.130379i
$701$	−36.1739	−	11.7536i	−1.36627	−	0.443927i	−0.468137	−	0.883656i	$-0.655075\pi$
$701$	−36.1739	−	11.7536i	−1.36627	−	0.443927i	−0.898131	+	0.439729i	$0.855075\pi$
$702$	−26.9661	+	10.0723i	−1.01777	+	0.380156i
$703$	−2.37783			−0.0896817
$704$	24.7832	+	9.47589i	0.934052	+	0.357136i
$705$	−0.361575	+	0.626266i	−0.0136177	+	0.0235865i
$706$	18.0636	+	11.2719i	0.679834	+	0.424225i
$707$	1.03651	−	3.19004i	0.0389819	−	0.119974i
$708$	0.00362398	−	0.0527591i	0.000136197	−	0.00198281i
$709$	8.90557	−	20.0022i	0.334456	−	0.751199i	−0.665533	−	0.746369i	$-0.731796\pi$
$709$	8.90557	−	20.0022i	0.334456	−	0.751199i	0.999988	−	0.00483080i	$-0.00153770\pi$
$710$	−1.35173	−	7.63855i	−0.0507297	−	0.286670i
$711$	3.20336	−	3.55769i	0.120135	−	0.133424i
$712$	16.9797	+	12.2886i	0.636342	+	0.460536i
$713$	−19.4548	−	43.6963i	−0.728589	−	1.63644i
$714$	3.83701	−	7.87934i	0.143596	−	0.294877i
$715$	6.52544	−	1.54377i	0.244038	−	0.0577339i
$716$	−9.78228	+	7.66218i	−0.365581	+	0.286349i
$717$	20.0632	−	8.93273i	0.749275	−	0.333599i
$718$	−31.0504	+	8.92427i	−1.15879	+	0.333051i
$719$	−23.0892	−	20.7896i	−0.861083	−	0.775322i	0.114853	−	0.993383i	$-0.463360\pi$
$719$	−23.0892	−	20.7896i	−0.861083	−	0.775322i	−0.975935	+	0.218060i	$0.930027\pi$
$720$	−2.37973	+	0.968299i	−0.0886873	+	0.0360864i
$721$	15.4359	+	6.87251i	0.574863	+	0.255946i
$722$	−19.6251	+	7.94312i	−0.730371	+	0.295612i
$723$	28.8167	+	9.36310i	1.07170	+	0.348217i
$724$	−23.3515	+	14.6317i	−0.867851	+	0.543781i
$725$	−7.37961	−	4.26062i	−0.274072	−	0.158235i
$726$	−19.6751	+	7.85475i	−0.730211	+	0.291517i
$727$			8.43605i			0.312876i	0.987688	+	0.156438i	$0.0500011\pi$
$727$			8.43605i			0.312876i	−0.987688	+	0.156438i	$0.949999\pi$
$728$	−7.50287	+	4.08258i	−0.278075	+	0.151310i
$729$	−8.63208	+	26.5668i	−0.319707	+	0.983956i
$730$	1.94724	−	2.49552i	0.0720706	−	0.0923633i
$731$	−33.5580	+	3.52709i	−1.24119	+	0.130454i
$732$	−8.08131	−	32.2431i	−0.298694	−	1.19174i
$733$	2.81930	+	8.67692i	0.104133	+	0.320489i	0.989526	−	0.144354i	$-0.0461105\pi$
$733$	2.81930	+	8.67692i	0.104133	+	0.320489i	−0.885393	+	0.464844i	$0.846111\pi$
$734$	−8.40582	+	33.8026i	−0.310265	+	1.24768i
$735$	0.502757	−	4.78341i	0.0185445	−	0.176439i
$736$	−35.1715	−	29.3283i	−1.29644	−	1.08105i
$737$	7.94982	−	9.76965i	0.292835	−	0.359870i
$738$	−10.3477	+	6.98890i	−0.380905	+	0.257265i
$739$	16.3220	+	36.6599i	0.600416	+	1.34856i	0.916580	+	0.399852i	$0.130938\pi$
$739$	16.3220	+	36.6599i	0.600416	+	1.34856i	−0.316164	+	0.948705i	$0.602395\pi$
$740$	−1.24781	+	0.455908i	−0.0458705	+	0.0167595i
$741$	7.50078	−	6.39413i	0.275548	−	0.234894i
$742$	−2.47572	−	13.9901i	−0.0908867	−	0.513594i
$743$	−27.0640	+	2.84455i	−0.992883	+	0.104356i	−0.587016	−	0.809576i	$-0.699697\pi$
$743$	−27.0640	+	2.84455i	−0.992883	+	0.104356i	−0.405868	+	0.913932i	$0.633031\pi$
$744$	22.7582	−	0.0420479i	0.834355	−	0.00154155i
$745$	−0.468592	−	2.20455i	−0.0171679	−	0.0807686i
$746$	−24.2859	+	12.9322i	−0.889171	+	0.473483i
$747$	−3.10414	+	1.79217i	−0.113574	+	0.0655722i
$748$	−21.7212	+	28.7565i	−0.794205	+	1.05144i
$749$		−	11.6605i		−	0.426065i
$750$	−5.53746	+	8.87394i	−0.202199	+	0.324031i
$751$	−15.6979	+	14.1344i	−0.572823	+	0.515772i	−0.903850	−	0.427849i	$-0.859271\pi$
$751$	−15.6979	+	14.1344i	−0.572823	+	0.515772i	0.331027	+	0.943621i	$0.392605\pi$
$752$	−1.65212	+	3.40863i	−0.0602465	+	0.124300i
$753$	2.06592	−	1.50098i	0.0752864	−	0.0546988i
$754$	8.22401	+	4.28451i	0.299501	+	0.156033i
$755$	1.45800	+	4.48727i	0.0530621	+	0.163308i
$756$	−1.63070	+	9.31523i	−0.0593079	+	0.338792i
$757$	28.6623	−	12.7613i	1.04175	−	0.463817i	0.186730	−	0.982411i	$-0.440211\pi$
$757$	28.6623	−	12.7613i	1.04175	−	0.463817i	0.855021	+	0.518594i	$0.173544\pi$
$758$	−1.23868	−	17.5586i	−0.0449909	−	0.637756i
$759$	36.5190	−	1.82688i	1.32555	−	0.0663116i
$760$	2.36201	−	2.13468i	0.0856792	−	0.0774330i
$761$	1.50143	−	14.2851i	0.0544267	−	0.517836i	−0.933013	−	0.359842i	$-0.882831\pi$
$761$	1.50143	−	14.2851i	0.0544267	−	0.517836i	0.987440	−	0.157994i	$-0.0505027\pi$
$762$	−15.6475	−	15.0920i	−0.566848	−	0.546724i
$763$	−9.10531	−	8.19845i	−0.329634	−	0.296804i
$764$	−12.4731	−	12.8845i	−0.451262	−	0.466145i
$765$	−0.364758	−	3.47045i	−0.0131879	−	0.125474i
$766$	−4.60541	+	32.9163i	−0.166400	+	1.18931i
$767$	−0.0395981	−	0.0577315i	−0.00142981	−	0.00208456i
$768$	19.5367	−	9.64814i	0.704971	−	0.348147i
$769$	−20.0193	+	34.6745i	−0.721916	+	1.25039i	0.238315	+	0.971188i	$0.423405\pi$
$769$	−20.0193	+	34.6745i	−0.721916	+	1.25039i	−0.960231	+	0.279207i	$0.909929\pi$
$770$	0.647789	−	2.10556i	0.0233447	−	0.0758791i
$771$	5.58627	−	3.22523i	0.201184	−	0.116154i
$772$	−0.992538	−	27.4530i	−0.0357222	−	0.988056i
$773$	−1.30590	−	6.14376i	−0.0469698	−	0.220976i	0.948403	−	0.317069i	$-0.102699\pi$
$773$	−1.30590	−	6.14376i	−0.0469698	−	0.220976i	−0.995372	+	0.0960932i	$0.969365\pi$
$774$	9.32581	−	3.77456i	0.335209	−	0.135674i
$775$	−22.3970	+	16.2724i	−0.804526	+	0.584522i
$776$	50.6265	+	10.6633i	1.81738	+	0.382789i
$777$	−0.280924	+	1.32164i	−0.0100781	+	0.0474137i
$778$	11.8201	+	41.1259i	0.423771	+	1.47444i
$779$	9.09508	−	12.5183i	0.325865	−	0.448515i
$780$	2.71021	−	4.79358i	0.0970412	−	0.171638i
$781$	27.1669	+	17.7343i	0.972108	+	0.634583i
$782$	51.5451	−	34.8138i	1.84325	−	1.24494i
$783$	9.37912	−	4.17585i	0.335183	−	0.149233i
$784$	0.817223	−	25.1806i	0.0291865	−	0.899306i
$785$	−0.239141	+	0.0777015i	−0.00853530	+	0.00277329i
$786$	29.2574	−	24.5806i	1.04358	−	0.876761i
$787$	−1.08642	+	2.44014i	−0.0387267	+	0.0869815i	−0.931873	−	0.362785i	$-0.881826\pi$
$787$	−1.08642	+	2.44014i	−0.0387267	+	0.0869815i	0.893146	+	0.449766i	$0.148493\pi$
$788$	−20.1025	+	29.8825i	−0.716122	+	1.06452i
$789$	5.93475	+	27.9208i	0.211283	+	0.994007i
$790$	−0.113632	+	3.31249i	−0.00404285	+	0.117853i
$791$	−11.0529	−	6.38139i	−0.392995	−	0.226896i
$792$	3.85599	−	10.0294i	0.137017	−	0.356378i
$793$	−34.8852	−	26.8203i	−1.23881	−	0.952417i
$794$	29.6185	−	15.7719i	1.05112	−	0.559722i
$795$	6.12881	+	6.80673i	0.217366	+	0.241410i
$796$	−3.69267	+	1.80667i	−0.130883	+	0.0640357i
$797$	−19.4011	−	8.63794i	−0.687223	−	0.305971i	0.0332572	−	0.999447i	$-0.489412\pi$
$797$	−19.4011	−	8.63794i	−0.687223	−	0.305971i	−0.720480	+	0.693475i	$0.756079\pi$
$798$	−0.564246	−	3.18851i	−0.0199741	−	0.112872i
$799$	−3.82338	−	3.44259i	−0.135262	−	0.121790i
$800$	−12.3715	+	23.4412i	−0.437398	+	0.828772i
$801$	4.98922	−	6.86707i	0.176285	−	0.242636i
$802$	26.7339	−	1.88596i	0.944007	−	0.0665956i
$803$	2.03986	+	13.0802i	0.0719851	+	0.461592i
$804$	−1.45216	−	10.2411i	−0.0512137	−	0.361176i
$805$	−2.23489	+	3.07606i	−0.0787695	+	0.108417i
$806$	23.5838	−	18.7470i	0.830703	−	0.660336i
$807$	−35.5004	+	11.5348i	−1.24967	+	0.406044i
$808$	3.52007	+	10.7660i	0.123836	+	0.378745i
$809$	−12.7058	+	1.33543i	−0.446713	+	0.0469514i	−0.325215	−	0.945640i	$-0.605437\pi$
$809$	−12.7058	+	1.33543i	−0.446713	+	0.0469514i	−0.121498	+	0.992592i	$0.538770\pi$
$810$	−1.26498	−	3.12539i	−0.0444468	−	0.109815i
$811$	14.0431	+	4.56287i	0.493119	+	0.160224i	0.545011	−	0.838429i	$-0.316525\pi$
$811$	14.0431	+	4.56287i	0.493119	+	0.160224i	−0.0518925	+	0.998653i	$0.516525\pi$
$812$	2.58157	−	1.61757i	0.0905953	−	0.0567655i
$813$	−5.29613	−	9.17316i	−0.185743	−	0.321717i
$814$	2.17995	−	5.11062i	0.0764073	−	0.179127i
$815$	7.72763	−	4.46155i	0.270687	−	0.156281i
$816$	5.21089	+	29.1326i	0.182418	+	1.01984i
$817$	−9.26488	+	8.34213i	−0.324137	+	0.291854i
$818$	−4.81732	+	34.4309i	−0.168434	+	1.20385i
$819$	1.64770	+	3.04149i	0.0575755	+	0.106278i
$820$	2.37265	−	8.31304i	0.0828565	−	0.290304i
$821$	4.10134	+	0.871767i	0.143138	+	0.0304249i	0.278923	−	0.960313i	$-0.410022\pi$
$821$	4.10134	+	0.871767i	0.143138	+	0.0304249i	−0.135785	+	0.990738i	$0.543356\pi$
$822$	−10.7688	−	37.4683i	−0.375607	−	1.30686i
$823$	18.5186	+	1.94638i	0.645517	+	0.0678466i	0.421629	−	0.906768i	$-0.361458\pi$
$823$	18.5186	+	1.94638i	0.645517	+	0.0678466i	0.223888	+	0.974615i	$0.428125\pi$
$824$	−55.7896	+	11.9662i	−1.94352	+	0.416863i
$825$	−5.42884	−	20.4550i	−0.189008	−	0.712151i
$826$	−0.0229420	+	0.00161846i	−0.000798255	+	5.63135e-5i
$827$	−24.4557	+	33.6604i	−0.850407	+	1.17049i	0.133365	+	0.991067i	$0.457422\pi$
$827$	−24.4557	+	33.6604i	−0.850407	+	1.17049i	−0.983773	+	0.179418i	$0.942578\pi$
$828$	−11.9034	+	14.2214i	−0.413671	+	0.494229i
$829$	−39.0417	−	8.29857i	−1.35597	−	0.288221i	−0.528123	−	0.849168i	$-0.677104\pi$
$829$	−39.0417	−	8.29857i	−1.35597	−	0.288221i	−0.827852	+	0.560947i	$0.810437\pi$
$830$	0.847307	−	2.33243i	0.0294105	−	0.0809597i
$831$	7.09949	−	5.15808i	0.246279	−	0.178932i
$832$	12.3460	−	26.0687i	0.428020	−	0.903769i
$833$	32.5444	+	10.5743i	1.12760	+	0.366378i
$834$	0.574375	−	16.7436i	0.0198890	−	0.579783i
$835$	4.46622	−	7.73571i	0.154560	−	0.267705i
$836$	−0.247615	+	13.3129i	−0.00856393	+	0.460435i
$837$		−	33.3551i		−	1.15292i
$838$	−2.23342	−	1.39368i	−0.0771521	−	0.0481439i
$839$	54.9452	−	11.6790i	1.89692	−	0.403202i	0.897623	−	0.440763i	$-0.145292\pi$
$839$	54.9452	−	11.6790i	1.89692	−	0.403202i	0.999294	+	0.0375608i	$0.0119588\pi$
$840$	−0.907441	−	1.56505i	−0.0313097	−	0.0539993i
$841$	23.4714	+	10.4501i	0.809358	+	0.360350i
$842$	−22.5384	−	8.18760i	−0.776726	−	0.282163i
$843$	5.30080	−	24.9383i	0.182569	−	0.858921i
$844$	−14.1377	+	5.16542i	−0.486639	+	0.177801i
$845$	−1.12687	−	7.20210i	−0.0387655	−	0.247760i
$846$	1.37915	+	0.671607i	0.0474163	+	0.0230903i
$847$	4.56873	+	8.00084i	0.156983	+	0.274912i
$848$	34.5940	+	33.2427i	1.18796	+	1.14156i
$849$	12.8426	+	1.34981i	0.440756	+	0.0463253i
$850$	−25.9122	−	24.9923i	−0.888781	−	0.857229i
$851$	−6.41675	+	7.12652i	−0.219963	+	0.244294i
$852$	25.8432	−	6.47726i	0.885374	−	0.221907i
$853$	2.23271	−	1.62216i	0.0764467	−	0.0555418i	−0.548906	−	0.835884i	$-0.684955\pi$
$853$	2.23271	−	1.62216i	0.0764467	−	0.0555418i	0.625352	+	0.780343i	$0.284955\pi$
$854$	−13.4003	+	5.42368i	−0.458549	+	0.185595i
$855$	−0.862713	−	0.958140i	−0.0295042	−	0.0327677i
$856$	23.2036	+	31.8133i	0.793083	+	1.08736i
$857$			7.19831i			0.245889i	0.992414	+	0.122945i	$0.0392338\pi$
$857$			7.19831i			0.245889i	−0.992414	+	0.122945i	$0.960766\pi$
$858$	6.86617	+	21.9832i	0.234407	+	0.750496i
$859$			28.4529i			0.970801i	0.874292	+	0.485401i	$0.161326\pi$
$859$			28.4529i			0.970801i	−0.874292	+	0.485401i	$0.838674\pi$
$860$	−3.26246	+	6.15407i	−0.111249	+	0.209852i
$861$	−5.88339	−	6.53416i	−0.200505	−	0.222684i
$862$	13.6315	+	33.6795i	0.464292	+	1.14713i
$863$	−32.0274	+	23.2693i	−1.09023	+	0.792096i	−0.979438	−	0.201748i	$-0.935338\pi$
$863$	−32.0274	+	23.2693i	−1.09023	+	0.792096i	−0.110789	+	0.993844i	$0.535338\pi$
$864$	−14.0877	−	28.6597i	−0.479273	−	0.975023i
$865$	−2.54172	+	2.82287i	−0.0864212	+	0.0959805i
$866$	−0.351315	+	0.364246i	−0.0119382	+	0.0123776i
$867$	−16.9525	−	1.78178i	−0.575736	−	0.0605123i
$868$	−1.38955	−	9.79954i	−0.0471643	−	0.332618i
$869$	−9.77855	−	9.82512i	−0.331714	−	0.333294i
$870$	−0.859881	+	1.76578i	−0.0291527	+	0.0598654i
$871$	−9.92351	−	9.43474i	−0.336245	−	0.319684i
$872$	41.1564	+	4.24884i	1.39373	+	0.143884i
$873$	4.35618	−	20.4942i	0.147434	−	0.693624i
$874$	7.84683	−	21.6004i	0.265423	−	0.730643i
$875$	4.15575	+	1.85026i	0.140490	+	0.0625502i
$876$	9.02036	+	6.06816i	0.304770	+	0.205024i
$877$	16.7314	−	3.55636i	0.564978	−	0.120090i	0.0834367	−	0.996513i	$-0.473410\pi$
$877$	16.7314	−	3.55636i	0.564978	−	0.120090i	0.481542	+	0.876423i	$0.340077\pi$
$878$	−10.1704	+	16.2984i	−0.343234	+	0.550043i
$879$		−	6.80291i		−	0.229457i
$880$	2.42257	+	7.03365i	0.0816648	+	0.237104i
$881$	−15.5930	+	27.0078i	−0.525340	+	0.909916i	0.474224	+	0.880404i	$0.342729\pi$
$881$	−15.5930	+	27.0078i	−0.525340	+	0.909916i	−0.999564	+	0.0295121i	$0.990605\pi$
$882$	−10.1967	−	0.349791i	−0.343342	−	0.0117781i
$883$	−49.7033	−	16.1496i	−1.67265	−	0.543476i	−0.689185	−	0.724585i	$-0.742031\pi$
$883$	−49.7033	−	16.1496i	−1.67265	−	0.543476i	−0.983463	+	0.181109i	$0.942031\pi$
$884$	29.3499	+	25.9512i	0.987144	+	0.872832i
$885$	0.0119954	−	0.00871517i	0.000403221	−	0.000292957i
$886$	12.9468	+	4.70323i	0.434957	+	0.158008i
$887$	41.3330	+	8.78561i	1.38783	+	0.294992i	0.840448	−	0.541893i	$-0.182292\pi$
$887$	41.3330	+	8.78561i	1.38783	+	0.294992i	0.547380	+	0.836885i	$0.315625\pi$
$888$	−1.86354	−	4.16486i	−0.0625364	−	0.139763i
$889$	−5.55726	+	7.64891i	−0.186384	+	0.256536i
$890$	0.413543	+	5.86206i	0.0138620	+	0.196497i
$891$	13.1527	+	5.08473i	0.440631	+	0.170345i
$892$	−32.9335	−	42.0461i	−1.10270	−	1.40781i
$893$	−1.89049	−	0.198698i	−0.0632627	−	0.00664918i
$894$	7.43961	−	2.13823i	0.248818	−	0.0715132i
$895$	−3.40775	−	0.724340i	−0.113909	−	0.0242120i
$896$	−5.33282	−	7.83317i	−0.178157	−	0.261688i
$897$	1.07776	−	39.7353i	0.0359853	−	1.32672i
$898$	7.69407	+	1.07650i	0.256755	+	0.0359233i
$899$	−7.98520	+	7.18990i	−0.266321	+	0.239797i
$900$	9.48372	+	5.02761i	0.316124	+	0.167587i
$901$	−56.4341	+	32.5823i	−1.88009	+	1.08547i
$902$	18.5671	+	31.0244i	0.618216	+	1.03300i
$903$	3.54213	+	6.13516i	0.117875	+	0.204165i
$904$	42.8541	−	4.58421i	1.42531	−	0.152469i
$905$	−7.34806	−	2.38753i	−0.244258	−	0.0793642i
$906$	−15.0211	+	6.07970i	−0.499044	+	0.201984i
$907$	1.74751	−	0.183671i	0.0580252	−	0.00609869i	−0.0754714	−	0.997148i	$-0.524046\pi$
$907$	1.74751	−	0.183671i	0.0580252	−	0.00609869i	0.133497	+	0.991049i	$0.457379\pi$
$908$	11.9097	+	12.3025i	0.395237	+	0.408272i
$909$	4.36252	−	1.41747i	0.144696	−	0.0470144i
$910$	−2.22794	−	0.878437i	−0.0738556	−	0.0291199i
$911$	−2.29890	+	3.16417i	−0.0761661	+	0.104834i	−0.845400	−	0.534133i	$-0.820638\pi$
$911$	−2.29890	+	3.16417i	−0.0761661	+	0.104834i	0.769234	+	0.638967i	$0.220638\pi$
$912$	7.88436	+	7.57639i	0.261077	+	0.250879i
$913$	4.68980	+	9.25857i	0.155210	+	0.306414i
$914$	0.798582	+	11.3201i	0.0264147	+	0.374434i
$915$	5.47801	−	7.53984i	0.181098	−	0.249259i
$916$	3.08369	−	3.68420i	0.101888	−	0.121730i
$917$	−12.3501	−	11.1201i	−0.407836	−	0.367217i
$918$	42.7116	−	7.55833i	1.40969	−	0.249462i
$919$	−48.7984	−	21.7264i	−1.60971	−	0.716689i	−0.612439	−	0.790518i	$-0.709811\pi$
$919$	−48.7984	−	21.7264i	−1.60971	−	0.716689i	−0.997271	+	0.0738289i	$0.976478\pi$
$920$	−0.0237226	−	12.8397i	−0.000782110	−	0.423312i
$921$	24.4839	+	27.1921i	0.806771	+	0.896010i
$922$	2.41118	+	4.52805i	0.0794081	+	0.149123i
$923$	21.4967	−	27.9608i	0.707574	−	0.920342i
$924$	7.37028	+	1.71045i	0.242464	+	0.0562696i
$925$	4.80677	+	2.77519i	0.158046	+	0.0912477i
$926$	0.0331237	+	0.00113628i	0.00108851	+	3.73405e-5i
$927$	4.80421	+	22.6020i	0.157791	+	0.742348i
$928$	−3.82443	+	9.55036i	−0.125543	+	0.313506i
$929$	−4.21979	+	9.47779i	−0.138447	+	0.310956i	−0.969441	−	0.245325i	$-0.921105\pi$
$929$	−4.21979	+	9.47779i	−0.138447	+	0.310956i	0.830994	+	0.556281i	$0.187772\pi$
$930$	4.10451	+	4.88546i	0.134592	+	0.160200i
$931$	12.0243	−	3.90694i	0.394081	−	0.128045i
$932$	27.3181	−	32.6380i	0.894834	−	1.06909i
$933$	−11.4400	+	5.09340i	−0.374527	+	0.166750i
$934$	−19.3105	−	28.5911i	−0.631860	−	0.935528i
$935$	−10.0915	+	0.504834i	−0.330028	+	0.0165098i
$936$	−10.5478	−	5.01925i	−0.344765	−	0.164059i
$937$	−2.89738	+	3.98790i	−0.0946532	+	0.130279i	−0.853717	−	0.520737i	$-0.825657\pi$
$937$	−2.89738	+	3.98790i	−0.0946532	+	0.130279i	0.759064	+	0.651016i	$0.225657\pi$
$938$	−4.32339	+	1.24260i	−0.141164	+	0.0405722i
$939$	−5.54938	+	26.1078i	−0.181097	+	0.851995i
$940$	−1.03017	+	0.258197i	−0.0336003	+	0.00842146i
$941$	1.15668	−	0.840379i	0.0377068	−	0.0273956i	−0.568772	−	0.822495i	$-0.692581\pi$
$941$	1.15668	−	0.840379i	0.0377068	−	0.0273956i	0.606479	+	0.795099i	$0.292581\pi$
$942$	−0.324006	−	0.800524i	−0.0105567	−	0.0260825i
$943$	−12.9745	−	61.0401i	−0.422507	−	1.98774i
$944$	0.0593720	−	0.0500688i	0.00193239	−	0.00162960i
$945$	−2.29624	+	1.32573i	−0.0746965	+	0.0431261i
$946$	−9.43568	−	27.5607i	−0.306780	−	0.896075i
$947$	23.5408	−	40.7739i	0.764974	−	1.32497i	−0.175286	−	0.984518i	$-0.556085\pi$
$947$	23.5408	−	40.7739i	0.764974	−	1.32497i	0.940260	−	0.340457i	$-0.110582\pi$
$948$	−11.3762	+	0.411294i	−0.369480	+	0.0133582i
$949$	14.3483	−	1.11571i	0.465765	−	0.0362175i
$950$	−13.1731	−	1.84308i	−0.427391	−	0.0597975i
$951$	−1.68097	−	15.9934i	−0.0545092	−	0.518620i
$952$	12.2335	−	3.99992i	0.396491	−	0.129638i
$953$	−36.0322	−	32.4435i	−1.16720	−	1.05095i	−0.997860	−	0.0653909i	$-0.979171\pi$
$953$	−36.0322	−	32.4435i	−1.16720	−	1.05095i	−0.169337	−	0.985558i	$-0.554163\pi$
$954$	13.4882	−	13.9846i	0.436695	−	0.452769i
$955$	0.525561	−	5.00038i	0.0170067	−	0.161808i
$956$	29.9199	+	12.0456i	0.967679	+	0.389582i
$957$	−2.92544	−	7.67548i	−0.0945659	−	0.248113i
$958$	−45.6167	+	3.21806i	−1.47381	+	0.103971i
$959$	−15.4889	+	6.89609i	−0.500162	+	0.222686i
$960$	5.59011	+	2.46417i	0.180420	+	0.0795306i
$961$	1.20808	+	3.71809i	0.0389703	+	0.119938i
$962$	−5.35678	−	2.79075i	−0.172710	−	0.0899774i
$963$	12.9008	−	9.37295i	0.415721	−	0.302039i
$964$	19.5561	+	39.9709i	0.629860	+	1.28738i
$965$	5.72380	−	5.15373i	0.184256	−	0.165905i
$966$	−11.0788	−	6.91334i	−0.356456	−	0.222433i
$967$			18.0860i			0.581606i	0.956783	+	0.290803i	$0.0939225\pi$
$967$			18.0860i			0.581606i	−0.956783	+	0.290803i	$0.906078\pi$
$968$	−28.3860	−	12.7372i	−0.912360	−	0.409388i
$969$	−12.8620	+	7.42587i	−0.413186	+	0.238553i
$970$	6.81794	+	12.8036i	0.218911	+	0.411100i
$971$	3.43697	+	16.1697i	0.110298	+	0.518909i	0.998259	+	0.0589904i	$0.0187881\pi$
$971$	3.43697	+	16.1697i	0.110298	+	0.518909i	−0.887961	+	0.459919i	$0.847879\pi$
$972$	−20.0238	+	9.79682i	−0.642264	+	0.314233i
$973$	−7.24617	+	0.761603i	−0.232302	+	0.0244159i
$974$	1.06569	−	0.188586i	0.0341468	−	0.00604269i
$975$	−22.6254	+	4.17145i	−0.724593	+	0.133593i
$976$	25.7672	−	41.4632i	0.824789	−	1.32720i
$977$	14.9835	+	33.6535i	0.479365	+	1.07667i	0.977761	+	0.209721i	$0.0672557\pi$
$977$	14.9835	+	33.6535i	0.479365	+	1.07667i	−0.498397	+	0.866949i	$0.666078\pi$
$978$	17.1531	+	25.3968i	0.548496	+	0.812100i
$979$	−19.0637	−	15.5126i	−0.609279	−	0.495786i
$980$	5.56090	−	4.35570i	0.177637	−	0.139138i
$981$	1.75145	−	16.6639i	0.0559193	−	0.532037i
$982$	18.9289	+	4.70712i	0.604045	+	0.150210i
$983$	13.8617	+	42.6620i	0.442121	+	1.36071i	0.885611	+	0.464428i	$0.153740\pi$
$983$	13.8617	+	42.6620i	0.442121	+	1.36071i	−0.443490	+	0.896279i	$0.646260\pi$
$984$	29.0542	+	6.11957i	0.926213	+	0.195085i
$985$	−10.0423	+	1.05549i	−0.319975	+	0.0336307i
$986$	−11.0162	−	8.59589i	−0.350828	−	0.273749i
$987$	−0.333788	+	1.02729i	−0.0106246	+	0.0326991i
$988$	14.4089	+	1.38313i	0.458407	+	0.0440032i
$989$			50.2793i			1.59879i
$990$	2.85023	−	0.975804i	0.0905861	−	0.0310131i
$991$	17.0788	+	9.86043i	0.542525	+	0.313227i	0.746102	−	0.665832i	$-0.231923\pi$
$991$	17.0788	+	9.86043i	0.542525	+	0.313227i	−0.203577	+	0.979059i	$0.565257\pi$
$992$	23.2915	+	23.9709i	0.739507	+	0.761078i
$993$	−12.2305	−	3.97393i	−0.388123	−	0.126109i
$994$	−4.34714	−	10.7405i	−0.137883	−	0.340668i
$995$	−1.05295	−	0.468805i	−0.0333809	−	0.0148621i
$996$	8.19575	+	2.33917i	0.259692	+	0.0741195i
$997$	15.0238	+	13.5275i	0.475809	+	0.428421i	0.871821	−	0.489825i	$-0.162939\pi$
$997$	15.0238	+	13.5275i	0.475809	+	0.428421i	−0.396011	+	0.918246i	$0.629606\pi$
$998$	−2.00595	−	6.97936i	−0.0634973	−	0.220928i
$999$	−6.10917	+	2.71998i	−0.193286	+	0.0860564i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	572.2.bn.a.95.2	✓	640
4.3	odd	2	inner	572.2.bn.a.95.24	yes	640
11.8	odd	10	inner	572.2.bn.a.459.50	yes	640
13.10	even	6	inner	572.2.bn.a.491.27	yes	640
44.19	even	10	inner	572.2.bn.a.459.27	yes	640
52.23	odd	6	inner	572.2.bn.a.491.50	yes	640
143.140	odd	30	inner	572.2.bn.a.283.24	yes	640
572.283	even	30	inner	572.2.bn.a.283.2	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
572.2.bn.a.95.2	✓	640	1.1	even	1	trivial
572.2.bn.a.95.24	yes	640	4.3	odd	2	inner
572.2.bn.a.283.2	yes	640	572.283	even	30	inner
572.2.bn.a.283.24	yes	640	143.140	odd	30	inner
572.2.bn.a.459.27	yes	640	44.19	even	10	inner
572.2.bn.a.459.50	yes	640	11.8	odd	10	inner
572.2.bn.a.491.27	yes	640	13.10	even	6	inner
572.2.bn.a.491.50	yes	640	52.23	odd	6	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 572 = 2^{2} \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	572.bn (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41338 - 0.0484849i) q^{2} +(1.01203 - 0.911240i) q^{3} +(1.99530 + 0.137055i) q^{4} +(0.329599 + 0.453654i) q^{5} +(-1.47457 + 1.23886i) q^{6} +(0.622444 + 0.560451i) q^{7} +(-2.81347 - 0.290453i) q^{8} +(-0.119730 + 1.13915i) q^{9} +O(q^{10})\)	\(q+(-1.41338 - 0.0484849i) q^{2} +(1.01203 - 0.911240i) q^{3} +(1.99530 + 0.137055i) q^{4} +(0.329599 + 0.453654i) q^{5} +(-1.47457 + 1.23886i) q^{6} +(0.622444 + 0.560451i) q^{7} +(-2.81347 - 0.290453i) q^{8} +(-0.119730 + 1.13915i) q^{9} +(-0.443854 - 0.657168i) q^{10} +(3.27455 + 0.526616i) q^{11} +(2.14420 - 1.67949i) q^{12} +(0.844983 - 3.50514i) q^{13} +(-0.852578 - 0.822311i) q^{14} +(0.746954 + 0.158770i) q^{15} +(3.96243 + 0.546933i) q^{16} +(-2.20978 + 4.96324i) q^{17} +(0.224456 - 1.60425i) q^{18} +(0.417349 + 1.96347i) q^{19} +(0.595473 + 0.950349i) q^{20} +1.14064 q^{21} +(-4.60266 - 0.903076i) q^{22} +(7.01090 + 4.04774i) q^{23} +(-3.11201 + 2.26980i) q^{24} +(1.44792 - 4.45623i) q^{25} +(-1.36423 + 4.91313i) q^{26} +(3.31826 + 4.56719i) q^{27} +(1.16515 + 1.20358i) q^{28} +(0.378111 - 1.77887i) q^{29} +(-1.04803 - 0.260619i) q^{30} +(-4.78001 - 3.47288i) q^{31} +(-5.57391 - 0.965143i) q^{32} +(3.79383 - 2.45095i) q^{33} +(3.36390 - 6.90782i) q^{34} +(-0.0490941 + 0.467099i) q^{35} +(-0.395024 + 2.25654i) q^{36} +(-0.246286 + 1.15869i) q^{37} +(-0.494674 - 2.79537i) q^{38} +(-2.33887 - 4.31730i) q^{39} +(-0.795553 - 1.37208i) q^{40} +(-5.15797 - 5.72850i) q^{41} +(-1.61216 - 0.0553038i) q^{42} +(3.10539 + 5.37869i) q^{43} +(6.46153 + 1.49955i) q^{44} +(-0.556245 + 0.321148i) q^{45} +(-9.71282 - 6.06093i) q^{46} +(-0.292632 + 0.900628i) q^{47} +(4.50850 - 3.05721i) q^{48} +(-0.658368 - 6.26395i) q^{49} +(-2.26252 + 6.22816i) q^{50} +(2.28633 + 7.03661i) q^{51} +(2.16639 - 6.87799i) q^{52} +(9.70361 + 7.05009i) q^{53} +(-4.46852 - 6.61607i) q^{54} +(0.840387 + 1.65909i) q^{55} +(-1.58845 - 1.75761i) q^{56} +(2.21156 + 1.60680i) q^{57} +(-0.620664 + 2.49590i) q^{58} +(0.0129921 - 0.0144292i) q^{59} +(1.46864 + 0.419167i) q^{60} +(4.96396 - 11.1492i) q^{61} +(6.58760 + 5.14027i) q^{62} +(-0.712965 + 0.641957i) q^{63} +(7.83127 + 1.63437i) q^{64} +(1.86863 - 0.771961i) q^{65} +(-5.48097 + 3.28018i) q^{66} +(1.89884 - 3.28888i) q^{67} +(-5.08941 + 9.60029i) q^{68} +(10.7837 - 2.29215i) q^{69} +(0.0920359 - 0.657809i) q^{70} +(8.93623 + 3.97867i) q^{71} +(0.667728 - 3.17020i) q^{72} +(1.23344 + 3.79615i) q^{73} +(0.404275 - 1.62572i) q^{74} +(-2.59536 - 5.82926i) q^{75} +(0.563631 + 3.97491i) q^{76} +(1.74308 + 2.16302i) q^{77} +(3.09639 + 6.21540i) q^{78} +(-3.38131 - 2.45667i) q^{79} +(1.05790 + 1.97784i) q^{80} +(4.15880 + 0.883980i) q^{81} +(7.01243 + 8.34665i) q^{82} +(1.83934 + 2.53163i) q^{83} +(2.27592 + 0.156331i) q^{84} +(-2.97994 + 0.633405i) q^{85} +(-4.12832 - 7.75271i) q^{86} +(-1.23832 - 2.14483i) q^{87} +(-9.05990 - 2.43273i) q^{88} +(-6.41766 - 3.70524i) q^{89} +(0.801758 - 0.426936i) q^{90} +(2.49042 - 1.70818i) q^{91} +(13.4341 + 9.03734i) q^{92} +(-8.00217 + 0.841061i) q^{93} +(0.457267 - 1.25874i) q^{94} +(-0.753179 + 0.836491i) q^{95} +(-6.52047 + 4.10241i) q^{96} +(-18.1917 - 1.91202i) q^{97} +(0.626819 + 8.88528i) q^{98} +(-0.991958 + 3.66716i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9}+O(q^{10}) \) 640 * q - 15 * q^2 - 3 * q^4 - 15 * q^6 - 78 * q^9	\( 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9} - 4 q^{12} - 20 q^{13} - 12 q^{14} - 19 q^{16} - 10 q^{17} - 45 q^{20} - 15 q^{22} - 15 q^{24} + 104 q^{25} - 20 q^{26} - 15 q^{28} - 10 q^{29} + 45 q^{30} - 24 q^{33} + 4 q^{36} - 18 q^{37} - 14 q^{38} - 20 q^{40} - 30 q^{41} - 13 q^{42} - 108 q^{45} - 15 q^{46} + 35 q^{48} - 74 q^{49} - 90 q^{50} + 15 q^{52} - 8 q^{53} + 50 q^{56} + 27 q^{58} - 10 q^{61} - 5 q^{62} - 84 q^{64} - 146 q^{66} - 70 q^{68} - 26 q^{69} - 15 q^{72} - 55 q^{74} + 44 q^{77} + 24 q^{78} - 39 q^{80} + 30 q^{81} - 29 q^{82} + 30 q^{84} - 30 q^{85} - 75 q^{88} - 24 q^{89} + 30 q^{90} + 14 q^{92} + 66 q^{93} - 5 q^{94} - 30 q^{97}+O(q^{100}) \) 640 * q - 15 * q^2 - 3 * q^4 - 15 * q^6 - 78 * q^9 - 4 * q^12 - 20 * q^13 - 12 * q^14 - 19 * q^16 - 10 * q^17 - 45 * q^20 - 15 * q^22 - 15 * q^24 + 104 * q^25 - 20 * q^26 - 15 * q^28 - 10 * q^29 + 45 * q^30 - 24 * q^33 + 4 * q^36 - 18 * q^37 - 14 * q^38 - 20 * q^40 - 30 * q^41 - 13 * q^42 - 108 * q^45 - 15 * q^46 + 35 * q^48 - 74 * q^49 - 90 * q^50 + 15 * q^52 - 8 * q^53 + 50 * q^56 + 27 * q^58 - 10 * q^61 - 5 * q^62 - 84 * q^64 - 146 * q^66 - 70 * q^68 - 26 * q^69 - 15 * q^72 - 55 * q^74 + 44 * q^77 + 24 * q^78 - 39 * q^80 + 30 * q^81 - 29 * q^82 + 30 * q^84 - 30 * q^85 - 75 * q^88 - 24 * q^89 + 30 * q^90 + 14 * q^92 + 66 * q^93 - 5 * q^94 - 30 * q^97

Introduction

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