LMFDB - Embedded newform 572.2.bn.a.283.2

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			283.2
Character	$\chi$	$=$	572.283
Dual form			572.2.bn.a.95.2

$q$-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 $\left(\mathbb{Z}/572\mathbb{Z}\right)^\times$.

$n$	$287$	$353$	$365$
$\chi(n)$	$-1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{3}{10}\right)$

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	0.907405	−	0.420258i	$-0.138060\pi$
$3$	1.01203	+	0.911240i	0.584298	+	0.526105i	−0.323106	+	0.946363i	$0.604727\pi$
$4$	1.99530	−	0.137055i	0.997649	−	0.0685277i
$5$	0.329599	−	0.453654i	0.147401	−	0.202880i	−0.728932	−	0.684587i	$-0.759983\pi$
$5$	0.329599	−	0.453654i	0.147401	−	0.202880i	0.876333	+	0.481706i	$0.159983\pi$
$6$	−1.47457	−	1.23886i	−0.601992	−	0.505763i
$7$	0.622444	−	0.560451i	0.235262	−	0.211831i	−0.543064	−	0.839691i	$-0.682736\pi$
$7$	0.622444	−	0.560451i	0.235262	−	0.211831i	0.778326	+	0.627861i	$0.216069\pi$
$8$	−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	−0.955219	−	0.295901i	$-0.904380\pi$
$17$	−2.20978	−	4.96324i	−0.535950	−	1.20376i	0.419269	−	0.907862i	$-0.362287\pi$
$18$	0.224456	+	1.60425i	0.0529047	+	0.378126i
$19$	0.417349	−	1.96347i	0.0957463	−	0.450451i	−0.903991	−	0.427551i	$-0.859377\pi$
$19$	0.417349	−	1.96347i	0.0957463	−	0.450451i	0.999738	−	0.0229005i	$-0.00729010\pi$
$20$	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	0.462775	−	0.886476i	$-0.346854\pi$
$23$	7.01090	−	4.04774i	1.46187	−	0.844013i	0.999098	+	0.0424630i	$0.0135205\pi$
$24$	−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	0.999209	−	0.0397620i	$-0.0126600\pi$
$29$	0.378111	+	1.77887i	0.0702135	+	0.330329i	−0.928996	+	0.370091i	$0.879327\pi$
$30$	−1.04803	+	0.260619i	−0.191344	+	0.0475822i
$31$	−4.78001	+	3.47288i	−0.858516	+	0.623748i	−0.927481	−	0.373871i	$-0.878030\pi$
$31$	−4.78001	+	3.47288i	−0.858516	+	0.623748i	0.0689651	+	0.997619i	$0.478030\pi$
$32$	−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	0.953255	−	0.302167i	$-0.0977101\pi$
$37$	−0.246286	−	1.15869i	−0.0404892	−	0.190487i	−0.993744	+	0.111680i	$0.964377\pi$
$38$	−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	−0.996207	−	0.0870128i	$-0.972268\pi$
$41$	−5.15797	+	5.72850i	−0.805539	+	0.894642i	0.190668	+	0.981655i	$0.438935\pi$
$42$	−1.61216	+	0.0553038i	−0.248762	+	0.00853357i
$43$	3.10539	−	5.37869i	0.473568	−	0.820243i	−0.525975	−	0.850500i	$-0.676299\pi$
$43$	3.10539	−	5.37869i	0.473568	−	0.820243i	0.999542	+	0.0302573i	$0.00963266\pi$
$44$	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	0.927443	−	0.373964i	$-0.122002\pi$
$47$	−0.292632	−	0.900628i	−0.0426847	−	0.131370i	−0.970128	+	0.242594i	$0.922002\pi$
$48$	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	0.333220	−	0.942849i	$-0.391865\pi$
$53$	9.70361	−	7.05009i	1.33289	−	0.968404i	0.999673	−	0.0255546i	$-0.00813517\pi$
$54$	−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	0.743990	−	0.668191i	$-0.232931\pi$
$59$	0.0129921	+	0.0144292i	0.00169142	+	0.00187852i	−0.742299	+	0.670069i	$0.766264\pi$
$60$	1.46864	−	0.419167i	0.189600	−	0.0541143i
$61$	4.96396	+	11.1492i	0.635570	+	1.42751i	0.887975	+	0.459892i	$0.152112\pi$
$61$	4.96396	+	11.1492i	0.635570	+	1.42751i	−0.252405	+	0.967622i	$0.581221\pi$
$62$	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	0.958391	−	0.285460i	$-0.0921463\pi$
$67$	1.89884	+	3.28888i	0.231980	+	0.401801i	−0.726411	+	0.687261i	$0.758813\pi$
$68$	−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	0.199064	−	0.979987i	$-0.436210\pi$
$71$	8.93623	−	3.97867i	1.06054	−	0.472181i	0.861472	+	0.507806i	$0.169543\pi$
$72$	0.667728	+	3.17020i	0.0786925	+	0.373612i
$73$	1.23344	−	3.79615i	0.144364	−	0.444306i	−0.852565	−	0.522621i	$-0.824954\pi$
$73$	1.23344	−	3.79615i	0.144364	−	0.444306i	0.996929	+	0.0783154i	$0.0249541\pi$
$74$	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	−0.761521	−	0.648140i	$-0.775547\pi$
$79$	−3.38131	+	2.45667i	−0.380427	+	0.276396i	0.381094	+	0.924536i	$0.375547\pi$
$80$	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	−0.696050	−	0.717993i	$-0.745061\pi$
$83$	1.83934	−	2.53163i	0.201893	−	0.277882i	0.897943	+	0.440111i	$0.145061\pi$
$84$	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	−0.799957	−	0.600057i	$-0.795144\pi$
$89$	−6.41766	+	3.70524i	−0.680271	+	0.392754i	0.119686	+	0.992812i	$0.461811\pi$
$90$	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	−0.962324	−	0.271906i	$-0.912346\pi$
$97$	−18.1917	+	1.91202i	−1.84709	+	0.194137i	−0.884762	+	0.466043i	$0.845679\pi$
$98$	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	−0.976267	−	0.216569i	$-0.930513\pi$
$101$	−1.62883	+	3.65841i	−0.162075	+	0.364026i	0.814193	+	0.580595i	$0.197180\pi$
$102$	−2.89029	+	10.0563i	−0.286182	+	0.995719i
$103$	19.1859	+	6.23386i	1.89044	+	0.614241i	0.979403	+	0.201913i	$0.0647158\pi$
$103$	19.1859	+	6.23386i	1.89044	+	0.614241i	0.911036	+	0.412328i	$0.135284\pi$
$104$	−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	0.0994349	+	0.995044i	$0.468297\pi$
$107$	−9.31538	+	10.3458i	−0.900552	+	1.00016i	−0.999987	+	0.00512028i	$0.998370\pi$
$108$	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	−0.556067	−	0.831137i	$-0.687690\pi$
$113$	−14.9047	−	3.16809i	−1.40211	−	0.298028i	−0.846047	+	0.533109i	$0.821024\pi$
$114$	−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	−0.808459	−	0.588553i	$-0.799698\pi$
$127$	1.17991	−	11.2261i	0.104700	−	0.996156i	0.913159	−	0.407603i	$-0.133635\pi$
$128$	−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	−0.810552	−	0.585666i	$-0.800833\pi$
$137$	−8.23334	−	18.4924i	−0.703422	−	1.57991i	0.107131	−	0.994245i	$-0.465834\pi$
$138$	−15.3527	−	2.71684i	−1.30691	−	0.231273i
$139$	−5.82074	−	6.46458i	−0.493709	−	0.548319i	0.443871	−	0.896091i	$-0.353605\pi$
$139$	−5.82074	−	6.46458i	−0.493709	−	0.548319i	−0.937579	+	0.347772i	$0.886938\pi$
$140$	−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	−0.551589	−	0.834116i	$-0.685978\pi$
$149$	−3.67180	+	1.63479i	−0.300805	+	0.133927i	0.250784	+	0.968043i	$0.419312\pi$
$150$	3.38560	−	8.36481i	0.276433	−	0.682984i
$151$	8.00230	−	2.60010i	0.651218	−	0.211593i	0.0352666	−	0.999378i	$-0.488772\pi$
$151$	8.00230	−	2.60010i	0.651218	−	0.211593i	0.615951	+	0.787785i	$0.288772\pi$
$152$	−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	0.945375	−	0.325985i	$-0.105696\pi$
$157$	−0.138568	−	0.426468i	−0.0110589	−	0.0340358i	−0.956434	+	0.291950i	$0.905696\pi$
$158$	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	0.842923	+	0.538034i	$0.180833\pi$
$163$	1.66335	+	15.8257i	0.130283	+	1.23956i	−0.712640	+	0.701530i	$0.752501\pi$
$164$	−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	0.468721	+	0.883346i	$0.344715\pi$
$167$	−6.47911	+	14.5523i	−0.501369	+	1.12609i	−0.970090	+	0.242746i	$0.921952\pi$
$168$	−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	−0.891620	−	0.452784i	$-0.850431\pi$
$173$	1.40841	−	6.62604i	0.107079	−	0.503769i	0.998699	−	0.0509845i	$-0.0162359\pi$
$174$	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	0.478295	−	0.878199i	$-0.341255\pi$
$179$	−4.61711	−	4.15726i	−0.345099	−	0.310728i	−0.823393	+	0.567471i	$0.807922\pi$
$180$	−1.15389	−	0.564550i	−0.0860059	−	0.0420791i
$181$	−11.1470	−	8.09874i	−0.828547	−	0.601975i	0.0906009	−	0.995887i	$-0.471121\pi$
$181$	−11.1470	−	8.09874i	−0.828547	−	0.601975i	−0.919148	+	0.393913i	$0.871121\pi$
$182$	−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	−0.874018	−	0.485894i	$-0.838494\pi$
$191$	−6.66337	+	5.99973i	−0.482145	+	0.434125i	0.391873	+	0.920019i	$0.371827\pi$
$192$	9.41482	+	5.48213i	0.679456	+	0.395639i
$193$	−1.43575	+	13.6602i	−0.103347	+	0.983285i	0.812827	+	0.582505i	$0.197927\pi$
$193$	−1.43575	+	13.6602i	−0.103347	+	0.983285i	−0.916174	+	0.400780i	$0.868739\pi$
$194$	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	−0.985100	−	0.171980i	$-0.944984\pi$
$197$	−9.00373	−	15.5949i	−0.641489	−	1.11109i	0.343611	−	0.939112i	$-0.388350\pi$
$198$	1.57982	+	5.13501i	0.112273	+	0.364929i
$199$	−1.78009	−	1.02774i	−0.126187	−	0.0728543i	0.435578	−	0.900151i	$-0.356544\pi$
$199$	−1.78009	−	1.02774i	−0.126187	−	0.0728543i	−0.561765	+	0.827297i	$0.689877\pi$
$200$	−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	0.156197	−	0.987726i	$-0.450077\pi$
$211$	−6.87524	−	3.06105i	−0.473311	−	0.210732i	−0.629507	+	0.776994i	$0.716743\pi$
$212$	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	−0.265500	+	0.964111i	$0.585537\pi$
$223$	−17.8687	+	19.8452i	−1.19658	+	1.32893i	−0.931077	+	0.364822i	$0.881130\pi$
$224$	−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	−0.430412	−	0.902633i	$-0.641632\pi$
$227$	6.36237	−	5.72871i	0.422286	−	0.380228i	0.852698	+	0.522405i	$0.174965\pi$
$228$	4.19251	−	3.50914i	0.277656	−	0.232399i
$229$	1.41199	+	1.94343i	0.0933066	+	0.128426i	0.853118	−	0.521718i	$-0.174709\pi$
$229$	1.41199	+	1.94343i	0.0933066	+	0.128426i	−0.759811	+	0.650144i	$0.774709\pi$
$230$	−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	0.989793	+	0.142513i	$0.0455183\pi$
$233$	12.5086	+	17.2167i	0.819468	+	1.12790i	−0.170325	+	0.985388i	$0.554482\pi$
$234$	−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	0.232397	−	0.972621i	$-0.425343\pi$
$239$	15.3375	−	4.98346i	0.992102	−	0.322353i	0.759705	+	0.650268i	$0.225343\pi$
$240$	2.87292	−	1.03765i	0.185446	−	0.0669799i
$241$	11.1246	−	19.2684i	0.716600	−	1.24119i	−0.245739	−	0.969336i	$-0.579031\pi$
$241$	11.1246	−	19.2684i	0.716600	−	1.24119i	0.962339	−	0.271852i	$-0.0876361\pi$
$242$	−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	−0.0454905	−	0.998965i	$-0.514485\pi$
$251$	1.86487	−	0.196006i	0.117710	−	0.0123718i	0.163200	+	0.986593i	$0.447818\pi$
$252$	−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	−0.0611273	−	0.998130i	$-0.519470\pi$
$257$	4.63312	−	0.984800i	0.289006	−	0.0614301i	0.350133	+	0.936700i	$0.386136\pi$
$258$	−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	−0.984014	−	0.178093i	$-0.943007\pi$
$263$	−10.4803	−	18.1523i	−0.646240	−	1.11932i	0.337774	−	0.941227i	$-0.390326\pi$
$264$	−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	−0.986795	−	0.161973i	$-0.948214\pi$
$269$	−25.0401	+	11.1486i	−1.52672	+	0.679740i	−0.539925	+	0.841713i	$0.681548\pi$
$270$	1.52859	+	4.20782i	0.0930268	+	0.256080i
$271$	1.61713	+	7.60801i	0.0982338	+	0.462154i	0.999578	+	0.0290501i	$0.00924824\pi$
$271$	1.61713	+	7.60801i	0.0982338	+	0.462154i	−0.901344	+	0.433104i	$0.857418\pi$
$272$	−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	0.0899761	−	0.995944i	$-0.471321\pi$
$277$	6.40858	−	0.673569i	0.385054	−	0.0404709i	0.295078	+	0.955473i	$0.404654\pi$
$278$	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	0.939372	−	0.342901i	$-0.111409\pi$
$281$	15.1460	+	11.0042i	0.903535	+	0.656457i	−0.0358362	+	0.999358i	$0.511409\pi$
$282$	−0.684247	+	1.69057i	−0.0407463	+	0.100672i
$283$	6.34493	−	7.04676i	0.377167	−	0.418886i	−0.524437	−	0.851449i	$-0.675724\pi$
$283$	6.34493	−	7.04676i	0.377167	−	0.418886i	0.901604	+	0.432563i	$0.142391\pi$
$284$	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	0.832829	−	0.553530i	$-0.186720\pi$
$293$	3.34260	+	3.71233i	0.195277	+	0.216877i	−0.637552	+	0.770407i	$0.720053\pi$
$294$	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	$-0.721877\pi$
$307$		−	26.8687i		−	1.53348i	0.641958	−	0.766740i	$-0.278123\pi$
$308$	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	−0.546283	−	0.837601i	$-0.683958\pi$
$311$	−8.74538	+	2.84155i	−0.495905	+	0.161129i	0.0503776	+	0.998730i	$0.483958\pi$
$312$	5.32638	−	12.8260i	0.301547	−	0.726127i
$313$	−15.8563	−	11.5203i	−0.896250	−	0.651164i	0.0412499	−	0.999149i	$-0.486866\pi$
$313$	−15.8563	−	11.5203i	−0.896250	−	0.651164i	−0.937500	+	0.347985i	$0.886866\pi$
$314$	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	0.958159	−	0.286236i	$-0.0924040\pi$
$317$	6.94100	+	9.55347i	0.389846	+	0.536576i	−0.568314	+	0.822812i	$0.692404\pi$
$318$	−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	−0.966114	−	0.258117i	$-0.916898\pi$
$331$	−4.72156	+	8.17798i	−0.259520	+	0.449503i	0.706593	+	0.707620i	$0.250231\pi$
$332$	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	0.174491	−	0.984659i	$-0.444172\pi$
$337$	−4.83008	−	1.56939i	−0.263111	−	0.0854900i	−0.437602	+	0.899169i	$0.644172\pi$
$338$	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	−0.320013	−	0.947413i	$-0.603687\pi$
$347$	3.16529	−	1.40928i	0.169922	−	0.0756540i	0.489935	+	0.871759i	$0.337021\pi$
$348$	−2.17686	+	4.44930i	−0.116692	+	0.238507i
$349$	−0.852548	+	0.946850i	−0.0456358	+	0.0506837i	−0.765531	−	0.643400i	$-0.777523\pi$
$349$	−0.852548	+	0.946850i	−0.0456358	+	0.0506837i	0.719895	+	0.694083i	$0.244190\pi$
$350$	−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	−0.805101	−	0.593138i	$-0.797889\pi$
$353$	−13.0387	+	7.52788i	−0.693978	+	0.400668i	0.111123	+	0.993807i	$0.464555\pi$
$354$	−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	0.819896	−	0.572512i	$-0.194031\pi$
$359$	21.7267	+	7.05944i	1.14669	+	0.372583i	0.326796	+	0.945095i	$0.394031\pi$
$360$	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	0.882917	+	0.469529i	$0.155576\pi$
$367$	5.12086	+	24.0918i	0.267307	+	1.25758i	−0.615610	+	0.788051i	$0.711090\pi$
$368$	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	0.868150	−	0.496302i	$-0.165309\pi$
$373$	16.8491	+	9.72785i	0.872415	+	0.503689i	0.00426520	+	0.999991i	$0.498642\pi$
$374$	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	−0.908924	−	0.416963i	$-0.863095\pi$
$379$	1.30103	−	12.3784i	0.0668293	−	0.635838i	0.975753	−	0.218875i	$-0.0702388\pi$
$380$	−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	0.858046	+	0.513572i	$0.171678\pi$
$383$	2.45663	+	23.3733i	0.125528	+	1.19432i	−0.732518	+	0.680747i	$0.761655\pi$
$384$	−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	0.373136	+	0.927777i	$0.378283\pi$
$389$	−9.35014	+	28.7768i	−0.474071	+	1.45904i	−0.847207	+	0.531264i	$0.821717\pi$
$390$	−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	−0.113954	−	0.993486i	$-0.536352\pi$
$397$	−20.5488	−	11.8639i	−1.03132	−	0.595430i	−0.917361	+	0.398056i	$0.869685\pi$
$398$	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	−0.378498	−	0.925602i	$-0.623559\pi$
$401$	−18.8469	−	1.98089i	−0.941169	−	0.0989208i	−0.562671	+	0.826681i	$0.690226\pi$
$402$	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	0.853281	+	0.521451i	$0.174609\pi$
$409$	2.56967	+	24.4488i	0.127062	+	1.20891i	−0.726219	+	0.687463i	$0.758724\pi$
$410$	−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	−0.460104	−	0.887865i	$-0.652188\pi$
$419$	1.61212	−	0.930759i	0.0787573	−	0.0454705i	0.538861	+	0.842394i	$0.318855\pi$
$420$	0.679221	−	1.08401i	0.0331426	−	0.0528941i
$421$	16.1262	−	5.23972i	0.785943	−	0.255368i	0.111567	−	0.993757i	$-0.464413\pi$
$421$	16.1262	−	5.23972i	0.785943	−	0.255368i	0.674375	+	0.738389i	$0.264413\pi$
$422$	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	0.465987	+	0.884791i	$0.345699\pi$
$431$	−10.4498	+	23.4705i	−0.503347	+	1.13054i	−0.969335	+	0.245745i	$0.920967\pi$
$432$	10.6504	−	19.9120i	0.512418	−	0.958018i
$433$	0.239441	+	0.265926i	0.0115068	+	0.0127796i	0.748871	−	0.662716i	$-0.230596\pi$
$433$	0.239441	+	0.265926i	0.0115068	+	0.0127796i	−0.737364	+	0.675496i	$0.763930\pi$
$434$	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	0.981345	−	0.192255i	$-0.0615801\pi$
$439$	6.79221	+	11.7645i	0.324175	+	0.561487i	−0.657170	+	0.753742i	$0.728247\pi$
$440$	−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	−0.520690	−	0.853746i	$-0.674325\pi$
$443$	−9.26341	+	3.00987i	−0.440118	+	0.143003i	0.0805721	+	0.996749i	$0.474325\pi$
$444$	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	−0.232564	−	0.972581i	$-0.574712\pi$
$449$	−5.46343	+	0.574230i	−0.257835	+	0.0270996i	−0.0252711	+	0.999681i	$0.508045\pi$
$450$	−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	0.957231	+	0.289325i	$0.0934309\pi$
$457$	−0.838777	+	7.98043i	−0.0392363	+	0.373309i	−0.996467	+	0.0839834i	$0.973236\pi$
$458$	−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	−0.905167	−	0.425056i	$-0.860254\pi$
$461$	−1.81373	+	3.14148i	−0.0844740	+	0.146313i	0.820693	+	0.571369i	$0.193588\pi$
$462$	−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	−0.336030	−	0.941851i	$-0.609085\pi$
$467$	14.3397	−	19.7369i	0.663562	−	0.913315i	0.999593	+	0.0285360i	$0.00908452\pi$
$468$	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	0.805140	−	0.593085i	$-0.202090\pi$
$479$	32.1589	+	3.38003i	1.46938	+	0.154438i	0.664237	+	0.747522i	$0.268757\pi$
$480$	−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	0.190921	−	0.981605i	$-0.438853\pi$
$487$	−0.748539	−	0.159107i	−0.0339196	−	0.00720982i	−0.224840	+	0.974396i	$0.572186\pi$
$488$	−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	−0.502006	−	0.864864i	$-0.667404\pi$
$491$	−13.4910	+	2.86760i	−0.608839	+	0.129413i	−0.106833	+	0.994277i	$0.534071\pi$
$492$	−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	−0.909237	−	0.416280i	$-0.863334\pi$
$499$	1.58678	−	4.88362i	0.0710342	−	0.218621i	0.980271	+	0.197659i	$0.0633338\pi$
$500$	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	0.646407	−	0.762993i	$-0.276271\pi$
$503$	20.7813	+	4.41720i	0.926592	+	0.196953i	0.280185	+	0.959946i	$0.409604\pi$
$504$	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	0.679030	−	0.734111i	$-0.262401\pi$
$509$	0.449373	+	0.404618i	0.0199181	+	0.0179344i	−0.659111	+	0.752045i	$0.729067\pi$
$510$	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	−0.964435	−	0.264321i	$-0.914852\pi$
$521$	−0.657985	+	2.02507i	−0.0288269	+	0.0887199i	0.935608	+	0.353041i	$0.114852\pi$
$522$	−2.76890	+	1.00587i	−0.121191	+	0.0440255i
$523$	−2.15368	+	20.4909i	−0.0941740	+	0.896006i	0.840813	+	0.541325i	$0.182077\pi$
$523$	−2.15368	+	20.4909i	−0.0941740	+	0.896006i	−0.934987	+	0.354681i	$0.884589\pi$
$524$	−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	−0.280967	−	0.959717i	$-0.590655\pi$
$541$	12.6753	−	9.20915i	0.544954	−	0.395932i	0.825922	+	0.563785i	$0.190655\pi$
$542$	−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	0.990267	−	0.139182i	$-0.0444474\pi$
$547$	2.50988	+	7.72462i	0.107315	+	0.330281i	−0.882952	+	0.469463i	$0.844447\pi$
$548$	−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	−0.312985	−	0.949758i	$-0.601329\pi$
$557$	−5.01778	+	1.06656i	−0.212610	+	0.0451917i	0.100375	+	0.994950i	$0.467996\pi$
$558$	−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	−0.922866	−	0.385122i	$-0.874159\pi$
$563$	−2.37841	−	22.6291i	−0.100238	−	0.953702i	0.822628	−	0.568581i	$-0.192507\pi$
$564$	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	0.928058	−	0.372435i	$-0.121477\pi$
$569$	15.6164	+	14.0610i	0.654671	+	0.589469i	−0.273387	+	0.961904i	$0.588144\pi$
$570$	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	−0.970654	−	0.240479i	$-0.922695\pi$
$577$	−10.6171	+	14.6132i	−0.441996	+	0.608356i	0.528658	+	0.848835i	$0.322695\pi$
$578$	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	−0.476857	−	0.878981i	$-0.658224\pi$
$587$	−13.4459	+	2.85802i	−0.554973	+	0.117963i	−0.0781163	+	0.996944i	$0.524891\pi$
$588$	−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	−0.844898	−	0.534928i	$-0.820339\pi$
$599$	−1.83713	+	2.52860i	−0.0750632	+	0.103316i	0.769834	+	0.638244i	$0.220339\pi$
$600$	5.60883	−	17.1543i	0.228980	−	0.700322i
$601$	8.33604	+	39.2180i	0.340034	+	1.59973i	0.733031	+	0.680195i	$0.238105\pi$
$601$	8.33604	+	39.2180i	0.340034	+	1.59973i	−0.392997	+	0.919540i	$0.628562\pi$
$602$	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	−0.997268	−	0.0738702i	$-0.976465\pi$
$607$	−0.915307	−	8.70856i	−0.0371512	−	0.353470i	0.960117	−	0.279600i	$-0.0902017\pi$
$608$	−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	−0.398326	−	0.917244i	$-0.630409\pi$
$613$	13.7543	−	15.2757i	0.555530	−	0.616978i	0.953856	+	0.300266i	$0.0970754\pi$
$614$	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	0.986593	−	0.163201i	$-0.0521818\pi$
$617$	33.2490	+	19.1963i	1.33855	+	0.772814i	0.351961	+	0.936015i	$0.385515\pi$
$618$	−20.5681	−	32.9609i	−0.827368	−	1.32588i
$619$	−7.49375	−	23.0634i	−0.301199	−	0.926997i	−0.981068	−	0.193663i	$-0.937963\pi$
$619$	−7.49375	−	23.0634i	−0.301199	−	0.926997i	0.679869	−	0.733334i	$-0.262037\pi$
$620$	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	0.110114	−	0.993919i	$-0.464878\pi$
$631$	−22.3533	−	24.8258i	−0.889870	−	0.988301i	−0.999984	+	0.00561825i	$0.998212\pi$
$632$	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	0.734269	−	0.678859i	$-0.237525\pi$
$641$	28.5825	+	6.07539i	1.12894	+	0.239964i	0.394671	+	0.918822i	$0.370858\pi$
$642$	26.5532	−	3.71513i	1.04797	−	0.146625i
$643$	44.2185	−	19.6874i	1.74381	−	0.776394i	0.750505	−	0.660865i	$-0.229810\pi$
$643$	44.2185	−	19.6874i	1.74381	−	0.776394i	0.993304	−	0.115529i	$-0.0368563\pi$
$644$	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	−0.495939	−	0.868358i	$-0.665176\pi$
$647$	12.2405	−	27.4927i	0.481225	−	1.08085i	0.977163	−	0.212490i	$-0.0681575\pi$
$648$	−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	−0.265904	−	0.964000i	$-0.585670\pi$
$653$	−2.98278	+	0.634010i	−0.116725	+	0.0248107i	0.149179	+	0.988810i	$0.452337\pi$
$654$	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	−0.796321	−	0.604874i	$-0.793223\pi$
$659$	3.22623	−	5.58800i	0.125676	−	0.217677i	0.921997	+	0.387197i	$0.126557\pi$
$660$	4.58838	−	2.14599i	0.178602	−	0.0835326i
$661$	30.9679	−	17.8793i	1.20451	−	0.695426i	0.242957	−	0.970037i	$-0.421883\pi$
$661$	30.9679	−	17.8793i	1.20451	−	0.695426i	0.961555	+	0.274611i	$0.0885492\pi$
$662$	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	−0.798816	−	0.601576i	$-0.794540\pi$
$673$	4.74106	−	10.6486i	0.182755	−	0.410473i	0.981570	+	0.191103i	$0.0612063\pi$
$674$	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	−0.832768	−	0.553622i	$-0.813245\pi$
$677$	−1.27242	+	1.75133i	−0.0489030	+	0.0673092i	0.783865	+	0.620931i	$0.213245\pi$
$678$	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	0.493837	+	0.869555i	$0.335594\pi$
$683$	−13.2275	+	22.9108i	−0.506138	+	0.876656i	−0.999975	+	0.00710192i	$0.997739\pi$
$684$	−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	−0.998279	−	0.0586469i	$-0.981321\pi$
$691$	−44.9464	−	20.0114i	−1.70984	−	0.761270i	−0.711562	−	0.702623i	$-0.752012\pi$
$692$	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	−0.898131	−	0.439729i	$-0.855075\pi$
$701$	−36.1739	+	11.7536i	−1.36627	+	0.443927i	−0.468137	+	0.883656i	$0.655075\pi$
$702$	−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	0.999988	+	0.00483080i	$0.00153770\pi$
$709$	8.90557	+	20.0022i	0.334456	+	0.751199i	−0.665533	+	0.746369i	$0.731796\pi$
$710$	−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	−0.975935	−	0.218060i	$-0.930027\pi$
$719$	−23.0892	+	20.7896i	−0.861083	+	0.775322i	0.114853	+	0.993383i	$0.463360\pi$
$720$	−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	$-0.949999\pi$
$727$		−	8.43605i		−	0.312876i	0.987688	−	0.156438i	$-0.0500011\pi$
$728$	−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	−0.885393	−	0.464844i	$-0.846111\pi$
$733$	2.81930	−	8.67692i	0.104133	−	0.320489i	0.989526	+	0.144354i	$0.0461105\pi$
$734$	−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	−0.316164	−	0.948705i	$-0.602395\pi$
$739$	16.3220	−	36.6599i	0.600416	−	1.34856i	0.916580	−	0.399852i	$-0.130938\pi$
$740$	−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	−0.405868	−	0.913932i	$-0.633031\pi$
$743$	−27.0640	−	2.84455i	−0.992883	−	0.104356i	−0.587016	+	0.809576i	$0.699697\pi$
$744$	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	0.331027	−	0.943621i	$-0.392605\pi$
$751$	−15.6979	−	14.1344i	−0.572823	−	0.515772i	−0.903850	+	0.427849i	$0.859271\pi$
$752$	−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	0.855021	−	0.518594i	$-0.173544\pi$
$757$	28.6623	+	12.7613i	1.04175	+	0.463817i	0.186730	+	0.982411i	$0.440211\pi$
$758$	−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	0.987440	+	0.157994i	$0.0505027\pi$
$761$	1.50143	+	14.2851i	0.0544267	+	0.517836i	−0.933013	+	0.359842i	$0.882831\pi$
$762$	−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	−0.960231	−	0.279207i	$-0.909929\pi$
$769$	−20.0193	−	34.6745i	−0.721916	−	1.25039i	0.238315	−	0.971188i	$-0.423405\pi$
$770$	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	−0.995372	−	0.0960932i	$-0.969365\pi$
$773$	−1.30590	+	6.14376i	−0.0469698	+	0.220976i	0.948403	+	0.317069i	$0.102699\pi$
$774$	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	0.893146	−	0.449766i	$-0.148493\pi$
$787$	−1.08642	−	2.44014i	−0.0387267	−	0.0869815i	−0.931873	+	0.362785i	$0.881826\pi$
$788$	−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	−0.720480	−	0.693475i	$-0.756079\pi$
$797$	−19.4011	+	8.63794i	−0.687223	+	0.305971i	0.0332572	+	0.999447i	$0.489412\pi$
$798$	−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	−0.121498	−	0.992592i	$-0.538770\pi$
$809$	−12.7058	−	1.33543i	−0.446713	−	0.0469514i	−0.325215	+	0.945640i	$0.605437\pi$
$810$	−1.26498	+	3.12539i	−0.0444468	+	0.109815i
$811$	14.0431	−	4.56287i	0.493119	−	0.160224i	−0.0518925	−	0.998653i	$-0.516525\pi$
$811$	14.0431	−	4.56287i	0.493119	−	0.160224i	0.545011	+	0.838429i	$0.316525\pi$
$812$	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	−0.135785	−	0.990738i	$-0.543356\pi$
$821$	4.10134	−	0.871767i	0.143138	−	0.0304249i	0.278923	+	0.960313i	$0.410022\pi$
$822$	−10.7688	+	37.4683i	−0.375607	+	1.30686i
$823$	18.5186	−	1.94638i	0.645517	−	0.0678466i	0.223888	−	0.974615i	$-0.428125\pi$
$823$	18.5186	−	1.94638i	0.645517	−	0.0678466i	0.421629	+	0.906768i	$0.361458\pi$
$824$	−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	−0.983773	−	0.179418i	$-0.942578\pi$
$827$	−24.4557	−	33.6604i	−0.850407	−	1.17049i	0.133365	−	0.991067i	$-0.457422\pi$
$828$	−11.9034	−	14.2214i	−0.413671	−	0.494229i
$829$	−39.0417	+	8.29857i	−1.35597	+	0.288221i	−0.827852	−	0.560947i	$-0.810437\pi$
$829$	−39.0417	+	8.29857i	−1.35597	+	0.288221i	−0.528123	+	0.849168i	$0.677104\pi$
$830$	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	0.999294	−	0.0375608i	$-0.0119588\pi$
$839$	54.9452	+	11.6790i	1.89692	+	0.403202i	0.897623	+	0.440763i	$0.145292\pi$
$840$	−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	0.625352	−	0.780343i	$-0.284955\pi$
$853$	2.23271	+	1.62216i	0.0764467	+	0.0555418i	−0.548906	+	0.835884i	$0.684955\pi$
$854$	−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	$-0.960766\pi$
$857$		−	7.19831i		−	0.245889i	0.992414	−	0.122945i	$-0.0392338\pi$
$858$	6.86617	−	21.9832i	0.234407	−	0.750496i
$859$		−	28.4529i		−	0.970801i	−0.874292	−	0.485401i	$-0.838674\pi$
$859$		−	28.4529i		−	0.970801i	0.874292	−	0.485401i	$-0.161326\pi$
$860$	−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	−0.110789	−	0.993844i	$-0.535338\pi$
$863$	−32.0274	−	23.2693i	−1.09023	−	0.792096i	−0.979438	+	0.201748i	$0.935338\pi$
$864$	−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	0.481542	−	0.876423i	$-0.340077\pi$
$877$	16.7314	+	3.55636i	0.564978	+	0.120090i	0.0834367	+	0.996513i	$0.473410\pi$
$878$	−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	−0.999564	−	0.0295121i	$-0.990605\pi$
$881$	−15.5930	−	27.0078i	−0.525340	−	0.909916i	0.474224	−	0.880404i	$-0.342729\pi$
$882$	−10.1967	+	0.349791i	−0.343342	+	0.0117781i
$883$	−49.7033	+	16.1496i	−1.67265	+	0.543476i	−0.983463	−	0.181109i	$-0.942031\pi$
$883$	−49.7033	+	16.1496i	−1.67265	+	0.543476i	−0.689185	+	0.724585i	$0.742031\pi$
$884$	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	0.547380	−	0.836885i	$-0.315625\pi$
$887$	41.3330	−	8.78561i	1.38783	−	0.294992i	0.840448	+	0.541893i	$0.182292\pi$
$888$	−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	0.133497	−	0.991049i	$-0.457379\pi$
$907$	1.74751	+	0.183671i	0.0580252	+	0.00609869i	−0.0754714	+	0.997148i	$0.524046\pi$
$908$	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	0.769234	−	0.638967i	$-0.220638\pi$
$911$	−2.29890	−	3.16417i	−0.0761661	−	0.104834i	−0.845400	+	0.534133i	$0.820638\pi$
$912$	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	−0.997271	−	0.0738289i	$-0.976478\pi$
$919$	−48.7984	+	21.7264i	−1.60971	+	0.716689i	−0.612439	+	0.790518i	$0.709811\pi$
$920$	−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	0.830994	−	0.556281i	$-0.187772\pi$
$929$	−4.21979	−	9.47779i	−0.138447	−	0.310956i	−0.969441	+	0.245325i	$0.921105\pi$
$930$	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	0.759064	−	0.651016i	$-0.225657\pi$
$937$	−2.89738	−	3.98790i	−0.0946532	−	0.130279i	−0.853717	+	0.520737i	$0.825657\pi$
$938$	−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	0.606479	−	0.795099i	$-0.292581\pi$
$941$	1.15668	+	0.840379i	0.0377068	+	0.0273956i	−0.568772	+	0.822495i	$0.692581\pi$
$942$	−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	0.940260	+	0.340457i	$0.110582\pi$
$947$	23.5408	+	40.7739i	0.764974	+	1.32497i	−0.175286	+	0.984518i	$0.556085\pi$
$948$	−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	−0.169337	+	0.985558i	$0.554163\pi$
$953$	−36.0322	+	32.4435i	−1.16720	+	1.05095i	−0.997860	+	0.0653909i	$0.979171\pi$
$954$	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	$-0.906078\pi$
$967$		−	18.0860i		−	0.581606i	0.956783	−	0.290803i	$-0.0939225\pi$
$968$	−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	−0.887961	−	0.459919i	$-0.847879\pi$
$971$	3.43697	−	16.1697i	0.110298	−	0.518909i	0.998259	−	0.0589904i	$-0.0187881\pi$
$972$	−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	−0.498397	−	0.866949i	$-0.666078\pi$
$977$	14.9835	−	33.6535i	0.479365	−	1.07667i	0.977761	−	0.209721i	$-0.0672557\pi$
$978$	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	−0.443490	−	0.896279i	$-0.646260\pi$
$983$	13.8617	−	42.6620i	0.442121	−	1.36071i	0.885611	−	0.464428i	$-0.153740\pi$
$984$	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	−0.203577	−	0.979059i	$-0.565257\pi$
$991$	17.0788	−	9.86043i	0.542525	−	0.313227i	0.746102	+	0.665832i	$0.231923\pi$
$992$	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	−0.396011	−	0.918246i	$-0.629606\pi$
$997$	15.0238	−	13.5275i	0.475809	−	0.428421i	0.871821	+	0.489825i	$0.162939\pi$
$998$	−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.283.2	yes	640
4.3	odd	2	inner	572.2.bn.a.283.24	yes	640
11.7	odd	10	inner	572.2.bn.a.491.50	yes	640
13.4	even	6	inner	572.2.bn.a.459.27	yes	640
44.7	even	10	inner	572.2.bn.a.491.27	yes	640
52.43	odd	6	inner	572.2.bn.a.459.50	yes	640
143.95	odd	30	inner	572.2.bn.a.95.24	yes	640
572.95	even	30	inner	572.2.bn.a.95.2	✓	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
572.2.bn.a.95.2	✓	640	572.95	even	30	inner
572.2.bn.a.95.24	yes	640	143.95	odd	30	inner
572.2.bn.a.283.2	yes	640	1.1	even	1	trivial
572.2.bn.a.283.24	yes	640	4.3	odd	2	inner
572.2.bn.a.459.27	yes	640	13.4	even	6	inner
572.2.bn.a.459.50	yes	640	52.43	odd	6	inner
572.2.bn.a.491.27	yes	640	44.7	even	10	inner
572.2.bn.a.491.50	yes	640	11.7	odd	10	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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