LMFDB - Embedded newform 966.2.be.b.19.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(19,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([0, 55, 45]))

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

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

chi := DirichletCharacter("966.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.be (of order $66$, degree $20$, 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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$16$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			19.9
Character	$\chi$	$=$	966.19
Dual form			966.2.be.b.661.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.995472 - 0.0950560i) q^{2} +(0.690079 - 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(-3.62091 + 1.86671i) q^{5} +(-0.755750 + 0.654861i) q^{6} +(-2.61175 - 0.422774i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +O(q^{10})$	\(q+(-0.995472 - 0.0950560i) q^{2} +(0.690079 - 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(-3.62091 + 1.86671i) q^{5} +(-0.755750 + 0.654861i) q^{6} +(-2.61175 - 0.422774i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +(3.78196 - 1.51407i) q^{10} +(-0.0844155 - 0.884039i) q^{11} +(0.814576 - 0.580057i) q^{12} +(1.52708 + 0.219561i) q^{13} +(2.55974 + 0.669122i) q^{14} +(-1.14771 + 3.90876i) q^{15} +(0.928368 + 0.371662i) q^{16} +(0.231804 - 0.669754i) q^{17} +(-0.0475819 + 0.998867i) q^{18} +(-1.48093 - 4.27886i) q^{19} +(-3.90876 + 1.14771i) q^{20} +(-2.10829 + 1.59847i) q^{21} +0.888060i q^{22} +(0.00640398 + 4.79583i) q^{23} +(-0.866025 + 0.500000i) q^{24} +(6.72612 - 9.44551i) q^{25} +(-1.49929 - 0.363725i) q^{26} +(-0.755750 - 0.654861i) q^{27} +(-2.48455 - 0.909411i) q^{28} +(5.17431 + 5.97147i) q^{29} +(1.51407 - 3.78196i) q^{30} +(3.99330 - 0.968763i) q^{31} +(-0.888835 - 0.458227i) q^{32} +(-0.698062 - 0.548962i) q^{33} +(-0.294419 + 0.644687i) q^{34} +(10.2461 - 3.34456i) q^{35} +(0.142315 - 0.989821i) q^{36} +(9.13220 - 0.435020i) q^{37} +(1.06749 + 4.40026i) q^{38} +(1.21271 - 0.953685i) q^{39} +(4.00015 - 0.770966i) q^{40} +(0.0595371 - 0.0926416i) q^{41} +(2.25069 - 1.39082i) q^{42} +(2.62814 + 8.95062i) q^{43} +(0.0844155 - 0.884039i) q^{44} +(2.03689 + 3.52799i) q^{45} +(0.449497 - 4.77472i) q^{46} +(6.97283 + 4.02576i) q^{47} +(0.909632 - 0.415415i) q^{48} +(6.64253 + 2.20836i) q^{49} +(-7.59352 + 8.76338i) q^{50} +(-0.324761 - 0.629948i) q^{51} +(1.45793 + 0.504595i) q^{52} +(-4.97476 - 6.32592i) q^{53} +(0.690079 + 0.723734i) q^{54} +(1.95591 + 3.04345i) q^{55} +(2.38685 + 1.14146i) q^{56} +(-4.11872 - 1.88096i) q^{57} +(-4.58326 - 6.43628i) q^{58} +(-0.313051 - 0.781965i) q^{59} +(-1.86671 + 3.62091i) q^{60} +(2.80178 - 2.67149i) q^{61} +(-4.06730 + 0.584790i) q^{62} +(-0.298022 + 2.62891i) q^{63} +(0.841254 + 0.540641i) q^{64} +(-5.93928 + 2.05560i) q^{65} +(0.642719 + 0.612831i) q^{66} +(3.58242 + 2.55103i) q^{67} +(0.354367 - 0.613782i) q^{68} +(3.47532 + 3.30486i) q^{69} +(-10.5177 + 2.35546i) q^{70} +(-1.00601 - 2.20286i) q^{71} +(-0.235759 + 0.971812i) q^{72} +(2.26969 - 11.7763i) q^{73} +(-9.13220 - 0.435020i) q^{74} +(-2.19449 - 11.3861i) q^{75} +(-0.644387 - 4.48181i) q^{76} +(-0.153276 + 2.34458i) q^{77} +(-1.29787 + 0.834092i) q^{78} +(-0.403591 + 0.513208i) q^{79} +(-4.05533 + 0.387237i) q^{80} +(-0.995472 + 0.0950560i) q^{81} +(-0.0680737 + 0.0865627i) q^{82} +(-4.72026 + 3.03353i) q^{83} +(-2.37271 + 1.17059i) q^{84} +(0.410894 + 2.85783i) q^{85} +(-1.76543 - 9.15991i) q^{86} +(7.89244 + 0.375963i) q^{87} +(-0.168066 + 0.872011i) q^{88} +(0.351277 - 1.44798i) q^{89} +(-1.69231 - 3.70563i) q^{90} +(-3.89553 - 1.21905i) q^{91} +(-0.901328 + 4.71037i) q^{92} +(2.05456 - 3.55861i) q^{93} +(-6.55858 - 4.67034i) q^{94} +(13.3497 + 12.7289i) q^{95} +(-0.945001 + 0.327068i) q^{96} +(-14.7118 - 9.45473i) q^{97} +(-6.40253 - 2.82977i) q^{98} +(-0.879021 + 0.126384i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 16 q^{2} + 16 q^{4} - 32 q^{8} - 16 q^{9}+O(q^{10}) $ 320 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 - 16 * q^9	$ 320 q + 16 q^{2} + 16 q^{4} - 32 q^{8} - 16 q^{9} + 22 q^{14} + 16 q^{16} - 66 q^{17} - 16 q^{18} + 36 q^{23} + 24 q^{25} + 12 q^{26} + 44 q^{28} + 8 q^{29} - 48 q^{31} + 16 q^{32} - 46 q^{35} + 32 q^{36} - 22 q^{37} + 66 q^{38} + 8 q^{39} + 176 q^{43} - 8 q^{46} + 120 q^{47} - 24 q^{49} - 48 q^{50} - 22 q^{51} - 12 q^{52} - 44 q^{53} + 44 q^{57} + 18 q^{58} + 12 q^{59} - 32 q^{64} - 108 q^{70} - 48 q^{71} - 16 q^{72} + 252 q^{73} + 22 q^{74} - 36 q^{75} - 42 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 12 q^{82} - 22 q^{84} - 76 q^{85} + 22 q^{86} + 24 q^{87} - 22 q^{88} + 16 q^{92} + 12 q^{94} + 26 q^{95} + 2 q^{98} + 88 q^{99}+O(q^{100}) $ 320 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 - 16 * q^9 + 22 * q^14 + 16 * q^16 - 66 * q^17 - 16 * q^18 + 36 * q^23 + 24 * q^25 + 12 * q^26 + 44 * q^28 + 8 * q^29 - 48 * q^31 + 16 * q^32 - 46 * q^35 + 32 * q^36 - 22 * q^37 + 66 * q^38 + 8 * q^39 + 176 * q^43 - 8 * q^46 + 120 * q^47 - 24 * q^49 - 48 * q^50 - 22 * q^51 - 12 * q^52 - 44 * q^53 + 44 * q^57 + 18 * q^58 + 12 * q^59 - 32 * q^64 - 108 * q^70 - 48 * q^71 - 16 * q^72 + 252 * q^73 + 22 * q^74 - 36 * q^75 - 42 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 12 * q^82 - 22 * q^84 - 76 * q^85 + 22 * q^86 + 24 * q^87 - 22 * q^88 + 16 * q^92 + 12 * q^94 + 26 * q^95 + 2 * q^98 + 88 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{15}{22}\right)$

Coefficient data

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

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

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

$2$	−0.995472	−	0.0950560i	−0.703905	−	0.0672148i
$2$	−0.995472	−	0.0950560i	−0.703905	−	0.0672148i
$3$	0.690079	−	0.723734i	0.398417	−	0.417848i
$3$	0.690079	−	0.723734i	0.398417	−	0.417848i
$4$	0.981929	+	0.189251i	0.490964	+	0.0946256i
$5$	−3.62091	+	1.86671i	−1.61932	+	0.834818i	−0.620607	+	0.784121i	$0.713114\pi$
$5$	−3.62091	+	1.86671i	−1.61932	+	0.834818i	−0.998714	+	0.0506968i	$0.983856\pi$
$6$	−0.755750	+	0.654861i	−0.308533	+	0.267346i
$7$	−2.61175	−	0.422774i	−0.987150	−	0.159793i
$7$	−2.61175	−	0.422774i	−0.987150	−	0.159793i
$8$	−0.959493	−	0.281733i	−0.339232	−	0.0996075i
$9$	−0.0475819	−	0.998867i	−0.0158606	−	0.332956i
$10$	3.78196	−	1.51407i	1.19596	−	0.478790i
$11$	−0.0844155	−	0.884039i	−0.0254522	−	0.266548i	−0.999236	−	0.0390735i	$-0.987559\pi$
$11$	−0.0844155	−	0.884039i	−0.0254522	−	0.266548i	0.973784	−	0.227474i	$-0.0730467\pi$
$12$	0.814576	−	0.580057i	0.235148	−	0.167448i
$13$	1.52708	+	0.219561i	0.423536	+	0.0608952i	0.350787	−	0.936455i	$-0.385914\pi$
$13$	1.52708	+	0.219561i	0.423536	+	0.0608952i	0.0727483	+	0.997350i	$0.476823\pi$
$14$	2.55974	+	0.669122i	0.684120	+	0.178830i
$15$	−1.14771	+	3.90876i	−0.296339	+	1.00924i
$16$	0.928368	+	0.371662i	0.232092	+	0.0929156i
$17$	0.231804	−	0.669754i	0.0562208	−	0.162439i	−0.913394	−	0.407077i	$-0.866548\pi$
$17$	0.231804	−	0.669754i	0.0562208	−	0.162439i	0.969614	+	0.244638i	$0.0786692\pi$
$18$	−0.0475819	+	0.998867i	−0.0112152	+	0.235435i
$19$	−1.48093	−	4.27886i	−0.339748	−	0.981639i	−0.977415	−	0.211327i	$-0.932222\pi$
$19$	−1.48093	−	4.27886i	−0.339748	−	0.981639i	0.637667	−	0.770312i	$-0.279900\pi$
$20$	−3.90876	+	1.14771i	−0.874024	+	0.256637i
$21$	−2.10829	+	1.59847i	−0.460067	+	0.348814i
$22$			0.888060i			0.189335i
$23$	0.00640398	+	4.79583i	0.00133532	+	0.999999i
$23$	0.00640398	+	4.79583i	0.00133532	+	0.999999i
$24$	−0.866025	+	0.500000i	−0.176777	+	0.102062i
$25$	6.72612	−	9.44551i	1.34522	−	1.88910i
$26$	−1.49929	−	0.363725i	−0.294036	−	0.0713323i
$27$	−0.755750	−	0.654861i	−0.145444	−	0.126028i
$28$	−2.48455	−	0.909411i	−0.469535	−	0.171863i
$29$	5.17431	+	5.97147i	0.960845	+	1.10887i	0.993995	+	0.109424i	$0.0349007\pi$
$29$	5.17431	+	5.97147i	0.960845	+	1.10887i	−0.0331497	+	0.999450i	$0.510554\pi$
$30$	1.51407	−	3.78196i	0.276430	−	0.690488i
$31$	3.99330	−	0.968763i	0.717217	−	0.173995i	0.139488	−	0.990224i	$-0.455454\pi$
$31$	3.99330	−	0.968763i	0.717217	−	0.173995i	0.577729	+	0.816229i	$0.303939\pi$
$32$	−0.888835	−	0.458227i	−0.157125	−	0.0810038i
$33$	−0.698062	−	0.548962i	−0.121517	−	0.0955620i
$34$	−0.294419	+	0.644687i	−0.0504924	+	0.110563i
$35$	10.2461	−	3.34456i	1.73191	−	0.565334i
$36$	0.142315	−	0.989821i	0.0237191	−	0.164970i
$37$	9.13220	−	0.435020i	1.50132	−	0.0715169i	0.719271	−	0.694729i	$-0.244476\pi$
$37$	9.13220	−	0.435020i	1.50132	−	0.0715169i	0.782053	+	0.623212i	$0.214173\pi$
$38$	1.06749	+	4.40026i	0.173170	+	0.713816i
$39$	1.21271	−	0.953685i	0.194189	−	0.152712i
$40$	4.00015	−	0.770966i	0.632480	−	0.121900i
$41$	0.0595371	−	0.0926416i	0.00929813	−	0.0144682i	−0.836573	−	0.547855i	$-0.815445\pi$
$41$	0.0595371	−	0.0926416i	0.00929813	−	0.0144682i	0.845871	+	0.533387i	$0.179081\pi$
$42$	2.25069	−	1.39082i	0.347289	−	0.214609i
$43$	2.62814	+	8.95062i	0.400787	+	1.36496i	0.874820	+	0.484449i	$0.160980\pi$
$43$	2.62814	+	8.95062i	0.400787	+	1.36496i	−0.474032	+	0.880507i	$0.657202\pi$
$44$	0.0844155	−	0.884039i	0.0127261	−	0.133274i
$45$	2.03689	+	3.52799i	0.303641	+	0.525922i
$46$	0.449497	−	4.77472i	0.0662748	−	0.703994i
$47$	6.97283	+	4.02576i	1.01709	+	0.587218i	0.913260	−	0.407377i	$-0.133556\pi$
$47$	6.97283	+	4.02576i	1.01709	+	0.587218i	0.103831	+	0.994595i	$0.466890\pi$
$48$	0.909632	−	0.415415i	0.131294	−	0.0599600i
$49$	6.64253	+	2.20836i	0.948932	+	0.315480i
$50$	−7.59352	+	8.76338i	−1.07389	+	1.23933i
$51$	−0.324761	−	0.629948i	−0.0454756	−	0.0882103i
$52$	1.45793	+	0.504595i	0.202179	+	0.0699747i
$53$	−4.97476	−	6.32592i	−0.683335	−	0.868931i	0.313404	−	0.949620i	$-0.398531\pi$
$53$	−4.97476	−	6.32592i	−0.683335	−	0.868931i	−0.996739	+	0.0806884i	$0.974288\pi$
$54$	0.690079	+	0.723734i	0.0939079	+	0.0984877i
$55$	1.95591	+	3.04345i	0.263734	+	0.410378i
$56$	2.38685	+	1.14146i	0.318956	+	0.152535i
$57$	−4.11872	−	1.88096i	−0.545538	−	0.249139i
$58$	−4.58326	−	6.43628i	−0.601811	−	0.845125i
$59$	−0.313051	−	0.781965i	−0.0407558	−	0.101803i	0.906594	−	0.422005i	$-0.138674\pi$
$59$	−0.313051	−	0.781965i	−0.0407558	−	0.101803i	−0.947349	+	0.320202i	$0.896249\pi$
$60$	−1.86671	+	3.62091i	−0.240991	+	0.467458i
$61$	2.80178	−	2.67149i	0.358731	−	0.342049i	−0.489185	−	0.872180i	$-0.662706\pi$
$61$	2.80178	−	2.67149i	0.358731	−	0.342049i	0.847916	+	0.530131i	$0.177857\pi$
$62$	−4.06730	+	0.584790i	−0.516548	+	0.0742683i
$63$	−0.298022	+	2.62891i	−0.0375473	+	0.331212i
$64$	0.841254	+	0.540641i	0.105157	+	0.0675801i
$65$	−5.93928	+	2.05560i	−0.736677	+	0.254966i
$66$	0.642719	+	0.612831i	0.0791133	+	0.0754343i
$67$	3.58242	+	2.55103i	0.437663	+	0.311658i	0.777565	−	0.628803i	$-0.216455\pi$
$67$	3.58242	+	2.55103i	0.437663	+	0.311658i	−0.339902	+	0.940461i	$0.610394\pi$
$68$	0.354367	−	0.613782i	0.0429733	−	0.0744320i
$69$	3.47532	+	3.30486i	0.418380	+	0.397859i
$70$	−10.5177	+	2.35546i	−1.25710	+	0.281532i
$71$	−1.00601	−	2.20286i	−0.119392	−	0.261431i	0.840495	−	0.541819i	$-0.182264\pi$
$71$	−1.00601	−	2.20286i	−0.119392	−	0.261431i	−0.959887	+	0.280388i	$0.909537\pi$
$72$	−0.235759	+	0.971812i	−0.0277845	+	0.114529i
$73$	2.26969	−	11.7763i	0.265647	−	1.37831i	−0.566641	−	0.823964i	$-0.691758\pi$
$73$	2.26969	−	11.7763i	0.265647	−	1.37831i	0.832288	−	0.554343i	$-0.187030\pi$
$74$	−9.13220	−	0.435020i	−1.06160	−	0.0505701i
$75$	−2.19449	−	11.3861i	−0.253397	−	1.31475i
$76$	−0.644387	−	4.48181i	−0.0739162	−	0.514099i
$77$	−0.153276	+	2.34458i	−0.0174674	+	0.267190i
$78$	−1.29787	+	0.834092i	−0.146955	+	0.0944423i
$79$	−0.403591	+	0.513208i	−0.0454076	+	0.0577404i	−0.808227	−	0.588872i	$-0.799572\pi$
$79$	−0.403591	+	0.513208i	−0.0454076	+	0.0577404i	0.762819	+	0.646612i	$0.223815\pi$
$80$	−4.05533	+	0.387237i	−0.453399	+	0.0432944i
$81$	−0.995472	+	0.0950560i	−0.110608	+	0.0105618i
$82$	−0.0680737	+	0.0865627i	−0.00751748	+	0.00955925i
$83$	−4.72026	+	3.03353i	−0.518116	+	0.332973i	−0.773426	−	0.633886i	$-0.781459\pi$
$83$	−4.72026	+	3.03353i	−0.518116	+	0.332973i	0.255310	+	0.966859i	$0.417822\pi$
$84$	−2.37271	+	1.17059i	−0.258883	+	0.127721i
$85$	0.410894	+	2.85783i	0.0445677	+	0.309975i
$86$	−1.76543	−	9.15991i	−0.190371	−	0.987738i
$87$	7.89244	+	0.375963i	0.846159	+	0.0403075i
$88$	−0.168066	+	0.872011i	−0.0179159	+	0.0929567i
$89$	0.351277	−	1.44798i	0.0372352	−	0.153486i	−0.950159	−	0.311766i	$-0.899080\pi$
$89$	0.351277	−	1.44798i	0.0372352	−	0.153486i	0.987394	+	0.158280i	$0.0505948\pi$
$90$	−1.69231	−	3.70563i	−0.178385	−	0.390608i
$91$	−3.89553	−	1.21905i	−0.408363	−	0.127791i
$92$	−0.901328	+	4.71037i	−0.0939699	+	0.491090i
$93$	2.05456	−	3.55861i	0.213048	−	0.369010i
$94$	−6.55858	−	4.67034i	−0.676466	−	0.481709i
$95$	13.3497	+	12.7289i	1.36965	+	1.30596i
$96$	−0.945001	+	0.327068i	−0.0964487	+	0.0333812i
$97$	−14.7118	−	9.45473i	−1.49376	−	0.959982i	−0.995680	−	0.0928516i	$-0.970402\pi$
$97$	−14.7118	−	9.45473i	−1.49376	−	0.959982i	−0.498081	−	0.867130i	$-0.665962\pi$
$98$	−6.40253	−	2.82977i	−0.646753	−	0.285850i
$99$	−0.879021	+	0.126384i	−0.0883449	+	0.0127021i
$100$	8.39214	−	8.00189i	0.839214	−	0.800189i
$101$	3.70085	−	7.17864i	0.368248	−	0.714301i	−0.629800	−	0.776757i	$-0.716863\pi$
$101$	3.70085	−	7.17864i	0.368248	−	0.714301i	0.998048	+	0.0624562i	$0.0198934\pi$
$102$	0.263410	+	0.657966i	0.0260815	+	0.0651483i
$103$	2.98488	+	4.19168i	0.294109	+	0.413018i	0.935019	−	0.354598i	$-0.115382\pi$
$103$	2.98488	+	4.19168i	0.294109	+	0.413018i	−0.640910	+	0.767616i	$0.721443\pi$
$104$	−1.40336	−	0.640895i	−0.137611	−	0.0628450i
$105$	4.65007	−	9.72349i	0.453800	−	0.948915i
$106$	4.35091	+	6.77015i	0.422598	+	0.657575i
$107$	6.55942	+	6.87932i	0.634123	+	0.665049i	0.959882	−	0.280404i	$-0.0904684\pi$
$107$	6.55942	+	6.87932i	0.634123	+	0.665049i	−0.325759	+	0.945453i	$0.605620\pi$
$108$	−0.618159	−	0.786053i	−0.0594824	−	0.0756380i
$109$	−5.38757	−	1.86466i	−0.516036	−	0.178602i	0.0566230	−	0.998396i	$-0.481967\pi$
$109$	−5.38757	−	1.86466i	−0.516036	−	0.178602i	−0.572659	+	0.819794i	$0.694088\pi$
$110$	−1.65775	−	3.21559i	−0.158060	−	0.306594i
$111$	5.98710	−	6.90948i	0.568270	−	0.655819i
$112$	−2.26754	−	1.36318i	−0.214262	−	0.128808i
$113$	10.6831	−	4.87883i	1.00499	−	0.458961i	0.156215	−	0.987723i	$-0.450071\pi$
$113$	10.6831	−	4.87883i	1.00499	−	0.458961i	0.848770	+	0.528762i	$0.177343\pi$
$114$	3.92127	+	2.26395i	0.367261	+	0.212038i
$115$	−8.97561	−	17.3533i	−0.836980	−	1.61821i
$116$	3.95070	+	6.84281i	0.366813	+	0.635339i
$117$	0.146651	−	1.53580i	0.0135579	−	0.141985i
$118$	0.237303	+	0.808181i	0.0218456	+	0.0743991i
$119$	−0.888570	+	1.65123i	−0.0814551	+	0.151368i
$120$	2.20245	−	3.42708i	0.201055	−	0.312848i
$121$	10.0268	−	1.93251i	0.911529	−	0.175683i
$122$	−3.04303	+	2.39307i	−0.275503	+	0.216658i
$123$	−0.0259625	−	0.107019i	−0.00234096	−	0.00964958i
$124$	4.10447	−	0.195520i	0.368592	−	0.0175582i
$125$	−3.82386	+	26.5956i	−0.342017	+	2.37878i
$126$	0.546567	−	2.58868i	0.0486921	−	0.230618i
$127$	−8.84563	+	19.3692i	−0.784922	+	1.71874i	−0.0942777	+	0.995546i	$0.530054\pi$
$127$	−8.84563	+	19.3692i	−0.784922	+	1.71874i	−0.690645	+	0.723194i	$0.742673\pi$
$128$	−0.786053	−	0.618159i	−0.0694779	−	0.0546381i
$129$	8.29149	+	4.27456i	0.730025	+	0.376354i
$130$	6.10778	−	1.48173i	0.535688	−	0.129957i
$131$	7.55118	−	18.8619i	0.659750	−	1.64797i	−0.0978072	−	0.995205i	$-0.531183\pi$
$131$	7.55118	−	18.8619i	0.659750	−	1.64797i	0.757557	−	0.652769i	$-0.226393\pi$
$132$	−0.581556	−	0.671151i	−0.0506179	−	0.0584162i
$133$	2.05883	+	11.8014i	0.178524	+	1.02331i
$134$	−3.32371	−	2.88001i	−0.287125	−	0.248795i
$135$	3.95894	+	0.960428i	0.340731	+	0.0826605i
$136$	−0.411106	+	0.577318i	−0.0352521	+	0.0495046i
$137$	−0.872642	+	0.503820i	−0.0745548	+	0.0430443i	−0.536814	−	0.843701i	$-0.680372\pi$
$137$	−0.872642	+	0.503820i	−0.0745548	+	0.0430443i	0.462259	+	0.886745i	$0.347039\pi$
$138$	−3.14544	−	3.62025i	−0.267758	−	0.308176i
$139$			8.36343i			0.709377i	0.934985	+	0.354688i	$0.115413\pi$
$139$			8.36343i			0.709377i	−0.934985	+	0.354688i	$0.884587\pi$
$140$	10.6939	−	1.34503i	0.903802	−	0.113676i
$141$	7.72538	−	2.26838i	0.650595	−	0.191032i
$142$	0.792062	+	2.28851i	0.0664683	+	0.192048i
$143$	0.0651912	−	1.36853i	0.00545156	−	0.114442i
$144$	0.327068	−	0.945001i	0.0272557	−	0.0787501i
$145$	−29.8827	−	11.9632i	−2.48163	−	0.993493i
$146$	−3.37882	+	11.5072i	−0.279633	+	0.952342i
$147$	6.18213	−	3.28348i	0.509894	−	0.270817i
$148$	9.04950	+	1.30112i	0.743864	+	0.106951i
$149$	0.407074	−	0.289876i	0.0333488	−	0.0237476i	−0.563261	−	0.826279i	$-0.690453\pi$
$149$	0.407074	−	0.289876i	0.0333488	−	0.0237476i	0.596610	+	0.802531i	$0.296514\pi$
$150$	1.10223	+	11.5431i	0.0899970	+	0.942491i
$151$	−5.45672	+	2.18454i	−0.444062	+	0.177776i	−0.582908	−	0.812538i	$-0.698085\pi$
$151$	−5.45672	+	2.18454i	−0.444062	+	0.177776i	0.138846	+	0.990314i	$0.455661\pi$
$152$	0.215446	+	4.52277i	0.0174750	+	0.366845i
$153$	−0.680025	−	0.199673i	−0.0549768	−	0.0161426i
$154$	0.375448	−	2.31939i	0.0302545	−	0.186902i
$155$	−12.6510	+	10.9621i	−1.01615	+	0.880500i
$156$	1.37128	−	0.706944i	0.109790	−	0.0566008i
$157$	21.9540	+	4.23128i	1.75212	+	0.337693i	0.961539	−	0.274668i	$-0.0885679\pi$
$157$	21.9540	+	4.23128i	1.75212	+	0.337693i	0.790578	+	0.612361i	$0.209780\pi$
$158$	0.450548	−	0.472521i	0.0358436	−	0.0375917i
$159$	−8.01126	−	0.764982i	−0.635334	−	0.0606670i
$160$	4.07377			0.322060
$161$	2.01082	−	12.5282i	0.158475	−	0.987363i
$162$	1.00000			0.0785674
$163$	12.1819	+	1.16323i	0.954163	+	0.0911115i	0.560510	−	0.828148i	$-0.310605\pi$
$163$	12.1819	+	1.16323i	0.954163	+	0.0911115i	0.393653	+	0.919259i	$0.371211\pi$
$164$	0.0759937	−	0.0796999i	0.00593411	−	0.00622352i
$165$	3.55238	+	0.684664i	0.276552	+	0.0533010i
$166$	4.98724	−	2.57110i	0.387085	−	0.199556i
$167$	−3.50375	+	3.03601i	−0.271128	+	0.234934i	−0.779803	−	0.626025i	$-0.784681\pi$
$167$	−3.50375	+	3.03601i	−0.271128	+	0.234934i	0.508675	+	0.860959i	$0.330135\pi$
$168$	2.47323	−	0.939745i	0.190814	−	0.0725029i
$169$	−10.1896	−	2.99195i	−0.783819	−	0.230150i
$170$	−0.137379	−	2.88395i	−0.0105365	−	0.221189i
$171$	−4.20355	+	1.68285i	−0.321454	+	0.128691i
$172$	0.886729	+	9.28624i	0.0676124	+	0.708069i
$173$	−5.38804	+	3.83681i	−0.409645	+	0.291707i	−0.766243	−	0.642551i	$-0.777876\pi$
$173$	−5.38804	+	3.83681i	−0.409645	+	0.291707i	0.356598	+	0.934258i	$0.383937\pi$
$174$	−7.82097	−	1.12449i	−0.592906	−	0.0852470i
$175$	−21.5603	+	21.8257i	−1.62980	+	1.64987i
$176$	0.250195	−	0.852087i	0.0188592	−	0.0642285i
$177$	−0.781965	−	0.313051i	−0.0587761	−	0.0235304i
$178$	−0.487325	+	1.40803i	−0.0365266	+	0.105537i
$179$	−0.153805	+	3.22876i	−0.0114959	+	0.241329i	0.985804	+	0.167898i	$0.0536979\pi$
$179$	−0.153805	+	3.22876i	−0.0114959	+	0.241329i	−0.997300	+	0.0734311i	$0.976605\pi$
$180$	1.33240	+	3.84972i	0.0993113	+	0.286941i
$181$	21.7292	−	6.38027i	1.61512	−	0.474242i	0.655419	−	0.755265i	$-0.272492\pi$
$181$	21.7292	−	6.38027i	1.61512	−	0.474242i	0.959701	+	0.281023i	$0.0906738\pi$
$182$	3.76202	+	1.58382i	0.278859	+	0.117401i
$183$		−	3.87128i		−	0.286173i
$184$	1.34500	−	4.60337i	0.0991544	−	0.339365i
$185$	−32.2548	+	18.6223i	−2.37142	+	1.36914i
$186$	−2.38353	+	3.34719i	−0.174769	+	0.245428i
$187$	−0.611656	−	0.148386i	−0.0447287	−	0.0108511i
$188$	6.08494	+	5.27263i	0.443790	+	0.384546i
$189$	1.69697	+	2.02985i	0.123437	+	0.147650i
$190$	−12.0793	−	13.9403i	−0.876325	−	1.01133i
$191$	0.690378	−	1.72448i	0.0499540	−	0.124779i	−0.901292	−	0.433212i	$-0.857380\pi$
$191$	0.690378	−	1.72448i	0.0499540	−	0.124779i	0.951246	+	0.308433i	$0.0998045\pi$
$192$	0.971812	−	0.235759i	0.0701345	−	0.0170144i
$193$	17.9741	+	9.26627i	1.29380	+	0.667001i	0.961144	−	0.276047i	$-0.0890246\pi$
$193$	17.9741	+	9.26627i	1.29380	+	0.667001i	0.332657	+	0.943048i	$0.392055\pi$
$194$	13.7465	+	10.8104i	0.986941	+	0.776139i
$195$	−2.61086	+	5.71699i	−0.186968	+	0.409402i
$196$	6.10455	+	3.42556i	0.436039	+	0.244683i
$197$	2.79349	−	19.4291i	0.199028	−	1.38427i	−0.608086	−	0.793871i	$-0.708062\pi$
$197$	2.79349	−	19.4291i	0.199028	−	1.38427i	0.807114	−	0.590396i	$-0.201028\pi$
$198$	0.887054	−	0.0422556i	0.0630402	−	0.00300297i
$199$	−6.24514	−	25.7428i	−0.442706	−	1.82486i	−0.555853	−	0.831281i	$-0.687608\pi$
$199$	−6.24514	−	25.7428i	−0.442706	−	1.82486i	0.113147	−	0.993578i	$-0.463907\pi$
$200$	−9.11477	+	7.16794i	−0.644512	+	0.506850i
$201$	4.31842	−	0.832308i	0.304598	−	0.0587065i
$202$	−4.36646	+	6.79435i	−0.307223	+	0.478048i
$203$	−10.9894	−	17.7836i	−0.771308	−	1.24816i
$204$	−0.199673	−	0.680025i	−0.0139799	−	0.0476113i
$205$	−0.0426438	+	0.446586i	−0.00297837	+	0.0311909i
$206$	−2.57292	−	4.45643i	−0.179264	−	0.310494i
$207$	4.79009	−	0.234591i	0.332934	−	0.0163052i
$208$	1.33609	+	0.771392i	0.0926411	+	0.0534864i
$209$	−3.65767	+	1.67040i	−0.253006	+	0.115544i
$210$	−5.55329	+	9.23744i	−0.383213	+	0.637444i
$211$	−3.92063	+	4.52465i	−0.269908	+	0.311490i	−0.874481	−	0.485059i	$-0.838798\pi$
$211$	−3.92063	+	4.52465i	−0.269908	+	0.311490i	0.604574	+	0.796549i	$0.293343\pi$
$212$	−3.68767	−	7.15308i	−0.253270	−	0.491275i
$213$	−2.28851	−	0.792062i	−0.156806	−	0.0542712i
$214$	−5.87579	−	7.47168i	−0.401661	−	0.510754i
$215$	−26.2245	−	27.5034i	−1.78849	−	1.87572i
$216$	0.540641	+	0.841254i	0.0367859	+	0.0572401i
$217$	−10.8391	+	0.841912i	−0.735804	+	0.0571527i
$218$	5.18593	+	2.36833i	0.351235	+	0.160404i
$219$	−6.95662	−	9.76920i	−0.470085	−	0.660142i
$220$	1.34458	+	3.35861i	0.0906518	+	0.226437i
$221$	0.501035	−	0.971873i	0.0337033	−	0.0653753i
$222$	−6.61678	+	6.30908i	−0.444089	+	0.423438i
$223$	1.89766	−	0.272842i	0.127077	−	0.0182708i	−0.0784831	−	0.996915i	$-0.525008\pi$
$223$	1.89766	−	0.272842i	0.127077	−	0.0182708i	0.205560	+	0.978645i	$0.434099\pi$
$224$	2.12769	+	1.57255i	0.142163	+	0.105071i
$225$	−9.75486	−	6.26906i	−0.650324	−	0.417938i
$226$	−11.0985	+	3.84124i	−0.738263	+	0.255515i
$227$	11.9962	+	11.4384i	0.796218	+	0.759193i	0.974404	−	0.224804i	$-0.0721743\pi$
$227$	11.9962	+	11.4384i	0.796218	+	0.759193i	−0.178186	+	0.983997i	$0.557023\pi$
$228$	−3.68831	−	2.62644i	−0.244265	−	0.173940i
$229$	−14.9746	+	25.9367i	−0.989547	+	1.71394i	−0.369880	+	0.929079i	$0.620601\pi$
$229$	−14.9746	+	25.9367i	−0.989547	+	1.71394i	−0.619666	+	0.784865i	$0.712732\pi$
$230$	7.28543	+	18.1279i	0.480387	+	1.19532i
$231$	1.59108	+	1.72888i	0.104685	+	0.113752i
$232$	−3.28236	−	7.18736i	−0.215497	−	0.471873i
$233$	−2.61245	+	10.7687i	−0.171147	+	0.705479i	0.819961	+	0.572420i	$0.193995\pi$
$233$	−2.61245	+	10.7687i	−0.171147	+	0.705479i	−0.991108	+	0.133059i	$0.957520\pi$
$234$	−0.291974	+	1.51490i	−0.0190869	+	0.0990323i
$235$	−32.7629	−	1.56069i	−2.13722	−	0.101808i
$236$	−0.159406	−	0.827079i	−0.0103765	−	0.0538383i
$237$	0.0929163	+	0.646247i	0.00603556	+	0.0419783i
$238$	1.04151	−	1.55929i	0.0675108	−	0.101074i
$239$	14.9213	−	9.58932i	0.965177	−	0.620281i	0.0397506	−	0.999210i	$-0.487344\pi$
$239$	14.9213	−	9.58932i	0.965177	−	0.620281i	0.925426	+	0.378928i	$0.123707\pi$
$240$	−2.51824	+	3.20220i	−0.162552	+	0.206701i
$241$	−7.55177	+	0.721106i	−0.486452	+	0.0464505i	−0.335401	−	0.942075i	$-0.608872\pi$
$241$	−7.55177	+	0.721106i	−0.486452	+	0.0464505i	−0.151051	+	0.988526i	$0.548266\pi$
$242$	−10.1651	+	0.970651i	−0.653438	+	0.0623958i
$243$	−0.618159	+	0.786053i	−0.0396549	+	0.0504253i
$244$	3.25673	−	2.09297i	0.208491	−	0.133989i
$245$	−28.1744	+	4.40339i	−1.79999	+	0.281322i
$246$	0.0156722	+	0.109002i	0.000999221	+	0.00694973i
$247$	−1.32203	−	6.85932i	−0.0841185	−	0.436448i
$248$	−4.10447	−	0.195520i	−0.260634	−	0.0124155i
$249$	−1.06189	+	5.50959i	−0.0672943	+	0.349156i
$250$	6.33462	−	26.1117i	0.400636	−	1.65145i
$251$	−4.99458	−	10.9366i	−0.315255	−	0.690312i	0.683977	−	0.729504i	$-0.260249\pi$
$251$	−4.99458	−	10.9366i	−0.315255	−	0.690312i	−0.999232	+	0.0391916i	$0.987522\pi$
$252$	−0.790162	+	2.52500i	−0.0497755	+	0.159060i
$253$	4.23916	−	0.410503i	0.266513	−	0.0258081i
$254$	10.6467	−	18.4407i	0.668035	−	1.15707i
$255$	2.35186	+	1.67475i	0.147279	+	0.104877i
$256$	0.723734	+	0.690079i	0.0452334	+	0.0431299i
$257$	−24.2257	+	8.38460i	−1.51116	+	0.523017i	−0.952014	−	0.306054i	$-0.900991\pi$
$257$	−24.2257	+	8.38460i	−1.51116	+	0.523017i	−0.559144	+	0.829071i	$0.688870\pi$
$258$	−7.84762	−	5.04336i	−0.488572	−	0.313986i
$259$	−24.0350	−	2.72469i	−1.49346	−	0.169304i
$260$	−6.22098	+	0.894441i	−0.385809	+	0.0554709i
$261$	5.71851	−	5.45258i	0.353967	−	0.337506i
$262$	−9.30993	+	18.0587i	−0.575169	+	1.11567i
$263$	9.21866	+	23.0271i	0.568447	+	1.41991i	0.882412	+	0.470478i	$0.155918\pi$
$263$	9.21866	+	23.0271i	0.568447	+	1.41991i	−0.313965	+	0.949435i	$0.601657\pi$
$264$	0.515125	+	0.723392i	0.0317038	+	0.0445217i
$265$	29.8218	+	13.6192i	1.83194	+	0.836619i
$266$	−0.927713	−	11.9437i	−0.0568817	−	0.732316i
$267$	−0.805545	−	1.25345i	−0.0492986	−	0.0767101i
$268$	3.03490	+	3.18291i	0.185386	+	0.194427i
$269$	4.42299	+	5.62429i	0.269675	+	0.342919i	0.901962	−	0.431814i	$-0.142126\pi$
$269$	4.42299	+	5.62429i	0.269675	+	0.342919i	−0.632288	+	0.774733i	$0.717884\pi$
$270$	−3.84972	−	1.33240i	−0.234286	−	0.0810873i
$271$	7.73575	+	15.0053i	0.469913	+	0.911504i	0.998054	+	0.0623479i	$0.0198588\pi$
$271$	7.73575	+	15.0053i	0.469913	+	0.911504i	−0.528141	+	0.849156i	$0.677111\pi$
$272$	0.464122	−	0.535625i	0.0281415	−	0.0324771i
$273$	−3.57049	+	1.97809i	−0.216096	+	0.119719i
$274$	0.916582	−	0.418589i	0.0553727	−	0.0252879i
$275$	−8.91799	−	5.14880i	−0.537775	−	0.310484i
$276$	2.78707	+	3.90285i	0.167762	+	0.234924i
$277$	−4.98260	−	8.63011i	−0.299375	−	0.518533i	0.676618	−	0.736334i	$-0.263445\pi$
$277$	−4.98260	−	8.63011i	−0.299375	−	0.518533i	−0.975993	+	0.217801i	$0.930112\pi$
$278$	0.794995	−	8.32556i	0.0476806	−	0.499334i
$279$	−1.15767	−	3.94268i	−0.0693082	−	0.236042i
$280$	−10.7734	+	0.322416i	−0.643832	+	0.0192680i
$281$	12.3255	−	19.1789i	0.735278	−	1.14412i	−0.249173	−	0.968459i	$-0.580159\pi$
$281$	12.3255	−	19.1789i	0.735278	−	1.14412i	0.984452	−	0.175656i	$-0.0562047\pi$
$282$	−7.90603	+	1.52376i	−0.470797	+	0.0907387i
$283$	−21.6903	+	17.0575i	−1.28936	+	1.01396i	−0.290995	+	0.956724i	$0.593986\pi$
$283$	−21.6903	+	17.0575i	−1.28936	+	1.01396i	−0.998361	+	0.0572364i	$0.981771\pi$
$284$	−0.570938	−	2.35344i	−0.0338790	−	0.139651i
$285$	18.4247	−	0.877678i	1.09139	−	0.0519891i
$286$	−0.194983	+	1.35614i	−0.0115296	+	0.0801901i
$287$	−0.194663	+	0.216786i	−0.0114906	+	0.0127965i
$288$	−0.415415	+	0.909632i	−0.0244786	+	0.0536006i
$289$	12.9681	+	10.1982i	0.762827	+	0.599894i
$290$	28.6102	+	14.7496i	1.68005	+	0.866127i
$291$	−16.9950	+	4.12295i	−0.996267	+	0.241692i
$292$	4.45734	−	11.1339i	0.260846	−	0.651563i
$293$	0.360196	+	0.415688i	0.0210429	+	0.0242848i	0.766173	−	0.642634i	$-0.222158\pi$
$293$	0.360196	+	0.415688i	0.0210429	+	0.0242848i	−0.745131	+	0.666919i	$0.767613\pi$
$294$	−6.46625	+	2.68096i	−0.377120	+	0.156357i
$295$	2.59323	+	2.24705i	0.150984	+	0.130828i
$296$	−8.88484	−	2.15544i	−0.516421	−	0.125282i
$297$	−0.515125	+	0.723392i	−0.0298906	+	0.0419755i
$298$	−0.432785	+	0.249869i	−0.0250706	+	0.0144745i
$299$	−1.04320	+	7.32502i	−0.0603296	+	0.423617i
$300$		−	11.5956i		−	0.669473i
$301$	−3.07997	−	24.4879i	−0.177526	−	1.41146i
$302$	5.63967	−	1.65596i	0.324526	−	0.0952896i
$303$	−2.64155	−	7.63226i	−0.151753	−	0.438462i
$304$	0.215446	−	4.52277i	0.0123567	−	0.259398i
$305$	−5.15809	+	14.9033i	−0.295352	+	0.853362i
$306$	0.657966	+	0.263410i	0.0376134	+	0.0150581i
$307$	−5.56372	+	18.9483i	−0.317538	+	1.08144i	0.633853	+	0.773453i	$0.281472\pi$
$307$	−5.56372	+	18.9483i	−0.317538	+	1.08144i	−0.951392	+	0.307983i	$0.900346\pi$
$308$	−0.594221	+	2.27320i	−0.0338589	+	0.129528i
$309$	5.09346	+	0.732329i	0.289757	+	0.0416608i
$310$	13.6357	−	9.70994i	0.774456	−	0.551488i
$311$	−1.10760	−	11.5993i	−0.0628061	−	0.657735i	−0.970983	−	0.239148i	$-0.923132\pi$
$311$	−1.10760	−	11.5993i	−0.0628061	−	0.657735i	0.908177	−	0.418586i	$-0.137474\pi$
$312$	−1.43227	+	0.573395i	−0.0810863	+	0.0324621i
$313$	−0.606726	−	12.7368i	−0.0342942	−	0.719924i	−0.948900	−	0.315577i	$-0.897802\pi$
$313$	−0.606726	−	12.7368i	−0.0342942	−	0.719924i	0.914606	−	0.404347i	$-0.132501\pi$
$314$	−21.4524	−	6.29898i	−1.21063	−	0.355472i
$315$	−3.82831	−	10.0754i	−0.215701	−	0.567684i
$316$	−0.493423	+	0.427554i	−0.0277572	+	0.0240518i
$317$	18.4851	−	9.52974i	1.03823	−	0.535244i	0.147159	−	0.989113i	$-0.452987\pi$
$317$	18.4851	−	9.52974i	1.03823	−	0.535244i	0.891068	+	0.453869i	$0.149957\pi$
$318$	7.90226	+	1.52304i	0.443137	+	0.0854076i
$319$	4.84222	−	5.07838i	0.271112	−	0.284334i
$320$	−4.05533	−	0.387237i	−0.226700	−	0.0216472i
$321$	9.50531			0.530535
$322$	−3.19260	+	12.2804i	−0.177917	+	0.684358i
$323$	−3.20907			−0.178558
$324$	−0.995472	−	0.0950560i	−0.0553040	−	0.00528089i
$325$	12.3452	−	12.9473i	0.684788	−	0.718185i
$326$	−12.0162	−	2.31593i	−0.665516	−	0.128268i
$327$	−5.06736	+	2.61241i	−0.280226	+	0.144466i
$328$	−0.0832256	+	0.0721154i	−0.00459536	+	0.00398191i
$329$	−16.5093	−	13.4622i	−0.910189	−	0.742197i
$330$	−3.47121	−	1.01924i	−0.191084	−	0.0561073i
$331$	−0.622791	−	13.0740i	−0.0342317	−	0.718611i	−0.949122	−	0.314909i	$-0.898026\pi$
$331$	−0.622791	−	13.0740i	−0.0342317	−	0.718611i	0.914890	−	0.403702i	$-0.132277\pi$
$332$	−5.20906	+	2.08539i	−0.285884	+	0.114451i
$333$	−0.869055	−	9.10115i	−0.0476239	−	0.498740i
$334$	3.77647	−	2.68921i	0.206639	−	0.147147i
$335$	−17.7337	−	2.54972i	−0.968894	−	0.139306i
$336$	−2.55136	+	0.700394i	−0.139188	+	0.0382096i
$337$	−2.94977	+	10.0460i	−0.160684	+	0.547240i	0.839310	+	0.543654i	$0.182960\pi$
$337$	−2.94977	+	10.0460i	−0.160684	+	0.547240i	−0.999994	+	0.00358576i	$0.998859\pi$
$338$	9.85910	+	3.94699i	0.536264	+	0.214688i
$339$	3.84124	−	11.0985i	0.208627	−	0.602789i
$340$	−0.137379	+	2.88395i	−0.00745045	+	0.156404i
$341$	−1.19352	−	3.44845i	−0.0646327	−	0.186744i
$342$	4.34448	−	1.27566i	0.234923	−	0.0689795i
$343$	−16.4150	−	8.57598i	−0.886327	−	0.463060i
$344$		−	9.32848i		−	0.502958i
$345$	−18.7531	−	5.47921i	−1.00963	−	0.294991i
$346$	5.72836	−	3.30727i	0.307959	−	0.177800i
$347$	−0.897614	+	1.26052i	−0.0481864	+	0.0676684i	−0.837966	−	0.545722i	$-0.816255\pi$
$347$	−0.897614	+	1.26052i	−0.0481864	+	0.0676684i	0.789780	+	0.613391i	$0.210195\pi$
$348$	7.67866	+	1.86282i	0.411620	+	0.0998578i
$349$	24.2454	+	21.0088i	1.29783	+	1.12457i	0.984586	+	0.174899i	$0.0559600\pi$
$349$	24.2454	+	21.0088i	1.29783	+	1.12457i	0.313240	+	0.949674i	$0.398585\pi$
$350$	23.5373	−	19.6775i	1.25812	−	1.05181i
$351$	−1.01031	−	1.16596i	−0.0539263	−	0.0622342i
$352$	−0.330059	+	0.824446i	−0.0175922	+	0.0439431i
$353$	5.37733	−	1.30453i	0.286207	−	0.0694330i	−0.0900856	−	0.995934i	$-0.528714\pi$
$353$	5.37733	−	1.30453i	0.286207	−	0.0694330i	0.376292	+	0.926501i	$0.377199\pi$
$354$	0.748667	+	0.385964i	0.0397912	+	0.0205138i
$355$	7.75478	+	6.09843i	0.411581	+	0.323671i
$356$	0.618961	−	1.35534i	0.0328049	−	0.0718326i
$357$	0.581870	+	1.78257i	0.0307958	+	0.0943436i
$358$	0.460022	−	3.19952i	0.0243129	−	0.169100i
$359$	−8.44469	+	0.402270i	−0.445694	+	0.0212310i	−0.269229	−	0.963076i	$-0.586769\pi$
$359$	−8.44469	+	0.402270i	−0.445694	+	0.0212310i	−0.176464	+	0.984307i	$0.556466\pi$
$360$	−0.960428	−	3.95894i	−0.0506190	−	0.208654i
$361$	−1.18052	+	0.928370i	−0.0621325	+	0.0488616i
$362$	−22.2373	+	4.28589i	−1.16877	+	0.225261i
$363$	5.52067	−	8.59033i	0.289760	−	0.450876i
$364$	−3.59443	−	1.93425i	−0.188399	−	0.101382i
$365$	13.7645	+	46.8777i	0.720468	+	2.45369i
$366$	−0.367989	+	3.85375i	−0.0192351	+	0.201439i
$367$	−0.184297	−	0.319211i	−0.00962020	−	0.0166627i	0.861175	−	0.508308i	$-0.169729\pi$
$367$	−0.184297	−	0.319211i	−0.00962020	−	0.0166627i	−0.870795	+	0.491646i	$0.836396\pi$
$368$	−1.77648	+	4.45467i	−0.0926056	+	0.232216i
$369$	−0.0953695	−	0.0550616i	−0.00496474	−	0.00286639i
$370$	33.8790	−	15.4720i	1.76128	−	0.804351i
$371$	10.3184	+	18.6249i	0.535705	+	0.966959i
$372$	2.69091	−	3.10547i	0.139517	−	0.161011i
$373$	8.98293	+	17.4245i	0.465119	+	0.902204i	0.998415	+	0.0562759i	$0.0179226\pi$
$373$	8.98293	+	17.4245i	0.465119	+	0.902204i	−0.533297	+	0.845928i	$0.679047\pi$
$374$	0.594782	+	0.205856i	0.0307554	+	0.0106446i
$375$	16.6093	+	21.1205i	0.857703	+	1.09066i
$376$	−5.55619	−	5.82716i	−0.286539	−	0.300513i
$377$	6.59048	+	10.2550i	0.339427	+	0.528159i
$378$	−1.49634	−	2.18196i	−0.0769635	−	0.112228i
$379$	−22.9107	−	10.4629i	−1.17684	−	0.537445i	−0.271628	−	0.962402i	$-0.587562\pi$
$379$	−22.9107	−	10.4629i	−1.17684	−	0.537445i	−0.905213	+	0.424957i	$0.860289\pi$
$380$	10.6995	+	15.0254i	0.548873	+	0.770784i
$381$	7.91398	+	19.7682i	0.405446	+	1.01275i
$382$	−0.851174	+	1.65105i	−0.0435499	+	0.0844750i
$383$	11.5395	−	11.0029i	0.589640	−	0.562221i	−0.335407	−	0.942073i	$-0.608874\pi$
$383$	11.5395	−	11.0029i	0.589640	−	0.562221i	0.925047	+	0.379853i	$0.124025\pi$
$384$	−0.989821	+	0.142315i	−0.0505116	+	0.00726247i
$385$	−3.82166	−	8.77564i	−0.194770	−	0.447248i
$386$	−17.0119	−	10.9329i	−0.865881	−	0.556468i
$387$	8.81543	−	3.05105i	0.448113	−	0.155094i
$388$	−12.6567	−	12.0681i	−0.642545	−	0.612665i
$389$	22.1821	+	15.7958i	1.12468	+	0.800880i	0.981999	−	0.188889i	$-0.0604885\pi$
$389$	22.1821	+	15.7958i	1.12468	+	0.800880i	0.142680	+	0.989769i	$0.454428\pi$
$390$	3.14247	−	5.44292i	0.159125	−	0.275613i
$391$	3.21351	+	1.10740i	0.162514	+	0.0560038i
$392$	−5.75129	−	3.99032i	−0.290484	−	0.201542i
$393$	−8.44011	−	18.4813i	−0.425747	−	0.932257i
$394$	−4.62769	+	19.0756i	−0.233140	+	0.961015i
$395$	0.503358	−	2.61167i	0.0253267	−	0.131407i
$396$	−0.887054	−	0.0422556i	−0.0445761	−	0.00212342i
$397$	2.21162	+	11.4750i	0.110998	+	0.575912i	0.994256	+	0.107025i	$0.0341326\pi$
$397$	2.21162	+	11.4750i	0.110998	+	0.575912i	−0.883258	+	0.468887i	$0.844655\pi$
$398$	3.76985	+	26.2199i	0.188965	+	1.31428i
$399$	9.96186	+	6.65388i	0.498717	+	0.333111i
$400$	9.75486	−	6.26906i	0.487743	−	0.313453i
$401$	−7.58206	+	9.64138i	−0.378630	+	0.481467i	−0.937598	−	0.347722i	$-0.886955\pi$
$401$	−7.58206	+	9.64138i	−0.378630	+	0.481467i	0.558967	+	0.829190i	$0.311198\pi$
$402$	−4.37798	+	0.418047i	−0.218354	+	0.0208503i
$403$	6.31078	−	0.602607i	0.314363	−	0.0300180i
$404$	4.99253	−	6.34852i	0.248388	−	0.315851i
$405$	3.42708	−	2.20245i	0.170293	−	0.109440i
$406$	9.24925	+	18.7477i	0.459033	+	0.930431i
$407$	−1.15547	−	8.03649i	−0.0572747	−	0.398354i
$408$	0.134129	+	0.695926i	0.00664036	+	0.0344535i
$409$	30.2978	+	1.44326i	1.49813	+	0.0713647i	0.780542	−	0.625104i	$-0.214943\pi$
$409$	30.2978	+	1.44326i	1.49813	+	0.0713647i	0.717587	+	0.696468i	$0.245246\pi$
$410$	0.0849013	−	0.440510i	0.00419298	−	0.0217552i
$411$	−0.237560	+	0.979236i	−0.0117180	+	0.0483022i
$412$	2.13766	+	4.68082i	0.105315	+	0.230607i
$413$	0.487020	+	2.17465i	0.0239647	+	0.107008i
$414$	−4.79070	−	0.221798i	−0.235450	−	0.0109008i
$415$	11.4289	−	19.7955i	0.561025	−	0.971723i
$416$	−1.25671	−	0.894902i	−0.0616155	−	0.0438762i
$417$	6.05290	+	5.77143i	0.296412	+	0.282628i
$418$	3.79989	−	1.31515i	0.185859	−	0.0643263i
$419$	9.10570	+	5.85188i	0.444843	+	0.285883i	0.743824	−	0.668376i	$-0.233010\pi$
$419$	9.10570	+	5.85188i	0.444843	+	0.285883i	−0.298981	+	0.954259i	$0.596647\pi$
$420$	6.40622	−	8.66774i	0.312591	−	0.422942i
$421$	16.1455	−	2.32137i	0.786883	−	0.113137i	0.262852	−	0.964836i	$-0.415337\pi$
$421$	16.1455	−	2.32137i	0.786883	−	0.113137i	0.524031	+	0.851699i	$0.324428\pi$
$422$	4.33298	−	4.13148i	0.210926	−	0.201118i
$423$	3.68942	−	7.15648i	0.179386	−	0.347960i
$424$	2.99103	+	7.47122i	0.145257	+	0.362835i
$425$	−4.76703	−	6.69436i	−0.231235	−	0.324724i
$426$	2.20286	+	1.00601i	0.106729	+	0.0487414i
$427$	−8.44699	+	5.79276i	−0.408778	+	0.280331i
$428$	5.13896	+	7.99638i	0.248401	+	0.386520i
$429$	−0.945466	−	0.991576i	−0.0456475	−	0.0478738i
$430$	23.4914	+	29.8717i	1.13285	+	1.44054i
$431$	−20.1255	−	6.96549i	−0.969409	−	0.335516i	−0.203936	−	0.978984i	$-0.565374\pi$
$431$	−20.1255	−	6.96549i	−0.969409	−	0.335516i	−0.765473	+	0.643468i	$0.777495\pi$
$432$	−0.458227	−	0.888835i	−0.0220464	−	0.0427641i
$433$	−2.86217	+	3.30312i	−0.137547	+	0.158738i	−0.820344	−	0.571871i	$-0.806218\pi$
$433$	−2.86217	+	3.30312i	−0.137547	+	0.158738i	0.682797	+	0.730608i	$0.260763\pi$
$434$	10.8700	+	0.192220i	0.521778	+	0.00922687i
$435$	−29.2797	+	13.3716i	−1.40385	+	0.641118i
$436$	−4.93732	−	2.85056i	−0.236455	−	0.136517i
$437$	20.5112	−	7.12968i	0.981184	−	0.341059i
$438$	5.99650	+	10.3862i	0.286524	+	0.496274i
$439$	0.346475	−	3.62845i	0.0165364	−	0.173177i	−0.983431	−	0.181284i	$-0.941975\pi$
$439$	0.346475	−	3.62845i	0.0165364	−	0.173177i	0.999967	+	0.00810748i	$0.00258072\pi$
$440$	−1.01924	−	3.47121i	−0.0485903	−	0.165483i
$441$	1.88980	−	6.74008i	0.0899903	−	0.320956i
$442$	−0.591149	+	0.919846i	−0.0281181	+	0.0437526i
$443$	29.5786	−	5.70080i	1.40532	−	0.270853i	0.570464	−	0.821322i	$-0.306763\pi$
$443$	29.5786	−	5.70080i	1.40532	−	0.270853i	0.834855	+	0.550469i	$0.185551\pi$
$444$	7.18653	−	5.65155i	0.341058	−	0.268211i
$445$	1.43102	+	5.89875i	0.0678369	+	0.279627i
$446$	−1.91500	+	0.0912227i	−0.0906779	+	0.00431952i
$447$	0.0711201	−	0.494651i	0.00336386	−	0.0233962i
$448$	−1.96858	−	1.76768i	−0.0930066	−	0.0835151i
$449$	6.21662	−	13.6125i	0.293381	−	0.642414i	−0.704342	−	0.709860i	$-0.748758\pi$
$449$	6.21662	−	13.6125i	0.293381	−	0.642414i	0.997723	+	0.0674467i	$0.0214852\pi$
$450$	9.11477	+	7.16794i	0.429674	+	0.337900i
$451$	−0.0869246	−	0.0448127i	−0.00409312	−	0.00211015i
$452$	11.4134	−	2.76886i	0.536841	−	0.130236i
$453$	−2.18454	+	5.45672i	−0.102639	+	0.256379i
$454$	−10.8546	−	12.5269i	−0.509433	−	0.587917i
$455$	16.3810	−	2.85777i	0.767953	−	0.133974i
$456$	3.42195	+	2.96514i	0.160248	+	0.138855i
$457$	14.9011	+	3.61496i	0.697042	+	0.169101i	0.568597	−	0.822616i	$-0.307486\pi$
$457$	14.9011	+	3.61496i	0.697042	+	0.169101i	0.128445	+	0.991717i	$0.459001\pi$
$458$	17.3722	−	24.3958i	0.811749	−	1.13994i
$459$	−0.613782	+	0.354367i	−0.0286489	+	0.0165404i
$460$	−5.52927	−	18.7384i	−0.257804	−	0.873681i
$461$		−	35.9152i		−	1.67274i	−0.548166	−	0.836369i	$-0.684674\pi$
$461$		−	35.9152i		−	1.67274i	0.548166	−	0.836369i	$-0.315326\pi$
$462$	−1.41954	−	1.87229i	−0.0660428	−	0.0871068i
$463$	20.4505	−	6.00480i	0.950414	−	0.279067i	0.230455	−	0.973083i	$-0.425979\pi$
$463$	20.4505	−	6.00480i	0.950414	−	0.279067i	0.719959	+	0.694016i	$0.244160\pi$
$464$	2.58429	+	7.46682i	0.119973	+	0.346638i
$465$	−0.796504	+	16.7207i	−0.0369370	+	0.775403i
$466$	3.62425	−	10.4716i	0.167890	−	0.485086i
$467$	−8.48329	−	3.39620i	−0.392560	−	0.157157i	0.166981	−	0.985960i	$-0.446598\pi$
$467$	−8.48329	−	3.39620i	−0.392560	−	0.157157i	−0.559541	+	0.828803i	$0.689022\pi$
$468$	0.434652	−	1.48029i	0.0200918	−	0.0684264i
$469$	−8.27790	−	8.17722i	−0.382238	−	0.377589i
$470$	32.4662	+	4.66794i	1.49756	+	0.215316i
$471$	18.2123	−	12.9689i	0.839178	−	0.597576i
$472$	0.0800658	+	0.838486i	0.00368532	+	0.0385945i
$473$	7.69083	−	3.07895i	0.353625	−	0.141570i
$474$	−0.0310659	−	0.652153i	−0.00142690	−	0.0299544i
$475$	−50.3770	−	14.7920i	−2.31145	−	0.678704i
$476$	−1.18501	+	1.45323i	−0.0543149	+	0.0666087i
$477$	−6.08204	+	5.27012i	−0.278478	+	0.241302i
$478$	−15.7652	+	8.12754i	−0.721085	+	0.371745i
$479$	−32.3697	−	6.23876i	−1.47901	−	0.285056i	−0.614999	−	0.788528i	$-0.710844\pi$
$479$	−32.3697	−	6.23876i	−1.47901	−	0.285056i	−0.864012	+	0.503472i	$0.832056\pi$
$480$	2.81122	−	2.94833i	0.128314	−	0.134572i
$481$	14.0411	+	1.34076i	0.640219	+	0.0611335i
$482$	7.58612			0.345538
$483$	−7.67948	−	10.1008i	−0.349428	−	0.459601i
$484$	10.2113			0.464152
$485$	70.9195	+	6.77199i	3.22029	+	0.307500i
$486$	0.690079	−	0.723734i	0.0313026	−	0.0328292i
$487$	−25.3813	−	4.89184i	−1.15014	−	0.221670i	−0.421668	−	0.906750i	$-0.638555\pi$
$487$	−25.3813	−	4.89184i	−1.15014	−	0.221670i	−0.728468	+	0.685080i	$0.759767\pi$
$488$	−3.44093	+	1.77392i	−0.155764	+	0.0803017i
$489$	9.24837	−	8.01376i	0.418226	−	0.362395i
$490$	28.4654	−	1.70530i	1.28593	−	0.0770377i
$491$	25.4698	+	7.47860i	1.14944	+	0.337505i	0.800319	−	0.599575i	$-0.204664\pi$
$491$	25.4698	+	7.47860i	1.14944	+	0.337505i	0.349117	+	0.937079i	$0.386482\pi$
$492$	−0.00523987	−	0.109998i	−0.000236232	−	0.00495912i
$493$	5.19885	−	2.08130i	0.234144	−	0.0937372i
$494$	0.664020	+	6.95393i	0.0298757	+	0.312872i
$495$	2.94693	−	2.09850i	0.132455	−	0.0943207i
$496$	4.06730	+	0.584790i	0.182627	+	0.0262578i
$497$	1.69615	+	6.17864i	0.0760826	+	0.277150i
$498$	1.58080	−	5.38370i	0.0708372	−	0.241249i
$499$	−7.79517	−	3.12071i	−0.348960	−	0.139702i	0.190560	−	0.981676i	$-0.438970\pi$
$499$	−7.79517	−	3.12071i	−0.348960	−	0.139702i	−0.539519	+	0.841973i	$0.681394\pi$
$500$	−8.78800	+	25.3913i	−0.393012	+	1.13553i
$501$	−0.220595	+	4.63087i	−0.00985548	+	0.206892i
$502$	3.93237	+	11.3618i	0.175510	+	0.507104i
$503$	−18.6321	+	5.47087i	−0.830764	+	0.243934i	−0.669345	−	0.742952i	$-0.733425\pi$
$503$	−18.6321	+	5.47087i	−0.830764	+	0.243934i	−0.161419	+	0.986886i	$0.551607\pi$
$504$	1.02660	−	2.43846i	0.0457284	−	0.108618i
$505$			32.9016i			1.46410i
$506$	−4.25898	+	0.00568711i	−0.189335	+	0.000252823i
$507$	−9.19703	+	5.30991i	−0.408455	+	0.235821i
$508$	−12.3514	+	17.3451i	−0.548006	+	0.769566i
$509$	−18.6654	−	4.52818i	−0.827329	−	0.200708i	−0.200331	−	0.979728i	$-0.564202\pi$
$509$	−18.6654	−	4.52818i	−0.827329	−	0.200708i	−0.626999	+	0.779020i	$0.715717\pi$
$510$	−2.18202	−	1.89073i	−0.0966213	−	0.0837228i
$511$	−10.9066	+	29.7971i	−0.482478	+	1.31815i
$512$	−0.654861	−	0.755750i	−0.0289410	−	0.0333997i
$513$	−1.68285	+	4.20355i	−0.0742996	+	0.185591i
$514$	24.9130	−	6.04383i	1.09887	−	0.266582i
$515$	−18.6326	−	9.60579i	−0.821052	−	0.423282i
$516$	7.33268	+	5.76649i	0.322803	+	0.253855i
$517$	2.97032	−	6.50409i	0.130634	−	0.286049i
$518$	23.6671	+	4.99702i	1.03987	+	0.219556i
$519$	−0.941347	+	6.54721i	−0.0413206	+	0.287391i
$520$	6.27783	−	0.299050i	0.275301	−	0.0131142i
$521$	−3.46452	−	14.2809i	−0.151783	−	0.625659i	−0.995976	−	0.0896195i	$-0.971435\pi$
$521$	−3.46452	−	14.2809i	−0.151783	−	0.625659i	0.844193	−	0.536040i	$-0.180080\pi$
$522$	−6.21091	+	4.88432i	−0.271844	+	0.213781i
$523$	25.3538	−	4.88653i	1.10864	−	0.213673i	0.398110	−	0.917338i	$-0.369666\pi$
$523$	25.3538	−	4.88653i	1.10864	−	0.213673i	0.710532	+	0.703665i	$0.248454\pi$
$524$	10.9844	−	17.0920i	0.479854	−	0.746668i
$525$	0.917728	+	30.6654i	0.0400529	+	1.33835i
$526$	−6.98806	−	23.7991i	−0.304694	−	1.03769i
$527$	0.276830	−	2.89909i	0.0120589	−	0.126286i
$528$	−0.444030	−	0.769082i	−0.0193239	−	0.0334700i
$529$	−22.9999	+	0.0614247i	−0.999996	+	0.00267064i
$530$	−28.3922	−	16.3922i	−1.23328	−	0.712033i
$531$	−0.766183	+	0.349904i	−0.0332495	+	0.0151846i
$532$	−0.211810	+	11.9778i	−0.00918312	+	0.519304i
$533$	0.111258	−	0.128399i	0.00481914	−	0.00556158i
$534$	0.682749	+	1.32435i	0.0295455	+	0.0573102i
$535$	−36.5928	−	12.6649i	−1.58204	−	0.547551i
$536$	−2.71860	−	3.45698i	−0.117426	−	0.149319i
$537$	2.23063	+	2.33942i	0.0962587	+	0.100953i
$538$	−3.86834	−	6.01926i	−0.166776	−	0.259509i
$539$	1.39155	−	6.05867i	0.0599381	−	0.260965i
$540$	3.70563	+	1.69231i	0.159465	+	0.0728253i
$541$	10.6733	+	14.9886i	0.458882	+	0.644410i	0.977584	−	0.210545i	$-0.0675239\pi$
$541$	10.6733	+	14.9886i	0.458882	+	0.644410i	−0.518702	+	0.854955i	$0.673584\pi$
$542$	−6.27438	−	15.6726i	−0.269508	−	0.673198i
$543$	10.3773	−	20.1291i	0.445331	−	0.863821i
$544$	−0.512935	+	0.489082i	−0.0219919	+	0.0209692i
$545$	22.9887	−	3.30528i	0.984727	−	0.141582i
$546$	3.74235	−	1.62974i	0.160158	−	0.0697463i
$547$	23.9957	+	15.4211i	1.02598	+	0.659359i	0.941482	−	0.337064i	$-0.109434\pi$
$547$	23.9957	+	15.4211i	1.02598	+	0.659359i	0.0845009	+	0.996423i	$0.473070\pi$
$548$	−0.952221	+	0.329567i	−0.0406769	+	0.0140784i
$549$	−2.80178	−	2.67149i	−0.119577	−	0.114016i
$550$	8.38818	+	5.97320i	0.357673	+	0.254698i
$551$	17.8883	−	30.9835i	0.762069	−	1.31994i
$552$	−2.40346	−	4.15011i	−0.102298	−	0.176640i
$553$	1.27105	−	1.16975i	0.0540507	−	0.0497427i
$554$	4.13969	+	9.06466i	0.175879	+	0.385120i
$555$	−8.78077	+	36.1948i	−0.372723	+	1.53638i
$556$	−1.58279	+	8.21229i	−0.0671252	+	0.348279i
$557$	3.25099	+	0.154864i	0.137749	+	0.00656178i	0.116343	−	0.993209i	$-0.462883\pi$
$557$	3.25099	+	0.154864i	0.137749	+	0.00656178i	0.0214057	+	0.999771i	$0.493186\pi$
$558$	0.777657	+	4.03487i	0.0329209	+	0.170810i
$559$	2.04817	+	14.2453i	0.0866284	+	0.602514i
$560$	10.7552	+	0.703117i	0.454491	+	0.0297121i
$561$	−0.529483	+	0.340278i	−0.0223548	+	0.0143666i
$562$	−14.0928	+	17.9204i	−0.594467	+	0.755927i
$563$	21.9335	−	2.09440i	0.924387	−	0.0882682i	0.378004	−	0.925804i	$-0.376610\pi$
$563$	21.9335	−	2.09440i	0.924387	−	0.0882682i	0.546383	+	0.837536i	$0.316004\pi$
$564$	8.01507	−	0.765346i	0.337495	−	0.0322269i
$565$	−29.5754	+	37.6081i	−1.24424	+	1.58219i
$566$	23.2135	−	14.9184i	0.975737	−	0.627068i
$567$	2.64012	+	0.172596i	0.110874	+	0.00724836i
$568$	0.344644	+	2.39705i	0.0144610	+	0.100578i
$569$	−6.30059	−	32.6906i	−0.264135	−	1.37046i	−0.835376	−	0.549679i	$-0.814750\pi$
$569$	−6.30059	−	32.6906i	−0.264135	−	1.37046i	0.571242	−	0.820782i	$-0.306462\pi$
$570$	−18.4247	−	0.877678i	−0.771727	−	0.0367619i
$571$	1.25648	−	6.51924i	0.0525820	−	0.272822i	−0.946116	−	0.323827i	$-0.895030\pi$
$571$	1.25648	−	6.51924i	0.0525820	−	0.272822i	0.998698	+	0.0510054i	$0.0162426\pi$
$572$	0.323009	−	1.33146i	0.0135057	−	0.0556713i
$573$	−0.771650	−	1.68968i	−0.0322362	−	0.0705873i
$574$	0.214388	−	0.197301i	0.00894839	−	0.00823518i
$575$	45.3421	+	32.1968i	1.89090	+	1.34270i
$576$	0.500000	−	0.866025i	0.0208333	−	0.0360844i
$577$	0.462696	+	0.329484i	0.0192623	+	0.0137166i	0.589647	−	0.807661i	$-0.299267\pi$
$577$	0.462696	+	0.329484i	0.0192623	+	0.0137166i	−0.570385	+	0.821377i	$0.693206\pi$
$578$	−11.9399	−	11.3847i	−0.496636	−	0.473542i
$579$	19.1098	−	6.61398i	0.794178	−	0.274868i
$580$	−27.0787	−	17.4024i	−1.12438	−	0.722595i
$581$	13.6107	−	5.92723i	0.564665	−	0.245903i
$582$	17.3100	−	2.48880i	0.717522	−	0.103164i
$583$	−5.17241	+	4.93188i	−0.214219	+	0.204258i
$584$	−5.49551	+	10.6598i	−0.227406	+	0.441106i
$585$	2.33588	+	5.83474i	0.0965767	+	0.241237i
$586$	−0.319051	−	0.448045i	−0.0131799	−	0.0185086i
$587$	−35.8986	−	16.3943i	−1.48169	−	0.676667i	−0.499808	−	0.866136i	$-0.666596\pi$
$587$	−35.8986	−	16.3943i	−1.48169	−	0.676667i	−0.981887	+	0.189469i	$0.939323\pi$
$588$	6.69182	−	2.05416i	0.275966	−	0.0847123i
$589$	−10.0590	−	15.6521i	−0.414474	−	0.644934i
$590$	−2.36790	−	2.48338i	−0.0974847	−	0.102239i
$591$	−12.1338	−	15.4294i	−0.499117	−	0.634679i
$592$	8.63972	+	2.99024i	0.355090	+	0.122898i
$593$	−5.91279	−	11.4692i	−0.242809	−	0.470984i	0.735667	−	0.677343i	$-0.236869\pi$
$593$	−5.91279	−	11.4692i	−0.242809	−	0.470984i	−0.978476	+	0.206359i	$0.933838\pi$
$594$	0.581556	−	0.671151i	0.0238615	−	0.0275377i
$595$	0.135061	−	7.63767i	0.00553696	−	0.313114i
$596$	0.454577	−	0.207598i	0.0186202	−	0.00850357i
$597$	−22.9406	−	13.2448i	−0.938895	−	0.542072i
$598$	1.73476	−	7.19269i	0.0709396	−	0.294131i
$599$	−10.2499	−	17.7533i	−0.418798	−	0.725379i	0.577021	−	0.816729i	$-0.304215\pi$
$599$	−10.2499	−	17.7533i	−0.418798	−	0.725379i	−0.995819	+	0.0913504i	$0.970882\pi$
$600$	−1.10223	+	11.5431i	−0.0449985	+	0.471246i
$601$	−10.2971	−	35.0686i	−0.420026	−	1.43048i	−0.849591	−	0.527442i	$-0.823151\pi$
$601$	−10.2971	−	35.0686i	−0.420026	−	1.43048i	0.429565	−	0.903036i	$-0.358667\pi$
$602$	0.738297	+	24.6698i	0.0300907	+	1.00547i
$603$	2.37768	−	3.69975i	0.0968268	−	0.150665i
$604$	−5.77154	+	1.11237i	−0.234841	+	0.0452618i
$605$	−32.6988	+	25.7146i	−1.32940	+	1.04545i
$606$	1.90410	+	7.84879i	0.0773486	+	0.318835i
$607$	−16.0999	+	0.766934i	−0.653476	+	0.0311289i	−0.371702	−	0.928352i	$-0.621226\pi$
$607$	−16.0999	+	0.766934i	−0.653476	+	0.0311289i	−0.281773	+	0.959481i	$0.590923\pi$
$608$	−0.644387	+	4.48181i	−0.0261333	+	0.181761i
$609$	−20.4542	−	4.31864i	−0.828845	−	0.175000i
$610$	6.55139	−	14.3455i	0.265258	−	0.580834i
$611$	9.76416	+	7.67862i	0.395016	+	0.310644i
$612$	−0.629948	−	0.324761i	−0.0254641	−	0.0131277i
$613$	−17.0654	+	4.14003i	−0.689267	+	0.167214i	−0.565069	−	0.825043i	$-0.691151\pi$
$613$	−17.0654	+	4.14003i	−0.689267	+	0.167214i	−0.124197	+	0.992258i	$0.539636\pi$
$614$	7.33968	−	18.3336i	0.296205	−	0.739885i
$615$	0.293782	+	0.339042i	0.0118464	+	0.0136715i
$616$	0.807612	−	2.20643i	0.0325396	−	0.0888994i
$617$	20.5562	+	17.8121i	0.827563	+	0.717087i	0.961768	−	0.273866i	$-0.0883026\pi$
$617$	20.5562	+	17.8121i	0.827563	+	0.717087i	−0.134205	+	0.990954i	$0.542848\pi$
$618$	−5.00079	−	1.21318i	−0.201161	−	0.0488012i
$619$	3.17176	−	4.45412i	0.127484	−	0.179026i	−0.745901	−	0.666057i	$-0.767981\pi$
$619$	3.17176	−	4.45412i	0.127484	−	0.179026i	0.873385	+	0.487031i	$0.161920\pi$
$620$	−14.4970	+	8.36982i	−0.582212	+	0.336140i
$621$	3.13576	−	3.62864i	0.125834	−	0.145612i
$622$			11.6520i			0.467204i
$623$	−1.52962	+	3.63326i	−0.0612828	+	0.145564i
$624$	1.48029	−	0.434652i	0.0592590	−	0.0174000i
$625$	−16.8376	−	48.6489i	−0.673502	−	1.94596i
$626$	−0.606726	+	12.7368i	−0.0242497	+	0.509063i
$627$	−1.31515	+	3.79989i	−0.0525222	+	0.151753i
$628$	20.7565	+	8.30963i	0.828273	+	0.331590i
$629$	1.82552	−	6.21717i	0.0727884	−	0.247895i
$630$	2.85324	+	10.3937i	0.113676	+	0.414094i
$631$	−43.4787	−	6.25129i	−1.73086	−	0.248860i	−0.796359	−	0.604824i	$-0.793244\pi$
$631$	−43.4787	−	6.25129i	−1.73086	−	0.248860i	−0.934500	+	0.355964i	$0.884153\pi$
$632$	0.531831	−	0.378715i	0.0211551	−	0.0150645i
$633$	0.569098	+	5.95986i	0.0226196	+	0.236883i
$634$	−19.3073	+	7.72947i	−0.766790	+	0.306976i
$635$	−4.12748	−	86.6465i	−0.163794	−	3.43846i
$636$	−7.72171	−	2.26730i	−0.306186	−	0.0899042i
$637$	9.65880	+	4.83078i	0.382695	+	0.191403i
$638$	−5.30303	+	4.59510i	−0.209949	+	0.181922i
$639$	−2.15250	+	1.10969i	−0.0851514	+	0.0438986i
$640$	4.00015	+	0.770966i	0.158120	+	0.0304751i
$641$	26.9920	−	28.3084i	1.06612	−	1.11811i	0.0734433	−	0.997299i	$-0.476601\pi$
$641$	26.9920	−	28.3084i	1.06612	−	1.11811i	0.992675	−	0.120814i	$-0.0385503\pi$
$642$	−9.46227	−	0.903537i	−0.373446	−	0.0356598i
$643$	−30.1472			−1.18889			−0.594445	−	0.804136i	$-0.702628\pi$
$643$	−30.1472			−1.18889			−0.594445	+	0.804136i	$0.702628\pi$
$644$	4.34547	−	11.9213i	0.171235	−	0.469764i
$645$	−38.0021			−1.49633
$646$	3.19454	+	0.305042i	0.125688	+	0.0120017i
$647$	−12.7555	+	13.3775i	−0.501469	+	0.525925i	−0.925006	−	0.379954i	$-0.875940\pi$
$647$	−12.7555	+	13.3775i	−0.501469	+	0.525925i	0.423537	+	0.905879i	$0.360788\pi$
$648$	0.981929	+	0.189251i	0.0385738	+	0.00743449i
$649$	−0.664861	+	0.342760i	−0.0260981	+	0.0134545i
$650$	−13.5200	+	11.7151i	−0.530298	+	0.459506i
$651$	−6.87050	+	8.42559i	−0.269276	+	0.330225i
$652$	11.7417	+	3.44766i	0.459839	+	0.135021i
$653$	0.0239722	+	0.503239i	0.000938105	+	0.0196932i	0.999288	−	0.0377330i	$-0.0120136\pi$
$653$	0.0239722	+	0.503239i	0.000938105	+	0.0196932i	−0.998350	+	0.0574262i	$0.981711\pi$
$654$	5.29274	−	2.11889i	0.206963	−	0.0828553i
$655$	7.86760	+	82.3933i	0.307413	+	3.21937i
$656$	0.0897037	−	0.0638777i	0.00350234	−	0.00249401i
$657$	−11.8709	−	1.70678i	−0.463129	−	0.0665879i
$658$	15.1549	+	14.9706i	0.590800	+	0.583614i
$659$	−1.25205	+	4.26408i	−0.0487729	+	0.166105i	−0.980278	−	0.197623i	$-0.936678\pi$
$659$	−1.25205	+	4.26408i	−0.0487729	+	0.166105i	0.931505	+	0.363728i	$0.118496\pi$
$660$	3.35861	+	1.34458i	0.130734	+	0.0523378i
$661$	−3.84950	+	11.1224i	−0.149728	+	0.432611i	−0.994776	−	0.102079i	$-0.967450\pi$
$661$	−3.84950	+	11.1224i	−0.149728	+	0.432611i	0.845048	+	0.534690i	$0.179572\pi$
$662$	−0.622791	+	13.0740i	−0.0242054	+	0.508135i
$663$	−0.357624	−	1.03329i	−0.0138889	−	0.0401295i
$664$	5.38370	−	1.58080i	0.208928	−	0.0613468i
$665$	−29.4847	−	38.8887i	−1.14337	−	1.50804i
$666$			9.14255i			0.354267i
$667$	−28.6050	+	24.8533i	−1.10759	+	0.962325i
$668$	−4.01500	+	2.31806i	−0.155345	+	0.0896884i
$669$	1.11207	−	1.56168i	0.0429951	−	0.0603781i
$670$	17.4110	+	4.22387i	0.672646	+	0.163182i
$671$	−2.59821	−	2.25136i	−0.100303	−	0.0869129i
$672$	2.60639	−	0.454700i	0.100544	−	0.0175404i
$673$	−25.6932	−	29.6516i	−0.990401	−	1.14298i	−0.989725	−	0.142984i	$-0.954330\pi$
$673$	−25.6932	−	29.6516i	−0.990401	−	1.14298i	−0.000675716	−	1.00000i	$-0.500215\pi$
$674$	3.89134	−	9.72010i	0.149889	−	0.374404i
$675$	−11.2688	+	2.73377i	−0.433735	+	0.105223i
$676$	−9.43927	−	4.86628i	−0.363049	−	0.187165i
$677$	26.6053	+	20.9226i	1.02252	+	0.804121i	0.980802	−	0.195008i	$-0.0624733\pi$
$677$	26.6053	+	20.9226i	1.02252	+	0.804121i	0.0417215	+	0.999129i	$0.486716\pi$
$678$	−4.87883	+	10.6831i	−0.187370	+	0.410283i
$679$	34.4265	+	30.9132i	1.32117	+	1.18634i
$680$	0.410894	−	2.85783i	0.0157571	−	0.109593i
$681$	16.5567	−	0.788693i	0.634454	−	0.0302228i
$682$	0.860320	+	3.54629i	0.0329433	+	0.135794i
$683$	40.5543	−	31.8922i	1.55177	−	1.22032i	0.676769	−	0.736196i	$-0.263380\pi$
$683$	40.5543	−	31.8922i	1.55177	−	1.22032i	0.874998	−	0.484127i	$-0.160863\pi$
$684$	−4.44607	+	0.856910i	−0.170000	+	0.0327648i
$685$	2.21927	−	3.45326i	0.0847941	−	0.131942i
$686$	15.5255	+	10.0975i	0.592766	+	0.385524i
$687$	8.43764	+	28.7360i	0.321916	+	1.09635i
$688$	−0.886729	+	9.28624i	−0.0338062	+	0.354035i
$689$	−6.20793	−	10.7524i	−0.236503	−	0.409635i
$690$	18.1473	+	7.23699i	0.690857	+	0.275507i
$691$	15.3179	+	8.84377i	0.582719	+	0.336433i	0.762213	−	0.647326i	$-0.224113\pi$
$691$	15.3179	+	8.84377i	0.582719	+	0.336433i	−0.179494	+	0.983759i	$0.557446\pi$
$692$	−6.01680	+	2.74778i	−0.228724	+	0.104455i
$693$	2.34922	+	0.0415424i	0.0892394	+	0.00157807i
$694$	1.01337	−	1.16949i	0.0384670	−	0.0443933i
$695$	−15.6121	−	30.2833i	−0.592201	−	1.14871i
$696$	−7.46682	−	2.58429i	−0.283029	−	0.0979573i
$697$	−0.0482461	−	0.0613499i	−0.00182745	−	0.00232379i
$698$	−22.1386	−	23.2183i	−0.837959	−	0.878826i
$699$	5.99085	+	9.32195i	0.226595	+	0.352588i
$700$	−25.3012	+	17.3510i	−0.956296	+	0.655806i
$701$	42.4810	+	19.4004i	1.60449	+	0.732744i	0.998052	−	0.0623900i	$-0.0198723\pi$
$701$	42.4810	+	19.4004i	1.60449	+	0.732744i	0.606434	+	0.795134i	$0.292600\pi$
$702$	0.894902	+	1.25671i	0.0337759	+	0.0474316i
$703$	−15.3855	−	38.4312i	−0.580276	−	1.44946i
$704$	0.406933	−	0.789339i	0.0153368	−	0.0297493i
$705$	−23.7385	+	22.6347i	−0.894045	+	0.852470i
$706$	−5.47699	+	0.787472i	−0.206129	+	0.0296369i
$707$	−12.7006	+	17.1842i	−0.477657	+	0.646279i
$708$	−0.708588	−	0.455382i	−0.0266304	−	0.0171143i
$709$	−12.0444	+	4.16860i	−0.452336	+	0.156555i	−0.543731	−	0.839260i	$-0.682989\pi$
$709$	−12.0444	+	4.16860i	−0.452336	+	0.156555i	0.0913948	+	0.995815i	$0.470867\pi$
$710$	−7.13998	−	6.80795i	−0.267959	−	0.255498i
$711$	0.531831	+	0.378715i	0.0199452	+	0.0142029i
$712$	−0.744991	+	1.29036i	−0.0279197	+	0.0483584i
$713$	4.67159	+	19.1450i	0.174953	+	0.716984i
$714$	−0.409791	−	1.82981i	−0.0153361	−	0.0684788i
$715$	2.31860	+	5.07703i	0.0867108	+	0.189870i
$716$	−0.762073	+	3.14131i	−0.0284800	+	0.117396i
$717$	3.35674	−	17.4164i	0.125360	−	0.650428i
$718$	8.44469	+	0.402270i	0.315153	+	0.0150126i
$719$	4.28848	+	22.2507i	0.159933	+	0.829813i	0.969931	+	0.243380i	$0.0782561\pi$
$719$	4.28848	+	22.2507i	0.159933	+	0.829813i	−0.809998	+	0.586433i	$0.800532\pi$
$720$	0.579758	+	4.03231i	0.0216063	+	0.150275i
$721$	−6.02364	−	12.2096i	−0.224332	−	0.454708i
$722$	1.26342	−	0.811951i	0.0470196	−	0.0302177i
$723$	−4.68943	+	5.96309i	−0.174402	+	0.221770i
$724$	22.5440	−	2.15269i	0.837842	−	0.0800042i
$725$	91.2066	−	8.70918i	3.38733	−	0.323451i
$726$	−6.31224	+	8.02666i	−0.234269	+	0.297897i
$727$	34.8476	−	22.3952i	1.29243	−	0.830592i	0.300061	−	0.953920i	$-0.402993\pi$
$727$	34.8476	−	22.3952i	1.29243	−	0.830592i	0.992366	+	0.123328i	$0.0393566\pi$
$728$	3.39429	+	2.26717i	0.125801	+	0.0840268i
$729$	0.142315	+	0.989821i	0.00527092	+	0.0366601i
$730$	−9.24619	−	47.9738i	−0.342217	−	1.77559i
$731$	6.60393	+	0.314584i	0.244255	+	0.0116353i
$732$	0.732645	−	3.80132i	0.0270793	−	0.140501i
$733$	6.80677	−	28.0579i	0.251414	−	1.03634i	−0.696435	−	0.717620i	$-0.745231\pi$
$733$	6.80677	−	28.0579i	0.251414	−	1.03634i	0.947848	−	0.318721i	$-0.103253\pi$
$734$	0.153119	+	0.335284i	0.00565173	+	0.0123756i
$735$	−16.2557	+	23.4294i	−0.599599	+	0.864208i
$736$	2.19188	−	4.26564i	0.0807939	−	0.157233i
$737$	1.95280	−	3.38235i	0.0719323	−	0.124590i
$738$	0.0897037	+	0.0638777i	0.00330204	+	0.00235137i
$739$	32.6448	+	31.1267i	1.20086	+	1.14502i	0.985713	+	0.168433i	$0.0538707\pi$
$739$	32.6448	+	31.1267i	1.20086	+	1.14502i	0.215144	+	0.976582i	$0.430978\pi$
$740$	−35.1963	+	12.1815i	−1.29384	+	0.447802i
$741$	−5.87663	−	3.77668i	−0.215883	−	0.138740i
$742$	−8.50128	−	19.5214i	−0.312092	−	0.716654i
$743$	2.87324	−	0.413109i	0.105409	−	0.0151555i	−0.0894086	−	0.995995i	$-0.528498\pi$
$743$	2.87324	−	0.413109i	0.105409	−	0.0151555i	0.194817	+	0.980840i	$0.437589\pi$
$744$	−2.97391	+	2.83562i	−0.109029	+	0.103959i
$745$	−0.932865	+	1.80951i	−0.0341775	+	0.0662952i
$746$	−7.28596	−	18.1994i	−0.266758	−	0.666329i
$747$	3.25469	+	4.57057i	0.119083	+	0.167229i
$748$	−0.572521	−	0.261461i	−0.0209334	−	0.00955998i
$749$	−14.2232	−	20.7402i	−0.519704	−	0.757832i
$750$	−14.5265	−	22.6037i	−0.530433	−	0.825370i
$751$	34.4382	+	36.1177i	1.25667	+	1.31796i	0.927565	+	0.373661i	$0.121898\pi$
$751$	34.4382	+	36.1177i	1.25667	+	1.31796i	0.329103	+	0.944294i	$0.393254\pi$
$752$	4.97712	+	6.32893i	0.181497	+	0.230792i
$753$	−11.3618	−	3.93237i	−0.414049	−	0.143304i
$754$	−5.58584	−	10.8350i	−0.203424	−	0.394588i
$755$	15.6804	−	18.0962i	0.570669	−	0.658587i
$756$	1.28216	+	2.31432i	0.0466316	+	0.0841710i
$757$	−15.1679	+	6.92697i	−0.551288	+	0.251765i	−0.671527	−	0.740980i	$-0.734361\pi$
$757$	−15.1679	+	6.92697i	−0.551288	+	0.251765i	0.120239	+	0.992745i	$0.461634\pi$
$758$	21.8123	+	12.5934i	0.792260	+	0.457412i
$759$	2.62826	−	3.35130i	0.0953997	−	0.121645i
$760$	−9.22281	−	15.9744i	−0.334546	−	0.579451i
$761$	−2.64081	+	27.6558i	−0.0957291	+	1.00252i	0.812195	+	0.583386i	$0.198273\pi$
$761$	−2.64081	+	27.6558i	−0.0957291	+	1.00252i	−0.907924	+	0.419135i	$0.862333\pi$
$762$	−5.99906	−	20.4309i	−0.217323	−	0.740135i
$763$	13.2827	+	7.14775i	0.480865	+	0.258766i
$764$	1.00426	−	1.56266i	0.0363329	−	0.0565351i
$765$	2.83504	−	0.546410i	0.102501	−	0.0197555i
$766$	−12.5331	+	9.85616i	−0.452840	+	0.356118i
$767$	−0.306366	−	1.26286i	−0.0110622	−	0.0455991i
$768$	0.998867	−	0.0475819i	0.0360435	−	0.00171696i
$769$	−0.0517325	+	0.359808i	−0.00186552	+	0.0129750i	−0.990733	−	0.135824i	$-0.956632\pi$
$769$	−0.0517325	+	0.359808i	−0.00186552	+	0.0129750i	0.988867	+	0.148799i	$0.0475408\pi$
$770$	2.97017	+	9.09918i	0.107038	+	0.327912i
$771$	−10.6494	+	23.3190i	−0.383530	+	0.839813i
$772$	15.8956	+	12.5004i	0.572095	+	0.449900i
$773$	11.3015	+	5.82631i	0.406485	+	0.209558i	0.649329	−	0.760508i	$-0.275050\pi$
$773$	11.3015	+	5.82631i	0.406485	+	0.209558i	−0.242844	+	0.970065i	$0.578080\pi$
$774$	−9.06553	+	2.19927i	−0.325854	+	0.0790513i
$775$	17.7089	−	44.2347i	0.636123	−	1.58896i
$776$	11.4522	+	13.2165i	0.411110	+	0.474446i
$777$	−18.5580	+	15.5147i	−0.665764	+	0.556586i
$778$	−20.5802	−	17.8328i	−0.737836	−	0.639339i
$779$	−0.484571	−	0.117556i	−0.0173616	−	0.00421187i
$780$	−3.64563	+	5.11957i	−0.130534	+	0.183310i
$781$	−1.86249	+	1.07531i	−0.0666451	+	0.0384776i
$782$	−3.09369	−	1.40785i	−0.110630	−	0.0503447i
$783$		−	7.90139i		−	0.282373i
$784$	5.34594	+	4.51895i	0.190927	+	0.161391i
$785$	−87.3920	+	25.6606i	−3.11915	+	0.915866i
$786$	6.64514	+	19.1999i	0.237024	+	0.684837i
$787$	1.96495	−	41.2495i	0.0700431	−	1.47038i	−0.641165	−	0.767403i	$-0.721549\pi$
$787$	1.96495	−	41.2495i	0.0700431	−	1.47038i	0.711208	−	0.702982i	$-0.248148\pi$
$788$	6.41999	−	18.5493i	0.228703	−	0.660793i
$789$	23.0271	+	9.21866i	0.819787	+	0.328193i
$790$	−0.749334	+	2.55200i	−0.0266601	+	0.0907960i
$791$	−29.9644	+	8.22575i	−1.06541	+	0.292474i
$792$	0.879021	+	0.126384i	0.0312346	+	0.00449086i
$793$	4.86509	−	3.46442i	0.172764	−	0.123025i
$794$	−1.11084	−	11.6332i	−0.0394222	−	0.412848i
$795$	30.4361	−	12.1848i	1.07946	−	0.432149i
$796$	−1.26042	−	26.4595i	−0.0446744	−	0.937832i
$797$	10.5314	+	3.09231i	0.373043	+	0.109535i	0.462879	−	0.886421i	$-0.346816\pi$
$797$	10.5314	+	3.09231i	0.373043	+	0.109535i	−0.0898365	+	0.995957i	$0.528634\pi$
$798$	−9.28426	−	7.57069i	−0.328659	−	0.267999i
$799$	4.31260	−	3.73689i	0.152569	−	0.132202i
$800$	−10.3066	+	5.31342i	−0.364393	+	0.187858i
$801$	−1.46306	−	0.281981i	−0.0516945	−	0.00996331i
$802$	8.46420	−	8.87700i	0.298881	−	0.313458i
$803$	−10.6023	−	1.01239i	−0.374146	−	0.0357266i
$804$	4.39790			0.155102
$805$	16.1056	+	49.1173i	0.567647	+	1.73116i
$806$	−6.33949			−0.223299
$807$	7.12271	+	0.680136i	0.250731	+	0.0239419i
$808$	−5.57339	+	5.84520i	−0.196071	+	0.205634i
$809$	−5.91503	−	1.14003i	−0.207961	−	0.0400813i	0.0842064	−	0.996448i	$-0.473164\pi$
$809$	−5.91503	−	1.14003i	−0.207961	−	0.0400813i	−0.292168	+	0.956367i	$0.594377\pi$
$810$	−3.62091	+	1.86671i	−0.127226	+	0.0655895i
$811$	10.7196	−	9.28857i	0.376416	−	0.326166i	−0.446021	−	0.895022i	$-0.647159\pi$
$811$	10.7196	−	9.28857i	0.376416	−	0.326166i	0.822437	+	0.568856i	$0.192614\pi$
$812$	−7.42529	−	19.5420i	−0.260577	−	0.685789i
$813$	16.1981	+	4.75619i	0.568092	+	0.166807i
$814$	0.386324	+	8.10994i	0.0135406	+	0.284253i
$815$	−46.2812	+	18.5282i	−1.62116	+	0.649014i
$816$	−0.0673694	−	0.705525i	−0.00235840	−	0.0246983i
$817$	34.4064	−	24.5007i	1.20373	−	0.857170i
$818$	−30.0234	−	4.31671i	−1.04974	−	0.150930i
$819$	−1.03231	+	3.94913i	−0.0360719	+	0.137994i
$820$	−0.126390	+	0.430445i	−0.00441373	+	0.0150318i
$821$	−42.4790	−	17.0060i	−1.48253	−	0.593515i	−0.517506	−	0.855680i	$-0.673139\pi$
$821$	−42.4790	−	17.0060i	−1.48253	−	0.593515i	−0.965023	+	0.262165i	$0.915564\pi$
$822$	0.329567	−	0.952221i	0.0114950	−	0.0332125i
$823$	−2.26790	+	47.6090i	−0.0790539	+	1.65955i	0.516542	+	0.856262i	$0.327219\pi$
$823$	−2.26790	+	47.6090i	−0.0790539	+	1.65955i	−0.595596	+	0.803284i	$0.703084\pi$
$824$	−1.68304	−	4.86282i	−0.0586315	−	0.169404i
$825$	−9.88048	+	2.90117i	−0.343994	+	0.101006i
$826$	−0.278101	−	2.21110i	−0.00967636	−	0.0769339i
$827$			26.5428i			0.922984i	0.887144	+	0.461492i	$0.152686\pi$
$827$			26.5428i			0.922984i	−0.887144	+	0.461492i	$0.847314\pi$
$828$	4.74792	+	0.676179i	0.165002	+	0.0234988i
$829$	16.3194	−	9.42202i	0.566796	−	0.327240i	−0.189072	−	0.981963i	$-0.560548\pi$
$829$	16.3194	−	9.42202i	0.566796	−	0.327240i	0.755869	+	0.654723i	$0.227215\pi$
$830$	−13.2589	+	18.6195i	−0.460222	+	0.646292i
$831$	−9.68429	−	2.34938i	−0.335944	−	0.0814992i
$832$	1.16596	+	1.01031i	0.0404223	+	0.0350261i
$833$	3.01882	−	3.93695i	0.104596	−	0.136407i
$834$	−5.47688	−	6.32066i	−0.189649	−	0.218867i
$835$	7.01940	−	17.5336i	0.242916	−	0.606776i
$836$	−3.90769	+	0.947996i	−0.135150	+	0.0327871i
$837$	−3.65234	−	1.88291i	−0.126243	−	0.0650829i
$838$	−8.50822	−	6.69094i	−0.293911	−	0.231135i
$839$	−19.8296	+	43.4209i	−0.684595	+	1.49905i	0.173105	+	0.984903i	$0.444620\pi$
$839$	−19.8296	+	43.4209i	−0.684595	+	1.49905i	−0.857700	+	0.514151i	$0.828107\pi$
$840$	−7.20113	+	8.01954i	−0.248463	+	0.276701i
$841$	−4.75787	+	33.0917i	−0.164064	+	1.14109i
$842$	−16.2930	+	0.776133i	−0.561495	+	0.0267473i
$843$	−5.37482	−	22.1553i	−0.185119	−	0.763070i
$844$	−4.70608	+	3.70090i	−0.161990	+	0.127390i
$845$	42.4809	−	8.18752i	1.46139	−	0.281659i
$846$	−4.35298	+	6.77338i	−0.149659	+	0.232873i
$847$	−27.0046	+	0.808171i	−0.927889	+	0.0277691i
$848$	−2.26730	−	7.72171i	−0.0778593	−	0.265165i
$849$	−2.62297	+	27.4690i	−0.0900202	+	0.942734i
$850$	4.10910	+	7.11718i	0.140941	+	0.244117i
$851$	2.14476	+	43.7937i	0.0735216	+	1.50123i
$852$	−2.09726	−	1.21085i	−0.0718508	−	0.0414831i
$853$	−28.3600	+	12.9516i	−0.971029	+	0.443454i	−0.836807	−	0.547497i	$-0.815581\pi$
$853$	−28.3600	+	12.9516i	−0.971029	+	0.443454i	−0.134222	+	0.990951i	$0.542853\pi$
$854$	8.95938	−	4.96359i	0.306584	−	0.169851i
$855$	12.0793	−	13.9403i	0.413104	−	0.476747i
$856$	−4.35559	−	8.44866i	−0.148871	−	0.288769i
$857$	−43.9383	−	15.2072i	−1.50090	−	0.519468i	−0.551676	−	0.834059i	$-0.686011\pi$
$857$	−43.9383	−	15.2072i	−1.50090	−	0.519468i	−0.949227	+	0.314591i	$0.898133\pi$
$858$	0.846930	+	1.07696i	0.0289137	+	0.0367668i
$859$	−4.30289	−	4.51274i	−0.146813	−	0.153973i	0.646221	−	0.763150i	$-0.276348\pi$
$859$	−4.30289	−	4.51274i	−0.146813	−	0.153973i	−0.793034	+	0.609177i	$0.791500\pi$
$860$	−20.5455	−	31.9694i	−0.700596	−	1.09015i
$861$	0.0225630	+	0.290484i	0.000768944	+	0.00989966i
$862$	19.3722	+	8.84699i	0.659820	+	0.301330i
$863$	4.57533	+	6.42515i	0.155746	+	0.218715i	0.885075	−	0.465448i	$-0.154107\pi$
$863$	4.57533	+	6.42515i	0.155746	+	0.218715i	−0.729329	+	0.684163i	$0.760168\pi$
$864$	0.371662	+	0.928368i	0.0126442	+	0.0315837i
$865$	12.3474	−	23.9507i	0.419825	−	0.814347i
$866$	3.16319	−	3.01610i	0.107490	−	0.102491i
$867$	16.3298	−	2.34787i	0.554588	−	0.0797377i
$868$	−10.8025	−	1.22461i	−0.366662	−	0.0415660i
$869$	0.487765	+	0.313468i	0.0165463	+	0.0106337i
$870$	30.4181	−	10.5278i	1.03127	−	0.356926i
$871$	4.91054	+	4.68219i	0.166387	+	0.158650i
$872$	4.64400	+	3.30698i	0.157266	+	0.111988i
$873$	−8.74400	+	15.1451i	−0.295940	+	0.512582i
$874$	−21.0961	+	5.14768i	−0.713585	+	0.174123i
$875$	21.2309	−	67.8444i	0.717735	−	2.29356i
$876$	−4.98207	−	10.9092i	−0.168329	−	0.368588i
$877$	−5.94855	+	24.5202i	−0.200868	+	0.827990i	0.778785	+	0.627291i	$0.215836\pi$
$877$	−5.94855	+	24.5202i	−0.200868	+	0.827990i	−0.979653	+	0.200699i	$0.935679\pi$
$878$	−0.689813	+	3.57909i	−0.0232800	+	0.120788i
$879$	0.549411	+	0.0261717i	0.0185312	+	0.000882749i
$880$	0.684664	+	3.55238i	0.0230800	+	0.119751i
$881$	3.83588	+	26.6791i	0.129234	+	0.898842i	0.946528	+	0.322621i	$0.104564\pi$
$881$	3.83588	+	26.6791i	0.129234	+	0.898842i	−0.817294	+	0.576221i	$0.804527\pi$
$882$	−2.52192	+	6.52992i	−0.0849176	+	0.219874i
$883$	7.01726	−	4.50972i	0.236149	−	0.151764i	−0.417214	−	0.908808i	$-0.636994\pi$
$883$	7.01726	−	4.50972i	0.236149	−	0.151764i	0.653364	+	0.757044i	$0.273357\pi$
$884$	0.675909	−	0.859488i	0.0227333	−	0.0289077i
$885$	3.41580	−	0.326170i	0.114821	−	0.0109641i
$886$	−29.9865	+	2.86337i	−1.00742	+	0.0961966i
$887$	−18.8054	+	23.9130i	−0.631423	+	0.802920i	−0.991514	−	0.129997i	$-0.958503\pi$
$887$	−18.8054	+	23.9130i	−0.631423	+	0.802920i	0.360091	+	0.932917i	$0.382746\pi$
$888$	−7.69121	+	4.94284i	−0.258100	+	0.165871i
$889$	31.2914	−	46.8480i	1.04948	−	1.57123i
$890$	−0.863829	−	6.00806i	−0.0289556	−	0.201391i
$891$	0.168066	+	0.872011i	0.00563044	+	0.0292135i
$892$	1.91500	+	0.0912227i	0.0641189	+	0.00305436i
$893$	6.89943	−	35.7977i	0.230881	−	1.19792i
$894$	−0.117818	+	0.485651i	−0.00394041	+	0.0162426i
$895$	−5.47025	−	11.9782i	−0.182850	−	0.400386i
$896$	1.79164	+	1.94680i	0.0598544	+	0.0650381i
$897$	4.58148	+	5.80984i	0.152971	+	0.193985i
$898$	−7.48242	+	12.9599i	−0.249692	+	0.432479i
$899$	26.4475	+	18.8332i	0.882073	+	0.628122i
$900$	−8.39214	−	8.00189i	−0.279738	−	0.266730i
$901$	−5.38998	+	1.86549i	−0.179566	+	0.0621485i
$902$	0.0822712	+	0.0528725i	0.00273933	+	0.00176046i
$903$	−19.8482	−	14.6695i	−0.660505	−	0.488171i
$904$	−11.6249	+	1.67141i	−0.386639	+	0.0555903i
$905$	−66.7695	+	63.6646i	−2.21949	+	2.11628i
$906$	2.69335	−	5.22436i	0.0894804	−	0.173568i
$907$	−11.8141	−	29.5103i	−0.392282	−	0.979873i	−0.984703	−	0.174244i	$-0.944252\pi$
$907$	−11.8141	−	29.5103i	−0.392282	−	0.979873i	0.592421	−	0.805629i	$-0.298172\pi$
$908$	9.61472	+	13.5020i	0.319076	+	0.448079i
$909$	−7.34660	−	3.35508i	−0.243671	−	0.111281i
$910$	−16.5785	+	1.28771i	−0.549571	+	0.0426872i
$911$	−22.4761	−	34.9735i	−0.744666	−	1.15872i	−0.982290	−	0.187366i	$-0.940005\pi$
$911$	−22.4761	−	34.9735i	−0.744666	−	1.15872i	0.237624	−	0.971357i	$-0.423631\pi$
$912$	−3.12461	−	3.27699i	−0.103466	−	0.108512i
$913$	3.08022	+	3.91682i	0.101940	+	0.129628i
$914$	−14.4900	−	5.01502i	−0.479285	−	0.165882i
$915$	7.22656	+	14.0176i	0.238903	+	0.463406i
$916$	−19.6125	+	22.6340i	−0.648015	+	0.747849i
$917$	−27.6962	+	46.0703i	−0.914608	+	1.52138i
$918$	0.644687	−	0.294419i	0.0212778	−	0.00971727i
$919$	21.5516	+	12.4428i	0.710923	+	0.410452i	0.811403	−	0.584487i	$-0.198704\pi$
$919$	21.5516	+	12.4428i	0.710923	+	0.410452i	−0.100480	+	0.994939i	$0.532038\pi$
$920$	3.72304	+	19.1791i	0.122745	+	0.632316i
$921$	9.87412	+	17.1025i	0.325363	+	0.563546i
$922$	−3.41396	+	35.7526i	−0.112433	+	1.17745i
$923$	−1.05260	−	3.58482i	−0.0346467	−	0.117996i
$924$	1.23514	+	1.99875i	0.0406330	+	0.0657540i
$925$	57.3153	−	89.1843i	1.88451	−	2.93236i
$926$	−20.9287	+	4.03367i	−0.687759	+	0.132555i
$927$	4.04490	−	3.18095i	0.132852	−	0.104476i
$928$	−1.86282	−	7.67866i	−0.0611502	−	0.252064i
$929$	18.6114	−	0.886570i	0.610620	−	0.0290874i	0.260005	−	0.965607i	$-0.416276\pi$
$929$	18.6114	−	0.886570i	0.610620	−	0.0290874i	0.350615	+	0.936520i	$0.385973\pi$
$930$	2.38230	−	16.5693i	0.0781187	−	0.543327i
$931$	−0.387831	−	31.6929i	−0.0127106	−	1.03869i
$932$	−4.60322	+	10.0796i	−0.150784	+	0.330170i
$933$	−9.15912	−	7.20282i	−0.299856	−	0.235810i
$934$	8.12205	+	4.18721i	0.265762	+	0.137010i
$935$	2.49175	−	0.604492i	0.0814889	−	0.0197690i
$936$	−0.573395	+	1.43227i	−0.0187420	+	0.0468152i
$937$	−18.0455	−	20.8256i	−0.589521	−	0.680344i	0.380103	−	0.924944i	$-0.375889\pi$
$937$	−18.0455	−	20.8256i	−0.589521	−	0.680344i	−0.969624	+	0.244601i	$0.921343\pi$
$938$	7.46312	+	8.92706i	0.243680	+	0.291479i
$939$	−9.63671	−	8.35026i	−0.314482	−	0.272500i
$940$	−31.8755	−	7.73291i	−1.03966	−	0.252220i
$941$	14.8840	−	20.9017i	0.485206	−	0.681376i	−0.497307	−	0.867575i	$-0.665678\pi$
$941$	14.8840	−	20.9017i	0.485206	−	0.681376i	0.982512	+	0.186199i	$0.0596170\pi$
$942$	−19.3626	+	11.1790i	−0.630868	+	0.364232i
$943$	0.444674	+	0.284936i	0.0144806	+	0.00927881i
$944$		−	0.842300i		−	0.0274145i
$945$	−9.93373	−	4.18214i	−0.323144	−	0.136045i
$946$	−7.94868	+	2.33394i	−0.258434	+	0.0758831i
$947$	6.69388	+	19.3407i	0.217522	+	0.628489i	0.999983	+	0.00578926i	$0.00184279\pi$
$947$	6.69388	+	19.3407i	0.217522	+	0.628489i	−0.782461	+	0.622699i	$0.786036\pi$
$948$	−0.0310659	+	0.652153i	−0.00100897	+	0.0211809i
$949$	6.05160	−	17.4850i	0.196443	−	0.567586i
$950$	48.7428	+	19.5137i	1.58142	+	0.633107i
$951$	5.85919	−	19.9546i	0.189997	−	0.647072i
$952$	1.31778	−	1.33401i	0.0427096	−	0.0432354i
$953$	−0.0731076	−	0.0105113i	−0.00236819	−	0.000340494i	0.141131	−	0.989991i	$-0.454926\pi$
$953$	−0.0731076	−	0.0105113i	−0.00236819	−	0.000340494i	−0.143499	+	0.989650i	$0.545835\pi$
$954$	6.55546	−	4.66812i	0.212241	−	0.151136i
$955$	0.719308	+	7.53293i	0.0232763	+	0.243760i
$956$	16.4664	−	6.59216i	0.532562	−	0.213206i
$957$	−0.333878	−	7.00896i	−0.0107927	−	0.226568i
$958$	31.6301	+	9.28744i	1.02192	+	0.300064i
$959$	2.49213	−	0.946925i	0.0804750	−	0.0305778i
$960$	−3.07875	+	2.66775i	−0.0993663	+	0.0861014i
$961$	−12.5460	+	6.46791i	−0.404709	+	0.208642i
$962$	−13.8501	−	2.66938i	−0.446545	−	0.0860644i
$963$	6.55942	−	6.87932i	0.211374	−	0.221683i
$964$	−7.55177	−	0.721106i	−0.243226	−	0.0232253i
$965$	−82.3799			−2.65190
$966$	6.68457	+	10.7850i	0.215072	+	0.347002i
$967$	−34.7250			−1.11668			−0.558341	−	0.829611i	$-0.688562\pi$
$967$	−34.7250			−1.11668			−0.558341	+	0.829611i	$0.688562\pi$
$968$	−10.1651	−	0.970651i	−0.326719	−	0.0311979i
$969$	−2.21451	+	2.32252i	−0.0711404	+	0.0746099i
$970$	−69.9547	−	13.4827i	−2.24611	−	0.432902i
$971$	−3.23623	+	1.66839i	−0.103855	+	0.0535412i	−0.509372	−	0.860547i	$-0.670122\pi$
$971$	−3.23623	+	1.66839i	−0.103855	+	0.0535412i	0.405516	+	0.914088i	$0.367092\pi$
$972$	−0.755750	+	0.654861i	−0.0242407	+	0.0210047i
$973$	3.53584	−	21.8432i	0.113354	−	0.700262i
$974$	24.8013	+	7.28233i	0.794686	+	0.233341i
$975$	−0.851218	−	17.8693i	−0.0272608	−	0.572274i
$976$	3.59397	−	1.43881i	0.115040	−	0.0460552i
$977$	−0.562023	−	5.88577i	−0.0179807	−	0.188303i	0.982019	−	0.188781i	$-0.0604537\pi$
$977$	−0.562023	−	5.88577i	−0.0179807	−	0.188303i	−1.00000		0.000478665i	$0.999848\pi$
$978$	−9.96825	+	7.09836i	−0.318750	+	0.226981i
$979$	−1.30972	−	0.188310i	−0.0418590	−	0.00601841i
$980$	−28.4986	−	1.00823i	−0.910354	−	0.0322066i
$981$	−1.60619	+	5.47019i	−0.0512818	+	0.174650i
$982$	−24.6436	−	9.86580i	−0.786408	−	0.314830i
$983$	11.6759	−	33.7353i	0.372403	−	1.07599i	−0.590709	−	0.806885i	$-0.701152\pi$
$983$	11.6759	−	33.7353i	0.372403	−	1.07599i	0.963111	−	0.269103i	$-0.0867271\pi$
$984$	−0.00523987	+	0.109998i	−0.000167041	+	0.00350662i
$985$	26.1536	+	75.5658i	0.833322	+	2.40773i
$986$	−5.37315	+	1.57770i	−0.171116	+	0.0502441i
$987$	−21.1358	+	2.65836i	−0.672760	+	0.0846164i
$988$		−	6.98556i		−	0.222240i
$989$	−42.9088	+	12.6614i	−1.36442	+	0.402610i
$990$	−3.13307	+	1.80888i	−0.0995754	+	0.0574899i
$991$	23.4247	−	32.8953i	0.744109	−	1.04496i	−0.252886	−	0.967496i	$-0.581380\pi$
$991$	23.4247	−	32.8953i	0.744109	−	1.04496i	0.996996	−	0.0774591i	$-0.0246807\pi$
$992$	−3.99330	−	0.968763i	−0.126787	−	0.0307583i
$993$	−9.89186	−	8.57135i	−0.313909	−	0.272003i
$994$	−1.10115	−	6.31189i	−0.0349263	−	0.200201i
$995$	70.6675	+	81.5546i	2.24031	+	2.58545i
$996$	−2.08539	+	5.20906i	−0.0660782	+	0.165055i
$997$	−7.59303	+	1.84205i	−0.240474	+	0.0583383i	−0.354184	−	0.935176i	$-0.615241\pi$
$997$	−7.59303	+	1.84205i	−0.240474	+	0.0583383i	0.113711	+	0.993514i	$0.463726\pi$
$998$	7.46323	+	3.84756i	0.236244	+	0.121792i
$999$	−7.18653	−	5.65155i	−0.227372	−	0.178807i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.be.b.19.9	✓	320
7.3	odd	6	inner	966.2.be.b.157.9	yes	320
23.17	odd	22	inner	966.2.be.b.523.9	yes	320
161.17	even	66	inner	966.2.be.b.661.9	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.be.b.19.9	✓	320	1.1	even	1	trivial
966.2.be.b.157.9	yes	320	7.3	odd	6	inner
966.2.be.b.523.9	yes	320	23.17	odd	22	inner
966.2.be.b.661.9	yes	320	161.17	even	66	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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.be (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.995472 - 0.0950560i) q^{2} +(0.690079 - 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(-3.62091 + 1.86671i) q^{5} +(-0.755750 + 0.654861i) q^{6} +(-2.61175 - 0.422774i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +O(q^{10})\)	\(q+(-0.995472 - 0.0950560i) q^{2} +(0.690079 - 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(-3.62091 + 1.86671i) q^{5} +(-0.755750 + 0.654861i) q^{6} +(-2.61175 - 0.422774i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +(3.78196 - 1.51407i) q^{10} +(-0.0844155 - 0.884039i) q^{11} +(0.814576 - 0.580057i) q^{12} +(1.52708 + 0.219561i) q^{13} +(2.55974 + 0.669122i) q^{14} +(-1.14771 + 3.90876i) q^{15} +(0.928368 + 0.371662i) q^{16} +(0.231804 - 0.669754i) q^{17} +(-0.0475819 + 0.998867i) q^{18} +(-1.48093 - 4.27886i) q^{19} +(-3.90876 + 1.14771i) q^{20} +(-2.10829 + 1.59847i) q^{21} +0.888060i q^{22} +(0.00640398 + 4.79583i) q^{23} +(-0.866025 + 0.500000i) q^{24} +(6.72612 - 9.44551i) q^{25} +(-1.49929 - 0.363725i) q^{26} +(-0.755750 - 0.654861i) q^{27} +(-2.48455 - 0.909411i) q^{28} +(5.17431 + 5.97147i) q^{29} +(1.51407 - 3.78196i) q^{30} +(3.99330 - 0.968763i) q^{31} +(-0.888835 - 0.458227i) q^{32} +(-0.698062 - 0.548962i) q^{33} +(-0.294419 + 0.644687i) q^{34} +(10.2461 - 3.34456i) q^{35} +(0.142315 - 0.989821i) q^{36} +(9.13220 - 0.435020i) q^{37} +(1.06749 + 4.40026i) q^{38} +(1.21271 - 0.953685i) q^{39} +(4.00015 - 0.770966i) q^{40} +(0.0595371 - 0.0926416i) q^{41} +(2.25069 - 1.39082i) q^{42} +(2.62814 + 8.95062i) q^{43} +(0.0844155 - 0.884039i) q^{44} +(2.03689 + 3.52799i) q^{45} +(0.449497 - 4.77472i) q^{46} +(6.97283 + 4.02576i) q^{47} +(0.909632 - 0.415415i) q^{48} +(6.64253 + 2.20836i) q^{49} +(-7.59352 + 8.76338i) q^{50} +(-0.324761 - 0.629948i) q^{51} +(1.45793 + 0.504595i) q^{52} +(-4.97476 - 6.32592i) q^{53} +(0.690079 + 0.723734i) q^{54} +(1.95591 + 3.04345i) q^{55} +(2.38685 + 1.14146i) q^{56} +(-4.11872 - 1.88096i) q^{57} +(-4.58326 - 6.43628i) q^{58} +(-0.313051 - 0.781965i) q^{59} +(-1.86671 + 3.62091i) q^{60} +(2.80178 - 2.67149i) q^{61} +(-4.06730 + 0.584790i) q^{62} +(-0.298022 + 2.62891i) q^{63} +(0.841254 + 0.540641i) q^{64} +(-5.93928 + 2.05560i) q^{65} +(0.642719 + 0.612831i) q^{66} +(3.58242 + 2.55103i) q^{67} +(0.354367 - 0.613782i) q^{68} +(3.47532 + 3.30486i) q^{69} +(-10.5177 + 2.35546i) q^{70} +(-1.00601 - 2.20286i) q^{71} +(-0.235759 + 0.971812i) q^{72} +(2.26969 - 11.7763i) q^{73} +(-9.13220 - 0.435020i) q^{74} +(-2.19449 - 11.3861i) q^{75} +(-0.644387 - 4.48181i) q^{76} +(-0.153276 + 2.34458i) q^{77} +(-1.29787 + 0.834092i) q^{78} +(-0.403591 + 0.513208i) q^{79} +(-4.05533 + 0.387237i) q^{80} +(-0.995472 + 0.0950560i) q^{81} +(-0.0680737 + 0.0865627i) q^{82} +(-4.72026 + 3.03353i) q^{83} +(-2.37271 + 1.17059i) q^{84} +(0.410894 + 2.85783i) q^{85} +(-1.76543 - 9.15991i) q^{86} +(7.89244 + 0.375963i) q^{87} +(-0.168066 + 0.872011i) q^{88} +(0.351277 - 1.44798i) q^{89} +(-1.69231 - 3.70563i) q^{90} +(-3.89553 - 1.21905i) q^{91} +(-0.901328 + 4.71037i) q^{92} +(2.05456 - 3.55861i) q^{93} +(-6.55858 - 4.67034i) q^{94} +(13.3497 + 12.7289i) q^{95} +(-0.945001 + 0.327068i) q^{96} +(-14.7118 - 9.45473i) q^{97} +(-6.40253 - 2.82977i) q^{98} +(-0.879021 + 0.126384i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 16 q^{2} + 16 q^{4} - 32 q^{8} - 16 q^{9}+O(q^{10}) \) 320 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 - 16 * q^9	\( 320 q + 16 q^{2} + 16 q^{4} - 32 q^{8} - 16 q^{9} + 22 q^{14} + 16 q^{16} - 66 q^{17} - 16 q^{18} + 36 q^{23} + 24 q^{25} + 12 q^{26} + 44 q^{28} + 8 q^{29} - 48 q^{31} + 16 q^{32} - 46 q^{35} + 32 q^{36} - 22 q^{37} + 66 q^{38} + 8 q^{39} + 176 q^{43} - 8 q^{46} + 120 q^{47} - 24 q^{49} - 48 q^{50} - 22 q^{51} - 12 q^{52} - 44 q^{53} + 44 q^{57} + 18 q^{58} + 12 q^{59} - 32 q^{64} - 108 q^{70} - 48 q^{71} - 16 q^{72} + 252 q^{73} + 22 q^{74} - 36 q^{75} - 42 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 12 q^{82} - 22 q^{84} - 76 q^{85} + 22 q^{86} + 24 q^{87} - 22 q^{88} + 16 q^{92} + 12 q^{94} + 26 q^{95} + 2 q^{98} + 88 q^{99}+O(q^{100}) \) 320 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 - 16 * q^9 + 22 * q^14 + 16 * q^16 - 66 * q^17 - 16 * q^18 + 36 * q^23 + 24 * q^25 + 12 * q^26 + 44 * q^28 + 8 * q^29 - 48 * q^31 + 16 * q^32 - 46 * q^35 + 32 * q^36 - 22 * q^37 + 66 * q^38 + 8 * q^39 + 176 * q^43 - 8 * q^46 + 120 * q^47 - 24 * q^49 - 48 * q^50 - 22 * q^51 - 12 * q^52 - 44 * q^53 + 44 * q^57 + 18 * q^58 + 12 * q^59 - 32 * q^64 - 108 * q^70 - 48 * q^71 - 16 * q^72 + 252 * q^73 + 22 * q^74 - 36 * q^75 - 42 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 12 * q^82 - 22 * q^84 - 76 * q^85 + 22 * q^86 + 24 * q^87 - 22 * q^88 + 16 * q^92 + 12 * q^94 + 26 * q^95 + 2 * q^98 + 88 * q^99

Introduction

L-functions

Modular forms

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