LMFDB - Embedded newform 966.2.be.a.19.7

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			19.7
Character	$\chi$	$=$	966.19
Dual form			966.2.be.a.661.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.995472 + 0.0950560i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(3.01447 - 1.55407i) q^{5} +(-0.755750 + 0.654861i) q^{6} +(1.02282 - 2.44005i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +O(q^{10})$	\(q+(0.995472 + 0.0950560i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(3.01447 - 1.55407i) q^{5} +(-0.755750 + 0.654861i) q^{6} +(1.02282 - 2.44005i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +(3.14854 - 1.26049i) q^{10} +(0.553137 + 5.79271i) q^{11} +(-0.814576 + 0.580057i) q^{12} +(-0.774803 - 0.111400i) q^{13} +(1.25013 - 2.33178i) q^{14} +(-0.955490 + 3.25410i) q^{15} +(0.928368 + 0.371662i) q^{16} +(0.366097 - 1.05777i) q^{17} +(0.0475819 - 0.998867i) q^{18} +(-1.33880 - 3.86820i) q^{19} +(3.25410 - 0.955490i) q^{20} +(1.06012 + 2.42408i) q^{21} +5.81906i q^{22} +(4.57710 - 1.43185i) q^{23} +(-0.866025 + 0.500000i) q^{24} +(3.77161 - 5.29648i) q^{25} +(-0.760705 - 0.184545i) q^{26} +(0.755750 + 0.654861i) q^{27} +(1.46612 - 2.20239i) q^{28} +(-1.67592 - 1.93412i) q^{29} +(-1.26049 + 3.14854i) q^{30} +(3.49060 - 0.846810i) q^{31} +(0.888835 + 0.458227i) q^{32} +(-4.57409 - 3.59710i) q^{33} +(0.464987 - 1.01818i) q^{34} +(-0.708750 - 8.94498i) q^{35} +(0.142315 - 0.989821i) q^{36} +(-9.23805 + 0.440062i) q^{37} +(-0.965039 - 3.97795i) q^{38} +(0.615299 - 0.483877i) q^{39} +(3.33019 - 0.641842i) q^{40} +(-3.76758 + 5.86247i) q^{41} +(0.824900 + 2.51387i) q^{42} +(1.43693 + 4.89374i) q^{43} +(-0.553137 + 5.79271i) q^{44} +(-1.69574 - 2.93711i) q^{45} +(4.69248 - 0.990285i) q^{46} +(7.89340 + 4.55726i) q^{47} +(-0.909632 + 0.415415i) q^{48} +(-4.90769 - 4.99145i) q^{49} +(4.25799 - 4.91399i) q^{50} +(0.512907 + 0.994901i) q^{51} +(-0.739719 - 0.256019i) q^{52} +(-4.62796 - 5.88493i) q^{53} +(0.690079 + 0.723734i) q^{54} +(10.6697 + 16.6023i) q^{55} +(1.66883 - 2.05305i) q^{56} +(3.72342 + 1.70043i) q^{57} +(-1.48448 - 2.08466i) q^{58} +(-2.24934 - 5.61858i) q^{59} +(-1.55407 + 3.01447i) q^{60} +(10.8626 - 10.3575i) q^{61} +(3.55529 - 0.511173i) q^{62} +(-2.48595 - 0.905556i) q^{63} +(0.841254 + 0.540641i) q^{64} +(-2.50874 + 0.868284i) q^{65} +(-4.21145 - 4.01561i) q^{66} +(9.24222 + 6.58136i) q^{67} +(0.559666 - 0.969369i) q^{68} +(-2.12228 + 4.30069i) q^{69} +(0.144733 - 8.97184i) q^{70} +(2.49183 + 5.45634i) q^{71} +(0.235759 - 0.971812i) q^{72} +(-2.65932 + 13.7979i) q^{73} +(-9.23805 - 0.440062i) q^{74} +(1.23054 + 6.38463i) q^{75} +(-0.582542 - 4.05167i) q^{76} +(14.7003 + 4.57520i) q^{77} +(0.658508 - 0.423198i) q^{78} +(-6.88320 + 8.75270i) q^{79} +(3.37612 - 0.322381i) q^{80} +(-0.995472 + 0.0950560i) q^{81} +(-4.30778 + 5.47779i) q^{82} +(-7.67192 + 4.93044i) q^{83} +(0.582206 + 2.58090i) q^{84} +(-0.540254 - 3.75755i) q^{85} +(0.965245 + 5.00817i) q^{86} +(2.55630 + 0.121772i) q^{87} +(-1.10126 + 5.71390i) q^{88} +(1.03686 - 4.27400i) q^{89} +(-1.40887 - 3.08500i) q^{90} +(-1.06430 + 1.77662i) q^{91} +(4.76536 - 0.539753i) q^{92} +(-1.79592 + 3.11063i) q^{93} +(7.42446 + 5.28694i) q^{94} +(-10.0472 - 9.57999i) q^{95} +(-0.945001 + 0.327068i) q^{96} +(-0.0947321 - 0.0608806i) q^{97} +(-4.41100 - 5.43535i) q^{98} +(5.75983 - 0.828138i) 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} + 40 q^{23} - 48 q^{25} + 12 q^{26} + 44 q^{28} - 24 q^{29} + 24 q^{31} - 16 q^{32} + 98 q^{35} + 32 q^{36} - 22 q^{37} - 66 q^{38} - 8 q^{39} - 88 q^{43} + 4 q^{46} - 144 q^{47} - 24 q^{49} + 80 q^{50} - 22 q^{51} + 12 q^{52} + 44 q^{53} + 44 q^{57} + 10 q^{58} + 12 q^{59} - 32 q^{64} + 108 q^{70} - 16 q^{71} + 16 q^{72} - 180 q^{73} - 22 q^{74} - 12 q^{75} + 18 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 36 q^{82} + 22 q^{84} + 68 q^{85} - 22 q^{86} + 48 q^{87} + 22 q^{88} + 8 q^{92} + 8 q^{93} - 12 q^{94} + 66 q^{95} - 90 q^{98}+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 + 40 * q^23 - 48 * q^25 + 12 * q^26 + 44 * q^28 - 24 * q^29 + 24 * q^31 - 16 * q^32 + 98 * q^35 + 32 * q^36 - 22 * q^37 - 66 * q^38 - 8 * q^39 - 88 * q^43 + 4 * q^46 - 144 * q^47 - 24 * q^49 + 80 * q^50 - 22 * q^51 + 12 * q^52 + 44 * q^53 + 44 * q^57 + 10 * q^58 + 12 * q^59 - 32 * q^64 + 108 * q^70 - 16 * q^71 + 16 * q^72 - 180 * q^73 - 22 * q^74 - 12 * q^75 + 18 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 36 * q^82 + 22 * q^84 + 68 * q^85 - 22 * q^86 + 48 * q^87 + 22 * q^88 + 8 * q^92 + 8 * q^93 - 12 * q^94 + 66 * q^95 - 90 * q^98

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
$5$	3.01447	−	1.55407i	1.34811	−	0.694999i	0.375366	−	0.926877i	$-0.377517\pi$
$5$	3.01447	−	1.55407i	1.34811	−	0.694999i	0.972745	+	0.231877i	$0.0744868\pi$
$6$	−0.755750	+	0.654861i	−0.308533	+	0.267346i
$7$	1.02282	−	2.44005i	0.386589	−	0.922252i
$7$	1.02282	−	2.44005i	0.386589	−	0.922252i
$8$	0.959493	+	0.281733i	0.339232	+	0.0996075i
$9$	−0.0475819	−	0.998867i	−0.0158606	−	0.332956i
$10$	3.14854	−	1.26049i	0.995656	−	0.398601i
$11$	0.553137	+	5.79271i	0.166777	+	1.74657i	0.561237	+	0.827655i	$0.310325\pi$
$11$	0.553137	+	5.79271i	0.166777	+	1.74657i	−0.394460	+	0.918913i	$0.629068\pi$
$12$	−0.814576	+	0.580057i	−0.235148	+	0.167448i
$13$	−0.774803	−	0.111400i	−0.214892	−	0.0308968i	0.0340281	−	0.999421i	$-0.489166\pi$
$13$	−0.774803	−	0.111400i	−0.214892	−	0.0308968i	−0.248920	+	0.968524i	$0.580076\pi$
$14$	1.25013	−	2.33178i	0.334111	−	0.623194i
$15$	−0.955490	+	3.25410i	−0.246707	+	0.840205i
$16$	0.928368	+	0.371662i	0.232092	+	0.0929156i
$17$	0.366097	−	1.05777i	0.0887917	−	0.256547i	−0.891859	−	0.452314i	$-0.850599\pi$
$17$	0.366097	−	1.05777i	0.0887917	−	0.256547i	0.980650	+	0.195768i	$0.0627198\pi$
$18$	0.0475819	−	0.998867i	0.0112152	−	0.235435i
$19$	−1.33880	−	3.86820i	−0.307141	−	0.887426i	−0.987924	−	0.154941i	$-0.950481\pi$
$19$	−1.33880	−	3.86820i	−0.307141	−	0.887426i	0.680783	−	0.732486i	$-0.261640\pi$
$20$	3.25410	−	0.955490i	0.727639	−	0.213654i
$21$	1.06012	+	2.42408i	0.231338	+	0.528977i
$22$			5.81906i			1.24063i
$23$	4.57710	−	1.43185i	0.954391	−	0.298561i
$23$	4.57710	−	1.43185i	0.954391	−	0.298561i
$24$	−0.866025	+	0.500000i	−0.176777	+	0.102062i
$25$	3.77161	−	5.29648i	0.754322	−	1.05930i
$26$	−0.760705	−	0.184545i	−0.149187	−	0.0361923i
$27$	0.755750	+	0.654861i	0.145444	+	0.126028i
$28$	1.46612	−	2.20239i	0.277070	−	0.416212i
$29$	−1.67592	−	1.93412i	−0.311211	−	0.359156i	0.578499	−	0.815683i	$-0.303639\pi$
$29$	−1.67592	−	1.93412i	−0.311211	−	0.359156i	−0.889710	+	0.456527i	$0.849093\pi$
$30$	−1.26049	+	3.14854i	−0.230132	+	0.574842i
$31$	3.49060	−	0.846810i	0.626930	−	0.152091i	0.0903072	−	0.995914i	$-0.471215\pi$
$31$	3.49060	−	0.846810i	0.626930	−	0.152091i	0.536622	+	0.843822i	$0.319700\pi$
$32$	0.888835	+	0.458227i	0.157125	+	0.0810038i
$33$	−4.57409	−	3.59710i	−0.796247	−	0.626175i
$34$	0.464987	−	1.01818i	0.0797446	−	0.174616i
$35$	−0.708750	−	8.94498i	−0.119801	−	1.51198i
$36$	0.142315	−	0.989821i	0.0237191	−	0.164970i
$37$	−9.23805	+	0.440062i	−1.51873	+	0.0723458i	−0.790275	−	0.612753i	$-0.790062\pi$
$37$	−9.23805	+	0.440062i	−1.51873	+	0.0723458i	−0.728451	+	0.685098i	$0.759759\pi$
$38$	−0.965039	−	3.97795i	−0.156550	−	0.645308i
$39$	0.615299	−	0.483877i	0.0985267	−	0.0774823i
$40$	3.33019	−	0.641842i	0.526549	−	0.101484i
$41$	−3.76758	+	5.86247i	−0.588397	+	0.915564i	0.411594	+	0.911367i	$0.364972\pi$
$41$	−3.76758	+	5.86247i	−0.588397	+	0.915564i	−0.999991	+	0.00419674i	$0.998664\pi$
$42$	0.824900	+	2.51387i	0.127285	+	0.387899i
$43$	1.43693	+	4.89374i	0.219130	+	0.746288i	0.993528	+	0.113589i	$0.0362347\pi$
$43$	1.43693	+	4.89374i	0.219130	+	0.746288i	−0.774398	+	0.632699i	$0.781947\pi$
$44$	−0.553137	+	5.79271i	−0.0833885	+	0.873284i
$45$	−1.69574	−	2.93711i	−0.252786	−	0.437838i
$46$	4.69248	−	0.990285i	0.691868	−	0.146010i
$47$	7.89340	+	4.55726i	1.15137	+	0.664744i	0.949221	−	0.314610i	$-0.101874\pi$
$47$	7.89340	+	4.55726i	1.15137	+	0.664744i	0.202150	+	0.979355i	$0.435207\pi$
$48$	−0.909632	+	0.415415i	−0.131294	+	0.0599600i
$49$	−4.90769	−	4.99145i	−0.701099	−	0.713064i
$50$	4.25799	−	4.91399i	0.602171	−	0.694943i
$51$	0.512907	+	0.994901i	0.0718214	+	0.139314i
$52$	−0.739719	−	0.256019i	−0.102581	−	0.0355035i
$53$	−4.62796	−	5.88493i	−0.635700	−	0.808358i	0.356330	−	0.934360i	$-0.384028\pi$
$53$	−4.62796	−	5.88493i	−0.635700	−	0.808358i	−0.992030	+	0.126002i	$0.959785\pi$
$54$	0.690079	+	0.723734i	0.0939079	+	0.0984877i
$55$	10.6697	+	16.6023i	1.43870	+	2.23866i
$56$	1.66883	−	2.05305i	0.223006	−	0.274350i
$57$	3.72342	+	1.70043i	0.493180	+	0.225228i
$58$	−1.48448	−	2.08466i	−0.194922	−	0.273730i
$59$	−2.24934	−	5.61858i	−0.292839	−	0.731477i	−0.999709	−	0.0241332i	$-0.992317\pi$
$59$	−2.24934	−	5.61858i	−0.292839	−	0.731477i	0.706869	−	0.707344i	$-0.250107\pi$
$60$	−1.55407	+	3.01447i	−0.200629	+	0.389166i
$61$	10.8626	−	10.3575i	1.39081	−	1.32614i	0.504231	−	0.863569i	$-0.331776\pi$
$61$	10.8626	−	10.3575i	1.39081	−	1.32614i	0.886583	−	0.462569i	$-0.153072\pi$
$62$	3.55529	−	0.511173i	0.451522	−	0.0649190i
$63$	−2.48595	−	0.905556i	−0.313201	−	0.114089i
$64$	0.841254	+	0.540641i	0.105157	+	0.0675801i
$65$	−2.50874	+	0.868284i	−0.311171	+	0.107697i
$66$	−4.21145	−	4.01561i	−0.518394	−	0.494287i
$67$	9.24222	+	6.58136i	1.12912	+	0.804041i	0.982704	−	0.185183i	$-0.0592878\pi$
$67$	9.24222	+	6.58136i	1.12912	+	0.804041i	0.146413	+	0.989224i	$0.453227\pi$
$68$	0.559666	−	0.969369i	0.0678694	−	0.117553i
$69$	−2.12228	+	4.30069i	−0.255492	+	0.517742i
$70$	0.144733	−	8.97184i	0.0172989	−	1.07234i
$71$	2.49183	+	5.45634i	0.295726	+	0.647549i	0.997922	−	0.0644345i	$-0.0205244\pi$
$71$	2.49183	+	5.45634i	0.295726	+	0.647549i	−0.702196	+	0.711983i	$0.747797\pi$
$72$	0.235759	−	0.971812i	0.0277845	−	0.114529i
$73$	−2.65932	+	13.7979i	−0.311250	+	1.61492i	0.403119	+	0.915148i	$0.367926\pi$
$73$	−2.65932	+	13.7979i	−0.311250	+	1.61492i	−0.714368	+	0.699770i	$0.753286\pi$
$74$	−9.23805	−	0.440062i	−1.07390	−	0.0511562i
$75$	1.23054	+	6.38463i	0.142090	+	0.737234i
$76$	−0.582542	−	4.05167i	−0.0668221	−	0.464758i
$77$	14.7003	+	4.57520i	1.67525	+	0.521393i
$78$	0.658508	−	0.423198i	0.0745614	−	0.0479177i
$79$	−6.88320	+	8.75270i	−0.774420	+	0.984755i	0.225525	+	0.974237i	$0.427590\pi$
$79$	−6.88320	+	8.75270i	−0.774420	+	0.984755i	−0.999945	+	0.0105177i	$0.996652\pi$
$80$	3.37612	−	0.322381i	0.377462	−	0.0360433i
$81$	−0.995472	+	0.0950560i	−0.110608	+	0.0105618i
$82$	−4.30778	+	5.47779i	−0.475715	+	0.604921i
$83$	−7.67192	+	4.93044i	−0.842103	+	0.541187i	−0.889102	−	0.457708i	$-0.848670\pi$
$83$	−7.67192	+	4.93044i	−0.842103	+	0.541187i	0.0469997	+	0.998895i	$0.485034\pi$
$84$	0.582206	+	2.58090i	0.0635239	+	0.281599i
$85$	−0.540254	−	3.75755i	−0.0585988	−	0.407563i
$86$	0.965245	+	5.00817i	0.104085	+	0.540045i
$87$	2.55630	+	0.121772i	0.274064	+	0.0130553i
$88$	−1.10126	+	5.71390i	−0.117395	+	0.609104i
$89$	1.03686	−	4.27400i	0.109907	−	0.453043i	−0.890089	−	0.455786i	$-0.849358\pi$
$89$	1.03686	−	4.27400i	0.109907	−	0.453043i	0.999996	+	0.00274332i	$0.000873226\pi$
$90$	−1.40887	−	3.08500i	−0.148508	−	0.325187i
$91$	−1.06430	+	1.77662i	−0.111569	+	0.186240i
$92$	4.76536	−	0.539753i	0.496823	−	0.0562731i
$93$	−1.79592	+	3.11063i	−0.186228	+	0.322557i
$94$	7.42446	+	5.28694i	0.765775	+	0.545306i
$95$	−10.0472	−	9.57999i	−1.03082	−	0.982886i
$96$	−0.945001	+	0.327068i	−0.0964487	+	0.0333812i
$97$	−0.0947321	−	0.0608806i	−0.00961859	−	0.00618149i	0.535823	−	0.844331i	$-0.320002\pi$
$97$	−0.0947321	−	0.0608806i	−0.00961859	−	0.00618149i	−0.545441	+	0.838149i	$0.683638\pi$
$98$	−4.41100	−	5.43535i	−0.445578	−	0.549054i
$99$	5.75983	−	0.828138i	0.578885	−	0.0832310i
$100$	4.70582	−	4.48699i	0.470582	−	0.448699i
$101$	−4.32428	+	8.38794i	−0.430282	+	0.834631i	0.569637	+	0.821897i	$0.307084\pi$
$101$	−4.32428	+	8.38794i	−0.430282	+	0.834631i	−0.999919	+	0.0127347i	$0.995946\pi$
$102$	0.416013	+	1.03915i	0.0411915	+	0.102891i
$103$	−1.13356	−	1.59186i	−0.111693	−	0.156850i	0.754946	−	0.655788i	$-0.227663\pi$
$103$	−1.13356	−	1.59186i	−0.111693	−	0.156850i	−0.866638	+	0.498937i	$0.833724\pi$
$104$	−0.712033	−	0.325175i	−0.0698206	−	0.0318860i
$105$	6.96288	+	5.65979i	0.679507	+	0.552339i
$106$	−4.04761	−	6.29820i	−0.393139	−	0.611735i
$107$	−8.50057	−	8.91514i	−0.821781	−	0.861859i	0.170565	−	0.985346i	$-0.445441\pi$
$107$	−8.50057	−	8.91514i	−0.821781	−	0.861859i	−0.992346	+	0.123487i	$0.960592\pi$
$108$	0.618159	+	0.786053i	0.0594824	+	0.0756380i
$109$	−17.2199	−	5.95987i	−1.64937	−	0.570852i	−0.664980	−	0.746862i	$-0.731560\pi$
$109$	−17.2199	−	5.95987i	−1.64937	−	0.570852i	−0.984388	+	0.176010i	$0.943681\pi$
$110$	9.04320	+	17.5414i	0.862235	+	1.67250i
$111$	6.05649	−	6.98957i	0.574857	−	0.663420i
$112$	1.85643	−	1.88512i	0.175416	−	0.178127i
$113$	6.23100	−	2.84560i	0.586163	−	0.267692i	−0.100180	−	0.994969i	$-0.531942\pi$
$113$	6.23100	−	2.84560i	0.586163	−	0.267692i	0.686344	+	0.727277i	$0.259215\pi$
$114$	3.54493	+	2.04667i	0.332013	+	0.191688i
$115$	11.5723	−	11.4294i	1.07912	−	1.06579i
$116$	−1.27960	−	2.21633i	−0.118808	−	0.205781i
$117$	−0.0744071	+	0.779226i	−0.00687893	+	0.0720395i
$118$	−1.70508	−	5.80696i	−0.156965	−	0.534574i
$119$	−2.20656	−	1.97520i	−0.202275	−	0.181066i
$120$	−1.83357	+	2.85309i	−0.167381	+	0.260451i
$121$	−22.4483	+	4.32656i	−2.04076	+	0.393323i
$122$	11.7980	−	9.27802i	1.06814	−	0.839992i
$123$	−1.64294	−	6.77229i	−0.148139	−	0.610637i
$124$	3.58778	−	0.170907i	0.322192	−	0.0153479i
$125$	0.725018	−	5.04261i	0.0648475	−	0.451025i
$126$	−2.38862	−	1.13776i	−0.212795	−	0.101360i
$127$	−7.65423	+	16.7604i	−0.679203	+	1.48725i	0.184282	+	0.982873i	$0.441004\pi$
$127$	−7.65423	+	16.7604i	−0.679203	+	1.48725i	−0.863485	+	0.504374i	$0.831723\pi$
$128$	0.786053	+	0.618159i	0.0694779	+	0.0546381i
$129$	−4.53336	−	2.33711i	−0.399140	−	0.205771i
$130$	−2.57992	+	0.625881i	−0.226274	+	0.0548934i
$131$	6.36667	−	15.9032i	0.556259	−	1.38947i	−0.337673	−	0.941264i	$-0.609640\pi$
$131$	6.36667	−	15.9032i	0.556259	−	1.38947i	0.893931	−	0.448204i	$-0.147936\pi$
$132$	−3.81067	−	4.39775i	−0.331677	−	0.382775i
$133$	−10.8079	−	0.689729i	−0.937168	−	0.0598071i
$134$	8.57477	+	7.43008i	0.740748	+	0.641861i
$135$	3.29588	+	0.799572i	0.283664	+	0.0688162i
$136$	0.649276	−	0.911780i	0.0556749	−	0.0781845i
$137$	−1.33589	+	0.771279i	−0.114133	+	0.0658948i	−0.555980	−	0.831196i	$-0.687657\pi$
$137$	−1.33589	+	0.771279i	−0.114133	+	0.0658948i	0.441847	+	0.897091i	$0.354324\pi$
$138$	−2.52148	+	4.07948i	−0.214642	+	0.347268i
$139$			0.408192i			0.0346224i	0.999850	+	0.0173112i	$0.00551060\pi$
$139$			0.408192i			0.0346224i	−0.999850	+	0.0173112i	$0.994489\pi$
$140$	0.996906	−	8.91746i	0.0842539	−	0.753663i
$141$	−8.74531	+	2.56786i	−0.736488	+	0.216252i
$142$	1.96189	+	5.66850i	0.164638	+	0.475690i
$143$	0.216735	−	4.54983i	0.0181243	−	0.380476i
$144$	0.327068	−	0.945001i	0.0272557	−	0.0787501i
$145$	−8.05775	−	3.22584i	−0.669160	−	0.267891i
$146$	−3.95885	+	13.4826i	−0.327637	+	1.11583i
$147$	6.99918	−	0.107368i	0.577282	−	0.00885553i
$148$	−9.15438	−	1.31620i	−0.752486	−	0.108191i
$149$	9.13935	−	6.50810i	0.748724	−	0.533164i	−0.140808	−	0.990037i	$-0.544970\pi$
$149$	9.13935	−	6.50810i	0.748724	−	0.533164i	0.889532	+	0.456873i	$0.151031\pi$
$150$	0.618067	+	6.47269i	0.0504650	+	0.528493i
$151$	−16.7232	+	6.69495i	−1.36091	+	0.544827i	−0.933288	−	0.359130i	$-0.883074\pi$
$151$	−16.7232	+	6.69495i	−1.36091	+	0.544827i	−0.427624	+	0.903957i	$0.640649\pi$
$152$	−0.194769	−	4.08869i	−0.0157978	−	0.331637i
$153$	−1.07399	−	0.315352i	−0.0868270	−	0.0254947i
$154$	14.1988	+	5.95183i	1.14417	+	0.479612i
$155$	9.20629	−	7.97730i	0.739467	−	0.640752i
$156$	0.695754	−	0.358686i	0.0557049	−	0.0287179i
$157$	−7.39425	−	1.42512i	−0.590125	−	0.113737i	−0.114558	−	0.993417i	$-0.536545\pi$
$157$	−7.39425	−	1.42512i	−0.590125	−	0.113737i	−0.475567	+	0.879679i	$0.657757\pi$
$158$	−7.68402	+	8.05877i	−0.611308	+	0.641122i
$159$	7.45279	+	0.711655i	0.591044	+	0.0564379i
$160$	3.39148			0.268120
$161$	1.18775	−	12.6329i	0.0936077	−	0.995609i
$162$	−1.00000			−0.0785674
$163$	2.03109	+	0.193946i	0.159088	+	0.0151910i	0.174296	−	0.984693i	$-0.444235\pi$
$163$	2.03109	+	0.193946i	0.159088	+	0.0151910i	−0.0152083	+	0.999884i	$0.504841\pi$
$164$	−4.80898	+	5.04351i	−0.375518	+	0.393832i
$165$	−19.3786	−	3.73492i	−1.50862	−	0.290763i
$166$	−8.10585	+	4.17886i	−0.629136	+	0.324342i
$167$	3.54631	−	3.07289i	0.274421	−	0.237787i	−0.506767	−	0.862083i	$-0.669159\pi$
$167$	3.54631	−	3.07289i	0.274421	−	0.237787i	0.781188	+	0.624296i	$0.214614\pi$
$168$	0.334240	+	2.62455i	0.0257871	+	0.202489i
$169$	−11.8855	−	3.48990i	−0.914269	−	0.268454i
$170$	−0.180630	−	3.79189i	−0.0138537	−	0.290825i
$171$	−3.80012	+	1.52134i	−0.290602	+	0.116340i
$172$	0.484818	+	5.07724i	0.0369670	+	0.387136i
$173$	5.60068	−	3.98822i	0.425812	−	0.303219i	−0.346988	−	0.937870i	$-0.612795\pi$
$173$	5.60068	−	3.98822i	0.425812	−	0.303219i	0.772799	+	0.634651i	$0.218856\pi$
$174$	2.53315	+	0.364212i	0.192038	+	0.0276109i
$175$	−9.06602	−	14.6202i	−0.685327	−	1.10519i
$176$	−1.63942	+	5.58335i	−0.123576	+	0.420861i
$177$	5.61858	+	2.24934i	0.422319	+	0.169071i
$178$	1.43844	−	4.15609i	0.107815	−	0.311512i
$179$	0.382264	−	8.02471i	0.0285718	−	0.599795i	−0.938498	−	0.345284i	$-0.887783\pi$
$179$	0.382264	−	8.02471i	0.0285718	−	0.599795i	0.967070	−	0.254511i	$-0.0819144\pi$
$180$	−1.10924	−	3.20495i	−0.0826782	−	0.238883i
$181$	3.88929	−	1.14200i	0.289089	−	0.0848841i	−0.133973	−	0.990985i	$-0.542774\pi$
$181$	3.88929	−	1.14200i	0.289089	−	0.0848841i	0.423062	+	0.906101i	$0.360955\pi$
$182$	−1.22836	+	1.66740i	−0.0910522	+	0.123596i
$183$			15.0091i			1.10951i
$184$	4.79509	−	0.0843321i	0.353499	−	0.00621705i
$185$	−27.1639	+	15.6831i	−1.99713	+	1.15304i
$186$	−2.08347	+	2.92583i	−0.152768	+	0.214532i
$187$	6.32985	+	1.53560i	0.462884	+	0.112295i
$188$	6.88829	+	5.96874i	0.502380	+	0.435315i
$189$	2.37089	−	1.17426i	0.172457	−	0.0854152i
$190$	−9.09107	−	10.4917i	−0.659536	−	0.761145i
$191$	−8.63369	+	21.5659i	−0.624712	+	1.56045i	0.190747	+	0.981639i	$0.438909\pi$
$191$	−8.63369	+	21.5659i	−0.624712	+	1.56045i	−0.815459	+	0.578815i	$0.803515\pi$
$192$	−0.971812	+	0.235759i	−0.0701345	+	0.0170144i
$193$	−21.9874	−	11.3353i	−1.58269	−	0.815934i	−0.999995	−	0.00324395i	$-0.998967\pi$
$193$	−21.9874	−	11.3353i	−1.58269	−	0.815934i	−0.582696	−	0.812690i	$-0.698002\pi$
$194$	−0.0885161	−	0.0696098i	−0.00635508	−	0.00499769i
$195$	1.10282	−	2.41485i	0.0789748	−	0.172931i
$196$	−3.87436	−	5.83003i	−0.276740	−	0.416431i
$197$	−1.19938	+	8.34189i	−0.0854524	+	0.594335i	0.901434	+	0.432917i	$0.142516\pi$
$197$	−1.19938	+	8.34189i	−0.0854524	+	0.594335i	−0.986886	+	0.161418i	$0.948393\pi$
$198$	5.81247	−	0.276882i	0.413074	−	0.0196771i
$199$	−0.683999	−	2.81948i	−0.0484874	−	0.199868i	0.942416	−	0.334443i	$-0.108548\pi$
$199$	−0.683999	−	2.81948i	−0.0484874	−	0.199868i	−0.990903	+	0.134575i	$0.957033\pi$
$200$	5.11102	−	4.01935i	0.361404	−	0.284211i
$201$	−11.1410	+	2.14725i	−0.785826	+	0.151456i
$202$	−5.10203	+	7.93891i	−0.358977	+	0.558580i
$203$	−6.43350	+	2.11108i	−0.451543	+	0.148169i
$204$	0.315352	+	1.07399i	0.0220791	+	0.0751944i
$205$	−2.24658	+	23.5273i	−0.156908	+	1.64322i
$206$	−0.977109	−	1.69240i	−0.0680784	−	0.117915i
$207$	−1.64801	−	4.50378i	−0.114545	−	0.313034i
$208$	−0.677899	−	0.391385i	−0.0470038	−	0.0271377i
$209$	21.6668	−	9.89491i	1.49873	−	0.684445i
$210$	6.39335	+	6.29603i	0.441183	+	0.434467i
$211$	−10.7604	+	12.4182i	−0.740777	+	0.854902i	−0.993640	−	0.112600i	$-0.964082\pi$
$211$	−10.7604	+	12.4182i	−0.740777	+	0.854902i	0.252864	+	0.967502i	$0.418628\pi$
$212$	−3.43060	−	6.65443i	−0.235614	−	0.457028i
$213$	−5.66850	−	1.96189i	−0.388399	−	0.134426i
$214$	−7.61464	−	9.68280i	−0.520526	−	0.661903i
$215$	11.9368	+	12.5189i	0.814081	+	0.853784i
$216$	0.540641	+	0.841254i	0.0367859	+	0.0572401i
$217$	1.50398	−	9.38336i	0.102097	−	0.636984i
$218$	−16.5754	−	7.56974i	−1.12263	−	0.512687i
$219$	−8.15084	−	11.4463i	−0.550783	−	0.773466i
$220$	7.33484	+	18.3215i	0.494515	+	1.23524i
$221$	−0.401489	+	0.778779i	−0.0270070	+	0.0523864i
$222$	6.69347	−	6.38221i	0.449236	−	0.428346i
$223$	−8.03109	+	1.15470i	−0.537801	+	0.0773242i	−0.405863	−	0.913934i	$-0.633029\pi$
$223$	−8.03109	+	1.15470i	−0.537801	+	0.0773242i	−0.131938	+	0.991258i	$0.542120\pi$
$224$	2.02721	−	1.70012i	0.135449	−	0.113594i
$225$	−5.46994	−	3.51532i	−0.364663	−	0.234355i
$226$	6.47328	−	2.24042i	0.430596	−	0.149031i
$227$	−11.5958	−	11.0566i	−0.769639	−	0.733850i	0.199625	−	0.979872i	$-0.436028\pi$
$227$	−11.5958	−	11.0566i	−0.769639	−	0.733850i	−0.969264	+	0.246023i	$0.920876\pi$
$228$	3.33433	+	2.37436i	0.220821	+	0.157246i
$229$	0.595186	−	1.03089i	0.0393310	−	0.0681233i	−0.845690	−	0.533675i	$-0.820811\pi$
$229$	0.595186	−	1.03089i	0.0393310	−	0.0681233i	0.885021	+	0.465551i	$0.154144\pi$
$230$	12.6063	−	10.2776i	0.831238	−	0.677685i
$231$	−13.4556	+	7.48183i	−0.885312	+	0.492268i
$232$	−1.06313	−	2.32793i	−0.0697980	−	0.152836i
$233$	1.56592	−	6.45479i	0.102587	−	0.422868i	−0.897239	−	0.441545i	$-0.854430\pi$
$233$	1.56592	−	6.45479i	0.102587	−	0.422868i	0.999826	+	0.0186776i	$0.00594563\pi$
$234$	−0.148140	+	0.768625i	−0.00968423	+	0.0502466i
$235$	30.8767	+	1.47084i	2.01417	+	0.0959469i
$236$	−1.14537	−	5.94274i	−0.0745572	−	0.386839i
$237$	−1.58467	−	11.0217i	−0.102936	−	0.715933i
$238$	−2.00881	−	2.17600i	−0.130212	−	0.141049i
$239$	7.72766	−	4.96626i	0.499861	−	0.321241i	−0.266300	−	0.963890i	$-0.585801\pi$
$239$	7.72766	−	4.96626i	0.499861	−	0.321241i	0.766160	+	0.642649i	$0.222165\pi$
$240$	−2.09647	+	2.66588i	−0.135327	+	0.172082i
$241$	15.8063	−	1.50932i	1.01817	−	0.0972237i	0.427401	−	0.904062i	$-0.359429\pi$
$241$	15.8063	−	1.50932i	1.01817	−	0.0972237i	0.590772	+	0.806839i	$0.298823\pi$
$242$	−22.7579	+	2.17312i	−1.46294	+	0.139693i
$243$	0.618159	−	0.786053i	0.0396549	−	0.0504253i
$244$	12.6265	−	8.11454i	0.808327	−	0.519480i
$245$	−22.5511	−	7.41969i	−1.44074	−	0.474027i
$246$	−0.991754	−	6.89780i	−0.0632319	−	0.439788i
$247$	0.606387	+	3.14624i	0.0385835	+	0.200190i
$248$	3.58778	+	0.170907i	0.227824	+	0.0108526i
$249$	1.72590	−	8.95483i	0.109375	−	0.567489i
$250$	1.20106	−	4.95086i	0.0759620	−	0.313120i
$251$	−11.3668	−	24.8898i	−0.717467	−	1.57103i	−0.817421	−	0.576041i	$-0.804597\pi$
$251$	−11.3668	−	24.8898i	−0.717467	−	1.57103i	0.0999541	−	0.994992i	$-0.468130\pi$
$252$	−2.26965	−	1.35966i	−0.142975	−	0.0856506i
$253$	10.8260	+	25.7218i	0.680628	+	1.61711i
$254$	−9.21275	+	15.9570i	−0.578060	+	1.00123i
$255$	3.09228	+	2.20201i	0.193646	+	0.137895i
$256$	0.723734	+	0.690079i	0.0452334	+	0.0431299i
$257$	−7.17878	+	2.48460i	−0.447800	+	0.154985i	−0.541655	−	0.840601i	$-0.682202\pi$
$257$	−7.17878	+	2.48460i	−0.447800	+	0.154985i	0.0938552	+	0.995586i	$0.470081\pi$
$258$	−4.29068	−	2.75745i	−0.267126	−	0.171671i
$259$	−8.37506	+	22.9914i	−0.520401	+	1.42862i
$260$	−2.62773	+	0.377810i	−0.162965	+	0.0234308i
$261$	−1.85218	+	1.76605i	−0.114647	+	0.109316i
$262$	7.84954	−	15.2260i	0.484946	−	0.940664i
$263$	8.39506	+	20.9698i	0.517661	+	1.29306i	0.925065	+	0.379808i	$0.124010\pi$
$263$	8.39506	+	20.9698i	0.517661	+	1.29306i	−0.407404	+	0.913248i	$0.633566\pi$
$264$	−3.37539	−	4.74007i	−0.207741	−	0.291731i
$265$	−23.0964	−	10.5478i	−1.41880	−	0.647945i
$266$	−10.6934	−	1.71397i	−0.655657	−	0.105090i
$267$	2.37772	+	3.69981i	0.145514	+	0.226425i
$268$	7.82967	+	8.21152i	0.478273	+	0.501599i
$269$	8.69273	+	11.0537i	0.530005	+	0.673956i	0.975161	−	0.221497i	$-0.0710943\pi$
$269$	8.69273	+	11.0537i	0.530005	+	0.673956i	−0.445156	+	0.895453i	$0.646852\pi$
$270$	3.20495	+	1.10924i	0.195047	+	0.0675065i
$271$	7.53502	+	14.6159i	0.457720	+	0.887853i	0.998898	+	0.0469444i	$0.0149484\pi$
$271$	7.53502	+	14.6159i	0.457720	+	0.887853i	−0.541178	+	0.840908i	$0.682021\pi$
$272$	0.733006	−	0.845934i	0.0444450	−	0.0512923i
$273$	−0.551345	−	1.99628i	−0.0333689	−	0.120820i
$274$	−1.40316	+	0.640802i	−0.0847680	+	0.0387122i
$275$	32.7672	+	18.9182i	1.97594	+	1.14081i
$276$	−2.89784	+	3.82133i	−0.174429	+	0.230017i
$277$	11.5719	+	20.0432i	0.695290	+	1.20428i	0.970083	+	0.242774i	$0.0780574\pi$
$277$	11.5719	+	20.0432i	0.695290	+	1.20428i	−0.274793	+	0.961504i	$0.588609\pi$
$278$	−0.0388011	+	0.406344i	−0.00232714	+	0.0243709i
$279$	−1.01194	−	3.44635i	−0.0605832	−	0.206328i
$280$	1.84005	−	8.78232i	0.109964	−	0.524844i
$281$	5.93750	−	9.23892i	0.354201	−	0.551148i	−0.617737	−	0.786385i	$-0.711950\pi$
$281$	5.93750	−	9.23892i	0.354201	−	0.551148i	0.971938	+	0.235237i	$0.0755866\pi$
$282$	−8.94980	+	1.72493i	−0.532953	+	0.102718i
$283$	11.5326	−	9.06931i	0.685540	−	0.539115i	−0.213521	−	0.976939i	$-0.568493\pi$
$283$	11.5326	−	9.06931i	0.685540	−	0.539115i	0.899061	+	0.437824i	$0.144251\pi$
$284$	1.41418	+	5.82932i	0.0839161	+	0.345907i
$285$	13.8667	−	0.660554i	0.821394	−	0.0391278i
$286$	0.648242	−	4.50862i	0.0383314	−	0.266601i
$287$	10.4512	+	15.1893i	0.616913	+	0.896597i
$288$	0.415415	−	0.909632i	0.0244786	−	0.0536006i
$289$	12.3781	+	9.73421i	0.728121	+	0.572601i
$290$	−7.71463	−	3.97717i	−0.453019	−	0.233547i
$291$	0.109434	−	0.0265484i	0.00641514	−	0.00155629i
$292$	−5.22252	+	13.0452i	−0.305625	+	0.763415i
$293$	9.12298	+	10.5285i	0.532970	+	0.615080i	0.956830	−	0.290647i	$-0.0938707\pi$
$293$	9.12298	+	10.5285i	0.532970	+	0.615080i	−0.423860	+	0.905728i	$0.639325\pi$
$294$	6.97769	+	0.558433i	0.406947	+	0.0325684i
$295$	−15.5122	−	13.4414i	−0.903156	−	0.782589i
$296$	−8.98782	−	2.18042i	−0.522406	−	0.126734i
$297$	−3.37539	+	4.74007i	−0.195860	+	0.275046i
$298$	9.71660	−	5.60988i	0.562867	−	0.324972i
$299$	−3.70586	+	0.599513i	−0.214315	+	0.0346707i
$300$			6.50214i			0.375401i
$301$	13.4107	+	1.49921i	0.772979	+	0.0864133i
$302$	−17.2838	+	5.07499i	−0.994573	+	0.292033i
$303$	−3.08654	−	8.91797i	−0.177317	−	0.512324i
$304$	0.194769	−	4.08869i	0.0111707	−	0.234503i
$305$	16.6488	−	48.1035i	0.953306	−	2.75440i
$306$	−1.03915	−	0.416013i	−0.0594043	−	0.0237819i
$307$	3.90626	−	13.3035i	0.222942	−	0.759271i	−0.769723	−	0.638377i	$-0.779606\pi$
$307$	3.90626	−	13.3035i	0.222942	−	0.759271i	0.992665	−	0.120893i	$-0.0385759\pi$
$308$	13.5687	+	7.27456i	0.773151	+	0.414507i
$309$	1.93433	+	0.278114i	0.110040	+	0.0158214i
$310$	9.92290	−	7.06606i	0.563583	−	0.401325i
$311$	−1.52913	−	16.0138i	−0.0867091	−	0.908059i	−0.929256	−	0.369436i	$-0.879551\pi$
$311$	−1.52913	−	16.0138i	−0.0867091	−	0.908059i	0.842547	−	0.538623i	$-0.181055\pi$
$312$	0.726699	−	0.290926i	0.0411412	−	0.0164705i
$313$	1.09695	+	23.0278i	0.0620033	+	1.30161i	0.788755	+	0.614708i	$0.210726\pi$
$313$	1.09695	+	23.0278i	0.0620033	+	1.30161i	−0.726751	+	0.686901i	$0.758971\pi$
$314$	−7.22530	−	2.12154i	−0.407747	−	0.119725i
$315$	−8.90112	+	1.13357i	−0.501521	+	0.0638692i
$316$	−8.41527	+	7.29187i	−0.473396	+	0.410200i
$317$	16.4813	−	8.49672i	0.925685	−	0.477224i	0.0716442	−	0.997430i	$-0.477175\pi$
$317$	16.4813	−	8.49672i	0.925685	−	0.477224i	0.854040	+	0.520207i	$0.174145\pi$
$318$	7.35139	+	1.41686i	0.412246	+	0.0794538i
$319$	10.2768	−	10.7780i	0.575388	−	0.603450i
$320$	3.37612	+	0.322381i	0.188731	+	0.0180216i
$321$	12.3183			0.687538
$322$	2.38320	−	12.4628i	0.132811	−	0.694522i
$323$	−4.58179			−0.254938
$324$	−0.995472	−	0.0950560i	−0.0553040	−	0.00528089i
$325$	−3.51228	+	3.68357i	−0.194826	+	0.204328i
$326$	2.00346	+	0.386136i	0.110962	+	0.0213861i
$327$	16.1965	−	8.34985i	0.895666	−	0.461748i
$328$	−5.26662	+	4.56355i	−0.290800	+	0.251980i
$329$	19.1934	−	14.5991i	1.05817	−	0.804872i
$330$	−18.9358	−	5.56005i	−1.04238	−	0.306071i
$331$	0.000511582		0.0107394i	2.81191e−5		0.000590292i	0.998881	−	0.0472868i	$-0.0150575\pi$
$331$	0.000511582		0.0107394i	2.81191e−5		0.000590292i	−0.998853	+	0.0478771i	$0.984754\pi$
$332$	−8.46637	+	3.38942i	−0.464652	+	0.186019i
$333$	0.879128	+	9.20664i	0.0481759	+	0.504521i
$334$	3.82234	−	2.72188i	0.209149	−	0.148935i
$335$	38.0882	+	5.47626i	2.08098	+	0.299200i
$336$	0.0832464	+	2.64444i	0.00454146	+	0.144266i
$337$	−3.16055	+	10.7638i	−0.172166	+	0.586344i	0.827524	+	0.561431i	$0.189749\pi$
$337$	−3.16055	+	10.7638i	−0.172166	+	0.586344i	−0.999690	+	0.0249126i	$0.992069\pi$
$338$	−11.4999	−	4.60388i	−0.625515	−	0.250418i
$339$	−2.24042	+	6.47328i	−0.121683	+	0.351580i
$340$	0.180630	−	3.79189i	0.00979603	−	0.205644i
$341$	6.83610	+	19.7516i	0.370196	+	1.06961i
$342$	−3.92752	+	1.15322i	−0.212376	+	0.0623592i
$343$	−17.1991	+	6.86967i	−0.928662	+	0.370927i
$344$			5.10034i			0.274992i
$345$	0.286011	+	16.2625i	0.0153983	+	0.875541i
$346$	5.95442	−	3.43779i	0.320112	−	0.184817i
$347$	−7.20910	+	10.1238i	−0.387005	+	0.543472i	−0.961417	−	0.275094i	$-0.911291\pi$
$347$	−7.20910	+	10.1238i	−0.387005	+	0.543472i	0.574413	+	0.818566i	$0.305231\pi$
$348$	2.48706	+	0.603355i	0.133321	+	0.0323432i
$349$	−24.5400	−	21.2641i	−1.31360	−	1.13824i	−0.980752	−	0.195257i	$-0.937446\pi$
$349$	−24.5400	−	21.2641i	−1.31360	−	1.13824i	−0.332845	−	0.942981i	$-0.608009\pi$
$350$	−7.63522	−	15.4158i	−0.408120	−	0.824011i
$351$	−0.512606	−	0.591578i	−0.0273609	−	0.0315761i
$352$	−2.16273	+	5.40223i	−0.115274	+	0.287940i
$353$	−21.7904	+	5.28629i	−1.15979	+	0.281361i	−0.769079	−	0.639154i	$-0.779285\pi$
$353$	−21.7904	+	5.28629i	−1.15979	+	0.281361i	−0.390707	+	0.920515i	$0.627769\pi$
$354$	5.37933	+	2.77324i	0.285908	+	0.147396i
$355$	15.9911	+	12.5755i	0.848717	+	0.667439i
$356$	1.82698	−	4.00054i	0.0968299	−	0.212028i
$357$	2.95222	−	0.233917i	0.156248	−	0.0123802i
$358$	1.14333	−	7.95204i	0.0604269	−	0.420278i
$359$	−0.483834	+	0.0230479i	−0.0255358	+	0.00121642i	−0.0603459	−	0.998178i	$-0.519220\pi$
$359$	−0.483834	+	0.0230479i	−0.0255358	+	0.00121642i	0.0348101	+	0.999394i	$0.488917\pi$
$360$	−0.799572	−	3.29588i	−0.0421411	−	0.173708i
$361$	1.76441	−	1.38755i	0.0928636	−	0.0730287i
$362$	3.98023	−	0.767127i	0.209196	−	0.0403193i
$363$	12.3598	−	19.2323i	0.648723	−	1.00943i
$364$	−1.38130	+	1.54309i	−0.0723996	+	0.0808799i
$365$	13.4264	+	45.7260i	0.702767	+	2.39341i
$366$	−1.42671	+	14.9411i	−0.0745751	+	0.780986i
$367$	14.2713	+	24.7186i	0.744954	+	1.29030i	0.950216	+	0.311592i	$0.100862\pi$
$367$	14.2713	+	24.7186i	0.744954	+	1.29030i	−0.205262	+	0.978707i	$0.565805\pi$
$368$	4.78139	+	0.371852i	0.249247	+	0.0193841i
$369$	6.03510	+	3.48437i	0.314175	+	0.181389i
$370$	−28.5317	+	13.0300i	−1.48329	+	0.677396i
$371$	−19.0931	+	5.27325i	−0.991264	+	0.273774i
$372$	−2.35216	+	2.71454i	−0.121954	+	0.140742i
$373$	−5.74388	−	11.1416i	−0.297407	−	0.576889i	0.692027	−	0.721871i	$-0.256718\pi$
$373$	−5.74388	−	11.1416i	−0.297407	−	0.576889i	−0.989434	+	0.144982i	$0.953687\pi$
$374$	6.15522	+	2.13034i	0.318279	+	0.110157i
$375$	3.14919	+	4.00452i	0.162623	+	0.206792i
$376$	6.28973	+	6.59648i	0.324368	+	0.340188i
$377$	1.08305	+	1.68526i	0.0557798	+	0.0867951i
$378$	2.47177	−	0.943580i	0.127134	−	0.0485325i
$379$	−3.79005	−	1.73086i	−0.194682	−	0.0889083i	0.315689	−	0.948863i	$-0.397764\pi$
$379$	−3.79005	−	1.73086i	−0.194682	−	0.0889083i	−0.510371	+	0.859955i	$0.670492\pi$
$380$	−8.05261	−	11.3083i	−0.413090	−	0.580104i
$381$	−6.84807	−	17.1056i	−0.350837	−	0.876349i
$382$	−10.6446	+	20.6476i	−0.544623	+	1.05642i
$383$	−8.36656	+	7.97750i	−0.427511	+	0.407631i	−0.873049	−	0.487632i	$-0.837861\pi$
$383$	−8.36656	+	7.97750i	−0.427511	+	0.407631i	0.445538	+	0.895263i	$0.353012\pi$
$384$	−0.989821	+	0.142315i	−0.0505116	+	0.00726247i
$385$	51.4236	−	9.05338i	2.62079	−	0.461403i
$386$	−20.8104	−	13.3740i	−1.05922	−	0.680720i
$387$	4.81982	−	1.66816i	0.245005	−	0.0847972i
$388$	−0.0814984	−	0.0777086i	−0.00413746	−	0.00394506i
$389$	−25.4705	−	18.1374i	−1.29140	−	0.919605i	−0.292081	−	0.956393i	$-0.594348\pi$
$389$	−25.4705	−	18.1374i	−1.29140	−	0.919605i	−0.999323	+	0.0367885i	$0.988287\pi$
$390$	1.32737	−	2.29908i	0.0672142	−	0.116418i
$391$	0.161097	−	5.36571i	0.00814705	−	0.271355i
$392$	−3.30264	−	6.17192i	−0.166809	−	0.311729i
$393$	7.11617	+	15.5822i	0.358963	+	0.786020i
$394$	−1.98690	+	8.19011i	−0.100098	+	0.412612i
$395$	−7.14690	+	37.0817i	−0.359600	+	1.86578i
$396$	5.81247	+	0.276882i	0.292088	+	0.0139138i
$397$	−4.58161	−	23.7716i	−0.229944	−	1.19306i	−0.894929	−	0.446208i	$-0.852774\pi$
$397$	−4.58161	−	23.7716i	−0.229944	−	1.19306i	0.664985	−	0.746857i	$-0.268438\pi$
$398$	−0.412893	−	2.87173i	−0.0206965	−	0.143947i
$399$	7.95752	−	7.34611i	0.398374	−	0.367766i
$400$	5.46994	−	3.51532i	0.273497	−	0.175766i
$401$	14.6110	−	18.5794i	0.729639	−	0.927812i	−0.269744	−	0.962932i	$-0.586939\pi$
$401$	14.6110	−	18.5794i	0.729639	−	0.927812i	0.999383	+	0.0351205i	$0.0111815\pi$
$402$	−11.2947	+	1.07851i	−0.563327	+	0.0537912i
$403$	−2.79886	+	0.267259i	−0.139421	+	0.0133131i
$404$	−5.83357	+	7.41798i	−0.290231	+	0.369059i
$405$	−2.85309	+	1.83357i	−0.141771	+	0.0911109i
$406$	−6.60504	+	1.48998i	−0.327803	+	0.0739466i
$407$	−7.65906	−	53.2699i	−0.379645	−	2.64049i
$408$	0.211835	+	1.09910i	0.0104874	+	0.0544137i
$409$	4.35526	+	0.207467i	0.215354	+	0.0102586i	0.154982	−	0.987917i	$-0.450468\pi$
$409$	4.35526	+	0.207467i	0.215354	+	0.0102586i	0.0603723	+	0.998176i	$0.480771\pi$
$410$	−4.47282	+	23.2072i	−0.220897	+	1.14612i
$411$	0.363672	−	1.49908i	0.0179386	−	0.0739439i
$412$	−0.811811	−	1.77762i	−0.0399951	−	0.0875770i
$413$	−16.0103	−	0.258277i	−0.787815	−	0.0127090i
$414$	−1.21244	−	4.64004i	−0.0595882	−	0.228046i
$415$	−15.4645	+	26.7853i	−0.759123	+	1.31484i
$416$	−0.637626	−	0.454051i	−0.0312622	−	0.0222617i
$417$	−0.295423	−	0.281685i	−0.0144669	−	0.0137942i
$418$	22.5093	−	7.79054i	1.10097	−	0.381048i
$419$	11.5474	+	7.42105i	0.564126	+	0.362542i	0.791409	−	0.611287i	$-0.209348\pi$
$419$	11.5474	+	7.42105i	0.564126	+	0.362542i	−0.227283	+	0.973829i	$0.572984\pi$
$420$	5.76593	+	6.87525i	0.281348	+	0.335478i
$421$	7.65411	−	1.10049i	0.373038	−	0.0536348i	0.0467539	−	0.998906i	$-0.485112\pi$
$421$	7.65411	−	1.10049i	0.373038	−	0.0536348i	0.326284	+	0.945272i	$0.394203\pi$
$422$	−11.8921	+	11.3391i	−0.578898	+	0.551979i
$423$	4.17651	−	8.10130i	0.203069	−	0.393899i
$424$	−2.78252	−	6.95040i	−0.135131	−	0.337541i
$425$	−4.22168	−	5.92852i	−0.204782	−	0.287575i
$426$	−5.45634	−	2.49183i	−0.264361	−	0.120730i
$427$	−14.1623	−	37.0991i	−0.685361	−	1.79535i
$428$	−6.65975	−	10.3628i	−0.321911	−	0.500904i
$429$	3.14330	+	3.29660i	0.151760	+	0.159161i
$430$	10.6927	+	13.5969i	0.515649	+	0.655701i
$431$	14.1527	+	4.89829i	0.681710	+	0.235942i	0.645906	−	0.763417i	$-0.276480\pi$
$431$	14.1527	+	4.89829i	0.681710	+	0.235942i	0.0358040	+	0.999359i	$0.488601\pi$
$432$	0.458227	+	0.888835i	0.0220464	+	0.0427641i
$433$	11.1530	−	12.8713i	0.535981	−	0.618555i	−0.421578	−	0.906792i	$-0.638524\pi$
$433$	11.1530	−	12.8713i	0.535981	−	0.618555i	0.957559	+	0.288237i	$0.0930691\pi$
$434$	2.38912	−	9.19791i	0.114681	−	0.441514i
$435$	7.89513	−	3.60559i	0.378543	−	0.172875i
$436$	−15.7808	−	9.11105i	−0.755764	−	0.436340i
$437$	−11.6665	−	15.7882i	−0.558084	−	0.755251i
$438$	−7.02590	−	12.1692i	−0.335710	−	0.581467i
$439$	−2.94064	+	30.7958i	−0.140349	+	1.46980i	0.601304	+	0.799020i	$0.294648\pi$
$439$	−2.94064	+	30.7958i	−0.140349	+	1.46980i	−0.741653	+	0.670783i	$0.765958\pi$
$440$	5.56005	+	18.9358i	0.265065	+	0.902729i
$441$	−4.75228	+	5.13963i	−0.226299	+	0.244744i
$442$	−0.473698	+	0.737089i	−0.0225315	+	0.0350597i
$443$	19.0582	−	3.67317i	0.905484	−	0.174518i	0.284808	−	0.958585i	$-0.408070\pi$
$443$	19.0582	−	3.67317i	0.905484	−	0.174518i	0.620676	+	0.784067i	$0.286858\pi$
$444$	7.26983	−	5.71706i	0.345011	−	0.271319i
$445$	−3.51649	−	14.4952i	−0.166698	−	0.687138i
$446$	−8.10448	+	0.386064i	−0.383758	+	0.0182807i
$447$	−1.59674	+	11.1056i	−0.0755231	+	0.525275i
$448$	2.17964	−	1.49972i	0.102978	−	0.0708553i
$449$	10.7388	−	23.5148i	0.506797	−	1.10973i	−0.467403	−	0.884045i	$-0.654810\pi$
$449$	10.7388	−	23.5148i	0.506797	−	1.10973i	0.974200	−	0.225687i	$-0.0724626\pi$
$450$	−5.11102	−	4.01935i	−0.240936	−	0.189474i
$451$	−36.0436	−	18.5818i	−1.69723	−	0.874981i
$452$	6.65693	−	1.61495i	0.313116	−	0.0759611i
$453$	6.69495	−	16.7232i	0.314556	−	0.785723i
$454$	−10.4923	−	12.1087i	−0.492427	−	0.568292i
$455$	−0.447327	+	7.00955i	−0.0209710	+	0.328613i
$456$	3.09353	+	2.68056i	0.144868	+	0.125529i
$457$	−23.2874	−	5.64945i	−1.08934	−	0.264270i	−0.349418	−	0.936967i	$-0.613621\pi$
$457$	−23.2874	−	5.64945i	−1.08934	−	0.264270i	−0.739918	+	0.672697i	$0.765136\pi$
$458$	0.690484	−	0.969649i	0.0322642	−	0.0453087i
$459$	0.969369	−	0.559666i	0.0452463	−	0.0261230i
$460$	13.5262	−	9.03275i	0.630663	−	0.421154i
$461$			3.62071i			0.168633i	0.996439	+	0.0843167i	$0.0268707\pi$
$461$			3.62071i			0.168633i	−0.996439	+	0.0843167i	$0.973129\pi$
$462$	−14.1058	+	6.16892i	−0.656263	+	0.287004i
$463$	11.5642	−	3.39555i	0.537434	−	0.157805i	−0.00174147	−	0.999998i	$-0.500554\pi$
$463$	11.5642	−	3.39555i	0.537434	−	0.157805i	0.539175	+	0.842194i	$0.318736\pi$
$464$	−0.837033	−	2.41845i	−0.0388583	−	0.112274i
$465$	−0.579627	+	12.1679i	−0.0268796	+	0.564272i
$466$	2.17239	−	6.27672i	0.100634	−	0.290763i
$467$	0.565328	+	0.226323i	0.0261602	+	0.0104730i	0.384706	−	0.923039i	$-0.374303\pi$
$467$	0.565328	+	0.226323i	0.0261602	+	0.0104730i	−0.358545	+	0.933512i	$0.616727\pi$
$468$	−0.220532	+	0.751063i	−0.0101941	+	0.0347179i
$469$	25.5119	−	15.8200i	1.17803	−	0.730498i
$470$	30.5971	+	4.39919i	1.41134	+	0.202920i
$471$	6.13403	−	4.36802i	0.282641	−	0.201268i
$472$	−0.575290	−	6.02470i	−0.0264798	−	0.277310i
$473$	−27.5532	+	11.0306i	−1.26690	+	0.507189i
$474$	−0.529824	−	11.1224i	−0.0243356	−	0.510868i
$475$	−25.5373	−	7.49842i	−1.17173	−	0.344051i
$476$	−1.79287	−	2.35710i	−0.0821762	−	0.108037i
$477$	−5.65806	+	4.90274i	−0.259065	+	0.224481i
$478$	8.16474	−	4.20922i	0.373447	−	0.192525i
$479$	33.2665	+	6.41159i	1.51999	+	0.292953i	0.879829	−	0.475291i	$-0.157657\pi$
$479$	33.2665	+	6.41159i	1.51999	+	0.292953i	0.640157	+	0.768244i	$0.278869\pi$
$480$	−2.34039	+	2.45453i	−0.106824	+	0.112033i
$481$	7.20669	+	0.688155i	0.328597	+	0.0313772i
$482$	15.8782			0.723232
$483$	8.32319	+	9.57729i	0.378718	+	0.435782i
$484$	−22.8614			−1.03916
$485$	−0.380179	−	0.0363027i	−0.0172631	−	0.00164842i
$486$	0.690079	−	0.723734i	0.0313026	−	0.0328292i
$487$	−34.2615	−	6.60337i	−1.55254	−	0.299227i	−0.660373	−	0.750937i	$-0.729602\pi$
$487$	−34.2615	−	6.60337i	−1.55254	−	0.299227i	−0.892165	+	0.451710i	$0.850814\pi$
$488$	13.3406	−	6.87757i	0.603902	−	0.311333i
$489$	−1.54198	+	1.33613i	−0.0697308	+	0.0604221i
$490$	−21.7437	−	9.52971i	−0.982281	−	0.430509i
$491$	−15.0182	−	4.40975i	−0.677763	−	0.199009i	−0.0753057	−	0.997160i	$-0.523993\pi$
$491$	−15.0182	−	4.40975i	−0.677763	−	0.199009i	−0.602457	+	0.798151i	$0.705811\pi$
$492$	−0.331586	−	6.96084i	−0.0149490	−	0.313819i
$493$	−2.65940	+	1.06466i	−0.119773	+	0.0479500i
$494$	0.304573	+	3.18963i	0.0137034	+	0.143508i
$495$	16.0758	−	11.4476i	0.722555	−	0.514529i
$496$	3.55529	+	0.511173i	0.159637	+	0.0229523i
$497$	15.8624	−	0.499346i	0.711528	−	0.0223987i
$498$	2.56930	−	8.75022i	0.115133	−	0.392107i
$499$	16.5292	+	6.61731i	0.739951	+	0.296232i	0.710849	−	0.703345i	$-0.248311\pi$
$499$	16.5292	+	6.61731i	0.739951	+	0.296232i	0.0291020	+	0.999576i	$0.490735\pi$
$500$	1.66624	−	4.81427i	0.0745163	−	0.215301i
$501$	−0.223275	+	4.68712i	−0.00997519	+	0.209405i
$502$	−8.94941	−	25.8576i	−0.399432	−	1.15408i
$503$	−15.5128	+	4.55496i	−0.691680	+	0.203095i	−0.608635	−	0.793450i	$-0.708283\pi$
$503$	−15.5128	+	4.55496i	−0.691680	+	0.203095i	−0.0830446	+	0.996546i	$0.526464\pi$
$504$	−2.13013	−	1.56925i	−0.0948836	−	0.0698999i
$505$			32.0054i			1.42422i
$506$	8.33201	+	26.6344i	0.370403	+	1.18404i
$507$	10.7277	−	6.19364i	0.476433	−	0.275069i
$508$	−10.6878	+	15.0090i	−0.474196	+	0.665916i
$509$	9.11282	+	2.21075i	0.403919	+	0.0979896i	0.432571	−	0.901600i	$-0.357606\pi$
$509$	9.11282	+	2.21075i	0.403919	+	0.0979896i	−0.0286524	+	0.999589i	$0.509122\pi$
$510$	2.86897	+	2.48598i	0.127040	+	0.110081i
$511$	30.9475	+	20.6016i	1.36904	+	0.911359i
$512$	0.654861	+	0.755750i	0.0289410	+	0.0333997i
$513$	1.52134	−	3.80012i	0.0671687	−	0.167779i
$514$	−7.38245	+	1.79096i	−0.325626	+	0.0789960i
$515$	−5.89093	−	3.03698i	−0.259585	−	0.133825i
$516$	−4.00914	−	3.15282i	−0.176492	−	0.138795i
$517$	−22.0327	+	48.2450i	−0.968999	+	2.12181i
$518$	−10.5226	+	22.0912i	−0.462337	+	0.970631i
$519$	−0.978496	+	6.80559i	−0.0429512	+	0.298732i
$520$	−2.65174	+	0.126318i	−0.116287	+	0.00553941i
$521$	7.07800	+	29.1759i	0.310093	+	1.27822i	0.887137	+	0.461507i	$0.152691\pi$
$521$	7.07800	+	29.1759i	0.310093	+	1.27822i	−0.577044	+	0.816713i	$0.695794\pi$
$522$	−2.01167	+	1.58199i	−0.0880483	+	0.0692420i
$523$	3.37986	−	0.651415i	0.147791	−	0.0284844i	−0.114819	−	0.993386i	$-0.536629\pi$
$523$	3.37986	−	0.651415i	0.147791	−	0.0284844i	0.262610	+	0.964902i	$0.415417\pi$
$524$	9.26132	−	14.4109i	0.404583	−	0.629543i
$525$	16.8374	+	3.52774i	0.734846	+	0.153963i
$526$	6.36373	+	21.6729i	0.277472	+	0.944983i
$527$	0.382169	−	4.00226i	0.0166476	−	0.174341i
$528$	−2.90953	−	5.03945i	−0.126621	−	0.219314i
$529$	18.8996	−	13.1074i	0.821722	−	0.569888i
$530$	−21.9892	−	12.6955i	−0.955150	−	0.551456i
$531$	−5.50519	+	2.51414i	−0.238905	+	0.109104i
$532$	−10.4821	−	2.72268i	−0.454457	−	0.118043i
$533$	3.57221	−	4.12255i	0.154730	−	0.178568i
$534$	2.01527	+	3.90907i	0.0872092	+	0.169162i
$535$	−39.4794	−	13.6640i	−1.70684	−	0.590744i
$536$	7.01366	+	8.91860i	0.302944	+	0.385225i
$537$	5.54396	+	5.81434i	0.239240	+	0.250907i
$538$	7.60264	+	11.8299i	0.327773	+	0.510025i
$539$	26.1994	−	31.1898i	1.12849	−	1.34344i
$540$	3.08500	+	1.40887i	0.132757	+	0.0606282i
$541$	15.7989	+	22.1864i	0.679247	+	0.953869i	0.999978	+	0.00669878i	$0.00213230\pi$
$541$	15.7989	+	22.1864i	0.679247	+	0.953869i	−0.320730	+	0.947171i	$0.603928\pi$
$542$	6.11157	+	15.2660i	0.262514	+	0.655729i
$543$	−1.85741	+	3.60288i	−0.0797093	+	0.154614i
$544$	0.810098	−	0.772427i	0.0347327	−	0.0331175i
$545$	−61.1709	+	8.79504i	−2.62027	+	0.376738i
$546$	−0.359090	−	2.03965i	−0.0153676	−	0.0872888i
$547$	26.5032	+	17.0326i	1.13320	+	0.728260i	0.966225	−	0.257701i	$-0.0829651\pi$
$547$	26.5032	+	17.0326i	1.13320	+	0.728260i	0.166971	+	0.985962i	$0.446601\pi$
$548$	−1.45772	+	0.504521i	−0.0622706	+	0.0215521i
$549$	−10.8626	−	10.3575i	−0.463605	−	0.442046i
$550$	30.8205	+	21.9472i	1.31419	+	0.935832i
$551$	−5.23783	+	9.07219i	−0.223139	+	0.386488i
$552$	−3.24796	+	3.52857i	−0.138242	+	0.150186i
$553$	14.3168	+	25.7478i	0.608811	+	1.09491i
$554$	9.61431	+	21.0524i	0.408473	+	0.894431i
$555$	7.39486	−	30.4820i	0.313894	−	1.29389i
$556$	−0.0772509	+	0.400816i	−0.00327617	+	0.0169984i
$557$	−14.0600	−	0.669761i	−0.595742	−	0.0283787i	−0.252454	−	0.967609i	$-0.581238\pi$
$557$	−14.0600	−	0.669761i	−0.595742	−	0.0283787i	−0.343288	+	0.939230i	$0.611541\pi$
$558$	−0.679761	−	3.52694i	−0.0287766	−	0.149307i
$559$	−0.568177	−	3.95176i	−0.0240313	−	0.167141i
$560$	2.66653	−	8.56765i	0.112682	−	0.362049i
$561$	−5.47947	+	3.52144i	−0.231343	+	0.148675i
$562$	6.78883	−	8.63269i	0.286369	−	0.364148i
$563$	21.1612	−	2.02065i	0.891837	−	0.0851601i	0.360933	−	0.932592i	$-0.382458\pi$
$563$	21.1612	−	2.02065i	0.891837	−	0.0851601i	0.530904	+	0.847432i	$0.321852\pi$
$564$	−9.07324	+	0.866390i	−0.382052	+	0.0364816i
$565$	14.3609	−	18.2614i	0.604168	−	0.768262i
$566$	12.3424	−	7.93200i	0.518791	−	0.333407i
$567$	−0.786244	+	2.52623i	−0.0330192	+	0.106092i
$568$	0.853663	+	5.93735i	0.0358189	+	0.249126i
$569$	6.39735	+	33.1926i	0.268191	+	1.39151i	0.826997	+	0.562207i	$0.190048\pi$
$569$	6.39735	+	33.1926i	0.268191	+	1.39151i	−0.558806	+	0.829298i	$0.688740\pi$
$570$	13.8667	+	0.660554i	0.580813	+	0.0276675i
$571$	4.03227	−	20.9214i	0.168745	−	0.875534i	−0.794572	−	0.607170i	$-0.792305\pi$
$571$	4.03227	−	20.9214i	0.168745	−	0.875534i	0.963318	−	0.268364i	$-0.0864830\pi$
$572$	1.07388	−	4.42659i	0.0449011	−	0.185085i
$573$	−9.65005	−	21.1307i	−0.403137	−	0.882746i
$574$	8.96002	+	16.1140i	0.373984	+	0.672585i
$575$	9.67925	−	29.6429i	0.403653	−	1.23619i
$576$	0.500000	−	0.866025i	0.0208333	−	0.0360844i
$577$	−3.58713	−	2.55438i	−0.149334	−	0.106340i	0.502948	−	0.864317i	$-0.332249\pi$
$577$	−3.58713	−	2.55438i	−0.149334	−	0.106340i	−0.652282	+	0.757976i	$0.726188\pi$
$578$	11.3967	+	10.8667i	0.474041	+	0.451997i
$579$	23.3768	−	8.09080i	0.971508	−	0.336242i
$580$	−7.30164	−	4.69248i	−0.303184	−	0.194845i
$581$	4.18356	+	23.7628i	0.173563	+	0.985848i
$582$	0.111462	−	0.0160258i	0.00462025	−	0.000664292i
$583$	31.5298	−	30.0636i	1.30583	−	1.24511i
$584$	−6.43891	+	12.4897i	−0.266444	+	0.516829i
$585$	0.986671	+	2.46458i	0.0407938	+	0.101898i
$586$	8.08087	+	11.3480i	0.333818	+	0.468781i
$587$	−24.4281	−	11.1560i	−1.00826	−	0.460456i	−0.158347	−	0.987383i	$-0.550617\pi$
$587$	−24.4281	−	11.1560i	−1.00826	−	0.460456i	−0.849910	+	0.526928i	$0.823344\pi$
$588$	6.89301	+	1.21918i	0.284263	+	0.0502780i
$589$	−7.94883	−	12.3686i	−0.327526	−	0.509640i
$590$	−14.1643	−	14.8551i	−0.583135	−	0.611574i
$591$	−5.20964	−	6.62459i	−0.214296	−	0.272499i
$592$	−8.73986	−	3.02490i	−0.359206	−	0.124322i
$593$	1.39703	+	2.70986i	0.0573691	+	0.111280i	0.915777	−	0.401688i	$-0.131576\pi$
$593$	1.39703	+	2.70986i	0.0573691	+	0.111280i	−0.858408	+	0.512968i	$0.828546\pi$
$594$	−3.81067	+	4.39775i	−0.156354	+	0.180442i
$595$	−9.72119	−	2.52504i	−0.398530	−	0.103516i
$596$	10.2059	−	4.66086i	0.418048	−	0.190916i
$597$	2.51257	+	1.45063i	0.102833	+	0.0593704i
$598$	−3.74606	+	0.244534i	−0.153188	+	0.00999976i
$599$	−4.59571	−	7.96001i	−0.187776	−	0.325237i	0.756733	−	0.653724i	$-0.226794\pi$
$599$	−4.59571	−	7.96001i	−0.187776	−	0.325237i	−0.944508	+	0.328487i	$0.893461\pi$
$600$	−0.618067	+	6.47269i	−0.0252325	+	0.264247i
$601$	1.26476	+	4.30739i	0.0515908	+	0.175702i	0.981258	−	0.192698i	$-0.0617238\pi$
$601$	1.26476	+	4.30739i	0.0515908	+	0.175702i	−0.929667	+	0.368400i	$0.879906\pi$
$602$	13.2074	+	2.76719i	0.538295	+	0.112782i
$603$	6.13414	−	9.54491i	0.249801	−	0.388699i
$604$	−17.6880	+	3.40908i	−0.719714	+	0.138713i
$605$	−60.9459	+	47.9284i	−2.47781	+	1.94857i
$606$	−2.22486	−	9.17099i	−0.0903787	−	0.372546i
$607$	−7.16943	+	0.341522i	−0.290998	+	0.0138620i	−0.192574	−	0.981283i	$-0.561683\pi$
$607$	−7.16943	+	0.341522i	−0.290998	+	0.0138620i	−0.0984248	+	0.995144i	$0.531380\pi$
$608$	0.582542	−	4.05167i	0.0236252	−	0.164317i
$609$	2.91176	−	6.11296i	0.117990	−	0.247710i
$610$	21.1459	−	46.3031i	0.856173	−	1.87476i
$611$	−5.60815	−	4.41030i	−0.226882	−	0.178422i
$612$	−0.994901	−	0.512907i	−0.0402165	−	0.0207330i
$613$	27.0467	−	6.56145i	1.09240	−	0.265015i	0.351205	−	0.936299i	$-0.385772\pi$
$613$	27.0467	−	6.56145i	1.09240	−	0.265015i	0.741200	+	0.671284i	$0.234257\pi$
$614$	5.15315	−	12.8719i	0.207964	−	0.519470i
$615$	−15.4772	−	17.8616i	−0.624100	−	0.720250i
$616$	12.8158	+	8.53142i	0.516364	+	0.343741i
$617$	−5.51475	−	4.77856i	−0.222015	−	0.192378i	0.536750	−	0.843741i	$-0.319652\pi$
$617$	−5.51475	−	4.77856i	−0.222015	−	0.192378i	−0.758766	+	0.651364i	$0.774197\pi$
$618$	1.89913	+	0.460724i	0.0763943	+	0.0185330i
$619$	3.43664	−	4.82609i	0.138130	−	0.193977i	−0.739716	−	0.672919i	$-0.765040\pi$
$619$	3.43664	−	4.82609i	0.138130	−	0.193977i	0.877846	+	0.478942i	$0.158980\pi$
$620$	10.5496	−	6.09083i	0.423684	−	0.244614i
$621$	4.39680	+	1.91524i	0.176438	+	0.0768560i
$622$		−	16.0866i		−	0.645015i
$623$	−9.36826	−	6.90151i	−0.375331	−	0.276503i
$624$	0.751063	−	0.220532i	0.0300666	−	0.00882834i
$625$	4.98220	+	14.3951i	0.199288	+	0.575805i
$626$	−1.09695	+	23.0278i	−0.0438429	+	0.920376i
$627$	−7.79054	+	22.5093i	−0.311124	+	0.898934i
$628$	−6.99092	−	2.79874i	−0.278968	−	0.111682i
$629$	−2.91654	+	9.93282i	−0.116290	+	0.396048i
$630$	−8.96857	+	0.282328i	−0.357316	+	0.0112482i
$631$	37.4330	+	5.38205i	1.49018	+	0.214256i	0.838778	−	0.544473i	$-0.183270\pi$
$631$	37.4330	+	5.38205i	1.49018	+	0.214256i	0.651406	+	0.758729i	$0.274180\pi$
$632$	−9.07030	+	6.45893i	−0.360797	+	0.256922i
$633$	−1.56192	−	16.3572i	−0.0620808	−	0.650140i
$634$	17.2144	−	6.89160i	0.683670	−	0.273700i
$635$	2.97338	+	62.4190i	0.117995	+	2.47702i
$636$	7.18342	+	2.10924i	0.284841	+	0.0836370i
$637$	3.24645	+	4.41411i	0.128629	+	0.174893i
$638$	11.2547	−	9.75228i	0.445579	−	0.386097i
$639$	5.33160	−	2.74863i	0.210915	−	0.108734i
$640$	3.33019	+	0.641842i	0.131637	+	0.0253710i
$641$	5.11623	−	5.36575i	0.202079	−	0.211934i	−0.614895	−	0.788609i	$-0.710802\pi$
$641$	5.11623	−	5.36575i	0.202079	−	0.211934i	0.816974	+	0.576675i	$0.195650\pi$
$642$	12.2625	+	1.17092i	0.483961	+	0.0462127i
$643$	22.8263			0.900180			0.450090	−	0.892983i	$-0.351392\pi$
$643$	22.8263			0.900180			0.450090	+	0.892983i	$0.351392\pi$
$644$	3.55707	−	12.1798i	0.140168	−	0.479951i
$645$	−17.2977			−0.681096
$646$	−4.56105	−	0.435527i	−0.179452	−	0.0171356i
$647$	23.4562	−	24.6001i	0.922157	−	0.967130i	−0.0773970	−	0.997000i	$-0.524661\pi$
$647$	23.4562	−	24.6001i	0.922157	−	0.967130i	0.999554	+	0.0298701i	$0.00950936\pi$
$648$	−0.981929	−	0.189251i	−0.0385738	−	0.00743449i
$649$	31.3026	−	16.1376i	1.22874	−	0.633457i
$650$	−3.84652	+	3.33303i	−0.150873	+	0.130732i
$651$	5.75319	+	7.56375i	0.225485	+	0.296447i
$652$	1.95769	+	0.574828i	0.0766689	+	0.0225120i
$653$	−0.420808	−	8.83386i	−0.0164675	−	0.345696i	−0.992032	−	0.125984i	$-0.959791\pi$
$653$	−0.420808	−	8.83386i	−0.0164675	−	0.345696i	0.975565	−	0.219712i	$-0.0705117\pi$
$654$	16.9168	−	6.77247i	0.661500	−	0.264825i
$655$	−5.52246	−	57.8339i	−0.215781	−	2.25976i
$656$	−5.67656	+	4.04226i	−0.221633	+	0.157824i
$657$	13.9088	+	1.99978i	0.542633	+	0.0780188i
$658$	20.4943	−	12.7085i	0.798949	−	0.495429i
$659$	5.74333	−	19.5600i	0.223728	−	0.761949i	−0.768752	−	0.639547i	$-0.779122\pi$
$659$	5.74333	−	19.5600i	0.223728	−	0.761949i	0.992481	−	0.122402i	$-0.0390597\pi$
$660$	−18.3215	−	7.33484i	−0.713165	−	0.285508i
$661$	6.34458	−	18.3315i	0.246776	−	0.713011i	−0.751787	−	0.659406i	$-0.770808\pi$
$661$	6.34458	−	18.3315i	0.246776	−	0.713011i	0.998562	−	0.0536047i	$-0.0170711\pi$
$662$	−0.000511582		0.0107394i	−1.98832e−5		0.000417399i
$663$	−0.286570	−	0.827990i	−0.0111295	−	0.0321565i
$664$	−8.75022	+	2.56930i	−0.339574	+	0.0997080i
$665$	−33.6521	+	14.7171i	−1.30497	+	0.570705i
$666$			9.24852i			0.358373i
$667$	−10.4402	−	6.45297i	−0.404247	−	0.249860i
$668$	4.06377	−	2.34622i	0.157232	−	0.0907779i
$669$	4.70639	−	6.60920i	0.181960	−	0.255527i
$670$	37.3952	+	9.07198i	1.44470	+	0.350481i
$671$	66.0063	+	57.1948i	2.54815	+	2.20798i
$672$	−0.168501	+	2.64038i	−0.00650006	+	0.101855i
$673$	−5.64992	−	6.52036i	−0.217789	−	0.251341i	0.636333	−	0.771414i	$-0.280450\pi$
$673$	−5.64992	−	6.52036i	−0.217789	−	0.251341i	−0.854122	+	0.520073i	$0.825905\pi$
$674$	−4.16940	+	10.4147i	−0.160599	+	0.401158i
$675$	6.31885	−	1.53294i	0.243213	−	0.0590028i
$676$	−11.0102	−	5.67618i	−0.423471	−	0.218314i
$677$	−20.1710	−	15.8627i	−0.775236	−	0.609652i	0.150157	−	0.988662i	$-0.452022\pi$
$677$	−20.1710	−	15.8627i	−0.775236	−	0.609652i	−0.925393	+	0.379010i	$0.876265\pi$
$678$	−2.84560	+	6.23100i	−0.109285	+	0.239300i
$679$	−0.245445	+	0.168881i	−0.00941933	+	0.00648107i
$680$	0.540254	−	3.75755i	0.0207178	−	0.144095i
$681$	16.0040	−	0.762365i	0.613275	−	0.0292139i
$682$	4.92763	+	20.3120i	0.188689	+	0.777786i
$683$	−6.89424	+	5.42169i	−0.263801	+	0.207455i	−0.741295	−	0.671180i	$-0.765788\pi$
$683$	−6.89424	+	5.42169i	−0.263801	+	0.207455i	0.477494	+	0.878635i	$0.341545\pi$
$684$	−4.01936	+	0.774668i	−0.153684	+	0.0296202i
$685$	−2.82839	+	4.40106i	−0.108067	+	0.168156i
$686$	−17.7742	+	5.20369i	−0.678621	+	0.198678i
$687$	0.335367	+	1.14215i	0.0127950	+	0.0435759i
$688$	−0.484818	+	5.07724i	−0.0184835	+	0.193568i
$689$	2.93018	+	5.07522i	0.111631	+	0.193350i
$690$	−1.26113	+	16.2160i	−0.0480103	+	0.617333i
$691$	−37.7037	−	21.7682i	−1.43432	−	0.828103i	−0.436871	−	0.899524i	$-0.643913\pi$
$691$	−37.7037	−	21.7682i	−1.43432	−	0.828103i	−0.997446	+	0.0714212i	$0.977247\pi$
$692$	6.25424	−	2.85622i	0.237751	−	0.108577i
$693$	3.87055	−	14.9013i	0.147030	−	0.566054i
$694$	−8.13878	+	9.39266i	−0.308944	+	0.356540i
$695$	0.634357	+	1.23048i	0.0240626	+	0.0466748i
$696$	2.41845	+	0.837033i	0.0916710	+	0.0317277i
$697$	4.82184	+	6.13147i	0.182640	+	0.232246i
$698$	−22.4076	−	23.5004i	−0.848141	−	0.889505i
$699$	3.59095	+	5.58762i	0.135822	+	0.211343i
$700$	−6.13528	−	16.0718i	−0.231892	−	0.607457i
$701$	24.7565	+	11.3059i	0.935039	+	0.427018i	0.823867	−	0.566783i	$-0.191812\pi$
$701$	24.7565	+	11.3059i	0.935039	+	0.427018i	0.111172	+	0.993801i	$0.464540\pi$
$702$	−0.454051	−	0.637626i	−0.0171371	−	0.0240656i
$703$	14.0701	+	35.1455i	0.530665	+	1.32554i
$704$	−2.66645	+	5.17219i	−0.100496	+	0.194934i
$705$	−22.3718	+	21.3315i	−0.842572	+	0.803391i
$706$	−22.1942	+	3.19105i	−0.835291	+	0.120097i
$707$	16.0440	+	19.1308i	0.603398	+	0.719488i
$708$	5.09136	+	3.27202i	0.191345	+	0.122970i
$709$	20.3400	−	7.03974i	0.763884	−	0.264383i	0.0827785	−	0.996568i	$-0.473621\pi$
$709$	20.3400	−	7.03974i	0.763884	−	0.264383i	0.681106	+	0.732185i	$0.261499\pi$
$710$	14.7233	+	14.0386i	0.552554	+	0.526860i
$711$	9.07030	+	6.45893i	0.340163	+	0.242229i
$712$	2.19899	−	3.80876i	0.0824105	−	0.142739i
$713$	14.7643	−	8.87394i	0.552927	−	0.332332i
$714$	2.96109	+	0.0477680i	0.110816	+	0.00178767i
$715$	−6.41739	−	14.0521i	−0.239997	−	0.525520i
$716$	1.89404	−	7.80735i	0.0707837	−	0.291774i
$717$	−1.73844	+	9.01988i	−0.0649232	+	0.336854i
$718$	−0.483834	−	0.0230479i	−0.0180565	−	0.000860139i
$719$	−6.16868	−	32.0061i	−0.230053	−	1.19363i	−0.894768	−	0.446531i	$-0.852659\pi$
$719$	−6.16868	−	32.0061i	−0.230053	−	1.19363i	0.664715	−	0.747097i	$-0.268553\pi$
$720$	−0.482658	−	3.35696i	−0.0179876	−	0.125106i
$721$	−5.04364	+	1.13776i	−0.187835	+	0.0423723i
$722$	1.88831	−	1.21354i	0.0702757	−	0.0451635i
$723$	−9.81525	+	12.4811i	−0.365033	+	0.464177i
$724$	4.03513	−	0.385308i	0.149964	−	0.0143199i
$725$	−16.5649	+	1.58176i	−0.615206	+	0.0587450i
$726$	14.1320	−	17.9703i	0.524488	−	0.666941i
$727$	−14.1111	+	9.06863i	−0.523350	+	0.336337i	−0.775496	−	0.631352i	$-0.782500\pi$
$727$	−14.1111	+	9.06863i	−0.523350	+	0.336337i	0.252146	+	0.967689i	$0.418864\pi$
$728$	−1.52172	+	1.40480i	−0.0563988	+	0.0520654i
$729$	0.142315	+	0.989821i	0.00527092	+	0.0366601i
$730$	9.01903	+	46.7952i	0.333809	+	1.73197i
$731$	5.70250	+	0.271644i	0.210915	+	0.0100471i
$732$	−2.84049	+	14.7379i	−0.104988	+	0.544728i
$733$	1.50052	−	6.18523i	0.0554230	−	0.228457i	−0.937363	−	0.348353i	$-0.886741\pi$
$733$	1.50052	−	6.18523i	0.0554230	−	0.228457i	0.992786	+	0.119896i	$0.0382562\pi$
$734$	11.8570	+	25.9632i	0.437650	+	0.958319i
$735$	20.9319	−	11.2008i	0.772086	−	0.413149i
$736$	4.72440	+	0.824669i	0.174144	+	0.0303977i
$737$	−33.0117	+	57.1779i	−1.21600	+	2.10617i
$738$	5.67656	+	4.04226i	0.208957	+	0.148798i
$739$	14.3511	+	13.6838i	0.527915	+	0.503366i	0.906503	−	0.422199i	$-0.138742\pi$
$739$	14.3511	+	13.6838i	0.527915	+	0.503366i	−0.378588	+	0.925565i	$0.623590\pi$
$740$	−29.6411	+	10.2589i	−1.08963	+	0.377124i
$741$	−2.69549	−	1.73229i	−0.0990214	−	0.0636372i
$742$	−19.5079	+	3.43446i	−0.716157	+	0.126083i
$743$	2.88820	−	0.415260i	0.105958	−	0.0152344i	−0.0891320	−	0.996020i	$-0.528409\pi$
$743$	2.88820	−	0.415260i	0.105958	−	0.0152344i	0.195090	+	0.980785i	$0.437500\pi$
$744$	−2.59954	+	2.47866i	−0.0953038	+	0.0908720i
$745$	17.4362	−	33.8216i	0.638815	−	1.23913i
$746$	−4.65880	−	11.6371i	−0.170571	−	0.426065i
$747$	5.28990	+	7.42863i	0.193547	+	0.271799i
$748$	5.92485	+	2.70579i	0.216634	+	0.0989334i
$749$	−30.4479	+	11.6233i	−1.11254	+	0.424705i
$750$	2.75427	+	4.28573i	0.100572	+	0.156493i
$751$	−10.4240	−	10.9324i	−0.380377	−	0.398928i	0.505516	−	0.862817i	$-0.331302\pi$
$751$	−10.4240	−	10.9324i	−0.380377	−	0.398928i	−0.885893	+	0.463889i	$0.846454\pi$
$752$	5.63422	+	7.16449i	0.205459	+	0.261262i
$753$	25.8576	+	8.94941i	0.942304	+	0.326135i
$754$	0.917950	+	1.78058i	0.0334298	+	0.0648447i
$755$	−40.0071	+	46.1706i	−1.45601	+	1.68032i
$756$	2.55027	−	0.704350i	0.0927525	−	0.0256170i
$757$	26.9017	−	12.2856i	0.977759	−	0.446527i	0.138561	−	0.990354i	$-0.455752\pi$
$757$	26.9017	−	12.2856i	0.977759	−	0.446527i	0.839198	+	0.543826i	$0.183025\pi$
$758$	−3.60836	−	2.08329i	−0.131062	−	0.0756685i
$759$	−26.0866	−	9.91488i	−0.946882	−	0.359887i
$760$	−6.94122	−	12.0226i	−0.251785	−	0.436104i
$761$	2.35677	−	24.6812i	0.0854328	−	0.894693i	−0.846579	−	0.532264i	$-0.821341\pi$
$761$	2.35677	−	24.6812i	0.0854328	−	0.894693i	0.932011	−	0.362429i	$-0.118052\pi$
$762$	−5.19106	−	17.6791i	−0.188052	−	0.640448i
$763$	−32.1552	+	35.9216i	−1.16410	+	1.30045i
$764$	−12.5590	+	19.5422i	−0.454370	+	0.707014i
$765$	−3.72759	+	0.718433i	−0.134771	+	0.0259750i
$766$	−9.08699	+	7.14609i	−0.328326	+	0.258199i
$767$	1.11689	+	4.60387i	0.0403285	+	0.166236i
$768$	−0.998867	+	0.0475819i	−0.0360435	+	0.00171696i
$769$	6.76884	−	47.0783i	0.244090	−	1.69769i	−0.387083	−	0.922045i	$-0.626517\pi$
$769$	6.76884	−	47.0783i	0.244090	−	1.69769i	0.631173	−	0.775642i	$-0.282574\pi$
$770$	52.0514	−	4.12426i	1.87580	−	0.148628i
$771$	3.15574	−	6.91010i	0.113651	−	0.248861i
$772$	−19.4449	−	15.2916i	−0.699837	−	0.550358i
$773$	−34.7738	−	17.9271i	−1.25073	−	0.644795i	−0.299739	−	0.954021i	$-0.596899\pi$
$773$	−34.7738	−	17.9271i	−1.25073	−	0.644795i	−0.950988	+	0.309227i	$0.899930\pi$
$774$	4.95657	−	1.20245i	0.178160	−	0.0432212i
$775$	8.68005	−	21.6817i	0.311797	−	0.778830i
$776$	−0.0737427	−	0.0851036i	−0.00264721	−	0.00305504i
$777$	−10.8602	−	21.9272i	−0.389608	−	0.786634i
$778$	−23.6311	−	20.4764i	−0.847215	−	0.734116i
$779$	27.7212	+	6.72510i	0.993217	+	0.240952i
$780$	1.53991	−	2.16250i	0.0551375	−	0.0774298i
$781$	−30.2287	+	17.4525i	−1.08167	+	0.624501i
$782$	0.670411	−	5.32610i	0.0239738	−	0.190461i
$783$		−	2.55920i		−	0.0914584i
$784$	−2.70101	−	6.45791i	−0.0964646	−	0.230640i
$785$	−24.5045	+	7.19516i	−0.874601	+	0.256806i
$786$	5.60276	+	16.1881i	0.199844	+	0.577411i
$787$	−1.83287	+	38.4767i	−0.0653348	+	1.37155i	0.693591	+	0.720369i	$0.256028\pi$
$787$	−1.83287	+	38.4767i	−0.0653348	+	1.37155i	−0.758926	+	0.651177i	$0.774275\pi$
$788$	−2.75642	+	7.96415i	−0.0981934	+	0.283711i
$789$	−20.9698	−	8.39506i	−0.746546	−	0.298872i
$790$	−10.6394	+	36.2344i	−0.378532	+	1.28916i
$791$	−0.570240	−	18.1145i	−0.0202754	−	0.644077i
$792$	5.75983	+	0.828138i	0.204667	+	0.0294266i
$793$	−9.57020	+	6.81491i	−0.339848	+	0.242004i
$794$	−2.30122	−	24.0995i	−0.0816674	−	0.855260i
$795$	23.5721	−	9.43686i	0.836018	−	0.334691i
$796$	−0.138048	−	2.89798i	−0.00489297	−	0.102716i
$797$	52.9885	+	15.5588i	1.87695	+	0.551122i	0.997121	+	0.0758291i	$0.0241603\pi$
$797$	52.9885	+	15.5588i	1.87695	+	0.551122i	0.879828	+	0.475293i	$0.157658\pi$
$798$	8.61978	−	6.55644i	0.305137	−	0.232095i
$799$	7.71028	−	6.68099i	0.272770	−	0.236357i
$800$	5.77933	−	2.97945i	0.204330	−	0.105339i
$801$	−4.31850	−	0.832322i	−0.152587	−	0.0294086i
$802$	16.3109	−	17.1064i	0.575959	−	0.604049i
$803$	−81.3980	−	7.77256i	−2.87247	−	0.274288i
$804$	−11.3461			−0.400144
$805$	−16.0519	−	39.9272i	−0.565754	−	1.40725i
$806$	−2.81159			−0.0990340
$807$	−13.9986	−	1.33670i	−0.492774	−	0.0470542i
$808$	−6.51228	+	6.82988i	−0.229101	+	0.240274i
$809$	43.1269	+	8.31203i	1.51626	+	0.292235i	0.878404	−	0.477919i	$-0.158609\pi$
$809$	43.1269	+	8.31203i	1.51626	+	0.292235i	0.637857	+	0.770155i	$0.279821\pi$
$810$	−3.01447	+	1.55407i	−0.105918	+	0.0546043i
$811$	23.4112	−	20.2859i	0.822079	−	0.712335i	−0.138494	−	0.990363i	$-0.544226\pi$
$811$	23.4112	−	20.2859i	0.822079	−	0.712335i	0.960573	+	0.278028i	$0.0896808\pi$
$812$	−6.71676	+	0.855386i	−0.235712	+	0.0300182i
$813$	−15.7778	−	4.63278i	−0.553351	−	0.162479i
$814$	−2.56075	−	53.7567i	−0.0897542	−	1.88417i
$815$	6.42407	−	2.57181i	0.225026	−	0.0900866i
$816$	0.106399	+	1.11426i	0.00372472	+	0.0390070i
$817$	17.0062	−	12.1101i	0.594972	−	0.423677i
$818$	4.31582	+	0.620521i	0.150899	+	0.0216960i
$819$	1.82525	+	0.978563i	0.0637792	+	0.0341937i
$820$	−6.65856	+	22.6770i	−0.232527	+	0.791914i
$821$	4.80152	+	1.92224i	0.167574	+	0.0670866i	0.453933	−	0.891036i	$-0.350021\pi$
$821$	4.80152	+	1.92224i	0.167574	+	0.0670866i	−0.286359	+	0.958123i	$0.592445\pi$
$822$	0.504521	−	1.45772i	0.0175972	−	0.0508438i
$823$	0.821594	−	17.2474i	0.0286390	−	0.601206i	−0.938242	−	0.345979i	$-0.887547\pi$
$823$	0.821594	−	17.2474i	0.0286390	−	0.601206i	0.966881	−	0.255227i	$-0.0821501\pi$
$824$	−0.639162	−	1.84674i	−0.0222663	−	0.0643341i
$825$	−36.3037	+	10.6597i	−1.26393	+	0.371124i
$826$	−15.9132	−	1.77898i	−0.553693	−	0.0618987i
$827$			33.4119i			1.16185i	0.813958	+	0.580923i	$0.197308\pi$
$827$			33.4119i			1.16185i	−0.813958	+	0.580923i	$0.802692\pi$
$828$	−0.765886	−	4.73428i	−0.0266164	−	0.164528i
$829$	18.3995	−	10.6229i	0.639040	−	0.368950i	−0.145205	−	0.989402i	$-0.546384\pi$
$829$	18.3995	−	10.6229i	0.639040	−	0.368950i	0.784245	+	0.620452i	$0.213051\pi$
$830$	−17.9406	+	25.1941i	−0.622727	+	0.874498i
$831$	−22.4915	−	5.45637i	−0.780221	−	0.189280i
$832$	−0.591578	−	0.512606i	−0.0205093	−	0.0177714i
$833$	−7.07649	+	3.36385i	−0.245186	+	0.116550i
$834$	−0.267309	−	0.308491i	−0.00925615	−	0.0106822i
$835$	5.91475	−	14.7743i	0.204688	−	0.511287i
$836$	23.1479	−	5.61562i	0.800587	−	0.194220i
$837$	3.19256	+	1.64588i	0.110351	+	0.0568899i
$838$	10.7897	+	8.48509i	0.372723	+	0.293113i
$839$	10.4233	−	22.8239i	0.359853	−	0.787969i	−0.639955	−	0.768412i	$-0.721047\pi$
$839$	10.4233	−	22.8239i	0.359853	−	0.787969i	0.999809	−	0.0195571i	$-0.00622560\pi$
$840$	5.08628	+	7.39220i	0.175493	+	0.255055i
$841$	3.19504	−	22.2220i	0.110174	−	0.766275i
$842$	7.72406	−	0.367942i	0.266189	−	0.0126801i
$843$	2.58918	+	10.6728i	0.0891762	+	0.367589i
$844$	−12.9161	+	10.1573i	−0.444591	+	0.349630i
$845$	−41.2520	+	7.95067i	−1.41911	+	0.273511i
$846$	4.92768	−	7.66762i	0.169417	−	0.263618i
$847$	−12.4035	+	59.2003i	−0.426189	+	2.03415i
$848$	−2.10924	−	7.18342i	−0.0724317	−	0.246680i
$849$	−1.39461	+	14.6051i	−0.0478630	+	0.501244i
$850$	−3.63902	−	6.30297i	−0.124817	−	0.216190i
$851$	−41.6533	+	15.2417i	−1.42786	+	0.522479i
$852$	−5.19477	−	2.99920i	−0.177970	−	0.102751i
$853$	−22.9142	+	10.4646i	−0.784567	+	0.358300i	−0.767083	−	0.641547i	$-0.778293\pi$
$853$	−22.9142	+	10.4646i	−0.784567	+	0.358300i	−0.0174836	+	0.999847i	$0.505565\pi$
$854$	−10.5717	−	38.2773i	−0.361755	−	1.30982i
$855$	−9.09107	+	10.4917i	−0.310908	+	0.358807i
$856$	−5.64455	−	10.9489i	−0.192927	−	0.374226i
$857$	−18.5978	−	6.43675i	−0.635287	−	0.219875i	−0.00960599	−	0.999954i	$-0.503058\pi$
$857$	−18.5978	−	6.43675i	−0.635287	−	0.219875i	−0.625681	+	0.780079i	$0.715179\pi$
$858$	2.81571	+	3.58046i	0.0961266	+	0.122235i
$859$	−17.0014	−	17.8305i	−0.580079	−	0.608370i	0.366666	−	0.930353i	$-0.380499\pi$
$859$	−17.0014	−	17.8305i	−0.580079	−	0.608370i	−0.946745	+	0.321983i	$0.895651\pi$
$860$	9.35184	+	14.5517i	0.318895	+	0.496210i
$861$	−18.2052	−	2.91796i	−0.620430	−	0.0994438i
$862$	13.6230	+	6.22141i	0.464001	+	0.211902i
$863$	14.3303	+	20.1241i	0.487809	+	0.685031i	0.982969	−	0.183770i	$-0.0588302\pi$
$863$	14.3303	+	20.1241i	0.487809	+	0.685031i	−0.495161	+	0.868801i	$0.664891\pi$
$864$	0.371662	+	0.928368i	0.0126442	+	0.0315837i
$865$	10.6851	−	20.7262i	0.363304	−	0.704712i
$866$	12.3260	−	11.7528i	0.418856	−	0.399378i
$867$	−15.5868	+	2.24105i	−0.529356	+	0.0761099i
$868$	3.25262	−	8.92916i	0.110401	−	0.303075i
$869$	−54.5092	−	35.0309i	−1.84910	−	1.18834i
$870$	8.20212	−	2.83878i	0.278078	−	0.0962437i
$871$	−6.42774	−	6.12884i	−0.217796	−	0.207668i
$872$	−14.8433	−	10.5699i	−0.502657	−	0.357941i
$873$	−0.0563041	+	0.0975216i	−0.00190561	+	0.00330061i
$874$	−10.1129	−	16.8257i	−0.342074	−	0.569136i
$875$	−11.5627	−	6.92674i	−0.390889	−	0.234167i
$876$	−5.83733	−	12.7820i	−0.197225	−	0.431863i
$877$	12.0546	−	49.6899i	0.407056	−	1.67791i	−0.286956	−	0.957944i	$-0.592643\pi$
$877$	12.0546	−	49.6899i	0.407056	−	1.67791i	0.694012	−	0.719964i	$-0.255842\pi$
$878$	−5.85465	+	30.3768i	−0.197585	+	1.02517i
$879$	−13.9154	−	0.662872i	−0.469355	−	0.0223581i
$880$	3.73492	+	19.3786i	0.125904	+	0.653252i
$881$	5.80529	+	40.3767i	0.195585	+	1.36032i	0.816907	+	0.576769i	$0.195687\pi$
$881$	5.80529	+	40.3767i	0.195585	+	1.36032i	−0.621322	+	0.783555i	$0.713404\pi$
$882$	−5.21931	+	4.66463i	−0.175743	+	0.157066i
$883$	−3.25963	+	2.09484i	−0.109695	+	0.0704969i	−0.594338	−	0.804215i	$-0.702586\pi$
$883$	−3.25963	+	2.09484i	−0.109695	+	0.0704969i	0.484643	+	0.874712i	$0.338950\pi$
$884$	−0.541618	+	0.688723i	−0.0182166	+	0.0231643i
$885$	20.4327	−	1.95108i	0.686836	−	0.0655849i
$886$	19.3211	−	1.84494i	0.649105	−	0.0619820i
$887$	−10.9582	+	13.9345i	−0.367940	+	0.467873i	−0.934405	−	0.356212i	$-0.884068\pi$
$887$	−10.9582	+	13.9345i	−0.367940	+	0.467873i	0.566465	+	0.824085i	$0.308310\pi$
$888$	7.78035	−	5.00013i	0.261091	−	0.167793i
$889$	33.0674	+	35.8196i	1.10905	+	1.20135i
$890$	−2.12272	−	14.7638i	−0.0711536	−	0.494884i
$891$	−1.10126	−	5.71390i	−0.0368937	−	0.191423i
$892$	−8.10448	−	0.386064i	−0.271358	−	0.0129264i
$893$	7.06072	−	36.6345i	0.236278	−	1.22593i
$894$	−2.64516	+	10.9035i	−0.0884673	+	0.364667i
$895$	−11.3186	−	24.7843i	−0.378339	−	0.828447i
$896$	2.31233	−	1.28575i	0.0772494	−	0.0429537i
$897$	2.12344	−	3.09576i	0.0708998	−	0.103365i
$898$	12.9254	−	22.3875i	0.431328	−	0.747081i
$899$	−7.48779	−	5.33203i	−0.249732	−	0.177833i
$900$	−4.70582	−	4.48699i	−0.156861	−	0.149566i
$901$	−7.91918	+	2.74086i	−0.263826	+	0.0913112i
$902$	−34.1141	−	21.9238i	−1.13587	−	0.729982i
$903$	−10.3395	+	8.67119i	−0.344076	+	0.288559i
$904$	6.78030	−	0.974860i	0.225510	−	0.0324234i
$905$	9.94940	−	9.48673i	0.330729	−	0.315350i
$906$	8.25427	−	16.0110i	0.274230	−	0.531931i
$907$	−1.51849	−	3.79302i	−0.0504208	−	0.125945i	0.901019	−	0.433779i	$-0.142820\pi$
$907$	−1.51849	−	3.79302i	−0.0504208	−	0.125945i	−0.951440	+	0.307834i	$0.900396\pi$
$908$	−9.29377	−	13.0513i	−0.308425	−	0.433122i
$909$	8.58420	+	3.92027i	0.284720	+	0.130027i
$910$	−1.11160	+	6.93529i	−0.0368492	+	0.229903i
$911$	21.0677	+	32.7820i	0.698005	+	1.08612i	0.991494	+	0.130154i	$0.0415473\pi$
$911$	21.0677	+	32.7820i	0.698005	+	1.08612i	−0.293489	+	0.955962i	$0.594816\pi$
$912$	2.82472	+	2.96248i	0.0935359	+	0.0980976i
$913$	−32.8043	−	41.7140i	−1.08566	−	1.38053i
$914$	−22.6449	−	7.83747i	−0.749026	−	0.259241i
$915$	23.3251	+	45.2445i	0.771106	+	1.49574i
$916$	0.779528	−	0.899624i	0.0257563	−	0.0297244i
$917$	−32.2926	−	31.8011i	−1.06640	−	1.05016i
$918$	1.01818	−	0.464987i	0.0336049	−	0.0153469i
$919$	21.8960	+	12.6417i	0.722283	+	0.417010i	0.815592	−	0.578627i	$-0.196411\pi$
$919$	21.8960	+	12.6417i	0.722283	+	0.417010i	−0.0933093	+	0.995637i	$0.529745\pi$
$920$	14.3236	−	7.70610i	0.472235	−	0.254063i
$921$	6.93257	+	12.0076i	0.228436	+	0.395663i
$922$	−0.344170	+	3.60432i	−0.0113346	+	0.118702i
$923$	−1.32284	−	4.50518i	−0.0435418	−	0.148290i
$924$	−14.6284	+	4.80014i	−0.481238	+	0.157913i
$925$	−32.5115	+	50.5889i	−1.06897	+	1.66335i
$926$	11.8346	−	2.28093i	0.388909	−	0.0749560i
$927$	−1.53612	+	1.20802i	−0.0504528	+	0.0396765i
$928$	−0.603355	−	2.48706i	−0.0198061	−	0.0816418i
$929$	17.3146	−	0.824798i	0.568075	−	0.0270607i	0.238420	−	0.971162i	$-0.423371\pi$
$929$	17.3146	−	0.824798i	0.568075	−	0.0270607i	0.329655	+	0.944101i	$0.393068\pi$
$930$	−1.73363	+	12.0577i	−0.0568480	+	0.395387i
$931$	−12.7375	+	25.6665i	−0.417456	+	0.841185i
$932$	2.75920	−	6.04180i	0.0903805	−	0.197906i
$933$	12.6449	+	9.94410i	0.413977	+	0.325555i
$934$	0.541254	+	0.279036i	0.0177104	+	0.00913034i
$935$	21.4676	−	5.20797i	0.702064	−	0.170319i
$936$	−0.290926	+	0.726699i	−0.00950923	+	0.0237529i
$937$	3.95003	+	4.55858i	0.129042	+	0.148922i	0.816593	−	0.577213i	$-0.195860\pi$
$937$	3.95003	+	4.55858i	0.129042	+	0.148922i	−0.687551	+	0.726136i	$0.741314\pi$
$938$	26.9002	−	13.3233i	0.878323	−	0.435020i
$939$	−17.4230	−	15.0971i	−0.568578	−	0.492676i
$940$	30.0403	+	7.28771i	0.979808	+	0.237699i
$941$	14.5698	−	20.4604i	0.474963	−	0.666992i	−0.505697	−	0.862711i	$-0.668765\pi$
$941$	14.5698	−	20.4604i	0.474963	−	0.666992i	0.980660	+	0.195719i	$0.0627042\pi$
$942$	6.52146	−	3.76516i	0.212481	−	0.122676i
$943$	−8.85041	+	32.2277i	−0.288209	+	1.04948i
$944$		−	6.05211i		−	0.196979i
$945$	5.32208	−	7.22430i	0.173127	−	0.235006i
$946$	−28.4769	+	8.36159i	−0.925865	+	0.271859i
$947$	−1.60025	−	4.62363i	−0.0520012	−	0.150248i	0.916009	−	0.401157i	$-0.131392\pi$
$947$	−1.60025	−	4.62363i	−0.0520012	−	0.150248i	−0.968011	+	0.250909i	$0.919270\pi$
$948$	0.529824	−	11.1224i	0.0172079	−	0.361238i
$949$	3.59753	−	10.3944i	0.116781	−	0.337416i
$950$	−24.7089	−	9.89194i	−0.801662	−	0.320937i
$951$	−5.22406	+	17.7915i	−0.169402	+	0.576930i
$952$	−1.56070	−	2.51685i	−0.0505826	−	0.0815716i
$953$	33.5257	+	4.82026i	1.08600	+	0.156144i	0.661990	−	0.749513i	$-0.269712\pi$
$953$	33.5257	+	4.82026i	1.08600	+	0.156144i	0.424013	+	0.905656i	$0.360621\pi$
$954$	−6.09848	+	4.34270i	−0.197445	+	0.140600i
$955$	7.48887	+	78.4270i	0.242334	+	2.53784i
$956$	8.52788	−	3.41405i	0.275811	−	0.110418i
$957$	0.708597	+	14.8753i	0.0229057	+	0.480849i
$958$	32.5064	+	9.54474i	1.05023	+	0.308377i
$959$	0.515584	+	4.04853i	0.0166491	+	0.130734i
$960$	−2.56311	+	2.22095i	−0.0827240	+	0.0716808i
$961$	−16.0867	+	8.29328i	−0.518927	+	0.267525i
$962$	7.10864	+	1.37008i	0.229192	+	0.0441731i
$963$	−8.50057	+	8.91514i	−0.273927	+	0.287286i
$964$	15.8063	+	1.50932i	0.509086	+	0.0486119i
$965$	−83.8963			−2.70072
$966$	7.37513	+	10.3251i	0.237291	+	0.332204i
$967$	19.9299			0.640902			0.320451	−	0.947265i	$-0.396166\pi$
$967$	19.9299			0.640902			0.320451	+	0.947265i	$0.396166\pi$
$968$	−22.7579	−	2.17312i	−0.731468	−	0.0698467i
$969$	3.16180	−	3.31600i	0.101572	−	0.106525i
$970$	−0.375007	−	0.0722767i	−0.0120408	−	0.00232066i
$971$	9.24074	−	4.76393i	0.296549	−	0.152882i	−0.303531	−	0.952822i	$-0.598166\pi$
$971$	9.24074	−	4.76393i	0.296549	−	0.152882i	0.600080	+	0.799940i	$0.295135\pi$
$972$	0.755750	−	0.654861i	0.0242407	−	0.0210047i
$973$	0.996009	+	0.417506i	0.0319306	+	0.0133846i
$974$	−33.4787	−	9.83023i	−1.07273	−	0.314981i
$975$	−0.242177	−	5.08391i	−0.00775586	−	0.162816i
$976$	13.9340	−	5.57832i	0.446016	−	0.178558i
$977$	−0.0348302	−	0.364758i	−0.00111432	−	0.0116697i	0.994898	−	0.100889i	$-0.0321688\pi$
$977$	−0.0348302	−	0.364758i	−0.00111432	−	0.0116697i	−0.996012	+	0.0892196i	$0.971563\pi$
$978$	−1.66201	+	1.18351i	−0.0531451	+	0.0378445i
$979$	25.3316	+	3.64213i	0.809600	+	0.116403i
$980$	−20.7394	−	11.5534i	−0.662496	−	0.369061i
$981$	−5.13376	+	17.4840i	−0.163908	+	0.558221i
$982$	−14.5310	−	5.81735i	−0.463704	−	0.185639i
$983$	16.5588	−	47.8436i	0.528144	−	1.52597i	−0.293492	−	0.955961i	$-0.594818\pi$
$983$	16.5588	−	47.8436i	0.528144	−	1.52597i	0.821637	−	0.570011i	$-0.193061\pi$
$984$	0.331586	−	6.96084i	0.0105706	−	0.221903i
$985$	9.34834	+	27.0103i	0.297863	+	0.860619i
$986$	−2.74856	+	0.807049i	−0.0875319	+	0.0257017i
$987$	−2.67916	+	23.9654i	−0.0852786	+	0.762829i
$988$			3.20414i			0.101937i
$989$	13.5841	+	20.3416i	0.431948	+	0.646826i
$990$	17.0912	−	9.86761i	0.543194	−	0.313613i
$991$	29.2337	−	41.0529i	0.928638	−	1.30409i	−0.0239145	−	0.999714i	$-0.507613\pi$
$991$	29.2337	−	41.0529i	0.928638	−	1.30409i	0.952552	−	0.304375i	$-0.0984477\pi$
$992$	3.49060	+	0.846810i	0.110827	+	0.0268862i
$993$	−0.00812552	−	0.00704080i	−0.000257855	−	0.000223433i
$994$	15.8381	+	1.01074i	0.502353	+	0.0320586i
$995$	−6.44356	−	7.43626i	−0.204274	−	0.235745i
$996$	3.38942	−	8.46637i	0.107398	−	0.268267i
$997$	−32.4387	+	7.86954i	−1.02734	+	0.249231i	−0.713805	−	0.700344i	$-0.753030\pi$
$997$	−32.4387	+	7.86954i	−1.02734	+	0.249231i	−0.313539	+	0.949575i	$0.601515\pi$
$998$	15.8254	+	8.15855i	0.500944	+	0.258255i
$999$	−7.26983	−	5.71706i	−0.230007	−	0.180880i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.be.a.19.7	✓	320
7.3	odd	6	inner	966.2.be.a.157.7	yes	320
23.17	odd	22	inner	966.2.be.a.523.7	yes	320
161.17	even	66	inner	966.2.be.a.661.7	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.be.a.19.7	✓	320	1.1	even	1	trivial
966.2.be.a.157.7	yes	320	7.3	odd	6	inner
966.2.be.a.523.7	yes	320	23.17	odd	22	inner
966.2.be.a.661.7	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)

\(f(q)\)	\(=\)	\(q+(0.995472 + 0.0950560i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(3.01447 - 1.55407i) q^{5} +(-0.755750 + 0.654861i) q^{6} +(1.02282 - 2.44005i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +O(q^{10})\)	\(q+(0.995472 + 0.0950560i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(3.01447 - 1.55407i) q^{5} +(-0.755750 + 0.654861i) q^{6} +(1.02282 - 2.44005i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +(3.14854 - 1.26049i) q^{10} +(0.553137 + 5.79271i) q^{11} +(-0.814576 + 0.580057i) q^{12} +(-0.774803 - 0.111400i) q^{13} +(1.25013 - 2.33178i) q^{14} +(-0.955490 + 3.25410i) q^{15} +(0.928368 + 0.371662i) q^{16} +(0.366097 - 1.05777i) q^{17} +(0.0475819 - 0.998867i) q^{18} +(-1.33880 - 3.86820i) q^{19} +(3.25410 - 0.955490i) q^{20} +(1.06012 + 2.42408i) q^{21} +5.81906i q^{22} +(4.57710 - 1.43185i) q^{23} +(-0.866025 + 0.500000i) q^{24} +(3.77161 - 5.29648i) q^{25} +(-0.760705 - 0.184545i) q^{26} +(0.755750 + 0.654861i) q^{27} +(1.46612 - 2.20239i) q^{28} +(-1.67592 - 1.93412i) q^{29} +(-1.26049 + 3.14854i) q^{30} +(3.49060 - 0.846810i) q^{31} +(0.888835 + 0.458227i) q^{32} +(-4.57409 - 3.59710i) q^{33} +(0.464987 - 1.01818i) q^{34} +(-0.708750 - 8.94498i) q^{35} +(0.142315 - 0.989821i) q^{36} +(-9.23805 + 0.440062i) q^{37} +(-0.965039 - 3.97795i) q^{38} +(0.615299 - 0.483877i) q^{39} +(3.33019 - 0.641842i) q^{40} +(-3.76758 + 5.86247i) q^{41} +(0.824900 + 2.51387i) q^{42} +(1.43693 + 4.89374i) q^{43} +(-0.553137 + 5.79271i) q^{44} +(-1.69574 - 2.93711i) q^{45} +(4.69248 - 0.990285i) q^{46} +(7.89340 + 4.55726i) q^{47} +(-0.909632 + 0.415415i) q^{48} +(-4.90769 - 4.99145i) q^{49} +(4.25799 - 4.91399i) q^{50} +(0.512907 + 0.994901i) q^{51} +(-0.739719 - 0.256019i) q^{52} +(-4.62796 - 5.88493i) q^{53} +(0.690079 + 0.723734i) q^{54} +(10.6697 + 16.6023i) q^{55} +(1.66883 - 2.05305i) q^{56} +(3.72342 + 1.70043i) q^{57} +(-1.48448 - 2.08466i) q^{58} +(-2.24934 - 5.61858i) q^{59} +(-1.55407 + 3.01447i) q^{60} +(10.8626 - 10.3575i) q^{61} +(3.55529 - 0.511173i) q^{62} +(-2.48595 - 0.905556i) q^{63} +(0.841254 + 0.540641i) q^{64} +(-2.50874 + 0.868284i) q^{65} +(-4.21145 - 4.01561i) q^{66} +(9.24222 + 6.58136i) q^{67} +(0.559666 - 0.969369i) q^{68} +(-2.12228 + 4.30069i) q^{69} +(0.144733 - 8.97184i) q^{70} +(2.49183 + 5.45634i) q^{71} +(0.235759 - 0.971812i) q^{72} +(-2.65932 + 13.7979i) q^{73} +(-9.23805 - 0.440062i) q^{74} +(1.23054 + 6.38463i) q^{75} +(-0.582542 - 4.05167i) q^{76} +(14.7003 + 4.57520i) q^{77} +(0.658508 - 0.423198i) q^{78} +(-6.88320 + 8.75270i) q^{79} +(3.37612 - 0.322381i) q^{80} +(-0.995472 + 0.0950560i) q^{81} +(-4.30778 + 5.47779i) q^{82} +(-7.67192 + 4.93044i) q^{83} +(0.582206 + 2.58090i) q^{84} +(-0.540254 - 3.75755i) q^{85} +(0.965245 + 5.00817i) q^{86} +(2.55630 + 0.121772i) q^{87} +(-1.10126 + 5.71390i) q^{88} +(1.03686 - 4.27400i) q^{89} +(-1.40887 - 3.08500i) q^{90} +(-1.06430 + 1.77662i) q^{91} +(4.76536 - 0.539753i) q^{92} +(-1.79592 + 3.11063i) q^{93} +(7.42446 + 5.28694i) q^{94} +(-10.0472 - 9.57999i) q^{95} +(-0.945001 + 0.327068i) q^{96} +(-0.0947321 - 0.0608806i) q^{97} +(-4.41100 - 5.43535i) q^{98} +(5.75983 - 0.828138i) 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	\( 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9} - 22 q^{14} + 16 q^{16} + 66 q^{17} + 16 q^{18} + 40 q^{23} - 48 q^{25} + 12 q^{26} + 44 q^{28} - 24 q^{29} + 24 q^{31} - 16 q^{32} + 98 q^{35} + 32 q^{36} - 22 q^{37} - 66 q^{38} - 8 q^{39} - 88 q^{43} + 4 q^{46} - 144 q^{47} - 24 q^{49} + 80 q^{50} - 22 q^{51} + 12 q^{52} + 44 q^{53} + 44 q^{57} + 10 q^{58} + 12 q^{59} - 32 q^{64} + 108 q^{70} - 16 q^{71} + 16 q^{72} - 180 q^{73} - 22 q^{74} - 12 q^{75} + 18 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 36 q^{82} + 22 q^{84} + 68 q^{85} - 22 q^{86} + 48 q^{87} + 22 q^{88} + 8 q^{92} + 8 q^{93} - 12 q^{94} + 66 q^{95} - 90 q^{98}+O(q^{100}) \) 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 + 40 * q^23 - 48 * q^25 + 12 * q^26 + 44 * q^28 - 24 * q^29 + 24 * q^31 - 16 * q^32 + 98 * q^35 + 32 * q^36 - 22 * q^37 - 66 * q^38 - 8 * q^39 - 88 * q^43 + 4 * q^46 - 144 * q^47 - 24 * q^49 + 80 * q^50 - 22 * q^51 + 12 * q^52 + 44 * q^53 + 44 * q^57 + 10 * q^58 + 12 * q^59 - 32 * q^64 + 108 * q^70 - 16 * q^71 + 16 * q^72 - 180 * q^73 - 22 * q^74 - 12 * q^75 + 18 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 36 * q^82 + 22 * q^84 + 68 * q^85 - 22 * q^86 + 48 * q^87 + 22 * q^88 + 8 * q^92 + 8 * q^93 - 12 * q^94 + 66 * q^95 - 90 * q^98

Introduction

L-functions

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