LMFDB - Embedded newform 296.2.q.a.101.30

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [296,2,Mod(85,296)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(296, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 5]))

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

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

chi := DirichletCharacter("296.85");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 296 = 2^{3} \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	296.q (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.36357189983$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$36$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			101.30
Character	$\chi$	$=$	296.101
Dual form			296.2.q.a.85.30

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.06765 - 0.927430i) q^{2} +(-0.280448 + 0.161917i) q^{3} +(0.279748 - 1.98034i) q^{4} +(1.57735 + 2.73205i) q^{5} +(-0.149254 + 0.432966i) q^{6} +(2.58572 + 4.47860i) q^{7} +(-1.53795 - 2.37375i) q^{8} +(-1.44757 + 2.50726i) q^{9} +(4.21784 + 1.45399i) q^{10} -2.54946i q^{11} +(0.242195 + 0.600678i) q^{12} +(-1.47545 - 2.55556i) q^{13} +(6.91423 + 2.38350i) q^{14} +(-0.884730 - 0.510799i) q^{15} +(-3.84348 - 1.10799i) q^{16} +(1.46355 + 0.844981i) q^{17} +(0.779813 + 4.01939i) q^{18} +(-3.12153 - 5.40664i) q^{19} +(5.85165 - 2.35940i) q^{20} +(-1.45032 - 0.837343i) q^{21} +(-2.36445 - 2.72193i) q^{22} -4.40633i q^{23} +(0.815666 + 0.416694i) q^{24} +(-2.47607 + 4.28868i) q^{25} +(-3.94537 - 1.36006i) q^{26} -1.90904i q^{27} +(9.59249 - 3.86772i) q^{28} +0.503739 q^{29} +(-1.41831 + 0.275171i) q^{30} -9.67551i q^{31} +(-5.13107 + 2.38161i) q^{32} +(0.412800 + 0.714991i) q^{33} +(2.34622 - 0.455197i) q^{34} +(-8.15718 + 14.1286i) q^{35} +(4.56027 + 3.56807i) q^{36} +(3.84713 + 4.71164i) q^{37} +(-8.34698 - 2.87740i) q^{38} +(0.827576 + 0.477801i) q^{39} +(4.05933 - 7.94601i) q^{40} +(1.45568 + 2.52132i) q^{41} +(-2.32501 + 0.451082i) q^{42} +4.61165 q^{43} +(-5.04879 - 0.713207i) q^{44} -9.13328 q^{45} +(-4.08656 - 4.70441i) q^{46} +1.20891 q^{47} +(1.25730 - 0.311590i) q^{48} +(-9.87190 + 17.0986i) q^{49} +(1.33388 + 6.87519i) q^{50} -0.547266 q^{51} +(-5.47363 + 2.20699i) q^{52} +(0.876397 + 0.505988i) q^{53} +(-1.77050 - 2.03819i) q^{54} +(6.96526 - 4.02139i) q^{55} +(6.65438 - 13.0257i) q^{56} +(1.75085 + 1.01085i) q^{57} +(0.537816 - 0.467182i) q^{58} +(-2.51343 + 4.35338i) q^{59} +(-1.25906 + 1.60917i) q^{60} +(-4.58996 - 7.95004i) q^{61} +(-8.97335 - 10.3300i) q^{62} -14.9720 q^{63} +(-3.26941 + 7.30144i) q^{64} +(4.65462 - 8.06204i) q^{65} +(1.10383 + 0.380516i) q^{66} +(-0.154158 + 0.0890031i) q^{67} +(2.08277 - 2.66194i) q^{68} +(0.713458 + 1.23575i) q^{69} +(4.39433 + 22.6496i) q^{70} +(4.55824 + 7.89510i) q^{71} +(8.17790 - 0.419878i) q^{72} +0.194978 q^{73} +(8.47710 + 1.46244i) q^{74} -1.60367i q^{75} +(-11.5802 + 4.66918i) q^{76} +(11.4180 - 6.59219i) q^{77} +(1.32669 - 0.257395i) q^{78} +(5.31272 - 3.06730i) q^{79} +(-3.03543 - 12.2483i) q^{80} +(-4.03359 - 6.98639i) q^{81} +(3.89250 + 1.34184i) q^{82} +(-4.26827 - 2.46429i) q^{83} +(-2.06395 + 2.63788i) q^{84} +5.33133i q^{85} +(4.92362 - 4.27698i) q^{86} +(-0.141273 + 0.0815637i) q^{87} +(-6.05179 + 3.92095i) q^{88} +(-9.83020 - 5.67547i) q^{89} +(-9.75113 + 8.47047i) q^{90} +(7.63023 - 13.2159i) q^{91} +(-8.72602 - 1.23266i) q^{92} +(1.56663 + 2.71348i) q^{93} +(1.29069 - 1.12118i) q^{94} +(9.84749 - 17.0564i) q^{95} +(1.05338 - 1.49873i) q^{96} -1.65814i q^{97} +(5.31806 + 27.4108i) q^{98} +(6.39215 + 3.69051i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 6 q^{2} - 2 q^{4} + 2 q^{7} + 30 q^{9} - 12 q^{12} - 6 q^{15} - 6 q^{16} - 12 q^{17} - 48 q^{18} + 18 q^{20} - 12 q^{22} - 6 q^{24} - 32 q^{25} - 16 q^{26} + 10 q^{28} - 14 q^{30} - 6 q^{32} + 4 q^{33}+ \cdots + 48 q^{98}+O(q^{100}) $ 72 * q - 6 * q^2 - 2 * q^4 + 2 * q^7 + 30 * q^9 - 12 * q^12 - 6 * q^15 - 6 * q^16 - 12 * q^17 - 48 * q^18 + 18 * q^20 - 12 * q^22 - 6 * q^24 - 32 * q^25 - 16 * q^26 + 10 * q^28 - 14 * q^30 - 6 * q^32 + 4 * q^33 + 8 * q^34 + 4 * q^36 - 24 * q^38 - 6 * q^39 - 18 * q^40 + 6 * q^42 - 10 * q^44 - 8 * q^46 + 32 * q^47 + 20 * q^48 - 18 * q^49 + 12 * q^50 + 42 * q^52 + 30 * q^54 + 24 * q^55 - 24 * q^56 - 6 * q^57 - 8 * q^58 + 32 * q^62 + 8 * q^63 - 68 * q^64 + 6 * q^65 + 20 * q^70 + 18 * q^71 + 18 * q^72 - 64 * q^73 - 12 * q^74 - 72 * q^76 + 54 * q^78 + 54 * q^79 - 16 * q^81 - 12 * q^84 + 48 * q^86 - 108 * q^87 - 36 * q^89 + 24 * q^90 - 120 * q^92 - 72 * q^94 + 50 * q^95 + 36 * q^96 + 48 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/296\mathbb{Z}\right)^\times$.

$n$	$113$	$149$	$223$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$-1$	$1$

Coefficient data

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

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

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

$2$	1.06765	−	0.927430i	0.754942	−	0.655792i
$2$	1.06765	−	0.927430i	0.754942	−	0.655792i
$3$	−0.280448	+	0.161917i	−0.161917	+	0.0934827i	−0.578769	−	0.815492i	$-0.696467\pi$
$3$	−0.280448	+	0.161917i	−0.161917	+	0.0934827i	0.416852	+	0.908974i	$0.363133\pi$
$4$	0.279748	−	1.98034i	0.139874	−	0.990169i
$5$	1.57735	+	2.73205i	0.705413	+	1.22181i	0.966542	+	0.256507i	$0.0825717\pi$
$5$	1.57735	+	2.73205i	0.705413	+	1.22181i	−0.261129	+	0.965304i	$0.584095\pi$
$6$	−0.149254	+	0.432966i	−0.0609325	+	0.176758i
$7$	2.58572	+	4.47860i	0.977311	+	1.69275i	0.672089	+	0.740470i	$0.265397\pi$
$7$	2.58572	+	4.47860i	0.977311	+	1.69275i	0.305221	+	0.952281i	$0.401270\pi$
$8$	−1.53795	−	2.37375i	−0.543748	−	0.839248i
$9$	−1.44757	+	2.50726i	−0.482522	+	0.835753i
$10$	4.21784	+	1.45399i	1.33380	+	0.459792i
$11$		−	2.54946i		−	0.768691i	−0.923189	−	0.384346i	$-0.874427\pi$
$11$		−	2.54946i		−	0.768691i	0.923189	−	0.384346i	$-0.125573\pi$
$12$	0.242195	+	0.600678i	0.0699157	+	0.173401i
$13$	−1.47545	−	2.55556i	−0.409217	−	0.708785i	0.585585	−	0.810611i	$-0.300865\pi$
$13$	−1.47545	−	2.55556i	−0.409217	−	0.708785i	−0.994802	+	0.101826i	$0.967532\pi$
$14$	6.91423	+	2.38350i	1.84791	+	0.637017i
$15$	−0.884730	−	0.510799i	−0.228436	−	0.131888i
$16$	−3.84348	−	1.10799i	−0.960870	−	0.276998i
$17$	1.46355	+	0.844981i	0.354963	+	0.204938i	0.666869	−	0.745175i	$-0.267634\pi$
$17$	1.46355	+	0.844981i	0.354963	+	0.204938i	−0.311906	+	0.950113i	$0.600967\pi$
$18$	0.779813	+	4.01939i	0.183804	+	0.947379i
$19$	−3.12153	−	5.40664i	−0.716127	−	1.24037i	−0.962523	−	0.271200i	$-0.912580\pi$
$19$	−3.12153	−	5.40664i	−0.716127	−	1.24037i	0.246396	−	0.969169i	$-0.420754\pi$
$20$	5.85165	−	2.35940i	1.30847	−	0.527578i
$21$	−1.45032	−	0.837343i	−0.316486	−	0.182723i
$22$	−2.36445	−	2.72193i	−0.504101	−	0.580317i
$23$		−	4.40633i		−	0.918782i	−0.888234	−	0.459391i	$-0.848068\pi$
$23$		−	4.40633i		−	0.918782i	0.888234	−	0.459391i	$-0.151932\pi$
$24$	0.815666	+	0.416694i	0.166497	+	0.0850573i
$25$	−2.47607	+	4.28868i	−0.495215	+	0.857737i
$26$	−3.94537	−	1.36006i	−0.773751	−	0.266730i
$27$		−	1.90904i		−	0.367395i
$28$	9.59249	−	3.86772i	1.81281	−	0.730931i
$29$	0.503739			0.0935420			0.0467710	−	0.998906i	$-0.485107\pi$
$29$	0.503739			0.0935420			0.0467710	+	0.998906i	$0.485107\pi$
$30$	−1.41831	+	0.275171i	−0.258947	+	0.0502391i
$31$		−	9.67551i		−	1.73777i	−0.495012	−	0.868886i	$-0.664836\pi$
$31$		−	9.67551i		−	1.73777i	0.495012	−	0.868886i	$-0.335164\pi$
$32$	−5.13107	+	2.38161i	−0.907054	+	0.421014i
$33$	0.412800	+	0.714991i	0.0718593	+	0.124464i
$34$	2.34622	−	0.455197i	0.402373	−	0.0780656i
$35$	−8.15718	+	14.1286i	−1.37881	+	2.38818i
$36$	4.56027	+	3.56807i	0.760044	+	0.594679i
$37$	3.84713	+	4.71164i	0.632464	+	0.774589i
$37$	3.84713	+	4.71164i	0.632464	+	0.774589i
$38$	−8.34698	−	2.87740i	−1.35406	−	0.466776i
$39$	0.827576	+	0.477801i	0.132518	+	0.0765095i
$40$	4.05933	−	7.94601i	0.641836	−	1.25637i
$41$	1.45568	+	2.52132i	0.227340	+	0.393764i	0.957019	−	0.290026i	$-0.0936639\pi$
$41$	1.45568	+	2.52132i	0.227340	+	0.393764i	−0.729679	+	0.683790i	$0.760331\pi$
$42$	−2.32501	+	0.451082i	−0.358757	+	0.0696035i
$43$	4.61165			0.703270			0.351635	−	0.936137i	$-0.385626\pi$
$43$	4.61165			0.703270			0.351635	+	0.936137i	$0.385626\pi$
$44$	−5.04879	−	0.713207i	−0.761134	−	0.107520i
$45$	−9.13328			−1.36151
$46$	−4.08656	−	4.70441i	−0.602530	−	0.693627i
$47$	1.20891			0.176337			0.0881686	−	0.996106i	$-0.471899\pi$
$47$	1.20891			0.176337			0.0881686	+	0.996106i	$0.471899\pi$
$48$	1.25730	−	0.311590i	0.181475	−	0.0449741i
$49$	−9.87190	+	17.0986i	−1.41027	+	2.44266i
$50$	1.33388	+	6.87519i	0.188639	+	0.972299i
$51$	−0.547266			−0.0766326
$52$	−5.47363	+	2.20699i	−0.759056	+	0.306054i
$53$	0.876397	+	0.505988i	0.120382	+	0.0695028i	0.558982	−	0.829180i	$-0.311192\pi$
$53$	0.876397	+	0.505988i	0.120382	+	0.0695028i	−0.438600	+	0.898683i	$0.644525\pi$
$54$	−1.77050	−	2.03819i	−0.240935	−	0.277362i
$55$	6.96526	−	4.02139i	0.939195	−	0.542245i
$56$	6.65438	−	13.0257i	0.889228	−	1.74064i
$57$	1.75085	+	1.01085i	0.231906	+	0.133891i
$58$	0.537816	−	0.467182i	0.0706187	−	0.0613441i
$59$	−2.51343	+	4.35338i	−0.327220	+	0.566762i	−0.981959	−	0.189093i	$-0.939445\pi$
$59$	−2.51343	+	4.35338i	−0.327220	+	0.566762i	0.654739	+	0.755855i	$0.272779\pi$
$60$	−1.25906	+	1.60917i	−0.162543	+	0.207743i
$61$	−4.58996	−	7.95004i	−0.587684	−	1.01790i	−0.994535	−	0.104404i	$-0.966706\pi$
$61$	−4.58996	−	7.95004i	−0.587684	−	1.01790i	0.406851	−	0.913495i	$-0.366627\pi$
$62$	−8.97335	−	10.3300i	−1.13962	−	1.31192i
$63$	−14.9720			−1.88630
$64$	−3.26941	+	7.30144i	−0.408676	+	0.912680i
$65$	4.65462	−	8.06204i	0.577334	−	0.999973i
$66$	1.10383	+	0.380516i	0.135872	+	0.0468383i
$67$	−0.154158	+	0.0890031i	−0.0188334	+	0.0108735i	−0.509387	−	0.860537i	$-0.670128\pi$
$67$	−0.154158	+	0.0890031i	−0.0188334	+	0.0108735i	0.490554	+	0.871411i	$0.336795\pi$
$68$	2.08277	−	2.66194i	0.252573	−	0.322808i
$69$	0.713458	+	1.23575i	0.0858902	+	0.148766i
$70$	4.39433	+	22.6496i	0.525222	+	2.70715i
$71$	4.55824	+	7.89510i	0.540963	+	0.936976i	0.998849	+	0.0479651i	$0.0152736\pi$
$71$	4.55824	+	7.89510i	0.540963	+	0.936976i	−0.457886	+	0.889011i	$0.651393\pi$
$72$	8.17790	−	0.419878i	0.963775	−	0.0494831i
$73$	0.194978			0.0228204			0.0114102	−	0.999935i	$-0.496368\pi$
$73$	0.194978			0.0228204			0.0114102	+	0.999935i	$0.496368\pi$
$74$	8.47710	+	1.46244i	0.985443	+	0.170005i
$75$		−	1.60367i		−	0.185176i
$76$	−11.5802	+	4.66918i	−1.32834	+	0.535592i
$77$	11.4180	−	6.59219i	1.30120	−	0.751250i
$78$	1.32669	−	0.257395i	0.150218	−	0.0291442i
$79$	5.31272	−	3.06730i	0.597728	−	0.345098i	−0.170420	−	0.985372i	$-0.554512\pi$
$79$	5.31272	−	3.06730i	0.597728	−	0.345098i	0.768147	+	0.640273i	$0.221179\pi$
$80$	−3.03543	−	12.2483i	−0.339371	−	1.36940i
$81$	−4.03359	−	6.98639i	−0.448177	−	0.776265i
$82$	3.89250	+	1.34184i	0.429855	+	0.148181i
$83$	−4.26827	−	2.46429i	−0.468504	−	0.270491i	0.247109	−	0.968988i	$-0.420519\pi$
$83$	−4.26827	−	2.46429i	−0.468504	−	0.270491i	−0.715613	+	0.698497i	$0.753853\pi$
$84$	−2.06395	+	2.63788i	−0.225195	+	0.287816i
$85$			5.33133i			0.578263i
$86$	4.92362	−	4.27698i	0.530928	−	0.461198i
$87$	−0.141273	+	0.0815637i	−0.0151460	+	0.00874455i
$88$	−6.05179	+	3.92095i	−0.645123	+	0.417974i
$89$	−9.83020	−	5.67547i	−1.04200	−	0.601599i	−0.121600	−	0.992579i	$-0.538803\pi$
$89$	−9.83020	−	5.67547i	−1.04200	−	0.601599i	−0.920399	+	0.390981i	$0.872136\pi$
$90$	−9.75113	+	8.47047i	−1.02786	+	0.892866i
$91$	7.63023	−	13.2159i	0.799865	−	1.38541i
$92$	−8.72602	−	1.23266i	−0.909750	−	0.128514i
$93$	1.56663	+	2.71348i	0.162452	+	0.281374i
$94$	1.29069	−	1.12118i	0.133124	−	0.115640i
$95$	9.84749	−	17.0564i	1.01033	−	1.74994i
$96$	1.05338	−	1.49873i	0.107510	−	0.152963i
$97$		−	1.65814i		−	0.168359i	−0.996451	−	0.0841794i	$-0.973173\pi$
$97$		−	1.65814i		−	0.168359i	0.996451	−	0.0841794i	$-0.0268269\pi$
$98$	5.31806	+	27.4108i	0.537205	+	2.76891i
$99$	6.39215	+	3.69051i	0.642436	+	0.370910i
$100$	7.80037	+	6.10321i	0.780037	+	0.610321i
$101$			15.5175i			1.54404i	0.635596	+	0.772022i	$0.280755\pi$
$101$			15.5175i			1.54404i	−0.635596	+	0.772022i	$0.719245\pi$
$102$	−0.584288	+	0.507551i	−0.0578531	+	0.0502550i
$103$			3.35693i			0.330768i	0.986229	+	0.165384i	$0.0528864\pi$
$103$			3.35693i			0.330768i	−0.986229	+	0.165384i	$0.947114\pi$
$104$	−3.79709	+	7.43270i	−0.372336	+	0.728836i
$105$		−	5.28313i		−	0.515581i
$106$	1.40495	−	0.272579i	0.136461	−	0.0264752i
$107$	−10.2898	+	5.94081i	−0.994751	+	0.574320i	−0.906691	−	0.421795i	$-0.861400\pi$
$107$	−10.2898	+	5.94081i	−0.994751	+	0.574320i	−0.0880600	+	0.996115i	$0.528067\pi$
$108$	−3.78055	−	0.534051i	−0.363783	−	0.0513890i
$109$	−2.97117	+	5.14621i	−0.284586	+	0.492918i	−0.972509	−	0.232866i	$-0.925190\pi$
$109$	−2.97117	+	5.14621i	−0.284586	+	0.492918i	0.687923	+	0.725784i	$0.258523\pi$
$110$	3.70689	−	10.7532i	0.353438	−	1.02528i
$111$	−1.84181	−	0.698456i	−0.174817	−	0.0662945i
$112$	−4.97592	−	20.0784i	−0.470180	−	1.89723i
$113$	10.2224	+	5.90190i	0.961641	+	0.555204i	0.896678	−	0.442684i	$-0.145974\pi$
$113$	10.2224	+	5.90190i	0.961641	+	0.555204i	0.0649636	+	0.997888i	$0.479307\pi$
$114$	2.80679	−	0.544554i	0.262880	−	0.0510022i
$115$	12.0383	−	6.95032i	1.12258	−	0.648121i
$116$	0.140920	−	0.997574i	0.0130841	−	0.0926224i
$117$	8.54327			0.789826
$118$	1.35400	+	6.97891i	0.124646	+	0.642461i
$119$			8.73954i			0.801152i
$120$	0.148161	+	2.88571i	0.0135252	+	0.263428i
$121$	4.50025			0.409114
$122$	−12.2736	−	4.23099i	−1.11120	−	0.383056i
$123$	−0.816487	−	0.471399i	−0.0736201	−	0.0425046i
$124$	−19.1608	−	2.70671i	−1.72069	−	0.243069i
$125$	0.150966			0.0135028
$126$	−15.9848	+	13.8855i	−1.42404	+	1.23702i
$127$	1.81165	−	3.13788i	0.160758	−	0.278441i	−0.774383	−	0.632718i	$-0.781939\pi$
$127$	1.81165	−	3.13788i	0.160758	−	0.278441i	0.935141	+	0.354276i	$0.115273\pi$
$128$	3.28099	+	10.8275i	0.290001	+	0.957026i
$129$	−1.29333	+	0.746703i	−0.113871	+	0.0657435i
$130$	−2.50747	−	12.9243i	−0.219920	−	1.13353i
$131$	−3.83530	+	6.64294i	−0.335092	+	0.580397i	−0.983503	−	0.180894i	$-0.942101\pi$
$131$	−3.83530	+	6.64294i	−0.335092	+	0.580397i	0.648410	+	0.761291i	$0.275434\pi$
$132$	1.53140	−	0.617467i	0.133292	−	0.0537436i
$133$	16.1428	−	27.9601i	1.39976	−	2.42445i
$134$	−0.0820424	+	0.237995i	−0.00708738	+	0.0205596i
$135$	5.21560	−	3.01123i	0.448887	−	0.259165i
$136$	−0.245094	−	4.77365i	−0.0210166	−	0.409337i
$137$	−8.85279			−0.756345			−0.378172	−	0.925735i	$-0.623447\pi$
$137$	−8.85279			−0.756345			−0.378172	+	0.925735i	$0.623447\pi$
$138$	1.90779	+	0.657660i	0.162402	+	0.0559837i
$139$	−12.6334	−	7.29392i	−1.07155	−	0.618662i	−0.142949	−	0.989730i	$-0.545658\pi$
$139$	−12.6334	−	7.29392i	−1.07155	−	0.618662i	−0.928606	+	0.371068i	$0.878992\pi$
$140$	25.6976	+	20.1064i	2.17184	+	1.69930i
$141$	−0.339035	+	0.195742i	−0.0285519	+	0.0164845i
$142$	12.1888	+	4.20175i	1.02286	+	0.352603i
$143$	−6.51530	+	3.76161i	−0.544837	+	0.314562i
$144$	8.34172	−	8.03271i	0.695143	−	0.669392i
$145$	0.794573	+	1.37624i	0.0659857	+	0.114291i
$146$	0.208168	−	0.180828i	0.0172281	−	0.0149654i
$147$		−	6.39370i		−	0.527344i
$148$	10.4069	−	6.30055i	0.855440	−	0.517902i
$149$			9.14734i			0.749380i	0.927150	+	0.374690i	$0.122251\pi$
$149$			9.14734i			0.749380i	−0.927150	+	0.374690i	$0.877749\pi$
$150$	−1.48729	−	1.71216i	−0.121437	−	0.139797i
$151$	−7.97326	−	13.8101i	−0.648855	−	1.12385i	−0.983397	−	0.181469i	$-0.941915\pi$
$151$	−7.97326	−	13.8101i	−0.648855	−	1.12385i	0.334542	−	0.942381i	$-0.391418\pi$
$152$	−8.03328	+	15.7249i	−0.651585	+	1.27546i
$153$	−4.23717	+	2.44633i	−0.342555	+	0.197774i
$154$	6.07663	−	17.6276i	0.489669	−	1.42047i
$155$	26.4340	−	15.2617i	2.12323	−	1.22585i
$156$	1.17772	−	1.50522i	0.0942932	−	0.120514i
$157$	−9.75509	−	5.63210i	−0.778541	−	0.449491i	0.0573722	−	0.998353i	$-0.481728\pi$
$157$	−9.75509	−	5.63210i	−0.778541	−	0.449491i	−0.835913	+	0.548862i	$0.815061\pi$
$158$	2.82741	−	8.20197i	0.224937	−	0.652514i
$159$	−0.327712			−0.0259892
$160$	−14.6002	−	10.2617i	−1.15425	−	0.811260i
$161$	19.7342	−	11.3935i	1.55527	−	0.897936i
$162$	−10.7858	−	3.71813i	−0.847416	−	0.292124i
$163$	−8.77632	+	15.2010i	−0.687415	+	1.19064i	0.285257	+	0.958451i	$0.407921\pi$
$163$	−8.77632	+	15.2010i	−0.687415	+	1.19064i	−0.972671	+	0.232186i	$0.925412\pi$
$164$	5.40029	−	2.17741i	0.421692	−	0.170027i
$165$	−1.30226	+	2.25558i	−0.101381	+	0.175597i
$166$	−6.84247	+	1.32753i	−0.531079	+	0.103036i
$167$	−10.3009	+	5.94724i	−0.797109	+	0.460211i	−0.842459	−	0.538760i	$-0.818893\pi$
$167$	−10.3009	+	5.94724i	−0.797109	+	0.460211i	0.0453504	+	0.998971i	$0.485560\pi$
$168$	0.242878	+	4.73050i	0.0187384	+	0.364966i
$169$	2.14607	−	3.71710i	0.165082	−	0.285931i
$170$	4.94443	+	5.69198i	0.379220	+	0.436555i
$171$	18.0745			1.38219
$172$	1.29010	−	9.13262i	0.0983692	−	0.696356i
$173$	17.0813	+	9.86192i	1.29867	+	0.749788i	0.980174	−	0.198137i	$-0.0634889\pi$
$173$	17.0813	+	9.86192i	1.29867	+	0.749788i	0.318496	+	0.947924i	$0.396822\pi$
$174$	−0.0751848	+	0.218102i	−0.00569975	+	0.0165343i
$175$	−25.6097			−1.93591
$176$	−2.82478	+	9.79880i	−0.212926	+	0.738613i
$177$		−	1.62786i		−	0.122358i
$178$	−15.7588	+	3.05741i	−1.18117	+	0.229163i
$179$	1.49636			0.111843			0.0559217	−	0.998435i	$-0.482190\pi$
$179$	1.49636			0.111843			0.0559217	+	0.998435i	$0.482190\pi$
$180$	−2.55502	+	18.0870i	−0.190440	+	1.34812i
$181$	17.2809	−	9.97716i	1.28448	−	0.741596i	0.306818	−	0.951768i	$-0.400736\pi$
$181$	17.2809	−	9.97716i	1.28448	−	0.741596i	0.977664	+	0.210172i	$0.0674024\pi$
$182$	−4.11045	−	21.1865i	−0.304687	−	1.57045i
$183$	2.57449	+	1.48638i	0.190312	+	0.109877i
$184$	−10.4595	+	6.77672i	−0.771087	+	0.499586i
$185$	−6.80418	+	17.9425i	−0.500253	+	1.31916i
$186$	4.18917	+	1.44410i	0.307165	+	0.105887i
$187$	2.15425	−	3.73126i	0.157534	−	0.272857i
$188$	0.338189	−	2.39404i	0.0246650	−	0.174604i
$189$	8.54983	−	4.93625i	0.621909	−	0.359059i
$190$	−5.30491	−	27.3430i	−0.384858	−	1.98367i
$191$			23.8718i			1.72731i	0.504087	+	0.863653i	$0.331829\pi$
$191$			23.8718i			1.72731i	−0.504087	+	0.863653i	$0.668171\pi$
$192$	−0.265326	−	2.57704i	−0.0191483	−	0.185982i
$193$		−	5.90982i		−	0.425398i	−0.977118	−	0.212699i	$-0.931775\pi$
$193$		−	5.90982i		−	0.425398i	0.977118	−	0.212699i	$-0.0682254\pi$
$194$	−1.53781	−	1.77031i	−0.110408	−	0.127101i
$195$			3.01464i			0.215883i
$196$	31.0994	+	24.3330i	2.22139	+	1.73807i
$197$	−19.4059	−	11.2040i	−1.38262	−	0.798253i	−0.390146	−	0.920753i	$-0.627576\pi$
$197$	−19.4059	−	11.2040i	−1.38262	−	0.798253i	−0.992469	+	0.122500i	$0.960909\pi$
$198$	10.2473	−	1.98810i	0.728242	−	0.141288i
$199$		−	15.4835i		−	1.09760i	−0.835955	−	0.548799i	$-0.815085\pi$
$199$		−	15.4835i		−	1.09760i	0.835955	−	0.548799i	$-0.184915\pi$
$200$	13.9884	−	0.718205i	0.989126	−	0.0507848i
$201$	0.0288222	−	0.0499215i	0.00203296	−	0.00352119i
$202$	14.3913	+	16.5672i	1.01257	+	1.16566i
$203$	1.30253	+	2.25604i	0.0914196	+	0.158343i
$204$	−0.153097	+	1.08377i	−0.0107189	+	0.0758792i
$205$	−4.59225	+	7.95401i	−0.320736	+	0.555532i
$206$	3.11332	+	3.58402i	0.216915	+	0.249711i
$207$	11.0478	+	6.37845i	0.767875	+	0.443333i
$208$	2.83934	+	11.4570i	0.196873	+	0.794403i
$209$	−13.7840	+	7.95821i	−0.953461	+	0.550481i
$210$	−4.89974	−	5.64053i	−0.338114	−	0.389234i
$211$			11.6397i			0.801311i	0.916229	+	0.400655i	$0.131218\pi$
$211$			11.6397i			0.801311i	−0.916229	+	0.400655i	$0.868782\pi$
$212$	1.24720	−	1.59401i	0.0856580	−	0.109477i
$213$	−2.55670	−	1.47611i	−0.175182	−	0.101141i
$214$	−5.47619	+	15.8858i	−0.374345	+	1.08593i
$215$	7.27419	+	12.5993i	0.496095	+	0.859262i
$216$	−4.53159	+	2.93601i	−0.308336	+	0.199770i
$217$	43.3327	−	25.0182i	2.94162	−	1.69834i
$218$	1.60059	+	8.24990i	0.108405	+	0.558754i
$219$	−0.0546811	+	0.0315701i	−0.00369501	+	0.00213331i
$220$	−6.01520	−	14.9185i	−0.405545	−	1.00581i
$221$		−	4.98692i		−	0.335457i
$222$	−2.61418	+	0.962447i	−0.175452	+	0.0645952i
$223$	13.5559			0.907771			0.453885	−	0.891060i	$-0.350038\pi$
$223$	13.5559			0.907771			0.453885	+	0.891060i	$0.350038\pi$
$224$	−23.9338	−	16.8218i	−1.59915	−	1.12396i
$225$	−7.16856	−	12.4163i	−0.477904	−	0.827754i
$226$	16.3875	−	3.17939i	1.09008	−	0.211490i
$227$	2.31283	+	4.00593i	0.153508	+	0.265883i	0.932515	−	0.361132i	$-0.117610\pi$
$227$	2.31283	+	4.00593i	0.153508	+	0.265883i	−0.779007	+	0.627015i	$0.784276\pi$
$228$	2.49163	−	3.18449i	0.165012	−	0.210898i
$229$	−17.8049	+	10.2797i	−1.17658	+	0.679299i	−0.955221	−	0.295894i	$-0.904383\pi$
$229$	−17.8049	+	10.2797i	−1.17658	+	0.679299i	−0.221359	+	0.975192i	$0.571049\pi$
$230$	6.40675	−	18.5852i	0.422449	−	1.22547i
$231$	−2.13477	+	3.69753i	−0.140458	+	0.243280i
$232$	−0.774726	−	1.19575i	−0.0508633	−	0.0785049i
$233$	11.0844			0.726163			0.363082	−	0.931757i	$-0.381725\pi$
$233$	11.0844			0.726163			0.363082	+	0.931757i	$0.381725\pi$
$234$	9.12121	−	7.92328i	0.596272	−	0.517961i
$235$	1.90687	+	3.30280i	0.124390	+	0.215451i
$236$	7.91804	+	6.19528i	0.515421	+	0.403279i
$237$	−0.993294	+	1.72044i	−0.0645214	+	0.111754i
$238$	8.10531	+	9.33076i	0.525389	+	0.604823i
$239$	18.7076	+	10.8008i	1.21009	+	0.698647i	0.962779	−	0.270288i	$-0.0871190\pi$
$239$	18.7076	+	10.8008i	1.21009	+	0.698647i	0.247313	+	0.968936i	$0.420452\pi$
$240$	2.83448	+	2.94352i	0.182965	+	0.190003i
$241$	−5.95905	+	3.44046i	−0.383856	+	0.221620i	−0.679495	−	0.733680i	$-0.737801\pi$
$241$	−5.95905	+	3.44046i	−0.383856	+	0.221620i	0.295638	+	0.955300i	$0.404468\pi$
$242$	4.80469	−	4.17367i	0.308857	−	0.268294i
$243$	7.22226	+	4.16977i	0.463308	+	0.267491i
$244$	−17.0278	+	6.86566i	−1.09009	+	0.439529i
$245$	−62.2858			−3.97930
$246$	−1.30891	+	0.253946i	−0.0834531	+	0.0161910i
$247$	−9.21134	+	15.9545i	−0.586104	+	1.01516i
$248$	−22.9673	+	14.8805i	−1.45842	+	0.944911i
$249$	1.59604			0.101145
$250$	0.161179	−	0.140010i	0.0101938	−	0.00885503i
$251$	−15.6550			−0.988137			−0.494069	−	0.869423i	$-0.664491\pi$
$251$	−15.6550			−0.988137			−0.494069	+	0.869423i	$0.664491\pi$
$252$	−4.18839	+	29.6496i	−0.263844	+	1.86775i
$253$	−11.2338			−0.706260
$254$	−0.975950	−	5.03033i	−0.0612365	−	0.315631i
$255$	−0.863231	−	1.49516i	−0.0540576	−	0.0936305i
$256$	13.5447	+	8.51710i	0.846544	+	0.532319i
$257$	−25.1813	−	14.5384i	−1.57077	−	0.906882i	−0.996075	−	0.0885103i	$-0.971789\pi$
$257$	−25.1813	−	14.5384i	−1.57077	−	0.906882i	−0.574690	−	0.818371i	$-0.694877\pi$
$258$	−0.688305	+	1.99669i	−0.0428520	+	0.124308i
$259$	−11.1540	+	29.4128i	−0.693073	+	1.82762i
$260$	−14.6634	−	11.4731i	−0.909388	−	0.711529i
$261$	−0.729195	+	1.26300i	−0.0451361	+	0.0781779i
$262$	2.06610	+	10.6493i	0.127644	+	0.657916i
$263$	−10.4049	−	18.0217i	−0.641591	−	1.11127i	−0.985078	−	0.172111i	$-0.944941\pi$
$263$	−10.4049	−	18.0217i	−0.641591	−	1.11127i	0.343486	−	0.939158i	$-0.388392\pi$
$264$	1.06234	−	2.07951i	0.0653828	−	0.127985i
$265$			3.19248i			0.196113i
$266$	−8.69623	−	44.8229i	−0.533200	−	2.74827i
$267$	3.67581			0.224956
$268$	0.133131	+	0.330183i	0.00813227	+	0.0201692i
$269$			8.88653i			0.541821i	0.962604	+	0.270911i	$0.0873248\pi$
$269$			8.88653i			0.541821i	−0.962604	+	0.270911i	$0.912675\pi$
$270$	2.77573	−	8.05203i	0.168925	−	0.490031i
$271$	−5.21967	+	9.04074i	−0.317072	+	0.549186i	−0.979876	−	0.199608i	$-0.936033\pi$
$271$	−5.21967	+	9.04074i	−0.317072	+	0.549186i	0.662803	+	0.748793i	$0.269367\pi$
$272$	−4.68889	−	4.86927i	−0.284306	−	0.295243i
$273$			4.94184i			0.299094i
$274$	−9.45167	+	8.21034i	−0.570996	+	0.496005i
$275$	10.9338	+	6.31265i	0.659335	+	0.380667i
$276$	2.64678	−	1.06719i	0.159318	−	0.0642373i
$277$	−12.7299	−	22.0489i	−0.764866	−	1.32479i	−0.940317	−	0.340299i	$-0.889472\pi$
$277$	−12.7299	−	22.0489i	−0.764866	−	1.32479i	0.175451	−	0.984488i	$-0.443862\pi$
$278$	−20.2527	+	3.92928i	−1.21467	+	0.235663i
$279$	24.2590	+	14.0059i	1.45235	+	0.838514i
$280$	46.0833	−	2.36606i	2.75400	−	0.141399i
$281$	−8.51064	−	4.91362i	−0.507702	−	0.293122i	0.224186	−	0.974546i	$-0.428028\pi$
$281$	−8.51064	−	4.91362i	−0.507702	−	0.293122i	−0.731889	+	0.681424i	$0.761361\pi$
$282$	−0.180434	+	0.523415i	−0.0107447	+	0.0311689i
$283$	−9.41689	−	16.3105i	−0.559776	−	0.969561i	−0.997515	−	0.0704586i	$-0.977554\pi$
$283$	−9.41689	−	16.3105i	−0.559776	−	0.969561i	0.437738	−	0.899102i	$-0.355780\pi$
$284$	16.9101	−	6.81822i	1.00343	−	0.404587i
$285$			6.37789i			0.377794i
$286$	−3.46743	+	10.0586i	−0.205033	+	0.594776i
$287$	−7.52798	+	13.0388i	−0.444363	+	0.769659i
$288$	1.45625	−	16.3125i	0.0858104	−	0.961221i
$289$	−7.07201	−	12.2491i	−0.416001	−	0.720535i
$290$	2.12469	+	0.732431i	0.124766	+	0.0430099i
$291$	0.268481	+	0.465023i	0.0157386	+	0.0272601i
$292$	0.0545447	−	0.386122i	0.00319198	−	0.0225961i
$293$	25.3829	−	14.6548i	1.48288	−	0.856143i	0.483072	−	0.875581i	$-0.339521\pi$
$293$	25.3829	−	14.6548i	1.48288	−	0.856143i	0.999811	+	0.0194377i	$0.00618760\pi$
$294$	−5.92971	−	6.82623i	−0.345828	−	0.398114i
$295$	−15.8582			−0.923301
$296$	5.26758	−	16.3784i	0.306172	−	0.951976i
$297$	−4.86702			−0.282413
$298$	8.48352	+	9.76615i	0.491437	+	0.565738i
$299$	−11.2606	+	6.50133i	−0.651220	+	0.375982i
$300$	−3.17581	−	0.448624i	−0.183355	−	0.0259013i
$301$	11.9244	+	20.6537i	0.687313	+	1.19046i
$302$	−21.3205	−	7.34969i	−1.22686	−	0.422927i
$303$	−2.51253	−	4.35184i	−0.144341	−	0.250007i
$304$	6.00701	+	24.2390i	0.344526	+	1.39020i
$305$	14.4800	−	25.0800i	0.829120	−	1.43608i
$306$	−2.25501	+	6.54150i	−0.128910	+	0.373953i
$307$		−	17.8500i		−	1.01876i	−0.860543	−	0.509378i	$-0.829876\pi$
$307$		−	17.8500i		−	1.01876i	0.860543	−	0.509378i	$-0.170124\pi$
$308$	−9.86060	−	24.4557i	−0.561860	−	1.39349i
$309$	−0.543543	−	0.941444i	−0.0309211	−	0.0535569i
$310$	14.0681	−	40.8098i	0.799014	−	2.31784i
$311$	14.4345	+	8.33375i	0.818504	+	0.472563i	0.849900	−	0.526944i	$-0.176662\pi$
$311$	14.4345	+	8.33375i	0.818504	+	0.472563i	−0.0313963	+	0.999507i	$0.509995\pi$
$312$	−0.138590	−	2.69930i	−0.00784612	−	0.152818i
$313$	−6.13913	−	3.54443i	−0.347004	−	0.200343i	0.316361	−	0.948639i	$-0.397539\pi$
$313$	−6.13913	−	3.54443i	−0.347004	−	0.200343i	−0.663365	+	0.748296i	$0.730872\pi$
$314$	−15.6384	+	3.03405i	−0.882525	+	0.171221i
$315$	−23.6161	−	40.9043i	−1.33062	−	2.30470i
$316$	−4.58807	−	11.3791i	−0.258099	−	0.640122i
$317$	15.4923	+	8.94448i	0.870134	+	0.502372i	0.867393	−	0.497624i	$-0.165794\pi$
$317$	15.4923	+	8.94448i	0.870134	+	0.502372i	0.00274137	+	0.999996i	$0.499127\pi$
$318$	−0.349881	+	0.303930i	−0.0196204	+	0.0170435i
$319$		−	1.28426i		−	0.0719049i
$320$	−25.1049	+	2.58474i	−1.40341	+	0.144491i
$321$	1.92383	−	3.33218i	0.107378	−	0.185984i
$322$	10.5025	−	30.4663i	0.585280	−	1.69782i
$323$		−	10.5505i		−	0.587047i
$324$	−14.9638	+	6.03345i	−0.831322	+	0.335192i
$325$	14.6133			0.810602
$326$	4.72786	+	24.3688i	0.261852	+	1.34966i
$327$		−	1.92433i		−	0.106416i
$328$	3.74621	−	7.33310i	0.206850	−	0.404903i
$329$	3.12589	+	5.41421i	0.172336	+	0.298495i
$330$	0.701537	+	3.61593i	0.0386183	+	0.199050i
$331$	−2.43493	+	4.21743i	−0.133836	+	0.231811i	−0.925152	−	0.379596i	$-0.876063\pi$
$331$	−2.43493	+	4.21743i	−0.133836	+	0.231811i	0.791316	+	0.611407i	$0.209396\pi$
$332$	−6.07417	+	7.76325i	−0.333363	+	0.426064i
$333$	−17.3823	+	2.82533i	−0.952543	+	0.154827i
$334$	−5.48212	+	15.9029i	−0.299968	+	0.870170i
$335$	−0.486322	−	0.280778i	−0.0265706	−	0.0153406i
$336$	4.64651	+	4.82526i	0.253488	+	0.263239i
$337$	9.99717	+	17.3156i	0.544581	+	0.943241i	0.998633	+	0.0522665i	$0.0166445\pi$
$337$	9.99717	+	17.3156i	0.544581	+	0.943241i	−0.454052	+	0.890975i	$0.650022\pi$
$338$	−1.15610	−	5.95888i	−0.0628836	−	0.324121i
$339$	−3.82246			−0.207608
$340$	10.5578	+	1.49143i	0.572579	+	0.0808841i
$341$	−24.6673			−1.33581
$342$	19.2972	−	16.7628i	1.04347	−	0.906428i
$343$	−65.9039			−3.55847
$344$	−7.09249	−	10.9469i	−0.382402	−	0.590218i
$345$	−2.25075	+	3.89841i	−0.121176	+	0.209883i
$346$	27.3831	−	5.31268i	1.47213	−	0.285611i
$347$	9.86752			0.529716			0.264858	−	0.964287i	$-0.414675\pi$
$347$	9.86752			0.529716			0.264858	+	0.964287i	$0.414675\pi$
$348$	0.122003	+	0.302585i	0.00654005	+	0.0162202i
$349$	18.7838	+	10.8448i	1.00547	+	0.580510i	0.909863	−	0.414909i	$-0.136186\pi$
$349$	18.7838	+	10.8448i	1.00547	+	0.580510i	0.0956101	+	0.995419i	$0.469520\pi$
$350$	−27.3422	+	23.7512i	−1.46150	+	1.26956i
$351$	−4.87867	+	2.81670i	−0.260404	+	0.150344i
$352$	6.07183	+	13.0815i	0.323629	+	0.697245i
$353$	18.9890	+	10.9633i	1.01068	+	0.583518i	0.911391	−	0.411541i	$-0.135009\pi$
$353$	18.9890	+	10.9633i	1.01068	+	0.583518i	0.0992911	+	0.995058i	$0.468342\pi$
$354$	−1.50973	−	1.73799i	−0.0802411	−	0.0923729i
$355$	−14.3799	+	24.9067i	−0.763205	+	1.32191i
$356$	−13.9893	+	17.8794i	−0.741433	+	0.947608i
$357$	−1.41508	−	2.45099i	−0.0748938	−	0.129720i
$358$	1.59759	−	1.38777i	0.0844353	−	0.0733460i
$359$	6.36506			0.335935			0.167967	−	0.985793i	$-0.446280\pi$
$359$	6.36506			0.335935			0.167967	+	0.985793i	$0.446280\pi$
$360$	14.0465	+	21.6801i	0.740318	+	1.14264i
$361$	−9.98786	+	17.2995i	−0.525677	+	0.910499i
$362$	9.19687	−	26.6790i	0.483377	−	1.40221i
$363$	−1.26209	+	0.728666i	−0.0662424	+	0.0382450i
$364$	−24.0375	−	18.8076i	−1.25991	−	0.985784i
$365$	0.307548	+	0.532689i	0.0160978	+	0.0278822i
$366$	4.12717	−	0.800724i	0.215730	−	0.0418545i
$367$	5.94593	+	10.2987i	0.310375	+	0.537585i	0.978444	−	0.206514i	$-0.0662120\pi$
$367$	5.94593	+	10.2987i	0.310375	+	0.537585i	−0.668069	+	0.744100i	$0.732879\pi$
$368$	−4.88217	+	16.9356i	−0.254501	+	0.882831i
$369$	−8.42879			−0.438785
$370$	9.37591	+	25.4667i	0.487430	+	1.32395i
$371$			5.23338i			0.271703i
$372$	5.81186	−	2.34336i	0.301331	−	0.121498i
$373$	6.92184	−	3.99633i	0.358399	−	0.206922i	−0.309979	−	0.950743i	$-0.600322\pi$
$373$	6.92184	−	3.99633i	0.358399	−	0.206922i	0.668378	+	0.743821i	$0.266989\pi$
$374$	−1.16051	−	5.98159i	−0.0600083	−	0.309301i
$375$	−0.0423381	+	0.0244439i	−0.00218633	+	0.00126228i
$376$	−1.85924	−	2.86965i	−0.0958830	−	0.147991i
$377$	−0.743244	−	1.28734i	−0.0382790	−	0.0663012i
$378$	4.55019	−	13.1995i	0.234037	−	0.678911i
$379$	8.90044	+	5.13867i	0.457185	+	0.263956i	0.710860	−	0.703334i	$-0.248306\pi$
$379$	8.90044	+	5.13867i	0.457185	+	0.263956i	−0.253675	+	0.967289i	$0.581639\pi$
$380$	−31.0225	−	24.2728i	−1.59142	−	1.24517i
$381$			1.17335i			0.0601124i
$382$	22.1395	+	25.4867i	1.13275	+	1.30402i
$383$	−12.9884	+	7.49887i	−0.663678	+	0.383175i	−0.793677	−	0.608340i	$-0.791836\pi$
$383$	−12.9884	+	7.49887i	−0.663678	+	0.383175i	0.129999	+	0.991514i	$0.458503\pi$
$384$	−2.67330	−	2.50531i	−0.136421	−	0.127848i
$385$	36.0204	+	20.7964i	1.83577	+	1.05988i
$386$	−5.48094	−	6.30961i	−0.278973	−	0.321151i
$387$	−6.67566	+	11.5626i	−0.339343	+	0.587759i
$388$	−3.28368	−	0.463862i	−0.166704	−	0.0235490i
$389$	18.5866	+	32.1929i	0.942377	+	1.63225i	0.760919	+	0.648847i	$0.224748\pi$
$389$	18.5866	+	32.1929i	0.942377	+	1.63225i	0.181458	+	0.983399i	$0.441918\pi$
$390$	2.79587	+	3.21858i	0.141574	+	0.162979i
$391$	3.72326	−	6.44888i	0.188293	−	0.326134i
$392$	55.7705	−	2.86343i	2.81683	−	0.144625i
$393$		−	2.48400i		−	0.125301i
$394$	−31.1097	+	6.03568i	−1.56728	+	0.304073i
$395$	16.7600	+	9.67642i	0.843289	+	0.486873i
$396$	9.09666	−	11.6262i	0.457124	−	0.584239i
$397$		−	21.0643i		−	1.05719i	−0.848875	−	0.528594i	$-0.822719\pi$
$397$		−	21.0643i		−	1.05719i	0.848875	−	0.528594i	$-0.177281\pi$
$398$	−14.3599	−	16.5310i	−0.719795	−	0.828622i
$399$			10.4552i			0.523412i
$400$	14.2686	−	13.7400i	0.713428	−	0.687000i
$401$			11.5949i			0.579020i	0.957175	+	0.289510i	$0.0934923\pi$
$401$			11.5949i			0.579020i	−0.957175	+	0.289510i	$0.906508\pi$
$402$	−0.0155267	−	0.0800292i	−0.000774401	−	0.00399149i
$403$	−24.7264	+	14.2758i	−1.23171	+	0.711127i
$404$	30.7298	+	4.34098i	1.52887	+	0.215972i
$405$	12.7248	−	22.0400i	0.632300	−	1.09517i
$406$	3.48297	+	1.20066i	0.172857	+	0.0595878i
$407$	12.0121	−	9.80811i	0.595420	−	0.486170i
$408$	0.841669	+	1.29907i	0.0416688	+	0.0643138i
$409$	22.5907	+	13.0428i	1.11704	+	0.644923i	0.940643	−	0.339397i	$-0.110223\pi$
$409$	22.5907	+	13.0428i	1.11704	+	0.644923i	0.176395	+	0.984319i	$0.443556\pi$
$410$	2.47387	+	12.7511i	0.122176	+	0.629731i
$411$	2.48275	−	1.43341i	0.122465	−	0.0707051i
$412$	6.64786	+	0.939095i	0.327517	+	0.0462659i
$413$	−25.9961			−1.27918
$414$	17.7107	−	3.43611i	0.870435	−	0.168876i
$415$		−	15.5482i		−	0.763231i
$416$	13.6570	+	9.59882i	0.669591	+	0.470621i
$417$	4.72403			0.231337
$418$	−7.33582	+	21.2803i	−0.358807	+	1.04085i
$419$	−6.29698	−	3.63556i	−0.307628	−	0.177609i	0.338237	−	0.941061i	$-0.390170\pi$
$419$	−6.29698	−	3.63556i	−0.307628	−	0.177609i	−0.645864	+	0.763452i	$0.723503\pi$
$420$	−10.4624	−	1.47795i	−0.510513	−	0.0721164i
$421$	17.8886			0.871837			0.435918	−	0.899986i	$-0.356424\pi$
$421$	17.8886			0.871837			0.435918	+	0.899986i	$0.356424\pi$
$422$	10.7950	+	12.4271i	0.525493	+	0.604943i
$423$	−1.74997	+	3.03104i	−0.0850865	+	0.147374i
$424$	−0.146766	−	2.85854i	−0.00712759	−	0.138823i
$425$	−7.24771	+	4.18447i	−0.351566	+	0.202977i
$426$	−4.09864	+	0.795190i	−0.198580	+	0.0385271i
$427$	23.7367	−	41.1132i	1.14870	−	1.98961i
$428$	8.88627	+	22.0392i	0.429534	+	1.06530i
$429$	1.21814	−	2.10987i	0.0588121	−	0.101866i
$430$	19.4512	+	6.70529i	0.938020	+	0.323358i
$431$	11.1425	−	6.43315i	0.536717	−	0.309874i	−0.207030	−	0.978335i	$-0.566380\pi$
$431$	11.1425	−	6.43315i	0.536717	−	0.309874i	0.743747	+	0.668461i	$0.233047\pi$
$432$	−2.11520	+	7.33736i	−0.101768	+	0.353019i
$433$	−0.618122			−0.0297051			−0.0148525	−	0.999890i	$-0.504728\pi$
$433$	−0.618122			−0.0297051			−0.0148525	+	0.999890i	$0.504728\pi$
$434$	23.0616	−	66.8987i	1.10699	−	3.21124i
$435$	−0.445673	−	0.257309i	−0.0213684	−	0.0123370i
$436$	9.36007	+	7.32356i	0.448266	+	0.350735i
$437$	−23.8234	+	13.7545i	−1.13963	+	0.657965i
$438$	−0.0291011	+	0.0844187i	−0.00139051	+	0.00403368i
$439$	2.99633	−	1.72993i	0.143007	−	0.0825651i	−0.426789	−	0.904351i	$-0.640355\pi$
$439$	2.99633	−	1.72993i	0.143007	−	0.0825651i	0.569796	+	0.821786i	$0.307022\pi$
$440$	−20.2580	−	10.3491i	−0.965764	−	0.493374i
$441$	−28.5805	−	49.5028i	−1.36097	−	2.35728i
$442$	−4.62502	−	5.32428i	−0.219990	−	0.253250i
$443$		−	1.23798i		−	0.0588184i	−0.999567	−	0.0294092i	$-0.990637\pi$
$443$		−	1.23798i		−	0.0588184i	0.999567	−	0.0294092i	$-0.00936259\pi$
$444$	−1.89842	+	3.45202i	−0.0900952	+	0.163826i
$445$		−	35.8088i		−	1.69750i
$446$	14.4729	−	12.5722i	0.685314	−	0.595309i
$447$	−1.48111	−	2.56535i	−0.0700540	−	0.121337i
$448$	−41.1540	+	4.23711i	−1.94434	+	0.200185i
$449$	16.8399	−	9.72255i	0.794726	−	0.458835i	−0.0468975	−	0.998900i	$-0.514933\pi$
$449$	16.8399	−	9.72255i	0.794726	−	0.458835i	0.841624	+	0.540064i	$0.181600\pi$
$450$	−19.1688	−	6.60792i	−0.903624	−	0.311500i
$451$	6.42800	−	3.71121i	0.302683	−	0.174754i
$452$	14.5475	−	18.5927i	0.684255	−	0.874529i
$453$	4.47217	+	2.58201i	0.210121	+	0.121313i
$454$	6.18451	+	2.13194i	0.290253	+	0.100057i
$455$	48.1422			2.25694
$456$	−0.293207	−	5.71074i	−0.0137307	−	0.267430i
$457$	0.298523	−	0.172352i	0.0139643	−	0.00806229i	−0.493002	−	0.870028i	$-0.664100\pi$
$457$	0.298523	−	0.172352i	0.0139643	−	0.00806229i	0.506966	+	0.861966i	$0.330767\pi$
$458$	−9.47571	+	27.4878i	−0.442771	+	1.28442i
$459$	1.61310	−	2.79398i	0.0752932	−	0.130412i
$460$	−10.3963	−	25.7843i	−0.484730	−	1.20220i
$461$	−2.46214	+	4.26456i	−0.114673	+	0.198620i	−0.917649	−	0.397392i	$-0.869915\pi$
$461$	−2.46214	+	4.26456i	−0.114673	+	0.198620i	0.802976	+	0.596012i	$0.203249\pi$
$462$	1.15002	+	5.92752i	0.0535036	+	0.275773i
$463$	27.0639	−	15.6253i	1.25776	−	0.726170i	0.285125	−	0.958490i	$-0.407965\pi$
$463$	27.0639	−	15.6253i	1.25776	−	0.726170i	0.972639	+	0.232320i	$0.0746317\pi$
$464$	−1.93611	−	0.558139i	−0.0898817	−	0.0259109i
$465$	−4.94224	+	8.56021i	−0.229191	+	0.396970i
$466$	11.8342	−	10.2800i	0.548211	−	0.476212i
$467$	1.74919			0.0809430			0.0404715	−	0.999181i	$-0.487114\pi$
$467$	1.74919			0.0809430			0.0404715	+	0.999181i	$0.487114\pi$
$468$	2.38996	−	16.9186i	0.110476	−	0.782061i
$469$	−0.797219	−	0.460274i	−0.0368121	−	0.0212535i
$470$	5.09898	+	1.75774i	0.235198	+	0.0810784i
$471$	3.64773			0.168078
$472$	14.1994	−	0.729040i	0.653579	−	0.0335568i
$473$		−	11.7572i		−	0.540597i
$474$	0.535094	+	2.75803i	0.0245777	+	0.126681i
$475$	30.9165			1.41855
$476$	17.3072	+	2.44487i	0.793276	+	0.112060i
$477$	−2.53729	+	1.46490i	−0.116174	+	0.0670733i
$478$	29.9901	−	5.81848i	1.37172	−	0.266131i
$479$	13.5887	+	7.84543i	0.620883	+	0.358467i	0.777213	−	0.629238i	$-0.216633\pi$
$479$	13.5887	+	7.84543i	0.620883	+	0.358467i	−0.156330	+	0.987705i	$0.549966\pi$
$480$	5.75614	+	0.513864i	0.262731	+	0.0234546i
$481$	6.36463	−	16.7834i	0.290202	−	0.765257i
$482$	−3.17139	+	9.19981i	−0.144453	+	0.419040i
$483$	−3.68961	+	6.39058i	−0.167883	+	0.290782i
$484$	1.25894	−	8.91202i	0.0572244	−	0.405092i
$485$	4.53013	−	2.61547i	0.205703	−	0.118762i
$486$	11.5780	−	2.24628i	0.525189	−	0.101894i
$487$		−	14.6071i		−	0.661912i	−0.943646	−	0.330956i	$-0.892629\pi$
$487$		−	14.6071i		−	0.661912i	0.943646	−	0.330956i	$-0.107371\pi$
$488$	−11.8123	+	23.1222i	−0.534718	+	1.04669i
$489$		−	5.68413i		−	0.257045i
$490$	−66.4994	+	57.7657i	−3.00414	+	2.60959i
$491$		−	24.0319i		−	1.08454i	−0.840203	−	0.542272i	$-0.817564\pi$
$491$		−	24.0319i		−	1.08454i	0.840203	−	0.542272i	$-0.182436\pi$
$492$	−1.16194	+	1.48505i	−0.0523843	+	0.0669511i
$493$	0.737247	+	0.425650i	0.0332039	+	0.0191703i
$494$	4.96221	+	25.5767i	0.223260	+	1.15075i
$495$			23.2849i			1.04658i
$496$	−10.7204	+	37.1876i	−0.481360	+	1.66977i
$497$	−23.5727	+	40.8291i	−1.05738	+	1.83143i
$498$	1.70401	−	1.48021i	0.0763585	−	0.0663300i
$499$	12.6864	+	21.9735i	0.567921	+	0.983669i	0.996771	+	0.0802930i	$0.0255856\pi$
$499$	12.6864	+	21.9735i	0.567921	+	0.983669i	−0.428850	+	0.903376i	$0.641081\pi$
$500$	0.0422325	−	0.298964i	0.00188869	−	0.0133701i
$501$	1.92591	−	3.33578i	0.0860435	−	0.149032i
$502$	−16.7141	+	14.5189i	−0.745986	+	0.648012i
$503$	−20.2042	−	11.6649i	−0.900860	−	0.520111i	−0.0233806	−	0.999727i	$-0.507443\pi$
$503$	−20.2042	−	11.6649i	−0.900860	−	0.520111i	−0.877479	+	0.479615i	$0.840776\pi$
$504$	23.0262	+	35.5398i	1.02567	+	1.58307i
$505$	−42.3945	+	24.4765i	−1.88653	+	1.08919i
$506$	−11.9937	+	10.4185i	−0.533185	+	0.463160i
$507$			1.38994i			0.0617293i
$508$	−5.70725	−	4.46550i	−0.253218	−	0.198125i
$509$	14.8565	+	8.57738i	0.658501	+	0.380186i	0.791706	−	0.610903i	$-0.209193\pi$
$509$	14.8565	+	8.57738i	0.658501	+	0.380186i	−0.133205	+	0.991089i	$0.542527\pi$
$510$	−2.30828	−	0.795719i	−0.102212	−	0.0352350i
$511$	0.504158	+	0.873227i	0.0223026	+	0.0386293i
$512$	22.3600	−	3.46850i	0.988182	−	0.153287i
$513$	−10.3215	+	5.95912i	−0.455705	+	0.263102i
$514$	−40.3681	+	7.83194i	−1.78056	+	0.345452i
$515$	−9.17131	+	5.29506i	−0.404136	+	0.233328i
$516$	1.11692	+	2.77011i	0.0491696	+	0.121947i
$517$		−	3.08206i		−	0.135549i
$518$	15.3697	+	41.7470i	0.675308	+	1.83426i
$519$	−6.38724			−0.280369
$520$	−26.2959	+	1.35011i	−1.15315	+	0.0592062i
$521$	−12.4939	−	21.6400i	−0.547366	−	0.948066i	−0.998454	−	0.0555862i	$-0.982297\pi$
$521$	−12.4939	−	21.6400i	−0.547366	−	0.948066i	0.451088	−	0.892480i	$-0.351036\pi$
$522$	0.392822	+	2.02472i	0.0171934	+	0.0886196i
$523$	−2.55400	−	4.42365i	−0.111678	−	0.193433i	0.804769	−	0.593589i	$-0.202289\pi$
$523$	−2.55400	−	4.42365i	−0.111678	−	0.193433i	−0.916447	+	0.400156i	$0.868956\pi$
$524$	12.0824	+	9.45355i	0.527820	+	0.412980i
$525$	7.18220	−	4.14664i	0.313457	−	0.180974i
$526$	−27.8226	−	9.59112i	−1.21312	−	0.418193i
$527$	8.17562	−	14.1606i	0.356136	−	0.616845i
$528$	−0.794386	−	3.20543i	−0.0345712	−	0.139499i
$529$	3.58429			0.155839
$530$	2.96081	+	3.40845i	0.128609	+	0.148054i
$531$	−7.27670	−	12.6036i	−0.315782	−	0.546950i
$532$	−50.8546	−	39.7900i	−2.20483	−	1.72512i
$533$	4.29559	−	7.44018i	0.186063	−	0.322270i
$534$	3.92448	−	3.40906i	0.169829	−	0.147524i
$535$	−32.4612	−	18.7415i	−1.40342	−	0.810265i
$536$	0.448359	+	0.229050i	0.0193662	+	0.00989347i
$537$	−0.419652	+	0.242286i	−0.0181093	+	0.0104554i
$538$	8.24163	+	9.48769i	0.355322	+	0.409044i
$539$	43.5923	+	25.1680i	1.87765	+	1.08406i
$540$	−4.50420	−	11.1710i	−0.193830	−	0.480725i
$541$	8.13899			0.349922			0.174961	−	0.984575i	$-0.444020\pi$
$541$	8.13899			0.349922			0.174961	+	0.984575i	$0.444020\pi$
$542$	2.81187	+	14.4932i	0.120780	+	0.622537i
$543$	−3.23094	+	5.59615i	−0.138653	+	0.240154i
$544$	−9.52200	−	0.850051i	−0.408252	−	0.0364456i
$545$	−18.7463			−0.803003
$546$	4.58321	+	5.27615i	0.196143	+	0.225799i
$547$	−0.543159			−0.0232238			−0.0116119	−	0.999933i	$-0.503696\pi$
$547$	−0.543159			−0.0232238			−0.0116119	+	0.999933i	$0.503696\pi$
$548$	−2.47655	+	17.5315i	−0.105793	+	0.748909i
$549$	26.5771			1.13428
$550$	17.5280	−	3.40067i	0.747398	−	0.145005i
$551$	−1.57243	−	2.72354i	−0.0669880	−	0.116027i
$552$	1.83609	−	3.59409i	0.0781492	−	0.152975i
$553$	27.4744	+	15.8624i	1.16833	+	0.674536i
$554$	−34.0398	−	11.7343i	−1.44621	−	0.498544i
$555$	−0.996968	−	6.13364i	−0.0423189	−	0.260359i
$556$	−17.9786	+	22.9780i	−0.762463	+	0.974485i
$557$	15.4333	−	26.7312i	0.653928	−	1.13264i	−0.328234	−	0.944597i	$-0.606453\pi$
$557$	15.4333	−	26.7312i	0.653928	−	1.13264i	0.982161	−	0.188040i	$-0.0602133\pi$
$558$	38.8896	−	7.54509i	1.64633	−	0.319409i
$559$	−6.80427	−	11.7853i	−0.287790	−	0.498467i
$560$	47.0064	−	45.2651i	1.98638	−	1.91280i
$561$			1.39523i			0.0589068i
$562$	−13.6434	+	2.64700i	−0.575513	+	0.111657i
$563$	21.5489			0.908177			0.454088	−	0.890957i	$-0.349965\pi$
$563$	21.5489			0.908177			0.454088	+	0.890957i	$0.349965\pi$
$564$	0.292791	+	0.726163i	0.0123287	+	0.0305770i
$565$			37.2375i			1.56659i
$566$	−25.1808	−	8.68042i	−1.05843	−	0.364865i
$567$	20.8595	−	36.1297i	0.876016	−	1.51730i
$568$	11.7307	−	22.9624i	0.492208	−	0.963482i
$569$		−	29.8130i		−	1.24983i	−0.780694	−	0.624913i	$-0.785134\pi$
$569$		−	29.8130i		−	1.24983i	0.780694	−	0.624913i	$-0.214866\pi$
$570$	5.91505	+	6.80935i	0.247754	+	0.285212i
$571$	−16.4703	−	9.50912i	−0.689260	−	0.397944i	0.114075	−	0.993472i	$-0.463610\pi$
$571$	−16.4703	−	9.50912i	−0.689260	−	0.397944i	−0.803335	+	0.595528i	$0.796943\pi$
$572$	5.62662	+	13.9548i	0.235261	+	0.583480i
$573$	−3.86525	−	6.69481i	−0.161473	−	0.279680i
$574$	4.05537	+	20.9026i	0.169268	+	0.872457i
$575$	18.8973	+	10.9104i	0.788074	+	0.454994i
$576$	−13.5739	−	18.7666i	−0.565579	−	0.781940i
$577$	−30.5114	−	17.6158i	−1.27021	−	0.733354i	−0.295180	−	0.955442i	$-0.595380\pi$
$577$	−30.5114	−	17.6158i	−1.27021	−	0.733354i	−0.975027	+	0.222088i	$0.928713\pi$
$578$	−18.9106	−	6.51893i	−0.786577	−	0.271152i
$579$	0.956898	+	1.65740i	0.0397673	+	0.0688790i
$580$	2.94770	−	1.18852i	0.122397	−	0.0493507i
$581$		−	25.4879i		−	1.05741i
$582$	0.717919	+	0.247484i	0.0297587	+	0.0102585i
$583$	1.29000	−	2.23434i	0.0534262	−	0.0925369i
$584$	−0.299866	−	0.462829i	−0.0124086	−	0.0191520i
$585$	13.4757	+	23.3407i	0.557153	+	0.965018i
$586$	13.5087	−	39.1870i	0.558039	−	1.61880i
$587$	−15.8132	−	27.3893i	−0.652682	−	1.13048i	−0.982470	−	0.186423i	$-0.940311\pi$
$587$	−15.8132	−	27.3893i	−0.652682	−	1.13048i	0.329788	−	0.944055i	$-0.393023\pi$
$588$	−12.6617	−	1.78863i	−0.522160	−	0.0737617i
$589$	−52.3120	+	30.2024i	−2.15548	+	1.24447i
$590$	−16.9310	+	14.7074i	−0.697039	+	0.605493i
$591$	7.25647			0.298491
$592$	−9.56591	−	22.3717i	−0.393157	−	0.919472i
$593$	−11.8295			−0.485779			−0.242889	−	0.970054i	$-0.578095\pi$
$593$	−11.8295			−0.485779			−0.242889	+	0.970054i	$0.578095\pi$
$594$	−5.19627	+	4.51382i	−0.213206	+	0.185204i
$595$	−23.8769	+	13.7853i	−0.978856	+	0.565143i
$596$	18.1148	+	2.55895i	0.742013	+	0.104819i
$597$	2.50704	+	4.34232i	0.102606	+	0.177719i
$598$	−5.99288	+	17.3846i	−0.245067	+	0.710909i
$599$	−8.02905	−	13.9067i	−0.328058	−	0.568213i	0.654068	−	0.756435i	$-0.273061\pi$
$599$	−8.02905	−	13.9067i	−0.328058	−	0.568213i	−0.982126	+	0.188222i	$0.939728\pi$
$600$	−3.80672	+	2.46637i	−0.155409	+	0.100689i
$601$	−11.4916	+	19.9041i	−0.468754	+	0.811906i	−0.999362	−	0.0357114i	$-0.988630\pi$
$601$	−11.4916	+	19.9041i	−0.468754	+	0.811906i	0.530608	+	0.847617i	$0.321964\pi$
$602$	31.8860	+	10.9918i	1.29958	+	0.447994i
$603$		−	0.515352i		−	0.0209867i
$604$	−29.5792	+	11.9264i	−1.20356	+	0.485279i
$605$	7.09848	+	12.2949i	0.288594	+	0.499860i
$606$	−6.71853	−	2.31604i	−0.272922	−	0.0940825i
$607$	13.7632	+	7.94618i	0.558630	+	0.322525i	0.752596	−	0.658483i	$-0.228802\pi$
$607$	13.7632	+	7.94618i	0.558630	+	0.322525i	−0.193965	+	0.981008i	$0.562135\pi$
$608$	28.8933	+	20.3076i	1.17178	+	0.823583i
$609$	−0.730583	−	0.421802i	−0.0296047	−	0.0170923i
$610$	−7.80045	−	40.2058i	−0.315831	−	1.62788i
$611$	−1.78369	−	3.08944i	−0.0721602	−	0.124985i
$612$	3.65922	+	9.07539i	0.147915	+	0.366851i
$613$	−0.102411	−	0.0591271i	−0.00413635	−	0.00238812i	0.497930	−	0.867217i	$-0.334093\pi$
$613$	−0.102411	−	0.0591271i	−0.00413635	−	0.00238812i	−0.502067	+	0.864829i	$0.667427\pi$
$614$	−16.5547	−	19.0576i	−0.668092	−	0.769101i
$615$		−	2.97425i		−	0.119933i
$616$	−33.2086	−	16.9651i	−1.33801	−	0.683542i
$617$	−11.6317	+	20.1466i	−0.468273	+	0.811072i	−0.999343	−	0.0362560i	$-0.988457\pi$
$617$	−11.6317	+	20.1466i	−0.468273	+	0.811072i	0.531070	+	0.847328i	$0.321790\pi$
$618$	−1.45344	−	0.501034i	−0.0584658	−	0.0201545i
$619$			26.0333i			1.04637i	0.852220	+	0.523183i	$0.175256\pi$
$619$			26.0333i			1.04637i	−0.852220	+	0.523183i	$0.824744\pi$
$620$	−22.8284	−	56.6177i	−0.916811	−	2.27382i
$621$	−8.41186			−0.337556
$622$	23.1399	−	4.48944i	0.927826	−	0.180010i
$623$		−	58.7007i		−	2.35179i
$624$	−2.65137	−	2.75337i	−0.106140	−	0.110223i
$625$	12.6185	+	21.8559i	0.504740	+	0.874235i
$626$	−9.84165	+	1.90941i	−0.393351	+	0.0763153i
$627$	2.57713	−	4.46373i	0.102921	−	0.178264i
$628$	−13.8824	+	17.7428i	−0.553969	+	0.708015i
$629$	1.64922	+	10.1465i	0.0657586	+	0.404567i
$630$	−63.1496	−	21.7691i	−2.51594	−	0.867304i
$631$	−11.6674	−	6.73619i	−0.464473	−	0.268164i	0.249450	−	0.968388i	$-0.419750\pi$
$631$	−11.6674	−	6.73619i	−0.464473	−	0.268164i	−0.713923	+	0.700224i	$0.753083\pi$
$632$	−15.4517	−	7.89372i	−0.614636	−	0.313995i
$633$	−1.88466	−	3.26433i	−0.0749086	−	0.129746i
$634$	24.8357	−	4.81845i	0.986352	−	0.191365i
$635$	11.4305			0.453604
$636$	−0.0916768	+	0.648980i	−0.00363522	+	0.0257337i
$637$	58.2622			2.30843
$638$	−1.19106	−	1.37114i	−0.0471546	−	0.0542840i
$639$	−26.3934			−1.04411
$640$	−24.4061	+	26.0426i	−0.964734	+	1.02943i
$641$	−0.571871	+	0.990509i	−0.0225875	+	0.0391227i	−0.877098	−	0.480311i	$-0.840524\pi$
$641$	−0.571871	+	0.990509i	−0.0225875	+	0.0391227i	0.854511	+	0.519434i	$0.173857\pi$
$642$	−1.03638	−	5.34181i	−0.0409027	−	0.210825i
$643$	31.4759			1.24129			0.620645	−	0.784092i	$-0.286871\pi$
$643$	31.4759			1.24129			0.620645	+	0.784092i	$0.286871\pi$
$644$	−17.0424	−	42.2677i	−0.671566	−	1.66558i
$645$	−4.08006	−	2.35562i	−0.160652	−	0.0927526i
$646$	−9.78487	−	11.2643i	−0.384981	−	0.443186i
$647$	−12.8291	+	7.40687i	−0.504363	+	0.291194i	−0.730514	−	0.682898i	$-0.760719\pi$
$647$	−12.8291	+	7.40687i	−0.504363	+	0.291194i	0.226150	+	0.974092i	$0.427386\pi$
$648$	−10.3805	+	20.3195i	−0.407784	+	0.798225i
$649$	11.0988	+	6.40788i	0.435665	+	0.251531i
$650$	15.6019	−	13.5528i	0.611957	−	0.531586i
$651$	−8.10172	+	14.0326i	−0.317531	+	0.549980i
$652$	27.6480	+	21.6326i	1.08278	+	0.847196i
$653$	6.53507	+	11.3191i	0.255737	+	0.442949i	0.965095	−	0.261899i	$-0.0843486\pi$
$653$	6.53507	+	11.3191i	0.255737	+	0.442949i	−0.709358	+	0.704848i	$0.751015\pi$
$654$	−1.78468	−	2.05451i	−0.0697864	−	0.0803375i
$655$	−24.1985			−0.945513
$656$	−2.80129	−	11.3035i	−0.109372	−	0.441328i
$657$	−0.282243	+	0.488859i	−0.0110114	+	0.0190722i
$658$	8.35865	+	2.88143i	0.325854	+	0.112330i
$659$	−43.1063	+	24.8875i	−1.67918	+	0.969478i	−0.717003	+	0.697070i	$0.754487\pi$
$659$	−43.1063	+	24.8875i	−1.67918	+	0.969478i	−0.962182	+	0.272408i	$0.912180\pi$
$660$	4.10251	+	3.20991i	0.159690	+	0.124946i
$661$	9.34824	+	16.1916i	0.363604	+	0.629781i	0.988551	−	0.150886i	$-0.0482127\pi$
$661$	9.34824	+	16.1916i	0.363604	+	0.629781i	−0.624947	+	0.780667i	$0.714879\pi$
$662$	1.31171	+	6.76096i	0.0509812	+	0.262772i
$663$	0.807466	+	1.39857i	0.0313594	+	0.0543161i
$664$	0.714787	+	13.9218i	0.0277391	+	0.540270i
$665$	101.851			3.94963
$666$	−15.9379	+	19.1373i	−0.617580	+	0.741556i
$667$		−	2.21964i		−	0.0859447i
$668$	8.89588	+	22.0630i	0.344192	+	0.853644i
$669$	−3.80173	+	2.19493i	−0.146983	+	0.0848608i
$670$	−0.779624	+	0.151257i	−0.0301195	+	0.00584357i
$671$	−20.2683	+	11.7019i	−0.782450	+	0.451748i
$672$	9.43593	+	0.842367i	0.363999	+	0.0324950i
$673$	1.64221	+	2.84439i	0.0633025	+	0.109643i	0.895940	−	0.444176i	$-0.146503\pi$
$673$	1.64221	+	2.84439i	0.0633025	+	0.109643i	−0.832637	+	0.553819i	$0.813170\pi$
$674$	26.7325	+	9.21532i	1.02970	+	0.354961i
$675$	8.18727	+	4.72692i	0.315128	+	0.181939i
$676$	−6.76076	−	5.28979i	−0.260029	−	0.203454i
$677$		−	7.63033i		−	0.293258i	−0.989192	−	0.146629i	$-0.953158\pi$
$677$		−	7.63033i		−	0.293258i	0.989192	−	0.146629i	$-0.0468423\pi$
$678$	−4.08105	+	3.54507i	−0.156732	+	0.136147i
$679$	7.42616	−	4.28749i	0.284990	−	0.164539i
$680$	12.6553	−	8.19932i	0.485307	−	0.314430i
$681$	−1.29725	−	0.748970i	−0.0497109	−	0.0287006i
$682$	−26.3360	+	22.8772i	−1.00846	+	0.876014i
$683$	24.7179	−	42.8126i	0.945802	−	1.63818i	0.191666	−	0.981460i	$-0.438611\pi$
$683$	24.7179	−	42.8126i	0.945802	−	1.63818i	0.754137	−	0.656718i	$-0.228056\pi$
$684$	5.05630	−	35.7936i	0.193332	−	1.36860i
$685$	−13.9640	−	24.1863i	−0.533535	−	0.924110i
$686$	−70.3622	+	61.1212i	−2.68644	+	2.33362i
$687$	3.32890	−	5.76582i	0.127005	−	0.219980i
$688$	−17.7248	−	5.10967i	−0.675751	−	0.194804i
$689$		−	2.98625i		−	0.113767i
$690$	1.21249	+	6.24954i	0.0461588	+	0.237916i
$691$	−32.2830	−	18.6386i	−1.22810	−	0.709046i	−0.261471	−	0.965211i	$-0.584208\pi$
$691$	−32.2830	−	18.6386i	−1.22810	−	0.709046i	−0.966633	+	0.256165i	$0.917541\pi$
$692$	24.3084	−	31.0680i	0.924067	−	1.18103i
$693$			38.1705i			1.44998i
$694$	10.5350	−	9.15143i	0.399905	−	0.347383i
$695$		−	46.0203i		−	1.74565i
$696$	0.410883	+	0.209905i	0.0155745	+	0.00795643i
$697$			4.92010i			0.186362i
$698$	30.1123	−	5.84218i	1.13977	−	0.221130i
$699$	−3.10860	+	1.79475i	−0.117578	+	0.0678837i
$700$	−7.16428	+	50.7159i	−0.270784	+	1.91688i
$701$	5.16258	−	8.94185i	0.194988	−	0.337729i	−0.751909	−	0.659267i	$-0.770867\pi$
$701$	5.16258	−	8.94185i	0.194988	−	0.337729i	0.946897	+	0.321538i	$0.104200\pi$
$702$	−2.59641	+	7.53187i	−0.0979954	+	0.284272i
$703$	13.4653	−	35.5076i	0.507852	−	1.33919i
$704$	18.6147	+	8.33522i	0.701569	+	0.314146i
$705$	−1.06956	−	0.617508i	−0.0402818	−	0.0232567i
$706$	30.4413	−	5.90600i	1.14567	−	0.222275i
$707$	−69.4965	+	40.1238i	−2.61368	+	1.50901i
$708$	−3.22372	−	0.455392i	−0.121155	−	0.0171147i
$709$	3.25636			0.122295			0.0611477	−	0.998129i	$-0.480524\pi$
$709$	3.25636			0.122295			0.0611477	+	0.998129i	$0.480524\pi$
$710$	7.74654	+	39.9279i	0.290722	+	1.49847i
$711$			17.7605i			0.666070i
$712$	1.64622	+	32.0631i	0.0616945	+	1.20161i
$713$	−42.6334			−1.59664
$714$	−3.78392	−	1.30441i	−0.141610	−	0.0488162i
$715$	−20.5538	−	11.8668i	−0.768670	−	0.443792i
$716$	0.418605	−	2.96331i	0.0156440	−	0.110744i
$717$	−6.99534			−0.261246
$718$	6.79565	−	5.90314i	0.253611	−	0.220303i
$719$	−7.94233	+	13.7565i	−0.296199	+	0.513031i	−0.975263	−	0.221047i	$-0.929052\pi$
$719$	−7.94233	+	13.7565i	−0.296199	+	0.513031i	0.679064	+	0.734079i	$0.262386\pi$
$720$	35.1036	+	10.1196i	1.30823	+	0.377135i
$721$	−15.0343	+	8.68009i	−0.559908	+	0.323263i
$722$	5.38053	+	27.7328i	0.200243	+	1.03211i
$723$	1.11414	−	1.92974i	0.0414352	−	0.0717678i
$724$	−14.9238	−	37.0132i	−0.554640	−	1.37558i
$725$	−1.24729	+	2.16038i	−0.0463233	+	0.0802344i
$726$	−0.671679	+	1.94846i	−0.0249283	+	0.0723140i
$727$	−4.89336	+	2.82518i	−0.181485	+	0.104780i	−0.587990	−	0.808868i	$-0.700081\pi$
$727$	−4.89336	+	2.82518i	−0.181485	+	0.104780i	0.406505	+	0.913648i	$0.366747\pi$
$728$	−43.1063	+	2.21321i	−1.59763	+	0.0820270i
$729$	21.5009			0.796331
$730$	0.822385	+	0.283496i	0.0304378	+	0.0104926i
$731$	6.74937	+	3.89675i	0.249635	+	0.144127i
$732$	3.66375	−	4.68255i	0.135416	−	0.173072i
$733$	6.10561	−	3.52508i	0.225516	−	0.130202i	−0.382986	−	0.923754i	$-0.625104\pi$
$733$	6.10561	−	3.52508i	0.225516	−	0.130202i	0.608502	+	0.793553i	$0.291771\pi$
$734$	15.8994	+	5.48091i	0.586859	+	0.202304i
$735$	17.4679	−	10.0851i	0.644315	−	0.371995i
$736$	10.4942	+	22.6092i	0.386820	+	0.833386i
$737$	0.226910	+	0.393020i	0.00835833	+	0.0144771i
$738$	−8.99899	+	7.81711i	−0.331257	+	0.287752i
$739$		−	12.8320i		−	0.472031i	−0.971749	−	0.236016i	$-0.924158\pi$
$739$		−	12.8320i		−	0.472031i	0.971749	−	0.236016i	$-0.0758416\pi$
$740$	33.6287	+	18.4940i	1.23622	+	0.679851i
$741$		−	5.96588i		−	0.219162i
$742$	4.85359	+	5.58741i	0.178181	+	0.205120i
$743$	0.975274	+	1.68922i	0.0357793	+	0.0619716i	0.883361	−	0.468694i	$-0.155275\pi$
$743$	0.975274	+	1.68922i	0.0357793	+	0.0619716i	−0.847581	+	0.530666i	$0.821942\pi$
$744$	4.03173	−	7.89198i	0.147810	−	0.289334i
$745$	−24.9910	+	14.4286i	−0.915600	+	0.528622i
$746$	3.68378	−	10.6862i	0.134873	−	0.391249i
$747$	12.3572	−	7.13444i	0.452127	−	0.261036i
$748$	−6.78652	−	5.30995i	−0.248140	−	0.194151i
$749$	−53.2130	−	30.7226i	−1.94436	−	1.12258i
$750$	−0.0225322	+	0.0653631i	−0.000822760	+	0.00238672i
$751$	27.0399			0.986700			0.493350	−	0.869831i	$-0.335772\pi$
$751$	27.0399			0.986700			0.493350	+	0.869831i	$0.335772\pi$
$752$	−4.64641	−	1.33946i	−0.169437	−	0.0488450i
$753$	4.39042	−	2.53481i	0.159996	−	0.0923737i
$754$	−1.98744	−	0.685116i	−0.0723782	−	0.0249505i
$755$	25.1533	−	43.5667i	0.915421	−	1.58556i
$756$	−7.38364	−	18.3125i	−0.268540	−	0.666018i
$757$	−23.8505	+	41.3102i	−0.866860	+	1.50145i	−0.00167150	+	0.999999i	$0.500532\pi$
$757$	−23.8505	+	41.3102i	−0.866860	+	1.50145i	−0.865188	+	0.501447i	$0.832801\pi$
$758$	14.2683	−	2.76823i	0.518248	−	0.100547i
$759$	3.15048	−	1.81893i	0.114355	−	0.0660231i
$760$	−55.6325	+	2.85634i	−2.01800	+	0.103610i
$761$	−10.1935	+	17.6556i	−0.369513	+	0.640015i	−0.989489	−	0.144605i	$-0.953809\pi$
$761$	−10.1935	+	17.6556i	−0.369513	+	0.640015i	0.619976	+	0.784620i	$0.287142\pi$
$762$	1.08820	+	1.25272i	0.0394212	+	0.0453814i
$763$	−30.7304			−1.11252
$764$	47.2743	+	6.67810i	1.71033	+	0.241605i
$765$	−13.3670	−	7.71745i	−0.483285	−	0.279025i
$766$	−6.91240	+	20.0520i	−0.249755	+	0.724509i
$767$	14.8338			0.535617
$768$	−5.17765	−	0.195488i	−0.186832	−	0.00705407i
$769$		−	1.95335i		−	0.0704398i	−0.999380	−	0.0352199i	$-0.988787\pi$
$769$		−	1.95335i		−	0.0704398i	0.999380	−	0.0352199i	$-0.0112132\pi$
$770$	57.7444	−	11.2032i	2.08096	−	0.403734i
$771$	9.41605			0.339111
$772$	−11.7034	−	1.65326i	−0.421216	−	0.0595022i
$773$	21.2508	−	12.2691i	0.764337	−	0.441290i	−0.0665139	−	0.997785i	$-0.521188\pi$
$773$	21.2508	−	12.2691i	0.764337	−	0.441290i	0.830851	+	0.556495i	$0.187854\pi$
$774$	3.59622	+	18.5360i	0.129264	+	0.666262i
$775$	41.4952	+	23.9573i	1.49055	+	0.860570i
$776$	−3.93602	+	2.55014i	−0.141295	+	0.0915448i
$777$	−1.63431	−	10.0548i	−0.0586306	−	0.360712i
$778$	49.7006	+	17.1330i	1.78185	+	0.614247i
$779$	9.08791	−	15.7407i	0.325608	−	0.563970i
$780$	5.97001	+	0.843341i	0.213761	+	0.0301964i
$781$	20.1282	−	11.6210i	0.720245	−	0.415834i
$782$	−2.00575	−	10.3382i	−0.0717253	−	0.369693i
$783$		−	0.961658i		−	0.0343669i
$784$	56.8876	−	54.7803i	2.03170	−	1.95644i
$785$		−	35.5352i		−	1.26831i
$786$	−2.30374	−	2.65204i	−0.0821715	−	0.0945951i
$787$			19.7307i			0.703325i	0.936127	+	0.351662i	$0.114384\pi$
$787$			19.7307i			0.703325i	−0.936127	+	0.351662i	$0.885616\pi$
$788$	−27.6165	+	35.2960i	−0.983798	+	1.25737i
$789$	5.83604	+	3.36944i	0.207769	+	0.119955i
$790$	26.8680	−	5.21275i	0.955922	−	0.185461i
$791$			61.0427i			2.17043i
$792$	−1.07046	−	20.8492i	−0.0380372	−	0.740845i
$793$	−13.5446	+	23.4599i	−0.480981	+	0.833084i
$794$	−19.5357	−	22.4893i	−0.693296	−	0.798116i
$795$	−0.516917	−	0.895326i	−0.0183331	−	0.0317539i
$796$	−30.6626	−	4.33148i	−1.08681	−	0.153525i
$797$	−0.501091	+	0.867914i	−0.0177495	+	0.0307431i	−0.874764	−	0.484550i	$-0.838983\pi$
$797$	−0.501091	+	0.867914i	−0.0177495	+	0.0307431i	0.857014	+	0.515293i	$0.172317\pi$
$798$	9.69642	+	11.1624i	0.343250	+	0.395146i
$799$	1.76929	+	1.02150i	0.0625931	+	0.0361382i
$800$	2.49093	−	27.9026i	0.0880676	−	0.986506i
$801$	28.4597	−	16.4312i	1.00558	−	0.580569i
$802$	10.7534	+	12.3792i	0.379717	+	0.437126i
$803$		−	0.497088i		−	0.0175418i
$804$	−0.0907985	−	0.0710431i	−0.00320222	−	0.00250550i
$805$	62.2554	+	35.9432i	2.19422	+	1.26683i
$806$	−13.1593	+	38.1735i	−0.463516	+	1.34460i
$807$	−1.43888	−	2.49221i	−0.0506509	−	0.0877299i
$808$	36.8346	−	23.8651i	1.29584	−	0.839571i
$809$	5.25373	−	3.03324i	0.184711	−	0.106643i	−0.404793	−	0.914408i	$-0.632656\pi$
$809$	5.25373	−	3.03324i	0.184711	−	0.106643i	0.589504	+	0.807765i	$0.299323\pi$
$810$	−6.85492	−	35.3323i	−0.240857	−	1.24145i
$811$	−8.01327	+	4.62646i	−0.281384	+	0.162457i	−0.634050	−	0.773292i	$-0.718609\pi$
$811$	−8.01327	+	4.62646i	−0.281384	+	0.162457i	0.352666	+	0.935749i	$0.385275\pi$
$812$	4.83211	−	1.94832i	0.169574	−	0.0683727i
$813$		−	3.38061i		−	0.118563i
$814$	3.72843	−	21.6120i	0.130681	−	0.757502i
$815$	−55.3734			−1.93964
$816$	2.10341	+	0.606367i	0.0736340	+	0.0212271i
$817$	−14.3954	−	24.9335i	−0.503631	−	0.872314i
$818$	36.2152	−	7.02622i	1.26623	−	0.245666i
$819$	22.0905	+	38.2619i	0.771905	+	1.33698i
$820$	14.4670	+	11.3193i	0.505208	+	0.395288i
$821$	−18.6619	+	10.7745i	−0.651306	+	0.376032i	−0.788956	−	0.614449i	$-0.789378\pi$
$821$	−18.6619	+	10.7745i	−0.651306	+	0.376032i	0.137651	+	0.990481i	$0.456045\pi$
$822$	1.32131	−	3.83296i	0.0460860	−	0.133690i
$823$	15.7663	−	27.3081i	0.549580	−	0.951900i	−0.448724	−	0.893671i	$-0.648121\pi$
$823$	15.7663	−	27.3081i	0.549580	−	0.951900i	0.998303	−	0.0582294i	$-0.0185455\pi$
$824$	7.96852	−	5.16280i	0.277597	−	0.179855i
$825$	−4.08849			−0.142343
$826$	−27.7547	+	24.1095i	−0.965709	+	0.838878i
$827$	−8.97689	−	15.5484i	−0.312157	−	0.540672i	0.666672	−	0.745351i	$-0.267718\pi$
$827$	−8.97689	−	15.5484i	−0.312157	−	0.540672i	−0.978829	+	0.204679i	$0.934385\pi$
$828$	15.7221	−	20.0940i	0.546380	−	0.698315i
$829$	−12.3714	+	21.4278i	−0.429675	+	0.744219i	−0.996844	−	0.0793826i	$-0.974705\pi$
$829$	−12.3714	+	21.4278i	−0.429675	+	0.744219i	0.567169	+	0.823601i	$0.308038\pi$
$830$	−14.4199	−	16.6000i	−0.500521	−	0.576195i
$831$	7.14016	+	4.12237i	0.247689	+	0.143003i
$832$	23.4831	−	2.41777i	0.814131	−	0.0838209i
$833$	−28.8960	+	16.6831i	−1.00119	+	0.578037i
$834$	5.04361	−	4.38121i	0.174646	−	0.151709i
$835$	−32.4963	−	18.7618i	−1.12458	−	0.649277i
$836$	11.9039	+	29.5233i	0.411705	+	1.02109i
$837$	−18.4709			−0.638449
$838$	−10.0947	+	1.95850i	−0.348715	+	0.0676553i
$839$	−10.7700	+	18.6542i	−0.371822	+	0.644015i	−0.989846	−	0.142145i	$-0.954600\pi$
$839$	−10.7700	+	18.6542i	−0.371822	+	0.644015i	0.618024	+	0.786159i	$0.287934\pi$
$840$	−12.5409	+	8.12521i	−0.432701	+	0.280346i
$841$	−28.7462			−0.991250
$842$	19.0987	−	16.5904i	0.658186	−	0.571743i
$843$	3.18239			0.109607
$844$	23.0506	+	3.25619i	0.793433	+	0.112083i
$845$	13.5404			0.465804
$846$	0.942721	+	4.85906i	0.0324114	+	0.167058i
$847$	11.6364	+	20.1548i	0.399831	+	0.692528i
$848$	−2.80779	−	2.91580i	−0.0964198	−	0.100129i
$849$	5.28190	+	3.04951i	0.181274	+	0.104659i
$850$	−3.85721	+	11.1893i	−0.132301	+	0.383789i
$851$	20.7610	−	16.9517i	0.711679	−	0.581097i
$852$	−3.63843	+	4.65019i	−0.124651	+	0.159313i
$853$	17.8634	−	30.9403i	0.611630	−	1.05937i	−0.379335	−	0.925259i	$-0.623847\pi$
$853$	17.8634	−	30.9403i	0.611630	−	1.05937i	0.990966	−	0.134115i	$-0.0428193\pi$
$854$	−12.7871	−	65.9086i	−0.437566	−	2.25534i
$855$	28.5098	+	49.3804i	0.975014	+	1.68877i
$856$	29.9272	+	15.2887i	1.02289	+	0.522558i
$857$		−	20.2208i		−	0.690729i	−0.938469	−	0.345364i	$-0.887755\pi$
$857$		−	20.2208i		−	0.690729i	0.938469	−	0.345364i	$-0.112245\pi$
$858$	−0.656218	−	3.38234i	−0.0224029	−	0.115471i
$859$	−21.6926			−0.740141			−0.370070	−	0.929004i	$-0.620666\pi$
$859$	−21.6926			−0.740141			−0.370070	+	0.929004i	$0.620666\pi$
$860$	26.9857	−	10.8807i	0.920206	−	0.371030i
$861$		−	4.87562i		−	0.166161i
$862$	5.93002	−	17.2023i	0.201977	−	0.585911i
$863$	−22.4906	+	38.9549i	−0.765590	+	1.32604i	0.174344	+	0.984685i	$0.444219\pi$
$863$	−22.4906	+	38.9549i	−0.765590	+	1.32604i	−0.939934	+	0.341356i	$0.889114\pi$
$864$	4.54660	+	9.79543i	0.154678	+	0.333247i
$865$			62.2228i			2.11564i
$866$	−0.659938	+	0.573265i	−0.0224256	+	0.0194803i
$867$	3.96666	+	2.29015i	0.134715	+	0.0777777i
$868$	−37.4222	−	92.8123i	−1.27019	−	3.15025i
$869$	−7.81996	−	13.5446i	−0.265274	−	0.459468i
$870$	−0.714458	+	0.138614i	−0.0242224	+	0.00469946i
$871$	0.454906	+	0.262640i	0.0154139	+	0.00889922i
$872$	16.7854	−	0.861811i	0.568424	−	0.0291846i
$873$	4.15739	+	2.40027i	0.140706	+	0.0812368i
$874$	−12.6788	+	36.7795i	−0.428865	+	1.24409i
$875$	0.390356	+	0.676116i	0.0131964	+	0.0228569i
$876$	0.0472226	+	0.117119i	0.00159551	+	0.00395708i
$877$			15.5420i			0.524816i	0.964957	+	0.262408i	$0.0845166\pi$
$877$			15.5420i			0.524816i	−0.964957	+	0.262408i	$0.915483\pi$
$878$	1.59464	−	4.62584i	0.0538164	−	0.156115i
$879$	−4.74572	+	8.21982i	−0.160069	+	0.277248i
$880$	−31.2265	+	7.73870i	−1.05265	+	0.260872i
$881$	−27.6047	−	47.8127i	−0.930025	−	1.61085i	−0.783274	−	0.621677i	$-0.786452\pi$
$881$	−27.6047	−	47.8127i	−0.930025	−	1.61085i	−0.146751	−	0.989173i	$-0.546882\pi$
$882$	−76.4243	−	26.3453i	−2.57334	−	0.887091i
$883$	17.2604	+	29.8960i	0.580860	+	1.00608i	0.995378	+	0.0960378i	$0.0306170\pi$
$883$	17.2604	+	29.8960i	0.580860	+	1.00608i	−0.414518	+	0.910041i	$0.636050\pi$
$884$	−9.87580	−	1.39508i	−0.332159	−	0.0469217i
$885$	4.44741	−	2.56771i	0.149498	−	0.0863127i
$886$	−1.14814	−	1.32173i	−0.0385726	−	0.0444045i
$887$	35.0122			1.17559			0.587797	−	0.809008i	$-0.299995\pi$
$887$	35.0122			1.17559			0.587797	+	0.809008i	$0.299995\pi$
$888$	1.17466	+	5.44620i	0.0394190	+	0.182763i
$889$	18.7377			0.628443
$890$	−33.2102	−	38.2313i	−1.11321	−	1.28151i
$891$	−17.8115	+	10.2835i	−0.596708	+	0.344510i
$892$	3.79224	−	26.8453i	0.126974	−	0.898847i
$893$	−3.77363	−	6.53613i	−0.126280	−	0.218723i
$894$	−3.96049	−	1.36527i	−0.132459	−	0.0456616i
$895$	2.36029	+	4.08814i	0.0788958	+	0.136652i
$896$	−40.0084	+	42.6912i	−1.33659	+	1.42621i
$897$	2.10535	−	3.64657i	0.0702955	−	0.121755i
$898$	8.96217	−	25.9981i	0.299071	−	0.867569i
$899$		−	4.87393i		−	0.162555i
$900$	−26.5939	+	10.7227i	−0.886463	+	0.357424i
$901$	0.855101	+	1.48108i	0.0284875	+	0.0493419i
$902$	3.42096	−	9.92378i	0.113906	−	0.330426i
$903$	−6.68836	−	3.86153i	−0.222575	−	0.128504i
$904$	−1.71189	−	33.3423i	−0.0569367	−	1.10895i
$905$	54.5162	+	31.4750i	1.81218	+	1.04626i
$906$	7.16934	−	1.39095i	0.238185	−	0.0462111i
$907$	20.0437	+	34.7167i	0.665539	+	1.15275i	0.979139	+	0.203192i	$0.0651316\pi$
$907$	20.0437	+	34.7167i	0.665539	+	1.15275i	−0.313600	+	0.949555i	$0.601535\pi$
$908$	8.58011	−	3.45953i	0.284741	−	0.114808i
$909$	−38.9063	−	22.4625i	−1.29044	−	0.745035i
$910$	51.3989	−	44.6485i	1.70386	−	1.48008i
$911$		−	5.01411i		−	0.166125i	−0.996544	−	0.0830625i	$-0.973530\pi$
$911$		−	5.01411i		−	0.166125i	0.996544	−	0.0830625i	$-0.0264701\pi$
$912$	−5.60935	−	5.82513i	−0.185744	−	0.192889i
$913$	−6.28261	+	10.8818i	−0.207924	+	0.360135i
$914$	0.158873	−	0.460870i	0.00525505	−	0.0152442i
$915$			9.37819i			0.310033i
$916$	15.3763	+	38.1354i	0.508048	+	1.26003i
$917$	−39.6681			−1.30996
$918$	−0.868989	−	4.47902i	−0.0286809	−	0.147830i
$919$			35.1208i			1.15853i	0.815140	+	0.579265i	$0.196660\pi$
$919$			35.1208i			1.15853i	−0.815140	+	0.579265i	$0.803340\pi$
$920$	−35.0127	−	17.8867i	−1.15433	−	0.589708i
$921$	2.89022	+	5.00601i	0.0952360	+	0.164954i
$922$	1.32637	+	6.83651i	0.0436817	+	0.225149i
$923$	13.4509	−	23.2977i	0.442743	−	0.766854i
$924$	6.72517	+	5.26195i	0.221242	+	0.173105i
$925$	−29.7325	+	4.83275i	−0.977599	+	0.158900i
$926$	14.4033	−	41.7822i	0.473322	−	1.37305i
$927$	−8.41669	−	4.85938i	−0.276440	−	0.159603i
$928$	−2.58472	+	1.19971i	−0.0848476	+	0.0393824i
$929$	18.2946	+	31.6871i	0.600225	+	1.03962i	0.992787	+	0.119894i	$0.0382555\pi$
$929$	18.2946	+	31.6871i	0.600225	+	1.03962i	−0.392562	+	0.919726i	$0.628411\pi$
$930$	2.66242	+	13.7229i	0.0873041	+	0.449991i
$931$	123.262			4.03974
$932$	3.10084	−	21.9509i	0.101571	−	0.719024i
$933$	−5.39749			−0.176706
$934$	1.86752	−	1.62225i	0.0611073	−	0.0530818i
$935$	13.5920			0.444506
$936$	−13.1391	−	20.2796i	−0.429466	−	0.662860i
$937$	19.2537	−	33.3483i	0.628990	−	1.08944i	−0.358765	−	0.933428i	$-0.616802\pi$
$937$	19.2537	−	33.3483i	0.628990	−	1.08944i	0.987755	−	0.156014i	$-0.0498646\pi$
$938$	−1.27802	+	0.247953i	−0.0417289	+	0.00809595i
$939$	2.29561			0.0749144
$940$	7.07410	−	2.85230i	0.230732	−	0.0930317i
$941$	−18.0239	−	10.4061i	−0.587563	−	0.339230i	0.176570	−	0.984288i	$-0.443500\pi$
$941$	−18.0239	−	10.4061i	−0.587563	−	0.339230i	−0.764133	+	0.645058i	$0.776833\pi$
$942$	3.89449	−	3.38301i	0.126889	−	0.110224i
$943$	11.1097	−	6.41421i	0.361783	−	0.208876i
$944$	14.4838	−	13.9473i	0.471408	−	0.453945i
$945$	26.9722	+	15.5724i	0.877405	+	0.506570i
$946$	−10.9040	−	12.5526i	−0.354519	−	0.408119i
$947$	−11.9210	+	20.6477i	−0.387380	+	0.670961i	−0.992096	−	0.125480i	$-0.959953\pi$
$947$	−11.9210	+	20.6477i	−0.387380	+	0.670961i	0.604717	+	0.796441i	$0.293286\pi$
$948$	3.12917	+	2.44835i	0.101631	+	0.0795186i
$949$	−0.287681	−	0.498278i	−0.00933851	−	0.0161748i
$950$	33.0080	−	28.6729i	1.07092	−	0.930272i
$951$	−5.79304			−0.187852
$952$	20.7455	−	13.4410i	0.672366	−	0.435625i
$953$	−12.6121	+	21.8447i	−0.408544	+	0.707620i	−0.994727	−	0.102559i	$-0.967297\pi$
$953$	−12.6121	+	21.8447i	−0.408544	+	0.707620i	0.586182	+	0.810179i	$0.300630\pi$
$954$	−1.35034	+	3.91716i	−0.0437187	+	0.126823i
$955$	−65.2191	+	37.6543i	−2.11044	+	1.21846i
$956$	26.6227	−	34.0258i	0.861040	−	1.10047i
$957$	0.207944	+	0.360169i	0.00672186	+	0.0116426i
$958$	21.7840	−	4.22638i	0.703810	−	0.136548i
$959$	−22.8908	−	39.6481i	−0.739184	−	1.28030i
$960$	6.62211	−	4.78979i	0.213728	−	0.154590i
$961$	−62.6155			−2.01985
$962$	−8.77023	−	23.8215i	−0.282764	−	0.768037i
$963$		−	34.3989i		−	1.10849i
$964$	5.14624	+	12.7634i	0.165749	+	0.411082i
$965$	16.1459	−	9.32186i	0.519756	−	0.300081i
$966$	1.98761	+	10.2447i	0.0639504	+	0.329619i
$967$	−35.3531	+	20.4111i	−1.13688	+	0.656377i	−0.945656	−	0.325170i	$-0.894579\pi$
$967$	−35.3531	+	20.4111i	−1.13688	+	0.656377i	−0.191222	+	0.981547i	$0.561245\pi$
$968$	−6.92117	−	10.6825i	−0.222455	−	0.343348i
$969$	1.70831	+	2.95887i	0.0548787	+	0.0950527i
$970$	2.41092	−	6.99378i	0.0774101	−	0.224557i
$971$	−2.28414	−	1.31875i	−0.0733014	−	0.0423206i	0.462901	−	0.886410i	$-0.346808\pi$
$971$	−2.28414	−	1.31875i	−0.0733014	−	0.0423206i	−0.536203	+	0.844089i	$0.680142\pi$
$972$	10.2780	−	13.1360i	0.329666	−	0.421338i
$973$		−	75.4402i		−	2.41850i
$974$	−13.5471	−	15.5953i	−0.434076	−	0.499705i
$975$	−4.09828	+	2.36614i	−0.131250	+	0.0757772i
$976$	8.83284	+	35.6415i	0.282732	+	1.14086i
$977$	20.3096	+	11.7258i	0.649762	+	0.375140i	0.788365	−	0.615208i	$-0.210928\pi$
$977$	20.3096	+	11.7258i	0.649762	+	0.375140i	−0.138603	+	0.990348i	$0.544261\pi$
$978$	−5.27163	−	6.06866i	−0.168568	−	0.194054i
$979$	−14.4694	+	25.0617i	−0.462443	+	0.800976i
$980$	−17.4243	+	123.347i	−0.556600	+	3.94018i
$981$	−8.60192	−	14.8990i	−0.274638	−	0.475687i
$982$	−22.2879	−	25.6576i	−0.711236	−	0.818768i
$983$	0.519203	−	0.899285i	0.0165600	−	0.0286828i	−0.857627	−	0.514273i	$-0.828062\pi$
$983$	0.519203	−	0.899285i	0.0165600	−	0.0286828i	0.874187	+	0.485590i	$0.161395\pi$
$984$	0.136733	+	2.66313i	0.00435889	+	0.0848974i
$985$		−	70.6907i		−	2.25239i
$986$	1.18188	−	0.229300i	0.0376388	−	0.00730241i
$987$	−1.75330	−	1.01227i	−0.0558082	−	0.0322209i
$988$	29.0185	+	22.7048i	0.923201	+	0.722337i
$989$		−	20.3204i		−	0.646152i
$990$	21.5951	+	24.8601i	0.686339	+	0.790107i
$991$			10.0161i			0.318172i	0.987265	+	0.159086i	$0.0508548\pi$
$991$			10.0161i			0.318172i	−0.987265	+	0.159086i	$0.949145\pi$
$992$	23.0433	+	49.6458i	0.731626	+	1.57625i
$993$		−	1.57702i		−	0.0500454i
$994$	12.6988	+	65.4531i	0.402780	+	2.07605i
$995$	42.3018	−	24.4229i	1.34106	−	0.774259i
$996$	0.446489	−	3.16070i	0.0141475	−	0.100151i
$997$	11.2234	−	19.4395i	0.355449	−	0.615655i	−0.631746	−	0.775176i	$-0.717661\pi$
$997$	11.2234	−	19.4395i	0.355449	−	0.615655i	0.987195	+	0.159520i	$0.0509947\pi$
$998$	33.9235	+	11.6942i	1.07383	+	0.370174i
$999$	8.99472	−	7.34433i	0.284580	−	0.232364i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	296.2.q.a.101.30	yes	72
4.3	odd	2		1184.2.y.a.1137.20		72
8.3	odd	2		1184.2.y.a.1137.17		72
8.5	even	2	inner	296.2.q.a.101.18	yes	72
37.11	even	6	inner	296.2.q.a.85.18	✓	72
148.11	odd	6		1184.2.y.a.529.17		72
296.11	odd	6		1184.2.y.a.529.20		72
296.85	even	6	inner	296.2.q.a.85.30	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.q.a.85.18	✓	72	37.11	even	6	inner
296.2.q.a.85.30	yes	72	296.85	even	6	inner
296.2.q.a.101.18	yes	72	8.5	even	2	inner
296.2.q.a.101.30	yes	72	1.1	even	1	trivial
1184.2.y.a.529.17		72	148.11	odd	6
1184.2.y.a.529.20		72	296.11	odd	6
1184.2.y.a.1137.17		72	8.3	odd	2
1184.2.y.a.1137.20		72	4.3	odd	2

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:	\( N \)	\(=\)	\( 296 = 2^{3} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	296.q (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(1.06765 - 0.927430i) q^{2} +(-0.280448 + 0.161917i) q^{3} +(0.279748 - 1.98034i) q^{4} +(1.57735 + 2.73205i) q^{5} +(-0.149254 + 0.432966i) q^{6} +(2.58572 + 4.47860i) q^{7} +(-1.53795 - 2.37375i) q^{8} +(-1.44757 + 2.50726i) q^{9} +(4.21784 + 1.45399i) q^{10} -2.54946i q^{11} +(0.242195 + 0.600678i) q^{12} +(-1.47545 - 2.55556i) q^{13} +(6.91423 + 2.38350i) q^{14} +(-0.884730 - 0.510799i) q^{15} +(-3.84348 - 1.10799i) q^{16} +(1.46355 + 0.844981i) q^{17} +(0.779813 + 4.01939i) q^{18} +(-3.12153 - 5.40664i) q^{19} +(5.85165 - 2.35940i) q^{20} +(-1.45032 - 0.837343i) q^{21} +(-2.36445 - 2.72193i) q^{22} -4.40633i q^{23} +(0.815666 + 0.416694i) q^{24} +(-2.47607 + 4.28868i) q^{25} +(-3.94537 - 1.36006i) q^{26} -1.90904i q^{27} +(9.59249 - 3.86772i) q^{28} +0.503739 q^{29} +(-1.41831 + 0.275171i) q^{30} -9.67551i q^{31} +(-5.13107 + 2.38161i) q^{32} +(0.412800 + 0.714991i) q^{33} +(2.34622 - 0.455197i) q^{34} +(-8.15718 + 14.1286i) q^{35} +(4.56027 + 3.56807i) q^{36} +(3.84713 + 4.71164i) q^{37} +(-8.34698 - 2.87740i) q^{38} +(0.827576 + 0.477801i) q^{39} +(4.05933 - 7.94601i) q^{40} +(1.45568 + 2.52132i) q^{41} +(-2.32501 + 0.451082i) q^{42} +4.61165 q^{43} +(-5.04879 - 0.713207i) q^{44} -9.13328 q^{45} +(-4.08656 - 4.70441i) q^{46} +1.20891 q^{47} +(1.25730 - 0.311590i) q^{48} +(-9.87190 + 17.0986i) q^{49} +(1.33388 + 6.87519i) q^{50} -0.547266 q^{51} +(-5.47363 + 2.20699i) q^{52} +(0.876397 + 0.505988i) q^{53} +(-1.77050 - 2.03819i) q^{54} +(6.96526 - 4.02139i) q^{55} +(6.65438 - 13.0257i) q^{56} +(1.75085 + 1.01085i) q^{57} +(0.537816 - 0.467182i) q^{58} +(-2.51343 + 4.35338i) q^{59} +(-1.25906 + 1.60917i) q^{60} +(-4.58996 - 7.95004i) q^{61} +(-8.97335 - 10.3300i) q^{62} -14.9720 q^{63} +(-3.26941 + 7.30144i) q^{64} +(4.65462 - 8.06204i) q^{65} +(1.10383 + 0.380516i) q^{66} +(-0.154158 + 0.0890031i) q^{67} +(2.08277 - 2.66194i) q^{68} +(0.713458 + 1.23575i) q^{69} +(4.39433 + 22.6496i) q^{70} +(4.55824 + 7.89510i) q^{71} +(8.17790 - 0.419878i) q^{72} +0.194978 q^{73} +(8.47710 + 1.46244i) q^{74} -1.60367i q^{75} +(-11.5802 + 4.66918i) q^{76} +(11.4180 - 6.59219i) q^{77} +(1.32669 - 0.257395i) q^{78} +(5.31272 - 3.06730i) q^{79} +(-3.03543 - 12.2483i) q^{80} +(-4.03359 - 6.98639i) q^{81} +(3.89250 + 1.34184i) q^{82} +(-4.26827 - 2.46429i) q^{83} +(-2.06395 + 2.63788i) q^{84} +5.33133i q^{85} +(4.92362 - 4.27698i) q^{86} +(-0.141273 + 0.0815637i) q^{87} +(-6.05179 + 3.92095i) q^{88} +(-9.83020 - 5.67547i) q^{89} +(-9.75113 + 8.47047i) q^{90} +(7.63023 - 13.2159i) q^{91} +(-8.72602 - 1.23266i) q^{92} +(1.56663 + 2.71348i) q^{93} +(1.29069 - 1.12118i) q^{94} +(9.84749 - 17.0564i) q^{95} +(1.05338 - 1.49873i) q^{96} -1.65814i q^{97} +(5.31806 + 27.4108i) q^{98} +(6.39215 + 3.69051i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 6 q^{2} - 2 q^{4} + 2 q^{7} + 30 q^{9} - 12 q^{12} - 6 q^{15} - 6 q^{16} - 12 q^{17} - 48 q^{18} + 18 q^{20} - 12 q^{22} - 6 q^{24} - 32 q^{25} - 16 q^{26} + 10 q^{28} - 14 q^{30} - 6 q^{32} + 4 q^{33}+ \cdots + 48 q^{98}+O(q^{100}) \) 72 * q - 6 * q^2 - 2 * q^4 + 2 * q^7 + 30 * q^9 - 12 * q^12 - 6 * q^15 - 6 * q^16 - 12 * q^17 - 48 * q^18 + 18 * q^20 - 12 * q^22 - 6 * q^24 - 32 * q^25 - 16 * q^26 + 10 * q^28 - 14 * q^30 - 6 * q^32 + 4 * q^33 + 8 * q^34 + 4 * q^36 - 24 * q^38 - 6 * q^39 - 18 * q^40 + 6 * q^42 - 10 * q^44 - 8 * q^46 + 32 * q^47 + 20 * q^48 - 18 * q^49 + 12 * q^50 + 42 * q^52 + 30 * q^54 + 24 * q^55 - 24 * q^56 - 6 * q^57 - 8 * q^58 + 32 * q^62 + 8 * q^63 - 68 * q^64 + 6 * q^65 + 20 * q^70 + 18 * q^71 + 18 * q^72 - 64 * q^73 - 12 * q^74 - 72 * q^76 + 54 * q^78 + 54 * q^79 - 16 * q^81 - 12 * q^84 + 48 * q^86 - 108 * q^87 - 36 * q^89 + 24 * q^90 - 120 * q^92 - 72 * q^94 + 50 * q^95 + 36 * q^96 + 48 * q^98

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