LMFDB - Embedded newform 196.2.p.a.103.17

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [196,2,Mod(3,196)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("196.3"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(196, base_ring=CyclotomicField(42)) chi = DirichletCharacter(H, H._module([21, 1])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 196 = 2^{2} \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	196.p (of order $42$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$1.56506787962$
Analytic rank:	$0$
Dimension:	$312$
Relative dimension:	$26$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			103.17
Character	$\chi$	$=$	196.103
Dual form			196.2.p.a.59.17

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.368520 + 1.36535i) q^{2} +(-0.268248 - 0.182888i) q^{3} +(-1.72839 + 1.00632i) q^{4} +(-3.87544 - 0.290424i) q^{5} +(0.150853 - 0.433651i) q^{6} +(-1.56212 + 2.13536i) q^{7} +(-2.01093 - 1.98901i) q^{8} +(-1.05751 - 2.69450i) q^{9} +(-1.03165 - 5.39838i) q^{10} +(3.83683 + 1.50584i) q^{11} +(0.647680 + 0.0461581i) q^{12} +(-3.48169 + 2.77655i) q^{13} +(-3.49120 - 1.34593i) q^{14} +(0.986464 + 0.786679i) q^{15} +(1.97464 - 3.47862i) q^{16} +(1.72962 + 1.86409i) q^{17} +(3.28924 - 2.43686i) q^{18} +(-2.67127 + 4.62677i) q^{19} +(6.99052 - 3.39797i) q^{20} +(0.809569 - 0.287113i) q^{21} +(-0.642063 + 5.79357i) q^{22} +(-1.95374 + 2.10563i) q^{23} +(0.175661 + 0.901323i) q^{24} +(9.99054 + 1.50583i) q^{25} +(-5.07405 - 3.73052i) q^{26} +(-0.425849 + 1.86577i) q^{27} +(0.551088 - 5.26273i) q^{28} +(-0.966524 - 4.23462i) q^{29} +(-0.710563 + 1.63678i) q^{30} +(-1.62402 - 2.81289i) q^{31} +(5.47725 + 1.41414i) q^{32} +(-0.753820 - 1.10565i) q^{33} +(-1.90774 + 3.04850i) q^{34} +(6.67407 - 7.82180i) q^{35} +(4.53933 + 3.59294i) q^{36} +(-2.52615 - 0.779213i) q^{37} +(-7.30160 - 1.94217i) q^{38} +(1.44175 - 0.108045i) q^{39} +(7.21558 + 8.29231i) q^{40} +(0.309311 + 0.642291i) q^{41} +(0.690353 + 0.999542i) q^{42} +(-3.62349 + 7.52426i) q^{43} +(-8.14689 + 1.25840i) q^{44} +(3.31579 + 10.7495i) q^{45} +(-3.59492 - 1.89158i) q^{46} +(5.43584 - 0.819322i) q^{47} +(-1.16589 + 0.571995i) q^{48} +(-2.11955 - 6.67139i) q^{49} +(1.62572 + 14.1956i) q^{50} +(-0.123047 - 0.816365i) q^{51} +(3.22360 - 8.30265i) q^{52} +(-1.19499 + 0.368606i) q^{53} +(-2.70437 + 0.106137i) q^{54} +(-14.4321 - 6.95012i) q^{55} +(7.38858 - 1.18699i) q^{56} +(1.56274 - 0.752578i) q^{57} +(5.42557 - 2.88019i) q^{58} +(-0.170865 - 2.28004i) q^{59} +(-2.49664 - 0.366985i) q^{60} +(-2.41883 + 7.84164i) q^{61} +(3.24211 - 3.25398i) q^{62} +(7.40571 + 1.95096i) q^{63} +(0.0876778 + 7.99952i) q^{64} +(14.2995 - 9.74920i) q^{65} +(1.23181 - 1.43669i) q^{66} +(-9.53210 + 5.50336i) q^{67} +(-4.86532 - 1.48131i) q^{68} +(0.909182 - 0.207515i) q^{69} +(13.1391 + 6.22998i) q^{70} +(10.3693 + 2.36673i) q^{71} +(-3.23281 + 7.52186i) q^{72} +(0.802703 - 5.32559i) q^{73} +(0.132966 - 3.73624i) q^{74} +(-2.40454 - 2.23109i) q^{75} +(-0.0390359 - 10.6850i) q^{76} +(-9.20912 + 5.84071i) q^{77} +(0.678835 + 1.92869i) q^{78} +(-0.555886 - 0.320941i) q^{79} +(-8.66286 + 12.9077i) q^{80} +(-5.91020 + 5.48387i) q^{81} +(-0.762968 + 0.659017i) q^{82} +(3.40958 - 4.27548i) q^{83} +(-1.11032 + 1.31093i) q^{84} +(-6.16167 - 7.72649i) q^{85} +(-11.6086 - 2.17451i) q^{86} +(-0.515194 + 1.31269i) q^{87} +(-4.72046 - 10.6596i) q^{88} +(-3.68475 + 1.44616i) q^{89} +(-13.4550 + 8.48863i) q^{90} +(-0.490130 - 11.7720i) q^{91} +(1.25788 - 5.60543i) q^{92} +(-0.0788041 + 1.05157i) q^{93} +(3.12188 + 7.11992i) q^{94} +(11.6961 - 17.1550i) q^{95} +(-1.21063 - 1.38106i) q^{96} -0.875631i q^{97} +(8.32772 - 5.35248i) q^{98} -11.9308i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 312 q - 13 q^{2} - 13 q^{4} - 22 q^{5} - 14 q^{6} - 4 q^{8} - 4 q^{9} - 20 q^{10} + 9 q^{12} - 28 q^{13} - 51 q^{14} - 17 q^{16} - 22 q^{17} - 12 q^{18} - 14 q^{20} - 34 q^{21} - 18 q^{22} - 44 q^{24} - 48 q^{25}+ \cdots + 183 q^{98}+O(q^{100}) $ 312 * q - 13 * q^2 - 13 * q^4 - 22 * q^5 - 14 * q^6 - 4 * q^8 - 4 * q^9 - 20 * q^10 + 9 * q^12 - 28 * q^13 - 51 * q^14 - 17 * q^16 - 22 * q^17 - 12 * q^18 - 14 * q^20 - 34 * q^21 - 18 * q^22 - 44 * q^24 - 48 * q^25 - 2 * q^26 - 36 * q^28 - 11 * q^30 - 13 * q^32 - 34 * q^33 - 98 * q^34 - 4 * q^36 - 58 * q^37 - 18 * q^38 + 30 * q^40 - 28 * q^41 - 26 * q^42 + 16 * q^44 - 28 * q^45 - 14 * q^46 - 24 * q^49 + 96 * q^50 - 14 * q^52 - 22 * q^53 - 17 * q^54 + 40 * q^56 + 34 * q^57 - 12 * q^58 + 98 * q^60 - 38 * q^61 - 4 * q^64 - 32 * q^65 - 176 * q^66 - 21 * q^68 + 28 * q^69 + 50 * q^70 - 120 * q^72 - 58 * q^73 - 14 * q^74 - 91 * q^76 - 18 * q^77 - 112 * q^78 + 66 * q^80 - 170 * q^81 + 114 * q^82 + 140 * q^84 - 24 * q^85 + 97 * q^86 + 127 * q^88 - 82 * q^89 + 266 * q^90 + 34 * q^92 + 226 * q^94 + 122 * q^96 + 183 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/196\mathbb{Z}\right)^\times$.

$n$	$99$	$101$
$\chi(n)$	$-1$	$e\left(\frac{29}{42}\right)$

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 $

$2$	0.368520	+	1.36535i	0.260583	+	0.965451i
$2$	0.368520	+	1.36535i	0.260583	+	0.965451i
$3$	−0.268248	−	0.182888i	−0.154873	−	0.105591i	0.483404	−	0.875397i	$-0.339400\pi$
$3$	−0.268248	−	0.182888i	−0.154873	−	0.105591i	−0.638277	+	0.769807i	$0.720353\pi$
$4$	−1.72839	+	1.00632i	−0.864193	+	0.503161i
$5$	−3.87544	−	0.290424i	−1.73315	−	0.129882i	−0.829598	−	0.558361i	$-0.811431\pi$
$5$	−3.87544	−	0.290424i	−1.73315	−	0.129882i	−0.903552	+	0.428479i	$0.859050\pi$
$6$	0.150853	−	0.433651i	0.0615853	−	0.177037i
$7$	−1.56212	+	2.13536i	−0.590426	+	0.807091i
$7$	−1.56212	+	2.13536i	−0.590426	+	0.807091i
$8$	−2.01093	−	1.98901i	−0.710971	−	0.703221i
$9$	−1.05751	−	2.69450i	−0.352505	−	0.898167i
$10$	−1.03165	−	5.39838i	−0.326235	−	1.70712i
$11$	3.83683	+	1.50584i	1.15685	+	0.454029i	0.864673	−	0.502336i	$-0.167526\pi$
$11$	3.83683	+	1.50584i	1.15685	+	0.454029i	0.292175	+	0.956365i	$0.405621\pi$
$12$	0.647680	+	0.0461581i	0.186969	+	0.0133247i
$13$	−3.48169	+	2.77655i	−0.965646	+	0.770077i	−0.973216	−	0.229894i	$-0.926162\pi$
$13$	−3.48169	+	2.77655i	−0.965646	+	0.770077i	0.00756928	+	0.999971i	$0.497591\pi$
$14$	−3.49120	−	1.34593i	−0.933063	−	0.359714i
$15$	0.986464	+	0.786679i	0.254704	+	0.203120i
$16$	1.97464	−	3.47862i	0.493659	−	0.869656i
$17$	1.72962	+	1.86409i	0.419495	+	0.452108i	0.907074	−	0.420971i	$-0.138311\pi$
$17$	1.72962	+	1.86409i	0.419495	+	0.452108i	−0.487579	+	0.873079i	$0.662120\pi$
$18$	3.28924	−	2.43686i	0.775280	−	0.574373i
$19$	−2.67127	+	4.62677i	−0.612831	+	1.06145i	0.377930	+	0.925834i	$0.376636\pi$
$19$	−2.67127	+	4.62677i	−0.612831	+	1.06145i	−0.990761	+	0.135620i	$0.956697\pi$
$20$	6.99052	−	3.39797i	1.56313	−	0.759810i
$21$	0.809569	−	0.287113i	0.176662	−	0.0626532i
$22$	−0.642063	+	5.79357i	−0.136888	+	1.23519i
$23$	−1.95374	+	2.10563i	−0.407383	+	0.439054i	−0.903100	−	0.429430i	$-0.858715\pi$
$23$	−1.95374	+	2.10563i	−0.407383	+	0.439054i	0.495718	+	0.868484i	$0.334905\pi$
$24$	0.175661	+	0.901323i	0.0358566	+	0.183982i
$25$	9.99054	+	1.50583i	1.99811	+	0.301166i
$26$	−5.07405	−	3.73052i	−0.995103	−	0.731616i
$27$	−0.425849	+	1.86577i	−0.0819547	+	0.359067i
$28$	0.551088	−	5.26273i	0.104146	−	0.994562i
$29$	−0.966524	−	4.23462i	−0.179479	−	0.786349i	−0.981871	−	0.189551i	$-0.939297\pi$
$29$	−0.966524	−	4.23462i	−0.179479	−	0.786349i	0.802392	−	0.596798i	$-0.203561\pi$
$30$	−0.710563	+	1.63678i	−0.129731	+	0.298834i
$31$	−1.62402	−	2.81289i	−0.291683	−	0.505210i	0.682525	−	0.730863i	$-0.260882\pi$
$31$	−1.62402	−	2.81289i	−0.291683	−	0.505210i	−0.974208	+	0.225652i	$0.927549\pi$
$32$	5.47725	+	1.41414i	0.968249	+	0.249986i
$33$	−0.753820	−	1.10565i	−0.131223	−	0.192469i
$34$	−1.90774	+	3.04850i	−0.327175	+	0.522813i
$35$	6.67407	−	7.82180i	1.12812	−	1.32212i
$36$	4.53933	+	3.59294i	0.756555	+	0.598824i
$37$	−2.52615	−	0.779213i	−0.415296	−	0.128102i	0.0800638	−	0.996790i	$-0.474488\pi$
$37$	−2.52615	−	0.779213i	−0.415296	−	0.128102i	−0.495360	+	0.868688i	$0.664964\pi$
$38$	−7.30160	−	1.94217i	−1.18448	−	0.315061i
$39$	1.44175	−	0.108045i	0.230865	−	0.0173010i
$40$	7.21558	+	8.29231i	1.14088	+	1.31113i
$41$	0.309311	+	0.642291i	0.0483063	+	0.100309i	0.923725	−	0.383056i	$-0.125129\pi$
$41$	0.309311	+	0.642291i	0.0483063	+	0.100309i	−0.875419	+	0.483365i	$0.839414\pi$
$42$	0.690353	+	0.999542i	0.106524	+	0.154233i
$43$	−3.62349	+	7.52426i	−0.552578	+	1.14744i	0.418399	+	0.908263i	$0.362591\pi$
$43$	−3.62349	+	7.52426i	−0.552578	+	1.14744i	−0.970976	+	0.239176i	$0.923123\pi$
$44$	−8.14689	+	1.25840i	−1.22819	+	0.189711i
$45$	3.31579	+	10.7495i	0.494288	+	1.60244i
$46$	−3.59492	−	1.89158i	−0.530043	−	0.278898i
$47$	5.43584	−	0.819322i	0.792899	−	0.119510i	0.259911	−	0.965633i	$-0.416307\pi$
$47$	5.43584	−	0.819322i	0.792899	−	0.119510i	0.532989	+	0.846122i	$0.321069\pi$
$48$	−1.16589	+	0.571995i	−0.168282	+	0.0825604i
$49$	−2.11955	−	6.67139i	−0.302793	−	0.953056i
$50$	1.62572	+	14.1956i	0.229912	+	2.00756i
$51$	−0.123047	−	0.816365i	−0.0172301	−	0.114314i
$52$	3.22360	−	8.30265i	0.447032	−	1.15137i
$53$	−1.19499	+	0.368606i	−0.164144	+	0.0506319i	−0.375738	−	0.926726i	$-0.622611\pi$
$53$	−1.19499	+	0.368606i	−0.164144	+	0.0506319i	0.211594	+	0.977358i	$0.432135\pi$
$54$	−2.70437	+	0.106137i	−0.368018	+	0.0144435i
$55$	−14.4321	−	6.95012i	−1.94602	−	0.937154i
$56$	7.38858	−	1.18699i	0.987340	−	0.158618i
$57$	1.56274	−	0.752578i	0.206991	−	0.0996814i
$58$	5.42557	−	2.88019i	0.712413	−	0.378188i
$59$	−0.170865	−	2.28004i	−0.0222447	−	0.296835i	−0.997220	−	0.0745200i	$-0.976258\pi$
$59$	−0.170865	−	2.28004i	−0.0222447	−	0.296835i	0.974975	−	0.222316i	$-0.0713615\pi$
$60$	−2.49664	−	0.366985i	−0.322315	−	0.0473776i
$61$	−2.41883	+	7.84164i	−0.309699	+	1.00402i	0.658235	+	0.752813i	$0.271303\pi$
$61$	−2.41883	+	7.84164i	−0.309699	+	1.00402i	−0.967934	+	0.251206i	$0.919173\pi$
$62$	3.24211	−	3.25398i	0.411748	−	0.413255i
$63$	7.40571	+	1.95096i	0.933031	+	0.245798i
$64$	0.0876778	+	7.99952i	0.0109597	+	0.999940i
$65$	14.2995	−	9.74920i	1.77363	−	1.20924i
$66$	1.23181	−	1.43669i	0.151625	−	0.176844i
$67$	−9.53210	+	5.50336i	−1.16453	+	0.672342i	−0.952386	−	0.304896i	$-0.901378\pi$
$67$	−9.53210	+	5.50336i	−1.16453	+	0.672342i	−0.212145	+	0.977238i	$0.568045\pi$
$68$	−4.86532	−	1.48131i	−0.590007	−	0.179635i
$69$	0.909182	−	0.207515i	0.109453	−	0.0249818i
$70$	13.1391	+	6.22998i	1.57042	+	0.744626i
$71$	10.3693	+	2.36673i	1.23061	+	0.280880i	0.787911	−	0.615789i	$-0.211163\pi$
$71$	10.3693	+	2.36673i	1.23061	+	0.280880i	0.442703	+	0.896669i	$0.354020\pi$
$72$	−3.23281	+	7.52186i	−0.380990	+	0.886460i
$73$	0.802703	−	5.32559i	0.0939493	−	0.623313i	−0.891459	−	0.453102i	$-0.850317\pi$
$73$	0.802703	−	5.32559i	0.0939493	−	0.623313i	0.985408	−	0.170210i	$-0.0544447\pi$
$74$	0.132966	−	3.73624i	0.0154570	−	0.434329i
$75$	−2.40454	−	2.23109i	−0.277653	−	0.257624i
$76$	−0.0390359	−	10.6850i	−0.00447772	−	1.22565i
$77$	−9.20912	+	5.84071i	−1.04948	+	0.665611i
$78$	0.678835	+	1.92869i	0.0768629	+	0.218381i
$79$	−0.555886	−	0.320941i	−0.0625420	−	0.0361087i	0.468403	−	0.883515i	$-0.344830\pi$
$79$	−0.555886	−	0.320941i	−0.0625420	−	0.0361087i	−0.530945	+	0.847406i	$0.678163\pi$
$80$	−8.66286	+	12.9077i	−0.968537	+	1.44313i
$81$	−5.91020	+	5.48387i	−0.656689	+	0.609319i
$82$	−0.762968	+	0.659017i	−0.0842557	+	0.0727762i
$83$	3.40958	−	4.27548i	0.374250	−	0.469295i	−0.558664	−	0.829394i	$-0.688686\pi$
$83$	3.40958	−	4.27548i	0.374250	−	0.469295i	0.932914	+	0.360099i	$0.117257\pi$
$84$	−1.11032	+	1.31093i	−0.121146	+	0.143034i
$85$	−6.16167	−	7.72649i	−0.668327	−	0.838055i
$86$	−11.6086	−	2.17451i	−1.25179	−	0.234484i
$87$	−0.515194	+	1.31269i	−0.0552346	+	0.140736i
$88$	−4.72046	−	10.6596i	−0.503202	−	1.13632i
$89$	−3.68475	+	1.44616i	−0.390583	+	0.153293i	−0.552502	−	0.833511i	$-0.686327\pi$
$89$	−3.68475	+	1.44616i	−0.390583	+	0.153293i	0.161919	+	0.986804i	$0.448232\pi$
$90$	−13.4550	+	8.48863i	−1.41828	+	0.894781i
$91$	−0.490130	−	11.7720i	−0.0513796	−	1.23404i
$92$	1.25788	−	5.60543i	0.131143	−	0.584407i
$93$	−0.0788041	+	1.05157i	−0.00817160	+	0.109042i
$94$	3.12188	+	7.11992i	0.321998	+	0.734364i
$95$	11.6961	−	17.1550i	1.19999	−	1.76006i
$96$	−1.21063	−	1.38106i	−0.123559	−	0.140954i
$97$		−	0.875631i		−	0.0889069i	−0.999011	−	0.0444534i	$-0.985845\pi$
$97$		−	0.875631i		−	0.0889069i	0.999011	−	0.0444534i	$-0.0141546\pi$
$98$	8.32772	−	5.35248i	0.841227	−	0.540682i
$99$		−	11.9308i		−	1.19909i
$100$	−18.7829	+	7.45104i	−1.87829	+	0.745104i
$101$	11.1070	−	16.2909i	1.10518	−	1.62101i	0.392113	−	0.919917i	$-0.371744\pi$
$101$	11.1070	−	16.2909i	1.10518	−	1.62101i	0.713072	−	0.701091i	$-0.247303\pi$
$102$	1.06928	−	0.468850i	0.105875	−	0.0464231i
$103$	0.127221	−	1.69765i	0.0125355	−	0.167274i	−0.987422	−	0.158104i	$-0.949462\pi$
$103$	0.127221	−	1.69765i	0.0125355	−	0.167274i	0.999958	−	0.00917024i	$-0.00291902\pi$
$104$	12.5240	+	1.34166i	1.22808	+	0.131560i
$105$	−3.22082	+	0.877571i	−0.314320	+	0.0856421i
$106$	−0.943655	−	1.49575i	−0.0916559	−	0.145280i
$107$	−9.38434	+	3.68308i	−0.907219	+	0.356057i	−0.772639	−	0.634846i	$-0.781064\pi$
$107$	−9.38434	+	3.68308i	−0.907219	+	0.356057i	−0.134580	+	0.990903i	$0.542968\pi$
$108$	−1.14153	−	3.65330i	−0.109844	−	0.351539i
$109$	−6.27344	+	15.9845i	−0.600886	+	1.53103i	0.229189	+	0.973382i	$0.426393\pi$
$109$	−6.27344	+	15.9845i	−0.600886	+	1.53103i	−0.830075	+	0.557652i	$0.811703\pi$
$110$	4.17087	−	22.2662i	0.397677	−	2.12299i
$111$	0.535125	+	0.671025i	0.0507918	+	0.0636909i
$112$	4.34350	+	9.65060i	0.410422	+	0.911896i
$113$	−2.78091	+	3.48715i	−0.261606	+	0.328043i	−0.895236	−	0.445593i	$-0.852993\pi$
$113$	−2.78091	+	3.48715i	−0.261606	+	0.328043i	0.633630	+	0.773636i	$0.281564\pi$
$114$	1.60344	+	1.85636i	0.150176	+	0.173864i
$115$	8.18313	−	7.59283i	0.763081	−	0.708035i
$116$	5.93191	+	6.34642i	0.550764	+	0.589251i
$117$	11.1634	+	6.44517i	1.03205	+	0.595856i
$118$	3.05009	−	1.07353i	0.280784	−	0.0988265i
$119$	−6.68238	+	0.781437i	−0.612573	+	0.0716342i
$120$	−0.418998	−	3.54404i	−0.0382491	−	0.323525i
$121$	4.39012	+	4.07344i	0.399102	+	0.370313i
$122$	−11.5980	−	0.412753i	−1.05003	−	0.0373689i
$123$	0.0344955	−	0.228863i	0.00311036	−	0.0206359i
$124$	5.63761	+	3.22747i	0.506273	+	0.289836i
$125$	−19.3361	−	4.41334i	−1.72947	−	0.394741i
$126$	0.0653950	+	10.8304i	0.00582585	+	0.964847i
$127$	−1.96231	+	0.447885i	−0.174127	+	0.0397434i	−0.308695	−	0.951161i	$-0.599892\pi$
$127$	−1.96231	+	0.447885i	−0.174127	+	0.0397434i	0.134568	+	0.990904i	$0.457035\pi$
$128$	−10.8899	+	3.06769i	−0.962538	+	0.271148i
$129$	2.34809	−	1.35567i	0.206738	−	0.119360i
$130$	18.5808	+	15.9310i	1.62964	+	1.39725i
$131$	−18.1717	+	12.3893i	−1.58767	+	1.08246i	−0.637626	+	0.770346i	$0.720083\pi$
$131$	−18.1717	+	12.3893i	−1.58767	+	1.08246i	−0.950046	+	0.312110i	$0.898964\pi$
$132$	2.41553	+	1.15241i	0.210245	+	0.100304i
$133$	−5.70699	−	12.9317i	−0.494859	−	1.12132i
$134$	−11.0268	−	10.9866i	−0.952571	−	0.949097i
$135$	2.19222	−	7.10699i	0.188676	−	0.611672i
$136$	0.229543	−	7.18878i	0.0196832	−	0.616433i
$137$	−0.179640	−	2.39713i	−0.0153477	−	0.204801i	−0.999606	−	0.0280652i	$-0.991065\pi$
$137$	−0.179640	−	2.39713i	−0.0153477	−	0.204801i	0.984258	−	0.176735i	$-0.0565537\pi$
$138$	0.618383	+	1.16488i	0.0526402	+	0.0991613i
$139$	16.6451	−	8.01584i	1.41182	−	0.679894i	0.436295	−	0.899804i	$-0.356290\pi$
$139$	16.6451	−	8.01584i	1.41182	−	0.679894i	0.975520	+	0.219909i	$0.0705761\pi$
$140$	−3.66413	+	20.2353i	−0.309676	+	1.71020i
$141$	−1.60800	−	0.774371i	−0.135418	−	0.0652138i
$142$	0.589878	+	15.0300i	0.0495015	+	1.26129i
$143$	−17.5397	+	5.41028i	−1.46674	+	0.452430i
$144$	−11.4614	−	1.64197i	−0.955113	−	0.136831i
$145$	2.51587	+	16.6917i	0.208932	+	1.38617i
$146$	7.56712	−	0.866611i	0.626260	−	0.0717212i
$147$	−0.651555	+	2.17723i	−0.0537393	+	0.179575i
$148$	5.15030	−	1.19533i	0.423352	−	0.0982558i
$149$	8.44228	−	1.27247i	0.691619	−	0.104245i	0.206178	−	0.978514i	$-0.433897\pi$
$149$	8.44228	−	1.27247i	0.691619	−	0.104245i	0.485441	+	0.874270i	$0.338659\pi$
$150$	2.16011	−	4.10526i	0.176372	−	0.335193i
$151$	5.90466	+	19.1424i	0.480514	+	1.55779i	0.793830	+	0.608140i	$0.208084\pi$
$151$	5.90466	+	19.1424i	0.480514	+	1.55779i	−0.313315	+	0.949649i	$0.601440\pi$
$152$	14.5744	−	3.99093i	1.18214	−	0.323708i
$153$	3.19369	−	6.63177i	0.258195	−	0.536147i
$154$	−11.3684	−	10.4213i	−0.916091	−	0.839772i
$155$	5.47688	+	11.3729i	0.439913	+	0.913490i
$156$	−2.38318	+	1.63761i	−0.190807	+	0.131114i
$157$	5.16129	−	0.386785i	0.411916	−	0.0308688i	0.132839	−	0.991138i	$-0.457591\pi$
$157$	5.16129	−	0.386785i	0.411916	−	0.0308688i	0.279077	+	0.960269i	$0.409972\pi$
$158$	0.233343	−	0.877254i	0.0185638	−	0.0697906i
$159$	0.387967	+	0.119672i	0.0307678	+	0.00949061i
$160$	−20.8160	−	7.07113i	−1.64565	−	0.559022i
$161$	−1.44431	−	7.46119i	−0.113827	−	0.588024i
$162$	−9.66545	−	6.04861i	−0.759390	−	0.475224i
$163$	8.51623	+	12.4910i	0.667043	+	0.978372i	0.999380	+	0.0352112i	$0.0112104\pi$
$163$	8.51623	+	12.4910i	0.667043	+	0.978372i	−0.332337	+	0.943161i	$0.607837\pi$
$164$	−1.18096	−	0.798861i	−0.0922175	−	0.0623806i
$165$	2.60028	+	4.50381i	0.202431	+	0.350621i
$166$	7.09404	+	3.07969i	0.550604	+	0.239030i
$167$	3.13516	+	13.7360i	0.242606	+	1.06293i	0.938635	+	0.344912i	$0.112091\pi$
$167$	3.13516	+	13.7360i	0.242606	+	1.06293i	−0.696029	+	0.718014i	$0.745052\pi$
$168$	−2.19906	−	1.03288i	−0.169661	−	0.0796882i
$169$	1.52013	−	6.66012i	0.116933	−	0.512317i
$170$	8.27870	−	11.2602i	0.634947	−	0.863620i
$171$	15.2918	+	2.30486i	1.16939	+	0.176257i
$172$	−1.30903	−	16.6512i	−0.0998124	−	1.26964i
$173$	−5.33590	+	5.75073i	−0.405681	+	0.437220i	−0.902537	−	0.430613i	$-0.858297\pi$
$173$	−5.33590	+	5.75073i	−0.405681	+	0.437220i	0.496856	+	0.867833i	$0.334488\pi$
$174$	−1.98215	−	0.219669i	−0.150267	−	0.0166531i
$175$	−18.8219	+	18.9811i	−1.42281	+	1.43484i
$176$	12.8146	−	10.3734i	0.965937	−	0.781923i
$177$	−0.371158	+	0.642864i	−0.0278979	+	0.0483206i
$178$	−3.33243	−	4.49806i	−0.249776	−	0.337144i
$179$	−7.44187	−	8.02043i	−0.556232	−	0.599475i	0.390855	−	0.920452i	$-0.372179\pi$
$179$	−7.44187	−	8.02043i	−0.556232	−	0.599475i	−0.947087	+	0.320977i	$0.895989\pi$
$180$	−16.5484	−	15.2426i	−1.23345	−	1.13611i
$181$	−1.18333	−	0.943677i	−0.0879565	−	0.0701429i	0.578524	−	0.815665i	$-0.303629\pi$
$181$	−1.18333	−	0.943677i	−0.0879565	−	0.0701429i	−0.666481	+	0.745522i	$0.732200\pi$
$182$	15.8923	−	5.00741i	1.17802	−	0.371174i
$183$	2.08299	−	1.66113i	0.153979	−	0.122794i
$184$	8.11695	−	0.348267i	0.598390	−	0.0256746i
$185$	9.56363	+	3.75345i	0.703132	+	0.275959i
$186$	−1.46480	+	0.279928i	−0.107405	+	0.0205253i
$187$	3.82923	+	9.75673i	0.280021	+	0.713483i
$188$	−8.57074	+	6.88631i	−0.625085	+	0.502236i
$189$	−3.31886	−	3.82390i	−0.241412	−	0.278147i
$190$	27.7329	+	9.64732i	2.01195	+	0.699890i
$191$	−4.22584	−	0.316683i	−0.305771	−	0.0229143i	−0.0790388	−	0.996872i	$-0.525185\pi$
$191$	−4.22584	−	0.316683i	−0.305771	−	0.0229143i	−0.226732	+	0.973957i	$0.572804\pi$
$192$	1.43950	−	2.16189i	0.103887	−	0.156021i
$193$	14.7138	+	10.0317i	1.05913	+	0.722099i	0.961966	−	0.273169i	$-0.0880720\pi$
$193$	14.7138	+	10.0317i	1.05913	+	0.722099i	0.0971593	+	0.995269i	$0.469024\pi$
$194$	1.19555	−	0.322688i	0.0858353	−	0.0231676i
$195$	−5.61881			−0.402372
$196$	10.3770	+	9.39779i	0.741212	+	0.671271i
$197$	17.8932			1.27484			0.637420	−	0.770517i	$-0.280002\pi$
$197$	17.8932			1.27484			0.637420	+	0.770517i	$0.280002\pi$
$198$	16.2898	−	4.39674i	1.15766	−	0.312463i
$199$	−1.36717	−	0.932124i	−0.0969164	−	0.0660765i	0.513892	−	0.857855i	$-0.328203\pi$
$199$	−1.36717	−	0.932124i	−0.0969164	−	0.0660765i	−0.610809	+	0.791778i	$0.709156\pi$
$200$	−17.0952	−	22.8994i	−1.20881	−	1.61923i
$201$	3.56347	+	0.267045i	0.251347	+	0.0188359i
$202$	26.3360	+	9.16142i	1.85300	+	0.644595i
$203$	10.5523	+	4.55111i	0.740625	+	0.319425i
$204$	1.03420	+	1.28717i	0.0724084	+	0.0901198i
$205$	−1.01218	−	2.57899i	−0.0706938	−	0.180125i
$206$	2.36477	−	0.451915i	0.164762	−	0.0314864i
$207$	7.73973	+	3.03762i	0.537949	+	0.211129i
$208$	2.78351	+	17.5942i	0.193002	+	1.21994i
$209$	−17.2164	+	13.7296i	−1.19088	+	0.949698i
$210$	−2.38513	−	4.07416i	−0.164590	−	0.281144i
$211$	−16.5851	−	13.2262i	−1.14177	−	0.910528i	−0.144885	−	0.989449i	$-0.546281\pi$
$211$	−16.5851	−	13.2262i	−1.14177	−	0.910528i	−0.996881	+	0.0789209i	$0.974853\pi$
$212$	1.69447	−	1.83964i	0.116377	−	0.126347i
$213$	−2.34870	−	2.53130i	−0.160931	−	0.173442i
$214$	−8.48703	−	11.4557i	−0.580162	−	0.783093i
$215$	16.2279	−	28.1075i	1.10673	−	1.91691i
$216$	4.56738	−	2.90491i	0.310771	−	0.197654i
$217$	8.54347	+	0.926198i	0.579969	+	0.0628744i
$218$	−24.1363	−	2.67487i	−1.63472	−	0.181165i
$219$	−1.18931	+	1.28177i	−0.0803662	+	0.0866141i
$220$	31.9382	−	2.51081i	2.15328	−	0.169279i
$221$	−11.1977	−	1.68779i	−0.753241	−	0.113533i
$222$	−0.718983	+	0.977921i	−0.0482550	+	0.0656338i
$223$	−2.60892	+	11.4304i	−0.174706	+	0.765439i	0.809313	+	0.587378i	$0.199840\pi$
$223$	−2.60892	+	11.4304i	−0.174706	+	0.765439i	−0.984019	+	0.178061i	$0.943018\pi$
$224$	−11.5758	+	9.48686i	−0.773442	+	0.633867i
$225$	−6.50767	−	28.5120i	−0.433845	−	1.90080i
$226$	−5.78601	−	2.51184i	−0.384880	−	0.167085i
$227$	6.40484	+	11.0935i	0.425104	+	0.736302i	0.996430	−	0.0844212i	$-0.0269041\pi$
$227$	6.40484	+	11.0935i	0.425104	+	0.736302i	−0.571326	+	0.820723i	$0.693571\pi$
$228$	−1.94369	+	2.87337i	−0.128724	+	0.190293i
$229$	−6.62568	−	9.71809i	−0.437837	−	0.642189i	0.542375	−	0.840136i	$-0.317525\pi$
$229$	−6.62568	−	9.71809i	−0.437837	−	0.642189i	−0.980213	+	0.197947i	$0.936573\pi$
$230$	13.3826	+	8.37476i	0.882420	+	0.552215i
$231$	3.53852	+	0.117482i	0.232818	+	0.00772972i
$232$	−6.47909	+	10.4379i	−0.425373	+	0.685285i
$233$	−0.459933	−	0.141871i	−0.0301312	−	0.00929425i	0.279653	−	0.960101i	$-0.409781\pi$
$233$	−0.459933	−	0.141871i	−0.0301312	−	0.00929425i	−0.309784	+	0.950807i	$0.600257\pi$
$234$	−4.68602	+	17.6171i	−0.306335	+	1.15167i
$235$	−21.3042	+	1.59653i	−1.38974	+	0.104146i
$236$	2.58977	+	3.76884i	0.168580	+	0.245330i
$237$	0.0904189	+	0.187757i	0.00587334	+	0.0121961i
$238$	−3.52953	−	8.83585i	−0.228785	−	0.572743i
$239$	2.11319	−	4.38808i	0.136691	−	0.283841i	−0.821376	−	0.570388i	$-0.806793\pi$
$239$	2.11319	−	4.38808i	0.136691	−	0.283841i	0.958066	+	0.286546i	$0.0925072\pi$
$240$	4.68446	−	1.87813i	0.302381	−	0.121233i
$241$	3.05055	+	9.88965i	0.196503	+	0.637048i	0.999174	+	0.0406262i	$0.0129353\pi$
$241$	3.05055	+	9.88965i	0.196503	+	0.637048i	−0.802671	+	0.596422i	$0.796589\pi$
$242$	−3.94384	+	7.49522i	−0.253520	+	0.481811i
$243$	8.26545	−	1.24582i	0.530229	−	0.0799192i
$244$	−3.71054	−	15.9875i	−0.237543	−	1.02349i
$245$	6.27667	+	26.4702i	0.401001	+	1.69112i
$246$	0.325191	−	0.0372419i	0.0207334	−	0.00237446i
$247$	−3.54596	−	23.5259i	−0.225624	−	1.49692i
$248$	−2.32907	+	8.88673i	−0.147896	+	0.564308i
$249$	−1.69655	+	0.523316i	−0.107514	+	0.0331638i
$250$	−1.09997	−	28.0270i	−0.0695681	−	1.77258i
$251$	−9.65234	−	4.64832i	−0.609250	−	0.293400i	0.103706	−	0.994608i	$-0.466930\pi$
$251$	−9.65234	−	4.64832i	−0.609250	−	0.293400i	−0.712956	+	0.701208i	$0.752644\pi$
$252$	−14.7632	+	4.08050i	−0.929995	+	0.257047i
$253$	−10.6669	+	5.13692i	−0.670623	+	0.322955i
$254$	−1.33467	−	2.51420i	−0.0837449	−	0.157755i
$255$	0.239770	+	3.19951i	0.0150150	+	0.200361i
$256$	−8.20163	−	13.7380i	−0.512602	−	0.858627i
$257$	4.13570	−	13.4076i	0.257978	−	0.836344i	−0.730227	−	0.683205i	$-0.760586\pi$
$257$	4.13570	−	13.4076i	0.257978	−	0.836344i	0.988205	−	0.153139i	$-0.0489382\pi$
$258$	2.71629	+	2.70639i	0.169109	+	0.168492i
$259$	5.61005	−	4.17702i	0.348592	−	0.259547i
$260$	−14.9041	+	31.2402i	−0.924316	+	1.93744i
$261$	−10.3881	+	7.08247i	−0.643006	+	0.438394i
$262$	−23.6124	−	20.2452i	−1.45878	−	1.25075i
$263$	−19.5773	+	11.3029i	−1.20719	+	0.696970i	−0.962144	−	0.272543i	$-0.912135\pi$
$263$	−19.5773	+	11.3029i	−1.20719	+	0.696970i	−0.245043	+	0.969512i	$0.578802\pi$
$264$	−0.683272	+	3.72274i	−0.0420525	+	0.229119i
$265$	4.73816	−	1.08146i	0.291063	−	0.0664333i
$266$	15.5532	−	12.5577i	0.953629	−	0.769960i
$267$	1.25291	+	0.285969i	0.0766770	+	0.0175010i
$268$	10.9370	−	19.1043i	0.668083	−	1.16698i
$269$	−1.38742	+	9.20491i	−0.0845923	+	0.561233i	0.905881	+	0.423531i	$0.139210\pi$
$269$	−1.38742	+	9.20491i	−0.0845923	+	0.561233i	−0.990474	+	0.137702i	$0.956028\pi$
$270$	10.5114	+	0.374084i	0.639706	+	0.0227660i
$271$	5.65946	+	5.25121i	0.343788	+	0.318988i	0.833102	−	0.553119i	$-0.186563\pi$
$271$	5.65946	+	5.25121i	0.343788	+	0.318988i	−0.489315	+	0.872107i	$0.662753\pi$
$272$	9.89983	−	2.33580i	0.600265	−	0.141629i
$273$	−2.02148	+	3.24745i	−0.122346	+	0.196545i
$274$	3.20673	−	1.12866i	0.193726	−	0.0681850i
$275$	36.0645	+	20.8218i	2.17477	+	1.25560i
$276$	−1.36259	+	1.27359i	−0.0820183	+	0.0766614i
$277$	15.8183	−	14.6773i	0.950431	−	0.881871i	−0.0426750	−	0.999089i	$-0.513588\pi$
$277$	15.8183	−	14.6773i	0.950431	−	0.881871i	0.993106	+	0.117218i	$0.0373975\pi$
$278$	17.0785	+	19.7724i	1.02430	+	1.18587i
$279$	−5.86192	+	7.35061i	−0.350944	+	0.440070i
$280$	−28.9787	+	2.45429i	−1.73181	+	0.146672i
$281$	−3.70478	−	4.64564i	−0.221008	−	0.277136i	0.658950	−	0.752187i	$-0.271001\pi$
$281$	−3.70478	−	4.64564i	−0.221008	−	0.277136i	−0.879958	+	0.475051i	$0.842430\pi$
$282$	0.464712	−	2.48086i	0.0276732	−	0.147733i
$283$	−4.98617	+	12.7045i	−0.296397	+	0.755207i	0.702649	+	0.711537i	$0.252000\pi$
$283$	−4.98617	+	12.7045i	−0.296397	+	0.755207i	−0.999046	+	0.0436705i	$0.986095\pi$
$284$	−20.3039	+	6.34425i	−1.20482	+	0.376462i
$285$	−6.27489	+	2.46271i	−0.371692	+	0.145879i
$286$	−13.8507	−	21.9541i	−0.819008	−	1.29817i
$287$	−1.85471	−	0.342845i	−0.109480	−	0.0202375i
$288$	−1.98187	−	16.2539i	−0.116783	−	0.957771i
$289$	0.787176	−	10.5041i	0.0463045	−	0.617890i
$290$	−21.8630	+	9.58629i	−1.28384	+	0.562926i
$291$	−0.160143	+	0.234886i	−0.00938773	+	0.0137693i
$292$	3.97187	+	10.0124i	0.232436	+	0.585934i
$293$			19.8296i			1.15846i	0.815165	+	0.579229i	$0.196646\pi$
$293$			19.8296i			1.15846i	−0.815165	+	0.579229i	$0.803354\pi$
$294$	−3.21280	−	0.0872506i	−0.187374	−	0.00508856i
$295$			8.88577i			0.517350i
$296$	3.53004	+	6.59147i	0.205179	+	0.383122i
$297$	−4.44346	+	6.51736i	−0.257836	+	0.378176i
$298$	4.84852	+	11.0578i	0.280867	+	0.640560i
$299$	0.955916	−	12.7558i	0.0552820	−	0.737687i
$300$	6.40117	+	1.43644i	0.369572	+	0.0829330i
$301$	−10.4067	−	19.4913i	−0.599832	−	1.12346i
$302$	−23.9602	+	15.1163i	−1.37876	+	0.869847i
$303$	−5.95884	+	2.33867i	−0.342327	+	0.134353i
$304$	10.8200	+	18.4285i	0.620570	+	1.05695i
$305$	11.6514	−	29.6873i	0.667158	−	1.69989i
$306$	10.2317	+	1.91658i	0.584905	+	0.109564i
$307$	9.29987	+	11.6617i	0.530772	+	0.665566i	0.972857	−	0.231406i	$-0.0743327\pi$
$307$	9.29987	+	11.6617i	0.530772	+	0.665566i	−0.442086	+	0.896973i	$0.645761\pi$
$308$	10.0393	−	19.3623i	0.572041	−	1.10327i
$309$	−0.344606	+	0.432123i	−0.0196040	+	0.0245826i
$310$	−13.5096	+	11.6690i	−0.767296	+	0.662755i
$311$	−2.97843	+	2.76358i	−0.168891	+	0.156708i	−0.760090	−	0.649817i	$-0.774845\pi$
$311$	−2.97843	+	2.76358i	−0.168891	+	0.156708i	0.591199	+	0.806526i	$0.298655\pi$
$312$	−3.11417	−	2.65039i	−0.176305	−	0.150049i
$313$	−18.4863	−	10.6731i	−1.04491	−	0.603278i	−0.123688	−	0.992321i	$-0.539472\pi$
$313$	−18.4863	−	10.6731i	−1.04491	−	0.603278i	−0.921219	+	0.389043i	$0.872806\pi$
$314$	2.43014	+	6.90446i	0.137141	+	0.389641i
$315$	−28.1338	−	9.71164i	−1.58516	−	0.547189i
$316$	1.28375	−	0.00468998i	0.0722169	−	0.000263832i
$317$	−8.74605	−	8.11514i	−0.491227	−	0.455792i	0.395244	−	0.918576i	$-0.370660\pi$
$317$	−8.74605	−	8.11514i	−0.491227	−	0.455792i	−0.886471	+	0.462784i	$0.846850\pi$
$318$	−0.0204211	+	0.573814i	−0.00114516	+	0.0321779i
$319$	2.66829	−	17.7029i	0.149396	−	0.991175i
$320$	1.98346	−	31.0271i	0.110879	−	1.73447i
$321$	3.19092	+	0.728307i	0.178100	+	0.0406501i
$322$	9.65492	−	4.72159i	0.538048	−	0.263124i
$323$	−13.2450	+	3.02308i	−0.736971	+	0.168209i
$324$	4.69658	−	15.4258i	0.260921	−	0.856989i
$325$	−38.9650	+	22.4964i	−2.16139	+	1.24788i
$326$	−13.9163	+	16.2309i	−0.770750	+	0.898944i
$327$	4.60621	−	3.14046i	0.254724	−	0.173668i
$328$	0.655521	−	1.90683i	0.0361951	−	0.105287i
$329$	−6.74190	+	12.8874i	−0.371693	+	0.710504i
$330$	−5.19105	+	5.21005i	−0.285758	+	0.286804i
$331$	4.75886	−	15.4278i	0.261570	−	0.847990i	−0.725572	−	0.688146i	$-0.758425\pi$
$331$	4.75886	−	15.4278i	0.261570	−	0.847990i	0.987142	−	0.159844i	$-0.0510991\pi$
$332$	−1.59057	+	10.8208i	−0.0872937	+	0.593869i
$333$	0.571845	+	7.63074i	0.0313369	+	0.418162i
$334$	−17.5992	+	9.34261i	−0.962984	+	0.511205i
$335$	38.5394	−	18.5596i	2.10563	−	1.01402i
$336$	0.599846	−	3.38313i	0.0327243	−	0.184565i
$337$	26.6951	+	12.8557i	1.45417	+	0.700293i	0.983314	−	0.181916i	$-0.0582298\pi$
$337$	26.6951	+	12.8557i	1.45417	+	0.700293i	0.470859	+	0.882209i	$0.343944\pi$
$338$	9.65362	−	0.378873i	0.525088	−	0.0206080i
$339$	1.38373	−	0.426825i	0.0751540	−	0.0231819i
$340$	18.4251	+	7.15374i	0.999240	+	0.387966i
$341$	−1.99532	−	13.2381i	−0.108053	−	0.716884i
$342$	2.48836	+	21.7280i	0.134555	+	1.17492i
$343$	17.5568	+	5.89551i	0.947981	+	0.318328i
$344$	22.2524	−	7.92360i	1.19977	−	0.427212i
$345$	−3.58375	+	0.540163i	−0.192942	+	0.0290814i
$346$	−9.81818	−	5.16614i	−0.527828	−	0.277733i
$347$	−4.42306	−	14.3392i	−0.237443	−	0.769770i	−0.993354	−	0.115096i	$-0.963282\pi$
$347$	−4.42306	−	14.3392i	−0.237443	−	0.769770i	0.755912	−	0.654673i	$-0.227194\pi$
$348$	−0.430537	−	2.78729i	−0.0230792	−	0.149415i
$349$	−5.26829	+	10.9397i	−0.282005	+	0.585590i	−0.993068	−	0.117538i	$-0.962500\pi$
$349$	−5.26829	+	10.9397i	−0.282005	+	0.585590i	0.711063	+	0.703128i	$0.248214\pi$
$350$	−32.8523	−	18.7037i	−1.75603	−	0.999754i
$351$	−3.69773	−	7.67841i	−0.197370	−	0.409843i
$352$	18.8858	+	13.6737i	1.00662	+	0.728810i
$353$	20.0511	−	1.50262i	1.06721	−	0.0799766i	0.470476	−	0.882413i	$-0.344082\pi$
$353$	20.0511	−	1.50262i	1.06721	−	0.0799766i	0.596738	+	0.802436i	$0.296463\pi$
$354$	−1.01452	−	0.269854i	−0.0539210	−	0.0143426i
$355$	−39.4984	−	12.1836i	−2.09636	−	0.646641i
$356$	4.91338	−	6.20757i	0.260408	−	0.329000i
$357$	1.93545	+	1.01251i	0.102435	+	0.0535878i
$358$	8.20825	−	13.1165i	0.433820	−	0.693228i
$359$	−12.7045	−	18.6341i	−0.670519	−	0.983471i	−0.999238	−	0.0390429i	$-0.987569\pi$
$359$	−12.7045	−	18.6341i	−0.670519	−	0.983471i	0.328718	−	0.944428i	$-0.393383\pi$
$360$	14.7131	−	28.2116i	0.775447	−	1.48688i
$361$	−4.77134	−	8.26421i	−0.251123	−	0.434958i
$362$	0.852371	−	1.96343i	0.0447996	−	0.103196i
$363$	−0.432657	−	1.89559i	−0.0227086	−	0.0994929i
$364$	12.6935	+	19.8533i	0.665322	+	1.04060i
$365$	−4.65751	+	20.4059i	−0.243785	+	1.06809i
$366$	3.03565	+	2.23186i	0.158676	+	0.116661i
$367$	−9.73509	−	1.46733i	−0.508168	−	0.0765939i	−0.110046	−	0.993927i	$-0.535100\pi$
$367$	−9.73509	−	1.46733i	−0.508168	−	0.0765939i	−0.398122	+	0.917333i	$0.630338\pi$
$368$	3.46677	+	10.9542i	0.180718	+	0.571026i
$369$	1.40355	−	1.51267i	0.0730661	−	0.0787466i
$370$	−1.60040	+	14.4410i	−0.0832007	+	0.750750i
$371$	1.07961	−	3.12754i	0.0560507	−	0.162374i
$372$	−0.922011	−	1.89682i	−0.0478040	−	0.0983454i
$373$	4.03501	−	6.98884i	0.208925	−	0.361868i	−0.742451	−	0.669900i	$-0.766337\pi$
$373$	4.03501	−	6.98884i	0.208925	−	0.361868i	0.951376	+	0.308032i	$0.0996703\pi$
$374$	−11.9102	+	8.82381i	−0.615864	+	0.456268i
$375$	4.37972	+	4.72021i	0.226168	+	0.243751i
$376$	−12.5607	−	9.16435i	−0.647771	−	0.472615i
$377$	15.1228	+	12.0600i	0.778863	+	0.621122i
$378$	3.99791	−	5.94060i	0.205630	−	0.305552i
$379$	26.5911	−	21.2057i	1.36589	−	1.08926i	0.379442	−	0.925215i	$-0.376116\pi$
$379$	26.5911	−	21.2057i	1.36589	−	1.08926i	0.986452	−	0.164049i	$-0.0524555\pi$
$380$	−2.95190	+	41.4204i	−0.151429	+	2.12482i
$381$	0.608299	+	0.238740i	0.0311641	+	0.0122310i
$382$	−1.12492	−	5.88647i	−0.0575560	−	0.301178i
$383$	−5.62801	−	14.3399i	−0.287578	−	0.732736i	−0.999534	−	0.0305127i	$-0.990286\pi$
$383$	−5.62801	−	14.3399i	−0.287578	−	0.732736i	0.711957	−	0.702223i	$-0.247809\pi$
$384$	3.48223	+	1.16873i	0.177702	+	0.0596414i
$385$	37.3857	−	19.9608i	1.90535	−	1.01730i
$386$	−8.27452	+	23.7865i	−0.421162	+	1.21070i
$387$	24.1060	+	1.80650i	1.22538	+	0.0918294i
$388$	0.881166	+	1.51343i	0.0447344	+	0.0768327i
$389$	−0.997661	−	0.680194i	−0.0505834	−	0.0344872i	0.537764	−	0.843095i	$-0.319269\pi$
$389$	−0.997661	−	0.680194i	−0.0505834	−	0.0344872i	−0.588348	+	0.808608i	$0.700221\pi$
$390$	−2.07065	−	7.67167i	−0.104851	−	0.388470i
$391$	−7.30431			−0.369395
$392$	−9.00720	+	17.6315i	−0.454932	+	0.890526i
$393$	7.14038			0.360185
$394$	6.59401	+	24.4306i	0.332202	+	1.23080i
$395$	2.06109	+	1.40523i	0.103705	+	0.0707048i
$396$	12.0062	+	20.6210i	0.603335	+	1.03625i
$397$	11.4648	+	0.859165i	0.575400	+	0.0431202i	0.359252	−	0.933241i	$-0.383032\pi$
$397$	11.4648	+	0.859165i	0.575400	+	0.0431202i	0.216147	+	0.976361i	$0.430651\pi$
$398$	0.768848	−	2.21018i	0.0385389	−	0.110787i
$399$	−0.834169	+	4.51265i	−0.0417607	+	0.225915i
$400$	24.9659	−	31.7799i	1.24830	−	1.58899i
$401$	7.15431	+	18.2289i	0.357269	+	0.910308i	0.990645	+	0.136463i	$0.0435735\pi$
$401$	7.15431	+	18.2289i	0.357269	+	0.910308i	−0.633376	+	0.773844i	$0.718331\pi$
$402$	0.948598	+	4.96380i	0.0473117	+	0.247572i
$403$	13.4645	+	5.28442i	0.670714	+	0.263236i
$404$	−2.80322	+	39.3342i	−0.139466	+	1.95695i
$405$	24.4973	−	19.5359i	1.21728	−	0.970749i
$406$	−2.32515	+	16.0848i	−0.115395	+	0.798274i
$407$	−8.51902	−	6.79369i	−0.422272	−	0.336751i
$408$	−1.37632	+	1.88640i	−0.0681379	+	0.0933905i
$409$	−23.0765	−	24.8706i	−1.14106	−	1.22977i	−0.969630	−	0.244575i	$-0.921352\pi$
$409$	−23.0765	−	24.8706i	−1.14106	−	1.22977i	−0.171430	−	0.985196i	$-0.554839\pi$
$410$	3.14823	−	2.33240i	0.155480	−	0.115189i
$411$	−0.390219	+	0.675879i	−0.0192481	+	0.0333386i
$412$	1.48849	+	3.06221i	0.0733326	+	0.150864i
$413$	5.13562	+	3.19684i	0.252707	+	0.157306i
$414$	−1.29518	+	11.6869i	−0.0636548	+	0.574380i
$415$	−14.4553	+	15.5791i	−0.709584	+	0.764750i
$416$	−22.9965	+	10.2843i	−1.12750	+	0.504228i
$417$	−5.93100	−	0.893955i	−0.290443	−	0.0437772i
$418$	−25.0904	−	18.4468i	−1.22721	−	0.902265i
$419$	7.06788	−	30.9664i	0.345289	−	1.51281i	−0.442447	−	0.896795i	$-0.645889\pi$
$419$	7.06788	−	30.9664i	0.345289	−	1.51281i	0.787735	−	0.616014i	$-0.211253\pi$
$420$	4.68370	−	4.75796i	0.228541	−	0.232165i
$421$	2.41292	+	10.5717i	0.117599	+	0.515233i	0.999075	+	0.0430046i	$0.0136930\pi$
$421$	2.41292	+	10.5717i	0.117599	+	0.515233i	−0.881476	+	0.472228i	$0.843450\pi$
$422$	11.9465	−	27.5187i	0.581545	−	1.33959i
$423$	−7.95615	−	13.7805i	−0.386841	−	0.670029i
$424$	3.13620	+	1.63561i	0.152307	+	0.0794321i
$425$	14.4729	+	21.2278i	0.702036	+	1.02970i
$426$	2.59058	−	4.13965i	0.125514	−	0.200567i
$427$	−12.9663	−	17.4147i	−0.627481	−	0.842755i
$428$	12.5134	−	15.8094i	0.604858	−	0.764179i
$429$	5.69446	+	1.75651i	0.274931	+	0.0848051i
$430$	44.3570	+	11.7986i	2.13908	+	0.568980i
$431$	6.63659	−	0.497344i	0.319673	−	0.0239562i	0.0860727	−	0.996289i	$-0.472568\pi$
$431$	6.63659	−	0.497344i	0.319673	−	0.0239562i	0.233601	+	0.972333i	$0.424949\pi$
$432$	5.64940	+	5.16558i	0.271807	+	0.248529i
$433$	−9.68921	−	20.1198i	−0.465634	−	0.966898i	−0.993094	−	0.117319i	$-0.962570\pi$
$433$	−9.68921	−	20.1198i	−0.465634	−	0.966898i	0.527461	−	0.849579i	$-0.323144\pi$
$434$	1.88385	+	12.0062i	0.0904277	+	0.576315i
$435$	2.37784	−	4.93764i	0.114009	−	0.236742i
$436$	−5.24258	−	33.9404i	−0.251074	−	1.62545i
$437$	−4.52331	−	14.6642i	−0.216379	−	0.701484i
$438$	−2.18836	−	1.15147i	−0.104564	−	0.0550195i
$439$	26.4226	−	3.98257i	1.26108	−	0.190078i	0.515733	−	0.856750i	$-0.327520\pi$
$439$	26.4226	−	3.98257i	1.26108	−	0.190078i	0.745352	+	0.666672i	$0.232282\pi$
$440$	15.1980	+	42.6817i	0.724538	+	2.03477i
$441$	−15.7346	+	12.7662i	−0.749268	+	0.607916i
$442$	−1.82216	−	15.9109i	−0.0866715	−	0.756803i
$443$	0.695872	+	4.61681i	0.0330619	+	0.219351i	0.999261	−	0.0384471i	$-0.0122411\pi$
$443$	0.695872	+	4.61681i	0.0330619	+	0.219351i	−0.966199	+	0.257798i	$0.917003\pi$
$444$	−1.60017	−	0.621283i	−0.0759406	−	0.0294848i
$445$	14.7000	−	4.53436i	0.696849	−	0.214949i
$446$	−16.5680	+	0.650241i	−0.784519	+	0.0307898i
$447$	−2.49734	−	1.20266i	−0.118120	−	0.0568838i
$448$	−17.2188	−	12.3090i	−0.813514	−	0.581546i
$449$	4.65862	−	2.24347i	0.219854	−	0.105876i	−0.320715	−	0.947176i	$-0.603923\pi$
$449$	4.65862	−	2.24347i	0.219854	−	0.105876i	0.540569	+	0.841300i	$0.318209\pi$
$450$	36.5308	−	19.3925i	1.72208	−	0.914172i
$451$	0.219583	+	2.93014i	0.0103398	+	0.137975i
$452$	1.29729	−	8.82562i	0.0610194	−	0.415122i
$453$	1.91702	−	6.21481i	0.0900692	−	0.291997i
$454$	−12.7863	+	12.8331i	−0.600089	+	0.602285i
$455$	−1.51940	+	45.7640i	−0.0712304	+	2.14545i
$456$	−4.63945	−	1.59493i	−0.217262	−	0.0746896i
$457$	−28.4255	+	19.3802i	−1.32969	+	0.906567i	−0.999305	−	0.0372792i	$-0.988131\pi$
$457$	−28.4255	+	19.3802i	−1.32969	+	0.906567i	−0.330385	+	0.943846i	$0.607179\pi$
$458$	10.8269	−	12.6277i	0.505910	−	0.590054i
$459$	−4.21451	+	2.43325i	−0.196716	+	0.113574i
$460$	−6.50278	+	21.3582i	−0.303193	+	0.995831i
$461$	21.8741	−	4.99262i	1.01878	−	0.232530i	0.319658	−	0.947533i	$-0.396432\pi$
$461$	21.8741	−	4.99262i	1.01878	−	0.232530i	0.699121	+	0.715003i	$0.253575\pi$
$462$	1.14361	+	4.87464i	0.0532057	+	0.226789i
$463$	−22.3123	−	5.09263i	−1.03694	−	0.236675i	−0.330024	−	0.943973i	$-0.607057\pi$
$463$	−22.3123	−	5.09263i	−1.03694	−	0.236675i	−0.706916	+	0.707298i	$0.749914\pi$
$464$	−16.6392	−	4.99966i	−0.772454	−	0.232103i
$465$	0.610801	−	4.05240i	0.0283252	−	0.187926i
$466$	0.0242091	−	0.680254i	0.00112146	−	0.0315121i
$467$	6.44089	+	5.97628i	0.298049	+	0.276549i	0.814994	−	0.579470i	$-0.196740\pi$
$467$	6.44089	+	5.97628i	0.298049	+	0.276549i	−0.516945	+	0.856019i	$0.672931\pi$
$468$	−25.7805	+	0.0941848i	−1.19170	+	0.00435369i
$469$	3.13863	−	28.9514i	0.144928	−	1.33685i
$470$	−10.0309	−	28.4995i	−0.462690	−	1.31458i
$471$	−1.45524	−	0.840186i	−0.0670541	−	0.0387137i
$472$	−4.19142	+	4.92485i	−0.192926	+	0.226684i
$473$	−25.2331	+	23.4129i	−1.16022	+	1.07653i
$474$	−0.223033	+	0.192646i	−0.0102443	+	0.00884852i
$475$	−33.6546	+	42.2015i	−1.54418	+	1.93634i
$476$	10.7634	−	8.07525i	0.493338	−	0.370128i
$477$	2.25693	+	2.83010i	0.103338	+	0.129581i
$478$	6.77004	+	1.26816i	0.309654	+	0.0580041i
$479$	3.42015	−	8.71439i	0.156270	−	0.398171i	−0.831200	−	0.555973i	$-0.812346\pi$
$479$	3.42015	−	8.71439i	0.156270	−	0.398171i	0.987471	+	0.157803i	$0.0504410\pi$
$480$	4.29063	+	5.70383i	0.195840	+	0.260343i
$481$	10.9588	−	4.30100i	0.499677	−	0.196109i
$482$	−12.3787	+	7.80962i	−0.563834	+	0.355718i
$483$	−0.977133	+	2.26560i	−0.0444611	+	0.103088i
$484$	−11.6870	−	2.62260i	−0.531228	−	0.119209i
$485$	−0.254304	+	3.39346i	−0.0115474	+	0.154089i
$486$	4.74697	+	10.8262i	0.215327	+	0.491085i
$487$	0.535512	−	0.785452i	0.0242664	−	0.0355922i	−0.813914	−	0.580985i	$-0.802667\pi$
$487$	0.535512	−	0.785452i	0.0242664	−	0.0355922i	0.838180	+	0.545393i	$0.183620\pi$
$488$	20.4612	−	10.9579i	0.926235	−	0.496042i
$489$		−	4.90821i		−	0.221957i
$490$	−33.8281	+	18.3247i	−1.52820	+	0.827824i
$491$			29.7979i			1.34476i	0.740207	+	0.672379i	$0.234728\pi$
$491$			29.7979i			1.34476i	−0.740207	+	0.672379i	$0.765272\pi$
$492$	0.170688	+	0.430277i	0.00769520	+	0.0193984i
$493$	6.22198	−	9.12597i	0.280224	−	0.411013i
$494$	30.8144	−	13.5113i	1.38641	−	0.607900i
$495$	−3.46499	+	46.2371i	−0.155740	+	2.07820i
$496$	−12.9918	+	0.0949283i	−0.583351	+	0.00426241i
$497$	−21.2520	+	18.4452i	−0.953282	+	0.827379i
$498$	−1.33972	−	2.12354i	−0.0600344	−	0.0951579i
$499$	−2.91098	+	1.14248i	−0.130314	+	0.0511443i	−0.429602	−	0.903018i	$-0.641346\pi$
$499$	−2.91098	+	1.14248i	−0.130314	+	0.0511443i	0.299288	+	0.954163i	$0.403251\pi$
$500$	37.8615	−	11.8304i	1.69322	−	0.529070i
$501$	1.67116	−	4.25805i	0.0746619	−	0.190235i
$502$	2.78953	−	14.8919i	0.124503	−	0.664657i
$503$	24.6709	+	30.9363i	1.10002	+	1.37938i	0.918232	+	0.396043i	$0.129617\pi$
$503$	24.6709	+	30.9363i	1.10002	+	1.37938i	0.181788	+	0.983338i	$0.441812\pi$
$504$	−11.0119	−	18.6533i	−0.490508	−	0.830883i
$505$	−47.7757	+	59.9088i	−2.12599	+	2.66591i
$506$	−10.9447	−	12.6711i	−0.486551	−	0.563298i
$507$	−1.62583	+	1.50855i	−0.0722056	+	0.0669970i
$508$	2.94092	−	2.74884i	0.130482	−	0.121960i
$509$	−0.968742	−	0.559303i	−0.0429387	−	0.0247907i	0.478377	−	0.878155i	$-0.341225\pi$
$509$	−0.968742	−	0.559303i	−0.0429387	−	0.0247907i	−0.521316	+	0.853364i	$0.674559\pi$
$510$	−4.28011	+	1.50646i	−0.189526	+	0.0667070i
$511$	10.1181	+	10.0333i	0.447600	+	0.443846i
$512$	15.7348	−	16.2609i	0.695387	−	0.718635i
$513$	−7.49492	−	6.95427i	−0.330909	−	0.307038i
$514$	19.8302	+	0.705724i	0.874674	+	0.0311281i
$515$	−0.986075	+	6.54218i	−0.0434517	+	0.288283i
$516$	−2.69417	+	4.70606i	−0.118604	+	0.207173i
$517$	22.0902	+	5.04194i	0.971525	+	0.221744i
$518$	7.77052	+	6.12040i	0.341417	+	0.268915i
$519$	2.48309	−	0.566748i	0.108995	−	0.0248775i
$520$	−48.1465	−	8.83680i	−2.11136	−	0.387519i
$521$	−19.5064	+	11.2620i	−0.854590	+	0.493398i	−0.862197	−	0.506573i	$-0.830912\pi$
$521$	−19.5064	+	11.2620i	−0.854590	+	0.493398i	0.00760678	+	0.999971i	$0.497579\pi$
$522$	−13.4983	−	11.5734i	−0.590805	−	0.506553i
$523$	−3.00331	+	2.04762i	−0.131326	+	0.0895364i	−0.627201	−	0.778857i	$-0.715800\pi$
$523$	−3.00331	+	2.04762i	−0.131326	+	0.0895364i	0.495875	+	0.868394i	$0.334847\pi$
$524$	18.9402	−	39.7000i	0.827405	−	1.73430i
$525$	8.52038	−	1.64934i	0.371860	−	0.0719831i
$526$	−22.6472	−	22.5646i	−0.987463	−	0.983862i
$527$	2.43453	−	7.89256i	0.106050	−	0.343805i
$528$	−5.33466	+	0.438997i	−0.232161	+	0.0191049i
$529$	1.10221	+	14.7080i	0.0479222	+	0.639478i
$530$	3.22268	+	6.07074i	0.139984	+	0.263696i
$531$	−5.96287	+	2.87157i	−0.258767	+	0.124615i
$532$	22.8773	+	16.6079i	0.991858	+	0.720044i
$533$	−2.86028	−	1.37744i	−0.123893	−	0.0596635i
$534$	0.0712742	+	1.81606i	0.00308434	+	0.0785884i
$535$	37.4381	−	11.5481i	1.61859	−	0.499269i
$536$	30.1146	+	7.89257i	1.30075	+	0.340907i
$537$	0.529423	+	3.51249i	0.0228463	+	0.151575i
$538$	−13.0793	+	1.49788i	−0.563887	+	0.0645781i
$539$	1.91372	−	28.7887i	0.0824299	−	1.24002i
$540$	3.36292	+	14.4897i	0.144717	+	0.623537i
$541$	18.6244	−	2.80717i	0.800723	−	0.120690i	0.264082	−	0.964500i	$-0.414931\pi$
$541$	18.6244	−	2.80717i	0.800723	−	0.120690i	0.536641	+	0.843811i	$0.319693\pi$
$542$	−5.08414	+	9.66235i	−0.218383	+	0.415033i
$543$	0.144839	+	0.469557i	0.00621564	+	0.0201506i
$544$	6.83748	+	12.6560i	0.293155	+	0.542621i
$545$	28.9546	−	60.1249i	1.24028	−	2.57547i
$546$	−5.17887	−	1.56329i	−0.221635	−	0.0669026i
$547$	−9.25147	−	19.2109i	−0.395564	−	0.821397i	−0.999699	−	0.0245157i	$-0.992196\pi$
$547$	−9.25147	−	19.2109i	−0.395564	−	0.821397i	0.604135	−	0.796882i	$-0.293519\pi$
$548$	2.72277	+	3.96239i	0.116311	+	0.169265i
$549$	23.6873	−	1.77511i	1.01095	−	0.0757601i
$550$	−15.1387	+	56.9140i	−0.645516	+	2.42682i
$551$	22.1745	+	6.83992i	0.944664	+	0.291390i
$552$	−2.24105	−	1.39107i	−0.0953854	−	0.0592080i
$553$	1.55369	−	0.685670i	0.0660695	−	0.0291576i
$554$	25.8690	+	16.1888i	1.09907	+	0.687794i
$555$	−1.87896	−	2.75593i	−0.0797575	−	0.116983i
$556$	−20.7026	+	30.6047i	−0.877985	+	1.29793i
$557$	−12.0915	−	20.9431i	−0.512334	−	0.887389i	−0.999898	−	0.0143011i	$-0.995448\pi$
$557$	−12.0915	−	20.9431i	−0.512334	−	0.887389i	0.487564	−	0.873087i	$-0.337886\pi$
$558$	−12.1964	−	5.29475i	−0.516316	−	0.224144i
$559$	−8.27564	−	36.2579i	−0.350022	−	1.53355i
$560$	−14.0302	−	38.6618i	−0.592885	−	1.63376i
$561$	0.757208	−	3.31754i	0.0319693	−	0.140067i
$562$	4.97766	−	6.77034i	0.209970	−	0.285590i
$563$	−15.1246	−	2.27967i	−0.637426	−	0.0960765i	−0.177624	−	0.984098i	$-0.556841\pi$
$563$	−15.1246	−	2.27967i	−0.637426	−	0.0960765i	−0.459801	+	0.888022i	$0.652079\pi$
$564$	3.55851	−	0.279750i	0.149840	−	0.0117796i
$565$	11.7900	−	12.7066i	0.496009	−	0.534570i
$566$	−19.1837	−	2.12601i	−0.806352	−	0.0893627i
$567$	−2.47759	−	21.1869i	−0.104049	−	0.889766i
$568$	−16.1446	−	25.3840i	−0.677410	−	1.06509i
$569$	−13.2353	+	22.9243i	−0.554854	+	0.961035i	0.443061	+	0.896491i	$0.353892\pi$
$569$	−13.2353	+	22.9243i	−0.554854	+	0.961035i	−0.997915	+	0.0645433i	$0.979441\pi$
$570$	−5.67490	−	7.65989i	−0.237695	−	0.320838i
$571$	13.1045	+	14.1233i	0.548405	+	0.591040i	0.945047	−	0.326933i	$-0.106015\pi$
$571$	13.1045	+	14.1233i	0.548405	+	0.591040i	−0.396643	+	0.917973i	$0.629825\pi$
$572$	24.8709	−	27.0016i	1.03990	−	1.12899i
$573$	1.07565	+	0.857805i	0.0449361	+	0.0358353i
$574$	−0.215391	−	2.65868i	−0.00899026	−	0.110971i
$575$	−22.6896	+	18.0944i	−0.946224	+	0.754588i
$576$	21.4620	−	8.69585i	0.894250	−	0.362327i
$577$	−29.3848	−	11.5327i	−1.22331	−	0.480112i	−0.336249	−	0.941773i	$-0.609158\pi$
$577$	−29.3848	−	11.5327i	−1.22331	−	0.480112i	−0.887056	+	0.461661i	$0.847254\pi$
$578$	14.6320	−	2.79621i	0.608609	−	0.116307i
$579$	−2.11227	−	5.38198i	−0.0877830	−	0.223667i
$580$	−21.1456	−	26.3180i	−0.878024	−	1.09279i
$581$	3.80352	+	13.9595i	0.157797	+	0.579138i
$582$	−0.379719	−	0.132091i	−0.0157398	−	0.00547536i
$583$	−5.14003	−	0.385192i	−0.212878	−	0.0159530i
$584$	−12.2068	+	9.11279i	−0.505122	+	0.377090i
$585$	−41.3911	−	28.2200i	−1.71131	−	1.16675i
$586$	−27.0745	+	7.30761i	−1.11844	+	0.301875i
$587$	−16.3797			−0.676063			−0.338032	−	0.941135i	$-0.609761\pi$
$587$	−16.3797			−0.676063			−0.338032	+	0.941135i	$0.609761\pi$
$588$	−1.06485	−	4.41876i	−0.0439138	−	0.182227i
$589$	17.3528			0.715010
$590$	−12.1322	+	3.27458i	−0.499476	+	0.134813i
$591$	−4.79982	−	3.27246i	−0.197438	−	0.134611i
$592$	−7.69881	+	7.24885i	−0.316419	+	0.297926i
$593$	−3.15154	−	0.236175i	−0.129418	−	0.00969856i	0.00986342	−	0.999951i	$-0.496860\pi$
$593$	−3.15154	−	0.236175i	−0.129418	−	0.00969856i	−0.139282	+	0.990253i	$0.544479\pi$
$594$	−10.5360	−	3.66512i	−0.432298	−	0.150382i
$595$	26.1241	−	1.08769i	1.07098	−	0.0445908i
$596$	−13.3110	+	10.6950i	−0.545240	+	0.438083i
$597$	0.196267	+	0.500080i	0.00803268	+	0.0204669i
$598$	17.7685	−	3.39561i	0.726607	−	0.138857i
$599$	−38.0901	−	14.9493i	−1.55632	−	0.610810i	−0.577656	−	0.816280i	$-0.696032\pi$
$599$	−38.0901	−	14.9493i	−1.55632	−	0.610810i	−0.978663	+	0.205470i	$0.934128\pi$
$600$	0.397707	+	9.26923i	0.0162363	+	0.378415i
$601$	−33.6475	+	26.8330i	−1.37251	+	1.09454i	−0.387535	+	0.921855i	$0.626673\pi$
$601$	−33.6475	+	26.8330i	−1.37251	+	1.09454i	−0.984977	+	0.172687i	$0.944755\pi$
$602$	22.7774	−	21.3918i	0.928339	−	0.871863i
$603$	24.9091	+	19.8644i	1.01438	+	0.808940i
$604$	−29.4690	−	27.1435i	−1.19908	−	1.10445i
$605$	−15.8306	−	17.0614i	−0.643607	−	0.693643i
$606$	−5.38907	−	7.27408i	−0.218916	−	0.295489i
$607$	−3.94993	+	6.84147i	−0.160323	+	0.277687i	−0.934984	−	0.354689i	$-0.884587\pi$
$607$	−3.94993	+	6.84147i	−0.160323	+	0.277687i	0.774662	+	0.632376i	$0.217920\pi$
$608$	−21.1741	+	21.5644i	−0.858722	+	0.874553i
$609$	−1.99828	−	3.15071i	−0.0809745	−	0.127673i
$610$	44.8275	+	4.96794i	1.81501	+	0.201146i
$611$	−16.6510	+	17.9455i	−0.673628	+	0.725999i
$612$	1.15376	+	14.6761i	0.0466378	+	0.593247i
$613$	−26.0598	−	3.92788i	−1.05255	−	0.158646i	−0.400092	−	0.916475i	$-0.631022\pi$
$613$	−26.0598	−	3.92788i	−1.05255	−	0.158646i	−0.652453	+	0.757829i	$0.726260\pi$
$614$	−12.4951	+	16.9952i	−0.504262	+	0.685869i
$615$	−0.200153	+	0.876926i	−0.00807093	+	0.0353611i
$616$	30.1361	+	6.57177i	1.21422	+	0.264784i
$617$	−0.421650	−	1.84737i	−0.0169750	−	0.0743722i	0.965731	−	0.259545i	$-0.0835726\pi$
$617$	−0.421650	−	1.84737i	−0.0169750	−	0.0743722i	−0.982706	+	0.185173i	$0.940715\pi$
$618$	−0.716995	−	0.311264i	−0.0288418	−	0.0125209i
$619$	14.7636	+	25.5713i	0.593399	+	1.02780i	0.993771	+	0.111445i	$0.0355478\pi$
$619$	14.7636	+	25.5713i	0.593399	+	1.02780i	−0.400371	+	0.916353i	$0.631119\pi$
$620$	−20.9109	−	14.1452i	−0.839802	−	0.568084i
$621$	−3.09662	−	4.54190i	−0.124263	−	0.182260i
$622$	−4.87088	−	3.04818i	−0.195305	−	0.122221i
$623$	2.66796	−	10.1274i	0.106889	−	0.405744i
$624$	2.47109	−	5.22867i	0.0989229	−	0.209314i
$625$	25.3815	+	7.82916i	1.01526	+	0.313166i
$626$	7.75996	−	29.1736i	0.310150	−	1.16601i
$627$	7.12925	−	0.534263i	0.284715	−	0.0213364i
$628$	−8.53147	+	5.86243i	−0.340443	+	0.233936i
$629$	−2.91675	−	6.05670i	−0.116299	−	0.241497i
$630$	2.89197	−	41.9915i	0.115219	−	1.67298i
$631$	−15.9944	+	33.2127i	−0.636726	+	1.32218i	0.293770	+	0.955876i	$0.405090\pi$
$631$	−15.9944	+	33.2127i	−0.636726	+	1.32218i	−0.930497	+	0.366300i	$0.880624\pi$
$632$	0.479493	+	1.75105i	0.0190732	+	0.0696531i
$633$	2.03001	+	6.58112i	0.0806855	+	0.261576i
$634$	7.85696	−	14.9320i	0.312040	−	0.593027i
$635$	7.73491	−	1.16585i	0.306950	−	0.0462653i
$636$	−0.790985	+	0.183580i	−0.0313646	+	0.00727942i
$637$	25.9031	+	17.3427i	1.02632	+	0.687141i
$638$	25.1541	−	2.88073i	0.995861	−	0.114049i
$639$	−4.58855	−	30.4431i	−0.181520	−	1.20431i
$640$	43.0940	−	8.72599i	1.70344	−	0.344925i
$641$	−13.2806	+	4.09651i	−0.524551	+	0.161803i	−0.545711	−	0.837974i	$-0.683740\pi$
$641$	−13.2806	+	4.09651i	−0.524551	+	0.161803i	0.0211598	+	0.999776i	$0.493264\pi$
$642$	0.181521	+	4.62514i	0.00716408	+	0.182540i
$643$	−4.85605	−	2.33855i	−0.191504	−	0.0922234i	0.335675	−	0.941978i	$-0.391036\pi$
$643$	−4.85605	−	2.33855i	−0.191504	−	0.0922234i	−0.527178	+	0.849755i	$0.676750\pi$
$644$	10.0047	+	11.4424i	0.394239	+	0.450893i
$645$	−9.49362	+	4.57189i	−0.373811	+	0.180018i
$646$	−9.00862	−	16.9700i	−0.354440	−	0.667677i
$647$	−1.65938	−	22.1428i	−0.0652368	−	0.870525i	−0.929815	−	0.368027i	$-0.880033\pi$
$647$	−1.65938	−	22.1428i	−0.0652368	−	0.870525i	0.864578	−	0.502498i	$-0.167586\pi$
$648$	22.7925	+	0.727782i	0.895373	+	0.0285900i
$649$	2.77780	−	9.00541i	0.109038	−	0.353493i
$650$	−45.0750	−	44.9106i	−1.76799	−	1.76154i
$651$	−2.12238	−	1.81095i	−0.0831825	−	0.0709768i
$652$	−27.2893	−	13.0192i	−1.06873	−	0.509873i
$653$	−12.7808	+	8.71379i	−0.500151	+	0.340997i	−0.786974	−	0.616987i	$-0.788353\pi$
$653$	−12.7808	+	8.71379i	−0.500151	+	0.340997i	0.286823	+	0.957984i	$0.407401\pi$
$654$	5.98532	+	5.13178i	0.234045	+	0.200669i
$655$	74.0216	−	42.7364i	2.89226	−	1.66985i
$656$	2.84507	+	0.192315i	0.111081	+	0.00750863i
$657$	−15.1987	+	3.46900i	−0.592957	+	0.135338i
$658$	−20.0804	−	4.45583i	−0.782814	−	0.173706i
$659$	14.0581	+	3.20867i	0.547627	+	0.124992i	0.487378	−	0.873191i	$-0.337953\pi$
$659$	14.0581	+	3.20867i	0.547627	+	0.124992i	0.0602488	+	0.998183i	$0.480811\pi$
$660$	−9.02656	−	5.16761i	−0.351359	−	0.201149i
$661$	2.48853	−	16.5103i	0.0967924	−	0.642176i	−0.886852	−	0.462054i	$-0.847113\pi$
$661$	2.48853	−	16.5103i	0.0967924	−	0.642176i	0.983644	−	0.180122i	$-0.0576492\pi$
$662$	22.8182	+	0.812060i	0.886854	+	0.0315616i
$663$	2.69509	+	2.50068i	0.104669	+	0.0971184i
$664$	−15.3604	+	1.81600i	−0.596099	+	0.0704744i
$665$	18.3614	+	51.7735i	0.712026	+	2.00769i
$666$	−10.2079	+	3.59285i	−0.395549	+	0.139220i
$667$	10.8049	+	6.23820i	0.418367	+	0.241544i
$668$	−19.2416	−	20.5862i	−0.744481	−	0.796503i
$669$	2.79033	−	2.58905i	0.107880	−	0.100098i
$670$	39.5430	+	45.7804i	1.52768	+	1.76865i
$671$	−21.0889	+	26.4447i	−0.814129	+	1.02088i
$672$	4.84022	−	0.427747i	0.186716	−	0.0165007i
$673$	−7.14581	−	8.96056i	−0.275451	−	0.345404i	0.624793	−	0.780790i	$-0.285183\pi$
$673$	−7.14581	−	8.96056i	−0.275451	−	0.345404i	−0.900244	+	0.435386i	$0.856612\pi$
$674$	−7.71488	+	41.1858i	−0.297166	+	1.58642i
$675$	−7.06399	+	17.9988i	−0.271893	+	0.692773i
$676$	4.07485	+	13.0410i	0.156725	+	0.501577i
$677$	18.8112	−	7.38286i	0.722974	−	0.283746i	0.0248177	−	0.999692i	$-0.492099\pi$
$677$	18.8112	−	7.38286i	0.722974	−	0.283746i	0.698156	+	0.715946i	$0.254004\pi$
$678$	1.09270	+	1.73199i	0.0419649	+	0.0665167i
$679$	1.86979	+	1.36784i	0.0717560	+	0.0524930i
$680$	−2.97738	+	27.7930i	−0.114177	+	1.06581i
$681$	0.310788	−	4.14718i	0.0119094	−	0.158920i
$682$	17.3394	−	7.60284i	0.663960	−	0.291128i
$683$	−23.2071	+	34.0386i	−0.887997	+	1.30245i	0.0645048	+	0.997917i	$0.479453\pi$
$683$	−23.2071	+	34.0386i	−0.887997	+	1.30245i	−0.952501	+	0.304534i	$0.901499\pi$
$684$	−28.7495	+	11.4047i	−1.09926	+	0.436070i
$685$			9.34211i			0.356944i
$686$	−1.57942	+	26.1439i	−0.0603024	+	0.998180i
$687$			3.81862i			0.145689i
$688$	19.0190	+	27.4624i	0.725092	+	1.04700i
$689$	3.13713	−	4.60132i	0.119515	−	0.175296i
$690$	−2.05820	−	4.69402i	−0.0783542	−	0.178698i
$691$	−2.01090	+	26.8336i	−0.0764982	+	1.02080i	0.818435	+	0.574599i	$0.194842\pi$
$691$	−2.01090	+	26.8336i	−0.0764982	+	1.02080i	−0.894934	+	0.446199i	$0.852777\pi$
$692$	3.43541	−	15.3091i	0.130595	−	0.581965i
$693$	25.4766	+	18.6374i	0.967776	+	0.707975i
$694$	17.9481	−	11.3233i	0.681302	−	0.429828i
$695$	−66.8349	+	26.2308i	−2.53519	+	0.994990i
$696$	3.64698	−	1.61501i	0.138238	−	0.0612167i
$697$	−0.662297	+	1.68750i	−0.0250863	+	0.0639188i
$698$	−16.8781	−	3.16158i	−0.638844	−	0.119668i
$699$	0.0974296	+	0.122173i	0.00368513	+	0.00462100i
$700$	13.4305	−	51.7477i	0.507623	−	1.95588i
$701$	21.2533	−	26.6508i	0.802727	−	1.00659i	−0.196930	−	0.980417i	$-0.563097\pi$
$701$	21.2533	−	26.6508i	0.802727	−	1.00659i	0.999657	−	0.0261705i	$-0.00833128\pi$
$702$	9.12106	−	7.87835i	0.344252	−	0.297349i
$703$	10.3533	−	9.60642i	0.390480	−	0.362313i
$704$	−11.7096	+	30.8248i	−0.441323	+	1.16175i
$705$	6.00681	+	3.46803i	0.226229	+	0.130614i
$706$	9.44086	+	26.8232i	0.355311	+	1.00950i
$707$	17.4366	+	49.1658i	0.655772	+	1.84907i
$708$	−0.00542382	−	1.48462i	−0.000203839	−	0.0557955i
$709$	12.2108	+	11.3300i	0.458588	+	0.425507i	0.875336	−	0.483515i	$-0.160640\pi$
$709$	12.2108	+	11.3300i	0.458588	+	0.425507i	−0.416749	+	0.909022i	$0.636830\pi$
$710$	2.07904	−	58.4192i	0.0780249	−	2.19243i
$711$	−0.276919	+	1.83724i	−0.0103853	+	0.0689017i
$712$	10.2862	+	4.42089i	0.385492	+	0.165680i
$713$	9.09583	+	2.07606i	0.340642	+	0.0777492i
$714$	−0.669184	+	3.01571i	−0.0250436	+	0.112860i
$715$	69.5454	−	15.8733i	2.60085	−	0.593627i
$716$	20.9336	+	6.37349i	0.782324	+	0.238188i
$717$	−1.36939	+	0.790616i	−0.0511407	+	0.0295261i
$718$	20.7603	−	24.2132i	0.774767	−	0.903629i
$719$	−37.6255	+	25.6526i	−1.40320	+	0.956682i	−0.404076	+	0.914726i	$0.632407\pi$
$719$	−37.6255	+	25.6526i	−1.40320	+	0.956682i	−0.999119	+	0.0419567i	$0.986641\pi$
$720$	43.9410	+	9.69201i	1.63758	+	0.361200i
$721$	3.42636	+	2.92359i	0.127604	+	0.108880i
$722$	9.52524	−	9.56010i	0.354493	−	0.355790i
$723$	0.990397	−	3.21079i	0.0368332	−	0.119410i
$724$	2.99490	+	0.440224i	0.111305	+	0.0163608i
$725$	−3.27948	−	43.7616i	−0.121797	−	1.62526i
$726$	2.42871	−	1.28929i	0.0901381	−	0.0478502i
$727$	14.1422	−	6.81053i	0.524506	−	0.252589i	−0.152843	−	0.988250i	$-0.548843\pi$
$727$	14.1422	−	6.81053i	0.524506	−	0.252589i	0.677349	+	0.735662i	$0.263129\pi$
$728$	−22.4290	+	24.6475i	−0.831273	+	0.913497i
$729$	19.3471	+	9.31705i	0.716558	+	0.345076i
$730$	−29.5776	+	1.16082i	−1.09472	+	0.0429640i
$731$	−20.2932	+	6.25961i	−0.750569	+	0.231520i
$732$	−1.92858	+	4.96723i	−0.0712824	+	0.183594i
$733$	−7.02146	−	46.5843i	−0.259343	−	1.72063i	−0.617159	−	0.786839i	$-0.711716\pi$
$733$	−7.02146	−	46.5843i	−0.259343	−	1.72063i	0.357815	−	0.933792i	$-0.383522\pi$
$734$	−1.58415	−	13.8326i	−0.0584721	−	0.510570i
$735$	3.15738	−	8.24849i	0.116462	−	0.304250i
$736$	−13.6788	+	8.77020i	−0.504206	+	0.323274i
$737$	−44.8602	+	6.76159i	−1.65245	+	0.249067i
$738$	2.58257	+	1.35890i	0.0950658	+	0.0500218i
$739$	−1.26165	−	4.09018i	−0.0464107	−	0.150460i	0.929402	−	0.369070i	$-0.120324\pi$
$739$	−1.26165	−	4.09018i	−0.0464107	−	0.150460i	−0.975812	+	0.218610i	$0.929848\pi$
$740$	−20.3068	+	3.13668i	−0.746494	+	0.115306i
$741$	−3.35141	+	6.95928i	−0.123117	+	0.255656i
$742$	4.66806	+	0.321491i	0.171370	+	0.0118023i
$743$	9.28667	+	19.2840i	0.340695	+	0.707460i	0.998973	−	0.0453148i	$-0.0144291\pi$
$743$	9.28667	+	19.2840i	0.340695	+	0.707460i	−0.658278	+	0.752775i	$0.728715\pi$
$744$	2.25005	−	1.95789i	0.0824907	−	0.0717796i
$745$	−33.0871	+	2.47954i	−1.21222	+	0.0908432i
$746$	11.0292	+	2.93369i	0.403809	+	0.107410i
$747$	−15.1260	−	4.66574i	−0.553430	−	0.170711i
$748$	−16.4368	−	13.0100i	−0.600989	−	0.475691i
$749$	6.79476	−	25.7924i	0.248275	−	0.942434i
$750$	−4.83075	+	7.71936i	−0.176394	+	0.281871i
$751$	20.4778	+	30.0354i	0.747244	+	1.09601i	0.991977	+	0.126415i	$0.0403472\pi$
$751$	20.4778	+	30.0354i	0.747244	+	1.09601i	−0.244733	+	0.969590i	$0.578700\pi$
$752$	7.88370	−	20.5271i	0.287489	−	0.748547i
$753$	1.73910	+	3.01220i	0.0633762	+	0.109771i
$754$	−10.8931	+	25.0923i	−0.396705	+	0.913808i
$755$	−17.3237	−	75.9002i	−0.630475	−	2.76229i
$756$	9.58434	+	3.26933i	0.348579	+	0.118904i
$757$	−4.88733	+	21.4128i	−0.177633	+	0.778262i	0.805086	+	0.593158i	$0.202119\pi$
$757$	−4.88733	+	21.4128i	−0.177633	+	0.778262i	−0.982719	+	0.185103i	$0.940738\pi$
$758$	38.7527	+	28.4916i	1.40756	+	1.03486i
$759$	3.80086	+	0.572887i	0.137962	+	0.0207945i
$760$	−57.6414	+	11.2339i	−2.09087	+	0.407495i
$761$	11.8169	−	12.7356i	0.428363	−	0.461666i	−0.481578	−	0.876403i	$-0.659936\pi$
$761$	11.8169	−	12.7356i	0.428363	−	0.461666i	0.909941	+	0.414737i	$0.136127\pi$
$762$	−0.101794	+	0.918525i	−0.00368761	+	0.0332746i
$763$	−24.3328	−	38.3657i	−0.880905	−	1.38893i
$764$	7.62256	−	3.70520i	0.275775	−	0.134049i
$765$	−14.3030	+	24.7735i	−0.517126	+	0.895688i
$766$	17.5051	−	12.9688i	0.632483	−	0.468581i
$767$	6.92554	+	7.46396i	0.250067	+	0.269508i
$768$	−0.312455	+	5.18518i	−0.0112748	+	0.187104i
$769$	32.3775	+	25.8202i	1.16756	+	0.931100i	0.998513	−	0.0545075i	$-0.0173589\pi$
$769$	32.3775	+	25.8202i	1.16756	+	0.931100i	0.169049	+	0.985608i	$0.445930\pi$
$770$	41.0309	+	43.6888i	1.47865	+	1.57443i
$771$	−3.56149	+	2.84019i	−0.128264	+	0.102287i
$772$	−35.5263	−	2.53185i	−1.27862	−	0.0911232i
$773$	28.4357	+	11.1602i	1.02276	+	0.401404i	0.816655	−	0.577126i	$-0.195826\pi$
$773$	28.4357	+	11.1602i	1.02276	+	0.401404i	0.206105	+	0.978530i	$0.433921\pi$
$774$	6.41705	+	33.5790i	0.230656	+	1.20697i
$775$	−11.9891	−	30.5478i	−0.430663	−	1.09731i
$776$	−1.74164	+	1.76083i	−0.0625212	+	0.0632102i
$777$	−2.26881	+	0.0944627i	−0.0813932	+	0.00338883i
$778$	0.561047	−	1.61283i	0.0201145	−	0.0578226i
$779$	−3.79799	−	0.284620i	−0.136077	−	0.0101976i
$780$	9.71148	−	5.65433i	0.347727	−	0.202457i
$781$	36.2214	+	24.6954i	1.29611	+	0.883670i
$782$	−2.69178	−	9.97297i	−0.0962580	−	0.356633i
$783$	8.31240			0.297061
$784$	−27.3926	−	5.80045i	−0.978307	−	0.207159i
$785$	−20.1146			−0.717921
$786$	2.63137	+	9.74915i	0.0938580	+	0.347741i
$787$	−11.2333	−	7.65875i	−0.400425	−	0.273005i	0.346319	−	0.938117i	$-0.387431\pi$
$787$	−11.2333	−	7.65875i	−0.400425	−	0.273005i	−0.746744	+	0.665112i	$0.768384\pi$
$788$	−30.9264	+	18.0063i	−1.10171	+	0.641449i
$789$	7.31874	+	0.548464i	0.260554	+	0.0195258i
$790$	−1.15908	+	3.33198i	−0.0412383	+	0.118547i
$791$	−3.10221	−	11.3856i	−0.110302	−	0.404825i
$792$	−23.7305	+	23.9920i	−0.843226	+	0.852519i
$793$	−13.3511	−	34.0181i	−0.474113	−	1.20802i
$794$	3.05193	+	15.9701i	0.108309	+	0.566757i
$795$	−1.46879	−	0.576457i	−0.0520925	−	0.0204448i
$796$	3.30102	+	0.235253i	0.117002	+	0.00833833i
$797$	26.5410	−	21.1658i	0.940132	−	0.749730i	−0.0281467	−	0.999604i	$-0.508961\pi$
$797$	26.5410	−	21.1658i	0.940132	−	0.749730i	0.968278	+	0.249874i	$0.0803891\pi$
$798$	−6.46877	+	0.524063i	−0.228992	+	0.0185516i
$799$	10.9292	+	8.71578i	0.386649	+	0.308342i
$800$	52.5912	+	22.3758i	1.85938	+	0.791104i
$801$	7.79336	+	8.39924i	0.275365	+	0.296773i
$802$	−22.2524	+	16.4859i	−0.785759	+	0.582137i
$803$	11.0993	−	19.2246i	0.391687	−	0.678422i
$804$	−6.42778	+	3.12443i	−0.226690	+	0.110190i
$805$	3.43042	+	29.3349i	0.120906	+	1.03392i
$806$	−2.25318	+	20.3312i	−0.0793647	+	0.716137i
$807$	2.05564	−	2.21546i	0.0723620	−	0.0779877i
$808$	−54.7382	+	10.6680i	−1.92568	+	0.375301i
$809$	47.5818	+	7.17180i	1.67289	+	0.252147i	0.915935	−	0.401326i	$-0.131451\pi$
$809$	47.5818	+	7.17180i	1.67289	+	0.252147i	0.756950	+	0.653473i	$0.226689\pi$
$810$	35.7012	+	26.2481i	1.25441	+	0.922265i
$811$	7.93676	−	34.7732i	0.278697	−	1.22105i	−0.620744	−	0.784013i	$-0.713170\pi$
$811$	7.93676	−	34.7732i	0.278697	−	1.22105i	0.899442	−	0.437040i	$-0.143973\pi$
$812$	−22.8183	+	2.75291i	−0.800765	+	0.0966081i
$813$	−0.557753	−	2.44368i	−0.0195612	−	0.0857034i
$814$	6.13637	−	14.1351i	0.215080	−	0.495435i
$815$	−29.3765	−	50.8815i	−1.02901	−	1.78230i
$816$	−3.08280	−	1.18399i	−0.107920	−	0.0414479i
$817$	−25.1337	−	36.8644i	−0.879317	−	1.28972i
$818$	25.4530	−	40.6729i	0.889943	−	1.42210i
$819$	−31.2013	+	13.7697i	−1.09026	+	0.481152i
$820$	4.34474	+	3.43892i	0.151725	+	0.120092i
$821$	−52.8334	−	16.2969i	−1.84390	−	0.568767i	−0.999451	−	0.0331287i	$-0.989453\pi$
$821$	−52.8334	−	16.2969i	−1.84390	−	0.568767i	−0.844447	−	0.535639i	$-0.820071\pi$
$822$	−1.06662	−	0.283712i	−0.0372026	−	0.00989560i
$823$	19.8325	−	1.48624i	0.691316	−	0.0518070i	0.275561	−	0.961284i	$-0.411136\pi$
$823$	19.8325	−	1.48624i	0.691316	−	0.0518070i	0.415755	+	0.909477i	$0.363517\pi$
$824$	−3.63247	+	3.16080i	−0.126543	+	0.110112i
$825$	−5.86615	−	12.1812i	−0.204233	−	0.424094i
$826$	−2.47224	+	8.19004i	−0.0860201	+	0.284968i
$827$	20.6355	−	42.8500i	0.717565	−	1.49004i	−0.147864	−	0.989008i	$-0.547240\pi$
$827$	20.6355	−	42.8500i	0.717565	−	1.49004i	0.865429	−	0.501031i	$-0.167046\pi$
$828$	−16.4341	+	2.53847i	−0.571123	+	0.0882181i
$829$	15.9699	+	51.7730i	0.554656	+	1.79815i	0.601029	+	0.799227i	$0.294757\pi$
$829$	15.9699	+	51.7730i	0.554656	+	1.79815i	−0.0463732	+	0.998924i	$0.514766\pi$
$830$	−26.5981	−	13.9954i	−0.923234	−	0.485788i
$831$	−6.92753	+	1.04416i	−0.240313	+	0.0362214i
$832$	−22.5164	−	27.6084i	−0.780614	−	0.957149i
$833$	8.77004	−	15.4900i	0.303864	−	0.536697i
$834$	−0.965128	−	8.42736i	−0.0334197	−	0.291816i
$835$	−8.16085	−	54.1437i	−0.282418	−	1.87372i
$836$	15.9402	−	41.0553i	0.551303	−	1.41993i
$837$	5.93979	−	1.83218i	0.205309	−	0.0633295i
$838$	44.8848	−	1.76158i	1.55052	−	0.0608528i
$839$	35.4474	+	17.0706i	1.22378	+	0.589341i	0.930362	−	0.366643i	$-0.119493\pi$
$839$	35.4474	+	17.0706i	1.22378	+	0.589341i	0.293418	+	0.955984i	$0.405207\pi$
$840$	8.22234	+	4.64151i	0.283698	+	0.160147i
$841$	9.13026	−	4.39690i	0.314837	−	0.151617i
$842$	−13.5449	+	7.19037i	−0.466788	+	0.247797i
$843$	0.144165	+	1.92374i	0.00496529	+	0.0662573i
$844$	41.9752	+	6.17000i	1.44485	+	0.212380i
$845$	−7.82543	+	25.3694i	−0.269203	+	0.872734i
$846$	15.8832	−	15.9413i	0.546076	−	0.548074i
$847$	−15.5562	+	3.01130i	−0.534517	+	0.103470i
$848$	−1.07743	+	4.88478i	−0.0369991	+	0.167744i
$849$	3.66104	−	2.49606i	0.125647	−	0.0856644i
$850$	−23.6499	+	27.5834i	−0.811185	+	0.946104i
$851$	6.57617	−	3.79675i	0.225428	−	0.130151i
$852$	6.60677	+	2.01152i	0.226344	+	0.0689134i
$853$	29.8772	−	6.81927i	1.02298	−	0.233488i	0.322051	−	0.946722i	$-0.395628\pi$
$853$	29.8772	−	6.81927i	1.02298	−	0.233488i	0.700925	+	0.713235i	$0.252771\pi$
$854$	18.9989	−	24.1212i	0.650128	−	0.825410i
$855$	−58.5929	−	13.3734i	−2.00383	−	0.457362i
$856$	26.1969	+	11.2591i	0.895393	+	0.384829i
$857$	−1.85531	+	12.3092i	−0.0633762	+	0.420474i	0.934535	+	0.355872i	$0.115816\pi$
$857$	−1.85531	+	12.3092i	−0.0633762	+	0.420474i	−0.997911	+	0.0646022i	$0.979422\pi$
$858$	−0.299734	+	8.42227i	−0.0102328	+	0.287532i
$859$	24.1279	+	22.3875i	0.823235	+	0.763850i	0.974439	−	0.224652i	$-0.0721247\pi$
$859$	24.1279	+	22.3875i	0.823235	+	0.763850i	−0.151204	+	0.988503i	$0.548315\pi$
$860$	0.237142	+	64.9110i	0.00808646	+	2.21345i
$861$	0.434819	+	0.431172i	0.0148186	+	0.0146943i
$862$	3.12477	+	8.87802i	0.106430	+	0.302386i
$863$	33.9885	+	19.6233i	1.15698	+	0.667984i	0.950579	−	0.310483i	$-0.100491\pi$
$863$	33.9885	+	19.6233i	1.15698	+	0.667984i	0.206404	+	0.978467i	$0.433824\pi$
$864$	−4.97093	+	9.61705i	−0.169114	+	0.327179i
$865$	22.3491	−	20.7370i	0.759893	−	0.705078i
$866$	23.9001	−	20.6438i	0.812157	−	0.701504i
$867$	−2.13224	+	2.67375i	−0.0724147	+	0.0908052i
$868$	−15.6985	+	6.99664i	−0.532841	+	0.237482i
$869$	−1.64955	−	2.06847i	−0.0559572	−	0.0701681i
$870$	7.61792	+	1.42698i	0.258272	+	0.0483791i
$871$	17.9074	−	45.6274i	0.606770	−	1.54602i
$872$	44.4087	−	19.6657i	1.50387	−	0.665964i
$873$	−2.35939	+	0.925992i	−0.0798533	+	0.0313401i
$874$	18.3549	−	11.5800i	0.620864	−	0.391698i
$875$	39.6294	−	34.3954i	1.33972	−	1.16278i
$876$	0.765714	−	3.41223i	0.0258711	−	0.115288i
$877$	−1.83364	+	24.4683i	−0.0619177	+	0.826234i	0.876648	+	0.481133i	$0.159775\pi$
$877$	−1.83364	+	24.4683i	−0.0619177	+	0.826234i	−0.938565	+	0.345102i	$0.887844\pi$
$878$	15.1749	+	34.6086i	0.512128	+	1.16798i
$879$	3.62661	−	5.31925i	0.122322	−	0.179414i
$880$	−52.6749	+	36.4798i	−1.77567	+	1.22973i
$881$			12.9485i			0.436245i	0.975921	+	0.218122i	$0.0699932\pi$
$881$			12.9485i			0.436245i	−0.975921	+	0.218122i	$0.930007\pi$
$882$	−23.2290	−	16.7787i	−0.782160	−	0.564969i
$883$		−	32.6937i		−	1.10023i	−0.835088	−	0.550116i	$-0.814583\pi$
$883$		−	32.6937i		−	1.10023i	0.835088	−	0.550116i	$-0.185417\pi$
$884$	21.0525	−	8.35137i	0.708071	−	0.280887i
$885$	1.62510	−	2.38359i	0.0546273	−	0.0801235i
$886$	−6.04714	+	2.65150i	−0.203158	+	0.0890788i
$887$	0.433610	−	5.78612i	0.0145592	−	0.194279i	−0.985182	−	0.171514i	$-0.945134\pi$
$887$	0.433610	−	5.78612i	0.0145592	−	0.194279i	0.999741	−	0.0227647i	$-0.00724686\pi$
$888$	0.258577	−	2.41375i	0.00867729	−	0.0810002i
$889$	2.10897	−	4.88990i	0.0707327	−	0.164002i
$890$	11.6083	+	18.3998i	0.389110	+	0.616762i
$891$	−30.9343	+	12.1408i	−1.03634	+	0.406733i
$892$	−6.99346	−	22.3816i	−0.234158	−	0.749392i
$893$	−10.7298	+	27.3390i	−0.359058	+	0.914866i
$894$	0.721733	−	3.85296i	0.0241383	−	0.128862i
$895$	26.5112	+	33.2440i	0.886172	+	1.11122i
$896$	10.4607	−	28.0459i	0.349466	−	0.936949i
$897$	−2.58931	+	3.24689i	−0.0864546	+	0.108411i
$898$	4.77993	+	5.53390i	0.159508	+	0.184669i
$899$	−10.3419	+	9.59585i	−0.344921	+	0.320040i
$900$	39.9400	+	42.7309i	1.33133	+	1.42436i
$901$	−2.75399	−	1.59002i	−0.0917488	−	0.0529712i
$902$	−3.91976	+	1.37962i	−0.130514	+	0.0459364i
$903$	−0.773155	+	7.13176i	−0.0257290	+	0.237330i
$904$	12.5282	−	1.48116i	0.416681	−	0.0492625i
$905$	4.31187	+	4.00083i	0.143331	+	0.132992i
$906$	9.19188	+	0.327123i	0.305380	+	0.0108679i
$907$	−5.58891	+	37.0800i	−0.185577	+	1.23122i	0.681040	+	0.732246i	$0.261528\pi$
$907$	−5.58891	+	37.0800i	−0.185577	+	1.23122i	−0.866617	+	0.498974i	$0.833710\pi$
$908$	−22.2337	−	12.7285i	−0.737850	−	0.422411i
$909$	−55.6417	−	12.6999i	−1.84552	−	0.421228i
$910$	−63.0440	+	14.7904i	−2.08989	+	0.490298i
$911$	−4.13322	+	0.943381i	−0.136940	+	0.0312556i	−0.290441	−	0.956893i	$-0.593802\pi$
$911$	−4.13322	+	0.943381i	−0.136940	+	0.0312556i	0.153502	+	0.988148i	$0.450945\pi$
$912$	0.467916	−	6.92226i	0.0154943	−	0.229219i
$913$	19.5202	−	11.2700i	0.646024	−	0.372982i
$914$	−36.9362	−	31.6689i	−1.22174	−	1.04751i
$915$	−8.55493	+	5.83266i	−0.282817	+	0.192822i
$916$	21.2313	+	10.1290i	0.701500	+	0.334673i
$917$	1.93085	−	58.1568i	0.0637622	−	1.92051i
$918$	−4.87538	−	4.85760i	−0.160911	−	0.160325i
$919$	1.54394	−	5.00533i	0.0509299	−	0.165111i	−0.926535	−	0.376208i	$-0.877228\pi$
$919$	1.54394	−	5.00533i	0.0509299	−	0.165111i	0.977465	+	0.211098i	$0.0677039\pi$
$920$	−31.5579	−	1.00767i	−1.04043	−	0.0332219i
$921$	−0.361888	−	4.82905i	−0.0119246	−	0.159123i
$922$	14.8778	+	28.0260i	0.489973	+	0.922989i
$923$	−42.6741	+	20.5508i	−1.40464	+	0.676437i
$924$	−6.23416	+	3.35784i	−0.205089	+	0.110465i
$925$	−24.0642	−	11.5887i	−0.791227	−	0.381035i
$926$	−1.26927	−	32.3409i	−0.0417109	−	1.06279i
$927$	−4.70885	+	1.45249i	−0.154659	+	0.0477060i
$928$	0.694437	−	24.5608i	0.0227960	−	0.806249i
$929$	1.40032	+	9.29050i	0.0459429	+	0.304811i	0.999987	+	0.00514430i	$0.00163749\pi$
$929$	1.40032	+	9.29050i	0.0459429	+	0.304811i	−0.954044	+	0.299667i	$0.903124\pi$
$930$	5.75806	−	0.659431i	0.188814	−	0.0216236i
$931$	36.5289	+	8.01440i	1.19719	+	0.262661i
$932$	0.937709	−	0.217633i	0.0307157	−	0.00712881i
$933$	1.30439	−	0.196604i	0.0427037	−	0.00643654i
$934$	−5.78614	+	10.9965i	−0.189328	+	0.359816i
$935$	−12.0064	−	38.9237i	−0.392651	−	1.27294i
$936$	−9.62923	−	35.1648i	−0.314741	−	1.14940i
$937$	−18.0526	+	37.4867i	−0.589754	+	1.22464i	0.366040	+	0.930599i	$0.380713\pi$
$937$	−18.0526	+	37.4867i	−0.589754	+	1.22464i	−0.955794	+	0.294037i	$0.905001\pi$
$938$	40.6856	−	6.38384i	1.32843	−	0.208440i
$939$	3.00693	+	6.24396i	0.0981275	+	0.203764i
$940$	35.2153	−	24.1983i	1.14860	−	0.789263i
$941$	−45.8896	+	3.43895i	−1.49596	+	0.112107i	−0.797403	−	0.603448i	$-0.793793\pi$
$941$	−45.8896	+	3.43895i	−1.49596	+	0.112107i	−0.698557	+	0.715554i	$0.746174\pi$
$942$	0.610865	−	2.29655i	0.0199030	−	0.0748256i
$943$	−1.95674	−	0.603575i	−0.0637203	−	0.0196551i
$944$	−8.26878	−	3.90787i	−0.269126	−	0.127190i
$945$	11.7515	+	15.7832i	0.382276	+	0.513426i
$946$	−41.2658	−	25.8240i	−1.34167	−	0.839611i
$947$	9.92806	+	14.5618i	0.322619	+	0.473195i	0.952948	−	0.303133i	$-0.0980327\pi$
$947$	9.92806	+	14.5618i	0.322619	+	0.473195i	−0.630330	+	0.776328i	$0.717080\pi$
$948$	−0.345222	−	0.233526i	−0.0112123	−	0.00758456i
$949$	11.9920	+	20.7708i	0.389277	+	0.674248i
$950$	−70.0224	−	30.3983i	−2.27183	−	0.986252i
$951$	0.861943	+	3.77642i	0.0279504	+	0.122459i
$952$	14.9921	+	11.7199i	0.485896	+	0.379845i
$953$	3.35018	−	14.6781i	0.108523	−	0.475470i	−0.891237	−	0.453539i	$-0.850161\pi$
$953$	3.35018	−	14.6781i	0.108523	−	0.475470i	0.999759	−	0.0219311i	$-0.00698144\pi$
$954$	−3.03236	+	4.12445i	−0.0981764	+	0.133534i
$955$	16.2850	+	2.45457i	0.526970	+	0.0794280i
$956$	0.763413	+	9.71084i	0.0246905	+	0.314071i
$957$	−3.95343	+	4.26078i	−0.127796	+	0.137731i
$958$	13.1586	+	1.45828i	0.425136	+	0.0471150i
$959$	5.39936	+	3.36101i	0.174354	+	0.108533i
$960$	−6.20656	+	7.96021i	−0.200316	+	0.256915i
$961$	10.2251	−	17.7104i	0.329842	−	0.571303i
$962$	9.91093	+	13.3776i	0.319541	+	0.431312i
$963$	19.8482	+	21.3912i	0.639598	+	0.689322i
$964$	−15.2247	−	14.0233i	−0.490354	−	0.451660i
$965$	−54.1092	−	43.1506i	−1.74184	−	1.38907i
$966$	−3.45343	−	0.499215i	−0.111112	−	0.0160620i
$967$	−40.4271	+	32.2395i	−1.30005	+	1.03675i	−0.303577	+	0.952807i	$0.598181\pi$
$967$	−40.4271	+	32.2395i	−1.30005	+	1.03675i	−0.996470	+	0.0839463i	$0.973248\pi$
$968$	−0.726119	−	16.9234i	−0.0233383	−	0.543939i
$969$	4.10583	+	1.61142i	0.131898	+	0.0517662i
$970$	−4.72699	+	0.903341i	−0.151774	+	0.0290045i
$971$	−20.1785	−	51.4139i	−0.647558	−	1.64995i	−0.754989	−	0.655738i	$-0.772358\pi$
$971$	−20.1785	−	51.4139i	−0.647558	−	1.64995i	0.107431	−	0.994213i	$-0.465738\pi$
$972$	−13.0322	+	10.4710i	−0.418008	+	0.335856i
$973$	−8.88488	+	48.0650i	−0.284836	+	1.54089i
$974$	1.26977	+	0.441709i	0.0406860	+	0.0141533i
$975$	14.5666	+	1.09162i	0.466505	+	0.0349597i
$976$	22.5018	+	23.8986i	0.720265	+	0.764974i
$977$	−29.1504	−	19.8744i	−0.932605	−	0.635839i	−0.00126838	−	0.999999i	$-0.500404\pi$
$977$	−29.1504	−	19.8744i	−0.932605	−	0.635839i	−0.931336	+	0.364160i	$0.881356\pi$
$978$	6.70144	−	1.80877i	0.214289	−	0.0578382i
$979$	−16.3155			−0.521444
$980$	−37.4860	−	39.4343i	−1.19745	−	1.25968i
$981$	49.7044			1.58694
$982$	−40.6846	+	10.9811i	−1.29830	+	0.350421i
$983$	35.2819	+	24.0548i	1.12532	+	0.767229i	0.975175	−	0.221435i	$-0.0710741\pi$
$983$	35.2819	+	24.0548i	1.12532	+	0.767229i	0.150143	+	0.988664i	$0.452027\pi$
$984$	−0.524578	+	0.391615i	−0.0167229	+	0.0124842i
$985$	−69.3441	−	5.19663i	−2.20949	−	0.165578i
$986$	14.7531	+	5.13211i	0.469835	+	0.163440i
$987$	4.16545	−	2.22400i	0.132588	−	0.0707907i
$988$	29.8034	+	37.0934i	0.948172	+	1.18010i
$989$	−8.76395	−	22.3302i	−0.278677	−	0.710058i
$990$	−64.4070	+	12.3084i	−2.04699	+	0.391185i
$991$	−26.6108	−	10.4440i	−0.845318	−	0.331763i	−0.0971482	−	0.995270i	$-0.530972\pi$
$991$	−26.6108	−	10.4440i	−0.845318	−	0.331763i	−0.748170	+	0.663507i	$0.769067\pi$
$992$	−4.91737	−	17.7035i	−0.156127	−	0.562086i
$993$	−4.09812	+	3.26814i	−0.130050	+	0.103711i
$994$	−33.0160	−	22.2191i	−1.04720	−	0.704747i
$995$	5.02769	+	4.00945i	0.159389	+	0.127108i
$996$	2.40567	−	2.61176i	0.0762264	−	0.0827569i
$997$	−15.8947	−	17.1304i	−0.503389	−	0.542525i	0.429321	−	0.903152i	$-0.358753\pi$
$997$	−15.8947	−	17.1304i	−0.503389	−	0.542525i	−0.932710	+	0.360628i	$0.882563\pi$
$998$	−2.63264	−	3.55350i	−0.0833348	−	0.112484i
$999$	2.52959	−	4.38137i	0.0800326	−	0.138620i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	196.2.p.a.103.17	yes	312
4.3	odd	2	inner	196.2.p.a.103.14	yes	312
49.10	odd	42	inner	196.2.p.a.59.14	✓	312
196.59	even	42	inner	196.2.p.a.59.17	yes	312

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
196.2.p.a.59.14	✓	312	49.10	odd	42	inner
196.2.p.a.59.17	yes	312	196.59	even	42	inner
196.2.p.a.103.14	yes	312	4.3	odd	2	inner
196.2.p.a.103.17	yes	312	1.1	even	1	trivial

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 196 = 2^{2} \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	196.p (of order \(42\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.368520 + 1.36535i) q^{2} +(-0.268248 - 0.182888i) q^{3} +(-1.72839 + 1.00632i) q^{4} +(-3.87544 - 0.290424i) q^{5} +(0.150853 - 0.433651i) q^{6} +(-1.56212 + 2.13536i) q^{7} +(-2.01093 - 1.98901i) q^{8} +(-1.05751 - 2.69450i) q^{9} +(-1.03165 - 5.39838i) q^{10} +(3.83683 + 1.50584i) q^{11} +(0.647680 + 0.0461581i) q^{12} +(-3.48169 + 2.77655i) q^{13} +(-3.49120 - 1.34593i) q^{14} +(0.986464 + 0.786679i) q^{15} +(1.97464 - 3.47862i) q^{16} +(1.72962 + 1.86409i) q^{17} +(3.28924 - 2.43686i) q^{18} +(-2.67127 + 4.62677i) q^{19} +(6.99052 - 3.39797i) q^{20} +(0.809569 - 0.287113i) q^{21} +(-0.642063 + 5.79357i) q^{22} +(-1.95374 + 2.10563i) q^{23} +(0.175661 + 0.901323i) q^{24} +(9.99054 + 1.50583i) q^{25} +(-5.07405 - 3.73052i) q^{26} +(-0.425849 + 1.86577i) q^{27} +(0.551088 - 5.26273i) q^{28} +(-0.966524 - 4.23462i) q^{29} +(-0.710563 + 1.63678i) q^{30} +(-1.62402 - 2.81289i) q^{31} +(5.47725 + 1.41414i) q^{32} +(-0.753820 - 1.10565i) q^{33} +(-1.90774 + 3.04850i) q^{34} +(6.67407 - 7.82180i) q^{35} +(4.53933 + 3.59294i) q^{36} +(-2.52615 - 0.779213i) q^{37} +(-7.30160 - 1.94217i) q^{38} +(1.44175 - 0.108045i) q^{39} +(7.21558 + 8.29231i) q^{40} +(0.309311 + 0.642291i) q^{41} +(0.690353 + 0.999542i) q^{42} +(-3.62349 + 7.52426i) q^{43} +(-8.14689 + 1.25840i) q^{44} +(3.31579 + 10.7495i) q^{45} +(-3.59492 - 1.89158i) q^{46} +(5.43584 - 0.819322i) q^{47} +(-1.16589 + 0.571995i) q^{48} +(-2.11955 - 6.67139i) q^{49} +(1.62572 + 14.1956i) q^{50} +(-0.123047 - 0.816365i) q^{51} +(3.22360 - 8.30265i) q^{52} +(-1.19499 + 0.368606i) q^{53} +(-2.70437 + 0.106137i) q^{54} +(-14.4321 - 6.95012i) q^{55} +(7.38858 - 1.18699i) q^{56} +(1.56274 - 0.752578i) q^{57} +(5.42557 - 2.88019i) q^{58} +(-0.170865 - 2.28004i) q^{59} +(-2.49664 - 0.366985i) q^{60} +(-2.41883 + 7.84164i) q^{61} +(3.24211 - 3.25398i) q^{62} +(7.40571 + 1.95096i) q^{63} +(0.0876778 + 7.99952i) q^{64} +(14.2995 - 9.74920i) q^{65} +(1.23181 - 1.43669i) q^{66} +(-9.53210 + 5.50336i) q^{67} +(-4.86532 - 1.48131i) q^{68} +(0.909182 - 0.207515i) q^{69} +(13.1391 + 6.22998i) q^{70} +(10.3693 + 2.36673i) q^{71} +(-3.23281 + 7.52186i) q^{72} +(0.802703 - 5.32559i) q^{73} +(0.132966 - 3.73624i) q^{74} +(-2.40454 - 2.23109i) q^{75} +(-0.0390359 - 10.6850i) q^{76} +(-9.20912 + 5.84071i) q^{77} +(0.678835 + 1.92869i) q^{78} +(-0.555886 - 0.320941i) q^{79} +(-8.66286 + 12.9077i) q^{80} +(-5.91020 + 5.48387i) q^{81} +(-0.762968 + 0.659017i) q^{82} +(3.40958 - 4.27548i) q^{83} +(-1.11032 + 1.31093i) q^{84} +(-6.16167 - 7.72649i) q^{85} +(-11.6086 - 2.17451i) q^{86} +(-0.515194 + 1.31269i) q^{87} +(-4.72046 - 10.6596i) q^{88} +(-3.68475 + 1.44616i) q^{89} +(-13.4550 + 8.48863i) q^{90} +(-0.490130 - 11.7720i) q^{91} +(1.25788 - 5.60543i) q^{92} +(-0.0788041 + 1.05157i) q^{93} +(3.12188 + 7.11992i) q^{94} +(11.6961 - 17.1550i) q^{95} +(-1.21063 - 1.38106i) q^{96} -0.875631i q^{97} +(8.32772 - 5.35248i) q^{98} -11.9308i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 312 q - 13 q^{2} - 13 q^{4} - 22 q^{5} - 14 q^{6} - 4 q^{8} - 4 q^{9} - 20 q^{10} + 9 q^{12} - 28 q^{13} - 51 q^{14} - 17 q^{16} - 22 q^{17} - 12 q^{18} - 14 q^{20} - 34 q^{21} - 18 q^{22} - 44 q^{24} - 48 q^{25}+ \cdots + 183 q^{98}+O(q^{100}) \) 312 * q - 13 * q^2 - 13 * q^4 - 22 * q^5 - 14 * q^6 - 4 * q^8 - 4 * q^9 - 20 * q^10 + 9 * q^12 - 28 * q^13 - 51 * q^14 - 17 * q^16 - 22 * q^17 - 12 * q^18 - 14 * q^20 - 34 * q^21 - 18 * q^22 - 44 * q^24 - 48 * q^25 - 2 * q^26 - 36 * q^28 - 11 * q^30 - 13 * q^32 - 34 * q^33 - 98 * q^34 - 4 * q^36 - 58 * q^37 - 18 * q^38 + 30 * q^40 - 28 * q^41 - 26 * q^42 + 16 * q^44 - 28 * q^45 - 14 * q^46 - 24 * q^49 + 96 * q^50 - 14 * q^52 - 22 * q^53 - 17 * q^54 + 40 * q^56 + 34 * q^57 - 12 * q^58 + 98 * q^60 - 38 * q^61 - 4 * q^64 - 32 * q^65 - 176 * q^66 - 21 * q^68 + 28 * q^69 + 50 * q^70 - 120 * q^72 - 58 * q^73 - 14 * q^74 - 91 * q^76 - 18 * q^77 - 112 * q^78 + 66 * q^80 - 170 * q^81 + 114 * q^82 + 140 * q^84 - 24 * q^85 + 97 * q^86 + 127 * q^88 - 82 * q^89 + 266 * q^90 + 34 * q^92 + 226 * q^94 + 122 * q^96 + 183 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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