LMFDB - Embedded newform 87.2.k.a.2.5

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [87,2,Mod(2,87)] 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("87.2"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(87, base_ring=CyclotomicField(28)) chi = DirichletCharacter(H, H._module([14, 1])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 87 = 3 \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	87.k (of order $28$, 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:	$0.694698497585$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$8$ over $\Q(\zeta_{28})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label			2.5
Character	$\chi$	$=$	87.2
Dual form			87.2.k.a.44.5

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.108076 - 0.959202i) q^{2} +(-0.996724 + 1.41652i) q^{3} +(1.04147 + 0.237708i) q^{4} +(1.18935 + 1.49140i) q^{5} +(1.25101 + 1.10915i) q^{6} +(-0.00234208 - 0.0102613i) q^{7} +(0.978186 - 2.79549i) q^{8} +(-1.01308 - 2.82377i) q^{9} +(1.55910 - 0.979646i) q^{10} +(-1.04262 - 2.97964i) q^{11} +(-1.37477 + 1.23833i) q^{12} +(-2.37674 + 4.93536i) q^{13} +(-0.0100958 + 0.00113753i) q^{14} +(-3.29806 + 0.198232i) q^{15} +(-0.650805 - 0.313411i) q^{16} +(1.33041 + 1.33041i) q^{17} +(-2.81805 + 0.666569i) q^{18} +(-3.58912 - 5.71205i) q^{19} +(0.884155 + 1.83597i) q^{20} +(0.0168698 + 0.00691010i) q^{21} +(-2.97076 + 0.678057i) q^{22} +(-1.51439 - 1.20769i) q^{23} +(2.98491 + 4.17196i) q^{24} +(0.302886 - 1.32703i) q^{25} +(4.47714 + 2.81317i) q^{26} +(5.00970 + 1.37946i) q^{27} -0.0112436i q^{28} +(-5.18457 + 1.45609i) q^{29} +(-0.166298 + 3.18494i) q^{30} +(-4.73194 - 0.533162i) q^{31} +(2.78047 - 4.42510i) q^{32} +(5.25994 + 1.49298i) q^{33} +(1.41992 - 1.13235i) q^{34} +(0.0125182 - 0.0156973i) q^{35} +(-0.383860 - 3.18168i) q^{36} +(6.27435 + 2.19549i) q^{37} +(-5.86691 + 2.82535i) q^{38} +(-4.62210 - 8.28591i) q^{39} +(5.33262 - 1.86596i) q^{40} +(1.30214 - 1.30214i) q^{41} +(0.00845141 - 0.0154348i) q^{42} +(0.496740 + 4.40869i) q^{43} +(-0.377572 - 3.35104i) q^{44} +(3.00646 - 4.86937i) q^{45} +(-1.32209 + 1.32209i) q^{46} +(3.15765 - 1.10491i) q^{47} +(1.09263 - 0.609497i) q^{48} +(6.30668 - 3.03714i) q^{49} +(-1.24016 - 0.433949i) q^{50} +(-3.21061 + 0.558506i) q^{51} +(-3.64848 + 4.57504i) q^{52} +(-5.78058 + 4.60986i) q^{53} +(1.86461 - 4.65623i) q^{54} +(3.20380 - 5.09882i) q^{55} +(-0.0309765 - 0.00349021i) q^{56} +(11.6686 + 0.609263i) q^{57} +(0.836360 + 5.13042i) q^{58} +13.5690i q^{59} +(-3.48195 - 0.577525i) q^{60} +(7.66936 + 4.81898i) q^{61} +(-1.02282 + 4.48127i) q^{62} +(-0.0266029 + 0.0170091i) q^{63} +(-5.07355 - 4.04603i) q^{64} +(-10.1874 + 2.32521i) q^{65} +(2.00055 - 4.88399i) q^{66} +(-0.974487 - 2.02354i) q^{67} +(1.06933 + 1.70183i) q^{68} +(3.22015 - 0.941443i) q^{69} +(-0.0137040 - 0.0137040i) q^{70} +(9.47597 + 4.56339i) q^{71} +(-8.88481 + 0.0698971i) q^{72} +(-9.08130 + 1.02322i) q^{73} +(2.78403 - 5.78109i) q^{74} +(1.57788 + 1.75173i) q^{75} +(-2.38015 - 6.80207i) q^{76} +(-0.0281332 + 0.0176773i) q^{77} +(-8.44740 + 3.53802i) q^{78} +(-0.743076 + 2.12359i) q^{79} +(-0.306615 - 1.34337i) q^{80} +(-6.94733 + 5.72142i) q^{81} +(-1.10829 - 1.38975i) q^{82} +(-8.26757 - 1.88702i) q^{83} +(0.0159268 + 0.0112067i) q^{84} +(-0.401848 + 3.56650i) q^{85} +4.28251 q^{86} +(3.10499 - 8.79540i) q^{87} -9.34946 q^{88} +(1.09875 - 9.75169i) q^{89} +(-4.34579 - 3.41007i) q^{90} +(0.0562099 + 0.0128295i) q^{91} +(-1.29011 - 1.61775i) q^{92} +(5.47168 - 6.17150i) q^{93} +(-0.718566 - 3.14824i) q^{94} +(4.25023 - 12.1465i) q^{95} +(3.49689 + 8.34921i) q^{96} +(-2.33549 + 1.46749i) q^{97} +(-2.23163 - 6.37763i) q^{98} +(-7.35756 + 5.96275i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 12 q^{3} - 28 q^{4} - 14 q^{6} - 20 q^{7} - 14 q^{9} - 4 q^{10} - 8 q^{12} - 28 q^{13} - 16 q^{15} - 48 q^{16} - 28 q^{18} - 20 q^{19} + 26 q^{21} - 28 q^{22} + 58 q^{24} - 20 q^{25} + 36 q^{27}+ \cdots + 82 q^{99}+O(q^{100}) $ 96 * q - 12 * q^3 - 28 * q^4 - 14 * q^6 - 20 * q^7 - 14 * q^9 - 4 * q^10 - 8 * q^12 - 28 * q^13 - 16 * q^15 - 48 * q^16 - 28 * q^18 - 20 * q^19 + 26 * q^21 - 28 * q^22 + 58 * q^24 - 20 * q^25 + 36 * q^27 + 96 * q^30 - 32 * q^31 + 28 * q^33 - 28 * q^34 + 22 * q^36 - 4 * q^37 - 40 * q^39 - 48 * q^40 - 14 * q^42 - 32 * q^43 + 42 * q^45 + 120 * q^46 - 20 * q^48 + 4 * q^49 - 14 * q^51 + 72 * q^52 - 30 * q^54 + 148 * q^55 + 112 * q^58 + 20 * q^60 + 12 * q^61 - 14 * q^63 + 224 * q^64 - 32 * q^66 + 28 * q^67 + 10 * q^69 + 52 * q^70 - 44 * q^72 + 16 * q^73 - 144 * q^75 - 100 * q^76 - 102 * q^78 - 60 * q^79 - 146 * q^81 - 108 * q^82 - 64 * q^84 - 104 * q^85 - 70 * q^87 - 312 * q^88 - 96 * q^90 - 112 * q^91 - 70 * q^93 + 56 * q^94 - 168 * q^96 + 32 * q^97 + 82 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/87\mathbb{Z}\right)^\times$.

$n$	$31$	$59$
$\chi(n)$	$e\left(\frac{1}{28}\right)$	$-1$

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 $

$2$	0.108076	−	0.959202i	0.0764214	−	0.678258i	−0.895842	−	0.444372i	$-0.853427\pi$
$2$	0.108076	−	0.959202i	0.0764214	−	0.678258i	0.972264	−	0.233887i	$-0.0751445\pi$
$3$	−0.996724	+	1.41652i	−0.575459	+	0.817831i
$3$	−0.996724	+	1.41652i	−0.575459	+	0.817831i
$4$	1.04147	+	0.237708i	0.520734	+	0.118854i
$5$	1.18935	+	1.49140i	0.531895	+	0.666975i	0.973087	−	0.230437i	$-0.0740157\pi$
$5$	1.18935	+	1.49140i	0.531895	+	0.666975i	−0.441192	+	0.897413i	$0.645444\pi$
$6$	1.25101	+	1.10915i	0.510723	+	0.452810i
$7$	−0.00234208	−	0.0102613i	−0.000885224	−	0.00387842i	0.974483	−	0.224460i	$-0.0720617\pi$
$7$	−0.00234208	−	0.0102613i	−0.000885224	−	0.00387842i	−0.975369	+	0.220581i	$0.929205\pi$
$8$	0.978186	−	2.79549i	0.345841	−	0.988357i
$9$	−1.01308	−	2.82377i	−0.337694	−	0.941256i
$10$	1.55910	−	0.979646i	0.493030	−	0.309791i
$11$	−1.04262	−	2.97964i	−0.314362	−	0.898396i	−0.987324	−	0.158719i	$-0.949264\pi$
$11$	−1.04262	−	2.97964i	−0.314362	−	0.898396i	0.672961	−	0.739678i	$-0.265022\pi$
$12$	−1.37477	+	1.23833i	−0.396863	+	0.357476i
$13$	−2.37674	+	4.93536i	−0.659190	+	1.36882i	0.256345	+	0.966585i	$0.417482\pi$
$13$	−2.37674	+	4.93536i	−0.659190	+	1.36882i	−0.915535	+	0.402237i	$0.868233\pi$
$14$	−0.0100958	+	0.00113753i	−0.00269822	+	0.000304017i
$15$	−3.29806	+	0.198232i	−0.851557	+	0.0511833i
$16$	−0.650805	−	0.313411i	−0.162701	−	0.0783528i
$17$	1.33041	+	1.33041i	0.322672	+	0.322672i	0.849791	−	0.527119i	$-0.176728\pi$
$17$	1.33041	+	1.33041i	0.322672	+	0.322672i	−0.527119	+	0.849791i	$0.676728\pi$
$18$	−2.81805	+	0.666569i	−0.664222	+	0.157112i
$19$	−3.58912	−	5.71205i	−0.823400	−	1.31043i	−0.948014	−	0.318228i	$-0.896912\pi$
$19$	−3.58912	−	5.71205i	−0.823400	−	1.31043i	0.124614	−	0.992205i	$-0.460231\pi$
$20$	0.884155	+	1.83597i	0.197703	+	0.410534i
$21$	0.0168698	+	0.00691010i	0.00368130	+	0.00150791i
$22$	−2.97076	+	0.678057i	−0.633369	+	0.144562i
$23$	−1.51439	−	1.20769i	−0.315773	−	0.251820i	0.452758	−	0.891634i	$-0.350440\pi$
$23$	−1.51439	−	1.20769i	−0.315773	−	0.251820i	−0.768530	+	0.639813i	$0.779012\pi$
$24$	2.98491	+	4.17196i	0.609291	+	0.851598i
$25$	0.302886	−	1.32703i	0.0605772	−	0.265406i
$26$	4.47714	+	2.81317i	0.878039	+	0.551709i
$27$	5.00970	+	1.37946i	0.964117	+	0.265477i
$28$		−	0.0112436i		−	0.00212484i
$29$	−5.18457	+	1.45609i	−0.962751	+	0.270390i
$29$	−5.18457	+	1.45609i	−0.962751	+	0.270390i
$30$	−0.166298	+	3.18494i	−0.0303616	+	0.581487i
$31$	−4.73194	−	0.533162i	−0.849882	−	0.0957587i	−0.323730	−	0.946149i	$-0.604937\pi$
$31$	−4.73194	−	0.533162i	−0.849882	−	0.0957587i	−0.526152	+	0.850391i	$0.676366\pi$
$32$	2.78047	−	4.42510i	0.491523	−	0.782254i
$33$	5.25994	+	1.49298i	0.915639	+	0.259895i
$34$	1.41992	−	1.13235i	0.243514	−	0.194196i
$35$	0.0125182	−	0.0156973i	0.00211596	−	0.00265334i
$36$	−0.383860	−	3.18168i	−0.0639766	−	0.530280i
$37$	6.27435	+	2.19549i	1.03150	+	0.360936i	0.792363	−	0.610050i	$-0.208851\pi$
$37$	6.27435	+	2.19549i	1.03150	+	0.360936i	0.239134	+	0.970986i	$0.423136\pi$
$38$	−5.86691	+	2.82535i	−0.951738	+	0.458333i
$39$	−4.62210	−	8.28591i	−0.740128	−	1.32681i
$40$	5.33262	−	1.86596i	0.843161	−	0.295035i
$41$	1.30214	−	1.30214i	0.203361	−	0.203361i	−0.598078	−	0.801438i	$-0.704069\pi$
$41$	1.30214	−	1.30214i	0.203361	−	0.203361i	0.801438	+	0.598078i	$0.204069\pi$
$42$	0.00845141	−	0.0154348i	0.00130408	−	0.00238164i
$43$	0.496740	+	4.40869i	0.0757522	+	0.672319i	0.973002	+	0.230796i	$0.0741330\pi$
$43$	0.496740	+	4.40869i	0.0757522	+	0.672319i	−0.897250	+	0.441523i	$0.854438\pi$
$44$	−0.377572	−	3.35104i	−0.0569211	−	0.505188i
$45$	3.00646	−	4.86937i	0.448177	−	0.725883i
$46$	−1.32209	+	1.32209i	−0.194931	+	0.194931i
$47$	3.15765	−	1.10491i	0.460591	−	0.161168i	−0.0900020	−	0.995942i	$-0.528687\pi$
$47$	3.15765	−	1.10491i	0.460591	−	0.161168i	0.550593	+	0.834774i	$0.314402\pi$
$48$	1.09263	−	0.609497i	0.157707	−	0.0879733i
$49$	6.30668	−	3.03714i	0.900955	−	0.433877i
$50$	−1.24016	−	0.433949i	−0.175384	−	0.0613697i
$51$	−3.21061	+	0.558506i	−0.449575	+	0.0782066i
$52$	−3.64848	+	4.57504i	−0.505953	+	0.634445i
$53$	−5.78058	+	4.60986i	−0.794024	+	0.633213i	−0.934134	−	0.356923i	$-0.883826\pi$
$53$	−5.78058	+	4.60986i	−0.794024	+	0.633213i	0.140110	+	0.990136i	$0.455254\pi$
$54$	1.86461	−	4.65623i	0.253741	−	0.633632i
$55$	3.20380	−	5.09882i	0.432000	−	0.687525i
$56$	−0.0309765	−	0.00349021i	−0.00413941	−	0.000466400i
$57$	11.6686	+	0.609263i	1.54555	+	0.0806988i
$58$	0.836360	+	5.13042i	0.109819	+	0.673657i
$59$			13.5690i			1.76653i	0.468870	+	0.883267i	$0.344661\pi$
$59$			13.5690i			1.76653i	−0.468870	+	0.883267i	$0.655339\pi$
$60$	−3.48195	−	0.577525i	−0.449518	−	0.0745581i
$61$	7.66936	+	4.81898i	0.981961	+	0.617007i	0.924436	−	0.381337i	$-0.124536\pi$
$61$	7.66936	+	4.81898i	0.981961	+	0.617007i	0.0575249	+	0.998344i	$0.481679\pi$
$62$	−1.02282	+	4.48127i	−0.129898	+	0.569122i
$63$	−0.0266029	+	0.0170091i	−0.00335165	+	0.00214294i
$64$	−5.07355	−	4.04603i	−0.634194	−	0.505753i
$65$	−10.1874	+	2.32521i	−1.26359	+	0.288406i
$66$	2.00055	−	4.88399i	0.246250	−	0.601178i
$67$	−0.974487	−	2.02354i	−0.119052	−	0.247215i	0.832923	−	0.553389i	$-0.186666\pi$
$67$	−0.974487	−	2.02354i	−0.119052	−	0.247215i	−0.951976	+	0.306173i	$0.900951\pi$
$68$	1.06933	+	1.70183i	0.129675	+	0.206377i
$69$	3.22015	−	0.941443i	0.387661	−	0.113336i
$70$	−0.0137040	−	0.0137040i	−0.00163794	−	0.00163794i
$71$	9.47597	+	4.56339i	1.12459	+	0.541575i	0.901308	−	0.433179i	$-0.142608\pi$
$71$	9.47597	+	4.56339i	1.12459	+	0.541575i	0.223283	+	0.974754i	$0.428322\pi$
$72$	−8.88481	+	0.0698971i	−1.04709	+	0.00823746i
$73$	−9.08130	+	1.02322i	−1.06289	+	0.119758i	−0.626050	−	0.779783i	$-0.715329\pi$
$73$	−9.08130	+	1.02322i	−1.06289	+	0.119758i	−0.436836	+	0.899541i	$0.643901\pi$
$74$	2.78403	−	5.78109i	0.323637	−	0.672038i
$75$	1.57788	+	1.75173i	0.182198	+	0.202272i
$76$	−2.38015	−	6.80207i	−0.273022	−	0.780251i
$77$	−0.0281332	+	0.0176773i	−0.00320608	+	0.00201451i
$78$	−8.44740	+	3.53802i	−0.956480	+	0.400602i
$79$	−0.743076	+	2.12359i	−0.0836026	+	0.238923i	−0.978094	−	0.208162i	$-0.933252\pi$
$79$	−0.743076	+	2.12359i	−0.0836026	+	0.238923i	0.894492	+	0.447084i	$0.147538\pi$
$80$	−0.306615	−	1.34337i	−0.0342806	−	0.150193i
$81$	−6.94733	+	5.72142i	−0.771925	+	0.635713i
$82$	−1.10829	−	1.38975i	−0.122390	−	0.153472i
$83$	−8.26757	−	1.88702i	−0.907484	−	0.207127i	−0.256790	−	0.966467i	$-0.582665\pi$
$83$	−8.26757	−	1.88702i	−0.907484	−	0.207127i	−0.650694	+	0.759340i	$0.725522\pi$
$84$	0.0159268	+	0.0112067i	0.00173776	+	0.00122276i
$85$	−0.401848	+	3.56650i	−0.0435866	+	0.386842i
$86$	4.28251			0.461795
$87$	3.10499	−	8.79540i	0.332890	−	0.942966i
$88$	−9.34946			−0.996655
$89$	1.09875	−	9.75169i	0.116467	−	1.03368i	−0.790496	−	0.612467i	$-0.790177\pi$
$89$	1.09875	−	9.75169i	0.116467	−	1.03368i	0.906963	−	0.421210i	$-0.138394\pi$
$90$	−4.34579	−	3.41007i	−0.458086	−	0.359453i
$91$	0.0562099	+	0.0128295i	0.00589240	+	0.00134490i
$92$	−1.29011	−	1.61775i	−0.134504	−	0.168662i
$93$	5.47168	−	6.17150i	0.567387	−	0.639955i
$94$	−0.718566	−	3.14824i	−0.0741144	−	0.324716i
$95$	4.25023	−	12.1465i	0.436064	−	1.24620i
$96$	3.49689	+	8.34921i	0.356900	+	0.852137i
$97$	−2.33549	+	1.46749i	−0.237133	+	0.149001i	−0.645357	−	0.763881i	$-0.723291\pi$
$97$	−2.33549	+	1.46749i	−0.237133	+	0.149001i	0.408223	+	0.912882i	$0.366148\pi$
$98$	−2.23163	−	6.37763i	−0.225428	−	0.644237i
$99$	−7.35756	+	5.96275i	−0.739462	+	0.599279i
$100$	0.630892	−	1.31006i	0.0630892	−	0.131006i
$101$	−13.9657	+	1.57355i	−1.38963	+	0.156574i	−0.774862	−	0.632130i	$-0.782181\pi$
$101$	−13.9657	+	1.57355i	−1.38963	+	0.156574i	−0.614773	+	0.788704i	$0.710752\pi$
$102$	0.188730	+	3.13998i	0.0186871	+	0.310905i
$103$	0.960655	+	0.462627i	0.0946561	+	0.0455840i	0.480613	−	0.876933i	$-0.340414\pi$
$103$	0.960655	+	0.462627i	0.0946561	+	0.0455840i	−0.385957	+	0.922517i	$0.626129\pi$
$104$	11.4719	+	11.4719i	1.12491	+	1.12491i
$105$	0.00975847	+	0.0333783i	0.000952329	+	0.00325739i
$106$	3.79705	+	6.04296i	0.368802	+	0.586944i
$107$	2.05971	+	4.27703i	0.199119	+	0.413476i	0.976489	−	0.215569i	$-0.0691606\pi$
$107$	2.05971	+	4.27703i	0.199119	+	0.413476i	−0.777369	+	0.629045i	$0.783446\pi$
$108$	4.88953	+	2.62751i	0.470495	+	0.252832i
$109$	12.2855	−	2.80408i	1.17674	−	0.268582i	0.410938	−	0.911663i	$-0.365201\pi$
$109$	12.2855	−	2.80408i	1.17674	−	0.268582i	0.765798	+	0.643081i	$0.222344\pi$
$110$	−4.54454	−	3.62415i	−0.433305	−	0.345549i
$111$	−9.36376	+	6.69948i	−0.888769	+	0.635886i
$112$	−0.00169178	+	0.00741217i	−0.000159858	+	0.000700384i
$113$	15.0759	+	9.47284i	1.41822	+	0.891130i	0.999853	−	0.0171460i	$-0.00545801\pi$
$113$	15.0759	+	9.47284i	1.41822	+	0.891130i	0.418372	+	0.908276i	$0.362601\pi$
$114$	1.84550	−	11.1267i	0.172847	−	1.04211i
$115$		−	3.69494i		−	0.344555i
$116$	−5.74569	+	0.284060i	−0.533474	+	0.0263743i
$117$	16.3441	+	1.71145i	1.51102	+	0.158223i
$118$	13.0154	+	1.46649i	1.19817	+	0.135001i
$119$	0.0105359	−	0.0167677i	0.000965820	−	0.00153709i
$120$	−2.67196	+	9.41363i	−0.243916	+	0.859343i
$121$	0.808932	−	0.645102i	0.0735393	−	0.0586456i
$122$	5.45125	−	6.83565i	0.493533	−	0.618871i
$123$	0.546641	+	3.14240i	0.0492889	+	0.283340i
$124$	−4.80143	−	1.68009i	−0.431181	−	0.150877i
$125$	10.9327	−	5.26491i	0.977851	−	0.470908i
$126$	0.0134400	+	0.0273558i	0.00119733	+	0.00243705i
$127$	−20.0239	+	7.00667i	−1.77683	+	0.621741i	−0.999969	−	0.00792407i	$-0.997478\pi$
$127$	−20.0239	+	7.00667i	−1.77683	+	0.621741i	−0.776866	+	0.629666i	$0.783192\pi$
$128$	2.96159	−	2.96159i	0.261770	−	0.261770i
$129$	−6.74013	−	3.69060i	−0.593435	−	0.324939i
$130$	1.12933	+	10.0231i	0.0990487	+	0.879082i
$131$	−0.371859	−	3.30034i	−0.0324894	−	0.288352i	−0.999442	−	0.0333961i	$-0.989368\pi$
$131$	−0.371859	−	3.30034i	−0.0324894	−	0.288352i	0.966953	−	0.254956i	$-0.0820609\pi$
$132$	5.12317	+	2.80522i	0.445914	+	0.244163i
$133$	−0.0502072	+	0.0502072i	−0.00435352	+	0.00435352i
$134$	−2.04631	+	0.716033i	−0.176774	+	0.0618558i
$135$	3.90097	+	9.11214i	0.335742	+	0.784248i
$136$	5.02054	−	2.41777i	0.430508	−	0.207322i
$137$	−14.4370	−	5.05173i	−1.23344	−	0.431598i	−0.366688	−	0.930344i	$-0.619508\pi$
$137$	−14.4370	−	5.05173i	−1.23344	−	0.431598i	−0.866748	+	0.498746i	$0.833794\pi$
$138$	−0.555013	−	3.19052i	−0.0472458	−	0.271596i
$139$	8.97557	−	11.2550i	0.761298	−	0.954638i	−0.238566	−	0.971126i	$-0.576677\pi$
$139$	8.97557	−	11.2550i	0.761298	−	0.954638i	0.999864	+	0.0164886i	$0.00524871\pi$
$140$	0.0167687	−	0.0133726i	0.00141721	−	0.00113019i
$141$	−1.58218	+	5.57418i	−0.133243	+	0.469431i
$142$	5.40134	−	8.59618i	0.453270	−	0.721376i
$143$	17.1837	+	1.93613i	1.43697	+	0.161908i
$144$	−0.225681	+	2.15523i	−0.0188068	+	0.179603i
$145$	−8.33791	−	6.00047i	−0.692426	−	0.498312i
$146$			8.82139i			0.730063i
$147$	−1.98384	+	11.9608i	−0.163624	+	0.986507i
$148$	6.01265	+	3.77800i	0.494237	+	0.310549i
$149$	1.87094	−	8.19713i	0.153274	−	0.671535i	−0.838647	−	0.544675i	$-0.816653\pi$
$149$	1.87094	−	8.19713i	0.153274	−	0.671535i	0.991921	−	0.126860i	$-0.0404899\pi$
$150$	1.85079	−	1.32418i	0.151117	−	0.108119i
$151$	−1.02137	−	0.814517i	−0.0831181	−	0.0662844i	0.581049	−	0.813868i	$-0.302642\pi$
$151$	−1.02137	−	0.814517i	−0.0831181	−	0.0662844i	−0.664167	+	0.747584i	$0.731214\pi$
$152$	−19.4788	+	4.44591i	−1.57994	+	0.360611i
$153$	2.40895	−	5.10458i	0.194752	−	0.412681i
$154$	0.0139156	+	0.0288959i	0.00112135	+	0.00232850i
$155$	−4.83280	−	7.69135i	−0.388179	−	0.617784i
$156$	−2.84414	−	9.72821i	−0.227713	−	0.778880i
$157$	−1.96964	−	1.96964i	−0.157194	−	0.157194i	0.624128	−	0.781322i	$-0.285454\pi$
$157$	−1.96964	−	1.96964i	−0.157194	−	0.157194i	−0.781322	+	0.624128i	$0.785454\pi$
$158$	1.95664	+	0.942270i	0.155662	+	0.0749630i
$159$	−0.768335	−	12.7831i	−0.0609329	−	1.01377i
$160$	9.90656	−	1.11620i	0.783183	−	0.0882435i
$161$	−0.00884566	+	0.0183682i	−0.000697136	+	0.00144762i
$162$	4.73716	+	7.28224i	0.372186	+	0.572147i
$163$	4.19472	+	11.9878i	0.328556	+	0.938959i	0.983122	+	0.182954i	$0.0585658\pi$
$163$	4.19472	+	11.9878i	0.328556	+	0.938959i	−0.654566	+	0.756005i	$0.727148\pi$
$164$	1.66567	−	1.04661i	0.130067	−	0.0817265i
$165$	4.02930	+	9.62038i	0.313680	+	0.748945i
$166$	−2.70356	+	7.72633i	−0.209837	+	0.599680i
$167$	−4.29738	−	18.8280i	−0.332541	−	1.45696i	−0.814192	−	0.580595i	$-0.802820\pi$
$167$	−4.29738	−	18.8280i	−0.332541	−	1.45696i	0.481651	−	0.876363i	$-0.340037\pi$
$168$	0.0358190	−	0.0404002i	0.00276350	−	0.00311694i
$169$	−10.6035	−	13.2964i	−0.815653	−	1.02280i
$170$	3.37757	+	0.770908i	0.259048	+	0.0591259i
$171$	−12.4934	+	15.9216i	−0.955396	+	1.21756i
$172$	−0.530643	+	4.70959i	−0.0404611	+	0.359103i
$173$	17.2438			1.31102			0.655511	−	0.755186i	$-0.272453\pi$
$173$	17.2438			1.31102			0.655511	+	0.755186i	$0.272453\pi$
$174$	−8.10099	−	3.92889i	−0.614134	−	0.297848i
$175$	−0.0143265			−0.00108298
$176$	−0.255310	+	2.26594i	−0.0192447	+	0.170801i
$177$	−19.2208	−	13.5246i	−1.44473	−	1.01657i
$178$	−9.23509	−	2.10785i	−0.692199	−	0.157990i
$179$	6.70948	+	8.41342i	0.501490	+	0.628849i	0.966565	−	0.256423i	$-0.0825440\pi$
$179$	6.70948	+	8.41342i	0.501490	+	0.628849i	−0.465075	+	0.885271i	$0.653973\pi$
$180$	4.28862	−	4.35663i	0.319655	−	0.324724i
$181$	2.35283	+	10.3084i	0.174885	+	0.766219i	0.983942	+	0.178489i	$0.0571210\pi$
$181$	2.35283	+	10.3084i	0.174885	+	0.766219i	−0.809057	+	0.587730i	$0.800022\pi$
$182$	0.0183811	−	0.0525301i	0.00136250	−	0.00389379i
$183$	−14.4704	+	6.06064i	−1.06969	+	0.448016i
$184$	−4.85745	+	3.05214i	−0.358096	+	0.225006i
$185$	4.18806	+	11.9688i	0.307913	+	0.879964i
$186$	−5.32836	−	5.91544i	−0.390694	−	0.433741i
$187$	2.57703	−	5.35126i	0.188451	−	0.391323i
$188$	3.55124	−	0.400129i	0.259001	−	0.0291824i
$189$	0.00242198	−	0.0546370i	0.000176173	−	0.00397426i
$190$	−11.1916	−	5.38957i	−0.811921	−	0.391001i
$191$	−3.62170	−	3.62170i	−0.262057	−	0.262057i	0.563832	−	0.825889i	$-0.309326\pi$
$191$	−3.62170	−	3.62170i	−0.262057	−	0.262057i	−0.825889	+	0.563832i	$0.809326\pi$
$192$	10.7882	−	3.15404i	0.778573	−	0.227624i
$193$	−6.48683	−	10.3237i	−0.466932	−	0.743118i	0.527379	−	0.849630i	$-0.323175\pi$
$193$	−6.48683	−	10.3237i	−0.466932	−	0.743118i	−0.994311	+	0.106512i	$0.966032\pi$
$194$	1.15521	+	2.39881i	0.0829390	+	0.172225i
$195$	6.86031	−	16.7483i	0.491277	−	1.19937i
$196$	7.29016	−	1.66393i	0.520725	−	0.118852i
$197$	−7.20267	−	5.74393i	−0.513169	−	0.409238i	0.332373	−	0.943148i	$-0.392151\pi$
$197$	−7.20267	−	5.74393i	−0.513169	−	0.409238i	−0.845541	+	0.533910i	$0.820722\pi$
$198$	4.92430	+	7.70182i	0.349955	+	0.547344i
$199$	−4.61512	+	20.2202i	−0.327157	+	1.43337i	0.497365	+	0.867541i	$0.334301\pi$
$199$	−4.61512	+	20.2202i	−0.327157	+	1.43337i	−0.824522	+	0.565829i	$0.808556\pi$
$200$	−3.41343	−	2.14480i	−0.241366	−	0.151660i
$201$	3.83769	+	0.636529i	0.270690	+	0.0448973i
$202$			13.5660i			0.954497i
$203$	0.0270842	+	0.0497904i	0.00190094	+	0.00349460i
$204$	−3.47651	−	0.181522i	−0.243404	−	0.0127091i
$205$	3.49073	+	0.393311i	0.243803	+	0.0274700i
$206$	0.547577	−	0.871463i	0.0381515	−	0.0607177i
$207$	−1.87603	+	5.49978i	−0.130393	+	0.382261i
$208$	3.09359	−	2.46706i	0.214502	−	0.171060i
$209$	−13.2778	+	16.6498i	−0.918442	+	1.15169i
$210$	0.0330712	−	0.00575295i	0.00228213	−	0.000396991i
$211$	−18.0480	−	6.31528i	−1.24248	−	0.434762i	−0.372583	−	0.927999i	$-0.621528\pi$
$211$	−18.0480	−	6.31528i	−1.24248	−	0.434762i	−0.869895	+	0.493237i	$0.835813\pi$
$212$	−7.11609	+	3.42693i	−0.488735	+	0.235362i
$213$	−15.9091	+	8.87451i	−1.09007	+	0.608071i
$214$	4.32514	−	1.51343i	0.295660	−	0.103456i
$215$	−5.98433	+	5.98433i	−0.408128	+	0.408128i
$216$	8.75669	−	12.6552i	0.595818	−	0.861079i
$217$	0.00561165	+	0.0498048i	0.000380944	+	0.00338097i
$218$	−1.36191	−	12.0873i	−0.0922405	−	0.818657i
$219$	7.60214	−	13.8837i	0.513705	−	0.938177i
$220$	4.54868	−	4.54868i	0.306672	−	0.306672i
$221$	−9.72809	+	3.40401i	−0.654382	+	0.228978i
$222$	5.41415	+	9.70580i	0.363374	+	0.651410i
$223$	6.08242	−	2.92914i	0.407309	−	0.196150i	−0.218999	−	0.975725i	$-0.570279\pi$
$223$	6.08242	−	2.92914i	0.407309	−	0.196150i	0.626309	+	0.779575i	$0.284565\pi$
$224$	−0.0519195	−	0.0181674i	−0.00346902	−	0.00121386i
$225$	−4.05407	+	0.489112i	−0.270272	+	0.0326074i
$226$	10.7157	−	13.4371i	0.712799	−	0.893822i
$227$	4.06313	−	3.24024i	0.269680	−	0.215062i	−0.479307	−	0.877647i	$-0.659112\pi$
$227$	4.06313	−	3.24024i	0.269680	−	0.215062i	0.748987	+	0.662585i	$0.230541\pi$
$228$	12.0077	+	3.40825i	0.795226	+	0.225717i
$229$	−2.02600	+	3.22436i	−0.133882	+	0.213072i	−0.906936	−	0.421268i	$-0.861585\pi$
$229$	−2.02600	+	3.22436i	−0.133882	+	0.213072i	0.773054	+	0.634340i	$0.218728\pi$
$230$	−3.54419	−	0.399335i	−0.233697	−	0.0263313i
$231$	0.00300077	−	0.0574708i	0.000197436	−	0.00378130i
$232$	−1.00097	+	15.9178i	−0.0657170	+	1.04505i
$233$			8.32635i			0.545477i	0.962088	+	0.272739i	$0.0879294\pi$
$233$			8.32635i			0.545477i	−0.962088	+	0.272739i	$0.912071\pi$
$234$	3.40803	−	15.4924i	0.222790	−	1.01277i
$235$	5.40343	+	3.39520i	0.352481	+	0.221479i
$236$	−3.22546	+	14.1317i	−0.209960	+	0.919894i
$237$	−2.26748	−	3.16922i	−0.147288	−	0.205863i
$238$	−0.0149450	−	0.0119182i	−0.000968738	−	0.000772542i
$239$	15.8176	−	3.61027i	1.02316	−	0.233529i	0.322154	−	0.946687i	$-0.395593\pi$
$239$	15.8176	−	3.61027i	1.02316	−	0.233529i	0.701003	+	0.713158i	$0.252736\pi$
$240$	2.20853	+	0.904640i	0.142560	+	0.0583943i
$241$	2.12766	+	4.41813i	0.137055	+	0.284597i	0.958188	−	0.286140i	$-0.0923721\pi$
$241$	2.12766	+	4.41813i	0.137055	+	0.284597i	−0.821133	+	0.570736i	$0.806658\pi$
$242$	−0.531357	−	0.845650i	−0.0341569	−	0.0543604i
$243$	−1.17996	−	15.5437i	−0.0756946	−	0.997131i
$244$	6.84188	+	6.84188i	0.438006	+	0.438006i
$245$	12.0305	+	5.79357i	0.768599	+	0.370138i
$246$	3.07327	−	0.184721i	0.195945	−	0.0117774i
$247$	36.7214	−	4.13751i	2.33653	−	0.263263i
$248$	−6.11917	+	12.7066i	−0.388568	+	0.806869i
$249$	10.9135	−	9.83038i	0.691615	−	0.622975i
$250$	−3.86855	−	11.0557i	−0.244669	−	0.699223i
$251$	13.0995	−	8.23098i	0.826835	−	0.519535i	−0.0508877	−	0.998704i	$-0.516205\pi$
$251$	13.0995	−	8.23098i	0.826835	−	0.519535i	0.877722	+	0.479170i	$0.159062\pi$
$252$	−0.0317493	+	0.0113907i	−0.00200002	+	0.000717545i
$253$	−2.01954	+	5.77152i	−0.126967	+	0.362852i
$254$	4.55671	+	19.9642i	0.285913	+	1.25267i
$255$	−4.65151	−	4.12405i	−0.291289	−	0.258258i
$256$	−10.6127	−	13.3079i	−0.663296	−	0.831747i
$257$	−20.4103	−	4.65852i	−1.27316	−	0.290591i	−0.468043	−	0.883706i	$-0.655041\pi$
$257$	−20.4103	−	4.65852i	−1.27316	−	0.290591i	−0.805118	+	0.593115i	$0.797898\pi$
$258$	−4.26848	+	6.06628i	−0.265744	+	0.377670i
$259$	0.00783362	−	0.0695253i	0.000486757	−	0.00432009i
$260$	−11.1626			−0.692273
$261$	9.36407	+	13.1649i	0.579621	+	0.814886i
$262$	−3.20588			−0.198060
$263$	0.116740	−	1.03609i	0.00719847	−	0.0638882i	−0.989599	−	0.143851i	$-0.954051\pi$
$263$	0.116740	−	1.03609i	0.00719847	−	0.0638882i	0.996798	+	0.0799625i	$0.0254801\pi$
$264$	9.31883	−	13.2437i	0.573534	−	0.815095i
$265$	−13.7503	−	3.13842i	−0.844675	−	0.192792i
$266$	0.0427327	+	0.0535851i	0.00262011	+	0.00328551i
$267$	12.7184	+	11.2761i	0.778351	+	0.690089i
$268$	−0.533884	−	2.33910i	−0.0326121	−	0.142883i
$269$	−0.173542	+	0.495955i	−0.0105810	+	0.0302389i	−0.949053	−	0.315117i	$-0.897956\pi$
$269$	−0.173542	+	0.495955i	−0.0105810	+	0.0302389i	0.938472	+	0.345356i	$0.112242\pi$
$270$	9.16199	−	2.75702i	0.557581	−	0.167787i
$271$	14.3636	−	9.02526i	0.872528	−	0.548246i	−0.0197129	−	0.999806i	$-0.506275\pi$
$271$	14.3636	−	9.02526i	0.872528	−	0.548246i	0.892241	+	0.451560i	$0.149132\pi$
$272$	−0.448872	−	1.28280i	−0.0272169	−	0.0777813i
$273$	−0.0741991	+	0.0668352i	−0.00449074	+	0.00404505i
$274$	−6.40592	+	13.3020i	−0.386996	+	0.803605i
$275$	−4.26987	+	0.481099i	−0.257483	+	0.0290114i
$276$	3.57747	−	0.215026i	0.215339	−	0.0129430i
$277$	4.15853	+	2.00264i	0.249862	+	0.120327i	0.554623	−	0.832102i	$-0.312862\pi$
$277$	4.15853	+	2.00264i	0.249862	+	0.120327i	−0.304761	+	0.952429i	$0.598577\pi$
$278$	−9.82579	−	9.82579i	−0.589312	−	0.589312i
$279$	3.28832	+	13.9020i	0.196867	+	0.832294i
$280$	−0.0316367	−	0.0503495i	−0.00189066	−	0.00300896i
$281$	−9.61324	−	19.9621i	−0.573478	−	1.19084i	−0.962920	−	0.269788i	$-0.913046\pi$
$281$	−9.61324	−	19.9621i	−0.573478	−	1.19084i	0.389442	−	0.921051i	$-0.372668\pi$
$282$	5.17577	+	2.12006i	0.308213	+	0.126248i
$283$	2.75082	−	0.627856i	0.163519	−	0.0373222i	−0.139978	−	0.990155i	$-0.544703\pi$
$283$	2.75082	−	0.627856i	0.163519	−	0.0373222i	0.303497	+	0.952833i	$0.401846\pi$
$284$	8.78416	+	7.00514i	0.521244	+	0.415678i
$285$	12.9695	+	18.1272i	0.768244	+	1.07376i
$286$	3.71429	−	16.2734i	0.219630	−	0.962264i
$287$	−0.0164115	−	0.0103120i	−0.000968739	−	0.000608699i
$288$	−15.3123	−	3.36842i	−0.902286	−	0.198486i
$289$		−	13.4600i		−	0.791766i
$290$	−6.65680	+	7.34924i	−0.390900	+	0.431562i
$291$	0.249110	−	4.77096i	0.0146031	−	0.279679i
$292$	−9.70110	−	1.09305i	−0.567714	−	0.0639660i
$293$	−6.53890	+	10.4066i	−0.382006	+	0.607960i	−0.981280	−	0.192584i	$-0.938313\pi$
$293$	−6.53890	+	10.4066i	−0.382006	+	0.607960i	0.599274	+	0.800544i	$0.295456\pi$
$294$	11.2584	+	3.19558i	0.656602	+	0.186370i
$295$	−20.2368	+	16.1383i	−1.17823	+	0.939611i
$296$	12.2750	−	15.3923i	0.713468	−	0.894661i
$297$	−1.11292	−	16.3654i	−0.0645783	−	0.949615i
$298$	−7.66050	−	2.68053i	−0.443761	−	0.155279i
$299$	9.55970	−	4.60371i	0.552852	−	0.266239i
$300$	1.22691	+	2.19944i	0.0708355	+	0.126985i
$301$	0.0440757	−	0.0154227i	0.00254048	−	0.000888952i
$302$	−0.891672	+	0.891672i	−0.0513100	+	0.0513100i
$303$	11.6909	−	21.3511i	0.671626	−	1.22659i
$304$	0.545596	+	4.84230i	0.0312921	+	0.277725i
$305$	1.93455	+	17.1696i	0.110772	+	0.983127i
$306$	−4.63598	−	2.86236i	−0.265021	−	0.163630i
$307$	−3.00770	+	3.00770i	−0.171659	+	0.171659i	−0.787708	−	0.616049i	$-0.788732\pi$
$307$	−3.00770	+	3.00770i	−0.171659	+	0.171659i	0.616049	+	0.787708i	$0.288732\pi$
$308$	−0.0335019	+	0.0117228i	−0.00190895	+	0.000667969i
$309$	−1.61283	+	0.899679i	−0.0917507	+	0.0511810i
$310$	−7.89987	+	3.80438i	−0.448682	+	0.216074i
$311$	4.17180	+	1.45978i	0.236561	+	0.0827764i	0.445956	−	0.895055i	$-0.352864\pi$
$311$	4.17180	+	1.45978i	0.236561	+	0.0827764i	−0.209395	+	0.977831i	$0.567149\pi$
$312$	−27.6845	+	4.81590i	−1.56733	+	0.272646i
$313$	3.57654	−	4.48484i	0.202158	−	0.253498i	−0.670410	−	0.741991i	$-0.733882\pi$
$313$	3.57654	−	4.48484i	0.202158	−	0.253498i	0.872568	+	0.488493i	$0.162453\pi$
$314$	−2.10215	+	1.67641i	−0.118631	+	0.0946054i
$315$	−0.0570076	−	0.0194458i	−0.00321202	−	0.00109565i
$316$	−1.27868	+	2.03501i	−0.0719316	+	0.114479i
$317$	2.26036	+	0.254682i	0.126955	+	0.0143043i	0.175213	−	0.984531i	$-0.443939\pi$
$317$	2.26036	+	0.254682i	0.126955	+	0.0143043i	−0.0482585	+	0.998835i	$0.515367\pi$
$318$	−12.3446	−	0.644559i	−0.692251	−	0.0361451i
$319$	9.74419	+	13.9300i	0.545570	+	0.779931i
$320$		−	12.3789i		−	0.692000i
$321$	−8.11147	−	1.34539i	−0.452738	−	0.0750923i
$322$	0.0166628	+	0.0104699i	0.000928583	+	0.000583467i
$323$	2.82437	−	12.3744i	0.157152	−	0.688528i
$324$	−8.59544	+	4.30724i	−0.477525	+	0.239291i
$325$	5.82949	+	4.64886i	0.323362	+	0.257872i
$326$	11.9521	−	2.72799i	0.661965	−	0.151089i
$327$	−8.27319	+	20.1976i	−0.457509	+	1.11693i
$328$	−2.36640	−	4.91388i	−0.130662	−	0.271323i
$329$	−0.0187333	−	0.0298140i	−0.00103280	−	0.00164370i
$330$	9.66336	−	2.82518i	0.531950	−	0.155521i
$331$	15.8631	+	15.8631i	0.871916	+	0.871916i	0.992681	−	0.120765i	$-0.0385347\pi$
$331$	15.8631	+	15.8631i	0.871916	+	0.871916i	−0.120765	+	0.992681i	$0.538535\pi$
$332$	−8.16185	−	3.93054i	−0.447939	−	0.215716i
$333$	−0.156881	−	19.9415i	−0.00859701	−	1.09279i
$334$	−18.5243	+	2.08719i	−1.01361	+	0.114206i
$335$	1.85891	−	3.86006i	0.101563	−	0.210898i
$336$	−0.00881328	−	0.00978433i	−0.000480804	−	0.000533779i
$337$	−7.66711	−	21.9114i	−0.417654	−	1.19359i	−0.940095	−	0.340912i	$-0.889264\pi$
$337$	−7.66711	−	21.9114i	−0.417654	−	1.19359i	0.522441	−	0.852675i	$-0.325022\pi$
$338$	−13.8999	+	8.73388i	−0.756054	+	0.475060i
$339$	−28.4451	+	11.9136i	−1.54492	+	0.647059i
$340$	−1.26630	+	3.61887i	−0.0686747	+	0.196261i
$341$	3.34500	+	14.6554i	0.181142	+	0.793634i
$342$	13.9218	+	13.7045i	0.752805	+	0.741052i
$343$	−0.0918725	−	0.115204i	−0.00496065	−	0.00622046i
$344$	12.8104	+	2.92388i	0.690689	+	0.157645i
$345$	5.23397	+	3.68283i	0.281787	+	0.198277i
$346$	1.86364	−	16.5403i	0.100190	−	0.889212i
$347$	1.67185			0.0897495			0.0448748	−	0.998993i	$-0.485711\pi$
$347$	1.67185			0.0897495			0.0448748	+	0.998993i	$0.485711\pi$
$348$	5.32449	−	8.42204i	0.285423	−	0.451469i
$349$	−16.7492			−0.896564			−0.448282	−	0.893892i	$-0.647964\pi$
$349$	−16.7492			−0.896564			−0.448282	+	0.893892i	$0.647964\pi$
$350$	−0.00154835	+	0.0137420i	−8.27629e−5	+	0.000734541i
$351$	−18.7149	+	21.4460i	−0.998928	+	1.14471i
$352$	−16.0842	−	3.67111i	−0.857290	−	0.195671i
$353$	2.54703	+	3.19387i	0.135565	+	0.169993i	0.844980	−	0.534798i	$-0.179612\pi$
$353$	2.54703	+	3.19387i	0.135565	+	0.169993i	−0.709415	+	0.704791i	$0.751041\pi$
$354$	−15.0501	+	16.9750i	−0.799904	+	0.902210i
$355$	4.46444	+	19.5600i	0.236948	+	1.03814i
$356$	3.46237	−	9.89488i	0.183505	−	0.524428i
$357$	0.0132505	+	0.0316371i	0.000701293	+	0.00167441i
$358$	8.79531	−	5.52646i	0.464846	−	0.292082i
$359$	6.56170	+	18.7523i	0.346314	+	0.989707i	0.976920	+	0.213605i	$0.0685204\pi$
$359$	6.56170	+	18.7523i	0.346314	+	0.989707i	−0.630607	+	0.776103i	$0.717194\pi$
$360$	−10.6714	−	13.1677i	−0.562434	−	0.693998i
$361$	−11.5019	+	23.8840i	−0.605365	+	1.25705i
$362$	10.1421	−	1.14275i	0.533060	−	0.0600614i
$363$	0.107520	+	1.78886i	0.00564336	+	0.0938909i
$364$	0.0554911	+	0.0267231i	0.00290852	+	0.00140067i
$365$	−12.3269	−	12.3269i	−0.645220	−	0.645220i
$366$	4.24947	+	14.5351i	0.222124	+	0.759761i
$367$	−5.03322	−	8.01032i	−0.262732	−	0.418136i	0.689142	−	0.724627i	$-0.257988\pi$
$367$	−5.03322	−	8.01032i	−0.262732	−	0.418136i	−0.951873	+	0.306491i	$0.900845\pi$
$368$	0.607072	+	1.26060i	0.0316458	+	0.0657132i
$369$	−4.99613	−	2.35777i	−0.260088	−	0.122741i
$370$	11.9331	−	2.72366i	0.620374	−	0.141596i
$371$	0.0608419	+	0.0485198i	0.00315876	+	0.00251902i
$372$	7.16559	−	5.12675i	0.371519	−	0.265810i
$373$	1.78879	−	7.83720i	0.0926200	−	0.405795i	−0.907271	−	0.420546i	$-0.861838\pi$
$373$	1.78879	−	7.83720i	0.0926200	−	0.405795i	0.999891	+	0.0147512i	$0.00469563\pi$
$374$	−4.85443	−	3.05024i	−0.251016	−	0.157724i
$375$	−3.43901	+	20.7341i	−0.177590	+	1.07070i
$376$		−	9.90801i		−	0.510967i
$377$	5.13605	−	29.0485i	0.264520	−	1.49607i
$378$	−0.0521462	−	0.00822813i	−0.00268211	−	0.000423209i
$379$	17.0276	+	1.91855i	0.874648	+	0.0985491i	0.537863	−	0.843032i	$-0.319232\pi$
$379$	17.0276	+	1.91855i	0.874648	+	0.0985491i	0.336785	+	0.941582i	$0.390660\pi$
$380$	7.31379	−	11.6398i	0.375189	−	0.597111i
$381$	10.0332	−	35.3481i	0.514016	−	1.81094i
$382$	−3.86536	+	3.08252i	−0.197769	+	0.157715i
$383$	−4.63776	+	5.81556i	−0.236978	+	0.297161i	−0.886073	−	0.463547i	$-0.846577\pi$
$383$	−4.63776	+	5.81556i	−0.236978	+	0.297161i	0.649094	+	0.760708i	$0.275148\pi$
$384$	1.24328	+	7.14705i	0.0634456	+	0.364721i
$385$	−0.0598243	−	0.0209334i	−0.00304893	−	0.00106687i
$386$	−10.6036	+	5.10643i	−0.539710	+	0.259911i
$387$	11.9459	−	5.86905i	0.607243	−	0.298340i
$388$	−2.78117	+	0.973175i	−0.141193	+	0.0494055i
$389$	21.6166	−	21.6166i	1.09601	−	1.09601i	0.101132	−	0.994873i	$-0.467753\pi$
$389$	21.6166	−	21.6166i	1.09601	−	1.09601i	0.994873	−	0.101132i	$-0.0322465\pi$
$390$	−15.3236	−	8.39051i	−0.775938	−	0.424870i
$391$	−0.408043	−	3.62148i	−0.0206356	−	0.183146i
$392$	−2.32120	−	20.6012i	−0.117238	−	1.04052i
$393$	5.04565	+	2.76278i	0.254519	+	0.139364i
$394$	−6.28803	+	6.28803i	−0.316786	+	0.316786i
$395$	−4.05091	+	1.41747i	−0.203823	+	0.0713209i
$396$	−9.08005	+	4.46106i	−0.456290	+	0.224177i
$397$	19.8798	−	9.57359i	0.997737	−	0.480485i	0.137567	−	0.990492i	$-0.456072\pi$
$397$	19.8798	−	9.57359i	0.997737	−	0.480485i	0.860170	+	0.510008i	$0.170357\pi$
$398$	18.8965	+	6.61216i	0.947194	+	0.331437i
$399$	−0.0210770	−	0.121163i	−0.00105517	−	0.00606571i
$400$	−0.613026	+	0.768710i	−0.0306513	+	0.0384355i
$401$	6.83289	−	5.44905i	0.341218	−	0.272112i	−0.437855	−	0.899046i	$-0.644262\pi$
$401$	6.83289	−	5.44905i	0.341218	−	0.272112i	0.779073	+	0.626933i	$0.215690\pi$
$402$	1.02532	−	3.61233i	0.0511385	−	0.180167i
$403$	13.8780	−	22.0867i	0.691311	−	1.10021i
$404$	−14.9188	−	1.68095i	−0.742239	−	0.0836303i
$405$	−16.7958	−	3.55647i	−0.834588	−	0.176722i
$406$	0.0506862	−	0.0205981i	0.00251551	−	0.00102226i
$407$		−	20.9844i		−	1.04016i
$408$	−1.57927	+	9.52156i	−0.0781856	+	0.471388i
$409$	16.8140	+	10.5650i	0.831400	+	0.522403i	0.879200	−	0.476454i	$-0.158078\pi$
$409$	16.8140	+	10.5650i	0.831400	+	0.522403i	−0.0477995	+	0.998857i	$0.515221\pi$
$410$	0.754529	−	3.30581i	0.0372635	−	0.163262i
$411$	21.5456	−	15.4152i	1.06277	−	0.760375i
$412$	0.890520	+	0.710166i	0.0438728	+	0.0349874i
$413$	0.139236	−	0.0317797i	0.00685136	−	0.00156378i
$414$	5.07265	+	2.39388i	0.249307	+	0.117653i
$415$	−7.01876	−	14.5746i	−0.344537	−	0.715439i
$416$	15.2310	+	24.2400i	0.746760	+	1.18846i
$417$	6.99683	+	23.9323i	0.342636	+	1.17197i
$418$	14.5355	+	14.5355i	0.710955	+	0.710955i
$419$	−34.2011	−	16.4704i	−1.67083	−	0.804630i	−0.997889	−	0.0649360i	$-0.979316\pi$
$419$	−34.2011	−	16.4704i	−1.67083	−	0.804630i	−0.672943	−	0.739694i	$-0.734970\pi$
$420$	0.00222884	+	0.0370821i	0.000108756	+	0.00180942i
$421$	−13.0553	+	1.47098i	−0.636278	+	0.0716913i	−0.424210	−	0.905564i	$-0.639448\pi$
$421$	−13.0553	+	1.47098i	−0.636278	+	0.0716913i	−0.212068	+	0.977255i	$0.568020\pi$
$422$	−8.00819	+	16.6292i	−0.389833	+	0.809496i
$423$	−6.31897	−	7.79711i	−0.307239	−	0.379109i
$424$	7.23236	+	20.6689i	0.351234	+	1.00377i
$425$	2.16846	−	1.36253i	0.105186	−	0.0660925i
$426$	6.79306	+	16.2191i	0.329125	+	0.785820i
$427$	0.0314869	−	0.0899843i	0.00152376	−	0.00435465i
$428$	1.12843	+	4.94399i	0.0545449	+	0.238977i
$429$	−19.8699	+	22.4113i	−0.959330	+	1.08203i
$430$	5.09342	+	6.38695i	0.245627	+	0.308006i
$431$	21.1180	+	4.82004i	1.01722	+	0.232173i	0.698449	−	0.715660i	$-0.253874\pi$
$431$	21.1180	+	4.82004i	1.01722	+	0.232173i	0.318768	+	0.947833i	$0.396731\pi$
$432$	−2.82800	−	2.46786i	−0.136062	−	0.118735i
$433$	−1.77682	+	15.7697i	−0.0853884	+	0.757843i	0.875937	+	0.482426i	$0.160244\pi$
$433$	−1.77682	+	15.7697i	−0.0853884	+	0.757843i	−0.961325	+	0.275416i	$0.911184\pi$
$434$	0.0483793			0.00232228
$435$	16.8104	−	5.83004i	0.805998	−	0.279529i
$436$	13.4615			0.644689
$437$	−1.46304	+	12.9848i	−0.0699866	+	0.621148i
$438$	−12.4957	−	8.79249i	−0.597068	−	0.420121i
$439$	7.32542	+	1.67198i	0.349623	+	0.0797993i	0.393726	−	0.919228i	$-0.371186\pi$
$439$	7.32542	+	1.67198i	0.349623	+	0.0797993i	−0.0441029	+	0.999027i	$0.514043\pi$
$440$	−11.1198	−	13.9438i	−0.530116	−	0.664745i
$441$	−14.9654	−	14.7317i	−0.712636	−	0.701511i
$442$	2.21376	+	9.69910i	0.105298	+	0.461339i
$443$	−10.8730	+	31.0733i	−0.516593	+	1.47634i	0.329939	+	0.944002i	$0.392972\pi$
$443$	−10.8730	+	31.0733i	−0.516593	+	1.47634i	−0.846532	+	0.532337i	$0.821314\pi$
$444$	−11.3446	+	4.75144i	−0.538390	+	0.225493i
$445$	15.8505	−	9.95953i	0.751385	−	0.472127i
$446$	−2.15227	−	6.15084i	−0.101913	−	0.291251i
$447$	9.74662	+	10.8205i	0.461000	+	0.511793i
$448$	−0.0296349	+	0.0615376i	−0.00140012	+	0.00290738i
$449$	24.9954	−	2.81630i	1.17960	−	0.132909i	0.499692	−	0.866203i	$-0.333446\pi$
$449$	24.9954	−	2.81630i	1.17960	−	0.132909i	0.679912	+	0.733294i	$0.262018\pi$
$450$	0.0310082	+	3.94154i	0.00146174	+	0.185806i
$451$	−5.23757	−	2.52228i	−0.246628	−	0.118770i
$452$	13.4493	+	13.4493i	0.632603	+	0.632603i
$453$	2.17181	−	0.634950i	0.102040	−	0.0298325i
$454$	−2.66892	−	4.24756i	−0.125259	−	0.199348i
$455$	0.0477195	+	0.0990905i	0.00223712	+	0.00464543i
$456$	13.1173	−	32.0236i	0.614272	−	1.49964i
$457$	−11.7002	+	2.67049i	−0.547312	+	0.124920i	−0.487231	−	0.873273i	$-0.661993\pi$
$457$	−11.7002	+	2.67049i	−0.547312	+	0.124920i	−0.0600809	+	0.998194i	$0.519136\pi$
$458$	2.87385	+	2.29182i	0.134286	+	0.107090i
$459$	4.82970	+	8.50020i	0.225431	+	0.396755i
$460$	0.878317	−	3.84816i	0.0409517	−	0.179421i
$461$	−22.9487	−	14.4197i	−1.06883	−	0.671590i	−0.121741	−	0.992562i	$-0.538848\pi$
$461$	−22.9487	−	14.4197i	−1.06883	−	0.671590i	−0.947089	+	0.320972i	$0.895991\pi$
$462$	−0.0548018	−	0.00908956i	−0.00254961	−	0.000422885i
$463$		−	21.3059i		−	0.990167i	−0.868845	−	0.495084i	$-0.835137\pi$
$463$		−	21.3059i		−	0.990167i	0.868845	−	0.495084i	$-0.164863\pi$
$464$	3.83050	+	0.677270i	0.177827	+	0.0314414i
$465$	15.7119	+	0.820381i	0.728624	+	0.0380442i
$466$	7.98665	+	0.899879i	0.369974	+	0.0416861i
$467$	−4.01023	+	6.38225i	−0.185571	+	0.295335i	−0.926534	−	0.376211i	$-0.877227\pi$
$467$	−4.01023	+	6.38225i	−0.185571	+	0.295335i	0.740963	+	0.671546i	$0.234370\pi$
$468$	16.6151	+	5.66755i	0.768032	+	0.261983i
$469$	−0.0184819	+	0.0147388i	−0.000853416	+	0.000680576i
$470$	3.84067	−	4.81604i	0.177157	−	0.222148i
$471$	4.75323	−	0.826855i	0.219017	−	0.0380995i
$472$	37.9321	+	13.2730i	1.74597	+	0.610940i
$473$	12.6184	−	6.07671i	0.580195	−	0.279407i
$474$	−3.28498	+	1.83245i	−0.150884	+	0.0841672i
$475$	−8.66715	+	3.03277i	−0.397676	+	0.139153i
$476$	0.0149586	−	0.0149586i	0.000685625	−	0.000685625i
$477$	18.8734	+	11.6529i	0.864153	+	0.533547i
$478$	−1.75347	−	15.5625i	−0.0802019	−	0.711812i
$479$	4.26564	+	37.8586i	0.194902	+	1.72980i	0.586746	+	0.809771i	$0.300409\pi$
$479$	4.26564	+	37.8586i	0.194902	+	1.72980i	−0.391844	+	0.920032i	$0.628163\pi$
$480$	−8.29298	+	15.1454i	−0.378521	+	0.691291i
$481$	−25.7481	+	25.7481i	−1.17401	+	1.17401i
$482$	4.46783	−	1.56336i	0.203504	−	0.0712092i
$483$	−0.0172023	−	0.0308381i	−0.000782733	−	0.00140318i
$484$	0.995823	−	0.479563i	0.0452647	−	0.0217983i
$485$	−4.96634	−	1.73780i	−0.225510	−	0.0789093i
$486$	−15.0371	−	0.548085i	−0.682097	−	0.0248616i
$487$	−2.55768	+	3.20723i	−0.115900	+	0.145334i	−0.836397	−	0.548124i	$-0.815342\pi$
$487$	−2.55768	+	3.20723i	−0.115900	+	0.145334i	0.720497	+	0.693458i	$0.243914\pi$
$488$	20.9735	−	16.7258i	0.949425	−	0.757141i
$489$	−21.1620	−	6.00663i	−0.956980	−	0.271629i
$490$	6.85741	−	10.9135i	0.309786	−	0.493022i
$491$	−20.3753	−	2.29574i	−0.919522	−	0.103605i	−0.360501	−	0.932759i	$-0.617394\pi$
$491$	−20.3753	−	2.29574i	−0.919522	−	0.103605i	−0.559021	+	0.829153i	$0.688823\pi$
$492$	−0.177665	+	3.40265i	−0.00800976	+	0.153403i
$493$	−8.83481	−	4.96040i	−0.397900	−	0.223405i
$494$		−	35.6704i		−	1.60489i
$495$	−17.6436	−	3.88126i	−0.793021	−	0.174450i
$496$	2.91247	+	1.83003i	0.130774	+	0.0821707i
$497$	0.0246330	−	0.107924i	0.00110494	−	0.00484105i
$498$	−8.24983	−	11.5307i	−0.369684	−	0.516702i
$499$	−18.1915	−	14.5072i	−0.814362	−	0.649432i	0.125077	−	0.992147i	$-0.460082\pi$
$499$	−18.1915	−	14.5072i	−0.814362	−	0.649432i	−0.939439	+	0.342715i	$0.888654\pi$
$500$	12.6376	−	2.88444i	0.565169	−	0.128996i
$501$	30.9537	+	12.6790i	1.38291	+	0.566457i
$502$	−6.47942	−	13.4547i	−0.289191	−	0.600511i
$503$	−5.19094	−	8.26133i	−0.231452	−	0.368354i	0.710724	−	0.703471i	$-0.248367\pi$
$503$	−5.19094	−	8.26133i	−0.231452	−	0.368354i	−0.942177	+	0.335116i	$0.891224\pi$
$504$	0.0215262	+	0.0910063i	0.000958853	+	0.00405374i
$505$	−18.9569	−	18.9569i	−0.843571	−	0.843571i
$506$	5.31779	+	2.56091i	0.236404	+	0.113846i
$507$	29.4034	−	1.76731i	1.30585	−	0.0784888i
$508$	−22.5198	+	2.53737i	−0.999154	+	0.112578i
$509$	−11.2858	+	23.4351i	−0.500232	+	1.03874i	0.486089	+	0.873909i	$0.338423\pi$
$509$	−11.2858	+	23.4351i	−0.500232	+	1.03874i	−0.986321	+	0.164834i	$0.947291\pi$
$510$	−4.45851	+	4.01602i	−0.197426	+	0.177833i
$511$	0.0317687	+	0.0907898i	0.00140537	+	0.00401631i
$512$	−6.81930	+	4.28485i	−0.301373	+	0.189365i
$513$	−10.1009	−	33.5667i	−0.445963	−	1.48201i
$514$	−6.67434	+	19.0742i	−0.294392	+	0.841325i
$515$	0.452595	+	1.98295i	0.0199437	+	0.0873792i
$516$	−6.14234	−	5.44583i	−0.270401	−	0.239739i
$517$	−6.58448	−	8.25668i	−0.289585	−	0.363128i
$518$	−0.0658422	−	0.0150280i	−0.00289294	−	0.000660294i
$519$	−17.1873	+	24.4263i	−0.754439	+	1.07219i
$520$	−3.46506	+	30.7533i	−0.151953	+	1.34862i
$521$	−44.6310			−1.95532			−0.977660	−	0.210194i	$-0.932591\pi$
$521$	−44.6310			−1.95532			−0.977660	+	0.210194i	$0.932591\pi$
$522$	13.6398	−	7.55923i	0.596999	−	0.330858i
$523$	−34.1462			−1.49311			−0.746554	−	0.665325i	$-0.768293\pi$
$523$	−34.1462			−1.49311			−0.746554	+	0.665325i	$0.768293\pi$
$524$	0.397238	−	3.52559i	0.0173534	−	0.154016i
$525$	0.0142796	−	0.0202938i	0.000623211	−	0.000885695i
$526$	−0.981205	−	0.223954i	−0.0427826	−	0.00976485i
$527$	−5.58610	−	7.00475i	−0.243334	−	0.305132i
$528$	−2.95528	−	2.62017i	−0.128612	−	0.114028i
$529$	−4.28311	−	18.7655i	−0.186222	−	0.815892i
$530$	−4.49646	+	12.8501i	−0.195314	+	0.558175i
$531$	38.3157	−	13.7465i	1.66276	−	0.596548i
$532$	−0.0642239	+	0.0403545i	−0.00278446	+	0.00174959i
$533$	3.33169	+	9.52141i	0.144311	+	0.412418i
$534$	12.1907	−	10.9808i	0.527541	−	0.475185i
$535$	−3.92905	+	8.15875i	−0.169867	+	0.352733i
$536$	−6.61003	+	0.744772i	−0.285510	+	0.0321692i
$537$	−18.6053	+	1.11828i	−0.802878	+	0.0482574i
$538$	0.456965	+	0.220063i	0.0197012	+	0.00948758i
$539$	−15.6251	−	15.6251i	−0.673020	−	0.673020i
$540$	1.89671	+	10.4173i	0.0816212	+	0.448289i
$541$	−10.5017	−	16.7133i	−0.451503	−	0.718563i	0.540968	−	0.841043i	$-0.318058\pi$
$541$	−10.5017	−	16.7133i	−0.451503	−	0.718563i	−0.992471	+	0.122480i	$0.960915\pi$
$542$	−7.10469	−	14.7530i	−0.305172	−	0.633697i
$543$	−16.9473	−	6.94181i	−0.727276	−	0.297902i
$544$	9.58636	−	2.18802i	0.411012	−	0.0938108i
$545$	18.7938	+	14.9876i	0.805038	+	0.641997i
$546$	0.0560893	+	0.0783953i	0.00240040	+	0.00335501i
$547$	2.08842	−	9.14998i	0.0892945	−	0.391225i	−0.910455	−	0.413608i	$-0.864268\pi$
$547$	2.08842	−	9.14998i	0.0892945	−	0.391225i	0.999749	+	0.0223834i	$0.00712546\pi$
$548$	−13.8348	−	8.69300i	−0.590995	−	0.371347i
$549$	5.83798	−	26.5385i	0.249159	−	1.13264i
$550$			4.14767i			0.176857i
$551$	26.9253	+	24.3884i	1.14706	+	1.03898i
$552$	0.518108	−	9.92283i	0.0220522	−	0.422344i
$553$	0.0235312	+	0.00265133i	0.00100065	+	0.000112746i
$554$	2.37038	−	3.77244i	0.100708	−	0.160275i
$555$	−21.1284	−	5.99709i	−0.896852	−	0.254562i
$556$	12.0232	−	9.58816i	0.509896	−	0.406629i
$557$	−11.8992	+	14.9211i	−0.504185	+	0.632228i	−0.967168	−	0.254139i	$-0.918208\pi$
$557$	−11.8992	+	14.9211i	−0.504185	+	0.632228i	0.462983	+	0.886367i	$0.346779\pi$
$558$	13.6903	−	1.65169i	0.579555	−	0.0699215i
$559$	−22.9391	−	8.02674i	−0.970220	−	0.339495i
$560$	−0.0130666	+	0.00629256i	−0.000552167	+	0.000265909i
$561$	5.01160	+	8.98416i	0.211590	+	0.379311i
$562$	−20.1867	+	7.06362i	−0.851523	+	0.297961i
$563$	−22.5711	+	22.5711i	−0.951260	+	0.951260i	−0.998866	−	0.0476064i	$-0.984841\pi$
$563$	−22.5711	+	22.5711i	−0.951260	+	0.951260i	0.0476064	+	0.998866i	$0.484841\pi$
$564$	−2.97281	+	5.42923i	−0.125178	+	0.228612i
$565$	3.80281	+	33.7508i	0.159985	+	1.41991i
$566$	−0.304943	−	2.70645i	−0.0128177	−	0.113760i
$567$	0.0749806	+	0.0578888i	0.00314889	+	0.00243110i
$568$	22.0262	−	22.0262i	0.924199	−	0.924199i
$569$	9.54511	−	3.33998i	0.400152	−	0.140019i	−0.122698	−	0.992444i	$-0.539155\pi$
$569$	9.54511	−	3.33998i	0.400152	−	0.140019i	0.522850	+	0.852425i	$0.324869\pi$
$570$	18.7894	−	10.4812i	0.787000	−	0.439009i
$571$	−7.86857	+	3.78930i	−0.329289	+	0.158577i	−0.591222	−	0.806509i	$-0.701354\pi$
$571$	−7.86857	+	3.78930i	−0.329289	+	0.158577i	0.261933	+	0.965086i	$0.415640\pi$
$572$	17.4360	+	6.10111i	0.729035	+	0.255100i
$573$	8.74005	−	1.52039i	0.365121	−	0.0635152i
$574$	−0.0116650	+	0.0146274i	−0.000486887	+	0.000610537i
$575$	−2.06133	+	1.64385i	−0.0859633	+	0.0685535i
$576$	−6.28510	+	18.4255i	−0.261879	+	0.767729i
$577$	19.8326	−	31.5634i	0.825643	−	1.31400i	−0.121305	−	0.992615i	$-0.538708\pi$
$577$	19.8326	−	31.5634i	0.825643	−	1.31400i	0.946948	−	0.321387i	$-0.104149\pi$
$578$	−12.9109	−	1.45471i	−0.537022	−	0.0605078i
$579$	21.0894	+	1.10116i	0.876445	+	0.0457625i
$580$	−7.25730	−	8.23129i	−0.301343	−	0.341786i
$581$			0.0892559i			0.00370296i
$582$	−4.54939	−	0.754574i	−0.188578	−	0.0312781i
$583$	19.7627	+	12.4177i	0.818488	+	0.514290i
$584$	−6.02280	+	26.3876i	−0.249225	+	1.09193i
$585$	16.8865	+	26.4112i	0.698171	+	1.09197i
$586$	9.27533	+	7.39683i	0.383160	+	0.305560i
$587$	21.6451	−	4.94034i	0.893387	−	0.203910i	0.248904	−	0.968528i	$-0.419930\pi$
$587$	21.6451	−	4.94034i	0.893387	−	0.203910i	0.644483	+	0.764618i	$0.277073\pi$
$588$	−4.90928	+	11.9852i	−0.202455	+	0.494260i
$589$	13.9381	+	28.9427i	0.574307	+	1.19256i
$590$	13.2928	+	21.1554i	0.547257	+	0.870954i
$591$	15.3155	−	4.47763i	0.629995	−	0.184185i
$592$	−3.39529	−	3.39529i	−0.139546	−	0.139546i
$593$	17.9106	+	8.62531i	0.735501	+	0.354199i	0.763845	−	0.645399i	$-0.223309\pi$
$593$	17.9106	+	8.62531i	0.735501	+	0.354199i	−0.0283438	+	0.999598i	$0.509023\pi$
$594$	−15.8180	−	0.701188i	−0.649020	−	0.0287701i
$595$	0.0375383	−	0.00422955i	0.00153892	−	0.000173394i
$596$	3.89705	−	8.09231i	0.159629	−	0.331474i
$597$	−24.0424	−	26.6914i	−0.983989	−	1.09241i
$598$	−3.38271	−	9.66724i	−0.138329	−	0.395323i
$599$	−4.39216	+	2.75978i	−0.179459	+	0.112762i	−0.618766	−	0.785576i	$-0.712367\pi$
$599$	−4.39216	+	2.75978i	−0.179459	+	0.112762i	0.439307	+	0.898337i	$0.355224\pi$
$600$	6.44040	−	2.69743i	0.262928	−	0.110122i
$601$	−5.11864	+	14.6282i	−0.208794	+	0.596698i	−0.999888	−	0.0149966i	$-0.995226\pi$
$601$	−5.11864	+	14.6282i	−0.208794	+	0.596698i	0.791094	+	0.611695i	$0.209512\pi$
$602$	−0.0100300	−	0.0439443i	−0.000408792	−	0.00179104i
$603$	−4.72678	+	4.80174i	−0.192489	+	0.195542i
$604$	−0.870108	−	1.09108i	−0.0354042	−	0.0443955i
$605$	1.92421	+	0.439189i	0.0782304	+	0.0178556i
$606$	−19.2165	−	13.5215i	−0.780617	−	0.549274i
$607$	1.53053	−	13.5838i	0.0621221	−	0.551349i	−0.923647	−	0.383244i	$-0.874807\pi$
$607$	1.53053	−	13.5838i	0.0621221	−	0.551349i	0.985769	−	0.168105i	$-0.0537647\pi$
$608$	−35.2558			−1.42981
$609$	−0.0975247	−	0.0112618i	−0.00395190	−	0.000456353i
$610$	16.6782			0.675279
$611$	−2.05180	+	18.2102i	−0.0830070	+	0.736708i
$612$	3.72225	−	4.74363i	0.150463	−	0.191750i
$613$	42.3898	+	9.67520i	1.71211	+	0.390777i	0.962538	−	0.271148i	$-0.0874031\pi$
$613$	42.3898	+	9.67520i	1.71211	+	0.390777i	0.749570	+	0.661925i	$0.230260\pi$
$614$	2.55993	+	3.21005i	0.103310	+	0.129547i
$615$	−4.03643	+	4.55268i	−0.162765	+	0.183582i
$616$	0.0218972	+	0.0959379i	0.000882264	+	0.00386545i
$617$	−7.07061	+	20.2066i	−0.284652	+	0.813489i	0.709422	+	0.704784i	$0.248956\pi$
$617$	−7.07061	+	20.2066i	−0.284652	+	0.813489i	−0.994074	+	0.108705i	$0.965330\pi$
$618$	0.688666	+	1.64426i	0.0277022	+	0.0661420i
$619$	−15.4524	+	9.70941i	−0.621086	+	0.390254i	−0.805501	−	0.592594i	$-0.798104\pi$
$619$	−15.4524	+	9.70941i	−0.621086	+	0.390254i	0.184415	+	0.982848i	$0.440961\pi$
$620$	−3.20490	−	9.15908i	−0.128712	−	0.367838i
$621$	−5.92070	−	8.13920i	−0.237589	−	0.326615i
$622$	1.85109	−	3.84384i	0.0742221	−	0.154124i
$623$	−0.102639	+	0.0115646i	−0.00411213	+	0.000463326i
$624$	0.411190	+	6.84113i	0.0164608	+	0.273864i
$625$	14.7232	+	7.09030i	0.588926	+	0.283612i
$626$	−3.91533	−	3.91533i	−0.156488	−	0.156488i
$627$	−10.3506	−	35.4035i	−0.413362	−	1.41388i
$628$	−1.58312	−	2.51951i	−0.0631732	−	0.100540i
$629$	5.42656	+	11.2684i	0.216371	+	0.449299i
$630$	−0.0248136	+	0.0525802i	−0.000988599	+	0.00209485i
$631$	7.85535	−	1.79293i	0.312716	−	0.0713755i	−0.0632823	−	0.997996i	$-0.520157\pi$
$631$	7.85535	−	1.79293i	0.312716	−	0.0713755i	0.375999	+	0.926620i	$0.377300\pi$
$632$	5.20962	+	4.15453i	0.207228	+	0.165258i
$633$	26.9347	−	19.2709i	1.07056	−	0.765949i
$634$	0.488582	−	2.14062i	0.0194041	−	0.0850148i
$635$	−34.2653	−	21.5303i	−1.35978	−	0.854404i
$636$	2.23845	−	13.4958i	0.0887603	−	0.535144i
$637$			38.3442i			1.51925i
$638$	14.4148	−	7.84115i	0.570688	−	0.310434i
$639$	3.28601	−	31.3810i	0.129992	−	1.24141i
$640$	7.93929	+	0.894544i	0.313828	+	0.0353599i
$641$	−4.64897	+	7.39879i	−0.183623	+	0.292235i	−0.925833	−	0.377933i	$-0.876635\pi$
$641$	−4.64897	+	7.39879i	−0.183623	+	0.292235i	0.742210	+	0.670168i	$0.233778\pi$
$642$	−2.16716	+	7.63514i	−0.0855309	+	0.301335i
$643$	0.523650	−	0.417597i	0.0206508	−	0.0164684i	−0.613110	−	0.789998i	$-0.710082\pi$
$643$	0.523650	−	0.417597i	0.0206508	−	0.0164684i	0.633761	+	0.773529i	$0.281510\pi$
$644$	−0.0135787	+	0.0170272i	−0.000535077	+	0.000670966i
$645$	−2.51222	−	14.4417i	−0.0989187	−	0.568640i
$646$	−11.5643	−	4.04651i	−0.454990	−	0.159208i
$647$	−4.91969	+	2.36920i	−0.193413	+	0.0931428i	−0.528084	−	0.849192i	$-0.677089\pi$
$647$	−4.91969	+	2.36920i	−0.193413	+	0.0931428i	0.334671	+	0.942335i	$0.391375\pi$
$648$	9.19842	+	25.0178i	0.361348	+	0.982793i
$649$	40.4308	−	14.1474i	1.58705	−	0.555332i
$650$	5.08923	−	5.08923i	0.199616	−	0.199616i
$651$	−0.0761430	−	0.0416926i	−0.00298428	−	0.00163406i
$652$	1.51906	+	13.4820i	0.0594911	+	0.527998i
$653$	−2.66777	−	23.6772i	−0.104398	−	0.926559i	−0.931310	−	0.364227i	$-0.881333\pi$
$653$	−2.66777	−	23.6772i	−0.104398	−	0.926559i	0.826912	−	0.562331i	$-0.190095\pi$
$654$	18.4794	+	10.1185i	0.722604	+	0.395666i
$655$	4.47986	−	4.47986i	0.175042	−	0.175042i
$656$	−1.25555	+	0.439336i	−0.0490209	+	0.0171532i
$657$	12.0894	+	24.6069i	0.471654	+	0.960006i
$658$	−0.0306222	+	0.0147469i	−0.00119378	+	0.000574894i
$659$	−11.8923	−	4.16129i	−0.463257	−	0.162101i	0.0885512	−	0.996072i	$-0.471776\pi$
$659$	−11.8923	−	4.16129i	−0.463257	−	0.162101i	−0.551808	+	0.833971i	$0.686062\pi$
$660$	1.90954	+	10.9771i	0.0743287	+	0.427283i
$661$	−7.23040	+	9.06664i	−0.281230	+	0.352651i	−0.902304	−	0.431101i	$-0.858125\pi$
$661$	−7.23040	+	9.06664i	−0.281230	+	0.352651i	0.621074	+	0.783752i	$0.286697\pi$
$662$	16.9304	−	13.5015i	0.658018	−	0.524751i
$663$	4.87437	−	17.1729i	0.189305	−	0.666942i
$664$	−13.3624	+	21.2661i	−0.518561	+	0.825285i
$665$	−0.134593	−	0.0151650i	−0.00521931	−	0.000588074i
$666$	−19.1449	−	2.00472i	−0.741850	−	0.0776814i
$667$	9.60999	+	4.05625i	0.372100	+	0.157059i
$668$		−	20.6303i		−	0.798211i
$669$	−1.91330	+	11.5354i	−0.0739724	+	0.445986i
$670$	−3.50167	−	2.20025i	−0.135281	−	0.0850030i
$671$	6.36259	−	27.8763i	0.245625	−	1.07615i
$672$	0.0774840	−	0.0554373i	0.00298901	−	0.00213854i
$673$	20.5691	+	16.4033i	0.792879	+	0.632300i	0.933830	−	0.357717i	$-0.116445\pi$
$673$	20.5691	+	16.4033i	0.792879	+	0.632300i	−0.140951	+	0.990017i	$0.545016\pi$
$674$	−21.8460	+	4.98622i	−0.841478	+	0.192062i
$675$	3.34795	−	6.23020i	0.128863	−	0.239801i
$676$	−7.88254	−	16.3683i	−0.303175	−	0.629549i
$677$	−3.21411	−	5.11523i	−0.123528	−	0.196594i	0.779235	−	0.626732i	$-0.215608\pi$
$677$	−3.21411	−	5.11523i	−0.123528	−	0.196594i	−0.902763	+	0.430138i	$0.858465\pi$
$678$	8.35335	+	28.5721i	0.320808	+	1.09731i
$679$	0.0205283	+	0.0205283i	0.000787804	+	0.000787804i
$680$	9.57706	+	4.61207i	0.367263	+	0.176865i
$681$	0.540058	+	8.98516i	0.0206951	+	0.344312i
$682$	14.4190	−	1.62463i	0.552132	−	0.0622103i
$683$	13.5951	−	28.2305i	0.520202	−	1.08021i	−0.461030	−	0.887384i	$-0.652520\pi$
$683$	13.5951	−	28.2305i	0.520202	−	1.08021i	0.981233	−	0.192827i	$-0.0617656\pi$
$684$	−16.7962	+	13.6120i	−0.642218	+	0.520470i
$685$	−9.63655	−	27.5397i	−0.368194	−	1.05224i
$686$	−0.120434	+	0.0756734i	−0.00459818	+	0.00288923i
$687$	−2.54803	−	6.08368i	−0.0972132	−	0.232107i
$688$	1.05845	−	3.02488i	0.0403531	−	0.115323i
$689$	−9.01236	−	39.4857i	−0.343343	−	1.50429i
$690$	4.09825	−	4.62241i	0.156018	−	0.175972i
$691$	−3.06844	−	3.84770i	−0.116729	−	0.146373i	0.720034	−	0.693939i	$-0.244126\pi$
$691$	−3.06844	−	3.84770i	−0.116729	−	0.146373i	−0.836763	+	0.547565i	$0.815555\pi$
$692$	17.9589	+	4.09899i	0.682693	+	0.155820i
$693$	0.0784178	+	0.0615331i	0.00297885	+	0.00233745i
$694$	0.180687	−	1.60364i	0.00685878	−	0.0608734i
$695$	27.4609			1.04165
$696$	−21.5502	−	17.2835i	−0.816859	−	0.655131i
$697$	3.46477			0.131238
$698$	−1.81019	+	16.0659i	−0.0685167	+	0.608102i
$699$	−11.7945	−	8.29907i	−0.446108	−	0.313900i
$700$	−0.0149206	−	0.00340552i	−0.000563945	−	0.000128717i
$701$	−7.95466	−	9.97483i	−0.300443	−	0.376744i	0.608578	−	0.793494i	$-0.291740\pi$
$701$	−7.95466	−	9.97483i	−0.300443	−	0.376744i	−0.909021	+	0.416750i	$0.863169\pi$
$702$	18.5485	+	20.2692i	0.700066	+	0.765011i
$703$	−9.97864	−	43.7193i	−0.376351	−	1.64890i
$704$	−6.76591	+	19.3359i	−0.255000	+	0.728748i
$705$	−10.1951	+	4.27001i	−0.383970	+	0.160818i
$706$	3.33884	−	2.09793i	0.125659	−	0.0789568i
$707$	0.0488555	+	0.139621i	0.00183740	+	0.00525099i
$708$	−16.8030	−	18.6543i	−0.631494	−	0.701073i
$709$	−0.857294	+	1.78019i	−0.0321964	+	0.0668564i	−0.916447	−	0.400157i	$-0.868956\pi$
$709$	−0.857294	+	1.78019i	−0.0321964	+	0.0668564i	0.884250	+	0.467013i	$0.154670\pi$
$710$	19.2445	−	2.16833i	0.722232	−	0.0813760i
$711$	6.74932	−	0.0530972i	0.253119	−	0.00199130i
$712$	−26.1860	−	12.6105i	−0.981362	−	0.472599i
$713$	6.52213	+	6.52213i	0.244256	+	0.244256i
$714$	0.0317784	−	0.00929073i	0.00118928	−	0.000347697i
$715$	17.5499	+	27.9305i	0.656329	+	1.04454i
$716$	4.98776	+	10.3572i	0.186402	+	0.387067i
$717$	−10.6518	+	26.0045i	−0.397798	+	0.971156i
$718$	18.6964	−	4.26733i	0.697743	−	0.159255i
$719$	13.3016	+	10.6077i	0.496067	+	0.395600i	0.839316	−	0.543645i	$-0.182956\pi$
$719$	13.3016	+	10.6077i	0.496067	+	0.395600i	−0.343249	+	0.939244i	$0.611527\pi$
$720$	−3.48274	+	2.22675i	−0.129794	+	0.0829862i
$721$	0.00249724	−	0.0109411i	9.30020e−5	−	0.000407468i
$722$	21.6665	+	13.6140i	0.806344	+	0.506659i
$723$	−8.37908	−	1.38978i	−0.311621	−	0.0516863i
$724$			11.2952i			0.419782i
$725$	0.361947	+	7.32112i	0.0134424	+	0.271899i
$726$	1.72750	+	0.0901993i	0.0641135	+	0.00334761i
$727$	−23.1590	−	2.60939i	−0.858918	−	0.0967769i	−0.328491	−	0.944507i	$-0.606540\pi$
$727$	−23.1590	−	2.60939i	−0.858918	−	0.0967769i	−0.530428	+	0.847730i	$0.677969\pi$
$728$	0.0908487	−	0.144585i	0.00336708	−	0.00535867i
$729$	23.1942	+	13.8214i	0.859044	+	0.511903i
$730$	−13.1562	+	10.4917i	−0.486934	+	0.388317i
$731$	−5.20450	+	6.52623i	−0.192495	+	0.241381i
$732$	−16.5112	+	2.87222i	−0.610270	+	0.106160i
$733$	−8.94489	−	3.12995i	−0.330387	−	0.115607i	0.159988	−	0.987119i	$-0.448854\pi$
$733$	−8.94489	−	3.12995i	−0.330387	−	0.115607i	−0.490375	+	0.871512i	$0.663140\pi$
$734$	−8.22749	+	3.96215i	−0.303682	+	0.146246i
$735$	−20.1978	+	11.2669i	−0.745007	+	0.415585i
$736$	−9.55487	+	3.34339i	−0.352197	+	0.123239i
$737$	−5.01341	+	5.01341i	−0.184671	+	0.184671i
$738$	−2.80154	+	4.53748i	−0.103126	+	0.167027i
$739$	1.12270	+	9.96427i	0.0412993	+	0.366542i	0.997315	+	0.0732270i	$0.0233298\pi$
$739$	1.12270	+	9.96427i	0.0412993	+	0.366542i	−0.956016	+	0.293315i	$0.905242\pi$
$740$	1.51665	+	13.4607i	0.0557532	+	0.494823i
$741$	−30.7402	+	56.1407i	−1.12927	+	2.06238i
$742$	0.0531159	−	0.0531159i	0.00194995	−	0.00194995i
$743$	22.9403	−	8.02715i	0.841597	−	0.294488i	0.125158	−	0.992137i	$-0.460056\pi$
$743$	22.9403	−	8.02715i	0.841597	−	0.294488i	0.716439	+	0.697649i	$0.245771\pi$
$744$	−11.9001	−	21.3329i	−0.436278	−	0.782103i
$745$	14.4504	−	6.95896i	0.529423	−	0.254957i
$746$	−7.32414	−	2.56283i	−0.268156	−	0.0938317i
$747$	3.04723	+	25.2574i	0.111492	+	0.924120i
$748$	3.95593	−	4.96058i	0.144643	−	0.181377i
$749$	0.0390640	−	0.0311525i	0.00142737	−	0.00113829i
$750$	19.5165	+	5.53957i	0.712643	+	0.202276i
$751$	−9.11788	+	14.5110i	−0.332716	+	0.529515i	−0.970625	−	0.240597i	$-0.922657\pi$
$751$	−9.11788	+	14.5110i	−0.332716	+	0.529515i	0.637909	+	0.770112i	$0.279800\pi$
$752$	−2.40131	−	0.270562i	−0.0875667	−	0.00986640i
$753$	−1.39723	+	26.7598i	−0.0509179	+	0.975182i
$754$	−27.3083	−	8.06596i	−0.994509	−	0.293745i
$755$		−	2.49202i		−	0.0906941i
$756$	0.0155101	−	0.0563270i	0.000564096	−	0.00204859i
$757$	11.8448	+	7.44260i	0.430507	+	0.270506i	0.729807	−	0.683654i	$-0.239610\pi$
$757$	11.8448	+	7.44260i	0.430507	+	0.270506i	−0.299299	+	0.954159i	$0.596753\pi$
$758$	3.68055	−	16.1255i	0.133684	−	0.585706i
$759$	−6.16257	−	8.61334i	−0.223687	−	0.312644i
$760$	−29.7979	−	23.7630i	−1.08088	−	0.861974i
$761$	24.4664	−	5.58429i	0.886905	−	0.202430i	0.245283	−	0.969451i	$-0.421119\pi$
$761$	24.4664	−	5.58429i	0.886905	−	0.202430i	0.641622	+	0.767021i	$0.278262\pi$
$762$	−32.8216	−	13.4441i	−1.18900	−	0.487030i
$763$	−0.0575473	−	0.119498i	−0.00208335	−	0.00432613i
$764$	−2.91097	−	4.63279i	−0.105315	−	0.167608i
$765$	10.4781	−	2.47844i	0.378836	−	0.0896080i
$766$	5.07707	+	5.07707i	0.183442	+	0.183442i
$767$	−66.9679	−	32.2501i	−2.41807	−	1.16448i
$768$	29.4290	−	1.76885i	1.06193	−	0.0638277i
$769$	9.25720	−	1.04304i	0.333823	−	0.0376128i	0.0565378	−	0.998400i	$-0.481994\pi$
$769$	9.25720	−	1.04304i	0.333823	−	0.0376128i	0.277285	+	0.960788i	$0.410565\pi$
$770$	−0.0265450	+	0.0551212i	−0.000956614	+	0.00198643i
$771$	26.9424	−	24.2685i	0.970306	−	0.874007i
$772$	−4.30179	−	12.2938i	−0.154825	−	0.442464i
$773$	12.3565	−	7.76408i	0.444431	−	0.279255i	−0.291168	−	0.956672i	$-0.594044\pi$
$773$	12.3565	−	7.76408i	0.444431	−	0.279255i	0.735599	+	0.677417i	$0.236901\pi$
$774$	−4.33854	−	12.0928i	−0.155946	−	0.434667i
$775$	−2.14076	+	6.11795i	−0.0768984	+	0.219763i
$776$	1.81781	+	7.96433i	0.0652555	+	0.285903i
$777$	0.0906763	+	0.0803940i	0.00325299	+	0.00288412i
$778$	−18.3985	−	23.0709i	−0.659617	−	0.827133i
$779$	−12.1115	−	2.76436i	−0.433938	−	0.0990435i
$780$	11.1260	−	15.8120i	0.398374	−	0.566162i
$781$	3.71741	−	32.9929i	0.133019	−	1.18058i
$782$	−3.51784			−0.125798
$783$	−27.9818	+	0.142680i	−0.999987	+	0.00509896i
$784$	−5.05629			−0.180582
$785$	0.594927	−	5.28012i	0.0212339	−	0.188456i
$786$	3.19538	−	4.54120i	0.113975	−	0.161979i
$787$	−41.2995	−	9.42633i	−1.47217	−	0.336013i	−0.590174	−	0.807276i	$-0.700941\pi$
$787$	−41.2995	−	9.42633i	−1.47217	−	0.336013i	−0.881993	+	0.471263i	$0.843798\pi$
$788$	−6.13596	−	7.69425i	−0.218585	−	0.274096i
$789$	1.35129	+	1.19806i	0.0481073	+	0.0426522i
$790$	0.921838	+	4.03884i	0.0327975	+	0.143695i
$791$	0.0618949	−	0.176885i	0.00220073	−	0.00628932i
$792$	9.47177	+	26.4007i	0.336565	+	0.938108i
$793$	−42.0115	+	26.3976i	−1.49187	+	0.937405i
$794$	−7.03448	−	20.1034i	−0.249644	−	0.713443i
$795$	18.1509	−	16.3495i	0.643747	−	0.579858i
$796$	−9.61300	+	19.9616i	−0.340724	+	0.707520i
$797$	31.5593	−	3.55588i	1.11789	−	0.125956i	0.466370	−	0.884590i	$-0.345561\pi$
$797$	31.5593	−	3.55588i	1.11789	−	0.125956i	0.651517	+	0.758634i	$0.274133\pi$
$798$	−0.118497	+	0.00712234i	−0.00419476	+	0.000252128i
$799$	5.67096	+	2.73099i	0.200624	+	0.0966154i
$800$	−5.03007	−	5.03007i	−0.177840	−	0.177840i
$801$	−28.6496	+	6.77665i	−1.01228	+	0.239441i
$802$	−4.48827	−	7.14304i	−0.158486	−	0.252229i
$803$	12.5172	+	25.9922i	0.441722	+	0.917245i
$804$	3.84552	+	1.57517i	0.135621	+	0.0555521i
$805$	−0.0379150	+	0.00865385i	−0.00133633	+	0.000305008i
$806$	−19.6857	−	15.6988i	−0.693399	−	0.552967i
$807$	−0.529558	−	0.740156i	−0.0186413	−	0.0260547i
$808$	−9.26215	+	40.5801i	−0.325841	+	1.42760i
$809$	18.9925	+	11.9338i	0.667741	+	0.419570i	0.822796	−	0.568336i	$-0.192413\pi$
$809$	18.9925	+	11.9338i	0.667741	+	0.419570i	−0.155055	+	0.987906i	$0.549556\pi$
$810$	−5.22659	+	15.7262i	−0.183644	+	0.552561i
$811$			34.9297i			1.22655i	0.789871	+	0.613273i	$0.210148\pi$
$811$			34.9297i			1.22655i	−0.789871	+	0.613273i	$0.789852\pi$
$812$	0.0163717	+	0.0582932i	0.000574535	+	0.00204569i
$813$	−1.53206	+	29.3421i	−0.0537318	+	1.02907i
$814$	−20.1283	−	2.26791i	−0.705496	−	0.0794903i
$815$	−12.8897	+	20.5138i	−0.451505	+	0.718566i
$816$	2.26452	+	0.642762i	0.0792742	+	0.0225012i
$817$	23.3998	−	18.6607i	0.818655	−	0.652856i
$818$	11.9511	−	14.9862i	0.417861	−	0.523981i
$819$	−0.0207176	−	0.171721i	−0.000723933	−	0.00600042i
$820$	3.54199	+	1.23940i	0.123692	+	0.0432816i
$821$	24.3867	−	11.7440i	0.851100	−	0.409868i	0.0431145	−	0.999070i	$-0.486272\pi$
$821$	24.3867	−	11.7440i	0.851100	−	0.409868i	0.807986	+	0.589202i	$0.200558\pi$
$822$	−12.4577	−	22.3326i	−0.434513	−	0.778939i
$823$	−1.68136	+	0.588334i	−0.0586086	+	0.0205080i	−0.359424	−	0.933174i	$-0.617027\pi$
$823$	−1.68136	+	0.588334i	−0.0586086	+	0.0205080i	0.300816	+	0.953682i	$0.402741\pi$
$824$	2.23297	−	2.23297i	0.0777892	−	0.0777892i
$825$	3.57440	−	6.52790i	0.124445	−	0.227272i
$826$	−0.0154351	−	0.136990i	−0.000537056	−	0.00476650i
$827$	3.62853	+	32.2041i	0.126176	+	1.11985i	0.884033	+	0.467425i	$0.154818\pi$
$827$	3.62853	+	32.2041i	0.126176	+	1.11985i	−0.757856	+	0.652421i	$0.773753\pi$
$828$	−3.26116	+	5.28190i	−0.113333	+	0.183559i
$829$	5.02270	−	5.02270i	0.174446	−	0.174446i	−0.614484	−	0.788929i	$-0.710636\pi$
$829$	5.02270	−	5.02270i	0.174446	−	0.174446i	0.788929	+	0.614484i	$0.210636\pi$
$830$	−14.7386	+	5.15724i	−0.511583	+	0.179011i
$831$	−6.98170	+	3.89458i	−0.242193	+	0.135101i
$832$	32.0271	−	15.4235i	1.11034	−	0.534712i
$833$	12.4311	+	4.34983i	0.430712	+	0.150713i
$834$	23.7121	−	4.12487i	0.821082	−	0.142833i
$835$	22.9691	−	28.8023i	0.794878	−	0.996746i
$836$	−17.7862	+	14.1840i	−0.615147	+	0.490563i
$837$	−22.9701	−	9.19851i	−0.793964	−	0.317947i
$838$	−19.4947	+	31.0257i	−0.673435	+	1.07177i
$839$	11.8776	+	1.33828i	0.410060	+	0.0462027i	0.314586	−	0.949229i	$-0.398134\pi$
$839$	11.8776	+	1.33828i	0.410060	+	0.0462027i	0.0954748	+	0.995432i	$0.469563\pi$
$840$	0.102854	+	0.00537042i	0.00354881	+	0.000185297i
$841$	24.7596	−	15.0985i	0.853779	−	0.520636i
$842$			12.6817i			0.437040i
$843$	37.8586	+	6.27932i	1.30392	+	0.216271i
$844$	−17.2952	−	10.8673i	−0.595327	−	0.374069i
$845$	7.21892	−	31.6282i	0.248338	−	1.08804i
$846$	−8.16194	+	5.21849i	−0.280613	+	0.179415i
$847$	−0.00851420	−	0.00678985i	−0.000292551	−	0.000233302i
$848$	5.20681	−	1.18842i	0.178803	−	0.0408106i
$849$	−1.85243	+	4.52240i	−0.0635753	+	0.155208i
$850$	−1.07258	−	2.22725i	−0.0367894	−	0.0763939i
$851$	−6.85037	−	10.9023i	−0.234828	−	0.373726i
$852$	−18.6783	+	5.46079i	−0.639909	+	0.187084i
$853$	−31.0349	−	31.0349i	−1.06261	−	1.06261i	−0.997904	−	0.0647099i	$-0.979388\pi$
$853$	−31.0349	−	31.0349i	−1.06261	−	1.06261i	−0.0647099	−	0.997904i	$-0.520612\pi$
$854$	−0.0829102	−	0.0399274i	−0.00283713	−	0.00136629i
$855$	−38.6046	+	0.303704i	−1.32025	+	0.0103865i
$856$	13.9712	−	1.57417i	0.477525	−	0.0538042i
$857$	6.74481	−	14.0057i	0.230398	−	0.478427i	−0.753433	−	0.657525i	$-0.771603\pi$
$857$	6.74481	−	14.0057i	0.230398	−	0.478427i	0.983831	+	0.179098i	$0.0573178\pi$
$858$	19.3495	+	21.4814i	0.660580	+	0.733364i
$859$	10.5508	+	30.1524i	0.359988	+	1.02879i	0.971395	+	0.237471i	$0.0763185\pi$
$859$	10.5508	+	30.1524i	0.359988	+	1.02879i	−0.611406	+	0.791317i	$0.709396\pi$
$860$	−7.65501	+	4.80996i	−0.261034	+	0.164018i
$861$	0.0309649	−	0.0129690i	0.00105528	−	0.000441983i
$862$	6.90574	−	19.7355i	0.235210	−	0.672193i
$863$	0.601526	+	2.63546i	0.0204762	+	0.0897120i	0.984134	−	0.177429i	$-0.0567781\pi$
$863$	0.601526	+	2.63546i	0.0204762	+	0.0897120i	−0.963657	+	0.267141i	$0.913921\pi$
$864$	20.0336	−	18.3329i	0.681556	−	0.623696i
$865$	20.5090	+	25.7174i	0.697326	+	0.874419i
$866$	14.9343	+	3.40865i	0.507488	+	0.115831i
$867$	19.0664	+	13.4159i	0.647530	+	0.455629i
$868$	−0.00599465	+	0.0532040i	−0.000203472	+	0.00180586i
$869$	7.10229			0.240929
$870$	−3.77538	−	16.7547i	−0.127998	−	0.568037i
$871$	12.3030			0.416872
$872$	4.17870	−	37.0869i	0.141508	−	1.25592i
$873$	6.50989	+	5.10820i	0.220326	+	0.172886i
$874$	12.2969	+	2.80670i	0.415951	+	0.0949380i
$875$	−0.0796303	−	0.0998533i	−0.00269200	−	0.00337566i
$876$	11.2177	−	12.6524i	0.379010	−	0.427484i
$877$	6.82277	+	29.8925i	0.230388	+	1.00940i	0.949319	+	0.314315i	$0.101775\pi$
$877$	6.82277	+	29.8925i	0.230388	+	1.00940i	−0.718930	+	0.695082i	$0.755368\pi$
$878$	2.39547	−	6.84586i	0.0808432	−	0.231037i
$879$	−8.22372	−	19.6350i	−0.277379	−	0.662272i
$880$	−3.68308	+	2.31423i	−0.124156	+	0.0780127i
$881$	3.30100	+	9.43372i	0.111214	+	0.317830i	0.986016	−	0.166649i	$-0.0532948\pi$
$881$	3.30100	+	9.43372i	0.111214	+	0.317830i	−0.874803	+	0.484479i	$0.839009\pi$
$882$	−15.7481	+	12.7627i	−0.530266	+	0.429741i
$883$	18.9783	−	39.4088i	0.638670	−	1.32621i	−0.290613	−	0.956841i	$-0.593859\pi$
$883$	18.9783	−	39.4088i	0.638670	−	1.32621i	0.929282	−	0.369370i	$-0.120427\pi$
$884$	−10.9407	+	1.23272i	−0.367974	+	0.0414607i
$885$	−2.68981	−	44.7515i	−0.0904170	−	1.50430i
$886$	28.6305	+	13.7877i	0.961861	+	0.463208i
$887$	0.762300	+	0.762300i	0.0255955	+	0.0255955i	0.719789	−	0.694193i	$-0.244239\pi$
$887$	0.762300	+	0.762300i	0.0255955	+	0.0255955i	−0.694193	+	0.719789i	$0.744239\pi$
$888$	9.56885	+	32.7297i	0.321109	+	1.09834i
$889$	0.118795	+	0.189062i	0.00398427	+	0.00634093i
$890$	−7.84014	−	16.2802i	−0.262802	−	0.545714i
$891$	24.2912	+	14.7353i	0.813787	+	0.493650i
$892$	7.03093	−	1.60476i	0.235413	−	0.0537314i
$893$	−17.6445	−	14.0710i	−0.590450	−	0.470868i
$894$	11.4324	−	8.17954i	0.382358	−	0.273565i
$895$	−4.56785	+	20.0131i	−0.152686	+	0.668963i
$896$	−0.0373261	−	0.0234536i	−0.00124698	−	0.000783529i
$897$	−3.00712	+	18.1302i	−0.100405	+	0.605349i
$898$		−	24.2800i		−	0.810234i
$899$	25.3094	−	4.12594i	0.844117	−	0.137608i
$900$	−4.33845	−	0.454293i	−0.144615	−	0.0151431i
$901$	−13.8235	−	1.55754i	−0.460529	−	0.0518892i
$902$	−2.98543	+	4.75129i	−0.0994041	+	0.158201i
$903$	−0.0220846	+	0.0778065i	−0.000734929	+	0.00258924i
$904$	41.2283	−	32.8785i	1.37123	−	1.09352i
$905$	−12.5757	+	15.7694i	−0.418029	+	0.524192i
$906$	−0.374324	−	2.15183i	−0.0124361	−	0.0714896i
$907$	32.0695	+	11.2216i	1.06485	+	0.372607i	0.805143	−	0.593081i	$-0.202088\pi$
$907$	32.0695	+	11.2216i	1.06485	+	0.372607i	0.259707	+	0.965688i	$0.416374\pi$
$908$	5.00185	−	2.40877i	0.165992	−	0.0799377i
$909$	18.5917	+	37.8416i	0.616648	+	1.25513i
$910$	0.100205	−	0.0350633i	0.00332177	−	0.00116234i
$911$	6.24926	−	6.24926i	0.207047	−	0.207047i	−0.595964	−	0.803011i	$-0.703230\pi$
$911$	6.24926	−	6.24926i	0.207047	−	0.207047i	0.803011	+	0.595964i	$0.203230\pi$
$912$	−7.40304	−	4.05359i	−0.245139	−	0.134228i
$913$	2.99731	+	26.6019i	0.0991965	+	0.880393i
$914$	1.29703	+	11.5115i	0.0429020	+	0.380765i
$915$	−26.2493	−	14.3730i	−0.867776	−	0.475156i
$916$	−2.87647	+	2.87647i	−0.0950413	+	0.0950413i
$917$	−0.0329949	+	0.0115454i	−0.00108959	+	0.000381264i
$918$	8.67539	−	3.71399i	0.286330	−	0.122580i
$919$	−10.7052	+	5.15537i	−0.353133	+	0.170060i	−0.602037	−	0.798468i	$-0.705644\pi$
$919$	−10.7052	+	5.15537i	−0.353133	+	0.170060i	0.248904	+	0.968528i	$0.419930\pi$
$920$	−10.3292	−	3.61434i	−0.340543	−	0.119161i
$921$	−1.26263	−	7.25833i	−0.0416052	−	0.239170i
$922$	−16.3116	+	20.4541i	−0.537193	+	0.673619i
$923$	−45.0439	+	35.9213i	−1.48264	+	1.18237i
$924$	0.0167865	−	0.0591406i	0.000552234	−	0.00194558i
$925$	4.81390	−	7.66127i	0.158280	−	0.251901i
$926$	−20.4366	−	2.30266i	−0.671589	−	0.0756699i
$927$	0.333128	−	3.18135i	0.0109414	−	0.104489i
$928$	−7.97220	+	26.9909i	−0.261700	+	0.886019i
$929$		−	18.6915i		−	0.613249i	−0.951831	−	0.306625i	$-0.900800\pi$
$929$		−	18.6915i		−	0.613249i	0.951831	−	0.306625i	$-0.0991996\pi$
$930$	2.48500	−	14.9823i	0.0814863	−	0.491288i
$931$	−39.9837	−	25.1234i	−1.31041	−	0.823387i
$932$	−1.97924	+	8.67162i	−0.0648322	+	0.284048i
$933$	−6.22595	+	4.45447i	−0.203828	+	0.145833i
$934$	5.68846	+	4.53639i	0.186132	+	0.148435i
$935$	11.0459	−	2.52115i	0.361239	−	0.0824505i
$936$	20.7720	−	44.0159i	0.678953	−	1.43870i
$937$	16.6396	+	34.5524i	0.543591	+	1.12878i	0.974084	+	0.226185i	$0.0726253\pi$
$937$	16.6396	+	34.5524i	0.543591	+	1.12878i	−0.430493	+	0.902594i	$0.641660\pi$
$938$	0.0121401	+	0.0193208i	0.000396387	+	0.000630847i
$939$	2.78806	+	9.53640i	0.0909849	+	0.311209i
$940$	4.82043	+	4.82043i	0.157225	+	0.157225i
$941$	43.6825	+	21.0364i	1.42401	+	0.685766i	0.977873	−	0.209200i	$-0.0670859\pi$
$941$	43.6825	+	21.0364i	1.42401	+	0.685766i	0.446135	+	0.894966i	$0.352800\pi$
$942$	−0.279411	−	4.64867i	−0.00910370	−	0.151462i
$943$	−3.54454	+	0.399374i	−0.115426	+	0.0130054i
$944$	4.25268	−	8.83078i	0.138413	−	0.287417i
$945$	0.0843664	−	0.0613706i	0.00274444	−	0.00199639i
$946$	−4.46504	−	12.7604i	−0.145171	−	0.414875i
$947$	−34.8959	+	21.9265i	−1.13396	+	0.712516i	−0.962125	−	0.272609i	$-0.912113\pi$
$947$	−34.8959	+	21.9265i	−1.13396	+	0.712516i	−0.171838	+	0.985125i	$0.554971\pi$
$948$	−1.60815	−	3.83964i	−0.0522304	−	0.124706i
$949$	16.5340	−	47.2514i	0.536716	−	1.53385i
$950$	1.97233	+	8.64132i	0.0639907	+	0.280361i
$951$	−2.61372	+	2.94801i	−0.0847556	+	0.0955957i
$952$	−0.0365680	−	0.0458549i	−0.00118518	−	0.00148616i
$953$	−27.3857	−	6.25061i	−0.887110	−	0.202477i	−0.245397	−	0.969423i	$-0.578918\pi$
$953$	−27.3857	−	6.25061i	−0.887110	−	0.202477i	−0.641712	+	0.766946i	$0.721776\pi$
$954$	13.2172	−	16.8440i	0.427923	−	0.545344i
$955$	1.09393	−	9.70889i	0.0353987	−	0.314172i
$956$	17.3317			0.560548
$957$	−29.4445	−	0.0814993i	−0.951805	−	0.00263450i
$958$	36.7750			1.18815
$959$	−0.0180248	+	0.159975i	−0.000582051	+	0.00516585i
$960$	17.5350	+	12.3383i	0.565939	+	0.398217i
$961$	−8.11574	−	1.85236i	−0.261798	−	0.0597537i
$962$	21.9149	+	27.4804i	0.706563	+	0.886002i
$963$	9.99068	−	10.1491i	0.321945	−	0.327051i
$964$	1.16566	+	5.10710i	0.0375435	+	0.164489i
$965$	7.68170	−	21.9530i	0.247283	−	0.706693i
$966$	−0.0314392	+	0.0131676i	−0.00101154	+	0.000423662i
$967$	38.9915	−	24.5000i	1.25388	−	0.787867i	0.269346	−	0.963043i	$-0.413192\pi$
$967$	38.9915	−	24.5000i	1.25388	−	0.787867i	0.984537	+	0.175176i	$0.0560496\pi$
$968$	−1.01209	−	2.89240i	−0.0325299	−	0.0929651i
$969$	14.7135	+	16.3346i	0.472665	+	0.524743i
$970$	−2.20364	+	4.57591i	−0.0707547	+	0.146924i
$971$	−40.8711	+	4.60506i	−1.31161	+	0.147784i	−0.739927	−	0.672687i	$-0.765140\pi$
$971$	−40.8711	+	4.60506i	−1.31161	+	0.147784i	−0.571688	+	0.820471i	$0.693711\pi$
$972$	2.46598	−	16.4688i	0.0790964	−	0.528236i
$973$	−0.136513	−	0.0657412i	−0.00437641	−	0.00210757i
$974$	2.79996	+	2.79996i	0.0897165	+	0.0897165i
$975$	−12.3956	+	3.62398i	−0.396978	+	0.116060i
$976$	−3.48094	−	5.53988i	−0.111422	−	0.177327i
$977$	−9.79779	−	20.3453i	−0.313459	−	0.650904i	0.683405	−	0.730040i	$-0.260498\pi$
$977$	−9.79779	−	20.3453i	−0.313459	−	0.650904i	−0.996864	+	0.0791352i	$0.974784\pi$
$978$	−8.04868	+	19.6495i	−0.257368	+	0.628321i
$979$	−30.2021	+	6.89344i	−0.965265	+	0.220315i
$980$	11.1522	+	8.89355i	0.356243	+	0.284094i
$981$	−20.3643	−	31.8506i	−0.650182	−	1.01691i
$982$	−4.40416	+	19.2959i	−0.140542	+	0.615756i
$983$	−7.59701	−	4.77352i	−0.242307	−	0.152252i	0.405404	−	0.914138i	$-0.367131\pi$
$983$	−7.59701	−	4.77352i	−0.242307	−	0.152252i	−0.647711	+	0.761886i	$0.724274\pi$
$984$	9.31927	+	1.54572i	0.297088	+	0.0492757i
$985$		−	17.5736i		−	0.559943i
$986$	−5.71286	+	7.93827i	−0.181935	+	0.252806i
$987$	0.0609042	+	0.00318004i	0.00193860	+	0.000101222i
$988$	39.2277	+	4.41990i	1.24800	+	0.140616i
$989$	4.57206	−	7.27640i	0.145383	−	0.231376i
$990$	−5.62977	+	16.5043i	−0.178926	+	0.524541i
$991$	−32.9962	+	26.3136i	−1.04816	+	0.835880i	−0.986752	−	0.162233i	$-0.948130\pi$
$991$	−32.9962	+	26.3136i	−1.04816	+	0.835880i	−0.0614073	+	0.998113i	$0.519559\pi$
$992$	−15.5163	+	19.4569i	−0.492644	+	0.617756i
$993$	−38.2817	+	6.65935i	−1.21483	+	0.211328i
$994$	−0.100859	−	0.0352920i	−0.00319904	−	0.00111939i
$995$	−35.6454	+	17.1659i	−1.13004	+	0.544197i
$996$	13.7028	−	7.64379i	0.434190	−	0.242203i
$997$	−31.1747	+	10.9085i	−0.987313	+	0.345476i	−0.775163	−	0.631761i	$-0.782332\pi$
$997$	−31.1747	+	10.9085i	−0.987313	+	0.345476i	−0.212150	+	0.977237i	$0.568047\pi$
$998$	−15.8814	+	15.8814i	−0.502717	+	0.502717i
$999$	28.4040	+	19.6540i	0.898664	+	0.621824i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	87.2.k.a.2.5	yes	96
3.2	odd	2	inner	87.2.k.a.2.4	✓	96
29.15	odd	28	inner	87.2.k.a.44.4	yes	96
87.44	even	28	inner	87.2.k.a.44.5	yes	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
87.2.k.a.2.4	✓	96	3.2	odd	2	inner
87.2.k.a.2.5	yes	96	1.1	even	1	trivial
87.2.k.a.44.4	yes	96	29.15	odd	28	inner
87.2.k.a.44.5	yes	96	87.44	even	28	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 87 = 3 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	87.k (of order \(28\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.108076 - 0.959202i) q^{2} +(-0.996724 + 1.41652i) q^{3} +(1.04147 + 0.237708i) q^{4} +(1.18935 + 1.49140i) q^{5} +(1.25101 + 1.10915i) q^{6} +(-0.00234208 - 0.0102613i) q^{7} +(0.978186 - 2.79549i) q^{8} +(-1.01308 - 2.82377i) q^{9} +(1.55910 - 0.979646i) q^{10} +(-1.04262 - 2.97964i) q^{11} +(-1.37477 + 1.23833i) q^{12} +(-2.37674 + 4.93536i) q^{13} +(-0.0100958 + 0.00113753i) q^{14} +(-3.29806 + 0.198232i) q^{15} +(-0.650805 - 0.313411i) q^{16} +(1.33041 + 1.33041i) q^{17} +(-2.81805 + 0.666569i) q^{18} +(-3.58912 - 5.71205i) q^{19} +(0.884155 + 1.83597i) q^{20} +(0.0168698 + 0.00691010i) q^{21} +(-2.97076 + 0.678057i) q^{22} +(-1.51439 - 1.20769i) q^{23} +(2.98491 + 4.17196i) q^{24} +(0.302886 - 1.32703i) q^{25} +(4.47714 + 2.81317i) q^{26} +(5.00970 + 1.37946i) q^{27} -0.0112436i q^{28} +(-5.18457 + 1.45609i) q^{29} +(-0.166298 + 3.18494i) q^{30} +(-4.73194 - 0.533162i) q^{31} +(2.78047 - 4.42510i) q^{32} +(5.25994 + 1.49298i) q^{33} +(1.41992 - 1.13235i) q^{34} +(0.0125182 - 0.0156973i) q^{35} +(-0.383860 - 3.18168i) q^{36} +(6.27435 + 2.19549i) q^{37} +(-5.86691 + 2.82535i) q^{38} +(-4.62210 - 8.28591i) q^{39} +(5.33262 - 1.86596i) q^{40} +(1.30214 - 1.30214i) q^{41} +(0.00845141 - 0.0154348i) q^{42} +(0.496740 + 4.40869i) q^{43} +(-0.377572 - 3.35104i) q^{44} +(3.00646 - 4.86937i) q^{45} +(-1.32209 + 1.32209i) q^{46} +(3.15765 - 1.10491i) q^{47} +(1.09263 - 0.609497i) q^{48} +(6.30668 - 3.03714i) q^{49} +(-1.24016 - 0.433949i) q^{50} +(-3.21061 + 0.558506i) q^{51} +(-3.64848 + 4.57504i) q^{52} +(-5.78058 + 4.60986i) q^{53} +(1.86461 - 4.65623i) q^{54} +(3.20380 - 5.09882i) q^{55} +(-0.0309765 - 0.00349021i) q^{56} +(11.6686 + 0.609263i) q^{57} +(0.836360 + 5.13042i) q^{58} +13.5690i q^{59} +(-3.48195 - 0.577525i) q^{60} +(7.66936 + 4.81898i) q^{61} +(-1.02282 + 4.48127i) q^{62} +(-0.0266029 + 0.0170091i) q^{63} +(-5.07355 - 4.04603i) q^{64} +(-10.1874 + 2.32521i) q^{65} +(2.00055 - 4.88399i) q^{66} +(-0.974487 - 2.02354i) q^{67} +(1.06933 + 1.70183i) q^{68} +(3.22015 - 0.941443i) q^{69} +(-0.0137040 - 0.0137040i) q^{70} +(9.47597 + 4.56339i) q^{71} +(-8.88481 + 0.0698971i) q^{72} +(-9.08130 + 1.02322i) q^{73} +(2.78403 - 5.78109i) q^{74} +(1.57788 + 1.75173i) q^{75} +(-2.38015 - 6.80207i) q^{76} +(-0.0281332 + 0.0176773i) q^{77} +(-8.44740 + 3.53802i) q^{78} +(-0.743076 + 2.12359i) q^{79} +(-0.306615 - 1.34337i) q^{80} +(-6.94733 + 5.72142i) q^{81} +(-1.10829 - 1.38975i) q^{82} +(-8.26757 - 1.88702i) q^{83} +(0.0159268 + 0.0112067i) q^{84} +(-0.401848 + 3.56650i) q^{85} +4.28251 q^{86} +(3.10499 - 8.79540i) q^{87} -9.34946 q^{88} +(1.09875 - 9.75169i) q^{89} +(-4.34579 - 3.41007i) q^{90} +(0.0562099 + 0.0128295i) q^{91} +(-1.29011 - 1.61775i) q^{92} +(5.47168 - 6.17150i) q^{93} +(-0.718566 - 3.14824i) q^{94} +(4.25023 - 12.1465i) q^{95} +(3.49689 + 8.34921i) q^{96} +(-2.33549 + 1.46749i) q^{97} +(-2.23163 - 6.37763i) q^{98} +(-7.35756 + 5.96275i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 12 q^{3} - 28 q^{4} - 14 q^{6} - 20 q^{7} - 14 q^{9} - 4 q^{10} - 8 q^{12} - 28 q^{13} - 16 q^{15} - 48 q^{16} - 28 q^{18} - 20 q^{19} + 26 q^{21} - 28 q^{22} + 58 q^{24} - 20 q^{25} + 36 q^{27}+ \cdots + 82 q^{99}+O(q^{100}) \) 96 * q - 12 * q^3 - 28 * q^4 - 14 * q^6 - 20 * q^7 - 14 * q^9 - 4 * q^10 - 8 * q^12 - 28 * q^13 - 16 * q^15 - 48 * q^16 - 28 * q^18 - 20 * q^19 + 26 * q^21 - 28 * q^22 + 58 * q^24 - 20 * q^25 + 36 * q^27 + 96 * q^30 - 32 * q^31 + 28 * q^33 - 28 * q^34 + 22 * q^36 - 4 * q^37 - 40 * q^39 - 48 * q^40 - 14 * q^42 - 32 * q^43 + 42 * q^45 + 120 * q^46 - 20 * q^48 + 4 * q^49 - 14 * q^51 + 72 * q^52 - 30 * q^54 + 148 * q^55 + 112 * q^58 + 20 * q^60 + 12 * q^61 - 14 * q^63 + 224 * q^64 - 32 * q^66 + 28 * q^67 + 10 * q^69 + 52 * q^70 - 44 * q^72 + 16 * q^73 - 144 * q^75 - 100 * q^76 - 102 * q^78 - 60 * q^79 - 146 * q^81 - 108 * q^82 - 64 * q^84 - 104 * q^85 - 70 * q^87 - 312 * q^88 - 96 * q^90 - 112 * q^91 - 70 * q^93 + 56 * q^94 - 168 * q^96 + 32 * q^97 + 82 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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