LMFDB - Embedded newform 805.2.bs.a.37.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [805,2,Mod(37,805)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(805, base_ring=CyclotomicField(132))

chi = DirichletCharacter(H, H._module([33, 44, 126]))

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

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

chi := DirichletCharacter("805.37");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 805 = 5 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	805.bs (of order $132$, degree $40$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$6.42795736271$
Analytic rank:	$0$
Dimension:	$3680$
Relative dimension:	$92$ over $\Q(\zeta_{132})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{132}]$

Embedding invariants

Embedding label			37.1
Character	$\chi$	$=$	805.37
Dual form			805.2.bs.a.718.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.37524 + 1.44778i) q^{2} +(0.0889339 + 0.183078i) q^{3} +(2.62922 - 5.09998i) q^{4} +(-1.40279 - 1.74131i) q^{5} +(-0.476296 - 0.306097i) q^{6} +(1.44280 + 2.21773i) q^{7} +(0.741747 + 10.3710i) q^{8} +(1.82887 - 2.32560i) q^{9} +O(q^{10})$	\(q+(-2.37524 + 1.44778i) q^{2} +(0.0889339 + 0.183078i) q^{3} +(2.62922 - 5.09998i) q^{4} +(-1.40279 - 1.74131i) q^{5} +(-0.476296 - 0.306097i) q^{6} +(1.44280 + 2.21773i) q^{7} +(0.741747 + 10.3710i) q^{8} +(1.82887 - 2.32560i) q^{9} +(5.85301 + 2.10509i) q^{10} +(3.65569 - 0.886862i) q^{11} +(1.16752 + 0.0277922i) q^{12} +(4.58432 + 1.70986i) q^{13} +(-6.63778 - 3.17878i) q^{14} +(0.194041 - 0.411682i) q^{15} +(-10.1202 - 14.2119i) q^{16} +(-3.71098 - 4.08222i) q^{17} +(-0.977039 + 8.17164i) q^{18} +(0.0331045 + 0.694948i) q^{19} +(-12.5689 + 2.57592i) q^{20} +(-0.277705 + 0.461376i) q^{21} +(-7.39915 + 7.39915i) q^{22} +(-3.85777 - 2.84914i) q^{23} +(-1.83273 + 1.05813i) q^{24} +(-1.06434 + 4.88540i) q^{25} +(-13.3643 + 2.57577i) q^{26} +(1.18507 + 0.257796i) q^{27} +(15.1038 - 1.52732i) q^{28} +(0.998053 - 1.55300i) q^{29} +(0.135134 + 1.25877i) q^{30} +(-2.63648 - 0.508141i) q^{31} +(25.4976 + 10.9187i) q^{32} +(0.487480 + 0.590406i) q^{33} +(14.7246 + 4.32354i) q^{34} +(1.83782 - 5.62338i) q^{35} +(-7.05199 - 15.4417i) q^{36} +(0.199095 - 0.0238047i) q^{37} +(-1.08476 - 1.60274i) q^{38} +(0.0946627 + 0.991352i) q^{39} +(17.0186 - 15.8400i) q^{40} +(0.450510 + 3.13336i) q^{41} +(-0.00835707 - 1.49793i) q^{42} +(0.328319 - 4.59050i) q^{43} +(5.08865 - 20.9757i) q^{44} +(-6.61511 + 0.0776970i) q^{45} +(13.2881 + 1.18216i) q^{46} +(0.989823 - 0.265222i) q^{47} +(1.70185 - 3.11671i) q^{48} +(-2.83668 + 6.39947i) q^{49} +(-4.54494 - 13.1449i) q^{50} +(0.417333 - 1.04245i) q^{51} +(20.7734 - 18.8843i) q^{52} +(-3.24251 - 2.67724i) q^{53} +(-3.18805 + 1.10339i) q^{54} +(-6.67249 - 5.12162i) q^{55} +(-21.9299 + 16.6082i) q^{56} +(-0.124286 + 0.0678651i) q^{57} +(-0.122205 + 5.13371i) q^{58} +(1.41123 + 1.00493i) q^{59} +(-1.58940 - 2.07201i) q^{60} +(13.3861 - 4.63296i) q^{61} +(6.99795 - 2.61010i) q^{62} +(7.79623 + 0.700581i) q^{63} +(-41.8321 + 6.01454i) q^{64} +(-3.45344 - 10.3813i) q^{65} +(-2.01266 - 0.696588i) q^{66} +(11.5831 - 0.275729i) q^{67} +(-30.5762 + 8.19287i) q^{68} +(0.178528 - 0.959659i) q^{69} +(3.77617 + 16.0176i) q^{70} +(12.5205 - 3.67636i) q^{71} +(25.4753 + 17.2422i) q^{72} +(-1.11797 + 0.357375i) q^{73} +(-0.438433 + 0.344788i) q^{74} +(-0.989067 + 0.239620i) q^{75} +(3.63126 + 1.65834i) q^{76} +(7.24124 + 6.82779i) q^{77} +(-1.66011 - 2.21765i) q^{78} +(10.1013 + 0.964554i) q^{79} +(-10.5507 + 37.5588i) q^{80} +(-2.03433 - 8.38564i) q^{81} +(-5.60650 - 6.79024i) q^{82} +(7.08006 - 5.30007i) q^{83} +(1.62286 + 2.62935i) q^{84} +(-1.90268 + 12.1885i) q^{85} +(5.86621 + 11.3789i) q^{86} +(0.373081 + 0.0446073i) q^{87} +(11.9092 + 37.2553i) q^{88} +(-8.87562 + 1.71063i) q^{89} +(15.6000 - 9.76179i) q^{90} +(2.82222 + 12.6338i) q^{91} +(-24.6735 + 12.1835i) q^{92} +(-0.141443 - 0.527873i) q^{93} +(-1.96708 + 2.06301i) q^{94} +(1.16368 - 1.03251i) q^{95} +(0.268623 + 5.63910i) q^{96} +(-11.9709 - 8.96129i) q^{97} +(-2.52726 - 19.3072i) q^{98} +(4.62330 - 10.1236i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 3680 q - 18 q^{2} - 18 q^{3} - 22 q^{5} - 160 q^{6} - 44 q^{7} - 56 q^{8}+O(q^{10}) $ 3680 * q - 18 * q^2 - 18 * q^3 - 22 * q^5 - 160 * q^6 - 44 * q^7 - 56 * q^8	$ 3680 q - 18 q^{2} - 18 q^{3} - 22 q^{5} - 160 q^{6} - 44 q^{7} - 56 q^{8} - 22 q^{10} - 44 q^{11} + 14 q^{12} - 72 q^{13} - 88 q^{15} - 196 q^{16} - 22 q^{17} - 62 q^{18} - 88 q^{20} - 88 q^{21} - 44 q^{23} - 30 q^{25} - 28 q^{26} - 48 q^{27} + 132 q^{28} - 22 q^{30} - 40 q^{31} - 50 q^{32} - 22 q^{33} - 40 q^{35} - 416 q^{36} - 110 q^{37} - 22 q^{38} - 22 q^{40} - 192 q^{41} - 264 q^{42} - 88 q^{43} - 44 q^{47} + 24 q^{48} - 44 q^{51} - 374 q^{52} - 22 q^{53} - 32 q^{55} - 220 q^{56} + 88 q^{57} - 58 q^{58} - 22 q^{60} - 220 q^{61} + 8 q^{62} - 44 q^{63} - 22 q^{65} - 44 q^{66} - 22 q^{67} - 96 q^{70} - 136 q^{71} - 46 q^{72} + 18 q^{73} - 34 q^{75} - 176 q^{76} - 116 q^{77} + 80 q^{78} + 176 q^{80} - 236 q^{81} - 2 q^{82} - 88 q^{83} - 448 q^{85} - 86 q^{87} - 110 q^{88} - 88 q^{90} - 228 q^{92} + 4 q^{93} - 236 q^{95} - 332 q^{96} - 88 q^{97} + 84 q^{98}+O(q^{100}) $ 3680 * q - 18 * q^2 - 18 * q^3 - 22 * q^5 - 160 * q^6 - 44 * q^7 - 56 * q^8 - 22 * q^10 - 44 * q^11 + 14 * q^12 - 72 * q^13 - 88 * q^15 - 196 * q^16 - 22 * q^17 - 62 * q^18 - 88 * q^20 - 88 * q^21 - 44 * q^23 - 30 * q^25 - 28 * q^26 - 48 * q^27 + 132 * q^28 - 22 * q^30 - 40 * q^31 - 50 * q^32 - 22 * q^33 - 40 * q^35 - 416 * q^36 - 110 * q^37 - 22 * q^38 - 22 * q^40 - 192 * q^41 - 264 * q^42 - 88 * q^43 - 44 * q^47 + 24 * q^48 - 44 * q^51 - 374 * q^52 - 22 * q^53 - 32 * q^55 - 220 * q^56 + 88 * q^57 - 58 * q^58 - 22 * q^60 - 220 * q^61 + 8 * q^62 - 44 * q^63 - 22 * q^65 - 44 * q^66 - 22 * q^67 - 96 * q^70 - 136 * q^71 - 46 * q^72 + 18 * q^73 - 34 * q^75 - 176 * q^76 - 116 * q^77 + 80 * q^78 + 176 * q^80 - 236 * q^81 - 2 * q^82 - 88 * q^83 - 448 * q^85 - 86 * q^87 - 110 * q^88 - 88 * q^90 - 228 * q^92 + 4 * q^93 - 236 * q^95 - 332 * q^96 - 88 * q^97 + 84 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/805\mathbb{Z}\right)^\times$.

$n$	$162$	$281$	$346$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{21}{22}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−2.37524	+	1.44778i	−1.67955	+	1.02374i	−0.745552	+	0.666448i	$0.767814\pi$
$2$	−2.37524	+	1.44778i	−1.67955	+	1.02374i	−0.933994	+	0.357289i	$0.883701\pi$
$3$	0.0889339	+	0.183078i	0.0513460	+	0.105700i	0.923607	−	0.383340i	$-0.125226\pi$
$3$	0.0889339	+	0.183078i	0.0513460	+	0.105700i	−0.872262	+	0.489040i	$0.837347\pi$
$4$	2.62922	−	5.09998i	1.31461	−	2.54999i
$5$	−1.40279	−	1.74131i	−0.627348	−	0.778739i
$5$	−1.40279	−	1.74131i	−0.627348	−	0.778739i
$6$	−0.476296	−	0.306097i	−0.194447	−	0.124964i
$7$	1.44280	+	2.21773i	0.545326	+	0.838224i
$7$	1.44280	+	2.21773i	0.545326	+	0.838224i
$8$	0.741747	+	10.3710i	0.262247	+	3.66670i
$9$	1.82887	−	2.32560i	0.609623	−	0.775199i
$10$	5.85301	+	2.10509i	1.85088	+	0.665688i
$11$	3.65569	−	0.886862i	1.10223	−	0.267399i	0.356934	−	0.934129i	$-0.383822\pi$
$11$	3.65569	−	0.886862i	1.10223	−	0.267399i	0.745299	+	0.666731i	$0.232307\pi$
$12$	1.16752	+	0.0277922i	0.337034	+	0.00802291i
$13$	4.58432	+	1.70986i	1.27146	+	0.474230i	0.892443	−	0.451160i	$-0.148989\pi$
$13$	4.58432	+	1.70986i	1.27146	+	0.474230i	0.379017	+	0.925390i	$0.376262\pi$
$14$	−6.63778	−	3.17878i	−1.77402	−	0.849566i
$15$	0.194041	−	0.411682i	0.0501010	−	0.106296i
$16$	−10.1202	−	14.2119i	−2.53005	−	3.55296i
$17$	−3.71098	−	4.08222i	−0.900045	−	0.990083i	0.0999428	−	0.994993i	$-0.468134\pi$
$17$	−3.71098	−	4.08222i	−0.900045	−	0.990083i	−0.999988	+	0.00491018i	$0.998437\pi$
$18$	−0.977039	+	8.17164i	−0.230290	+	1.92607i
$19$	0.0331045	+	0.694948i	0.00759468	+	0.159432i	0.999479	+	0.0322859i	$0.0102787\pi$
$19$	0.0331045	+	0.694948i	0.00759468	+	0.159432i	−0.991884	+	0.127146i	$0.959418\pi$
$20$	−12.5689	+	2.57592i	−2.81049	+	0.575993i
$21$	−0.277705	+	0.461376i	−0.0606002	+	0.100680i
$22$	−7.39915	+	7.39915i	−1.57751	+	1.57751i
$23$	−3.85777	−	2.84914i	−0.804401	−	0.594086i
$23$	−3.85777	−	2.84914i	−0.804401	−	0.594086i
$24$	−1.83273	+	1.05813i	−0.374105	+	0.215990i
$25$	−1.06434	+	4.88540i	−0.212868	+	0.977081i
$26$	−13.3643	+	2.57577i	−2.62096	+	0.505149i
$27$	1.18507	+	0.257796i	0.228066	+	0.0496128i
$28$	15.1038	−	1.52732i	2.85435	−	0.288636i
$29$	0.998053	−	1.55300i	0.185334	−	0.288385i	−0.736137	−	0.676832i	$-0.763352\pi$
$29$	0.998053	−	1.55300i	0.185334	−	0.288385i	0.921471	+	0.388447i	$0.126988\pi$
$30$	0.135134	+	1.25877i	0.0246721	+	0.229819i
$31$	−2.63648	−	0.508141i	−0.473526	−	0.0912647i	−0.0530958	−	0.998589i	$-0.516909\pi$
$31$	−2.63648	−	0.508141i	−0.473526	−	0.0912647i	−0.420431	+	0.907325i	$0.638121\pi$
$32$	25.4976	+	10.9187i	4.50738	+	1.93017i
$33$	0.487480	+	0.590406i	0.0848594	+	0.102776i
$34$	14.7246	+	4.32354i	2.52525	+	0.741481i
$35$	1.83782	−	5.62338i	0.310649	−	0.950525i
$36$	−7.05199	−	15.4417i	−1.17533	−	2.57362i
$37$	0.199095	−	0.0238047i	0.0327310	−	0.00391347i	−0.102337	−	0.994750i	$-0.532632\pi$
$37$	0.199095	−	0.0238047i	0.0327310	−	0.00391347i	0.135068	+	0.990836i	$0.456875\pi$
$38$	−1.08476	−	1.60274i	−0.175972	−	0.259998i
$39$	0.0946627	+	0.991352i	0.0151582	+	0.158743i
$40$	17.0186	−	15.8400i	2.69088	−	2.50452i
$41$	0.450510	+	3.13336i	0.0703578	+	0.489349i	0.994283	+	0.106776i	$0.0340529\pi$
$41$	0.450510	+	3.13336i	0.0703578	+	0.489349i	−0.923925	+	0.382573i	$0.875038\pi$
$42$	−0.00835707	−	1.49793i	−0.00128952	−	0.231136i
$43$	0.328319	−	4.59050i	0.0500682	−	0.700045i	−0.908987	−	0.416825i	$-0.863143\pi$
$43$	0.328319	−	4.59050i	0.0500682	−	0.700045i	0.959055	−	0.283220i	$-0.0914027\pi$
$44$	5.08865	−	20.9757i	0.767143	−	3.16221i
$45$	−6.61511	+	0.0776970i	−0.986123	+	0.0115824i
$46$	13.2881	+	1.18216i	1.95922	+	0.174300i
$47$	0.989823	−	0.265222i	0.144381	−	0.0386867i	−0.185905	−	0.982568i	$-0.559522\pi$
$47$	0.989823	−	0.265222i	0.144381	−	0.0386867i	0.330285	+	0.943881i	$0.392855\pi$
$48$	1.70185	−	3.11671i	0.245641	−	0.449858i
$49$	−2.83668	+	6.39947i	−0.405240	+	0.914210i
$50$	−4.54494	−	13.1449i	−0.642751	−	1.85897i
$51$	0.417333	−	1.04245i	0.0584383	−	0.145972i
$52$	20.7734	−	18.8843i	2.88076	−	2.61878i
$53$	−3.24251	−	2.67724i	−0.445393	−	0.367747i	0.386865	−	0.922136i	$-0.373558\pi$
$53$	−3.24251	−	2.67724i	−0.445393	−	0.367747i	−0.832257	+	0.554389i	$0.812952\pi$
$54$	−3.18805	+	1.10339i	−0.433838	+	0.150153i
$55$	−6.67249	−	5.12162i	−0.899718	−	0.690600i
$56$	−21.9299	+	16.6082i	−2.93050	+	2.21937i
$57$	−0.124286	+	0.0678651i	−0.0164620	+	0.00898896i
$58$	−0.122205	+	5.13371i	−0.0160463	+	0.674089i
$59$	1.41123	+	1.00493i	0.183727	+	0.130831i	0.668220	−	0.743964i	$-0.267057\pi$
$59$	1.41123	+	1.00493i	0.183727	+	0.130831i	−0.484493	+	0.874795i	$0.660996\pi$
$60$	−1.58940	−	2.07201i	−0.205190	−	0.267495i
$61$	13.3861	−	4.63296i	1.71391	−	0.593189i	0.719095	−	0.694911i	$-0.244556\pi$
$61$	13.3861	−	4.63296i	1.71391	−	0.593189i	0.994813	+	0.101722i	$0.0324352\pi$
$62$	6.99795	−	2.61010i	0.888740	−	0.331483i
$63$	7.79623	+	0.700581i	0.982233	+	0.0882649i
$64$	−41.8321	+	6.01454i	−5.22901	+	0.751818i
$65$	−3.45344	−	10.3813i	−0.428347	−	1.28764i
$66$	−2.01266	−	0.696588i	−0.247741	−	0.0857441i
$67$	11.5831	−	0.275729i	1.41510	−	0.0336856i	0.690737	−	0.723106i	$-0.257286\pi$
$67$	11.5831	−	0.275729i	1.41510	−	0.0336856i	0.724362	+	0.689420i	$0.242135\pi$
$68$	−30.5762	+	8.19287i	−3.70791	+	0.993531i
$69$	0.178528	−	0.959659i	0.0214923	−	0.115529i
$70$	3.77617	+	16.0176i	0.451338	+	1.91447i
$71$	12.5205	−	3.67636i	1.48591	−	0.436303i	0.564678	−	0.825312i	$-0.309000\pi$
$71$	12.5205	−	3.67636i	1.48591	−	0.436303i	0.921234	+	0.389008i	$0.127182\pi$
$72$	25.4753	+	17.2422i	3.00229	+	2.03201i
$73$	−1.11797	+	0.357375i	−0.130848	+	0.0418275i	−0.369191	−	0.929353i	$-0.620365\pi$
$73$	−1.11797	+	0.357375i	−0.130848	+	0.0418275i	0.238343	+	0.971181i	$0.423396\pi$
$74$	−0.438433	+	0.344788i	−0.0509668	+	0.0400808i
$75$	−0.989067	+	0.239620i	−0.114208	+	0.0276689i
$76$	3.63126	+	1.65834i	0.416534	+	0.190225i
$77$	7.24124	+	6.82779i	0.825216	+	0.778099i
$78$	−1.66011	−	2.21765i	−0.187970	−	0.251099i
$79$	10.1013	+	0.964554i	1.13648	+	0.108521i	0.646288	−	0.763093i	$-0.276320\pi$
$79$	10.1013	+	0.964554i	1.13648	+	0.108521i	0.490193	+	0.871614i	$0.336926\pi$
$80$	−10.5507	+	37.5588i	−1.17961	+	4.19920i
$81$	−2.03433	−	8.38564i	−0.226037	−	0.931738i
$82$	−5.60650	−	6.79024i	−0.619134	−	0.749857i
$83$	7.08006	−	5.30007i	0.777137	−	0.581758i	−0.135381	−	0.990794i	$-0.543226\pi$
$83$	7.08006	−	5.30007i	0.777137	−	0.581758i	0.912518	+	0.409036i	$0.134135\pi$
$84$	1.62286	+	2.62935i	0.177068	+	0.286885i
$85$	−1.90268	+	12.1885i	−0.206374	+	1.32203i
$86$	5.86621	+	11.3789i	0.632570	+	1.22701i
$87$	0.373081	+	0.0446073i	0.0399985	+	0.00478241i
$88$	11.9092	+	37.2553i	1.26953	+	3.97143i
$89$	−8.87562	+	1.71063i	−0.940813	+	0.181327i	−0.636528	−	0.771254i	$-0.719630\pi$
$89$	−8.87562	+	1.71063i	−0.940813	+	0.181327i	−0.304286	+	0.952581i	$0.598418\pi$
$90$	15.6000	−	9.76179i	1.64438	−	1.02898i
$91$	2.82222	+	12.6338i	0.295849	+	1.32438i
$92$	−24.6735	+	12.1835i	−2.57239	+	1.27022i
$93$	−0.141443	−	0.527873i	−0.0146670	−	0.0547379i
$94$	−1.96708	+	2.06301i	−0.202889	+	0.212784i
$95$	1.16368	−	1.03251i	0.119391	−	0.105934i
$96$	0.268623	+	5.63910i	0.0274163	+	0.575538i
$97$	−11.9709	−	8.96129i	−1.21546	−	0.909881i	−0.217649	−	0.976027i	$-0.569839\pi$
$97$	−11.9709	−	8.96129i	−1.21546	−	0.909881i	−0.997810	+	0.0661464i	$0.978930\pi$
$98$	−2.52726	−	19.3072i	−0.255292	−	1.95032i
$99$	4.62330	−	10.1236i	0.464659	−	1.01746i
$100$	22.1171	+	18.2729i	2.21171	+	1.82729i
$101$	−11.0992	+	4.44344i	−1.10441	+	0.442138i	−0.850971	−	0.525213i	$-0.823986\pi$
$101$	−11.0992	+	4.44344i	−1.10441	+	0.442138i	−0.253438	+	0.967352i	$0.581561\pi$
$102$	0.517972	+	3.08026i	0.0512869	+	0.304992i
$103$	−0.910183	−	0.0216664i	−0.0896830	−	0.00213485i	−0.0210678	−	0.999778i	$-0.506707\pi$
$103$	−0.910183	−	0.0216664i	−0.0896830	−	0.00213485i	−0.0686153	+	0.997643i	$0.521858\pi$
$104$	−14.3325	+	48.8121i	−1.40542	+	4.78642i
$105$	1.19296	−	0.163644i	0.116421	−	0.0159700i
$106$	11.5778	+	1.66463i	1.12453	+	0.161683i
$107$	−1.92488	−	0.935048i	−0.186085	−	0.0903945i	0.341558	−	0.939861i	$-0.389045\pi$
$107$	−1.92488	−	0.935048i	−0.186085	−	0.0903945i	−0.527643	+	0.849466i	$0.676924\pi$
$108$	4.43056	−	5.36601i	0.426330	−	0.516345i
$109$	0.0967910	−	2.03189i	0.00927090	−	0.194620i	−0.989481	−	0.144666i	$-0.953789\pi$
$109$	0.0967910	−	2.03189i	0.00927090	−	0.194620i	0.998751	−	0.0499544i	$-0.0159076\pi$
$110$	23.2637	+	2.50476i	2.21811	+	0.238820i
$111$	0.0220644	+	0.0343329i	0.00209426	+	0.00325873i
$112$	16.9167	−	42.9488i	1.59848	−	4.05828i
$113$	8.12026	+	4.43400i	0.763890	+	0.417115i	0.813434	−	0.581657i	$-0.197595\pi$
$113$	8.12026	+	4.43400i	0.763890	+	0.417115i	−0.0495448	+	0.998772i	$0.515777\pi$
$114$	0.196954	−	0.341134i	0.0184464	−	0.0319502i
$115$	0.450417	+	10.7143i	0.0420016	+	0.999118i
$116$	−5.29617	−	9.17323i	−0.491737	−	0.851713i
$117$	12.3606	−	7.53415i	1.14273	−	0.696533i
$118$	−4.80693	−	0.343799i	−0.442514	−	0.0316492i
$119$	3.69908	−	14.1198i	0.339094	−	1.29436i
$120$	4.41348	+	1.70703i	0.402894	+	0.155829i
$121$	2.80039	−	1.44370i	0.254581	−	0.131245i
$122$	−25.0875	+	30.3845i	−2.27132	+	2.75088i
$123$	−0.533585	+	0.361141i	−0.0481117	+	0.0325630i
$124$	−9.52341	+	12.1100i	−0.855227	+	1.08751i
$125$	10.0001	−	4.99986i	0.894433	−	0.447201i
$126$	−19.5322	+	9.62320i	−1.74007	+	0.857303i
$127$	−4.12187	−	7.54863i	−0.365756	−	0.669833i	0.628387	−	0.777901i	$-0.283715\pi$
$127$	−4.12187	−	7.54863i	−0.365756	−	0.669833i	−0.994144	+	0.108068i	$0.965534\pi$
$128$	47.8761	−	39.5298i	4.23169	−	3.49397i
$129$	0.869619	−	0.348143i	0.0765657	−	0.0306523i
$130$	23.2326	+	19.6582i	2.03764	+	1.72414i
$131$	−2.50885	−	3.52319i	−0.219200	−	0.307823i	0.690304	−	0.723520i	$-0.257477\pi$
$131$	−2.50885	−	3.52319i	−0.219200	−	0.307823i	−0.909503	+	0.415697i	$0.863538\pi$
$132$	4.29275	−	0.933830i	0.373636	−	0.0812795i
$133$	−1.49345	+	1.07609i	−0.129498	+	0.0933084i
$134$	−27.1134	+	17.4247i	−2.34224	+	1.50526i
$135$	−1.21350	−	2.42521i	−0.104442	−	0.208729i
$136$	39.5840	−	41.5145i	3.39430	−	3.55984i
$137$	13.5433	+	3.62893i	1.15709	+	0.310040i	0.785801	−	0.618479i	$-0.212251\pi$
$137$	13.5433	+	3.62893i	1.15709	+	0.310040i	0.371284	+	0.928519i	$0.378917\pi$
$138$	0.965330	+	2.53789i	0.0821743	+	0.216039i
$139$		−	7.68759i		−	0.652053i	−0.945361	−	0.326027i	$-0.894290\pi$
$139$		−	7.68759i		−	0.652053i	0.945361	−	0.326027i	$-0.105710\pi$
$140$	−23.8471	−	24.1580i	−2.01545	−	2.04172i
$141$	0.136585	+	0.157628i	0.0115026	+	0.0132747i
$142$	−24.4166	+	26.8592i	−2.04900	+	2.25397i
$143$	18.2753	+	2.18508i	1.52825	+	0.182725i
$144$	−51.5596	−	2.45609i	−4.29663	−	0.204674i
$145$	−4.10432	+	0.440616i	−0.340845	+	0.0365912i
$146$	2.13803	−	2.46742i	0.176945	−	0.204205i
$147$	−1.42388	+	0.0497962i	−0.117440	+	0.00410712i
$148$	0.402061	−	1.07797i	0.0330492	−	0.0886084i
$149$	−1.46619	+	1.39801i	−0.120115	+	0.114530i	−0.747756	−	0.663973i	$-0.768869\pi$
$149$	−1.46619	+	1.39801i	−0.120115	+	0.114530i	0.627641	+	0.778503i	$0.284020\pi$
$150$	2.00235	−	2.00111i	0.163491	−	0.163390i
$151$	−0.455667	+	0.639895i	−0.0370817	+	0.0520739i	−0.832701	−	0.553724i	$-0.813206\pi$
$151$	−0.455667	+	0.639895i	−0.0370817	+	0.0520739i	0.795619	+	0.605797i	$0.207146\pi$
$152$	−7.18274	+	0.858801i	−0.582597	+	0.0696580i
$153$	−16.2805	+	1.16440i	−1.31620	+	0.0941364i
$154$	−27.0848	−	5.73388i	−2.18256	−	0.462049i
$155$	2.81361	+	5.30376i	0.225995	+	0.426008i
$156$	5.30476	+	2.12371i	0.424721	+	0.170033i
$157$	−2.69558	+	0.861682i	−0.215130	+	0.0687697i	−0.410104	−	0.912039i	$-0.634508\pi$
$157$	−2.69558	+	0.861682i	−0.215130	+	0.0687697i	0.194974	+	0.980809i	$0.437538\pi$
$158$	−25.3894	+	12.3334i	−2.01987	+	0.981192i
$159$	0.201775	−	0.831729i	0.0160018	−	0.0659604i
$160$	−16.7550	−	59.7160i	−1.32460	−	4.72097i
$161$	0.752646	−	12.6662i	0.0593168	−	0.998239i
$162$	16.9726	+	16.9726i	1.33349	+	1.33349i
$163$	−9.13509	−	14.9871i	−0.715515	−	1.17388i	−0.977932	−	0.208922i	$-0.933004\pi$
$163$	−9.13509	−	14.9871i	−0.715515	−	1.17388i	0.262417	−	0.964955i	$-0.415480\pi$
$164$	17.1646	+	5.94072i	1.34033	+	0.463892i
$165$	0.344247	−	1.67707i	0.0267996	−	0.130560i
$166$	−9.14347	+	22.8393i	−0.709671	+	1.77267i
$167$	−0.0404815	−	0.186091i	−0.00313255	−	0.0144001i	0.975554	−	0.219760i	$-0.0705273\pi$
$167$	−0.0404815	−	0.186091i	−0.00313255	−	0.0144001i	−0.978687	+	0.205359i	$0.934164\pi$
$168$	−4.99091	−	2.53785i	−0.385057	−	0.195799i
$169$	8.26758	+	7.16390i	0.635968	+	0.551069i
$170$	−13.1270	−	31.7052i	−1.00679	−	2.43168i
$171$	1.67671	+	1.19398i	0.128221	+	0.0913060i
$172$	−22.5482	−	13.7439i	−1.71929	−	1.04796i
$173$	−0.369759	+	15.5332i	−0.0281123	+	1.18097i	0.792642	+	0.609687i	$0.208705\pi$
$173$	−0.369759	+	15.5332i	−0.0281123	+	1.18097i	−0.820755	+	0.571281i	$0.806447\pi$
$174$	−0.950738	+	0.434187i	−0.0720752	+	0.0329157i
$175$	−12.3702	+	4.68822i	−0.935095	+	0.354396i
$176$	−49.6004	−	42.9790i	−3.73877	−	3.23966i
$177$	−0.0584751	+	0.347738i	−0.00439525	+	0.0261376i
$178$	18.6051	−	16.9131i	1.39451	−	1.26769i
$179$	−2.82061	−	3.58670i	−0.210822	−	0.268082i	0.669129	−	0.743146i	$-0.266667\pi$
$179$	−2.82061	−	3.58670i	−0.210822	−	0.268082i	−0.879951	+	0.475064i	$0.842425\pi$
$180$	−16.9963	+	33.9412i	−1.26683	+	2.52983i
$181$	9.60314	−	8.32117i	0.713796	−	0.618508i	−0.220341	−	0.975423i	$-0.570717\pi$
$181$	9.60314	−	8.32117i	0.713796	−	0.618508i	0.934137	+	0.356915i	$0.116172\pi$
$182$	−24.9944	−	25.9222i	−1.85271	−	1.92148i
$183$	2.03867	+	2.03867i	0.150703	+	0.150703i
$184$	26.6869	−	42.1222i	1.96738	−	3.10529i
$185$	−0.320740	−	0.313293i	−0.0235813	−	0.0230338i
$186$	1.10021	+	1.04905i	0.0806711	+	0.0769197i
$187$	−17.1866	−	11.6322i	−1.25681	−	0.850631i
$188$	1.24984	−	5.74541i	0.0911537	−	0.419027i
$189$	1.13809	+	3.00011i	0.0827838	+	0.218226i
$190$	−1.26917	+	4.13722i	−0.0920752	+	0.300146i
$191$	15.5493	−	11.0726i	1.12511	−	0.801188i	0.143044	−	0.989716i	$-0.454311\pi$
$191$	15.5493	−	11.0726i	1.12511	−	0.801188i	0.982068	+	0.188528i	$0.0603717\pi$
$192$	−4.82142	−	7.12364i	−0.347956	−	0.514105i
$193$	7.63454	−	17.8283i	0.549546	−	1.28331i	−0.383495	−	0.923543i	$-0.625280\pi$
$193$	7.63454	−	17.8283i	0.549546	−	1.28331i	0.933041	−	0.359769i	$-0.117145\pi$
$194$	41.4077	+	3.95395i	2.97290	+	0.283877i
$195$	1.59346	−	1.55550i	0.114110	−	0.111392i
$196$	25.1789	+	31.2926i	1.79849	+	2.23519i
$197$	−2.22123	+	5.95534i	−0.158256	+	0.424300i	−0.991743	−	0.128238i	$-0.959068\pi$
$197$	−2.22123	+	5.95534i	−0.158256	+	0.424300i	0.833488	+	0.552538i	$0.186341\pi$
$198$	3.67536	+	30.7395i	0.261196	+	2.18456i
$199$	−3.30215	−	0.636437i	−0.234083	−	0.0451158i	0.0708604	−	0.997486i	$-0.477426\pi$
$199$	−3.30215	−	0.636437i	−0.234083	−	0.0451158i	−0.304944	+	0.952370i	$0.598638\pi$
$200$	−51.4559	−	7.41454i	−3.63848	−	0.524287i
$201$	1.08061	+	2.09609i	0.0762202	+	0.147847i
$202$	19.9300	−	26.6234i	1.40227	−	1.87322i
$203$	4.88413	−	0.0272489i	0.342799	−	0.00191250i
$204$	−4.21920	−	4.86921i	−0.295403	−	0.340913i
$205$	4.82420	−	5.17994i	0.336937	−	0.361783i
$206$	2.19327	−	1.26628i	0.152812	−	0.0882262i
$207$	−13.6813	+	3.76092i	−0.950916	+	0.261402i
$208$	−22.0940	−	82.4558i	−1.53194	−	5.71728i
$209$	0.737343	+	2.51116i	0.0510031	+	0.173700i
$210$	−2.59665	+	2.11584i	−0.179186	+	0.146007i
$211$	−0.378423	+	0.243198i	−0.0260517	+	0.0167424i	−0.553602	−	0.832781i	$-0.686747\pi$
$211$	−0.378423	+	0.243198i	−0.0260517	+	0.0167424i	0.527550	+	0.849524i	$0.323111\pi$
$212$	−22.1791	+	9.49766i	−1.52327	+	0.652302i
$213$	1.78656	+	1.96528i	0.122413	+	0.134659i
$214$	5.92579	−	0.565844i	0.405078	−	0.0386803i
$215$	−8.45406	+	5.86782i	−0.576562	+	0.400182i
$216$	−1.79457	+	12.4815i	−0.122105	+	0.849260i
$217$	−2.67699	−	6.58016i	−0.181726	−	0.446690i
$218$	2.71184	+	4.96636i	0.183669	+	0.336364i
$219$	−0.164852	−	0.172892i	−0.0111397	−	0.0116830i
$220$	−43.6636	+	20.5637i	−2.94380	+	1.38640i
$221$	−10.0323	−	25.0594i	−0.674844	−	1.68568i
$222$	−0.102115	−	0.0496042i	−0.00685349	−	0.00332922i
$223$	9.58133	+	25.6885i	0.641613	+	1.72023i	0.692392	+	0.721522i	$0.256557\pi$
$223$	9.58133	+	25.6885i	0.641613	+	1.72023i	−0.0507786	+	0.998710i	$0.516170\pi$
$224$	12.5731	+	72.3004i	0.840074	+	4.83077i
$225$	9.41493	+	11.4100i	0.627662	+	0.760666i
$226$	−25.7070	+	1.22458i	−1.71000	+	0.0814575i
$227$	2.93793	+	6.04799i	0.194997	+	0.401419i	0.974308	−	0.225218i	$-0.0723096\pi$
$227$	2.93793	+	6.04799i	0.194997	+	0.401419i	−0.779311	+	0.626637i	$0.784431\pi$
$228$	0.0193360	+	0.812287i	0.00128056	+	0.0537950i
$229$	−7.52427	+	13.0324i	−0.497218	+	0.861206i	−0.999995	−	0.00320993i	$-0.998978\pi$
$229$	−7.52427	+	13.0324i	−0.497218	+	0.861206i	0.502777	+	0.864416i	$0.332312\pi$
$230$	−16.5819	−	24.7970i	−1.09338	−	1.63506i
$231$	−0.606028	+	1.93294i	−0.0398737	+	0.127178i
$232$	16.8464	+	9.19885i	1.10602	+	0.603934i
$233$	−16.7931	+	24.8117i	−1.10015	+	1.62547i	−0.391040	+	0.920374i	$0.627885\pi$
$233$	−16.7931	+	24.8117i	−1.10015	+	1.62547i	−0.709110	+	0.705097i	$0.750903\pi$
$234$	−18.4514	+	35.7908i	−1.20621	+	2.33972i
$235$	−1.85035	−	1.35154i	−0.120704	−	0.0881648i
$236$	8.83558	−	4.55506i	0.575147	−	0.296509i
$237$	0.721756	+	1.93510i	0.0468831	+	0.125698i
$238$	11.6562	+	38.8933i	0.755557	+	2.52107i
$239$	3.07616	+	0.442285i	0.198980	+	0.0286091i	0.241084	−	0.970504i	$-0.422497\pi$
$239$	3.07616	+	0.442285i	0.198980	+	0.0286091i	−0.0421039	+	0.999113i	$0.513406\pi$
$240$	−7.81450	+	1.40864i	−0.504424	+	0.0909273i
$241$	14.6496	−	3.55396i	0.943665	−	0.228931i	0.265726	−	0.964049i	$-0.414388\pi$
$241$	14.6496	−	3.55396i	0.943665	−	0.228931i	0.677939	+	0.735118i	$0.262873\pi$
$242$	−4.56142	+	7.48348i	−0.293219	+	0.481056i
$243$	4.15991	−	3.43471i	0.266858	−	0.220337i
$244$	11.5669	−	80.4496i	0.740496	−	5.15026i
$245$	15.1228	−	4.03759i	0.966158	−	0.257952i
$246$	0.744537	−	1.63031i	0.0474700	−	0.103945i
$247$	−1.03650	+	3.24247i	−0.0659511	+	0.206313i
$248$	3.31431	−	27.7198i	0.210459	−	1.76021i
$249$	1.59998	+	0.824849i	0.101395	+	0.0522727i
$250$	−16.5138	+	26.3538i	−1.04443	+	1.66676i
$251$	−3.27748	−	11.1621i	−0.206873	−	0.704545i	−0.995922	−	0.0902148i	$-0.971245\pi$
$251$	−3.27748	−	11.1621i	−0.206873	−	0.704545i	0.789049	−	0.614330i	$-0.210574\pi$
$252$	24.0710	−	37.9186i	1.51633	−	2.38865i
$253$	−16.6296	−	6.99427i	−1.04550	−	0.439726i
$254$	20.7192	+	11.9622i	1.30004	+	0.750577i
$255$	−2.40066	+	0.735630i	−0.150335	+	0.0460670i
$256$	−28.8412	+	83.3310i	−1.80257	+	5.20819i
$257$	8.37170	−	9.20919i	0.522213	−	0.574453i	−0.420824	−	0.907142i	$-0.638259\pi$
$257$	8.37170	−	9.20919i	0.522213	−	0.574453i	0.943037	+	0.332689i	$0.107956\pi$
$258$	−1.56152	+	2.08594i	−0.0972157	+	0.129865i
$259$	0.340046	+	0.407194i	0.0211294	+	0.0253018i
$260$	−62.0243	−	9.68228i	−3.84659	−	0.600469i
$261$	−1.78634	−	5.16130i	−0.110572	−	0.319477i
$262$	11.0599	+	4.73614i	0.683285	+	0.292600i
$263$	12.9344	−	2.17503i	0.797571	−	0.134118i	0.247119	−	0.968985i	$-0.420516\pi$
$263$	12.9344	−	2.17503i	0.797571	−	0.134118i	0.550452	+	0.834867i	$0.314455\pi$
$264$	−5.76150	+	5.49358i	−0.354596	+	0.338106i
$265$	−0.113346	+	9.40183i	−0.00696276	+	0.577550i
$266$	1.98935	−	4.71814i	0.121975	−	0.289288i
$267$	−1.10252	−	1.47280i	−0.0674733	−	0.0901338i
$268$	29.0483	−	59.7984i	1.77441	−	3.65277i
$269$	3.00823	+	31.5037i	0.183415	+	1.92081i	0.353595	+	0.935398i	$0.384959\pi$
$269$	3.00823	+	31.5037i	0.183415	+	1.92081i	−0.170180	+	0.985413i	$0.554435\pi$
$270$	6.39352	+	4.00355i	0.389097	+	0.243649i
$271$	−13.3461	−	5.34298i	−0.810720	−	0.324563i	−0.0709982	−	0.997476i	$-0.522618\pi$
$271$	−13.3461	−	5.34298i	−0.810720	−	0.324563i	−0.739721	+	0.672913i	$0.765043\pi$
$272$	−20.4599	+	94.0529i	−1.24057	+	5.70279i
$273$	−2.06198	+	1.64026i	−0.124796	+	0.0992728i
$274$	−37.4225	+	10.9882i	−2.26078	+	0.663824i
$275$	0.441769	+	18.8035i	0.0266396	+	1.13389i
$276$	−4.42485	−	3.43364i	−0.266345	−	0.206681i
$277$	3.29792	−	12.3080i	0.198153	−	0.739517i	−0.793275	−	0.608863i	$-0.791626\pi$
$277$	3.29792	−	12.3080i	0.198153	−	0.739517i	0.991428	−	0.130654i	$-0.0417076\pi$
$278$	11.1300	+	18.2599i	0.667531	+	1.09515i
$279$	−6.00351	+	5.20207i	−0.359421	+	0.311440i
$280$	59.6832	+	14.8889i	3.56675	+	0.889781i
$281$	−1.24567	+	0.179101i	−0.0743106	+	0.0106843i	−0.179370	−	0.983782i	$-0.557406\pi$
$281$	−1.24567	+	0.179101i	−0.0743106	+	0.0106843i	0.105059	+	0.994466i	$0.466497\pi$
$282$	−0.552633	−	0.176658i	−0.0329088	−	0.0105198i
$283$	4.19612	+	3.46461i	0.249433	+	0.205950i	0.753024	−	0.657993i	$-0.228594\pi$
$283$	4.19612	+	3.46461i	0.249433	+	0.205950i	−0.503591	+	0.863942i	$0.667988\pi$
$284$	14.1699	−	73.5203i	0.840828	−	4.36263i
$285$	0.292522	+	0.121220i	0.0173275	+	0.00718043i
$286$	−46.5716	+	21.2685i	−2.75384	+	1.25763i
$287$	−6.29897	+	5.51992i	−0.371817	+	0.325830i
$288$	72.0243	−	39.3282i	4.24407	−	2.31744i
$289$	−1.27716	+	13.3750i	−0.0751271	+	0.786767i
$290$	9.11082	−	6.98873i	0.535006	−	0.410393i
$291$	0.575999	−	2.98857i	0.0337657	−	0.175193i
$292$	−1.11678	+	6.64122i	−0.0653543	+	0.388648i
$293$	3.58535	+	16.4816i	0.209459	+	0.962865i	0.955046	+	0.296458i	$0.0958054\pi$
$293$	3.58535	+	16.4816i	0.209459	+	0.962865i	−0.745587	+	0.666408i	$0.767831\pi$
$294$	3.30996	−	2.17975i	0.193041	−	0.127125i
$295$	−0.229762	−	3.86711i	−0.0133773	−	0.225152i
$296$	0.394556	+	2.04715i	0.0229331	+	0.118988i
$297$	4.56087	−	0.108569i	0.264649	−	0.00629981i
$298$	1.45854	−	5.44333i	0.0844908	−	0.315324i
$299$	−12.8136	−	19.6576i	−0.741031	−	1.13683i
$300$	−1.37842	+	5.67423i	−0.0795830	+	0.327602i
$301$	10.6542	−	5.89503i	0.614098	−	0.339784i
$302$	0.155889	−	2.17961i	0.00897039	−	0.125422i
$303$	−1.80059	−	1.63684i	−0.103441	−	0.0940342i
$304$	9.54148	−	7.50350i	0.547241	−	0.430355i
$305$	−26.8453	−	16.8102i	−1.53716	−	0.962551i
$306$	36.9842	−	26.3363i	2.11425	−	1.50555i
$307$	−26.9795	+	1.92961i	−1.53980	+	0.110129i	−0.815257	−	0.579099i	$-0.803404\pi$
$307$	−26.9795	+	1.92961i	−1.53980	+	0.110129i	−0.724545	+	0.689228i	$0.757950\pi$
$308$	53.8604	−	18.9784i	3.06898	−	1.08140i
$309$	−0.0769795	−	0.168562i	−0.00437921	−	0.00958913i
$310$	−14.3617	−	8.52419i	−0.815688	−	0.484141i
$311$	−2.20733	−	9.09874i	−0.125166	−	0.515942i	−0.999530	−	0.0306704i	$-0.990236\pi$
$311$	−2.20733	−	9.09874i	−0.125166	−	0.515942i	0.874363	−	0.485272i	$-0.161279\pi$
$312$	−10.2111	+	1.71708i	−0.578089	+	0.0972104i
$313$	3.47030	+	29.0245i	0.196153	+	1.64056i	0.657582	+	0.753383i	$0.271579\pi$
$313$	3.47030	+	29.0245i	0.196153	+	1.64056i	−0.461429	+	0.887177i	$0.652663\pi$
$314$	5.15510	−	5.94931i	0.290919	−	0.335739i
$315$	−9.71657	−	14.5585i	−0.547467	−	0.820276i
$316$	31.4777	−	48.9802i	1.77076	−	2.75535i
$317$	−7.13851	−	16.6700i	−0.400938	−	0.936280i	−0.991598	−	0.129359i	$-0.958708\pi$
$317$	−7.13851	−	16.6700i	−0.400938	−	0.936280i	0.590659	−	0.806921i	$-0.298868\pi$
$318$	0.724899	+	2.26768i	0.0406503	+	0.127165i
$319$	2.27128	−	6.56243i	0.127167	−	0.367426i
$320$	69.1550	+	64.4056i	3.86588	+	3.60038i
$321$		−	0.435561i		−	0.0243106i
$322$	16.5502	+	31.1750i	0.922309	+	1.73731i
$323$	2.71408	−	2.71408i	0.151015	−	0.151015i
$324$	−48.1153	−	11.6726i	−2.67307	−	0.648480i
$325$	−13.2326	+	20.5764i	−0.734015	+	1.14137i
$326$	43.3960	+	22.3722i	2.40348	+	1.23908i
$327$	0.380603	−	0.162984i	0.0210474	−	0.00901302i
$328$	−32.1619	+	6.99639i	−1.77584	+	0.386311i
$329$	2.01631	+	1.81250i	0.111163	+	0.0999265i
$330$	1.61037	+	4.48184i	0.0886478	+	0.246717i
$331$	12.0929	+	9.50996i	0.664686	+	0.522715i	0.892533	−	0.450982i	$-0.148926\pi$
$331$	12.0929	+	9.50996i	0.664686	+	0.522715i	−0.227847	+	0.973697i	$0.573169\pi$
$332$	−8.41518	−	50.0432i	−0.461843	−	2.74648i
$333$	0.308758	−	0.506550i	0.0169198	−	0.0277588i
$334$	0.365572	+	0.383401i	0.0200032	+	0.0209787i
$335$	−16.7288	−	19.7830i	−0.913992	−	1.08086i
$336$	9.36744	−	0.722523i	0.511036	−	0.0394168i
$337$	0.491050	+	6.86577i	0.0267492	+	0.374002i	0.993141	+	0.116927i	$0.0373043\pi$
$337$	0.491050	+	6.86577i	0.0267492	+	0.374002i	−0.966391	+	0.257075i	$0.917241\pi$
$338$	−30.0092	−	5.04630i	−1.63229	−	0.274482i
$339$	−0.0896018	+	1.88097i	−0.00486650	+	0.102160i
$340$	57.1584	+	41.7498i	3.09985	+	2.26420i
$341$	−10.0888	+	0.480590i	−0.546341	+	0.0260254i
$342$	−5.71121	−	0.408474i	−0.308827	−	0.0220877i
$343$	−18.2851	+	2.94214i	−0.987301	+	0.158861i
$344$	47.8515			2.57998
$345$	−1.92150	+	1.03533i	−0.103450	+	0.0557403i
$346$	−21.6104	−	37.4304i	−1.16178	−	2.01227i
$347$	−0.351855	−	14.7811i	−0.0188885	−	0.793488i	−0.927065	−	0.374901i	$-0.877677\pi$
$347$	−0.351855	−	14.7811i	−0.0188885	−	0.793488i	0.908176	−	0.418588i	$-0.137475\pi$
$348$	1.20841	−	1.78542i	0.0647775	−	0.0957087i
$349$	17.3023	+	26.9229i	0.926171	+	1.44115i	0.897227	+	0.441570i	$0.145578\pi$
$349$	17.3023	+	26.9229i	0.926171	+	1.44115i	0.0289444	+	0.999581i	$0.490785\pi$
$350$	22.5945	−	29.0449i	1.20773	−	1.55252i
$351$	4.99193	+	3.20812i	0.266449	+	0.171237i
$352$	102.895	+	17.3026i	5.48432	+	0.922233i
$353$	1.53235	−	1.03713i	0.0815589	−	0.0552007i	−0.519048	−	0.854745i	$-0.673713\pi$
$353$	1.53235	−	1.03713i	0.0815589	−	0.0552007i	0.600607	+	0.799544i	$0.294926\pi$
$354$	−0.364557	−	0.910620i	−0.0193760	−	0.0483989i
$355$	−23.9654	−	16.6450i	−1.27195	−	0.883423i
$356$	−14.6118	+	49.7631i	−0.774422	+	2.63744i
$357$	2.91399	−	0.578506i	0.154225	−	0.0306178i
$358$	11.8924	+	4.43563i	0.628531	+	0.234430i
$359$	23.4316	+	18.4268i	1.23667	+	0.972531i	1.00000		0.000941589i	$0.000299717\pi$
$359$	23.4316	+	18.4268i	1.23667	+	0.972531i	0.236674	+	0.971589i	$0.423943\pi$
$360$	−5.71254	−	68.5476i	−0.301077	−	3.61277i
$361$	18.4321	−	1.76005i	0.970111	−	0.0926344i
$362$	−10.7625	+	33.6680i	−0.565664	+	1.76955i
$363$	0.513359	+	0.384296i	0.0269444	+	0.0201703i
$364$	71.8522	+	18.8237i	3.76608	+	0.986631i
$365$	2.19058	+	1.44540i	0.114660	+	0.0756560i
$366$	−7.79386	−	1.89077i	−0.407392	−	0.0988321i
$367$	−7.20576	−	1.93078i	−0.376138	−	0.100786i	0.0657970	−	0.997833i	$-0.479041\pi$
$367$	−7.20576	−	1.93078i	−0.376138	−	0.100786i	−0.441935	+	0.897047i	$0.645708\pi$
$368$	−1.45004	+	83.6600i	−0.0755885	+	4.36108i
$369$	8.11086	+	4.68281i	0.422235	+	0.243777i
$370$	1.21541	+	0.279784i	0.0631864	+	0.0145453i
$371$	1.25913	−	11.0537i	0.0653705	−	0.573881i
$372$	−3.06403	−	0.666539i	−0.158862	−	0.0345584i
$373$	−0.357198	−	0.834137i	−0.0184950	−	0.0431900i	0.909759	−	0.415137i	$-0.136266\pi$
$373$	−0.357198	−	0.834137i	−0.0184950	−	0.0431900i	−0.928254	+	0.371947i	$0.878690\pi$
$374$	57.6631	+	2.74683i	2.98169	+	0.142035i
$375$	1.80471	+	1.38614i	0.0931948	+	0.0715798i
$376$	3.48481	+	10.0687i	0.179716	+	0.519254i
$377$	7.23081	−	5.41291i	0.372405	−	0.278779i
$378$	−7.04673	−	5.47826i	−0.362445	−	0.281771i
$379$	−21.9622	−	6.44867i	−1.12812	−	0.331246i	−0.336151	−	0.941808i	$-0.609125\pi$
$379$	−21.9622	−	6.44867i	−1.12812	−	0.331246i	−0.791968	+	0.610562i	$0.790944\pi$
$380$	−2.20622	−	8.64947i	−0.113176	−	0.443708i
$381$	1.01542	−	1.42595i	0.0520214	−	0.0730538i
$382$	−20.9026	+	48.8122i	−1.06947	+	2.49745i
$383$	−10.5200	+	21.6562i	−0.537545	+	1.10658i	0.440416	+	0.897794i	$0.354831\pi$
$383$	−10.5200	+	21.6562i	−0.537545	+	1.10658i	−0.977961	+	0.208789i	$0.933048\pi$
$384$	11.4948	+	5.24952i	0.586594	+	0.267888i
$385$	1.73135	−	22.1873i	0.0882380	−	1.13077i
$386$	7.67772	+	53.3997i	0.390785	+	2.71797i
$387$	−10.0752	−	9.15896i	−0.512151	−	0.465576i
$388$	−77.1765	+	37.4900i	−3.91804	+	1.90327i
$389$	−9.39409	−	8.95724i	−0.476299	−	0.454150i	0.413499	−	0.910505i	$-0.364307\pi$
$389$	−9.39409	−	8.95724i	−0.476299	−	0.454150i	−0.889798	+	0.456354i	$0.849155\pi$
$390$	−1.53283	+	6.00167i	−0.0776176	+	0.303906i
$391$	2.68532	+	26.3214i	0.135803	+	1.33113i
$392$	−68.4729	−	24.6723i	−3.45840	−	1.24614i
$393$	0.421897	−	0.772647i	0.0212819	−	0.0389749i
$394$	−3.34609	−	17.3612i	−0.168574	−	0.874644i
$395$	−12.4904	−	18.9425i	−0.628460	−	0.953102i
$396$	−39.4746	−	50.1960i	−1.98367	−	2.52244i
$397$	−19.8726	−	6.35259i	−0.997378	−	0.318827i	−0.239268	−	0.970954i	$-0.576907\pi$
$397$	−19.8726	−	6.35259i	−0.997378	−	0.318827i	−0.758110	+	0.652126i	$0.773877\pi$
$398$	8.76481	−	3.26911i	0.439340	−	0.163865i
$399$	−0.329826	−	0.177717i	−0.0165119	−	0.00889697i
$400$	80.2020	−	34.3151i	4.01010	−	1.71575i
$401$	−0.135930	+	1.42352i	−0.00678802	+	0.0710874i	−0.998231	−	0.0594517i	$-0.981065\pi$
$401$	−0.135930	+	1.42352i	−0.00678802	+	0.0710874i	0.991443	+	0.130539i	$0.0416708\pi$
$402$	−5.60138	−	3.41422i	−0.279371	−	0.170286i
$403$	−11.2176	−	6.83750i	−0.558790	−	0.340600i
$404$	−6.52074	+	68.2883i	−0.324419	+	3.39747i
$405$	−11.7483	+	15.3057i	−0.583776	+	0.760548i
$406$	−11.5615	+	7.13588i	−0.573788	+	0.354148i
$407$	0.706719	−	0.263592i	0.0350307	−	0.0130658i
$408$	11.1207	+	3.55492i	0.550559	+	0.175995i
$409$	−19.2378	−	24.4629i	−0.951249	−	1.20961i	−0.977710	−	0.209962i	$-0.932666\pi$
$409$	−19.2378	−	24.4629i	−0.951249	−	1.20961i	0.0264603	−	0.999650i	$-0.491576\pi$
$410$	−3.95918	+	19.2880i	−0.195530	+	0.952565i
$411$	0.540084	+	2.80222i	0.0266404	+	0.138224i
$412$	−2.50357	+	4.58495i	−0.123342	+	0.225884i
$413$	−0.192554	+	4.57965i	−0.00947497	+	0.225350i
$414$	27.0513	−	28.7406i	1.32950	−	1.41252i
$415$	−19.1609	−	4.89370i	−0.940573	−	0.240222i
$416$	98.2196	+	93.6522i	4.81561	+	4.59168i
$417$	1.40743	−	0.683687i	0.0689222	−	0.0334803i
$418$	−5.38697	−	4.89708i	−0.263486	−	0.239524i
$419$	4.32108	+	30.0538i	0.211098	+	1.46822i	0.769498	+	0.638650i	$0.220507\pi$
$419$	4.32108	+	30.0538i	0.211098	+	1.46822i	−0.558399	+	0.829572i	$0.688584\pi$
$420$	2.30198	−	6.51434i	0.112325	−	0.317867i
$421$	−1.45140	−	0.662834i	−0.0707371	−	0.0323046i	0.379732	−	0.925096i	$-0.376016\pi$
$421$	−1.45140	−	0.662834i	−0.0707371	−	0.0323046i	−0.450469	+	0.892792i	$0.648743\pi$
$422$	0.546747	−	1.12553i	0.0266152	−	0.0547898i
$423$	1.19346	−	2.78699i	0.0580279	−	0.135508i
$424$	25.3605	−	35.6138i	1.23161	−	1.72956i
$425$	23.8930	−	13.7848i	1.15898	−	0.668659i
$426$	−7.08879	−	2.08146i	−0.343453	−	0.100847i
$427$	29.5880	+	23.0023i	1.43186	+	1.11316i
$428$	−9.82966	+	7.35839i	−0.475134	+	0.355681i
$429$	1.22525	+	3.54013i	0.0591556	+	0.170919i
$430$	11.5851	−	26.1771i	0.558682	−	1.26237i
$431$	4.86941	+	0.231959i	0.234551	+	0.0111731i	0.164528	−	0.986372i	$-0.447390\pi$
$431$	4.86941	+	0.231959i	0.234551	+	0.0111731i	0.0700228	+	0.997545i	$0.477693\pi$
$432$	−8.32938	−	19.4510i	−0.400748	−	0.935834i
$433$	−19.6781	−	4.28072i	−0.945671	−	0.205718i	−0.286814	−	0.957986i	$-0.592596\pi$
$433$	−19.6781	−	4.28072i	−0.945671	−	0.205718i	−0.658857	+	0.752268i	$0.728960\pi$
$434$	15.8851	+	11.7537i	0.762510	+	0.564198i
$435$	−0.445680	−	0.712226i	−0.0213687	−	0.0341486i
$436$	−10.1081	−	5.83593i	−0.484091	−	0.279490i
$437$	1.85229	−	2.77527i	0.0886072	−	0.132759i
$438$	0.641874	+	0.171990i	0.0306699	+	0.00821798i
$439$	15.9678	+	3.87375i	0.762101	+	0.184884i	0.597930	−	0.801548i	$-0.295990\pi$
$439$	15.9678	+	3.87375i	0.762101	+	0.184884i	0.164171	+	0.986432i	$0.447505\pi$
$440$	48.1670	−	72.9992i	2.29627	−	3.48010i
$441$	9.69468	+	18.3008i	0.461651	+	0.871465i
$442$	60.1096	+	44.9975i	2.85912	+	2.14031i
$443$	−8.41232	+	26.3160i	−0.399681	+	1.25031i	0.518816	+	0.854886i	$0.326373\pi$
$443$	−8.41232	+	26.3160i	−0.399681	+	1.25031i	−0.918498	+	0.395426i	$0.870597\pi$
$444$	0.233109	−	0.0222592i	0.0110629	−	0.00105638i
$445$	15.4294	+	13.0556i	0.731424	+	0.618893i
$446$	−59.9493	−	47.1447i	−2.83868	−	2.23236i
$447$	−0.386339	−	0.144097i	−0.0182732	−	0.00681556i
$448$	−73.6938	−	84.0946i	−3.48171	−	3.97310i
$449$	0.534014	−	1.81868i	0.0252017	−	0.0858290i	−0.945932	−	0.324365i	$-0.894849\pi$
$449$	0.534014	−	1.81868i	0.0252017	−	0.0858290i	0.971134	+	0.238536i	$0.0766675\pi$
$450$	−38.8819	−	13.4707i	−1.83291	−	0.635013i
$451$	4.42579	+	11.0551i	0.208402	+	0.520564i
$452$	43.9632	−	29.7552i	2.06786	−	1.39957i
$453$	−0.157675	−	0.0265144i	−0.00740822	−	0.00124575i
$454$	−15.7344	−	10.1119i	−0.738454	−	0.474576i
$455$	18.0404	−	22.6369i	0.845745	−	1.06124i
$456$	−0.796016	−	1.23863i	−0.0372769	−	0.0580040i
$457$	3.81078	−	5.63042i	0.178261	−	0.263380i	−0.728481	−	0.685066i	$-0.759774\pi$
$457$	3.81078	−	5.63042i	0.178261	−	0.263380i	0.906742	+	0.421686i	$0.138561\pi$
$458$	−0.996181	−	41.8486i	−0.0465485	−	1.95545i
$459$	−3.34538	−	5.79438i	−0.156149	−	0.270458i
$460$	55.8272	+	25.8733i	2.60295	+	1.20635i
$461$	7.38346			0.343882			0.171941	−	0.985107i	$-0.444996\pi$
$461$	7.38346			0.343882			0.171941	+	0.985107i	$0.444996\pi$
$462$	−1.35901	−	5.46857i	−0.0632269	−	0.254421i
$463$	−16.8562	−	1.20558i	−0.783376	−	0.0560281i	−0.326079	−	0.945342i	$-0.605728\pi$
$463$	−16.8562	−	1.20558i	−0.783376	−	0.0560281i	−0.457296	+	0.889314i	$0.651182\pi$
$464$	−32.1715	+	1.53252i	−1.49353	+	0.0711454i
$465$	−0.720777	+	0.986794i	−0.0334252	+	0.0457615i
$466$	3.96552	−	83.2464i	0.183699	−	3.85632i
$467$	−38.3446	−	6.44796i	−1.77438	−	0.298376i	−0.814782	−	0.579767i	$-0.803144\pi$
$467$	−38.3446	−	6.44796i	−1.77438	−	0.298376i	−0.959593	+	0.281391i	$0.909204\pi$
$468$	−5.92537	−	82.8475i	−0.273900	−	3.82963i
$469$	17.3235	+	25.2904i	0.799926	+	1.16780i
$470$	6.35176	+	0.531320i	0.292985	+	0.0245080i
$471$	−0.397483	−	0.416868i	−0.0183151	−	0.0192083i
$472$	−9.37537	+	15.3813i	−0.431536	+	0.707980i
$473$	−2.87091	−	17.0726i	−0.132004	−	0.785001i
$474$	−4.51595	−	3.55138i	−0.207424	−	0.163120i
$475$	−3.43034	−	0.577934i	−0.157395	−	0.0265174i
$476$	−62.2848	−	55.9892i	−2.85482	−	2.56626i
$477$	−12.1563	+	2.64444i	−0.556598	+	0.121081i
$478$	−7.94694	+	3.40308i	−0.363485	+	0.155653i
$479$	12.0474	+	6.21088i	0.550461	+	0.283782i	0.710935	−	0.703258i	$-0.248272\pi$
$479$	12.0474	+	6.21088i	0.550461	+	0.283782i	−0.160474	+	0.987040i	$0.551302\pi$
$480$	9.44261	−	8.37825i	0.430994	−	0.382413i
$481$	0.953416	+	0.231296i	0.0434720	+	0.0105462i
$482$	−29.6509	+	29.6509i	−1.35056	+	1.35056i
$483$	2.38585	−	0.988664i	0.108560	−	0.0449858i
$484$		−	18.0777i		−	0.821714i
$485$	1.18826	+	33.4159i	0.0539561	+	1.51734i
$486$	−4.90805	+	14.1809i	−0.222634	+	0.643258i
$487$	−2.89172	−	9.04608i	−0.131036	−	0.409917i	0.864686	−	0.502312i	$-0.167517\pi$
$487$	−2.89172	−	9.04608i	−0.131036	−	0.409917i	−0.995722	+	0.0923955i	$0.970548\pi$
$488$	57.9774	+	135.390i	2.62451	+	6.12882i
$489$	1.93138	−	3.00529i	0.0873402	−	0.135904i
$490$	−30.0746	+	31.4847i	−1.35863	+	1.42233i
$491$	−15.4985	+	17.8862i	−0.699435	+	0.807191i	−0.988676	−	0.150065i	$-0.952052\pi$
$491$	−15.4985	+	17.8862i	−0.699435	+	0.807191i	0.289241	+	0.957256i	$0.406597\pi$
$492$	0.438897	+	3.67079i	0.0197870	+	0.165492i
$493$	−10.0434	+	1.68889i	−0.452334	+	0.0760637i
$494$	−2.23244	−	9.20225i	−0.100442	−	0.414029i
$495$	−24.1139	+	6.15073i	−1.08384	+	0.276455i
$496$	19.4602	+	42.6118i	0.873787	+	1.91333i
$497$	26.2177	+	22.4629i	1.17603	+	1.00760i
$498$	−4.99454	+	0.357216i	−0.223811	+	0.0160073i
$499$	−25.7570	+	18.3415i	−1.15304	+	0.821077i	−0.986306	−	0.164925i	$-0.947262\pi$
$499$	−25.7570	+	18.3415i	−1.15304	+	0.821077i	−0.166735	+	0.986002i	$0.553322\pi$
$500$	0.793228	−	64.1459i	0.0354743	−	2.86869i
$501$	0.0304689	−	0.0239610i	0.00136125	−	0.00107050i
$502$	23.9451	+	21.7675i	1.06872	+	0.971531i
$503$	2.33734	−	32.6803i	0.104217	−	1.45714i	−0.629136	−	0.777296i	$-0.716591\pi$
$503$	2.33734	−	32.6803i	0.104217	−	1.45714i	0.733353	−	0.679849i	$-0.237954\pi$
$504$	−1.48288	+	81.3742i	−0.0660527	+	3.62470i
$505$	23.3073	+	13.0939i	1.03716	+	0.582671i
$506$	49.6255	−	7.46305i	2.20612	−	0.331773i
$507$	−0.576285	+	2.15073i	−0.0255937	+	0.0955171i
$508$	−49.3352	+	1.17440i	−2.18889	+	0.0521054i
$509$	−2.91279	−	15.1130i	−0.129107	−	0.669873i	−0.987593	−	0.157035i	$-0.949806\pi$
$509$	−2.91279	−	15.1130i	−0.129107	−	0.669873i	0.858486	−	0.512838i	$-0.171406\pi$
$510$	4.63710	−	5.22292i	0.205334	−	0.231275i
$511$	−2.40556	−	1.96373i	−0.106416	−	0.0868703i
$512$	−25.7458	−	118.351i	−1.13781	−	5.23045i
$513$	−0.139924	+	0.832094i	−0.00617778	+	0.0367379i
$514$	−6.55188	+	33.9944i	−0.288991	+	1.49943i
$515$	1.23907	+	1.61531i	0.0546000	+	0.0711790i
$516$	0.510900	−	5.35038i	0.0224911	−	0.235538i
$517$	3.38328	−	1.84741i	0.148796	−	0.0812489i
$518$	−1.39722	−	0.474869i	−0.0613902	−	0.0208646i
$519$	−2.87667	+	1.31373i	−0.126272	+	0.0576665i
$520$	105.103	−	43.5159i	4.60906	−	1.90830i
$521$	−6.61389	+	34.3161i	−0.289760	+	1.50342i	0.486878	+	0.873470i	$0.338136\pi$
$521$	−6.61389	+	34.3161i	−0.289760	+	1.50342i	−0.776638	+	0.629947i	$0.783077\pi$
$522$	11.7154	+	9.67308i	0.512770	+	0.423379i
$523$	−22.6822	−	7.25071i	−0.991824	−	0.317052i	−0.235947	−	0.971766i	$-0.575819\pi$
$523$	−22.6822	−	7.25071i	−0.991824	−	0.317052i	−0.755876	+	0.654714i	$0.772789\pi$
$524$	−24.5645	+	3.53185i	−1.07311	+	0.154289i
$525$	−1.95844	−	1.84776i	−0.0854731	−	0.0806430i
$526$	−27.5733	+	23.8924i	−1.20226	+	1.04176i
$527$	7.70960	+	12.6484i	0.335836	+	0.550973i
$528$	3.45736	−	12.9030i	0.150462	−	0.561532i
$529$	6.76483	+	21.9827i	0.294123	+	0.955768i
$530$	−13.3426	−	22.4957i	−0.579565	−	0.977150i
$531$	4.91803	−	1.44406i	0.213424	−	0.0626670i
$532$	1.56141	+	10.4458i	0.0676958	+	0.452883i
$533$	−3.29234	+	15.1346i	−0.142607	+	0.655554i
$534$	4.75104	+	1.90203i	0.205598	+	0.0823089i
$535$	1.07199	+	4.66350i	0.0463464	+	0.201620i
$536$	11.4513	+	119.923i	0.494621	+	5.17990i
$537$	0.405798	−	0.835371i	0.0175115	−	0.0360489i
$538$	−52.7557	−	70.4733i	−2.27446	−	3.03832i
$539$	−4.69458	+	25.9103i	−0.202210	+	1.11603i
$540$	−15.5591	−	0.187575i	−0.669556	−	0.00807196i
$541$	−14.2053	+	13.5447i	−0.610734	+	0.582334i	−0.931011	−	0.364990i	$-0.881072\pi$
$541$	−14.2053	+	13.5447i	−0.610734	+	0.582334i	0.320277	+	0.947324i	$0.396224\pi$
$542$	39.4357	−	6.63144i	1.69391	−	0.284845i
$543$	2.37747	+	1.01809i	0.102027	+	0.0436905i
$544$	−50.0486	−	144.606i	−2.14582	−	6.19993i
$545$	−3.67394	+	2.68178i	−0.157374	+	0.114875i
$546$	2.52295	−	6.88129i	0.107972	−	0.294492i
$547$	−2.07304	+	2.76926i	−0.0886370	+	0.118405i	−0.842668	−	0.538434i	$-0.819016\pi$
$547$	−2.07304	+	2.76926i	−0.0886370	+	0.118405i	0.754031	+	0.656839i	$0.228107\pi$
$548$	54.1159	−	59.5295i	2.31172	−	2.54297i
$549$	13.7069	−	39.6036i	0.584998	−	1.69024i
$550$	−28.2726	−	44.0231i	−1.20555	−	1.87715i
$551$	1.11230	+	0.642184i	0.0473854	+	0.0273580i
$552$	10.0850	+	1.13969i	0.429247	+	0.0485083i
$553$	12.4349	+	23.7936i	0.528788	+	1.01181i
$554$	9.98598	+	34.0091i	0.424264	+	1.44491i
$555$	0.0288325	−	0.0865829i	0.00122387	−	0.00367524i
$556$	−39.2066	−	20.2124i	−1.66273	−	0.857196i
$557$	−3.58781	+	30.0073i	−0.152020	+	1.27145i	0.686722	+	0.726920i	$0.259049\pi$
$557$	−3.58781	+	30.0073i	−0.152020	+	1.27145i	−0.838743	+	0.544528i	$0.816709\pi$
$558$	6.72829	−	21.0479i	0.284831	−	0.891030i
$559$	9.35424	−	20.4829i	0.395642	−	0.866336i
$560$	−98.5178	+	30.7910i	−4.16314	+	1.30116i
$561$	0.601135	−	4.18098i	0.0253799	−	0.176521i
$562$	2.69947	−	2.22887i	0.113870	−	0.0940192i
$563$	−12.1323	+	19.9043i	−0.511315	+	0.838865i	−0.999425	−	0.0339170i	$-0.989202\pi$
$563$	−12.1323	+	19.9043i	−0.511315	+	0.838865i	0.488110	+	0.872782i	$0.337687\pi$
$564$	1.16301	−	0.282143i	0.0489716	−	0.0118804i
$565$	−3.67007	−	20.3599i	−0.154401	−	0.856547i
$566$	−14.9828	−	2.15420i	−0.629773	−	0.0905476i
$567$	15.6620	−	16.6104i	0.657741	−	0.697570i
$568$	47.4145	+	127.123i	1.98947	+	5.33397i
$569$	17.1442	−	8.83845i	0.718723	−	0.370527i	−0.0597436	−	0.998214i	$-0.519028\pi$
$569$	17.1442	−	8.83845i	0.718723	−	0.370527i	0.778466	+	0.627686i	$0.215998\pi$
$570$	−0.870307	+	0.135582i	−0.0364532	+	0.00567892i
$571$	−2.14220	+	4.15528i	−0.0896481	+	0.173893i	−0.929397	−	0.369082i	$-0.879672\pi$
$571$	−2.14220	+	4.15528i	−0.0896481	+	0.173893i	0.839749	+	0.542975i	$0.182702\pi$
$572$	59.1936	−	87.4584i	2.47501	−	3.65682i
$573$	3.41002	+	1.86201i	0.142456	+	0.0777867i
$574$	6.96991	−	22.2306i	0.290918	−	0.927889i
$575$	18.0252	−	15.8143i	0.751702	−	0.659503i
$576$	−62.5180	+	108.284i	−2.60492	+	4.51185i
$577$	0.669551	+	28.1271i	0.0278738	+	1.17095i	0.824279	+	0.566185i	$0.191581\pi$
$577$	0.669551	+	28.1271i	0.0278738	+	1.17095i	−0.796405	+	0.604764i	$0.793267\pi$
$578$	−16.3306	−	33.6179i	−0.679262	−	1.39832i
$579$	3.94295	−	0.187826i	0.163863	−	0.00780578i
$580$	−8.54404	+	22.0904i	−0.354772	+	0.917255i
$581$	21.9692	+	8.05476i	0.911437	+	0.334168i
$582$	2.95866	+	7.93248i	0.122640	+	0.328812i
$583$	−14.2280	−	6.91151i	−0.589262	−	0.286246i
$584$	−4.53557	−	11.3293i	−0.187683	−	0.468810i
$585$	−30.4586	−	10.9547i	−1.25931	−	0.452923i
$586$	−32.3778	−	33.9569i	−1.33752	−	1.40275i
$587$	−13.6781	−	25.0496i	−0.564556	−	1.03391i	−0.991559	−	0.129656i	$-0.958613\pi$
$587$	−13.6781	−	25.0496i	−0.564556	−	1.03391i	0.427003	−	0.904250i	$-0.359569\pi$
$588$	−3.48974	+	7.39268i	−0.143914	+	0.304869i
$589$	0.265852	−	1.84904i	0.0109542	−	0.0761884i
$590$	6.14447	+	8.85265i	0.252964	+	0.364458i
$591$	−1.28783	+	0.122973i	−0.0529744	+	0.00505844i
$592$	−2.35319	−	2.58860i	−0.0967156	−	0.106391i
$593$	10.6014	−	4.53980i	0.435349	−	0.186427i	−0.164780	−	0.986330i	$-0.552692\pi$
$593$	10.6014	−	4.53980i	0.435349	−	0.186427i	0.600129	+	0.799903i	$0.295116\pi$
$594$	−10.6760	+	6.86103i	−0.438040	+	0.281511i
$595$	−29.7760	+	13.3659i	−1.22070	+	0.547947i
$596$	3.27488	+	11.1532i	0.134144	+	0.456854i
$597$	−0.177155	−	0.661152i	−0.00725048	−	0.0270592i
$598$	58.8953	+	28.1401i	2.40841	+	1.15074i
$599$	17.7752	−	10.2625i	0.726273	−	0.419314i	−0.0907841	−	0.995871i	$-0.528937\pi$
$599$	17.7752	−	10.2625i	0.726273	−	0.419314i	0.817057	+	0.576557i	$0.195604\pi$
$600$	−3.21873	−	10.0799i	−0.131404	−	0.411508i
$601$	3.00403	+	3.46684i	0.122537	+	0.141415i	0.813703	−	0.581281i	$-0.197448\pi$
$601$	3.00403	+	3.46684i	0.122537	+	0.141415i	−0.691166	+	0.722696i	$0.742903\pi$
$602$	−16.7715	+	29.4271i	−0.683556	+	1.19936i
$603$	20.5427	−	27.4418i	0.836563	−	1.11752i
$604$	2.06540	+	4.00632i	0.0840400	+	0.163015i
$605$	−6.44230	−	2.85114i	−0.261917	−	0.115915i
$606$	6.64661	+	1.28103i	0.270000	+	0.0520383i
$607$	−0.898094	−	7.51136i	−0.0364525	−	0.304877i	−0.999383	−	0.0351268i	$-0.988816\pi$
$607$	−0.898094	−	7.51136i	−0.0364525	−	0.304877i	0.962930	−	0.269750i	$-0.0869411\pi$
$608$	−6.74386	+	18.0810i	−0.273500	+	0.733281i
$609$	0.439353	+	0.891754i	0.0178035	+	0.0361357i
$610$	88.1015	+	1.06212i	3.56712	+	0.0430041i
$611$	4.99116	+	0.476598i	0.201921	+	0.0192811i
$612$	−36.8666	+	86.0916i	−1.49024	+	3.48005i
$613$	21.9998	+	32.5046i	0.888562	+	1.31285i	0.949195	+	0.314689i	$0.101900\pi$
$613$	21.9998	+	32.5046i	0.888562	+	1.31285i	−0.0606325	+	0.998160i	$0.519312\pi$
$614$	61.2890	−	43.6437i	2.47342	−	1.76132i
$615$	1.37737	+	0.422533i	0.0555409	+	0.0170382i
$616$	−65.4397	+	80.1633i	−2.63664	+	3.22987i
$617$	5.66648	−	26.0484i	0.228124	−	1.04867i	−0.710492	−	0.703705i	$-0.751528\pi$
$617$	5.66648	−	26.0484i	0.228124	−	1.04867i	0.938616	−	0.344964i	$-0.112109\pi$
$618$	0.426885	+	0.288924i	0.0171718	+	0.0116222i
$619$	−11.6977	−	11.1537i	−0.470171	−	0.448307i	0.417574	−	0.908643i	$-0.362880\pi$
$619$	−11.6977	−	11.1537i	−0.470171	−	0.448307i	−0.887745	+	0.460336i	$0.847729\pi$
$620$	34.4467	−	0.404589i	1.38341	−	0.0162487i
$621$	−3.83723	−	4.37094i	−0.153983	−	0.175400i
$622$	18.4159	+	18.4159i	0.738411	+	0.738411i
$623$	−16.5994	−	17.2156i	−0.665042	−	0.689730i
$624$	13.1310	−	11.3780i	0.525659	−	0.455486i
$625$	−22.7344	−	10.3995i	−0.909374	−	0.415979i
$626$	−50.2639	−	63.9157i	−2.00895	−	2.55459i
$627$	−0.394164	+	0.358318i	−0.0157414	+	0.0143099i
$628$	−2.69271	+	16.0129i	−0.107451	+	0.638986i
$629$	−0.836013	−	0.724410i	−0.0333340	−	0.0288841i
$630$	44.1566	+	20.5123i	1.75924	+	0.817229i
$631$	14.4136	−	6.58246i	0.573795	−	0.262043i	−0.107314	−	0.994225i	$-0.534225\pi$
$631$	14.4136	−	6.58246i	0.573795	−	0.262043i	0.681109	+	0.732182i	$0.261498\pi$
$632$	−2.51078	+	105.475i	−0.0998736	+	4.19559i
$633$	−0.0781788	−	0.0476525i	−0.00310733	−	0.00189402i
$634$	41.0901	+	29.2602i	1.63190	+	1.16207i
$635$	−7.36241	+	17.7666i	−0.292168	+	0.705047i
$636$	−3.71129	−	3.21585i	−0.147162	−	0.127517i
$637$	−23.9464	+	24.4869i	−0.948792	+	0.970205i
$638$	4.10615	+	18.8756i	0.162564	+	0.747294i
$639$	14.3487	−	35.8412i	0.567624	−	1.41786i
$640$	−135.994	−	27.9151i	−5.37563	−	1.10344i
$641$	−35.6014	−	12.3218i	−1.40617	−	0.486681i	−0.484547	−	0.874765i	$-0.661016\pi$
$641$	−35.6014	−	12.3218i	−1.40617	−	0.486681i	−0.921624	+	0.388084i	$0.873137\pi$
$642$	0.630597	+	1.03456i	0.0248877	+	0.0408308i
$643$	9.27062	+	9.27062i	0.365598	+	0.365598i	0.865869	−	0.500271i	$-0.166766\pi$
$643$	9.27062	+	9.27062i	0.365598	+	0.365598i	−0.500271	+	0.865869i	$0.666766\pi$
$644$	−62.6186	−	37.1408i	−2.46752	−	1.46355i
$645$	−1.82612	−	1.02591i	−0.0719035	−	0.0403950i
$646$	−2.51718	+	10.3760i	−0.0990373	+	0.408237i
$647$	26.4346	−	12.8412i	1.03925	−	0.504838i	0.162968	−	0.986631i	$-0.447893\pi$
$647$	26.4346	−	12.8412i	1.03925	−	0.504838i	0.876285	+	0.481793i	$0.160014\pi$
$648$	85.4583	−	27.3181i	3.35712	−	1.07315i
$649$	6.05027	+	2.42216i	0.237494	+	0.0950782i
$650$	1.64058	−	68.0317i	0.0643487	−	2.66842i
$651$	0.966608	−	1.07530i	0.0378844	−	0.0421442i
$652$	−100.452	+	7.18446i	−3.93400	+	0.281365i
$653$	32.7742	−	3.91863i	1.28255	−	0.153348i	0.550638	−	0.834744i	$-0.314384\pi$
$653$	32.7742	−	3.91863i	1.28255	−	0.153348i	0.731915	+	0.681396i	$0.238627\pi$
$654$	−0.668057	+	0.938155i	−0.0261231	+	0.0366848i
$655$	−2.61558	+	9.31101i	−0.102199	+	0.363811i
$656$	39.9717	−	38.1129i	1.56063	−	1.48806i
$657$	−1.21350	+	3.25353i	−0.0473433	+	0.126932i
$658$	−7.41331	−	1.38595i	−0.289001	−	0.0540299i
$659$	−28.8390	+	33.2820i	−1.12341	+	1.29648i	−0.173193	+	0.984888i	$0.555409\pi$
$659$	−28.8390	+	33.2820i	−1.12341	+	1.29648i	−0.950215	+	0.311595i	$0.899137\pi$
$660$	−7.64793	−	6.16505i	−0.297695	−	0.239974i
$661$	−9.62772	−	0.458625i	−0.374475	−	0.0178384i	−0.140499	−	0.990081i	$-0.544871\pi$
$661$	−9.62772	−	0.458625i	−0.374475	−	0.0178384i	−0.233976	+	0.972242i	$0.575174\pi$
$662$	−42.4919	−	5.08052i	−1.65149	−	0.197460i
$663$	3.69562	−	4.06532i	0.143526	−	0.157884i
$664$	60.2185	+	69.4958i	2.33693	+	2.69696i
$665$	3.96880	+	1.09103i	0.153903	+	0.0423084i
$666$			1.65019i			0.0639436i
$667$	−8.27498	+	3.14753i	−0.320408	+	0.121873i
$668$	−1.05549	−	0.282818i	−0.0408382	−	0.0109426i
$669$	−3.85090	+	4.03871i	−0.148885	+	0.156146i
$670$	68.3763	+	22.7696i	2.64161	+	0.879666i
$671$	44.8265	−	28.8083i	1.73051	−	1.11213i
$672$	−12.1184	+	8.73181i	−0.467479	+	0.336837i
$673$	29.8369	−	6.49063i	1.15013	−	0.250195i	0.403209	−	0.915108i	$-0.367895\pi$
$673$	29.8369	−	6.49063i	1.15013	−	0.250195i	0.746921	+	0.664913i	$0.231531\pi$
$674$	−11.1065	−	15.5969i	−0.427806	−	0.600770i
$675$	−2.52075	+	5.51515i	−0.0970238	+	0.212278i
$676$	58.2730	−	23.3290i	2.24127	−	0.897269i
$677$	3.16341	−	2.61193i	0.121580	−	0.100385i	−0.573919	−	0.818912i	$-0.694578\pi$
$677$	3.16341	−	2.61193i	0.121580	−	0.100385i	0.695498	+	0.718528i	$0.255184\pi$
$678$	−2.51042	−	4.59748i	−0.0964119	−	0.176565i
$679$	2.60220	−	39.4775i	0.0998633	−	1.51501i
$680$	−127.818	−	10.6919i	−4.90159	−	0.410014i
$681$	−0.845972	+	1.07574i	−0.0324177	+	0.0412225i
$682$	23.2676	−	15.7479i	0.890961	−	0.603020i
$683$	−16.4188	+	19.8854i	−0.628248	+	0.760895i	−0.984859	−	0.173358i	$-0.944538\pi$
$683$	−16.4188	+	19.8854i	−0.628248	+	0.760895i	0.356611	+	0.934253i	$0.383932\pi$
$684$	10.4977	−	5.41195i	0.401391	−	0.206931i
$685$	−12.6794	−	28.6738i	−0.484455	−	1.09557i
$686$	39.1718	−	33.4611i	1.49559	−	1.27755i
$687$	−3.05511	−	0.218506i	−0.116560	−	0.00833652i
$688$	−68.5622	+	41.7909i	−2.61391	+	1.59326i
$689$	−10.2870	−	17.8175i	−0.391902	−	0.678794i
$690$	3.06510	−	5.24107i	0.116686	−	0.199524i
$691$	−19.2077	+	33.2687i	−0.730696	+	1.26560i	0.225890	+	0.974153i	$0.427471\pi$
$691$	−19.2077	+	33.2687i	−0.730696	+	1.26560i	−0.956586	+	0.291450i	$0.905862\pi$
$692$	78.2468	+	42.7260i	2.97450	+	1.62420i
$693$	29.1220	−	4.35307i	1.10625	−	0.165360i
$694$	22.2355	+	34.5991i	0.844047	+	1.31336i
$695$	−13.3865	+	10.7841i	−0.507779	+	0.409064i
$696$	−0.185890	+	3.90231i	−0.00704613	+	0.147916i
$697$	11.1192	−	13.4669i	0.421171	−	0.510097i
$698$	−80.0756	−	38.8983i	−3.03091	−	1.47232i
$699$	−6.03596	−	0.867840i	−0.228301	−	0.0328247i
$700$	−8.61406	+	75.4139i	−0.325581	+	2.85038i
$701$	4.87217	−	16.5931i	0.184019	−	0.626712i	−0.814872	−	0.579641i	$-0.803193\pi$
$701$	4.87217	−	16.5931i	0.184019	−	0.626712i	0.998892	−	0.0470714i	$-0.0149888\pi$
$702$	−16.5017	−	0.392813i	−0.622815	−	0.0148258i
$703$	0.0231340	+	0.137573i	0.000872514	+	0.00518865i
$704$	−147.591	+	59.0866i	−5.56255	+	2.22691i
$705$	0.0828784	−	0.458957i	0.00312138	−	0.0172853i
$706$	−2.13817	+	4.68193i	−0.0804710	+	0.176207i
$707$	−25.8682	−	18.2040i	−0.972874	−	0.684632i
$708$	1.61971	+	1.21250i	0.0608726	+	0.0455686i
$709$	2.03879	+	42.7994i	0.0765683	+	1.60737i	0.631436	+	0.775428i	$0.282466\pi$
$709$	2.03879	+	42.7994i	0.0765683	+	1.60737i	−0.554868	+	0.831939i	$0.687231\pi$
$710$	81.0217	+	4.83909i	3.04069	+	0.181608i
$711$	20.7170	−	21.7274i	0.776950	−	0.814842i
$712$	−24.3244	−	90.7800i	−0.911596	−	3.40212i
$713$	8.72319	+	9.47200i	0.326686	+	0.354729i
$714$	−6.08387	+	5.59292i	−0.227683	+	0.209310i
$715$	−21.8315	−	34.8882i	−0.816453	−	1.30474i
$716$	−25.7081	+	4.95483i	−0.960756	+	0.185171i
$717$	0.192602	+	0.602512i	0.00719286	+	0.0225012i
$718$	−82.3337	−	9.84419i	−3.07266	−	0.367382i
$719$	−10.4927	−	20.3530i	−0.391311	−	0.759037i	0.608082	−	0.793874i	$-0.291939\pi$
$719$	−10.4927	−	20.3530i	−0.391311	−	0.759037i	−0.999393	+	0.0348370i	$0.988909\pi$
$720$	68.0506	+	93.2268i	2.53610	+	3.47436i
$721$	−1.26516	−	2.04980i	−0.0471170	−	0.0763387i
$722$	−41.2324	+	30.8662i	−1.53451	+	1.14872i
$723$	1.95350	+	2.36596i	0.0726514	+	0.0879909i
$724$	−17.1890	−	70.8540i	−0.638824	−	2.63327i
$725$	6.52477	+	6.52882i	0.242324	+	0.242474i
$726$	−1.77573	−	0.169561i	−0.0659033	−	0.00629301i
$727$	−16.5544	−	22.1141i	−0.613969	−	0.820167i	0.380545	−	0.924762i	$-0.375736\pi$
$727$	−16.5544	−	22.1141i	−0.613969	−	0.820167i	−0.994515	+	0.104595i	$0.966645\pi$
$728$	−128.931	+	38.6402i	−4.77851	+	1.43210i
$729$	−22.5485	−	10.2976i	−0.835131	−	0.381391i
$730$	−7.29577	−	0.261702i	−0.270028	−	0.00968603i
$731$	−19.9578	+	15.6950i	−0.738166	+	0.580500i
$732$	15.7573	−	5.03705i	0.582405	−	0.186175i
$733$	−2.59130	−	1.75384i	−0.0957118	−	0.0647796i	0.511715	−	0.859155i	$-0.329010\pi$
$733$	−2.59130	−	1.75384i	−0.0957118	−	0.0647796i	−0.607427	+	0.794376i	$0.707798\pi$
$734$	19.9107	−	5.84632i	0.734918	−	0.215792i
$735$	2.08412	+	2.40957i	0.0768739	+	0.0888782i
$736$	−67.2551	−	114.768i	−2.47906	−	4.23041i
$737$	42.0997	−	11.2806i	1.55076	−	0.415525i
$738$	−26.0449	+	0.619984i	−0.958726	+	0.0228219i
$739$	−11.2705	−	3.90077i	−0.414593	−	0.143492i	0.111805	−	0.993730i	$-0.464337\pi$
$739$	−11.2705	−	3.90077i	−0.414593	−	0.143492i	−0.526398	+	0.850238i	$0.676458\pi$
$740$	−2.44109	+	0.812051i	−0.0897361	+	0.0298516i
$741$	−0.685805	+	0.0986038i	−0.0251937	+	0.00362230i
$742$	13.0127	+	28.0781i	0.477710	+	1.03078i
$743$	12.3591	−	4.60972i	0.453413	−	0.169114i	−0.112374	−	0.993666i	$-0.535845\pi$
$743$	12.3591	−	4.60972i	0.453413	−	0.169114i	0.565786	+	0.824552i	$0.308573\pi$
$744$	5.36965	−	1.85845i	0.196861	−	0.0681342i
$745$	4.49114	+	0.591979i	0.164543	+	0.0216884i
$746$	2.05608	+	1.46413i	0.0752784	+	0.0536055i
$747$	0.622688	−	26.1585i	0.0227830	−	0.957089i
$748$	−104.511	+	57.0675i	−3.82131	+	2.08659i
$749$	−0.703520	−	5.61795i	−0.0257061	−	0.205275i
$750$	−6.29344	−	0.679577i	−0.229804	−	0.0248147i
$751$	23.7613	−	8.22386i	0.867062	−	0.300093i	0.142912	−	0.989735i	$-0.454353\pi$
$751$	23.7613	−	8.22386i	0.867062	−	0.300093i	0.724150	+	0.689642i	$0.242232\pi$
$752$	−13.7865	−	11.3831i	−0.502743	−	0.415100i
$753$	1.75205	−	1.59272i	0.0638484	−	0.0580420i
$754$	−9.33815	+	23.3256i	−0.340076	+	0.849468i
$755$	1.75347	−	0.104181i	0.0638151	−	0.00379154i
$756$	18.2928	+	2.08372i	0.665302	+	0.0757843i
$757$	−1.21856	+	2.23162i	−0.0442892	+	0.0811096i	−0.898886	−	0.438182i	$-0.855622\pi$
$757$	−1.21856	+	2.23162i	−0.0442892	+	0.0811096i	0.854597	+	0.519292i	$0.173804\pi$
$758$	61.5016	−	16.4793i	2.23384	−	0.598555i
$759$	−0.198440	−	3.66655i	−0.00720292	−	0.133087i
$760$	11.5713	+	11.3027i	0.419737	+	0.409991i
$761$	−4.36360	+	17.9870i	−0.158180	+	0.652029i	0.836405	+	0.548111i	$0.184653\pi$
$761$	−4.36360	+	17.9870i	−0.158180	+	0.652029i	−0.994586	+	0.103918i	$0.966862\pi$
$762$	−0.347385	+	4.85708i	−0.0125844	+	0.175953i
$763$	4.64585	−	2.71695i	0.168191	−	0.0983602i
$764$	−15.5875	−	108.414i	−0.563938	−	3.92227i
$765$	24.8657	+	26.7160i	0.899023	+	0.965919i
$766$	−6.36615	−	66.6693i	−0.230018	−	2.40886i
$767$	4.75123	+	7.01994i	0.171557	+	0.253475i
$768$	−17.8210	+	2.13077i	−0.643062	+	0.0768874i
$769$	−20.3974	−	44.6640i	−0.735548	−	1.61063i	−0.790742	−	0.612150i	$-0.790305\pi$
$769$	−20.3974	−	44.6640i	−0.735548	−	1.61063i	0.0551934	−	0.998476i	$-0.482422\pi$
$770$	28.0099	+	55.2066i	1.00941	+	1.98951i
$771$	2.43053	+	0.713668i	0.0875333	+	0.0257021i
$772$	−70.8513	−	85.8107i	−2.54999	−	3.08839i
$773$	13.0299	+	5.57972i	0.468652	+	0.200688i	0.614972	−	0.788549i	$-0.289167\pi$
$773$	13.0299	+	5.57972i	0.468652	+	0.200688i	−0.146320	+	0.989237i	$0.546743\pi$
$774$	37.1912	+	7.16801i	1.33681	+	0.257649i
$775$	5.28859	−	12.3395i	0.189972	−	0.443246i
$776$	84.0580	−	130.797i	3.01750	−	4.69533i
$777$	−0.0443067	+	0.0984683i	−0.00158949	+	0.00353253i
$778$	35.2813	+	7.67498i	1.26490	+	0.275161i
$779$	−2.16261	+	0.416809i	−0.0774836	+	0.0149337i
$780$	−3.74345	−	12.2164i	−0.134037	−	0.437417i
$781$	42.5108	−	24.5436i	1.52115	−	0.878239i
$782$	−44.4859	−	58.6317i	−1.59081	−	2.09667i
$783$	1.58312	−	1.58312i	0.0565760	−	0.0565760i
$784$	119.656	−	24.4496i	4.27344	−	0.873200i
$785$	5.28180	+	3.48508i	0.188515	+	0.124388i
$786$	0.116519	+	2.44603i	0.00415609	+	0.0872472i
$787$	0.387659	−	3.24226i	0.0138186	−	0.115574i	−0.984336	−	0.176305i	$-0.943586\pi$
$787$	0.387659	−	3.24226i	0.0138186	−	0.115574i	0.998154	+	0.0607308i	$0.0193431\pi$
$788$	24.5320	+	26.9861i	0.873916	+	0.961340i
$789$	1.54851	+	2.17458i	0.0551284	+	0.0774170i
$790$	57.0923	+	26.9096i	2.03125	+	0.957401i
$791$	1.88246	+	24.4059i	0.0669325	+	0.867775i
$792$	108.421	+	40.4390i	3.85258	+	1.43694i
$793$	69.2876	+	1.64935i	2.46047	+	0.0585702i
$794$	56.3993	−	13.6823i	2.00154	−	0.485568i
$795$	−1.73135	+	0.815390i	−0.0614047	+	0.0289189i
$796$	−11.9279	+	15.1676i	−0.422773	+	0.537600i
$797$	−0.994427	−	13.9039i	−0.0352244	−	0.492502i	−0.984189	−	0.177120i	$-0.943322\pi$
$797$	−0.994427	−	13.9039i	−0.0352244	−	0.492502i	0.948965	−	0.315382i	$-0.102133\pi$
$798$	1.04071	−	0.0553960i	0.0368407	−	0.00196100i
$799$	−4.75591	−	3.05644i	−0.168252	−	0.108129i
$800$	−80.4805	+	112.945i	−2.84542	+	3.99321i
$801$	−12.2541	+	23.7696i	−0.432977	+	0.839858i
$802$	−1.73809	−	3.57800i	−0.0613740	−	0.126344i
$803$	−3.77000	+	2.29793i	−0.133040	+	0.0810923i
$804$	13.5312			0.477207
$805$	−23.1117	+	16.4575i	−0.814580	+	0.580051i
$806$	36.5437			1.28720
$807$	−5.50010	+	3.35248i	−0.193613	+	0.118013i
$808$	−54.3156	−	111.813i	−1.91082	−	3.93358i
$809$	−22.5871	+	43.8128i	−0.794120	+	1.54038i	0.0466042	+	0.998913i	$0.485160\pi$
$809$	−22.5871	+	43.8128i	−0.794120	+	1.54038i	−0.840724	+	0.541464i	$0.817870\pi$
$810$	5.74556	−	53.3637i	0.201879	−	1.87501i
$811$	−25.2328	−	16.2161i	−0.886042	−	0.569425i	0.0165782	−	0.999863i	$-0.494723\pi$
$811$	−25.2328	−	16.2161i	−0.886042	−	0.569425i	−0.902620	+	0.430438i	$0.858359\pi$
$812$	12.7025	−	24.9806i	0.445770	−	0.876647i
$813$	−0.208739	−	2.91856i	−0.00732081	−	0.102358i
$814$	−1.29700	+	1.64927i	−0.0454598	+	0.0578068i
$815$	−13.2825	+	36.9308i	−0.465266	+	1.29363i
$816$	−19.0386	+	4.61872i	−0.666484	+	0.161687i
$817$	3.20103	+	0.0761987i	0.111990	+	0.00266586i
$818$	81.1113	+	30.2530i	2.83599	+	1.05777i
$819$	34.5425	+	16.5422i	1.20701	+	0.578030i
$820$	−13.7337	−	38.2225i	−0.479602	−	1.33479i
$821$	−18.9393	−	26.5966i	−0.660987	−	0.928227i	0.338934	−	0.940810i	$-0.389934\pi$
$821$	−18.9393	−	26.5966i	−0.660987	−	0.928227i	−0.999921	+	0.0125836i	$0.995994\pi$
$822$	−5.33984	−	5.87402i	−0.186248	−	0.204880i
$823$	2.95247	−	24.6935i	0.102917	−	0.860762i	−0.843348	−	0.537368i	$-0.819419\pi$
$823$	2.95247	−	24.6935i	0.102917	−	0.860762i	0.946264	−	0.323394i	$-0.104824\pi$
$824$	−0.450424	−	9.45556i	−0.0156913	−	0.329400i
$825$	−3.40322	+	1.75314i	−0.118485	+	0.0610366i
$826$	−6.17297	−	11.1565i	−0.214785	−	0.388185i
$827$	31.5665	−	31.5665i	1.09767	−	1.09767i	0.102991	−	0.994682i	$-0.467159\pi$
$827$	31.5665	−	31.5665i	1.09767	−	1.09767i	0.994682	−	0.102991i	$-0.0328413\pi$
$828$	−16.7906	+	79.6626i	−0.583512	+	2.76847i
$829$	−18.8299	+	10.8714i	−0.653989	+	0.377581i	−0.789983	−	0.613129i	$-0.789911\pi$
$829$	−18.8299	+	10.8714i	−0.653989	+	0.377581i	0.135994	+	0.990710i	$0.456577\pi$
$830$	52.5968	−	16.1172i	1.82566	−	0.559435i
$831$	2.54663	−	0.490822i	0.0883415	−	0.0170264i
$832$	−202.055	−	43.9545i	−7.00501	−	1.52385i
$833$	36.6509	−	12.1684i	1.26988	−	0.421610i
$834$	−2.35315	+	3.66157i	−0.0814829	+	0.126790i
$835$	−0.267255	+	0.331538i	−0.00924873	+	0.0114733i
$836$	14.7455	+	2.84196i	0.509984	+	0.0982913i
$837$	−2.99341	−	1.28185i	−0.103468	−	0.0443074i
$838$	−53.7749	−	65.1288i	−1.85762	−	2.24984i
$839$	10.0374	+	2.94724i	0.346529	+	0.101750i	0.450365	−	0.892844i	$-0.351294\pi$
$839$	10.0374	+	2.94724i	0.346529	+	0.101750i	−0.103837	+	0.994594i	$0.533112\pi$
$840$	2.58202	+	12.2508i	0.0890883	+	0.422693i
$841$	10.6313	+	23.2794i	0.366598	+	0.802737i
$842$	4.40707	−	0.526930i	0.151878	−	0.0181592i
$843$	−0.143572	−	0.212127i	−0.00494488	−	0.00730606i
$844$	0.245345	+	2.56937i	0.00844513	+	0.0884414i
$845$	0.876885	−	24.4459i	0.0301658	−	0.840965i
$846$	1.20021	+	8.34761i	0.0412639	+	0.286997i
$847$	7.24213	+	4.12754i	0.248842	+	0.141824i
$848$	−5.23367	+	73.1763i	−0.179725	+	2.51288i
$849$	−0.261117	+	1.07634i	−0.00896151	+	0.0369398i
$850$	−36.7943	+	67.3340i	−1.26203	+	2.30954i
$851$	−0.835886	−	0.475416i	−0.0286538	−	0.0162970i
$852$	14.7201	−	3.94425i	0.504304	−	0.135128i
$853$	5.83358	−	10.6834i	0.199738	−	0.365793i	−0.758542	−	0.651624i	$-0.774088\pi$
$853$	5.83358	−	10.6834i	0.199738	−	0.365793i	0.958280	+	0.285832i	$0.0922698\pi$
$854$	−103.581	−	11.7988i	−3.54446	−	0.403748i
$855$	−0.272985	−	4.59459i	−0.00933590	−	0.157132i
$856$	8.26959	−	20.6564i	0.282649	−	0.706023i
$857$	−41.5968	+	37.8140i	−1.42092	+	1.29170i	−0.522448	+	0.852671i	$0.674981\pi$
$857$	−41.5968	+	37.8140i	−1.42092	+	1.29170i	−0.898472	+	0.439031i	$0.855322\pi$
$858$	−8.03559	−	6.63475i	−0.274331	−	0.226507i
$859$	−20.5065	+	7.09736i	−0.699671	+	0.242159i	−0.653667	−	0.756783i	$-0.726770\pi$
$859$	−20.5065	+	7.09736i	−0.699671	+	0.242159i	−0.0460048	+	0.998941i	$0.514649\pi$
$860$	7.69814	+	58.5433i	0.262504	+	1.99631i
$861$	−1.57077	−	0.662296i	−0.0535316	−	0.0225710i
$862$	−11.9018	+	6.49889i	−0.405378	+	0.221353i
$863$	0.131574	−	5.52727i	0.00447882	−	0.188150i	−0.993041	−	0.117767i	$-0.962426\pi$
$863$	0.131574	−	5.52727i	0.00447882	−	0.188150i	0.997520	−	0.0703832i	$-0.0224222\pi$
$864$	27.4016	+	19.5126i	0.932221	+	0.663832i
$865$	27.5669	−	21.1460i	0.937302	−	0.718986i
$866$	52.9378	−	18.3219i	1.79890	−	0.622605i
$867$	−2.56226	+	0.955673i	−0.0870189	+	0.0324564i
$868$	−40.5971	−	3.64811i	−1.37795	−	0.123825i
$869$	37.7826	−	5.43231i	1.28169	−	0.184279i
$870$	2.08974	+	1.04646i	0.0708490	+	0.0354782i
$871$	53.5720	+	18.5414i	1.81522	+	0.628253i
$872$	21.1445	−	0.503333i	0.716044	−	0.0170450i
$873$	−42.7335	+	11.4504i	−1.44631	+	0.387537i
$874$	−0.381647	+	9.27364i	−0.0129094	+	0.313686i
$875$	25.5164	+	14.9637i	0.862612	+	0.505866i
$876$	−1.31518	+	0.386172i	−0.0444358	+	0.0130475i
$877$	−8.81923	−	5.96903i	−0.297804	−	0.201560i	0.402471	−	0.915433i	$-0.368151\pi$
$877$	−8.81923	−	5.96903i	−0.297804	−	0.201560i	−0.700275	+	0.713873i	$0.746939\pi$
$878$	−43.5356	+	13.9168i	−1.46926	+	0.469670i
$879$	−2.69856	+	2.12217i	−0.0910202	+	0.0715791i
$880$	−5.26077	+	146.660i	−0.177341	+	4.94392i
$881$	0.123564	+	0.0564300i	0.00416299	+	0.00190117i	0.417495	−	0.908679i	$-0.362908\pi$
$881$	0.123564	+	0.0564300i	0.00416299	+	0.00190117i	−0.413332	+	0.910580i	$0.635635\pi$
$882$	−49.5227	−	29.4329i	−1.66751	−	0.991056i
$883$	23.5676	+	31.4826i	0.793111	+	1.05947i	0.996760	+	0.0804288i	$0.0256290\pi$
$883$	23.5676	+	31.4826i	0.793111	+	1.05947i	−0.203649	+	0.979044i	$0.565280\pi$
$884$	−154.180	−	14.7224i	−5.18562	−	0.495167i
$885$	0.687550	−	0.385982i	0.0231117	−	0.0129746i
$886$	−18.1186	−	74.6860i	−0.608707	−	2.50912i
$887$	22.6784	+	27.4666i	0.761465	+	0.922239i	0.998789	−	0.0491915i	$-0.0156645\pi$
$887$	22.6784	+	27.4666i	0.761465	+	0.922239i	−0.237325	+	0.971430i	$0.576271\pi$
$888$	−0.339699	+	0.254296i	−0.0113996	+	0.00853361i
$889$	10.7938	−	20.0323i	0.362014	−	0.671863i
$890$	−55.5501	−	8.67162i	−1.86204	−	0.290673i
$891$	−14.8738	−	28.8512i	−0.498291	−	0.966550i
$892$	156.202	+	18.6763i	5.23004	+	0.625328i
$893$	0.217083	+	0.679096i	0.00726442	+	0.0227251i
$894$	1.12627	−	0.217070i	0.0376681	−	0.00725992i
$895$	−2.28883	+	9.94296i	−0.0765072	+	0.332357i
$896$	156.742	+	49.1428i	5.23638	+	1.64175i
$897$	2.45931	−	4.09412i	0.0821141	−	0.136699i
$898$	1.36465	+	5.09294i	0.0455389	+	0.169954i
$899$	−3.42049	+	3.58731i	−0.114080	+	0.119644i
$900$	82.9447	−	18.0166i	2.76482	−	0.600552i
$901$	1.10381	+	23.1718i	0.0367732	+	0.771965i
$902$	−26.5176	−	19.8509i	−0.882941	−	0.660961i
$903$	2.02677	+	1.42628i	0.0674467	+	0.0474637i
$904$	−39.9617	+	87.5039i	−1.32911	+	2.91034i
$905$	−27.9610	−	5.04920i	−0.929455	−	0.167841i
$906$	0.412903	−	0.165301i	0.0137178	−	0.00549177i
$907$	4.52292	+	26.8968i	0.150181	+	0.893093i	0.954350	+	0.298692i	$0.0965502\pi$
$907$	4.52292	+	26.8968i	0.150181	+	0.893093i	−0.804169	+	0.594401i	$0.797389\pi$
$908$	38.5691	+	0.918115i	1.27996	+	0.0304687i
$909$	−9.96528	+	33.9386i	−0.330528	+	1.12567i
$910$	−10.0768	+	79.8866i	−0.334042	+	2.64821i
$911$	−24.9856	−	3.59239i	−0.827811	−	0.119021i	−0.284631	−	0.958637i	$-0.591871\pi$
$911$	−24.9856	−	3.59239i	−0.827811	−	0.119021i	−0.543180	+	0.839616i	$0.682780\pi$
$912$	2.22229	+	1.07952i	0.0735873	+	0.0357465i
$913$	21.1821	−	25.6545i	0.701025	−	0.849039i
$914$	−0.899877	+	18.8907i	−0.0297653	+	0.624850i
$915$	0.690129	−	6.40978i	0.0228150	−	0.211901i
$916$	46.6821	+	72.6387i	1.54242	+	2.40005i
$917$	4.19373	−	10.6472i	0.138489	−	0.351602i
$918$	16.3351	+	8.91962i	0.539138	+	0.294391i
$919$	−10.0716	+	17.4446i	−0.332233	+	0.575444i	−0.982949	−	0.183877i	$-0.941135\pi$
$919$	−10.0716	+	17.4446i	−0.332233	+	0.575444i	0.650717	+	0.759321i	$0.274469\pi$
$920$	−110.784	+	12.6186i	−3.65244	+	0.416023i
$921$	−2.75266	−	4.76775i	−0.0907033	−	0.157103i
$922$	−17.5375	+	10.6896i	−0.577565	+	0.352044i
$923$	63.6841	+	4.55477i	2.09619	+	0.149922i
$924$	8.26455	+	8.17284i	0.271884	+	0.268867i
$925$	−0.0956095	+	0.997995i	−0.00314362	+	0.0328139i
$926$	41.7830	−	21.5406i	1.37307	−	0.707868i
$927$	−1.71499	+	2.07709i	−0.0563278	+	0.0682207i
$928$	42.4048	−	28.7004i	1.39200	−	0.942136i
$929$	−19.8847	+	25.2855i	−0.652396	+	0.829589i	−0.993899	−	0.110292i	$-0.964822\pi$
$929$	−19.8847	+	25.2855i	−0.652396	+	0.829589i	0.341503	+	0.939881i	$0.389064\pi$
$930$	0.283353	−	3.38740i	0.00929152	−	0.111077i
$931$	−4.54121	−	1.75949i	−0.148832	−	0.0576650i
$932$	82.3866	+	150.880i	2.69866	+	4.94223i
$933$	1.46947	−	1.21330i	0.0481084	−	0.0397217i
$934$	100.413	−	40.1992i	3.28560	−	1.31536i
$935$	3.85389	+	46.2448i	0.126036	+	1.51237i
$936$	87.3049	+	122.603i	2.85365	+	4.00739i
$937$	16.4247	−	3.57297i	0.536570	−	0.116724i	0.0638888	−	0.997957i	$-0.479650\pi$
$937$	16.4247	−	3.57297i	0.536570	−	0.116724i	0.472682	+	0.881233i	$0.343286\pi$
$938$	−77.7624	−	34.9899i	−2.53903	−	1.14246i
$939$	−5.00512	+	3.21659i	−0.163336	+	0.104970i
$940$	−11.7578	+	5.88326i	−0.383498	+	0.191891i
$941$	−20.1187	+	21.0998i	−0.655850	+	0.687835i	−0.964723	−	0.263268i	$-0.915200\pi$
$941$	−20.1187	+	21.0998i	−0.655850	+	0.687835i	0.308873	+	0.951103i	$0.400048\pi$
$942$	1.54765	+	0.414692i	0.0504252	+	0.0135114i
$943$	7.18942	−	13.3714i	0.234120	−	0.435432i
$944$		−	30.2264i		−	0.983785i
$945$	3.62763	−	6.19030i	0.118007	−	0.201371i
$946$	31.5366	+	36.3951i	1.02534	+	1.18331i
$947$	12.8998	−	14.1903i	0.419188	−	0.461123i	−0.493520	−	0.869734i	$-0.664290\pi$
$947$	12.8998	−	14.1903i	0.419188	−	0.461123i	0.912708	+	0.408612i	$0.133987\pi$
$948$	11.7666	+	1.40687i	0.382163	+	0.0456931i
$949$	−5.73617	−	0.273247i	−0.186204	−	0.00886998i
$950$	8.98458	−	3.59365i	0.291498	−	0.116593i
$951$	2.41706	−	2.78943i	0.0783784	−	0.0904535i
$952$	149.180	+	27.8897i	4.83494	+	0.903912i
$953$	−11.3516	+	30.4347i	−0.367713	+	0.985877i	0.612941	+	0.790129i	$0.289986\pi$
$953$	−11.3516	+	30.4347i	−0.367713	+	0.985877i	−0.980654	+	0.195749i	$0.937286\pi$
$954$	25.0455	−	23.8808i	0.810878	−	0.773171i
$955$	−41.0935	−	11.5437i	−1.32975	−	0.373544i
$956$	10.3436	−	14.5255i	0.334534	−	0.469788i
$957$	1.40343	−	0.167801i	0.0453665	−	0.00542423i
$958$	−37.6075	+	2.68974i	−1.21504	+	0.0869015i
$959$	11.4923	+	35.2713i	0.371105	+	1.13897i
$960$	−5.64103	+	18.3886i	−0.182064	+	0.593489i
$961$	−22.0866	−	8.84213i	−0.712470	−	0.285230i
$962$	−2.59946	+	0.830956i	−0.0838098	+	0.0267911i
$963$	−5.69489	+	2.76641i	−0.183515	+	0.0891463i
$964$	20.3920	−	84.0569i	0.656781	−	2.70729i
$965$	−41.7544	+	11.7154i	−1.34412	+	0.377131i
$966$	−4.23558	+	5.80250i	−0.136278	+	0.186692i
$967$	11.1588	+	11.1588i	0.358843	+	0.358843i	0.863386	−	0.504544i	$-0.168339\pi$
$967$	11.1588	+	11.1588i	0.358843	+	0.358843i	−0.504544	+	0.863386i	$0.668339\pi$
$968$	17.0498	+	27.9719i	0.548000	+	0.899051i
$969$	0.738262	+	0.255515i	0.0237164	+	0.00820832i
$970$	−51.2013	−	77.6503i	−1.64397	−	2.49320i
$971$	−0.645109	+	1.61140i	−0.0207025	+	0.0517124i	−0.938359	−	0.345662i	$-0.887654\pi$
$971$	−0.645109	+	1.61140i	−0.0207025	+	0.0517124i	0.917657	+	0.397374i	$0.130079\pi$
$972$	−6.57963	−	30.2461i	−0.211042	−	0.970143i
$973$	17.0490	−	11.0916i	0.546567	−	0.355581i
$974$	19.9653	+	17.3000i	0.639728	+	0.554328i
$975$	−4.94391	−	0.592673i	−0.158332	−	0.0189807i
$976$	−201.313	−	143.354i	−6.44386	−	4.58865i
$977$	−6.53867	−	3.98553i	−0.209191	−	0.127508i	0.411953	−	0.911205i	$-0.364847\pi$
$977$	−6.53867	−	3.98553i	−0.209191	−	0.127508i	−0.621144	+	0.783697i	$0.713332\pi$
$978$	−0.236485	+	9.93450i	−0.00756196	+	0.317670i
$979$	−30.9294	+	14.1250i	−0.988509	+	0.451437i
$980$	19.1694	−	87.7415i	0.612345	−	2.80280i
$981$	−4.54834	−	3.94116i	−0.145217	−	0.125832i
$982$	10.9172	−	64.9223i	0.348382	−	2.07175i
$983$	10.0990	−	9.18056i	0.322107	−	0.292814i	−0.495481	−	0.868619i	$-0.665008\pi$
$983$	10.0990	−	9.18056i	0.322107	−	0.292814i	0.817587	+	0.575805i	$0.195311\pi$
$984$	−4.14117	−	5.26592i	−0.132016	−	0.167872i
$985$	13.4860	−	4.48626i	0.429700	−	0.142944i
$986$	21.4104	−	18.5522i	0.681846	−	0.590823i
$987$	−0.152512	+	0.530334i	−0.00485450	+	0.0168807i
$988$	13.8113	+	13.8113i	0.439396	+	0.439396i
$989$	−14.3456	+	16.7737i	−0.456162	+	0.533372i
$990$	48.3714	−	49.5211i	1.53734	−	1.57389i
$991$	34.1077	+	32.5216i	1.08347	+	1.03308i	0.999329	+	0.0366281i	$0.0116617\pi$
$991$	34.1077	+	32.5216i	1.08347	+	1.03308i	0.0841366	+	0.996454i	$0.473187\pi$
$992$	−61.6758	−	41.7434i	−1.95821	−	1.32535i
$993$	−0.665598	+	3.05970i	−0.0211221	+	0.0970967i
$994$	−94.7947	−	15.3972i	−3.00671	−	0.488370i
$995$	3.52400	+	6.64287i	0.111718	+	0.210593i
$996$	8.41342	−	5.99117i	0.266589	−	0.189837i
$997$	25.4539	+	37.6081i	0.806134	+	1.19106i	0.978544	+	0.206036i	$0.0660565\pi$
$997$	25.4539	+	37.6081i	0.806134	+	1.19106i	−0.172411	+	0.985025i	$0.555156\pi$
$998$	34.6245	−	80.8558i	1.09602	−	2.55945i
$999$	0.242078	+	0.0231156i	0.00765899	+	0.000731345i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	805.2.bs.a.37.1	✓	3680
5.3	odd	4	inner	805.2.bs.a.198.92	yes	3680
7.4	even	3	inner	805.2.bs.a.382.1	yes	3680
23.5	odd	22	inner	805.2.bs.a.212.1	yes	3680
35.18	odd	12	inner	805.2.bs.a.543.1	yes	3680
115.28	even	44	inner	805.2.bs.a.373.1	yes	3680
161.74	odd	66	inner	805.2.bs.a.557.92	yes	3680
805.718	even	132	inner	805.2.bs.a.718.1	yes	3680

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
805.2.bs.a.37.1	✓	3680	1.1	even	1	trivial
805.2.bs.a.198.92	yes	3680	5.3	odd	4	inner
805.2.bs.a.212.1	yes	3680	23.5	odd	22	inner
805.2.bs.a.373.1	yes	3680	115.28	even	44	inner
805.2.bs.a.382.1	yes	3680	7.4	even	3	inner
805.2.bs.a.543.1	yes	3680	35.18	odd	12	inner
805.2.bs.a.557.92	yes	3680	161.74	odd	66	inner
805.2.bs.a.718.1	yes	3680	805.718	even	132	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 805 = 5 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	805.bs (of order \(132\), degree \(40\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.37524 + 1.44778i) q^{2} +(0.0889339 + 0.183078i) q^{3} +(2.62922 - 5.09998i) q^{4} +(-1.40279 - 1.74131i) q^{5} +(-0.476296 - 0.306097i) q^{6} +(1.44280 + 2.21773i) q^{7} +(0.741747 + 10.3710i) q^{8} +(1.82887 - 2.32560i) q^{9} +O(q^{10})\)	\(q+(-2.37524 + 1.44778i) q^{2} +(0.0889339 + 0.183078i) q^{3} +(2.62922 - 5.09998i) q^{4} +(-1.40279 - 1.74131i) q^{5} +(-0.476296 - 0.306097i) q^{6} +(1.44280 + 2.21773i) q^{7} +(0.741747 + 10.3710i) q^{8} +(1.82887 - 2.32560i) q^{9} +(5.85301 + 2.10509i) q^{10} +(3.65569 - 0.886862i) q^{11} +(1.16752 + 0.0277922i) q^{12} +(4.58432 + 1.70986i) q^{13} +(-6.63778 - 3.17878i) q^{14} +(0.194041 - 0.411682i) q^{15} +(-10.1202 - 14.2119i) q^{16} +(-3.71098 - 4.08222i) q^{17} +(-0.977039 + 8.17164i) q^{18} +(0.0331045 + 0.694948i) q^{19} +(-12.5689 + 2.57592i) q^{20} +(-0.277705 + 0.461376i) q^{21} +(-7.39915 + 7.39915i) q^{22} +(-3.85777 - 2.84914i) q^{23} +(-1.83273 + 1.05813i) q^{24} +(-1.06434 + 4.88540i) q^{25} +(-13.3643 + 2.57577i) q^{26} +(1.18507 + 0.257796i) q^{27} +(15.1038 - 1.52732i) q^{28} +(0.998053 - 1.55300i) q^{29} +(0.135134 + 1.25877i) q^{30} +(-2.63648 - 0.508141i) q^{31} +(25.4976 + 10.9187i) q^{32} +(0.487480 + 0.590406i) q^{33} +(14.7246 + 4.32354i) q^{34} +(1.83782 - 5.62338i) q^{35} +(-7.05199 - 15.4417i) q^{36} +(0.199095 - 0.0238047i) q^{37} +(-1.08476 - 1.60274i) q^{38} +(0.0946627 + 0.991352i) q^{39} +(17.0186 - 15.8400i) q^{40} +(0.450510 + 3.13336i) q^{41} +(-0.00835707 - 1.49793i) q^{42} +(0.328319 - 4.59050i) q^{43} +(5.08865 - 20.9757i) q^{44} +(-6.61511 + 0.0776970i) q^{45} +(13.2881 + 1.18216i) q^{46} +(0.989823 - 0.265222i) q^{47} +(1.70185 - 3.11671i) q^{48} +(-2.83668 + 6.39947i) q^{49} +(-4.54494 - 13.1449i) q^{50} +(0.417333 - 1.04245i) q^{51} +(20.7734 - 18.8843i) q^{52} +(-3.24251 - 2.67724i) q^{53} +(-3.18805 + 1.10339i) q^{54} +(-6.67249 - 5.12162i) q^{55} +(-21.9299 + 16.6082i) q^{56} +(-0.124286 + 0.0678651i) q^{57} +(-0.122205 + 5.13371i) q^{58} +(1.41123 + 1.00493i) q^{59} +(-1.58940 - 2.07201i) q^{60} +(13.3861 - 4.63296i) q^{61} +(6.99795 - 2.61010i) q^{62} +(7.79623 + 0.700581i) q^{63} +(-41.8321 + 6.01454i) q^{64} +(-3.45344 - 10.3813i) q^{65} +(-2.01266 - 0.696588i) q^{66} +(11.5831 - 0.275729i) q^{67} +(-30.5762 + 8.19287i) q^{68} +(0.178528 - 0.959659i) q^{69} +(3.77617 + 16.0176i) q^{70} +(12.5205 - 3.67636i) q^{71} +(25.4753 + 17.2422i) q^{72} +(-1.11797 + 0.357375i) q^{73} +(-0.438433 + 0.344788i) q^{74} +(-0.989067 + 0.239620i) q^{75} +(3.63126 + 1.65834i) q^{76} +(7.24124 + 6.82779i) q^{77} +(-1.66011 - 2.21765i) q^{78} +(10.1013 + 0.964554i) q^{79} +(-10.5507 + 37.5588i) q^{80} +(-2.03433 - 8.38564i) q^{81} +(-5.60650 - 6.79024i) q^{82} +(7.08006 - 5.30007i) q^{83} +(1.62286 + 2.62935i) q^{84} +(-1.90268 + 12.1885i) q^{85} +(5.86621 + 11.3789i) q^{86} +(0.373081 + 0.0446073i) q^{87} +(11.9092 + 37.2553i) q^{88} +(-8.87562 + 1.71063i) q^{89} +(15.6000 - 9.76179i) q^{90} +(2.82222 + 12.6338i) q^{91} +(-24.6735 + 12.1835i) q^{92} +(-0.141443 - 0.527873i) q^{93} +(-1.96708 + 2.06301i) q^{94} +(1.16368 - 1.03251i) q^{95} +(0.268623 + 5.63910i) q^{96} +(-11.9709 - 8.96129i) q^{97} +(-2.52726 - 19.3072i) q^{98} +(4.62330 - 10.1236i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 3680 q - 18 q^{2} - 18 q^{3} - 22 q^{5} - 160 q^{6} - 44 q^{7} - 56 q^{8}+O(q^{10}) \) 3680 * q - 18 * q^2 - 18 * q^3 - 22 * q^5 - 160 * q^6 - 44 * q^7 - 56 * q^8	\( 3680 q - 18 q^{2} - 18 q^{3} - 22 q^{5} - 160 q^{6} - 44 q^{7} - 56 q^{8} - 22 q^{10} - 44 q^{11} + 14 q^{12} - 72 q^{13} - 88 q^{15} - 196 q^{16} - 22 q^{17} - 62 q^{18} - 88 q^{20} - 88 q^{21} - 44 q^{23} - 30 q^{25} - 28 q^{26} - 48 q^{27} + 132 q^{28} - 22 q^{30} - 40 q^{31} - 50 q^{32} - 22 q^{33} - 40 q^{35} - 416 q^{36} - 110 q^{37} - 22 q^{38} - 22 q^{40} - 192 q^{41} - 264 q^{42} - 88 q^{43} - 44 q^{47} + 24 q^{48} - 44 q^{51} - 374 q^{52} - 22 q^{53} - 32 q^{55} - 220 q^{56} + 88 q^{57} - 58 q^{58} - 22 q^{60} - 220 q^{61} + 8 q^{62} - 44 q^{63} - 22 q^{65} - 44 q^{66} - 22 q^{67} - 96 q^{70} - 136 q^{71} - 46 q^{72} + 18 q^{73} - 34 q^{75} - 176 q^{76} - 116 q^{77} + 80 q^{78} + 176 q^{80} - 236 q^{81} - 2 q^{82} - 88 q^{83} - 448 q^{85} - 86 q^{87} - 110 q^{88} - 88 q^{90} - 228 q^{92} + 4 q^{93} - 236 q^{95} - 332 q^{96} - 88 q^{97} + 84 q^{98}+O(q^{100}) \) 3680 * q - 18 * q^2 - 18 * q^3 - 22 * q^5 - 160 * q^6 - 44 * q^7 - 56 * q^8 - 22 * q^10 - 44 * q^11 + 14 * q^12 - 72 * q^13 - 88 * q^15 - 196 * q^16 - 22 * q^17 - 62 * q^18 - 88 * q^20 - 88 * q^21 - 44 * q^23 - 30 * q^25 - 28 * q^26 - 48 * q^27 + 132 * q^28 - 22 * q^30 - 40 * q^31 - 50 * q^32 - 22 * q^33 - 40 * q^35 - 416 * q^36 - 110 * q^37 - 22 * q^38 - 22 * q^40 - 192 * q^41 - 264 * q^42 - 88 * q^43 - 44 * q^47 + 24 * q^48 - 44 * q^51 - 374 * q^52 - 22 * q^53 - 32 * q^55 - 220 * q^56 + 88 * q^57 - 58 * q^58 - 22 * q^60 - 220 * q^61 + 8 * q^62 - 44 * q^63 - 22 * q^65 - 44 * q^66 - 22 * q^67 - 96 * q^70 - 136 * q^71 - 46 * q^72 + 18 * q^73 - 34 * q^75 - 176 * q^76 - 116 * q^77 + 80 * q^78 + 176 * q^80 - 236 * q^81 - 2 * q^82 - 88 * q^83 - 448 * q^85 - 86 * q^87 - 110 * q^88 - 88 * q^90 - 228 * q^92 + 4 * q^93 - 236 * q^95 - 332 * q^96 - 88 * q^97 + 84 * q^98

Introduction

L-functions

Modular forms

Varieties

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