LMFDB - Embedded newform 95.2.k.b.16.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [95,2,Mod(6,95)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(95, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 14]))

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

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

chi := DirichletCharacter("95.6");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.k (of order $9$, degree $6$, 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:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{9})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} + 12 x^{16} - 8 x^{15} + 96 x^{14} - 75 x^{13} + 448 x^{12} - 405 x^{11} + 1521 x^{10} + \cdots + 361 $ x^18 + 12x^16 - 8x^15 + 96x^14 - 75x^13 + 448x^12 - 405x^11 + 1521x^10 - 1294x^9 + 3333x^8 - 2616x^7 + 5113x^6 - 3126x^5 + 4032x^4 - 1359x^3 + 1698x^2 - 513x + 361
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			16.3
Root			$-0.908512 + 1.57359i$ of defining polynomial
Character	$\chi$	$=$	95.16
Dual form			95.2.k.b.6.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.39192 + 1.16796i) q^{2} +(-0.166424 + 0.0605732i) q^{3} +(0.226016 + 1.28180i) q^{4} +(-0.173648 + 0.984808i) q^{5} +(-0.302396 - 0.110063i) q^{6} +(-0.536732 - 0.929646i) q^{7} +(0.634528 - 1.09903i) q^{8} +(-2.27411 + 1.90820i) q^{9} +O(q^{10})$	\(q+(1.39192 + 1.16796i) q^{2} +(-0.166424 + 0.0605732i) q^{3} +(0.226016 + 1.28180i) q^{4} +(-0.173648 + 0.984808i) q^{5} +(-0.302396 - 0.110063i) q^{6} +(-0.536732 - 0.929646i) q^{7} +(0.634528 - 1.09903i) q^{8} +(-2.27411 + 1.90820i) q^{9} +(-1.39192 + 1.16796i) q^{10} +(1.65508 - 2.86668i) q^{11} +(-0.115257 - 0.199631i) q^{12} +(-2.49736 - 0.908963i) q^{13} +(0.338702 - 1.92087i) q^{14} +(-0.0307538 - 0.174414i) q^{15} +(4.61300 - 1.67899i) q^{16} +(-3.06411 - 2.57109i) q^{17} -5.39408 q^{18} +(0.281925 + 4.34977i) q^{19} -1.30157 q^{20} +(0.145636 + 0.122203i) q^{21} +(5.65190 - 2.05712i) q^{22} +(0.304541 + 1.72714i) q^{23} +(-0.0390283 + 0.221341i) q^{24} +(-0.939693 - 0.342020i) q^{25} +(-2.41449 - 4.18202i) q^{26} +(0.528535 - 0.915450i) q^{27} +(1.07031 - 0.898098i) q^{28} +(1.72552 - 1.44789i) q^{29} +(0.160901 - 0.278689i) q^{30} +(4.02636 + 6.97386i) q^{31} +(5.99689 + 2.18269i) q^{32} +(-0.101800 + 0.577336i) q^{33} +(-1.26206 - 7.15751i) q^{34} +(1.00873 - 0.367146i) q^{35} +(-2.95992 - 2.48367i) q^{36} -5.64805 q^{37} +(-4.68794 + 6.38382i) q^{38} +0.470678 q^{39} +(0.972153 + 0.815733i) q^{40} +(0.842126 - 0.306509i) q^{41} +(0.0599856 + 0.340195i) q^{42} +(-1.47811 + 8.38279i) q^{43} +(4.04858 + 1.47356i) q^{44} +(-1.48432 - 2.57091i) q^{45} +(-1.59333 + 2.75973i) q^{46} +(-4.82313 + 4.04709i) q^{47} +(-0.666010 + 0.558849i) q^{48} +(2.92384 - 5.06424i) q^{49} +(-0.908512 - 1.57359i) q^{50} +(0.665679 + 0.242287i) q^{51} +(0.600667 - 3.40655i) q^{52} +(-0.590304 - 3.34778i) q^{53} +(1.80489 - 0.656926i) q^{54} +(2.53572 + 2.12772i) q^{55} -1.36228 q^{56} +(-0.310399 - 0.706828i) q^{57} +4.09287 q^{58} +(-1.13893 - 0.955673i) q^{59} +(0.216613 - 0.0788406i) q^{60} +(2.38416 + 13.5212i) q^{61} +(-2.54082 + 14.4097i) q^{62} +(2.99454 + 1.08992i) q^{63} +(0.888845 + 1.53952i) q^{64} +(1.32882 - 2.30158i) q^{65} +(-0.816002 + 0.684707i) q^{66} +(9.85110 - 8.26605i) q^{67} +(2.60309 - 4.50868i) q^{68} +(-0.155301 - 0.268989i) q^{69} +(1.83288 + 0.667113i) q^{70} +(1.91469 - 10.8587i) q^{71} +(0.654195 + 3.71013i) q^{72} +(2.45320 - 0.892893i) q^{73} +(-7.86164 - 6.59670i) q^{74} +0.177104 q^{75} +(-5.51182 + 1.34449i) q^{76} -3.55333 q^{77} +(0.655146 + 0.549733i) q^{78} +(6.17425 - 2.24724i) q^{79} +(0.852448 + 4.83447i) q^{80} +(1.51398 - 8.58623i) q^{81} +(1.53016 + 0.556934i) q^{82} +(-1.34944 - 2.33730i) q^{83} +(-0.123724 + 0.214297i) q^{84} +(3.06411 - 2.57109i) q^{85} +(-11.8482 + 9.94180i) q^{86} +(-0.199465 + 0.345483i) q^{87} +(-2.10038 - 3.63797i) q^{88} +(-0.742205 - 0.270140i) q^{89} +(0.936672 - 5.31213i) q^{90} +(0.495396 + 2.80953i) q^{91} +(-2.14502 + 0.780722i) q^{92} +(-1.09251 - 0.916725i) q^{93} -11.4403 q^{94} +(-4.33265 - 0.477688i) q^{95} -1.13024 q^{96} +(-14.3388 - 12.0317i) q^{97} +(9.98458 - 3.63409i) q^{98} +(1.70638 + 9.67734i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 12 q^{8} - 21 q^{9}+O(q^{10}) $ 18 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 12 * q^8 - 21 * q^9	\( 18 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 12 q^{8} - 21 q^{9} - 3 q^{10} + 6 q^{12} - 3 q^{13} + 24 q^{14} + 3 q^{15} + 21 q^{16} - 24 q^{17} - 12 q^{18} - 12 q^{19} - 12 q^{20} + 3 q^{21} + 15 q^{22} + 21 q^{23} + 21 q^{24} - 21 q^{26} + 6 q^{27} - 24 q^{28} - 9 q^{29} - 12 q^{30} + 30 q^{31} + 45 q^{32} - 3 q^{33} + 24 q^{34} - 6 q^{35} - 21 q^{36} - 60 q^{37} - 15 q^{38} + 12 q^{39} - 6 q^{40} - 6 q^{41} + 39 q^{42} - 6 q^{43} - 30 q^{44} + 6 q^{45} + 21 q^{46} + 33 q^{47} - 63 q^{48} - 3 q^{49} + 27 q^{51} + 9 q^{52} + 24 q^{53} + 30 q^{54} - 3 q^{55} - 72 q^{56} - 30 q^{57} + 36 q^{58} + 18 q^{59} + 15 q^{60} + 6 q^{61} + 12 q^{62} + 24 q^{63} - 24 q^{64} + 3 q^{65} - 33 q^{66} - 24 q^{67} - 3 q^{68} + 27 q^{69} + 39 q^{70} + 24 q^{71} + 18 q^{72} + 6 q^{73} - 39 q^{74} - 6 q^{75} + 27 q^{76} + 24 q^{77} + 72 q^{78} + 9 q^{79} + 33 q^{80} + 15 q^{81} - 57 q^{82} - 12 q^{84} + 24 q^{85} - 33 q^{86} - 45 q^{87} + 39 q^{88} - 6 q^{89} - 21 q^{90} - 6 q^{91} - 66 q^{92} - 72 q^{93} - 66 q^{94} - 15 q^{95} - 18 q^{96} - 87 q^{97} + 39 q^{98} + 3 q^{99}+O(q^{100}) \) 18 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 12 * q^8 - 21 * q^9 - 3 * q^10 + 6 * q^12 - 3 * q^13 + 24 * q^14 + 3 * q^15 + 21 * q^16 - 24 * q^17 - 12 * q^18 - 12 * q^19 - 12 * q^20 + 3 * q^21 + 15 * q^22 + 21 * q^23 + 21 * q^24 - 21 * q^26 + 6 * q^27 - 24 * q^28 - 9 * q^29 - 12 * q^30 + 30 * q^31 + 45 * q^32 - 3 * q^33 + 24 * q^34 - 6 * q^35 - 21 * q^36 - 60 * q^37 - 15 * q^38 + 12 * q^39 - 6 * q^40 - 6 * q^41 + 39 * q^42 - 6 * q^43 - 30 * q^44 + 6 * q^45 + 21 * q^46 + 33 * q^47 - 63 * q^48 - 3 * q^49 + 27 * q^51 + 9 * q^52 + 24 * q^53 + 30 * q^54 - 3 * q^55 - 72 * q^56 - 30 * q^57 + 36 * q^58 + 18 * q^59 + 15 * q^60 + 6 * q^61 + 12 * q^62 + 24 * q^63 - 24 * q^64 + 3 * q^65 - 33 * q^66 - 24 * q^67 - 3 * q^68 + 27 * q^69 + 39 * q^70 + 24 * q^71 + 18 * q^72 + 6 * q^73 - 39 * q^74 - 6 * q^75 + 27 * q^76 + 24 * q^77 + 72 * q^78 + 9 * q^79 + 33 * q^80 + 15 * q^81 - 57 * q^82 - 12 * q^84 + 24 * q^85 - 33 * q^86 - 45 * q^87 + 39 * q^88 - 6 * q^89 - 21 * q^90 - 6 * q^91 - 66 * q^92 - 72 * q^93 - 66 * q^94 - 15 * q^95 - 18 * q^96 - 87 * q^97 + 39 * q^98 + 3 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{2}{9}\right)$	$1$

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 $

$2$	1.39192	+	1.16796i	0.984237	+	0.825873i	0.984723	−	0.174127i	$-0.0557104\pi$
$2$	1.39192	+	1.16796i	0.984237	+	0.825873i	−0.000486534		1.00000i	$0.500155\pi$
$3$	−0.166424	+	0.0605732i	−0.0960847	+	0.0349720i	−0.389615	−	0.920978i	$-0.627392\pi$
$3$	−0.166424	+	0.0605732i	−0.0960847	+	0.0349720i	0.293531	+	0.955950i	$0.405170\pi$
$4$	0.226016	+	1.28180i	0.113008	+	0.640900i
$5$	−0.173648	+	0.984808i	−0.0776578	+	0.440419i
$5$	−0.173648	+	0.984808i	−0.0776578	+	0.440419i
$6$	−0.302396	−	0.110063i	−0.123452	−	0.0449330i
$7$	−0.536732	−	0.929646i	−0.202865	−	0.351373i	0.746585	−	0.665290i	$-0.231692\pi$
$7$	−0.536732	−	0.929646i	−0.202865	−	0.351373i	−0.949451	+	0.313917i	$0.898359\pi$
$8$	0.634528	−	1.09903i	0.224339	−	0.388567i
$9$	−2.27411	+	1.90820i	−0.758035	+	0.636067i
$10$	−1.39192	+	1.16796i	−0.440164	+	0.369341i
$11$	1.65508	−	2.86668i	0.499024	−	0.864335i	−0.500975	−	0.865462i	$-0.667025\pi$
$11$	1.65508	−	2.86668i	0.499024	−	0.864335i	0.999999	+	0.00112649i	$0.000358574\pi$
$12$	−0.115257	−	0.199631i	−0.0332719	−	0.0576286i
$13$	−2.49736	−	0.908963i	−0.692642	−	0.252101i	−0.0283760	−	0.999597i	$-0.509034\pi$
$13$	−2.49736	−	0.908963i	−0.692642	−	0.252101i	−0.664266	+	0.747496i	$0.731256\pi$
$14$	0.338702	−	1.92087i	0.0905219	−	0.513375i
$15$	−0.0307538	−	0.174414i	−0.00794061	−	0.0450334i
$16$	4.61300	−	1.67899i	1.15325	−	0.419749i
$17$	−3.06411	−	2.57109i	−0.743155	−	0.623581i	0.190528	−	0.981682i	$-0.438980\pi$
$17$	−3.06411	−	2.57109i	−0.743155	−	0.623581i	−0.933683	+	0.358101i	$0.883424\pi$
$18$	−5.39408			−1.27140
$19$	0.281925	+	4.34977i	0.0646780	+	0.997906i
$19$	0.281925	+	4.34977i	0.0646780	+	0.997906i
$20$	−1.30157			−0.291041
$21$	0.145636	+	0.122203i	0.0317805	+	0.0266670i
$22$	5.65190	−	2.05712i	1.20499	−	0.438580i
$23$	0.304541	+	1.72714i	0.0635012	+	0.360133i	0.999956	+	0.00934578i	$0.00297490\pi$
$23$	0.304541	+	1.72714i	0.0635012	+	0.360133i	−0.936455	+	0.350787i	$0.885914\pi$
$24$	−0.0390283	+	0.221341i	−0.00796662	+	0.0451810i
$25$	−0.939693	−	0.342020i	−0.187939	−	0.0684040i
$26$	−2.41449	−	4.18202i	−0.473520	−	0.820161i
$27$	0.528535	−	0.915450i	0.101717	−	0.176178i
$28$	1.07031	−	0.898098i	0.202270	−	0.169725i
$29$	1.72552	−	1.44789i	0.320422	−	0.268866i	−0.468362	−	0.883537i	$-0.655156\pi$
$29$	1.72552	−	1.44789i	0.320422	−	0.268866i	0.788784	+	0.614671i	$0.210711\pi$
$30$	0.160901	−	0.278689i	0.0293764	−	0.0508815i
$31$	4.02636	+	6.97386i	0.723156	+	1.25254i	0.959729	+	0.280929i	$0.0906425\pi$
$31$	4.02636	+	6.97386i	0.723156	+	1.25254i	−0.236573	+	0.971614i	$0.576024\pi$
$32$	5.99689	+	2.18269i	1.06011	+	0.385848i
$33$	−0.101800	+	0.577336i	−0.0177211	+	0.100501i
$34$	−1.26206	−	7.15751i	−0.216442	−	1.22750i
$35$	1.00873	−	0.367146i	0.170506	−	0.0620590i
$36$	−2.95992	−	2.48367i	−0.493320	−	0.413944i
$37$	−5.64805			−0.928534			−0.464267	−	0.885695i	$-0.653682\pi$
$37$	−5.64805			−0.928534			−0.464267	+	0.885695i	$0.653682\pi$
$38$	−4.68794	+	6.38382i	−0.760485	+	1.03559i
$39$	0.470678			0.0753688
$40$	0.972153	+	0.815733i	0.153711	+	0.128979i
$41$	0.842126	−	0.306509i	0.131518	−	0.0478686i	−0.275423	−	0.961323i	$-0.588818\pi$
$41$	0.842126	−	0.306509i	0.131518	−	0.0478686i	0.406941	+	0.913455i	$0.366596\pi$
$42$	0.0599856	+	0.340195i	0.00925598	+	0.0524933i
$43$	−1.47811	+	8.38279i	−0.225410	+	1.27836i	0.636490	+	0.771285i	$0.280386\pi$
$43$	−1.47811	+	8.38279i	−0.225410	+	1.27836i	−0.861900	+	0.507079i	$0.830725\pi$
$44$	4.04858	+	1.47356i	0.610346	+	0.222148i
$45$	−1.48432	−	2.57091i	−0.221269	−	0.383249i
$46$	−1.59333	+	2.75973i	−0.234924	+	0.406900i
$47$	−4.82313	+	4.04709i	−0.703527	+	0.590329i	−0.922775	−	0.385340i	$-0.874084\pi$
$47$	−4.82313	+	4.04709i	−0.703527	+	0.590329i	0.219248	+	0.975669i	$0.429640\pi$
$48$	−0.666010	+	0.558849i	−0.0961303	+	0.0806629i
$49$	2.92384	−	5.06424i	0.417691	−	0.723462i
$50$	−0.908512	−	1.57359i	−0.128483	−	0.222539i
$51$	0.665679	+	0.242287i	0.0932137	+	0.0339270i
$52$	0.600667	−	3.40655i	0.0832976	−	0.472404i
$53$	−0.590304	−	3.34778i	−0.0810846	−	0.459853i	−0.998133	−	0.0610776i	$-0.980546\pi$
$53$	−0.590304	−	3.34778i	−0.0810846	−	0.459853i	0.917048	−	0.398776i	$-0.130565\pi$
$54$	1.80489	−	0.656926i	0.245614	−	0.0893963i
$55$	2.53572	+	2.12772i	0.341917	+	0.286902i
$56$	−1.36228			−0.182043
$57$	−0.310399	−	0.706828i	−0.0411133	−	0.0936216i
$58$	4.09287			0.537420
$59$	−1.13893	−	0.955673i	−0.148276	−	0.124418i	0.565632	−	0.824657i	$-0.308632\pi$
$59$	−1.13893	−	0.955673i	−0.148276	−	0.124418i	−0.713908	+	0.700239i	$0.753077\pi$
$60$	0.216613	−	0.0788406i	0.0279646	−	0.0101783i
$61$	2.38416	+	13.5212i	0.305260	+	1.73122i	0.622277	+	0.782797i	$0.286208\pi$
$61$	2.38416	+	13.5212i	0.305260	+	1.73122i	−0.317016	+	0.948420i	$0.602681\pi$
$62$	−2.54082	+	14.4097i	−0.322684	+	1.83003i
$63$	2.99454	+	1.08992i	0.377276	+	0.137317i
$64$	0.888845	+	1.53952i	0.111106	+	0.192441i
$65$	1.32882	−	2.30158i	0.164819	−	0.285475i
$66$	−0.816002	+	0.684707i	−0.100443	+	0.0842816i
$67$	9.85110	−	8.26605i	1.20350	−	1.00986i	0.203980	−	0.978975i	$-0.434612\pi$
$67$	9.85110	−	8.26605i	1.20350	−	1.00986i	0.999523	−	0.0308840i	$-0.00983223\pi$
$68$	2.60309	−	4.50868i	0.315671	−	0.546758i
$69$	−0.155301	−	0.268989i	−0.0186961	−	0.0323825i
$70$	1.83288	+	0.667113i	0.219071	+	0.0797352i
$71$	1.91469	−	10.8587i	0.227231	−	1.28869i	−0.631141	−	0.775668i	$-0.717413\pi$
$71$	1.91469	−	10.8587i	0.227231	−	1.28869i	0.858373	−	0.513026i	$-0.171476\pi$
$72$	0.654195	+	3.71013i	0.0770977	+	0.437243i
$73$	2.45320	−	0.892893i	0.287126	−	0.104505i	−0.194442	−	0.980914i	$-0.562290\pi$
$73$	2.45320	−	0.892893i	0.287126	−	0.104505i	0.481568	+	0.876409i	$0.340067\pi$
$74$	−7.86164	−	6.59670i	−0.913897	−	0.766851i
$75$	0.177104			0.0204502
$76$	−5.51182	+	1.34449i	−0.632249	+	0.154224i
$77$	−3.55333			−0.404939
$78$	0.655146	+	0.549733i	0.0741807	+	0.0622450i
$79$	6.17425	−	2.24724i	0.694657	−	0.252835i	0.0295293	−	0.999564i	$-0.490599\pi$
$79$	6.17425	−	2.24724i	0.694657	−	0.252835i	0.665128	+	0.746729i	$0.268377\pi$
$80$	0.852448	+	4.83447i	0.0953066	+	0.540511i
$81$	1.51398	−	8.58623i	0.168221	−	0.954026i
$82$	1.53016	+	0.556934i	0.168978	+	0.0615030i
$83$	−1.34944	−	2.33730i	−0.148120	−	0.256552i	0.782412	−	0.622761i	$-0.213989\pi$
$83$	−1.34944	−	2.33730i	−0.148120	−	0.256552i	−0.930533	+	0.366209i	$0.880656\pi$
$84$	−0.123724	+	0.214297i	−0.0134994	+	0.0233817i
$85$	3.06411	−	2.57109i	0.332349	−	0.278874i
$86$	−11.8482	+	9.94180i	−1.27762	+	1.07205i
$87$	−0.199465	+	0.345483i	−0.0213849	+	0.0370397i
$88$	−2.10038	−	3.63797i	−0.223902	−	0.387809i
$89$	−0.742205	−	0.270140i	−0.0786736	−	0.0286348i	0.302384	−	0.953186i	$-0.402218\pi$
$89$	−0.742205	−	0.270140i	−0.0786736	−	0.0286348i	−0.381057	+	0.924551i	$0.624440\pi$
$90$	0.936672	−	5.31213i	0.0987339	−	0.559948i
$91$	0.495396	+	2.80953i	0.0519316	+	0.294519i
$92$	−2.14502	+	0.780722i	−0.223633	+	0.0813959i
$93$	−1.09251	−	0.916725i	−0.113288	−	0.0950600i
$94$	−11.4403			−1.17997
$95$	−4.33265	−	0.477688i	−0.444520	−	0.0490098i
$96$	−1.13024			−0.115354
$97$	−14.3388	−	12.0317i	−1.45588	−	1.22163i	−0.928144	−	0.372222i	$-0.878596\pi$
$97$	−14.3388	−	12.0317i	−1.45588	−	1.22163i	−0.527737	−	0.849408i	$-0.676959\pi$
$98$	9.98458	−	3.63409i	1.00859	−	0.367098i
$99$	1.70638	+	9.67734i	0.171497	+	0.972609i
$100$	0.226016	−	1.28180i	0.0226016	−	0.128180i
$101$	−17.7763	−	6.47005i	−1.76881	−	0.643794i	−0.999991	−	0.00432656i	$-0.998623\pi$
$101$	−17.7763	−	6.47005i	−1.76881	−	0.643794i	−0.768818	−	0.639467i	$-0.779155\pi$
$102$	0.643590	+	1.11473i	0.0637249	+	0.110375i
$103$	5.82191	−	10.0838i	0.573650	−	0.993591i	−0.422537	−	0.906346i	$-0.638860\pi$
$103$	5.82191	−	10.0838i	0.573650	−	0.993591i	0.996187	−	0.0872452i	$-0.0278064\pi$
$104$	−2.58362	+	2.16792i	−0.253345	+	0.212582i
$105$	−0.145636	+	0.122203i	−0.0142127	+	0.0119258i
$106$	3.08842	−	5.34930i	0.299974	−	0.519570i
$107$	−5.69791	−	9.86907i	−0.550838	−	0.954079i	−0.998214	−	0.0597335i	$-0.980975\pi$
$107$	−5.69791	−	9.86907i	−0.550838	−	0.954079i	0.447376	−	0.894346i	$-0.352358\pi$
$108$	1.29288	+	0.470571i	0.124408	+	0.0452807i
$109$	−2.21184	+	12.5440i	−0.211856	+	1.20149i	0.674424	+	0.738344i	$0.264392\pi$
$109$	−2.21184	+	12.5440i	−0.211856	+	1.20149i	−0.886280	+	0.463150i	$0.846719\pi$
$110$	1.04443	+	5.92325i	0.0995823	+	0.564759i
$111$	0.939969	−	0.342121i	0.0892179	−	0.0324727i
$112$	−4.03681	−	3.38729i	−0.381443	−	0.320069i
$113$	16.5894			1.56060			0.780300	−	0.625406i	$-0.215067\pi$
$113$	16.5894			1.56060			0.780300	+	0.625406i	$0.215067\pi$
$114$	0.393496	−	1.34638i	0.0368543	−	0.126100i
$115$	−1.75378			−0.163541
$116$	2.24590	+	1.88453i	0.208526	+	0.174974i
$117$	7.41374	−	2.69838i	0.685400	−	0.249465i
$118$	−0.469108	−	2.66044i	−0.0431849	−	0.244914i
$119$	−0.745602	+	4.22852i	−0.0683492	+	0.387628i
$120$	−0.211201	−	0.0768708i	−0.0192799	−	0.00701731i
$121$	0.0214486	+	0.0371501i	0.00194987	+	0.00337728i
$122$	−12.4737	+	21.6051i	−1.12932	+	1.95603i
$123$	−0.121583	+	0.102021i	−0.0109628	+	0.00919889i
$124$	−8.02908	+	6.73720i	−0.721033	+	0.605018i
$125$	0.500000	−	0.866025i	0.0447214	−	0.0774597i
$126$	2.89517	+	5.01458i	0.257922	+	0.446735i
$127$	9.13699	+	3.32559i	0.810777	+	0.295099i	0.713945	−	0.700202i	$-0.246907\pi$
$127$	9.13699	+	3.32559i	0.810777	+	0.295099i	0.0968322	+	0.995301i	$0.469129\pi$
$128$	1.65546	−	9.38857i	0.146323	−	0.829840i
$129$	−0.261780	−	1.48463i	−0.0230484	−	0.130714i
$130$	4.53776	−	1.65161i	0.397988	−	0.144856i
$131$	11.3300	+	9.50703i	0.989910	+	0.830633i	0.985555	−	0.169358i	$-0.0541693\pi$
$131$	11.3300	+	9.50703i	0.989910	+	0.830633i	0.00435510	+	0.999991i	$0.498614\pi$
$132$	−0.763038			−0.0664139
$133$	3.89243	−	2.59675i	0.337517	−	0.225167i
$134$	23.3664			2.01855
$135$	0.809763	+	0.679472i	0.0696933	+	0.0584796i
$136$	−4.76998	+	1.73613i	−0.409022	+	0.148872i
$137$	0.624490	+	3.54166i	0.0533538	+	0.302584i	0.999794	−	0.0202946i	$-0.00646043\pi$
$137$	0.624490	+	3.54166i	0.0533538	+	0.302584i	−0.946440	+	0.322879i	$0.895349\pi$
$138$	0.0980021	−	0.555798i	0.00834249	−	0.0473126i
$139$	5.50159	+	2.00242i	0.466639	+	0.169843i	0.564629	−	0.825345i	$-0.309019\pi$
$139$	5.50159	+	2.00242i	0.466639	+	0.169843i	−0.0979902	+	0.995187i	$0.531241\pi$
$140$	0.698596	+	1.21000i	0.0590421	+	0.102264i
$141$	0.557538	−	0.965684i	0.0469532	−	0.0813253i
$142$	15.3477	−	12.8782i	1.28795	−	1.08072i
$143$	−6.73902	+	5.65471i	−0.563545	+	0.472870i
$144$	−7.28659	+	12.6207i	−0.607216	+	1.05173i
$145$	1.12626	+	1.95073i	0.0935304	+	0.161999i
$146$	4.45753	+	1.62241i	0.368908	+	0.134271i
$147$	−0.179838	+	1.01991i	−0.0148328	+	0.0841212i
$148$	−1.27655	−	7.23968i	−0.104932	−	0.595098i
$149$	−9.45957	+	3.44300i	−0.774958	+	0.282062i	−0.699069	−	0.715054i	$-0.746402\pi$
$149$	−9.45957	+	3.44300i	−0.774958	+	0.282062i	−0.0758895	+	0.997116i	$0.524180\pi$
$150$	0.246515	+	0.206851i	0.0201279	+	0.0168893i
$151$	−2.12653			−0.173054			−0.0865272	−	0.996249i	$-0.527577\pi$
$151$	−2.12653			−0.173054			−0.0865272	+	0.996249i	$0.527577\pi$
$152$	4.95944	+	2.45021i	0.402264	+	0.198738i
$153$	11.8743			0.959977
$154$	−4.94595	−	4.15014i	−0.398556	−	0.334428i
$155$	−7.56708	+	2.75419i	−0.607803	+	0.221222i
$156$	0.106381	+	0.603315i	0.00851728	+	0.0483039i
$157$	−2.00562	+	11.3744i	−0.160066	+	0.907779i	0.793941	+	0.607995i	$0.208026\pi$
$157$	−2.00562	+	11.3744i	−0.160066	+	0.907779i	−0.954007	+	0.299784i	$0.903085\pi$
$158$	11.2188	+	4.08329i	0.892516	+	0.324849i
$159$	0.301027	+	0.521393i	0.0238730	+	0.0413492i
$160$	−3.19088	+	5.52676i	−0.252261	+	0.436929i
$161$	1.44217	−	1.21012i	0.113659	−	0.0953712i
$162$	12.1357	−	10.1831i	0.953473	−	0.800059i
$163$	−9.21567	+	15.9620i	−0.721827	+	1.25024i	0.238439	+	0.971157i	$0.423364\pi$
$163$	−9.21567	+	15.9620i	−0.721827	+	1.25024i	−0.960267	+	0.279084i	$0.909969\pi$
$164$	0.583217	+	1.01016i	0.0455416	+	0.0788804i
$165$	−0.550887	−	0.200507i	−0.0428865	−	0.0156094i
$166$	0.851559	−	4.82943i	0.0660938	−	0.374836i
$167$	0.337332	+	1.91311i	0.0261035	+	0.148041i	0.995074	−	0.0991367i	$-0.0316081\pi$
$167$	0.337332	+	1.91311i	0.0261035	+	0.148041i	−0.968970	+	0.247177i	$0.920497\pi$
$168$	0.226716	−	0.0825180i	0.0174915	−	0.00636640i
$169$	−4.54800	−	3.81623i	−0.349846	−	0.293556i
$170$	7.26792			0.557424
$171$	−8.94137	−	9.35387i	−0.683763	−	0.715309i
$172$	−11.0791			−0.844777
$173$	−9.23195	−	7.74653i	−0.701892	−	0.588958i	0.220419	−	0.975405i	$-0.429258\pi$
$173$	−9.23195	−	7.74653i	−0.701892	−	0.588958i	−0.922311	+	0.386448i	$0.873702\pi$
$174$	−0.681149	+	0.247918i	−0.0516378	+	0.0187946i
$175$	0.186405	+	1.05715i	0.0140909	+	0.0799134i
$176$	2.82173	−	16.0028i	0.212696	−	1.20626i
$177$	0.247432	+	0.0900581i	0.0185982	+	0.00676918i
$178$	−0.717577	−	1.24288i	−0.0537847	−	0.0931578i
$179$	9.15519	−	15.8573i	0.684291	−	1.18523i	−0.289368	−	0.957218i	$-0.593445\pi$
$179$	9.15519	−	15.8573i	0.684291	−	1.18523i	0.973659	−	0.228009i	$-0.0732215\pi$
$180$	2.95992	−	2.48367i	0.220619	−	0.185122i
$181$	−19.6501	+	16.4884i	−1.46058	+	1.22557i	−0.536206	+	0.844087i	$0.680143\pi$
$181$	−19.6501	+	16.4884i	−1.46058	+	1.22557i	−0.924375	+	0.381486i	$0.875412\pi$
$182$	−2.59187	+	4.48924i	−0.192122	+	0.332765i
$183$	−1.21581	−	2.10584i	−0.0898749	−	0.155668i
$184$	2.09142	+	0.761216i	0.154182	+	0.0561176i
$185$	0.980774	−	5.56225i	0.0721080	−	0.408945i
$186$	−0.449990	−	2.55202i	−0.0329948	−	0.187123i
$187$	−12.4418	+	4.52845i	−0.909835	+	0.331153i
$188$	−6.27767	−	5.26759i	−0.457846	−	0.384178i
$189$	−1.13473			−0.0825392
$190$	−5.47278	−	5.72526i	−0.397037	−	0.415354i
$191$	9.22171			0.667259			0.333630	−	0.942704i	$-0.391726\pi$
$191$	9.22171			0.667259			0.333630	+	0.942704i	$0.391726\pi$
$192$	−0.241179	−	0.202373i	−0.0174056	−	0.0146050i
$193$	−11.2782	+	4.10492i	−0.811821	+	0.295479i	−0.714376	−	0.699762i	$-0.753289\pi$
$193$	−11.2782	+	4.10492i	−0.811821	+	0.295479i	−0.0974450	+	0.995241i	$0.531067\pi$
$194$	−5.90593	−	33.4942i	−0.424021	−	2.40474i
$195$	−0.0817324	+	0.463527i	−0.00585298	+	0.0331939i
$196$	7.15218	+	2.60318i	0.510870	+	0.185941i
$197$	13.4486	+	23.2937i	0.958174	+	1.65961i	0.726931	+	0.686710i	$0.240946\pi$
$197$	13.4486	+	23.2937i	0.958174	+	1.65961i	0.231243	+	0.972896i	$0.425721\pi$
$198$	−8.92761	+	15.4631i	−0.634457	+	1.09891i
$199$	−3.50384	+	2.94007i	−0.248381	+	0.208416i	−0.758475	−	0.651702i	$-0.774055\pi$
$199$	−3.50384	+	2.94007i	−0.248381	+	0.208416i	0.510094	+	0.860119i	$0.329611\pi$
$200$	−0.972153	+	0.815733i	−0.0687416	+	0.0576810i
$201$	−1.13875	+	1.97238i	−0.0803215	+	0.139121i
$202$	−17.1865	−	29.7678i	−1.20923	−	2.09446i
$203$	−2.27217	−	0.827000i	−0.159475	−	0.0580441i
$204$	−0.160110	+	0.908028i	−0.0112099	+	0.0635747i
$205$	0.155619	+	0.882557i	0.0108689	+	0.0616405i
$206$	19.8812	−	7.23615i	1.38519	−	0.504167i
$207$	−3.98829	−	3.34657i	−0.277205	−	0.232603i
$208$	−13.0465			−0.904609
$209$	12.9360	+	6.39102i	0.894801	+	0.442076i
$210$	−0.345443			−0.0238378
$211$	−11.9217	−	10.0035i	−0.820721	−	0.688667i	0.132419	−	0.991194i	$-0.457725\pi$
$211$	−11.9217	−	10.0035i	−0.820721	−	0.688667i	−0.953141	+	0.302527i	$0.902170\pi$
$212$	4.15777	−	1.51331i	0.285557	−	0.103934i
$213$	0.339099	+	1.92313i	0.0232347	+	0.131770i
$214$	3.59564	−	20.3919i	0.245793	−	1.39396i
$215$	−7.99877	−	2.91131i	−0.545511	−	0.198550i
$216$	−0.670741	−	1.16176i	−0.0456381	−	0.0790475i
$217$	4.32215	−	7.48618i	0.293407	−	0.508195i
$218$	−17.7296	+	14.8769i	−1.20080	+	1.00759i
$219$	−0.354186	+	0.297197i	−0.0239336	+	0.0200827i
$220$	−2.15420	+	3.73119i	−0.145236	+	0.251557i
$221$	5.31514	+	9.20609i	0.357535	+	0.619269i
$222$	1.70795	+	0.621642i	0.114630	+	0.0417219i
$223$	−3.49526	+	19.8226i	−0.234060	+	1.32742i	0.610524	+	0.791998i	$0.290959\pi$
$223$	−3.49526	+	19.8226i	−0.234060	+	1.32742i	−0.844584	+	0.535423i	$0.820152\pi$
$224$	−1.18959	−	6.74650i	−0.0794828	−	0.450770i
$225$	2.78960	−	1.01533i	0.185974	−	0.0676888i
$226$	23.0911	+	19.3758i	1.53600	+	1.28886i
$227$	13.8680			0.920453			0.460226	−	0.887802i	$-0.347768\pi$
$227$	13.8680			0.920453			0.460226	+	0.887802i	$0.347768\pi$
$228$	0.835857	−	0.557624i	0.0553560	−	0.0369295i
$229$	8.70352			0.575145			0.287572	−	0.957759i	$-0.407152\pi$
$229$	8.70352			0.575145			0.287572	+	0.957759i	$0.407152\pi$
$230$	−2.44113	−	2.04835i	−0.160963	−	0.135064i
$231$	0.591357	−	0.215236i	0.0389084	−	0.0141615i
$232$	−0.496384	−	2.81513i	−0.0325892	−	0.184823i
$233$	2.72986	−	15.4818i	0.178839	−	1.01425i	−0.754780	−	0.655978i	$-0.772256\pi$
$233$	2.72986	−	15.4818i	0.178839	−	1.01425i	0.933619	−	0.358268i	$-0.116633\pi$
$234$	13.4709	+	4.90302i	0.880623	+	0.320520i
$235$	−3.14808	−	5.45263i	−0.205358	−	0.355690i
$236$	0.967567	−	1.67587i	0.0629832	−	0.109090i
$237$	−0.891418	+	0.747988i	−0.0579038	+	0.0485871i
$238$	−5.97656	+	5.01493i	−0.387403	+	0.325070i
$239$	6.91731	−	11.9811i	0.447443	−	0.774995i	−0.550775	−	0.834653i	$-0.685668\pi$
$239$	6.91731	−	11.9811i	0.447443	−	0.774995i	0.998219	+	0.0596587i	$0.0190013\pi$
$240$	−0.434707	−	0.752935i	−0.0280602	−	0.0486017i
$241$	−11.4424	−	4.16469i	−0.737070	−	0.268271i	−0.0539155	−	0.998546i	$-0.517170\pi$
$241$	−11.4424	−	4.16469i	−0.737070	−	0.268271i	−0.683154	+	0.730274i	$0.739392\pi$
$242$	−0.0135351	+	0.0767611i	−0.000870066	+	0.00493439i
$243$	0.818808	+	4.64369i	0.0525266	+	0.297893i
$244$	−16.7927	+	6.11203i	−1.07504	+	0.391283i
$245$	4.47958	+	3.75881i	0.286190	+	0.240142i
$246$	−0.288390			−0.0183871
$247$	3.24972	−	11.1192i	0.206775	−	0.707497i
$248$	10.2194			0.648929
$249$	0.366156	+	0.307242i	0.0232042	+	0.0194707i
$250$	1.70744	−	0.621459i	0.107988	−	0.0393045i
$251$	0.761116	+	4.31650i	0.0480412	+	0.272455i	0.999361	−	0.0357511i	$-0.0113824\pi$
$251$	0.761116	+	4.31650i	0.0480412	+	0.272455i	−0.951320	+	0.308206i	$0.900271\pi$
$252$	−0.720250	+	4.08474i	−0.0453715	+	0.257314i
$253$	5.45518	+	1.98552i	0.342964	+	0.124829i
$254$	8.83381	+	15.3006i	0.554282	+	0.960045i
$255$	−0.354200	+	0.613493i	−0.0221809	+	0.0384184i
$256$	15.9933	−	13.4200i	0.999582	−	0.838749i
$257$	17.7403	−	14.8859i	1.10661	−	0.928558i	0.108761	−	0.994068i	$-0.465312\pi$
$257$	17.7403	−	14.8859i	1.10661	−	0.928558i	0.997852	+	0.0655097i	$0.0208673\pi$
$258$	1.36961	−	2.37223i	0.0852682	−	0.147689i
$259$	3.03149	+	5.25069i	0.188368	+	0.326262i
$260$	3.25050	+	1.18308i	0.201587	+	0.0733717i
$261$	−1.16116	+	6.58529i	−0.0718743	+	0.407619i
$262$	4.66668	+	26.4661i	0.288308	+	1.63508i
$263$	−30.0779	+	10.9475i	−1.85468	+	0.675050i	−0.872074	+	0.489375i	$0.837225\pi$
$263$	−30.0779	+	10.9475i	−1.85468	+	0.675050i	−0.982611	+	0.185675i	$0.940553\pi$
$264$	0.569917	+	0.478217i	0.0350760	+	0.0294322i
$265$	3.39943			0.208825
$266$	8.45086	+	0.931735i	0.518155	+	0.0571283i
$267$	0.139884			0.00856074
$268$	12.8219	+	10.7589i	0.783224	+	0.657203i
$269$	−3.55876	+	1.29528i	−0.216981	+	0.0789748i	−0.448224	−	0.893921i	$-0.647943\pi$
$269$	−3.55876	+	1.29528i	−0.216981	+	0.0789748i	0.231242	+	0.972896i	$0.425721\pi$
$270$	0.333530	+	1.89154i	0.0202980	+	0.115116i
$271$	2.90657	−	16.4840i	0.176562	−	1.00133i	−0.759764	−	0.650199i	$-0.774686\pi$
$271$	2.90657	−	16.4840i	0.176562	−	1.00133i	0.936326	−	0.351132i	$-0.114203\pi$
$272$	−18.4516	−	6.71582i	−1.11879	−	0.407207i
$273$	−0.252628	−	0.437564i	−0.0152897	−	0.0264826i
$274$	−3.26728	+	5.65909i	−0.197383	+	0.341878i
$275$	−2.53572	+	2.12772i	−0.152910	+	0.128307i
$276$	0.309690	−	0.259861i	0.0186412	−	0.0156418i
$277$	−5.79462	+	10.0366i	−0.348165	+	0.603040i	−0.985924	−	0.167197i	$-0.946528\pi$
$277$	−5.79462	+	10.0366i	−0.348165	+	0.603040i	0.637758	+	0.770236i	$0.279862\pi$
$278$	5.31904	+	9.21285i	0.319015	+	0.552550i
$279$	−22.4639	−	8.17619i	−1.34488	−	0.489496i
$280$	0.236558	−	1.34159i	0.0141371	−	0.0801752i
$281$	−0.442986	−	2.51230i	−0.0264263	−	0.149871i	0.968739	−	0.248080i	$-0.0797997\pi$
$281$	−0.442986	−	2.51230i	−0.0264263	−	0.149871i	−0.995166	+	0.0982092i	$0.968689\pi$
$282$	1.90393	−	0.692974i	0.113377	−	0.0412660i
$283$	−0.397495	−	0.333538i	−0.0236286	−	0.0198268i	0.630897	−	0.775867i	$-0.282687\pi$
$283$	−0.397495	−	0.333538i	−0.0236286	−	0.0198268i	−0.654525	+	0.756040i	$0.727132\pi$
$284$	14.3515			0.851603
$285$	0.749989	−	0.182944i	0.0444255	−	0.0108366i
$286$	−15.9847			−0.945192
$287$	−0.736940	−	0.618366i	−0.0435002	−	0.0365010i
$288$	−17.8026	+	6.47960i	−1.04903	+	0.381814i
$289$	−0.173778	−	0.985542i	−0.0102222	−	0.0579731i
$290$	−0.710719	+	4.03069i	−0.0417348	+	0.236690i
$291$	3.11510	+	1.13381i	0.182611	+	0.0664649i
$292$	1.69897	+	2.94271i	0.0994250	+	0.172209i
$293$	−0.580211	+	1.00495i	−0.0338963	+	0.0587100i	−0.882476	−	0.470358i	$-0.844125\pi$
$293$	−0.580211	+	1.00495i	−0.0338963	+	0.0587100i	0.848580	+	0.529068i	$0.177458\pi$
$294$	−1.44154	+	1.20960i	−0.0840724	+	0.0705451i
$295$	1.13893	−	0.955673i	0.0663109	−	0.0556414i
$296$	−3.58385	+	6.20741i	−0.208307	+	0.360798i
$297$	−1.74953	−	3.03028i	−0.101518	−	0.175835i
$298$	−17.1883	−	6.25602i	−0.995689	−	0.362401i
$299$	0.809358	−	4.59010i	0.0468064	−	0.265452i
$300$	0.0400284	+	0.227012i	0.00231104	+	0.0131066i
$301$	8.58638	−	3.12519i	0.494911	−	0.180133i
$302$	−2.95996	−	2.48370i	−0.170327	−	0.142921i
$303$	3.35031			0.192470
$304$	8.60376	+	19.5922i	0.493460	+	1.12369i
$305$	−13.7298			−0.786168
$306$	16.5280	+	13.8687i	0.944844	+	0.792819i
$307$	14.0684	−	5.12048i	0.802926	−	0.292241i	0.0922276	−	0.995738i	$-0.470601\pi$
$307$	14.0684	−	5.12048i	0.802926	−	0.292241i	0.710698	+	0.703497i	$0.248379\pi$
$308$	−0.803108	−	4.55465i	−0.0457614	−	0.259526i
$309$	−0.358092	+	2.03084i	−0.0203712	+	0.115531i
$310$	−13.7496	−	5.00443i	−0.780923	−	0.284233i
$311$	−5.60315	−	9.70495i	−0.317726	−	0.550317i	0.662287	−	0.749250i	$-0.269586\pi$
$311$	−5.60315	−	9.70495i	−0.317726	−	0.550317i	−0.980013	+	0.198933i	$0.936252\pi$
$312$	0.298658	−	0.517291i	0.0169082	−	0.0292858i
$313$	10.4368	−	8.75749i	0.589921	−	0.495003i	−0.298267	−	0.954482i	$-0.596409\pi$
$313$	10.4368	−	8.75749i	0.589921	−	0.495003i	0.888188	+	0.459480i	$0.151964\pi$
$314$	−16.0765	+	13.4898i	−0.907252	+	0.761275i
$315$	−1.59336	+	2.75978i	−0.0897756	+	0.155496i
$316$	4.27600	+	7.40624i	0.240544	+	0.416634i
$317$	8.16123	+	2.97044i	0.458380	+	0.166837i	0.560881	−	0.827896i	$-0.310462\pi$
$317$	8.16123	+	2.97044i	0.458380	+	0.166837i	−0.102501	+	0.994733i	$0.532685\pi$
$318$	−0.189962	+	1.07733i	−0.0106525	+	0.0604134i
$319$	−1.29475	−	7.34288i	−0.0724919	−	0.411122i
$320$	−1.67048	+	0.608006i	−0.0933828	+	0.0339886i
$321$	1.54607	+	1.29731i	0.0862931	+	0.0724085i
$322$	3.42076			0.190632
$323$	10.3198	−	14.0530i	0.574210	−	0.781931i
$324$	11.3480			0.630446
$325$	2.03586	+	1.70829i	0.112929	+	0.0947590i
$326$	−31.4705	+	11.4543i	−1.74299	+	0.634396i
$327$	−0.391726	−	2.22159i	−0.0216625	−	0.122854i
$328$	0.197489	−	1.12001i	0.0109045	−	0.0618424i
$329$	6.35109	+	2.31161i	0.350147	+	0.127443i
$330$	−0.532608	−	0.922504i	−0.0293191	−	0.0507822i
$331$	11.6700	−	20.2130i	0.641439	−	1.11101i	−0.343672	−	0.939090i	$-0.611671\pi$
$331$	11.6700	−	20.2130i	0.641439	−	1.11101i	0.985112	−	0.171916i	$-0.0549957\pi$
$332$	2.69096	−	2.25798i	0.147685	−	0.123923i
$333$	12.8443	−	10.7776i	0.703862	−	0.590610i
$334$	−1.76489	+	3.05688i	−0.0965706	+	0.167265i
$335$	6.42985	+	11.1368i	0.351300	+	0.608470i
$336$	0.877000	+	0.319202i	0.0478443	+	0.0174139i
$337$	−2.23209	+	12.6588i	−0.121589	+	0.689568i	0.861686	+	0.507442i	$0.169409\pi$
$337$	−2.23209	+	12.6588i	−0.121589	+	0.689568i	−0.983275	+	0.182126i	$0.941702\pi$
$338$	−1.87326	−	10.6238i	−0.101892	−	0.577857i
$339$	−2.76087	+	1.00487i	−0.149950	+	0.0545772i
$340$	3.98816	+	3.34647i	0.216288	+	0.181488i
$341$	26.6557			1.44349
$342$	−1.52072	−	23.4630i	−0.0822313	−	1.26873i
$343$	−13.7915			−0.744671
$344$	8.27507	+	6.94361i	0.446162	+	0.374374i
$345$	0.291871	−	0.106232i	0.0157138	−	0.00571935i
$346$	−3.80251	−	21.5651i	−0.204424	−	1.15935i
$347$	−5.63215	+	31.9415i	−0.302350	+	1.71471i	0.333376	+	0.942794i	$0.391812\pi$
$347$	−5.63215	+	31.9415i	−0.302350	+	1.71471i	−0.635725	+	0.771916i	$0.719299\pi$
$348$	−0.487923	−	0.177589i	−0.0261554	−	0.00951978i
$349$	−6.05424	−	10.4863i	−0.324076	−	0.561316i	0.657249	−	0.753674i	$-0.271720\pi$
$349$	−6.05424	−	10.4863i	−0.324076	−	0.561316i	−0.981325	+	0.192357i	$0.938387\pi$
$350$	−0.975254	+	1.68919i	−0.0521295	+	0.0902910i
$351$	−2.15205	+	1.80579i	−0.114868	+	0.0963857i
$352$	16.1824	−	13.5786i	0.862523	−	0.723742i
$353$	11.5481	−	20.0019i	0.614643	−	1.06459i	−0.375804	−	0.926699i	$-0.622633\pi$
$353$	11.5481	−	20.0019i	0.614643	−	1.06459i	0.990447	−	0.137894i	$-0.0440332\pi$
$354$	0.239222	+	0.414345i	0.0127145	+	0.0220222i
$355$	10.3613	+	3.77120i	0.549919	+	0.200154i
$356$	0.178516	−	1.01241i	0.00946133	−	0.0536579i
$357$	−0.132049	−	0.748889i	−0.00698879	−	0.0396354i
$358$	31.2639	−	11.3791i	1.65235	−	0.601406i
$359$	−4.93802	−	4.14349i	−0.260619	−	0.218685i	0.503110	−	0.864222i	$-0.332189\pi$
$359$	−4.93802	−	4.14349i	−0.260619	−	0.218685i	−0.763729	+	0.645537i	$0.776634\pi$
$360$	−3.76736			−0.198557
$361$	−18.8410	+	2.45262i	−0.991634	+	0.129085i
$362$	−46.6092			−2.44972
$363$	−0.00581986	−	0.00488344i	−0.000305463	−	0.000256314i
$364$	−3.48929	+	1.27000i	−0.182888	+	0.0665659i
$365$	0.453334	+	2.57098i	0.0237286	+	0.134571i
$366$	0.767229	−	4.35117i	0.0401037	−	0.227439i
$367$	8.09901	+	2.94780i	0.422765	+	0.153874i	0.544637	−	0.838672i	$-0.316667\pi$
$367$	8.09901	+	2.94780i	0.422765	+	0.153874i	−0.121872	+	0.992546i	$0.538890\pi$
$368$	4.30470	+	7.45597i	0.224398	+	0.388669i
$369$	−1.33020	+	2.30398i	−0.0692476	+	0.119940i
$370$	7.86164	−	6.59670i	0.408707	−	0.342946i
$371$	−2.79542	+	2.34563i	−0.145131	+	0.121779i
$372$	0.928134	−	1.60758i	0.0481215	−	0.0833489i
$373$	4.75291	+	8.23228i	0.246096	+	0.426251i	0.962439	−	0.271497i	$-0.0875188\pi$
$373$	4.75291	+	8.23228i	0.246096	+	0.426251i	−0.716343	+	0.697748i	$0.754185\pi$
$374$	−22.6071	−	8.22830i	−1.16898	−	0.425475i
$375$	−0.0307538	+	0.174414i	−0.00158812	+	0.00900668i
$376$	1.38748	+	7.86878i	0.0715538	+	0.405801i
$377$	−5.62532	+	2.04745i	−0.289719	+	0.105449i
$378$	−1.57945	−	1.32532i	−0.0812381	−	0.0681669i
$379$	−11.3635			−0.583706			−0.291853	−	0.956463i	$-0.594272\pi$
$379$	−11.3635			−0.583706			−0.291853	+	0.956463i	$0.594272\pi$
$380$	−0.366946	−	5.66155i	−0.0188239	−	0.290432i
$381$	−1.72205			−0.0882234
$382$	12.8359	+	10.7706i	0.656741	+	0.551071i
$383$	2.56808	−	0.934706i	0.131223	−	0.0477612i	−0.275574	−	0.961280i	$-0.588868\pi$
$383$	2.56808	−	0.934706i	0.131223	−	0.0477612i	0.406797	+	0.913519i	$0.366646\pi$
$384$	0.293189	+	1.66276i	0.0149617	+	0.0848521i
$385$	0.617028	−	3.49934i	0.0314467	−	0.178343i
$386$	−20.4927	−	7.45874i	−1.04305	−	0.379640i
$387$	−12.6347	−	21.8839i	−0.642256	−	1.11242i
$388$	12.1814	−	21.0988i	0.618416	−	1.07113i
$389$	−16.9706	+	14.2400i	−0.860445	+	0.721999i	−0.962064	−	0.272824i	$-0.912042\pi$
$389$	−16.9706	+	14.2400i	−0.860445	+	0.721999i	0.101619	+	0.994823i	$0.467598\pi$
$390$	−0.655146	+	0.549733i	−0.0331746	+	0.0278368i
$391$	3.50748	−	6.07514i	0.177381	−	0.307233i
$392$	−3.71051	−	6.42680i	−0.187409	−	0.324602i
$393$	−2.46146	−	0.895897i	−0.124164	−	0.0451920i
$394$	−8.48669	+	48.1304i	−0.427553	+	2.42478i
$395$	1.14096	+	6.47068i	0.0574077	+	0.325575i
$396$	−12.0188	+	4.37447i	−0.603965	+	0.219825i
$397$	12.9927	+	10.9022i	0.652086	+	0.547165i	0.907703	−	0.419613i	$-0.137834\pi$
$397$	12.9927	+	10.9022i	0.652086	+	0.547165i	−0.255617	+	0.966778i	$0.582279\pi$
$398$	−8.31096			−0.416591
$399$	−0.490499	+	0.667938i	−0.0245557	+	0.0334387i
$400$	−4.90905			−0.245453
$401$	5.07050	+	4.25465i	0.253208	+	0.212467i	0.760552	−	0.649276i	$-0.224928\pi$
$401$	5.07050	+	4.25465i	0.253208	+	0.212467i	−0.507344	+	0.861744i	$0.669373\pi$
$402$	−3.88871	+	1.41538i	−0.193951	+	0.0705926i
$403$	−3.71627	−	21.0760i	−0.185121	−	1.04987i
$404$	4.27558	−	24.2480i	0.212718	−	1.20638i
$405$	8.19289	+	2.98197i	0.407108	+	0.148175i
$406$	−2.19677	−	3.80492i	−0.109024	−	0.188835i
$407$	−9.34796	+	16.1911i	−0.463361	+	0.802565i
$408$	0.688674	−	0.577866i	0.0340944	−	0.0286086i
$409$	27.3969	−	22.9888i	1.35469	−	1.13672i	0.377109	−	0.926169i	$-0.376918\pi$
$409$	27.3969	−	22.9888i	1.35469	−	1.13672i	0.977583	−	0.210552i	$-0.0675263\pi$
$410$	−0.814183	+	1.41021i	−0.0402096	+	0.0696451i
$411$	−0.318460	−	0.551588i	−0.0157085	−	0.0272078i
$412$	14.2413	+	5.18342i	0.701620	+	0.255369i
$413$	−0.277140	+	1.57174i	−0.0136372	+	0.0773402i
$414$	−1.64272	−	9.31632i	−0.0807352	−	0.457872i
$415$	2.53612	−	0.923072i	0.124493	−	0.0453118i
$416$	−12.9924	−	10.9019i	−0.637004	−	0.534510i
$417$	−1.03689			−0.0507766
$418$	10.5414	+	24.0045i	0.515598	+	1.17410i
$419$	−29.6681			−1.44938			−0.724691	−	0.689074i	$-0.758018\pi$
$419$	−29.6681			−1.44938			−0.724691	+	0.689074i	$0.758018\pi$
$420$	−0.189557	−	0.159057i	−0.00924942	−	0.00776118i
$421$	−11.6019	+	4.22276i	−0.565444	+	0.205805i	−0.608895	−	0.793251i	$-0.708387\pi$
$421$	−11.6019	+	4.22276i	−0.565444	+	0.205805i	0.0434509	+	0.999056i	$0.486165\pi$
$422$	−4.91037	−	27.8481i	−0.239033	−	1.35562i
$423$	3.24565	−	18.4070i	0.157809	−	0.894980i
$424$	−4.05389	−	1.47550i	−0.196874	−	0.0716564i
$425$	1.99995	+	3.46402i	0.0970120	+	0.168030i
$426$	−1.77414	+	3.07289i	−0.0859572	+	0.148882i
$427$	11.2903	−	9.47370i	0.546377	−	0.458465i
$428$	11.3624	−	9.53416i	0.549221	−	0.460851i
$429$	0.779008	−	1.34928i	0.0376108	−	0.0651439i
$430$	−7.73335	−	13.3946i	−0.372935	−	0.645943i
$431$	16.0374	+	5.83712i	0.772492	+	0.281164i	0.698038	−	0.716060i	$-0.254056\pi$
$431$	16.0374	+	5.83712i	0.772492	+	0.281164i	0.0744539	+	0.997224i	$0.476279\pi$
$432$	0.901098	−	5.11038i	0.0433541	−	0.245873i
$433$	−0.486245	−	2.75763i	−0.0233674	−	0.132523i	0.970892	−	0.239516i	$-0.0769889\pi$
$433$	−0.486245	−	2.75763i	−0.0233674	−	0.132523i	−0.994260	+	0.106993i	$0.965878\pi$
$434$	14.7597	−	5.37207i	0.708486	−	0.257868i
$435$	−0.305598	−	0.256427i	−0.0146523	−	0.0122947i
$436$	−16.5788			−0.793979
$437$	−7.42680	+	1.81161i	−0.355272	+	0.0866609i
$438$	−0.840113			−0.0401421
$439$	16.2517	+	13.6368i	0.775651	+	0.650848i	0.942149	−	0.335193i	$-0.108802\pi$
$439$	16.2517	+	13.6368i	0.775651	+	0.650848i	−0.166498	+	0.986042i	$0.553246\pi$
$440$	3.94743	−	1.43675i	0.188186	−	0.0684942i
$441$	3.01447	+	17.0959i	0.143546	+	0.814090i
$442$	−3.35410	+	19.0220i	−0.159538	+	0.904785i
$443$	−21.4052	−	7.79086i	−1.01699	−	0.370155i	−0.220878	−	0.975301i	$-0.570892\pi$
$443$	−21.4052	−	7.79086i	−1.01699	−	0.370155i	−0.796114	+	0.605146i	$0.793115\pi$
$444$	0.650979	+	1.12753i	0.0308941	+	0.0535101i
$445$	0.394919	−	0.684020i	0.0187210	−	0.0324256i
$446$	−28.0172	+	23.5092i	−1.32665	+	1.11319i
$447$	1.36574	−	1.14599i	0.0645974	−	0.0542036i
$448$	0.954142	−	1.65262i	0.0450790	−	0.0780791i
$449$	14.8849	+	25.7814i	0.702461	+	1.21670i	0.967600	+	0.252488i	$0.0812489\pi$
$449$	14.8849	+	25.7814i	0.702461	+	1.21670i	−0.265139	+	0.964210i	$0.585418\pi$
$450$	5.06878	+	1.84488i	0.238944	+	0.0869686i
$451$	0.515121	−	2.92140i	0.0242561	−	0.137563i
$452$	3.74947	+	21.2643i	0.176360	+	1.00019i
$453$	0.353904	−	0.128811i	0.0166279	−	0.00605205i
$454$	19.3032	+	16.1973i	0.905943	+	0.760177i
$455$	−2.85287			−0.133745
$456$	−0.973784	−	0.107363i	−0.0456016	−	0.00502773i
$457$	−36.7666			−1.71987			−0.859934	−	0.510406i	$-0.829495\pi$
$457$	−36.7666			−1.71987			−0.859934	+	0.510406i	$0.829495\pi$
$458$	12.1146	+	10.1654i	0.566078	+	0.474996i
$459$	−3.97319	+	1.44612i	−0.185453	+	0.0674993i
$460$	−0.396383	−	2.24800i	−0.0184814	−	0.104813i
$461$	−4.46796	+	25.3390i	−0.208093	+	1.18016i	0.684404	+	0.729103i	$0.260063\pi$
$461$	−4.46796	+	25.3390i	−0.208093	+	1.18016i	−0.892497	+	0.451053i	$0.851048\pi$
$462$	1.07451	+	0.391090i	0.0499907	+	0.0181951i
$463$	17.7844	+	30.8035i	0.826511	+	1.43156i	0.900759	+	0.434320i	$0.143011\pi$
$463$	17.7844	+	30.8035i	0.826511	+	1.43156i	−0.0742472	+	0.997240i	$0.523655\pi$
$464$	5.52885	−	9.57625i	0.256670	−	0.444566i
$465$	1.09251	−	0.916725i	0.0506640	−	0.0425121i
$466$	21.8819	−	18.3611i	1.01366	−	0.850560i
$467$	3.55785	−	6.16238i	0.164638	−	0.285161i	−0.771889	−	0.635758i	$-0.780688\pi$
$467$	3.55785	−	6.16238i	0.164638	−	0.285161i	0.936527	+	0.350596i	$0.114021\pi$
$468$	5.13441	+	8.89306i	0.237338	+	0.411082i
$469$	−12.9719	−	4.72139i	−0.598987	−	0.218013i
$470$	1.98658	−	11.2665i	0.0916341	−	0.519683i
$471$	−0.355204	−	2.01446i	−0.0163669	−	0.0928215i
$472$	−1.77300	+	0.645319i	−0.0816089	+	0.0297032i
$473$	21.5844	+	18.1114i	0.992449	+	0.832764i
$474$	−2.11440			−0.0971178
$475$	1.22279	−	4.18387i	0.0561053	−	0.191969i
$476$	−5.58864			−0.256155
$477$	7.73066	+	6.48679i	0.353963	+	0.297010i
$478$	23.6218	−	8.59764i	1.08044	−	0.393247i
$479$	−1.53032	−	8.67887i	−0.0699220	−	0.396547i	−0.999603	−	0.0281814i	$-0.991028\pi$
$479$	−1.53032	−	8.67887i	−0.0699220	−	0.396547i	0.929681	−	0.368366i	$-0.120083\pi$
$480$	0.196263	−	1.11306i	0.00895816	−	0.0508042i
$481$	14.1052	+	5.13387i	0.643142	+	0.234085i
$482$	−11.0627	−	19.1612i	−0.503893	−	0.872768i
$483$	−0.166710	+	0.288750i	−0.00758557	+	0.0131386i
$484$	−0.0427713	+	0.0358894i	−0.00194415	+	0.00163133i
$485$	14.3388	−	12.0317i	0.651090	−	0.546329i
$486$	−4.28393	+	7.41999i	−0.194323	+	0.336577i
$487$	2.39153	+	4.14225i	0.108370	+	0.187703i	0.915110	−	0.403204i	$-0.132103\pi$
$487$	2.39153	+	4.14225i	0.108370	+	0.187703i	−0.806740	+	0.590907i	$0.798770\pi$
$488$	16.3731	+	5.95933i	0.741177	+	0.269766i
$489$	0.566835	−	3.21468i	0.0256331	−	0.145373i
$490$	1.84508	+	10.4639i	0.0833520	+	0.472713i
$491$	−9.46362	+	3.44448i	−0.427087	+	0.155447i	−0.546615	−	0.837384i	$-0.684084\pi$
$491$	−9.46362	+	3.44448i	−0.427087	+	0.155447i	0.119528	+	0.992831i	$0.461862\pi$
$492$	−0.158250	−	0.132787i	−0.00713445	−	0.00598652i
$493$	−9.00984			−0.405783
$494$	17.5101	−	11.6815i	0.787818	−	0.525575i
$495$	−9.82663			−0.441674
$496$	30.2827	+	25.4102i	1.35973	+	1.14095i
$497$	−11.1224	+	4.04824i	−0.498910	+	0.181588i
$498$	0.150815	+	0.855312i	0.00675817	+	0.0383275i
$499$	−0.333774	+	1.89292i	−0.0149418	+	0.0847390i	−0.991367	−	0.131118i	$-0.958143\pi$
$499$	−0.333774	+	1.89292i	−0.0149418	+	0.0847390i	0.976425	+	0.215857i	$0.0692545\pi$
$500$	1.22308	+	0.445165i	0.0546978	+	0.0199084i
$501$	−0.172023	−	0.297953i	−0.00768542	−	0.0133115i
$502$	−3.98209	+	6.89718i	−0.177729	+	0.307836i
$503$	−12.4324	+	10.4320i	−0.554332	+	0.465140i	−0.876405	−	0.481575i	$-0.840065\pi$
$503$	−12.4324	+	10.4320i	−0.554332	+	0.465140i	0.322073	+	0.946715i	$0.395620\pi$
$504$	3.09798	−	2.59951i	0.137995	−	0.115791i
$505$	9.45858	−	16.3827i	0.420901	−	0.729022i
$506$	5.27417	+	9.13513i	0.234465	+	0.406106i
$507$	0.988056	+	0.359623i	0.0438811	+	0.0159714i
$508$	−2.19764	+	12.4634i	−0.0975045	+	0.552976i
$509$	−5.87363	−	33.3110i	−0.260344	−	1.47649i	−0.781973	−	0.623313i	$-0.785786\pi$
$509$	−5.87363	−	33.3110i	−0.260344	−	1.47649i	0.521629	−	0.853173i	$-0.325325\pi$
$510$	−1.20955	+	0.440242i	−0.0535600	+	0.0194942i
$511$	−2.14679	−	1.80137i	−0.0949683	−	0.0796878i
$512$	18.8686			0.833884
$513$	4.13101	+	2.04092i	0.182388	+	0.0901088i
$514$	42.0793			1.85604
$515$	8.91969	+	7.48451i	0.393048	+	0.329807i
$516$	1.84383	−	0.671099i	0.0811701	−	0.0295435i
$517$	3.61904	+	20.5246i	0.159165	+	0.902671i
$518$	−1.91301	+	10.8492i	−0.0840527	+	0.476687i
$519$	2.00565	+	0.729996i	0.0880381	+	0.0320433i
$520$	−1.68634	−	2.92083i	−0.0739509	−	0.128087i
$521$	−3.44419	+	5.96551i	−0.150893	+	0.261354i	−0.931556	−	0.363598i	$-0.881548\pi$
$521$	−3.44419	+	5.96551i	−0.150893	+	0.261354i	0.780663	+	0.624952i	$0.214881\pi$
$522$	−9.30761	+	7.81001i	−0.407383	+	0.341835i
$523$	−15.4658	+	12.9773i	−0.676271	+	0.567459i	−0.914914	−	0.403648i	$-0.867742\pi$
$523$	−15.4658	+	12.9773i	−0.676271	+	0.567459i	0.238643	+	0.971107i	$0.423297\pi$
$524$	−9.62535	+	16.6716i	−0.420485	+	0.728302i
$525$	−0.0950574	−	0.164644i	−0.00414865	−	0.00718567i
$526$	−54.6523	−	19.8918i	−2.38295	−	0.867324i
$527$	5.59323	−	31.7208i	0.243645	−	1.38178i
$528$	0.499741	+	2.83417i	0.0217484	+	0.123341i
$529$	18.7227	−	6.81449i	0.814029	−	0.296282i
$530$	4.73173	+	3.97040i	0.205533	+	0.172463i
$531$	4.41366			0.191536
$532$	4.20827	+	4.40241i	0.182452	+	0.190869i
$533$	−2.38169			−0.103163
$534$	0.194707	+	0.163379i	0.00842580	+	0.00707008i
$535$	10.7086	−	3.89760i	0.462972	−	0.168508i
$536$	−2.83388	−	16.0717i	−0.122405	−	0.694193i
$537$	−0.563114	+	3.19358i	−0.0243002	+	0.137813i
$538$	−6.46635	−	2.35356i	−0.278784	−	0.101469i
$539$	−9.67835	−	16.7634i	−0.416876	−	0.722050i
$540$	−0.687928	+	1.19153i	−0.0296037	+	0.0512751i
$541$	2.00813	−	1.68502i	0.0863363	−	0.0724447i	−0.598598	−	0.801050i	$-0.704275\pi$
$541$	2.00813	−	1.68502i	0.0863363	−	0.0724447i	0.684934	+	0.728605i	$0.259831\pi$
$542$	23.2983	−	19.5496i	1.00075	−	0.839729i
$543$	2.27149	−	3.93433i	0.0974788	−	0.168838i
$544$	−12.7632	−	22.1065i	−0.547218	−	0.947810i
$545$	−11.9693	−	4.35647i	−0.512709	−	0.186611i
$546$	0.159420	−	0.904113i	0.00682253	−	0.0386925i
$547$	4.61386	+	26.1665i	0.197274	+	1.11880i	0.909143	+	0.416485i	$0.136738\pi$
$547$	4.61386	+	26.1665i	0.197274	+	1.11880i	−0.711868	+	0.702313i	$0.752151\pi$
$548$	−4.39856	+	1.60094i	−0.187897	+	0.0683889i
$549$	−31.2231	−	26.1993i	−1.33257	−	1.11816i
$550$	−6.01462			−0.256464
$551$	6.78444	+	7.09744i	0.289027	+	0.302361i
$552$	−0.394172			−0.0167771
$553$	−5.40306	−	4.53370i	−0.229761	−	0.192793i
$554$	−19.7880	+	7.20224i	−0.840711	+	0.305994i
$555$	0.173699	+	0.985098i	0.00737313	+	0.0418151i
$556$	−1.32325	+	7.50453i	−0.0561183	+	0.318263i
$557$	−16.3758	−	5.96029i	−0.693864	−	0.252546i	−0.0290750	−	0.999577i	$-0.509256\pi$
$557$	−16.3758	−	5.96029i	−0.693864	−	0.252546i	−0.664789	+	0.747032i	$0.731478\pi$
$558$	−21.7185	−	37.6176i	−0.919418	−	1.59248i
$559$	11.3110	−	19.5913i	0.478405	−	0.828622i
$560$	4.03681	−	3.38729i	0.170587	−	0.143139i
$561$	1.79631	−	1.50728i	0.0758402	−	0.0636375i
$562$	2.31766	−	4.01431i	0.0977647	−	0.169333i
$563$	1.12668	+	1.95146i	0.0474838	+	0.0822443i	0.888790	−	0.458314i	$-0.151546\pi$
$563$	1.12668	+	1.95146i	0.0474838	+	0.0822443i	−0.841307	+	0.540558i	$0.818213\pi$
$564$	1.36383	+	0.496392i	0.0574275	+	0.0209019i
$565$	−2.88072	+	16.3374i	−0.121193	+	0.687318i
$566$	−0.163723	−	0.928516i	−0.00688177	−	0.0390285i
$567$	−8.79476	+	3.20103i	−0.369345	+	0.134431i
$568$	−10.7192	−	8.99447i	−0.449767	−	0.377400i
$569$	−8.49148			−0.355982			−0.177991	−	0.984032i	$-0.556960\pi$
$569$	−8.49148			−0.355982			−0.177991	+	0.984032i	$0.556960\pi$
$570$	1.25760	+	0.621315i	0.0526749	+	0.0260240i
$571$	−2.29006			−0.0958359			−0.0479179	−	0.998851i	$-0.515259\pi$
$571$	−2.29006			−0.0958359			−0.0479179	+	0.998851i	$0.515259\pi$
$572$	−8.77133	−	7.36002i	−0.366748	−	0.307738i
$573$	−1.53471	+	0.558589i	−0.0641134	+	0.0233354i
$574$	−0.303535	−	1.72143i	−0.0126693	−	0.0718513i
$575$	0.304541	−	1.72714i	0.0127002	−	0.0720266i
$576$	−4.95905	−	1.80495i	−0.206627	−	0.0752061i
$577$	1.00458	+	1.73999i	0.0418213	+	0.0724366i	0.886178	−	0.463344i	$-0.153351\pi$
$577$	1.00458	+	1.73999i	0.0418213	+	0.0724366i	−0.844357	+	0.535781i	$0.820017\pi$
$578$	0.909189	−	1.57476i	0.0378173	−	0.0655015i
$579$	1.62831	−	1.36631i	0.0676701	−	0.0567819i
$580$	−2.24590	+	1.88453i	−0.0932558	+	0.0782509i
$581$	−1.44857	+	2.50900i	−0.0600970	+	0.104091i
$582$	3.01174	+	5.21649i	0.124841	+	0.216230i
$583$	−10.5740	−	3.84862i	−0.437931	−	0.159394i
$584$	0.575306	−	3.26272i	0.0238063	−	0.135012i
$585$	1.37000	+	7.76968i	0.0566427	+	0.321237i
$586$	−1.98135	+	0.721154i	−0.0818490	+	0.0297906i
$587$	−5.66052	−	4.74974i	−0.233635	−	0.196043i	0.518452	−	0.855106i	$-0.326508\pi$
$587$	−5.66052	−	4.74974i	−0.233635	−	0.196043i	−0.752087	+	0.659064i	$0.770953\pi$
$588$	−1.34797			−0.0555895
$589$	−29.1996	+	19.4799i	−1.20315	+	0.802654i
$590$	2.70148			0.111218
$591$	−3.64914	−	3.06199i	−0.150106	−	0.125954i
$592$	−26.0545	+	9.48305i	−1.07083	+	0.389751i
$593$	−4.07647	−	23.1188i	−0.167401	−	0.949377i	−0.946555	−	0.322544i	$-0.895462\pi$
$593$	−4.07647	−	23.1188i	−0.167401	−	0.949377i	0.779154	−	0.626833i	$-0.215649\pi$
$594$	1.10403	−	6.26129i	0.0452991	−	0.256904i
$595$	−4.03481	−	1.46855i	−0.165411	−	0.0602047i
$596$	−6.55126	−	11.3471i	−0.268350	−	0.464796i
$597$	0.405033	−	0.701537i	0.0165769	−	0.0287120i
$598$	6.48761	−	5.44375i	0.265298	−	0.222612i
$599$	−24.7199	+	20.7425i	−1.01003	+	0.847514i	−0.988342	−	0.152251i	$-0.951348\pi$
$599$	−24.7199	+	20.7425i	−1.01003	+	0.847514i	−0.0216857	+	0.999765i	$0.506903\pi$
$600$	0.112378	−	0.194644i	0.00458780	−	0.00794630i
$601$	−14.9179	−	25.8385i	−0.608513	−	1.05397i	−0.991486	−	0.130215i	$-0.958433\pi$
$601$	−14.9179	−	25.8385i	−0.608513	−	1.05397i	0.382973	−	0.923759i	$-0.374900\pi$
$602$	15.6017	+	5.67854i	0.635876	+	0.231440i
$603$	−6.62915	+	37.5958i	−0.269960	+	1.53102i
$604$	−0.480630	−	2.72579i	−0.0195565	−	0.110911i
$605$	−0.0403102	+	0.0146717i	−0.00163884	+	0.000596490i
$606$	4.66336	+	3.91303i	0.189436	+	0.158956i
$607$	−9.11607			−0.370010			−0.185005	−	0.982738i	$-0.559230\pi$
$607$	−9.11607			−0.370010			−0.185005	+	0.982738i	$0.559230\pi$
$608$	−7.80353	+	26.7004i	−0.316475	+	1.08285i
$609$	0.428236			0.0173530
$610$	−19.1108	−	16.0359i	−0.773775	−	0.649274i
$611$	15.7237	−	5.72298i	0.636115	−	0.231527i
$612$	2.68377	+	15.2204i	0.108485	+	0.615250i
$613$	7.30218	−	41.4127i	0.294932	−	1.67264i	−0.372544	−	0.928014i	$-0.621515\pi$
$613$	7.30218	−	41.4127i	0.294932	−	1.67264i	0.667477	−	0.744631i	$-0.267374\pi$
$614$	25.5626	+	9.30403i	1.03162	+	0.375480i
$615$	−0.0793579	−	0.137452i	−0.00320002	−	0.00554260i
$616$	−2.25468	+	3.90523i	−0.0908438	+	0.157346i
$617$	25.8029	−	21.6512i	1.03878	−	0.871643i	0.0469138	−	0.998899i	$-0.485061\pi$
$617$	25.8029	−	21.6512i	1.03878	−	0.871643i	0.991870	+	0.127256i	$0.0406170\pi$
$618$	−2.87038	+	2.40853i	−0.115464	+	0.0968854i
$619$	20.8458	−	36.1060i	0.837865	−	1.45122i	−0.0538116	−	0.998551i	$-0.517137\pi$
$619$	20.8458	−	36.1060i	0.837865	−	1.45122i	0.891676	−	0.452673i	$-0.149530\pi$
$620$	−5.24061	−	9.07700i	−0.210468	−	0.364541i
$621$	1.74207	+	0.634061i	0.0699068	+	0.0254440i
$622$	3.53585	−	20.0528i	0.141775	−	0.804043i
$623$	0.147230	+	0.834981i	0.00589863	+	0.0334528i
$624$	2.17124	−	0.790266i	0.0869191	−	0.0316360i
$625$	0.766044	+	0.642788i	0.0306418	+	0.0257115i
$626$	24.7556			0.989431
$627$	−2.53998	−	0.280041i	−0.101437	−	0.0111838i
$628$	−15.0331			−0.599884
$629$	17.3062	+	14.5217i	0.690045	+	0.579016i
$630$	−5.44114	+	1.98041i	−0.216780	+	0.0789016i
$631$	−1.44547	−	8.19764i	−0.0575431	−	0.326343i	0.942424	−	0.334420i	$-0.108540\pi$
$631$	−1.44547	−	8.19764i	−0.0575431	−	0.326343i	−0.999967	+	0.00807654i	$0.997429\pi$
$632$	1.44794	−	8.21165i	0.0575958	−	0.326642i
$633$	2.58999	+	0.942679i	0.102943	+	0.0374681i
$634$	7.89042	+	13.6666i	0.313369	+	0.542770i
$635$	−4.86169	+	8.42070i	−0.192930	+	0.334165i
$636$	−0.600286	+	0.503699i	−0.0238029	+	0.0199730i
$637$	−11.9051	+	9.98954i	−0.471696	+	0.395800i
$638$	6.77400	−	11.7329i	0.268185	−	0.464511i
$639$	16.3664	+	28.3475i	0.647446	+	1.12141i
$640$	8.95847	+	3.26062i	0.354115	+	0.128887i
$641$	−1.26074	+	7.15002i	−0.0497963	+	0.282409i	−0.999530	−	0.0306495i	$-0.990242\pi$
$641$	−1.26074	+	7.15002i	−0.0497963	+	0.282409i	0.949734	+	0.313058i	$0.101354\pi$
$642$	0.636804	+	3.61149i	0.0251326	+	0.142534i
$643$	−3.35653	+	1.22168i	−0.132369	+	0.0481783i	−0.407355	−	0.913270i	$-0.633549\pi$
$643$	−3.35653	+	1.22168i	−0.132369	+	0.0481783i	0.274986	+	0.961448i	$0.411327\pi$
$644$	1.87709	+	1.57507i	0.0739678	+	0.0620664i
$645$	1.50753			0.0593590
$646$	30.7777	−	7.50756i	1.21093	−	0.295381i
$647$	21.0229			0.826494			0.413247	−	0.910619i	$-0.364395\pi$
$647$	21.0229			0.826494			0.413247	+	0.910619i	$0.364395\pi$
$648$	−8.47590	−	7.11213i	−0.332965	−	0.279391i
$649$	−4.62461	+	1.68322i	−0.181532	+	0.0660722i
$650$	0.838543	+	4.75562i	0.0328904	+	0.186531i
$651$	−0.265845	+	1.50768i	−0.0104193	+	0.0590908i
$652$	−22.5430	−	8.20498i	−0.882852	−	0.321332i
$653$	11.6323	+	20.1477i	0.455207	+	0.788441i	0.998700	−	0.0509725i	$-0.0162321\pi$
$653$	11.6323	+	20.1477i	0.455207	+	0.788441i	−0.543494	+	0.839413i	$0.682899\pi$
$654$	2.04948	−	3.54980i	0.0801409	−	0.138808i
$655$	−11.3300	+	9.50703i	−0.442701	+	0.371470i
$656$	3.37010	−	2.82785i	0.131580	−	0.110409i
$657$	−3.87503	+	6.71174i	−0.151179	+	0.261850i
$658$	6.14035	+	10.6354i	0.239376	+	0.414611i
$659$	22.1075	+	8.04649i	0.861188	+	0.313447i	0.734593	−	0.678508i	$-0.237373\pi$
$659$	22.1075	+	8.04649i	0.861188	+	0.313447i	0.126595	+	0.991955i	$0.459595\pi$
$660$	0.132500	−	0.751445i	0.00515756	−	0.0292500i
$661$	−3.70008	−	20.9842i	−0.143916	−	0.816190i	−0.968231	−	0.250058i	$-0.919550\pi$
$661$	−3.70008	−	20.9842i	−0.143916	−	0.816190i	0.824315	−	0.566132i	$-0.191561\pi$
$662$	39.8516	−	14.5048i	1.54888	−	0.563745i
$663$	−1.44221	−	1.21016i	−0.0560107	−	0.0469985i
$664$	−3.42503			−0.132917
$665$	1.88139	+	4.28422i	0.0729570	+	0.166135i
$666$	30.4660			1.18054
$667$	3.02619	+	2.53928i	0.117175	+	0.0983212i
$668$	−2.37598	+	0.864785i	−0.0919293	+	0.0334595i
$669$	−0.619026	−	3.51067i	−0.0239329	−	0.135730i
$670$	−4.05753	+	23.0114i	−0.156756	+	0.889007i
$671$	42.7070	+	15.5441i	1.64868	+	0.600072i
$672$	0.606633	+	1.05072i	0.0234014	+	0.0405324i
$673$	−3.87301	+	6.70824i	−0.149293	+	0.258584i	−0.930967	−	0.365105i	$-0.881033\pi$
$673$	−3.87301	+	6.70824i	−0.149293	+	0.258584i	0.781673	+	0.623688i	$0.214367\pi$
$674$	−17.8919	+	15.0130i	−0.689168	+	0.578281i
$675$	−0.809763	+	0.679472i	−0.0311678	+	0.0261529i
$676$	3.86372	−	6.69216i	0.148605	−	0.257391i
$677$	1.65573	+	2.86781i	0.0636348	+	0.110219i	0.896088	−	0.443877i	$-0.146397\pi$
$677$	1.65573	+	2.86781i	0.0636348	+	0.110219i	−0.832453	+	0.554096i	$0.813064\pi$
$678$	−5.01656	−	1.82588i	−0.192660	−	0.0701224i
$679$	−3.48911	+	19.7877i	−0.133900	+	0.759384i
$680$	−0.881456	−	4.99899i	−0.0338023	−	0.191702i
$681$	−2.30796	+	0.840030i	−0.0884414	+	0.0321900i
$682$	37.1027	+	31.1328i	1.42073	+	1.19214i
$683$	−4.09964			−0.156868			−0.0784342	−	0.996919i	$-0.524992\pi$
$683$	−4.09964			−0.156868			−0.0784342	+	0.996919i	$0.524992\pi$
$684$	9.96891	−	13.5752i	0.381171	−	0.519060i
$685$	−3.59629			−0.137407
$686$	−19.1967	−	16.1079i	−0.732933	−	0.615004i
$687$	−1.44847	+	0.527200i	−0.0552626	+	0.0201139i
$688$	7.25613	+	41.1516i	0.276637	+	1.56889i
$689$	−1.56881	+	8.89717i	−0.0597670	+	0.338955i
$690$	0.530336	+	0.193026i	0.0201895	+	0.00734839i
$691$	11.4219	+	19.7832i	0.434508	+	0.752590i	0.997255	−	0.0740389i	$-0.0235889\pi$
$691$	11.4219	+	19.7832i	0.434508	+	0.752590i	−0.562747	+	0.826629i	$0.690256\pi$
$692$	7.84294	−	13.5844i	0.298144	−	0.516400i
$693$	8.08064	−	6.78046i	0.306958	−	0.257568i
$694$	−45.1459	+	37.8819i	−1.71372	+	1.43798i
$695$	−2.92734	+	5.07030i	−0.111040	+	0.192327i
$696$	0.253132	+	0.438437i	0.00959494	+	0.0166189i
$697$	−3.36843	−	1.22601i	−0.127588	−	0.0464383i
$698$	3.82050	−	21.6671i	0.144608	−	0.820113i
$699$	0.483469	+	2.74189i	0.0182865	+	0.103708i
$700$	−1.31293	+	0.477868i	−0.0496241	+	0.0180617i
$701$	−33.0796	−	27.7571i	−1.24940	−	1.04837i	−0.996729	−	0.0808184i	$-0.974247\pi$
$701$	−33.0796	−	27.7571i	−1.24940	−	1.04837i	−0.252671	−	0.967552i	$-0.581309\pi$
$702$	−5.10457			−0.192660
$703$	−1.59233	−	24.5677i	−0.0600557	−	0.926590i
$704$	5.88442			0.221778
$705$	0.854198	+	0.716757i	0.0321710	+	0.0269946i
$706$	39.4354	−	14.3533i	1.48417	−	0.540194i
$707$	3.52625	+	19.9984i	0.132618	+	0.752116i
$708$	−0.0595128	+	0.337514i	−0.00223663	+	0.0126845i
$709$	−11.7936	−	4.29251i	−0.442917	−	0.161209i	0.110928	−	0.993828i	$-0.464618\pi$
$709$	−11.7936	−	4.29251i	−0.442917	−	0.161209i	−0.553845	+	0.832620i	$0.686840\pi$
$710$	10.0175	+	17.3508i	0.375949	+	0.651163i
$711$	−9.75270	+	16.8922i	−0.365755	+	0.633506i
$712$	−0.767843	+	0.644297i	−0.0287761	+	0.0241461i
$713$	−10.8186	+	9.07791i	−0.405161	+	0.339970i
$714$	0.690870	−	1.19662i	0.0258552	−	0.0447825i
$715$	−4.39858	−	7.61857i	−0.164498	−	0.284918i
$716$	22.3951	+	8.15114i	0.836943	+	0.304622i
$717$	−0.425467	+	2.41295i	−0.0158894	+	0.0901131i
$718$	−2.03390	−	11.5348i	−0.0759045	−	0.430476i
$719$	−21.1132	+	7.68458i	−0.787390	+	0.286587i	−0.704251	−	0.709951i	$-0.748717\pi$
$719$	−21.1132	+	7.68458i	−0.787390	+	0.286587i	−0.0831393	+	0.996538i	$0.526495\pi$
$720$	−11.1637	−	9.36746i	−0.416047	−	0.349105i
$721$	−12.4992			−0.465495
$722$	−29.0898	−	18.5917i	−1.08261	−	0.691913i
$723$	2.15655			0.0802031
$724$	−25.5761	−	21.4609i	−0.950527	−	0.797587i
$725$	−2.11667	+	0.770404i	−0.0786111	+	0.0286121i
$726$	−0.00239712	−	0.0135947i	−8.89653e−5	−	0.000504547i
$727$	5.13769	−	29.1373i	0.190546	−	1.08064i	−0.728073	−	0.685499i	$-0.759584\pi$
$727$	5.13769	−	29.1373i	0.190546	−	1.08064i	0.918620	−	0.395143i	$-0.129305\pi$
$728$	3.40211	+	1.23827i	0.126091	+	0.0458932i
$729$	12.6605	+	21.9286i	0.468907	+	0.812170i
$730$	−2.37180	+	4.10808i	−0.0877843	+	0.152047i
$731$	26.0820	−	21.8854i	0.964678	−	0.809461i
$732$	2.42447	−	2.03437i	0.0896111	−	0.0751926i
$733$	−23.4156	+	40.5570i	−0.864876	+	1.49801i	0.00229524	+	0.999997i	$0.499269\pi$
$733$	−23.4156	+	40.5570i	−0.864876	+	1.49801i	−0.867171	+	0.498011i	$0.834064\pi$
$734$	7.83027	+	13.5624i	0.289021	+	0.500598i
$735$	−0.973191	−	0.354213i	−0.0358967	−	0.0130653i
$736$	−1.94351	+	11.0222i	−0.0716386	+	0.406283i
$737$	−7.39178	−	41.9208i	−0.272280	−	1.54417i
$738$	−4.54249	+	1.65333i	−0.167212	+	0.0608600i
$739$	29.8695	+	25.0635i	1.09877	+	0.921976i	0.997342	−	0.0728667i	$-0.0232148\pi$
$739$	29.8695	+	25.0635i	1.09877	+	0.921976i	0.101427	+	0.994843i	$0.467659\pi$
$740$	7.35136			0.270241
$741$	0.132696	+	2.04734i	0.00487470	+	0.0752110i
$742$	−6.63061			−0.243417
$743$	9.29569	+	7.80001i	0.341026	+	0.286155i	0.797174	−	0.603749i	$-0.206327\pi$
$743$	9.29569	+	7.80001i	0.341026	+	0.286155i	−0.456149	+	0.889904i	$0.650772\pi$
$744$	−1.70074	+	0.619019i	−0.0623522	+	0.0226943i
$745$	−1.74806	−	9.91373i	−0.0640439	−	0.363211i
$746$	−2.99930	+	17.0099i	−0.109812	+	0.622776i
$747$	7.52881	+	2.74026i	0.275465	+	0.100261i
$748$	−8.61662	−	14.9244i	−0.315055	−	0.545691i
$749$	−6.11650	+	10.5941i	−0.223492	+	0.387099i
$750$	−0.246515	+	0.206851i	−0.00900146	+	0.00755312i
$751$	−4.07011	+	3.41523i	−0.148521	+	0.124624i	−0.714021	−	0.700125i	$-0.753128\pi$
$751$	−4.07011	+	3.41523i	−0.148521	+	0.124624i	0.565500	+	0.824748i	$0.308683\pi$
$752$	−15.4541	+	26.7673i	−0.563552	+	0.976101i
$753$	−0.388132	−	0.672265i	−0.0141443	−	0.0244987i
$754$	−10.2213	−	3.72027i	−0.372239	−	0.135484i
$755$	0.369268	−	2.09422i	0.0134390	−	0.0762165i
$756$	−0.256466	−	1.45449i	−0.00932759	−	0.0528994i
$757$	19.9629	−	7.26590i	0.725564	−	0.264084i	0.0472781	−	0.998882i	$-0.484945\pi$
$757$	19.9629	−	7.26590i	0.725564	−	0.264084i	0.678286	+	0.734798i	$0.262723\pi$
$758$	−15.8172	−	13.2722i	−0.574505	−	0.482067i
$759$	−1.02814			−0.0373191
$760$	−3.27418	+	4.45862i	−0.118767	+	0.161731i
$761$	37.4718			1.35835			0.679176	−	0.733975i	$-0.262337\pi$
$761$	37.4718			1.35835			0.679176	+	0.733975i	$0.262337\pi$
$762$	−2.39696	−	2.01129i	−0.0868327	−	0.0728613i
$763$	12.8486	−	4.67651i	0.465151	−	0.169301i
$764$	2.08425	+	11.8204i	0.0754057	+	0.427647i
$765$	−2.06194	+	11.6939i	−0.0745497	+	0.422793i
$766$	4.66627	+	1.69838i	0.168599	+	0.0613650i
$767$	1.97563	+	3.42190i	0.0713360	+	0.123558i
$768$	−1.84877	+	3.20217i	−0.0667119	+	0.115548i
$769$	−2.29530	+	1.92599i	−0.0827707	+	0.0694529i	−0.683234	−	0.730199i	$-0.739427\pi$
$769$	−2.29530	+	1.92599i	−0.0827707	+	0.0694529i	0.600464	+	0.799652i	$0.294983\pi$
$770$	4.94595	−	4.15014i	0.178240	−	0.149561i
$771$	−2.05072	+	3.55196i	−0.0738550	+	0.127921i
$772$	−7.81074	−	13.5286i	−0.281115	−	0.486905i
$773$	−14.9175	−	5.42954i	−0.536547	−	0.195287i	0.0595125	−	0.998228i	$-0.481045\pi$
$773$	−14.9175	−	5.42954i	−0.536547	−	0.195287i	−0.596059	+	0.802941i	$0.703268\pi$
$774$	7.97305	−	45.2174i	0.286585	−	1.62531i
$775$	−1.39834	−	7.93038i	−0.0502299	−	0.284868i
$776$	−22.3215	+	8.12438i	−0.801297	+	0.291648i
$777$	−0.822563	−	0.690212i	−0.0295093	−	0.0247612i
$778$	−40.2536			−1.44316
$779$	1.57066	+	3.57664i	0.0562747	+	0.128147i
$780$	−0.612622			−0.0219354
$781$	−27.9595	−	23.4608i	−1.00047	−	0.839493i
$782$	11.9777	−	4.35951i	0.428320	−	0.155896i
$783$	−0.413467	−	2.34489i	−0.0147761	−	0.0837995i
$784$	4.98484	−	28.2704i	0.178030	−	1.00966i
$785$	−10.8534	−	3.95030i	−0.387373	−	0.140992i
$786$	−2.37978	−	4.12190i	−0.0848840	−	0.147023i
$787$	−2.42508	+	4.20037i	−0.0864449	+	0.149727i	−0.906006	−	0.423265i	$-0.860884\pi$
$787$	−2.42508	+	4.20037i	−0.0864449	+	0.149727i	0.819561	+	0.572992i	$0.194217\pi$
$788$	−26.8183	+	22.5032i	−0.955361	+	0.801643i
$789$	4.34255	−	3.64383i	0.154599	−	0.129724i
$790$	−5.96938	+	10.3393i	−0.212381	+	0.367854i
$791$	−8.90405	−	15.4223i	−0.316592	−	0.548353i
$792$	11.7185	+	4.26518i	0.416398	+	0.151556i
$793$	6.33622	−	35.9345i	0.225006	−	1.27607i
$794$	5.35152	+	30.3500i	0.189918	+	1.07708i
$795$	−0.565745	+	0.205914i	−0.0200649	+	0.00730303i
$796$	−4.56051	−	3.82673i	−0.161643	−	0.135635i
$797$	42.7169			1.51311			0.756555	−	0.653930i	$-0.226881\pi$
$797$	42.7169			1.51311			0.756555	+	0.653930i	$0.226881\pi$
$798$	−1.46286	+	0.356833i	−0.0517847	+	0.0126318i
$799$	25.1840			0.890947
$800$	−4.88871	−	4.10211i	−0.172842	−	0.145032i
$801$	2.20333	−	0.801948i	0.0778510	−	0.0283354i
$802$	2.08847	+	11.8443i	0.0737463	+	0.418236i
$803$	1.50060	−	8.51035i	0.0529552	−	0.300324i
$804$	−2.78557	−	1.01387i	−0.0982396	−	0.0357563i
$805$	0.941310	+	1.63040i	0.0331768	+	0.0574639i
$806$	19.4432	−	33.6766i	0.684858	−	1.18621i
$807$	0.513802	−	0.431131i	0.0180867	−	0.0151765i
$808$	−18.3904	+	15.4314i	−0.646971	+	0.542873i
$809$	−7.67860	+	13.2997i	−0.269965	+	0.467593i	−0.968853	−	0.247638i	$-0.920346\pi$
$809$	−7.67860	+	13.2997i	−0.269965	+	0.467593i	0.698887	+	0.715232i	$0.253679\pi$
$810$	7.92103	+	13.7196i	0.278317	+	0.482059i
$811$	26.8518	+	9.77325i	0.942894	+	0.343185i	0.767308	−	0.641279i	$-0.221596\pi$
$811$	26.8518	+	9.77325i	0.942894	+	0.343185i	0.175586	+	0.984464i	$0.443818\pi$
$812$	0.546504	−	3.09938i	0.0191785	−	0.108767i
$813$	0.514766	+	2.91938i	0.0180536	+	0.102387i
$814$	−31.9222	+	11.6187i	−1.11887	+	0.407237i
$815$	−14.1192	−	11.8474i	−0.494575	−	0.414998i
$816$	3.47758			0.121740
$817$	−36.8799	−	4.06614i	−1.29027	−	0.142256i
$818$	64.9843			2.27212
$819$	−6.48773	−	5.44385i	−0.226699	−	0.190223i
$820$	−1.09609	+	0.398944i	−0.0382771	+	0.0139317i
$821$	−0.156048	−	0.884994i	−0.00544612	−	0.0308865i	0.981964	−	0.189070i	$-0.0605473\pi$
$821$	−0.156048	−	0.884994i	−0.00544612	−	0.0308865i	−0.987410	+	0.158184i	$0.949436\pi$
$822$	0.200963	−	1.13972i	0.00700937	−	0.0397521i
$823$	34.4963	+	12.5556i	1.20246	+	0.437661i	0.864084	−	0.503348i	$-0.167899\pi$
$823$	34.4963	+	12.5556i	1.20246	+	0.437661i	0.338381	+	0.941009i	$0.390121\pi$
$824$	−7.38833	−	12.7970i	−0.257385	−	0.445803i
$825$	0.293121	−	0.507700i	0.0102052	−	0.0176759i
$826$	−2.22149	+	1.86405i	−0.0772954	+	0.0648585i
$827$	−32.4484	+	27.2274i	−1.12834	+	0.946791i	−0.998996	−	0.0448083i	$-0.985732\pi$
$827$	−32.4484	+	27.2274i	−1.12834	+	0.946791i	−0.129346	+	0.991599i	$0.541288\pi$
$828$	3.38822	−	5.86856i	0.117749	−	0.203947i
$829$	−12.1944	−	21.1213i	−0.423530	−	0.733575i	0.572752	−	0.819729i	$-0.305876\pi$
$829$	−12.1944	−	21.1213i	−0.423530	−	0.733575i	−0.996282	+	0.0861537i	$0.972542\pi$
$830$	4.60819	+	1.67724i	0.159953	+	0.0582180i
$831$	0.356414	−	2.02132i	0.0123639	−	0.0701189i
$832$	−0.820391	−	4.65267i	−0.0284420	−	0.161302i
$833$	−21.9796	+	7.99991i	−0.761547	+	0.277180i
$834$	−1.44327	−	1.21104i	−0.0499762	−	0.0419350i
$835$	−1.94262			−0.0672271
$836$	−5.26827	+	18.0258i	−0.182207	+	0.623437i
$837$	8.51230			0.294228
$838$	−41.2957	−	34.6512i	−1.42654	−	1.19701i
$839$	22.0649	−	8.03097i	0.761765	−	0.277260i	0.0682173	−	0.997670i	$-0.478269\pi$
$839$	22.0649	−	8.03097i	0.761765	−	0.277260i	0.693548	+	0.720411i	$0.256047\pi$
$840$	0.0418955	+	0.237601i	0.00144553	+	0.00819801i
$841$	−4.15474	+	23.5627i	−0.143267	+	0.812507i
$842$	−21.0810	−	7.67286i	−0.726500	−	0.264424i
$843$	0.225901	+	0.391273i	0.00778045	+	0.0134761i
$844$	10.1280	−	17.5421i	0.348619	−	0.603826i
$845$	4.54800	−	3.81623i	0.156456	−	0.131282i
$846$	26.0164	−	21.8303i	0.894461	−	0.750542i
$847$	0.0230243	−	0.0398792i	0.000791124	−	0.00137027i
$848$	−8.34399	−	14.4522i	−0.286534	−	0.496291i
$849$	0.0863560	+	0.0314310i	0.00296373	+	0.00107871i
$850$	−1.26206	+	7.15751i	−0.0432884	+	0.245501i
$851$	−1.72006	−	9.75497i	−0.0589630	−	0.334396i
$852$	−2.38842	+	0.869315i	−0.0818260	+	0.0297822i
$853$	4.47350	+	3.75372i	0.153170	+	0.128525i	0.716152	−	0.697944i	$-0.245902\pi$
$853$	4.47350	+	3.75372i	0.153170	+	0.128525i	−0.562982	+	0.826469i	$0.690346\pi$
$854$	26.7801			0.916397
$855$	10.7644	−	7.18124i	0.368135	−	0.245593i
$856$	−14.4619			−0.494299
$857$	−20.6838	−	17.3558i	−0.706546	−	0.592862i	0.217082	−	0.976153i	$-0.430346\pi$
$857$	−20.6838	−	17.3558i	−0.706546	−	0.592862i	−0.923628	+	0.383291i	$0.874791\pi$
$858$	2.66022	−	0.968242i	0.0908185	−	0.0330552i
$859$	−0.553337	−	3.13813i	−0.0188796	−	0.107072i	0.973912	−	0.226927i	$-0.0728680\pi$
$859$	−0.553337	−	3.13813i	−0.0188796	−	0.107072i	−0.992791	+	0.119856i	$0.961757\pi$
$860$	1.92387	−	10.9108i	0.0656035	−	0.372056i
$861$	0.160101	+	0.0582719i	0.00545622	+	0.00198590i
$862$	15.5052	+	26.8558i	0.528109	+	0.914712i
$863$	−4.21087	+	7.29344i	−0.143340	+	0.248272i	−0.928752	−	0.370701i	$-0.879117\pi$
$863$	−4.21087	+	7.29344i	−0.143340	+	0.248272i	0.785413	+	0.618973i	$0.212451\pi$
$864$	5.16771	−	4.33622i	0.175809	−	0.147521i
$865$	9.23195	−	7.74653i	0.313896	−	0.263390i
$866$	2.54399	−	4.40632i	0.0864483	−	0.149733i
$867$	0.0886182	+	0.153491i	0.00300963	+	0.00521283i
$868$	10.5727	+	3.84814i	0.358860	+	0.130614i
$869$	3.77673	−	21.4189i	0.128117	−	0.726587i
$870$	−0.125871	−	0.713852i	−0.00426744	−	0.0242018i
$871$	−32.1152	+	11.6890i	−1.08818	+	0.396066i
$872$	12.3828	+	10.3904i	0.419334	+	0.351863i
$873$	55.5667			1.88065
$874$	−12.4534	−	6.15259i	−0.421243	−	0.208115i
$875$	−1.07346			−0.0362897
$876$	−0.460999	−	0.386824i	−0.0155757	−	0.0130696i
$877$	39.2887	−	14.2999i	1.32669	−	0.482874i	0.421091	−	0.907018i	$-0.361647\pi$
$877$	39.2887	−	14.2999i	1.32669	−	0.482874i	0.905595	+	0.424144i	$0.139425\pi$
$878$	6.69384	+	37.9627i	0.225906	+	1.28118i
$879$	0.0356874	−	0.202393i	0.00120371	−	0.00682656i
$880$	15.2697	+	5.55773i	0.514743	+	0.187351i
$881$	13.9233	+	24.1158i	0.469087	+	0.812482i	0.999376	−	0.0353351i	$-0.0112498\pi$
$881$	13.9233	+	24.1158i	0.469087	+	0.812482i	−0.530289	+	0.847817i	$0.677917\pi$
$882$	−15.7714	+	27.3169i	−0.531051	+	0.919807i
$883$	21.5180	−	18.0558i	0.724139	−	0.607625i	−0.204388	−	0.978890i	$-0.565520\pi$
$883$	21.5180	−	18.0558i	0.724139	−	0.607625i	0.928527	+	0.371265i	$0.121076\pi$
$884$	−10.5991	+	8.89367i	−0.356485	+	0.299127i
$885$	−0.131656	+	0.228035i	−0.00442557	+	0.00766531i
$886$	−20.6950	−	35.8447i	−0.695261	−	1.20423i
$887$	−0.105586	−	0.0384300i	−0.00354522	−	0.00129035i	0.340247	−	0.940336i	$-0.389489\pi$
$887$	−0.105586	−	0.0384300i	−0.00354522	−	0.00129035i	−0.343792	+	0.939046i	$0.611712\pi$
$888$	0.220434	−	1.25014i	0.00739728	−	0.0419521i
$889$	−1.81249	−	10.2791i	−0.0607888	−	0.344751i
$890$	1.34860	−	0.490852i	0.0452053	−	0.0164534i
$891$	−22.1082	−	18.5510i	−0.740652	−	0.621481i
$892$	−26.1986			−0.877195
$893$	−18.9637	−	19.8386i	−0.634595	−	0.663872i
$894$	3.23948			0.108344
$895$	14.0266	+	11.7697i	0.468856	+	0.393417i
$896$	−9.61658	+	3.50015i	−0.321268	+	0.116932i
$897$	0.143341	+	0.812926i	0.00478601	+	0.0271428i
$898$	−9.39304	+	53.2706i	−0.313450	+	1.77766i
$899$	17.0449	+	6.20385i	0.568481	+	0.206910i
$900$	1.93195	+	3.34623i	0.0643983	+	0.111541i
$901$	−6.79870	+	11.7757i	−0.226497	+	0.392305i
$902$	4.12908	−	3.46471i	0.137483	−	0.115362i
$903$	−1.23967	+	1.04021i	−0.0412537	+	0.0346160i
$904$	10.5264	−	18.2323i	0.350104	−	0.606398i
$905$	−12.8257	−	22.2148i	−0.426341	−	0.738444i
$906$	0.643053	+	0.234052i	0.0213640	+	0.00777586i
$907$	6.26402	−	35.5251i	0.207994	−	1.17959i	−0.684666	−	0.728857i	$-0.740052\pi$
$907$	6.26402	−	35.5251i	0.207994	−	1.17959i	0.892659	−	0.450733i	$-0.148837\pi$
$908$	3.13439	+	17.7760i	0.104019	+	0.589918i
$909$	52.7714	−	19.2072i	1.75032	−	0.637063i
$910$	−3.97097	−	3.33204i	−0.131636	−	0.110456i
$911$	−51.0528			−1.69145			−0.845727	−	0.533615i	$-0.820833\pi$
$911$	−51.0528			−1.69145			−0.845727	+	0.533615i	$0.820833\pi$
$912$	−2.61863	−	2.73944i	−0.0867115	−	0.0907119i
$913$	−8.93370			−0.295662
$914$	−51.1761	−	42.9419i	−1.69276	−	1.42039i
$915$	2.28497	−	0.831660i	0.0755387	−	0.0274938i
$916$	1.96713	+	11.1562i	0.0649960	+	0.368610i
$917$	2.75699	−	15.6356i	0.0910437	−	0.516335i
$918$	−7.21939	−	2.62764i	−0.238275	−	0.0867251i
$919$	−20.6112	−	35.6996i	−0.679900	−	1.17762i	−0.975011	−	0.222159i	$-0.928690\pi$
$919$	−20.6112	−	35.6996i	−0.679900	−	1.17762i	0.295110	−	0.955463i	$-0.404644\pi$
$920$	−1.11282	+	1.92747i	−0.0366887	+	0.0635467i
$921$	−2.03115	+	1.70434i	−0.0669287	+	0.0561598i
$922$	−35.8140	+	30.0515i	−1.17947	+	0.989695i
$923$	−14.6518	+	25.3777i	−0.482271	+	0.835318i
$924$	0.409546	+	0.709355i	0.0134731	+	0.0233361i
$925$	5.30743	+	1.93175i	0.174507	+	0.0635155i
$926$	−11.2228	+	63.6475i	−0.368803	+	2.09159i
$927$	6.00237	+	34.0411i	0.197144	+	1.11806i
$928$	13.5081	−	4.91653i	0.443424	−	0.161393i
$929$	9.91750	+	8.32177i	0.325383	+	0.273029i	0.790815	−	0.612055i	$-0.209657\pi$
$929$	9.91750	+	8.32177i	0.325383	+	0.273029i	−0.465433	+	0.885083i	$0.654101\pi$
$930$	2.59139			0.0849749
$931$	22.8526	+	11.2903i	0.748963	+	0.370025i
$932$	20.4616			0.670241
$933$	1.52036	+	1.27573i	0.0497743	+	0.0417656i
$934$	12.1497	−	4.42212i	0.397549	−	0.144696i
$935$	−2.29915	−	13.0391i	−0.0751904	−	0.426426i
$936$	1.73861	−	9.86015i	0.0568283	−	0.322289i
$937$	−29.2049	−	10.6297i	−0.954082	−	0.347258i	−0.182370	−	0.983230i	$-0.558377\pi$
$937$	−29.2049	−	10.6297i	−0.954082	−	0.347258i	−0.771712	+	0.635972i	$0.780599\pi$
$938$	−12.5415	−	21.7225i	−0.409493	−	0.709263i
$939$	−1.20646	+	2.08964i	−0.0393712	+	0.0681929i
$940$	6.27767	−	5.26759i	0.204755	−	0.171810i
$941$	1.29987	−	1.09072i	0.0423745	−	0.0355564i	−0.621354	−	0.783530i	$-0.713417\pi$
$941$	1.29987	−	1.09072i	0.0423745	−	0.0355564i	0.663729	+	0.747973i	$0.268973\pi$
$942$	1.85839	−	3.21883i	0.0605498	−	0.104875i
$943$	0.785845	+	1.36112i	0.0255906	+	0.0443243i
$944$	−6.85844	−	2.49627i	−0.223223	−	0.0812466i
$945$	0.197043	−	1.11749i	0.00640981	−	0.0363519i
$946$	8.89029	+	50.4193i	0.289048	+	1.63927i
$947$	44.2831	−	16.1177i	1.43901	−	0.523756i	0.499509	−	0.866309i	$-0.333514\pi$
$947$	44.2831	−	16.1177i	1.43901	−	0.523756i	0.939499	+	0.342553i	$0.111291\pi$
$948$	−1.16025	−	0.973563i	−0.0376831	−	0.0316198i
$949$	−6.93813			−0.225221
$950$	6.58862	−	4.39545i	0.213763	−	0.142607i
$951$	−1.53815			−0.0498779
$952$	4.17418	+	3.50256i	0.135286	+	0.113518i
$953$	−48.5905	+	17.6855i	−1.57400	+	0.572889i	−0.973888	−	0.227028i	$-0.927099\pi$
$953$	−48.5905	+	17.6855i	−1.57400	+	0.572889i	−0.600111	+	0.799917i	$0.704877\pi$
$954$	3.18415	+	18.0582i	0.103091	+	0.584656i
$955$	−1.60133	+	9.08161i	−0.0518179	+	0.293874i
$956$	16.9208	+	6.15868i	0.547259	+	0.199186i
$957$	0.660258	+	1.14360i	0.0213431	+	0.0369674i
$958$	8.00649	−	13.8676i	0.258678	−	0.448043i
$959$	2.95731	−	2.48147i	0.0954964	−	0.0801310i
$960$	0.241179	−	0.202373i	0.00778401	−	0.00653156i
$961$	−16.9232	+	29.3118i	−0.545909	+	0.945541i
$962$	13.6372	+	23.6203i	0.439680	+	0.761548i
$963$	31.7898	+	11.5706i	1.02441	+	0.372856i
$964$	2.75214	−	15.6082i	0.0886405	−	0.502705i
$965$	−2.08412	−	11.8196i	−0.0670903	−	0.380488i
$966$	−0.569296	+	0.207207i	−0.0183168	+	0.00666677i
$967$	−8.87003	−	7.44284i	−0.285241	−	0.239346i	0.488929	−	0.872324i	$-0.337388\pi$
$967$	−8.87003	−	7.44284i	−0.285241	−	0.239346i	−0.774170	+	0.632978i	$0.781832\pi$
$968$	0.0544390			0.00174973
$969$	−0.866223	+	2.96386i	−0.0278271	+	0.0952128i
$970$	34.0109			1.09202
$971$	−45.4143	−	38.1071i	−1.45742	−	1.22292i	−0.926937	−	0.375218i	$-0.877568\pi$
$971$	−45.4143	−	38.1071i	−1.45742	−	1.22292i	−0.530478	−	0.847698i	$-0.677988\pi$
$972$	−5.76722	+	2.09910i	−0.184984	+	0.0673286i
$973$	−1.09134	−	6.18930i	−0.0349868	−	0.198420i
$974$	−1.50916	+	8.55889i	−0.0483567	+	0.274245i
$975$	−0.442293	−	0.160981i	−0.0141647	−	0.00515553i
$976$	33.7002	+	58.3705i	1.07872	+	1.86839i
$977$	−10.9939	+	19.0420i	−0.351727	+	0.609209i	−0.986552	−	0.163447i	$-0.947739\pi$
$977$	−10.9939	+	19.0420i	−0.351727	+	0.609209i	0.634825	+	0.772656i	$0.281072\pi$
$978$	4.54361	−	3.81254i	0.145288	−	0.121912i
$979$	−2.00281	+	1.68056i	−0.0640101	+	0.0537108i
$980$	−3.80559	+	6.59148i	−0.121565	+	0.210557i
$981$	−18.9065	−	32.7469i	−0.603636	−	1.04553i
$982$	−17.1956	−	6.25869i	−0.548734	−	0.199723i
$983$	3.42195	−	19.4068i	0.109143	−	0.618982i	−0.880341	−	0.474341i	$-0.842686\pi$
$983$	3.42195	−	19.4068i	0.109143	−	0.618982i	0.989484	−	0.144641i	$-0.0462026\pi$
$984$	0.0349761	+	0.198359i	0.00111500	+	0.00632346i
$985$	−25.2751	+	9.19939i	−0.805333	+	0.293117i
$986$	−12.5410	−	10.5231i	−0.399386	−	0.335125i
$987$	−1.19699			−0.0381007
$988$	14.9871	+	1.65237i	0.476802	+	0.0525690i
$989$	−14.9284			−0.474695
$990$	−13.6779	−	11.4771i	−0.434712	−	0.364767i
$991$	43.9295	−	15.9890i	1.39547	−	0.507909i	0.468638	−	0.883390i	$-0.344745\pi$
$991$	43.9295	−	15.9890i	1.39547	−	0.507909i	0.926830	+	0.375482i	$0.122523\pi$
$992$	8.92386	+	50.6097i	0.283333	+	1.60686i
$993$	−0.717792	+	4.07080i	−0.0227785	+	0.129183i
$994$	−20.2097	−	7.35575i	−0.641014	−	0.233310i
$995$	−2.28697	−	3.96115i	−0.0725019	−	0.125577i
$996$	−0.311065	+	0.538781i	−0.00985649	+	0.0170719i
$997$	8.89467	−	7.46351i	0.281697	−	0.236372i	−0.490981	−	0.871170i	$-0.663361\pi$
$997$	8.89467	−	7.46351i	0.281697	−	0.236372i	0.772678	+	0.634799i	$0.218917\pi$
$998$	−2.67545	+	2.24497i	−0.0846898	+	0.0710632i
$999$	−2.98520	+	5.17051i	−0.0944474	+	0.163588i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.k.b.16.3	yes	18
3.2	odd	2		855.2.bs.b.586.1		18
5.2	odd	4		475.2.u.c.149.1		36
5.3	odd	4		475.2.u.c.149.6		36
5.4	even	2		475.2.l.b.301.1		18
19.5	even	9		1805.2.a.t.1.8		9
19.6	even	9	inner	95.2.k.b.6.3	✓	18
19.14	odd	18		1805.2.a.u.1.2		9
57.44	odd	18		855.2.bs.b.766.1		18
95.14	odd	18		9025.2.a.cd.1.8		9
95.24	even	18		9025.2.a.ce.1.2		9
95.44	even	18		475.2.l.b.101.1		18
95.63	odd	36		475.2.u.c.424.1		36
95.82	odd	36		475.2.u.c.424.6		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.k.b.6.3	✓	18	19.6	even	9	inner
95.2.k.b.16.3	yes	18	1.1	even	1	trivial
475.2.l.b.101.1		18	95.44	even	18
475.2.l.b.301.1		18	5.4	even	2
475.2.u.c.149.1		36	5.2	odd	4
475.2.u.c.149.6		36	5.3	odd	4
475.2.u.c.424.1		36	95.63	odd	36
475.2.u.c.424.6		36	95.82	odd	36
855.2.bs.b.586.1		18	3.2	odd	2
855.2.bs.b.766.1		18	57.44	odd	18
1805.2.a.t.1.8		9	19.5	even	9
1805.2.a.u.1.2		9	19.14	odd	18
9025.2.a.cd.1.8		9	95.14	odd	18
9025.2.a.ce.1.2		9	95.24	even	18

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:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.k (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(1.39192 + 1.16796i) q^{2} +(-0.166424 + 0.0605732i) q^{3} +(0.226016 + 1.28180i) q^{4} +(-0.173648 + 0.984808i) q^{5} +(-0.302396 - 0.110063i) q^{6} +(-0.536732 - 0.929646i) q^{7} +(0.634528 - 1.09903i) q^{8} +(-2.27411 + 1.90820i) q^{9} +O(q^{10})\)	\(q+(1.39192 + 1.16796i) q^{2} +(-0.166424 + 0.0605732i) q^{3} +(0.226016 + 1.28180i) q^{4} +(-0.173648 + 0.984808i) q^{5} +(-0.302396 - 0.110063i) q^{6} +(-0.536732 - 0.929646i) q^{7} +(0.634528 - 1.09903i) q^{8} +(-2.27411 + 1.90820i) q^{9} +(-1.39192 + 1.16796i) q^{10} +(1.65508 - 2.86668i) q^{11} +(-0.115257 - 0.199631i) q^{12} +(-2.49736 - 0.908963i) q^{13} +(0.338702 - 1.92087i) q^{14} +(-0.0307538 - 0.174414i) q^{15} +(4.61300 - 1.67899i) q^{16} +(-3.06411 - 2.57109i) q^{17} -5.39408 q^{18} +(0.281925 + 4.34977i) q^{19} -1.30157 q^{20} +(0.145636 + 0.122203i) q^{21} +(5.65190 - 2.05712i) q^{22} +(0.304541 + 1.72714i) q^{23} +(-0.0390283 + 0.221341i) q^{24} +(-0.939693 - 0.342020i) q^{25} +(-2.41449 - 4.18202i) q^{26} +(0.528535 - 0.915450i) q^{27} +(1.07031 - 0.898098i) q^{28} +(1.72552 - 1.44789i) q^{29} +(0.160901 - 0.278689i) q^{30} +(4.02636 + 6.97386i) q^{31} +(5.99689 + 2.18269i) q^{32} +(-0.101800 + 0.577336i) q^{33} +(-1.26206 - 7.15751i) q^{34} +(1.00873 - 0.367146i) q^{35} +(-2.95992 - 2.48367i) q^{36} -5.64805 q^{37} +(-4.68794 + 6.38382i) q^{38} +0.470678 q^{39} +(0.972153 + 0.815733i) q^{40} +(0.842126 - 0.306509i) q^{41} +(0.0599856 + 0.340195i) q^{42} +(-1.47811 + 8.38279i) q^{43} +(4.04858 + 1.47356i) q^{44} +(-1.48432 - 2.57091i) q^{45} +(-1.59333 + 2.75973i) q^{46} +(-4.82313 + 4.04709i) q^{47} +(-0.666010 + 0.558849i) q^{48} +(2.92384 - 5.06424i) q^{49} +(-0.908512 - 1.57359i) q^{50} +(0.665679 + 0.242287i) q^{51} +(0.600667 - 3.40655i) q^{52} +(-0.590304 - 3.34778i) q^{53} +(1.80489 - 0.656926i) q^{54} +(2.53572 + 2.12772i) q^{55} -1.36228 q^{56} +(-0.310399 - 0.706828i) q^{57} +4.09287 q^{58} +(-1.13893 - 0.955673i) q^{59} +(0.216613 - 0.0788406i) q^{60} +(2.38416 + 13.5212i) q^{61} +(-2.54082 + 14.4097i) q^{62} +(2.99454 + 1.08992i) q^{63} +(0.888845 + 1.53952i) q^{64} +(1.32882 - 2.30158i) q^{65} +(-0.816002 + 0.684707i) q^{66} +(9.85110 - 8.26605i) q^{67} +(2.60309 - 4.50868i) q^{68} +(-0.155301 - 0.268989i) q^{69} +(1.83288 + 0.667113i) q^{70} +(1.91469 - 10.8587i) q^{71} +(0.654195 + 3.71013i) q^{72} +(2.45320 - 0.892893i) q^{73} +(-7.86164 - 6.59670i) q^{74} +0.177104 q^{75} +(-5.51182 + 1.34449i) q^{76} -3.55333 q^{77} +(0.655146 + 0.549733i) q^{78} +(6.17425 - 2.24724i) q^{79} +(0.852448 + 4.83447i) q^{80} +(1.51398 - 8.58623i) q^{81} +(1.53016 + 0.556934i) q^{82} +(-1.34944 - 2.33730i) q^{83} +(-0.123724 + 0.214297i) q^{84} +(3.06411 - 2.57109i) q^{85} +(-11.8482 + 9.94180i) q^{86} +(-0.199465 + 0.345483i) q^{87} +(-2.10038 - 3.63797i) q^{88} +(-0.742205 - 0.270140i) q^{89} +(0.936672 - 5.31213i) q^{90} +(0.495396 + 2.80953i) q^{91} +(-2.14502 + 0.780722i) q^{92} +(-1.09251 - 0.916725i) q^{93} -11.4403 q^{94} +(-4.33265 - 0.477688i) q^{95} -1.13024 q^{96} +(-14.3388 - 12.0317i) q^{97} +(9.98458 - 3.63409i) q^{98} +(1.70638 + 9.67734i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 12 q^{8} - 21 q^{9}+O(q^{10}) \) 18 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 12 * q^8 - 21 * q^9	\( 18 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 12 q^{8} - 21 q^{9} - 3 q^{10} + 6 q^{12} - 3 q^{13} + 24 q^{14} + 3 q^{15} + 21 q^{16} - 24 q^{17} - 12 q^{18} - 12 q^{19} - 12 q^{20} + 3 q^{21} + 15 q^{22} + 21 q^{23} + 21 q^{24} - 21 q^{26} + 6 q^{27} - 24 q^{28} - 9 q^{29} - 12 q^{30} + 30 q^{31} + 45 q^{32} - 3 q^{33} + 24 q^{34} - 6 q^{35} - 21 q^{36} - 60 q^{37} - 15 q^{38} + 12 q^{39} - 6 q^{40} - 6 q^{41} + 39 q^{42} - 6 q^{43} - 30 q^{44} + 6 q^{45} + 21 q^{46} + 33 q^{47} - 63 q^{48} - 3 q^{49} + 27 q^{51} + 9 q^{52} + 24 q^{53} + 30 q^{54} - 3 q^{55} - 72 q^{56} - 30 q^{57} + 36 q^{58} + 18 q^{59} + 15 q^{60} + 6 q^{61} + 12 q^{62} + 24 q^{63} - 24 q^{64} + 3 q^{65} - 33 q^{66} - 24 q^{67} - 3 q^{68} + 27 q^{69} + 39 q^{70} + 24 q^{71} + 18 q^{72} + 6 q^{73} - 39 q^{74} - 6 q^{75} + 27 q^{76} + 24 q^{77} + 72 q^{78} + 9 q^{79} + 33 q^{80} + 15 q^{81} - 57 q^{82} - 12 q^{84} + 24 q^{85} - 33 q^{86} - 45 q^{87} + 39 q^{88} - 6 q^{89} - 21 q^{90} - 6 q^{91} - 66 q^{92} - 72 q^{93} - 66 q^{94} - 15 q^{95} - 18 q^{96} - 87 q^{97} + 39 q^{98} + 3 q^{99}+O(q^{100}) \) 18 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 12 * q^8 - 21 * q^9 - 3 * q^10 + 6 * q^12 - 3 * q^13 + 24 * q^14 + 3 * q^15 + 21 * q^16 - 24 * q^17 - 12 * q^18 - 12 * q^19 - 12 * q^20 + 3 * q^21 + 15 * q^22 + 21 * q^23 + 21 * q^24 - 21 * q^26 + 6 * q^27 - 24 * q^28 - 9 * q^29 - 12 * q^30 + 30 * q^31 + 45 * q^32 - 3 * q^33 + 24 * q^34 - 6 * q^35 - 21 * q^36 - 60 * q^37 - 15 * q^38 + 12 * q^39 - 6 * q^40 - 6 * q^41 + 39 * q^42 - 6 * q^43 - 30 * q^44 + 6 * q^45 + 21 * q^46 + 33 * q^47 - 63 * q^48 - 3 * q^49 + 27 * q^51 + 9 * q^52 + 24 * q^53 + 30 * q^54 - 3 * q^55 - 72 * q^56 - 30 * q^57 + 36 * q^58 + 18 * q^59 + 15 * q^60 + 6 * q^61 + 12 * q^62 + 24 * q^63 - 24 * q^64 + 3 * q^65 - 33 * q^66 - 24 * q^67 - 3 * q^68 + 27 * q^69 + 39 * q^70 + 24 * q^71 + 18 * q^72 + 6 * q^73 - 39 * q^74 - 6 * q^75 + 27 * q^76 + 24 * q^77 + 72 * q^78 + 9 * q^79 + 33 * q^80 + 15 * q^81 - 57 * q^82 - 12 * q^84 + 24 * q^85 - 33 * q^86 - 45 * q^87 + 39 * q^88 - 6 * q^89 - 21 * q^90 - 6 * q^91 - 66 * q^92 - 72 * q^93 - 66 * q^94 - 15 * q^95 - 18 * q^96 - 87 * q^97 + 39 * q^98 + 3 * q^99

Introduction

L-functions

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