LMFDB - Embedded newform 216.2.v.b.11.6

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [216,2,Mod(11,216)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(216, base_ring=CyclotomicField(18)) chi = DirichletCharacter(H, H._module([9, 9, 13])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("216.11"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 216 = 2^{3} \cdot 3^{3} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	216.v (of order $18$, degree $6$, minimal)

Newform invariants

comment:select newform

sage:traces = [192] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$1.72476868366$
Analytic rank:	$0$
Dimension:	$192$
Relative dimension:	$32$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			11.6
Character	$\chi$	$=$	216.11
Dual form			216.2.v.b.59.6

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.26354 - 0.635192i) q^{2} +(0.0447181 + 1.73147i) q^{3} +(1.19306 + 1.60518i) q^{4} +(4.00434 + 1.45746i) q^{5} +(1.04331 - 2.21619i) q^{6} +(-1.46723 - 0.258712i) q^{7} +(-0.487886 - 2.78603i) q^{8} +(-2.99600 + 0.154856i) q^{9} +(-4.13387 - 4.38508i) q^{10} +(1.57835 + 4.33649i) q^{11} +(-2.72597 + 2.13754i) q^{12} +(-2.82693 - 3.36900i) q^{13} +(1.68957 + 1.25886i) q^{14} +(-2.34449 + 6.99858i) q^{15} +(-1.15320 + 3.83016i) q^{16} +(2.43381 - 1.40516i) q^{17} +(3.88393 + 1.70737i) q^{18} +(0.516826 - 0.895168i) q^{19} +(2.43794 + 8.16652i) q^{20} +(0.382341 - 2.55204i) q^{21} +(0.760191 - 6.48188i) q^{22} +(0.345539 + 1.95965i) q^{23} +(4.80212 - 0.969347i) q^{24} +(10.0803 + 8.45837i) q^{25} +(1.43197 + 6.05250i) q^{26} +(-0.402105 - 5.18057i) q^{27} +(-1.33522 - 2.66383i) q^{28} +(-0.783266 - 0.657238i) q^{29} +(7.40779 - 7.35378i) q^{30} +(-6.04883 + 1.06657i) q^{31} +(3.89000 - 4.10705i) q^{32} +(-7.43793 + 2.92679i) q^{33} +(-3.96777 + 0.229540i) q^{34} +(-5.49822 - 3.17440i) q^{35} +(-3.82299 - 4.62436i) q^{36} +(5.15589 - 2.97676i) q^{37} +(-1.22163 + 0.802797i) q^{38} +(5.70692 - 5.04540i) q^{39} +(2.10687 - 11.8673i) q^{40} +(2.77589 + 3.30817i) q^{41} +(-2.10414 + 2.98174i) q^{42} +(-2.28164 + 0.830449i) q^{43} +(-5.07777 + 7.70724i) q^{44} +(-12.2227 - 3.74645i) q^{45} +(0.808150 - 2.69557i) q^{46} +(0.806279 - 4.57264i) q^{47} +(-6.68339 - 1.82546i) q^{48} +(-4.49202 - 1.63496i) q^{49} +(-7.36416 - 17.0904i) q^{50} +(2.54184 + 4.15125i) q^{51} +(2.03515 - 8.55715i) q^{52} +3.14544 q^{53} +(-2.78258 + 6.80127i) q^{54} +19.6651i q^{55} +(-0.00493996 + 4.21397i) q^{56} +(1.57307 + 0.854840i) q^{57} +(0.572215 + 1.32797i) q^{58} +(2.77458 - 7.62310i) q^{59} +(-14.0311 + 4.58642i) q^{60} +(-2.25575 - 0.397750i) q^{61} +(8.32042 + 2.49451i) q^{62} +(4.43588 + 0.547892i) q^{63} +(-7.52394 + 2.71853i) q^{64} +(-6.40978 - 17.6107i) q^{65} +(11.2572 + 1.02639i) q^{66} +(7.24112 - 6.07602i) q^{67} +(5.15923 + 2.23026i) q^{68} +(-3.37763 + 0.685923i) q^{69} +(4.93086 + 7.50340i) q^{70} +(-2.21770 - 3.84117i) q^{71} +(1.89314 + 8.27140i) q^{72} +(6.12067 - 10.6013i) q^{73} +(-8.40549 + 0.486268i) q^{74} +(-14.1947 + 17.8320i) q^{75} +(2.05351 - 0.238394i) q^{76} +(-1.19390 - 6.77096i) q^{77} +(-10.4157 + 2.75008i) q^{78} +(2.19872 - 2.62033i) q^{79} +(-10.2001 + 13.6565i) q^{80} +(8.95204 - 0.927899i) q^{81} +(-1.40612 - 5.94322i) q^{82} +(3.23224 - 3.85203i) q^{83} +(4.55264 - 2.43102i) q^{84} +(11.7938 - 2.07956i) q^{85} +(3.41044 + 0.399974i) q^{86} +(1.10296 - 1.38559i) q^{87} +(11.3115 - 6.51305i) q^{88} +(-3.14150 - 1.81374i) q^{89} +(13.0641 + 12.4975i) q^{90} +(3.27615 + 5.67445i) q^{91} +(-2.73334 + 2.89263i) q^{92} +(-2.11723 - 10.4257i) q^{93} +(-3.92327 + 5.26556i) q^{94} +(3.37421 - 2.83130i) q^{95} +(7.28521 + 6.55177i) q^{96} +(-5.20281 + 1.89367i) q^{97} +(4.63733 + 4.91913i) q^{98} +(-5.40028 - 12.7477i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 192 q - 6 q^{2} - 12 q^{3} - 6 q^{4} - 6 q^{6} - 9 q^{8} - 12 q^{9} - 3 q^{10} - 30 q^{11} - 3 q^{12} + 9 q^{14} - 6 q^{16} - 18 q^{17} + 63 q^{18} - 6 q^{19} - 27 q^{20} - 18 q^{22} - 30 q^{24} - 12 q^{25}+ \cdots - 12 q^{99}+O(q^{100}) $ 192 * q - 6 * q^2 - 12 * q^3 - 6 * q^4 - 6 * q^6 - 9 * q^8 - 12 * q^9 - 3 * q^10 - 30 * q^11 - 3 * q^12 + 9 * q^14 - 6 * q^16 - 18 * q^17 + 63 * q^18 - 6 * q^19 - 27 * q^20 - 18 * q^22 - 30 * q^24 - 12 * q^25 + 18 * q^27 - 12 * q^28 - 21 * q^30 - 36 * q^32 - 30 * q^33 + 12 * q^34 - 18 * q^35 - 36 * q^36 - 102 * q^38 + 9 * q^40 + 18 * q^41 - 6 * q^42 - 42 * q^43 - 81 * q^44 - 3 * q^46 - 81 * q^48 - 12 * q^49 + 57 * q^50 - 18 * q^51 + 21 * q^52 + 78 * q^54 - 69 * q^56 - 36 * q^57 - 33 * q^58 - 84 * q^59 - 54 * q^60 + 90 * q^62 - 51 * q^64 - 12 * q^65 + 87 * q^66 + 30 * q^67 + 63 * q^68 - 33 * q^70 + 12 * q^72 - 6 * q^73 + 51 * q^74 - 96 * q^75 + 30 * q^76 + 90 * q^78 - 12 * q^81 - 12 * q^82 - 72 * q^83 - 48 * q^84 + 42 * q^86 - 78 * q^88 + 144 * q^89 + 120 * q^90 - 6 * q^91 - 3 * q^92 - 33 * q^94 - 78 * q^96 - 42 * q^97 + 162 * q^98 - 12 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/216\mathbb{Z}\right)^\times$.

$n$	$55$	$109$	$137$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{18}\right)$

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 $

$2$	−1.26354	−	0.635192i	−0.893457	−	0.449148i
$2$	−1.26354	−	0.635192i	−0.893457	−	0.449148i
$3$	0.0447181	+	1.73147i	0.0258180	+	0.999667i
$3$	0.0447181	+	1.73147i	0.0258180	+	0.999667i
$4$	1.19306	+	1.60518i	0.596532	+	0.802590i
$5$	4.00434	+	1.45746i	1.79079	+	0.651796i	0.999168	+	0.0407891i	$0.0129872\pi$
$5$	4.00434	+	1.45746i	1.79079	+	0.651796i	0.791626	+	0.611006i	$0.209235\pi$
$6$	1.04331	−	2.21619i	0.425931	−	0.904755i
$7$	−1.46723	−	0.258712i	−0.554561	−	0.0977840i	−0.110657	−	0.993859i	$-0.535296\pi$
$7$	−1.46723	−	0.258712i	−0.554561	−	0.0977840i	−0.443903	+	0.896075i	$0.646407\pi$
$8$	−0.487886	−	2.78603i	−0.172494	−	0.985011i
$9$	−2.99600	+	0.154856i	−0.998667	+	0.0516188i
$10$	−4.13387	−	4.38508i	−1.30724	−	1.38668i
$11$	1.57835	+	4.33649i	0.475891	+	1.30750i	0.912952	+	0.408068i	$0.133797\pi$
$11$	1.57835	+	4.33649i	0.475891	+	1.30750i	−0.437060	+	0.899432i	$0.643980\pi$
$12$	−2.72597	+	2.13754i	−0.786921	+	0.617054i
$13$	−2.82693	−	3.36900i	−0.784048	−	0.934392i	0.215061	−	0.976601i	$-0.431005\pi$
$13$	−2.82693	−	3.36900i	−0.784048	−	0.934392i	−0.999109	+	0.0422087i	$0.986561\pi$
$14$	1.68957	+	1.25886i	0.451557	+	0.336446i
$15$	−2.34449	+	6.99858i	−0.605344	+	1.80702i
$16$	−1.15320	+	3.83016i	−0.288300	+	0.957540i
$17$	2.43381	−	1.40516i	0.590286	−	0.340802i	−0.174924	−	0.984582i	$-0.555968\pi$
$17$	2.43381	−	1.40516i	0.590286	−	0.340802i	0.765211	+	0.643780i	$0.222635\pi$
$18$	3.88393	+	1.70737i	0.915451	+	0.402430i
$19$	0.516826	−	0.895168i	0.118568	−	0.205366i	−0.800632	−	0.599156i	$-0.795503\pi$
$19$	0.516826	−	0.895168i	0.118568	−	0.205366i	0.919200	+	0.393790i	$0.128836\pi$
$20$	2.43794	+	8.16652i	0.545140	+	1.82609i
$21$	0.382341	−	2.55204i	0.0834337	−	0.556900i
$22$	0.760191	−	6.48188i	0.162073	−	1.38194i
$23$	0.345539	+	1.95965i	0.0720498	+	0.408615i	0.999407	+	0.0344371i	$0.0109638\pi$
$23$	0.345539	+	1.95965i	0.0720498	+	0.408615i	−0.927357	+	0.374178i	$0.877925\pi$
$24$	4.80212	−	0.969347i	0.980229	−	0.197867i
$25$	10.0803	+	8.45837i	2.01606	+	1.69167i
$26$	1.43197	+	6.05250i	0.280833	+	1.18699i
$27$	−0.402105	−	5.18057i	−0.0773851	−	0.997001i
$28$	−1.33522	−	2.66383i	−0.252332	−	0.503416i
$29$	−0.783266	−	0.657238i	−0.145449	−	0.122046i	0.567160	−	0.823608i	$-0.308042\pi$
$29$	−0.783266	−	0.657238i	−0.145449	−	0.122046i	−0.712609	+	0.701562i	$0.752487\pi$
$30$	7.40779	−	7.35378i	1.35247	−	1.34261i
$31$	−6.04883	+	1.06657i	−1.08640	+	0.191562i	−0.688045	−	0.725668i	$-0.741531\pi$
$31$	−6.04883	+	1.06657i	−1.08640	+	0.191562i	−0.398358	+	0.917230i	$0.630420\pi$
$32$	3.89000	−	4.10705i	0.687661	−	0.726031i
$33$	−7.43793	+	2.92679i	−1.29478	+	0.509490i
$34$	−3.96777	+	0.229540i	−0.680466	+	0.0393659i
$35$	−5.49822	−	3.17440i	−0.929368	−	0.536571i
$36$	−3.82299	−	4.62436i	−0.637165	−	0.770727i
$37$	5.15589	−	2.97676i	0.847624	−	0.489376i	−0.0122246	−	0.999925i	$-0.503891\pi$
$37$	5.15589	−	2.97676i	0.847624	−	0.489376i	0.859848	+	0.510549i	$0.170558\pi$
$38$	−1.22163	+	0.802797i	−0.198175	+	0.130231i
$39$	5.70692	−	5.04540i	0.913838	−	0.807911i
$40$	2.10687	−	11.8673i	0.333125	−	1.87638i
$41$	2.77589	+	3.30817i	0.433520	+	0.516650i	0.937935	−	0.346812i	$-0.112736\pi$
$41$	2.77589	+	3.30817i	0.433520	+	0.516650i	−0.504414	+	0.863462i	$0.668291\pi$
$42$	−2.10414	+	2.98174i	−0.324675	+	0.460092i
$43$	−2.28164	+	0.830449i	−0.347947	+	0.126642i	−0.510081	−	0.860126i	$-0.670385\pi$
$43$	−2.28164	+	0.830449i	−0.347947	+	0.126642i	0.162134	+	0.986769i	$0.448162\pi$
$44$	−5.07777	+	7.70724i	−0.765502	+	1.16191i
$45$	−12.2227	−	3.74645i	−1.82205	−	0.558488i
$46$	0.808150	−	2.69557i	0.119155	−	0.397441i
$47$	0.806279	−	4.57264i	0.117608	−	0.666987i	−0.867818	−	0.496882i	$-0.834478\pi$
$47$	0.806279	−	4.57264i	0.117608	−	0.666987i	0.985426	−	0.170105i	$-0.0544108\pi$
$48$	−6.68339	−	1.82546i	−0.964664	−	0.263482i
$49$	−4.49202	−	1.63496i	−0.641717	−	0.233566i
$50$	−7.36416	−	17.0904i	−1.04145	−	2.41695i
$51$	2.54184	+	4.15125i	0.355928	+	0.581291i
$52$	2.03515	−	8.55715i	0.282224	−	1.18666i
$53$	3.14544			0.432059			0.216030	−	0.976387i	$-0.430689\pi$
$53$	3.14544			0.432059			0.216030	+	0.976387i	$0.430689\pi$
$54$	−2.78258	+	6.80127i	−0.378661	+	0.925535i
$55$			19.6651i			2.65165i
$56$	−0.00493996	+	4.21397i	−0.000660129	+	0.563115i
$57$	1.57307	+	0.854840i	0.208358	+	0.113226i
$58$	0.572215	+	1.32797i	0.0751355	+	0.174371i
$59$	2.77458	−	7.62310i	0.361220	−	0.992443i	−0.617379	−	0.786666i	$-0.711805\pi$
$59$	2.77458	−	7.62310i	0.361220	−	0.992443i	0.978599	−	0.205777i	$-0.0659723\pi$
$60$	−14.0311	+	4.58642i	−1.81141	+	0.592105i
$61$	−2.25575	−	0.397750i	−0.288820	−	0.0509267i	0.0273613	−	0.999626i	$-0.491290\pi$
$61$	−2.25575	−	0.397750i	−0.288820	−	0.0509267i	−0.316181	+	0.948699i	$0.602401\pi$
$62$	8.32042	+	2.49451i	1.05669	+	0.316803i
$63$	4.43588	+	0.547892i	0.558869	+	0.0690279i
$64$	−7.52394	+	2.71853i	−0.940492	+	0.339816i
$65$	−6.40978	−	17.6107i	−0.795035	−	2.18434i
$66$	11.2572	+	1.02639i	1.38566	+	0.126340i
$67$	7.24112	−	6.07602i	0.884643	−	0.742304i	−0.0824851	−	0.996592i	$-0.526286\pi$
$67$	7.24112	−	6.07602i	0.884643	−	0.742304i	0.967128	+	0.254288i	$0.0818413\pi$
$68$	5.15923	+	2.23026i	0.625649	+	0.270459i
$69$	−3.37763	+	0.685923i	−0.406618	+	0.0825754i
$70$	4.93086	+	7.50340i	0.589351	+	0.896827i
$71$	−2.21770	−	3.84117i	−0.263193	−	0.455863i	0.703896	−	0.710303i	$-0.251442\pi$
$71$	−2.21770	−	3.84117i	−0.263193	−	0.455863i	−0.967089	+	0.254440i	$0.918109\pi$
$72$	1.89314	+	8.27140i	0.223109	+	0.974794i
$73$	6.12067	−	10.6013i	0.716370	−	1.24079i	−0.246059	−	0.969255i	$-0.579136\pi$
$73$	6.12067	−	10.6013i	0.716370	−	1.24079i	0.962429	−	0.271534i	$-0.0875309\pi$
$74$	−8.40549	+	0.486268i	−0.977118	+	0.0565275i
$75$	−14.1947	+	17.8320i	−1.63906	+	2.05906i
$76$	2.05351	−	0.238394i	0.235554	−	0.0273457i
$77$	−1.19390	−	6.77096i	−0.136058	−	0.771622i
$78$	−10.4157	+	2.75008i	−1.17935	+	0.311385i
$79$	2.19872	−	2.62033i	0.247375	−	0.294811i	−0.628041	−	0.778180i	$-0.716143\pi$
$79$	2.19872	−	2.62033i	0.247375	−	0.294811i	0.875416	+	0.483370i	$0.160587\pi$
$80$	−10.2001	+	13.6565i	−1.14041	+	1.52684i
$81$	8.95204	−	0.927899i	0.994671	−	0.103100i
$82$	−1.40612	−	5.94322i	−0.155280	−	0.656319i
$83$	3.23224	−	3.85203i	0.354784	−	0.422816i	−0.558903	−	0.829233i	$-0.688778\pi$
$83$	3.23224	−	3.85203i	0.354784	−	0.422816i	0.913688	+	0.406417i	$0.133222\pi$
$84$	4.55264	−	2.43102i	0.496733	−	0.265245i
$85$	11.7938	−	2.07956i	1.27921	−	0.225560i
$86$	3.41044	+	0.399974i	0.367757	+	0.0431303i
$87$	1.10296	−	1.38559i	0.118250	−	0.148551i
$88$	11.3115	−	6.51305i	1.20581	−	0.694293i
$89$	−3.14150	−	1.81374i	−0.332998	−	0.192257i	0.324173	−	0.945998i	$-0.394914\pi$
$89$	−3.14150	−	1.81374i	−0.332998	−	0.192257i	−0.657171	+	0.753741i	$0.728247\pi$
$90$	13.0641	+	12.4975i	1.37708	+	1.31736i
$91$	3.27615	+	5.67445i	0.343433	+	0.594844i
$92$	−2.73334	+	2.89263i	−0.284970	+	0.301578i
$93$	−2.11723	−	10.4257i	−0.219547	−	1.08109i
$94$	−3.92327	+	5.26556i	−0.404654	+	0.543101i
$95$	3.37421	−	2.83130i	0.346187	−	0.290485i
$96$	7.28521	+	6.55177i	0.743543	+	0.668688i
$97$	−5.20281	+	1.89367i	−0.528265	+	0.192273i	−0.592364	−	0.805671i	$-0.701805\pi$
$97$	−5.20281	+	1.89367i	−0.528265	+	0.192273i	0.0640983	+	0.997944i	$0.479583\pi$
$98$	4.63733	+	4.91913i	0.468441	+	0.496907i
$99$	−5.40028	−	12.7477i	−0.542748	−	1.28119i
$100$	−1.55078	+	26.2721i	−0.155078	+	2.62721i
$101$	−1.04151	+	5.90670i	−0.103634	+	0.587738i	0.888123	+	0.459606i	$0.152009\pi$
$101$	−1.04151	+	5.90670i	−0.103634	+	0.587738i	−0.991757	+	0.128132i	$0.959102\pi$
$102$	−0.574874	−	6.85982i	−0.0569210	−	0.679223i
$103$	−0.518867	+	1.42558i	−0.0511255	+	0.140466i	−0.962627	−	0.270830i	$-0.912702\pi$
$103$	−0.518867	+	1.42558i	−0.0511255	+	0.140466i	0.911502	+	0.411297i	$0.134924\pi$
$104$	−8.00692	+	9.51959i	−0.785143	+	0.933472i
$105$	5.25051	−	9.66197i	0.512398	−	0.942912i
$106$	−3.97439	−	1.99796i	−0.386027	−	0.194059i
$107$		−	3.84196i		−	0.371416i	−0.982605	−	0.185708i	$-0.940542\pi$
$107$		−	3.84196i		−	0.371416i	0.982605	−	0.185708i	$-0.0594579\pi$
$108$	7.83601	−	6.82620i	0.754020	−	0.656851i
$109$			0.0790719i			0.00757371i	0.999993	+	0.00378686i	$0.00120540\pi$
$109$			0.0790719i			0.00757371i	−0.999993	+	0.00378686i	$0.998795\pi$
$110$	12.4911	−	24.8477i	1.19098	−	2.36913i
$111$	5.38474	+	8.79418i	0.511097	+	0.834707i
$112$	2.68292	−	5.32138i	0.253512	−	0.502823i
$113$	−4.70897	+	12.9378i	−0.442983	+	1.21708i	0.494538	+	0.869156i	$0.335337\pi$
$113$	−4.70897	+	12.9378i	−0.442983	+	1.21708i	−0.937521	+	0.347929i	$0.886885\pi$
$114$	−1.44465	−	2.07933i	−0.135304	−	0.194747i
$115$	−1.47245	+	8.35070i	−0.137307	+	0.778706i
$116$	0.120499	−	2.04141i	0.0111881	−	0.189540i
$117$	8.99118	+	9.65575i	0.831235	+	0.892675i
$118$	−8.34792	+	7.86970i	−0.768489	+	0.724464i
$119$	−3.93449	+	1.43204i	−0.360675	+	0.131275i
$120$	20.6421	+	3.11730i	1.88436	+	0.284570i
$121$	−7.88744	+	6.61835i	−0.717040	+	0.601668i
$122$	2.59758	+	1.93541i	0.235174	+	0.175224i
$123$	−5.60388	+	4.95431i	−0.505285	+	0.446715i
$124$	−8.92868	−	8.43697i	−0.801819	−	0.757663i
$125$	17.3838	+	30.1097i	1.55486	+	2.69309i
$126$	−5.25690	−	3.50992i	−0.468321	−	0.312688i
$127$	−8.10161	−	4.67747i	−0.718901	−	0.415058i	0.0954468	−	0.995435i	$-0.469572\pi$
$127$	−8.10161	−	4.67747i	−0.718901	−	0.415058i	−0.814348	+	0.580377i	$0.802905\pi$
$128$	11.2336	+	1.34417i	0.992917	+	0.118809i
$129$	−1.53993	−	3.91346i	−0.135583	−	0.344561i
$130$	−3.08718	+	26.3233i	−0.270763	+	2.30870i
$131$	18.8914	−	3.33107i	1.65055	−	0.291037i	0.730522	−	0.682889i	$-0.239277\pi$
$131$	18.8914	−	3.33107i	1.65055	−	0.291037i	0.920028	+	0.391852i	$0.128166\pi$
$132$	−13.5720	−	8.44736i	−1.18129	−	0.735249i
$133$	−0.989892	+	1.17971i	−0.0858346	+	0.102294i
$134$	−13.0089	+	3.07779i	−1.12380	+	0.265881i
$135$	5.94031	−	21.3308i	0.511260	−	1.83586i
$136$	−5.10225	−	6.09512i	−0.437514	−	0.522652i
$137$	−13.3756	+	15.9404i	−1.14275	+	1.36188i	−0.220454	+	0.975397i	$0.570754\pi$
$137$	−13.3756	+	15.9404i	−1.14275	+	1.36188i	−0.922297	+	0.386481i	$0.873690\pi$
$138$	4.70346	+	1.27875i	0.400385	+	0.108854i
$139$	−0.182725	−	1.03628i	−0.0154985	−	0.0878964i	0.976077	−	0.217423i	$-0.0697652\pi$
$139$	−0.182725	−	1.03628i	−0.0154985	−	0.0878964i	−0.991576	+	0.129527i	$0.958654\pi$
$140$	−1.46424	−	12.6129i	−0.123751	−	1.06598i
$141$	7.95345	+	1.19157i	0.669802	+	0.100348i
$142$	0.362272	+	6.26213i	0.0304012	+	0.525507i
$143$	10.1477	−	17.5764i	0.848596	−	1.46981i
$144$	2.86187	−	11.6537i	0.238489	−	0.971145i
$145$	−2.17856	−	3.77338i	−0.180920	−	0.313362i
$146$	−14.4676	+	9.50737i	−1.19734	+	0.786835i
$147$	2.63002	−	7.85092i	0.216920	−	0.647533i
$148$	10.9295	+	4.72468i	0.898402	+	0.388366i
$149$	−0.754433	+	0.633045i	−0.0618056	+	0.0518610i	−0.673167	−	0.739490i	$-0.735067\pi$
$149$	−0.754433	+	0.633045i	−0.0618056	+	0.0518610i	0.611362	+	0.791351i	$0.290622\pi$
$150$	29.2623	−	13.5151i	2.38925	−	1.10350i
$151$	4.23102	+	11.6246i	0.344315	+	0.945999i	0.984127	+	0.177467i	$0.0567902\pi$
$151$	4.23102	+	11.6246i	0.344315	+	0.945999i	−0.639811	+	0.768532i	$0.720988\pi$
$152$	−2.74612	−	1.00315i	−0.222740	−	0.0813664i
$153$	−7.07411	+	4.58676i	−0.571908	+	0.370818i
$154$	−2.79231	+	9.31373i	−0.225011	+	0.750522i
$155$	−25.7760	−	4.54501i	−2.07038	−	0.365064i
$156$	14.9075	+	3.14114i	1.19355	+	0.251493i
$157$	6.41069	−	17.6132i	0.511629	−	1.40569i	−0.367910	−	0.929861i	$-0.619927\pi$
$157$	6.41069	−	17.6132i	0.511629	−	1.40569i	0.879539	−	0.475827i	$-0.157851\pi$
$158$	−4.44258	+	1.91429i	−0.353433	+	0.152292i
$159$	0.140658	+	5.44625i	0.0111549	+	0.431915i
$160$	21.5627	−	10.7765i	1.70468	−	0.851958i
$161$		−	2.96465i		−	0.233647i
$162$	−11.9006	−	4.51382i	−0.935003	−	0.354639i
$163$	−9.89370			−0.774934			−0.387467	−	0.921883i	$-0.626650\pi$
$163$	−9.89370			−0.774934			−0.387467	+	0.921883i	$0.626650\pi$
$164$	−1.99840	+	8.40265i	−0.156049	+	0.656137i
$165$	−34.0497	+	0.879387i	−2.65076	+	0.0684602i
$166$	−6.53084	+	2.81410i	−0.506892	+	0.218417i
$167$	−22.3929	−	8.15035i	−1.73281	−	0.630693i	−0.733990	−	0.679161i	$-0.762344\pi$
$167$	−22.3929	−	8.15035i	−1.73281	−	0.630693i	−0.998825	+	0.0484679i	$0.984566\pi$
$168$	−7.29659	+	0.179887i	−0.562944	+	0.0138786i
$169$	−1.10122	+	6.24531i	−0.0847090	+	0.480408i
$170$	−16.2228	−	4.86370i	−1.24423	−	0.373029i
$171$	−1.40979	+	2.76196i	−0.107809	+	0.211212i
$172$	−4.05516	−	2.67166i	−0.309203	−	0.203712i
$173$	−16.0204	+	5.83093i	−1.21801	+	0.443318i	−0.869474	−	0.493979i	$-0.835542\pi$
$173$	−16.0204	+	5.83093i	−1.21801	+	0.443318i	−0.348532	+	0.937297i	$0.613320\pi$
$174$	−2.27376	+	1.05016i	−0.172373	+	0.0796124i
$175$	−12.6018	−	15.0183i	−0.952608	−	1.13527i
$176$	−18.4296	+	1.04450i	−1.38918	+	0.0787322i
$177$	13.3233	+	4.46322i	1.00144	+	0.335477i
$178$	2.81733	+	4.28719i	0.211168	+	0.321338i
$179$	9.77705	−	5.64478i	0.730771	−	0.421911i	−0.0879331	−	0.996126i	$-0.528026\pi$
$179$	9.77705	−	5.64478i	0.730771	−	0.421911i	0.818704	+	0.574215i	$0.194693\pi$
$180$	−8.56871	−	24.0894i	−0.638674	−	1.79551i
$181$	−4.81082	−	2.77753i	−0.357586	−	0.206452i	0.310436	−	0.950594i	$-0.399525\pi$
$181$	−4.81082	−	2.77753i	−0.357586	−	0.206452i	−0.668021	+	0.744142i	$0.732858\pi$
$182$	−0.535175	−	9.25087i	−0.0396698	−	0.685720i
$183$	0.587821	−	3.92356i	0.0434530	−	0.290038i
$184$	5.29105	−	1.91877i	0.390062	−	0.141453i
$185$	24.9844	−	4.40543i	1.83689	−	0.323894i
$186$	−3.94711	+	14.5181i	−0.289416	+	1.06452i
$187$	9.93489	+	8.33636i	0.726511	+	0.609615i
$188$	8.30184	−	4.16122i	0.605474	−	0.303488i
$189$	−0.750296	+	7.70511i	−0.0545760	+	0.560465i
$190$	−6.06187	+	1.43419i	−0.439774	+	0.104047i
$191$	1.68403	+	1.41307i	0.121852	+	0.102246i	0.701677	−	0.712495i	$-0.252435\pi$
$191$	1.68403	+	1.41307i	0.121852	+	0.102246i	−0.579825	+	0.814741i	$0.696879\pi$
$192$	−5.04352	−	12.9059i	−0.363984	−	0.931405i
$193$	−0.352543	−	1.99937i	−0.0253766	−	0.143918i	0.969487	−	0.245143i	$-0.0788349\pi$
$193$	−0.352543	−	1.99937i	−0.0253766	−	0.143918i	−0.994864	+	0.101225i	$0.967724\pi$
$194$	7.77680	+	0.912058i	0.558341	+	0.0654819i
$195$	30.2059	−	11.8859i	2.16309	−	0.851166i
$196$	−2.73486	−	9.16111i	−0.195347	−	0.654365i
$197$	−1.87110	+	3.24084i	−0.133310	+	0.230900i	−0.924951	−	0.380087i	$-0.875894\pi$
$197$	−1.87110	+	3.24084i	−0.133310	+	0.230900i	0.791640	+	0.610987i	$0.209227\pi$
$198$	−1.27377	+	19.5374i	−0.0905230	+	1.38846i
$199$	4.64777	−	2.68339i	0.329472	−	0.190220i	−0.326135	−	0.945323i	$-0.605746\pi$
$199$	4.64777	−	2.68339i	0.329472	−	0.190220i	0.655606	+	0.755103i	$0.272413\pi$
$200$	18.6473	−	32.2107i	1.31856	−	2.27764i
$201$	10.8443	+	12.2661i	0.764896	+	0.865184i
$202$	5.06787	−	6.80178i	0.356574	−	0.478572i
$203$	0.979195	+	1.16696i	0.0687260	+	0.0819045i
$204$	−3.63092	+	9.03280i	−0.254215	+	0.632423i
$205$	6.29405	+	17.2928i	0.439596	+	1.20778i
$206$	1.56112	−	1.47169i	0.108769	−	0.102538i
$207$	−1.33870	−	5.81760i	−0.0930459	−	0.404351i
$208$	16.1638	−	6.94244i	1.12076	−	0.481372i
$209$	4.69762	+	0.828317i	0.324941	+	0.0572959i
$210$	−12.7714	+	8.87319i	−0.881313	+	0.612309i
$211$	−19.5453	−	7.11390i	−1.34555	−	0.489741i	−0.433995	−	0.900915i	$-0.642897\pi$
$211$	−19.5453	−	7.11390i	−1.34555	−	0.489741i	−0.911557	+	0.411174i	$0.865119\pi$
$212$	3.75271	+	5.04900i	0.257737	+	0.346766i
$213$	6.55171	−	4.01166i	0.448916	−	0.274874i
$214$	−2.44038	+	4.85447i	−0.166821	+	0.331844i
$215$	−10.3468			−0.705646
$216$	−14.2370	+	3.64780i	−0.968708	+	0.248202i
$217$	9.15096			0.621208
$218$	0.0502258	−	0.0999104i	0.00340172	−	0.00676679i
$219$	18.6296	+	10.1237i	1.25887	+	0.684096i
$220$	−31.5661	+	23.4617i	−2.12818	+	1.58179i
$221$	−11.6142	−	4.22722i	−0.781256	−	0.284354i
$222$	−1.21784	−	14.5321i	−0.0817359	−	0.975333i
$223$	−0.670958	−	0.118308i	−0.0449307	−	0.00792249i	0.151138	−	0.988513i	$-0.451706\pi$
$223$	−0.670958	−	0.118308i	−0.0449307	−	0.00792249i	−0.196068	+	0.980590i	$0.562817\pi$
$224$	−6.77007	+	5.01960i	−0.452344	+	0.335386i
$225$	−31.5104	−	23.7803i	−2.10069	−	1.58535i
$226$	14.1679	−	13.3563i	0.942438	−	0.888448i
$227$	7.91255	+	21.7395i	0.525174	+	1.44290i	0.864691	+	0.502304i	$0.167514\pi$
$227$	7.91255	+	21.7395i	0.525174	+	1.44290i	−0.339517	+	0.940600i	$0.610264\pi$
$228$	0.504603	+	3.54494i	0.0334181	+	0.234769i
$229$	18.0468	+	21.5073i	1.19256	+	1.42124i	0.882362	+	0.470572i	$0.155952\pi$
$229$	18.0468	+	21.5073i	1.19256	+	1.42124i	0.310202	+	0.950671i	$0.399603\pi$
$230$	7.16479	−	9.61614i	0.472433	−	0.634070i
$231$	11.6703	−	2.37000i	0.767852	−	0.155934i
$232$	−1.44894	+	2.50286i	−0.0951277	+	0.164321i
$233$	1.33665	−	0.771717i	0.0875670	−	0.0505568i	−0.455577	−	0.890196i	$-0.650567\pi$
$233$	1.33665	−	0.771717i	0.0875670	−	0.0505568i	0.543144	+	0.839639i	$0.317234\pi$
$234$	−5.22745	−	17.9115i	−0.341729	−	1.17091i
$235$	9.89304	−	17.1353i	0.645351	−	1.11778i
$236$	15.5467	−	4.64114i	1.01200	−	0.302112i
$237$	4.63536	+	3.68985i	0.301099	+	0.239682i
$238$	5.88101	+	0.689721i	0.381209	+	0.0447080i
$239$	3.40625	+	19.3178i	0.220332	+	1.24957i	0.871410	+	0.490555i	$0.163206\pi$
$239$	3.40625	+	19.3178i	0.220332	+	1.24957i	−0.651078	+	0.759011i	$0.725683\pi$
$240$	−24.1020	−	17.0505i	−1.55578	−	1.10061i
$241$	−9.13377	−	7.66414i	−0.588358	−	0.493691i	0.299322	−	0.954152i	$-0.403240\pi$
$241$	−9.13377	−	7.66414i	−0.588358	−	0.493691i	−0.887680	+	0.460461i	$0.847684\pi$
$242$	14.1700	−	3.35251i	0.910882	−	0.215507i
$243$	2.00695	+	15.4587i	0.128746	+	0.991678i
$244$	−2.05280	−	4.09543i	−0.131417	−	0.262183i
$245$	−15.6047	−	13.0939i	−0.996945	−	0.836536i
$246$	10.2277	−	2.70042i	0.652091	−	0.172173i
$247$	−4.47685	+	0.789389i	−0.284855	+	0.0502276i
$248$	5.92264	+	16.3319i	0.376088	+	1.03707i
$249$	6.81423	+	5.42428i	0.431834	+	0.343750i
$250$	−2.83974	−	49.0869i	−0.179601	−	3.10453i
$251$	7.11140	+	4.10577i	0.448868	+	0.259154i	0.707352	−	0.706862i	$-0.249890\pi$
$251$	7.11140	+	4.10577i	0.448868	+	0.259154i	−0.258484	+	0.966016i	$0.583223\pi$
$252$	4.41282	+	7.77406i	0.277982	+	0.489720i
$253$	−7.95260	+	4.59144i	−0.499976	+	0.288661i
$254$	7.26561	+	11.0562i	0.455885	+	0.693730i
$255$	4.12810	+	20.3276i	0.258512	+	1.27296i
$256$	−13.3403	−	8.83389i	−0.833766	−	0.552118i
$257$	−7.92624	−	9.44612i	−0.494425	−	0.589233i	0.459912	−	0.887964i	$-0.347881\pi$
$257$	−7.92624	−	9.44612i	−0.494425	−	0.589233i	−0.954337	+	0.298732i	$0.903436\pi$
$258$	−0.540036	+	5.92297i	−0.0336212	+	0.368748i
$259$	−8.33500	+	3.03369i	−0.517912	+	0.188504i
$260$	20.6211	−	31.2996i	1.27887	−	1.94112i
$261$	2.44844	+	1.84779i	0.151555	+	0.114375i
$262$	−25.9859	−	7.79074i	−1.60541	−	0.481313i
$263$	4.03911	−	22.9069i	0.249062	−	1.41250i	−0.561804	−	0.827270i	$-0.689893\pi$
$263$	4.03911	−	22.9069i	0.249062	−	1.41250i	0.810866	−	0.585231i	$-0.198996\pi$
$264$	11.7830	+	19.2944i	0.725193	+	1.18749i
$265$	12.5954	+	4.58435i	0.773729	+	0.281614i
$266$	2.00011	−	0.861836i	0.122635	−	0.0528425i
$267$	2.99997	−	5.52053i	0.183595	−	0.337851i
$268$	18.3922	+	4.37422i	1.12348	+	0.267198i
$269$	16.2085			0.988253			0.494126	−	0.869390i	$-0.335488\pi$
$269$	16.2085			0.988253			0.494126	+	0.869390i	$0.335488\pi$
$270$	−21.0550	+	23.1791i	−1.28136	+	1.41063i
$271$			19.1260i			1.16182i	0.813968	+	0.580909i	$0.197303\pi$
$271$			19.1260i			1.16182i	−0.813968	+	0.580909i	$0.802697\pi$
$272$	2.57532	+	10.9423i	0.156152	+	0.663476i
$273$	−9.67866	+	5.92631i	−0.585779	+	0.358677i
$274$	27.0257	−	11.6452i	1.63269	−	0.703515i
$275$	−20.7694	+	57.0634i	−1.25244	+	3.44105i
$276$	−5.13075	−	4.60335i	−0.308835	−	0.277089i
$277$	−31.5288	−	5.55937i	−1.89438	−	0.334030i	−0.899655	−	0.436602i	$-0.856182\pi$
$277$	−31.5288	−	5.55937i	−1.89438	−	0.334030i	−0.994726	+	0.102571i	$0.967293\pi$
$278$	−0.427359	+	1.42545i	−0.0256313	+	0.0854928i
$279$	17.9571	−	4.13215i	1.07507	−	0.247385i
$280$	−6.16147	+	16.8669i	−0.368218	+	1.00799i
$281$	2.24857	+	6.17789i	0.134138	+	0.368542i	0.988517	−	0.151109i	$-0.0482843\pi$
$281$	2.24857	+	6.17789i	0.134138	+	0.368542i	−0.854379	+	0.519651i	$0.826062\pi$
$282$	−9.29262	−	6.55756i	−0.553368	−	0.390497i
$283$	−13.4541	+	11.2893i	−0.799762	+	0.671080i	−0.948141	−	0.317851i	$-0.897039\pi$
$283$	−13.4541	+	11.2893i	−0.799762	+	0.671080i	0.148379	+	0.988931i	$0.452594\pi$
$284$	3.51991	−	8.14256i	0.208868	−	0.483172i
$285$	5.05321	+	5.71575i	0.299326	+	0.338572i
$286$	−23.9864	+	15.7627i	−1.41835	+	0.932068i
$287$	−3.21700	−	5.57200i	−0.189893	−	0.328905i
$288$	−11.0184	+	12.9071i	−0.649268	+	0.760560i
$289$	−4.55104	+	7.88262i	−0.267708	+	0.463684i
$290$	0.355879	+	6.15162i	0.0208979	+	0.361236i
$291$	−3.51150	−	8.92385i	−0.205847	−	0.523125i
$292$	24.3193	−	2.82326i	1.42318	−	0.165219i
$293$	3.90627	+	22.1536i	0.228207	+	1.29423i	0.856459	+	0.516215i	$0.172660\pi$
$293$	3.90627	+	22.1536i	0.228207	+	1.29423i	−0.628252	+	0.778010i	$0.716229\pi$
$294$	−8.30997	+	8.24939i	−0.484647	+	0.481114i
$295$	22.2207	−	26.4816i	1.29374	−	1.54182i
$296$	−10.8088	−	12.9122i	−0.628250	−	0.750504i
$297$	21.8308	−	9.92049i	1.26675	−	0.575645i
$298$	1.35536	−	0.320667i	0.0785139	−	0.0185757i
$299$	5.62524	−	6.70390i	0.325316	−	0.387696i
$300$	−45.5587	−	1.51029i	−2.63033	−	0.0871967i
$301$	3.56254	−	0.628171i	0.205341	−	0.0362072i
$302$	2.03781	−	17.3757i	0.117263	−	0.999858i
$303$	−10.2739	−	1.53921i	−0.590218	−	0.0884253i
$304$	2.83263	+	3.01183i	0.162463	+	0.172741i
$305$	−8.45309	−	4.88039i	−0.484022	−	0.279450i
$306$	11.8519	−	1.30214i	0.677527	−	0.0744382i
$307$	−12.6479	−	21.9068i	−0.721854	−	1.25029i	−0.960256	−	0.279122i	$-0.909957\pi$
$307$	−12.6479	−	21.9068i	−0.721854	−	1.25029i	0.238401	−	0.971167i	$-0.423377\pi$
$308$	9.44420	−	9.99461i	0.538133	−	0.569496i
$309$	−2.49155	−	0.834655i	−0.141739	−	0.0474819i
$310$	29.6821	+	22.1155i	1.68583	+	1.25608i
$311$	−21.8726	+	18.3533i	−1.24028	+	1.04072i	−0.242782	+	0.970081i	$0.578060\pi$
$311$	−21.8726	+	18.3533i	−1.24028	+	1.04072i	−0.997502	+	0.0706412i	$0.977495\pi$
$312$	−16.8410	−	13.4381i	−0.953432	−	0.760781i
$313$	−13.8017	+	5.02339i	−0.780116	+	0.283939i	−0.701221	−	0.712944i	$-0.747361\pi$
$313$	−13.8017	+	5.02339i	−0.780116	+	0.283939i	−0.0788947	+	0.996883i	$0.525139\pi$
$314$	−19.2879	+	18.1830i	−1.08848	+	1.02613i
$315$	16.9642	+	8.65906i	0.955826	+	0.487883i
$316$	6.82932	+	0.403118i	0.384179	+	0.0226772i
$317$	−1.05728	+	5.99616i	−0.0593830	+	0.336778i	−0.999996	−	0.00270208i	$-0.999140\pi$
$317$	−1.05728	+	5.99616i	−0.0593830	+	0.336778i	0.940613	+	0.339480i	$0.110251\pi$
$318$	3.28168	−	6.97089i	0.184028	−	0.390908i
$319$	1.61384	−	4.43398i	0.0903574	−	0.248255i
$320$	−34.0905	−	0.0799275i	−1.90572	−	0.00446808i
$321$	6.65225	−	0.171805i	0.371292	−	0.00958922i
$322$	−1.88312	+	3.74595i	−0.104942	+	0.208754i
$323$		−	2.90490i		−	0.161633i
$324$	12.1698	+	13.2626i	0.676100	+	0.736810i
$325$		−	57.8717i		−	3.21014i
$326$	12.5011	+	6.28440i	0.692371	+	0.348061i
$327$	−0.136911	+	0.00353594i	−0.00757119	+	0.000195538i
$328$	7.86235	−	9.34771i	0.434126	−	0.516141i
$329$	−2.36599	+	6.50051i	−0.130441	+	0.358385i
$330$	43.5817	+	20.5169i	2.39909	+	1.12942i
$331$	2.68280	−	15.2149i	0.147460	−	0.836286i	−0.817899	−	0.575361i	$-0.804861\pi$
$331$	2.68280	−	15.2149i	0.147460	−	0.836286i	0.965359	−	0.260925i	$-0.0840275\pi$
$332$	10.0395	+	0.592606i	0.550988	+	0.0325235i
$333$	−14.9861	+	9.71679i	−0.821233	+	0.532477i
$334$	23.1173	+	24.5221i	1.26492	+	1.34179i
$335$	37.8514	−	13.7768i	2.06804	−	0.752706i
$336$	9.33380	+	4.40744i	0.509200	+	0.240446i
$337$	1.94751	−	1.63416i	0.106088	−	0.0890183i	−0.588201	−	0.808715i	$-0.700164\pi$
$337$	1.94751	−	1.63416i	0.106088	−	0.0890183i	0.694289	+	0.719697i	$0.255719\pi$
$338$	5.35840	−	7.19171i	0.291458	−	0.391177i
$339$	−22.6120	−	7.57490i	−1.22812	−	0.411412i
$340$	17.4088	+	16.4501i	0.944124	+	0.892131i
$341$	−14.1724	−	24.5473i	−0.767477	−	1.32931i
$342$	3.53569	−	2.59436i	0.191188	−	0.140287i
$343$	15.1997	+	8.77552i	0.820704	+	0.473834i
$344$	3.42684	+	5.95156i	0.184763	+	0.320887i
$345$	−14.5249	−	2.17609i	−0.781992	−	0.117157i
$346$	23.9461	+	2.80838i	1.28735	+	0.150980i
$347$	−9.54409	+	1.68288i	−0.512354	+	0.0903418i	−0.423847	−	0.905734i	$-0.639321\pi$
$347$	−9.54409	+	1.68288i	−0.512354	+	0.0903418i	−0.0885067	+	0.996076i	$0.528209\pi$
$348$	3.54003	+	0.117354i	0.189766	+	0.00629082i
$349$	2.08774	−	2.48808i	0.111754	−	0.133184i	−0.707267	−	0.706946i	$-0.750072\pi$
$349$	2.08774	−	2.48808i	0.111754	−	0.133184i	0.819022	+	0.573762i	$0.194517\pi$
$350$	6.38342	+	26.9807i	0.341208	+	1.44218i
$351$	−16.3166	+	15.9998i	−0.870916	+	0.854005i
$352$	23.9500	+	10.3866i	1.27654	+	0.553606i
$353$	−13.0109	+	15.5058i	−0.692500	+	0.825289i	−0.991656	−	0.128915i	$-0.958850\pi$
$353$	−13.0109	+	15.5058i	−0.692500	+	0.825289i	0.299156	+	0.954204i	$0.403295\pi$
$354$	−13.9995	−	14.1023i	−0.744064	−	0.749528i
$355$	−3.28207	−	18.6135i	−0.174194	−	0.987904i
$356$	−0.836620	−	7.20658i	−0.0443408	−	0.381948i
$357$	−2.65548	−	6.74843i	−0.140543	−	0.357165i
$358$	−15.9392	+	0.922104i	−0.842413	+	0.0487347i
$359$	−4.72922	+	8.19125i	−0.249599	+	0.432318i	−0.963414	−	0.268016i	$-0.913632\pi$
$359$	−4.72922	+	8.19125i	−0.249599	+	0.432318i	0.713816	+	0.700333i	$0.246965\pi$
$360$	−4.47446	+	35.8806i	−0.235825	+	1.89108i
$361$	8.96578	+	15.5292i	0.471883	+	0.817326i
$362$	4.31440	+	6.56531i	0.226760	+	0.345065i
$363$	−11.8122	−	13.3609i	−0.619980	−	0.701267i
$364$	−5.19986	+	12.0288i	−0.272547	+	0.630479i
$365$	39.9602	−	33.5306i	2.09161	−	1.75507i
$366$	−3.23495	+	4.58420i	−0.169093	+	0.239620i
$367$	−8.44113	−	23.1918i	−0.440623	−	1.21060i	−0.939083	−	0.343690i	$-0.888323\pi$
$367$	−8.44113	−	23.1918i	−0.440623	−	1.21060i	0.498460	−	0.866913i	$-0.333899\pi$
$368$	−7.90424	−	0.936399i	−0.412037	−	0.0488132i
$369$	−8.82885	−	9.48142i	−0.459611	−	0.493583i
$370$	−34.3671	−	10.3035i	−1.78666	−	0.535652i
$371$	−4.61508	−	0.813763i	−0.239603	−	0.0422485i
$372$	14.2091	−	15.8371i	0.736709	−	0.821113i
$373$	−10.2604	+	28.1901i	−0.531262	+	1.45963i	0.326308	+	0.945263i	$0.394195\pi$
$373$	−10.2604	+	28.1901i	−0.531262	+	1.45963i	−0.857570	+	0.514367i	$0.828027\pi$
$374$	−7.25793	−	16.8439i	−0.375299	−	0.870976i
$375$	−51.3568	+	31.4461i	−2.65205	+	1.62387i
$376$	−13.1329	−	0.0153954i	−0.677276	−	0.000793959i
$377$			4.49679i			0.231596i
$378$	5.84225	−	9.25913i	0.300493	−	0.476238i
$379$	20.4012			1.04794			0.523968	−	0.851738i	$-0.324451\pi$
$379$	20.4012			1.04794			0.523968	+	0.851738i	$0.324451\pi$
$380$	8.57040	+	2.03830i	0.439652	+	0.104562i
$381$	7.73662	−	14.2369i	0.396359	−	0.729378i
$382$	−1.23027	−	2.85515i	−0.0629460	−	0.146082i
$383$	11.0572	+	4.02450i	0.564998	+	0.205642i	0.608697	−	0.793402i	$-0.291692\pi$
$383$	11.0572	+	4.02450i	0.564998	+	0.205642i	−0.0436999	+	0.999045i	$0.513915\pi$
$384$	−1.82506	+	19.5107i	−0.0931346	+	0.995654i
$385$	5.08761	−	28.8533i	0.259289	−	1.47050i
$386$	−0.824532	+	2.75022i	−0.0419676	+	0.139982i
$387$	6.70720	−	2.84135i	0.340946	−	0.144434i
$388$	−9.24696	−	6.09218i	−0.469443	−	0.309283i
$389$	18.5353	−	6.74631i	0.939779	−	0.342052i	0.173701	−	0.984799i	$-0.444427\pi$
$389$	18.5353	−	6.74631i	0.939779	−	0.342052i	0.766079	+	0.642747i	$0.222205\pi$
$390$	−45.7161	−	4.16824i	−2.31493	−	0.211067i
$391$	3.59460	+	4.28388i	0.181787	+	0.216645i
$392$	−2.36346	+	13.3126i	−0.119373	+	0.672387i
$393$	6.61244	+	32.5610i	0.333553	+	1.64249i
$394$	4.42277	−	2.90642i	0.222816	−	0.146424i
$395$	12.6234	−	7.28815i	0.635155	−	0.366707i
$396$	14.0195	−	23.8772i	0.704505	−	1.19988i
$397$	22.2665	+	12.8556i	1.11752	+	0.645202i	0.940767	−	0.339053i	$-0.110107\pi$
$397$	22.2665	+	12.8556i	1.11752	+	0.645202i	0.176755	+	0.984255i	$0.443440\pi$
$398$	−7.57710	+	0.438345i	−0.379806	+	0.0219723i
$399$	−2.08690	−	1.66122i	−0.104476	−	0.0831649i
$400$	−44.0215	+	28.8549i	−2.20108	+	1.44275i
$401$	9.57894	−	1.68903i	0.478350	−	0.0843459i	0.0707256	−	0.997496i	$-0.477469\pi$
$401$	9.57894	−	1.68903i	0.478350	−	0.0843459i	0.407624	+	0.913150i	$0.366357\pi$
$402$	−5.91085	−	22.3869i	−0.294806	−	1.11656i
$403$	20.6929	+	17.3634i	1.03079	+	0.864932i
$404$	−10.7239	+	5.37525i	−0.533534	+	0.267429i
$405$	37.1993	+	9.33161i	1.84845	+	0.463691i
$406$	−0.496009	−	2.09648i	−0.0246165	−	0.104046i
$407$	21.0465	+	17.6601i	1.04324	+	0.875379i
$408$	10.3254	−	9.10697i	0.511182	−	0.450862i
$409$	−4.65112	−	26.3778i	−0.229983	−	1.30430i	−0.852927	−	0.522031i	$-0.825175\pi$
$409$	−4.65112	−	26.3778i	−0.229983	−	1.30430i	0.622944	−	0.782267i	$-0.285937\pi$
$410$	3.03144	−	25.8480i	0.149712	−	1.27654i
$411$	−28.1985	−	22.4466i	−1.39093	−	1.10721i
$412$	−2.90735	+	0.867927i	−0.143235	+	0.0427597i
$413$	−6.04314	+	10.4670i	−0.297363	+	0.515048i
$414$	−2.00379	+	8.20109i	−0.0984810	+	0.403062i
$415$	18.5572	−	10.7140i	0.910935	−	0.525929i
$416$	−24.8334	−	1.49507i	−1.21756	−	0.0733019i
$417$	1.78613	−	0.362724i	0.0874670	−	0.0177627i
$418$	−5.40949	−	4.03050i	−0.264587	−	0.197138i
$419$	−19.9068	−	23.7240i	−0.972513	−	1.15900i	−0.987262	−	0.159104i	$-0.949139\pi$
$419$	−19.9068	−	23.7240i	−0.972513	−	1.15900i	0.0147490	−	0.999891i	$-0.495305\pi$
$420$	21.7734	−	3.09932i	1.06243	−	0.151231i
$421$	−2.69119	−	7.39397i	−0.131160	−	0.360360i	0.856676	−	0.515854i	$-0.172525\pi$
$421$	−2.69119	−	7.39397i	−0.131160	−	0.360360i	−0.987837	+	0.155494i	$0.950303\pi$
$422$	20.1775	+	21.4037i	0.982227	+	1.04192i
$423$	−1.70751	+	13.8245i	−0.0830220	+	0.672169i
$424$	−1.53461	−	8.76329i	−0.0745275	−	0.425583i
$425$	36.4190	+	6.42164i	1.76658	+	0.311495i
$426$	−10.8265	+	0.907296i	−0.524546	+	0.0439586i
$427$	3.20680	+	1.16718i	0.155188	+	0.0564838i
$428$	6.16703	−	4.58370i	0.298095	−	0.221561i
$429$	30.8868	+	16.7845i	1.49123	+	0.810366i
$430$	13.0736	+	6.57220i	0.630465	+	0.316940i
$431$	−14.2911			−0.688376			−0.344188	−	0.938901i	$-0.611846\pi$
$431$	−14.2911			−0.688376			−0.344188	+	0.938901i	$0.611846\pi$
$432$	20.3061	+	4.43411i	0.976979	+	0.213336i
$433$	7.63072			0.366709			0.183354	−	0.983047i	$-0.441304\pi$
$433$	7.63072			0.366709			0.183354	+	0.983047i	$0.441304\pi$
$434$	−11.5626	−	5.81261i	−0.555022	−	0.279014i
$435$	6.43609	−	3.94086i	0.308587	−	0.188950i
$436$	−0.126925	+	0.0943377i	−0.00607858	+	0.00451796i
$437$	1.93280	+	0.703481i	0.0924582	+	0.0336520i
$438$	−17.1087	−	24.6250i	−0.817486	−	1.17663i
$439$	−23.4363	−	4.13245i	−1.11855	−	0.197231i	−0.416348	−	0.909205i	$-0.636690\pi$
$439$	−23.4363	−	4.13245i	−1.11855	−	0.197231i	−0.702206	+	0.711974i	$0.747801\pi$
$440$	54.7877	−	9.59434i	2.61190	−	0.457392i
$441$	13.7113	+	4.20273i	0.652918	+	0.200130i
$442$	11.9899	+	12.7185i	0.570301	+	0.604958i
$443$	−3.05225	−	8.38600i	−0.145017	−	0.398431i	0.845824	−	0.533461i	$-0.179109\pi$
$443$	−3.05225	−	8.38600i	−0.145017	−	0.398431i	−0.990841	+	0.135030i	$0.956887\pi$
$444$	−7.69190	+	19.1355i	−0.365042	+	0.908130i
$445$	−9.93615	−	11.8414i	−0.471019	−	0.561338i
$446$	0.772634	+	0.575674i	0.0365853	+	0.0272589i
$447$	−1.12984	−	1.27797i	−0.0534394	−	0.0604460i
$448$	11.7427	−	2.04217i	0.554788	−	0.0964835i
$449$	−14.0779	+	8.12787i	−0.664377	+	0.383578i	−0.793943	−	0.607993i	$-0.791975\pi$
$449$	−14.0779	+	8.12787i	−0.664377	+	0.383578i	0.129566	+	0.991571i	$0.458642\pi$
$450$	24.7096	+	50.0625i	1.16482	+	2.35997i
$451$	−9.96452	+	17.2591i	−0.469211	+	0.812697i
$452$	−26.3856	+	7.87686i	−1.24107	+	0.370496i
$453$	−19.9385	+	7.84573i	−0.936794	+	0.368624i
$454$	3.81096	−	32.4948i	0.178857	−	1.52505i
$455$	4.84851	+	27.4973i	0.227302	+	1.28909i
$456$	1.61413	−	4.79969i	0.0755886	−	0.224766i
$457$	−14.7151	−	12.3474i	−0.688344	−	0.577589i	0.230087	−	0.973170i	$-0.426099\pi$
$457$	−14.7151	−	12.3474i	−0.688344	−	0.577589i	−0.918431	+	0.395581i	$0.870543\pi$
$458$	−9.14154	−	38.6385i	−0.427156	−	1.80546i
$459$	−8.25819	−	12.0435i	−0.385459	−	0.562143i
$460$	−15.1611	+	7.59936i	−0.706890	+	0.354322i
$461$	−20.6273	−	17.3084i	−0.960710	−	0.806132i	0.0203582	−	0.999793i	$-0.493519\pi$
$461$	−20.6273	−	17.3084i	−0.960710	−	0.806132i	−0.981068	+	0.193661i	$0.937964\pi$
$462$	−16.2513	−	4.41833i	−0.756081	−	0.205559i
$463$	−21.4454	+	3.78140i	−0.996652	+	0.175737i	−0.648102	−	0.761554i	$-0.724437\pi$
$463$	−21.4454	+	3.78140i	−0.996652	+	0.175737i	−0.348550	+	0.937290i	$0.613326\pi$
$464$	3.42059	−	2.24211i	0.158797	−	0.104087i
$465$	6.71691	−	44.8338i	0.311489	−	2.07912i
$466$	−2.17910	+	0.126064i	−0.100945	+	0.00583979i
$467$	12.1934	+	7.03986i	0.564243	+	0.325766i	0.754847	−	0.655901i	$-0.227711\pi$
$467$	12.1934	+	7.03986i	0.564243	+	0.325766i	−0.190604	+	0.981667i	$0.561044\pi$
$468$	−4.77217	+	25.9524i	−0.220594	+	1.19965i
$469$	−12.1963	+	7.04155i	−0.563174	+	0.325148i
$470$	−23.3844	+	15.3671i	−1.07864	+	0.708831i
$471$	30.7835	+	10.3123i	1.41843	+	0.475166i
$472$	−22.5919	−	4.01087i	−1.03988	−	0.184615i
$473$	−7.20247	−	8.58357i	−0.331170	−	0.394673i
$474$	−3.51320	−	7.60661i	−0.161367	−	0.349383i
$475$	12.7814	−	4.65206i	0.586452	−	0.213451i
$476$	−6.99278	−	4.60706i	−0.320514	−	0.211164i
$477$	−9.42374	+	0.487091i	−0.431483	+	0.0223024i
$478$	7.96659	−	26.5725i	0.364383	−	1.21540i
$479$	−6.31561	+	35.8176i	−0.288567	+	1.63655i	0.403690	+	0.914896i	$0.367728\pi$
$479$	−6.31561	+	35.8176i	−0.288567	+	1.63655i	−0.692257	+	0.721651i	$0.743384\pi$
$480$	19.6235	+	36.8534i	0.895685	+	1.68212i
$481$	−24.6040	−	8.95513i	−1.12185	−	0.408319i
$482$	6.67268	+	15.4856i	0.303932	+	0.705352i
$483$	5.13321	−	0.132573i	0.233569	−	0.00603229i
$484$	−20.0338	−	4.76465i	−0.910629	−	0.216575i
$485$	−23.5937			−1.07134
$486$	7.28339	−	20.8075i	0.330381	−	0.943848i
$487$			9.85092i			0.446388i	0.974774	+	0.223194i	$0.0716483\pi$
$487$			9.85092i			0.446388i	−0.974774	+	0.223194i	$0.928352\pi$
$488$	−0.00759481	+	6.47865i	−0.000343801	+	0.293275i
$489$	−0.442427	−	17.1307i	−0.0200072	−	0.774676i
$490$	11.4000	+	26.4566i	0.514999	+	1.19519i
$491$	10.0967	−	27.7405i	0.455659	−	1.25191i	−0.473027	−	0.881048i	$-0.656839\pi$
$491$	10.0967	−	27.7405i	0.455659	−	1.25191i	0.928687	−	0.370865i	$-0.120939\pi$
$492$	−14.6383	−	3.08443i	−0.659947	−	0.139057i
$493$	−2.82985	−	0.498979i	−0.127450	−	0.0224729i
$494$	6.15809	+	1.84623i	0.277065	+	0.0830659i
$495$	−3.04527	−	58.9168i	−0.136875	−	2.64811i
$496$	2.89038	−	24.3980i	0.129782	−	1.09550i
$497$	2.26012	+	6.20962i	0.101380	+	0.278540i
$498$	−5.16459	−	11.1821i	−0.231431	−	0.501084i
$499$	−22.3305	+	18.7375i	−0.999652	+	0.838808i	−0.986936	−	0.161112i	$-0.948492\pi$
$499$	−22.3305	+	18.7375i	−0.999652	+	0.838808i	−0.0127158	+	0.999919i	$0.504048\pi$
$500$	−27.5915	+	63.8270i	−1.23393	+	2.85443i
$501$	13.1107	−	39.1372i	0.585745	−	1.74852i
$502$	−6.37759	−	9.70491i	−0.284646	−	0.433151i
$503$	−10.0189	−	17.3533i	−0.446721	−	0.773743i	0.551449	−	0.834208i	$-0.314075\pi$
$503$	−10.0189	−	17.3533i	−0.446721	−	0.773743i	−0.998170	+	0.0604650i	$0.980742\pi$
$504$	−0.637759	−	12.6258i	−0.0284081	−	0.562398i
$505$	−12.7793	+	22.1344i	−0.568672	+	0.984969i
$506$	12.9649	−	0.750035i	0.576359	−	0.0333431i
$507$	−10.8628	−	1.62745i	−0.482435	−	0.0722776i
$508$	−2.15756	−	18.5850i	−0.0957262	−	0.824578i
$509$	−3.92993	−	22.2877i	−0.174191	−	0.987886i	−0.939074	−	0.343716i	$-0.888314\pi$
$509$	−3.92993	−	22.2877i	−0.174191	−	0.987886i	0.764883	−	0.644170i	$-0.222797\pi$
$510$	7.69591	−	28.3069i	0.340781	−	1.25345i
$511$	−11.7231	+	13.9711i	−0.518600	+	0.618043i
$512$	11.2447	+	19.6356i	0.496951	+	0.867778i
$513$	−4.84530	−	2.31750i	−0.213925	−	0.102320i
$514$	4.01501	+	16.9702i	0.177095	+	0.748525i
$515$	−4.15544	+	4.95226i	−0.183110	+	0.218222i
$516$	4.44458	−	7.14088i	0.195662	−	0.314360i
$517$	21.1018	−	3.72081i	0.928055	−	0.163641i
$518$	12.4586	+	1.46113i	0.547398	+	0.0641985i
$519$	−10.8125	−	27.4781i	−0.474616	−	1.20615i
$520$	−45.9368	+	26.4499i	−2.01446	+	1.15990i
$521$	−0.870834	−	0.502776i	−0.0381519	−	0.0220270i	0.480803	−	0.876829i	$-0.340345\pi$
$521$	−0.870834	−	0.502776i	−0.0381519	−	0.0220270i	−0.518955	+	0.854802i	$0.673679\pi$
$522$	−1.92000	−	3.88999i	−0.0840362	−	0.170260i
$523$	14.5895	+	25.2698i	0.637955	+	1.10497i	0.985881	+	0.167448i	$0.0535528\pi$
$523$	14.5895	+	25.2698i	0.637955	+	1.10497i	−0.347926	+	0.937522i	$0.613114\pi$
$524$	27.8856	+	26.3499i	1.21819	+	1.15110i
$525$	25.4402	−	22.4913i	1.11030	−	0.981601i
$526$	−19.6539	+	26.3782i	−0.856949	+	1.15014i
$527$	−13.2230	+	11.0954i	−0.576004	+	0.483325i
$528$	−2.63266	−	31.8637i	−0.114572	−	1.38669i
$529$	17.8921	−	6.51220i	0.777918	−	0.283139i
$530$	−13.0028	−	13.7930i	−0.564807	−	0.599130i
$531$	−7.13216	+	23.2685i	−0.309510	+	1.00977i
$532$	−3.07465	−	0.181489i	−0.133303	−	0.00786854i
$533$	3.29800	−	18.7039i	0.142852	−	0.810156i
$534$	−7.29717	+	5.06985i	−0.315779	+	0.219394i
$535$	5.59950	−	15.3845i	0.242087	−	0.665130i
$536$	−20.4608	−	17.2096i	−0.883772	−	0.743340i
$537$	10.2110	+	16.6763i	0.440637	+	0.719635i
$538$	−20.4801	−	10.2955i	−0.882961	−	0.443872i
$539$		−	22.0601i		−	0.950197i
$540$	41.3269	−	15.9137i	1.77843	−	0.684818i
$541$		−	16.9478i		−	0.728644i	−0.931273	−	0.364322i	$-0.881301\pi$
$541$		−	16.9478i		−	0.728644i	0.931273	−	0.364322i	$-0.118699\pi$
$542$	12.1486	−	24.1664i	0.521829	−	1.03804i
$543$	4.59409	−	8.45402i	0.197151	−	0.362797i
$544$	3.69646	−	15.4619i	0.158484	−	0.662923i
$545$	−0.115244	+	0.316630i	−0.00493651	+	0.0135630i
$546$	15.9937	−	1.34032i	0.684468	−	0.0573605i
$547$	1.00315	−	5.68915i	0.0428916	−	0.243250i	−0.955823	−	0.293944i	$-0.905032\pi$
$547$	1.00315	−	5.68915i	0.0428916	−	0.243250i	0.998714	+	0.0506936i	$0.0161432\pi$
$548$	−41.5451	−	2.45230i	−1.77472	−	0.104757i
$549$	6.81983	+	0.842342i	0.291063	+	0.0359503i
$550$	62.4891	−	58.9093i	2.66454	−	2.51190i
$551$	−0.993151	+	0.361477i	−0.0423096	+	0.0153995i
$552$	3.55890	+	9.07552i	0.151477	+	0.386280i
$553$	−3.90394	+	3.27579i	−0.166012	+	0.139301i
$554$	36.3066	+	27.0513i	1.54252	+	1.14930i
$555$	8.74514	+	43.0629i	0.371211	+	1.82792i
$556$	1.44542	−	1.52966i	0.0612994	−	0.0648719i
$557$	−6.09737	−	10.5610i	−0.258354	−	0.447482i	0.707447	−	0.706766i	$-0.249847\pi$
$557$	−6.09737	−	10.5610i	−0.258354	−	0.447482i	−0.965801	+	0.259284i	$0.916513\pi$
$558$	−25.3143	−	6.18509i	−1.07164	−	0.261836i
$559$	9.24781	+	5.33923i	0.391141	+	0.225825i
$560$	18.4990	−	17.3983i	0.781725	−	0.735214i
$561$	−13.9899	+	17.5748i	−0.590655	+	0.742008i
$562$	1.08299	−	9.23428i	0.0456832	−	0.389525i
$563$	10.5639	−	1.86270i	0.445214	−	0.0785033i	0.0534534	−	0.998570i	$-0.482977\pi$
$563$	10.5639	−	1.86270i	0.445214	−	0.0785033i	0.391761	+	0.920067i	$0.371866\pi$
$564$	7.57628	+	14.1883i	0.319019	+	0.597437i
$565$	−37.7126	+	44.9441i	−1.58658	+	1.89081i
$566$	24.1706	−	5.71857i	1.01597	−	0.240369i
$567$	−13.3748	−	0.954560i	−0.561687	−	0.0400878i
$568$	−9.61963	+	8.05263i	−0.403631	+	0.337881i
$569$	23.2358	−	27.6913i	0.974094	−	1.16088i	−0.0128670	−	0.999917i	$-0.504096\pi$
$569$	23.2358	−	27.6913i	0.974094	−	1.16088i	0.986961	−	0.160962i	$-0.0514597\pi$
$570$	−2.75433	−	10.4318i	−0.115366	−	0.436942i
$571$	4.57114	+	25.9242i	0.191296	+	1.08490i	0.917595	+	0.397516i	$0.130128\pi$
$571$	4.57114	+	25.9242i	0.191296	+	1.08490i	−0.726299	+	0.687379i	$0.758761\pi$
$572$	40.3201	−	4.68081i	1.68587	−	0.195715i
$573$	−2.37138	+	2.97904i	−0.0990660	+	0.124451i
$574$	0.525512	+	9.08385i	0.0219345	+	0.379153i
$575$	−13.0923	+	22.6765i	−0.545987	+	0.945676i
$576$	22.1207	−	9.30984i	0.921697	−	0.387910i
$577$	−21.6322	−	37.4681i	−0.900562	−	1.55982i	−0.826766	−	0.562546i	$-0.809822\pi$
$577$	−21.6322	−	37.4681i	−0.900562	−	1.55982i	−0.0737957	−	0.997273i	$-0.523511\pi$
$578$	10.7574	−	7.06923i	0.447448	−	0.294041i
$579$	3.44609	−	0.699827i	0.143215	−	0.0290838i
$580$	3.45779	−	7.99886i	0.143577	−	0.332135i
$581$	−5.73900	+	4.81560i	−0.238094	+	0.199785i
$582$	−1.23144	+	13.5061i	−0.0510448	+	0.559846i
$583$	4.96461	+	13.6402i	0.205613	+	0.564918i
$584$	−32.5217	−	11.8801i	−1.34576	−	0.491604i
$585$	21.9308	+	51.7692i	0.906729	+	2.14039i
$586$	9.13603	−	30.4731i	0.377406	−	1.25883i
$587$	12.1230	+	2.13761i	0.500370	+	0.0882287i	0.418136	−	0.908384i	$-0.362684\pi$
$587$	12.1230	+	2.13761i	0.500370	+	0.0882287i	0.0822336	+	0.996613i	$0.473795\pi$
$588$	15.7399	−	5.14500i	0.649103	−	0.212176i
$589$	−2.17143	+	5.96596i	−0.0894722	+	0.245823i
$590$	−44.8977	+	19.3462i	−1.84841	+	0.796468i
$591$	−5.69510	−	3.09484i	−0.234265	−	0.127305i
$592$	5.45567	+	23.1807i	0.224227	+	0.952721i
$593$		−	15.7162i		−	0.645387i	−0.946504	−	0.322693i	$-0.895412\pi$
$593$		−	15.7162i		−	0.645387i	0.946504	−	0.322693i	$-0.104588\pi$
$594$	−33.8855	−	1.33183i	−1.39034	−	0.0546455i
$595$	−17.8422			−0.731458
$596$	−1.91624	−	0.455738i	−0.0784921	−	0.0186678i
$597$	4.85406	+	7.92749i	0.198663	+	0.324451i
$598$	−11.3660	+	4.89753i	−0.464789	+	0.200275i
$599$	36.3559	+	13.2324i	1.48546	+	0.540663i	0.952250	−	0.305320i	$-0.0987633\pi$
$599$	36.3559	+	13.2324i	1.48546	+	0.540663i	0.533210	+	0.845983i	$0.320986\pi$
$600$	56.6059	+	30.8468i	2.31093	+	1.25932i
$601$	−1.65205	+	9.36926i	−0.0673887	+	0.382180i	0.932396	+	0.361438i	$0.117714\pi$
$601$	−1.65205	+	9.36926i	−0.0673887	+	0.382180i	−0.999785	+	0.0207422i	$0.993397\pi$
$602$	−4.90042	−	1.46917i	−0.199726	−	0.0598791i
$603$	−20.7535	+	19.3251i	−0.845147	+	0.786978i
$604$	−13.6117	+	20.6605i	−0.553854	+	0.840662i
$605$	−41.2299	+	15.0065i	−1.67623	+	0.610099i
$606$	12.0037	+	8.47072i	0.487618	+	0.344100i
$607$	3.82679	+	4.56060i	0.155325	+	0.185109i	0.838095	−	0.545524i	$-0.183669\pi$
$607$	3.82679	+	4.56060i	0.155325	+	0.185109i	−0.682770	+	0.730633i	$0.739225\pi$
$608$	−1.66605	−	5.60484i	−0.0675673	−	0.227306i
$609$	−1.97677	+	1.74763i	−0.0801028	+	0.0708177i
$610$	7.58082	+	11.5359i	0.306939	+	0.467075i
$611$	−17.6845	+	10.2101i	−0.715438	+	0.413058i
$612$	−15.8024	−	5.88292i	−0.638775	−	0.237803i
$613$	26.9850	+	15.5798i	1.08991	+	0.629261i	0.933553	−	0.358439i	$-0.116691\pi$
$613$	26.9850	+	15.5798i	1.08991	+	0.629261i	0.156359	+	0.987700i	$0.450024\pi$
$614$	2.06610	+	35.7140i	0.0833810	+	1.44130i
$615$	−29.6605	+	11.6713i	−1.19603	+	0.470632i
$616$	−18.2816	+	6.62970i	−0.736587	+	0.267118i
$617$	−3.66800	+	0.646768i	−0.147668	+	0.0260379i	−0.246994	−	0.969017i	$-0.579443\pi$
$617$	−3.66800	+	0.646768i	−0.147668	+	0.0260379i	0.0993254	+	0.995055i	$0.468332\pi$
$618$	2.61800	+	2.63723i	0.105312	+	0.106085i
$619$	3.75932	+	3.15444i	0.151100	+	0.126788i	0.715204	−	0.698916i	$-0.246334\pi$
$619$	3.75932	+	3.15444i	0.151100	+	0.126788i	−0.564104	+	0.825704i	$0.690778\pi$
$620$	−23.4569	−	46.7977i	−0.942051	−	1.87944i
$621$	10.0131	−	2.57807i	0.401814	−	0.103454i
$622$	39.2948	−	9.29683i	1.57558	−	0.372769i
$623$	4.14006	+	3.47392i	0.165868	+	0.139180i
$624$	12.7435	+	27.6768i	0.510147	+	1.10796i
$625$	14.3020	+	81.1107i	0.572080	+	3.24443i
$626$	20.6297	+	2.41944i	0.824530	+	0.0967004i
$627$	−1.22414	+	8.17084i	−0.0488875	+	0.326312i
$628$	35.9207	−	10.7234i	1.43339	−	0.427910i
$629$	8.36566	−	14.4897i	0.333561	−	0.577744i
$630$	−15.9348	−	21.7166i	−0.634858	−	0.865210i
$631$	6.82322	−	3.93939i	0.271628	−	0.156825i	−0.357999	−	0.933722i	$-0.616541\pi$
$631$	6.82322	−	3.93939i	0.271628	−	0.156825i	0.629627	+	0.776897i	$0.283208\pi$
$632$	−8.37306	−	4.84728i	−0.333062	−	0.192815i
$633$	11.4435	−	34.1602i	0.454838	−	1.35775i
$634$	5.14463	−	6.90480i	0.204319	−	0.274225i
$635$	−25.6243	−	30.5379i	−1.01687	−	1.21186i
$636$	−8.57439	+	6.72350i	−0.339997	+	0.266604i
$637$	7.19042	+	19.7555i	0.284895	+	0.782742i
$638$	−4.85557	+	4.57741i	−0.192234	+	0.181221i
$639$	7.23906	+	11.1647i	0.286373	+	0.441670i
$640$	43.0239	+	21.7550i	1.70067	+	0.859942i
$641$	−31.6909	−	5.58797i	−1.25172	−	0.220711i	−0.491786	−	0.870716i	$-0.663656\pi$
$641$	−31.6909	−	5.58797i	−1.25172	−	0.220711i	−0.759930	+	0.650005i	$0.774767\pi$
$642$	−8.51451	−	4.00837i	−0.336041	−	0.158198i
$643$	30.3155	+	11.0340i	1.19553	+	0.435137i	0.861661	−	0.507483i	$-0.169424\pi$
$643$	30.3155	+	11.0340i	1.19553	+	0.435137i	0.333867	+	0.942620i	$0.391646\pi$
$644$	4.75879	−	3.53701i	0.187523	−	0.139378i
$645$	−0.462689	−	17.9152i	−0.0182184	−	0.705411i
$646$	−1.84517	+	3.67045i	−0.0725971	+	0.144412i
$647$	27.3194			1.07404			0.537018	−	0.843571i	$-0.319551\pi$
$647$	27.3194			1.07404			0.537018	+	0.843571i	$0.319551\pi$
$648$	−6.95273	−	24.4879i	−0.273129	−	0.961977i
$649$	37.4368			1.46952
$650$	−36.7596	+	73.1232i	−1.44183	+	2.86813i
$651$	0.409213	+	15.8446i	0.0160383	+	0.621001i
$652$	−11.8038	−	15.8812i	−0.462273	−	0.621954i
$653$	−36.1219	−	13.1473i	−1.41356	−	0.514494i	−0.481387	−	0.876508i	$-0.659867\pi$
$653$	−36.1219	−	13.1473i	−1.41356	−	0.514494i	−0.932172	+	0.362015i	$0.882089\pi$
$654$	0.175238	+	0.0824968i	0.00685236	+	0.00322588i
$655$	80.5025	+	14.1948i	3.14549	+	0.554635i
$656$	−15.8720	+	6.81710i	−0.619697	+	0.266163i
$657$	−16.6958	+	32.7093i	−0.651367	+	1.27611i
$658$	7.11859	−	6.71079i	0.277512	−	0.261614i
$659$	3.90831	+	10.7380i	0.152246	+	0.418293i	0.992245	−	0.124295i	$-0.0396668\pi$
$659$	3.90831	+	10.7380i	0.152246	+	0.418293i	−0.839999	+	0.542588i	$0.817445\pi$
$660$	−42.0350	−	53.6066i	−1.63621	−	2.08664i
$661$	24.6764	+	29.4082i	0.959801	+	1.14385i	0.989536	+	0.144288i	$0.0460892\pi$
$661$	24.6764	+	29.4082i	0.959801	+	1.14385i	−0.0297350	+	0.999558i	$0.509466\pi$
$662$	−13.0542	+	17.5205i	−0.507366	+	0.680955i
$663$	6.79996	−	20.2987i	0.264089	−	0.788337i
$664$	−12.3088	−	7.12577i	−0.477676	−	0.276533i
$665$	−5.68324	+	3.28122i	−0.220387	+	0.127240i
$666$	25.1075	−	2.75850i	0.972897	−	0.106890i
$667$	1.01731	−	1.76203i	0.0393903	−	0.0682259i
$668$	−13.6334	−	45.6685i	−0.527491	−	1.76697i
$669$	0.174843	−	1.16704i	0.00675983	−	0.0451202i
$670$	−56.5777	−	6.63539i	−2.18579	−	0.256347i
$671$	−1.83553	−	10.4098i	−0.0708600	−	0.401867i
$672$	−8.99405	−	11.4977i	−0.346953	−	0.443534i
$673$	20.4768	+	17.1821i	0.789324	+	0.662322i	0.945578	−	0.325395i	$-0.105497\pi$
$673$	20.4768	+	17.1821i	0.789324	+	0.662322i	−0.156254	+	0.987717i	$0.549942\pi$
$674$	−3.49876	+	0.827779i	−0.134767	+	0.0318848i
$675$	39.7659	−	55.6228i	1.53059	−	2.14092i
$676$	−11.3387	+	5.68340i	−0.436102	+	0.218592i
$677$	32.6497	+	27.3963i	1.25483	+	1.05293i	0.996213	+	0.0869471i	$0.0277111\pi$
$677$	32.6497	+	27.3963i	1.25483	+	1.05293i	0.258617	+	0.965980i	$0.416733\pi$
$678$	23.7596	+	23.9341i	0.912484	+	0.919185i
$679$	8.12363	−	1.43241i	0.311756	−	0.0549710i
$680$	−11.5477	−	31.8432i	−0.442835	−	1.22113i
$681$	−37.2876	+	14.6725i	−1.42886	+	0.562252i
$682$	2.31513	+	40.0186i	0.0886508	+	1.53239i
$683$	−15.4409	−	8.91481i	−0.590829	−	0.341116i	0.174596	−	0.984640i	$-0.444138\pi$
$683$	−15.4409	−	8.91481i	−0.590829	−	0.341116i	−0.765425	+	0.643525i	$0.777471\pi$
$684$	−6.11540	+	1.03223i	−0.233828	+	0.0394683i
$685$	−76.7927	+	44.3363i	−2.93410	+	1.69400i
$686$	−13.6312	−	20.7429i	−0.520442	−	0.791968i
$687$	−36.4323	+	32.2093i	−1.38998	+	1.22886i
$688$	−0.549564	−	9.69673i	−0.0209519	−	0.369684i
$689$	−8.89192	−	10.5970i	−0.338755	−	0.403713i
$690$	16.9705	+	11.9756i	0.646055	+	0.455905i
$691$	−31.4339	+	11.4410i	−1.19580	+	0.435236i	−0.861757	−	0.507321i	$-0.830636\pi$
$691$	−31.4339	+	11.4410i	−1.19580	+	0.435236i	−0.334045	+	0.942557i	$0.608414\pi$
$692$	−28.4730	−	18.7589i	−1.08238	−	0.713105i
$693$	4.62546	+	20.1009i	0.175707	+	0.763571i
$694$	13.1283	+	3.93594i	0.498343	+	0.149406i
$695$	0.778650	−	4.41594i	0.0295359	−	0.167506i
$696$	−4.39843	−	2.39688i	−0.166722	−	0.0908535i
$697$	11.4045	+	4.15090i	0.431976	+	0.157227i
$698$	−4.21835	+	1.81766i	−0.159667	+	0.0687996i
$699$	1.39598	+	2.27987i	0.0528008	+	0.0862326i
$700$	9.07224	−	38.1459i	0.342899	−	1.44178i
$701$	39.7889			1.50281			0.751403	−	0.659844i	$-0.229378\pi$
$701$	39.7889			1.50281			0.751403	+	0.659844i	$0.229378\pi$
$702$	30.7796	−	9.85217i	1.16170	−	0.371846i
$703$		−	6.15386i		−	0.232097i
$704$	−23.6643	−	28.3367i	−0.891881	−	1.06798i
$705$	30.1116	+	16.3633i	1.13407	+	0.616277i
$706$	26.2889	−	11.3277i	0.989396	−	0.426325i
$707$	3.05627	−	8.39703i	0.114943	−	0.315803i
$708$	8.73123	+	26.7111i	0.328140	+	1.00387i
$709$	−16.3390	−	2.88100i	−0.613623	−	0.108198i	−0.141806	−	0.989895i	$-0.545291\pi$
$709$	−16.3390	−	2.88100i	−0.613623	−	0.108198i	−0.471818	+	0.881696i	$0.656402\pi$
$710$	−7.67614	+	25.6037i	−0.288080	+	0.960889i
$711$	−6.18159	+	8.19101i	−0.231828	+	0.307187i
$712$	−3.52046	+	9.63721i	−0.131935	+	0.361170i
$713$	−4.18021	−	11.4850i	−0.156550	−	0.430118i
$714$	−0.931246	+	10.2137i	−0.0348510	+	0.382236i
$715$	66.2518	−	55.5919i	2.47768	−	2.07902i
$716$	20.7255	+	8.95934i	0.774549	+	0.334826i
$717$	−33.2960	+	6.76169i	−1.24346	+	0.252520i
$718$	11.1786	−	7.34600i	0.417180	−	0.274150i
$719$	−14.9664	−	25.9226i	−0.558153	−	0.966749i	−0.997651	−	0.0685052i	$-0.978177\pi$
$719$	−14.9664	−	25.9226i	−0.558153	−	0.966749i	0.439498	−	0.898244i	$-0.355156\pi$
$720$	28.4447	−	42.4944i	1.06007	−	1.58367i
$721$	1.13011	−	1.95741i	0.0420875	−	0.0728977i
$722$	−1.46461	−	25.3167i	−0.0545070	−	0.942191i
$723$	12.8618	−	16.1576i	0.478336	−	0.600908i
$724$	−1.28118	−	11.0360i	−0.0476147	−	0.410150i
$725$	−2.33639	−	13.2503i	−0.0867713	−	0.492104i
$726$	6.43843	+	24.3851i	0.238953	+	0.905015i
$727$	26.9841	−	32.1584i	1.00078	−	1.19269i	0.0195611	−	0.999809i	$-0.493773\pi$
$727$	26.9841	−	32.1584i	1.00078	−	1.19269i	0.981223	−	0.192879i	$-0.0617825\pi$
$728$	14.2108	−	11.8959i	0.526688	−	0.440892i
$729$	−26.6766	+	4.16627i	−0.988023	+	0.154306i
$730$	−71.7896	+	16.9848i	−2.65705	+	0.628636i
$731$	−4.38617	+	5.22724i	−0.162228	+	0.193336i
$732$	6.99933	−	3.73750i	0.258703	−	0.138142i
$733$	−14.2918	+	2.52003i	−0.527879	+	0.0930793i	−0.431235	−	0.902240i	$-0.641922\pi$
$733$	−14.2918	+	2.52003i	−0.527879	+	0.0930793i	−0.0966442	+	0.995319i	$0.530811\pi$
$734$	−4.06555	+	34.6655i	−0.150062	+	1.27953i
$735$	21.9739	−	27.6046i	0.810519	−	1.01821i
$736$	9.39252	+	6.20388i	0.346213	+	0.228678i
$737$	37.7776	+	21.8109i	1.39156	+	0.803415i
$738$	5.13307	+	17.5882i	0.188951	+	0.647429i
$739$	6.49029	+	11.2415i	0.238749	+	0.413525i	0.960356	−	0.278778i	$-0.0899293\pi$
$739$	6.49029	+	11.2415i	0.238749	+	0.413525i	−0.721607	+	0.692303i	$0.756596\pi$
$740$	36.8795	+	34.8485i	1.35572	+	1.28106i
$741$	−1.56700	−	7.71624i	−0.0575653	−	0.283463i
$742$	5.31444	+	3.95968i	0.195099	+	0.145365i
$743$	26.7968	−	22.4852i	0.983080	−	0.824902i	−0.00147128	−	0.999999i	$-0.500468\pi$
$743$	26.7968	−	22.4852i	0.983080	−	0.824902i	0.984551	+	0.175097i	$0.0560239\pi$
$744$	−28.0134	+	10.9852i	−1.02702	+	0.402738i
$745$	−3.94364	+	1.43537i	−0.144484	+	0.0525878i
$746$	30.8705	−	29.1021i	1.13025	−	1.06550i
$747$	−9.08728	+	12.0412i	−0.332486	+	0.440565i
$748$	−1.52841	+	25.8931i	−0.0558840	+	0.946745i
$749$	−0.993961	+	5.63703i	−0.0363186	+	0.205973i
$750$	84.8656	−	7.11200i	3.09885	−	0.259694i
$751$	−8.56526	+	23.5329i	−0.312551	+	0.858726i	0.679589	+	0.733593i	$0.262158\pi$
$751$	−8.56526	+	23.5329i	−0.312551	+	0.858726i	−0.992140	+	0.125133i	$0.960064\pi$
$752$	16.5841	+	8.36135i	0.604761	+	0.304907i
$753$	−6.79103	+	12.4968i	−0.247479	+	0.455409i
$754$	2.85632	−	5.68186i	0.104021	−	0.206921i
$755$			52.7154i			1.91851i
$756$	−13.2632	+	7.98833i	−0.482379	+	0.290533i
$757$		−	22.7174i		−	0.825679i	−0.910804	−	0.412840i	$-0.864537\pi$
$757$		−	22.7174i		−	0.825679i	0.910804	−	0.412840i	$-0.135463\pi$
$758$	−25.7777	−	12.9586i	−0.936287	−	0.470679i
$759$	−8.30558	−	13.5644i	−0.301473	−	0.492357i
$760$	−9.53433	−	8.01931i	−0.345846	−	0.290891i
$761$	0.0127475	−	0.0350234i	0.000462095	−	0.00126960i	−0.939461	−	0.342655i	$-0.888674\pi$
$761$	0.0127475	−	0.0350234i	0.000462095	−	0.00126960i	0.939923	+	0.341385i	$0.110896\pi$
$762$	−18.8187	+	13.0746i	−0.681729	+	0.473644i
$763$	0.0204568	−	0.116017i	0.000740588	−	0.00420008i
$764$	−0.259075	+	4.38905i	−0.00937301	+	0.158790i
$765$	−35.0121	+	8.05670i	−1.26587	+	0.291291i
$766$	−11.4149	−	12.1086i	−0.412437	−	0.437500i
$767$	−33.5258	+	12.2024i	−1.21054	+	0.440602i
$768$	14.6991	−	23.4933i	0.530408	−	0.847743i
$769$	24.5418	−	20.5930i	0.884999	−	0.742602i	−0.0822020	−	0.996616i	$-0.526195\pi$
$769$	24.5418	−	20.5930i	0.884999	−	0.742602i	0.967201	+	0.254014i	$0.0817508\pi$
$770$	−24.7557	+	33.2256i	−0.892135	+	1.19737i
$771$	16.0013	−	14.1465i	0.576271	−	0.509473i
$772$	2.78874	−	2.95127i	0.100369	−	0.106219i
$773$	19.2134	+	33.2786i	0.691057	+	1.19695i	0.971492	+	0.237073i	$0.0761881\pi$
$773$	19.2134	+	33.2786i	0.691057	+	1.19695i	−0.280435	+	0.959873i	$0.590479\pi$
$774$	−10.2796	−	0.670194i	−0.369493	−	0.0240896i
$775$	−69.9955	−	40.4119i	−2.51431	−	1.45164i
$776$	7.81419	+	13.5713i	0.280513	+	0.487181i
$777$	−5.62548	−	14.2962i	−0.201813	−	0.512872i
$778$	−27.7053	−	3.24926i	−0.993285	−	0.116492i
$779$	4.39602	−	0.775137i	0.157504	−	0.0277722i
$780$	55.1165	+	34.3052i	1.97349	+	1.22832i
$781$	13.1569	−	15.6797i	0.470790	−	0.561065i
$782$	−1.82084	−	7.69611i	−0.0651129	−	0.275212i
$783$	−3.08991	+	4.32204i	−0.110425	+	0.154457i
$784$	11.4424	−	15.3197i	0.408656	−	0.547133i
$785$	51.3411	−	61.1860i	1.83244	−	2.18382i
$786$	12.3274	−	45.3423i	0.439704	−	1.61731i
$787$	0.888555	+	5.03924i	0.0316736	+	0.179630i	0.996540	−	0.0831097i	$-0.0264852\pi$
$787$	0.888555	+	5.03924i	0.0316736	+	0.179630i	−0.964867	+	0.262739i	$0.915374\pi$
$788$	−7.43447	+	0.863076i	−0.264842	+	0.0307458i
$789$	39.8433	+	5.96926i	1.41846	+	0.212511i
$790$	−20.5796	+	1.19056i	−0.732189	+	0.0423581i
$791$	10.2563	−	17.7644i	0.364672	−	0.631630i
$792$	−32.8808	+	21.2648i	−1.16837	+	0.755610i
$793$	5.03682	+	8.72404i	0.178863	+	0.309800i
$794$	−19.9688	−	30.3870i	−0.708667	−	1.07839i
$795$	−7.37444	+	22.0136i	−0.261544	+	0.780742i
$796$	9.85240	+	4.25905i	0.349209	+	0.150958i
$797$	17.4986	−	14.6831i	0.619833	−	0.520102i	−0.277918	−	0.960605i	$-0.589644\pi$
$797$	17.4986	−	14.6831i	0.619833	−	0.520102i	0.897751	+	0.440503i	$0.145200\pi$
$798$	1.58169	+	3.42460i	0.0559911	+	0.121229i
$799$	−4.46296	−	12.2619i	−0.157888	−	0.433795i
$800$	73.9514	−	8.49725i	2.61458	−	0.300423i
$801$	9.69280	+	4.94750i	0.342478	+	0.174811i
$802$	−13.1762	−	3.95031i	−0.465269	−	0.139490i
$803$	55.6330	+	9.80960i	1.96325	+	0.346173i
$804$	−6.75138	+	32.0412i	−0.238103	+	1.13001i
$805$	4.32085	−	11.8714i	0.152290	−	0.418413i
$806$	−15.1172	−	35.0833i	−0.532480	−	1.23576i
$807$	0.724815	+	28.0647i	0.0255147	+	0.987923i
$808$	16.9644	+	0.0198870i	0.596805	+	0.000699623i
$809$			7.98095i			0.280595i	0.990109	+	0.140298i	$0.0448059\pi$
$809$			7.98095i			0.280595i	−0.990109	+	0.140298i	$0.955194\pi$
$810$	−41.0755	−	35.4196i	−1.44325	−	1.24452i
$811$	−15.3983			−0.540709			−0.270354	−	0.962761i	$-0.587141\pi$
$811$	−15.3983			−0.540709			−0.270354	+	0.962761i	$0.587141\pi$
$812$	−0.704938	+	2.96404i	−0.0247385	+	0.104017i
$813$	−33.1161	+	0.855276i	−1.16143	+	0.0299958i
$814$	−15.3755	−	35.6828i	−0.538911	−	1.25068i
$815$	−39.6177	−	14.4197i	−1.38775	−	0.505099i
$816$	−18.8312	+	4.94842i	−0.659224	+	0.173229i
$817$	−0.435819	+	2.47165i	−0.0152474	+	0.0864721i
$818$	−10.8781	+	36.2837i	−0.380343	+	1.26863i
$819$	−10.6941	−	16.4933i	−0.373681	−	0.576324i
$820$	−20.2488	+	30.7344i	−0.707118	+	1.07329i
$821$	20.0433	−	7.29516i	0.699515	−	0.254603i	0.0323115	−	0.999478i	$-0.489713\pi$
$821$	20.0433	−	7.29516i	0.699515	−	0.254603i	0.667204	+	0.744875i	$0.267491\pi$
$822$	21.3720	+	46.2736i	0.745433	+	1.61398i
$823$	−27.7027	−	33.0148i	−0.965657	−	1.15083i	−0.988521	−	0.151086i	$-0.951723\pi$
$823$	−27.7027	−	33.0148i	−0.965657	−	1.15083i	0.0228636	−	0.999739i	$-0.492722\pi$
$824$	4.22484	+	0.750062i	0.147179	+	0.0261296i
$825$	−99.7325	−	33.4098i	−3.47224	−	1.16318i
$826$	14.2843	−	9.38694i	0.497014	−	0.326613i
$827$	−38.2037	+	22.0569i	−1.32847	+	0.766995i	−0.985064	−	0.172191i	$-0.944916\pi$
$827$	−38.2037	+	22.0569i	−1.32847	+	0.766995i	−0.343410	+	0.939185i	$0.611582\pi$
$828$	7.74113	−	9.08961i	0.269023	−	0.315886i
$829$	−11.0164	−	6.36030i	−0.382614	−	0.220902i	0.296341	−	0.955082i	$-0.404234\pi$
$829$	−11.0164	−	6.36030i	−0.382614	−	0.220902i	−0.678955	+	0.734180i	$0.737567\pi$
$830$	−30.2531	+	1.75018i	−1.05010	+	0.0607497i
$831$	8.21600	−	54.8398i	0.285010	−	1.90237i
$832$	30.4283	+	17.6630i	1.05491	+	0.612356i
$833$	−13.2301	+	2.33283i	−0.458397	+	0.0808277i
$834$	−2.48724	−	0.676217i	−0.0861261	−	0.0234155i
$835$	−77.7899	−	65.2735i	−2.69203	−	2.25888i
$836$	4.27496	+	8.52875i	0.147853	+	0.294973i
$837$	7.95772	+	30.9075i	0.275059	+	1.06832i
$838$	10.0838	+	42.6209i	0.348338	+	1.47232i
$839$	23.1960	+	19.4638i	0.800816	+	0.671964i	0.948397	−	0.317086i	$-0.102704\pi$
$839$	23.1960	+	19.4638i	0.800816	+	0.671964i	−0.147581	+	0.989050i	$0.547149\pi$
$840$	−29.4802	−	9.91416i	−1.01716	−	0.342071i
$841$	−4.85425	−	27.5298i	−0.167388	−	0.949305i
$842$	−1.29617	+	11.0520i	−0.0446690	+	0.380877i
$843$	−10.5963	+	4.16960i	−0.364956	+	0.143609i
$844$	−11.8997	−	39.8610i	−0.409603	−	1.37207i
$845$	−13.5119	+	23.4033i	−0.464824	+	0.805099i
$846$	10.9387	−	16.3832i	0.376080	−	0.563265i
$847$	13.2849	−	7.67005i	0.456475	−	0.263546i
$848$	−3.62733	+	12.0475i	−0.124563	+	0.413714i
$849$	−20.1488	−	22.7905i	−0.691504	−	0.782169i
$850$	−41.9378	−	31.2470i	−1.43845	−	1.07176i
$851$	7.61496	+	9.07515i	0.261037	+	0.311092i
$852$	14.2560	+	5.73051i	0.488404	+	0.196324i
$853$	5.79837	+	15.9309i	0.198532	+	0.545463i	0.998510	−	0.0545663i	$-0.0173776\pi$
$853$	5.79837	+	15.9309i	0.198532	+	0.545463i	−0.799978	+	0.600030i	$0.795155\pi$
$854$	−3.31054	−	3.51171i	−0.113284	−	0.120168i
$855$	−9.67070	+	9.00510i	−0.330731	+	0.307968i
$856$	−10.7038	+	1.87444i	−0.365849	+	0.0640669i
$857$	−47.6315	−	8.39871i	−1.62706	−	0.286895i	−0.715670	−	0.698438i	$-0.753879\pi$
$857$	−47.6315	−	8.39871i	−1.62706	−	0.286895i	−0.911390	+	0.411544i	$0.864990\pi$
$858$	−28.3653	−	40.8270i	−0.968376	−	1.39381i
$859$	46.3857	+	16.8830i	1.58266	+	0.576041i	0.975780	−	0.218754i	$-0.0701991\pi$
$859$	46.3857	+	16.8830i	1.58266	+	0.576041i	0.606879	+	0.794794i	$0.292421\pi$
$860$	−12.3444	−	16.6085i	−0.420940	−	0.566344i
$861$	9.50391	−	5.81931i	0.323893	−	0.198322i
$862$	18.0573	+	9.07756i	0.615035	+	0.309183i
$863$	14.4959			0.493447			0.246724	−	0.969086i	$-0.420646\pi$
$863$	14.4959			0.493447			0.246724	+	0.969086i	$0.420646\pi$
$864$	−22.8411	−	18.5010i	−0.777069	−	0.629415i
$865$	−72.6492			−2.47015
$866$	−9.64171	−	4.84697i	−0.327639	−	0.164707i
$867$	−13.8521	−	7.52750i	−0.470441	−	0.255647i
$868$	10.9177	+	14.6889i	0.370570	+	0.498575i
$869$	14.8334	+	5.39892i	0.503189	+	0.183146i
$870$	−10.6355	+	0.891284i	−0.360576	+	0.0302174i
$871$	−40.9402	−	7.21886i	−1.38721	−	0.244602i
$872$	0.220297	−	0.0385780i	0.00746019	−	0.00130642i
$873$	15.2944	−	6.47912i	0.517636	−	0.219285i
$874$	−1.99532	−	2.11657i	−0.0674927	−	0.0715941i
$875$	−17.7163	−	48.6753i	−0.598922	−	1.64552i
$876$	5.97591	+	41.9820i	0.201907	+	1.41844i
$877$	−3.01975	−	3.59880i	−0.101970	−	0.121523i	0.712646	−	0.701524i	$-0.247497\pi$
$877$	−3.01975	−	3.59880i	−0.101970	−	0.121523i	−0.814616	+	0.580001i	$0.803052\pi$
$878$	26.9878	+	20.1081i	0.910794	+	0.678614i
$879$	−38.1836	+	7.75427i	−1.28790	+	0.261545i
$880$	−75.3206	−	22.6779i	−2.53906	−	0.764470i
$881$	31.4940	−	18.1830i	1.06106	−	0.612602i	0.135334	−	0.990800i	$-0.456789\pi$
$881$	31.4940	−	18.1830i	1.06106	−	0.612602i	0.925725	+	0.378198i	$0.123456\pi$
$882$	−14.6552	−	14.0196i	−0.493466	−	0.472064i
$883$	−14.0669	+	24.3645i	−0.473387	+	0.819931i	−0.999536	−	0.0304617i	$-0.990302\pi$
$883$	−14.0669	+	24.3645i	−0.473387	+	0.819931i	0.526149	+	0.850393i	$0.323636\pi$
$884$	−7.07102	−	23.6862i	−0.237824	−	0.796654i
$885$	46.8459	+	37.2904i	1.57471	+	1.25350i
$886$	−1.47007	+	12.5348i	−0.0493881	+	0.421115i
$887$	−3.68942	−	20.9238i	−0.123879	−	0.702551i	−0.981968	−	0.189050i	$-0.939459\pi$
$887$	−3.68942	−	20.9238i	−0.123879	−	0.702551i	0.858089	−	0.513501i	$-0.171652\pi$
$888$	21.8737	−	19.2926i	0.734034	−	0.647417i
$889$	10.6768	+	8.95890i	0.358088	+	0.300472i
$890$	5.03313	+	21.2735i	0.168711	+	0.713089i
$891$	18.1533	+	37.3559i	0.608158	+	1.25147i
$892$	−0.610590	−	1.21816i	−0.0204441	−	0.0407869i
$893$	−3.67657	−	3.08501i	−0.123032	−	0.103236i
$894$	0.615836	+	2.33243i	0.0205966	+	0.0780082i
$895$	47.3776	−	8.35396i	1.58366	−	0.279242i
$896$	−16.1345	−	4.87847i	−0.539015	−	0.162978i
$897$	11.8592	+	9.44016i	0.395966	+	0.315198i
$898$	22.9507	−	1.32773i	0.765876	−	0.0443069i
$899$	5.43884	+	3.14011i	0.181395	+	0.104729i
$900$	0.577732	−	78.9512i	0.0192577	−	2.63171i
$901$	7.65541	−	4.41986i	0.255039	−	0.147247i
$902$	23.5534	−	15.4781i	0.784241	−	0.515365i
$903$	1.24697	+	6.14035i	0.0414966	+	0.204338i
$904$	38.3425	+	6.80717i	1.27525	+	0.226403i
$905$	−15.2160	−	18.1337i	−0.505797	−	0.602786i
$906$	30.1767	+	2.75140i	1.00255	+	0.0914093i
$907$	30.0902	−	10.9519i	0.999129	−	0.363653i	0.209880	−	0.977727i	$-0.432693\pi$
$907$	30.0902	−	10.9519i	0.999129	−	0.363653i	0.789248	+	0.614074i	$0.210470\pi$
$908$	−25.4557	+	38.6377i	−0.844777	+	1.28224i
$909$	2.20568	−	17.8577i	0.0731576	−	0.592304i
$910$	11.3397	−	37.8236i	0.375909	−	1.25384i
$911$	−2.84421	+	16.1303i	−0.0942328	+	0.534421i	0.900747	+	0.434344i	$0.143020\pi$
$911$	−2.84421	+	16.1303i	−0.0942328	+	0.534421i	−0.994980	+	0.100077i	$0.968091\pi$
$912$	−5.08824	+	5.03931i	−0.168488	+	0.166868i
$913$	21.8059	+	7.93670i	0.721670	+	0.262666i
$914$	10.7501	+	24.9484i	0.355583	+	0.825219i
$915$	8.07226	−	14.8545i	0.266861	−	0.491076i
$916$	−12.9921	+	54.6279i	−0.429272	+	1.80496i
$917$	−28.5798			−0.943789
$918$	2.78461	+	20.4630i	0.0919058	+	0.675379i
$919$			18.7009i			0.616887i	0.951243	+	0.308444i	$0.0998081\pi$
$919$			18.7009i			0.616887i	−0.951243	+	0.308444i	$0.900192\pi$
$920$	23.9837	+	0.0281156i	0.790719	+	0.000926945i
$921$	37.3655	−	22.8792i	1.23123	−	0.753894i
$922$	15.0693	+	34.9721i	0.496281	+	1.15175i
$923$	−6.67162	+	18.3301i	−0.219599	+	0.603343i
$924$	17.7277	+	15.9054i	0.583199	+	0.523251i
$925$	77.1515	+	13.6039i	2.53672	+	0.447293i
$926$	29.4990	+	8.84398i	0.969398	+	0.290631i
$927$	1.33377	−	4.35137i	0.0438066	−	0.142918i
$928$	−5.74622	+	0.660259i	−0.188629	+	0.0216741i
$929$	−8.77648	−	24.1132i	−0.287947	−	0.791128i	−0.996353	−	0.0853232i	$-0.972808\pi$
$929$	−8.77648	−	24.1132i	−0.287947	−	0.791128i	0.708406	−	0.705805i	$-0.249415\pi$
$930$	−36.9651	+	52.3827i	−1.21213	+	1.71770i
$931$	−3.78516	+	3.17612i	−0.124053	+	0.104093i
$932$	2.83345	+	1.22486i	0.0928129	+	0.0401216i
$933$	−32.7564	−	37.0512i	−1.07240	−	1.21300i
$934$	−10.9352	−	16.6403i	−0.357810	−	0.544487i
$935$	27.6327	+	47.8613i	0.903686	+	1.56523i
$936$	22.5146	−	29.7606i	0.735911	−	0.972756i
$937$	11.0095	−	19.0691i	0.359666	−	0.622960i	−0.628239	−	0.778020i	$-0.716224\pi$
$937$	11.0095	−	19.0691i	0.359666	−	0.622960i	0.987905	+	0.155061i	$0.0495573\pi$
$938$	19.8833	−	1.15027i	0.649211	−	0.0375577i
$939$	−9.31505	−	23.6726i	−0.303985	−	0.772525i
$940$	39.3082	−	4.56333i	1.28209	−	0.148839i
$941$	−0.337804	−	1.91578i	−0.0110121	−	0.0624527i	0.978807	−	0.204787i	$-0.0656502\pi$
$941$	−0.337804	−	1.91578i	−0.0110121	−	0.0624527i	−0.989819	+	0.142335i	$0.954539\pi$
$942$	−32.3459	−	32.5834i	−1.05389	−	1.06163i
$943$	−5.52367	+	6.58286i	−0.179876	+	0.214367i
$944$	25.9980	+	19.4181i	0.846164	+	0.632004i
$945$	−14.2343	+	29.7603i	−0.463043	+	0.968104i
$946$	3.64839	+	15.4206i	0.118619	+	0.501368i
$947$	−23.1314	+	27.5669i	−0.751668	+	0.895803i	−0.997291	−	0.0735625i	$-0.976563\pi$
$947$	−23.1314	+	27.5669i	−0.751668	+	0.895803i	0.245623	+	0.969366i	$0.421008\pi$
$948$	−0.392594	+	11.8428i	−0.0127509	+	0.384637i
$949$	−53.0184	+	9.34858i	−1.72105	+	0.303468i
$950$	−19.1048	−	2.24060i	−0.619841	−	0.0726945i
$951$	−10.4295	−	1.56252i	−0.338199	−	0.0506683i
$952$	5.90929	+	10.2630i	0.191521	+	0.332624i
$953$	−1.81538	−	1.04811i	−0.0588061	−	0.0339517i	0.470309	−	0.882502i	$-0.344143\pi$
$953$	−1.81538	−	1.04811i	−0.0588061	−	0.0339517i	−0.529115	+	0.848550i	$0.677476\pi$
$954$	12.2167	+	5.37042i	0.395529	+	0.173874i
$955$	4.68393	+	8.11281i	0.151568	+	0.262524i
$956$	−26.9447	+	28.5150i	−0.871454	+	0.922242i
$957$	7.74948	+	2.59603i	0.250505	+	0.0839179i
$958$	30.7310	−	41.2453i	0.992875	−	1.33258i
$959$	23.7490	−	19.9278i	0.766895	−	0.643501i
$960$	−1.38607	−	59.0304i	−0.0447352	−	1.90520i
$961$	6.32034	−	2.30042i	0.203882	−	0.0742069i
$962$	25.3999	+	26.9434i	0.818926	+	0.868691i
$963$	0.594952	+	11.5105i	0.0191720	+	0.370921i
$964$	1.40516	−	23.8051i	0.0452572	−	0.766712i
$965$	1.50230	−	8.51997i	0.0483608	−	0.274268i
$966$	−6.57022	−	3.09306i	−0.211393	−	0.0995175i
$967$	−8.96560	+	24.6328i	−0.288314	+	0.792137i	0.707988	+	0.706224i	$0.249603\pi$
$967$	−8.96560	+	24.6328i	−0.288314	+	0.792137i	−0.996303	+	0.0859130i	$0.972619\pi$
$968$	22.2871	+	18.7456i	0.716334	+	0.602508i
$969$	5.02975	−	0.129901i	0.161579	−	0.00417303i
$970$	29.8116	+	14.9865i	0.957193	+	0.481189i
$971$		−	35.5567i		−	1.14107i	−0.821274	−	0.570534i	$-0.806736\pi$
$971$		−	35.5567i		−	1.14107i	0.821274	−	0.570534i	$-0.193264\pi$
$972$	−22.4196	+	21.6647i	−0.719109	+	0.694897i
$973$			1.56774i			0.0502594i
$974$	6.25722	−	12.4470i	0.200494	−	0.398828i
$975$	100.203	−	2.58791i	3.20907	−	0.0828795i
$976$	4.12478	−	8.18121i	0.132031	−	0.261874i
$977$	−18.2608	+	50.1711i	−0.584215	+	1.60512i	0.196689	+	0.980466i	$0.436981\pi$
$977$	−18.2608	+	50.1711i	−0.584215	+	1.60512i	−0.780904	+	0.624651i	$0.785241\pi$
$978$	−10.3222	+	21.9263i	−0.330069	+	0.701126i
$979$	2.90689	−	16.4858i	0.0929046	−	0.526888i
$980$	2.40066	−	40.6701i	0.0766862	−	1.29916i
$981$	−0.0122448	−	0.236899i	−0.000390946	−	0.00756361i
$982$	−30.3782	+	28.6379i	−0.969407	+	0.913872i
$983$	30.4366	−	11.0780i	0.970776	−	0.353334i	0.192529	−	0.981291i	$-0.438331\pi$
$983$	30.4366	−	11.0780i	0.970776	−	0.353334i	0.778247	+	0.627958i	$0.216109\pi$
$984$	16.5369	+	13.1954i	0.527177	+	0.420655i
$985$	−12.2159	+	10.2504i	−0.389231	+	0.326604i
$986$	3.25868	+	2.42798i	0.103777	+	0.0773225i
$987$	−11.3613	−	3.80596i	−0.361633	−	0.121145i
$988$	−6.60827	−	6.24435i	−0.210237	−	0.198659i
$989$	−2.41578	−	4.18426i	−0.0768174	−	0.133052i
$990$	−33.5756	+	76.3780i	−1.06710	+	2.42745i
$991$	−36.6096	−	21.1366i	−1.16294	−	0.671426i	−0.210936	−	0.977500i	$-0.567651\pi$
$991$	−36.6096	−	21.1366i	−1.16294	−	0.671426i	−0.952008	+	0.306074i	$0.900984\pi$
$992$	−19.1495	+	28.9919i	−0.607997	+	0.920492i
$993$	26.4642	+	3.96481i	0.839815	+	0.125819i
$994$	1.08855	−	9.28171i	0.0345268	−	0.294398i
$995$	22.5222	−	3.97126i	0.714000	−	0.125898i
$996$	−0.577135	+	17.4096i	−0.0182872	+	0.551644i
$997$	14.6554	−	17.4657i	0.464142	−	0.553143i	−0.482304	−	0.876004i	$-0.660200\pi$
$997$	14.6554	−	17.4657i	0.464142	−	0.553143i	0.946447	+	0.322861i	$0.104645\pi$
$998$	40.1174	−	9.49145i	1.26990	−	0.300447i
$999$	−17.4945	−	25.5135i	−0.553502	−	0.807212i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	216.2.v.b.11.6	✓	192
3.2	odd	2		648.2.v.b.35.27		192
4.3	odd	2		864.2.bh.b.335.16		192
8.3	odd	2	inner	216.2.v.b.11.23	yes	192
8.5	even	2		864.2.bh.b.335.15		192
24.11	even	2		648.2.v.b.35.10		192
27.5	odd	18	inner	216.2.v.b.59.23	yes	192
27.22	even	9		648.2.v.b.611.10		192
108.59	even	18		864.2.bh.b.815.15		192
216.5	odd	18		864.2.bh.b.815.16		192
216.59	even	18	inner	216.2.v.b.59.6	yes	192
216.211	odd	18		648.2.v.b.611.27		192

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
216.2.v.b.11.6	✓	192	1.1	even	1	trivial
216.2.v.b.11.23	yes	192	8.3	odd	2	inner
216.2.v.b.59.6	yes	192	216.59	even	18	inner
216.2.v.b.59.23	yes	192	27.5	odd	18	inner
648.2.v.b.35.10		192	24.11	even	2
648.2.v.b.35.27		192	3.2	odd	2
648.2.v.b.611.10		192	27.22	even	9
648.2.v.b.611.27		192	216.211	odd	18
864.2.bh.b.335.15		192	8.5	even	2
864.2.bh.b.335.16		192	4.3	odd	2
864.2.bh.b.815.15		192	108.59	even	18
864.2.bh.b.815.16		192	216.5	odd	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 216 = 2^{3} \cdot 3^{3} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	216.v (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.26354 - 0.635192i) q^{2} +(0.0447181 + 1.73147i) q^{3} +(1.19306 + 1.60518i) q^{4} +(4.00434 + 1.45746i) q^{5} +(1.04331 - 2.21619i) q^{6} +(-1.46723 - 0.258712i) q^{7} +(-0.487886 - 2.78603i) q^{8} +(-2.99600 + 0.154856i) q^{9} +(-4.13387 - 4.38508i) q^{10} +(1.57835 + 4.33649i) q^{11} +(-2.72597 + 2.13754i) q^{12} +(-2.82693 - 3.36900i) q^{13} +(1.68957 + 1.25886i) q^{14} +(-2.34449 + 6.99858i) q^{15} +(-1.15320 + 3.83016i) q^{16} +(2.43381 - 1.40516i) q^{17} +(3.88393 + 1.70737i) q^{18} +(0.516826 - 0.895168i) q^{19} +(2.43794 + 8.16652i) q^{20} +(0.382341 - 2.55204i) q^{21} +(0.760191 - 6.48188i) q^{22} +(0.345539 + 1.95965i) q^{23} +(4.80212 - 0.969347i) q^{24} +(10.0803 + 8.45837i) q^{25} +(1.43197 + 6.05250i) q^{26} +(-0.402105 - 5.18057i) q^{27} +(-1.33522 - 2.66383i) q^{28} +(-0.783266 - 0.657238i) q^{29} +(7.40779 - 7.35378i) q^{30} +(-6.04883 + 1.06657i) q^{31} +(3.89000 - 4.10705i) q^{32} +(-7.43793 + 2.92679i) q^{33} +(-3.96777 + 0.229540i) q^{34} +(-5.49822 - 3.17440i) q^{35} +(-3.82299 - 4.62436i) q^{36} +(5.15589 - 2.97676i) q^{37} +(-1.22163 + 0.802797i) q^{38} +(5.70692 - 5.04540i) q^{39} +(2.10687 - 11.8673i) q^{40} +(2.77589 + 3.30817i) q^{41} +(-2.10414 + 2.98174i) q^{42} +(-2.28164 + 0.830449i) q^{43} +(-5.07777 + 7.70724i) q^{44} +(-12.2227 - 3.74645i) q^{45} +(0.808150 - 2.69557i) q^{46} +(0.806279 - 4.57264i) q^{47} +(-6.68339 - 1.82546i) q^{48} +(-4.49202 - 1.63496i) q^{49} +(-7.36416 - 17.0904i) q^{50} +(2.54184 + 4.15125i) q^{51} +(2.03515 - 8.55715i) q^{52} +3.14544 q^{53} +(-2.78258 + 6.80127i) q^{54} +19.6651i q^{55} +(-0.00493996 + 4.21397i) q^{56} +(1.57307 + 0.854840i) q^{57} +(0.572215 + 1.32797i) q^{58} +(2.77458 - 7.62310i) q^{59} +(-14.0311 + 4.58642i) q^{60} +(-2.25575 - 0.397750i) q^{61} +(8.32042 + 2.49451i) q^{62} +(4.43588 + 0.547892i) q^{63} +(-7.52394 + 2.71853i) q^{64} +(-6.40978 - 17.6107i) q^{65} +(11.2572 + 1.02639i) q^{66} +(7.24112 - 6.07602i) q^{67} +(5.15923 + 2.23026i) q^{68} +(-3.37763 + 0.685923i) q^{69} +(4.93086 + 7.50340i) q^{70} +(-2.21770 - 3.84117i) q^{71} +(1.89314 + 8.27140i) q^{72} +(6.12067 - 10.6013i) q^{73} +(-8.40549 + 0.486268i) q^{74} +(-14.1947 + 17.8320i) q^{75} +(2.05351 - 0.238394i) q^{76} +(-1.19390 - 6.77096i) q^{77} +(-10.4157 + 2.75008i) q^{78} +(2.19872 - 2.62033i) q^{79} +(-10.2001 + 13.6565i) q^{80} +(8.95204 - 0.927899i) q^{81} +(-1.40612 - 5.94322i) q^{82} +(3.23224 - 3.85203i) q^{83} +(4.55264 - 2.43102i) q^{84} +(11.7938 - 2.07956i) q^{85} +(3.41044 + 0.399974i) q^{86} +(1.10296 - 1.38559i) q^{87} +(11.3115 - 6.51305i) q^{88} +(-3.14150 - 1.81374i) q^{89} +(13.0641 + 12.4975i) q^{90} +(3.27615 + 5.67445i) q^{91} +(-2.73334 + 2.89263i) q^{92} +(-2.11723 - 10.4257i) q^{93} +(-3.92327 + 5.26556i) q^{94} +(3.37421 - 2.83130i) q^{95} +(7.28521 + 6.55177i) q^{96} +(-5.20281 + 1.89367i) q^{97} +(4.63733 + 4.91913i) q^{98} +(-5.40028 - 12.7477i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 192 q - 6 q^{2} - 12 q^{3} - 6 q^{4} - 6 q^{6} - 9 q^{8} - 12 q^{9} - 3 q^{10} - 30 q^{11} - 3 q^{12} + 9 q^{14} - 6 q^{16} - 18 q^{17} + 63 q^{18} - 6 q^{19} - 27 q^{20} - 18 q^{22} - 30 q^{24} - 12 q^{25}+ \cdots - 12 q^{99}+O(q^{100}) \) 192 * q - 6 * q^2 - 12 * q^3 - 6 * q^4 - 6 * q^6 - 9 * q^8 - 12 * q^9 - 3 * q^10 - 30 * q^11 - 3 * q^12 + 9 * q^14 - 6 * q^16 - 18 * q^17 + 63 * q^18 - 6 * q^19 - 27 * q^20 - 18 * q^22 - 30 * q^24 - 12 * q^25 + 18 * q^27 - 12 * q^28 - 21 * q^30 - 36 * q^32 - 30 * q^33 + 12 * q^34 - 18 * q^35 - 36 * q^36 - 102 * q^38 + 9 * q^40 + 18 * q^41 - 6 * q^42 - 42 * q^43 - 81 * q^44 - 3 * q^46 - 81 * q^48 - 12 * q^49 + 57 * q^50 - 18 * q^51 + 21 * q^52 + 78 * q^54 - 69 * q^56 - 36 * q^57 - 33 * q^58 - 84 * q^59 - 54 * q^60 + 90 * q^62 - 51 * q^64 - 12 * q^65 + 87 * q^66 + 30 * q^67 + 63 * q^68 - 33 * q^70 + 12 * q^72 - 6 * q^73 + 51 * q^74 - 96 * q^75 + 30 * q^76 + 90 * q^78 - 12 * q^81 - 12 * q^82 - 72 * q^83 - 48 * q^84 + 42 * q^86 - 78 * q^88 + 144 * q^89 + 120 * q^90 - 6 * q^91 - 3 * q^92 - 33 * q^94 - 78 * q^96 - 42 * q^97 + 162 * q^98 - 12 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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