LMFDB - Embedded newform 296.2.bj.a.19.13

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [296,2,Mod(19,296)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("296.19"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(296, base_ring=CyclotomicField(36)) chi = DirichletCharacter(H, H._module([18, 18, 35])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 296 = 2^{3} \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	296.bj (of order $36$, degree $12$, minimal)

Newform invariants

comment:select newform

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

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

Self dual:	no
Analytic conductor:	$2.36357189983$
Analytic rank:	$0$
Dimension:	$432$
Relative dimension:	$36$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			19.13
Character	$\chi$	$=$	296.19
Dual form			296.2.bj.a.187.13

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.625887 - 1.26817i) q^{2} +(0.394884 + 0.470604i) q^{3} +(-1.21653 + 1.58747i) q^{4} +(-2.94726 + 1.37433i) q^{5} +(0.349655 - 0.795327i) q^{6} +(1.11776 - 3.07102i) q^{7} +(2.77460 + 0.549195i) q^{8} +(0.455409 - 2.58276i) q^{9} +(3.58755 + 2.87746i) q^{10} +(0.252449 + 0.145752i) q^{11} +(-1.22746 + 0.0543614i) q^{12} +(-5.78687 - 4.05201i) q^{13} +(-4.59418 + 0.504599i) q^{14} +(-1.81059 - 0.844293i) q^{15} +(-1.04011 - 3.86240i) q^{16} +(-0.0239016 + 0.0167361i) q^{17} +(-3.56042 + 1.03898i) q^{18} +(-4.69326 - 0.410607i) q^{19} +(1.40373 - 6.35060i) q^{20} +(1.88662 - 0.686673i) q^{21} +(0.0268336 - 0.411374i) q^{22} +(-3.86337 - 1.03519i) q^{23} +(0.837190 + 1.52261i) q^{24} +(3.58363 - 4.27081i) q^{25} +(-1.51672 + 9.87486i) q^{26} +(2.99137 - 1.72707i) q^{27} +(3.51536 + 5.51039i) q^{28} +(6.31679 - 1.69258i) q^{29} +(0.0625166 + 2.82458i) q^{30} +(0.159589 + 0.159589i) q^{31} +(-4.24721 + 3.73647i) q^{32} +(0.0310968 + 0.176359i) q^{33} +(0.0361839 + 0.0198365i) q^{34} +(0.926266 + 10.5873i) q^{35} +(3.54602 + 3.86495i) q^{36} +(6.06318 - 0.487721i) q^{37} +(2.41673 + 6.20887i) q^{38} +(-0.378248 - 4.32340i) q^{39} +(-8.93224 + 2.19459i) q^{40} +(2.35838 - 0.415847i) q^{41} +(-2.05163 - 1.96278i) q^{42} +(-6.46557 - 6.46557i) q^{43} +(-0.538488 + 0.223444i) q^{44} +(2.20735 + 8.23794i) q^{45} +(1.10524 + 5.54734i) q^{46} +(-5.89614 + 3.40414i) q^{47} +(1.40694 - 2.01468i) q^{48} +(-2.81946 - 2.36581i) q^{49} +(-7.65907 - 1.87162i) q^{50} +(-0.0173144 - 0.00463938i) q^{51} +(13.4723 - 4.25708i) q^{52} +(0.361365 + 0.992841i) q^{53} +(-4.06248 - 2.71262i) q^{54} +(-0.944345 - 0.0826195i) q^{55} +(4.78792 - 7.90697i) q^{56} +(-1.66006 - 2.37081i) q^{57} +(-6.10008 - 6.95142i) q^{58} +(2.59128 + 1.20834i) q^{59} +(3.54293 - 1.84715i) q^{60} +(-1.59922 + 2.28392i) q^{61} +(0.102502 - 0.302272i) q^{62} +(-7.42265 - 4.28547i) q^{63} +(7.39677 + 3.04759i) q^{64} +(22.6242 + 3.98926i) q^{65} +(0.204190 - 0.149817i) q^{66} +(1.04070 - 2.85930i) q^{67} +(0.00250901 - 0.0583029i) q^{68} +(-1.03842 - 2.22690i) q^{69} +(12.8468 - 7.80111i) q^{70} +(9.28166 + 11.0614i) q^{71} +(2.68201 - 6.91599i) q^{72} -5.54963i q^{73} +(-4.41338 - 7.38391i) q^{74} +3.42498 q^{75} +(6.36132 - 6.95089i) q^{76} +(0.729784 - 0.612361i) q^{77} +(-5.24608 + 3.18564i) q^{78} +(-8.54328 + 3.98380i) q^{79} +(8.37370 + 9.95406i) q^{80} +(-5.39930 - 1.96519i) q^{81} +(-2.00345 - 2.73057i) q^{82} +(-2.42828 + 13.7715i) q^{83} +(-1.20506 + 3.83031i) q^{84} +(0.0474433 - 0.0821743i) q^{85} +(-4.15274 + 12.2462i) q^{86} +(3.29093 + 2.30433i) q^{87} +(0.620399 + 0.543046i) q^{88} +(4.10515 - 8.80353i) q^{89} +(9.06559 - 7.95533i) q^{90} +(-18.9121 + 13.2424i) q^{91} +(6.34323 - 4.87364i) q^{92} +(-0.0120842 + 0.138123i) q^{93} +(8.00736 + 5.34673i) q^{94} +(14.3966 - 5.23993i) q^{95} +(-3.43555 - 0.523282i) q^{96} +(-0.273354 + 1.02017i) q^{97} +(-1.23559 + 5.05630i) q^{98} +(0.491409 - 0.585638i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 432 q - 12 q^{2} - 24 q^{3} - 18 q^{4} - 12 q^{6} - 6 q^{8} - 24 q^{9} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{14} + 18 q^{16} - 24 q^{17} - 42 q^{18} - 24 q^{19} - 12 q^{20} - 24 q^{22} - 84 q^{24}+ \cdots - 132 q^{99}+O(q^{100}) $ 432 * q - 12 * q^2 - 24 * q^3 - 18 * q^4 - 12 * q^6 - 6 * q^8 - 24 * q^9 - 6 * q^10 - 36 * q^11 - 12 * q^12 - 12 * q^14 + 18 * q^16 - 24 * q^17 - 42 * q^18 - 24 * q^19 - 12 * q^20 - 24 * q^22 - 84 * q^24 - 12 * q^25 - 6 * q^26 - 36 * q^27 - 12 * q^28 - 36 * q^30 - 42 * q^32 - 60 * q^33 - 12 * q^34 - 24 * q^35 + 60 * q^38 - 12 * q^40 - 24 * q^41 - 12 * q^42 - 6 * q^44 + 48 * q^46 - 18 * q^48 + 24 * q^49 - 42 * q^50 + 96 * q^51 - 42 * q^52 - 72 * q^54 - 12 * q^56 - 24 * q^57 + 48 * q^58 - 24 * q^59 + 144 * q^60 - 72 * q^62 + 108 * q^64 - 84 * q^65 - 168 * q^66 - 24 * q^67 - 18 * q^68 - 186 * q^70 + 234 * q^72 - 150 * q^74 - 48 * q^75 + 42 * q^76 - 222 * q^78 + 120 * q^80 - 60 * q^81 - 24 * q^82 - 24 * q^83 + 126 * q^84 - 54 * q^86 - 24 * q^89 + 72 * q^90 - 24 * q^91 + 114 * q^92 - 24 * q^94 + 72 * q^96 - 24 * q^97 - 114 * q^98 - 132 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/296\mathbb{Z}\right)^\times$.

$n$	$113$	$149$	$223$
$\chi(n)$	$e\left(\frac{35}{36}\right)$	$-1$	$-1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.625887	−	1.26817i	−0.442569	−	0.896734i
$2$	−0.625887	−	1.26817i	−0.442569	−	0.896734i
$3$	0.394884	+	0.470604i	0.227986	+	0.271703i	0.867895	−	0.496747i	$-0.165472\pi$
$3$	0.394884	+	0.470604i	0.227986	+	0.271703i	−0.639909	+	0.768451i	$0.721028\pi$
$4$	−1.21653	+	1.58747i	−0.608265	+	0.793734i
$5$	−2.94726	+	1.37433i	−1.31806	+	0.614620i	−0.949143	−	0.314845i	$-0.898048\pi$
$5$	−2.94726	+	1.37433i	−1.31806	+	0.614620i	−0.368913	+	0.929464i	$0.620270\pi$
$6$	0.349655	−	0.795327i	0.142746	−	0.324691i
$7$	1.11776	−	3.07102i	0.422473	−	1.16074i	−0.527813	−	0.849360i	$-0.676988\pi$
$7$	1.11776	−	3.07102i	0.422473	−	1.16074i	0.950287	−	0.311376i	$-0.100790\pi$
$8$	2.77460	+	0.549195i	0.980968	+	0.194170i
$9$	0.455409	−	2.58276i	0.151803	−	0.860918i
$10$	3.58755	+	2.87746i	1.13448	+	0.909934i
$11$	0.252449	+	0.145752i	0.0761163	+	0.0439458i	0.537575	−	0.843216i	$-0.319340\pi$
$11$	0.252449	+	0.145752i	0.0761163	+	0.0439458i	−0.461459	+	0.887162i	$0.652674\pi$
$12$	−1.22746	+	0.0543614i	−0.354336	+	0.0156928i
$13$	−5.78687	−	4.05201i	−1.60499	−	1.12383i	−0.917578	−	0.397556i	$-0.869858\pi$
$13$	−5.78687	−	4.05201i	−1.60499	−	1.12383i	−0.687410	−	0.726269i	$-0.741253\pi$
$14$	−4.59418	+	0.504599i	−1.22785	+	0.134860i
$15$	−1.81059	−	0.844293i	−0.467493	−	0.217996i
$16$	−1.04011	−	3.86240i	−0.260028	−	0.965601i
$17$	−0.0239016	+	0.0167361i	−0.00579698	+	0.00405909i	−0.576471	−	0.817117i	$-0.695571\pi$
$17$	−0.0239016	+	0.0167361i	−0.00579698	+	0.00405909i	0.570674	+	0.821176i	$0.306682\pi$
$18$	−3.56042	+	1.03898i	−0.839198	+	0.244889i
$19$	−4.69326	−	0.410607i	−1.07671	−	0.0941998i	−0.465021	−	0.885300i	$-0.653953\pi$
$19$	−4.69326	−	0.410607i	−1.07671	−	0.0941998i	−0.611687	+	0.791100i	$0.709509\pi$
$20$	1.40373	−	6.35060i	0.313883	−	1.42004i
$21$	1.88662	−	0.686673i	0.411694	−	0.149844i
$22$	0.0268336	−	0.411374i	0.00572095	−	0.0877052i
$23$	−3.86337	−	1.03519i	−0.805569	−	0.215851i	−0.167541	−	0.985865i	$-0.553583\pi$
$23$	−3.86337	−	1.03519i	−0.805569	−	0.215851i	−0.638028	+	0.770014i	$0.720249\pi$
$24$	0.837190	+	1.52261i	0.170891	+	0.310800i
$25$	3.58363	−	4.27081i	0.716726	−	0.854161i
$26$	−1.51672	+	9.87486i	−0.297454	+	1.93662i
$27$	2.99137	−	1.72707i	0.575689	−	0.332374i
$28$	3.51536	+	5.51039i	0.664340	+	1.04137i
$29$	6.31679	−	1.69258i	1.17300	−	0.314304i	0.380852	−	0.924636i	$-0.375631\pi$
$29$	6.31679	−	1.69258i	1.17300	−	0.314304i	0.792146	+	0.610332i	$0.208964\pi$
$30$	0.0625166	+	2.82458i	0.0114139	+	0.515695i
$31$	0.159589	+	0.159589i	0.0286631	+	0.0286631i	0.721293	−	0.692630i	$-0.243548\pi$
$31$	0.159589	+	0.159589i	0.0286631	+	0.0286631i	−0.692630	+	0.721293i	$0.743548\pi$
$32$	−4.24721	+	3.73647i	−0.750808	+	0.660521i
$33$	0.0310968	+	0.176359i	0.00541326	+	0.0307001i
$34$	0.0361839	+	0.0198365i	0.00620549	+	0.00340193i
$35$	0.926266	+	10.5873i	0.156568	+	1.78958i
$36$	3.54602	+	3.86495i	0.591004	+	0.644158i
$37$	6.06318	−	0.487721i	0.996780	−	0.0801808i
$37$	6.06318	−	0.487721i	0.996780	−	0.0801808i
$38$	2.41673	+	6.20887i	0.392046	+	1.00721i
$39$	−0.378248	−	4.32340i	−0.0605682	−	0.692298i
$40$	−8.93224	+	2.19459i	−1.41231	+	0.346995i
$41$	2.35838	−	0.415847i	0.368318	−	0.0649444i	0.0135739	−	0.999908i	$-0.495679\pi$
$41$	2.35838	−	0.415847i	0.368318	−	0.0649444i	0.354744	+	0.934964i	$0.384568\pi$
$42$	−2.05163	−	1.96278i	−0.316574	−	0.302864i
$43$	−6.46557	−	6.46557i	−0.985989	−	0.985989i	0.0139137	−	0.999903i	$-0.495571\pi$
$43$	−6.46557	−	6.46557i	−0.985989	−	0.985989i	−0.999903	+	0.0139137i	$0.995571\pi$
$44$	−0.538488	+	0.223444i	−0.0811802	+	0.0336854i
$45$	2.20735	+	8.23794i	0.329052	+	1.22804i
$46$	1.10524	+	5.54734i	0.162959	+	0.817910i
$47$	−5.89614	+	3.40414i	−0.860041	+	0.496545i	−0.864026	−	0.503447i	$-0.832065\pi$
$47$	−5.89614	+	3.40414i	−0.860041	+	0.496545i	0.00398505	+	0.999992i	$0.498732\pi$
$48$	1.40694	−	2.01468i	0.203074	−	0.290794i
$49$	−2.81946	−	2.36581i	−0.402780	−	0.337973i
$50$	−7.65907	−	1.87162i	−1.08316	−	0.264688i
$51$	−0.0173144	−	0.00463938i	−0.00242450	−	0.000649643i
$52$	13.4723	−	4.25708i	1.86828	−	0.590351i
$53$	0.361365	+	0.992841i	0.0496372	+	0.136377i	0.962034	−	0.272930i	$-0.0879927\pi$
$53$	0.361365	+	0.992841i	0.0496372	+	0.136377i	−0.912397	+	0.409307i	$0.865770\pi$
$54$	−4.06248	−	2.71262i	−0.552833	−	0.369141i
$55$	−0.944345	−	0.0826195i	−0.127335	−	0.0111404i
$56$	4.78792	−	7.90697i	0.639813	−	1.05661i
$57$	−1.66006	−	2.37081i	−0.219880	−	0.314022i
$58$	−6.10008	−	6.95142i	−0.800980	−	0.912766i
$59$	2.59128	+	1.20834i	0.337356	+	0.157312i	0.583912	−	0.811817i	$-0.301521\pi$
$59$	2.59128	+	1.20834i	0.337356	+	0.157312i	−0.246556	+	0.969129i	$0.579299\pi$
$60$	3.54293	−	1.84715i	0.457390	−	0.238466i
$61$	−1.59922	+	2.28392i	−0.204759	+	0.292426i	−0.908377	−	0.418153i	$-0.862678\pi$
$61$	−1.59922	+	2.28392i	−0.204759	+	0.292426i	0.703618	+	0.710578i	$0.251567\pi$
$62$	0.102502	−	0.302272i	0.0130178	−	0.0383886i
$63$	−7.42265	−	4.28547i	−0.935166	−	0.539918i
$64$	7.39677	+	3.04759i	0.924596	+	0.380949i
$65$	22.6242	+	3.98926i	2.80619	+	0.494807i
$66$	0.204190	−	0.149817i	0.0251341	−	0.0184412i
$67$	1.04070	−	2.85930i	0.127142	−	0.349319i	−0.859747	−	0.510720i	$-0.829379\pi$
$67$	1.04070	−	2.85930i	0.127142	−	0.349319i	0.986889	+	0.161401i	$0.0516011\pi$
$68$	0.00250901	−	0.0583029i	0.000304262	−	0.00707027i
$69$	−1.03842	−	2.22690i	−0.125011	−	0.268087i
$70$	12.8468	−	7.80111i	1.53548	−	0.932410i
$71$	9.28166	+	11.0614i	1.10153	+	1.31275i	0.945726	+	0.324964i	$0.105352\pi$
$71$	9.28166	+	11.0614i	1.10153	+	1.31275i	0.155804	+	0.987788i	$0.450203\pi$
$72$	2.68201	−	6.91599i	0.316078	−	0.815058i
$73$		−	5.54963i		−	0.649535i	−0.945794	−	0.324768i	$-0.894714\pi$
$73$		−	5.54963i		−	0.649535i	0.945794	−	0.324768i	$-0.105286\pi$
$74$	−4.41338	−	7.38391i	−0.513045	−	0.858362i
$75$	3.42498			0.395482
$76$	6.36132	−	6.95089i	0.729694	−	0.797322i
$77$	0.729784	−	0.612361i	0.0831666	−	0.0697850i
$78$	−5.24608	+	3.18564i	−0.594001	+	0.360703i
$79$	−8.54328	+	3.98380i	−0.961194	+	0.448212i	−0.838902	−	0.544282i	$-0.816802\pi$
$79$	−8.54328	+	3.98380i	−0.961194	+	0.448212i	−0.122292	+	0.992494i	$0.539024\pi$
$80$	8.37370	+	9.95406i	0.936208	+	1.11290i
$81$	−5.39930	−	1.96519i	−0.599922	−	0.218354i
$82$	−2.00345	−	2.73057i	−0.221244	−	0.301541i
$83$	−2.42828	+	13.7715i	−0.266538	+	1.51161i	0.498080	+	0.867131i	$0.334039\pi$
$83$	−2.42828	+	13.7715i	−0.266538	+	1.51161i	−0.764618	+	0.644483i	$0.777073\pi$
$84$	−1.20506	+	3.83031i	−0.131482	+	0.417921i
$85$	0.0474433	−	0.0821743i	0.00514595	−	0.00891305i
$86$	−4.15274	+	12.2462i	−0.447802	+	1.32054i
$87$	3.29093	+	2.30433i	0.352825	+	0.247051i
$88$	0.620399	+	0.543046i	0.0661347	+	0.0578889i
$89$	4.10515	−	8.80353i	0.435145	−	0.933173i	−0.559403	−	0.828896i	$-0.688970\pi$
$89$	4.10515	−	8.80353i	0.435145	−	0.933173i	0.994548	−	0.104277i	$-0.0332527\pi$
$90$	9.06559	−	7.95533i	0.955597	−	0.838565i
$91$	−18.9121	+	13.2424i	−1.98253	+	1.38818i
$92$	6.34323	−	4.87364i	0.661328	−	0.508112i
$93$	−0.0120842	+	0.138123i	−0.00125307	+	0.0143227i
$94$	8.00736	+	5.34673i	0.825897	+	0.551473i
$95$	14.3966	−	5.23993i	1.47706	−	0.537605i
$96$	−3.43555	−	0.523282i	−0.350640	−	0.0534073i
$97$	−0.273354	+	1.02017i	−0.0277549	+	0.103583i	−0.978414	−	0.206655i	$-0.933742\pi$
$97$	−0.273354	+	1.02017i	−0.0277549	+	0.103583i	0.950659	+	0.310238i	$0.100409\pi$
$98$	−1.23559	+	5.05630i	−0.124814	+	0.510763i
$99$	0.491409	−	0.585638i	0.0493884	−	0.0588588i
$100$	2.42017	+	10.8845i	0.242017	+	1.08845i
$101$	−3.08839	−	5.34925i	−0.307306	−	0.532270i	0.670466	−	0.741940i	$-0.266094\pi$
$101$	−3.08839	−	5.34925i	−0.307306	−	0.532270i	−0.977772	+	0.209670i	$0.932761\pi$
$102$	0.00495333	+	0.0248614i	0.000490453	+	0.00246165i
$103$	12.4579	−	3.33808i	1.22751	−	0.328911i	0.413902	−	0.910322i	$-0.364166\pi$
$103$	12.4579	−	3.33808i	1.22751	−	0.328911i	0.813610	+	0.581411i	$0.197499\pi$
$104$	−13.8309	−	14.4208i	−1.35623	−	1.41408i
$105$	−4.61665	+	4.61665i	−0.450539	+	0.450539i
$106$	1.03292	−	1.07968i	0.100326	−	0.104868i
$107$	−1.95941	−	11.1124i	−0.189424	−	1.07427i	−0.920139	−	0.391592i	$-0.871924\pi$
$107$	−1.95941	−	11.1124i	−0.189424	−	1.07427i	0.730715	−	0.682683i	$-0.239187\pi$
$108$	−0.897424	+	6.84973i	−0.0863546	+	0.659115i
$109$	19.1210	−	1.67287i	1.83146	−	0.160232i	0.881412	−	0.472349i	$-0.156594\pi$
$109$	19.1210	−	1.67287i	1.83146	−	0.160232i	0.950044	+	0.312117i	$0.101038\pi$
$110$	0.486278	+	1.24930i	0.0463648	+	0.119117i
$111$	2.62377	+	2.66076i	0.249038	+	0.252549i
$112$	−13.0241	−	1.12304i	−1.23066	−	0.106117i
$113$	−13.4786	+	1.17922i	−1.26796	+	0.110932i	−0.701207	−	0.712957i	$-0.747355\pi$
$113$	−13.4786	+	1.17922i	−1.26796	+	0.110932i	−0.566751	+	0.823889i	$0.691800\pi$
$114$	−1.96759	+	3.58911i	−0.184282	+	0.336151i
$115$	12.8091	−	2.25858i	1.19445	−	0.210614i
$116$	−4.99765	+	12.0868i	−0.464020	+	1.12223i
$117$	−13.1007	+	13.1007i	−1.21116	+	1.21116i
$118$	−0.0894725	−	4.04248i	−0.00823661	−	0.372140i
$119$	0.0246806	+	0.0921091i	0.00226246	+	0.00844363i
$120$	−4.55998	−	3.33694i	−0.416267	−	0.304620i
$121$	−5.45751	−	9.45269i	−0.496138	−	0.859335i
$122$	3.89734	+	0.598609i	0.352848	+	0.0541955i
$123$	1.12699	+	0.945654i	0.101617	+	0.0852668i
$124$	−0.447488	+	0.0591978i	−0.0401856	+	0.00531612i
$125$	−0.484076	+	1.80660i	−0.0432971	+	0.161587i
$126$	−0.788977	+	12.0954i	−0.0702876	+	1.07755i
$127$	−2.56984	−	7.06057i	−0.228036	−	0.626524i	0.771922	−	0.635718i	$-0.219296\pi$
$127$	−2.56984	−	7.06057i	−0.228036	−	0.626524i	−0.999958	+	0.00919352i	$0.997074\pi$
$128$	−0.764673	−	11.2878i	−0.0675882	−	0.997713i
$129$	0.489575	−	5.59587i	0.0431047	−	0.492689i
$130$	−9.10114	−	31.1883i	−0.798223	−	2.73539i
$131$	9.07955	+	12.9669i	0.793284	+	1.13293i	0.988359	+	0.152139i	$0.0486160\pi$
$131$	9.07955	+	12.9669i	0.793284	+	1.13293i	−0.195075	+	0.980788i	$0.562495\pi$
$132$	−0.317794	−	0.165180i	−0.0276604	−	0.0143771i
$133$	−6.50692	+	13.9541i	−0.564222	+	1.20998i
$134$	−4.27745	+	0.469811i	−0.369516	+	0.0405855i
$135$	−6.44278	+	9.20124i	−0.554506	+	0.791917i
$136$	−0.0755086	+	0.0333092i	−0.00647481	+	0.00285624i
$137$	−0.242263	+	0.419612i	−0.0206979	+	0.0358499i	−0.876189	−	0.481968i	$-0.839922\pi$
$137$	−0.242263	+	0.419612i	−0.0206979	+	0.0358499i	0.855491	+	0.517818i	$0.173255\pi$
$138$	−2.17416	+	2.71068i	−0.185077	+	0.230749i
$139$	−18.0093	−	3.17552i	−1.52753	−	0.269344i	−0.654141	−	0.756373i	$-0.726970\pi$
$139$	−18.0093	−	3.17552i	−1.52753	−	0.269344i	−0.873386	+	0.487029i	$0.838081\pi$
$140$	−17.9338	−	11.4093i	−1.51568	−	0.964263i
$141$	−3.93029	−	1.43051i	−0.330991	−	0.120471i
$142$	8.21857	−	18.6940i	0.689687	−	1.56876i
$143$	−0.870304	−	1.86637i	−0.0727785	−	0.156074i
$144$	−10.4493	+	0.927375i	−0.870777	+	0.0772812i
$145$	−16.2911	+	13.6698i	−1.35290	+	1.13522i
$146$	−7.03790	+	3.47344i	−0.582460	+	0.287464i
$147$		−	2.26107i		−	0.186490i
$148$	−6.60180	+	10.2184i	−0.542664	+	0.839950i
$149$		−	4.46709i		−	0.365958i	−0.983117	−	0.182979i	$-0.941426\pi$
$149$		−	4.46709i		−	0.365958i	0.983117	−	0.182979i	$-0.0585741\pi$
$150$	−2.14365	−	4.34347i	−0.175028	−	0.354643i
$151$	3.72039	−	3.12178i	0.302761	−	0.254047i	−0.478731	−	0.877961i	$-0.658903\pi$
$151$	3.72039	−	3.12178i	0.302761	−	0.254047i	0.781492	+	0.623915i	$0.214459\pi$
$152$	−12.7964	−	3.71679i	−1.03793	−	0.301471i
$153$	0.0323402	+	0.0693537i	0.00261455	+	0.00560691i
$154$	−1.23334	−	0.542223i	−0.0993856	−	0.0436936i
$155$	−0.689680	−	0.251023i	−0.0553965	−	0.0201627i
$156$	7.32341	+	4.65908i	0.586342	+	0.373025i
$157$	9.56674	+	1.68687i	0.763509	+	0.134627i	0.541825	−	0.840491i	$-0.317734\pi$
$157$	9.56674	+	1.68687i	0.763509	+	0.134627i	0.221684	+	0.975119i	$0.428845\pi$
$158$	10.3993	+	8.34096i	0.827322	+	0.663571i
$159$	−0.324538	+	0.562116i	−0.0257375	+	0.0445787i
$160$	7.38249	−	16.8494i	0.583637	−	1.33206i
$161$	−7.49740	+	10.7074i	−0.590878	+	0.843861i
$162$	0.887159	+	8.07724i	0.0697018	+	0.634608i
$163$	5.23811	−	11.2332i	0.410281	−	0.879849i	−0.587236	−	0.809416i	$-0.699784\pi$
$163$	5.23811	−	11.2332i	0.410281	−	0.879849i	0.997516	−	0.0704337i	$-0.0224383\pi$
$164$	−2.20890	+	4.24975i	−0.172486	+	0.331850i
$165$	−0.334026	−	0.477038i	−0.0260039	−	0.0371374i
$166$	18.9844	−	5.53990i	1.47348	−	0.429980i
$167$	0.764815	−	8.74187i	0.0591831	−	0.676466i	−0.907426	−	0.420212i	$-0.861956\pi$
$167$	0.764815	−	8.74187i	0.0591831	−	0.676466i	0.966609	−	0.256255i	$-0.0824886\pi$
$168$	5.61173	−	0.869120i	0.432954	−	0.0670540i
$169$	12.6228	+	34.6809i	0.970985	+	2.66776i
$170$	−0.133905	−	0.00873455i	−0.0102701	−	0.000669910i
$171$	−3.19785	+	11.9346i	−0.244546	+	0.912658i
$172$	18.1294	−	2.39833i	1.38236	−	0.182871i
$173$	−9.90626	−	8.31234i	−0.753159	−	0.631976i	0.183177	−	0.983080i	$-0.441362\pi$
$173$	−9.90626	−	8.31234i	−0.753159	−	0.631976i	−0.936336	+	0.351104i	$0.885806\pi$
$174$	0.862545	−	5.61573i	0.0653893	−	0.425727i
$175$	−9.11009	−	15.7791i	−0.688658	−	1.19279i
$176$	0.300377	−	1.12666i	0.0226418	−	0.0849251i
$177$	0.454608	+	1.69662i	0.0341704	+	0.127526i
$178$	−13.7338	+	0.303971i	−1.02939	+	0.0227836i
$179$	−8.63409	+	8.63409i	−0.645342	+	0.645342i	−0.951864	−	0.306522i	$-0.900835\pi$
$179$	−8.63409	+	8.63409i	−0.645342	+	0.645342i	0.306522	+	0.951864i	$0.400835\pi$
$180$	−15.7628	−	6.51760i	−1.17489	−	0.485793i
$181$	3.05810	−	0.539225i	0.227306	−	0.0400803i	−0.0588347	−	0.998268i	$-0.518738\pi$
$181$	3.05810	−	0.539225i	0.227306	−	0.0400803i	0.286141	+	0.958187i	$0.407627\pi$
$182$	28.6305	+	15.6956i	2.12224	+	1.16344i
$183$	−1.70633	+	0.149284i	−0.126135	+	0.0110354i
$184$	−10.1508	−	4.99397i	−0.748325	−	0.368160i
$185$	−17.1995	+	9.77025i	−1.26453	+	0.718323i
$186$	0.182727	−	0.0711244i	0.0133982	−	0.00521510i
$187$	−0.00847325		0.000741313i	−0.000619625		5.42102e-5i
$188$	1.76887	−	13.5012i	0.129008	−	0.984675i
$189$	−1.96022	−	11.1170i	−0.142585	−	0.808642i
$190$	−15.6558	−	14.9778i	−1.13579	−	1.08660i
$191$	−12.2376	+	12.2376i	−0.885484	+	0.885484i	−0.994085	−	0.108601i	$-0.965363\pi$
$191$	−12.2376	+	12.2376i	−0.885484	+	0.885484i	0.108601	+	0.994085i	$0.465363\pi$
$192$	1.48666	+	4.68439i	0.107290	+	0.338067i
$193$	22.7712	−	6.10152i	1.63910	−	0.439197i	0.682571	−	0.730819i	$-0.260862\pi$
$193$	22.7712	−	6.10152i	1.63910	−	0.439197i	0.956534	+	0.291622i	$0.0941950\pi$
$194$	1.46484	−	0.291852i	0.105170	−	0.0209537i
$195$	7.05658	+	12.2223i	0.505332	+	0.875261i
$196$	7.18560	−	1.59773i	0.513257	−	0.114123i
$197$	14.4132	−	17.1770i	1.02690	−	1.22381i	0.0525859	−	0.998616i	$-0.483254\pi$
$197$	14.4132	−	17.1770i	1.02690	−	1.22381i	0.974314	−	0.225195i	$-0.0723019\pi$
$198$	−1.05026	−	0.256648i	−0.0746385	−	0.0182392i
$199$	−3.72030	+	13.8844i	−0.263725	+	0.984236i	0.699301	+	0.714828i	$0.253495\pi$
$199$	−3.72030	+	13.8844i	−0.263725	+	0.984236i	−0.963026	+	0.269409i	$0.913172\pi$
$200$	12.2886	−	9.88165i	0.868938	−	0.698738i
$201$	1.75655	−	0.639334i	0.123898	−	0.0450951i
$202$	−4.85079	+	7.26464i	−0.341301	+	0.511139i
$203$	1.86271	−	21.2909i	0.130737	−	1.49433i
$204$	0.0284284	−	0.0218421i	0.00199038	−	0.00152925i
$205$	−6.37927	+	4.46681i	−0.445547	+	0.311976i
$206$	−12.0305	−	13.7095i	−0.838204	−	0.955186i
$207$	−4.43305	+	9.50671i	−0.308118	+	0.660762i
$208$	−9.63152	+	26.5658i	−0.667825	+	1.84200i
$209$	−1.12496	−	0.787708i	−0.0778154	−	0.0544869i
$210$	8.74421	+	2.96521i	0.603408	+	0.204619i
$211$	14.1195	−	24.4558i	0.972029	−	1.68360i	0.282619	−	0.959232i	$-0.408797\pi$
$211$	14.1195	−	24.4558i	0.972029	−	1.68360i	0.689410	−	0.724371i	$-0.257870\pi$
$212$	−2.01571	−	0.634166i	−0.138440	−	0.0435547i
$213$	−1.54039	+	8.73597i	−0.105546	+	0.598579i
$214$	−12.8661	+	9.43998i	−0.879506	+	0.645304i
$215$	27.9415	+	10.1699i	1.90560	+	0.693581i
$216$	9.24833	−	3.14907i	0.629269	−	0.214267i
$217$	0.668484	−	0.311719i	0.0453797	−	0.0211609i
$218$	−14.0891	−	23.2017i	−0.954231	−	1.57142i
$219$	2.61168	−	2.19146i	0.176481	−	0.148085i
$220$	1.27998	−	1.39861i	0.0862962	−	0.0942942i
$221$	0.206130			0.0138658
$222$	1.73212	−	4.99274i	0.116253	−	0.335091i
$223$			6.72975i			0.450657i	0.974283	+	0.225329i	$0.0723455\pi$
$223$			6.72975i			0.450657i	−0.974283	+	0.225329i	$0.927654\pi$
$224$	6.72742	+	17.2197i	0.449494	+	1.15054i
$225$	−9.39843	−	11.2006i	−0.626562	−	0.746707i
$226$	9.93153	+	16.3551i	0.660636	+	1.08793i
$227$	−2.55945	−	5.48877i	−0.169877	−	0.364302i	0.802876	−	0.596146i	$-0.203302\pi$
$227$	−2.55945	−	5.48877i	−0.169877	−	0.364302i	−0.972753	+	0.231844i	$0.925524\pi$
$228$	5.78310	+	0.248870i	0.382995	+	0.0164818i
$229$	−0.0543855	+	0.149423i	−0.00359390	+	0.00987415i	−0.941477	−	0.337078i	$-0.890561\pi$
$229$	−0.0543855	+	0.149423i	−0.00359390	+	0.00987415i	0.937883	+	0.346952i	$0.112783\pi$
$230$	−10.8813	−	14.8305i	−0.717492	−	0.977894i
$231$	0.576360	+	0.101628i	0.0379217	+	0.00668662i
$232$	18.4561	−	1.22707i	1.21170	−	0.0805613i
$233$	15.4381	+	8.91319i	1.01138	+	0.583923i	0.911596	−	0.411086i	$-0.134850\pi$
$233$	15.4381	+	8.91319i	1.01138	+	0.583923i	0.0997871	+	0.995009i	$0.468184\pi$
$234$	24.8136	+	8.41443i	1.62212	+	0.550068i
$235$	12.6991	−	18.1361i	0.828396	−	1.18307i
$236$	−5.07057	+	2.64360i	−0.330066	+	0.172084i
$237$	−5.24840	−	2.44737i	−0.340920	−	0.158974i
$238$	0.101363	−	0.0889492i	0.00657039	−	0.00576572i
$239$	−15.3313	−	21.8954i	−0.991699	−	1.41629i	−0.907600	−	0.419836i	$-0.862088\pi$
$239$	−15.3313	−	21.8954i	−0.991699	−	1.41629i	−0.0840991	−	0.996457i	$-0.526801\pi$
$240$	−1.37779	+	7.87140i	−0.0889357	+	0.508097i
$241$	9.48439	+	0.829777i	0.610944	+	0.0534506i	0.388429	−	0.921479i	$-0.373018\pi$
$241$	9.48439	+	0.829777i	0.610944	+	0.0534506i	0.222515	+	0.974929i	$0.428573\pi$
$242$	−8.57187	+	12.8374i	−0.551020	+	0.825219i
$243$	−4.75142	−	13.0544i	−0.304804	−	0.837442i
$244$	−1.68015	−	5.31716i	−0.107561	−	0.340396i
$245$	11.5611	+	3.09779i	0.738611	+	0.197910i
$246$	0.493887	−	2.02109i	0.0314891	−	0.128860i
$247$	25.4955	+	21.3933i	1.62224	+	1.36122i
$248$	0.355150	+	0.530442i	0.0225521	+	0.0336831i
$249$	−7.43980	+	4.29537i	−0.471478	+	0.272208i
$250$	2.59405	−	0.516833i	0.164062	−	0.0326874i
$251$	−0.456840	−	1.70495i	−0.0288355	−	0.107616i	0.950008	−	0.312225i	$-0.101074\pi$
$251$	−0.456840	−	1.70495i	−0.0288355	−	0.107616i	−0.978844	+	0.204609i	$0.934408\pi$
$252$	15.8329	−	6.56982i	0.997381	−	0.413860i
$253$	−0.824425	−	0.824425i	−0.0518312	−	0.0518312i
$254$	−7.34560	+	7.67812i	−0.460904	+	0.481768i
$255$	0.0574062	−	0.0101223i	0.00359491	−	0.000633880i
$256$	−13.8363	+	8.03465i	−0.864771	+	0.502166i
$257$	−1.47928	−	16.9082i	−0.0922748	−	1.05471i	−0.891302	−	0.453410i	$-0.850207\pi$
$257$	−1.47928	−	16.9082i	−0.0922748	−	1.05471i	0.799027	−	0.601295i	$-0.205348\pi$
$258$	−7.40295	+	2.88152i	−0.460888	+	0.179395i
$259$	5.27937	−	19.1653i	0.328044	−	1.19087i
$260$	−33.8559	+	31.0622i	−2.09965	+	1.92639i
$261$	−1.49479	−	17.0855i	−0.0925252	−	1.05757i
$262$	10.7616	−	19.6303i	0.664851	−	1.21276i
$263$	0.0594776	+	0.337314i	0.00366754	+	0.0207997i	0.986587	−	0.163239i	$-0.0521941\pi$
$263$	0.0594776	+	0.337314i	0.00366754	+	0.0207997i	−0.982919	+	0.184038i	$0.941083\pi$
$264$	−0.0105742	+	0.506402i	−0.000650800	+	0.0311669i
$265$	−2.42953	−	2.42953i	−0.149245	−	0.149245i
$266$	21.7689	−	0.481812i	1.33474	−	0.0295418i
$267$	5.76404	−	1.54447i	0.352753	−	0.0945200i
$268$	3.27301	+	5.13050i	0.199931	+	0.313395i
$269$	−9.44130	+	5.45094i	−0.575646	+	0.332350i	−0.759401	−	0.650623i	$-0.774508\pi$
$269$	−9.44130	+	5.45094i	−0.575646	+	0.332350i	0.183755	+	0.982972i	$0.441175\pi$
$270$	15.7012	+	2.41162i	0.955547	+	0.146767i
$271$	9.68686	−	11.5443i	0.588435	−	0.701269i	−0.386870	−	0.922134i	$-0.626444\pi$
$271$	9.68686	−	11.5443i	0.588435	−	0.701269i	0.975304	+	0.220865i	$0.0708881\pi$
$272$	0.0895017	+	0.0749102i	0.00542684	+	0.00454210i
$273$	−13.7000	−	3.67091i	−0.829163	−	0.222174i
$274$	0.683771	+	0.0446019i	0.0413081	+	0.00269450i
$275$	1.52716	−	0.555842i	0.0920913	−	0.0335185i
$276$	4.79840	+	1.06063i	0.288830	+	0.0638424i
$277$	2.50945	+	0.219548i	0.150778	+	0.0131914i	0.162295	−	0.986742i	$-0.448110\pi$
$277$	2.50945	+	0.219548i	0.150778	+	0.0131914i	−0.0115167	+	0.999934i	$0.503666\pi$
$278$	7.24467	+	24.8264i	0.434506	+	1.48899i
$279$	0.484859	−	0.339502i	0.0290277	−	0.0203254i
$280$	−3.24446	+	29.8841i	−0.193894	+	1.78592i
$281$	−17.5631	−	8.18982i	−1.04773	−	0.488564i	−0.178998	−	0.983849i	$-0.557286\pi$
$281$	−17.5631	−	8.18982i	−1.04773	−	0.488564i	−0.868730	+	0.495286i	$0.835063\pi$
$282$	0.645786	+	5.87964i	0.0384560	+	0.350127i
$283$	8.70905	+	6.09814i	0.517699	+	0.362497i	0.803036	−	0.595930i	$-0.203217\pi$
$283$	8.70905	+	6.09814i	0.517699	+	0.362497i	−0.285337	+	0.958427i	$0.592106\pi$
$284$	−28.8511	+	1.27775i	−1.71200	+	0.0758207i
$285$	8.15091	+	4.70593i	0.482818	+	0.278755i
$286$	−1.82217	+	2.27184i	−0.107747	+	0.134336i
$287$	1.35903	−	7.70746i	0.0802212	−	0.454957i
$288$	7.71617	+	12.6711i	0.454680	+	0.746653i
$289$	−5.81405	+	15.9740i	−0.342003	+	0.939646i
$290$	27.5321	+	12.1041i	1.61674	+	0.710779i
$291$	−0.588040	+	0.274208i	−0.0344715	+	0.0160743i
$292$	8.80986	+	6.75129i	0.515558	+	0.395089i
$293$	−11.1342	−	13.2692i	−0.650464	−	0.775193i	0.335520	−	0.942033i	$-0.391088\pi$
$293$	−11.1342	−	13.2692i	−0.650464	−	0.775193i	−0.985984	+	0.166840i	$0.946644\pi$
$294$	−2.86743	+	1.41517i	−0.167232	+	0.0825347i
$295$	−9.29784			−0.541341
$296$	17.0907	+	1.97664i	0.993378	+	0.114890i
$297$	1.00689			0.0584257
$298$	−5.66504	+	2.79589i	−0.328167	+	0.161962i
$299$	18.1622	+	21.6449i	1.05035	+	1.25176i
$300$	−4.16659	+	5.43704i	−0.240558	+	0.313908i
$301$	−27.0828	+	12.6289i	−1.56103	+	0.727919i
$302$	−6.28750	−	2.76422i	−0.361805	−	0.159063i
$303$	1.29782	−	3.56574i	0.0745580	−	0.204847i
$304$	3.29558	+	18.5544i	0.189014	+	1.06417i
$305$	1.57445	−	8.92916i	0.0901529	−	0.511282i
$306$	0.0677112	−	0.0844205i	0.00387079	−	0.00482600i
$307$	−7.36630	−	4.25293i	−0.420417	−	0.242728i	0.274839	−	0.961490i	$-0.411376\pi$
$307$	−7.36630	−	4.25293i	−0.420417	−	0.242728i	−0.695256	+	0.718763i	$0.744709\pi$
$308$	0.0843003	+	1.90346i	0.00480346	+	0.108460i
$309$	6.49033	+	4.54458i	0.369222	+	0.258532i
$310$	0.113321	+	1.03175i	0.00643622	+	0.0585993i
$311$	−25.3406	−	11.8165i	−1.43694	−	0.670054i	−0.460858	−	0.887474i	$-0.652458\pi$
$311$	−25.3406	−	11.8165i	−1.43694	−	0.670054i	−0.976078	+	0.217420i	$0.930236\pi$
$312$	1.32490	−	12.2034i	0.0750078	−	0.690882i
$313$	4.81943	−	3.37460i	0.272410	−	0.190744i	−0.429387	−	0.903121i	$-0.641270\pi$
$313$	4.81943	−	3.37460i	0.272410	−	0.190744i	0.701797	+	0.712377i	$0.252381\pi$
$314$	−3.84845	−	13.1881i	−0.217181	−	0.744246i
$315$	27.7662	+	2.42922i	1.56445	+	0.136871i
$316$	4.06901	−	18.4086i	0.228899	−	1.03556i
$317$	20.2860	−	7.38349i	1.13937	−	0.414698i	0.297687	−	0.954664i	$-0.403785\pi$
$317$	20.2860	−	7.38349i	1.13937	−	0.414698i	0.841687	+	0.539965i	$0.181563\pi$
$318$	0.915986	+	0.0597491i	0.0513659	+	0.00335056i
$319$	1.84136	+	0.493392i	0.103097	+	0.0276247i
$320$	−25.9886	+	1.18357i	−1.45281	+	0.0661634i
$321$	4.45580	−	5.31021i	0.248698	−	0.296387i
$322$	18.2714	+	2.80638i	1.01822	+	0.156394i
$323$	0.119048	−	0.0687326i	0.00662403	−	0.00382438i
$324$	9.68808	−	6.18051i	0.538227	−	0.343362i
$325$	−38.0433	+	10.1937i	−2.11027	+	0.565444i
$326$	−17.5241	+	0.387862i	−0.970569	+	0.0214817i
$327$	8.33781	+	8.33781i	0.461082	+	0.461082i
$328$	6.77195	+	0.141406i	0.373918	+	0.00780783i
$329$	3.86371	+	21.9122i	0.213013	+	1.20806i
$330$	−0.395905	+	0.722175i	−0.0217938	+	0.0397544i
$331$	0.802401	+	9.17149i	0.0441040	+	0.504111i	0.985832	+	0.167735i	$0.0536454\pi$
$331$	0.802401	+	9.17149i	0.0441040	+	0.504111i	−0.941728	+	0.336375i	$0.890799\pi$
$332$	−18.9077	−	20.6082i	−1.03769	−	1.13102i
$333$	1.50156	−	15.8818i	0.0822852	−	0.870318i
$334$	−11.5649	+	4.50151i	−0.632803	+	0.246312i
$335$	0.862409	+	9.85738i	0.0471184	+	0.538566i
$336$	−4.61450	−	6.57267i	−0.251742	−	0.358569i
$337$	1.81135	−	0.319390i	0.0986705	−	0.0173983i	−0.124095	−	0.992270i	$-0.539603\pi$
$337$	1.81135	−	0.319390i	0.0986705	−	0.0173983i	0.222765	+	0.974872i	$0.428492\pi$
$338$	36.0809	−	37.7142i	1.96254	−	2.05138i
$339$	−5.87742	−	5.87742i	−0.319218	−	0.319218i
$340$	0.0727328	+	0.175282i	0.00394449	+	0.00950601i
$341$	0.0170278	+	0.0635486i	0.000922107	+	0.00344135i
$342$	17.1366	−	3.41425i	0.926641	−	0.184622i
$343$	9.39494	−	5.42417i	0.507279	−	0.292878i
$344$	−14.3885	−	21.4902i	−0.775775	−	1.15867i
$345$	6.12099	+	5.13612i	0.329543	+	0.276519i
$346$	−4.34129	+	17.7655i	−0.233389	+	0.955077i
$347$	14.5557	+	3.90018i	0.781389	+	0.209372i	0.627397	−	0.778700i	$-0.284120\pi$
$347$	14.5557	+	3.90018i	0.781389	+	0.209372i	0.153992	+	0.988072i	$0.450787\pi$
$348$	−7.66157	+	2.42096i	−0.410703	+	0.129777i
$349$	−2.51767	−	6.91725i	−0.134768	−	0.370272i	0.853891	−	0.520453i	$-0.174237\pi$
$349$	−2.51767	−	6.91725i	−0.134768	−	0.370272i	−0.988659	+	0.150180i	$0.952015\pi$
$350$	−14.3088	+	21.4291i	−0.764837	+	1.14544i
$351$	−24.3087	−	2.12674i	−1.29750	−	0.113517i
$352$	−1.61680	+	0.324232i	−0.0861758	+	0.0172816i
$353$	11.8102	+	16.8668i	0.628596	+	0.897728i	0.999521	−	0.0309349i	$-0.00984844\pi$
$353$	11.8102	+	16.8668i	0.628596	+	0.897728i	−0.370926	+	0.928663i	$0.620960\pi$
$354$	1.86708	−	1.63842i	0.0992340	−	0.0870808i
$355$	−42.5576	−	19.8449i	−2.25872	−	1.05326i
$356$	8.98128	+	17.2266i	0.476007	+	0.913006i
$357$	−0.0336010	+	0.0479872i	−0.00177835	+	0.00253975i
$358$	16.3535	+	5.54556i	0.864309	+	0.293092i
$359$	29.5841	+	17.0804i	1.56139	+	0.901469i	0.997117	+	0.0758800i	$0.0241766\pi$
$359$	29.5841	+	17.0804i	1.56139	+	0.901469i	0.564272	+	0.825589i	$0.309157\pi$
$360$	1.60027	+	24.0692i	0.0843416	+	1.26856i
$361$	3.14677	+	0.554861i	0.165620	+	0.0292032i
$362$	−2.59785	−	3.54070i	−0.136540	−	0.186095i
$363$	2.29339	−	6.30104i	0.120372	−	0.330719i
$364$	1.98526	−	46.1322i	0.104056	−	2.41798i
$365$	7.62703	+	16.3562i	0.399217	+	0.856124i
$366$	1.25729	+	2.07048i	0.0657194	+	0.108226i
$367$	−9.27761	−	11.0566i	−0.484287	−	0.577151i	0.467468	−	0.884010i	$-0.345166\pi$
$367$	−9.27761	−	11.0566i	−0.484287	−	0.577151i	−0.951755	+	0.306859i	$0.900722\pi$
$368$	0.0200205	+	15.9986i	0.00104364	+	0.833985i
$369$		−	6.28051i		−	0.326950i
$370$	23.1553	+	15.6969i	1.20379	+	0.816041i
$371$	3.45295			0.179268
$372$	−0.204565	−	0.187214i	−0.0106062	−	0.00970657i
$373$	−17.8547	+	14.9819i	−0.924481	+	0.775732i	−0.974818	−	0.223000i	$-0.928415\pi$
$373$	−17.8547	+	14.9819i	−0.924481	+	0.775732i	0.0503369	+	0.998732i	$0.483970\pi$
$374$	0.00624341	+	0.0102816i	0.000322839	+	0.000531647i
$375$	−1.04135	+	0.485587i	−0.0537748	+	0.0250756i
$376$	−18.2290	+	6.20698i	−0.940087	+	0.320101i
$377$	−43.4127	−	15.8009i	−2.23587	−	0.813790i
$378$	−12.8714	+	9.44389i	−0.662033	+	0.485741i
$379$	−3.29261	+	18.6733i	−0.169130	+	0.959184i	0.775573	+	0.631258i	$0.217461\pi$
$379$	−3.29261	+	18.6733i	−0.169130	+	0.959184i	−0.944703	+	0.327926i	$0.893650\pi$
$380$	−9.19566	+	29.2287i	−0.471727	+	1.49940i
$381$	2.30795	−	3.99748i	0.118240	−	0.204797i
$382$	23.1788	+	7.86007i	1.18593	+	0.402156i
$383$	−5.78568	−	4.05118i	−0.295634	−	0.207005i	0.416343	−	0.909207i	$-0.363311\pi$
$383$	−5.78568	−	4.05118i	−0.295634	−	0.207005i	−0.711978	+	0.702202i	$0.752200\pi$
$384$	5.01015	−	4.81724i	0.255673	−	0.245829i
$385$	−1.30928	+	2.80775i	−0.0667269	+	0.143096i
$386$	−21.9900	−	25.0589i	−1.11926	−	1.27547i
$387$	−19.6435	+	13.7545i	−0.998533	+	0.699180i
$388$	−1.28695	−	1.67501i	−0.0653348	−	0.0850357i
$389$	−0.511140	+	5.84235i	−0.0259158	+	0.296219i	0.972165	+	0.234297i	$0.0752787\pi$
$389$	−0.511140	+	5.84235i	−0.0259158	+	0.296219i	−0.998081	+	0.0619224i	$0.980277\pi$
$390$	11.0834	−	16.5988i	0.561232	−	0.840512i
$391$	0.109666	−	0.0399150i	0.00554603	−	0.00201859i
$392$	−6.52357	−	8.11260i	−0.329490	−	0.409748i
$393$	−2.51693	+	9.39331i	−0.126962	+	0.473830i
$394$	−30.8045	−	7.52760i	−1.55191	−	0.379235i
$395$	19.7042	−	23.4826i	0.991428	−	1.18154i
$396$	0.331868	+	1.49254i	0.0166770	+	0.0750030i
$397$	−13.3314	−	23.0907i	−0.669084	−	1.15889i	−0.978161	−	0.207851i	$-0.933353\pi$
$397$	−13.3314	−	23.0907i	−0.669084	−	1.15889i	0.309076	−	0.951037i	$-0.399980\pi$
$398$	19.9363	−	3.97206i	0.999315	−	0.199101i
$399$	−9.13636	+	2.44808i	−0.457390	+	0.122557i
$400$	−20.2230	−	9.39933i	−1.01115	−	0.469966i
$401$	25.7777	−	25.7777i	1.28727	−	1.28727i	0.350839	−	0.936436i	$-0.385896\pi$
$401$	25.7777	−	25.7777i	1.28727	−	1.28727i	0.936436	−	0.350839i	$-0.114104\pi$
$402$	−1.91019	−	1.82747i	−0.0952717	−	0.0911457i
$403$	−0.276865	−	1.57018i	−0.0137916	−	0.0782162i
$404$	12.2489	+	1.60480i	0.609405	+	0.0798418i
$405$	18.6140	−	1.62851i	0.924936	−	0.0809214i
$406$	−28.1664	+	10.9634i	−1.39787	+	0.544107i
$407$	1.60173	+	0.760594i	0.0793949	+	0.0377012i
$408$	−0.0454926	−	0.0223814i	−0.00225222	−	0.00110804i
$409$	16.4677	−	1.44074i	0.814277	−	0.0712400i	0.327594	−	0.944819i	$-0.393762\pi$
$409$	16.4677	−	1.44074i	0.814277	−	0.0712400i	0.486683	+	0.873579i	$0.338207\pi$
$410$	9.65739	+	5.29430i	0.476945	+	0.261467i
$411$	−0.293137	+	0.0516880i	−0.0144594	+	0.00254958i
$412$	−9.85629	+	23.8374i	−0.485585	+	1.17438i
$413$	6.60725	−	6.60725i	0.325122	−	0.325122i
$414$	14.8308	−	0.328250i	0.728892	−	0.0161326i
$415$	−11.7698	−	43.9254i	−0.577755	−	2.15621i
$416$	39.7183	−	4.41274i	1.94735	−	0.216352i
$417$	−5.61716	−	9.72920i	−0.275073	−	0.476441i
$418$	−0.294850	+	1.91967i	−0.0144216	+	0.0938940i
$419$	15.0337	+	12.6147i	0.734443	+	0.616270i	0.931339	−	0.364154i	$-0.118642\pi$
$419$	15.0337	+	12.6147i	0.734443	+	0.616270i	−0.196896	+	0.980424i	$0.563086\pi$
$420$	−1.71249	−	12.9451i	−0.0835610	−	0.631655i
$421$	5.43168	−	20.2713i	0.264724	−	0.987963i	−0.697695	−	0.716395i	$-0.745791\pi$
$421$	5.43168	−	20.2713i	0.264724	−	0.987963i	0.962419	−	0.271568i	$-0.0875423\pi$
$422$	−39.8514	−	2.59948i	−1.93994	−	0.126541i
$423$	6.10690	+	16.7786i	0.296928	+	0.815802i
$424$	0.457377	+	2.95319i	0.0222122	+	0.143420i
$425$	−0.0141780	+	0.162055i	−0.000687732	+	0.00786082i
$426$	12.0428	−	3.51426i	0.583478	−	0.170266i
$427$	5.22642	+	7.46410i	0.252924	+	0.361213i
$428$	20.0242	+	10.4080i	0.967908	+	0.503092i
$429$	0.534654	−	1.14657i	0.0258133	−	0.0553569i
$430$	−4.59107	−	41.7999i	−0.221401	−	2.01577i
$431$	−9.57322	+	13.6720i	−0.461126	+	0.658556i	−0.980620	−	0.195918i	$-0.937231\pi$
$431$	−9.57322	+	13.6720i	−0.461126	+	0.658556i	0.519495	+	0.854474i	$0.326120\pi$
$432$	−9.78198	−	9.75753i	−0.470636	−	0.469459i
$433$	−6.89065	+	11.9349i	−0.331143	+	0.573557i	−0.982736	−	0.185012i	$-0.940768\pi$
$433$	−6.89065	+	11.9349i	−0.331143	+	0.573557i	0.651593	+	0.758569i	$0.274101\pi$
$434$	−0.813710	−	0.652653i	−0.0390593	−	0.0313284i
$435$	−12.8662	−	2.26865i	−0.616885	−	0.108773i
$436$	−20.6056	+	32.3890i	−0.986829	+	1.55115i
$437$	17.7068	+	6.44474i	0.847030	+	0.308294i
$438$	−4.41377	−	1.94046i	−0.210898	−	0.0927186i
$439$	3.34524	+	7.17389i	0.159660	+	0.342391i	0.969822	−	0.243815i	$-0.0783988\pi$
$439$	3.34524	+	7.17389i	0.159660	+	0.342391i	−0.810162	+	0.586206i	$0.800621\pi$
$440$	−2.57480	−	0.747865i	−0.122749	−	0.0356531i
$441$	−7.39431	+	6.20456i	−0.352110	+	0.295455i
$442$	−0.129014	−	0.261409i	−0.00613658	−	0.0124339i
$443$		−	7.89569i		−	0.375136i	−0.982252	−	0.187568i	$-0.939940\pi$
$443$		−	7.89569i		−	0.375136i	0.982252	−	0.187568i	$-0.0600604\pi$
$444$	−7.41578	+	0.928260i	−0.351937	+	0.0440533i
$445$			31.5882i			1.49742i
$446$	8.53449	−	4.21206i	0.404120	−	0.199447i
$447$	2.10223	−	1.76398i	0.0994321	−	0.0834334i
$448$	17.6270	−	19.3091i	0.832798	−	0.912272i
$449$	7.91282	+	16.9691i	0.373429	+	0.800821i	0.999774	+	0.0212747i	$0.00677246\pi$
$449$	7.91282	+	16.9691i	0.373429	+	0.800821i	−0.626345	+	0.779546i	$0.715450\pi$
$450$	−8.32196	+	18.9292i	−0.392301	+	0.892329i
$451$	0.655983	+	0.238758i	0.0308890	+	0.0112427i
$452$	14.5251	−	22.8314i	0.683204	−	1.07390i
$453$	2.93824	+	0.518092i	0.138051	+	0.0243421i
$454$	−5.35878	+	6.68118i	−0.251500	+	0.313563i
$455$	37.5395	−	65.0204i	1.75988	−	3.04820i
$456$	−3.30396	−	7.48974i	−0.154722	−	0.350739i
$457$	13.6580	−	19.5057i	0.638895	−	0.912436i	−0.360902	−	0.932604i	$-0.617531\pi$
$457$	13.6580	−	19.5057i	0.638895	−	0.912436i	0.999797	+	0.0201674i	$0.00641991\pi$
$458$	0.223534	−	0.0245517i	0.0104450	−	0.00114722i
$459$	−0.0425941	+	0.0913433i	−0.00198812	+	0.00426354i
$460$	−11.9972	+	23.0816i	−0.559371	+	1.07619i
$461$	4.79602	+	6.84943i	0.223373	+	0.319010i	0.915159	−	0.403093i	$-0.132065\pi$
$461$	4.79602	+	6.84943i	0.223373	+	0.319010i	−0.691786	+	0.722102i	$0.743176\pi$
$462$	−0.231855	−	0.794532i	−0.0107869	−	0.0369650i
$463$	−1.32839	+	15.1835i	−0.0617353	+	0.705638i	0.900756	+	0.434326i	$0.143013\pi$
$463$	−1.32839	+	15.1835i	−0.0617353	+	0.705638i	−0.962491	+	0.271313i	$0.912542\pi$
$464$	−13.1076	−	22.6375i	−0.608504	−	1.05092i
$465$	−0.154211	−	0.423691i	−0.00715137	−	0.0196482i
$466$	1.64096	−	25.1569i	0.0760162	−	1.16537i
$467$	5.94945	−	22.2037i	0.275308	−	1.02746i	−0.680327	−	0.732909i	$-0.738162\pi$
$467$	5.94945	−	22.2037i	0.275308	−	1.02746i	0.955635	−	0.294554i	$-0.0951711\pi$
$468$	−4.85957	−	36.7345i	−0.224634	−	1.69805i
$469$	−7.61771	−	6.39202i	−0.351753	−	0.295156i
$470$	−30.9480	−	4.75344i	−1.42752	−	0.219260i
$471$	2.98390	+	5.16827i	0.137491	+	0.238141i
$472$	6.52615	+	4.77576i	0.300391	+	0.219822i
$473$	−0.689860	−	2.57459i	−0.0317198	−	0.118380i
$474$	0.181218	+	8.18766i	0.00832362	+	0.376071i
$475$	−18.5725	+	18.5725i	−0.852167	+	0.852167i
$476$	−0.176245	−	0.0728739i	−0.00807817	−	0.00334017i
$477$	2.72883	−	0.481167i	0.124945	−	0.0220311i
$478$	−18.1715	+	33.1468i	−0.831143	+	1.51610i
$479$	−20.4431	+	1.78854i	−0.934070	+	0.0817205i	−0.544019	−	0.839073i	$-0.683098\pi$
$479$	−20.4431	+	1.78854i	−0.934070	+	0.0817205i	−0.390051	+	0.920793i	$0.627543\pi$
$480$	10.8446	−	3.17934i	0.494988	−	0.145116i
$481$	−37.0631	−	21.7457i	−1.68993	−	0.991517i
$482$	−4.88386	−	12.5472i	−0.222454	−	0.571510i
$483$	−7.99955	+	0.699870i	−0.363992	+	0.0318452i
$484$	21.6451	+	2.83585i	0.983867	+	0.128902i
$485$	−0.596407	−	3.38239i	−0.0270814	−	0.153587i
$486$	−13.5814	+	14.1962i	−0.616066	+	0.643954i
$487$	2.29590	−	2.29590i	0.104037	−	0.104037i	−0.653172	−	0.757209i	$-0.726562\pi$
$487$	2.29590	−	2.29590i	0.104037	−	0.104037i	0.757209	+	0.653172i	$0.226562\pi$
$488$	−5.69150	+	5.45867i	−0.257642	+	0.247102i
$489$	7.35482	−	1.97072i	0.332597	−	0.0891190i
$490$	−3.30741	−	16.6003i	−0.149414	−	0.749927i
$491$	13.7446	+	23.8064i	0.620286	+	1.07437i	0.989432	+	0.144996i	$0.0463168\pi$
$491$	13.7446	+	23.8064i	0.620286	+	1.07437i	−0.369146	+	0.929371i	$0.620350\pi$
$492$	−2.87221	+	0.638639i	−0.129489	+	0.0287921i
$493$	−0.122654	+	0.146173i	−0.00552406	+	0.00658332i
$494$	11.1731	−	45.7225i	0.502700	−	2.05715i
$495$	−0.643450	+	2.40139i	−0.0289209	+	0.107934i
$496$	0.450408	−	0.782389i	0.0202239	−	0.0351303i
$497$	44.3446	−	16.1401i	1.98913	−	0.723983i
$498$	10.1038	+	6.74654i	0.452760	+	0.302320i
$499$	−2.46261	+	28.1477i	−0.110241	+	1.26007i	0.716541	+	0.697544i	$0.245724\pi$
$499$	−2.46261	+	28.1477i	−0.110241	+	1.26007i	−0.826783	+	0.562521i	$0.809832\pi$
$500$	−2.27902	−	2.96623i	−0.101921	−	0.132654i
$501$	4.41598	−	3.09210i	0.197291	−	0.138145i
$502$	−1.87624	+	1.64646i	−0.0837409	+	0.0734851i
$503$	−7.36411	+	15.7924i	−0.328350	+	0.704148i	−0.999302	−	0.0373523i	$-0.988108\pi$
$503$	−7.36411	+	15.7924i	−0.328350	+	0.704148i	0.670953	+	0.741500i	$0.265885\pi$
$504$	−18.2413	−	15.9669i	−0.812532	−	0.711224i
$505$	16.4539	+	11.5212i	0.732191	+	0.512685i
$506$	−0.529517	+	1.56151i	−0.0235399	+	0.0694177i
$507$	−11.3364	+	19.6353i	−0.503468	+	0.872033i
$508$	14.3347	+	4.50986i	0.636000	+	0.200093i
$509$	0.575237	−	3.26233i	0.0254969	−	0.144600i	−0.969402	−	0.245480i	$-0.921055\pi$
$509$	0.575237	−	3.26233i	0.0254969	−	0.144600i	0.994899	+	0.100879i	$0.0321657\pi$
$510$	−0.0487666	−	0.0664656i	−0.00215942	−	0.00294315i
$511$	−17.0430	−	6.20315i	−0.753939	−	0.274411i
$512$	18.8493	+	12.5181i	0.833031	+	0.553227i
$513$	−14.7484	+	6.87730i	−0.651158	+	0.303640i
$514$	−20.5167	+	12.4586i	−0.904953	+	0.549526i
$515$	−32.1290	+	26.9594i	−1.41577	+	1.18798i
$516$	8.28768	+	7.58473i	0.364845	+	0.333899i
$517$	−1.98464			−0.0872842
$518$	−27.6092	+	5.30015i	−1.21308	+	0.232875i
$519$		−	7.94434i		−	0.348718i
$520$	60.5822	+	23.4937i	2.65671	+	1.03027i
$521$	−4.02864	−	4.80115i	−0.176498	−	0.210342i	0.670542	−	0.741872i	$-0.266062\pi$
$521$	−4.02864	−	4.80115i	−0.176498	−	0.210342i	−0.847040	+	0.531530i	$0.821617\pi$
$522$	−20.7318	+	12.5893i	−0.907408	+	0.551017i
$523$	−9.24384	−	19.8235i	−0.404205	−	0.866820i	−0.998061	−	0.0622484i	$-0.980173\pi$
$523$	−9.24384	−	19.8235i	−0.404205	−	0.866820i	0.593856	−	0.804571i	$-0.297605\pi$
$524$	−31.6301	−	1.36117i	−1.38177	−	0.0594632i
$525$	3.82830	−	10.5182i	0.167081	−	0.459051i
$526$	0.390547	−	0.286549i	0.0170286	−	0.0124941i
$527$	−0.00648534	−	0.00114354i	−0.000282506	−	4.98134e-5i
$528$	0.648825	−	0.303541i	0.0282365	−	0.0132099i
$529$	−6.06455	−	3.50137i	−0.263676	−	0.152234i
$530$	−1.56045	+	4.60167i	−0.0677817	+	0.199884i
$531$	4.30093	−	6.14236i	0.186644	−	0.266556i
$532$	−14.2359	−	27.3052i	−0.617204	−	1.18383i
$533$	−15.3327	−	7.14974i	−0.664132	−	0.309690i
$534$	−5.56630	−	6.34314i	−0.240877	−	0.274494i
$535$	21.0470	+	30.0582i	0.909941	+	1.29953i
$536$	4.45784	−	7.36186i	0.192549	−	0.317984i
$537$	−7.47270	−	0.653777i	−0.322471	−	0.0282125i
$538$	12.8219	+	8.56154i	0.552793	+	0.369114i
$539$	−0.366950	−	1.00819i	−0.0158057	−	0.0434257i
$540$	−6.76885	−	21.4213i	−0.291285	−	0.921826i
$541$	0.846529	+	0.226827i	0.0363951	+	0.00975205i	0.276971	−	0.960878i	$-0.410670\pi$
$541$	0.846529	+	0.226827i	0.0363951	+	0.00975205i	−0.240576	+	0.970630i	$0.577336\pi$
$542$	−20.7031	−	5.05916i	−0.889275	−	0.217309i
$543$	1.46135	+	1.22622i	0.0627127	+	0.0526222i
$544$	0.0389812	−	0.160389i	0.00167130	−	0.00687663i
$545$	−54.0554	+	31.2089i	−2.31548	+	1.33684i
$546$	3.91932	+	19.6716i	0.167731	+	0.841866i
$547$	−4.12564	−	15.3971i	−0.176400	−	0.658332i	−0.996309	−	0.0858389i	$-0.972643\pi$
$547$	−4.12564	−	15.3971i	−0.176400	−	0.658332i	0.819909	−	0.572493i	$-0.194024\pi$
$548$	−0.371401	−	0.895056i	−0.0158654	−	0.0382349i
$549$	5.17050	+	5.17050i	0.220672	+	0.220672i
$550$	−1.66074	−	1.58881i	−0.0708140	−	0.0677472i
$551$	−30.3413	+	5.34999i	−1.29258	+	0.227917i
$552$	−1.65819	−	6.74904i	−0.0705774	−	0.287258i
$553$	2.68498	+	30.6895i	0.114177	+	1.30505i
$554$	−1.29221	−	3.31983i	−0.0549006	−	0.141046i
$555$	−11.3897	−	4.23604i	−0.483467	−	0.179810i
$556$	26.9499	−	24.7260i	1.14293	−	1.04862i
$557$	0.978917	+	11.1891i	0.0414781	+	0.474096i	0.988320	+	0.152396i	$0.0486989\pi$
$557$	0.978917	+	11.1891i	0.0414781	+	0.474096i	−0.946841	+	0.321701i	$0.895746\pi$
$558$	−0.734014	−	0.402395i	−0.0310733	−	0.0170348i
$559$	11.2168	+	63.6139i	0.474422	+	2.69058i
$560$	39.9289	−	14.5895i	1.68730	−	0.616521i
$561$	−0.00369481	−	0.00369481i	−0.000155995	−	0.000155995i
$562$	0.606424	+	27.3990i	0.0255805	+	1.15576i
$563$	−21.1160	+	5.65801i	−0.889932	+	0.238457i	−0.674687	−	0.738104i	$-0.735722\pi$
$563$	−21.1160	+	5.65801i	−0.889932	+	0.238457i	−0.215245	+	0.976560i	$0.569055\pi$
$564$	7.05221	−	4.49896i	0.296952	−	0.189440i
$565$	38.1043	−	21.9995i	1.60306	−	0.925526i
$566$	2.28262	−	14.8613i	0.0959456	−	0.624668i
$567$	−12.0702	+	14.3848i	−0.506903	+	0.604103i
$568$	19.6780	+	35.7885i	0.825669	+	1.50165i
$569$	−4.84378	−	1.29789i	−0.203062	−	0.0544102i	0.155854	−	0.987780i	$-0.450187\pi$
$569$	−4.84378	−	1.29789i	−0.203062	−	0.0544102i	−0.358916	+	0.933370i	$0.616854\pi$
$570$	0.866386	−	13.2822i	0.0362889	−	0.556328i
$571$	−15.8076	+	5.75348i	−0.661525	+	0.240776i	−0.650895	−	0.759168i	$-0.725606\pi$
$571$	−15.8076	+	5.75348i	−0.661525	+	0.240776i	−0.0106306	+	0.999943i	$0.503384\pi$
$572$	4.02156	+	0.888918i	0.168150	+	0.0371675i
$573$	−10.5915	−	0.926639i	−0.442467	−	0.0387109i
$574$	−10.6250	+	3.10051i	−0.443479	+	0.129413i
$575$	−18.2660	+	12.7900i	−0.761744	+	0.533379i
$576$	11.2397	−	17.7161i	0.468322	−	0.738173i
$577$	40.8989	+	19.0715i	1.70264	+	0.793956i	0.996286	+	0.0861023i	$0.0274412\pi$
$577$	40.8989	+	19.0715i	1.70264	+	0.793956i	0.706359	+	0.707854i	$0.250337\pi$
$578$	23.8967	−	2.62468i	0.993972	−	0.109172i
$579$	11.8634	+	8.30682i	0.493025	+	0.345220i
$580$	−1.88185	−	42.4913i	−0.0781395	−	1.76435i
$581$	39.5782	+	22.8505i	1.64198	+	0.947998i
$582$	0.715790	+	0.574114i	0.0296704	+	0.0237978i
$583$	−0.0534820	+	0.303311i	−0.00221500	+	0.0125619i
$584$	3.04783	−	15.3980i	0.126120	−	0.637173i
$585$	20.6066	−	56.6161i	0.851977	−	2.34079i
$586$	−9.85888	+	22.4250i	−0.407267	+	0.926370i
$587$	−24.0765	+	11.2270i	−0.993742	+	0.463390i	−0.850317	−	0.526271i	$-0.823590\pi$
$587$	−24.0765	+	11.2270i	−0.993742	+	0.463390i	−0.143426	+	0.989661i	$0.545812\pi$
$588$	3.58938	+	2.75066i	0.148023	+	0.113435i
$589$	−0.683466	−	0.814523i	−0.0281617	−	0.0335619i
$590$	5.81940	+	11.7913i	0.239581	+	0.485439i
$591$	13.7751			0.566633
$592$	−8.19015	−	22.9112i	−0.336613	−	0.941643i
$593$	−1.66886			−0.0685320			−0.0342660	−	0.999413i	$-0.510909\pi$
$593$	−1.66886			−0.0685320			−0.0342660	+	0.999413i	$0.510909\pi$
$594$	−0.630200	−	1.27691i	−0.0258574	−	0.0523924i
$595$	−0.199328	−	0.237550i	−0.00817167	−	0.00973862i
$596$	7.09136	+	5.43435i	0.290473	+	0.222599i
$597$	−8.00313	+	3.73192i	−0.327546	+	0.152737i
$598$	16.0820	−	36.5802i	0.657642	−	1.49587i
$599$	3.99615	−	10.9793i	0.163278	−	0.448604i	−0.830891	−	0.556436i	$-0.812169\pi$
$599$	3.99615	−	10.9793i	0.163278	−	0.448604i	0.994169	+	0.107832i	$0.0343908\pi$
$600$	9.50293	+	1.88098i	0.387955	+	0.0767907i
$601$	−1.21490	+	6.89003i	−0.0495568	+	0.281050i	−0.999509	−	0.0313461i	$-0.990021\pi$
$601$	−1.21490	+	6.89003i	−0.0495568	+	0.281050i	0.949952	+	0.312396i	$0.101132\pi$
$602$	32.9665	+	26.4414i	1.34361	+	1.07767i
$603$	−6.91093	−	3.99003i	−0.281435	−	0.162486i
$604$	0.429758	+	9.70374i	0.0174866	+	0.394840i
$605$	29.0758	+	20.3591i	1.18210	+	0.827716i
$606$	−5.33427	+	0.585887i	−0.216690	+	0.0238000i
$607$	38.4061	+	17.9091i	1.55886	+	0.726907i	0.995085	−	0.0990241i	$-0.0315721\pi$
$607$	38.4061	+	17.9091i	1.55886	+	0.726907i	0.563771	+	0.825931i	$0.309350\pi$
$608$	21.4675	−	15.7923i	0.870622	−	0.640463i
$609$	10.7551	−	7.53082i	0.435820	−	0.305164i
$610$	−12.3092	+	3.59197i	−0.498383	+	0.145435i
$611$	47.9138	+	4.19192i	1.93839	+	0.169587i
$612$	−0.149440	−	0.0330319i	−0.00604074	−	0.00133523i
$613$	−14.3202	+	5.21213i	−0.578387	+	0.210516i	−0.614614	−	0.788828i	$-0.710688\pi$
$613$	−14.3202	+	5.21213i	−0.578387	+	0.210516i	0.0362269	+	0.999344i	$0.488466\pi$
$614$	−0.782987	+	12.0036i	−0.0315988	+	0.484426i
$615$	−4.62117	−	1.23824i	−0.186344	−	0.0499306i
$616$	2.36116	−	1.29826i	0.0951339	−	0.0523085i
$617$	7.94874	−	9.47293i	0.320004	−	0.381366i	−0.581931	−	0.813238i	$-0.697702\pi$
$617$	7.94874	−	9.47293i	0.320004	−	0.381366i	0.901935	+	0.431872i	$0.142147\pi$
$618$	1.70110	−	11.0753i	0.0684282	−	0.445512i
$619$	−24.9503	+	14.4051i	−1.00284	+	0.578989i	−0.909087	−	0.416607i	$-0.863219\pi$
$619$	−24.9503	+	14.4051i	−1.00284	+	0.578989i	−0.0937510	+	0.995596i	$0.529886\pi$
$620$	1.23751	−	0.789468i	0.0496995	−	0.0317058i
$621$	−13.3446	+	3.57567i	−0.535500	+	0.143487i
$622$	0.874968	+	39.5322i	0.0350830	+	1.58509i
$623$	−22.4472	−	22.4472i	−0.899330	−	0.899330i
$624$	−16.3053	+	5.95776i	−0.652734	+	0.238501i
$625$	3.78440	+	21.4624i	0.151376	+	0.858497i
$626$	−7.29600	−	3.99975i	−0.291607	−	0.159862i
$627$	−0.0735313	−	0.840466i	−0.00293656	−	0.0335650i
$628$	−14.3161	+	13.1348i	−0.571274	+	0.524134i
$629$	−0.136757	+	0.113131i	−0.00545286	+	0.00451083i
$630$	−14.2978	−	36.7327i	−0.569638	−	1.46347i
$631$	−3.67521	−	42.0079i	−0.146308	−	1.67231i	−0.614680	−	0.788776i	$-0.710715\pi$
$631$	−3.67521	−	42.0079i	−0.146308	−	1.67231i	0.468372	−	0.883531i	$-0.344841\pi$
$632$	−25.8920	+	6.36150i	−1.02993	+	0.253047i
$633$	17.0846	−	3.01247i	0.679050	−	0.119735i
$634$	−22.0603	−	21.1049i	−0.876126	−	0.838183i
$635$	17.2775	+	17.2775i	0.685638	+	0.685638i
$636$	−0.497532	−	1.19903i	−0.0197284	−	0.0475444i
$637$	6.72957	+	25.1151i	0.266635	+	0.995096i
$638$	−0.526780	−	2.64398i	−0.0208554	−	0.104676i
$639$	32.7960	−	18.9348i	1.29739	−	0.749048i
$640$	17.7669	+	32.2173i	0.702299	+	1.27350i
$641$	16.9103	+	14.1894i	0.667915	+	0.560447i	0.912447	−	0.409194i	$-0.134190\pi$
$641$	16.9103	+	14.1894i	0.667915	+	0.560447i	−0.244532	+	0.969641i	$0.578634\pi$
$642$	−9.52310	−	2.32713i	−0.375847	−	0.0918445i
$643$	1.83074	+	0.490545i	0.0721974	+	0.0193452i	0.294737	−	0.955578i	$-0.404768\pi$
$643$	1.83074	+	0.490545i	0.0721974	+	0.0193452i	−0.222540	+	0.974924i	$0.571435\pi$
$644$	−7.87684	−	24.9278i	−0.310391	−	0.982291i
$645$	6.24767	+	17.1653i	0.246002	+	0.675884i
$646$	−0.161676	−	0.107955i	−0.00636105	−	0.00424744i
$647$	29.7591	+	2.60359i	1.16995	+	0.102358i	0.655523	−	0.755175i	$-0.272448\pi$
$647$	29.7591	+	2.60359i	1.16995	+	0.102358i	0.514430	+	0.857533i	$0.328004\pi$
$648$	−13.9016	−	8.41787i	−0.546107	−	0.330685i
$649$	0.478051	+	0.682727i	0.0187651	+	0.0267994i
$650$	36.7382	+	41.8655i	1.44099	+	1.64210i
$651$	0.410670	+	0.191499i	0.0160954	+	0.00750542i
$652$	11.4600	+	21.9808i	0.448807	+	0.860835i
$653$	−13.8472	+	19.7758i	−0.541881	+	0.773887i	−0.992941	−	0.118607i	$-0.962157\pi$
$653$	−13.8472	+	19.7758i	−0.541881	+	0.773887i	0.451060	+	0.892494i	$0.351046\pi$
$654$	5.35526	−	15.7923i	0.209407	−	0.617529i
$655$	−44.5807	−	25.7387i	−1.74191	−	1.00569i
$656$	−4.05915	−	8.67651i	−0.158483	−	0.338761i
$657$	−14.3333	−	2.52735i	−0.559197	−	0.0986015i
$658$	25.3702	−	18.6144i	0.989034	−	0.725665i
$659$	−1.48986	+	4.09335i	−0.0580366	+	0.159454i	−0.965323	−	0.261060i	$-0.915928\pi$
$659$	−1.48986	+	4.09335i	−0.0580366	+	0.159454i	0.907286	+	0.420514i	$0.138150\pi$
$660$	1.16363	+	0.0500759i	0.0452944	+	0.00194920i
$661$	13.3102	+	28.5437i	0.517705	+	1.11022i	0.975264	+	0.221043i	$0.0709461\pi$
$661$	13.3102	+	28.5437i	0.517705	+	1.11022i	−0.457559	+	0.889179i	$0.651276\pi$
$662$	11.1288	−	6.75790i	0.432534	−	0.262653i
$663$	0.0813974	+	0.0970056i	0.00316121	+	0.00376739i
$664$	−14.3007	+	36.8767i	−0.554975	+	1.43109i
$665$		−	50.0692i		−	1.94160i
$666$	−21.0807	+	8.03598i	−0.816861	+	0.311388i
$667$	−26.1562			−1.01277
$668$	12.9470	+	11.8489i	0.500935	+	0.458447i
$669$	−3.16705	+	2.65747i	−0.122445	+	0.102744i
$670$	11.9611	−	7.26329i	0.462097	−	0.280605i
$671$	−0.736606	+	0.343485i	−0.0284364	+	0.0132601i
$672$	−5.44713	+	9.96575i	−0.210128	+	0.384437i
$673$	−11.4824	−	4.17927i	−0.442616	−	0.161099i	0.111092	−	0.993810i	$-0.464565\pi$
$673$	−11.4824	−	4.17927i	−0.442616	−	0.161099i	−0.553708	+	0.832711i	$0.686787\pi$
$674$	−1.53874	−	2.09720i	−0.0592701	−	0.0807813i
$675$	3.34399	−	18.9647i	0.128710	−	0.729952i
$676$	−70.4108	−	22.1520i	−2.70811	−	0.852001i
$677$	−14.8109	+	25.6532i	−0.569228	+	0.985932i	0.427414	+	0.904056i	$0.359425\pi$
$677$	−14.8109	+	25.6532i	−0.569228	+	0.985932i	−0.996643	+	0.0818762i	$0.973909\pi$
$678$	−3.77499	+	11.1322i	−0.144978	+	0.427529i
$679$	2.82742	+	1.97978i	0.108506	+	0.0759771i
$680$	0.176766	−	0.201945i	0.00677866	−	0.00774423i
$681$	1.57235	−	3.37192i	0.0602526	−	0.129212i
$682$	0.0699332	−	0.0613685i	0.00267788	−	0.00234992i
$683$	−11.4796	+	8.03810i	−0.439255	+	0.307569i	−0.772203	−	0.635376i	$-0.780845\pi$
$683$	−11.4796	+	8.03810i	−0.439255	+	0.307569i	0.332949	+	0.942945i	$0.391956\pi$
$684$	−15.0554	−	19.5952i	−0.575659	−	0.749243i
$685$	0.137327	−	1.56966i	0.00524700	−	0.0599735i
$686$	−12.7590	−	8.51950i	−0.487140	−	0.325276i
$687$	−0.0917951	+	0.0334107i	−0.00350220	+	0.00127470i
$688$	−18.2477	+	31.6975i	−0.695688	+	1.20846i
$689$	1.93183	−	7.20969i	0.0735969	−	0.274667i
$690$	2.68244	−	10.9771i	0.102119	−	0.417892i
$691$	17.3891	−	20.7235i	0.661512	−	0.788360i	−0.326090	−	0.945339i	$-0.605731\pi$
$691$	17.3891	−	20.7235i	0.661512	−	0.788360i	0.987602	+	0.156979i	$0.0501755\pi$
$692$	25.2468	−	5.61367i	0.959741	−	0.213400i
$693$	−1.24923	−	2.16373i	−0.0474543	−	0.0821932i
$694$	−4.16410	−	20.9002i	−0.158067	−	0.793360i
$695$	57.4423	−	15.3916i	2.17891	−	0.583837i
$696$	7.86548	+	8.20096i	0.298140	+	0.310857i
$697$	−0.0494095	+	0.0494095i	−0.00187152	+	0.00187152i
$698$	−7.19650	+	7.52227i	−0.272392	+	0.284722i
$699$	1.90167	+	10.7849i	0.0719278	+	0.407923i
$700$	36.1316	+	4.73381i	1.36564	+	0.178921i
$701$	27.0216	−	2.36409i	1.02059	−	0.0892903i	0.435444	−	0.900216i	$-0.356592\pi$
$701$	27.0216	−	2.36409i	1.02059	−	0.0892903i	0.585149	+	0.810926i	$0.301036\pi$
$702$	12.5175	+	32.1588i	0.472441	+	1.21376i
$703$	−28.6564	−	0.200583i	−1.08079	−	0.00756513i
$704$	1.42312	+	1.84745i	0.0536358	+	0.0696285i
$705$	13.5496	−	1.18544i	0.510308	−	0.0446461i
$706$	13.9981	−	25.5341i	0.526826	−	0.960990i
$707$	−19.8797	+	3.50533i	−0.747654	+	0.131832i
$708$	−3.24638	−	1.34231i	−0.122006	−	0.0504472i
$709$	11.8684	−	11.8684i	0.445728	−	0.445728i	−0.448204	−	0.893932i	$-0.647936\pi$
$709$	11.8684	−	11.8684i	0.445728	−	0.445728i	0.893932	+	0.448204i	$0.147936\pi$
$710$	1.46944	+	66.3911i	0.0551471	+	2.49161i
$711$	6.39848	+	23.8795i	0.239962	+	0.895550i
$712$	16.2250	−	22.1717i	0.608058	−	0.830920i
$713$	−0.451348	−	0.781758i	−0.0169031	−	0.0292771i
$714$	0.0818865	+	0.0125773i	0.00306453	+	0.000470694i
$715$	5.13003	+	4.30460i	0.191852	+	0.160983i
$716$	−3.20271	−	24.2100i	−0.119691	−	0.904769i
$717$	4.24997	−	15.8611i	0.158718	−	0.592344i
$718$	3.14459	−	48.2082i	0.117355	−	1.79911i
$719$	−11.1561	−	30.6511i	−0.416052	−	1.14309i	−0.953919	−	0.300064i	$-0.902992\pi$
$719$	−11.1561	−	30.6511i	−0.416052	−	1.14309i	0.537867	−	0.843029i	$-0.319230\pi$
$720$	29.5224	−	17.0940i	1.10023	−	0.637057i
$721$	3.67361	−	41.9896i	0.136812	−	1.56377i
$722$	−1.26587	−	4.33794i	−0.0471106	−	0.161441i
$723$	3.35474	+	4.79106i	0.124764	+	0.178182i
$724$	−2.86426	+	5.51061i	−0.106449	+	0.204800i
$725$	15.4084	−	33.0433i	0.572252	−	1.22720i
$726$	−9.42622	+	1.03532i	−0.349840	+	0.0384245i
$727$	2.53089	−	3.61448i	0.0938653	−	0.134054i	−0.769473	−	0.638680i	$-0.779481\pi$
$727$	2.53089	−	3.61448i	0.0938653	−	0.134054i	0.863338	+	0.504626i	$0.168370\pi$
$728$	−59.7462	+	26.3559i	−2.21434	+	0.976815i
$729$	−4.35152	+	7.53705i	−0.161167	+	0.279150i
$730$	15.9689	−	19.9096i	0.591034	−	0.736886i
$731$	0.262745	+	0.0463291i	0.00971799	+	0.00171354i
$732$	1.83881	−	2.89035i	0.0679645	−	0.106830i
$733$	−12.2079	−	4.44330i	−0.450908	−	0.164117i	0.106577	−	0.994304i	$-0.466011\pi$
$733$	−12.2079	−	4.44330i	−0.450908	−	0.164117i	−0.557484	+	0.830188i	$0.688233\pi$
$734$	−8.21498	+	18.6858i	−0.303220	+	0.689706i
$735$	3.10746	+	6.66396i	0.114620	+	0.245804i
$736$	20.2765	−	10.0387i	0.747402	−	0.370032i
$737$	0.679472	−	0.570145i	0.0250287	−	0.0210015i
$738$	−7.96478	+	3.93089i	−0.293188	+	0.144698i
$739$		−	19.8802i		−	0.731306i	−0.930751	−	0.365653i	$-0.880846\pi$
$739$		−	19.8802i		−	0.731306i	0.930751	−	0.365653i	$-0.119154\pi$
$740$	5.41372	−	39.1894i	0.199012	−	1.44063i
$741$			20.4462i			0.751108i
$742$	−2.16116	−	4.37894i	−0.0793386	−	0.160756i
$743$	−3.66739	+	3.07730i	−0.134543	+	0.112895i	−0.707576	−	0.706637i	$-0.750211\pi$
$743$	−3.66739	+	3.07730i	−0.134543	+	0.112895i	0.573033	+	0.819533i	$0.305767\pi$
$744$	−0.109385	+	0.376598i	−0.00401025	+	0.0138068i
$745$	6.13926	+	13.1657i	0.224925	+	0.482353i
$746$	30.1747	+	13.2659i	1.10477	+	0.485699i
$747$	34.4625	+	12.5433i	1.26092	+	0.458936i
$748$	0.00913115	−	0.0143528i	0.000333868	−	0.000524792i
$749$	−36.3165	−	6.40358i	−1.32698	−	0.233982i
$750$	1.26757	+	1.01668i	0.0462853	+	0.0371241i
$751$	1.79419	−	3.10762i	0.0654708	−	0.113399i	−0.831432	−	0.555627i	$-0.812478\pi$
$751$	1.79419	−	3.10762i	0.0654708	−	0.113399i	0.896903	+	0.442228i	$0.145812\pi$
$752$	19.2808	+	19.2326i	0.703099	+	0.701341i
$753$	0.621958	−	0.888249i	0.0226654	−	0.0323696i
$754$	7.13314	+	64.9445i	0.259774	+	2.36514i
$755$	−6.67461	+	14.3138i	−0.242914	+	0.520931i
$756$	20.0325	+	10.4124i	0.728576	+	0.378694i
$757$	−21.2755	−	30.3845i	−0.773270	−	1.10434i	−0.991710	−	0.128494i	$-0.958986\pi$
$757$	−21.2755	−	30.3845i	−0.773270	−	1.10434i	0.218440	−	0.975850i	$-0.429903\pi$
$758$	25.7418	−	7.51179i	0.934985	−	0.272841i
$759$	0.0624258	−	0.713530i	0.00226591	−	0.0258995i
$760$	42.8225	−	6.63216i	1.55333	−	0.240574i
$761$	−10.6859	−	29.3592i	−0.387363	−	1.06427i	−0.968184	−	0.250239i	$-0.919491\pi$
$761$	−10.6859	−	29.3592i	−0.387363	−	1.06427i	0.580822	−	0.814031i	$-0.302731\pi$
$762$	−6.51402	−	0.424905i	−0.235978	−	0.0153927i
$763$	16.2352	−	60.5907i	0.587755	−	2.19353i
$764$	−4.53941	−	34.3143i	−0.164230	−	1.24145i
$765$	−0.190630	−	0.159957i	−0.00689224	−	0.00578327i
$766$	−1.51641	+	9.87283i	−0.0547902	+	0.356720i
$767$	−10.0992	−	17.4924i	−0.364662	−	0.631613i
$768$	−9.24489	−	3.33869i	−0.333596	−	0.120474i
$769$	1.65951	+	6.19337i	0.0598434	+	0.223339i	0.989371	−	0.145414i	$-0.0464515\pi$
$769$	1.65951	+	6.19337i	0.0598434	+	0.223339i	−0.929527	+	0.368753i	$0.879785\pi$
$770$	4.38018	−	0.0969469i	0.157851	−	0.00349372i
$771$	7.37294	−	7.37294i	0.265530	−	0.265530i
$772$	−18.0158	+	43.5712i	−0.648404	+	1.56816i
$773$	−22.7771	+	4.01621i	−0.819234	+	0.144453i	−0.567532	−	0.823352i	$-0.692101\pi$
$773$	−22.7771	+	4.01621i	−0.819234	+	0.144453i	−0.251702	+	0.967805i	$0.580990\pi$
$774$	29.7377	+	16.3025i	1.06890	+	0.585983i
$775$	1.25348	−	0.109666i	0.0450265	−	0.00393931i
$776$	−1.31872	+	2.68044i	−0.0473393	+	0.0962222i
$777$	11.1040	−	5.08357i	0.398354	−	0.182372i
$778$	7.72903	−	3.00844i	0.277099	−	0.107858i
$779$	−11.2393	+	0.983309i	−0.402689	+	0.0352307i
$780$	−27.9871	−	3.66676i	−1.00210	−	0.131291i
$781$	0.730923	+	4.14527i	0.0261545	+	0.148329i
$782$	−0.119258	−	0.114093i	−0.00426464	−	0.00407995i
$783$	15.9726	−	15.9726i	0.570815	−	0.570815i
$784$	−6.20516	+	13.3506i	−0.221613	+	0.476807i
$785$	−30.5140	+	8.17620i	−1.08909	+	0.291821i
$786$	13.4877	−	2.68725i	0.481089	−	0.0958510i
$787$	9.35183	+	16.1978i	0.333357	+	0.577391i	0.983168	−	0.182705i	$-0.0584854\pi$
$787$	9.35183	+	16.1978i	0.333357	+	0.577391i	−0.649811	+	0.760096i	$0.725152\pi$
$788$	9.73384	+	43.7769i	0.346754	+	1.55949i
$789$	−0.135255	+	0.161190i	−0.00481520	+	0.00573853i
$790$	−42.1126	−	10.2909i	−1.49830	−	0.366135i
$791$	−11.4444	+	42.7111i	−0.406916	+	1.51863i
$792$	1.68509	−	1.35503i	0.0598771	−	0.0481489i
$793$	18.5089	−	6.73669i	0.657271	−	0.239227i
$794$	−20.9390	+	31.3587i	−0.743098	+	1.11288i
$795$	0.183965	−	2.10273i	0.00652456	−	0.0745761i
$796$	−17.5151	−	22.7966i	−0.620807	−	0.808004i
$797$	−12.3111	+	8.62033i	−0.436082	+	0.305348i	−0.770925	−	0.636926i	$-0.780206\pi$
$797$	−12.3111	+	8.62033i	−0.436082	+	0.305348i	0.334843	+	0.942274i	$0.391317\pi$
$798$	8.82292	+	10.0543i	0.312328	+	0.355917i
$799$	0.0839552	−	0.180043i	0.00297012	−	0.00636945i
$800$	0.737312	+	31.5291i	0.0260679	+	1.11472i
$801$	−20.8678	−	14.6118i	−0.737329	−	0.516283i
$802$	−48.8245	−	16.5566i	−1.72405	−	0.584635i
$803$	0.808868	−	1.40100i	0.0285443	−	0.0494402i
$804$	−1.12198	+	3.56624i	−0.0395692	+	0.125772i
$805$	7.38130	−	41.8614i	0.260157	−	1.47542i
$806$	−1.81797	+	1.33387i	−0.0640354	+	0.0469835i
$807$	−6.29345	−	2.29063i	−0.221540	−	0.0806340i
$808$	−5.63126	−	16.5381i	−0.198107	−	0.581810i
$809$	−10.1029	+	4.71108i	−0.355200	+	0.165633i	−0.592025	−	0.805920i	$-0.701671\pi$
$809$	−10.1029	+	4.71108i	−0.355200	+	0.165633i	0.236824	+	0.971553i	$0.423893\pi$
$810$	−13.7155	−	22.5865i	−0.481913	−	0.793608i
$811$	−36.4653	+	30.5980i	−1.28047	+	1.07444i	−0.287291	+	0.957843i	$0.592755\pi$
$811$	−36.4653	+	30.5980i	−1.28047	+	1.07444i	−0.993179	+	0.116598i	$0.962801\pi$
$812$	31.5325	+	28.8580i	1.10657	+	1.01272i
$813$	9.25800			0.324692
$814$	−0.0379386	−	2.50732i	−0.00132975	−	0.0878815i
$815$			40.3060i			1.41186i
$816$	8.97254e−5		0.0717007i	3.14102e−6		0.00251003i
$817$	27.6898	+	32.9994i	0.968743	+	1.15450i
$818$	−12.1341	−	19.9822i	−0.424257	−	0.698661i
$819$	25.5891	+	54.8761i	0.894157	+	1.91753i
$820$	0.669648	−	15.5609i	0.0233851	−	0.543410i
$821$	−3.31325	+	9.10308i	−0.115633	+	0.317700i	−0.983986	−	0.178248i	$-0.942957\pi$
$821$	−3.31325	+	9.10308i	−0.115633	+	0.317700i	0.868352	+	0.495948i	$0.165179\pi$
$822$	0.249020	+	0.339398i	0.00868558	+	0.0118379i
$823$	−17.9721	−	3.16896i	−0.626468	−	0.110463i	−0.148603	−	0.988897i	$-0.547478\pi$
$823$	−17.9721	−	3.16896i	−0.626468	−	0.110463i	−0.477864	+	0.878434i	$0.658589\pi$
$824$	36.3989	−	2.42002i	1.26801	−	0.0843053i
$825$	0.864633	+	0.499196i	0.0301027	+	0.0173798i
$826$	−12.5145	−	4.24375i	−0.435437	−	0.147659i
$827$	−1.88991	+	2.69907i	−0.0657187	+	0.0938560i	−0.850666	−	0.525706i	$-0.823801\pi$
$827$	−1.88991	+	2.69907i	−0.0657187	+	0.0938560i	0.784947	+	0.619562i	$0.212690\pi$
$828$	−9.69866	−	18.6025i	−0.337052	−	0.646482i
$829$	39.3607	+	18.3542i	1.36705	+	0.637468i	0.961043	−	0.276401i	$-0.0891417\pi$
$829$	39.3607	+	18.3542i	1.36705	+	0.637468i	0.406011	+	0.913868i	$0.366919\pi$
$830$	−48.3385	+	42.4185i	−1.67785	+	1.47237i
$831$	0.887621	+	1.26765i	0.0307912	+	0.0439744i
$832$	−30.4553	−	47.6078i	−1.05585	−	1.65050i
$833$	0.106984	+	0.00935988i	0.00370677	+	0.000324300i
$834$	−8.82261	+	13.2129i	−0.305502	+	0.457526i
$835$	9.76012	+	26.8157i	0.337763	+	0.927996i
$836$	2.61901	−	0.827574i	0.0905805	−	0.0286222i
$837$	0.753012	+	0.201769i	0.0260279	+	0.00697415i
$838$	6.58830	−	26.9607i	0.227589	−	0.931342i
$839$	36.5228	+	30.6463i	1.26091	+	1.05803i	0.995585	+	0.0938671i	$0.0299229\pi$
$839$	36.5228	+	30.6463i	1.26091	+	1.05803i	0.265322	+	0.964160i	$0.414522\pi$
$840$	−15.3448	+	10.2739i	−0.529445	+	0.354483i
$841$	11.9222	−	6.88330i	0.411111	−	0.237355i
$842$	−29.1072	+	5.79924i	−1.00310	+	0.199855i
$843$	−3.08123	−	11.4993i	−0.106123	−	0.396057i
$844$	21.6459	+	52.1655i	0.745082	+	1.79561i
$845$	−84.8657	−	84.8657i	−2.91947	−	2.91947i
$846$	17.4559	−	18.2461i	0.600147	−	0.627314i
$847$	−35.1296	+	6.19429i	−1.20707	+	0.212838i
$848$	3.45889	−	2.42840i	0.118779	−	0.0833916i
$849$	0.569251	+	6.50657i	0.0195366	+	0.223305i
$850$	0.214388	−	0.0834480i	0.00735343	−	0.00286224i
$851$	−23.9292	−	4.39228i	−0.820282	−	0.150565i
$852$	−11.9942	−	13.0729i	−0.410913	−	0.447870i
$853$	1.09433	+	12.5082i	0.0374691	+	0.428274i	0.991642	+	0.129019i	$0.0411827\pi$
$853$	1.09433	+	12.5082i	0.0374691	+	0.428274i	−0.954173	+	0.299255i	$0.903262\pi$
$854$	6.19462	−	11.2997i	0.211976	−	0.386667i
$855$	−6.97711	−	39.5692i	−0.238612	−	1.35324i
$856$	0.666285	−	31.9085i	0.0227731	−	1.09061i
$857$	−7.86696	−	7.86696i	−0.268730	−	0.268730i	0.559858	−	0.828588i	$-0.310856\pi$
$857$	−7.86696	−	7.86696i	−0.268730	−	0.268730i	−0.828588	+	0.559858i	$0.810856\pi$
$858$	−1.78868	+	0.0395890i	−0.0610646	+	0.00135155i
$859$	19.7684	−	5.29693i	0.674490	−	0.180729i	0.0947134	−	0.995505i	$-0.469807\pi$
$859$	19.7684	−	5.29693i	0.674490	−	0.180729i	0.579776	+	0.814776i	$0.303140\pi$
$860$	−50.1361	+	31.9843i	−1.70963	+	1.09066i
$861$	4.16382	−	2.40398i	0.141903	−	0.0819276i
$862$	23.3302	+	3.58339i	0.794630	+	0.122051i
$863$	2.59540	−	3.09308i	0.0883485	−	0.105290i	−0.720059	−	0.693913i	$-0.755885\pi$
$863$	2.59540	−	3.09308i	0.0883485	−	0.105290i	0.808408	+	0.588623i	$0.200330\pi$
$864$	−6.25182	+	18.5124i	−0.212691	+	0.629803i
$865$	40.6203	+	10.8842i	1.38113	+	0.370073i
$866$	19.4484	+	1.26860i	0.660882	+	0.0431089i
$867$	−9.81330	+	3.57175i	−0.333277	+	0.121303i
$868$	−0.318387	+	1.44041i	−0.0108067	+	0.0488908i
$869$	−2.73739	−	0.239491i	−0.0928596	−	0.00812416i
$870$	5.17572	+	17.7364i	0.175473	+	0.601322i
$871$	−17.6083	+	12.3295i	−0.596635	+	0.417768i
$872$	53.9717	+	5.85960i	1.82771	+	0.198431i
$873$	2.51037	+	1.17060i	0.0849630	+	0.0396189i
$874$	−2.90940	−	26.4889i	−0.0984118	−	0.896002i
$875$	5.00701	+	3.50595i	0.169268	+	0.118523i
$876$	0.301686	+	6.81193i	0.0101930	+	0.230154i
$877$	−13.6620	−	7.88777i	−0.461334	−	0.266351i	0.251271	−	0.967917i	$-0.419151\pi$
$877$	−13.6620	−	7.88777i	−0.461334	−	0.266351i	−0.712605	+	0.701566i	$0.752485\pi$
$878$	7.00400	−	8.73239i	0.236373	−	0.294704i
$879$	1.84783	−	10.4796i	0.0623257	−	0.353467i
$880$	0.663113	+	3.73338i	0.0223535	+	0.125852i
$881$	9.36191	−	25.7216i	0.315411	−	0.866584i	−0.676129	−	0.736783i	$-0.736344\pi$
$881$	9.36191	−	25.7216i	0.315411	−	0.866584i	0.991540	−	0.129801i	$-0.0414338\pi$
$882$	12.4965	+	5.49391i	0.420778	+	0.184990i
$883$	28.9860	−	13.5164i	0.975458	−	0.454864i	0.131525	−	0.991313i	$-0.458013\pi$
$883$	28.9860	−	13.5164i	0.975458	−	0.454864i	0.843933	+	0.536449i	$0.180235\pi$
$884$	−0.250763	+	0.327225i	−0.00843408	+	0.0110058i
$885$	−3.67157	−	4.37560i	−0.123418	−	0.147084i
$886$	−10.0131	+	4.94181i	−0.336397	+	0.166023i
$887$	−38.8413			−1.30416			−0.652081	−	0.758149i	$-0.726104\pi$
$887$	−38.8413			−1.30416			−0.652081	+	0.758149i	$0.726104\pi$
$888$	5.81864	+	8.82351i	0.195261	+	0.296098i
$889$	−24.5556			−0.823569
$890$	40.0593	−	19.7706i	1.34279	−	0.662713i
$891$	−1.07662	−	1.28307i	−0.0360682	−	0.0429844i
$892$	−10.6833	−	8.18694i	−0.357702	−	0.274119i
$893$	29.0699	−	13.5555i	0.972788	−	0.453618i
$894$	−3.55279	−	1.56194i	−0.118823	−	0.0522391i
$895$	13.5808	−	37.3130i	0.453957	−	1.24724i
$896$	−35.5199	−	10.2688i	−1.18664	−	0.343055i
$897$	−3.01421	+	17.0945i	−0.100642	+	0.570767i
$898$	16.5672	−	20.6556i	0.552855	−	0.689285i
$899$	1.27821	+	0.737974i	0.0426307	+	0.0246128i
$900$	29.2141	−	1.29383i	0.973802	−	0.0431276i
$901$	−0.0252534	−	0.0176826i	−0.000841314	−	0.000589094i
$902$	−0.107784	−	0.981336i	−0.00358883	−	0.0326749i
$903$	−16.6378	−	7.75833i	−0.553671	−	0.258181i
$904$	−38.0452	−	4.13050i	−1.26537	−	0.137378i
$905$	−8.27194	+	5.79207i	−0.274968	+	0.192535i
$906$	−1.18198	−	4.05047i	−0.0392687	−	0.134568i
$907$	−47.4545	−	4.15173i	−1.57570	−	0.137856i	−0.734512	−	0.678596i	$-0.762589\pi$
$907$	−47.4545	−	4.15173i	−1.57570	−	0.137856i	−0.841190	+	0.540740i	$0.818144\pi$
$908$	11.8269	+	2.61420i	0.392489	+	0.0867552i
$909$	−15.2223	+	5.54046i	−0.504891	+	0.183765i
$910$	−105.953	−	6.91122i	−3.51230	−	0.229105i
$911$	5.26321	+	1.41027i	0.174378	+	0.0467244i	0.344951	−	0.938621i	$-0.387895\pi$
$911$	5.26321	+	1.41027i	0.174378	+	0.0467244i	−0.170574	+	0.985345i	$0.554562\pi$
$912$	−7.43039	+	8.87773i	−0.246045	+	0.293971i
$913$	−2.62023	+	3.12267i	−0.0867170	+	0.103345i
$914$	−33.2850	−	5.11238i	−1.10097	−	0.169103i
$915$	4.82383	−	2.78504i	0.159471	−	0.0920705i
$916$	−0.171043	−	0.268113i	−0.00565141	−	0.00885870i
$917$	49.9705	−	13.3895i	1.65017	−	0.442162i
$918$	0.142498	−	0.00315393i	0.00470314	−	0.000104095i
$919$	−21.4294	−	21.4294i	−0.706889	−	0.706889i	0.258990	−	0.965880i	$-0.416610\pi$
$919$	−21.4294	−	21.4294i	−0.706889	−	0.706889i	−0.965880	+	0.258990i	$0.916610\pi$
$920$	36.7804	+	0.768015i	1.21261	+	0.0253207i
$921$	−0.907383	−	5.14603i	−0.0298993	−	0.169567i
$922$	5.68450	−	10.3692i	0.187209	−	0.341490i
$923$	−8.89064	−	101.621i	−0.292639	−	3.34488i
$924$	−0.862490	+	0.791319i	−0.0283738	+	0.0260325i
$925$	19.6452	−	27.6425i	0.645931	−	0.908879i
$926$	20.0868	−	7.81855i	0.660092	−	0.256934i
$927$	−2.94801	−	33.6959i	−0.0968252	−	1.10672i
$928$	−20.5044	+	30.7912i	−0.673091	+	1.01077i
$929$	−23.0012	+	4.05574i	−0.754646	+	0.133064i	−0.537720	−	0.843124i	$-0.680714\pi$
$929$	−23.0012	+	4.05574i	−0.754646	+	0.133064i	−0.216926	+	0.976188i	$0.569603\pi$
$930$	−0.440796	+	0.460750i	−0.0144543	+	0.0151086i
$931$	12.2611	+	12.2611i	0.401840	+	0.401840i
$932$	−32.9303	+	13.6643i	−1.07867	+	0.447590i
$933$	−4.44570	−	16.5916i	−0.145546	−	0.543184i
$934$	−31.8818	+	6.35205i	−1.04320	+	0.207845i
$935$	0.0239541	−	0.0138299i	0.000783382	−	0.000452286i
$936$	−43.5441	+	29.1544i	−1.42328	+	0.952942i
$937$	−20.1843	−	16.9366i	−0.659392	−	0.553296i	0.250512	−	0.968113i	$-0.419401\pi$
$937$	−20.1843	−	16.9366i	−0.659392	−	0.553296i	−0.909905	+	0.414818i	$0.863845\pi$
$938$	−3.33836	+	13.6613i	−0.109001	+	0.446056i
$939$	3.49122	+	0.935469i	0.113932	+	0.0305279i
$940$	13.3418	+	42.2225i	0.435160	+	1.37715i
$941$	−8.88666	−	24.4159i	−0.289697	−	0.795936i	−0.996109	−	0.0881344i	$-0.971909\pi$
$941$	−8.88666	−	24.4159i	−0.289697	−	0.795936i	0.706412	−	0.707801i	$-0.250313\pi$
$942$	4.68668	−	7.01886i	0.152700	−	0.228687i
$943$	−9.54180	−	0.834799i	−0.310724	−	0.0271848i
$944$	1.97186	−	11.2654i	0.0641785	−	0.366657i
$945$	21.0557	+	30.0707i	0.684942	+	0.978199i
$946$	−2.83326	+	2.48627i	−0.0921172	+	0.0808356i
$947$	53.1354	+	24.7775i	1.72667	+	0.805159i	0.991927	+	0.126813i	$0.0404748\pi$
$947$	53.1354	+	24.7775i	1.72667	+	0.805159i	0.734743	+	0.678346i	$0.237303\pi$
$948$	10.2699	−	5.35437i	0.333552	−	0.173902i
$949$	−22.4872	+	32.1150i	−0.729964	+	1.04250i
$950$	35.1775	+	11.9289i	1.14131	+	0.387024i
$951$	11.4853	+	6.63105i	0.372437	+	0.215026i
$952$	0.0178927	+	0.269120i	0.000579907	+	0.00872223i
$953$	−5.41788	−	0.955318i	−0.175502	−	0.0309458i	0.0852063	−	0.996363i	$-0.472845\pi$
$953$	−5.41788	−	0.955318i	−0.175502	−	0.0309458i	−0.260709	+	0.965418i	$0.583956\pi$
$954$	−2.31815	−	3.15948i	−0.0750528	−	0.102292i
$955$	19.2490	−	52.8861i	0.622882	−	1.71135i
$956$	53.4092	+	2.29841i	1.72738	+	0.0743360i
$957$	0.494933	+	1.06139i	0.0159989	+	0.0343097i
$958$	15.0633	+	24.8060i	0.486672	+	0.801446i
$959$	1.01785	+	1.21302i	0.0328679	+	0.0391705i
$960$	−10.8195	−	11.7630i	−0.349197	−	0.379649i
$961$		−	30.9491i		−	0.998357i
$962$	−4.37999	+	60.6127i	−0.141217	+	1.95423i
$963$	−29.5929			−0.953618
$964$	−12.8553	+	14.0467i	−0.414041	+	0.452415i
$965$	−58.7271	+	49.2779i	−1.89049	+	1.58631i
$966$	5.89437	+	9.70678i	0.189648	+	0.312311i
$967$	−21.7281	+	10.1320i	−0.698728	+	0.325822i	−0.739321	−	0.673354i	$-0.764853\pi$
$967$	−21.7281	+	10.1320i	−0.698728	+	0.325822i	0.0405926	+	0.999176i	$0.487075\pi$
$968$	−9.95103	−	29.2246i	−0.319838	−	0.939315i
$969$	0.0793561	+	0.0288833i	0.00254929	+	0.000927864i
$970$	−3.91618	+	2.87334i	−0.125741	+	0.0922575i
$971$	0.328836	−	1.86492i	0.0105529	−	0.0598482i	−0.979077	−	0.203492i	$-0.934771\pi$
$971$	0.328836	−	1.86492i	0.0105529	−	0.0598482i	0.989629	+	0.143644i	$0.0458820\pi$
$972$	26.5037	+	8.33836i	0.850107	+	0.267453i
$973$	−29.8821	+	51.7574i	−0.957977	+	1.65926i
$974$	−4.34858	−	1.47463i	−0.139337	−	0.0472501i
$975$	−19.8199	−	13.8780i	−0.634745	−	0.444453i
$976$	10.4848	+	3.80130i	0.335610	+	0.121677i
$977$	−5.86104	+	12.5690i	−0.187511	+	0.402119i	−0.977480	−	0.211028i	$-0.932319\pi$
$977$	−5.86104	+	12.5690i	−0.187511	+	0.402119i	0.789969	+	0.613147i	$0.210097\pi$
$978$	−7.10250	−	8.09374i	−0.227113	−	0.258809i
$979$	2.31947	−	1.62411i	0.0741307	−	0.0519069i
$980$	−18.9820	+	14.5843i	−0.606359	+	0.465879i
$981$	4.38726	−	50.1466i	0.140074	−	1.60106i
$982$	21.5880	−	32.3307i	0.688902	−	1.03171i
$983$	−42.2950	+	15.3941i	−1.34900	+	0.490996i	−0.912636	−	0.408774i	$-0.865956\pi$
$983$	−42.2950	+	15.3941i	−1.34900	+	0.490996i	−0.436365	+	0.899770i	$0.643734\pi$
$984$	2.60759	+	3.24275i	0.0831268	+	0.103375i
$985$	−18.8727	+	70.4337i	−0.601333	+	2.24420i
$986$	0.262141	+	0.0640586i	0.00834827	+	0.00204004i
$987$	−8.78625	+	10.4710i	−0.279669	+	0.333297i
$988$	−64.9772	+	14.4478i	−2.06720	+	0.459644i
$989$	18.2858	+	31.6720i	0.581455	+	1.00711i
$990$	3.44810	−	0.686992i	0.109588	−	0.0218340i
$991$	−1.00866	+	0.270270i	−0.0320412	+	0.00858541i	−0.274804	−	0.961500i	$-0.588613\pi$
$991$	−1.00866	+	0.270270i	−0.0320412	+	0.00858541i	0.242763	+	0.970086i	$0.421946\pi$
$992$	−1.27411	−	0.0815082i	−0.0404530	−	0.00258789i
$993$	−3.99929	+	3.99929i	−0.126913	+	0.126913i
$994$	−48.2232	−	46.1347i	−1.52955	−	1.46331i
$995$	−8.11700	−	46.0338i	−0.257326	−	1.45937i
$996$	2.23197	−	17.0359i	0.0707228	−	0.539803i
$997$	23.5466	−	2.06006i	0.745727	−	0.0652427i	0.292043	−	0.956405i	$-0.405665\pi$
$997$	23.5466	−	2.06006i	0.745727	−	0.0652427i	0.453684	+	0.891163i	$0.350109\pi$
$998$	37.2375	−	14.4943i	1.17873	−	0.458809i
$999$	17.2949	−	11.9305i	0.547185	−	0.377463i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	296.2.bj.a.19.13	✓	432
8.3	odd	2	inner	296.2.bj.a.19.16	yes	432
37.2	odd	36	inner	296.2.bj.a.187.16	yes	432
296.187	even	36	inner	296.2.bj.a.187.13	yes	432

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.bj.a.19.13	✓	432	1.1	even	1	trivial
296.2.bj.a.19.16	yes	432	8.3	odd	2	inner
296.2.bj.a.187.13	yes	432	296.187	even	36	inner
296.2.bj.a.187.16	yes	432	37.2	odd	36	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 296 = 2^{3} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	296.bj (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.625887 - 1.26817i) q^{2} +(0.394884 + 0.470604i) q^{3} +(-1.21653 + 1.58747i) q^{4} +(-2.94726 + 1.37433i) q^{5} +(0.349655 - 0.795327i) q^{6} +(1.11776 - 3.07102i) q^{7} +(2.77460 + 0.549195i) q^{8} +(0.455409 - 2.58276i) q^{9} +(3.58755 + 2.87746i) q^{10} +(0.252449 + 0.145752i) q^{11} +(-1.22746 + 0.0543614i) q^{12} +(-5.78687 - 4.05201i) q^{13} +(-4.59418 + 0.504599i) q^{14} +(-1.81059 - 0.844293i) q^{15} +(-1.04011 - 3.86240i) q^{16} +(-0.0239016 + 0.0167361i) q^{17} +(-3.56042 + 1.03898i) q^{18} +(-4.69326 - 0.410607i) q^{19} +(1.40373 - 6.35060i) q^{20} +(1.88662 - 0.686673i) q^{21} +(0.0268336 - 0.411374i) q^{22} +(-3.86337 - 1.03519i) q^{23} +(0.837190 + 1.52261i) q^{24} +(3.58363 - 4.27081i) q^{25} +(-1.51672 + 9.87486i) q^{26} +(2.99137 - 1.72707i) q^{27} +(3.51536 + 5.51039i) q^{28} +(6.31679 - 1.69258i) q^{29} +(0.0625166 + 2.82458i) q^{30} +(0.159589 + 0.159589i) q^{31} +(-4.24721 + 3.73647i) q^{32} +(0.0310968 + 0.176359i) q^{33} +(0.0361839 + 0.0198365i) q^{34} +(0.926266 + 10.5873i) q^{35} +(3.54602 + 3.86495i) q^{36} +(6.06318 - 0.487721i) q^{37} +(2.41673 + 6.20887i) q^{38} +(-0.378248 - 4.32340i) q^{39} +(-8.93224 + 2.19459i) q^{40} +(2.35838 - 0.415847i) q^{41} +(-2.05163 - 1.96278i) q^{42} +(-6.46557 - 6.46557i) q^{43} +(-0.538488 + 0.223444i) q^{44} +(2.20735 + 8.23794i) q^{45} +(1.10524 + 5.54734i) q^{46} +(-5.89614 + 3.40414i) q^{47} +(1.40694 - 2.01468i) q^{48} +(-2.81946 - 2.36581i) q^{49} +(-7.65907 - 1.87162i) q^{50} +(-0.0173144 - 0.00463938i) q^{51} +(13.4723 - 4.25708i) q^{52} +(0.361365 + 0.992841i) q^{53} +(-4.06248 - 2.71262i) q^{54} +(-0.944345 - 0.0826195i) q^{55} +(4.78792 - 7.90697i) q^{56} +(-1.66006 - 2.37081i) q^{57} +(-6.10008 - 6.95142i) q^{58} +(2.59128 + 1.20834i) q^{59} +(3.54293 - 1.84715i) q^{60} +(-1.59922 + 2.28392i) q^{61} +(0.102502 - 0.302272i) q^{62} +(-7.42265 - 4.28547i) q^{63} +(7.39677 + 3.04759i) q^{64} +(22.6242 + 3.98926i) q^{65} +(0.204190 - 0.149817i) q^{66} +(1.04070 - 2.85930i) q^{67} +(0.00250901 - 0.0583029i) q^{68} +(-1.03842 - 2.22690i) q^{69} +(12.8468 - 7.80111i) q^{70} +(9.28166 + 11.0614i) q^{71} +(2.68201 - 6.91599i) q^{72} -5.54963i q^{73} +(-4.41338 - 7.38391i) q^{74} +3.42498 q^{75} +(6.36132 - 6.95089i) q^{76} +(0.729784 - 0.612361i) q^{77} +(-5.24608 + 3.18564i) q^{78} +(-8.54328 + 3.98380i) q^{79} +(8.37370 + 9.95406i) q^{80} +(-5.39930 - 1.96519i) q^{81} +(-2.00345 - 2.73057i) q^{82} +(-2.42828 + 13.7715i) q^{83} +(-1.20506 + 3.83031i) q^{84} +(0.0474433 - 0.0821743i) q^{85} +(-4.15274 + 12.2462i) q^{86} +(3.29093 + 2.30433i) q^{87} +(0.620399 + 0.543046i) q^{88} +(4.10515 - 8.80353i) q^{89} +(9.06559 - 7.95533i) q^{90} +(-18.9121 + 13.2424i) q^{91} +(6.34323 - 4.87364i) q^{92} +(-0.0120842 + 0.138123i) q^{93} +(8.00736 + 5.34673i) q^{94} +(14.3966 - 5.23993i) q^{95} +(-3.43555 - 0.523282i) q^{96} +(-0.273354 + 1.02017i) q^{97} +(-1.23559 + 5.05630i) q^{98} +(0.491409 - 0.585638i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 432 q - 12 q^{2} - 24 q^{3} - 18 q^{4} - 12 q^{6} - 6 q^{8} - 24 q^{9} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{14} + 18 q^{16} - 24 q^{17} - 42 q^{18} - 24 q^{19} - 12 q^{20} - 24 q^{22} - 84 q^{24}+ \cdots - 132 q^{99}+O(q^{100}) \) 432 * q - 12 * q^2 - 24 * q^3 - 18 * q^4 - 12 * q^6 - 6 * q^8 - 24 * q^9 - 6 * q^10 - 36 * q^11 - 12 * q^12 - 12 * q^14 + 18 * q^16 - 24 * q^17 - 42 * q^18 - 24 * q^19 - 12 * q^20 - 24 * q^22 - 84 * q^24 - 12 * q^25 - 6 * q^26 - 36 * q^27 - 12 * q^28 - 36 * q^30 - 42 * q^32 - 60 * q^33 - 12 * q^34 - 24 * q^35 + 60 * q^38 - 12 * q^40 - 24 * q^41 - 12 * q^42 - 6 * q^44 + 48 * q^46 - 18 * q^48 + 24 * q^49 - 42 * q^50 + 96 * q^51 - 42 * q^52 - 72 * q^54 - 12 * q^56 - 24 * q^57 + 48 * q^58 - 24 * q^59 + 144 * q^60 - 72 * q^62 + 108 * q^64 - 84 * q^65 - 168 * q^66 - 24 * q^67 - 18 * q^68 - 186 * q^70 + 234 * q^72 - 150 * q^74 - 48 * q^75 + 42 * q^76 - 222 * q^78 + 120 * q^80 - 60 * q^81 - 24 * q^82 - 24 * q^83 + 126 * q^84 - 54 * q^86 - 24 * q^89 + 72 * q^90 - 24 * q^91 + 114 * q^92 - 24 * q^94 + 72 * q^96 - 24 * q^97 - 114 * q^98 - 132 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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