LMFDB - Embedded newform 296.2.bj.a.187.16

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			187.16
Character	$\chi$	$=$	296.187
Dual form			296.2.bj.a.19.16

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.396163 - 1.35759i) q^{2} +(0.394884 - 0.470604i) q^{3} +(-1.68611 + 1.07565i) q^{4} +(2.94726 + 1.37433i) q^{5} +(-0.795327 - 0.349655i) q^{6} +(-1.11776 - 3.07102i) q^{7} +(2.12827 + 1.86291i) q^{8} +(0.455409 + 2.58276i) q^{9} +(0.698185 - 4.54564i) q^{10} +(0.252449 - 0.145752i) q^{11} +(-0.159610 + 1.21825i) q^{12} +(5.78687 - 4.05201i) q^{13} +(-3.72638 + 2.73408i) q^{14} +(1.81059 - 0.844293i) q^{15} +(1.68594 - 3.62734i) q^{16} +(-0.0239016 - 0.0167361i) q^{17} +(3.32591 - 1.64145i) q^{18} +(-4.69326 + 0.410607i) q^{19} +(-6.44771 + 0.852962i) q^{20} +(-1.88662 - 0.686673i) q^{21} +(-0.297882 - 0.284982i) q^{22} +(3.86337 - 1.03519i) q^{23} +(1.71712 - 0.265940i) q^{24} +(3.58363 + 4.27081i) q^{25} +(-7.79351 - 6.25095i) q^{26} +(2.99137 + 1.72707i) q^{27} +(5.18802 + 3.97575i) q^{28} +(-6.31679 - 1.69258i) q^{29} +(-1.86349 - 2.12357i) q^{30} +(-0.159589 + 0.159589i) q^{31} +(-5.59236 - 0.851793i) q^{32} +(0.0310968 - 0.176359i) q^{33} +(-0.0132518 + 0.0390788i) 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} +(3.71232 + 8.41545i) q^{40} +(2.35838 + 0.415847i) q^{41} +(-0.184814 + 2.83329i) q^{42} +(-6.46557 + 6.46557i) q^{43} +(-0.268879 + 0.517302i) q^{44} +(-2.20735 + 8.23794i) q^{45} +(-2.93589 - 4.83478i) q^{46} +(5.89614 + 3.40414i) q^{47} +(-1.04129 - 2.22579i) q^{48} +(-2.81946 + 2.36581i) q^{49} +(4.37831 - 6.55704i) q^{50} +(-0.0173144 + 0.00463938i) q^{51} +(-5.39874 + 13.0568i) q^{52} +(-0.361365 + 0.992841i) q^{53} +(1.15958 - 4.74525i) q^{54} +(0.944345 - 0.0826195i) q^{55} +(3.34215 - 8.61826i) q^{56} +(-1.66006 + 2.37081i) q^{57} +(0.204646 + 9.24615i) q^{58} +(2.59128 - 1.20834i) q^{59} +(-2.14469 + 3.37114i) q^{60} +(1.59922 + 2.28392i) q^{61} +(0.279881 + 0.153434i) q^{62} +(7.42265 - 4.28547i) q^{63} +(1.05910 + 7.92958i) q^{64} +(22.6242 - 3.98926i) q^{65} +(-0.251742 + 0.0276500i) q^{66} +(1.04070 + 2.85930i) q^{67} +(0.0583029 + 0.00250901i) q^{68} +(1.03842 - 2.22690i) q^{69} +(-14.7401 + 2.93679i) q^{70} +(-9.28166 + 11.0614i) q^{71} +(-3.84222 + 6.34520i) q^{72} +5.54963i q^{73} +(1.73988 + 8.42454i) q^{74} +3.42498 q^{75} +(7.47169 - 5.74066i) q^{76} +(-0.729784 - 0.612361i) q^{77} +(-6.01926 + 1.19926i) q^{78} +(8.54328 + 3.98380i) q^{79} +(9.95406 - 8.37370i) q^{80} +(-5.39930 + 1.96519i) q^{81} +(-0.369754 - 3.36647i) q^{82} +(-2.42828 - 13.7715i) q^{83} +(3.91967 - 0.871544i) q^{84} +(-0.0474433 - 0.0821743i) q^{85} +(11.3390 + 6.21618i) q^{86} +(-3.29093 + 2.30433i) q^{87} +(0.808804 + 0.160092i) q^{88} +(4.10515 + 8.80353i) q^{89} +(12.0582 - 0.266886i) q^{90} +(-18.9121 - 13.2424i) q^{91} +(-5.40057 + 5.90109i) q^{92} +(0.0120842 + 0.138123i) q^{93} +(2.28560 - 9.35315i) q^{94} +(-14.3966 - 5.23993i) q^{95} +(-2.60919 + 2.29543i) q^{96} +(-0.273354 - 1.02017i) q^{97} +(4.32877 + 2.89043i) 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 $\left(\mathbb{Z}/296\mathbb{Z}\right)^\times$.

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

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 $

$2$	−0.396163	−	1.35759i	−0.280129	−	0.959962i
$2$	−0.396163	−	1.35759i	−0.280129	−	0.959962i
$3$	0.394884	−	0.470604i	0.227986	−	0.271703i	−0.639909	−	0.768451i	$-0.721028\pi$
$3$	0.394884	−	0.470604i	0.227986	−	0.271703i	0.867895	+	0.496747i	$0.165472\pi$
$4$	−1.68611	+	1.07565i	−0.843055	+	0.537827i
$5$	2.94726	+	1.37433i	1.31806	+	0.614620i	0.949143	−	0.314845i	$-0.101952\pi$
$5$	2.94726	+	1.37433i	1.31806	+	0.614620i	0.368913	+	0.929464i	$0.379730\pi$
$6$	−0.795327	−	0.349655i	−0.324691	−	0.142746i
$7$	−1.11776	−	3.07102i	−0.422473	−	1.16074i	−0.950287	−	0.311376i	$-0.899210\pi$
$7$	−1.11776	−	3.07102i	−0.422473	−	1.16074i	0.527813	−	0.849360i	$-0.323012\pi$
$8$	2.12827	+	1.86291i	0.752458	+	0.658640i
$9$	0.455409	+	2.58276i	0.151803	+	0.860918i
$10$	0.698185	−	4.54564i	0.220785	−	1.43746i
$11$	0.252449	−	0.145752i	0.0761163	−	0.0439458i	−0.461459	−	0.887162i	$-0.652674\pi$
$11$	0.252449	−	0.145752i	0.0761163	−	0.0439458i	0.537575	+	0.843216i	$0.319340\pi$
$12$	−0.159610	+	1.21825i	−0.0460755	+	0.351678i
$13$	5.78687	−	4.05201i	1.60499	−	1.12383i	0.687410	−	0.726269i	$-0.258747\pi$
$13$	5.78687	−	4.05201i	1.60499	−	1.12383i	0.917578	−	0.397556i	$-0.130142\pi$
$14$	−3.72638	+	2.73408i	−0.995916	+	0.730715i
$15$	1.81059	−	0.844293i	0.467493	−	0.217996i
$16$	1.68594	−	3.62734i	0.421484	−	0.906836i
$17$	−0.0239016	−	0.0167361i	−0.00579698	−	0.00405909i	0.570674	−	0.821176i	$-0.306682\pi$
$17$	−0.0239016	−	0.0167361i	−0.00579698	−	0.00405909i	−0.576471	+	0.817117i	$0.695571\pi$
$18$	3.32591	−	1.64145i	0.783925	−	0.386894i
$19$	−4.69326	+	0.410607i	−1.07671	+	0.0941998i	−0.611687	−	0.791100i	$-0.709509\pi$
$19$	−4.69326	+	0.410607i	−1.07671	+	0.0941998i	−0.465021	+	0.885300i	$0.653953\pi$
$20$	−6.44771	+	0.852962i	−1.44175	+	0.190728i
$21$	−1.88662	−	0.686673i	−0.411694	−	0.149844i
$22$	−0.297882	−	0.284982i	−0.0635087	−	0.0607583i
$23$	3.86337	−	1.03519i	0.805569	−	0.215851i	0.167541	−	0.985865i	$-0.446417\pi$
$23$	3.86337	−	1.03519i	0.805569	−	0.215851i	0.638028	+	0.770014i	$0.279751\pi$
$24$	1.71712	−	0.265940i	0.350505	−	0.0542847i
$25$	3.58363	+	4.27081i	0.716726	+	0.854161i
$26$	−7.79351	−	6.25095i	−1.52843	−	1.22591i
$27$	2.99137	+	1.72707i	0.575689	+	0.332374i
$28$	5.18802	+	3.97575i	0.980444	+	0.751347i
$29$	−6.31679	−	1.69258i	−1.17300	−	0.314304i	−0.380852	−	0.924636i	$-0.624369\pi$
$29$	−6.31679	−	1.69258i	−1.17300	−	0.314304i	−0.792146	+	0.610332i	$0.791036\pi$
$30$	−1.86349	−	2.12357i	−0.340226	−	0.387709i
$31$	−0.159589	+	0.159589i	−0.0286631	+	0.0286631i	−0.721293	−	0.692630i	$-0.756452\pi$
$31$	−0.159589	+	0.159589i	−0.0286631	+	0.0286631i	0.692630	+	0.721293i	$0.256452\pi$
$32$	−5.59236	−	0.851793i	−0.988598	−	0.150577i
$33$	0.0310968	−	0.176359i	0.00541326	−	0.0307001i
$34$	−0.0132518	+	0.0390788i	−0.00227267	+	0.00670196i
$35$	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
$40$	3.71232	+	8.41545i	0.586969	+	1.33060i
$41$	2.35838	+	0.415847i	0.368318	+	0.0649444i	0.354744	−	0.934964i	$-0.384568\pi$
$41$	2.35838	+	0.415847i	0.368318	+	0.0649444i	0.0135739	+	0.999908i	$0.495679\pi$
$42$	−0.184814	+	2.83329i	−0.0285174	+	0.437187i
$43$	−6.46557	+	6.46557i	−0.985989	+	0.985989i	−0.999903	−	0.0139137i	$-0.995571\pi$
$43$	−6.46557	+	6.46557i	−0.985989	+	0.985989i	0.0139137	+	0.999903i	$0.495571\pi$
$44$	−0.268879	+	0.517302i	−0.0405350	+	0.0779861i
$45$	−2.20735	+	8.23794i	−0.329052	+	1.22804i
$46$	−2.93589	−	4.83478i	−0.432873	−	0.712849i
$47$	5.89614	+	3.40414i	0.860041	+	0.496545i	0.864026	−	0.503447i	$-0.167935\pi$
$47$	5.89614	+	3.40414i	0.860041	+	0.496545i	−0.00398505	+	0.999992i	$0.501268\pi$
$48$	−1.04129	−	2.22579i	−0.150298	−	0.321265i
$49$	−2.81946	+	2.36581i	−0.402780	+	0.337973i
$50$	4.37831	−	6.55704i	0.619186	−	0.927306i
$51$	−0.0173144	+	0.00463938i	−0.00242450	+	0.000649643i
$52$	−5.39874	+	13.0568i	−0.748670	+	1.81065i
$53$	−0.361365	+	0.992841i	−0.0496372	+	0.136377i	−0.962034	−	0.272930i	$-0.912007\pi$
$53$	−0.361365	+	0.992841i	−0.0496372	+	0.136377i	0.912397	+	0.409307i	$0.134230\pi$
$54$	1.15958	−	4.74525i	0.157799	−	0.645747i
$55$	0.944345	−	0.0826195i	0.127335	−	0.0111404i
$56$	3.34215	−	8.61826i	0.446613	−	1.15166i
$57$	−1.66006	+	2.37081i	−0.219880	+	0.314022i
$58$	0.204646	+	9.24615i	0.0268713	+	1.21408i
$59$	2.59128	−	1.20834i	0.337356	−	0.157312i	−0.246556	−	0.969129i	$-0.579299\pi$
$59$	2.59128	−	1.20834i	0.337356	−	0.157312i	0.583912	+	0.811817i	$0.301521\pi$
$60$	−2.14469	+	3.37114i	−0.276878	+	0.435213i
$61$	1.59922	+	2.28392i	0.204759	+	0.292426i	0.908377	−	0.418153i	$-0.137322\pi$
$61$	1.59922	+	2.28392i	0.204759	+	0.292426i	−0.703618	+	0.710578i	$0.748433\pi$
$62$	0.279881	+	0.153434i	0.0355449	+	0.0194861i
$63$	7.42265	−	4.28547i	0.935166	−	0.539918i
$64$	1.05910	+	7.92958i	0.132387	+	0.991198i
$65$	22.6242	−	3.98926i	2.80619	−	0.494807i
$66$	−0.251742	+	0.0276500i	−0.0309874	+	0.00340348i
$67$	1.04070	+	2.85930i	0.127142	+	0.349319i	0.986889	−	0.161401i	$-0.0516011\pi$
$67$	1.04070	+	2.85930i	0.127142	+	0.349319i	−0.859747	+	0.510720i	$0.829379\pi$
$68$	0.0583029	+	0.00250901i	0.00707027	+	0.000304262i
$69$	1.03842	−	2.22690i	0.125011	−	0.268087i
$70$	−14.7401	+	2.93679i	−1.76178	+	0.351014i
$71$	−9.28166	+	11.0614i	−1.10153	+	1.31275i	−0.155804	+	0.987788i	$0.549797\pi$
$71$	−9.28166	+	11.0614i	−1.10153	+	1.31275i	−0.945726	+	0.324964i	$0.894648\pi$
$72$	−3.84222	+	6.34520i	−0.452810	+	0.747789i
$73$			5.54963i			0.649535i	0.945794	+	0.324768i	$0.105286\pi$
$73$			5.54963i			0.649535i	−0.945794	+	0.324768i	$0.894714\pi$
$74$	1.73988	+	8.42454i	0.202257	+	0.979333i
$75$	3.42498			0.395482
$76$	7.47169	−	5.74066i	0.857061	−	0.658499i
$77$	−0.729784	−	0.612361i	−0.0831666	−	0.0697850i
$78$	−6.01926	+	1.19926i	−0.681547	+	0.135790i
$79$	8.54328	+	3.98380i	0.961194	+	0.448212i	0.838902	−	0.544282i	$-0.183198\pi$
$79$	8.54328	+	3.98380i	0.961194	+	0.448212i	0.122292	+	0.992494i	$0.460976\pi$
$80$	9.95406	−	8.37370i	1.11290	−	0.936208i
$81$	−5.39930	+	1.96519i	−0.599922	+	0.218354i
$82$	−0.369754	−	3.36647i	−0.0408325	−	0.371764i
$83$	−2.42828	−	13.7715i	−0.266538	−	1.51161i	−0.764618	−	0.644483i	$-0.777073\pi$
$83$	−2.42828	−	13.7715i	−0.266538	−	1.51161i	0.498080	−	0.867131i	$-0.334039\pi$
$84$	3.91967	−	0.871544i	0.427671	−	0.0950932i
$85$	−0.0474433	−	0.0821743i	−0.00514595	−	0.00891305i
$86$	11.3390	+	6.21618i	1.22272	+	0.670308i
$87$	−3.29093	+	2.30433i	−0.352825	+	0.247051i
$88$	0.808804	+	0.160092i	0.0862188	+	0.0170659i
$89$	4.10515	+	8.80353i	0.435145	+	0.933173i	0.994548	+	0.104277i	$0.0332527\pi$
$89$	4.10515	+	8.80353i	0.435145	+	0.933173i	−0.559403	+	0.828896i	$0.688970\pi$
$90$	12.0582	−	0.266886i	1.27105	−	0.0281322i
$91$	−18.9121	−	13.2424i	−1.98253	−	1.38818i
$92$	−5.40057	+	5.90109i	−0.563048	+	0.615232i
$93$	0.0120842	+	0.138123i	0.00125307	+	0.0143227i
$94$	2.28560	−	9.35315i	0.235742	−	0.964704i
$95$	−14.3966	−	5.23993i	−1.47706	−	0.537605i
$96$	−2.60919	+	2.29543i	−0.266299	+	0.234276i
$97$	−0.273354	−	1.02017i	−0.0277549	−	0.103583i	0.950659	−	0.310238i	$-0.100409\pi$
$97$	−0.273354	−	1.02017i	−0.0277549	−	0.103583i	−0.978414	+	0.206655i	$0.933742\pi$
$98$	4.32877	+	2.89043i	0.437271	+	0.291978i
$99$	0.491409	+	0.585638i	0.0493884	+	0.0588588i
$100$	−10.6363	−	3.34630i	−1.06363	−	0.334630i
$101$	3.08839	−	5.34925i	0.307306	−	0.532270i	−0.670466	−	0.741940i	$-0.733906\pi$
$101$	3.08839	−	5.34925i	0.307306	−	0.532270i	0.977772	+	0.209670i	$0.0672390\pi$
$102$	0.0131577	+	0.0216679i	0.00130281	+	0.00214545i
$103$	−12.4579	−	3.33808i	−1.22751	−	0.328911i	−0.413902	−	0.910322i	$-0.635834\pi$
$103$	−12.4579	−	3.33808i	−1.22751	−	0.328911i	−0.813610	+	0.581411i	$0.802501\pi$
$104$	19.8646	+	2.15666i	1.94788	+	0.211478i
$105$	−4.61665	−	4.61665i	−0.450539	−	0.450539i
$106$	1.49103	+	0.0972589i	0.144822	+	0.00944662i
$107$	−1.95941	+	11.1124i	−0.189424	+	1.07427i	0.730715	+	0.682683i	$0.239187\pi$
$107$	−1.95941	+	11.1124i	−0.189424	+	1.07427i	−0.920139	+	0.391592i	$0.871924\pi$
$108$	−6.90150	+	0.305653i	−0.664097	+	0.0294114i
$109$	−19.1210	−	1.67287i	−1.83146	−	0.160232i	−0.881412	−	0.472349i	$-0.843406\pi$
$109$	−19.1210	−	1.67287i	−1.83146	−	0.160232i	−0.950044	+	0.312117i	$0.898962\pi$
$110$	−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	−0.566751	−	0.823889i	$-0.691800\pi$
$113$	−13.4786	−	1.17922i	−1.26796	−	0.110932i	−0.701207	+	0.712957i	$0.747355\pi$
$114$	3.87625	+	1.31446i	0.363044	+	0.123110i
$115$	12.8091	+	2.25858i	1.19445	+	0.210614i
$116$	12.4714	−	3.94081i	1.15794	−	0.365895i
$117$	13.1007	+	13.1007i	1.21116	+	1.21116i
$118$	−2.66700	−	3.03921i	−0.245517	−	0.279782i
$119$	−0.0246806	+	0.0921091i	−0.00226246	+	0.00844363i
$120$	5.42628	+	1.57609i	0.495349	+	0.143877i
$121$	−5.45751	+	9.45269i	−0.496138	+	0.859335i
$122$	2.46708	−	3.07589i	0.223359	−	0.278478i
$123$	1.12699	−	0.945654i	0.101617	−	0.0852668i
$124$	0.0974222	−	0.440748i	0.00874878	−	0.0395804i
$125$	0.484076	+	1.80660i	0.0432971	+	0.161587i
$126$	−8.75850	−	8.37919i	−0.780269	−	0.746477i
$127$	2.56984	−	7.06057i	0.228036	−	0.626524i	−0.771922	−	0.635718i	$-0.780704\pi$
$127$	2.56984	−	7.06057i	0.228036	−	0.626524i	0.999958	+	0.00919352i	$0.00292643\pi$
$128$	10.3456	−	4.57923i	0.914427	−	0.404750i
$129$	0.489575	+	5.59587i	0.0431047	+	0.492689i
$130$	−14.3787	−	29.1341i	−1.26109	−	2.55523i
$131$	9.07955	−	12.9669i	0.793284	−	1.13293i	−0.195075	−	0.980788i	$-0.562495\pi$
$131$	9.07955	−	12.9669i	0.793284	−	1.13293i	0.988359	−	0.152139i	$-0.0486160\pi$
$132$	0.137268	+	0.330810i	0.0119477	+	0.0287933i
$133$	6.50692	+	13.9541i	0.564222	+	1.20998i
$134$	3.46948	−	2.54559i	0.299717	−	0.219906i
$135$	6.44278	+	9.20124i	0.554506	+	0.791917i
$136$	−0.0196912	−	0.0801455i	−0.00168851	−	0.00687242i
$137$	−0.242263	−	0.419612i	−0.0206979	−	0.0358499i	0.855491	−	0.517818i	$-0.173255\pi$
$137$	−0.242263	−	0.419612i	−0.0206979	−	0.0358499i	−0.876189	+	0.481968i	$0.839922\pi$
$138$	−3.43460	−	0.527536i	−0.292373	−	0.0449068i
$139$	−18.0093	+	3.17552i	−1.52753	+	0.269344i	−0.873386	−	0.487029i	$-0.838081\pi$
$139$	−18.0093	+	3.17552i	−1.52753	+	0.269344i	−0.654141	+	0.756373i	$0.726970\pi$
$140$	9.82646	+	18.8476i	0.830487	+	1.59292i
$141$	3.93029	−	1.43051i	0.330991	−	0.120471i
$142$	18.6940	+	8.21857i	1.56876	+	0.689687i
$143$	0.870304	−	1.86637i	0.0727785	−	0.156074i
$144$	10.1363	+	2.70243i	0.844694	+	0.225203i
$145$	−16.2911	−	13.6698i	−1.35290	−	1.13522i
$146$	7.53413	−	2.19856i	0.623529	−	0.181954i
$147$			2.26107i			0.186490i
$148$	10.7478	−	5.69953i	0.883464	−	0.468499i
$149$		−	4.46709i		−	0.365958i	−0.983117	−	0.182979i	$-0.941426\pi$
$149$		−	4.46709i		−	0.365958i	0.983117	−	0.182979i	$-0.0585741\pi$
$150$	−1.35685	−	4.64972i	−0.110786	−	0.379648i
$151$	−3.72039	−	3.12178i	−0.302761	−	0.254047i	0.478731	−	0.877961i	$-0.341097\pi$
$151$	−3.72039	−	3.12178i	−0.302761	−	0.254047i	−0.781492	+	0.623915i	$0.785541\pi$
$152$	−10.7535	−	7.86927i	−0.872222	−	0.638282i
$153$	0.0323402	−	0.0693537i	0.00261455	−	0.00560691i
$154$	−0.542223	+	1.23334i	−0.0436936	+	0.0993856i
$155$	−0.689680	+	0.251023i	−0.0553965	+	0.0201627i
$156$	4.01271	+	7.69659i	0.321274	+	0.616220i
$157$	−9.56674	+	1.68687i	−0.763509	+	0.134627i	−0.541825	−	0.840491i	$-0.682266\pi$
$157$	−9.56674	+	1.68687i	−0.763509	+	0.134627i	−0.221684	+	0.975119i	$0.571155\pi$
$158$	2.02384	−	13.1765i	0.161008	−	1.04827i
$159$	0.324538	+	0.562116i	0.0257375	+	0.0445787i
$160$	−15.3115	−	10.1962i	−1.21048	−	0.806081i
$161$	−7.49740	−	10.7074i	−0.590878	−	0.843861i
$162$	4.80692	+	6.55151i	0.377667	+	0.514736i
$163$	5.23811	+	11.2332i	0.410281	+	0.879849i	0.997516	+	0.0704337i	$0.0224383\pi$
$163$	5.23811	+	11.2332i	0.410281	+	0.879849i	−0.587236	+	0.809416i	$0.699784\pi$
$164$	−4.42380	+	1.83564i	−0.345441	+	0.143340i
$165$	0.334026	−	0.477038i	0.0260039	−	0.0371374i
$166$	−17.7340	+	8.75235i	−1.37643	+	0.679314i
$167$	−0.764815	−	8.74187i	−0.0591831	−	0.676466i	−0.966609	−	0.256255i	$-0.917511\pi$
$167$	−0.764815	−	8.74187i	−0.0591831	−	0.676466i	0.907426	−	0.420212i	$-0.138044\pi$
$168$	−2.73603	−	4.97604i	−0.211089	−	0.383910i
$169$	12.6228	−	34.6809i	0.970985	−	2.66776i
$170$	−0.0927638	+	0.0969630i	−0.00711466	+	0.00743673i
$171$	−3.19785	−	11.9346i	−0.244546	−	0.912658i
$172$	3.94694	−	17.8564i	0.300951	−	1.36154i
$173$	9.90626	−	8.31234i	0.753159	−	0.631976i	−0.183177	−	0.983080i	$-0.558638\pi$
$173$	9.90626	−	8.31234i	0.753159	−	0.631976i	0.936336	+	0.351104i	$0.114194\pi$
$174$	4.43209	+	3.55485i	0.335996	+	0.269492i
$175$	9.11009	−	15.7791i	0.688658	−	1.19279i
$176$	−0.103078	−	1.16145i	−0.00776982	−	0.0875475i
$177$	0.454608	−	1.69662i	0.0341704	−	0.127526i
$178$	10.3253	−	9.06075i	0.773913	−	0.679132i
$179$	−8.63409	−	8.63409i	−0.645342	−	0.645342i	0.306522	−	0.951864i	$-0.400835\pi$
$179$	−8.63409	−	8.63409i	−0.645342	−	0.645342i	−0.951864	+	0.306522i	$0.900835\pi$
$180$	−5.13934	−	16.2644i	−0.383064	−	1.21228i
$181$	−3.05810	−	0.539225i	−0.227306	−	0.0400803i	0.0588347	−	0.998268i	$-0.481262\pi$
$181$	−3.05810	−	0.539225i	−0.227306	−	0.0400803i	−0.286141	+	0.958187i	$0.592373\pi$
$182$	−10.4855	+	30.9211i	−0.777238	+	2.29202i
$183$	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
$188$	−13.6032	+	0.602458i	−0.992117	+	0.0439387i
$189$	1.96022	−	11.1170i	0.142585	−	0.808642i
$190$	−1.41029	+	21.6206i	−0.102313	+	1.56852i
$191$	12.2376	+	12.2376i	0.885484	+	0.885484i	0.994085	−	0.108601i	$-0.0346371\pi$
$191$	12.2376	+	12.2376i	0.885484	+	0.885484i	−0.108601	+	0.994085i	$0.534637\pi$
$192$	4.14992	+	2.63285i	0.299494	+	0.190010i
$193$	22.7712	+	6.10152i	1.63910	+	0.439197i	0.956534	−	0.291622i	$-0.0941950\pi$
$193$	22.7712	+	6.10152i	1.63910	+	0.439197i	0.682571	+	0.730819i	$0.260862\pi$
$194$	−1.27668	+	0.775257i	−0.0916605	+	0.0556602i
$195$	7.05658	−	12.2223i	0.505332	−	0.875261i
$196$	2.20913	−	7.02178i	0.157795	−	0.501556i
$197$	−14.4132	−	17.1770i	−1.02690	−	1.22381i	−0.974314	−	0.225195i	$-0.927698\pi$
$197$	−14.4132	−	17.1770i	−1.02690	−	1.22381i	−0.0525859	−	0.998616i	$-0.516746\pi$
$198$	0.600380	−	0.899140i	0.0426671	−	0.0638991i
$199$	3.72030	+	13.8844i	0.263725	+	0.984236i	0.963026	+	0.269409i	$0.0868282\pi$
$199$	3.72030	+	13.8844i	0.263725	+	0.984236i	−0.699301	+	0.714828i	$0.746505\pi$
$200$	−0.329200	+	15.7654i	−0.0232780	+	1.11479i
$201$	1.75655	+	0.639334i	0.123898	+	0.0450951i
$202$	−8.48560	−	2.07360i	−0.597045	−	0.145898i
$203$	1.86271	+	21.2909i	0.130737	+	1.49433i
$204$	0.0242036	−	0.0264468i	0.00169459	−	0.00185165i
$205$	6.37927	+	4.46681i	0.445547	+	0.311976i
$206$	0.403600	+	18.2351i	0.0281201	+	1.27050i
$207$	4.43305	+	9.50671i	0.308118	+	0.660762i
$208$	−4.94174	−	27.8224i	−0.342648	−	1.92914i
$209$	−1.12496	+	0.787708i	−0.0778154	+	0.0544869i
$210$	−4.43858	+	8.09646i	−0.306291	+	0.558709i
$211$	14.1195	+	24.4558i	0.972029	+	1.68360i	0.689410	+	0.724371i	$0.257870\pi$
$211$	14.1195	+	24.4558i	0.972029	+	1.68360i	0.282619	+	0.959232i	$0.408797\pi$
$212$	−0.458653	−	2.06274i	−0.0315004	−	0.141670i
$213$	1.54039	+	8.73597i	0.105546	+	0.598579i
$214$	15.8623	−	1.74223i	1.08433	−	0.119096i
$215$	−27.9415	+	10.1699i	−1.90560	+	0.693581i
$216$	3.14907	+	9.24833i	0.214267	+	0.629269i
$217$	0.668484	+	0.311719i	0.0453797	+	0.0211609i
$218$	5.30394	+	26.6212i	0.359228	+	1.80301i
$219$	2.61168	+	2.19146i	0.176481	+	0.148085i
$220$	−1.50340	+	1.15509i	−0.101359	+	0.0778765i
$221$	−0.206130			−0.0138658
$222$	4.65167	+	2.50792i	0.312200	+	0.168320i
$223$			6.72975i			0.450657i	0.974283	+	0.225329i	$0.0723455\pi$
$223$			6.72975i			0.450657i	−0.974283	+	0.225329i	$0.927654\pi$
$224$	3.63504	+	18.1263i	0.242876	+	1.21112i
$225$	−9.39843	+	11.2006i	−0.626562	+	0.746707i
$226$	3.73881	+	18.7656i	0.248702	+	1.24827i
$227$	−2.55945	+	5.48877i	−0.169877	+	0.364302i	−0.972753	−	0.231844i	$-0.925524\pi$
$227$	−2.55945	+	5.48877i	−0.169877	+	0.364302i	0.802876	+	0.596146i	$0.203302\pi$
$228$	0.248870	−	5.78310i	0.0164818	−	0.382995i
$229$	0.0543855	+	0.149423i	0.00359390	+	0.00987415i	0.941477	−	0.337078i	$-0.109439\pi$
$229$	0.0543855	+	0.149423i	0.00359390	+	0.00987415i	−0.937883	+	0.346952i	$0.887217\pi$
$230$	−2.00824	−	18.2842i	−0.132419	−	1.20563i
$231$	−0.576360	+	0.101628i	−0.0379217	+	0.00668662i
$232$	−10.2907	−	15.3699i	−0.675619	−	1.00908i
$233$	15.4381	−	8.91319i	1.01138	−	0.583923i	0.0997871	−	0.995009i	$-0.468184\pi$
$233$	15.4381	−	8.91319i	1.01138	−	0.583923i	0.911596	+	0.411086i	$0.134850\pi$
$234$	12.5954	−	22.9755i	0.823389	−	1.50195i
$235$	12.6991	+	18.1361i	0.828396	+	1.18307i
$236$	−3.06944	+	4.82471i	−0.199803	+	0.314062i
$237$	5.24840	−	2.44737i	0.340920	−	0.158974i
$238$	0.134824	−	0.00298407i	0.00873935	−	0.000193429i
$239$	15.3313	−	21.8954i	0.991699	−	1.41629i	0.0840991	−	0.996457i	$-0.473199\pi$
$239$	15.3313	−	21.8954i	0.991699	−	1.41629i	0.907600	−	0.419836i	$-0.137912\pi$
$240$	−0.00999991	−	7.99106i	−0.000645492	−	0.515821i
$241$	9.48439	−	0.829777i	0.610944	−	0.0534506i	0.222515	−	0.974929i	$-0.428573\pi$
$241$	9.48439	−	0.829777i	0.610944	−	0.0534506i	0.388429	+	0.921479i	$0.373018\pi$
$242$	14.9950	+	3.66427i	0.963912	+	0.235548i
$243$	−4.75142	+	13.0544i	−0.304804	+	0.837442i
$244$	−5.15316	−	2.13073i	−0.329897	−	0.136406i
$245$	−11.5611	+	3.09779i	−0.738611	+	0.197910i
$246$	−1.73028	−	1.15536i	−0.110319	−	0.0736628i
$247$	−25.4955	+	21.3933i	−1.62224	+	1.36122i
$248$	−0.636951	+	0.0423484i	−0.0404464	+	0.00268913i
$249$	−7.43980	−	4.29537i	−0.471478	−	0.272208i
$250$	2.26085	−	1.37288i	0.142988	−	0.0868288i
$251$	−0.456840	+	1.70495i	−0.0288355	+	0.107616i	−0.978844	−	0.204609i	$-0.934408\pi$
$251$	−0.456840	+	1.70495i	−0.0288355	+	0.107616i	0.950008	+	0.312225i	$0.101074\pi$
$252$	−7.90572	+	15.2100i	−0.498014	+	0.958139i
$253$	0.824425	−	0.824425i	0.0518312	−	0.0518312i
$254$	−10.6034	−	0.691655i	−0.665319	−	0.0433983i
$255$	−0.0574062	−	0.0101223i	−0.00359491	−	0.000633880i
$256$	−10.3152	−	12.2309i	−0.644703	−	0.764433i
$257$	−1.47928	+	16.9082i	−0.0922748	+	1.05471i	0.799027	+	0.601295i	$0.205348\pi$
$257$	−1.47928	+	16.9082i	−0.0922748	+	1.05471i	−0.891302	+	0.453410i	$0.850207\pi$
$258$	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
$262$	−21.2008	−	7.18930i	−1.30979	−	0.444157i
$263$	−0.0594776	+	0.337314i	−0.00366754	+	0.0207997i	−0.986587	−	0.163239i	$-0.947806\pi$
$263$	−0.0594776	+	0.337314i	−0.00366754	+	0.0207997i	0.982919	+	0.184038i	$0.0589171\pi$
$264$	0.394724	−	0.317409i	0.0242936	−	0.0195352i
$265$	−2.42953	+	2.42953i	−0.149245	+	0.149245i
$266$	16.3662	−	14.3619i	1.00348	−	0.880582i
$267$	5.76404	+	1.54447i	0.352753	+	0.0945200i
$268$	−4.83036	−	3.70166i	−0.295061	−	0.226115i
$269$	9.44130	+	5.45094i	0.575646	+	0.332350i	0.759401	−	0.650623i	$-0.225492\pi$
$269$	9.44130	+	5.45094i	0.575646	+	0.332350i	−0.183755	+	0.982972i	$0.558825\pi$
$270$	9.93914	−	12.3919i	0.604877	−	0.754144i
$271$	−9.68686	−	11.5443i	−0.588435	−	0.701269i	0.386870	−	0.922134i	$-0.373556\pi$
$271$	−9.68686	−	11.5443i	−0.588435	−	0.701269i	−0.975304	+	0.220865i	$0.929112\pi$
$272$	−0.101004	+	0.0584833i	−0.00612427	+	0.00354607i
$273$	−13.7000	+	3.67091i	−0.829163	+	0.222174i
$274$	−0.473686	+	0.495129i	−0.0286164	+	0.0299119i
$275$	1.52716	+	0.555842i	0.0920913	+	0.0335185i
$276$	0.644483	+	4.87178i	0.0387933	+	0.293246i
$277$	−2.50945	+	0.219548i	−0.150778	+	0.0131914i	−0.162295	−	0.986742i	$-0.551890\pi$
$277$	−2.50945	+	0.219548i	−0.150778	+	0.0131914i	0.0115167	+	0.999934i	$0.496334\pi$
$278$	11.4457	+	23.1912i	0.686465	+	1.39092i
$279$	−0.484859	−	0.339502i	−0.0290277	−	0.0203254i
$280$	21.6945	−	20.8071i	1.29650	−	1.24346i
$281$	−17.5631	+	8.18982i	−1.04773	+	0.488564i	−0.868730	−	0.495286i	$-0.835063\pi$
$281$	−17.5631	+	8.18982i	−1.04773	+	0.488564i	−0.178998	+	0.983849i	$0.557286\pi$
$282$	−3.49909	−	4.76902i	−0.208367	−	0.283991i
$283$	8.70905	−	6.09814i	0.517699	−	0.362497i	−0.285337	−	0.958427i	$-0.592106\pi$
$283$	8.70905	−	6.09814i	0.517699	−	0.362497i	0.803036	+	0.595930i	$0.203217\pi$
$284$	3.75160	−	28.6347i	0.222617	−	1.69916i
$285$	−8.15091	+	4.70593i	−0.482818	+	0.278755i
$286$	−2.87855	−	0.442130i	−0.170212	−	0.0261437i
$287$	−1.35903	−	7.70746i	−0.0802212	−	0.454957i
$288$	−0.346839	−	14.8316i	−0.0204377	−	0.873961i
$289$	−5.81405	−	15.9740i	−0.342003	−	0.939646i
$290$	−12.1041	+	27.5321i	−0.710779	+	1.61674i
$291$	−0.588040	−	0.274208i	−0.0344715	−	0.0160743i
$292$	−5.96949	−	9.35729i	−0.349338	−	0.547594i
$293$	11.1342	−	13.2692i	0.650464	−	0.775193i	−0.335520	−	0.942033i	$-0.608912\pi$
$293$	11.1342	−	13.2692i	0.650464	−	0.775193i	0.985984	+	0.166840i	$0.0533564\pi$
$294$	3.06961	−	0.895751i	0.179023	−	0.0522413i
$295$	9.29784			0.541341
$296$	−11.9955	−	12.3332i	−0.697225	−	0.716852i
$297$	1.00689			0.0584257
$298$	−6.06448	+	1.76969i	−0.351306	+	0.102516i
$299$	18.1622	−	21.6449i	1.05035	−	1.25176i
$300$	−5.77489	+	3.68409i	−0.333413	+	0.212701i
$301$	27.0828	+	12.6289i	1.56103	+	0.727919i
$302$	−2.76422	+	6.28750i	−0.159063	+	0.361805i
$303$	−1.29782	−	3.56574i	−0.0745580	−	0.204847i
$304$	−6.42312	+	17.7163i	−0.368391	+	1.01610i
$305$	1.57445	+	8.92916i	0.0901529	+	0.511282i
$306$	−0.106966	−	0.0164294i	−0.00611484	−	0.000939205i
$307$	−7.36630	+	4.25293i	−0.420417	+	0.242728i	−0.695256	−	0.718763i	$-0.744709\pi$
$307$	−7.36630	+	4.25293i	−0.420417	+	0.242728i	0.274839	+	0.961490i	$0.411376\pi$
$308$	1.88918	+	0.247513i	0.107646	+	0.0141034i
$309$	−6.49033	+	4.54458i	−0.369222	+	0.258532i
$310$	0.614012	+	0.836858i	0.0348736	+	0.0475303i
$311$	25.3406	−	11.8165i	1.43694	−	0.670054i	0.460858	−	0.887474i	$-0.347542\pi$
$311$	25.3406	−	11.8165i	1.43694	−	0.670054i	0.976078	+	0.217420i	$0.0697641\pi$
$312$	8.85914	−	8.49673i	0.501550	−	0.481032i
$313$	4.81943	+	3.37460i	0.272410	+	0.190744i	0.701797	−	0.712377i	$-0.252381\pi$
$313$	4.81943	+	3.37460i	0.272410	+	0.190744i	−0.429387	+	0.903121i	$0.641270\pi$
$314$	6.08007	+	12.3194i	0.343118	+	0.695227i
$315$	27.7662	−	2.42922i	1.56445	−	0.136871i
$316$	−18.6901	+	2.47250i	−1.05140	+	0.139089i
$317$	−20.2860	−	7.38349i	−1.13937	−	0.414698i	−0.297687	−	0.954664i	$-0.596215\pi$
$317$	−20.2860	−	7.38349i	−1.13937	−	0.414698i	−0.841687	+	0.539965i	$0.818437\pi$
$318$	0.634555	−	0.663280i	0.0355841	−	0.0371949i
$319$	−1.84136	+	0.493392i	−0.103097	+	0.0276247i
$320$	−7.77644	+	24.8261i	−0.434716	+	1.38782i
$321$	4.45580	+	5.31021i	0.248698	+	0.296387i
$322$	−11.5661	+	14.4203i	−0.644553	+	0.803611i
$323$	0.119048	+	0.0687326i	0.00662403	+	0.00382438i
$324$	6.98996	−	9.12130i	0.388331	−	0.506739i
$325$	38.0433	+	10.1937i	2.11027	+	0.565444i
$326$	13.1749	−	11.5614i	0.729691	−	0.640326i
$327$	−8.33781	+	8.33781i	−0.461082	+	0.461082i
$328$	4.24460	+	5.27850i	0.234369	+	0.291457i
$329$	3.86371	−	21.9122i	0.213013	−	1.20806i
$330$	−0.779951	−	0.264486i	−0.0429349	−	0.0145595i
$331$	0.802401	−	9.17149i	0.0441040	−	0.504111i	−0.941728	−	0.336375i	$-0.890799\pi$
$331$	0.802401	−	9.17149i	0.0441040	−	0.504111i	0.985832	−	0.167735i	$-0.0536454\pi$
$332$	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
$336$	−5.67152	+	5.68573i	−0.309407	+	0.310182i
$337$	1.81135	+	0.319390i	0.0986705	+	0.0173983i	0.222765	−	0.974872i	$-0.428492\pi$
$337$	1.81135	+	0.319390i	0.0986705	+	0.0173983i	−0.124095	+	0.992270i	$0.539603\pi$
$338$	−52.0832	−	3.39735i	−2.83295	−	0.184791i
$339$	−5.87742	+	5.87742i	−0.319218	+	0.319218i
$340$	0.168386	+	0.0875222i	0.00913200	+	0.00474656i
$341$	−0.0170278	+	0.0635486i	−0.000922107	+	0.00344135i
$342$	−14.9354	+	9.06941i	−0.807613	+	0.490417i
$343$	−9.39494	−	5.42417i	−0.507279	−	0.292878i
$344$	−25.8053	+	1.71569i	−1.39133	+	0.0925040i
$345$	6.12099	−	5.13612i	0.329543	−	0.276519i
$346$	−15.2093	−	10.1556i	−0.817655	−	0.545969i
$347$	14.5557	−	3.90018i	0.781389	−	0.209372i	0.153992	−	0.988072i	$-0.450787\pi$
$347$	14.5557	−	3.90018i	0.781389	−	0.209372i	0.627397	+	0.778700i	$0.284120\pi$
$348$	3.07020	−	7.42527i	0.164580	−	0.398036i
$349$	2.51767	−	6.91725i	0.134768	−	0.370272i	−0.853891	−	0.520453i	$-0.825763\pi$
$349$	2.51767	−	6.91725i	0.134768	−	0.370272i	0.988659	+	0.150180i	$0.0479855\pi$
$350$	−25.0307	−	6.11667i	−1.33795	−	0.326950i
$351$	24.3087	−	2.12674i	1.29750	−	0.113517i
$352$	−1.53594	+	0.600061i	−0.0818657	+	0.0319833i
$353$	11.8102	−	16.8668i	0.628596	−	0.897728i	−0.370926	−	0.928663i	$-0.620960\pi$
$353$	11.8102	−	16.8668i	0.628596	−	0.897728i	0.999521	+	0.0309349i	$0.00984844\pi$
$354$	−2.48342	+	0.0549657i	−0.131992	+	0.00292139i
$355$	−42.5576	+	19.8449i	−2.25872	+	1.05326i
$356$	−16.3913	−	10.4280i	−0.868737	−	0.552683i
$357$	0.0336010	+	0.0479872i	0.00177835	+	0.00253975i
$358$	−8.30106	+	15.1421i	−0.438725	+	0.800283i
$359$	−29.5841	+	17.0804i	−1.56139	+	0.901469i	−0.564272	+	0.825589i	$0.690843\pi$
$359$	−29.5841	+	17.0804i	−1.56139	+	0.901469i	−0.997117	+	0.0758800i	$0.975823\pi$
$360$	−20.0444	+	13.4205i	−1.05643	+	0.707322i
$361$	3.14677	−	0.554861i	0.165620	−	0.0292032i
$362$	0.479456	+	4.36527i	0.0251997	+	0.229433i
$363$	2.29339	+	6.30104i	0.120372	+	0.330719i
$364$	46.1322	+	1.98526i	2.41798	+	0.104056i
$365$	−7.62703	+	16.3562i	−0.399217	+	0.856124i
$366$	−0.473316	−	2.37564i	−0.0247406	−	0.124176i
$367$	9.27761	−	11.0566i	0.484287	−	0.577151i	−0.467468	−	0.884010i	$-0.654834\pi$
$367$	9.27761	−	11.0566i	0.484287	−	0.577151i	0.951755	+	0.306859i	$0.0992781\pi$
$368$	2.75841	−	15.7590i	0.143792	−	0.821497i
$369$			6.28051i			0.326950i
$370$	−6.45022	+	27.2205i	−0.335331	+	1.41513i
$371$	3.45295			0.179268
$372$	−0.168948	−	0.219892i	−0.00875952	−	0.0114009i
$373$	17.8547	+	14.9819i	0.924481	+	0.775732i	0.974818	−	0.223000i	$-0.0715851\pi$
$373$	17.8547	+	14.9819i	0.924481	+	0.775732i	−0.0503369	+	0.998732i	$0.516030\pi$
$374$	0.00235038	+	0.0117969i	0.000121535	+	0.000610003i
$375$	1.04135	+	0.485587i	0.0537748	+	0.0250756i
$376$	6.20698	+	18.2290i	0.320101	+	0.940087i
$377$	−43.4127	+	15.8009i	−2.23587	+	0.813790i
$378$	−15.8689	+	1.74295i	−0.816208	+	0.0896477i
$379$	−3.29261	−	18.6733i	−0.169130	−	0.959184i	−0.944703	−	0.327926i	$-0.893650\pi$
$379$	−3.29261	−	18.6733i	−0.169130	−	0.959184i	0.775573	−	0.631258i	$-0.217461\pi$
$380$	29.9106	−	6.65065i	1.53438	−	0.341171i
$381$	−2.30795	−	3.99748i	−0.118240	−	0.204797i
$382$	11.7656	−	21.4618i	0.601981	−	1.09808i
$383$	5.78568	−	4.05118i	0.295634	−	0.207005i	−0.416343	−	0.909207i	$-0.636689\pi$
$383$	5.78568	−	4.05118i	0.295634	−	0.207005i	0.711978	+	0.702202i	$0.247800\pi$
$384$	1.93029	−	6.67693i	0.0985049	−	0.340731i
$385$	−1.30928	−	2.80775i	−0.0667269	−	0.143096i
$386$	−0.737721	−	33.3311i	−0.0375490	−	1.69651i
$387$	−19.6435	−	13.7545i	−0.998533	−	0.699180i
$388$	1.55826	+	1.42609i	0.0791085	+	0.0723986i
$389$	0.511140	+	5.84235i	0.0259158	+	0.296219i	0.998081	+	0.0619224i	$0.0197231\pi$
$389$	0.511140	+	5.84235i	0.0259158	+	0.296219i	−0.972165	+	0.234297i	$0.924721\pi$
$390$	−19.3885	−	4.73791i	−0.981775	−	0.239913i
$391$	−0.109666	−	0.0399150i	−0.00554603	−	0.00201859i
$392$	−10.4079	−	0.217328i	−0.525677	−	0.0109767i
$393$	−2.51693	−	9.39331i	−0.126962	−	0.473830i
$394$	−17.6094	+	26.3722i	−0.887148	+	1.32861i
$395$	19.7042	+	23.4826i	0.991428	+	1.18154i
$396$	−1.45851	−	0.458864i	−0.0732931	−	0.0230588i
$397$	13.3314	−	23.0907i	0.669084	−	1.15889i	−0.309076	−	0.951037i	$-0.600020\pi$
$397$	13.3314	−	23.0907i	0.669084	−	1.15889i	0.978161	−	0.207851i	$-0.0666468\pi$
$398$	17.3754	−	10.5511i	0.870952	−	0.528880i
$399$	9.13636	+	2.44808i	0.457390	+	0.122557i
$400$	21.5335	−	5.79876i	1.07667	−	0.289938i
$401$	25.7777	+	25.7777i	1.28727	+	1.28727i	0.936436	+	0.350839i	$0.114104\pi$
$401$	25.7777	+	25.7777i	1.28727	+	1.28727i	0.350839	+	0.936436i	$0.385896\pi$
$402$	0.172073	−	2.63796i	0.00858220	−	0.131570i
$403$	−0.276865	+	1.57018i	−0.0137916	+	0.0782162i
$404$	0.546577	+	12.3415i	0.0271932	+	0.614011i
$405$	−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	0.486683	−	0.873579i	$-0.338207\pi$
$409$	16.4677	+	1.44074i	0.814277	+	0.0712400i	0.327594	+	0.944819i	$0.393762\pi$
$410$	3.53688	−	10.4300i	0.174674	−	0.515102i
$411$	−0.293137	−	0.0516880i	−0.0144594	−	0.00254958i
$412$	24.5960	−	7.77201i	1.21176	−	0.382899i
$413$	−6.60725	−	6.60725i	−0.325122	−	0.325122i
$414$	11.1500	−	9.78448i	0.547994	−	0.480881i
$415$	11.7698	−	43.9254i	0.577755	−	2.15621i
$416$	−35.8137	+	17.7311i	−1.75591	+	0.869337i
$417$	−5.61716	+	9.72920i	−0.275073	+	0.476441i
$418$	1.51506	+	1.21518i	0.0741038	+	0.0594365i
$419$	15.0337	−	12.6147i	0.734443	−	0.616270i	−0.196896	−	0.980424i	$-0.563086\pi$
$419$	15.0337	−	12.6147i	0.734443	−	0.616270i	0.931339	+	0.364154i	$0.118642\pi$
$420$	12.7501	+	2.81826i	0.622141	+	0.137517i
$421$	−5.43168	−	20.2713i	−0.264724	−	0.987963i	−0.962419	−	0.271568i	$-0.912458\pi$
$421$	−5.43168	−	20.2713i	−0.264724	−	0.987963i	0.697695	−	0.716395i	$-0.254209\pi$
$422$	27.6073	−	28.8570i	1.34390	−	1.40474i
$423$	−6.10690	+	16.7786i	−0.296928	+	0.815802i
$424$	−2.61866	+	1.43985i	−0.127173	+	0.0699251i
$425$	−0.0141780	−	0.162055i	−0.000687732	−	0.00786082i
$426$	11.2496	−	5.55209i	0.545047	−	0.268999i
$427$	5.22642	−	7.46410i	0.252924	−	0.361213i
$428$	−8.64930	−	20.8444i	−0.418080	−	1.00755i
$429$	−0.534654	−	1.14657i	−0.0258133	−	0.0553569i
$430$	24.8760	+	33.9043i	1.19963	+	1.63501i
$431$	9.57322	+	13.6720i	0.461126	+	0.658556i	0.980620	−	0.195918i	$-0.0627686\pi$
$431$	9.57322	+	13.6720i	0.461126	+	0.658556i	−0.519495	+	0.854474i	$0.673880\pi$
$432$	11.3079	−	7.93899i	0.544052	−	0.381965i
$433$	−6.89065	−	11.9349i	−0.331143	−	0.573557i	0.651593	−	0.758569i	$-0.274101\pi$
$433$	−6.89065	−	11.9349i	−0.331143	−	0.573557i	−0.982736	+	0.185012i	$0.940768\pi$
$434$	0.158359	−	1.03102i	0.00760148	−	0.0494906i
$435$	−12.8662	+	2.26865i	−0.616885	+	0.108773i
$436$	34.0395	−	17.7469i	1.63019	−	0.849922i
$437$	−17.7068	+	6.44474i	−0.847030	+	0.308294i
$438$	1.94046	−	4.41377i	0.0927186	−	0.210898i
$439$	−3.34524	+	7.17389i	−0.159660	+	0.342391i	−0.969822	−	0.243815i	$-0.921601\pi$
$439$	−3.34524	+	7.17389i	−0.159660	+	0.342391i	0.810162	+	0.586206i	$0.199379\pi$
$440$	2.16374	+	1.58340i	0.103152	+	0.0754855i
$441$	−7.39431	−	6.20456i	−0.352110	−	0.295455i
$442$	0.0816610	+	0.279840i	0.00388422	+	0.0133106i
$443$			7.89569i			0.375136i	0.982252	+	0.187568i	$0.0600604\pi$
$443$			7.89569i			0.375136i	−0.982252	+	0.187568i	$0.939940\pi$
$444$	1.56191	−	7.30862i	0.0741250	−	0.346852i
$445$			31.5882i			1.49742i
$446$	9.13625	−	2.66607i	0.432614	−	0.126242i
$447$	−2.10223	−	1.76398i	−0.0994321	−	0.0834334i
$448$	23.1681	−	12.1159i	1.09459	−	0.572421i
$449$	7.91282	−	16.9691i	0.373429	−	0.800821i	−0.626345	−	0.779546i	$-0.715450\pi$
$449$	7.91282	−	16.9691i	0.373429	−	0.800821i	0.999774	−	0.0212747i	$-0.00677246\pi$
$450$	18.9292	+	8.32196i	0.892329	+	0.392301i
$451$	0.655983	−	0.238758i	0.0308890	−	0.0112427i
$452$	23.9948	−	12.5100i	1.12862	−	0.588421i
$453$	−2.93824	+	0.518092i	−0.138051	+	0.0243421i
$454$	8.46546	+	1.30025i	0.397304	+	0.0610237i
$455$	−37.5395	−	65.0204i	−1.75988	−	3.04820i
$456$	−7.94968	+	1.95318i	−0.372278	+	0.0914663i
$457$	13.6580	+	19.5057i	0.638895	+	0.912436i	0.999797	−	0.0201674i	$-0.00641991\pi$
$457$	13.6580	+	19.5057i	0.638895	+	0.912436i	−0.360902	+	0.932604i	$0.617531\pi$
$458$	0.181310	−	0.133029i	0.00847206	−	0.00621605i
$459$	−0.0425941	−	0.0913433i	−0.00198812	−	0.00426354i
$460$	−24.0269	+	9.96990i	−1.12026	+	0.464849i
$461$	−4.79602	+	6.84943i	−0.223373	+	0.319010i	−0.915159	−	0.403093i	$-0.867935\pi$
$461$	−4.79602	+	6.84943i	−0.223373	+	0.319010i	0.691786	+	0.722102i	$0.256824\pi$
$462$	0.366301	+	0.742200i	0.0170419	+	0.0345303i
$463$	1.32839	+	15.1835i	0.0617353	+	0.705638i	0.962491	+	0.271313i	$0.0874577\pi$
$463$	1.32839	+	15.1835i	0.0617353	+	0.705638i	−0.900756	+	0.434326i	$0.856987\pi$
$464$	−16.7893	+	20.0596i	−0.779421	+	0.931243i
$465$	−0.154211	+	0.423691i	−0.00715137	+	0.0196482i
$466$	−18.2165	−	17.4276i	−0.843862	−	0.807316i
$467$	5.94945	+	22.2037i	0.275308	+	1.02746i	0.955635	+	0.294554i	$0.0951711\pi$
$467$	5.94945	+	22.2037i	0.275308	+	1.02746i	−0.680327	+	0.732909i	$0.738162\pi$
$468$	−36.1812	−	7.99742i	−1.67247	−	0.369681i
$469$	7.61771	−	6.39202i	0.351753	−	0.295156i
$470$	19.5906	−	24.4250i	0.903646	−	1.12664i
$471$	−2.98390	+	5.16827i	−0.137491	+	0.238141i
$472$	7.76598	+	2.25567i	0.357458	+	0.103826i
$473$	−0.689860	+	2.57459i	−0.0317198	+	0.118380i
$474$	−5.40174	−	6.15562i	−0.248110	−	0.282737i
$475$	−18.5725	−	18.5725i	−0.852167	−	0.852167i
$476$	−0.0574634	−	0.181854i	−0.00263383	−	0.00833526i
$477$	−2.72883	−	0.481167i	−0.124945	−	0.0220311i
$478$	−35.7986	−	12.1395i	−1.63739	−	0.555248i
$479$	20.4431	+	1.78854i	0.934070	+	0.0817205i	0.544019	−	0.839073i	$-0.316902\pi$
$479$	20.4431	+	1.78854i	0.934070	+	0.0817205i	0.390051	+	0.920793i	$0.372457\pi$
$480$	−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
$484$	−0.965859	−	21.8087i	−0.0439027	−	0.991303i
$485$	0.596407	−	3.38239i	0.0270814	−	0.153587i
$486$	19.6049	+	1.27881i	0.889297	+	0.0580082i
$487$	−2.29590	−	2.29590i	−0.104037	−	0.104037i	0.653172	−	0.757209i	$-0.273438\pi$
$487$	−2.29590	−	2.29590i	−0.104037	−	0.104037i	−0.757209	+	0.653172i	$0.773438\pi$
$488$	−0.851175	+	7.84001i	−0.0385309	+	0.354901i
$489$	7.35482	+	1.97072i	0.332597	+	0.0891190i
$490$	8.78560	+	14.4680i	0.396893	+	0.653598i
$491$	13.7446	−	23.8064i	0.620286	−	1.07437i	−0.369146	−	0.929371i	$-0.620350\pi$
$491$	13.7446	−	23.8064i	0.620286	−	1.07437i	0.989432	−	0.144996i	$-0.0463168\pi$
$492$	−0.883027	+	2.80673i	−0.0398099	+	0.126537i
$493$	0.122654	+	0.146173i	0.00552406	+	0.00658332i
$494$	39.1437	+	26.1373i	1.76116	+	1.17597i
$495$	0.643450	+	2.40139i	0.0289209	+	0.107934i
$496$	0.309828	+	0.847943i	0.0139117	+	0.0380738i
$497$	44.3446	+	16.1401i	1.98913	+	0.723983i
$498$	−2.88399	+	11.8019i	−0.129235	+	0.528855i
$499$	−2.46261	−	28.1477i	−0.110241	−	1.26007i	−0.826783	−	0.562521i	$-0.809832\pi$
$499$	−2.46261	−	28.1477i	−0.110241	−	1.26007i	0.716541	−	0.697544i	$-0.245724\pi$
$500$	−2.75948	−	2.52542i	−0.123408	−	0.112940i
$501$	−4.41598	−	3.09210i	−0.197291	−	0.138145i
$502$	2.49561	−	0.0552355i	0.111385	−	0.00246528i
$503$	7.36411	+	15.7924i	0.328350	+	0.704148i	0.999302	−	0.0373523i	$-0.0118924\pi$
$503$	7.36411	+	15.7924i	0.328350	+	0.704148i	−0.670953	+	0.741500i	$0.734115\pi$
$504$	23.7809	+	4.70712i	1.05929	+	0.209672i
$505$	16.4539	−	11.5212i	0.732191	−	0.512685i
$506$	−1.44584	−	0.792626i	−0.0642754	−	0.0352365i
$507$	−11.3364	−	19.6353i	−0.503468	−	0.872033i
$508$	3.26170	+	14.6692i	0.144715	+	0.650839i
$509$	−0.575237	−	3.26233i	−0.0254969	−	0.144600i	0.969402	−	0.245480i	$-0.0789455\pi$
$509$	−0.575237	−	3.26233i	−0.0254969	−	0.144600i	−0.994899	+	0.100879i	$0.967834\pi$
$510$	0.00900029	+	0.0819442i	0.000398540	+	0.00362855i
$511$	17.0430	−	6.20315i	0.753939	−	0.274411i
$512$	−12.5181	+	18.8493i	−0.553227	+	0.833031i
$513$	−14.7484	−	6.87730i	−0.651158	−	0.303640i
$514$	23.5405	−	4.69015i	1.03833	−	0.206874i
$515$	−32.1290	−	26.9594i	−1.41577	−	1.18798i
$516$	−6.84470	−	8.90864i	−0.301321	−	0.392181i
$517$	1.98464			0.0872842
$518$	23.9271	−	14.7598i	1.05130	−	0.648509i
$519$		−	7.94434i		−	0.348718i
$520$	55.5822	+	33.6568i	2.43744	+	1.47595i
$521$	−4.02864	+	4.80115i	−0.176498	+	0.210342i	−0.847040	−	0.531530i	$-0.821617\pi$
$521$	−4.02864	+	4.80115i	−0.176498	+	0.210342i	0.670542	+	0.741872i	$0.266062\pi$
$522$	−23.7873	+	4.73933i	−1.04114	+	0.207435i
$523$	−9.24384	+	19.8235i	−0.404205	+	0.866820i	0.593856	+	0.804571i	$0.297605\pi$
$523$	−9.24384	+	19.8235i	−0.404205	+	0.866820i	−0.998061	+	0.0622484i	$0.980173\pi$
$524$	−1.36117	+	31.6301i	−0.0594632	+	1.38177i
$525$	−3.82830	−	10.5182i	−0.167081	−	0.459051i
$526$	0.481498	−	0.0528850i	0.0209943	−	0.00230590i
$527$	0.00648534	−	0.00114354i	0.000282506	−	4.98134e-5i
$528$	−0.587286	−	0.410128i	−0.0255584	−	0.0178485i
$529$	−6.06455	+	3.50137i	−0.263676	+	0.152234i
$530$	4.26080	+	2.33582i	0.185077	+	0.101461i
$531$	4.30093	+	6.14236i	0.186644	+	0.266556i
$532$	−25.9812	−	16.5290i	−1.12643	−	0.716624i
$533$	15.3327	−	7.14974i	0.664132	−	0.309690i
$534$	−0.186738	−	8.43707i	−0.00808096	−	0.365108i
$535$	−21.0470	+	30.0582i	−0.909941	+	1.29953i
$536$	−3.11174	+	8.02411i	−0.134407	+	0.346589i
$537$	−7.47270	+	0.653777i	−0.322471	+	0.0282125i
$538$	3.65986	−	14.9769i	0.157788	−	0.645700i
$539$	−0.366950	+	1.00819i	−0.0158057	+	0.0434257i
$540$	−20.7606	−	8.58411i	−0.893394	−	0.369401i
$541$	−0.846529	+	0.226827i	−0.0363951	+	0.00975205i	−0.276971	−	0.960878i	$-0.589330\pi$
$541$	−0.846529	+	0.226827i	−0.0363951	+	0.00975205i	0.240576	+	0.970630i	$0.422664\pi$
$542$	−11.8349	+	17.7242i	−0.508354	+	0.761321i
$543$	−1.46135	+	1.22622i	−0.0627127	+	0.0526222i
$544$	0.119410	+	0.113953i	0.00511968	+	0.00488570i
$545$	−54.0554	−	31.2089i	−2.31548	−	1.33684i
$546$	10.4110	+	17.1448i	0.445551	+	0.733728i
$547$	−4.12564	+	15.3971i	−0.176400	+	0.658332i	0.819909	+	0.572493i	$0.194024\pi$
$547$	−4.12564	+	15.3971i	−0.176400	+	0.658332i	−0.996309	+	0.0858389i	$0.972643\pi$
$548$	0.859840	+	0.446921i	0.0367306	+	0.0190915i
$549$	−5.17050	+	5.17050i	−0.220672	+	0.220672i
$550$	0.149601	−	2.29347i	0.00637902	−	0.0977937i
$551$	30.3413	+	5.34999i	1.29258	+	0.227917i
$552$	6.35856	−	2.80496i	0.270638	−	0.119387i
$553$	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	0.946841	+	0.321701i	$0.104254\pi$
$557$	−0.978917	+	11.1891i	−0.0414781	+	0.474096i	−0.988320	+	0.152396i	$0.951301\pi$
$558$	−0.268822	+	0.792738i	−0.0113801	+	0.0335593i
$559$	−11.2168	+	63.6139i	−0.474422	+	2.69058i
$560$	−36.8420	−	21.2093i	−1.55686	−	0.896258i
$561$	−0.00369481	+	0.00369481i	−0.000155995	+	0.000155995i
$562$	18.0763	+	20.5991i	0.762502	+	0.868919i
$563$	−21.1160	−	5.65801i	−0.889932	−	0.238457i	−0.215245	−	0.976560i	$-0.569055\pi$
$563$	−21.1160	−	5.65801i	−0.889932	−	0.238457i	−0.674687	+	0.738104i	$0.735722\pi$
$564$	−5.08818	+	6.63964i	−0.214251	+	0.279579i
$565$	−38.1043	−	21.9995i	−1.60306	−	0.925526i
$566$	−11.7290	−	9.40747i	−0.493006	−	0.395426i
$567$	12.0702	+	14.3848i	0.506903	+	0.604103i
$568$	−40.3604	+	6.25085i	−1.69349	+	0.262280i
$569$	−4.84378	+	1.29789i	−0.203062	+	0.0544102i	−0.358916	−	0.933370i	$-0.616854\pi$
$569$	−4.84378	+	1.29789i	−0.203062	+	0.0544102i	0.155854	+	0.987780i	$0.450187\pi$
$570$	9.61782	+	9.20130i	0.402846	+	0.385400i
$571$	−15.8076	−	5.75348i	−0.661525	−	0.240776i	−0.0106306	−	0.999943i	$-0.503384\pi$
$571$	−15.8076	−	5.75348i	−0.661525	−	0.240776i	−0.650895	+	0.759168i	$0.725606\pi$
$572$	0.540144	+	4.08306i	0.0225845	+	0.170721i
$573$	10.5915	−	0.926639i	0.442467	−	0.0387109i
$574$	−9.92518	+	4.89842i	−0.414269	+	0.204456i
$575$	18.2660	+	12.7900i	0.761744	+	0.533379i
$576$	−19.9979	+	6.34659i	−0.833244	+	0.264441i
$577$	40.8989	−	19.0715i	1.70264	−	0.793956i	0.706359	−	0.707854i	$-0.250337\pi$
$577$	40.8989	−	19.0715i	1.70264	−	0.793956i	0.996286	−	0.0861023i	$-0.0274412\pi$
$578$	−19.3828	+	14.2214i	−0.806219	+	0.591532i
$579$	11.8634	−	8.30682i	0.493025	−	0.345220i
$580$	42.1725	+	5.52528i	1.75112	+	0.229425i
$581$	−39.5782	+	22.8505i	−1.64198	+	0.947998i
$582$	−0.139302	+	0.906949i	−0.00577427	+	0.0375943i
$583$	0.0534820	+	0.303311i	0.00221500	+	0.0125619i
$584$	−10.3385	+	11.8111i	−0.427810	+	0.488748i
$585$	20.6066	+	56.6161i	0.851977	+	2.34079i
$586$	−22.4250	−	9.85888i	−0.926370	−	0.407267i
$587$	−24.0765	−	11.2270i	−0.993742	−	0.463390i	−0.143426	−	0.989661i	$-0.545812\pi$
$587$	−24.0765	−	11.2270i	−0.993742	−	0.463390i	−0.850317	+	0.526271i	$0.823590\pi$
$588$	−2.43213	−	3.81241i	−0.100299	−	0.157221i
$589$	0.683466	−	0.814523i	0.0281617	−	0.0335619i
$590$	−3.68346	−	12.6227i	−0.151646	−	0.519667i
$591$	−13.7751			−0.566633
$592$	−11.9913	+	21.1710i	−0.492838	+	0.870121i
$593$	−1.66886			−0.0685320			−0.0342660	−	0.999413i	$-0.510909\pi$
$593$	−1.66886			−0.0685320			−0.0342660	+	0.999413i	$0.510909\pi$
$594$	−0.398893	−	1.36695i	−0.0163668	−	0.0560865i
$595$	−0.199328	+	0.237550i	−0.00817167	+	0.00973862i
$596$	4.80504	+	7.53200i	0.196822	+	0.308523i
$597$	8.00313	+	3.73192i	0.327546	+	0.152737i
$598$	−36.5802	−	16.0820i	−1.49587	−	0.657642i
$599$	−3.99615	−	10.9793i	−0.163278	−	0.448604i	0.830891	−	0.556436i	$-0.187831\pi$
$599$	−3.99615	−	10.9793i	−0.163278	−	0.448604i	−0.994169	+	0.107832i	$0.965609\pi$
$600$	7.28929	+	6.38044i	0.297584	+	0.260480i
$601$	−1.21490	−	6.89003i	−0.0495568	−	0.281050i	0.949952	−	0.312396i	$-0.101132\pi$
$601$	−1.21490	−	6.89003i	−0.0495568	−	0.281050i	−0.999509	+	0.0313461i	$0.990021\pi$
$602$	6.41572	−	41.7705i	0.261485	−	1.70244i
$603$	−6.91093	+	3.99003i	−0.281435	+	0.162486i
$604$	9.63095	+	1.26181i	0.391878	+	0.0513422i
$605$	−29.0758	+	20.3591i	−1.18210	+	0.827716i
$606$	−4.32667	+	3.17453i	−0.175759	+	0.128956i
$607$	−38.4061	+	17.9091i	−1.55886	+	0.726907i	−0.995085	−	0.0990241i	$-0.968428\pi$
$607$	−38.4061	+	17.9091i	−1.55886	+	0.726907i	−0.563771	+	0.825931i	$0.690650\pi$
$608$	26.5962	+	1.70143i	1.07862	+	0.0690020i
$609$	10.7551	+	7.53082i	0.435820	+	0.305164i
$610$	11.4984	−	5.67486i	0.465557	−	0.229768i
$611$	47.9138	−	4.19192i	1.93839	−	0.169587i
$612$	0.0200715	+	0.151725i	0.000811344	+	0.00613311i
$613$	14.3202	+	5.21213i	0.578387	+	0.210516i	0.614614	−	0.788828i	$-0.289312\pi$
$613$	14.3202	+	5.21213i	0.578387	+	0.210516i	−0.0362269	+	0.999344i	$0.511534\pi$
$614$	8.69200	+	8.31557i	0.350781	+	0.335589i
$615$	4.62117	−	1.23824i	0.186344	−	0.0499306i
$616$	−0.412402	−	2.66280i	−0.0166162	−	0.107287i
$617$	7.94874	+	9.47293i	0.320004	+	0.381366i	0.901935	−	0.431872i	$-0.142147\pi$
$617$	7.94874	+	9.47293i	0.320004	+	0.381366i	−0.581931	+	0.813238i	$0.697702\pi$
$618$	8.74091	+	7.01083i	0.351611	+	0.282017i
$619$	−24.9503	−	14.4051i	−1.00284	−	0.578989i	−0.0937510	−	0.995596i	$-0.529886\pi$
$619$	−24.9503	−	14.4051i	−1.00284	−	0.578989i	−0.909087	+	0.416607i	$0.863219\pi$
$620$	0.892863	−	1.16511i	0.0358582	−	0.0467920i
$621$	13.3446	+	3.57567i	0.535500	+	0.143487i
$622$	−26.0810	−	29.7210i	−1.04575	−	1.19170i
$623$	22.4472	−	22.4472i	0.899330	−	0.899330i
$624$	−15.0447	−	8.66100i	−0.602272	−	0.346718i
$625$	3.78440	−	21.4624i	0.151376	−	0.858497i
$626$	2.67205	−	7.87971i	0.106797	−	0.314936i
$627$	−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	−0.468372	−	0.883531i	$-0.655159\pi$
$631$	3.67521	−	42.0079i	0.146308	−	1.67231i	0.614680	−	0.788776i	$-0.289285\pi$
$632$	10.7610	+	24.3940i	0.428048	+	0.970342i
$633$	17.0846	+	3.01247i	0.679050	+	0.119735i
$634$	−1.98722	+	30.4651i	−0.0789226	+	1.20993i
$635$	17.2775	−	17.2775i	0.685638	−	0.685638i
$636$	−1.15185	−	0.598699i	−0.0456738	−	0.0237400i
$637$	−6.72957	+	25.1151i	−0.266635	+	0.995096i
$638$	1.39930	+	2.30436i	0.0553990	+	0.0912304i
$639$	−32.7960	−	18.9348i	−1.29739	−	0.749048i
$640$	36.7845	+	0.722050i	1.45403	+	0.0285415i
$641$	16.9103	−	14.1894i	0.667915	−	0.560447i	−0.244532	−	0.969641i	$-0.578634\pi$
$641$	16.9103	−	14.1894i	0.667915	−	0.560447i	0.912447	+	0.409194i	$0.134190\pi$
$642$	5.44388	−	8.15286i	0.214853	−	0.321768i
$643$	1.83074	−	0.490545i	0.0721974	−	0.0193452i	−0.222540	−	0.974924i	$-0.571435\pi$
$643$	1.83074	−	0.490545i	0.0721974	−	0.0193452i	0.294737	+	0.955578i	$0.404768\pi$
$644$	24.1589	+	9.98924i	0.951994	+	0.393631i
$645$	−6.24767	+	17.1653i	−0.246002	+	0.675884i
$646$	0.0461483	−	0.188848i	0.00181568	−	0.00743014i
$647$	−29.7591	+	2.60359i	−1.16995	+	0.102358i	−0.655523	−	0.755175i	$-0.727552\pi$
$647$	−29.7591	+	2.60359i	−1.16995	+	0.102358i	−0.514430	+	0.857533i	$0.671996\pi$
$648$	−15.1522	−	5.87599i	−0.595233	−	0.230831i
$649$	0.478051	−	0.682727i	0.0187651	−	0.0267994i
$650$	−1.23250	−	55.6857i	−0.0483424	−	2.18417i
$651$	0.410670	−	0.191499i	0.0160954	−	0.00750542i
$652$	−20.9150	−	13.3060i	−0.819096	−	0.521102i
$653$	13.8472	+	19.7758i	0.541881	+	0.773887i	0.992941	−	0.118607i	$-0.0378428\pi$
$653$	13.8472	+	19.7758i	0.541881	+	0.773887i	−0.451060	+	0.892494i	$0.648954\pi$
$654$	14.6225	+	8.01622i	0.571784	+	0.313459i
$655$	44.5807	−	25.7387i	1.74191	−	1.00569i
$656$	5.48450	−	7.85358i	0.214134	−	0.306631i
$657$	−14.3333	+	2.52735i	−0.559197	+	0.0986015i
$658$	−31.2784	+	3.43545i	−1.21936	+	0.133928i
$659$	−1.48986	−	4.09335i	−0.0580366	−	0.159454i	0.907286	−	0.420514i	$-0.138150\pi$
$659$	−1.48986	−	4.09335i	−0.0580366	−	0.159454i	−0.965323	+	0.261060i	$0.915928\pi$
$660$	−0.0500759	+	1.16363i	−0.00194920	+	0.0452944i
$661$	−13.3102	+	28.5437i	−0.517705	+	1.11022i	0.457559	+	0.889179i	$0.348724\pi$
$661$	−13.3102	+	28.5437i	−0.517705	+	1.11022i	−0.975264	+	0.221043i	$0.929054\pi$
$662$	−12.7690	+	2.54407i	−0.496282	+	0.0988780i
$663$	−0.0813974	+	0.0970056i	−0.00316121	+	0.00376739i
$664$	20.4870	−	33.8331i	0.795051	−	1.31298i
$665$			50.0692i			1.94160i
$666$	−20.9662	+	8.33030i	−0.812422	+	0.322792i
$667$	−26.1562			−1.01277
$668$	10.6928	+	13.9171i	0.413717	+	0.538468i
$669$	3.16705	+	2.65747i	0.122445	+	0.102744i
$670$	13.7239	−	2.73433i	0.530202	−	0.105636i
$671$	0.736606	+	0.343485i	0.0284364	+	0.0132601i
$672$	9.96575	+	5.44713i	0.384437	+	0.210128i
$673$	−11.4824	+	4.17927i	−0.442616	+	0.161099i	−0.553708	−	0.832711i	$-0.686787\pi$
$673$	−11.4824	+	4.17927i	−0.442616	+	0.161099i	0.111092	+	0.993810i	$0.464565\pi$
$674$	−0.283988	−	2.58560i	−0.0109388	−	0.0995937i
$675$	3.34399	+	18.9647i	0.128710	+	0.729952i
$676$	16.0212	+	72.0536i	0.616200	+	2.77129i
$677$	14.8109	+	25.6532i	0.569228	+	0.985932i	0.996643	+	0.0818762i	$0.0260912\pi$
$677$	14.8109	+	25.6532i	0.569228	+	0.985932i	−0.427414	+	0.904056i	$0.640575\pi$
$678$	10.3076	+	5.65072i	0.395859	+	0.217015i
$679$	−2.82742	+	1.97978i	−0.108506	+	0.0759771i
$680$	0.0521113	−	0.263272i	0.00199838	−	0.0100960i
$681$	1.57235	+	3.37192i	0.0602526	+	0.129212i
$682$	0.0930189	−	0.00205879i	0.00356188	−	7.88353e-5i
$683$	−11.4796	−	8.03810i	−0.439255	−	0.307569i	0.332949	−	0.942945i	$-0.391956\pi$
$683$	−11.4796	−	8.03810i	−0.439255	−	0.307569i	−0.772203	+	0.635376i	$0.780845\pi$
$684$	18.2294	+	16.6832i	0.697018	+	0.637898i
$685$	−0.137327	−	1.56966i	−0.00524700	−	0.0599735i
$686$	−3.64189	+	14.9034i	−0.139048	+	0.569013i
$687$	0.0917951	+	0.0334107i	0.00350220	+	0.00127470i
$688$	12.5523	+	34.3534i	0.478552	+	1.30971i
$689$	1.93183	+	7.20969i	0.0735969	+	0.274667i
$690$	−9.39766	−	6.27507i	−0.357763	−	0.238888i
$691$	17.3891	+	20.7235i	0.661512	+	0.788360i	0.987602	−	0.156979i	$-0.0501755\pi$
$691$	17.3891	+	20.7235i	0.661512	+	0.788360i	−0.326090	+	0.945339i	$0.605731\pi$
$692$	−7.76184	+	24.6712i	−0.295061	+	0.937860i
$693$	1.24923	−	2.16373i	0.0474543	−	0.0821932i
$694$	−11.0613	−	18.2155i	−0.419880	−	0.691452i
$695$	−57.4423	−	15.3916i	−2.17891	−	0.583837i
$696$	−11.2968	−	1.22647i	−0.428203	−	0.0464892i
$697$	−0.0494095	−	0.0494095i	−0.00187152	−	0.00187152i
$698$	−10.3882	−	0.677616i	−0.393200	−	0.0256481i
$699$	1.90167	−	10.7849i	0.0719278	−	0.407923i
$700$	1.61228	+	36.4047i	0.0609386	+	1.37597i
$701$	−27.0216	−	2.36409i	−1.02059	−	0.0892903i	−0.435444	−	0.900216i	$-0.643408\pi$
$701$	−27.0216	−	2.36409i	−1.02059	−	0.0892903i	−0.585149	+	0.810926i	$0.698964\pi$
$702$	−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
$706$	−27.5770	−	9.35150i	−1.03787	−	0.351948i
$707$	−19.8797	−	3.50533i	−0.747654	−	0.131832i
$708$	1.05846	+	3.34969i	0.0397793	+	0.125889i
$709$	−11.8684	−	11.8684i	−0.445728	−	0.445728i	0.448204	−	0.893932i	$-0.352064\pi$
$709$	−11.8684	−	11.8684i	−0.445728	−	0.445728i	−0.893932	+	0.448204i	$0.852064\pi$
$710$	43.8010	+	49.9140i	1.64382	+	1.87324i
$711$	−6.39848	+	23.8795i	−0.239962	+	0.895550i
$712$	−7.66334	+	26.3839i	−0.287196	+	0.988778i
$713$	−0.451348	+	0.781758i	−0.0169031	+	0.0292771i
$714$	0.0518355	−	0.0646271i	0.00193990	−	0.00241861i
$715$	5.13003	−	4.30460i	0.191852	−	0.160983i
$716$	23.8453	+	5.27073i	0.891141	+	0.196976i
$717$	−4.24997	−	15.8611i	−0.158718	−	0.592344i
$718$	34.9083	+	33.3965i	1.30277	+	1.24635i
$719$	11.1561	−	30.6511i	0.416052	−	1.14309i	−0.537867	−	0.843029i	$-0.680770\pi$
$719$	11.1561	−	30.6511i	0.416052	−	1.14309i	0.953919	−	0.300064i	$-0.0970079\pi$
$720$	26.1604	+	21.8954i	0.974940	+	0.815995i
$721$	3.67361	+	41.9896i	0.136812	+	1.56377i
$722$	−1.99991	−	4.05222i	−0.0744289	−	0.150808i
$723$	3.35474	−	4.79106i	0.124764	−	0.178182i
$724$	5.73631	−	2.38026i	0.213188	−	0.0884617i
$725$	−15.4084	−	33.0433i	−0.572252	−	1.22720i
$726$	7.64569	−	5.60973i	0.283758	−	0.208197i
$727$	−2.53089	−	3.61448i	−0.0938653	−	0.134054i	0.769473	−	0.638680i	$-0.220519\pi$
$727$	−2.53089	−	3.61448i	−0.0938653	−	0.134054i	−0.863338	+	0.504626i	$0.831630\pi$
$728$	−15.5807	−	63.4151i	−0.577459	−	2.35032i
$729$	−4.35152	−	7.53705i	−0.161167	−	0.279150i
$730$	25.2266	+	3.87467i	0.933679	+	0.143408i
$731$	0.262745	−	0.0463291i	0.00971799	−	0.00171354i
$732$	−3.03763	+	1.58371i	−0.112274	+	0.0585355i
$733$	12.2079	−	4.44330i	0.450908	−	0.164117i	−0.106577	−	0.994304i	$-0.533989\pi$
$733$	12.2079	−	4.44330i	0.450908	−	0.164117i	0.557484	+	0.830188i	$0.311767\pi$
$734$	−18.6858	−	8.21498i	−0.689706	−	0.303220i
$735$	−3.10746	+	6.66396i	−0.114620	+	0.245804i
$736$	−22.4871	+	2.49834i	−0.828886	+	0.0920901i
$737$	0.679472	+	0.570145i	0.0250287	+	0.0210015i
$738$	8.52637	−	2.48810i	0.313860	−	0.0915884i
$739$			19.8802i			0.731306i	0.930751	+	0.365653i	$0.119154\pi$
$739$			19.8802i			0.731306i	−0.930751	+	0.365653i	$0.880846\pi$
$740$	39.5096	−	2.02698i	1.45240	−	0.0745132i
$741$			20.4462i			0.751108i
$742$	−1.36793	−	4.68770i	−0.0502183	−	0.172091i
$743$	3.66739	+	3.07730i	0.134543	+	0.112895i	0.707576	−	0.706637i	$-0.249789\pi$
$743$	3.66739	+	3.07730i	0.134543	+	0.112895i	−0.573033	+	0.819533i	$0.694233\pi$
$744$	−0.231592	+	0.316475i	−0.00849059	+	0.0116025i
$745$	6.13926	−	13.1657i	0.224925	−	0.482353i
$746$	13.2659	−	30.1747i	0.485699	−	1.10477i
$747$	34.4625	−	12.5433i	1.26092	−	0.458936i
$748$	0.0150842	−	0.00786435i	0.000551534	−	0.000287549i
$749$	36.3165	−	6.40358i	1.32698	−	0.233982i
$750$	0.246687	−	1.60609i	0.00900774	−	0.0586462i
$751$	−1.79419	−	3.10762i	−0.0654708	−	0.113399i	0.831432	−	0.555627i	$-0.187522\pi$
$751$	−1.79419	−	3.10762i	−0.0654708	−	0.113399i	−0.896903	+	0.442228i	$0.854188\pi$
$752$	22.2885	−	15.6482i	0.812778	−	0.570630i
$753$	0.621958	+	0.888249i	0.0226654	+	0.0323696i
$754$	38.6497	+	52.6770i	1.40754	+	1.91838i
$755$	−6.67461	−	14.3138i	−0.242914	−	0.520931i
$756$	8.65288	+	20.8530i	0.314702	+	0.758416i
$757$	21.2755	−	30.3845i	0.773270	−	1.10434i	−0.218440	−	0.975850i	$-0.570097\pi$
$757$	21.2755	−	30.3845i	0.773270	−	1.10434i	0.991710	−	0.128494i	$-0.0410143\pi$
$758$	−24.0463	+	11.8677i	−0.873402	+	0.431054i
$759$	−0.0624258	−	0.713530i	−0.00226591	−	0.0258995i
$760$	−20.8783	−	37.9716i	−0.757337	−	1.37738i
$761$	−10.6859	+	29.3592i	−0.387363	+	1.06427i	0.580822	+	0.814031i	$0.302731\pi$
$761$	−10.6859	+	29.3592i	−0.387363	+	1.06427i	−0.968184	+	0.250239i	$0.919491\pi$
$762$	−4.51262	+	4.71690i	−0.163475	+	0.170875i
$763$	16.2352	+	60.5907i	0.587755	+	2.19353i
$764$	−33.7975	−	7.47054i	−1.22275	−	0.270274i
$765$	0.190630	−	0.159957i	0.00689224	−	0.00578327i
$766$	−7.79191	−	6.24966i	−0.281533	−	0.225810i
$767$	10.0992	−	17.4924i	0.364662	−	0.631613i
$768$	−9.82925	+	0.0246004i	−0.354683	+	0.000887692i
$769$	1.65951	−	6.19337i	0.0598434	−	0.223339i	−0.929527	−	0.368753i	$-0.879785\pi$
$769$	1.65951	−	6.19337i	0.0598434	−	0.223339i	0.989371	+	0.145414i	$0.0464515\pi$
$770$	−3.29310	+	2.88979i	−0.118675	+	0.104141i
$771$	7.37294	+	7.37294i	0.265530	+	0.265530i
$772$	−44.9578	+	14.2061i	−1.61807	+	0.511288i
$773$	22.7771	+	4.01621i	0.819234	+	0.144453i	0.567532	−	0.823352i	$-0.307899\pi$
$773$	22.7771	+	4.01621i	0.819234	+	0.144453i	0.251702	+	0.967805i	$0.419010\pi$
$774$	−10.8910	+	32.1168i	−0.391468	+	1.15441i
$775$	−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
$780$	1.24886	+	28.1987i	0.0447163	+	1.00967i
$781$	−0.730923	+	4.14527i	−0.0261545	+	0.148329i
$782$	−0.0107429	+	0.164694i	−0.000384164	+	0.00588945i
$783$	−15.9726	−	15.9726i	−0.570815	−	0.570815i
$784$	3.82817	+	14.2158i	0.136720	+	0.507705i
$785$	−30.5140	−	8.17620i	−1.08909	−	0.291821i
$786$	−11.7552	+	7.13824i	−0.419293	+	0.254613i
$787$	9.35183	−	16.1978i	0.333357	−	0.577391i	−0.649811	−	0.760096i	$-0.725152\pi$
$787$	9.35183	−	16.1978i	0.333357	−	0.577391i	0.983168	+	0.182705i	$0.0584854\pi$
$788$	42.7788	+	13.4587i	1.52393	+	0.479446i
$789$	0.135255	+	0.161190i	0.00481520	+	0.00573853i
$790$	24.0737	−	36.0532i	0.856503	−	1.28272i
$791$	11.4444	+	42.7111i	0.406916	+	1.51863i
$792$	−0.0451418	+	2.16185i	−0.00160405	+	0.0768180i
$793$	18.5089	+	6.73669i	0.657271	+	0.239227i
$794$	−36.6291	−	8.95094i	−1.29992	−	0.317657i
$795$	0.183965	+	2.10273i	0.00652456	+	0.0745761i
$796$	−21.2076	−	19.4088i	−0.751684	−	0.687927i
$797$	12.3111	+	8.62033i	0.436082	+	0.305348i	0.770925	−	0.636926i	$-0.219794\pi$
$797$	12.3111	+	8.62033i	0.436082	+	0.305348i	−0.334843	+	0.942274i	$0.608683\pi$
$798$	−0.295992	−	13.3733i	−0.0104780	−	0.473409i
$799$	−0.0839552	−	0.180043i	−0.00297012	−	0.00636945i
$800$	−16.4031	−	26.9364i	−0.579937	−	0.952345i
$801$	−20.8678	+	14.6118i	−0.737329	+	0.516283i
$802$	24.7834	−	45.2077i	0.875132	−	1.59634i
$803$	0.808868	+	1.40100i	0.0285443	+	0.0494402i
$804$	−3.64945	+	0.811459i	−0.128706	+	0.0286180i
$805$	−7.38130	−	41.8614i	−0.260157	−	1.47542i
$806$	2.24135	−	0.246177i	0.0789481	−	0.00867122i
$807$	6.29345	−	2.29063i	0.221540	−	0.0806340i
$808$	16.5381	−	5.63126i	0.581810	−	0.198107i
$809$	−10.1029	−	4.71108i	−0.355200	−	0.165633i	0.236824	−	0.971553i	$-0.423893\pi$
$809$	−10.1029	−	4.71108i	−0.355200	−	0.165633i	−0.592025	+	0.805920i	$0.701671\pi$
$810$	5.16331	+	25.9153i	0.181420	+	0.910572i
$811$	−36.4653	−	30.5980i	−1.28047	−	1.07444i	−0.993179	−	0.116598i	$-0.962801\pi$
$811$	−36.4653	−	30.5980i	−1.28047	−	1.07444i	−0.287291	−	0.957843i	$-0.592755\pi$
$812$	−26.0423	−	33.8951i	−0.913907	−	1.18949i
$813$	−9.25800			−0.324692
$814$	1.66712	+	1.87318i	0.0584326	+	0.0656549i
$815$			40.3060i			1.41186i
$816$	−0.0123623	+	0.0706270i	−0.000432768	+	0.00247244i
$817$	27.6898	−	32.9994i	0.968743	−	1.15450i
$818$	−4.56796	−	22.9272i	−0.159715	−	0.801631i
$819$	25.5891	−	54.8761i	0.894157	−	1.91753i
$820$	−15.5609	−	0.669648i	−0.543410	−	0.0233851i
$821$	3.31325	+	9.10308i	0.115633	+	0.317700i	0.983986	−	0.178248i	$-0.0570430\pi$
$821$	3.31325	+	9.10308i	0.115633	+	0.317700i	−0.868352	+	0.495948i	$0.834821\pi$
$822$	0.0459588	+	0.418437i	0.00160300	+	0.0145947i
$823$	17.9721	−	3.16896i	0.626468	−	0.110463i	0.148603	−	0.988897i	$-0.452522\pi$
$823$	17.9721	−	3.16896i	0.626468	−	0.110463i	0.477864	+	0.878434i	$0.341411\pi$
$824$	−20.2952	−	30.3123i	−0.707018	−	1.05598i
$825$	0.864633	−	0.499196i	0.0301027	−	0.0173798i
$826$	−6.35240	+	11.5875i	−0.221028	+	0.403181i
$827$	−1.88991	−	2.69907i	−0.0657187	−	0.0938560i	0.784947	−	0.619562i	$-0.212690\pi$
$827$	−1.88991	−	2.69907i	−0.0657187	−	0.0938560i	−0.850666	+	0.525706i	$0.823801\pi$
$828$	−17.7005	−	11.2609i	−0.615137	−	0.391344i
$829$	−39.3607	+	18.3542i	−1.36705	+	0.637468i	−0.961043	−	0.276401i	$-0.910858\pi$
$829$	−39.3607	+	18.3542i	−1.36705	+	0.637468i	−0.406011	+	0.913868i	$0.633081\pi$
$830$	−64.2955	+	1.42306i	−2.23173	+	0.0493950i
$831$	−0.887621	+	1.26765i	−0.0307912	+	0.0439744i
$832$	38.2596	+	41.5960i	1.32641	+	1.44208i
$833$	0.106984	−	0.00935988i	0.00370677	−	0.000324300i
$834$	15.4336	+	3.77146i	0.534422	+	0.130595i
$835$	9.76012	−	26.8157i	0.337763	−	0.927996i
$836$	1.04951	−	2.53824i	0.0362981	−	0.0877867i
$837$	−0.753012	+	0.201769i	−0.0260279	+	0.00697415i
$838$	−23.0814	−	15.4121i	−0.797335	−	0.532402i
$839$	−36.5228	+	30.6463i	−1.26091	+	1.05803i	−0.265322	+	0.964160i	$0.585478\pi$
$839$	−36.5228	+	30.6463i	−1.26091	+	1.05803i	−0.995585	+	0.0938671i	$0.970077\pi$
$840$	−1.22507	−	18.4259i	−0.0422688	−	0.635754i
$841$	11.9222	+	6.88330i	0.411111	+	0.237355i
$842$	−25.3683	+	15.4047i	−0.874250	+	0.530882i
$843$	−3.08123	+	11.4993i	−0.106123	+	0.396057i
$844$	−50.1130	−	26.0474i	−1.72496	−	0.896587i
$845$	84.8657	−	84.8657i	2.91947	−	2.91947i
$846$	25.1978	+	1.64363i	0.866317	+	0.0565093i
$847$	35.1296	+	6.19429i	1.20707	+	0.212838i
$848$	2.99214	+	2.98466i	0.102750	+	0.102494i
$849$	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	0.954173	+	0.299255i	$0.0967382\pi$
$853$	−1.09433	+	12.5082i	−0.0374691	+	0.428274i	−0.991642	+	0.129019i	$0.958817\pi$
$854$	−12.2037	−	4.13834i	−0.417602	−	0.141611i
$855$	6.97711	−	39.5692i	0.238612	−	1.35324i
$856$	−24.8716	+	20.0000i	−0.850094	+	0.683585i
$857$	−7.86696	+	7.86696i	−0.268730	+	0.268730i	−0.828588	−	0.559858i	$-0.810856\pi$
$857$	−7.86696	+	7.86696i	−0.268730	+	0.268730i	0.559858	+	0.828588i	$0.310856\pi$
$858$	−1.34476	+	1.18007i	−0.0459094	+	0.0402869i
$859$	19.7684	+	5.29693i	0.674490	+	0.180729i	0.579776	−	0.814776i	$-0.303140\pi$
$859$	19.7684	+	5.29693i	0.674490	+	0.180729i	0.0947134	+	0.995505i	$0.469807\pi$
$860$	36.1732	−	47.2030i	1.23350	−	1.60961i
$861$	−4.16382	−	2.40398i	−0.141903	−	0.0819276i
$862$	14.7684	−	18.4128i	0.503014	−	0.627144i
$863$	−2.59540	−	3.09308i	−0.0883485	−	0.105290i	0.720059	−	0.693913i	$-0.244115\pi$
$863$	−2.59540	−	3.09308i	−0.0883485	−	0.105290i	−0.808408	+	0.588623i	$0.799670\pi$
$864$	−15.2577	−	12.2064i	−0.519077	−	0.415270i
$865$	40.6203	−	10.8842i	1.38113	−	0.370073i
$866$	−13.4730	+	14.0829i	−0.457830	+	0.478555i
$867$	−9.81330	−	3.57175i	−0.333277	−	0.121303i
$868$	−1.46244	+	0.193465i	−0.0496385	+	0.00656663i
$869$	2.73739	−	0.239491i	0.0928596	−	0.00812416i
$870$	8.17699	+	16.5682i	0.277226	+	0.561716i
$871$	17.6083	+	12.3295i	0.596635	+	0.417768i
$872$	−37.5782	−	39.1810i	−1.27256	−	1.32684i
$873$	2.51037	−	1.17060i	0.0849630	−	0.0396189i
$874$	15.7641	+	21.4854i	0.533228	+	0.726754i
$875$	5.00701	−	3.50595i	0.169268	−	0.118523i
$876$	−6.76083	−	0.885777i	−0.228427	−	0.0299276i
$877$	13.6620	−	7.88777i	0.461334	−	0.266351i	−0.251271	−	0.967917i	$-0.580849\pi$
$877$	13.6620	−	7.88777i	0.461334	−	0.266351i	0.712605	+	0.701566i	$0.247515\pi$
$878$	11.0645	+	1.69944i	0.373408	+	0.0573534i
$879$	−1.84783	−	10.4796i	−0.0623257	−	0.353467i
$880$	1.29242	−	3.56476i	0.0435673	−	0.120168i
$881$	9.36191	+	25.7216i	0.315411	+	0.866584i	0.991540	+	0.129801i	$0.0414338\pi$
$881$	9.36191	+	25.7216i	0.315411	+	0.866584i	−0.676129	+	0.736783i	$0.736344\pi$
$882$	−5.49391	+	12.4965i	−0.184990	+	0.420778i
$883$	28.9860	+	13.5164i	0.975458	+	0.454864i	0.843933	−	0.536449i	$-0.180235\pi$
$883$	28.9860	+	13.5164i	0.975458	+	0.454864i	0.131525	+	0.991313i	$0.458013\pi$
$884$	0.347558	−	0.221725i	0.0116896	−	0.00745741i
$885$	3.67157	−	4.37560i	0.123418	−	0.147084i
$886$	10.7191	−	3.12798i	0.360116	−	0.105086i
$887$	38.8413			1.30416			0.652081	−	0.758149i	$-0.273896\pi$
$887$	38.8413			1.30416			0.652081	+	0.758149i	$0.273896\pi$
$888$	−10.5409	+	0.774965i	−0.353729	+	0.0260061i
$889$	−24.5556			−0.823569
$890$	42.8838	−	12.5141i	1.43747	−	0.419472i
$891$	−1.07662	+	1.28307i	−0.0360682	+	0.0429844i
$892$	−7.23888	−	11.3471i	−0.242376	−	0.379929i
$893$	−29.0699	−	13.5555i	−0.972788	−	0.453618i
$894$	−1.56194	+	3.55279i	−0.0522391	+	0.118823i
$895$	−13.5808	−	37.3130i	−0.453957	−	1.24724i
$896$	−25.6267	−	26.6530i	−0.856129	−	0.890413i
$897$	−3.01421	−	17.0945i	−0.100642	−	0.570767i
$898$	−26.1719	−	4.01985i	−0.873366	−	0.134144i
$899$	1.27821	−	0.737974i	0.0426307	−	0.0246128i
$900$	3.79880	−	28.9949i	0.126627	−	0.966497i
$901$	0.0252534	−	0.0176826i	0.000841314	−	0.000589094i
$902$	−0.584012	−	0.795970i	−0.0194455	−	0.0265029i
$903$	16.6378	−	7.75833i	0.553671	−	0.258181i
$904$	−26.4893	−	27.6192i	−0.881022	−	0.918600i
$905$	−8.27194	−	5.79207i	−0.274968	−	0.192535i
$906$	1.86738	+	3.78369i	0.0620396	+	0.125705i
$907$	−47.4545	+	4.15173i	−1.57570	+	0.137856i	−0.841190	−	0.540740i	$-0.818144\pi$
$907$	−47.4545	+	4.15173i	−1.57570	+	0.137856i	−0.734512	+	0.678596i	$0.762589\pi$
$908$	−1.58849	−	12.0078i	−0.0527161	−	0.398491i
$909$	15.2223	+	5.54046i	0.504891	+	0.183765i
$910$	−73.3994	+	76.7220i	−2.43316	+	2.54331i
$911$	−5.26321	+	1.41027i	−0.174378	+	0.0467244i	−0.344951	−	0.938621i	$-0.612105\pi$
$911$	−5.26321	+	1.41027i	−0.174378	+	0.0467244i	0.170574	+	0.985345i	$0.445438\pi$
$912$	5.80100	+	10.0186i	0.192090	+	0.331750i
$913$	−2.62023	−	3.12267i	−0.0867170	−	0.103345i
$914$	21.0699	−	26.2694i	0.696931	−	0.868915i
$915$	4.82383	+	2.78504i	0.159471	+	0.0920705i
$916$	−0.252428	−	0.193444i	−0.00834044	−	0.00639156i
$917$	−49.9705	−	13.3895i	−1.65017	−	0.442162i
$918$	−0.107133	+	0.0940122i	−0.00353591	+	0.00310286i
$919$	21.4294	−	21.4294i	0.706889	−	0.706889i	−0.258990	−	0.965880i	$-0.583390\pi$
$919$	21.4294	−	21.4294i	0.706889	−	0.706889i	0.965880	+	0.258990i	$0.0833898\pi$
$920$	23.0536	+	28.6691i	0.760056	+	0.945191i
$921$	−0.907383	+	5.14603i	−0.0298993	+	0.169567i
$922$	11.1987	+	3.79755i	0.368811	+	0.125066i
$923$	−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
$928$	33.8840	+	14.8461i	1.11230	+	0.487347i
$929$	−23.0012	−	4.05574i	−0.754646	−	0.133064i	−0.216926	−	0.976188i	$-0.569603\pi$
$929$	−23.0012	−	4.05574i	−0.754646	−	0.133064i	−0.537720	+	0.843124i	$0.680714\pi$
$930$	0.636293	+	0.0415049i	0.0208649	+	0.00136100i
$931$	12.2611	−	12.2611i	0.401840	−	0.401840i
$932$	−16.4428	+	31.6347i	−0.538603	+	1.03623i
$933$	4.44570	−	16.5916i	0.145546	−	0.543184i
$934$	27.7866	−	16.8732i	0.909204	−	0.552108i
$935$	−0.0239541	−	0.0138299i	−0.000783382	−	0.000452286i
$936$	3.47639	+	52.2875i	0.113629	+	1.70907i
$937$	−20.1843	+	16.9366i	−0.659392	+	0.553296i	−0.909905	−	0.414818i	$-0.863845\pi$
$937$	−20.1843	+	16.9366i	−0.659392	+	0.553296i	0.250512	+	0.968113i	$0.419401\pi$
$938$	−11.6956	−	7.80946i	−0.381875	−	0.254988i
$939$	3.49122	−	0.935469i	0.113932	−	0.0305279i
$940$	−40.9203	−	16.9197i	−1.33467	−	0.551861i
$941$	8.88666	−	24.4159i	0.289697	−	0.795936i	−0.706412	−	0.707801i	$-0.749687\pi$
$941$	8.88666	−	24.4159i	0.289697	−	0.795936i	0.996109	−	0.0881344i	$-0.0280905\pi$
$942$	8.19851	+	2.00344i	0.267122	+	0.0652757i
$943$	9.54180	−	0.834799i	0.310724	−	0.0271848i
$944$	−0.0143117	−	11.4366i	−0.000465805	−	0.372231i
$945$	21.0557	−	30.0707i	0.684942	−	0.978199i
$946$	3.76854	−	0.0834095i	0.122526	−	0.00271188i
$947$	53.1354	−	24.7775i	1.72667	−	0.805159i	0.734743	−	0.678346i	$-0.237303\pi$
$947$	53.1354	−	24.7775i	1.72667	−	0.805159i	0.991927	−	0.126813i	$-0.0404748\pi$
$948$	−6.21685	+	9.77199i	−0.201914	+	0.317380i
$949$	22.4872	+	32.1150i	0.729964	+	1.04250i
$950$	−17.8562	+	32.5717i	−0.579331	+	1.05677i
$951$	−11.4853	+	6.63105i	−0.372437	+	0.215026i
$952$	−0.224118	+	0.150056i	−0.00726372	+	0.00486333i
$953$	−5.41788	+	0.955318i	−0.175502	+	0.0309458i	−0.260709	−	0.965418i	$-0.583956\pi$
$953$	−5.41788	+	0.955318i	−0.175502	+	0.0309458i	0.0852063	+	0.996363i	$0.472845\pi$
$954$	0.427834	+	3.89526i	0.0138516	+	0.126114i
$955$	19.2490	+	52.8861i	0.622882	+	1.71135i
$956$	−2.29841	+	53.4092i	−0.0743360	+	1.72738i
$957$	−0.494933	+	1.06139i	−0.0159989	+	0.0343097i
$958$	−5.67069	−	28.4620i	−0.183212	−	0.919564i
$959$	−1.01785	+	1.21302i	−0.0328679	+	0.0391705i
$960$	8.61248	+	13.4631i	0.277967	+	0.434518i
$961$			30.9491i			0.998357i
$962$	44.2047	+	41.7017i	1.42522	+	1.34452i
$963$	−29.5929			−0.953618
$964$	−15.0992	+	11.6010i	−0.486312	+	0.373644i
$965$	58.7271	+	49.2779i	1.89049	+	1.58631i
$966$	2.21899	+	11.1374i	0.0713947	+	0.358339i
$967$	21.7281	+	10.1320i	0.698728	+	0.325822i	0.739321	−	0.673354i	$-0.235147\pi$
$967$	21.7281	+	10.1320i	0.698728	+	0.325822i	−0.0405926	+	0.999176i	$0.512925\pi$
$968$	−29.2246	+	9.95103i	−0.939315	+	0.319838i
$969$	0.0793561	−	0.0288833i	0.00254929	−	0.000927864i
$970$	−4.82818	+	0.530301i	−0.155024	+	0.0170269i
$971$	0.328836	+	1.86492i	0.0105529	+	0.0598482i	0.989629	−	0.143644i	$-0.0458820\pi$
$971$	0.328836	+	1.86492i	0.0105529	+	0.0598482i	−0.979077	+	0.203492i	$0.934771\pi$
$972$	−6.03063	−	27.1221i	−0.193432	−	0.869941i
$973$	29.8821	+	51.7574i	0.957977	+	1.65926i
$974$	−2.20735	+	4.02645i	−0.0707280	+	0.129016i
$975$	19.8199	−	13.8780i	0.634745	−	0.444453i
$976$	10.9807	−	1.95037i	0.351485	−	0.0624299i
$977$	−5.86104	−	12.5690i	−0.187511	−	0.402119i	0.789969	−	0.613147i	$-0.210097\pi$
$977$	−5.86104	−	12.5690i	−0.187511	−	0.402119i	−0.977480	+	0.211028i	$0.932319\pi$
$978$	−0.238275	−	10.7656i	−0.00761920	−	0.344245i
$979$	2.31947	+	1.62411i	0.0741307	+	0.0519069i
$980$	16.1611	−	17.6589i	0.516248	−	0.564094i
$981$	−4.38726	−	50.1466i	−0.140074	−	1.60106i
$982$	−37.7644	−	9.22838i	−1.20511	−	0.294489i
$983$	42.2950	+	15.3941i	1.34900	+	0.490996i	0.912636	−	0.408774i	$-0.134044\pi$
$983$	42.2950	+	15.3941i	1.34900	+	0.490996i	0.436365	+	0.899770i	$0.356266\pi$
$984$	4.16021	+	0.0868698i	0.132623	+	0.00276931i
$985$	−18.8727	−	70.4337i	−0.601333	−	2.24420i
$986$	0.149853	−	0.224423i	0.00477229	−	0.00714707i
$987$	−8.78625	−	10.4710i	−0.279669	−	0.333297i
$988$	19.9765	−	63.4958i	0.635536	−	2.02007i
$989$	−18.2858	+	31.6720i	−0.581455	+	1.00711i
$990$	3.00519	−	1.82488i	0.0955113	−	0.0579986i
$991$	1.00866	+	0.270270i	0.0320412	+	0.00858541i	0.274804	−	0.961500i	$-0.411387\pi$
$991$	1.00866	+	0.270270i	0.0320412	+	0.00858541i	−0.242763	+	0.970086i	$0.578054\pi$
$992$	1.02842	−	0.756543i	0.0326523	−	0.0240203i
$993$	−3.99929	−	3.99929i	−0.126913	−	0.126913i
$994$	4.34401	−	66.5959i	0.137783	−	2.11229i
$995$	−8.11700	+	46.0338i	−0.257326	+	1.45937i
$996$	17.1647	−	0.760185i	0.543883	−	0.0240874i
$997$	−23.5466	−	2.06006i	−0.745727	−	0.0652427i	−0.292043	−	0.956405i	$-0.594335\pi$
$997$	−23.5466	−	2.06006i	−0.745727	−	0.0652427i	−0.453684	+	0.891163i	$0.649891\pi$
$998$	−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.187.16	yes	432
8.3	odd	2	inner	296.2.bj.a.187.13	yes	432
37.19	odd	36	inner	296.2.bj.a.19.13	✓	432
296.19	even	36	inner	296.2.bj.a.19.16	yes	432

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.bj.a.19.13	✓	432	37.19	odd	36	inner
296.2.bj.a.19.16	yes	432	296.19	even	36	inner
296.2.bj.a.187.13	yes	432	8.3	odd	2	inner
296.2.bj.a.187.16	yes	432	1.1	even	1	trivial

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+(-0.396163 - 1.35759i) q^{2} +(0.394884 - 0.470604i) q^{3} +(-1.68611 + 1.07565i) q^{4} +(2.94726 + 1.37433i) q^{5} +(-0.795327 - 0.349655i) q^{6} +(-1.11776 - 3.07102i) q^{7} +(2.12827 + 1.86291i) q^{8} +(0.455409 + 2.58276i) q^{9} +(0.698185 - 4.54564i) q^{10} +(0.252449 - 0.145752i) q^{11} +(-0.159610 + 1.21825i) q^{12} +(5.78687 - 4.05201i) q^{13} +(-3.72638 + 2.73408i) q^{14} +(1.81059 - 0.844293i) q^{15} +(1.68594 - 3.62734i) q^{16} +(-0.0239016 - 0.0167361i) q^{17} +(3.32591 - 1.64145i) q^{18} +(-4.69326 + 0.410607i) q^{19} +(-6.44771 + 0.852962i) q^{20} +(-1.88662 - 0.686673i) q^{21} +(-0.297882 - 0.284982i) q^{22} +(3.86337 - 1.03519i) q^{23} +(1.71712 - 0.265940i) q^{24} +(3.58363 + 4.27081i) q^{25} +(-7.79351 - 6.25095i) q^{26} +(2.99137 + 1.72707i) q^{27} +(5.18802 + 3.97575i) q^{28} +(-6.31679 - 1.69258i) q^{29} +(-1.86349 - 2.12357i) q^{30} +(-0.159589 + 0.159589i) q^{31} +(-5.59236 - 0.851793i) q^{32} +(0.0310968 - 0.176359i) q^{33} +(-0.0132518 + 0.0390788i) 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} +(3.71232 + 8.41545i) q^{40} +(2.35838 + 0.415847i) q^{41} +(-0.184814 + 2.83329i) q^{42} +(-6.46557 + 6.46557i) q^{43} +(-0.268879 + 0.517302i) q^{44} +(-2.20735 + 8.23794i) q^{45} +(-2.93589 - 4.83478i) q^{46} +(5.89614 + 3.40414i) q^{47} +(-1.04129 - 2.22579i) q^{48} +(-2.81946 + 2.36581i) q^{49} +(4.37831 - 6.55704i) q^{50} +(-0.0173144 + 0.00463938i) q^{51} +(-5.39874 + 13.0568i) q^{52} +(-0.361365 + 0.992841i) q^{53} +(1.15958 - 4.74525i) q^{54} +(0.944345 - 0.0826195i) q^{55} +(3.34215 - 8.61826i) q^{56} +(-1.66006 + 2.37081i) q^{57} +(0.204646 + 9.24615i) q^{58} +(2.59128 - 1.20834i) q^{59} +(-2.14469 + 3.37114i) q^{60} +(1.59922 + 2.28392i) q^{61} +(0.279881 + 0.153434i) q^{62} +(7.42265 - 4.28547i) q^{63} +(1.05910 + 7.92958i) q^{64} +(22.6242 - 3.98926i) q^{65} +(-0.251742 + 0.0276500i) q^{66} +(1.04070 + 2.85930i) q^{67} +(0.0583029 + 0.00250901i) q^{68} +(1.03842 - 2.22690i) q^{69} +(-14.7401 + 2.93679i) q^{70} +(-9.28166 + 11.0614i) q^{71} +(-3.84222 + 6.34520i) q^{72} +5.54963i q^{73} +(1.73988 + 8.42454i) q^{74} +3.42498 q^{75} +(7.47169 - 5.74066i) q^{76} +(-0.729784 - 0.612361i) q^{77} +(-6.01926 + 1.19926i) q^{78} +(8.54328 + 3.98380i) q^{79} +(9.95406 - 8.37370i) q^{80} +(-5.39930 + 1.96519i) q^{81} +(-0.369754 - 3.36647i) q^{82} +(-2.42828 - 13.7715i) q^{83} +(3.91967 - 0.871544i) q^{84} +(-0.0474433 - 0.0821743i) q^{85} +(11.3390 + 6.21618i) q^{86} +(-3.29093 + 2.30433i) q^{87} +(0.808804 + 0.160092i) q^{88} +(4.10515 + 8.80353i) q^{89} +(12.0582 - 0.266886i) q^{90} +(-18.9121 - 13.2424i) q^{91} +(-5.40057 + 5.90109i) q^{92} +(0.0120842 + 0.138123i) q^{93} +(2.28560 - 9.35315i) q^{94} +(-14.3966 - 5.23993i) q^{95} +(-2.60919 + 2.29543i) q^{96} +(-0.273354 - 1.02017i) q^{97} +(4.32877 + 2.89043i) 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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