LMFDB - Embedded newform 961.2.g.w.235.9

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [961,2,Mod(235,961)] 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("961.235"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(961, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([26])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 961 = 31^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	961.g (of order $15$, degree $8$, not minimal)

Newform invariants

comment:select newform

sage:traces = [128,16,0,-16,64,0,-16] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(7)] == traces)

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

Self dual:	no
Analytic conductor:	$7.67362363425$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$16$ over $\Q(\zeta_{15})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			235.9
Character	$\chi$	$=$	961.235
Dual form			961.2.g.w.732.9

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.06472 - 0.773568i) q^{2} +(-1.12774 + 0.502102i) q^{3} +(-0.0828021 + 0.254839i) q^{4} +(-0.00363912 - 0.00630315i) q^{5} +(-0.812323 + 1.40699i) q^{6} +(-0.531904 - 0.590739i) q^{7} +(0.922351 + 2.83870i) q^{8} +(-0.987700 + 1.09695i) q^{9} +(-0.00875058 - 0.00389601i) q^{10} +(-3.89073 + 0.827001i) q^{11} +(-0.0345758 - 0.328967i) q^{12} +(0.659547 - 6.27517i) q^{13} +(-1.02331 - 0.217511i) q^{14} +(0.00726882 + 0.00528110i) q^{15} +(2.74442 + 1.99394i) q^{16} +(-6.14360 - 1.30586i) q^{17} +(-0.203062 + 1.93200i) q^{18} +(-0.390372 - 3.71414i) q^{19} +(0.00190761 - 0.000405476i) q^{20} +(0.896461 + 0.399130i) q^{21} +(-3.50282 + 3.89027i) q^{22} +(0.149463 + 0.460000i) q^{23} +(-2.46549 - 2.73821i) q^{24} +(2.49997 - 4.33008i) q^{25} +(-4.15203 - 7.19153i) q^{26} +(1.70750 - 5.25514i) q^{27} +(0.194586 - 0.0866352i) q^{28} +(1.31103 - 0.952516i) q^{29} +0.0118246 q^{30} -1.50508 q^{32} +(3.97250 - 2.88619i) q^{33} +(-7.55142 + 3.36211i) q^{34} +(-0.00178785 + 0.00550244i) q^{35} +(-0.197762 - 0.342534i) q^{36} +(-3.74519 + 6.48685i) q^{37} +(-3.28878 - 3.65256i) q^{38} +(2.40698 + 7.40792i) q^{39} +(0.0145362 - 0.0161441i) q^{40} +(-3.68055 - 1.63869i) q^{41} +(1.26324 - 0.268510i) q^{42} +(-0.0733272 - 0.697661i) q^{43} +(0.111409 - 1.05999i) q^{44} +(0.0105086 + 0.00223367i) q^{45} +(0.514978 + 0.374153i) q^{46} +(-3.48307 - 2.53060i) q^{47} +(-4.09616 - 0.870666i) q^{48} +(0.665648 - 6.33322i) q^{49} +(-0.687828 - 6.54425i) q^{50} +(7.58406 - 1.61204i) q^{51} +(1.54454 + 0.687675i) q^{52} +(-2.72984 + 3.03180i) q^{53} +(-2.24719 - 6.91615i) q^{54} +(0.0193716 + 0.0215143i) q^{55} +(1.18633 - 2.05479i) q^{56} +(2.30512 + 3.99258i) q^{57} +(0.659046 - 2.02833i) q^{58} +(-12.5189 + 5.57376i) q^{59} +(-0.00194770 + 0.00141509i) q^{60} -5.02369 q^{61} +1.17337 q^{63} +(-7.09134 + 5.15216i) q^{64} +(-0.0419535 + 0.0186789i) q^{65} +(1.99695 - 6.14599i) q^{66} +(7.26276 + 12.5795i) q^{67} +(0.841487 - 1.45750i) q^{68} +(-0.399522 - 0.443715i) q^{69} +(0.00235294 + 0.00724161i) q^{70} +(-6.29869 + 6.99541i) q^{71} +(-4.02493 - 1.79201i) q^{72} +(-4.32653 + 0.919632i) q^{73} +(1.03043 + 9.80387i) q^{74} +(-0.645177 + 6.13845i) q^{75} +(0.978830 + 0.208057i) q^{76} +(2.55804 + 1.85852i) q^{77} +(8.29330 + 6.02544i) q^{78} +(10.2303 + 2.17452i) q^{79} +(0.00258080 - 0.0245547i) q^{80} +(0.250122 + 2.37976i) q^{81} +(-5.18641 + 1.10240i) q^{82} +(-1.83451 - 0.816776i) q^{83} +(-0.175943 + 0.195404i) q^{84} +(0.0141263 + 0.0434762i) q^{85} +(-0.617762 - 0.686094i) q^{86} +(-1.00024 + 1.73246i) q^{87} +(-5.93623 - 10.2819i) q^{88} +(-0.346834 + 1.06744i) q^{89} +(0.0129167 - 0.00575088i) q^{90} +(-4.05780 + 2.94816i) q^{91} -0.129602 q^{92} -5.66611 q^{94} +(-0.0219902 + 0.0159768i) q^{95} +(1.69734 - 0.755703i) q^{96} +(2.24819 - 6.91921i) q^{97} +(-4.19044 - 7.25806i) q^{98} +(2.93570 - 5.08477i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 16 q^{2} - 16 q^{4} + 64 q^{5} - 16 q^{7} + 8 q^{10} - 8 q^{14} + 16 q^{16} - 24 q^{18} - 32 q^{19} - 24 q^{20} - 8 q^{28} - 64 q^{32} + 64 q^{33} + 32 q^{35} + 160 q^{36} - 24 q^{38} + 64 q^{39}+ \cdots - 64 q^{98}+O(q^{100}) $ 128 * q + 16 * q^2 - 16 * q^4 + 64 * q^5 - 16 * q^7 + 8 * q^10 - 8 * q^14 + 16 * q^16 - 24 * q^18 - 32 * q^19 - 24 * q^20 - 8 * q^28 - 64 * q^32 + 64 * q^33 + 32 * q^35 + 160 * q^36 - 24 * q^38 + 64 * q^39 - 32 * q^41 - 16 * q^45 + 64 * q^47 - 16 * q^49 - 32 * q^50 - 32 * q^51 + 192 * q^56 - 64 * q^59 - 128 * q^63 + 32 * q^64 - 64 * q^67 - 32 * q^69 - 176 * q^70 - 48 * q^71 + 48 * q^72 + 40 * q^76 - 64 * q^78 - 40 * q^80 - 16 * q^81 + 88 * q^82 + 128 * q^87 + 40 * q^90 - 256 * q^94 + 96 * q^95 - 64 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/961\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{13}{15}\right)$

Coefficient data

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

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

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

$2$	1.06472	−	0.773568i	0.752874	−	0.546995i	−0.143842	−	0.989601i	$-0.545946\pi$
$2$	1.06472	−	0.773568i	0.752874	−	0.546995i	0.896716	+	0.442605i	$0.145946\pi$
$3$	−1.12774	+	0.502102i	−0.651101	+	0.289889i	−0.705585	−	0.708626i	$-0.749316\pi$
$3$	−1.12774	+	0.502102i	−0.651101	+	0.289889i	0.0544832	+	0.998515i	$0.482649\pi$
$4$	−0.0828021	+	0.254839i	−0.0414011	+	0.127419i
$5$	−0.00363912	−	0.00630315i	−0.00162747	−	0.00281885i	0.865211	−	0.501409i	$-0.167185\pi$
$5$	−0.00363912	−	0.00630315i	−0.00162747	−	0.00281885i	−0.866838	+	0.498590i	$0.833851\pi$
$6$	−0.812323	+	1.40699i	−0.331630	+	0.574399i
$7$	−0.531904	−	0.590739i	−0.201041	−	0.223278i	0.634191	−	0.773176i	$-0.281333\pi$
$7$	−0.531904	−	0.590739i	−0.201041	−	0.223278i	−0.835232	+	0.549898i	$0.814667\pi$
$8$	0.922351	+	2.83870i	0.326100	+	1.00363i
$9$	−0.987700	+	1.09695i	−0.329233	+	0.365651i
$10$	−0.00875058	−	0.00389601i	−0.00276718	−	0.00123203i
$11$	−3.89073	+	0.827001i	−1.17310	+	0.249350i	−0.752933	−	0.658097i	$-0.771362\pi$
$11$	−3.89073	+	0.827001i	−1.17310	+	0.249350i	−0.420167	+	0.907447i	$0.638028\pi$
$12$	−0.0345758	−	0.328967i	−0.00998119	−	0.0949646i
$13$	0.659547	−	6.27517i	0.182925	−	1.74042i	−0.390004	−	0.920813i	$-0.627526\pi$
$13$	0.659547	−	6.27517i	0.182925	−	1.74042i	0.572929	−	0.819605i	$-0.305807\pi$
$14$	−1.02331	−	0.217511i	−0.273490	−	0.0581322i
$15$	0.00726882	+	0.00528110i	0.00187680	+	0.00136358i
$16$	2.74442	+	1.99394i	0.686106	+	0.498485i
$17$	−6.14360	−	1.30586i	−1.49004	−	0.316718i	−0.610300	−	0.792170i	$-0.708951\pi$
$17$	−6.14360	−	1.30586i	−1.49004	−	0.316718i	−0.879742	+	0.475452i	$0.842284\pi$
$18$	−0.203062	+	1.93200i	−0.0478621	+	0.455378i
$19$	−0.390372	−	3.71414i	−0.0895574	−	0.852082i	−0.943424	−	0.331590i	$-0.892415\pi$
$19$	−0.390372	−	3.71414i	−0.0895574	−	0.852082i	0.853866	−	0.520492i	$-0.174252\pi$
$20$	0.00190761		0.000405476i	0.000426555		9.06671e-5i
$21$	0.896461	+	0.399130i	0.195624	+	0.0870973i
$22$	−3.50282	+	3.89027i	−0.746803	+	0.829409i
$23$	0.149463	+	0.460000i	0.0311652	+	0.0959165i	0.965429	−	0.260666i	$-0.0839420\pi$
$23$	0.149463	+	0.460000i	0.0311652	+	0.0959165i	−0.934264	+	0.356582i	$0.883942\pi$
$24$	−2.46549	−	2.73821i	−0.503267	−	0.558934i
$25$	2.49997	−	4.33008i	0.499995	−	0.866016i
$26$	−4.15203	−	7.19153i	−0.814280	−	1.41038i
$27$	1.70750	−	5.25514i	0.328608	−	1.01135i
$28$	0.194586	−	0.0866352i	0.0367733	−	0.0163725i
$29$	1.31103	−	0.952516i	0.243451	−	0.176878i	−0.459368	−	0.888246i	$-0.651924\pi$
$29$	1.31103	−	0.952516i	0.243451	−	0.176878i	0.702820	+	0.711368i	$0.251924\pi$
$30$	0.0118246			0.00215886
$31$		0			0
$31$		0			0
$32$	−1.50508			−0.266062
$33$	3.97250	−	2.88619i	0.691523	−	0.502421i
$34$	−7.55142	+	3.36211i	−1.29506	+	0.576597i
$35$	−0.00178785	+	0.00550244i	−0.000302202	+	0.000930082i
$36$	−0.197762	−	0.342534i	−0.0329604	−	0.0570890i
$37$	−3.74519	+	6.48685i	−0.615705	+	1.06643i	0.374556	+	0.927204i	$0.377795\pi$
$37$	−3.74519	+	6.48685i	−0.615705	+	1.06643i	−0.990260	+	0.139228i	$0.955538\pi$
$38$	−3.28878	−	3.65256i	−0.533510	−	0.592523i
$39$	2.40698	+	7.40792i	0.385425	+	1.18622i
$40$	0.0145362	−	0.0161441i	0.00229838	−	0.00255261i
$41$	−3.68055	−	1.63869i	−0.574805	−	0.255920i	0.0986816	−	0.995119i	$-0.468537\pi$
$41$	−3.68055	−	1.63869i	−0.574805	−	0.255920i	−0.673487	+	0.739199i	$0.735204\pi$
$42$	1.26324	−	0.268510i	0.194922	−	0.0414319i
$43$	−0.0733272	−	0.697661i	−0.0111823	−	0.106392i	0.987507	−	0.157575i	$-0.0503676\pi$
$43$	−0.0733272	−	0.697661i	−0.0111823	−	0.106392i	−0.998689	+	0.0511826i	$0.983701\pi$
$44$	0.111409	−	1.05999i	0.0167955	−	0.159799i
$45$	0.0105086	+	0.00223367i	0.00156653	+	0.000332977i
$46$	0.514978	+	0.374153i	0.0759293	+	0.0551659i
$47$	−3.48307	−	2.53060i	−0.508059	−	0.369126i	0.304028	−	0.952663i	$-0.401668\pi$
$47$	−3.48307	−	2.53060i	−0.508059	−	0.369126i	−0.812087	+	0.583537i	$0.801668\pi$
$48$	−4.09616	−	0.870666i	−0.591230	−	0.125670i
$49$	0.665648	−	6.33322i	0.0950926	−	0.904746i
$50$	−0.687828	−	6.54425i	−0.0972736	−	0.925496i
$51$	7.58406	−	1.61204i	1.06198	−	0.225731i
$52$	1.54454	+	0.687675i	0.214190	+	0.0953634i
$53$	−2.72984	+	3.03180i	−0.374973	+	0.416450i	−0.900863	−	0.434103i	$-0.857065\pi$
$53$	−2.72984	+	3.03180i	−0.374973	+	0.416450i	0.525890	+	0.850552i	$0.323732\pi$
$54$	−2.24719	−	6.91615i	−0.305804	−	0.941169i
$55$	0.0193716	+	0.0215143i	0.00261206	+	0.00290099i
$56$	1.18633	−	2.05479i	0.158530	−	0.274582i
$57$	2.30512	+	3.99258i	0.305320	+	0.528830i
$58$	0.659046	−	2.02833i	0.0865370	−	0.266333i
$59$	−12.5189	+	5.57376i	−1.62982	+	0.725641i	−0.998745	−	0.0500831i	$-0.984051\pi$
$59$	−12.5189	+	5.57376i	−1.62982	+	0.725641i	−0.631072	+	0.775724i	$0.717385\pi$
$60$	−0.00194770	+	0.00141509i	−0.000251447	+	0.000182687i
$61$	−5.02369			−0.643218			−0.321609	−	0.946873i	$-0.604224\pi$
$61$	−5.02369			−0.643218			−0.321609	+	0.946873i	$0.604224\pi$
$62$		0			0
$63$	1.17337			0.147831
$64$	−7.09134	+	5.15216i	−0.886418	+	0.644020i
$65$	−0.0419535	+	0.0186789i	−0.00520369	+	0.00231683i
$66$	1.99695	−	6.14599i	0.245808	−	0.756519i
$67$	7.26276	+	12.5795i	0.887287	+	1.53683i	0.843069	+	0.537805i	$0.180746\pi$
$67$	7.26276	+	12.5795i	0.887287	+	1.53683i	0.0442180	+	0.999022i	$0.485920\pi$
$68$	0.841487	−	1.45750i	0.102045	−	0.176748i
$69$	−0.399522	−	0.443715i	−0.0480968	−	0.0534170i
$70$	0.00235294	+	0.00724161i	0.000281230	+	0.000865538i
$71$	−6.29869	+	6.99541i	−0.747517	+	0.830202i	−0.990164	−	0.139913i	$-0.955318\pi$
$71$	−6.29869	+	6.99541i	−0.747517	+	0.830202i	0.242647	+	0.970115i	$0.421984\pi$
$72$	−4.02493	−	1.79201i	−0.474342	−	0.211191i
$73$	−4.32653	+	0.919632i	−0.506382	+	0.107635i	−0.454017	−	0.890993i	$-0.650009\pi$
$73$	−4.32653	+	0.919632i	−0.506382	+	0.107635i	−0.0523651	+	0.998628i	$0.516676\pi$
$74$	1.03043	+	9.80387i	0.119785	+	1.13968i
$75$	−0.645177	+	6.13845i	−0.0744987	+	0.708807i
$76$	0.978830	+	0.208057i	0.112280	+	0.0238658i
$77$	2.55804	+	1.85852i	0.291515	+	0.211798i
$78$	8.29330	+	6.02544i	0.939031	+	0.682246i
$79$	10.2303	+	2.17452i	1.15100	+	0.244652i	0.743617	−	0.668606i	$-0.233109\pi$
$79$	10.2303	+	2.17452i	1.15100	+	0.244652i	0.407382	+	0.913258i	$0.366442\pi$
$80$	0.00258080	−	0.0245547i	0.000288543	−	0.00274530i
$81$	0.250122	+	2.37976i	0.0277914	+	0.264417i
$82$	−5.18641	+	1.10240i	−0.572743	+	0.121740i
$83$	−1.83451	−	0.816776i	−0.201363	−	0.0896528i	0.303577	−	0.952807i	$-0.401819\pi$
$83$	−1.83451	−	0.816776i	−0.201363	−	0.0896528i	−0.504941	+	0.863154i	$0.668486\pi$
$84$	−0.175943	+	0.195404i	−0.0191969	+	0.0213203i
$85$	0.0141263	+	0.0434762i	0.00153221	+	0.00471566i
$86$	−0.617762	−	0.686094i	−0.0666150	−	0.0739834i
$87$	−1.00024	+	1.73246i	−0.107237	+	0.185739i
$88$	−5.93623	−	10.2819i	−0.632804	−	1.09605i
$89$	−0.346834	+	1.06744i	−0.0367643	+	0.113149i	−0.967754	−	0.251895i	$-0.918946\pi$
$89$	−0.346834	+	1.06744i	−0.0367643	+	0.113149i	0.930990	+	0.365044i	$0.118946\pi$
$90$	0.0129167	−	0.00575088i	0.00136154	−	0.000606196i
$91$	−4.05780	+	2.94816i	−0.425373	+	0.309052i
$92$	−0.129602			−0.0135119
$93$		0			0
$94$	−5.66611			−0.584414
$95$	−0.0219902	+	0.0159768i	−0.00225614	+	0.00163918i
$96$	1.69734	−	0.755703i	0.173234	−	0.0771286i
$97$	2.24819	−	6.91921i	0.228269	−	0.702540i	−0.769674	−	0.638437i	$-0.779581\pi$
$97$	2.24819	−	6.91921i	0.228269	−	0.702540i	0.997943	−	0.0641030i	$-0.0204186\pi$
$98$	−4.19044	−	7.25806i	−0.423299	−	0.733175i
$99$	2.93570	−	5.08477i	0.295048	−	0.511039i
$100$	0.896469	+	0.995630i	0.0896469	+	0.0995630i
$101$	−1.98773	−	6.11760i	−0.197786	−	0.608724i	−0.999933	−	0.0115963i	$-0.996309\pi$
$101$	−1.98773	−	6.11760i	−0.197786	−	0.608724i	0.802146	−	0.597127i	$-0.203691\pi$
$102$	6.82792	−	7.58317i	0.676065	−	0.750846i
$103$	−7.79750	−	3.47167i	−0.768311	−	0.342074i	−0.0151282	−	0.999886i	$-0.504816\pi$
$103$	−7.79750	−	3.47167i	−0.768311	−	0.342074i	−0.753183	+	0.657812i	$0.771482\pi$
$104$	18.4217	−	3.91565i	1.80639	−	0.383961i
$105$	−0.000746556	−	0.00710301i	−7.28564e−5	−	0.000693183i
$106$	−0.561231	+	5.33975i	−0.0545115	+	0.518643i
$107$	13.2194	+	2.80987i	1.27797	+	0.271641i	0.796401	−	0.604769i	$-0.206734\pi$
$107$	13.2194	+	2.80987i	1.27797	+	0.271641i	0.481567	+	0.876409i	$0.340068\pi$
$108$	1.19783	+	0.870274i	0.115261	+	0.0837422i
$109$	−8.27699	−	6.01358i	−0.792792	−	0.575997i	0.115999	−	0.993249i	$-0.462993\pi$
$109$	−8.27699	−	6.01358i	−0.792792	−	0.575997i	−0.908791	+	0.417253i	$0.862993\pi$
$110$	0.0372682	+	0.00792159i	0.00355338	+	0.000755294i
$111$	0.966534	−	9.19595i	0.0917393	−	0.872841i
$112$	−0.281871	−	2.68182i	−0.0266343	−	0.253408i
$113$	8.14246	−	1.73073i	0.765979	−	0.162814i	0.191678	−	0.981458i	$-0.438607\pi$
$113$	8.14246	−	1.73073i	0.765979	−	0.162814i	0.574301	+	0.818644i	$0.305274\pi$
$114$	5.54285	+	2.46783i	0.519135	+	0.231134i
$115$	0.00235553	−	0.00261608i	0.000219654	−	0.000243951i
$116$	0.134182	+	0.412970i	0.0124585	+	0.0383433i
$117$	6.23212	+	6.92147i	0.576160	+	0.639890i
$118$	−9.01747	+	15.6187i	−0.830125	+	1.43782i
$119$	2.49638	+	4.32385i	0.228843	+	0.396367i
$120$	−0.00828709	+	0.0255051i	−0.000756505	+	0.00232828i
$121$	4.40486	−	1.96117i	0.400442	−	0.178288i
$122$	−5.34885	+	3.88617i	−0.484262	+	0.351837i
$123$	4.97349			0.448445
$124$		0			0
$125$	−0.0727821			−0.00650983
$126$	1.24932	−	0.907684i	0.111298	−	0.0808629i
$127$	10.2741	−	4.57430i	0.911675	−	0.405904i	0.103353	−	0.994645i	$-0.467043\pi$
$127$	10.2741	−	4.57430i	0.911675	−	0.405904i	0.808322	+	0.588741i	$0.200376\pi$
$128$	−2.63459	+	8.10844i	−0.232867	+	0.716692i
$129$	0.432991	+	0.749963i	0.0381228	+	0.0660306i
$130$	−0.0302195	+	0.0523418i	−0.00265043	+	0.00459068i
$131$	0.431976	+	0.479758i	0.0377419	+	0.0419166i	0.761720	−	0.647906i	$-0.224355\pi$
$131$	0.431976	+	0.479758i	0.0377419	+	0.0419166i	−0.723978	+	0.689823i	$0.757688\pi$
$132$	0.406581	+	1.25133i	0.0353884	+	0.108914i
$133$	−1.98645	+	2.20617i	−0.172247	+	0.191299i
$134$	17.4639	+	7.77544i	1.50865	+	0.671695i
$135$	−0.0393378	+	0.00836150i	−0.00338566	+	0.000719643i
$136$	−1.95960	−	18.6443i	−0.168034	−	1.59874i
$137$	−0.301455	+	2.86816i	−0.0257551	+	0.245043i	0.974068	+	0.226254i	$0.0726479\pi$
$137$	−0.301455	+	2.86816i	−0.0257551	+	0.245043i	−0.999823	+	0.0187893i	$0.994019\pi$
$138$	−0.768625	−	0.163376i	−0.0654297	−	0.0139075i
$139$	−2.73354	−	1.98603i	−0.231855	−	0.168453i	0.465792	−	0.884894i	$-0.345770\pi$
$139$	−2.73354	−	1.98603i	−0.231855	−	0.168453i	−0.697647	+	0.716442i	$0.745770\pi$
$140$	−0.00125420		0.000911227i	−0.000105999		7.70128e-5i
$141$	5.19863	+	1.10500i	0.437803	+	0.0930580i
$142$	−1.29495	+	12.3207i	−0.108670	+	1.03393i
$143$	2.62345	+	24.9604i	0.219384	+	2.08730i
$144$	−4.89792	+	1.04109i	−0.408160	+	0.0867571i
$145$	−0.0107748	−	0.00479727i	−0.000894801	−	0.000398391i
$146$	−3.89516	+	4.32602i	−0.322366	+	0.358024i
$147$	2.42925	+	7.47645i	0.200361	+	0.616648i
$148$	−1.34299	−	1.49154i	−0.110393	−	0.122604i
$149$	5.88496	−	10.1931i	0.482115	−	0.835047i	−0.517674	−	0.855578i	$-0.673202\pi$
$149$	5.88496	−	10.1931i	0.482115	−	0.835047i	0.999789	+	0.0205303i	$0.00653545\pi$
$150$	4.06157	+	7.03485i	0.331626	+	0.574393i
$151$	−5.52168	+	16.9940i	−0.449348	+	1.38295i	0.428296	+	0.903639i	$0.359114\pi$
$151$	−5.52168	+	16.9940i	−0.449348	+	1.38295i	−0.877644	+	0.479313i	$0.840886\pi$
$152$	10.1833	−	4.53389i	0.825974	−	0.367747i
$153$	7.50050	−	5.44943i	0.606379	−	0.440560i
$154$	4.16130			0.335327
$155$		0			0
$156$	−2.08713			−0.167104
$157$	−2.15276	+	1.56407i	−0.171809	+	0.124826i	−0.670367	−	0.742030i	$-0.733863\pi$
$157$	−2.15276	+	1.56407i	−0.171809	+	0.124826i	0.498558	+	0.866856i	$0.333863\pi$
$158$	12.5746	−	5.59857i	1.00038	−	0.445398i
$159$	1.55628	−	4.78974i	0.123421	−	0.379851i
$160$	0.00547716	+	0.00948672i	0.000433008	+	0.000749991i
$161$	0.192240	−	0.332969i	0.0151506	−	0.0262416i
$162$	2.10721	+	2.34030i	0.165558	+	0.183871i
$163$	−5.22391	−	16.0775i	−0.409168	−	1.25929i	−0.917364	−	0.398049i	$-0.869688\pi$
$163$	−5.22391	−	16.0775i	−0.409168	−	1.25929i	0.508196	−	0.861241i	$-0.330312\pi$
$164$	0.722358	−	0.802260i	0.0564067	−	0.0626459i
$165$	−0.0326485	−	0.0145360i	−0.00254168	−	0.00113163i
$166$	−2.58508	+	0.549475i	−0.200641	+	0.0426476i
$167$	1.61837	+	15.3978i	0.125233	+	1.19151i	0.858950	+	0.512059i	$0.171117\pi$
$167$	1.61837	+	15.3978i	0.125233	+	1.19151i	−0.733717	+	0.679455i	$0.762216\pi$
$168$	−0.306161	+	2.91293i	−0.0236208	+	0.224737i
$169$	−26.2268	−	5.57468i	−2.01745	−	0.428821i
$170$	0.0486724	+	0.0353626i	0.00373300	+	0.00271219i
$171$	4.45980	+	3.24024i	0.341050	+	0.247787i
$172$	0.183863	+	0.0390812i	0.0140194	+	0.00297992i
$173$	−0.722359	+	6.87278i	−0.0549199	+	0.522528i	0.932131	+	0.362121i	$0.117947\pi$
$173$	−0.722359	+	6.87278i	−0.0549199	+	0.522528i	−0.987051	+	0.160407i	$0.948719\pi$
$174$	0.275199	+	2.61834i	0.0208628	+	0.198496i
$175$	−3.88769	+	0.826354i	−0.293882	+	0.0624665i
$176$	−12.3268	−	5.48825i	−0.929168	−	0.413692i
$177$	11.3194	−	12.5715i	0.850821	−	0.944932i
$178$	0.456458	+	1.40483i	0.0342130	+	0.105297i
$179$	9.68974	+	10.7615i	0.724245	+	0.804356i	0.987036	−	0.160497i	$-0.0513097\pi$
$179$	9.68974	+	10.7615i	0.724245	+	0.804356i	−0.262791	+	0.964853i	$0.584643\pi$
$180$	−0.00143936	+	0.00249305i	−0.000107284	+	0.000185821i
$181$	8.67667	+	15.0284i	0.644932	+	1.11706i	0.984317	+	0.176408i	$0.0564477\pi$
$181$	8.67667	+	15.0284i	0.644932	+	1.11706i	−0.339385	+	0.940647i	$0.610219\pi$
$182$	−2.03984	+	6.27797i	−0.151203	+	0.465354i
$183$	5.66542	−	2.52241i	0.418800	−	0.186462i
$184$	−1.16795	+	0.848562i	−0.0861021	+	0.0625568i
$185$	0.0545168			0.00400815
$186$		0			0
$187$	24.9830			1.82694
$188$	0.933301	−	0.678083i	0.0680680	−	0.0494543i
$189$	−4.01264	+	1.78654i	−0.291877	+	0.129952i
$190$	−0.0110543	+	0.0340218i	−0.000801966	+	0.00246820i
$191$	−7.45255	−	12.9082i	−0.539248	−	0.934005i	−0.998945	−	0.0459289i	$-0.985375\pi$
$191$	−7.45255	−	12.9082i	−0.539248	−	0.934005i	0.459697	−	0.888076i	$-0.347958\pi$
$192$	5.41028	−	9.37088i	0.390453	−	0.676285i
$193$	6.87566	+	7.63619i	0.494921	+	0.549665i	0.937918	−	0.346858i	$-0.112751\pi$
$193$	6.87566	+	7.63619i	0.494921	+	0.549665i	−0.442997	+	0.896523i	$0.646085\pi$
$194$	−2.95878	−	9.10619i	−0.212428	−	0.653786i
$195$	0.0379339	−	0.0421299i	0.00271650	−	0.00301698i
$196$	1.55883	+	0.694037i	0.111345	+	0.0495741i
$197$	−14.2860	+	3.03659i	−1.01784	+	0.216348i	−0.686474	−	0.727154i	$-0.740842\pi$
$197$	−14.2860	+	3.03659i	−1.01784	+	0.216348i	−0.331365	+	0.943503i	$0.607509\pi$
$198$	−0.807710	−	7.68484i	−0.0574014	−	0.546138i
$199$	1.10714	−	10.5337i	0.0784832	−	0.746718i	−0.882538	−	0.470242i	$-0.844167\pi$
$199$	1.10714	−	10.5337i	0.0784832	−	0.746718i	0.961021	−	0.276476i	$-0.0891666\pi$
$200$	14.5977	+	3.10283i	1.03221	+	0.219403i
$201$	−14.5067	−	10.5397i	−1.02322	−	0.743415i
$202$	−6.84876	−	4.97592i	−0.481877	−	0.350104i
$203$	−1.26003	−	0.267827i	−0.0884366	−	0.0187978i
$204$	−0.217166	+	2.06619i	−0.0152046	+	0.144662i
$205$	0.00306509	+	0.0291624i	0.000214075	+	0.00203679i
$206$	−10.9878	+	2.33552i	−0.765554	+	0.162724i
$207$	−0.652222	−	0.290388i	−0.0453326	−	0.0201834i
$208$	14.3224	−	15.9066i	0.993079	−	1.10293i
$209$	4.59043	+	14.1279i	0.317527	+	0.977246i
$210$	−0.00628954	−	0.00698524i	−0.000434019	−	0.000482027i
$211$	−8.28017	+	14.3417i	−0.570030	+	0.987322i	0.426532	+	0.904473i	$0.359735\pi$
$211$	−8.28017	+	14.3417i	−0.570030	+	0.987322i	−0.996562	+	0.0828491i	$0.973598\pi$
$212$	−0.546583	−	0.946709i	−0.0375395	−	0.0650203i
$213$	3.59088	−	11.0516i	0.246043	−	0.757243i
$214$	16.2487	−	7.23437i	1.11074	−	0.494531i
$215$	−0.00413062	+	0.00300107i	−0.000281706	+	0.000204671i
$216$	16.4927			1.12219
$217$		0			0
$218$	−13.4646			−0.911940
$219$	4.41745	−	3.20947i	0.298504	−	0.216876i
$220$	−0.00708668	+	0.00315520i	−0.000477784	+	0.000212723i
$221$	−12.2465	+	37.6908i	−0.823788	+	2.53536i
$222$	−6.08460	−	10.5388i	−0.408372	−	0.707321i
$223$	0.402597	−	0.697318i	0.0269599	−	0.0466959i	−0.852231	−	0.523166i	$-0.824751\pi$
$223$	0.402597	−	0.697318i	0.0269599	−	0.0466959i	0.879191	+	0.476470i	$0.158084\pi$
$224$	0.800556	+	0.889107i	0.0534894	+	0.0594060i
$225$	2.28067	+	7.01917i	0.152044	+	0.467945i
$226$	7.33065	−	8.14151i	0.487627	−	0.541565i
$227$	12.3097	+	5.48062i	0.817021	+	0.363761i	0.772316	−	0.635239i	$-0.219098\pi$
$227$	12.3097	+	5.48062i	0.817021	+	0.363761i	0.0447055	+	0.999000i	$0.485765\pi$
$228$	−1.20833	+	0.256839i	−0.0800238	+	0.0170096i
$229$	−1.35359	−	12.8786i	−0.0894479	−	0.851040i	−0.943616	−	0.331043i	$-0.892600\pi$
$229$	−1.35359	−	12.8786i	−0.0894479	−	0.851040i	0.854168	−	0.519997i	$-0.174067\pi$
$230$	0.000484275	−	0.00460757i	3.19322e−5	−	0.000303814i
$231$	−3.81797	−	0.811534i	−0.251204	−	0.0533950i
$232$	3.91314	+	2.84306i	0.256910	+	0.186656i
$233$	−9.99617	−	7.26264i	−0.654871	−	0.475791i	0.210056	−	0.977689i	$-0.432635\pi$
$233$	−9.99617	−	7.26264i	−0.654871	−	0.475791i	−0.864927	+	0.501898i	$0.832635\pi$
$234$	11.9897	+	2.54849i	0.783793	+	0.166600i
$235$	−0.00327542	+	0.0311635i	−0.000213665	+	0.00203288i
$236$	−0.383821	−	3.65181i	−0.0249846	−	0.237713i
$237$	−12.6290	+	2.68437i	−0.820339	+	0.174368i
$238$	6.00275	+	2.67260i	0.389101	+	0.173239i
$239$	10.6613	−	11.8406i	0.689625	−	0.765906i	−0.292064	−	0.956399i	$-0.594342\pi$
$239$	10.6613	−	11.8406i	0.689625	−	0.765906i	0.981689	+	0.190493i	$0.0610086\pi$
$240$	0.00941850	+	0.0289872i	0.000607962	+	0.00187111i
$241$	−13.7317	−	15.2506i	−0.884538	−	0.982379i	0.115402	−	0.993319i	$-0.463184\pi$
$241$	−13.7317	−	15.2506i	−0.884538	−	0.982379i	−0.999940	+	0.0109398i	$0.996518\pi$
$242$	3.17287	−	5.49557i	0.203960	−	0.353269i
$243$	6.81142	+	11.7977i	0.436953	+	0.756825i
$244$	0.415972	−	1.28023i	0.0266299	−	0.0819584i
$245$	−0.0423416	+	0.0188517i	−0.00270511	+	0.00120439i
$246$	5.29540	−	3.84733i	0.337622	−	0.245297i
$247$	−23.5643			−1.49936
$248$		0			0
$249$	2.47896			0.157097
$250$	−0.0774929	+	0.0563019i	−0.00490108	+	0.00356085i
$251$	−3.86378	+	1.72027i	−0.243880	+	0.108582i	−0.525037	−	0.851079i	$-0.675948\pi$
$251$	−3.86378	+	1.72027i	−0.243880	+	0.108582i	0.281157	+	0.959662i	$0.409282\pi$
$252$	−0.0971578	+	0.299021i	−0.00612036	+	0.0188365i
$253$	−0.961940	−	1.66613i	−0.0604767	−	0.104749i
$254$	7.40051	−	12.8181i	0.464349	−	0.804276i
$255$	−0.0377603	−	0.0419371i	−0.00236464	−	0.00262620i
$256$	−1.94999	−	6.00144i	−0.121874	−	0.375090i
$257$	12.4108	−	13.7836i	0.774165	−	0.859798i	−0.219095	−	0.975704i	$-0.570310\pi$
$257$	12.4108	−	13.7836i	0.774165	−	0.859798i	0.993260	+	0.115906i	$0.0369771\pi$
$258$	1.04116	+	0.463556i	0.0648201	+	0.0288598i
$259$	5.82411	−	1.23795i	0.361893	−	0.0769227i
$260$	−0.00128627	−	0.0122380i	−7.97710e−5	−	0.000758970i
$261$	−0.250036	+	2.37893i	−0.0154768	+	0.147252i
$262$	0.831060	+	0.176647i	0.0513431	+	0.0109133i
$263$	11.7199	+	8.51497i	0.722677	+	0.525056i	0.887238	−	0.461311i	$-0.152621\pi$
$263$	11.7199	+	8.51497i	0.722677	+	0.525056i	−0.164561	+	0.986367i	$0.552621\pi$
$264$	11.8571	+	8.61467i	0.729752	+	0.530196i
$265$	0.0290441	+	0.00617352i	0.00178417	+	0.000379236i
$266$	−0.408395	+	3.88562i	−0.0250403	+	0.238243i
$267$	−0.144828	−	1.37795i	−0.00886333	−	0.0843289i
$268$	−3.80711	+	0.809226i	−0.232556	+	0.0494313i
$269$	−13.7408	−	6.11780i	−0.837792	−	0.373009i	−0.0574396	−	0.998349i	$-0.518294\pi$
$269$	−13.7408	−	6.11780i	−0.837792	−	0.373009i	−0.780352	+	0.625340i	$0.784960\pi$
$270$	−0.0354157	+	0.0393331i	−0.00215533	+	0.00239374i
$271$	−7.08115	−	21.7935i	−0.430149	−	1.32386i	−0.897977	−	0.440043i	$-0.854963\pi$
$271$	−7.08115	−	21.7935i	−0.430149	−	1.32386i	0.467828	−	0.883820i	$-0.345037\pi$
$272$	−14.2568	−	15.8338i	−0.864447	−	0.960066i
$273$	3.09586	−	5.36219i	0.187370	−	0.324535i
$274$	1.89775	+	3.28699i	0.114647	+	0.198575i
$275$	−6.14575	+	18.9147i	−0.370602	+	1.14060i
$276$	0.146157	−	0.0650733i	0.00879761	−	0.00391695i
$277$	11.6908	−	8.49387i	0.702433	−	0.510347i	−0.178291	−	0.983978i	$-0.557057\pi$
$277$	11.6908	−	8.49387i	0.702433	−	0.510347i	0.880724	+	0.473630i	$0.157057\pi$
$278$	−4.44679			−0.266701
$279$		0			0
$280$	−0.0172688			−0.00103201
$281$	4.70657	−	3.41952i	0.280771	−	0.203992i	−0.438483	−	0.898740i	$-0.644484\pi$
$281$	4.70657	−	3.41952i	0.280771	−	0.203992i	0.719253	+	0.694748i	$0.244484\pi$
$282$	6.38990	−	2.84497i	0.380513	−	0.169415i
$283$	0.798195	−	2.45659i	0.0474478	−	0.146029i	−0.924526	−	0.381120i	$-0.875539\pi$
$283$	0.798195	−	2.45659i	0.0474478	−	0.146029i	0.971974	+	0.235090i	$0.0755386\pi$
$284$	−1.26116	−	2.18439i	−0.0748358	−	0.129619i
$285$	0.0167772	−	0.0290590i	0.000993797	−	0.00172131i
$286$	22.1018	+	24.5466i	1.30691	+	1.45147i
$287$	0.989662	+	3.04587i	0.0584179	+	0.179792i
$288$	1.48656	−	1.65100i	0.0875966	−	0.0972859i
$289$	20.5083	+	9.13087i	1.20637	+	0.537110i
$290$	−0.0151832	+	0.00322730i	−0.000891591	+	0.000189513i
$291$	0.938781	+	8.93190i	0.0550323	+	0.523597i
$292$	0.123888	−	1.17871i	0.00724999	−	0.0689790i
$293$	−18.0471	−	3.83604i	−1.05433	−	0.224104i	−0.352029	−	0.935989i	$-0.614508\pi$
$293$	−18.0471	−	3.83604i	−1.05433	−	0.224104i	−0.702296	+	0.711885i	$0.747842\pi$
$294$	8.37003	+	6.08118i	0.488150	+	0.354662i
$295$	0.0806899	+	0.0586247i	0.00469795	+	0.00341326i
$296$	−21.8686	−	4.64832i	−1.27109	−	0.270178i
$297$	−2.29742	+	21.8585i	−0.133310	+	1.26836i
$298$	−1.61915	−	15.4052i	−0.0937950	−	0.892400i
$299$	2.98515	−	0.634514i	0.172636	−	0.0366949i
$300$	−1.51089	−	0.672693i	−0.0872315	−	0.0388379i
$301$	−0.373133	+	0.414406i	−0.0215070	+	0.0238859i
$302$	7.26693	+	22.3653i	0.418165	+	1.28698i
$303$	5.31330	+	5.90102i	0.305241	+	0.339005i
$304$	6.33443	−	10.9716i	0.363304	−	0.629262i
$305$	0.0182818	+	0.0316651i	0.00104682	+	0.00181314i
$306$	3.77046	−	11.6043i	0.215543	−	0.663373i
$307$	1.50346	−	0.669384i	0.0858071	−	0.0382038i	−0.363384	−	0.931639i	$-0.618379\pi$
$307$	1.50346	−	0.669384i	0.0858071	−	0.0382038i	0.449191	+	0.893436i	$0.351712\pi$
$308$	−0.685434	+	0.497997i	−0.0390562	+	0.0283760i
$309$	10.5367			0.599412
$310$		0			0
$311$	−19.2427			−1.09115			−0.545576	−	0.838061i	$-0.683689\pi$
$311$	−19.2427			−1.09115			−0.545576	+	0.838061i	$0.683689\pi$
$312$	−18.8088	+	13.6654i	−1.06484	+	0.773651i
$313$	−14.0714	+	6.26497i	−0.795360	+	0.354117i	−0.763856	−	0.645387i	$-0.776696\pi$
$313$	−14.0714	+	6.26497i	−0.795360	+	0.354117i	−0.0315037	+	0.999504i	$0.510030\pi$
$314$	−1.08218	+	3.33061i	−0.0610710	+	0.187957i
$315$	−0.00427005	−	0.00739594i	−0.000240590	−	0.000416714i
$316$	−1.40124	+	2.42702i	−0.0788260	+	0.136531i
$317$	−19.3552	−	21.4961i	−1.08709	−	1.20734i	−0.976960	−	0.213425i	$-0.931538\pi$
$317$	−19.3552	−	21.4961i	−1.08709	−	1.20734i	−0.110135	−	0.993917i	$-0.535128\pi$
$318$	−2.04818	−	6.30365i	−0.114856	−	0.353491i
$319$	−4.31312	+	4.79020i	−0.241488	+	0.268200i
$320$	0.0582811	+	0.0259484i	0.00325801	+	0.00145056i
$321$	−16.3189	+	3.46869i	−0.910833	+	0.193603i
$322$	−0.0528917	−	0.503231i	−0.00294754	−	0.0280440i
$323$	−2.45187	+	23.3280i	−0.136426	+	1.29800i
$324$	−0.627164	−	0.133308i	−0.0348425	−	0.00740600i
$325$	−25.5231	−	18.5436i	−1.41577	−	1.02862i
$326$	−17.9991	−	13.0771i	−0.996878	−	0.724274i
$327$	12.3537	+	2.62587i	0.683163	+	0.145211i
$328$	1.25699	−	11.9594i	0.0694055	−	0.660349i
$329$	0.357735	+	3.40362i	0.0197226	+	0.187648i
$330$	−0.0460063	+	0.00977894i	−0.00253256	+	0.000538313i
$331$	1.68742	+	0.751286i	0.0927488	+	0.0412944i	0.452587	−	0.891720i	$-0.350501\pi$
$331$	1.68742	+	0.751286i	0.0927488	+	0.0412944i	−0.359838	+	0.933015i	$0.617168\pi$
$332$	0.360047	−	0.399873i	0.0197602	−	0.0219459i
$333$	−3.41664	−	10.5154i	−0.187231	−	0.576238i
$334$	13.6343	+	15.1425i	0.746037	+	0.828558i
$335$	0.0528602	−	0.0915565i	0.00288806	−	0.00500227i
$336$	1.66443	+	2.88287i	0.0908019	+	0.157274i
$337$	5.70863	−	17.5694i	0.310969	−	0.957064i	−0.666413	−	0.745583i	$-0.732171\pi$
$337$	5.70863	−	17.5694i	0.310969	−	0.957064i	0.977382	−	0.211481i	$-0.0678287\pi$
$338$	−32.2367	+	14.3527i	−1.75345	+	0.780684i
$339$	−8.31358	+	6.04017i	−0.451532	+	0.328057i
$340$	−0.0122491			−0.000664301
$341$		0			0
$342$	7.25501			0.392306
$343$	−8.59705	+	6.24612i	−0.464197	+	0.337259i
$344$	1.91282	−	0.851643i	0.103132	−	0.0459175i
$345$	−0.00134289	+	0.00413298i	−7.22986e−5	+	0.000222512i
$346$	4.54745	+	7.87642i	0.244473	+	0.423439i
$347$	−6.06471	+	10.5044i	−0.325571	+	0.563905i	−0.981628	−	0.190806i	$-0.938890\pi$
$347$	−6.06471	+	10.5044i	−0.325571	+	0.563905i	0.656057	+	0.754712i	$0.272223\pi$
$348$	−0.358676	−	0.398350i	−0.0192271	−	0.0213538i
$349$	0.333970	+	1.02785i	0.0178770	+	0.0550197i	0.959597	−	0.281378i	$-0.0907914\pi$
$349$	0.333970	+	1.02785i	0.0178770	+	0.0550197i	−0.941720	+	0.336398i	$0.890791\pi$
$350$	−3.50008	+	3.88723i	−0.187087	+	0.207781i
$351$	−31.8507	−	14.1809i	−1.70007	−	0.756918i
$352$	5.85585	−	1.24470i	0.312118	−	0.0663427i
$353$	1.92056	+	18.2729i	0.102221	+	0.972569i	0.918637	+	0.395104i	$0.129291\pi$
$353$	1.92056	+	18.2729i	0.102221	+	0.972569i	−0.816415	+	0.577465i	$0.804042\pi$
$354$	2.32717	−	22.1415i	0.123688	−	1.17681i
$355$	0.0670148	+	0.0142444i	0.00355678	+	0.000756016i
$356$	−0.243308	−	0.176773i	−0.0128953	−	0.00936897i
$357$	−4.98629	−	3.62275i	−0.263902	−	0.191736i
$358$	18.6417	+	3.96241i	0.985244	+	0.209420i
$359$	2.89478	−	27.5420i	0.152781	−	1.45361i	−0.602452	−	0.798155i	$-0.705809\pi$
$359$	2.89478	−	27.5420i	0.152781	−	1.45361i	0.755232	−	0.655457i	$-0.227524\pi$
$360$	0.00335189	+	0.0318911i	0.000176660	+	0.00168081i
$361$	4.94236	−	1.05053i	0.260124	−	0.0552911i
$362$	20.8638	+	9.28916i	1.09658	+	0.488227i
$363$	−3.98283	+	4.42339i	−0.209045	+	0.232168i
$364$	−0.415312	−	1.27820i	−0.0217683	−	0.0669958i
$365$	0.0215413	+	0.0239241i	0.00112753	+	0.00125224i
$366$	4.08086	−	7.06826i	0.213310	−	0.369464i
$367$	−2.76280	−	4.78532i	−0.144217	−	0.249791i	0.784863	−	0.619669i	$-0.212733\pi$
$367$	−2.76280	−	4.78532i	−0.144217	−	0.249791i	−0.929081	+	0.369877i	$0.879400\pi$
$368$	−0.507022	+	1.56045i	−0.0264304	+	0.0813443i
$369$	5.43284	−	2.41885i	0.282822	−	0.125921i
$370$	0.0580454	−	0.0421725i	0.00301764	−	0.00219244i
$371$	3.24301			0.168369
$372$		0			0
$373$	5.64476			0.292274			0.146137	−	0.989264i	$-0.453316\pi$
$373$	5.64476			0.292274			0.146137	+	0.989264i	$0.453316\pi$
$374$	26.6001	−	19.3261i	1.37546	−	0.999328i
$375$	0.0820793	−	0.0365441i	0.00423856	−	0.00188713i
$376$	3.97101	−	12.2215i	0.204789	−	0.630277i
$377$	−5.11251	−	8.85513i	−0.263308	−	0.456062i
$378$	−2.89035	+	5.00623i	−0.148663	+	0.257493i
$379$	−7.47589	−	8.30281i	−0.384011	−	0.426487i	0.519888	−	0.854235i	$-0.325974\pi$
$379$	−7.47589	−	8.30281i	−0.384011	−	0.426487i	−0.903898	+	0.427748i	$0.859307\pi$
$380$	−0.00225067	−	0.00692686i	−0.000115457	−	0.000355340i
$381$	−9.28970	+	10.3173i	−0.475926	+	0.528569i
$382$	−17.9203	−	7.97863i	−0.916882	−	0.408222i
$383$	18.1158	−	3.85063i	0.925674	−	0.196758i	0.279673	−	0.960095i	$-0.409774\pi$
$383$	18.1158	−	3.85063i	0.925674	−	0.196758i	0.646000	+	0.763337i	$0.276440\pi$
$384$	−1.10013	−	10.4671i	−0.0561409	−	0.534145i
$385$	0.00240553	−	0.0228871i	0.000122597	−	0.00116643i
$386$	13.2278	+	2.81166i	0.673277	+	0.143109i
$387$	0.837726	+	0.608644i	0.0425840	+	0.0309391i
$388$	1.57713	+	1.14585i	0.0800666	+	0.0581718i
$389$	−23.0705	−	4.90378i	−1.16972	−	0.248632i	−0.418208	−	0.908351i	$-0.637342\pi$
$389$	−23.0705	−	4.90378i	−1.16972	−	0.248632i	−0.751512	+	0.659720i	$0.770675\pi$
$390$	0.00779886	−	0.0742012i	0.000394911	−	0.00375732i
$391$	−0.317544	−	3.02123i	−0.0160589	−	0.152790i
$392$	18.5921	−	3.95187i	0.939043	−	0.199600i
$393$	−0.728044	−	0.324146i	−0.0367250	−	0.0163510i
$394$	−12.8617	+	14.2844i	−0.647963	+	0.719636i
$395$	−0.0235230	−	0.0723964i	−0.00118357	−	0.00364266i
$396$	1.05272	+	1.16916i	0.0529009	+	0.0587524i
$397$	−5.45457	+	9.44759i	−0.273757	+	0.474161i	−0.969821	−	0.243819i	$-0.921600\pi$
$397$	−5.45457	+	9.44759i	−0.273757	+	0.474161i	0.696064	+	0.717980i	$0.254933\pi$
$398$	−6.96977	−	12.0720i	−0.349363	−	0.605114i
$399$	1.13247	−	3.48539i	0.0566945	−	0.174488i
$400$	15.4949	−	6.89878i	0.774746	−	0.344939i
$401$	−8.63294	+	6.27220i	−0.431109	+	0.313219i	−0.782092	−	0.623163i	$-0.785847\pi$
$401$	−8.63294	+	6.27220i	−0.431109	+	0.313219i	0.350983	+	0.936382i	$0.385847\pi$
$402$	−23.5988			−1.17700
$403$		0			0
$404$	1.72359			0.0857517
$405$	0.0140897	−	0.0102368i	0.000700124	−	0.000508670i
$406$	−1.54876	+	0.689555i	−0.0768639	+	0.0342220i
$407$	9.20688	−	28.3359i	0.456368	−	1.40456i
$408$	11.5713	+	20.0420i	0.572864	+	0.992229i
$409$	−4.71296	+	8.16309i	−0.233041	+	0.403639i	−0.958702	−	0.284414i	$-0.908201\pi$
$409$	−4.71296	+	8.16309i	−0.233041	+	0.403639i	0.725661	+	0.688053i	$0.241534\pi$
$410$	0.0258226	+	0.0286789i	0.00127529	+	0.00141635i
$411$	−1.10014	−	3.38590i	−0.0542661	−	0.167014i
$412$	1.53037	−	1.69964i	0.0753957	−	0.0837354i
$413$	9.95146	+	4.43068i	0.489679	+	0.218019i
$414$	−0.919072	+	0.195355i	−0.0451699	+	0.00960116i
$415$	0.00152775	+	0.0145355i	7.49941e−5	+	0.000713521i
$416$	−0.992668	+	9.44460i	−0.0486695	+	0.463060i
$417$	4.07991	+	0.867212i	0.199794	+	0.0424675i
$418$	15.8164	+	11.4913i	0.773606	+	0.562058i
$419$	23.6286	+	17.1672i	1.15433	+	0.838671i	0.989051	−	0.147575i	$-0.0471469\pi$
$419$	23.6286	+	17.1672i	1.15433	+	0.838671i	0.165281	+	0.986247i	$0.447147\pi$
$420$	0.00187194		0.000397893i	9.13412e−5		1.94152e-5i
$421$	−0.0623675	+	0.593387i	−0.00303961	+	0.0289199i	−0.995937	−	0.0900575i	$-0.971295\pi$
$421$	−0.0623675	+	0.593387i	−0.00303961	+	0.0289199i	0.992897	+	0.118977i	$0.0379616\pi$
$422$	2.27816	+	21.6752i	0.110899	+	1.05513i
$423$	6.21618	−	1.32129i	0.302241	−	0.0642433i
$424$	−11.1243	−	4.95284i	−0.540242	−	0.240531i
$425$	−21.0133	+	23.3377i	−1.01930	+	1.13204i
$426$	−4.72586	−	14.5447i	−0.228969	−	0.704693i
$427$	2.67212	+	2.96769i	0.129313	+	0.143617i
$428$	−1.81066	+	3.13615i	−0.0875215	+	0.151592i
$429$	−15.4913	−	26.8317i	−0.747925	−	1.29544i
$430$	−0.00207644	+	0.00639063i	−0.000100135	+	0.000308183i
$431$	−21.9291	+	9.76349i	−1.05629	+	0.470291i	−0.860021	−	0.510259i	$-0.829549\pi$
$431$	−21.9291	+	9.76349i	−1.05629	+	0.470291i	−0.196269	+	0.980550i	$0.562883\pi$
$432$	15.1645	−	11.0177i	0.729605	−	0.530089i
$433$	12.5443			0.602840			0.301420	−	0.953492i	$-0.402539\pi$
$433$	12.5443			0.602840			0.301420	+	0.953492i	$0.402539\pi$
$434$		0			0
$435$	0.0145599			0.000698096
$436$	2.21785	−	1.61136i	0.106216	−	0.0771701i
$437$	1.65016	−	0.734697i	0.0789377	−	0.0351453i
$438$	2.22063	−	6.83440i	0.106106	−	0.326560i
$439$	19.5586	+	33.8765i	0.933482	+	1.61684i	0.777319	+	0.629106i	$0.216579\pi$
$439$	19.5586	+	33.8765i	0.933482	+	1.61684i	0.156163	+	0.987731i	$0.450088\pi$
$440$	−0.0432054	+	0.0748339i	−0.00205974	+	0.00356757i
$441$	6.28978	+	6.98551i	0.299513	+	0.332643i
$442$	16.1173	+	49.6039i	0.766620	+	2.35941i
$443$	−5.01317	+	5.56769i	−0.238183	+	0.264529i	−0.850371	−	0.526183i	$-0.823623\pi$
$443$	−5.01317	+	5.56769i	−0.238183	+	0.264529i	0.612188	+	0.790712i	$0.290289\pi$
$444$	2.26345	+	1.00775i	0.107419	+	0.0478259i
$445$	0.00799043	−	0.00169842i	0.000378783	−	8.05128e-5i
$446$	−0.110768	−	1.05389i	−0.00524502	−	0.0499030i
$447$	−1.51875	+	14.4500i	−0.0718346	+	0.683460i
$448$	6.81549	+	1.44868i	0.322002	+	0.0684436i
$449$	14.1692	+	10.2945i	0.668686	+	0.485829i	0.869585	−	0.493783i	$-0.164386\pi$
$449$	14.1692	+	10.2945i	0.668686	+	0.485829i	−0.200899	+	0.979612i	$0.564386\pi$
$450$	7.85809	+	5.70924i	0.370434	+	0.269136i
$451$	15.6752	+	3.33187i	0.738117	+	0.156892i
$452$	−0.233155	+	2.21832i	−0.0109667	+	0.104341i
$453$	−2.30570	−	21.9373i	−0.108331	−	1.03070i
$454$	17.3460	−	3.68701i	0.814090	−	0.173040i
$455$	0.0333496	+	0.0148482i	0.00156345	+	0.000696093i
$456$	−9.20763	+	10.2261i	−0.431187	+	0.478881i
$457$	1.51235	+	4.65453i	0.0707446	+	0.217730i	0.980178	−	0.198121i	$-0.0634839\pi$
$457$	1.51235	+	4.65453i	0.0707446	+	0.217730i	−0.909433	+	0.415851i	$0.863484\pi$
$458$	−11.4037	−	12.6650i	−0.532858	−	0.591799i
$459$	−17.3527	+	30.0557i	−0.809954	+	1.40288i
$460$	0.000471636	0	0.000816898i	2.19902e−5	0	3.80881e-5i
$461$	−6.26602	+	19.2848i	−0.291837	+	0.898183i	0.692428	+	0.721487i	$0.256541\pi$
$461$	−6.26602	+	19.2848i	−0.291837	+	0.898183i	−0.984265	+	0.176696i	$0.943459\pi$
$462$	−4.69286	+	2.08940i	−0.218332	+	0.0972076i
$463$	−18.5716	+	13.4931i	−0.863097	+	0.627077i	−0.928726	−	0.370767i	$-0.879095\pi$
$463$	−18.5716	+	13.4931i	−0.863097	+	0.627077i	0.0656286	+	0.997844i	$0.479095\pi$
$464$	5.49727			0.255204
$465$		0			0
$466$	−16.2613			−0.753291
$467$	−22.0760	+	16.0391i	−1.02155	+	0.742203i	−0.966601	−	0.256286i	$-0.917501\pi$
$467$	−22.0760	+	16.0391i	−1.02155	+	0.742203i	−0.0549533	+	0.998489i	$0.517501\pi$
$468$	−2.27989	+	1.01507i	−0.105388	+	0.0469218i
$469$	3.56809	−	10.9815i	0.164759	−	0.507077i
$470$	0.0206197	+	0.0357143i	0.000951115	+	0.00164738i
$471$	1.64243	−	2.84477i	0.0756791	−	0.131080i
$472$	−27.3690	−	30.3964i	−1.25976	−	1.39911i
$473$	0.862263	+	2.65377i	0.0396469	+	0.122021i
$474$	−11.3698	+	12.6275i	−0.522233	+	0.579999i
$475$	−17.0584	−	7.59491i	−0.782695	−	0.348478i
$476$	−1.30859	+	0.278150i	−0.0599792	+	0.0127490i
$477$	−0.629471	−	5.98901i	−0.0288215	−	0.274218i
$478$	2.19187	−	20.8543i	0.100254	−	0.953852i
$479$	33.6406	+	7.15053i	1.53708	+	0.326716i	0.897152	−	0.441721i	$-0.145632\pi$
$479$	33.6406	+	7.15053i	1.53708	+	0.326716i	0.639925	+	0.768437i	$0.278965\pi$
$480$	−0.0109401	−	0.00794846i	−0.000499346	−	0.000362796i
$481$	38.2360	+	27.7800i	1.74341	+	1.26666i
$482$	−26.4179	−	5.61530i	−1.20330	−	0.255770i
$483$	−0.0496120	+	0.472027i	−0.00225742	+	0.0214780i
$484$	0.135050	+	1.28492i	0.00613865	+	0.0584054i
$485$	−0.0517943	+	0.0110092i	−0.00235186	+	0.000499903i
$486$	16.3786	+	7.29224i	0.742950	+	0.330783i
$487$	−18.2725	+	20.2937i	−0.828005	+	0.919593i	−0.997827	−	0.0658817i	$-0.979014\pi$
$487$	−18.2725	+	20.2937i	−0.828005	+	0.919593i	0.169822	+	0.985475i	$0.445681\pi$
$488$	−4.63361	−	14.2608i	−0.209754	−	0.645555i
$489$	13.9638	+	15.5084i	0.631464	+	0.701312i
$490$	−0.0304991	+	0.0528260i	−0.00137781	+	0.00238644i
$491$	−17.7513	−	30.7461i	−0.801103	−	1.38755i	−0.918891	−	0.394512i	$-0.870913\pi$
$491$	−17.7513	−	30.7461i	−0.801103	−	1.38755i	0.117787	−	0.993039i	$-0.462420\pi$
$492$	−0.411816	+	1.26744i	−0.0185661	+	0.0571405i
$493$	−9.29827	+	4.13986i	−0.418773	+	0.186450i
$494$	−25.0895	+	18.2286i	−1.12883	+	0.820143i
$495$	−0.0427334			−0.00192073
$496$		0			0
$497$	7.48275			0.335647
$498$	2.63941	−	1.91764i	0.118275	−	0.0859315i
$499$	10.2388	−	4.55861i	0.458352	−	0.204071i	−0.164554	−	0.986368i	$-0.552619\pi$
$499$	10.2388	−	4.55861i	0.458352	−	0.204071i	0.622906	+	0.782297i	$0.285952\pi$
$500$	0.00602651	−	0.0185477i	0.000269514	−	0.000829478i
$501$	−9.55635	−	16.5521i	−0.426946	−	0.739493i
$502$	−2.78312	+	4.82051i	−0.124217	+	0.215150i
$503$	−1.13708	−	1.26286i	−0.0507001	−	0.0563082i	0.717261	−	0.696804i	$-0.245395\pi$
$503$	−1.13708	−	1.26286i	−0.0507001	−	0.0563082i	−0.767961	+	0.640496i	$0.778729\pi$
$504$	1.08226	+	3.33086i	0.0482078	+	0.148368i
$505$	−0.0313265	+	0.0347916i	−0.00139401	+	0.00154821i
$506$	−2.31307	−	1.02984i	−0.102828	−	0.0457821i
$507$	32.3761	−	6.88175i	1.43787	−	0.305629i
$508$	0.314996	+	2.99699i	0.0139757	+	0.132970i
$509$	4.33877	−	41.2806i	0.192313	−	1.82973i	−0.293837	−	0.955856i	$-0.594932\pi$
$509$	4.33877	−	41.2806i	0.192313	−	1.82973i	0.486149	−	0.873876i	$-0.338401\pi$
$510$	−0.0726455	−	0.0154413i	−0.00321680	−	0.000683751i
$511$	2.84456	+	2.06669i	0.125836	+	0.0914251i
$512$	−20.5136	−	14.9040i	−0.906583	−	0.658671i
$513$	−20.1849	−	4.29043i	−0.891185	−	0.189427i
$514$	2.55155	−	24.2764i	0.112544	−	1.07078i
$515$	0.00649362	+	0.0617827i	0.000286143	+	0.00272247i
$516$	−0.226972	+	0.0482444i	−0.00999190	+	0.00212384i
$517$	15.6445	+	6.96539i	0.688045	+	0.306337i
$518$	5.24344	−	5.82343i	0.230383	−	0.255867i
$519$	−2.63621	−	8.11341i	−0.115717	−	0.356139i
$520$	−0.0917197	−	0.101865i	−0.00402217	−	0.00446708i
$521$	16.2836	−	28.2041i	0.713399	−	1.23564i	−0.250175	−	0.968201i	$-0.580488\pi$
$521$	16.2836	−	28.2041i	0.713399	−	1.23564i	0.963574	−	0.267443i	$-0.0861787\pi$
$522$	1.57405	+	2.72633i	0.0688941	+	0.119328i
$523$	4.49129	−	13.8228i	0.196390	−	0.604428i	−0.803567	−	0.595214i	$-0.797067\pi$
$523$	4.49129	−	13.8228i	0.196390	−	0.604428i	0.999958	−	0.00921351i	$-0.00293279\pi$
$524$	−0.158029	+	0.0703592i	−0.00690354	+	0.00307366i
$525$	3.96939	−	2.88393i	0.173239	−	0.125865i
$526$	19.0653			0.831288
$527$		0			0
$528$	16.6571			0.724907
$529$	18.4181	−	13.3816i	0.800788	−	0.581807i
$530$	0.0356996	−	0.0158945i	0.00155069	−	0.000690413i
$531$	6.25074	−	19.2378i	0.271259	−	0.834849i
$532$	−0.397736	−	0.688899i	−0.0172440	−	0.0298676i
$533$	−12.7105	+	22.0153i	−0.550554	+	0.953587i
$534$	−1.22014	−	1.35510i	−0.0528005	−	0.0586409i
$535$	−0.0303960	−	0.0935494i	−0.00131414	−	0.00404449i
$536$	−29.0106	+	32.2195i	−1.25307	+	1.39167i
$537$	−16.3309	−	7.27099i	−0.704731	−	0.313766i
$538$	−19.3627	+	4.11567i	−0.834786	+	0.177439i
$539$	2.64772	+	25.1914i	0.114045	+	1.08507i
$540$	0.00112642	−	0.0107171i	4.84732e−5	−	0.000461192i
$541$	8.21464	+	1.74608i	0.353175	+	0.0750696i	0.381083	−	0.924541i	$-0.375551\pi$
$541$	8.21464	+	1.74608i	0.353175	+	0.0750696i	−0.0279081	+	0.999610i	$0.508885\pi$
$542$	−24.3983	−	17.7264i	−1.04799	−	0.761413i
$543$	−17.3309	−	12.5916i	−0.743738	−	0.540357i
$544$	9.24659	+	1.96542i	0.396444	+	0.0842668i
$545$	−0.00778352	+	0.0740553i	−0.000333409	+	0.00317218i
$546$	−0.851778	−	8.10412i	−0.0364527	−	0.346825i
$547$	−12.2197	+	2.59738i	−0.522478	+	0.111056i	−0.461598	−	0.887089i	$-0.652724\pi$
$547$	−12.2197	+	2.59738i	−0.522478	+	0.111056i	−0.0608795	+	0.998145i	$0.519391\pi$
$548$	−0.705956	−	0.314312i	−0.0301569	−	0.0134267i
$549$	4.96190	−	5.51075i	0.211769	−	0.235193i
$550$	8.08825	+	24.8931i	0.344884	+	1.06144i
$551$	−4.04956	−	4.49750i	−0.172517	−	0.191600i
$552$	0.891075	−	1.54339i	0.0379267	−	0.0656909i
$553$	−4.15696	−	7.20007i	−0.176772	−	0.306178i
$554$	5.87691	−	18.0873i	0.249686	−	0.768455i
$555$	−0.0614808	+	0.0273730i	−0.00260972	+	0.00116192i
$556$	0.732460	−	0.532163i	0.0310632	−	0.0225687i
$557$	−16.8308			−0.713144			−0.356572	−	0.934268i	$-0.616054\pi$
$557$	−16.8308			−0.713144			−0.356572	+	0.934268i	$0.616054\pi$
$558$		0			0
$559$	−4.42630			−0.187213
$560$	−0.0158782	+	0.0115362i	−0.000670975	+	0.000487492i
$561$	−28.1744	+	12.5440i	−1.18952	+	0.529610i
$562$	2.36597	−	7.28171i	0.0998024	−	0.307160i
$563$	8.36744	+	14.4928i	0.352645	+	0.610800i	0.986712	−	0.162479i	$-0.0519488\pi$
$563$	8.36744	+	14.4928i	0.352645	+	0.610800i	−0.634067	+	0.773278i	$0.718616\pi$
$564$	−0.712055	+	1.23331i	−0.0299829	+	0.0519319i
$565$	−0.0405405	−	0.0450248i	−0.00170555	−	0.00189421i
$566$	−1.05048	−	3.23305i	−0.0441551	−	0.135895i
$567$	1.27277	−	1.41356i	0.0534514	−	0.0593638i
$568$	−25.6675	−	11.4279i	−1.07698	−	0.479504i
$569$	−5.22162	+	1.10989i	−0.218902	+	0.0465290i	−0.316057	−	0.948740i	$-0.602359\pi$
$569$	−5.22162	+	1.10989i	−0.218902	+	0.0465290i	0.0971551	+	0.995269i	$0.469026\pi$
$570$	−0.00461598	−	0.0439182i	−0.000193342	−	0.00183953i
$571$	−3.76309	+	35.8034i	−0.157480	+	1.49833i	0.575346	+	0.817910i	$0.304868\pi$
$571$	−3.76309	+	35.8034i	−0.157480	+	1.49833i	−0.732826	+	0.680416i	$0.761799\pi$
$572$	−6.57811	−	1.39822i	−0.275045	−	0.0584625i
$573$	14.8858	+	10.8152i	0.621863	+	0.451810i
$574$	3.40990	+	2.47744i	0.142327	+	0.103406i
$575$	2.36549	+	0.502800i	0.0986477	+	0.0209682i
$576$	1.35244	−	12.8676i	0.0563518	−	0.536152i
$577$	−0.239292	−	2.27671i	−0.00996187	−	0.0947808i	0.988411	−	0.151800i	$-0.0485070\pi$
$577$	−0.239292	−	2.27671i	−0.00996187	−	0.0947808i	−0.998373	+	0.0570193i	$0.981840\pi$
$578$	28.8990	−	6.14267i	1.20204	−	0.255501i
$579$	−11.5881	−	5.15936i	−0.481585	−	0.214416i
$580$	0.00211471	−	0.00234862i	8.78085e−5	−	9.75212e-5i
$581$	0.493281	+	1.51816i	0.0204647	+	0.0629840i
$582$	7.90898	+	8.78381i	0.327838	+	0.364101i
$583$	8.11379	−	14.0535i	0.336039	−	0.582036i
$584$	−6.60114	−	11.4335i	−0.273157	−	0.473122i
$585$	0.0209476	−	0.0644701i	0.000866077	−	0.00266551i
$586$	−22.1827	+	9.87636i	−0.916358	+	0.407989i
$587$	−1.69705	+	1.23298i	−0.0700446	+	0.0508904i	−0.622257	−	0.782813i	$-0.713784\pi$
$587$	−1.69705	+	1.23298i	−0.0700446	+	0.0508904i	0.552212	+	0.833704i	$0.313784\pi$
$588$	−2.10644			−0.0868680
$589$		0			0
$590$	0.131263			0.00540400
$591$	14.5863	−	10.5975i	0.599999	−	0.435925i
$592$	−23.2128	+	10.3350i	−0.954039	+	0.424766i
$593$	−2.05214	+	6.31583i	−0.0842711	+	0.259360i	−0.984309	−	0.176451i	$-0.943538\pi$
$593$	−2.05214	+	6.31583i	−0.0842711	+	0.259360i	0.900038	+	0.435811i	$0.143538\pi$
$594$	14.4629	+	25.0505i	0.593419	+	1.02783i
$595$	0.0181693	−	0.0314701i	0.000744867	−	0.00129015i
$596$	2.11030	+	2.34372i	0.0864411	+	0.0960026i
$597$	4.04045	+	12.4352i	0.165365	+	0.508940i
$598$	2.68753	−	2.98480i	0.109901	−	0.122058i
$599$	28.0667	+	12.4961i	1.14677	+	0.510577i	0.890030	−	0.455902i	$-0.150683\pi$
$599$	28.0667	+	12.4961i	1.14677	+	0.510577i	0.256745	+	0.966479i	$0.417350\pi$
$600$	−18.0203	+	3.83034i	−0.735677	+	0.156373i
$601$	−1.77283	−	16.8674i	−0.0723154	−	0.688035i	−0.969285	−	0.245942i	$-0.920903\pi$
$601$	−1.77283	−	16.8674i	−0.0723154	−	0.688035i	0.896969	−	0.442093i	$-0.145764\pi$
$602$	−0.0767126	+	0.729872i	−0.00312657	+	0.0297473i
$603$	−20.9725	−	4.45784i	−0.854066	−	0.181537i
$604$	−3.87352	−	2.81428i	−0.157611	−	0.114511i
$605$	−0.0283914	−	0.0206276i	−0.00115427	−	0.000838630i
$606$	10.2220	+	2.17276i	0.415242	+	0.0882625i
$607$	−1.87280	+	17.8185i	−0.0760144	+	0.723229i	0.888442	+	0.458988i	$0.151788\pi$
$607$	−1.87280	+	17.8185i	−0.0760144	+	0.723229i	−0.964457	+	0.264241i	$0.914879\pi$
$608$	0.587539	+	5.59006i	0.0238279	+	0.226707i
$609$	1.55546	−	0.330623i	0.0630304	−	0.0133975i
$610$	0.0439602	+	0.0195724i	0.00177990	+	0.000792462i
$611$	−18.1772	+	20.1878i	−0.735371	+	0.816712i
$612$	0.767669	+	2.36264i	0.0310312	+	0.0955041i
$613$	−11.8131	−	13.1198i	−0.477128	−	0.529905i	0.455745	−	0.890111i	$-0.349373\pi$
$613$	−11.8131	−	13.1198i	−0.477128	−	0.529905i	−0.932873	+	0.360206i	$0.882706\pi$
$614$	1.08296	−	1.87574i	0.0437047	−	0.0756987i
$615$	−0.0180992	−	0.0313487i	−0.000729828	−	0.00126410i
$616$	−2.91639	+	8.97572i	−0.117505	+	0.361642i
$617$	18.5836	−	8.27395i	0.748147	−	0.333097i	0.00299887	−	0.999996i	$-0.499045\pi$
$617$	18.5836	−	8.27395i	0.748147	−	0.333097i	0.745148	+	0.666899i	$0.232379\pi$
$618$	11.2187	−	8.15085i	0.451282	−	0.327875i
$619$	16.4294			0.660354			0.330177	−	0.943919i	$-0.392892\pi$
$619$	16.4294			0.660354			0.330177	+	0.943919i	$0.392892\pi$
$620$		0			0
$621$	2.67257			0.107247
$622$	−20.4882	+	14.8855i	−0.821500	+	0.596855i
$623$	0.815063	−	0.362889i	0.0326548	−	0.0145389i
$624$	−8.16518	+	25.1298i	−0.326869	+	1.00600i
$625$	−12.4996	−	21.6499i	−0.499984	−	0.865998i
$626$	−10.1357	+	17.5556i	−0.405106	+	0.701664i
$627$	−12.2705	−	13.6277i	−0.490035	−	0.544239i
$628$	−0.220333	−	0.678114i	−0.00879223	−	0.0270597i
$629$	31.4799	−	34.9619i	1.25518	−	1.39402i
$630$	−0.0102677	−	0.00457147i	−0.000409075	−	0.000182132i
$631$	−10.1883	+	2.16559i	−0.405590	+	0.0862108i	−0.406189	−	0.913789i	$-0.633143\pi$
$631$	−10.1883	+	2.16559i	−0.405590	+	0.0862108i	0.000599228		1.00000i	$0.499809\pi$
$632$	3.26312	+	31.0465i	0.129800	+	1.23496i
$633$	2.13689	−	20.3312i	0.0849339	−	0.808092i
$634$	−37.2366	−	7.91489i	−1.47886	−	0.314340i
$635$	−0.0662211	−	0.0481124i	−0.00262790	−	0.00190928i
$636$	1.09175	+	0.793202i	0.0432907	+	0.0314525i
$637$	−39.3030	−	8.35411i	−1.55724	−	0.331002i
$638$	−0.886737	+	8.43674i	−0.0351062	+	0.334014i
$639$	−1.45241	−	13.8187i	−0.0574563	−	0.546660i
$640$	0.0606963	−	0.0129014i	0.00239923	−	0.000509973i
$641$	−20.8413	−	9.27916i	−0.823184	−	0.366505i	−0.0484758	−	0.998824i	$-0.515436\pi$
$641$	−20.8413	−	9.27916i	−0.823184	−	0.366505i	−0.774708	+	0.632319i	$0.782103\pi$
$642$	−14.6919	+	16.3170i	−0.579842	+	0.643980i
$643$	−7.41261	−	22.8137i	−0.292325	−	0.899683i	−0.984107	−	0.177577i	$-0.943174\pi$
$643$	−7.41261	−	22.8137i	−0.292325	−	0.899683i	0.691782	−	0.722106i	$-0.256826\pi$
$644$	0.0689355	+	0.0765607i	0.00271644	+	0.00301691i
$645$	0.00315142	−	0.00545842i	0.000124087	−	0.000214925i
$646$	15.4352	+	26.7345i	0.607290	+	1.05186i
$647$	6.08563	−	18.7296i	0.239251	−	0.736338i	−0.757278	−	0.653092i	$-0.773471\pi$
$647$	6.08563	−	18.7296i	0.239251	−	0.736338i	0.996529	−	0.0832458i	$-0.0265287\pi$
$648$	−6.52472	+	2.90499i	−0.256315	+	0.114119i
$649$	44.0980	−	32.0391i	1.73100	−	1.25764i
$650$	−41.5199			−1.62854
$651$		0			0
$652$	4.52973			0.177398
$653$	4.01925	−	2.92015i	0.157285	−	0.114274i	−0.506359	−	0.862323i	$-0.669009\pi$
$653$	4.01925	−	2.92015i	0.157285	−	0.114274i	0.663644	+	0.748048i	$0.269009\pi$
$654$	15.1846	−	6.76062i	0.593765	−	0.264361i
$655$	0.00145197	−	0.00446870i	5.67332e−5	−	0.000174607i
$656$	−6.83354	−	11.8360i	−0.266805	−	0.462120i
$657$	3.26452	−	5.65431i	0.127361	−	0.220596i
$658$	3.01382	+	3.34719i	0.117491	+	0.130487i
$659$	0.477032	+	1.46815i	0.0185825	+	0.0571911i	0.959918	−	0.280282i	$-0.0904279\pi$
$659$	0.477032	+	1.46815i	0.0185825	+	0.0571911i	−0.941335	+	0.337473i	$0.890428\pi$
$660$	0.00640771	−	0.00711648i	0.000249420	−	0.000277009i
$661$	14.6502	+	6.52270i	0.569828	+	0.253704i	0.671364	−	0.741128i	$-0.265709\pi$
$661$	14.6502	+	6.52270i	0.569828	+	0.253704i	−0.101536	+	0.994832i	$0.532376\pi$
$662$	2.37781	−	0.505418i	0.0924161	−	0.0196436i
$663$	−5.11379	−	48.6545i	−0.198603	−	1.88958i
$664$	0.626525	−	5.96098i	0.0243139	−	0.231331i
$665$	0.0211348	+	0.00449233i	0.000819571	+	0.000174205i
$666$	−11.7721	−	8.55295i	−0.456161	−	0.331420i
$667$	0.634107	+	0.460705i	0.0245527	+	0.0178386i
$668$	−4.05795	−	0.862543i	−0.157007	−	0.0333728i
$669$	−0.103900	+	0.988538i	−0.00401699	+	0.0382191i
$670$	−0.0145436	−	0.138373i	−0.000561870	−	0.00534583i
$671$	19.5458	−	4.15460i	0.754559	−	0.160386i
$672$	−1.34924	−	0.600721i	−0.0520481	−	0.0231733i
$673$	26.8141	−	29.7801i	1.03361	−	1.14794i	0.0447612	−	0.998998i	$-0.485747\pi$
$673$	26.8141	−	29.7801i	1.03361	−	1.14794i	0.988846	−	0.148940i	$-0.0475860\pi$
$674$	−7.51297	−	23.1225i	−0.289389	−	0.890647i
$675$	−18.4865	−	20.5313i	−0.711546	−	0.790251i
$676$	3.59228	−	6.22201i	0.138164	−	0.239308i
$677$	18.2734	+	31.6504i	0.702303	+	1.21642i	0.967656	+	0.252273i	$0.0811779\pi$
$677$	18.2734	+	31.6504i	0.702303	+	1.21642i	−0.265354	+	0.964151i	$0.585489\pi$
$678$	−4.17920	+	12.8622i	−0.160501	+	0.493971i
$679$	−5.28327	+	2.35226i	−0.202753	+	0.0902716i
$680$	−0.110387	+	0.0802007i	−0.00423314	+	0.00307556i
$681$	−16.6339			−0.637414
$682$		0			0
$683$	−37.5447			−1.43661			−0.718303	−	0.695730i	$-0.755081\pi$
$683$	−37.5447			−1.43661			−0.718303	+	0.695730i	$0.755081\pi$
$684$	−1.19502	+	0.868232i	−0.0456927	+	0.0331977i
$685$	0.0191754	−	0.00853746i	0.000732656	−	0.000326200i
$686$	−4.32169	+	13.3008i	−0.165003	+	0.507827i
$687$	7.99287	+	13.8441i	0.304947	+	0.528183i
$688$	1.18985	−	2.06089i	0.0453628	−	0.0785706i
$689$	17.2246	+	19.1298i	0.656204	+	0.728789i
$690$	0.00176734	+	0.00543930i	6.72814e−5	+	0.000207071i
$691$	1.24409	−	1.38170i	0.0473273	−	0.0525623i	−0.719016	−	0.694993i	$-0.755407\pi$
$691$	1.24409	−	1.38170i	0.0473273	−	0.0525623i	0.766344	+	0.642431i	$0.222074\pi$
$692$	−1.69164	−	0.753166i	−0.0643064	−	0.0286311i
$693$	−4.56528	+	0.970380i	−0.173421	+	0.0368617i
$694$	1.66861	+	15.8758i	0.0633396	+	0.602636i
$695$	−0.00257057	+	0.0244573i	−9.75071e−5	+	0.000927718i
$696$	−5.84051	−	1.24144i	−0.221384	−	0.0470566i
$697$	20.4719	+	14.8737i	0.775429	+	0.563382i
$698$	1.15070	+	0.836033i	0.0435547	+	0.0316443i
$699$	14.9197	+	3.17127i	0.564314	+	0.119949i
$700$	0.111322	−	1.05916i	0.00420758	−	0.0400324i
$701$	−4.51480	−	42.9554i	−0.170522	−	1.62240i	−0.660609	−	0.750730i	$-0.729702\pi$
$701$	−4.51480	−	42.9554i	−0.170522	−	1.62240i	0.490087	−	0.871673i	$-0.336965\pi$
$702$	−44.8821	+	9.53999i	−1.69397	+	0.360064i
$703$	25.5551	+	11.3779i	0.963829	+	0.429124i
$704$	23.3297	−	25.9102i	0.879270	−	0.976528i
$705$	−0.0119535	−	0.0367890i	−0.000450193	−	0.00138555i
$706$	16.1802	+	17.9699i	0.608950	+	0.676307i
$707$	−2.55662	+	4.42820i	−0.0961517	+	0.166540i
$708$	2.26643	+	3.92558i	0.0851778	+	0.147532i
$709$	14.9906	−	46.1365i	0.562986	−	1.73269i	−0.110876	−	0.993834i	$-0.535366\pi$
$709$	14.9906	−	46.1365i	0.562986	−	1.73269i	0.673862	−	0.738857i	$-0.264634\pi$
$710$	0.0823714	−	0.0366741i	0.00309134	−	0.00137635i
$711$	−12.4898	+	9.07437i	−0.468404	+	0.340316i
$712$	−3.35006			−0.125549
$713$		0			0
$714$	−8.11147			−0.303564
$715$	0.147782	−	0.107370i	0.00552674	−	0.00401541i
$716$	−3.54479	+	1.57824i	−0.132475	+	0.0589817i
$717$	−6.07802	+	18.7062i	−0.226988	+	0.698597i
$718$	−18.2235	−	31.5640i	−0.680094	−	1.17796i
$719$	13.3329	−	23.0932i	0.497233	−	0.861233i	−0.502762	−	0.864425i	$-0.667683\pi$
$719$	13.3329	−	23.0932i	0.497233	−	0.861233i	0.999995	+	0.00319224i	$0.00101612\pi$
$720$	0.0243863	+	0.0270837i	0.000908823	+	0.00100935i
$721$	2.09667	+	6.45288i	0.0780840	+	0.240318i
$722$	4.44960	−	4.94178i	0.165597	−	0.183914i
$723$	23.1432	+	10.3040i	0.860705	+	0.383210i
$724$	−4.54827	+	0.966766i	−0.169035	+	0.0359296i
$725$	−0.846942	−	8.05811i	−0.0314546	−	0.299271i
$726$	−0.818834	+	7.79068i	−0.0303898	+	0.289139i
$727$	35.9636	+	7.64430i	1.33382	+	0.283511i	0.819002	−	0.573791i	$-0.194528\pi$
$727$	35.9636	+	7.64430i	1.33382	+	0.283511i	0.514814	+	0.857302i	$0.327861\pi$
$728$	−12.1117	−	8.79965i	−0.448889	−	0.326137i
$729$	−19.4128	−	14.1042i	−0.718992	−	0.522378i
$730$	0.0414425	+	0.00880888i	0.00153386	+	0.000326031i
$731$	−0.460557	+	4.38191i	−0.0170343	+	0.162071i
$732$	0.173698	+	1.65263i	0.00642008	+	0.0610830i
$733$	−48.5052	+	10.3101i	−1.79158	+	0.380812i	−0.979294	−	0.202445i	$-0.935111\pi$
$733$	−48.5052	+	10.3101i	−1.79158	+	0.380812i	−0.812287	+	0.583257i	$0.801778\pi$
$734$	−6.64339	−	2.95783i	−0.245212	−	0.109175i
$735$	0.0382849	−	0.0425197i	0.00141216	−	0.00156836i
$736$	−0.224953	−	0.692335i	−0.00829188	−	0.0255198i
$737$	−38.6607	−	42.9370i	−1.42408	−	1.58161i
$738$	3.91333	−	6.77808i	0.144052	−	0.249505i
$739$	−15.4840	−	26.8190i	−0.569587	−	0.986554i	−0.996607	−	0.0823114i	$-0.973770\pi$
$739$	−15.4840	−	26.8190i	−0.569587	−	0.986554i	0.427020	−	0.904242i	$-0.359564\pi$
$740$	−0.00451411	+	0.0138930i	−0.000165942	+	0.000510717i
$741$	26.5744	−	11.8317i	0.976236	−	0.434648i
$742$	3.45292	−	2.50869i	0.126761	−	0.0920970i
$743$	45.6267			1.67388			0.836940	−	0.547294i	$-0.184342\pi$
$743$	45.6267			1.67388			0.836940	+	0.547294i	$0.184342\pi$
$744$		0			0
$745$	−0.0856644			−0.00313850
$746$	6.01011	−	4.36660i	0.220046	−	0.159873i
$747$	2.70791	−	1.20564i	0.0990772	−	0.0441120i
$748$	−2.06865	+	6.36665i	−0.0756373	+	0.232788i
$749$	−5.37155	−	9.30380i	−0.196272	−	0.339953i
$750$	0.0591226	−	0.102403i	0.00215885	−	0.00373924i
$751$	19.1301	+	21.2461i	0.698066	+	0.775280i	0.983067	−	0.183247i	$-0.0586607\pi$
$751$	19.1301	+	21.2461i	0.698066	+	0.775280i	−0.285001	+	0.958527i	$0.591994\pi$
$752$	−4.51316	−	13.8901i	−0.164578	−	0.506519i
$753$	3.49360	−	3.88003i	0.127314	−	0.141396i
$754$	−12.2935	−	5.47340i	−0.447702	−	0.199330i
$755$	0.127210	−	0.0270393i	0.00462964	−	0.000984060i
$756$	−0.123025	−	1.17051i	−0.00447438	−	0.0425709i
$757$	0.827256	−	7.87081i	0.0300671	−	0.286069i	−0.969149	−	0.246476i	$-0.920727\pi$
$757$	0.827256	−	7.87081i	0.0300671	−	0.286069i	0.999216	−	0.0395930i	$-0.0126061\pi$
$758$	−14.3826	−	3.05711i	−0.522398	−	0.111039i
$759$	1.92139	+	1.39597i	0.0697419	+	0.0506705i
$760$	−0.0656360	−	0.0476874i	−0.00238087	−	0.00172980i
$761$	22.3708	+	4.75505i	0.810939	+	0.172370i	0.594677	−	0.803965i	$-0.297280\pi$
$761$	22.3708	+	4.75505i	0.810939	+	0.172370i	0.216262	+	0.976335i	$0.430613\pi$
$762$	−1.90988	+	18.1713i	−0.0691875	+	0.658275i
$763$	0.850102	+	8.08818i	0.0307758	+	0.292812i
$764$	3.90660	−	0.830373i	0.141336	−	0.0300418i
$765$	−0.0616438	−	0.0274456i	−0.00222874	−	0.000992298i
$766$	16.3096	−	18.1137i	0.589290	−	0.654473i
$767$	26.7195	+	82.2341i	0.964784	+	2.96930i
$768$	5.21242	+	5.78898i	0.188087	+	0.208892i
$769$	11.6069	−	20.1037i	0.418555	−	0.724959i	−0.577239	−	0.816575i	$-0.695870\pi$
$769$	11.6069	−	20.1037i	0.418555	−	0.724959i	0.995794	+	0.0916164i	$0.0292034\pi$
$770$	−0.0151435	−	0.0262293i	−0.000545733	−	0.000945237i
$771$	−7.07540	+	21.7758i	−0.254814	+	0.784238i
$772$	−2.51532	+	1.11989i	−0.0905282	+	0.0403058i
$773$	−18.0972	+	13.1484i	−0.650912	+	0.472915i	−0.863582	−	0.504209i	$-0.831784\pi$
$773$	−18.0972	+	13.1484i	−0.650912	+	0.472915i	0.212670	+	0.977124i	$0.431784\pi$
$774$	1.36277			0.0489839
$775$		0			0
$776$	21.7152			0.779531
$777$	−5.94651	+	4.32039i	−0.213330	+	0.154993i
$778$	−28.3571	+	12.6254i	−1.01665	+	0.452643i
$779$	−4.64953	+	14.3098i	−0.166587	+	0.512701i
$780$	0.00759532	+	0.0131555i	0.000271956	+	0.000471042i
$781$	18.7213	−	32.4263i	0.669901	−	1.16030i
$782$	−2.67522	−	2.97114i	−0.0956658	−	0.106248i
$783$	−2.76703	−	8.51605i	−0.0988856	−	0.304339i
$784$	14.4549	−	16.0538i	0.516246	−	0.573349i
$785$	0.0176927	+	0.00787731i	0.000631480	+	0.000281153i
$786$	−1.02592	+	0.218065i	−0.0365932	+	0.00777812i
$787$	1.19823	+	11.4004i	0.0427122	+	0.406380i	0.994900	+	0.100866i	$0.0321614\pi$
$787$	1.19823	+	11.4004i	0.0427122	+	0.406380i	−0.952188	+	0.305513i	$0.901172\pi$
$788$	0.409073	−	3.89207i	0.0145726	−	0.138649i
$789$	−17.4923	−	3.71811i	−0.622744	−	0.132368i
$790$	−0.0810491	−	0.0588856i	−0.00288360	−	0.00209506i
$791$	−5.35342	−	3.88949i	−0.190346	−	0.138294i
$792$	17.1419	+	3.64363i	0.609111	+	0.129471i
$793$	−3.31336	+	31.5245i	−0.117661	+	1.11947i
$794$	1.50074	+	14.2786i	0.0532592	+	0.506727i
$795$	−0.0358540	+	0.00762100i	−0.00127161	+	0.000270289i
$796$	2.59273	+	1.15436i	0.0918970	+	0.0409152i
$797$	23.6807	−	26.3001i	0.838814	−	0.931597i	−0.159640	−	0.987175i	$-0.551033\pi$
$797$	23.6807	−	26.3001i	0.838814	−	0.931597i	0.998454	+	0.0555779i	$0.0177001\pi$
$798$	−1.49041	−	4.58703i	−0.0527601	−	0.162379i
$799$	18.0940	+	20.0954i	0.640119	+	0.710925i
$800$	−3.76265	+	6.51710i	−0.133030	+	0.230414i
$801$	−0.828367	−	1.43477i	−0.0292689	−	0.0506953i
$802$	−4.33974	+	13.3563i	−0.153241	+	0.471629i
$803$	16.0728	−	7.15608i	0.567197	−	0.252533i
$804$	3.88712	−	2.82415i	0.137088	−	0.0996003i
$805$	−0.00279834			−9.86284e−5
$806$		0			0
$807$	18.5678			0.653619
$808$	15.5327	−	11.2851i	0.546437	−	0.397010i
$809$	−9.92116	+	4.41719i	−0.348810	+	0.155300i	−0.573661	−	0.819093i	$-0.694477\pi$
$809$	−9.92116	+	4.41719i	−0.348810	+	0.155300i	0.224851	+	0.974393i	$0.427810\pi$
$810$	0.00708283	−	0.0217987i	0.000248865	−	0.000765929i
$811$	−20.6303	−	35.7328i	−0.724429	−	1.25475i	−0.959209	−	0.282699i	$-0.908770\pi$
$811$	−20.6303	−	35.7328i	−0.724429	−	1.25475i	0.234779	−	0.972049i	$-0.424563\pi$
$812$	0.172586	−	0.298927i	0.00605657	−	0.0104903i
$813$	18.9283	+	21.0220i	0.663844	+	0.737273i
$814$	−12.1169	−	37.2921i	−0.424698	−	1.30709i
$815$	−0.0823287	+	0.0914352i	−0.00288385	+	0.00320284i
$816$	24.0282	+	10.6980i	0.841155	+	0.374506i
$817$	−2.56259	+	0.544695i	−0.0896536	+	0.0190565i
$818$	1.29670	+	12.3372i	0.0453379	+	0.431361i
$819$	0.773894	−	7.36311i	0.0270420	−	0.257288i
$820$	−0.00768551	−	0.00163361i	−0.000268390	−	5.70480e-5i
$821$	−4.78145	−	3.47393i	−0.166874	−	0.121241i	0.501214	−	0.865323i	$-0.332887\pi$
$821$	−4.78145	−	3.47393i	−0.166874	−	0.121241i	−0.668088	+	0.744083i	$0.732887\pi$
$822$	−3.79057	−	2.75401i	−0.132211	−	0.0960572i
$823$	−10.8652	−	2.30947i	−0.378737	−	0.0805030i	0.0146097	−	0.999893i	$-0.495349\pi$
$823$	−10.8652	−	2.30947i	−0.378737	−	0.0805030i	−0.393347	+	0.919390i	$0.628683\pi$
$824$	2.66302	−	25.3369i	0.0927706	−	0.882653i
$825$	−2.56629	−	24.4166i	−0.0893468	−	0.850078i
$826$	14.0230	−	2.98068i	0.487923	−	0.103711i
$827$	−5.01063	−	2.23088i	−0.174237	−	0.0775751i	0.317765	−	0.948170i	$-0.397068\pi$
$827$	−5.01063	−	2.23088i	−0.174237	−	0.0775751i	−0.492001	+	0.870594i	$0.663734\pi$
$828$	0.128007	−	0.142167i	0.00444857	−	0.00494063i
$829$	−11.4773	−	35.3234i	−0.398622	−	1.22683i	−0.926105	−	0.377266i	$-0.876864\pi$
$829$	−11.4773	−	35.3234i	−0.398622	−	1.22683i	0.527483	−	0.849565i	$-0.323136\pi$
$830$	0.0128709	+	0.0142945i	0.000446754	+	0.000496170i
$831$	−8.91941	+	15.4489i	−0.309411	+	0.535915i
$832$	27.6536	+	47.8974i	0.958716	+	1.66054i
$833$	−12.3598	+	38.0395i	−0.428241	+	1.31799i
$834$	5.01483	−	2.23275i	0.173649	−	0.0773137i
$835$	0.0911649	−	0.0662352i	0.00315489	−	0.00229216i
$836$	−3.98043			−0.137666
$837$		0			0
$838$	38.4379			1.32782
$839$	−29.2866	+	21.2780i	−1.01109	+	0.734597i	−0.964437	−	0.264314i	$-0.914854\pi$
$839$	−29.2866	+	21.2780i	−1.01109	+	0.734597i	−0.0466496	+	0.998911i	$0.514854\pi$
$840$	0.0194748	−	0.00867072i	0.000671943	−	0.000299168i
$841$	−8.14999	+	25.0831i	−0.281034	+	0.864934i
$842$	0.392621	+	0.680040i	0.0135306	+	0.0234357i
$843$	−3.59084	+	6.21952i	−0.123675	+	0.214212i
$844$	−2.96920	−	3.29763i	−0.102204	−	0.113509i
$845$	0.0603045	+	0.185598i	0.00207454	+	0.00638478i
$846$	5.59641	−	6.21545i	0.192409	−	0.213691i
$847$	−3.50150	−	1.55897i	−0.120313	−	0.0535668i
$848$	−13.5371	+	2.87739i	−0.464865	+	0.0988101i
$849$	0.333304	+	3.17118i	0.0114390	+	0.108834i
$850$	−4.32014	+	41.1034i	−0.148180	+	1.40984i
$851$	−3.54372	−	0.753240i	−0.121477	−	0.0258207i
$852$	2.51904	+	1.83019i	0.0863009	+	0.0627013i
$853$	9.04001	+	6.56795i	0.309524	+	0.224882i	0.731692	−	0.681635i	$-0.238731\pi$
$853$	9.04001	+	6.56795i	0.309524	+	0.224882i	−0.422168	+	0.906517i	$0.638731\pi$
$854$	5.14078	+	1.09271i	0.175914	+	0.0373917i
$855$	0.00419391	−	0.0399024i	0.000143429	−	0.00136463i
$856$	4.21654	+	40.1177i	0.144118	+	1.37119i
$857$	−53.6671	+	11.4073i	−1.83323	+	0.389666i	−0.989194	−	0.146613i	$-0.953163\pi$
$857$	−53.6671	+	11.4073i	−1.83323	+	0.389666i	−0.844040	+	0.536279i	$0.819829\pi$
$858$	−37.2500	−	16.5848i	−1.27170	−	0.566195i
$859$	13.3230	−	14.7967i	0.454574	−	0.504856i	−0.471672	−	0.881774i	$-0.656350\pi$
$859$	13.3230	−	14.7967i	0.454574	−	0.504856i	0.926247	+	0.376918i	$0.123016\pi$
$860$	−0.000422765	−	0.00130114i	−1.44162e−5	−	4.43684e-5i
$861$	−2.64542	−	2.93803i	−0.0901556	−	0.100128i
$862$	−15.7958	+	27.3591i	−0.538007	+	0.931855i
$863$	5.58861	+	9.67975i	0.190238	+	0.329503i	0.945329	−	0.326118i	$-0.105741\pi$
$863$	5.58861	+	9.67975i	0.190238	+	0.329503i	−0.755091	+	0.655620i	$0.772407\pi$
$864$	−2.56992	+	7.90939i	−0.0874304	+	0.269083i
$865$	0.0459489	−	0.0204578i	0.00156231	−	0.000695585i
$866$	13.3562	−	9.70385i	0.453862	−	0.329750i
$867$	−27.7126			−0.941170
$868$		0			0
$869$	−41.6017			−1.41124
$870$	0.0155023	−	0.0112631i	0.000525578	−	0.000381855i
$871$	83.7284	−	37.2783i	2.83703	−	1.26313i
$872$	9.43650	−	29.0426i	0.319560	−	0.983505i
$873$	5.36951	+	9.30026i	0.181730	+	0.314766i
$874$	1.18862	−	2.05876i	0.0402058	−	0.0696386i
$875$	0.0387131	+	0.0429952i	0.00130874	+	0.00145350i
$876$	0.452122	+	1.39149i	0.0152758	+	0.0470140i
$877$	−18.4336	+	20.4725i	−0.622457	+	0.691309i	−0.969094	−	0.246690i	$-0.920657\pi$
$877$	−18.4336	+	20.4725i	−0.622457	+	0.691309i	0.346637	+	0.937999i	$0.387324\pi$
$878$	47.0303	+	20.9393i	1.58720	+	0.706666i
$879$	22.2786	−	4.73546i	0.751438	−	0.159723i
$880$	0.0102655	+	0.0976701i	0.000346051	+	0.00329246i
$881$	1.49083	−	14.1843i	0.0502274	−	0.477882i	−0.940278	−	0.340408i	$-0.889435\pi$
$881$	1.49083	−	14.1843i	0.0502274	−	0.477882i	0.990505	−	0.137474i	$-0.0438984\pi$
$882$	12.1006	+	2.57207i	0.407450	+	0.0866062i
$883$	−15.1083	−	10.9768i	−0.508434	−	0.369399i	0.303795	−	0.952737i	$-0.401746\pi$
$883$	−15.1083	−	10.9768i	−0.508434	−	0.369399i	−0.812229	+	0.583338i	$0.801746\pi$
$884$	−8.59105	−	6.24176i	−0.288948	−	0.209933i
$885$	−0.120433	−	0.0255988i	−0.00404831	−	0.000860494i
$886$	−1.03066	+	9.80609i	−0.0346258	+	0.329442i
$887$	3.63116	+	34.5482i	0.121922	+	1.16001i	0.868838	+	0.495096i	$0.164867\pi$
$887$	3.63116	+	34.5482i	0.121922	+	1.16001i	−0.746916	+	0.664919i	$0.768466\pi$
$888$	26.9961	−	5.73819i	0.905929	−	0.192561i
$889$	−8.16703	−	3.63619i	−0.273913	−	0.121954i
$890$	0.00719377	−	0.00798949i	0.000241136	−	0.000267808i
$891$	−2.94122	−	9.05214i	−0.0985345	−	0.303258i
$892$	0.144368	+	0.160337i	0.00483379	+	0.00536847i
$893$	−8.03931	+	13.9245i	−0.269025	+	0.465966i
$894$	9.56098	+	16.5601i	0.319767	+	0.553853i
$895$	0.0325695	−	0.100238i	0.00108868	−	0.00335060i
$896$	6.19132	−	2.75655i	0.206837	−	0.0920900i
$897$	−3.04789	+	2.21442i	−0.101766	+	0.0739373i
$898$	23.0498			0.769183
$899$		0			0
$900$	−1.97760			−0.0659200
$901$	20.7302	−	15.0614i	0.690622	−	0.501767i
$902$	19.2672	−	8.57832i	0.641528	−	0.285627i
$903$	0.212723	−	0.654693i	0.00707897	−	0.0217868i
$904$	12.4233	+	21.5177i	0.413191	+	0.715668i
$905$	0.0631510	−	0.109381i	0.00209921	−	0.00363594i
$906$	−19.4249	−	21.5735i	−0.645349	−	0.716733i
$907$	−1.96839	−	6.05808i	−0.0653593	−	0.201155i	0.913044	−	0.407862i	$-0.133725\pi$
$907$	−1.96839	−	6.05808i	−0.0653593	−	0.201155i	−0.978403	+	0.206706i	$0.933725\pi$
$908$	−2.41594	+	2.68317i	−0.0801758	+	0.0890442i
$909$	8.67399	+	3.86191i	0.287698	+	0.128091i
$910$	0.0469942	−	0.00998892i	0.00155784	−	0.000331129i
$911$	−5.68028	−	54.0442i	−0.188196	−	1.79057i	−0.527160	−	0.849766i	$-0.676743\pi$
$911$	−5.68028	−	54.0442i	−0.188196	−	1.79057i	0.338964	−	0.940799i	$-0.389924\pi$
$912$	−1.63475	+	15.5536i	−0.0541319	+	0.515031i
$913$	7.81306	+	1.66072i	0.258574	+	0.0549617i
$914$	5.21083	+	3.78589i	0.172359	+	0.125226i
$915$	−0.0365163	−	0.0265306i	−0.00120719	−	0.000877076i
$916$	3.39404	+	0.721425i	0.112142	+	0.0238366i
$917$	0.0536420	−	0.510370i	0.00177141	−	0.0168539i
$918$	4.77432	+	45.4246i	0.157576	+	1.49923i
$919$	43.7200	−	9.29297i	1.44219	−	0.306547i	0.580615	−	0.814178i	$-0.302812\pi$
$919$	43.7200	−	9.29297i	1.44219	−	0.306547i	0.861574	+	0.507632i	$0.169479\pi$
$920$	0.00959891	+	0.00427371i	0.000316467	+	0.000140900i
$921$	−1.35942	+	1.50978i	−0.0447943	+	0.0497491i
$922$	8.24653	+	25.3802i	0.271585	+	0.835853i
$923$	39.7431	+	44.1391i	1.30816	+	1.45286i
$924$	0.522946	−	0.905770i	0.0172037	−	0.0297976i
$925$	18.7257	+	32.4339i	0.615698	+	1.06642i
$926$	−9.33587	+	28.7328i	−0.306796	+	0.944220i
$927$	11.5098	−	5.12451i	0.378033	−	0.168311i
$928$	−1.97319	+	1.43361i	−0.0647732	+	0.0470605i
$929$	15.4573			0.507139			0.253569	−	0.967317i	$-0.418395\pi$
$929$	15.4573			0.507139			0.253569	+	0.967317i	$0.418395\pi$
$930$		0			0
$931$	−23.7823			−0.779434
$932$	2.67851	−	1.94605i	0.0877374	−	0.0637449i
$933$	21.7007	−	9.66179i	0.710450	−	0.316313i
$934$	−11.0975	+	34.1545i	−0.363121	+	1.11757i
$935$	−0.0909164	−	0.157472i	−0.00297328	−	0.00514988i
$936$	−13.8998	+	24.0752i	−0.454329	+	0.786922i
$937$	−3.55839	−	3.95199i	−0.116247	−	0.129106i	0.682212	−	0.731154i	$-0.261018\pi$
$937$	−3.55839	−	3.95199i	−0.116247	−	0.129106i	−0.798460	+	0.602048i	$0.794351\pi$
$938$	−4.69587	−	14.4524i	−0.153326	−	0.471887i
$939$	12.7232	−	14.1305i	0.415205	−	0.461132i
$940$	−0.00767046	−	0.00341511i	−0.000250183	−	0.000111389i
$941$	−13.0865	+	2.78162i	−0.426607	+	0.0906781i	−0.416211	−	0.909268i	$-0.636642\pi$
$941$	−13.0865	+	2.78162i	−0.426607	+	0.0906781i	−0.0103954	+	0.999946i	$0.503309\pi$
$942$	−0.451888	−	4.29943i	−0.0147233	−	0.140083i
$943$	0.203689	−	1.93797i	0.00663303	−	0.0631091i
$944$	−45.4708	−	9.66512i	−1.47995	−	0.314573i
$945$	0.0258634	+	0.0187908i	0.000841335	+	0.000611266i
$946$	2.97094	+	2.15852i	0.0965938	+	0.0701795i
$947$	6.57089	+	1.39669i	0.213525	+	0.0453862i	0.313432	−	0.949611i	$-0.398521\pi$
$947$	6.57089	+	1.39669i	0.213525	+	0.0453862i	−0.0999070	+	0.994997i	$0.531855\pi$
$948$	0.361624	−	3.44062i	0.0117450	−	0.111746i
$949$	2.91730	+	27.7562i	0.0946994	+	0.901005i
$950$	−24.0377	+	5.10938i	−0.779887	+	0.165770i
$951$	32.6209	+	14.5237i	1.05780	+	0.470965i
$952$	−9.97161	+	11.0746i	−0.323182	+	0.358930i
$953$	6.36940	+	19.6030i	0.206325	+	0.635003i	0.999656	+	0.0262129i	$0.00834479\pi$
$953$	6.36940	+	19.6030i	0.206325	+	0.635003i	−0.793331	+	0.608790i	$0.791655\pi$
$954$	−5.30312	−	5.88971i	−0.171695	−	0.190687i
$955$	−0.0542416	+	0.0939491i	−0.00175522	+	0.00304012i
$956$	2.13467	+	3.69735i	0.0690401	+	0.119581i
$957$	2.45891	−	7.56773i	0.0794851	−	0.244630i
$958$	41.3494	−	18.4099i	1.33594	−	0.594798i
$959$	1.85468	−	1.34750i	0.0598906	−	0.0435131i
$960$	−0.0787547			−0.00254180
$961$		0			0
$962$	62.2005			2.00543
$963$	−16.1391	+	11.7257i	−0.520075	+	0.377857i
$964$	5.02347	−	2.23659i	0.161795	−	0.0720357i
$965$	0.0231107	−	0.0711273i	0.000743959	−	0.00228967i
$966$	0.312322	+	0.540957i	0.0100488	+	0.0174050i
$967$	29.5645	−	51.2072i	0.950731	−	1.64671i	0.206881	−	0.978366i	$-0.433669\pi$
$967$	29.5645	−	51.2072i	0.950731	−	1.64671i	0.743849	−	0.668348i	$-0.232998\pi$
$968$	9.63002	+	10.6952i	0.309520	+	0.343757i
$969$	−8.94796	−	27.5390i	−0.287450	−	0.884679i
$970$	−0.0466303	+	0.0517882i	−0.00149721	+	0.00166282i
$971$	−41.8237	−	18.6211i	−1.34218	−	0.597579i	−0.395122	−	0.918628i	$-0.629298\pi$
$971$	−41.8237	−	18.6211i	−1.34218	−	0.597579i	−0.947063	+	0.321049i	$0.895965\pi$
$972$	−3.57052	+	0.758937i	−0.114524	+	0.0243429i
$973$	0.280753	+	2.67118i	0.00900051	+	0.0856342i
$974$	−3.75665	+	35.7422i	−0.120371	+	1.14525i
$975$	38.0943	+	8.09719i	1.21999	+	0.259318i
$976$	−13.7871	−	10.0169i	−0.441316	−	0.320635i
$977$	−6.01653	−	4.37127i	−0.192486	−	0.139849i	0.487368	−	0.873197i	$-0.337957\pi$
$977$	−6.01653	−	4.37127i	−0.192486	−	0.139849i	−0.679854	+	0.733347i	$0.737957\pi$
$978$	26.8644	+	5.71020i	0.859028	+	0.182592i
$979$	0.466660	−	4.43997i	0.0149145	−	0.141902i
$980$	−0.00129817	−	0.0123512i	−4.14685e−5	−	0.000394546i
$981$	14.7718	−	3.13984i	0.471627	−	0.100247i
$982$	−42.6844	−	19.0043i	−1.36211	−	0.606452i
$983$	−18.2071	+	20.2210i	−0.580717	+	0.644951i	−0.959891	−	0.280374i	$-0.909541\pi$
$983$	−18.2071	+	20.2210i	−0.580717	+	0.644951i	0.379174	+	0.925325i	$0.376208\pi$
$984$	4.58731	+	14.1183i	0.146238	+	0.450074i
$985$	0.0711288	+	0.0789965i	0.00226635	+	0.00251704i
$986$	−6.69764	+	11.6007i	−0.213296	+	0.369440i
$987$	−2.11240	−	3.65878i	−0.0672384	−	0.116460i
$988$	1.95118	−	6.00510i	0.0620751	−	0.191048i
$989$	0.309964	−	0.138005i	0.00985629	−	0.00438830i
$990$	−0.0454994	+	0.0330572i	−0.00144606	+	0.00105063i
$991$	17.2059			0.546563			0.273282	−	0.961934i	$-0.411891\pi$
$991$	17.2059			0.546563			0.273282	+	0.961934i	$0.411891\pi$
$992$		0			0
$993$	−2.28019			−0.0723597
$994$	7.96708	−	5.78842i	0.252700	−	0.183598i
$995$	−0.0704248	+	0.0313551i	−0.00223262	+	0.000994025i
$996$	−0.205263	+	0.631734i	−0.00650400	+	0.0200173i
$997$	−14.7528	−	25.5527i	−0.467227	−	0.809261i	0.532072	−	0.846699i	$-0.321414\pi$
$997$	−14.7528	−	25.5527i	−0.467227	−	0.809261i	−0.999299	+	0.0374383i	$0.988080\pi$
$998$	7.37511	−	12.7741i	0.233455	−	0.404356i
$999$	27.6944	+	30.7578i	0.876213	+	0.973133i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	961.2.g.w.235.9		128
31.2	even	5	inner	961.2.g.w.816.10		128
31.3	odd	30	inner	961.2.g.w.844.7		128
31.4	even	5	inner	961.2.g.w.846.8		128
31.5	even	3		961.2.d.s.388.10		64
31.6	odd	6	inner	961.2.g.w.338.9		128
31.7	even	15	inner	961.2.g.w.448.7		128
31.8	even	5		961.2.c.l.439.8		32
31.9	even	15		961.2.a.l.1.7	✓	16
31.10	even	15		961.2.d.s.374.10		64
31.11	odd	30		961.2.d.s.628.8		64
31.12	odd	30	inner	961.2.g.w.732.10		128
31.13	odd	30		961.2.d.s.531.8		64
31.14	even	15		961.2.c.l.521.8		32
31.15	odd	10	inner	961.2.g.w.547.8		128
31.16	even	5	inner	961.2.g.w.547.7		128
31.17	odd	30		961.2.c.l.521.7		32
31.18	even	15		961.2.d.s.531.7		64
31.19	even	15	inner	961.2.g.w.732.9		128
31.20	even	15		961.2.d.s.628.7		64
31.21	odd	30		961.2.d.s.374.9		64
31.22	odd	30		961.2.a.l.1.8	yes	16
31.23	odd	10		961.2.c.l.439.7		32
31.24	odd	30	inner	961.2.g.w.448.8		128
31.25	even	3	inner	961.2.g.w.338.10		128
31.26	odd	6		961.2.d.s.388.9		64
31.27	odd	10	inner	961.2.g.w.846.7		128
31.28	even	15	inner	961.2.g.w.844.8		128
31.29	odd	10	inner	961.2.g.w.816.9		128
31.30	odd	2	inner	961.2.g.w.235.10		128
93.53	even	30		8649.2.a.bs.1.10		16
93.71	odd	30		8649.2.a.bs.1.9		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
961.2.a.l.1.7	✓	16	31.9	even	15
961.2.a.l.1.8	yes	16	31.22	odd	30
961.2.c.l.439.7		32	31.23	odd	10
961.2.c.l.439.8		32	31.8	even	5
961.2.c.l.521.7		32	31.17	odd	30
961.2.c.l.521.8		32	31.14	even	15
961.2.d.s.374.9		64	31.21	odd	30
961.2.d.s.374.10		64	31.10	even	15
961.2.d.s.388.9		64	31.26	odd	6
961.2.d.s.388.10		64	31.5	even	3
961.2.d.s.531.7		64	31.18	even	15
961.2.d.s.531.8		64	31.13	odd	30
961.2.d.s.628.7		64	31.20	even	15
961.2.d.s.628.8		64	31.11	odd	30
961.2.g.w.235.9		128	1.1	even	1	trivial
961.2.g.w.235.10		128	31.30	odd	2	inner
961.2.g.w.338.9		128	31.6	odd	6	inner
961.2.g.w.338.10		128	31.25	even	3	inner
961.2.g.w.448.7		128	31.7	even	15	inner
961.2.g.w.448.8		128	31.24	odd	30	inner
961.2.g.w.547.7		128	31.16	even	5	inner
961.2.g.w.547.8		128	31.15	odd	10	inner
961.2.g.w.732.9		128	31.19	even	15	inner
961.2.g.w.732.10		128	31.12	odd	30	inner
961.2.g.w.816.9		128	31.29	odd	10	inner
961.2.g.w.816.10		128	31.2	even	5	inner
961.2.g.w.844.7		128	31.3	odd	30	inner
961.2.g.w.844.8		128	31.28	even	15	inner
961.2.g.w.846.7		128	31.27	odd	10	inner
961.2.g.w.846.8		128	31.4	even	5	inner
8649.2.a.bs.1.9		16	93.71	odd	30
8649.2.a.bs.1.10		16	93.53	even	30

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:	\( N \)	\(=\)	\( 961 = 31^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	961.g (of order \(15\), degree \(8\), not minimal)

\(f(q)\)	\(=\)	\(q+(1.06472 - 0.773568i) q^{2} +(-1.12774 + 0.502102i) q^{3} +(-0.0828021 + 0.254839i) q^{4} +(-0.00363912 - 0.00630315i) q^{5} +(-0.812323 + 1.40699i) q^{6} +(-0.531904 - 0.590739i) q^{7} +(0.922351 + 2.83870i) q^{8} +(-0.987700 + 1.09695i) q^{9} +(-0.00875058 - 0.00389601i) q^{10} +(-3.89073 + 0.827001i) q^{11} +(-0.0345758 - 0.328967i) q^{12} +(0.659547 - 6.27517i) q^{13} +(-1.02331 - 0.217511i) q^{14} +(0.00726882 + 0.00528110i) q^{15} +(2.74442 + 1.99394i) q^{16} +(-6.14360 - 1.30586i) q^{17} +(-0.203062 + 1.93200i) q^{18} +(-0.390372 - 3.71414i) q^{19} +(0.00190761 - 0.000405476i) q^{20} +(0.896461 + 0.399130i) q^{21} +(-3.50282 + 3.89027i) q^{22} +(0.149463 + 0.460000i) q^{23} +(-2.46549 - 2.73821i) q^{24} +(2.49997 - 4.33008i) q^{25} +(-4.15203 - 7.19153i) q^{26} +(1.70750 - 5.25514i) q^{27} +(0.194586 - 0.0866352i) q^{28} +(1.31103 - 0.952516i) q^{29} +0.0118246 q^{30} -1.50508 q^{32} +(3.97250 - 2.88619i) q^{33} +(-7.55142 + 3.36211i) q^{34} +(-0.00178785 + 0.00550244i) q^{35} +(-0.197762 - 0.342534i) q^{36} +(-3.74519 + 6.48685i) q^{37} +(-3.28878 - 3.65256i) q^{38} +(2.40698 + 7.40792i) q^{39} +(0.0145362 - 0.0161441i) q^{40} +(-3.68055 - 1.63869i) q^{41} +(1.26324 - 0.268510i) q^{42} +(-0.0733272 - 0.697661i) q^{43} +(0.111409 - 1.05999i) q^{44} +(0.0105086 + 0.00223367i) q^{45} +(0.514978 + 0.374153i) q^{46} +(-3.48307 - 2.53060i) q^{47} +(-4.09616 - 0.870666i) q^{48} +(0.665648 - 6.33322i) q^{49} +(-0.687828 - 6.54425i) q^{50} +(7.58406 - 1.61204i) q^{51} +(1.54454 + 0.687675i) q^{52} +(-2.72984 + 3.03180i) q^{53} +(-2.24719 - 6.91615i) q^{54} +(0.0193716 + 0.0215143i) q^{55} +(1.18633 - 2.05479i) q^{56} +(2.30512 + 3.99258i) q^{57} +(0.659046 - 2.02833i) q^{58} +(-12.5189 + 5.57376i) q^{59} +(-0.00194770 + 0.00141509i) q^{60} -5.02369 q^{61} +1.17337 q^{63} +(-7.09134 + 5.15216i) q^{64} +(-0.0419535 + 0.0186789i) q^{65} +(1.99695 - 6.14599i) q^{66} +(7.26276 + 12.5795i) q^{67} +(0.841487 - 1.45750i) q^{68} +(-0.399522 - 0.443715i) q^{69} +(0.00235294 + 0.00724161i) q^{70} +(-6.29869 + 6.99541i) q^{71} +(-4.02493 - 1.79201i) q^{72} +(-4.32653 + 0.919632i) q^{73} +(1.03043 + 9.80387i) q^{74} +(-0.645177 + 6.13845i) q^{75} +(0.978830 + 0.208057i) q^{76} +(2.55804 + 1.85852i) q^{77} +(8.29330 + 6.02544i) q^{78} +(10.2303 + 2.17452i) q^{79} +(0.00258080 - 0.0245547i) q^{80} +(0.250122 + 2.37976i) q^{81} +(-5.18641 + 1.10240i) q^{82} +(-1.83451 - 0.816776i) q^{83} +(-0.175943 + 0.195404i) q^{84} +(0.0141263 + 0.0434762i) q^{85} +(-0.617762 - 0.686094i) q^{86} +(-1.00024 + 1.73246i) q^{87} +(-5.93623 - 10.2819i) q^{88} +(-0.346834 + 1.06744i) q^{89} +(0.0129167 - 0.00575088i) q^{90} +(-4.05780 + 2.94816i) q^{91} -0.129602 q^{92} -5.66611 q^{94} +(-0.0219902 + 0.0159768i) q^{95} +(1.69734 - 0.755703i) q^{96} +(2.24819 - 6.91921i) q^{97} +(-4.19044 - 7.25806i) q^{98} +(2.93570 - 5.08477i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 16 q^{2} - 16 q^{4} + 64 q^{5} - 16 q^{7} + 8 q^{10} - 8 q^{14} + 16 q^{16} - 24 q^{18} - 32 q^{19} - 24 q^{20} - 8 q^{28} - 64 q^{32} + 64 q^{33} + 32 q^{35} + 160 q^{36} - 24 q^{38} + 64 q^{39}+ \cdots - 64 q^{98}+O(q^{100}) \) 128 * q + 16 * q^2 - 16 * q^4 + 64 * q^5 - 16 * q^7 + 8 * q^10 - 8 * q^14 + 16 * q^16 - 24 * q^18 - 32 * q^19 - 24 * q^20 - 8 * q^28 - 64 * q^32 + 64 * q^33 + 32 * q^35 + 160 * q^36 - 24 * q^38 + 64 * q^39 - 32 * q^41 - 16 * q^45 + 64 * q^47 - 16 * q^49 - 32 * q^50 - 32 * q^51 + 192 * q^56 - 64 * q^59 - 128 * q^63 + 32 * q^64 - 64 * q^67 - 32 * q^69 - 176 * q^70 - 48 * q^71 + 48 * q^72 + 40 * q^76 - 64 * q^78 - 40 * q^80 - 16 * q^81 + 88 * q^82 + 128 * q^87 + 40 * q^90 - 256 * q^94 + 96 * q^95 - 64 * q^98

Introduction

L-functions

Modular forms

Varieties

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Representations

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Database

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