LMFDB - Embedded newform 840.2.dc.e.557.92

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [840,2,Mod(53,840)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(840, base_ring=CyclotomicField(12)) chi = DirichletCharacter(H, H._module([0, 6, 6, 9, 8])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("840.53"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 840 = 2^{3} \cdot 3 \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	840.dc (of order $12$, degree $4$, minimal)

Newform invariants

comment:select newform

sage:traces = [704,0,0,0,0] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(5)] == traces)

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

Self dual:	no
Analytic conductor:	$6.70743376979$
Analytic rank:	$0$
Dimension:	$704$
Relative dimension:	$176$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			557.92
Character	$\chi$	$=$	840.557
Dual form			840.2.dc.e.653.92

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.120630 + 1.40906i) q^{2} +(1.32239 + 1.11861i) q^{3} +(-1.97090 + 0.339951i) q^{4} +(-1.04518 - 1.97676i) q^{5} +(-1.41667 + 1.99826i) q^{6} +(-2.61678 - 0.390444i) q^{7} +(-0.716761 - 2.73610i) q^{8} +(0.497409 + 2.95848i) q^{9} +(2.65929 - 1.71118i) q^{10} +(1.80988 - 3.13480i) q^{11} +(-2.98656 - 1.75512i) q^{12} +(-3.53835 - 3.53835i) q^{13} +(0.234495 - 3.73430i) q^{14} +(0.829095 - 3.78320i) q^{15} +(3.76887 - 1.34002i) q^{16} +(0.121708 + 0.454220i) q^{17} +(-4.10867 + 1.05776i) q^{18} +(-1.11463 - 1.93060i) q^{19} +(2.73195 + 3.54068i) q^{20} +(-3.02364 - 3.44349i) q^{21} +(4.63544 + 2.17207i) q^{22} +(1.59645 - 5.95804i) q^{23} +(2.11280 - 4.41996i) q^{24} +(-2.81518 + 4.13216i) q^{25} +(4.55891 - 5.41257i) q^{26} +(-2.65162 + 4.46866i) q^{27} +(5.29014 - 0.120054i) q^{28} -5.01369i q^{29} +(5.43077 + 0.711875i) q^{30} +(-3.14658 + 5.45004i) q^{31} +(2.34280 + 5.14891i) q^{32} +(5.89998 - 2.12086i) q^{33} +(-0.625341 + 0.226286i) q^{34} +(1.96321 + 5.58084i) q^{35} +(-1.98608 - 5.66176i) q^{36} +(7.60153 + 2.03682i) q^{37} +(2.58587 - 1.80347i) q^{38} +(-0.721018 - 8.63710i) q^{39} +(-4.65948 + 4.27660i) q^{40} -3.45830i q^{41} +(4.48733 - 4.67588i) q^{42} +(-8.67614 - 8.67614i) q^{43} +(-2.50140 + 6.79363i) q^{44} +(5.32832 - 4.07541i) q^{45} +(8.58781 + 1.53077i) q^{46} +(-3.81577 - 1.02243i) q^{47} +(6.48286 + 2.44389i) q^{48} +(6.69511 + 2.04341i) q^{49} +(-6.16206 - 3.46829i) q^{50} +(-0.347151 + 0.736797i) q^{51} +(8.17658 + 5.77085i) q^{52} +(-0.482783 - 1.80177i) q^{53} +(-6.61647 - 3.19724i) q^{54} +(-8.08840 - 0.301252i) q^{55} +(0.807315 + 7.43964i) q^{56} +(0.685619 - 3.79983i) q^{57} +(7.06459 - 0.604804i) q^{58} +(9.17243 + 5.29571i) q^{59} +(-0.347958 + 7.73815i) q^{60} +(-6.15442 + 3.55326i) q^{61} +(-8.05900 - 3.77628i) q^{62} +(-0.146493 - 7.93590i) q^{63} +(-6.97251 + 3.92226i) q^{64} +(-3.29624 + 10.6927i) q^{65} +(3.70013 + 8.05758i) q^{66} +(-3.64664 - 13.6095i) q^{67} +(-0.394286 - 0.853845i) q^{68} +(8.77587 - 6.09302i) q^{69} +(-7.62692 + 3.43950i) q^{70} +1.40104i q^{71} +(7.73817 - 3.48148i) q^{72} +(-2.06728 - 7.71519i) q^{73} +(-1.95303 + 10.9567i) q^{74} +(-8.34504 + 2.31522i) q^{75} +(2.85313 + 3.42609i) q^{76} +(-5.96001 + 7.49643i) q^{77} +(12.0832 - 2.05786i) q^{78} +(-13.2759 + 7.66486i) q^{79} +(-6.58806 - 6.04959i) q^{80} +(-8.50517 + 2.94315i) q^{81} +(4.87295 - 0.417176i) q^{82} +(-2.69687 + 2.69687i) q^{83} +(7.12990 + 5.75886i) q^{84} +(0.770677 - 0.715331i) q^{85} +(11.1786 - 13.2718i) q^{86} +(5.60839 - 6.63004i) q^{87} +(-9.87437 - 2.70510i) q^{88} +(3.58068 + 6.20191i) q^{89} +(6.38526 + 7.01630i) q^{90} +(7.87756 + 10.6406i) q^{91} +(-1.12100 + 12.2854i) q^{92} +(-10.2575 + 3.68725i) q^{93} +(0.980370 - 5.49998i) q^{94} +(-2.65134 + 4.22119i) q^{95} +(-2.66155 + 9.42954i) q^{96} +(4.12334 + 4.12334i) q^{97} +(-2.07166 + 9.68030i) q^{98} +(10.1745 + 3.79520i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 704 q - 16 q^{6} - 24 q^{7} + 12 q^{10} + 10 q^{12} + 32 q^{15} - 72 q^{16} + 6 q^{18} + 64 q^{22} - 8 q^{25} + 24 q^{28} + 8 q^{30} - 16 q^{31} + 44 q^{33} - 240 q^{36} + 16 q^{40} - 78 q^{42} - 8 q^{46}+ \cdots - 80 q^{97}+O(q^{100}) $ 704 * q - 16 * q^6 - 24 * q^7 + 12 * q^10 + 10 * q^12 + 32 * q^15 - 72 * q^16 + 6 * q^18 + 64 * q^22 - 8 * q^25 + 24 * q^28 + 8 * q^30 - 16 * q^31 + 44 * q^33 - 240 * q^36 + 16 * q^40 - 78 * q^42 - 8 * q^46 - 20 * q^48 - 60 * q^52 + 272 * q^55 + 8 * q^57 - 20 * q^58 - 14 * q^60 + 12 * q^63 - 84 * q^66 + 112 * q^70 - 38 * q^72 + 104 * q^73 - 64 * q^76 - 16 * q^78 - 168 * q^81 - 72 * q^82 - 64 * q^87 + 52 * q^88 - 44 * q^90 + 40 * q^96 - 80 * q^97

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/840\mathbb{Z}\right)^\times$.

$n$	$241$	$281$	$337$	$421$	$631$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$-1$	$e\left(\frac{1}{4}\right)$	$-1$	$1$

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 $

$2$	0.120630	+	1.40906i	0.0852986	+	0.996355i
$2$	0.120630	+	1.40906i	0.0852986	+	0.996355i
$3$	1.32239	+	1.11861i	0.763480	+	0.645832i
$3$	1.32239	+	1.11861i	0.763480	+	0.645832i
$4$	−1.97090	+	0.339951i	−0.985448	+	0.169975i
$5$	−1.04518	−	1.97676i	−0.467421	−	0.884035i
$5$	−1.04518	−	1.97676i	−0.467421	−	0.884035i
$6$	−1.41667	+	1.99826i	−0.578354	+	0.815786i
$7$	−2.61678	−	0.390444i	−0.989051	−	0.147574i
$7$	−2.61678	−	0.390444i	−0.989051	−	0.147574i
$8$	−0.716761	−	2.73610i	−0.253413	−	0.967358i
$9$	0.497409	+	2.95848i	0.165803	+	0.986159i
$10$	2.65929	−	1.71118i	0.840943	−	0.541124i
$11$	1.80988	−	3.13480i	0.545698	−	0.945176i	−0.452865	−	0.891579i	$-0.649598\pi$
$11$	1.80988	−	3.13480i	0.545698	−	0.945176i	0.998563	−	0.0535972i	$-0.0170687\pi$
$12$	−2.98656	−	1.75512i	−0.862145	−	0.506661i
$13$	−3.53835	−	3.53835i	−0.981361	−	0.981361i	0.0184688	−	0.999829i	$-0.494121\pi$
$13$	−3.53835	−	3.53835i	−0.981361	−	0.981361i	−0.999829	+	0.0184688i	$0.994121\pi$
$14$	0.234495	−	3.73430i	0.0626713	−	0.998034i
$15$	0.829095	−	3.78320i	0.214071	−	0.976818i
$16$	3.76887	−	1.34002i	0.942217	−	0.335004i
$17$	0.121708	+	0.454220i	0.0295185	+	0.110164i	0.979113	−	0.203316i	$-0.0651718\pi$
$17$	0.121708	+	0.454220i	0.0295185	+	0.110164i	−0.949595	+	0.313480i	$0.898505\pi$
$18$	−4.10867	+	1.05776i	−0.968422	+	0.249317i
$19$	−1.11463	−	1.93060i	−0.255714	−	0.442909i	0.709375	−	0.704831i	$-0.248977\pi$
$19$	−1.11463	−	1.93060i	−0.255714	−	0.442909i	−0.965089	+	0.261922i	$0.915644\pi$
$20$	2.73195	+	3.54068i	0.610883	+	0.791721i
$21$	−3.02364	−	3.44349i	−0.659813	−	0.751430i
$22$	4.63544	+	2.17207i	0.988279	+	0.463087i
$23$	1.59645	−	5.95804i	0.332883	−	1.24234i	−0.573263	−	0.819372i	$-0.694323\pi$
$23$	1.59645	−	5.95804i	0.332883	−	1.24234i	0.906146	−	0.422965i	$-0.139011\pi$
$24$	2.11280	−	4.41996i	0.431274	−	0.902221i
$25$	−2.81518	+	4.13216i	−0.563036	+	0.826433i
$26$	4.55891	−	5.41257i	0.894075	−	1.06149i
$27$	−2.65162	+	4.46866i	−0.510305	+	0.859993i
$28$	5.29014	−	0.120054i	0.999743	−	0.0226880i
$29$		−	5.01369i		−	0.931020i	−0.885043	−	0.465510i	$-0.845871\pi$
$29$		−	5.01369i		−	0.931020i	0.885043	−	0.465510i	$-0.154129\pi$
$30$	5.43077	+	0.711875i	0.991518	+	0.129970i
$31$	−3.14658	+	5.45004i	−0.565142	+	0.978855i	0.431894	+	0.901924i	$0.357845\pi$
$31$	−3.14658	+	5.45004i	−0.565142	+	0.978855i	−0.997036	+	0.0769310i	$0.975488\pi$
$32$	2.34280	+	5.14891i	0.414153	+	0.910207i
$33$	5.89998	−	2.12086i	1.02705	−	0.369194i
$34$	−0.625341	+	0.226286i	−0.107245	+	0.0388078i
$35$	1.96321	+	5.58084i	0.331843	+	0.943335i
$36$	−1.98608	−	5.66176i	−0.331013	−	0.943626i
$37$	7.60153	+	2.03682i	1.24968	+	0.334852i	0.822214	−	0.569178i	$-0.192739\pi$
$37$	7.60153	+	2.03682i	1.24968	+	0.334852i	0.427469	+	0.904030i	$0.359405\pi$
$38$	2.58587	−	1.80347i	0.419483	−	0.292561i
$39$	−0.721018	−	8.63710i	−0.115455	−	1.38304i
$40$	−4.65948	+	4.27660i	−0.736728	+	0.676190i
$41$		−	3.45830i		−	0.540096i	−0.962847	−	0.270048i	$-0.912960\pi$
$41$		−	3.45830i		−	0.540096i	0.962847	−	0.270048i	$-0.0870395\pi$
$42$	4.48733	−	4.67588i	0.692410	−	0.721504i
$43$	−8.67614	−	8.67614i	−1.32310	−	1.32310i	−0.911254	−	0.411844i	$-0.864885\pi$
$43$	−8.67614	−	8.67614i	−1.32310	−	1.32310i	−0.411844	−	0.911254i	$-0.635115\pi$
$44$	−2.50140	+	6.79363i	−0.377100	+	1.02418i
$45$	5.32832	−	4.07541i	0.794299	−	0.607527i
$46$	8.58781	+	1.53077i	1.26620	+	0.225700i
$47$	−3.81577	−	1.02243i	−0.556587	−	0.149137i	−0.0304492	−	0.999536i	$-0.509694\pi$
$47$	−3.81577	−	1.02243i	−0.556587	−	0.149137i	−0.526138	+	0.850399i	$0.676360\pi$
$48$	6.48286	+	2.44389i	0.935720	+	0.352744i
$49$	6.69511	+	2.04341i	0.956444	+	0.291916i
$50$	−6.16206	−	3.46829i	−0.871447	−	0.490490i
$51$	−0.347151	+	0.736797i	−0.0486109	+	0.103172i
$52$	8.17658	+	5.77085i	1.13389	+	0.800273i
$53$	−0.482783	−	1.80177i	−0.0663154	−	0.247492i	0.924809	−	0.380433i	$-0.124225\pi$
$53$	−0.482783	−	1.80177i	−0.0663154	−	0.247492i	−0.991124	+	0.132940i	$0.957558\pi$
$54$	−6.61647	−	3.19724i	−0.900387	−	0.435089i
$55$	−8.08840	−	0.301252i	−1.09064	−	0.0406209i
$56$	0.807315	+	7.43964i	0.107882	+	0.994164i
$57$	0.685619	−	3.79983i	0.0908125	−	0.503300i
$58$	7.06459	−	0.604804i	0.927627	−	0.0794147i
$59$	9.17243	+	5.29571i	1.19415	+	0.689442i	0.959245	−	0.282576i	$-0.0911890\pi$
$59$	9.17243	+	5.29571i	1.19415	+	0.689442i	0.234904	+	0.972019i	$0.424522\pi$
$60$	−0.347958	+	7.73815i	−0.0449212	+	0.998991i
$61$	−6.15442	+	3.55326i	−0.787993	+	0.454948i	−0.839255	−	0.543737i	$-0.817009\pi$
$61$	−6.15442	+	3.55326i	−0.787993	+	0.454948i	0.0512626	+	0.998685i	$0.483675\pi$
$62$	−8.05900	−	3.77628i	−1.02349	−	0.479588i
$63$	−0.146493	−	7.93590i	−0.0184564	−	0.999830i
$64$	−6.97251	+	3.92226i	−0.871563	+	0.490283i
$65$	−3.29624	+	10.6927i	−0.408849	+	1.32627i
$66$	3.70013	+	8.05758i	0.455455	+	0.991819i
$67$	−3.64664	−	13.6095i	−0.445508	−	1.66266i	−0.714591	−	0.699543i	$-0.753387\pi$
$67$	−3.64664	−	13.6095i	−0.445508	−	1.66266i	0.269082	−	0.963117i	$-0.413280\pi$
$68$	−0.394286	−	0.853845i	−0.0478142	−	0.103544i
$69$	8.77587	−	6.09302i	1.05649	−	0.733513i
$70$	−7.62692	+	3.43950i	−0.911591	+	0.411098i
$71$			1.40104i			0.166272i	0.996538	+	0.0831362i	$0.0264937\pi$
$71$			1.40104i			0.166272i	−0.996538	+	0.0831362i	$0.973506\pi$
$72$	7.73817	−	3.48148i	0.911952	−	0.410297i
$73$	−2.06728	−	7.71519i	−0.241957	−	0.902995i	−0.974889	−	0.222693i	$-0.928515\pi$
$73$	−2.06728	−	7.71519i	−0.241957	−	0.902995i	0.732932	−	0.680302i	$-0.238151\pi$
$74$	−1.95303	+	10.9567i	−0.227035	+	1.27369i
$75$	−8.34504	+	2.31522i	−0.963603	+	0.267338i
$76$	2.85313	+	3.42609i	0.327276	+	0.392999i
$77$	−5.96001	+	7.49643i	−0.679206	+	0.854297i
$78$	12.0832	−	2.05786i	1.36815	−	0.233006i
$79$	−13.2759	+	7.66486i	−1.49366	+	0.862364i	−0.999974	−	0.00727636i	$-0.997684\pi$
$79$	−13.2759	+	7.66486i	−1.49366	+	0.862364i	−0.493685	+	0.869641i	$0.664351\pi$
$80$	−6.58806	−	6.04959i	−0.736567	−	0.676365i
$81$	−8.50517	+	2.94315i	−0.945019	+	0.327016i
$82$	4.87295	−	0.417176i	0.538127	−	0.0460694i
$83$	−2.69687	+	2.69687i	−0.296020	+	0.296020i	−0.839453	−	0.543433i	$-0.817124\pi$
$83$	−2.69687	+	2.69687i	−0.296020	+	0.296020i	0.543433	+	0.839453i	$0.317124\pi$
$84$	7.12990	+	5.75886i	0.777936	+	0.628344i
$85$	0.770677	−	0.715331i	0.0835917	−	0.0775885i
$86$	11.1786	−	13.2718i	1.20542	−	1.43113i
$87$	5.60839	−	6.63004i	0.601282	−	0.710815i
$88$	−9.87437	−	2.70510i	−1.05261	−	0.288365i
$89$	3.58068	+	6.20191i	0.379551	+	0.657401i	0.990997	−	0.133885i	$-0.0427452\pi$
$89$	3.58068	+	6.20191i	0.379551	+	0.657401i	−0.611446	+	0.791286i	$0.709412\pi$
$90$	6.38526	+	7.01630i	0.673065	+	0.739583i
$91$	7.87756	+	10.6406i	0.825793	+	1.11544i
$92$	−1.12100	+	12.2854i	−0.116872	+	1.28084i
$93$	−10.2575	+	3.68725i	−1.06365	+	0.382350i
$94$	0.980370	−	5.49998i	0.101117	−	0.567280i
$95$	−2.65134	+	4.22119i	−0.272021	+	0.433085i
$96$	−2.66155	+	9.42954i	−0.271643	+	0.962398i
$97$	4.12334	+	4.12334i	0.418662	+	0.418662i	0.884742	−	0.466080i	$-0.154334\pi$
$97$	4.12334	+	4.12334i	0.418662	+	0.418662i	−0.466080	+	0.884742i	$0.654334\pi$
$98$	−2.07166	+	9.68030i	−0.209269	+	0.977858i
$99$	10.1745	+	3.79520i	1.02257	+	0.381432i
$100$	4.14369	−	9.10109i	0.414369	−	0.910109i
$101$	−4.16986	+	7.22242i	−0.414917	+	0.718657i	−0.995420	−	0.0956010i	$-0.969523\pi$
$101$	−4.16986	+	7.22242i	−0.414917	+	0.718657i	0.580503	+	0.814258i	$0.302856\pi$
$102$	−1.08007	−	0.400277i	−0.106943	−	0.0396333i
$103$	9.12771	+	2.44576i	0.899380	+	0.240988i	0.678750	−	0.734369i	$-0.262522\pi$
$103$	9.12771	+	2.44576i	0.899380	+	0.240988i	0.220630	+	0.975358i	$0.429189\pi$
$104$	−7.14513	+	12.2174i	−0.700637	+	1.19802i
$105$	−3.64669	+	9.57610i	−0.355880	+	0.934532i
$106$	2.48057	−	0.897619i	0.240934	−	0.0871845i
$107$	0.127594	−	0.476188i	0.0123350	−	0.0460348i	−0.959484	−	0.281763i	$-0.909081\pi$
$107$	0.127594	−	0.476188i	0.0123350	−	0.0460348i	0.971819	+	0.235728i	$0.0757475\pi$
$108$	3.70695	−	9.70868i	0.356702	−	0.934218i
$109$	8.86257	−	15.3504i	0.848880	−	1.47030i	−0.0333278	−	0.999444i	$-0.510611\pi$
$109$	8.86257	−	15.3504i	0.848880	−	1.47030i	0.882208	−	0.470860i	$-0.156056\pi$
$110$	−0.551225	−	11.4334i	−0.0525572	−	1.09013i
$111$	7.77374	+	11.1966i	0.737850	+	1.06274i
$112$	−10.3855	+	2.03500i	−0.981338	+	0.192290i
$113$	−0.307737	−	0.307737i	−0.0289494	−	0.0289494i	0.692484	−	0.721433i	$-0.256516\pi$
$113$	−0.307737	−	0.307737i	−0.0289494	−	0.0289494i	−0.721433	+	0.692484i	$0.756516\pi$
$114$	5.43690	+	0.507702i	0.509212	+	0.0475507i
$115$	−13.4462	+	3.07145i	−1.25387	+	0.286414i
$116$	1.70441	+	9.88147i	0.158251	+	0.917472i
$117$	8.70811	−	12.2281i	0.805065	−	1.13049i
$118$	−6.35549	+	13.5633i	−0.585070	+	1.24861i
$119$	−0.141136	−	1.23611i	−0.0129379	−	0.113314i
$120$	−10.9455	+	0.443163i	−0.999181	+	0.0404551i
$121$	−1.05130	−	1.82090i	−0.0955723	−	0.165536i
$122$	−5.74916	−	8.24331i	−0.520505	−	0.746315i
$123$	3.86850	−	4.57321i	0.348811	−	0.412352i
$124$	4.34884	−	11.8111i	0.390537	−	1.06067i
$125$	11.1107	+	1.24606i	0.993770	+	0.111451i
$126$	11.1645	−	1.16373i	0.994611	−	0.103673i
$127$	−6.14976	−	6.14976i	−0.545703	−	0.545703i	0.379492	−	0.925195i	$-0.376099\pi$
$127$	−6.14976	−	6.14976i	−0.545703	−	0.545703i	−0.925195	+	0.379492i	$0.876099\pi$
$128$	−6.36780	−	9.35153i	−0.562839	−	0.826566i
$129$	−1.76796	−	21.1784i	−0.155660	−	1.86466i
$130$	−15.4643	−	3.35474i	−1.35631	−	0.294230i
$131$	−1.51545	−	2.62483i	−0.132405	−	0.229333i	0.792198	−	0.610264i	$-0.208937\pi$
$131$	−1.51545	−	2.62483i	−0.132405	−	0.229333i	−0.924603	+	0.380931i	$0.875603\pi$
$132$	−10.9073	+	6.18570i	−0.949355	+	0.538396i
$133$	2.16296	+	5.48715i	0.187552	+	0.475797i
$134$	18.7366	−	6.78005i	1.61860	−	0.585707i
$135$	11.6049	+	0.571060i	0.998791	+	0.0491490i
$136$	1.15556	−	0.658572i	0.0990881	−	0.0564721i
$137$	−3.49961	−	13.0607i	−0.298992	−	1.11585i	−0.937995	−	0.346649i	$-0.887319\pi$
$137$	−3.49961	−	13.0607i	−0.298992	−	1.11585i	0.639003	−	0.769204i	$-0.279347\pi$
$138$	9.64406	+	11.6307i	0.820957	+	0.990072i
$139$	−11.0070			−0.933598			−0.466799	−	0.884363i	$-0.654593\pi$
$139$	−11.0070			−0.933598			−0.466799	+	0.884363i	$0.654593\pi$
$140$	−5.76649	−	10.3319i	−0.487357	−	0.873203i
$141$	−3.90221	−	5.62042i	−0.328626	−	0.473325i
$142$	−1.97414	+	0.169008i	−0.165666	+	0.0141828i
$143$	−17.4960	+	4.68803i	−1.46309	+	0.392033i
$144$	5.83908	+	10.4836i	0.486590	+	0.873631i
$145$	−9.91088	+	5.24024i	−0.823054	+	0.435178i
$146$	10.6218	−	3.84361i	0.879065	−	0.318099i
$147$	6.56773	+	10.1914i	0.541697	+	0.840574i
$148$	−15.6742	−	1.43022i	−1.28842	−	0.117563i
$149$	16.5508	−	9.55563i	1.35590	−	0.782828i	0.366830	−	0.930288i	$-0.380443\pi$
$149$	16.5508	−	9.55563i	1.35590	−	0.782828i	0.989068	+	0.147460i	$0.0471098\pi$
$150$	−4.26895	−	11.4794i	−0.348558	−	0.937287i
$151$	−3.15829	+	5.47031i	−0.257018	+	0.445168i	−0.965442	−	0.260619i	$-0.916073\pi$
$151$	−3.15829	+	5.47031i	−0.257018	+	0.445168i	0.708424	+	0.705787i	$0.249407\pi$
$152$	−4.48339	+	4.43352i	−0.363651	+	0.359606i
$153$	−1.28326	+	0.586002i	−0.103745	+	0.0473755i
$154$	−11.2819	−	7.49371i	−0.909119	−	0.603861i
$155$	14.0622	+	0.523746i	1.12950	+	0.0420683i
$156$	4.35724	+	16.7777i	0.348859	+	1.34329i
$157$	−0.488715	−	1.82391i	−0.0390037	−	0.145564i	0.943678	−	0.330865i	$-0.107341\pi$
$157$	−0.488715	−	1.82391i	−0.0390037	−	0.145564i	−0.982682	+	0.185301i	$0.940674\pi$
$158$	−12.4017	−	17.7820i	−0.986628	−	1.41466i
$159$	1.37706	−	2.92269i	0.109208	−	0.231784i
$160$	7.72951	−	10.0127i	0.611071	−	0.791575i
$161$	−6.50385	+	14.9676i	−0.512575	+	1.17961i
$162$	−5.17305	−	11.6293i	−0.406433	−	0.913681i
$163$	−0.662756	+	2.47344i	−0.0519110	+	0.193735i	−0.987012	−	0.160647i	$-0.948642\pi$
$163$	−0.662756	+	2.47344i	−0.0519110	+	0.193735i	0.935101	+	0.354382i	$0.115309\pi$
$164$	1.17565	+	6.81595i	0.0918030	+	0.532236i
$165$	−10.3590	−	9.44616i	−0.806447	−	0.735383i
$166$	−4.12537	−	3.47472i	−0.320191	−	0.269691i
$167$	−1.70262	+	1.70262i	−0.131753	+	0.131753i	−0.769908	−	0.638155i	$-0.779698\pi$
$167$	−1.70262	+	1.70262i	−0.131753	+	0.131753i	0.638155	+	0.769908i	$0.279698\pi$
$168$	−7.25450	+	10.7411i	−0.559697	+	0.828698i
$169$			12.0398i			0.926137i
$170$	1.10091	+	0.999639i	0.0844360	+	0.0766688i
$171$	5.15720	−	4.25790i	0.394381	−	0.325610i
$172$	20.0492	+	14.1503i	1.52874	+	1.07895i
$173$	18.3195	+	4.90870i	1.39281	+	0.373202i	0.875756	−	0.482753i	$-0.160363\pi$
$173$	18.3195	+	4.90870i	1.39281	+	0.373202i	0.517051	+	0.855955i	$0.327030\pi$
$174$	10.0187	+	7.10276i	0.759513	+	0.538459i
$175$	8.98009	−	9.71381i	0.678831	−	0.734295i
$176$	2.62050	−	14.2399i	0.197528	−	1.07337i
$177$	6.20565	+	17.2634i	0.466445	+	1.29759i
$178$	−8.30692	+	5.79352i	−0.622630	+	0.434243i
$179$	8.26123	+	4.76962i	0.617473	+	0.356498i	0.775885	−	0.630875i	$-0.217304\pi$
$179$	8.26123	+	4.76962i	0.617473	+	0.356498i	−0.158411	+	0.987373i	$0.550637\pi$
$180$	−9.11613	+	9.84359i	−0.679476	+	0.733698i
$181$		−	14.7638i		−	1.09739i	−0.836024	−	0.548693i	$-0.815125\pi$
$181$		−	14.7638i		−	1.09739i	0.836024	−	0.548693i	$-0.184875\pi$
$182$	−14.0430	+	12.3835i	−1.04093	+	0.917928i
$183$	−12.1132	−	2.18564i	−0.895436	−	0.161567i
$184$	−17.4461	−	0.0975633i	−1.28614	−	0.00719246i
$185$	−3.91869	−	17.1553i	−0.288107	−	1.26128i
$186$	−6.43291	−	14.0086i	−0.471684	−	1.02716i
$187$	1.64416	+	0.440552i	0.120233	+	0.0322163i
$188$	7.86806	+	0.717934i	0.573838	+	0.0523607i
$189$	8.68348	−	10.6582i	0.631631	−	0.775270i
$190$	−6.26774	−	3.22669i	−0.454710	−	0.234088i
$191$	−7.08955	+	4.09316i	−0.512982	+	0.296170i	−0.734059	−	0.679086i	$-0.762376\pi$
$191$	−7.08955	+	4.09316i	−0.512982	+	0.296170i	0.221077	+	0.975256i	$0.429043\pi$
$192$	−13.6078	−	2.61279i	−0.982061	−	0.188562i
$193$	3.68955e−5	0	0.000137696i	2.65580e−6	0	9.91158e-6i	0.965927	−	0.258814i	$-0.0833317\pi$
$193$	3.68955e−5	0	0.000137696i	2.65580e−6	0	9.91158e-6i	−0.965924	+	0.258824i	$0.916665\pi$
$194$	−5.31263	+	6.30743i	−0.381425	+	0.452847i
$195$	−16.3199	+	10.4526i	−1.16869	+	0.748530i
$196$	−13.8900	−	1.75135i	−0.992145	−	0.125096i
$197$	−3.78639	−	3.78639i	−0.269769	−	0.269769i	0.559238	−	0.829007i	$-0.311094\pi$
$197$	−3.78639	−	3.78639i	−0.269769	−	0.269769i	−0.829007	+	0.559238i	$0.811094\pi$
$198$	−4.12031	+	14.7942i	−0.292818	+	1.05138i
$199$	−1.24696	−	0.719935i	−0.0883949	−	0.0510348i	0.455151	−	0.890414i	$-0.349585\pi$
$199$	−1.24696	−	0.719935i	−0.0883949	−	0.0510348i	−0.543546	+	0.839379i	$0.682919\pi$
$200$	13.3238	+	4.74084i	0.942137	+	0.335228i
$201$	10.4014	−	22.0761i	0.733662	−	1.55713i
$202$	−10.6798	−	5.00434i	−0.751430	−	0.352104i
$203$	−1.95757	+	13.1198i	−0.137394	+	0.920826i
$204$	0.433724	−	1.57017i	0.0303668	−	0.109934i
$205$	−6.83624	+	3.61456i	−0.477464	+	0.252452i
$206$	−2.34514	+	13.1565i	−0.163394	+	0.916658i
$207$	18.4208	+	1.75948i	1.28033	+	0.122293i
$208$	−18.0770	−	8.59411i	−1.25341	−	0.595895i
$209$	−8.06937			−0.558170
$210$	−13.9332	−	3.98323i	−0.961482	−	0.274869i
$211$			7.47348i			0.514496i	0.966345	+	0.257248i	$0.0828157\pi$
$211$			7.47348i			0.514496i	−0.966345	+	0.257248i	$0.917184\pi$
$212$	1.56403	+	3.38698i	0.107418	+	0.232619i
$213$	−1.56722	+	1.85271i	−0.107384	+	0.126946i
$214$	0.686369	+	0.122345i	0.0469192	+	0.00836333i
$215$	−8.08250	+	26.2188i	−0.551222	+	1.78811i
$216$	14.1273	+	4.05215i	0.961240	+	0.275714i
$217$	10.3618	−	13.0330i	0.703408	−	0.884738i
$218$	22.6988	+	10.6362i	1.53735	+	0.720372i
$219$	5.89657	−	12.5149i	0.398454	−	0.845682i
$220$	16.0438	−	2.15592i	1.08167	−	0.145352i
$221$	1.17654	−	2.03783i	0.0791428	−	0.137079i
$222$	−14.8390	+	12.3043i	−0.995927	+	0.825811i
$223$	−1.16189	+	1.16189i	−0.0778058	+	0.0778058i	−0.744939	−	0.667133i	$-0.767521\pi$
$223$	−1.16189	+	1.16189i	−0.0778058	+	0.0778058i	0.667133	+	0.744939i	$0.267521\pi$
$224$	−4.12025	−	14.3883i	−0.275296	−	0.961360i
$225$	−13.6252	−	6.27326i	−0.908347	−	0.418218i
$226$	0.396497	−	0.470742i	0.0263746	−	0.0313133i
$227$	−23.2080	+	6.21857i	−1.54037	+	0.412741i	−0.926385	−	0.376577i	$-0.877101\pi$
$227$	−23.2080	+	6.21857i	−1.54037	+	0.412741i	−0.613985	+	0.789318i	$0.710434\pi$
$228$	−0.0595273	+	7.72216i	−0.00394229	+	0.511412i
$229$	10.2919	+	17.8262i	0.680111	+	1.17799i	0.974947	+	0.222438i	$0.0714016\pi$
$229$	10.2919	+	17.8262i	0.680111	+	1.17799i	−0.294836	+	0.955548i	$0.595265\pi$
$230$	−5.94987	−	18.5760i	−0.392323	−	1.22487i
$231$	−16.2670	+	3.24622i	−1.07029	+	0.213586i
$232$	−13.7180	+	3.59362i	−0.900630	+	0.235933i
$233$	3.66454	−	13.6763i	0.240072	−	0.895962i	−0.735724	−	0.677281i	$-0.763158\pi$
$233$	3.66454	−	13.6763i	0.240072	−	0.895962i	0.975796	−	0.218681i	$-0.0701753\pi$
$234$	18.2806	+	10.7952i	1.19504	+	0.705702i
$235$	1.96708	+	8.61150i	0.128318	+	0.561752i
$236$	−19.8782	−	7.31911i	−1.29396	−	0.476434i
$237$	−26.1299	−	4.71473i	−1.69732	−	0.306254i
$238$	1.72473	−	0.347982i	0.111798	−	0.0225563i
$239$	15.8251			1.02364			0.511820	−	0.859093i	$-0.328972\pi$
$239$	15.8251			1.02364			0.511820	+	0.859093i	$0.328972\pi$
$240$	−1.94480	−	15.3694i	−0.125536	−	0.992089i
$241$	9.15358	−	15.8545i	0.589634	−	1.02128i	−0.404647	−	0.914473i	$-0.632605\pi$
$241$	9.15358	−	15.8545i	0.589634	−	1.02128i	0.994280	−	0.106802i	$-0.0340612\pi$
$242$	2.43893	−	1.70099i	0.156781	−	0.109344i
$243$	−14.5394	−	5.62202i	−0.932700	−	0.360653i
$244$	10.9218	−	9.09530i	0.699196	−	0.582267i
$245$	−2.95828	−	15.3704i	−0.188998	−	0.981978i
$246$	6.91058	+	4.89928i	0.440603	+	0.312367i
$247$	−2.88717	+	10.7751i	−0.183706	+	0.685601i
$248$	17.1672	+	4.70299i	1.09012	+	0.298640i
$249$	−6.58305	+	0.549548i	−0.417184	+	0.0348262i
$250$	−0.415491	+	15.8059i	−0.0262780	+	0.999655i
$251$	9.77314			0.616875			0.308438	−	0.951245i	$-0.400194\pi$
$251$	9.77314			0.616875			0.308438	+	0.951245i	$0.400194\pi$
$252$	2.98654	+	15.5910i	0.188134	+	0.982143i
$253$	−15.7879	−	15.7879i	−0.992574	−	0.992574i
$254$	7.92352	−	9.40722i	0.497166	−	0.590261i
$255$	1.81931	−	0.0838537i	0.113930	−	0.00525112i
$256$	12.4087	−	10.1007i	0.775545	−	0.631293i
$257$	3.43996	+	0.921736i	0.214579	+	0.0574963i	0.364507	−	0.931201i	$-0.381238\pi$
$257$	3.43996	+	0.921736i	0.214579	+	0.0574963i	−0.149928	+	0.988697i	$0.547904\pi$
$258$	29.6284	−	5.04593i	1.84458	−	0.314146i
$259$	−19.0963	−	8.29789i	−1.18659	−	0.515606i
$260$	2.86156	−	22.1948i	0.177467	−	1.37646i
$261$	14.8329	−	2.49386i	0.918133	−	0.154366i
$262$	3.51574	−	2.45199i	0.217203	−	0.151484i
$263$	26.3548	−	7.06174i	1.62511	−	0.435446i	0.672610	−	0.739997i	$-0.265173\pi$
$263$	26.3548	−	7.06174i	1.62511	−	0.435446i	0.952496	+	0.304552i	$0.0985066\pi$
$264$	−10.0318	−	14.6228i	−0.617412	−	0.899970i
$265$	−3.05708	+	2.83753i	−0.187795	+	0.174308i
$266$	−7.47081	+	3.70965i	−0.458064	+	0.227453i
$267$	−2.20251	+	12.2067i	−0.134791	+	0.747039i
$268$	11.8137	+	25.5832i	0.721637	+	1.56274i
$269$	−16.8628	−	9.73576i	−1.02815	−	0.593600i	−0.111692	−	0.993743i	$-0.535627\pi$
$269$	−16.8628	−	9.73576i	−1.02815	−	0.593600i	−0.916453	+	0.400143i	$0.868960\pi$
$270$	0.595248	+	16.4209i	0.0362256	+	0.999344i
$271$	9.60297	+	16.6328i	0.583339	+	1.01037i	0.995080	+	0.0990721i	$0.0315875\pi$
$271$	9.60297	+	16.6328i	0.583339	+	1.01037i	−0.411741	+	0.911301i	$0.635079\pi$
$272$	1.06736	+	1.54880i	0.0647183	+	0.0939099i
$273$	−1.48555	+	22.8829i	−0.0899097	+	1.38494i
$274$	17.9812	−	6.50668i	1.08628	−	0.393083i
$275$	7.85837	+	16.3037i	0.473877	+	0.983150i
$276$	−15.2250	+	14.9921i	−0.916437	+	0.902416i
$277$	3.09960	+	11.5679i	0.186237	+	0.695045i	0.994362	+	0.106035i	$0.0338156\pi$
$277$	3.09960	+	11.5679i	0.186237	+	0.695045i	−0.808126	+	0.589010i	$0.799518\pi$
$278$	−1.32777	−	15.5095i	−0.0796346	−	0.930196i
$279$	−17.6889	−	6.59819i	−1.05901	−	0.395023i
$280$	13.8626	−	9.37167i	0.828449	−	0.560064i
$281$			4.95569i			0.295632i	0.989015	+	0.147816i	$0.0472243\pi$
$281$			4.95569i			0.295632i	−0.989015	+	0.147816i	$0.952776\pi$
$282$	7.44878	−	6.17644i	0.443568	−	0.367802i
$283$	−3.12466	+	0.837251i	−0.185742	+	0.0497694i	−0.350491	−	0.936566i	$-0.613985\pi$
$283$	−3.12466	+	0.837251i	−0.185742	+	0.0497694i	0.164749	+	0.986336i	$0.447319\pi$
$284$	−0.476284	−	2.76130i	−0.0282622	−	0.163853i
$285$	−8.22797	+	2.61622i	−0.487383	+	0.154972i
$286$	−8.71625	−	24.0873i	−0.515403	−	1.42431i
$287$	−1.35027	+	9.04962i	−0.0797040	+	0.534182i
$288$	−14.0676	+	9.49224i	−0.828941	+	0.559336i
$289$	14.5309	−	8.38944i	0.854761	−	0.493496i
$290$	−8.57936	−	13.3329i	−0.503797	−	0.782934i
$291$	0.840225	+	10.0651i	0.0492548	+	0.590025i
$292$	6.69718	+	14.5031i	0.391923	+	0.848728i
$293$	−8.73789	+	8.73789i	−0.510473	+	0.510473i	−0.914671	−	0.404198i	$-0.867551\pi$
$293$	−8.73789	+	8.73789i	−0.510473	+	0.510473i	0.404198	+	0.914671i	$0.367551\pi$
$294$	−13.5680	+	10.4837i	−0.791304	+	0.611423i
$295$	0.881467	−	23.6667i	0.0513210	−	1.37793i
$296$	0.124476	−	22.2585i	0.00723499	−	1.29375i
$297$	9.20921	+	16.4000i	0.534373	+	0.951625i
$298$	15.4610	+	22.1684i	0.895631	+	1.28418i
$299$	−26.7304	+	15.4328i	−1.54586	+	0.892502i
$300$	15.6602	−	7.39996i	0.904140	−	0.427237i
$301$	19.3160	+	26.0911i	1.11336	+	1.50387i
$302$	−8.08898	−	3.79033i	−0.465469	−	0.218109i
$303$	−13.5933	+	4.88636i	−0.780912	+	0.280714i
$304$	−6.78792	−	5.78254i	−0.389314	−	0.331651i
$305$	13.4565	+	8.45202i	0.770514	+	0.483961i
$306$	−0.980512	−	1.73750i	−0.0560522	−	0.0993262i
$307$	−3.26352	+	3.26352i	−0.186259	+	0.186259i	−0.794077	−	0.607818i	$-0.792045\pi$
$307$	−3.26352	+	3.26352i	−0.186259	+	0.186259i	0.607818	+	0.794077i	$0.292045\pi$
$308$	9.19815	−	16.8008i	0.524113	−	0.957314i
$309$	9.33449	+	13.4446i	0.531021	+	0.764838i
$310$	0.958338	+	19.8776i	0.0544300	+	1.12897i
$311$	−20.5422	−	11.8600i	−1.16484	−	0.672522i	−0.212382	−	0.977187i	$-0.568122\pi$
$311$	−20.5422	−	11.8600i	−1.16484	−	0.672522i	−0.952460	+	0.304665i	$0.901455\pi$
$312$	−23.1152	+	8.16352i	−1.30864	+	0.462168i
$313$	2.32499	+	0.622980i	0.131416	+	0.0352129i	0.323928	−	0.946082i	$-0.394997\pi$
$313$	2.32499	+	0.622980i	0.131416	+	0.0352129i	−0.192511	+	0.981295i	$0.561663\pi$
$314$	2.51104	−	0.908647i	0.141706	−	0.0512779i
$315$	−15.5343	+	8.58407i	−0.875257	+	0.483657i
$316$	23.5598	−	19.6198i	1.32534	−	1.10370i
$317$	0.856636	−	3.19701i	0.0481135	−	0.179562i	−0.937688	−	0.347480i	$-0.887038\pi$
$317$	0.856636	−	3.19701i	0.0481135	−	0.179562i	0.985801	+	0.167918i	$0.0537043\pi$
$318$	4.28435	+	1.58779i	0.240255	+	0.0890391i
$319$	−15.7169	−	9.07416i	−0.879978	−	0.508055i
$320$	15.0409	+	9.68350i	0.840814	+	0.541324i
$321$	0.701399	−	0.486976i	0.0391483	−	0.0271803i
$322$	−21.8748	−	7.35876i	−1.21903	−	0.410088i
$323$	0.741256	−	0.741256i	0.0412446	−	0.0412446i
$324$	15.7623	−	8.69198i	0.875682	−	0.482888i
$325$	24.5821	−	4.65995i	1.36357	−	0.258487i
$326$	−3.56517	−	0.635490i	−0.197456	−	0.0351965i
$327$	28.8909	−	10.3854i	1.59767	−	0.574314i
$328$	−9.46226	+	2.47878i	−0.522466	+	0.136867i
$329$	9.58584	+	4.16533i	0.528484	+	0.229642i
$330$	12.0606	−	15.7359i	0.663914	−	0.866235i
$331$	−13.9873	+	8.07560i	−0.768814	+	0.443875i	−0.832451	−	0.554098i	$-0.813063\pi$
$331$	−13.9873	+	8.07560i	−0.768814	+	0.443875i	0.0636375	+	0.997973i	$0.479730\pi$
$332$	4.39844	−	6.23205i	0.241396	−	0.342028i
$333$	−2.24483	+	23.5021i	−0.123016	+	1.28791i
$334$	−2.60448	−	2.19371i	−0.142511	−	0.120034i
$335$	−23.0912	+	21.4329i	−1.26161	+	1.17101i
$336$	−16.0100	−	8.92631i	−0.873419	−	0.486970i
$337$	−0.560049	−	0.560049i	−0.0305078	−	0.0305078i	0.691688	−	0.722196i	$-0.256867\pi$
$337$	−0.560049	−	0.560049i	−0.0305078	−	0.0305078i	−0.722196	+	0.691688i	$0.756867\pi$
$338$	−16.9648	+	1.45236i	−0.922762	+	0.0789982i
$339$	−0.0627084	−	0.751185i	−0.00340585	−	0.0407988i
$340$	−1.27575	+	1.67184i	−0.0691871	+	0.0906680i
$341$	11.3898	+	19.7278i	0.616794	+	1.06832i
$342$	6.62176	+	6.75316i	0.358064	+	0.365169i
$343$	−16.7218	−	7.96123i	−0.902893	−	0.429866i
$344$	−17.5201	+	29.9575i	−0.944619	+	1.61520i
$345$	−21.2168	−	10.9795i	−1.14228	−	0.591115i
$346$	−4.70676	+	26.4054i	−0.253037	+	1.41956i
$347$	0.900520	−	0.241294i	0.0483424	−	0.0129533i	−0.234567	−	0.972100i	$-0.575367\pi$
$347$	0.900520	−	0.241294i	0.0483424	−	0.0129533i	0.282909	+	0.959147i	$0.408700\pi$
$348$	−8.79966	+	14.9737i	−0.471711	+	0.802674i
$349$	−24.9120			−1.33351			−0.666754	−	0.745278i	$-0.732317\pi$
$349$	−24.9120			−1.33351			−0.666754	+	0.745278i	$0.732317\pi$
$350$	14.7706	+	11.4817i	0.789522	+	0.613722i
$351$	25.1940	−	6.42929i	1.34476	−	0.343170i
$352$	20.3810	+	1.97468i	1.08631	+	0.105251i
$353$	−1.07288	+	0.287477i	−0.0571036	+	0.0153009i	−0.287258	−	0.957853i	$-0.592744\pi$
$353$	−1.07288	+	0.287477i	−0.0571036	+	0.0153009i	0.230154	+	0.973154i	$0.426077\pi$
$354$	−23.5765	+	10.8266i	−1.25308	+	0.575428i
$355$	2.76952	−	1.46434i	0.146991	−	0.0777192i
$356$	−9.16549	−	11.0061i	−0.485770	−	0.583321i
$357$	1.19610	−	1.79250i	0.0633042	−	0.0948690i
$358$	−5.72413	+	12.2159i	−0.302530	+	0.645632i
$359$	−7.84472	−	13.5874i	−0.414028	−	0.717118i	0.581298	−	0.813691i	$-0.302545\pi$
$359$	−7.84472	−	13.5874i	−0.414028	−	0.717118i	−0.995326	+	0.0965730i	$0.969212\pi$
$360$	−14.9699	−	11.6577i	−0.788982	−	0.614416i
$361$	7.01520	−	12.1507i	0.369221	−	0.639509i
$362$	20.8031	−	1.78097i	1.09339	−	0.0936056i
$363$	0.646661	−	3.58392i	0.0339409	−	0.188107i
$364$	−19.1431	−	18.2936i	−1.00337	−	0.958843i
$365$	−13.0904	+	12.1503i	−0.685183	+	0.635977i
$366$	1.61847	−	17.3319i	0.0845988	−	0.905954i
$367$	13.9284	−	3.73211i	0.727057	−	0.194814i	0.123739	−	0.992315i	$-0.460511\pi$
$367$	13.9284	−	3.73211i	0.727057	−	0.194814i	0.603318	+	0.797500i	$0.293845\pi$
$368$	−1.96706	−	24.5943i	−0.102540	−	1.28207i
$369$	10.2313	−	1.72019i	0.532620	−	0.0895495i
$370$	23.7001	−	7.59111i	1.23211	−	0.394643i
$371$	0.559849	+	4.90335i	0.0290659	+	0.254569i
$372$	18.9629	−	10.7542i	0.983183	−	0.557580i
$373$	−1.95218	+	7.28565i	−0.101080	+	0.377237i	−0.997871	−	0.0652182i	$-0.979226\pi$
$373$	−1.95218	+	7.28565i	−0.101080	+	0.377237i	0.896791	+	0.442455i	$0.145892\pi$
$374$	−0.422428	+	2.36986i	−0.0218432	+	0.122543i
$375$	13.2988	+	14.0763i	0.686745	+	0.726899i
$376$	−0.0624835	+	11.1732i	−0.00322234	+	0.576212i
$377$	−17.7402	+	17.7402i	−0.913666	+	0.913666i
$378$	16.0655	+	10.9498i	0.826321	+	0.563199i
$379$	34.6937			1.78209			0.891047	−	0.453910i	$-0.149971\pi$
$379$	34.6937			1.78209			0.891047	+	0.453910i	$0.149971\pi$
$380$	3.79051	−	9.22085i	0.194449	−	0.473020i
$381$	−1.25315	−	15.0115i	−0.0642009	−	0.769065i
$382$	−6.62271	−	9.49584i	−0.338848	−	0.485850i
$383$	1.75720	−	6.55796i	0.0897888	−	0.335096i	−0.906389	−	0.422444i	$-0.861172\pi$
$383$	1.75720	−	6.55796i	0.0897888	−	0.335096i	0.996178	+	0.0873475i	$0.0278391\pi$
$384$	2.04006	−	19.4894i	0.104106	−	0.994566i
$385$	21.0480	+	3.94638i	1.07270	+	0.201126i
$386$	−0.000189571	0	6.85983e-5i	−9.64892e−6	0	3.49156e-6i
$387$	21.3526	−	29.9837i	1.08541	−	1.52416i
$388$	−9.52841	−	6.72495i	−0.483732	−	0.341407i
$389$	13.1303	+	7.58077i	0.665732	+	0.384360i	0.794457	−	0.607320i	$-0.207755\pi$
$389$	13.1303	+	7.58077i	0.665732	+	0.384360i	−0.128726	+	0.991680i	$0.541089\pi$
$390$	−16.6971	−	21.7348i	−0.845489	−	1.10058i
$391$	2.90056			0.146688
$392$	0.792192	−	19.7831i	0.0400117	−	0.999199i
$393$	0.932166	−	5.16624i	0.0470215	−	0.260602i
$394$	4.87850	−	5.79201i	0.245775	−	0.291797i
$395$	29.0274	+	18.2322i	1.46053	+	0.917360i
$396$	−21.3430	−	4.02112i	−1.07253	−	0.202069i
$397$	16.8175	+	4.50622i	0.844044	+	0.226161i	0.654831	−	0.755775i	$-0.272740\pi$
$397$	16.8175	+	4.50622i	0.844044	+	0.226161i	0.189213	+	0.981936i	$0.439406\pi$
$398$	0.864009	−	1.84389i	0.0433089	−	0.0924260i
$399$	−3.27774	+	9.67565i	−0.164092	+	0.484388i
$400$	−5.07286	+	19.3460i	−0.253643	+	0.967298i
$401$	31.6286	−	18.2608i	1.57946	−	0.911901i	0.584524	−	0.811377i	$-0.301281\pi$
$401$	31.6286	−	18.2608i	1.57946	−	0.911901i	0.994935	−	0.100524i	$-0.0320519\pi$
$402$	32.3613	+	11.9932i	1.61404	+	0.598167i
$403$	30.4178	−	8.15043i	1.51522	−	0.406002i
$404$	5.76310	−	15.6522i	0.286725	−	0.778725i
$405$	14.7074	+	13.7366i	0.730815	+	0.682575i
$406$	−18.7227	−	1.17568i	−0.929190	−	0.0583482i
$407$	20.1428	−	20.1428i	0.998444	−	0.998444i
$408$	2.26478	+	0.421734i	0.112123	+	0.0208789i
$409$	25.0552	+	14.4656i	1.23890	+	0.715279i	0.968869	−	0.247572i	$-0.0796328\pi$
$409$	25.0552	+	14.4656i	1.23890	+	0.715279i	0.270031	+	0.962852i	$0.412966\pi$
$410$	−5.91779	−	9.19664i	−0.292259	−	0.454190i
$411$	9.98207	−	21.1860i	0.492379	−	1.04503i
$412$	−18.8212	−	1.71737i	−0.927254	−	0.0846088i
$413$	−21.9346	−	17.4390i	−1.07933	−	0.858119i
$414$	−0.257105	+	26.1683i	−0.0126360	+	1.28610i
$415$	8.14979	+	2.51234i	0.400057	+	0.123326i
$416$	9.92898	−	26.5083i	0.486808	−	1.29967i
$417$	−14.5555	−	12.3125i	−0.712783	−	0.602947i
$418$	−0.973411	−	11.3702i	−0.0476111	−	0.556136i
$419$		−	38.2984i		−	1.87100i	−0.353327	−	0.935500i	$-0.614950\pi$
$419$		−	38.2984i		−	1.87100i	0.353327	−	0.935500i	$-0.385050\pi$
$420$	3.93184	−	20.1132i	0.191854	−	0.981423i
$421$			7.79263i			0.379790i	0.981804	+	0.189895i	$0.0608147\pi$
$421$			7.79263i			0.379790i	−0.981804	+	0.189895i	$0.939185\pi$
$422$	−10.5306	+	0.901529i	−0.512620	+	0.0438858i
$423$	1.12684	−	11.7974i	0.0547890	−	0.573611i
$424$	−4.58379	+	2.61239i	−0.222609	+	0.126869i
$425$	−2.21954	−	0.775793i	−0.107663	−	0.0376315i
$426$	−2.79963	−	1.98481i	−0.135643	−	0.0961644i
$427$	17.4921	−	6.89515i	0.846504	−	0.333680i
$428$	−0.0895943	+	0.981893i	−0.00433071	+	0.0474616i
$429$	−28.3805	−	13.3718i	−1.37022	−	0.645598i
$430$	−37.9189	−	8.22593i	−1.82861	−	0.396689i
$431$	27.1326	+	15.6650i	1.30693	+	0.754558i	0.981583	−	0.191036i	$-0.0611847\pi$
$431$	27.1326	+	15.6650i	1.30693	+	0.754558i	0.325350	+	0.945594i	$0.394518\pi$
$432$	−4.00555	+	20.3950i	−0.192717	+	0.981254i
$433$	3.67103	−	3.67103i	0.176418	−	0.176418i	−0.613374	−	0.789792i	$-0.710188\pi$
$433$	3.67103	−	3.67103i	0.176418	−	0.176418i	0.789792	+	0.613374i	$0.210188\pi$
$434$	19.6142	+	13.0283i	0.941513	+	0.625378i
$435$	−18.9678	−	4.15683i	−0.909437	−	0.199305i
$436$	−12.2488	+	33.2669i	−0.586612	+	1.59320i
$437$	−13.2820	+	3.55891i	−0.635365	+	0.170246i
$438$	18.3456	+	6.79894i	0.876587	+	0.324866i
$439$	20.2878	−	11.7132i	0.968284	−	0.559039i	0.0695713	−	0.997577i	$-0.477837\pi$
$439$	20.2878	−	11.7132i	0.968284	−	0.559039i	0.898713	+	0.438538i	$0.144504\pi$
$440$	4.97319	+	22.3466i	0.237088	+	1.06533i
$441$	−2.71518	+	20.8237i	−0.129294	+	0.991606i
$442$	3.01335	+	1.41199i	0.143330	+	0.0671617i
$443$	−15.3747	−	4.11963i	−0.730473	−	0.195730i	−0.125633	−	0.992077i	$-0.540096\pi$
$443$	−15.3747	−	4.11963i	−0.730473	−	0.195730i	−0.604840	+	0.796347i	$0.706763\pi$
$444$	−19.1275	−	19.4247i	−0.907753	−	0.921857i
$445$	8.51724	−	13.5603i	0.403756	−	0.642819i
$446$	−1.77733	−	1.49701i	−0.0841589	−	0.0708855i
$447$	32.5757	+	5.87776i	1.54078	+	0.278008i
$448$	19.7770	−	7.54134i	0.934374	−	0.356295i
$449$	37.1684			1.75409			0.877043	−	0.480413i	$-0.159513\pi$
$449$	37.1684			1.75409			0.877043	+	0.480413i	$0.159513\pi$
$450$	7.19579	−	19.9555i	0.339213	−	0.940710i
$451$	−10.8411	−	6.25909i	−0.510486	−	0.294729i
$452$	0.711133	+	0.501902i	0.0334489	+	0.0236075i
$453$	−10.2956	+	3.70096i	−0.483731	+	0.173886i
$454$	−11.5619	−	31.9513i	−0.542628	−	1.49955i
$455$	12.8004	−	26.6935i	0.600094	−	1.25141i
$456$	−10.8882	+	0.847650i	−0.509885	+	0.0396948i
$457$	−8.16015	+	30.4541i	−0.381716	+	1.42458i	0.461564	+	0.887107i	$0.347288\pi$
$457$	−8.16015	+	30.4541i	−0.381716	+	1.42458i	−0.843280	+	0.537475i	$0.819378\pi$
$458$	−23.8766	+	16.6523i	−1.11568	+	0.778113i
$459$	−2.35247	−	0.660549i	−0.109804	−	0.0308318i
$460$	25.4570	−	10.6246i	1.18694	−	0.495372i
$461$	−2.80296			−0.130547			−0.0652735	−	0.997867i	$-0.520792\pi$
$461$	−2.80296			−0.130547			−0.0652735	+	0.997867i	$0.520792\pi$
$462$	−6.53642	−	22.5296i	−0.304102	−	1.04817i
$463$	−0.544403	+	0.544403i	−0.0253005	+	0.0253005i	−0.719644	−	0.694343i	$-0.755695\pi$
$463$	−0.544403	+	0.544403i	−0.0253005	+	0.0253005i	0.694343	+	0.719644i	$0.255695\pi$
$464$	−6.71843	−	18.8959i	−0.311895	−	0.877222i
$465$	18.0098	+	16.4227i	0.835183	+	0.761586i
$466$	19.7127	+	3.51379i	0.913175	+	0.162773i
$467$	−3.00893	+	11.2295i	−0.139236	+	0.519638i	0.860708	+	0.509099i	$0.170021\pi$
$467$	−3.00893	+	11.2295i	−0.139236	+	0.519638i	−0.999944	+	0.0105386i	$0.996645\pi$
$468$	−13.0058	+	27.0607i	−0.601194	+	1.25088i
$469$	4.22875	+	37.0368i	0.195265	+	1.71020i
$470$	−11.8968	+	3.81054i	−0.548760	+	0.175767i
$471$	1.39398	−	2.95859i	0.0642311	−	0.136325i
$472$	7.91515	−	28.8925i	0.364324	−	1.32988i
$473$	−42.9006	+	11.4952i	−1.97257	+	0.528550i
$474$	3.49126	−	37.3873i	0.160359	−	1.71726i
$475$	11.1154	+	0.829138i	0.510011	+	0.0380435i
$476$	0.698382	+	2.38827i	0.0320103	+	0.109466i
$477$	5.09036	−	2.32452i	0.233072	−	0.106433i
$478$	1.90899	+	22.2985i	0.0873150	+	1.01991i
$479$	1.81573	−	3.14493i	0.0829626	−	0.143695i	−0.821559	−	0.570124i	$-0.806895\pi$
$479$	1.81573	−	3.14493i	0.0829626	−	0.143695i	0.904521	+	0.426429i	$0.140228\pi$
$480$	21.4218	−	4.59436i	0.977765	−	0.209703i
$481$	−19.6899	−	34.1038i	−0.897780	−	1.55500i
$482$	23.4441	+	10.9854i	1.06785	+	0.500371i
$483$	−25.3435	+	12.5176i	−1.15317	+	0.569571i
$484$	2.69101	+	3.23141i	0.122319	+	0.146882i
$485$	3.84121	−	12.4605i	0.174420	−	0.565803i
$486$	6.16787	−	21.1650i	0.279780	−	0.960064i
$487$	−26.8469	+	7.19360i	−1.21655	+	0.325973i	−0.809328	−	0.587357i	$-0.800168\pi$
$487$	−26.8469	+	7.19360i	−1.21655	+	0.325973i	−0.407220	+	0.913330i	$0.633502\pi$
$488$	14.1333	+	14.2923i	0.639785	+	0.646981i
$489$	−3.64324	+	2.52947i	−0.164753	+	0.114387i
$490$	21.3009	−	6.02253i	0.962277	−	0.272070i
$491$	−7.63283			−0.344465			−0.172232	−	0.985056i	$-0.555098\pi$
$491$	−7.63283			−0.344465			−0.172232	+	0.985056i	$0.555098\pi$
$492$	−6.06975	+	10.3284i	−0.273645	+	0.465641i
$493$	2.27732	−	0.610206i	0.102565	−	0.0274823i
$494$	−15.5310	−	2.76839i	−0.698772	−	0.124556i
$495$	−3.13199	−	24.0792i	−0.140773	−	1.08228i
$496$	−4.55590	+	24.7569i	−0.204566	+	1.11162i
$497$	0.547026	−	3.66621i	0.0245375	−	0.164452i
$498$	−1.56846	−	9.20961i	−0.0702844	−	0.412693i
$499$	10.5848	+	18.3334i	0.473842	+	0.820718i	0.999552	−	0.0299463i	$-0.00953362\pi$
$499$	10.5848	+	18.3334i	0.473842	+	0.820718i	−0.525710	+	0.850664i	$0.676200\pi$
$500$	−22.3216	+	1.32122i	−0.998253	+	0.0590870i
$501$	−4.15610	+	0.346948i	−0.185681	+	0.0155005i
$502$	1.17894	+	13.7709i	0.0526186	+	0.614627i
$503$	−10.7237	−	10.7237i	−0.478145	−	0.478145i	0.426393	−	0.904538i	$-0.359784\pi$
$503$	−10.7237	−	10.7237i	−0.478145	−	0.478145i	−0.904538	+	0.426393i	$0.859784\pi$
$504$	−21.6084	+	6.08897i	−0.962516	+	0.271224i
$505$	18.6353	+	0.694071i	0.829259	+	0.0308858i
$506$	20.3415	−	24.1505i	0.904291	−	1.07362i
$507$	−13.4679	+	15.9212i	−0.598129	+	0.707087i
$508$	14.2111	+	10.0299i	0.630518	+	0.445006i
$509$	4.04529	−	2.33555i	0.179304	−	0.103521i	−0.407662	−	0.913133i	$-0.633656\pi$
$509$	4.04529	−	2.33555i	0.179304	−	0.103521i	0.586966	+	0.809612i	$0.300322\pi$
$510$	0.337619	+	2.55340i	0.0149500	+	0.113067i
$511$	2.39727	+	20.9961i	0.106049	+	0.928815i
$512$	15.7293	+	16.2662i	0.695145	+	0.718870i
$513$	11.5828	+	0.138317i	0.511391	+	0.00610683i
$514$	−0.883816	+	4.95830i	−0.0389834	+	0.218701i
$515$	−4.70545	−	20.5996i	−0.207347	−	0.907726i
$516$	10.6841	+	41.1395i	0.470341	+	1.81107i
$517$	−10.1112	+	10.1112i	−0.444689	+	0.444689i
$518$	9.38863	−	27.9088i	0.412513	−	1.22624i
$519$	18.7345	+	26.9837i	0.822355	+	1.18445i
$520$	31.6189	+	1.35475i	1.38658	+	0.0594097i
$521$	7.71541	+	4.45449i	0.338018	+	0.195155i	0.659395	−	0.751796i	$-0.270812\pi$
$521$	7.71541	+	4.45449i	0.338018	+	0.195155i	−0.321377	+	0.946951i	$0.604146\pi$
$522$	5.30329	+	20.5996i	0.232119	+	0.901620i
$523$	8.94949	−	33.3999i	0.391334	−	1.46048i	−0.436602	−	0.899655i	$-0.643818\pi$
$523$	8.94949	−	33.3999i	0.391334	−	1.46048i	0.827936	−	0.560823i	$-0.189515\pi$
$524$	3.87911	+	4.65810i	0.169459	+	0.203490i
$525$	22.7411	−	2.80016i	0.992504	−	0.122209i
$526$	13.1296	+	36.2836i	0.572478	+	1.58204i
$527$	−2.85848	−	0.765926i	−0.124517	−	0.0333643i
$528$	19.3942	−	15.8993i	0.844026	−	0.691928i
$529$	−13.0310	−	7.52344i	−0.566565	−	0.327106i
$530$	−4.36703	−	3.96531i	−0.189692	−	0.172242i
$531$	−11.1048	+	29.7706i	−0.481906	+	1.29193i
$532$	−6.12833	−	10.0793i	−0.265697	−	0.436994i
$533$	−12.2367	+	12.2367i	−0.530029	+	0.530029i
$534$	−17.4657	−	1.63096i	−0.755813	−	0.0705785i
$535$	−1.07467	+	0.245481i	−0.0464620	+	0.0106131i
$536$	−34.6231	+	19.7323i	−1.49549	+	0.852306i
$537$	5.58917	+	15.5484i	0.241191	+	0.670963i
$538$	11.6841	−	24.9352i	0.503737	−	1.07503i
$539$	18.5230	−	17.2895i	0.797842	−	0.744710i
$540$	−23.0662	+	2.81960i	−0.992611	+	0.121336i
$541$	2.78130	−	1.60579i	0.119577	−	0.0690381i	−0.439018	−	0.898478i	$-0.644674\pi$
$541$	2.78130	−	1.60579i	0.119577	−	0.0690381i	0.558596	+	0.829440i	$0.311340\pi$
$542$	−22.2782	+	15.5376i	−0.956933	+	0.667397i
$543$	16.5150	−	19.5235i	0.708727	−	0.837833i
$544$	−2.05360	+	1.69081i	−0.0880473	+	0.0724928i
$545$	−39.6072	−	1.47517i	−1.69658	−	0.0631893i
$546$	−32.4226	+	0.667148i	−1.38756	+	0.0285513i
$547$	21.7476	−	21.7476i	0.929861	−	0.929861i	−0.0678354	−	0.997697i	$-0.521609\pi$
$547$	21.7476	−	21.7476i	0.929861	−	0.929861i	0.997697	+	0.0678354i	$0.0216093\pi$
$548$	11.3374	+	24.5517i	0.484309	+	1.04879i
$549$	−13.5735	−	16.4403i	−0.579303	−	0.701654i
$550$	−22.0249	+	13.0396i	−0.939146	+	0.556012i
$551$	−9.67942	+	5.58842i	−0.412357	+	0.238075i
$552$	−22.9613	−	19.6444i	−0.977298	−	0.836122i
$553$	37.7329	−	14.8738i	1.60457	−	0.632497i
$554$	−15.9259	+	5.76296i	−0.676627	+	0.244845i
$555$	14.0081	−	27.0694i	0.594611	−	1.14903i
$556$	21.6936	−	3.74183i	0.920013	−	0.158689i
$557$	39.8838	−	10.6868i	1.68993	−	0.452816i	0.719559	−	0.694431i	$-0.244344\pi$
$557$	39.8838	−	10.6868i	1.68993	−	0.452816i	0.970372	+	0.241616i	$0.0776774\pi$
$558$	7.16341	−	25.7207i	0.303251	−	1.08884i
$559$			61.3984i			2.59687i
$560$	14.8775	+	18.4027i	0.628689	+	0.777657i
$561$	1.68141	+	2.42176i	0.0709891	+	0.102247i
$562$	−6.98287	+	0.597807i	−0.294554	+	0.0252170i
$563$	−0.311864	−	1.16389i	−0.0131435	−	0.0490523i	0.959043	−	0.283262i	$-0.0914165\pi$
$563$	−0.311864	−	1.16389i	−0.0131435	−	0.0490523i	−0.972186	+	0.234209i	$0.924750\pi$
$564$	9.60153	+	9.75071i	0.404297	+	0.410579i
$565$	−0.286681	+	0.929964i	−0.0120607	+	0.0391239i
$566$	−1.55667	−	4.30184i	−0.0654315	−	0.180820i
$567$	23.4053	−	4.38079i	0.982931	−	0.183976i
$568$	3.83338	−	1.00421i	0.160845	−	0.0421357i
$569$	8.59199	+	14.8818i	0.360195	+	0.623876i	0.987993	−	0.154501i	$-0.0493769\pi$
$569$	8.59199	+	14.8818i	0.360195	+	0.623876i	−0.627798	+	0.778376i	$0.716044\pi$
$570$	−4.67896	−	11.2781i	−0.195980	−	0.472388i
$571$	−1.43609	−	0.829130i	−0.0600987	−	0.0346980i	0.469650	−	0.882853i	$-0.344380\pi$
$571$	−1.43609	−	0.829130i	−0.0600987	−	0.0346980i	−0.529748	+	0.848155i	$0.677714\pi$
$572$	32.8890	−	15.1874i	1.37516	−	0.635016i
$573$	−13.9538	−	2.51774i	−0.582928	−	0.105180i
$574$	−12.9143	−	0.810953i	−0.539034	−	0.0338485i
$575$	20.1253	+	23.3697i	0.839283	+	0.974586i
$576$	−15.0721	−	18.6770i	−0.628005	−	0.778210i
$577$	−5.94014	+	1.59166i	−0.247291	+	0.0662615i	−0.380335	−	0.924849i	$-0.624191\pi$
$577$	−5.94014	+	1.59166i	−0.247291	+	0.0662615i	0.133044	+	0.991110i	$0.457525\pi$
$578$	13.5741	+	19.4629i	0.564608	+	0.809551i
$579$	−0.000105238	0	0.000223359i	−4.37356e−6	0	9.28249e-6i
$580$	17.7519	−	13.6972i	0.737108	−	0.568744i
$581$	8.11009	−	6.00414i	0.336463	−	0.249094i
$582$	−14.0809	+	2.39808i	−0.583673	+	0.0994036i
$583$	−6.52197	−	1.74756i	−0.270112	−	0.0723763i
$584$	−19.6278	+	11.1862i	−0.812204	+	0.462890i
$585$	−33.2737	−	4.43322i	−1.37570	−	0.183291i
$586$	−13.3663	−	11.2581i	−0.552155	−	0.465070i
$587$	−15.6511	−	15.6511i	−0.645991	−	0.645991i	0.306031	−	0.952022i	$-0.400999\pi$
$587$	−15.6511	−	15.6511i	−0.645991	−	0.645991i	−0.952022	+	0.306031i	$0.900999\pi$
$588$	−16.4089	−	17.8535i	−0.676691	−	0.736267i
$589$	14.0291			0.578059
$590$	33.4541	−	1.61289i	1.37728	−	0.0664015i
$591$	−0.771564	−	9.24258i	−0.0317379	−	0.380189i
$592$	31.3785	−	2.50966i	1.28965	−	0.103146i
$593$	−4.84554	+	18.0838i	−0.198983	+	0.742613i	0.792217	+	0.610239i	$0.208927\pi$
$593$	−4.84554	+	18.0838i	−0.198983	+	0.742613i	−0.991200	+	0.132374i	$0.957740\pi$
$594$	−21.9977	+	14.9547i	−0.902576	+	0.613598i
$595$	−2.29599	+	1.57096i	−0.0941264	+	0.0644030i
$596$	−29.3715	+	24.4596i	−1.20311	+	1.00191i
$597$	−0.843639	−	2.34690i	−0.0345278	−	0.0960523i
$598$	−24.9702	−	35.8031i	−1.02111	−	1.46410i
$599$	−14.2081	+	24.6092i	−0.580528	+	1.00550i	0.414888	+	0.909872i	$0.363821\pi$
$599$	−14.2081	+	24.6092i	−0.580528	+	1.00550i	−0.995417	+	0.0956325i	$0.969513\pi$
$600$	12.3161	+	21.1734i	0.502802	+	0.864402i
$601$	−10.4635			−0.426816			−0.213408	−	0.976963i	$-0.568456\pi$
$601$	−10.4635			−0.426816			−0.213408	+	0.976963i	$0.568456\pi$
$602$	−34.4338	+	30.3648i	−1.40342	+	1.23758i
$603$	38.4494	−	17.5580i	1.56578	−	0.715016i
$604$	4.36502	−	11.8551i	0.177610	−	0.482377i
$605$	−2.50068	+	3.98133i	−0.101667	+	0.161864i
$606$	−8.52493	−	18.5643i	−0.346302	−	0.754122i
$607$	−0.120609	+	0.450119i	−0.00489537	+	0.0182698i	−0.968330	−	0.249673i	$-0.919677\pi$
$607$	−0.120609	+	0.450119i	−0.00489537	+	0.0182698i	0.963435	+	0.267942i	$0.0863437\pi$
$608$	7.32911	−	10.2621i	0.297235	−	0.416185i
$609$	−17.2646	+	15.1596i	−0.699596	+	0.614299i
$610$	−10.2861	+	19.9805i	−0.416474	+	0.808987i
$611$	9.88379	+	17.1192i	0.399855	+	0.692570i
$612$	2.32996	−	1.59120i	0.0941830	−	0.0643203i
$613$	−12.2595	+	3.28492i	−0.495156	+	0.132677i	−0.497751	−	0.867320i	$-0.665841\pi$
$613$	−12.2595	+	3.28492i	−0.495156	+	0.132677i	0.00259495	+	0.999997i	$0.499174\pi$
$614$	−4.99217	−	4.20481i	−0.201468	−	0.169693i
$615$	−13.0834	−	2.86726i	−0.527575	−	0.115619i
$616$	24.7829	+	10.9341i	0.998531	+	0.440545i
$617$	−1.74047	+	1.74047i	−0.0700688	+	0.0700688i	−0.741273	−	0.671204i	$-0.765777\pi$
$617$	−1.74047	+	1.74047i	−0.0700688	+	0.0700688i	0.671204	+	0.741273i	$0.265777\pi$
$618$	−17.8182	+	14.7747i	−0.716755	+	0.594325i
$619$	−6.22239	+	10.7775i	−0.250099	+	0.433184i	−0.963553	−	0.267518i	$-0.913797\pi$
$619$	−6.22239	+	10.7775i	−0.250099	+	0.433184i	0.713454	+	0.700702i	$0.247130\pi$
$620$	−27.8932	+	3.74820i	−1.12022	+	0.150531i
$621$	22.3912	+	22.9325i	0.898529	+	0.920249i
$622$	14.2335	−	30.3759i	0.570711	−	1.21796i
$623$	−6.94835	−	17.6271i	−0.278380	−	0.706215i
$624$	−14.2913	−	31.5859i	−0.572109	−	1.26445i
$625$	−9.14955	−	23.2655i	−0.365982	−	0.930622i
$626$	−0.597351	+	3.35121i	−0.0238750	+	0.133941i
$627$	−10.6708	−	9.02650i	−0.426151	−	0.360484i
$628$	1.58325	+	3.42860i	0.0631784	+	0.136816i
$629$			3.70066i			0.147555i
$630$	−13.9694	−	20.8532i	−0.556553	−	0.830812i
$631$	−42.2270			−1.68103			−0.840515	−	0.541788i	$-0.817748\pi$
$631$	−42.2270			−1.68103			−0.840515	+	0.541788i	$0.817748\pi$
$632$	30.4875	+	30.8304i	1.21273	+	1.22637i
$633$	−8.35993	+	9.88282i	−0.332277	+	0.392807i
$634$	4.60811	+	0.821395i	0.183012	+	0.0326218i
$635$	−5.72897	+	18.5842i	−0.227347	+	0.737493i
$636$	−1.72047	+	6.22844i	−0.0682212	+	0.246974i
$637$	−16.4593	−	30.9199i	−0.652141	−	1.22509i
$638$	10.8901	−	23.2407i	0.431143	−	0.920107i
$639$	−4.14493	+	0.696888i	−0.163971	+	0.0275685i
$640$	−11.8302	+	22.3617i	−0.467631	+	0.883924i
$641$	−2.24285	−	1.29491i	−0.0885874	−	0.0511460i	0.455052	−	0.890465i	$-0.349621\pi$
$641$	−2.24285	−	1.29491i	−0.0885874	−	0.0511460i	−0.543639	+	0.839319i	$0.682954\pi$
$642$	0.770787	+	0.929568i	0.0304206	+	0.0366871i
$643$	−4.31064	−	4.31064i	−0.169995	−	0.169995i	0.616982	−	0.786977i	$-0.288355\pi$
$643$	−4.31064	−	4.31064i	−0.169995	−	0.169995i	−0.786977	+	0.616982i	$0.788355\pi$
$644$	7.73017	−	31.7105i	0.304611	−	1.24957i
$645$	−40.0169	+	25.6302i	−1.57566	+	1.00919i
$646$	1.13389	+	0.955055i	0.0446123	+	0.0375761i
$647$	3.11550	+	11.6272i	0.122483	+	0.457112i	0.999737	−	0.0229132i	$-0.00729413\pi$
$647$	3.11550	+	11.6272i	0.122483	+	0.457112i	−0.877255	+	0.480025i	$0.840627\pi$
$648$	14.1489	+	21.1615i	0.555822	+	0.831301i
$649$	33.2019	−	19.1691i	1.30329	−	0.752454i
$650$	9.53150	+	34.0755i	0.373856	+	1.33655i
$651$	28.2813	−	5.64376i	1.10843	−	0.221196i
$652$	0.465375	−	5.10019i	0.0182255	−	0.199739i
$653$	−22.0799	−	5.91629i	−0.864053	−	0.231522i	−0.200538	−	0.979686i	$-0.564269\pi$
$653$	−22.0799	−	5.91629i	−0.864053	−	0.231522i	−0.663514	+	0.748164i	$0.730936\pi$
$654$	18.1188	+	39.4562i	0.708500	+	1.54286i
$655$	−3.60475	+	5.73911i	−0.140849	+	0.224246i
$656$	−4.63418	−	13.0339i	−0.180934	−	0.508887i
$657$	21.7969	−	9.95360i	0.850379	−	0.388327i
$658$	−4.71285	+	14.0095i	−0.183726	+	0.546146i
$659$		−	45.6738i		−	1.77920i	−0.456740	−	0.889600i	$-0.650983\pi$
$659$		−	45.6738i		−	1.77920i	0.456740	−	0.889600i	$-0.349017\pi$
$660$	23.6277	+	15.0959i	0.919709	+	0.587605i
$661$	−18.7808	−	10.8431i	−0.730490	−	0.421748i	0.0881117	−	0.996111i	$-0.471917\pi$
$661$	−18.7808	−	10.8431i	−0.730490	−	0.421748i	−0.818601	+	0.574362i	$0.805250\pi$
$662$	−13.0663	−	18.7348i	−0.507836	−	0.728150i
$663$	3.83539	−	1.37870i	0.148954	−	0.0535444i
$664$	9.31191	+	5.44589i	0.361372	+	0.211342i
$665$	8.58611	−	10.0107i	0.332955	−	0.388200i
$666$	−33.3866	−	0.328026i	−1.29371	−	0.0127108i
$667$	−29.8718	−	8.00412i	−1.15664	−	0.309921i
$668$	2.77688	−	3.93450i	0.107441	−	0.152230i
$669$	−2.83617	+	0.236761i	−0.109653	+	0.00915371i
$670$	−32.9858	−	29.9515i	−1.27435	−	1.15713i
$671$			25.7238i			0.993056i
$672$	10.6464	−	23.6359i	0.410694	−	0.911773i
$673$	1.91550	−	1.91550i	0.0738372	−	0.0738372i	−0.669224	−	0.743061i	$-0.733373\pi$
$673$	1.91550	−	1.91550i	0.0738372	−	0.0738372i	0.743061	+	0.669224i	$0.233373\pi$
$674$	0.721583	−	0.856701i	0.0277943	−	0.0329989i
$675$	−11.0004	−	23.5370i	−0.423406	−	0.905940i
$676$	−4.09294	−	23.7292i	−0.157421	−	0.912661i
$677$	−8.46881	+	31.6060i	−0.325483	+	1.21472i	0.588342	+	0.808612i	$0.299781\pi$
$677$	−8.46881	+	31.6060i	−0.325483	+	1.21472i	−0.913825	+	0.406107i	$0.866886\pi$
$678$	1.05090	−	0.178976i	0.0403596	−	0.00687352i
$679$	−9.17996	−	12.3998i	−0.352294	−	0.475862i
$680$	−2.50961	−	1.59593i	−0.0962391	−	0.0612011i
$681$	−37.6461	−	17.7374i	−1.44260	−	0.679701i
$682$	−26.4236	+	18.4287i	−1.01181	+	0.705672i
$683$	10.3670	+	38.6903i	0.396684	+	1.48044i	0.818893	+	0.573946i	$0.194588\pi$
$683$	10.3670	+	38.6903i	0.396684	+	1.48044i	−0.422210	+	0.906498i	$0.638745\pi$
$684$	−8.71682	+	10.1451i	−0.333296	+	0.387907i
$685$	−22.1602	+	20.5688i	−0.846698	+	0.785893i
$686$	9.20069	−	24.5224i	0.351284	−	0.936269i
$687$	−6.33067	+	35.0858i	−0.241530	+	1.33861i
$688$	−44.3254	−	21.0730i	−1.68989	−	0.803402i
$689$	−4.66704	+	8.08355i	−0.177800	+	0.307959i
$690$	12.9113	−	31.2203i	0.491526	−	1.18853i
$691$	−23.2404	+	13.4179i	−0.884107	+	0.510439i	−0.872010	−	0.489487i	$-0.837184\pi$
$691$	−23.2404	+	13.4179i	−0.884107	+	0.510439i	−0.0120967	+	0.999927i	$0.503851\pi$
$692$	−37.7746	−	3.44680i	−1.43597	−	0.131028i
$693$	−25.1426	−	13.9038i	−0.955087	−	0.528160i
$694$	0.448627	+	1.23978i	0.0170296	+	0.0470613i
$695$	11.5043	+	21.7581i	0.436383	+	0.825334i
$696$	−22.1603	−	10.5930i	−0.839985	−	0.401525i
$697$	1.57083	−	0.420902i	0.0594993	−	0.0159428i
$698$	−3.00514	−	35.1025i	−0.113746	−	1.32865i
$699$	20.1444	−	13.9861i	0.761931	−	0.529003i
$700$	−14.3966	+	22.1977i	−0.544141	+	0.838994i
$701$	−11.0406			−0.416997			−0.208499	−	0.978023i	$-0.566858\pi$
$701$	−11.0406			−0.416997			−0.208499	+	0.978023i	$0.566858\pi$
$702$	12.0984	+	34.7243i	0.456625	+	1.31058i
$703$	−4.54061	−	16.9458i	−0.171252	−	0.639123i
$704$	−0.323872	+	28.9562i	−0.0122064	+	1.09133i
$705$	−7.03170	+	13.5881i	−0.264829	+	0.511758i
$706$	−0.534494	−	1.47707i	−0.0201160	−	0.0555904i
$707$	13.7316	−	17.2714i	0.516429	−	0.649558i
$708$	−18.0994	−	31.9147i	−0.680217	−	1.19943i
$709$	−19.1991	−	33.2537i	−0.721036	−	1.24887i	−0.960585	−	0.277986i	$-0.910333\pi$
$709$	−19.1991	−	33.2537i	−0.721036	−	1.24887i	0.239549	−	0.970884i	$-0.423000\pi$
$710$	2.39743	+	3.72577i	0.0899741	+	0.139826i
$711$	−29.2799	−	35.4640i	−1.09808	−	1.33000i
$712$	14.4026	−	14.2424i	0.539759	−	0.533756i
$713$	27.4482	+	27.4482i	1.02794	+	1.02794i
$714$	2.67002	+	1.46914i	0.0999230	+	0.0549813i
$715$	27.5536	+	29.6855i	1.03045	+	1.11017i
$716$	−17.9035	−	6.59202i	−0.669084	−	0.246355i
$717$	20.9269	+	17.7021i	0.781528	+	0.661099i
$718$	18.1992	−	12.6927i	0.679188	−	0.473688i
$719$	−10.4454	−	18.0920i	−0.389549	−	0.674718i	0.602840	−	0.797862i	$-0.294036\pi$
$719$	−10.4454	−	18.0920i	−0.389549	−	0.674718i	−0.992389	+	0.123144i	$0.960702\pi$
$720$	14.6206	−	22.4997i	0.544878	−	0.838515i
$721$	−22.9303	−	9.96389i	−0.853969	−	0.371074i
$722$	17.9673	+	8.41909i	0.668673	+	0.313326i
$723$	29.8396	−	10.7264i	1.10975	−	0.398919i
$724$	5.01898	+	29.0980i	0.186529	+	1.08142i
$725$	20.7174	+	14.1144i	0.769425	+	0.524197i
$726$	5.12797	+	0.478854i	0.190317	+	0.0177719i
$727$	−11.9596	−	11.9596i	−0.443558	−	0.443558i	0.449648	−	0.893206i	$-0.351549\pi$
$727$	−11.9596	−	11.9596i	−0.443558	−	0.443558i	−0.893206	+	0.449648i	$0.851549\pi$
$728$	23.4675	−	29.1806i	0.869762	−	1.08150i
$729$	−12.9378	−	23.6984i	−0.479177	−	0.877718i
$730$	−18.6996	−	16.9795i	−0.692104	−	0.628438i
$731$	2.88492	−	4.99682i	0.106703	−	0.184814i
$732$	24.6170	+	0.189763i	0.909869	+	0.00701385i
$733$	1.35952	−	5.07379i	0.0502149	−	0.187405i	−0.936263	−	0.351301i	$-0.885740\pi$
$733$	1.35952	−	5.07379i	0.0502149	−	0.187405i	0.986478	+	0.163896i	$0.0524062\pi$
$734$	6.93895	+	19.1758i	0.256121	+	0.707790i
$735$	13.2815	−	23.6347i	0.489896	−	0.871781i
$736$	34.4176	−	5.73852i	1.26865	−	0.211525i
$737$	−49.2628	−	13.1999i	−1.81462	−	0.486226i
$738$	3.65806	+	14.2090i	0.134655	+	0.523041i
$739$	−6.23773	+	10.8041i	−0.229459	+	0.397434i	−0.957648	−	0.287942i	$-0.907029\pi$
$739$	−6.23773	+	10.8041i	−0.229459	+	0.397434i	0.728189	+	0.685376i	$0.240362\pi$
$740$	13.5553	+	32.4791i	0.498302	+	1.19396i
$741$	−15.8711	+	11.0192i	−0.583039	+	0.404799i
$742$	−6.84157	+	1.38035i	−0.251162	+	0.0506744i
$743$	−31.5243	−	31.5243i	−1.15651	−	1.15651i	−0.985220	−	0.171294i	$-0.945205\pi$
$743$	−31.5243	−	31.5243i	−1.15651	−	1.15651i	−0.171294	−	0.985220i	$-0.554795\pi$
$744$	17.4408	+	25.4226i	0.639412	+	0.932039i
$745$	−36.1879	−	22.7297i	−1.32582	−	0.832751i
$746$	−10.5014	−	1.87187i	−0.384484	−	0.0685341i
$747$	−9.32006	−	6.63717i	−0.341003	−	0.242841i
$748$	−3.39024	−	0.309348i	−0.123959	−	0.0113109i
$749$	−0.519811	+	1.19626i	−0.0189935	+	0.0437105i
$750$	−18.2302	+	20.4368i	−0.665671	+	0.746245i
$751$	23.5929	+	40.8641i	0.860916	+	1.49115i	0.871045	+	0.491202i	$0.163442\pi$
$751$	23.5929	+	40.8641i	0.860916	+	1.49115i	−0.0101290	+	0.999949i	$0.503224\pi$
$752$	−15.7512	+	1.25978i	−0.574387	+	0.0459395i
$753$	12.9239	+	10.9324i	0.470972	+	0.398398i
$754$	−27.1370	−	22.8570i	−0.988271	−	0.832402i
$755$	14.1145	+	0.525695i	0.513679	+	0.0191320i
$756$	−13.4910	+	23.9582i	−0.490662	+	0.871350i
$757$	5.56781	−	5.56781i	0.202366	−	0.202366i	−0.598647	−	0.801013i	$-0.704295\pi$
$757$	5.56781	−	5.56781i	0.202366	−	0.202366i	0.801013	+	0.598647i	$0.204295\pi$
$758$	4.18512	+	48.8855i	0.152010	+	1.77560i
$759$	−3.21713	−	38.5381i	−0.116775	−	1.39885i
$760$	13.4500	+	4.22874i	0.487882	+	0.153393i
$761$	21.1998	−	12.2397i	0.768494	−	0.443690i	−0.0638434	−	0.997960i	$-0.520336\pi$
$761$	21.1998	−	12.2397i	0.768494	−	0.443690i	0.832337	+	0.554270i	$0.187002\pi$
$762$	21.0010	−	3.57662i	0.760786	−	0.129567i
$763$	−29.1849	+	36.7084i	−1.05656	+	1.32893i
$764$	12.5813	−	10.4773i	0.455176	−	0.379055i
$765$	2.49963	+	1.92422i	0.0903743	+	0.0695702i
$766$	9.45253	+	1.68491i	0.341534	+	0.0608783i
$767$	−13.7172	−	51.1933i	−0.495299	−	1.84848i
$768$	27.7079	+	0.523545i	0.999822	+	0.0188918i
$769$			21.9585i			0.791844i	0.918284	+	0.395922i	$0.129575\pi$
$769$			21.9585i			0.791844i	−0.918284	+	0.395922i	$0.870425\pi$
$770$	−3.02165	+	30.1339i	−0.108893	+	1.08595i
$771$	3.51789	+	5.06688i	0.126694	+	0.182479i
$772$	−0.000119527	0	0.000258842i	−4.30188e−6	0	9.31593e-6i
$773$	−5.22378	−	19.4954i	−0.187886	−	0.701201i	−0.993994	−	0.109432i	$-0.965097\pi$
$773$	−5.22378	−	19.4954i	−0.187886	−	0.701201i	0.806108	−	0.591768i	$-0.201570\pi$
$774$	44.8246	+	26.4701i	1.61119	+	0.951447i
$775$	−13.6623	−	28.3450i	−0.490763	−	1.01818i
$776$	8.32643	−	14.2373i	0.298901	−	0.511091i
$777$	−15.9705	−	32.3344i	−0.572939	−	1.15999i
$778$	−9.09785	+	19.4158i	−0.326174	+	0.696091i
$779$	−6.67658	+	3.85473i	−0.239213	+	0.138110i
$780$	28.6114	−	26.1490i	1.02445	−	0.936286i
$781$	4.39196	+	2.53570i	0.157157	+	0.0907345i
$782$	0.349896	+	4.08706i	0.0125122	+	0.146153i
$783$	22.4045	+	13.2944i	0.800671	+	0.475104i
$784$	27.9712	−	1.27020i	0.998971	−	0.0453644i
$785$	−3.09464	+	2.87239i	−0.110452	+	0.102520i
$786$	7.39199	+	0.690270i	0.263663	+	0.0246211i
$787$	−3.37722	−	12.6040i	−0.120385	−	0.449283i	0.879248	−	0.476364i	$-0.158046\pi$
$787$	−3.37722	−	12.6040i	−0.120385	−	0.449283i	−0.999633	+	0.0270808i	$0.991379\pi$
$788$	8.74978	+	6.17540i	0.311698	+	0.219990i
$789$	42.7506	+	20.1425i	1.52196	+	0.717091i
$790$	−22.1886	+	43.1007i	−0.789435	+	1.53345i
$791$	0.685127	+	0.925434i	0.0243603	+	0.0329047i
$792$	3.09138	−	30.5586i	0.109848	−	1.08585i
$793$	34.3491	+	9.20382i	1.21977	+	0.326837i
$794$	−4.32084	+	24.2404i	−0.153341	+	0.860259i
$795$	−7.21674	+	0.332626i	−0.255951	+	0.0117970i
$796$	2.70238	+	0.995011i	0.0957833	+	0.0352672i
$797$	29.5625	+	29.5625i	1.04716	+	1.04716i	0.998832	+	0.0483256i	$0.0153885\pi$
$797$	29.5625	+	29.5625i	1.04716	+	1.04716i	0.0483256	+	0.998832i	$0.484611\pi$
$798$	−14.0290	−	3.45135i	−0.496620	−	0.122176i
$799$		−	1.85764i		−	0.0657184i
$800$	−27.8715	−	4.81426i	−0.985408	−	0.170210i
$801$	−16.5672	+	13.6782i	−0.585371	+	0.483297i
$802$	29.5459	+	42.3638i	1.04330	+	1.49592i
$803$	−27.9271	−	7.48303i	−0.985525	−	0.264071i
$804$	−12.9954	+	47.0458i	−0.458312	+	1.65918i
$805$	36.3851	−	2.78732i	1.28240	−	0.0982401i
$806$	15.1537	+	41.8773i	0.533768	+	1.47507i
$807$	−11.4086	−	31.7374i	−0.401603	−	1.11721i
$808$	22.7501	+	6.23243i	0.800344	+	0.219256i
$809$	−10.3820	+	17.9821i	−0.365010	+	0.632216i	−0.988778	−	0.149394i	$-0.952268\pi$
$809$	−10.3820	+	17.9821i	−0.365010	+	0.632216i	0.623768	+	0.781610i	$0.285601\pi$
$810$	−17.5815	+	22.3806i	−0.617750	+	0.786374i
$811$		−	35.2287i		−	1.23705i	−0.785766	−	0.618524i	$-0.787731\pi$
$811$		−	35.2287i		−	1.23705i	0.785766	−	0.618524i	$-0.212269\pi$
$812$	−0.601913	−	26.5232i	−0.0211230	−	0.930780i
$813$	−5.90688	+	32.7370i	−0.207163	+	1.14814i
$814$	30.8123	+	25.9526i	1.07997	+	0.909639i
$815$	5.58210	−	1.27509i	0.195532	−	0.0446644i
$816$	−0.321047	+	3.24208i	−0.0112389	+	0.113495i
$817$	−7.07943	+	26.4208i	−0.247678	+	0.924347i
$818$	−17.3605	+	37.0493i	−0.606996	+	1.29540i
$819$	−27.5616	+	28.5983i	−0.963081	+	0.999306i
$820$	12.2447	−	9.44791i	0.427605	−	0.329935i
$821$	7.22244	+	12.5096i	0.252065	+	0.436589i	0.964094	−	0.265560i	$-0.0855570\pi$
$821$	7.22244	+	12.5096i	0.252065	+	0.436589i	−0.712029	+	0.702150i	$0.752224\pi$
$822$	31.0565	+	11.5096i	1.08322	+	0.401445i
$823$	−5.73497	−	21.4032i	−0.199909	−	0.746069i	−0.990941	−	0.134295i	$-0.957123\pi$
$823$	−5.73497	−	21.4032i	−0.199909	−	0.746069i	0.791033	−	0.611774i	$-0.209544\pi$
$824$	0.149467	−	26.7274i	0.00520692	−	0.931092i
$825$	−7.84575	+	30.3503i	−0.273154	+	1.05666i
$826$	21.9267	−	33.0108i	0.762926	−	1.14859i
$827$	−19.3461	−	19.3461i	−0.672731	−	0.672731i	0.285614	−	0.958345i	$-0.407803\pi$
$827$	−19.3461	−	19.3461i	−0.672731	−	0.672731i	−0.958345	+	0.285614i	$0.907803\pi$
$828$	−36.9036	+	2.79441i	−1.28249	+	0.0971126i
$829$	−3.88539	+	6.72970i	−0.134945	+	0.233732i	−0.925577	−	0.378560i	$-0.876419\pi$
$829$	−3.88539	+	6.72970i	−0.134945	+	0.233732i	0.790631	+	0.612293i	$0.209753\pi$
$830$	−2.55692	+	11.7866i	−0.0887521	+	0.409119i
$831$	−8.84110	+	18.7644i	−0.306694	+	0.650931i
$832$	38.5495	+	10.7928i	1.33646	+	0.374174i
$833$	−0.113311	+	3.28975i	−0.00392601	+	0.113983i
$834$	15.5933	−	21.9948i	0.539950	−	0.761616i
$835$	5.14523	+	1.58612i	0.178058	+	0.0548901i
$836$	15.9039	−	2.74319i	0.550047	−	0.0948752i
$837$	−16.0108	−	28.5124i	−0.553414	−	0.985534i
$838$	53.9647	−	4.61995i	1.86418	−	0.159594i
$839$	50.1273			1.73059			0.865294	−	0.501265i	$-0.167132\pi$
$839$	50.1273			1.73059			0.865294	+	0.501265i	$0.167132\pi$
$840$	28.8150	+	3.11393i	0.994211	+	0.107441i
$841$	3.86286			0.133202
$842$	−10.9803	+	0.940029i	−0.378406	+	0.0323955i
$843$	−5.54350	+	6.55334i	−0.190928	+	0.225709i
$844$	−2.54062	−	14.7295i	−0.0874516	−	0.507009i
$845$	23.7998	−	12.5838i	0.818738	−	0.432896i
$846$	16.7592	+	0.164661i	0.576194	+	0.00566115i
$847$	2.04005	+	5.17536i	0.0700971	+	0.177828i
$848$	−4.23395	−	6.14370i	−0.145394	−	0.210976i
$849$	−5.06857	−	2.38812i	−0.173953	−	0.0819600i
$850$	0.825394	−	3.22105i	0.0283108	−	0.110481i
$851$	24.2709	−	42.0385i	0.831997	−	1.44106i
$852$	2.45899	−	4.18428i	0.0842438	−	0.143351i
$853$	28.3031	+	28.3031i	0.969081	+	0.969081i	0.999536	−	0.0304551i	$-0.00969565\pi$
$853$	28.3031	+	28.3031i	0.969081	+	0.969081i	−0.0304551	+	0.999536i	$0.509696\pi$
$854$	11.8258	+	23.8157i	0.404669	+	0.814956i
$855$	−13.8071	−	5.74426i	−0.472192	−	0.196449i
$856$	−1.39435	−	0.00779761i	−0.0476580	−	0.000266517i
$857$	−7.97881	−	29.7773i	−0.272551	−	1.01717i	−0.957465	−	0.288550i	$-0.906827\pi$
$857$	−7.97881	−	29.7773i	−0.272551	−	1.01717i	0.684914	−	0.728624i	$-0.259840\pi$
$858$	15.4181	−	41.6029i	0.526367	−	1.42030i
$859$	−9.29758	−	16.1039i	−0.317229	−	0.549457i	0.662680	−	0.748903i	$-0.269419\pi$
$859$	−9.29758	−	16.1039i	−0.317229	−	0.549457i	−0.979909	+	0.199446i	$0.936086\pi$
$860$	7.01665	−	54.4223i	0.239266	−	1.85578i
$861$	−11.9086	+	10.4567i	−0.405844	+	0.356362i
$862$	−18.7999	+	40.1212i	−0.640328	+	1.36653i
$863$	−1.57006	+	5.85955i	−0.0534455	+	0.199461i	−0.987486	−	0.157705i	$-0.949590\pi$
$863$	−1.57006	+	5.85955i	−0.0534455	+	0.199461i	0.934041	+	0.357166i	$0.116257\pi$
$864$	−29.2209	−	3.18380i	−0.994117	−	0.108315i
$865$	−9.44395	−	41.3438i	−0.321104	−	1.40573i
$866$	5.61553	+	4.72986i	0.190824	+	0.160727i
$867$	28.6000	+	5.16042i	0.971308	+	0.175257i
$868$	−15.9916	+	29.2092i	−0.542789	+	0.991425i
$869$			55.4898i			1.88236i
$870$	3.56912	−	27.2282i	0.121005	−	0.923123i
$871$	−35.2519	+	61.0581i	−1.19446	+	2.06887i
$872$	−48.3527	−	13.2463i	−1.63743	−	0.448577i
$873$	−10.1478	+	14.2498i	−0.343452	+	0.482283i
$874$	−6.61693	−	18.2858i	−0.223821	−	0.618528i
$875$	−28.5877	−	7.59878i	−0.966442	−	0.256885i
$876$	−7.36707	+	26.6702i	−0.248910	+	0.901103i
$877$	−37.2214	−	9.97344i	−1.25688	−	0.336779i	−0.431888	−	0.901927i	$-0.642152\pi$
$877$	−37.2214	−	9.97344i	−1.25688	−	0.336779i	−0.824989	+	0.565148i	$0.808819\pi$
$878$	18.9519	+	27.1738i	0.639595	+	0.917070i
$879$	−21.3292	+	1.78054i	−0.719415	+	0.0600562i
$880$	−30.8878	+	9.70321i	−1.04123	+	0.327095i
$881$		−	48.9415i		−	1.64888i	−0.565948	−	0.824441i	$-0.691490\pi$
$881$		−	48.9415i		−	1.64888i	0.565948	−	0.824441i	$-0.308510\pi$
$882$	−29.6694	−	1.31388i	−0.999021	−	0.0442405i
$883$	−0.347333	−	0.347333i	−0.0116887	−	0.0116887i	0.701238	−	0.712927i	$-0.252631\pi$
$883$	−0.347333	−	0.347333i	−0.0116887	−	0.0116887i	−0.712927	+	0.701238i	$0.752631\pi$
$884$	−1.62608	+	4.41632i	−0.0546910	+	0.148537i
$885$	27.6395	−	30.3105i	0.929093	−	1.01888i
$886$	3.95015	−	22.1608i	0.132708	−	0.744506i
$887$	14.2693	+	3.82344i	0.479115	+	0.128379i	0.490291	−	0.871559i	$-0.336891\pi$
$887$	14.2693	+	3.82344i	0.479115	+	0.128379i	−0.0111753	+	0.999938i	$0.503557\pi$
$888$	25.0632	−	29.2950i	0.841067	−	0.983078i
$889$	13.6914	+	18.4937i	0.459196	+	0.620259i
$890$	20.1347	+	10.3655i	0.674916	+	0.347453i
$891$	−6.16713	+	31.9887i	−0.206607	+	1.07166i
$892$	1.89498	−	2.68495i	0.0634485	−	0.0898986i
$893$	2.27927	+	8.50635i	0.0762728	+	0.284654i
$894$	−4.35249	+	46.6101i	−0.145569	+	1.55887i
$895$	0.793901	−	21.3156i	0.0265372	−	0.712503i
$896$	13.0119	+	26.9572i	0.434697	+	0.900577i
$897$	−52.6112	−	9.49286i	−1.75664	−	0.316957i
$898$	4.48364	+	52.3725i	0.149621	+	1.74769i
$899$	27.3248	+	15.7760i	0.911334	+	0.526159i
$900$	28.9865	+	7.73205i	0.966216	+	0.257735i
$901$	0.759642	−	0.438579i	0.0253073	−	0.0146112i
$902$	7.51167	−	16.0307i	0.250111	−	0.533765i
$903$	−3.64262	+	56.1097i	−0.121219	+	1.86721i
$904$	−0.621425	+	1.06257i	−0.0206683	+	0.0353407i
$905$	−29.1846	+	15.4309i	−0.970128	+	0.512941i
$906$	−6.45685	−	14.0607i	−0.214514	−	0.467136i
$907$	−10.6295	−	39.6700i	−0.352948	−	1.31722i	−0.883047	−	0.469285i	$-0.844512\pi$
$907$	−10.6295	−	39.6700i	−0.352948	−	1.31722i	0.530099	−	0.847936i	$-0.322155\pi$
$908$	43.6266	−	20.1457i	1.44780	−	0.668560i
$909$	−23.4415	−	8.74395i	−0.777505	−	0.290019i
$910$	39.1568	+	14.8165i	1.29804	+	0.491164i
$911$		−	13.1205i		−	0.434702i	−0.976094	−	0.217351i	$-0.930258\pi$
$911$		−	13.1205i		−	0.434702i	0.976094	−	0.217351i	$-0.0697416\pi$
$912$	−2.50783	−	15.2398i	−0.0830426	−	0.504641i
$913$	3.57313	+	13.3351i	0.118253	+	0.441328i
$914$	−43.8960	−	7.82444i	−1.45195	−	0.258810i
$915$	8.34008	+	26.2294i	0.275715	+	0.867117i
$916$	−26.3444	−	31.6348i	−0.870443	−	1.04524i
$917$	2.94075	+	7.46031i	0.0971121	+	0.246361i
$918$	0.646973	−	3.39446i	0.0213533	−	0.112034i
$919$	−1.81166	+	1.04596i	−0.0597613	+	0.0345032i	−0.529583	−	0.848258i	$-0.677652\pi$
$919$	−1.81166	+	1.04596i	−0.0597613	+	0.0345032i	0.469822	+	0.882761i	$0.344318\pi$
$920$	18.0415	+	34.5887i	0.594811	+	1.14036i
$921$	−7.96625	+	0.665017i	−0.262497	+	0.0219130i
$922$	−0.338123	−	3.94954i	−0.0111355	−	0.130071i
$923$	4.95735	−	4.95735i	0.163173	−	0.163173i
$924$	30.9571	−	11.9280i	1.01841	−	0.392401i
$925$	−29.8161	+	25.6767i	−0.980349	+	0.844246i
$926$	−0.832767	−	0.701424i	−0.0273664	−	0.0230502i
$927$	−2.69553	+	28.2207i	−0.0885327	+	0.926888i
$928$	25.8151	−	11.7461i	0.847421	−	0.385585i
$929$	−7.40326	−	12.8228i	−0.242893	−	0.420703i	0.718644	−	0.695378i	$-0.244763\pi$
$929$	−7.40326	−	12.8228i	−0.242893	−	0.420703i	−0.961537	+	0.274675i	$0.911430\pi$
$930$	−20.9681	+	27.3579i	−0.687571	+	0.897101i
$931$	−3.51757	−	15.2032i	−0.115284	−	0.498265i
$932$	−2.57318	+	28.2003i	−0.0842873	+	0.923731i
$933$	−13.8979	−	38.6623i	−0.454997	−	1.26575i
$934$	−16.1859	−	2.88514i	−0.529620	−	0.0944046i
$935$	−0.847586	−	3.71057i	−0.0277190	−	0.121349i
$936$	−39.6990	−	15.0616i	−1.29760	−	0.492305i
$937$	12.6740	+	12.6740i	0.414042	+	0.414042i	0.883144	−	0.469102i	$-0.155422\pi$
$937$	12.6740	+	12.6740i	0.414042	+	0.414042i	−0.469102	+	0.883144i	$0.655422\pi$
$938$	−51.6769	+	10.4263i	−1.68731	+	0.340432i
$939$	2.37767	+	3.42459i	0.0775922	+	0.111757i
$940$	−6.80440	−	16.3037i	−0.221935	−	0.531767i
$941$	21.7770	−	37.7188i	0.709909	−	1.22960i	−0.254982	−	0.966946i	$-0.582070\pi$
$941$	21.7770	−	37.7188i	0.709909	−	1.22960i	0.964891	−	0.262652i	$-0.0845971\pi$
$942$	4.33699	+	1.60730i	0.141307	+	0.0523687i
$943$	−20.6047	−	5.52101i	−0.670981	−	0.179789i
$944$	41.6660	+	7.66760i	1.35611	+	0.249559i
$945$	−30.1446	−	6.02540i	−0.980603	−	0.196006i
$946$	−21.3725	−	59.0629i	−0.694881	−	1.92030i
$947$	11.0791	−	41.3479i	0.360024	−	1.34363i	−0.514019	−	0.857779i	$-0.671844\pi$
$947$	11.0791	−	41.3479i	0.360024	−	1.34363i	0.874043	−	0.485849i	$-0.161489\pi$
$948$	53.1021	+	0.409345i	1.72468	+	0.0132949i
$949$	−19.9843	+	34.6138i	−0.648717	+	1.12361i
$950$	0.172554	+	15.7623i	0.00559839	+	0.511397i
$951$	4.70902	−	3.26944i	0.152701	−	0.106019i
$952$	−3.28097	+	1.27216i	−0.106337	+	0.0412309i
$953$	−13.3541	−	13.3541i	−0.432582	−	0.432582i	0.456924	−	0.889506i	$-0.348951\pi$
$953$	−13.3541	−	13.3541i	−0.432582	−	0.432582i	−0.889506	+	0.456924i	$0.848951\pi$
$954$	3.88944	+	6.89221i	0.125925	+	0.223144i
$955$	15.5011	+	9.73626i	0.501603	+	0.315058i
$956$	−31.1896	+	5.37975i	−1.00874	+	0.173994i
$957$	−10.6333	−	29.5807i	−0.343727	−	0.956208i
$958$	4.65042	+	2.17909i	0.150248	+	0.0704032i
$959$	4.05825	+	35.5435i	0.131048	+	1.14776i
$960$	9.05784	+	29.6303i	0.292340	+	0.956314i
$961$	−4.30193	−	7.45116i	−0.138772	−	0.240360i
$962$	45.6791	−	31.8581i	1.47275	−	1.02715i
$963$	1.47226	+	0.140624i	0.0474428	+	0.00453155i
$964$	−12.6510	+	34.3593i	−0.407462	+	1.10664i
$965$	0.000233630	0	0.000216852i	7.52081e−6	0	6.98070e-6i
$966$	−20.6953	−	34.2005i	−0.665859	−	1.10038i
$967$	−28.8723	−	28.8723i	−0.928470	−	0.928470i	0.0691376	−	0.997607i	$-0.477975\pi$
$967$	−28.8723	−	28.8723i	−0.928470	−	0.928470i	−0.997607	+	0.0691376i	$0.977975\pi$
$968$	−4.22863	+	4.18160i	−0.135913	+	0.134402i
$969$	1.80940	−	0.151048i	0.0581264	−	0.00485235i
$970$	18.0210	+	3.90938i	0.578619	+	0.125523i
$971$	−26.3180	−	45.5842i	−0.844586	−	1.46287i	−0.885980	−	0.463723i	$-0.846513\pi$
$971$	−26.3180	−	45.5842i	−0.844586	−	1.46287i	0.0413946	−	0.999143i	$-0.486820\pi$
$972$	30.5668	+	6.13775i	0.980430	+	0.196868i
$973$	28.8028	+	4.29760i	0.923376	+	0.137775i
$974$	−13.3748	−	36.9611i	−0.428555	−	1.18431i
$975$	37.7197	+	21.3356i	1.20800	+	0.683286i
$976$	−18.4338	+	21.6388i	−0.590051	+	0.692640i
$977$	6.03240	+	22.5132i	0.192994	+	0.720262i	0.992777	+	0.119973i	$0.0382809\pi$
$977$	6.03240	+	22.5132i	0.192994	+	0.720262i	−0.799784	+	0.600288i	$0.795052\pi$
$978$	−4.00366	−	4.82841i	−0.128023	−	0.154395i
$979$	25.9223			0.828480
$980$	11.0556	+	29.2878i	0.353160	+	0.935563i
$981$	49.8222	+	18.5843i	1.59070	+	0.593350i
$982$	−0.920752	−	10.7551i	−0.0293824	−	0.343209i
$983$	13.5914	−	3.64182i	0.433500	−	0.116156i	−0.0354687	−	0.999371i	$-0.511292\pi$
$983$	13.5914	−	3.64182i	0.433500	−	0.116156i	0.468969	+	0.883215i	$0.344626\pi$
$984$	−15.2856	−	7.30671i	−0.487286	−	0.232930i
$985$	−3.52732	+	11.4423i	−0.112390	+	0.364581i
$986$	1.13453	+	3.13527i	0.0361308	+	0.0998472i
$987$	8.01679	+	16.2310i	0.255177	+	0.516639i
$988$	2.02732	−	22.2180i	0.0644977	−	0.706850i
$989$	−65.5438	+	37.8417i	−2.08417	+	1.20330i
$990$	33.5512	−	7.31785i	1.06633	−	0.232577i
$991$	10.5743	−	18.3152i	0.335903	−	0.581801i	−0.647755	−	0.761849i	$-0.724292\pi$
$991$	10.5743	−	18.3152i	0.335903	−	0.581801i	0.983658	+	0.180048i	$0.0576252\pi$
$992$	−35.4336	−	3.43310i	−1.12502	−	0.109001i
$993$	−27.5301	−	4.96737i	−0.873642	−	0.157635i
$994$	5.23189	+	0.328536i	0.165946	+	0.0104205i
$995$	−0.119833	+	3.21742i	−0.00379895	+	0.101999i
$996$	12.7877	−	3.32102i	0.405193	−	0.105230i
$997$	−6.44759	−	24.0627i	−0.204197	−	0.762074i	−0.989693	−	0.143207i	$-0.954259\pi$
$997$	−6.44759	−	24.0627i	−0.204197	−	0.762074i	0.785496	−	0.618867i	$-0.212408\pi$
$998$	−24.5561	+	17.1262i	−0.777308	+	0.542121i
$999$	−29.2583	+	28.5677i	−0.925690	+	0.903843i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	840.2.dc.e.557.92	yes	704
3.2	odd	2	inner	840.2.dc.e.557.85	yes	704
5.3	odd	4	inner	840.2.dc.e.53.173	yes	704
7.2	even	3	inner	840.2.dc.e.317.147	yes	704
8.5	even	2	inner	840.2.dc.e.557.118	yes	704
15.8	even	4	inner	840.2.dc.e.53.4	✓	704
21.2	odd	6	inner	840.2.dc.e.317.30	yes	704
24.5	odd	2	inner	840.2.dc.e.557.59	yes	704
35.23	odd	12	inner	840.2.dc.e.653.59	yes	704
40.13	odd	4	inner	840.2.dc.e.53.30	yes	704
56.37	even	6	inner	840.2.dc.e.317.4	yes	704
105.23	even	12	inner	840.2.dc.e.653.118	yes	704
120.53	even	4	inner	840.2.dc.e.53.147	yes	704
168.149	odd	6	inner	840.2.dc.e.317.173	yes	704
280.93	odd	12	inner	840.2.dc.e.653.85	yes	704
840.653	even	12	inner	840.2.dc.e.653.92	yes	704

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
840.2.dc.e.53.4	✓	704	15.8	even	4	inner
840.2.dc.e.53.30	yes	704	40.13	odd	4	inner
840.2.dc.e.53.147	yes	704	120.53	even	4	inner
840.2.dc.e.53.173	yes	704	5.3	odd	4	inner
840.2.dc.e.317.4	yes	704	56.37	even	6	inner
840.2.dc.e.317.30	yes	704	21.2	odd	6	inner
840.2.dc.e.317.147	yes	704	7.2	even	3	inner
840.2.dc.e.317.173	yes	704	168.149	odd	6	inner
840.2.dc.e.557.59	yes	704	24.5	odd	2	inner
840.2.dc.e.557.85	yes	704	3.2	odd	2	inner
840.2.dc.e.557.92	yes	704	1.1	even	1	trivial
840.2.dc.e.557.118	yes	704	8.5	even	2	inner
840.2.dc.e.653.59	yes	704	35.23	odd	12	inner
840.2.dc.e.653.85	yes	704	280.93	odd	12	inner
840.2.dc.e.653.92	yes	704	840.653	even	12	inner
840.2.dc.e.653.118	yes	704	105.23	even	12	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 840 = 2^{3} \cdot 3 \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	840.dc (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.120630 + 1.40906i) q^{2} +(1.32239 + 1.11861i) q^{3} +(-1.97090 + 0.339951i) q^{4} +(-1.04518 - 1.97676i) q^{5} +(-1.41667 + 1.99826i) q^{6} +(-2.61678 - 0.390444i) q^{7} +(-0.716761 - 2.73610i) q^{8} +(0.497409 + 2.95848i) q^{9} +(2.65929 - 1.71118i) q^{10} +(1.80988 - 3.13480i) q^{11} +(-2.98656 - 1.75512i) q^{12} +(-3.53835 - 3.53835i) q^{13} +(0.234495 - 3.73430i) q^{14} +(0.829095 - 3.78320i) q^{15} +(3.76887 - 1.34002i) q^{16} +(0.121708 + 0.454220i) q^{17} +(-4.10867 + 1.05776i) q^{18} +(-1.11463 - 1.93060i) q^{19} +(2.73195 + 3.54068i) q^{20} +(-3.02364 - 3.44349i) q^{21} +(4.63544 + 2.17207i) q^{22} +(1.59645 - 5.95804i) q^{23} +(2.11280 - 4.41996i) q^{24} +(-2.81518 + 4.13216i) q^{25} +(4.55891 - 5.41257i) q^{26} +(-2.65162 + 4.46866i) q^{27} +(5.29014 - 0.120054i) q^{28} -5.01369i q^{29} +(5.43077 + 0.711875i) q^{30} +(-3.14658 + 5.45004i) q^{31} +(2.34280 + 5.14891i) q^{32} +(5.89998 - 2.12086i) q^{33} +(-0.625341 + 0.226286i) q^{34} +(1.96321 + 5.58084i) q^{35} +(-1.98608 - 5.66176i) q^{36} +(7.60153 + 2.03682i) q^{37} +(2.58587 - 1.80347i) q^{38} +(-0.721018 - 8.63710i) q^{39} +(-4.65948 + 4.27660i) q^{40} -3.45830i q^{41} +(4.48733 - 4.67588i) q^{42} +(-8.67614 - 8.67614i) q^{43} +(-2.50140 + 6.79363i) q^{44} +(5.32832 - 4.07541i) q^{45} +(8.58781 + 1.53077i) q^{46} +(-3.81577 - 1.02243i) q^{47} +(6.48286 + 2.44389i) q^{48} +(6.69511 + 2.04341i) q^{49} +(-6.16206 - 3.46829i) q^{50} +(-0.347151 + 0.736797i) q^{51} +(8.17658 + 5.77085i) q^{52} +(-0.482783 - 1.80177i) q^{53} +(-6.61647 - 3.19724i) q^{54} +(-8.08840 - 0.301252i) q^{55} +(0.807315 + 7.43964i) q^{56} +(0.685619 - 3.79983i) q^{57} +(7.06459 - 0.604804i) q^{58} +(9.17243 + 5.29571i) q^{59} +(-0.347958 + 7.73815i) q^{60} +(-6.15442 + 3.55326i) q^{61} +(-8.05900 - 3.77628i) q^{62} +(-0.146493 - 7.93590i) q^{63} +(-6.97251 + 3.92226i) q^{64} +(-3.29624 + 10.6927i) q^{65} +(3.70013 + 8.05758i) q^{66} +(-3.64664 - 13.6095i) q^{67} +(-0.394286 - 0.853845i) q^{68} +(8.77587 - 6.09302i) q^{69} +(-7.62692 + 3.43950i) q^{70} +1.40104i q^{71} +(7.73817 - 3.48148i) q^{72} +(-2.06728 - 7.71519i) q^{73} +(-1.95303 + 10.9567i) q^{74} +(-8.34504 + 2.31522i) q^{75} +(2.85313 + 3.42609i) q^{76} +(-5.96001 + 7.49643i) q^{77} +(12.0832 - 2.05786i) q^{78} +(-13.2759 + 7.66486i) q^{79} +(-6.58806 - 6.04959i) q^{80} +(-8.50517 + 2.94315i) q^{81} +(4.87295 - 0.417176i) q^{82} +(-2.69687 + 2.69687i) q^{83} +(7.12990 + 5.75886i) q^{84} +(0.770677 - 0.715331i) q^{85} +(11.1786 - 13.2718i) q^{86} +(5.60839 - 6.63004i) q^{87} +(-9.87437 - 2.70510i) q^{88} +(3.58068 + 6.20191i) q^{89} +(6.38526 + 7.01630i) q^{90} +(7.87756 + 10.6406i) q^{91} +(-1.12100 + 12.2854i) q^{92} +(-10.2575 + 3.68725i) q^{93} +(0.980370 - 5.49998i) q^{94} +(-2.65134 + 4.22119i) q^{95} +(-2.66155 + 9.42954i) q^{96} +(4.12334 + 4.12334i) q^{97} +(-2.07166 + 9.68030i) q^{98} +(10.1745 + 3.79520i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 704 q - 16 q^{6} - 24 q^{7} + 12 q^{10} + 10 q^{12} + 32 q^{15} - 72 q^{16} + 6 q^{18} + 64 q^{22} - 8 q^{25} + 24 q^{28} + 8 q^{30} - 16 q^{31} + 44 q^{33} - 240 q^{36} + 16 q^{40} - 78 q^{42} - 8 q^{46}+ \cdots - 80 q^{97}+O(q^{100}) \) 704 * q - 16 * q^6 - 24 * q^7 + 12 * q^10 + 10 * q^12 + 32 * q^15 - 72 * q^16 + 6 * q^18 + 64 * q^22 - 8 * q^25 + 24 * q^28 + 8 * q^30 - 16 * q^31 + 44 * q^33 - 240 * q^36 + 16 * q^40 - 78 * q^42 - 8 * q^46 - 20 * q^48 - 60 * q^52 + 272 * q^55 + 8 * q^57 - 20 * q^58 - 14 * q^60 + 12 * q^63 - 84 * q^66 + 112 * q^70 - 38 * q^72 + 104 * q^73 - 64 * q^76 - 16 * q^78 - 168 * q^81 - 72 * q^82 - 64 * q^87 + 52 * q^88 - 44 * q^90 + 40 * q^96 - 80 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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