LMFDB - Embedded newform 684.2.bs.a.119.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [684,2,Mod(23,684)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(684, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 15, 2]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("684.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 684 = 2^{2} \cdot 3^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	684.bs (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$5.46176749826$
Analytic rank:	$0$
Dimension:	$696$
Relative dimension:	$116$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			119.11
Character	$\chi$	$=$	684.119
Dual form			684.2.bs.a.23.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.36753 - 0.360368i) q^{2} +(0.356216 - 1.69503i) q^{3} +(1.74027 + 0.985628i) q^{4} +(-1.53473 - 0.270614i) q^{5} +(-1.09797 + 2.18963i) q^{6} -0.923751i q^{7} +(-2.02468 - 1.97501i) q^{8} +(-2.74622 - 1.20759i) q^{9} +(2.00127 + 0.923141i) q^{10} +(1.38916 + 2.40610i) q^{11} +(2.29058 - 2.59870i) q^{12} +(5.07753 - 4.26056i) q^{13} +(-0.332890 + 1.26326i) q^{14} +(-1.00539 + 2.50501i) q^{15} +(2.05708 + 3.43052i) q^{16} +(-0.788778 - 2.16715i) q^{17} +(3.32036 + 2.64107i) q^{18} +(-3.66424 - 2.36079i) q^{19} +(-2.40412 - 1.98361i) q^{20} +(-1.56578 - 0.329055i) q^{21} +(-1.03264 - 3.79102i) q^{22} +(-8.65925 - 3.15171i) q^{23} +(-4.06892 + 2.72835i) q^{24} +(-2.41630 - 0.879461i) q^{25} +(-8.47904 + 3.99665i) q^{26} +(-3.02515 + 4.22475i) q^{27} +(0.910474 - 1.60758i) q^{28} +(3.10017 + 3.69463i) q^{29} +(2.27763 - 3.06336i) q^{30} +(3.56920 + 2.06068i) q^{31} +(-1.57686 - 5.43263i) q^{32} +(4.57324 - 1.49757i) q^{33} +(0.297705 + 3.24789i) q^{34} +(-0.249980 + 1.41771i) q^{35} +(-3.58893 - 4.80828i) q^{36} -5.89377 q^{37} +(4.16021 + 4.54892i) q^{38} +(-5.41305 - 10.1242i) q^{39} +(2.57287 + 3.57902i) q^{40} +(0.179922 + 0.494332i) q^{41} +(2.02267 + 1.01425i) q^{42} +(-2.04848 - 5.62815i) q^{43} +(0.0459988 + 5.55646i) q^{44} +(3.88791 + 2.59649i) q^{45} +(10.7060 + 7.43057i) q^{46} +(-2.45486 + 2.05987i) q^{47} +(6.54757 - 2.26479i) q^{48} +6.14668 q^{49} +(2.98743 + 2.07345i) q^{50} +(-3.95435 + 0.565024i) q^{51} +(13.0356 - 2.40996i) q^{52} +(-3.83515 - 4.57056i) q^{53} +(5.65944 - 4.68730i) q^{54} +(-1.48086 - 4.06864i) q^{55} +(-1.82442 + 1.87030i) q^{56} +(-5.30686 + 5.37004i) q^{57} +(-2.90814 - 6.16972i) q^{58} +(-2.01639 - 1.69196i) q^{59} +(-4.21866 + 3.36845i) q^{60} +(2.41706 + 13.7078i) q^{61} +(-4.13839 - 4.10427i) q^{62} +(-1.11551 + 2.53682i) q^{63} +(0.198657 + 7.99753i) q^{64} +(-8.94561 + 5.16475i) q^{65} +(-6.79372 + 0.399924i) q^{66} +(-14.1422 + 2.49365i) q^{67} +(0.763316 - 4.54887i) q^{68} +(-8.42679 + 13.5550i) q^{69} +(0.852752 - 1.84867i) q^{70} +(-7.01828 - 5.88904i) q^{71} +(3.17521 + 7.86880i) q^{72} +(1.56692 - 8.88643i) q^{73} +(8.05990 + 2.12393i) q^{74} +(-2.35143 + 3.78241i) q^{75} +(-4.04992 - 7.71999i) q^{76} +(2.22264 - 1.28324i) q^{77} +(3.75405 + 15.7959i) q^{78} +(-6.78987 + 8.09186i) q^{79} +(-2.22871 - 5.82159i) q^{80} +(6.08345 + 6.63262i) q^{81} +(-0.0679072 - 0.740852i) q^{82} +4.95989 q^{83} +(-2.40056 - 2.11592i) q^{84} +(0.624099 + 3.53944i) q^{85} +(0.773148 + 8.43487i) q^{86} +(7.36683 - 3.93877i) q^{87} +(1.93947 - 7.61520i) q^{88} +(4.70122 - 0.828952i) q^{89} +(-4.38114 - 4.95186i) q^{90} +(-3.93569 - 4.69038i) q^{91} +(-11.9630 - 14.0196i) q^{92} +(4.76432 - 5.31584i) q^{93} +(4.09940 - 1.93228i) q^{94} +(4.98476 + 4.61477i) q^{95} +(-9.77015 + 0.737629i) q^{96} +(0.862927 - 4.89390i) q^{97} +(-8.40577 - 2.21507i) q^{98} +(-0.909361 - 8.28522i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 696 q - 9 q^{2} - 3 q^{4} - 18 q^{5} - 6 q^{6} - 18 q^{9} - 12 q^{10} - 3 q^{12} - 6 q^{13} - 9 q^{14} - 3 q^{16} - 12 q^{18} - 18 q^{20} + 24 q^{21} + 9 q^{22} + 45 q^{24} - 6 q^{25} + 72 q^{26} - 18 q^{29}+ \cdots + 45 q^{98}+O(q^{100}) $ 696 * q - 9 * q^2 - 3 * q^4 - 18 * q^5 - 6 * q^6 - 18 * q^9 - 12 * q^10 - 3 * q^12 - 6 * q^13 - 9 * q^14 - 3 * q^16 - 12 * q^18 - 18 * q^20 + 24 * q^21 + 9 * q^22 + 45 * q^24 - 6 * q^25 + 72 * q^26 - 18 * q^29 - 9 * q^32 + 12 * q^33 + 15 * q^34 - 66 * q^36 - 48 * q^37 - 9 * q^38 + 12 * q^40 - 108 * q^41 + 126 * q^42 + 135 * q^44 - 6 * q^45 - 6 * q^46 - 18 * q^48 - 564 * q^49 - 9 * q^50 - 3 * q^52 - 66 * q^54 + 45 * q^56 - 12 * q^57 - 6 * q^58 + 9 * q^60 - 6 * q^61 - 18 * q^62 + 12 * q^64 - 18 * q^65 - 18 * q^66 - 6 * q^69 + 18 * q^70 + 12 * q^72 + 12 * q^73 - 90 * q^74 - 3 * q^76 - 36 * q^77 - 21 * q^78 + 18 * q^81 - 12 * q^82 + 81 * q^84 - 6 * q^85 - 9 * q^86 + 90 * q^88 - 117 * q^90 - 9 * q^92 - 30 * q^93 - 6 * q^94 - 87 * q^96 + 12 * q^97 + 45 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/684\mathbb{Z}\right)^\times$.

$n$	$325$	$343$	$533$
$\chi(n)$	$e\left(\frac{8}{9}\right)$	$-1$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−1.36753	−	0.360368i	−0.966989	−	0.254819i
$2$	−1.36753	−	0.360368i	−0.966989	−	0.254819i
$3$	0.356216	−	1.69503i	0.205662	−	0.978623i
$3$	0.356216	−	1.69503i	0.205662	−	0.978623i
$4$	1.74027	+	0.985628i	0.870135	+	0.492814i
$5$	−1.53473	−	0.270614i	−0.686352	−	0.121022i	−0.180412	−	0.983591i	$-0.557743\pi$
$5$	−1.53473	−	0.270614i	−0.686352	−	0.121022i	−0.505940	+	0.862569i	$0.668854\pi$
$6$	−1.09797	+	2.18963i	−0.448244	+	0.893911i
$7$		−	0.923751i		−	0.349145i	−0.984644	−	0.174573i	$-0.944146\pi$
$7$		−	0.923751i		−	0.349145i	0.984644	−	0.174573i	$-0.0558544\pi$
$8$	−2.02468	−	1.97501i	−0.715832	−	0.698272i
$9$	−2.74622	−	1.20759i	−0.915407	−	0.402530i
$10$	2.00127	+	0.923141i	0.632856	+	0.291923i
$11$	1.38916	+	2.40610i	0.418848	+	0.725467i	0.995824	−	0.0912948i	$-0.0291006\pi$
$11$	1.38916	+	2.40610i	0.418848	+	0.725467i	−0.576976	+	0.816761i	$0.695767\pi$
$12$	2.29058	−	2.59870i	0.661232	−	0.750181i
$13$	5.07753	−	4.26056i	1.40825	−	1.18167i	0.450962	−	0.892543i	$-0.351081\pi$
$13$	5.07753	−	4.26056i	1.40825	−	1.18167i	0.957292	−	0.289122i	$-0.0933634\pi$
$14$	−0.332890	+	1.26326i	−0.0889687	+	0.337619i
$15$	−1.00539	+	2.50501i	−0.259592	+	0.646790i
$16$	2.05708	+	3.43052i	0.514269	+	0.857629i
$17$	−0.788778	−	2.16715i	−0.191307	−	0.525611i	0.806541	−	0.591178i	$-0.201337\pi$
$17$	−0.788778	−	2.16715i	−0.191307	−	0.525611i	−0.997848	+	0.0655666i	$0.979115\pi$
$18$	3.32036	+	2.64107i	0.782616	+	0.622505i
$19$	−3.66424	−	2.36079i	−0.840635	−	0.541602i
$19$	−3.66424	−	2.36079i	−0.840635	−	0.541602i
$20$	−2.40412	−	1.98361i	−0.537577	−	0.443550i
$21$	−1.56578	−	0.329055i	−0.341681	−	0.0718057i
$22$	−1.03264	−	3.79102i	−0.220159	−	0.808249i
$23$	−8.65925	−	3.15171i	−1.80558	−	0.657177i	−0.997697	−	0.0678308i	$-0.978392\pi$
$23$	−8.65925	−	3.15171i	−1.80558	−	0.657177i	−0.807881	−	0.589346i	$-0.799386\pi$
$24$	−4.06892	+	2.72835i	−0.830564	+	0.556922i
$25$	−2.41630	−	0.879461i	−0.483260	−	0.175892i
$26$	−8.47904	+	3.99665i	−1.66288	+	0.783808i
$27$	−3.02515	+	4.22475i	−0.582190	+	0.813053i
$28$	0.910474	−	1.60758i	0.172063	−	0.303803i
$29$	3.10017	+	3.69463i	0.575686	+	0.686076i	0.972788	−	0.231698i	$-0.0744283\pi$
$29$	3.10017	+	3.69463i	0.575686	+	0.686076i	−0.397101	+	0.917775i	$0.629984\pi$
$30$	2.27763	−	3.06336i	0.415837	−	0.559290i
$31$	3.56920	+	2.06068i	0.641048	+	0.370109i	0.785018	−	0.619473i	$-0.212654\pi$
$31$	3.56920	+	2.06068i	0.641048	+	0.370109i	−0.143970	+	0.989582i	$0.545987\pi$
$32$	−1.57686	−	5.43263i	−0.278753	−	0.960363i
$33$	4.57324	−	1.49757i	0.796099	−	0.260694i
$34$	0.297705	+	3.24789i	0.0510559	+	0.557008i
$35$	−0.249980	+	1.41771i	−0.0422544	+	0.239636i
$36$	−3.58893	−	4.80828i	−0.598155	−	0.801381i
$37$	−5.89377			−0.968930			−0.484465	−	0.874811i	$-0.660986\pi$
$37$	−5.89377			−0.968930			−0.484465	+	0.874811i	$0.660986\pi$
$38$	4.16021	+	4.54892i	0.674875	+	0.737932i
$39$	−5.41305	−	10.1242i	−0.866781	−	1.62117i
$40$	2.57287	+	3.57902i	0.406807	+	0.565892i
$41$	0.179922	+	0.494332i	0.0280991	+	0.0772018i	0.952949	−	0.303131i	$-0.0980318\pi$
$41$	0.179922	+	0.494332i	0.0280991	+	0.0772018i	−0.924850	+	0.380332i	$0.875810\pi$
$42$	2.02267	+	1.01425i	0.312105	+	0.156502i
$43$	−2.04848	−	5.62815i	−0.312390	−	0.858285i	−0.992173	−	0.124872i	$-0.960148\pi$
$43$	−2.04848	−	5.62815i	−0.312390	−	0.858285i	0.679783	−	0.733414i	$-0.262074\pi$
$44$	0.0459988	+	5.55646i	0.00693458	+	0.837668i
$45$	3.88791	+	2.59649i	0.579576	+	0.387062i
$46$	10.7060	+	7.43057i	1.57851	+	1.09558i
$47$	−2.45486	+	2.05987i	−0.358078	+	0.300463i	−0.804024	−	0.594597i	$-0.797312\pi$
$47$	−2.45486	+	2.05987i	−0.358078	+	0.300463i	0.445946	+	0.895060i	$0.352867\pi$
$48$	6.54757	−	2.26479i	0.945061	−	0.326894i
$49$	6.14668			0.878098
$50$	2.98743	+	2.07345i	0.422486	+	0.293229i
$51$	−3.95435	+	0.565024i	−0.553719	+	0.0791192i
$52$	13.0356	−	2.40996i	1.80771	−	0.334201i
$53$	−3.83515	−	4.57056i	−0.526799	−	0.627814i	0.435375	−	0.900249i	$-0.356616\pi$
$53$	−3.83515	−	4.57056i	−0.526799	−	0.627814i	−0.962174	+	0.272435i	$0.912171\pi$
$54$	5.65944	−	4.68730i	0.770152	−	0.637860i
$55$	−1.48086	−	4.06864i	−0.199680	−	0.548616i
$56$	−1.82442	+	1.87030i	−0.243798	+	0.249929i
$57$	−5.30686	+	5.37004i	−0.702910	+	0.711279i
$58$	−2.90814	−	6.16972i	−0.381857	−	0.810124i
$59$	−2.01639	−	1.69196i	−0.262512	−	0.220274i	0.502026	−	0.864853i	$-0.332588\pi$
$59$	−2.01639	−	1.69196i	−0.262512	−	0.220274i	−0.764538	+	0.644579i	$0.777033\pi$
$60$	−4.21866	+	3.36845i	−0.544627	+	0.434865i
$61$	2.41706	+	13.7078i	0.309473	+	1.75511i	0.601663	+	0.798750i	$0.294505\pi$
$61$	2.41706	+	13.7078i	0.309473	+	1.75511i	−0.292190	+	0.956360i	$0.594384\pi$
$62$	−4.13839	−	4.10427i	−0.525576	−	0.521243i
$63$	−1.11551	+	2.53682i	−0.140542	+	0.319610i
$64$	0.198657	+	7.99753i	0.0248322	+	0.999692i
$65$	−8.94561	+	5.16475i	−1.10957	+	0.640608i
$66$	−6.79372	+	0.399924i	−0.836249	+	0.0492272i
$67$	−14.1422	+	2.49365i	−1.72774	+	0.304647i	−0.947244	−	0.320512i	$-0.896145\pi$
$67$	−14.1422	+	2.49365i	−1.72774	+	0.304647i	−0.780497	+	0.625160i	$0.785034\pi$
$68$	0.763316	−	4.54887i	0.0925657	−	0.551631i
$69$	−8.42679	+	13.5550i	−1.01447	+	1.63182i
$70$	0.852752	−	1.84867i	0.101923	−	0.220959i
$71$	−7.01828	−	5.88904i	−0.832917	−	0.698900i	0.123042	−	0.992401i	$-0.460735\pi$
$71$	−7.01828	−	5.88904i	−0.832917	−	0.698900i	−0.955959	+	0.293502i	$0.905179\pi$
$72$	3.17521	+	7.86880i	0.374202	+	0.927347i
$73$	1.56692	−	8.88643i	0.183394	−	1.04008i	−0.744608	−	0.667502i	$-0.767364\pi$
$73$	1.56692	−	8.88643i	0.183394	−	1.04008i	0.928002	−	0.372576i	$-0.121525\pi$
$74$	8.05990	+	2.12393i	0.936945	+	0.246902i
$75$	−2.35143	+	3.78241i	−0.271520	+	0.436755i
$76$	−4.04992	−	7.71999i	−0.464557	−	0.885543i
$77$	2.22264	−	1.28324i	0.253293	−	0.146239i
$78$	3.75405	+	15.7959i	0.425063	+	1.78853i
$79$	−6.78987	+	8.09186i	−0.763921	+	0.910405i	−0.998089	−	0.0617909i	$-0.980319\pi$
$79$	−6.78987	+	8.09186i	−0.763921	+	0.910405i	0.234169	+	0.972196i	$0.424763\pi$
$80$	−2.22871	−	5.82159i	−0.249177	−	0.650873i
$81$	6.08345	+	6.63262i	0.675939	+	0.736958i
$82$	−0.0679072	−	0.740852i	−0.00749910	−	0.0818134i
$83$	4.95989			0.544419			0.272209	−	0.962238i	$-0.412246\pi$
$83$	4.95989			0.544419			0.272209	+	0.962238i	$0.412246\pi$
$84$	−2.40056	−	2.11592i	−0.261922	−	0.230866i
$85$	0.624099	+	3.53944i	0.0676931	+	0.383907i
$86$	0.773148	+	8.43487i	0.0833707	+	0.909555i
$87$	7.36683	−	3.93877i	0.789807	−	0.422281i
$88$	1.93947	−	7.61520i	0.206748	−	0.811783i
$89$	4.70122	−	0.828952i	0.498328	−	0.0878687i	0.0811656	−	0.996701i	$-0.474136\pi$
$89$	4.70122	−	0.828952i	0.498328	−	0.0878687i	0.417162	+	0.908832i	$0.363025\pi$
$90$	−4.38114	−	4.95186i	−0.461813	−	0.521972i
$91$	−3.93569	−	4.69038i	−0.412573	−	0.491685i
$92$	−11.9630	−	14.0196i	−1.24723	−	1.46165i
$93$	4.76432	−	5.31584i	0.494037	−	0.551227i
$94$	4.09940	−	1.93228i	0.422821	−	0.199299i
$95$	4.98476	+	4.61477i	0.511426	+	0.473465i
$96$	−9.77015	+	0.737629i	−0.997162	+	0.0752840i
$97$	0.862927	−	4.89390i	0.0876170	−	0.496900i	−0.909144	−	0.416481i	$-0.863263\pi$
$97$	0.862927	−	4.89390i	0.0876170	−	0.496900i	0.996761	−	0.0804190i	$-0.0256258\pi$
$98$	−8.40577	−	2.21507i	−0.849111	−	0.223756i
$99$	−0.909361	−	8.28522i	−0.0913942	−	0.832696i
$100$	−3.33819	−	3.91207i	−0.333819	−	0.391207i
$101$	6.30923	−	17.3345i	0.627792	−	1.72484i	−0.0592682	−	0.998242i	$-0.518877\pi$
$101$	6.30923	−	17.3345i	0.627792	−	1.72484i	0.687060	−	0.726601i	$-0.258901\pi$
$102$	5.61130	+	0.652334i	0.555602	+	0.0645907i
$103$			5.98769i			0.589985i	0.955500	+	0.294992i	$0.0953171\pi$
$103$			5.98769i			0.589985i	−0.955500	+	0.294992i	$0.904683\pi$
$104$	−18.6950	−	1.40192i	−1.83320	−	0.137470i
$105$	2.31400	+	0.928734i	0.225824	+	0.0906351i
$106$	3.59760	+	7.63244i	0.349430	+	0.741328i
$107$	1.86630	+	3.23252i	0.180422	+	0.312499i	0.942024	−	0.335545i	$-0.108920\pi$
$107$	1.86630	+	3.23252i	0.180422	+	0.312499i	−0.761603	+	0.648044i	$0.775587\pi$
$108$	−9.42860	+	4.37053i	−0.907267	+	0.420555i
$109$	−7.04749	−	5.91355i	−0.675028	−	0.566415i	0.239521	−	0.970891i	$-0.423010\pi$
$109$	−7.04749	−	5.91355i	−0.675028	−	0.566415i	−0.914549	+	0.404476i	$0.867454\pi$
$110$	0.558916	+	6.09764i	0.0532905	+	0.581387i
$111$	−2.09946	+	9.99009i	−0.199272	+	0.948217i
$112$	3.16894	−	1.90023i	0.299437	−	0.179555i
$113$	3.09693	−	1.78802i	0.291335	−	0.168202i	−0.347209	−	0.937788i	$-0.612870\pi$
$113$	3.09693	−	1.78802i	0.291335	−	0.168202i	0.638544	+	0.769586i	$0.279537\pi$
$114$	9.19247	−	5.43126i	0.860953	−	0.508684i
$115$	12.4367	+	7.18034i	1.15973	+	0.669570i
$116$	1.75359	+	9.48527i	0.162817	+	0.880685i
$117$	−19.0890	+	5.56884i	−1.76478	+	0.514839i
$118$	2.14775	+	3.04044i	0.197716	+	0.279895i
$119$	−2.00191	+	0.728634i	−0.183514	+	0.0667938i
$120$	6.98302	−	3.08618i	0.637460	−	0.281728i
$121$	1.64045	−	2.84135i	0.149132	−	0.258304i
$122$	1.63447	−	19.6169i	0.147978	−	1.77603i
$123$	0.901997	−	0.128884i	0.0813303	−	0.0116210i
$124$	4.18031	+	7.10405i	0.375403	+	0.637962i
$125$	10.2185	+	5.89963i	0.913967	+	0.527679i
$126$	2.43969	−	3.06718i	0.217345	−	0.273246i
$127$	16.6675	−	2.93892i	1.47900	−	0.260787i	0.624821	−	0.780768i	$-0.285172\pi$
$127$	16.6675	−	2.93892i	1.47900	−	0.260787i	0.854178	+	0.519981i	$0.174061\pi$
$128$	2.61039	−	11.0084i	0.230728	−	0.973018i
$129$	−10.2696	+	1.46739i	−0.904185	+	0.129196i
$130$	14.0946	−	3.83923i	1.23618	−	0.336723i
$131$	−12.9688	−	10.8821i	−1.13309	−	0.950777i	−0.133901	−	0.990995i	$-0.542750\pi$
$131$	−12.9688	−	10.8821i	−1.13309	−	0.950777i	−0.999191	+	0.0402176i	$0.987195\pi$
$132$	9.43473	+	1.90133i	0.821187	+	0.165490i
$133$	−2.18078	+	3.38485i	−0.189098	+	0.293504i
$134$	20.2385	+	1.68626i	1.74834	+	0.145670i
$135$	5.78606	−	5.66520i	0.497985	−	0.487583i
$136$	−2.68312	+	5.94563i	−0.230076	+	0.509833i
$137$	7.30728	−	1.28847i	0.624303	−	0.110081i	0.147457	−	0.989068i	$-0.452891\pi$
$137$	7.30728	−	1.28847i	0.624303	−	0.110081i	0.476846	+	0.878987i	$0.341780\pi$
$138$	16.4086	−	15.5000i	1.39680	−	1.31945i
$139$	−9.16881	−	10.9270i	−0.777688	−	0.926812i	0.221139	−	0.975242i	$-0.429023\pi$
$139$	−9.16881	−	10.9270i	−0.777688	−	0.926812i	−0.998827	+	0.0484299i	$0.984578\pi$
$140$	−1.83237	+	2.22081i	−0.154863	+	0.187692i
$141$	2.61707	+	4.89480i	0.220397	+	0.412217i
$142$	7.47548	+	10.5826i	0.627328	+	0.888071i
$143$	17.3048	+	6.29845i	1.44710	+	0.526703i
$144$	−1.50652	−	11.9051i	−0.125544	−	0.992088i
$145$	−3.75810	−	6.50922i	−0.312093	−	0.540561i
$146$	−5.34519	+	11.5878i	−0.442371	+	0.959011i
$147$	2.18955	−	10.4188i	0.180591	−	0.859327i
$148$	−10.2568	−	5.80906i	−0.843100	−	0.477502i
$149$	2.42366	+	6.65894i	0.198554	+	0.545522i	0.998512	−	0.0545339i	$-0.0173673\pi$
$149$	2.42366	+	6.65894i	0.198554	+	0.545522i	−0.799958	+	0.600056i	$0.795145\pi$
$150$	4.57871	−	4.32517i	0.373850	−	0.353149i
$151$	12.5306	+	7.23454i	1.01973	+	0.588739i	0.914024	−	0.405659i	$-0.132958\pi$
$151$	12.5306	+	7.23454i	1.01973	+	0.588739i	0.105701	+	0.994398i	$0.466291\pi$
$152$	2.75634	+	12.0168i	0.223569	+	0.974688i
$153$	−0.450873	+	6.90399i	−0.0364509	+	0.558154i
$154$	−3.50196	+	0.953900i	−0.282196	+	0.0768675i
$155$	−4.92012	−	4.12847i	−0.395193	−	0.331606i
$156$	0.558551	−	22.9541i	0.0447198	−	1.83780i
$157$	1.64561	−	9.33269i	0.131334	−	0.744830i	−0.846009	−	0.533168i	$-0.821001\pi$
$157$	1.64561	−	9.33269i	0.131334	−	0.744830i	0.977343	−	0.211662i	$-0.0678875\pi$
$158$	12.2014	−	8.61899i	0.970691	−	0.685690i
$159$	−9.11335	+	4.87257i	−0.722736	+	0.386420i
$160$	0.949911	+	8.76435i	0.0750970	+	0.692882i
$161$	−2.91139	+	7.99899i	−0.229450	+	0.630409i
$162$	−5.92910	−	11.2626i	−0.465834	−	0.884872i
$163$	−3.45838	−	1.99670i	−0.270881	−	0.156393i	0.358407	−	0.933565i	$-0.383320\pi$
$163$	−3.45838	−	1.99670i	−0.270881	−	0.156393i	−0.629288	+	0.777172i	$0.716653\pi$
$164$	−0.174114	+	1.03761i	−0.0135960	+	0.0810236i
$165$	−7.42396	+	1.06079i	−0.577954	+	0.0825821i
$166$	−6.78279	−	1.78739i	−0.526447	−	0.138728i
$167$	11.0372	+	4.01722i	0.854086	+	0.310862i	0.731705	−	0.681621i	$-0.238725\pi$
$167$	11.0372	+	4.01722i	0.854086	+	0.310862i	0.122381	+	0.992483i	$0.460947\pi$
$168$	2.52032	+	3.75867i	0.194447	+	0.289987i
$169$	5.37158	−	30.4637i	0.413198	−	2.34336i
$170$	0.422029	−	5.06520i	0.0323681	−	0.388483i
$171$	7.21196	+	10.9081i	0.551512	+	0.834167i
$172$	1.98235	−	11.8135i	0.151153	−	0.900774i
$173$	−1.66408	−	0.293422i	−0.126517	−	0.0223084i	0.110031	−	0.993928i	$-0.464905\pi$
$173$	−1.66408	−	0.293422i	−0.126517	−	0.0223084i	−0.236548	+	0.971620i	$0.576016\pi$
$174$	−11.4938	+	2.73161i	−0.871339	+	0.207083i
$175$	−0.812403	+	2.23206i	−0.0614119	+	0.168728i
$176$	−5.39655	+	9.71508i	−0.406780	+	0.732302i
$177$	−3.58618	+	2.81514i	−0.269554	+	0.211599i
$178$	−6.72778	−	0.560554i	−0.504268	−	0.0420153i
$179$	9.24340	−	16.0100i	0.690884	−	1.19665i	−0.280665	−	0.959806i	$-0.590555\pi$
$179$	9.24340	−	16.0100i	0.690884	−	1.19665i	0.971549	−	0.236840i	$-0.0761117\pi$
$180$	4.20684	+	8.35063i	0.313560	+	0.622419i
$181$	2.09610	+	0.762920i	0.155802	+	0.0567074i	0.418744	−	0.908104i	$-0.362470\pi$
$181$	2.09610	+	0.762920i	0.155802	+	0.0567074i	−0.262942	+	0.964812i	$0.584693\pi$
$182$	3.69191	+	7.83252i	0.273663	+	0.580585i
$183$	24.0961	+	0.785976i	1.78124	+	0.0581010i
$184$	11.3075	+	23.4833i	0.833603	+	1.73121i
$185$	9.04535	+	1.59494i	0.665027	+	0.117262i
$186$	−8.43100	+	5.55266i	−0.618191	+	0.407141i
$187$	4.11864	−	4.90840i	0.301185	−	0.358938i
$188$	−6.30238	+	1.16515i	−0.459648	+	0.0849776i
$189$	3.90261	+	2.79448i	0.283873	+	0.203269i
$190$	−5.15379	−	8.10718i	−0.373895	−	0.588156i
$191$	−1.83482	+	3.17800i	−0.132763	+	0.229952i	−0.924741	−	0.380598i	$-0.875718\pi$
$191$	−1.83482	+	3.17800i	−0.132763	+	0.229952i	0.791978	+	0.610550i	$0.209052\pi$
$192$	13.6268	+	2.51212i	0.983428	+	0.181297i
$193$	−7.02060	+	2.55529i	−0.505354	+	0.183934i	−0.582100	−	0.813117i	$-0.697769\pi$
$193$	−7.02060	+	2.55529i	−0.505354	+	0.183934i	0.0767467	+	0.997051i	$0.475547\pi$
$194$	−2.94368	+	6.38158i	−0.211344	+	0.458171i
$195$	5.56781	+	17.0028i	0.398719	+	1.21760i
$196$	10.6969	+	6.05834i	0.764063	+	0.432739i
$197$	8.74347	−	5.04805i	0.622947	−	0.359658i	−0.155069	−	0.987904i	$-0.549560\pi$
$197$	8.74347	−	5.04805i	0.622947	−	0.359658i	0.778015	+	0.628245i	$0.216227\pi$
$198$	−1.74215	+	11.6580i	−0.123809	+	0.828497i
$199$	2.36247	−	6.49084i	0.167471	−	0.460124i	−0.827359	−	0.561673i	$-0.810158\pi$
$199$	2.36247	−	6.49084i	0.167471	−	0.460124i	0.994830	+	0.101550i	$0.0323801\pi$
$200$	3.15529	+	6.55285i	0.223112	+	0.463356i
$201$	−0.810879	+	24.8596i	−0.0571950	+	1.75346i
$202$	−14.8748	+	21.4317i	−1.04659	+	1.50793i
$203$	3.41292	−	2.86378i	0.239540	−	0.200998i
$204$	−7.43853	−	2.91422i	−0.520802	−	0.204036i
$205$	−0.142359	−	0.807356i	−0.00994276	−	0.0563882i
$206$	2.15777	−	8.18834i	0.150339	−	0.570509i
$207$	19.9742	+	19.1121i	1.38830	+	1.32838i
$208$	25.0608	+	8.65426i	1.73765	+	0.600065i
$209$	0.590058	−	12.0961i	0.0408152	−	0.836702i
$210$	−2.82978	−	2.10396i	−0.195273	−	0.145187i
$211$	13.0273	−	15.5253i	0.896833	−	1.06880i	−0.100435	−	0.994944i	$-0.532024\pi$
$211$	13.0273	−	15.5253i	0.896833	−	1.06880i	0.997269	−	0.0738607i	$-0.0235320\pi$
$212$	−2.16933	−	11.7340i	−0.148990	−	0.805897i
$213$	−12.4821	+	9.79839i	−0.855259	+	0.671375i
$214$	−1.38732	−	5.09312i	−0.0948350	−	0.348158i
$215$	1.62081	+	9.19204i	0.110538	+	0.626892i
$216$	14.4689	−	2.57906i	0.984482	−	0.175483i
$217$	1.90356	−	3.29706i	0.129222	−	0.223819i
$218$	7.50660	+	10.6266i	0.508411	+	0.719727i
$219$	−14.5046	−	5.82145i	−0.980127	−	0.393377i
$220$	1.43306	−	8.54012i	0.0966170	−	0.575774i
$221$	−13.2383	−	7.64314i	−0.890505	−	0.514133i
$222$	6.47118	−	12.9052i	0.434317	−	0.866138i
$223$	7.95864	+	21.8662i	0.532950	+	1.46427i	0.855544	+	0.517730i	$0.173223\pi$
$223$	7.95864	+	21.8662i	0.532950	+	1.46427i	−0.322594	+	0.946537i	$0.604555\pi$
$224$	−5.01840	+	1.45663i	−0.335306	+	0.0973251i
$225$	5.57366	+	5.33309i	0.371577	+	0.355540i
$226$	−4.87949	+	1.32913i	−0.324579	+	0.0884122i
$227$	−3.46465	+	6.00095i	−0.229957	+	0.398297i	−0.957795	−	0.287452i	$-0.907192\pi$
$227$	−3.46465	+	6.00095i	−0.229957	+	0.398297i	0.727838	+	0.685749i	$0.240525\pi$
$228$	−14.5282	+	4.11473i	−0.962155	+	0.272504i
$229$	1.22633	+	2.12406i	0.0810380	+	0.140362i	0.903696	−	0.428175i	$-0.140843\pi$
$229$	1.22633	+	2.12406i	0.0810380	+	0.140362i	−0.822658	+	0.568537i	$0.807510\pi$
$230$	−14.4200	−	14.3011i	−0.950826	−	0.942987i
$231$	−1.38339	−	4.22454i	−0.0910201	−	0.277954i
$232$	1.02010	−	13.6033i	0.0669730	−	0.893102i
$233$	16.9594	−	20.2114i	1.11105	−	1.32409i	0.170144	−	0.985419i	$-0.445577\pi$
$233$	16.9594	−	20.2114i	1.11105	−	1.32409i	0.940903	−	0.338676i	$-0.109979\pi$
$234$	28.1116	−	0.736469i	1.83771	−	0.0481445i
$235$	4.32497	−	2.49702i	0.282130	−	0.162888i
$236$	−1.84143	−	4.93187i	−0.119867	−	0.321038i
$237$	11.2972	+	14.3915i	0.733834	+	0.934826i
$238$	3.00024	−	0.275005i	0.194477	−	0.0178259i
$239$	−12.3262			−0.797318			−0.398659	−	0.917099i	$-0.630524\pi$
$239$	−12.3262			−0.797318			−0.398659	+	0.917099i	$0.630524\pi$
$240$	−10.6616	+	1.70398i	−0.688206	+	0.109991i
$241$	−14.2999	−	5.20472i	−0.921134	−	0.335266i	−0.162445	−	0.986718i	$-0.551938\pi$
$241$	−14.2999	−	5.20472i	−0.921134	−	0.335266i	−0.758690	+	0.651452i	$0.774160\pi$
$242$	−3.26730	+	3.29446i	−0.210030	+	0.211776i
$243$	13.4095	−	7.94895i	0.860219	−	0.509925i
$244$	−9.30449	+	26.2377i	−0.595659	+	1.67969i
$245$	−9.43350	−	1.66338i	−0.602684	−	0.106269i
$246$	−1.27995	−	0.148799i	−0.0816068	−	0.00948709i
$247$	−28.6636	+	3.62475i	−1.82382	+	0.230637i
$248$	−3.15663	−	11.2214i	−0.200446	−	0.712562i
$249$	1.76679	−	8.40714i	0.111966	−	0.532781i
$250$	−11.8480	−	11.7503i	−0.749334	−	0.743156i
$251$	12.4729	−	10.4660i	0.787281	−	0.660607i	−0.157790	−	0.987473i	$-0.550437\pi$
$251$	12.4729	−	10.4660i	0.787281	−	0.660607i	0.945071	+	0.326865i	$0.105992\pi$
$252$	−4.44166	+	3.31528i	−0.279798	+	0.208843i
$253$	−4.44578	−	25.2133i	−0.279504	−	1.58514i
$254$	−23.8523	−	1.98736i	−1.49663	−	0.124698i
$255$	6.22176	+	0.202944i	0.389622	+	0.0127088i
$256$	−7.53687	+	14.1137i	−0.471054	+	0.882104i
$257$	8.50189	−	1.49911i	0.530334	−	0.0935121i	0.0979317	−	0.995193i	$-0.468777\pi$
$257$	8.50189	−	1.49911i	0.530334	−	0.0935121i	0.432402	+	0.901681i	$0.357666\pi$
$258$	14.5727	+	1.69413i	0.907258	+	0.105472i
$259$			5.44438i			0.338297i
$260$	−20.6583	+	0.171018i	−1.28117	+	0.0106061i
$261$	−4.05213	−	13.8900i	−0.250821	−	0.859770i
$262$	13.8137	+	19.5552i	0.853412	+	1.20812i
$263$	17.5461	+	14.7229i	1.08194	+	0.907856i	0.996080	−	0.0884517i	$-0.0281919\pi$
$263$	17.5461	+	14.7229i	1.08194	+	0.907856i	0.0858597	+	0.996307i	$0.472636\pi$
$264$	−12.2171	−	6.00010i	−0.751909	−	0.369281i
$265$	4.64907	+	8.05242i	0.285590	+	0.494656i
$266$	4.20207	−	3.84300i	0.257645	−	0.235629i
$267$	0.269557	−	8.26397i	0.0164966	−	0.505747i
$268$	−27.0690	−	9.59930i	−1.65350	−	0.586370i
$269$	−0.983121	−	0.173351i	−0.0599420	−	0.0105694i	0.143597	−	0.989636i	$-0.454133\pi$
$269$	−0.983121	−	0.173351i	−0.0599420	−	0.0105694i	−0.203539	+	0.979067i	$0.565244\pi$
$270$	−9.95416	+	5.66221i	−0.605791	+	0.344591i
$271$	8.24020	−	9.82029i	0.500557	−	0.596540i	−0.455313	−	0.890331i	$-0.650473\pi$
$271$	8.24020	−	9.82029i	0.500557	−	0.596540i	0.955870	+	0.293791i	$0.0949171\pi$
$272$	5.81186	−	7.16391i	0.352396	−	0.434376i
$273$	−9.35226	+	5.00031i	−0.566025	+	0.302632i
$274$	−10.4572	−	0.871290i	−0.631745	−	0.0526365i
$275$	−1.24056	−	7.03557i	−0.0748087	−	0.424261i
$276$	−28.0250	+	15.2836i	−1.68691	+	0.919964i
$277$	4.50871	+	7.80931i	0.270902	+	0.469216i	0.969093	−	0.246695i	$-0.0793447\pi$
$277$	4.50871	+	7.80931i	0.270902	+	0.469216i	−0.698191	+	0.715911i	$0.746011\pi$
$278$	8.60088	+	18.2471i	0.515846	+	1.09439i
$279$	−7.31336	−	9.96922i	−0.437839	−	0.596842i
$280$	3.30612	−	2.37669i	0.197579	−	0.142035i
$281$	17.3218	−	3.05430i	1.03333	−	0.182204i	0.368834	−	0.929495i	$-0.379757\pi$
$281$	17.3218	−	3.05430i	1.03333	−	0.182204i	0.664497	+	0.747291i	$0.268646\pi$
$282$	−1.81499	−	7.63689i	−0.108081	−	0.454770i
$283$	−13.7683	+	16.4084i	−0.818441	+	0.975380i	−0.999968	−	0.00800637i	$-0.997451\pi$
$283$	−13.7683	+	16.4084i	−0.818441	+	0.975380i	0.181527	+	0.983386i	$0.441896\pi$
$284$	−6.40930	−	17.1659i	−0.380322	−	1.01861i
$285$	9.59780	−	6.80544i	0.568525	−	0.403120i
$286$	−21.3951	−	14.8494i	−1.26512	−	0.878065i
$287$	0.456640	−	0.166203i	0.0269546	−	0.00981068i
$288$	−2.22999	+	16.8234i	−0.131403	+	0.991329i
$289$	8.94839	−	7.50859i	0.526376	−	0.441682i
$290$	2.79359	+	10.2558i	0.164045	+	0.602244i
$291$	−7.98790	−	3.20597i	−0.468259	−	0.187937i
$292$	11.4856	−	13.9204i	0.672142	−	0.814629i
$293$			17.6678i			1.03216i	0.856540	+	0.516081i	$0.172610\pi$
$293$			17.6678i			1.03216i	−0.856540	+	0.516081i	$0.827390\pi$
$294$	−6.74887	+	13.4589i	−0.393602	+	0.784941i
$295$	2.63675	+	3.14236i	0.153518	+	0.182955i
$296$	11.9330	+	11.6403i	0.693592	+	0.676577i
$297$	−14.3676	−	1.40994i	−0.833692	−	0.0818132i
$298$	−0.914750	−	9.97970i	−0.0529900	−	0.578109i
$299$	−57.3956	+	20.8903i	−3.31928	+	1.20812i
$300$	−7.82017	+	4.26477i	−0.451498	+	0.246227i
$301$	−5.19901	+	1.89229i	−0.299666	+	0.109070i
$302$	−14.5288	−	14.4091i	−0.836041	−	0.829149i
$303$	−27.1349	−	16.8691i	−1.55886	−	0.969105i
$304$	0.561083	−	17.4266i	0.0321803	−	0.999482i
$305$		−	21.6919i		−	1.24208i
$306$	3.10456	−	9.27892i	0.177476	−	0.530441i
$307$	−19.3822	−	3.41760i	−1.10620	−	0.195053i	−0.409426	−	0.912344i	$-0.634271\pi$
$307$	−19.3822	−	3.41760i	−1.10620	−	0.195053i	−0.696774	+	0.717291i	$0.745382\pi$
$308$	5.13279	−	0.0424914i	0.292468	−	0.00242117i
$309$	10.1493	+	2.13291i	0.577373	+	0.121337i
$310$	5.24063	+	7.41885i	0.297648	+	0.421362i
$311$	4.90302	−	8.49229i	0.278025	−	0.481553i	−0.692869	−	0.721064i	$-0.743654\pi$
$311$	4.90302	−	8.49229i	0.278025	−	0.481553i	0.970894	+	0.239510i	$0.0769869\pi$
$312$	−9.03577	+	31.1891i	−0.511550	+	1.76574i
$313$	−17.2879	+	14.5062i	−0.977168	+	0.819942i	−0.983660	−	0.180037i	$-0.942378\pi$
$313$	−17.2879	+	14.5062i	−0.977168	+	0.819942i	0.00649137	+	0.999979i	$0.497934\pi$
$314$	−5.61362	+	12.1697i	−0.316795	+	0.686776i
$315$	2.39851	−	3.59147i	0.135141	−	0.202356i
$316$	−19.7918	+	7.38973i	−1.11337	+	0.415705i
$317$	−4.66484	+	12.8166i	−0.262004	+	0.719849i	0.737028	+	0.675862i	$0.236228\pi$
$317$	−4.66484	+	12.8166i	−0.262004	+	0.719849i	−0.999032	+	0.0439874i	$0.985994\pi$
$318$	14.2187	−	3.37922i	0.797345	−	0.189497i
$319$	−4.58303	+	12.5918i	−0.256600	+	0.705003i
$320$	1.85936	−	12.3278i	0.103941	−	0.689146i
$321$	6.14400	−	2.01194i	0.342925	−	0.112296i
$322$	6.86399	−	9.88967i	0.382515	−	0.551130i
$323$	−2.22590	+	9.80310i	−0.123853	+	0.545459i
$324$	4.04954	+	17.5386i	0.224975	+	0.974365i
$325$	−16.0158	+	5.82928i	−0.888398	+	0.323351i
$326$	4.00989	+	3.97683i	0.222087	+	0.220256i
$327$	−12.5340	+	9.83918i	−0.693134	+	0.544108i
$328$	0.612027	−	1.35621i	0.0337936	−	0.0748844i
$329$	1.90281	+	2.26768i	0.104905	+	0.125021i
$330$	10.5348	+	1.22470i	0.579919	+	0.0674177i
$331$	4.35892	−	2.51662i	0.239588	−	0.138326i	−0.375399	−	0.926863i	$-0.622494\pi$
$331$	4.35892	−	2.51662i	0.239588	−	0.138326i	0.614987	+	0.788537i	$0.289161\pi$
$332$	8.63155	+	4.88860i	0.473718	+	0.268297i
$333$	16.1856	+	7.11727i	0.886965	+	0.390024i
$334$	−13.6460	−	9.47113i	−0.746678	−	0.518237i
$335$	22.3792			1.22271
$336$	−2.09210	−	6.04833i	−0.114134	−	0.329963i
$337$	4.24028	−	24.0478i	0.230983	−	1.30997i	−0.619928	−	0.784658i	$-0.712838\pi$
$337$	4.24028	−	24.0478i	0.230983	−	1.30997i	0.850911	−	0.525310i	$-0.176050\pi$
$338$	−18.3239	+	39.7243i	−0.996691	+	2.16072i
$339$	−1.92755	−	5.88630i	−0.104690	−	0.319700i
$340$	−2.40247	+	6.77472i	−0.130292	+	0.367411i
$341$			11.4505i			0.620079i
$342$	−5.93161	−	17.5162i	−0.320745	−	0.947166i
$343$		−	12.1443i		−	0.655729i
$344$	−6.96815	+	15.4410i	−0.375698	+	0.832522i
$345$	16.6010	−	18.5228i	0.893768	−	0.997233i
$346$	2.16993	+	1.00094i	0.116656	+	0.0538110i
$347$	1.13690	−	6.44768i	0.0610320	−	0.346130i	−0.938966	−	0.344011i	$-0.888214\pi$
$347$	1.13690	−	6.44768i	0.0610320	−	0.346130i	0.999998	−	0.00211914i	$-0.000674545\pi$
$348$	16.7024	+	0.406426i	0.895344	+	0.0217867i
$349$	−29.3532			−1.57124			−0.785620	−	0.618709i	$-0.787656\pi$
$349$	−29.3532			−1.57124			−0.785620	+	0.618709i	$0.787656\pi$
$350$	1.91535	−	2.75964i	0.102380	−	0.147509i
$351$	2.63950	+	34.3401i	0.140886	+	1.83294i
$352$	10.8809	−	11.3409i	0.579956	−	0.604472i
$353$	−6.38333	+	3.68542i	−0.339750	+	0.196155i	−0.660162	−	0.751124i	$-0.729512\pi$
$353$	−6.38333	+	3.68542i	−0.339750	+	0.196155i	0.320411	+	0.947279i	$0.396179\pi$
$354$	5.91869	−	2.55744i	0.314575	−	0.135926i
$355$	9.17751	+	10.9373i	0.487091	+	0.580493i
$356$	8.99842	+	3.19105i	0.476916	+	0.169125i
$357$	0.521942	+	3.65283i	0.0276241	+	0.193328i
$358$	−18.4101	+	18.5632i	−0.973005	+	0.981093i
$359$	0.0856158	−	0.0311616i	0.00451863	−	0.00164465i	−0.339760	−	0.940512i	$-0.610346\pi$
$359$	0.0856158	−	0.0311616i	0.00451863	−	0.00164465i	0.344278	+	0.938868i	$0.388124\pi$
$360$	−2.74368	−	12.9357i	−0.144605	−	0.681774i
$361$	7.85337	+	17.3010i	0.413335	+	0.910579i
$362$	−2.59155	−	1.79868i	−0.136209	−	0.0945367i
$363$	−4.23180	−	3.79274i	−0.222112	−	0.199067i
$364$	−2.22620	−	12.0416i	−0.116685	−	0.631154i
$365$	−4.80959	+	13.2142i	−0.251745	+	0.691665i
$366$	−32.6689	−	9.75833i	−1.70763	−	0.510076i
$367$	10.7034	−	29.4074i	0.558713	−	1.53505i	−0.262793	−	0.964852i	$-0.584644\pi$
$367$	10.7034	−	29.4074i	0.558713	−	1.53505i	0.821506	−	0.570200i	$-0.193134\pi$
$368$	−7.00075	−	36.1890i	−0.364939	−	1.88648i
$369$	0.102845	−	1.57482i	0.00535391	−	0.0819818i
$370$	−11.7950	−	5.44078i	−0.613193	−	0.282853i
$371$	−4.22206	+	3.54273i	−0.219198	+	0.183929i
$372$	13.5306	−	4.55516i	0.701531	−	0.236174i
$373$	−5.94496	+	10.2970i	−0.307819	+	0.533157i	−0.977885	−	0.209144i	$-0.932932\pi$
$373$	−5.94496	+	10.2970i	−0.307819	+	0.533157i	0.670066	+	0.742301i	$0.266266\pi$
$374$	−7.40119	+	5.22815i	−0.382706	+	0.270341i
$375$	13.6400	−	15.2190i	0.704367	−	0.785906i
$376$	9.03857	+	0.677795i	0.466128	+	0.0349546i
$377$	31.4824	+	5.55119i	1.62143	+	0.285901i
$378$	−4.32990	−	5.22791i	−0.222706	−	0.268895i
$379$			9.53183i			0.489617i	0.969571	+	0.244809i	$0.0787251\pi$
$379$			9.53183i			0.489617i	−0.969571	+	0.244809i	$0.921275\pi$
$380$	4.12639	+	12.9441i	0.211679	+	0.664016i
$381$	0.955674	−	29.2987i	0.0489607	−	1.50102i
$382$	3.65442	−	3.68480i	0.186977	−	0.188531i
$383$	27.5194	−	10.0162i	1.40618	−	0.511806i	0.476171	−	0.879353i	$-0.342024\pi$
$383$	27.5194	−	10.0162i	1.40618	−	0.511806i	0.930005	+	0.367547i	$0.119802\pi$
$384$	−17.7297	−	8.34606i	−0.904766	−	0.425908i
$385$	−3.75841	+	1.36795i	−0.191546	+	0.0697172i
$386$	10.5217	−	0.964431i	0.535541	−	0.0490882i
$387$	−1.17093	+	17.9299i	−0.0595218	+	0.911427i
$388$	6.32529	−	7.66618i	0.321118	−	0.389192i
$389$	5.81882	+	6.93460i	0.295026	+	0.351598i	0.893113	−	0.449833i	$-0.148517\pi$
$389$	5.81882	+	6.93460i	0.295026	+	0.351598i	−0.598087	+	0.801432i	$0.704072\pi$
$390$	−1.48687	−	25.2583i	−0.0752906	−	1.27900i
$391$			21.2519i			1.07475i
$392$	−12.4451	−	12.1398i	−0.628571	−	0.613151i
$393$	−23.0652	+	18.1061i	−1.16349	+	0.913332i
$394$	−13.7761	+	3.75248i	−0.694030	+	0.189047i
$395$	12.6104	−	10.5814i	0.634498	−	0.532407i
$396$	6.58361	−	15.3148i	0.330839	−	0.769598i
$397$	−8.11706	+	2.95437i	−0.407384	+	0.148276i	−0.537580	−	0.843213i	$-0.680661\pi$
$397$	−8.11706	+	2.95437i	−0.407384	+	0.148276i	0.130196	+	0.991488i	$0.458439\pi$
$398$	−5.56984	+	8.02505i	−0.279191	+	0.402260i
$399$	4.96058	+	4.90221i	0.248339	+	0.245418i
$400$	−1.95351	−	10.0983i	−0.0976754	−	0.504913i
$401$	2.44680	−	2.91598i	0.122187	−	0.145617i	−0.701483	−	0.712686i	$-0.747478\pi$
$401$	2.44680	−	2.91598i	0.122187	−	0.145617i	0.823670	+	0.567069i	$0.191923\pi$
$402$	10.0675	−	33.7040i	0.502122	−	1.68100i
$403$	26.9024	−	4.74362i	1.34010	−	0.236296i
$404$	28.0651	−	23.9481i	1.39629	−	1.19146i
$405$	−7.54157	−	11.8256i	−0.374743	−	0.587616i
$406$	−5.69929	+	2.68640i	−0.282851	+	0.133324i
$407$	−8.18741	−	14.1810i	−0.405835	−	0.702926i
$408$	9.12222	+	6.66589i	0.451617	+	0.330011i
$409$	1.92495	+	10.9169i	0.0951825	+	0.539807i	0.994691	+	0.102904i	$0.0328135\pi$
$409$	1.92495	+	10.9169i	0.0951825	+	0.539807i	−0.899509	+	0.436903i	$0.856075\pi$
$410$	−0.0962659	+	1.15538i	−0.00475423	+	0.0570604i
$411$	0.418982	−	12.8450i	0.0206669	−	0.633597i
$412$	−5.90164	+	10.4202i	−0.290753	+	0.513366i
$413$	−1.56295	+	1.86265i	−0.0769076	+	0.0916549i
$414$	−20.4279	−	33.3344i	−1.00398	−	1.63830i
$415$	−7.61209	−	1.34222i	−0.373663	−	0.0658869i
$416$	−31.1526	−	20.8661i	−1.52738	−	1.02304i
$417$	−21.7875	+	11.6490i	−1.06694	+	0.570454i
$418$	−5.16595	+	16.3291i	−0.252675	+	0.798681i
$419$	−4.74761	−	8.22311i	−0.231936	−	0.401725i	0.726442	−	0.687228i	$-0.241173\pi$
$419$	−4.74761	−	8.22311i	−0.231936	−	0.401725i	−0.958378	+	0.285503i	$0.907839\pi$
$420$	3.11161	+	3.89699i	0.151831	+	0.190154i
$421$	−10.0496	−	8.43265i	−0.489790	−	0.410982i	0.364161	−	0.931336i	$-0.381356\pi$
$421$	−10.0496	−	8.43265i	−0.489790	−	0.410982i	−0.853951	+	0.520354i	$0.825800\pi$
$422$	−23.4100	+	16.5367i	−1.13958	+	0.804992i
$423$	9.22906	−	2.69239i	0.448732	−	0.130909i
$424$	−1.26195	+	16.8284i	−0.0612856	+	0.817259i
$425$			5.93018i			0.287656i
$426$	20.6006	−	8.90143i	0.998104	−	0.431276i
$427$	12.6626	−	2.23276i	0.612788	−	0.108051i
$428$	0.0617979	+	7.46493i	0.00298711	+	0.360831i
$429$	16.8403	−	27.0885i	0.813057	−	1.30785i
$430$	1.09602	−	13.1545i	0.0528549	−	0.634365i
$431$	6.17077	+	34.9962i	0.297236	+	1.68571i	0.657975	+	0.753040i	$0.271413\pi$
$431$	6.17077	+	34.9962i	0.297236	+	1.68571i	−0.360739	+	0.932667i	$0.617476\pi$
$432$	−20.7160	−	1.68718i	−0.996700	−	0.0811745i
$433$	13.6868	−	11.4846i	0.657744	−	0.551913i	−0.251666	−	0.967814i	$-0.580978\pi$
$433$	13.6868	−	11.4846i	0.657744	−	0.551913i	0.909410	+	0.415901i	$0.136534\pi$
$434$	−3.79132	+	3.82284i	−0.181989	+	0.183502i
$435$	−12.3720	+	4.05138i	−0.593191	+	0.194249i
$436$	−6.43598	−	17.2374i	−0.308228	−	0.825521i
$437$	24.2891	+	31.9913i	1.16190	+	1.53035i
$438$	17.7375	+	13.1880i	0.847532	+	0.630146i
$439$	2.19392	+	0.386847i	0.104710	+	0.0184632i	0.225758	−	0.974184i	$-0.427514\pi$
$439$	2.19392	+	0.386847i	0.104710	+	0.0184632i	−0.121048	+	0.992647i	$0.538625\pi$
$440$	−5.03734	+	11.1624i	−0.240146	+	0.532148i
$441$	−16.8801	−	7.42268i	−0.803816	−	0.353461i
$442$	15.3494	+	15.2229i	0.730097	+	0.724078i
$443$	1.78605	+	0.650069i	0.0848578	+	0.0308857i	0.384100	−	0.923291i	$-0.374512\pi$
$443$	1.78605	+	0.650069i	0.0848578	+	0.0308857i	−0.299242	+	0.954177i	$0.596734\pi$
$444$	−13.5001	+	15.3162i	−0.640688	+	0.726873i
$445$	−7.43943			−0.352663
$446$	−3.00379	−	32.7707i	−0.142234	−	1.55174i
$447$	12.1504	−	1.73613i	0.574695	−	0.0821164i
$448$	7.38773	−	0.183510i	0.349037	−	0.00867003i
$449$	−15.2853	+	8.82496i	−0.721357	+	0.416476i	−0.815252	−	0.579107i	$-0.803402\pi$
$449$	−15.2853	+	8.82496i	−0.721357	+	0.416476i	0.0938950	+	0.995582i	$0.470068\pi$
$450$	−5.70026	−	9.30173i	−0.268713	−	0.438488i
$451$	−0.939472	+	1.11962i	−0.0442380	+	0.0527208i
$452$	7.15182	−	0.0592058i	0.336393	−	0.00278481i
$453$	16.7263	−	18.6626i	0.785871	−	0.876846i
$454$	6.90056	−	6.95793i	0.323860	−	0.326552i
$455$	4.77094	+	8.26352i	0.223665	+	0.387400i
$456$	21.3506	−	0.391499i	0.999832	−	0.0183336i
$457$	8.30445	−	14.3837i	0.388466	−	0.672842i	−0.603778	−	0.797153i	$-0.706339\pi$
$457$	8.30445	−	14.3837i	0.388466	−	0.672842i	0.992243	+	0.124311i	$0.0396719\pi$
$458$	−0.911594	−	3.34665i	−0.0425960	−	0.156379i
$459$	11.5418	+	3.22355i	0.538726	+	0.150463i
$460$	14.5661	+	24.7537i	0.679147	+	1.15415i
$461$	9.66396	+	26.5515i	0.450095	+	1.23663i	0.932657	+	0.360765i	$0.117484\pi$
$461$	9.66396	+	26.5515i	0.450095	+	1.23663i	−0.482562	+	0.875862i	$0.660294\pi$
$462$	0.369430	+	6.27571i	0.0171874	+	0.291972i
$463$	10.6965	+	6.17564i	0.497109	+	0.287006i	0.727519	−	0.686088i	$-0.240673\pi$
$463$	10.6965	+	6.17564i	0.497109	+	0.287006i	−0.230410	+	0.973094i	$0.574007\pi$
$464$	−6.29722	+	18.2353i	−0.292341	+	0.846553i
$465$	−8.75048	+	6.86909i	−0.405794	+	0.318547i
$466$	−30.4760	+	21.5281i	−1.41177	+	0.997269i
$467$	5.58533	−	9.67408i	0.258458	−	0.447663i	−0.707371	−	0.706843i	$-0.750119\pi$
$467$	5.58533	−	9.67408i	0.258458	−	0.447663i	0.965829	+	0.259180i	$0.0834522\pi$
$468$	−38.7089	−	9.12339i	−1.78932	−	0.421729i
$469$	2.30351	+	13.0638i	0.106366	+	0.603232i
$470$	−6.81437	+	1.85617i	−0.314324	+	0.0856187i
$471$	−15.2330	−	6.11380i	−0.701897	−	0.281709i
$472$	0.740921	+	7.40807i	0.0341036	+	0.340984i
$473$	10.6962	−	12.7473i	0.491813	−	0.586120i
$474$	−10.2631	−	23.7519i	−0.471399	−	1.09096i
$475$	6.77769	+	8.92693i	0.310982	+	0.409595i
$476$	−4.20202	−	0.705114i	−0.192599	−	0.0323188i
$477$	5.01281	+	17.1831i	0.229521	+	0.786758i
$478$	16.8565	+	4.44198i	0.770997	+	0.203172i
$479$	−0.0619290	−	0.351217i	−0.00282961	−	0.0160475i	0.983360	−	0.181666i	$-0.0581490\pi$
$479$	−0.0619290	−	0.351217i	−0.00282961	−	0.0160475i	−0.986190	+	0.165619i	$0.947038\pi$
$480$	15.1942	+	1.51188i	0.693515	+	0.0690076i
$481$	−29.9258	+	25.1107i	−1.36450	+	1.14495i
$482$	17.6798	+	12.2708i	0.805295	+	0.558920i
$483$	12.5214	+	7.78425i	0.569743	+	0.354196i
$484$	5.65534	−	3.32784i	0.257061	−	0.151265i
$485$	−2.64872	+	7.27730i	−0.120272	+	0.330445i
$486$	−21.2024	+	6.03806i	−0.961760	+	0.273892i
$487$	−6.34428	+	3.66287i	−0.287487	+	0.165981i	−0.636808	−	0.771022i	$-0.719746\pi$
$487$	−6.34428	+	3.66287i	−0.287487	+	0.165981i	0.349321	+	0.937003i	$0.386412\pi$
$488$	22.1794	−	32.5277i	1.00401	−	1.47246i
$489$	−4.61638	+	5.15078i	−0.208760	+	0.232926i
$490$	12.3012	+	5.67425i	0.555709	+	0.256337i
$491$	19.9588	−	7.26441i	0.900728	−	0.327838i	0.150183	−	0.988658i	$-0.452014\pi$
$491$	19.9588	−	7.26441i	0.900728	−	0.327838i	0.750544	+	0.660820i	$0.229791\pi$
$492$	1.69675	+	0.664741i	0.0764954	+	0.0299688i
$493$	5.56148	−	9.63277i	0.250477	−	0.433838i
$494$	40.5045	+	5.37250i	1.82238	+	0.241720i
$495$	−0.846477	+	12.9617i	−0.0380463	+	0.582584i
$496$	0.272929	+	16.4832i	0.0122549	+	0.740117i
$497$	−5.44000	+	6.48314i	−0.244017	+	0.290809i
$498$	−5.44581	+	10.8603i	−0.244032	+	0.486662i
$499$	−14.3357	−	2.52778i	−0.641756	−	0.113159i	−0.156706	−	0.987645i	$-0.550087\pi$
$499$	−14.3357	−	2.52778i	−0.641756	−	0.113159i	−0.485050	+	0.874487i	$0.661199\pi$
$500$	11.9680	+	20.3386i	0.535227	+	0.909568i
$501$	10.7409	−	17.2774i	0.479869	−	0.771896i
$502$	−20.8286	+	9.81771i	−0.929627	+	0.438186i
$503$	−35.1333	−	12.7875i	−1.56652	−	0.570166i	−0.594300	−	0.804243i	$-0.702571\pi$
$503$	−35.1333	−	12.7875i	−1.56652	−	0.570166i	−0.972218	+	0.234078i	$0.924793\pi$
$504$	7.26881	−	2.93310i	0.323779	−	0.130651i
$505$	−14.3739	+	24.8963i	−0.639631	+	1.10787i
$506$	−3.00633	+	36.0820i	−0.133647	+	1.60404i
$507$	−49.7233	−	19.9566i	−2.20829	−	0.886305i
$508$	31.9026	+	11.3134i	1.41545	+	0.501951i
$509$	3.96195	−	10.8854i	0.175610	−	0.482485i	−0.820393	−	0.571800i	$-0.806245\pi$
$509$	3.96195	−	10.8854i	0.175610	−	0.482485i	0.996003	+	0.0893145i	$0.0284676\pi$
$510$	−8.43530	−	2.51966i	−0.373521	−	0.111572i
$511$	−8.20885	−	1.44744i	−0.363138	−	0.0640310i
$512$	15.3930	−	16.5848i	0.680281	−	0.732951i
$513$	21.0586	−	8.33878i	0.929760	−	0.368166i
$514$	−12.1668	−	1.01373i	−0.536655	−	0.0447138i
$515$	1.62036	−	9.18949i	0.0714014	−	0.404937i
$516$	−19.3181	−	7.56832i	−0.850432	−	0.333177i
$517$	−8.36645	−	3.04514i	−0.367956	−	0.133925i
$518$	1.96198	−	7.44534i	0.0862045	−	0.327130i
$519$	−1.09013	+	2.71613i	−0.0478513	+	0.119225i
$520$	28.3124	+	7.21072i	1.24158	+	0.316211i
$521$	10.4089	+	6.00955i	0.456020	+	0.263283i	0.710369	−	0.703829i	$-0.248528\pi$
$521$	10.4089	+	6.00955i	0.456020	+	0.263283i	−0.254349	+	0.967112i	$0.581861\pi$
$522$	0.535887	+	20.4552i	0.0234551	+	0.895302i
$523$	−0.612547	+	1.68296i	−0.0267848	+	0.0735906i	−0.952364	−	0.304963i	$-0.901356\pi$
$523$	−0.612547	+	1.68296i	−0.0267848	+	0.0735906i	0.925580	+	0.378553i	$0.123578\pi$
$524$	−11.8435	−	31.7203i	−0.517387	−	1.38571i
$525$	3.49400	+	2.17214i	0.152491	+	0.0947999i
$526$	−18.6891	−	26.4571i	−0.814885	−	1.15358i
$527$	1.65049	−	9.36042i	0.0718967	−	0.407746i
$528$	14.5450	+	12.6080i	0.632988	+	0.548691i
$529$	47.4303	+	39.7987i	2.06219	+	1.73038i
$530$	−3.45590	−	12.6873i	−0.150115	−	0.551101i
$531$	3.49427	+	7.08146i	0.151638	+	0.307309i
$532$	−7.13134	+	3.74111i	−0.309183	+	0.162198i
$533$	3.01969	+	1.74342i	0.130797	+	0.0755159i
$534$	−3.34670	+	11.2041i	−0.144826	+	0.484848i
$535$	−1.98949	−	5.46609i	−0.0860133	−	0.236320i
$536$	33.5584	+	22.8821i	1.44950	+	0.988357i
$537$	−23.8448	−	21.3708i	−1.02898	−	0.922219i
$538$	1.28198	+	0.591348i	0.0552699	+	0.0254948i
$539$	8.53875	+	14.7895i	0.367790	+	0.637031i
$540$	15.6531	−	4.15608i	0.673601	−	0.178849i
$541$	−0.349822	−	0.127325i	−0.0150400	−	0.00547412i	0.334489	−	0.942400i	$-0.391436\pi$
$541$	−0.349822	−	0.127325i	−0.0150400	−	0.00547412i	−0.349529	+	0.936925i	$0.613658\pi$
$542$	−14.8076	+	10.4600i	−0.636042	+	0.449296i
$543$	2.03983	−	3.28119i	0.0875377	−	0.140809i
$544$	−10.5295	+	7.70244i	−0.451450	+	0.330239i
$545$	9.21571	+	10.9829i	0.394758	+	0.470454i
$546$	14.5914	−	3.46781i	0.624456	−	0.148409i
$547$	−36.8553	+	6.49858i	−1.57582	+	0.277859i	−0.892083	−	0.451871i	$-0.850757\pi$
$547$	−36.8553	+	6.49858i	−1.57582	+	0.277859i	−0.683735	+	0.729730i	$0.739646\pi$
$548$	13.9866	+	4.95997i	0.597477	+	0.211879i
$549$	9.91569	−	40.5636i	0.423191	−	1.73121i
$550$	−0.838893	+	10.0684i	−0.0357705	+	0.429318i
$551$	−2.63752	−	20.8569i	−0.112362	−	0.888533i
$552$	43.8327	−	10.8014i	1.86565	−	0.459739i
$553$	7.47486	+	6.27215i	0.317863	+	0.266719i
$554$	−3.35156	−	12.3043i	−0.142394	−	0.522758i
$555$	5.92556	−	14.7639i	0.251526	−	0.626695i
$556$	−5.18628	−	28.0529i	−0.219947	−	1.18971i
$557$	−36.9065	+	6.50761i	−1.56378	+	0.275736i	−0.887464	−	0.460876i	$-0.847535\pi$
$557$	−36.9065	+	6.50761i	−1.56378	+	0.275736i	−0.676315	+	0.736613i	$0.736424\pi$
$558$	6.40864	+	16.2687i	0.271299	+	0.688709i
$559$	−34.3803	−	19.8495i	−1.45413	−	0.839543i
$560$	−5.37770	+	2.05877i	−0.227249	+	0.0869991i
$561$	−6.85274	−	8.72965i	−0.289323	−	0.368566i
$562$	−24.7887	−	2.06538i	−1.04565	−	0.0871227i
$563$	−11.9058	+	20.6214i	−0.501769	+	0.869089i	0.498229	+	0.867045i	$0.333984\pi$
$563$	−11.9058	+	20.6214i	−0.501769	+	0.869089i	−0.999998	+	0.00204371i	$0.999349\pi$
$564$	−0.270045	+	11.0977i	−0.0113709	+	0.467299i
$565$	−5.23682	+	1.90605i	−0.220315	+	0.0801880i
$566$	24.7416	−	17.4773i	1.03997	−	0.734627i
$567$	6.12689	−	5.61959i	0.257305	−	0.236001i
$568$	2.57885	+	25.7846i	0.108206	+	1.08190i
$569$	−22.6542	−	13.0794i	−0.949715	−	0.548318i	−0.0567226	−	0.998390i	$-0.518065\pi$
$569$	−22.6542	−	13.0794i	−0.949715	−	0.548318i	−0.892992	+	0.450072i	$0.851398\pi$
$570$	−15.5777	+	5.84790i	−0.652479	+	0.244941i
$571$	7.20784	−	4.16145i	0.301639	−	0.174151i	−0.341540	−	0.939867i	$-0.610949\pi$
$571$	7.20784	−	4.16145i	0.301639	−	0.174151i	0.643179	+	0.765716i	$0.277615\pi$
$572$	23.9072	+	28.0171i	0.999609	+	1.17146i
$573$	4.73320	+	4.24213i	0.197732	+	0.177217i
$574$	−0.684363	+	0.0627294i	−0.0285648	+	0.00261827i
$575$	18.1515	+	15.2309i	0.756971	+	0.635174i
$576$	9.11219	−	22.2029i	0.379675	−	0.925120i
$577$	6.57688	+	11.3915i	0.273799	+	0.474234i	0.969831	−	0.243777i	$-0.0783864\pi$
$577$	6.57688	+	11.3915i	0.273799	+	0.474234i	−0.696032	+	0.718010i	$0.745053\pi$
$578$	−14.9430	+	7.04350i	−0.621548	+	0.292971i
$579$	1.83043	+	12.8103i	0.0760699	+	0.532379i
$580$	−0.124440	−	15.0319i	−0.00516710	−	0.624165i
$581$		−	4.58170i		−	0.190081i
$582$	9.76835	+	7.26284i	0.404911	+	0.301054i
$583$	5.66957	−	15.5770i	0.234810	−	0.645134i
$584$	−20.7233	+	14.8975i	−0.857536	+	0.616463i
$585$	30.8035	−	3.38090i	1.27357	−	0.139783i
$586$	6.36690	−	24.1612i	0.263014	−	0.998089i
$587$	3.14631	−	17.8436i	0.129862	−	0.736484i	−0.848439	−	0.529294i	$-0.822457\pi$
$587$	3.14631	−	17.8436i	0.129862	−	0.736484i	0.978301	−	0.207191i	$-0.0664320\pi$
$588$	14.0794	−	15.9734i	0.580627	−	0.658732i
$589$	−8.21361	−	15.9770i	−0.338436	−	0.658320i
$590$	−2.47343	−	5.24747i	−0.101830	−	0.216035i
$591$	−5.44200	−	16.6186i	−0.223854	−	0.683598i
$592$	−12.1239	−	20.2187i	−0.498291	−	0.830982i
$593$	−2.40098	−	2.86137i	−0.0985963	−	0.117503i	0.714490	−	0.699646i	$-0.246659\pi$
$593$	−2.40098	−	2.86137i	−0.0985963	−	0.117503i	−0.813086	+	0.582143i	$0.802214\pi$
$594$	19.1400	+	7.10576i	0.785323	+	0.291553i
$595$	3.26956	−	0.576512i	0.134039	−	0.0236347i
$596$	−2.34542	+	13.9772i	−0.0960722	+	0.572527i
$597$	−10.1606	−	6.31659i	−0.415845	−	0.258521i
$598$	86.0184	−	7.88453i	3.51755	−	0.322422i
$599$	−1.71314	−	9.71569i	−0.0699969	−	0.396972i	−0.999597	−	0.0284014i	$-0.990958\pi$
$599$	−1.71314	−	9.71569i	−0.0699969	−	0.396972i	0.929600	−	0.368571i	$-0.120153\pi$
$600$	12.2312	−	3.01406i	0.499337	−	0.123048i
$601$	−22.8190			−0.930808			−0.465404	−	0.885098i	$-0.654091\pi$
$601$	−22.8190			−0.930808			−0.465404	+	0.885098i	$0.654091\pi$
$602$	7.79172	−	0.714197i	0.317567	−	0.0291085i
$603$	41.8488	+	10.2299i	1.70422	+	0.416592i
$604$	14.6760	+	24.9405i	0.597160	+	1.01482i
$605$	−3.28656	+	3.91677i	−0.133618	+	0.159239i
$606$	31.0287	+	32.8475i	1.26045	+	1.33434i
$607$	11.2946	−	6.52094i	0.458434	−	0.264677i	−0.252952	−	0.967479i	$-0.581401\pi$
$607$	11.2946	−	6.52094i	0.458434	−	0.264677i	0.711385	+	0.702802i	$0.248068\pi$
$608$	−7.04728	+	23.6291i	−0.285805	+	0.958288i
$609$	−3.63844	−	6.80511i	−0.147437	−	0.275757i
$610$	−7.81708	+	29.6643i	−0.316504	+	1.20107i
$611$	−3.68843	+	20.9181i	−0.149218	+	0.846256i
$612$	−7.58940	+	11.5704i	−0.306783	+	0.467706i
$613$	−7.69123	−	6.45371i	−0.310646	−	0.260663i	0.474113	−	0.880464i	$-0.342769\pi$
$613$	−7.69123	−	6.45371i	−0.310646	−	0.260663i	−0.784759	+	0.619801i	$0.787213\pi$
$614$	25.2741	+	11.6584i	1.01998	+	0.470494i
$615$	−1.41920	−	0.0462919i	−0.0572277	−	0.00186667i
$616$	−7.03455	−	1.79158i	−0.283430	−	0.0721850i
$617$	−28.2352	+	4.97862i	−1.13671	+	0.200432i	−0.710164	−	0.704036i	$-0.751379\pi$
$617$	−28.2352	+	4.97862i	−1.13671	+	0.200432i	−0.426541	+	0.904468i	$0.640268\pi$
$618$	−13.1108	−	6.57430i	−0.527394	−	0.264457i
$619$	18.6165	−	10.7482i	0.748259	−	0.432007i	−0.0768057	−	0.997046i	$-0.524472\pi$
$619$	18.6165	−	10.7482i	0.748259	−	0.432007i	0.825064	+	0.565039i	$0.191139\pi$
$620$	−4.49320	−	12.0340i	−0.180451	−	0.483299i
$621$	39.5107	−	27.0488i	1.58551	−	1.08543i
$622$	−9.76538	+	9.84655i	−0.391556	+	0.394811i
$623$	−0.765745	−	4.34275i	−0.0306789	−	0.173989i
$624$	23.5963	−	39.3959i	0.944606	−	1.57710i
$625$	−4.23714	−	3.55538i	−0.169486	−	0.142215i
$626$	28.8693	−	13.6077i	1.15385	−	0.543874i
$627$	−20.2929	−	5.30898i	−0.810422	−	0.212020i
$628$	12.0624	−	14.6194i	0.481340	−	0.583379i
$629$	4.64888	+	12.7727i	0.185363	+	0.509280i
$630$	−4.57429	+	4.04708i	−0.182244	+	0.161240i
$631$	22.3141	+	26.5929i	0.888309	+	1.05865i	0.997907	+	0.0646699i	$0.0205995\pi$
$631$	22.3141	+	26.5929i	0.888309	+	1.05865i	−0.109597	+	0.993976i	$0.534956\pi$
$632$	29.7288	−	2.97334i	1.18255	−	0.118273i
$633$	−21.6752	−	27.6119i	−0.861513	−	1.09747i
$634$	10.9980	−	15.8459i	0.436786	−	0.629323i
$635$	−26.3754			−1.04668
$636$	−20.6622	−	0.502781i	−0.819311	−	0.0199366i
$637$	31.2100	−	26.1883i	1.23658	−	1.03762i
$638$	10.8051	−	15.5680i	0.427778	−	0.616344i
$639$	12.1622	+	24.6478i	0.481129	+	0.975052i
$640$	−6.98528	+	16.1886i	−0.276118	+	0.639910i
$641$	1.14366	+	3.14218i	0.0451718	+	0.124109i	0.960227	−	0.279219i	$-0.0900756\pi$
$641$	1.14366	+	3.14218i	0.0451718	+	0.124109i	−0.915056	+	0.403328i	$0.867853\pi$
$642$	−9.12714	+	0.537284i	−0.360220	+	0.0212049i
$643$	10.8591	+	29.8351i	0.428241	+	1.17658i	0.946880	+	0.321588i	$0.104217\pi$
$643$	10.8591	+	29.8351i	0.428241	+	1.17658i	−0.518639	+	0.854993i	$0.673561\pi$
$644$	−12.9506	+	11.0508i	−0.510326	+	0.435464i
$645$	16.1581	+	0.527051i	0.636225	+	0.0207526i
$646$	6.57671	−	12.6039i	0.258757	−	0.495893i
$647$	−43.8882			−1.72542			−0.862711	−	0.505697i	$-0.831235\pi$
$647$	−43.8882			−1.72542			−0.862711	+	0.505697i	$0.831235\pi$
$648$	0.782474	−	25.4438i	0.0307385	−	0.999527i
$649$	1.26992	−	7.20205i	0.0498486	−	0.282705i
$650$	24.0028	−	2.20012i	0.941467	−	0.0862958i
$651$	−4.91052	−	4.40104i	−0.192458	−	0.172490i
$652$	−4.05051	−	6.88346i	−0.158630	−	0.269577i
$653$	−28.2822	−	16.3287i	−1.10677	−	0.638992i	−0.168777	−	0.985654i	$-0.553982\pi$
$653$	−28.2822	−	16.3287i	−1.10677	−	0.638992i	−0.937990	+	0.346662i	$0.887315\pi$
$654$	20.6864	−	8.93849i	0.808902	−	0.349522i
$655$	16.9588	+	20.2107i	0.662635	+	0.789697i
$656$	−1.32570	+	1.63411i	−0.0517599	+	0.0638011i
$657$	−15.0343	+	22.5119i	−0.586543	+	0.878272i
$658$	−1.78494	−	3.78682i	−0.0695844	−	0.147626i
$659$	21.7954	+	7.93288i	0.849029	+	0.309021i	0.729644	−	0.683827i	$-0.239686\pi$
$659$	21.7954	+	7.93288i	0.849029	+	0.309021i	0.119384	+	0.992848i	$0.461908\pi$
$660$	−13.9652	−	5.47121i	−0.543596	−	0.212966i
$661$	20.2091	+	7.35550i	0.786042	+	0.286096i	0.703690	−	0.710508i	$-0.251535\pi$
$661$	20.2091	+	7.35550i	0.786042	+	0.286096i	0.0823521	+	0.996603i	$0.473757\pi$
$662$	−6.86786	+	1.87074i	−0.266927	+	0.0727083i
$663$	−17.6710	+	19.7166i	−0.686285	+	0.765731i
$664$	−10.0422	−	9.79584i	−0.389713	−	0.380152i
$665$	4.26290	−	4.60468i	0.165308	−	0.178562i
$666$	−19.5694	−	15.5658i	−0.758300	−	0.603164i
$667$	−15.2007	−	41.7636i	−0.588573	−	1.61709i
$668$	15.2483	+	17.8696i	0.589973	+	0.691397i
$669$	39.8987	−	5.70100i	1.54257	−	0.220413i
$670$	−30.6042	−	8.06476i	−1.18235	−	0.311569i
$671$	−29.6248	+	24.8581i	−1.14365	+	0.959637i
$672$	0.681386	+	9.02519i	0.0262850	+	0.348154i
$673$	19.1121	+	33.1031i	0.736717	+	1.27603i	0.953966	+	0.299915i	$0.0969585\pi$
$673$	19.1121	+	33.1031i	0.736717	+	1.27603i	−0.217248	+	0.976116i	$0.569708\pi$
$674$	−14.4648	+	31.3580i	−0.557162	+	1.20787i
$675$	11.0252	−	7.54776i	0.424358	−	0.290513i
$676$	39.3739	−	47.7207i	1.51438	−	1.83541i
$677$		−	1.79454i		−	0.0689698i	−0.999405	−	0.0344849i	$-0.989021\pi$
$677$		−	1.79454i		−	0.0689698i	0.999405	−	0.0344849i	$-0.0109791\pi$
$678$	0.514749	+	8.74431i	0.0197688	+	0.335823i
$679$	−4.52075	−	0.797130i	−0.173490	−	0.0305910i
$680$	5.72684	−	8.39884i	0.219614	−	0.322081i
$681$	8.93760	+	8.01031i	0.342490	+	0.306956i
$682$	4.12639	−	15.6589i	0.158008	−	0.599609i
$683$	18.3934			0.703803			0.351901	−	0.936037i	$-0.385535\pi$
$683$	18.3934			0.703803			0.351901	+	0.936037i	$0.385535\pi$
$684$	1.79938	+	26.0914i	0.0688008	+	0.997630i
$685$	−11.5634			−0.441814
$686$	−4.37641	+	16.6076i	−0.167092	+	0.634082i
$687$	4.03718	−	1.32203i	0.154028	−	0.0504386i
$688$	15.0936	−	18.6049i	0.575438	−	0.709305i
$689$	−38.9462	−	6.86727i	−1.48373	−	0.261622i
$690$	−29.3774	+	19.3480i	−1.11838	+	0.736564i
$691$		−	20.9229i		−	0.795945i	−0.917397	−	0.397973i	$-0.869714\pi$
$691$		−	20.9229i		−	0.795945i	0.917397	−	0.397973i	$-0.130286\pi$
$692$	−2.60674	−	2.15079i	−0.0990933	−	0.0817608i
$693$	−7.65348	+	0.840023i	−0.290732	+	0.0319098i
$694$	−3.87828	+	8.40769i	−0.147218	+	0.319152i
$695$	11.1147	+	19.2511i	0.421603	+	0.730237i
$696$	−22.6946	−	6.57482i	−0.860236	−	0.249218i
$697$	0.929373	−	0.779837i	0.0352025	−	0.0295384i
$698$	40.1413	+	10.5780i	1.51937	+	0.400381i
$699$	−28.2177	−	35.9463i	−1.06729	−	1.35961i
$700$	−3.61378	+	3.08366i	−0.136588	+	0.116551i
$701$	−13.9837	−	38.4199i	−0.528157	−	1.45110i	−0.861238	−	0.508201i	$-0.830311\pi$
$701$	−13.9837	−	38.4199i	−0.528157	−	1.45110i	0.333081	−	0.942898i	$-0.391912\pi$
$702$	8.76549	−	47.9123i	0.330832	−	1.80833i
$703$	21.5962	+	13.9139i	0.814517	+	0.524774i
$704$	−18.9669	+	11.5879i	−0.714842	+	0.436734i
$705$	−2.69189	−	8.22042i	−0.101383	−	0.309599i
$706$	10.0575	−	2.73957i	0.378519	−	0.103105i
$707$	−16.0127	−	5.82815i	−0.602220	−	0.219190i
$708$	−9.01560	+	1.36446i	−0.338827	+	0.0512795i
$709$	4.58118	+	1.66741i	0.172050	+	0.0626210i	0.426609	−	0.904436i	$-0.359708\pi$
$709$	4.58118	+	1.66741i	0.172050	+	0.0626210i	−0.254559	+	0.967057i	$0.581930\pi$
$710$	−8.60904	−	18.2644i	−0.323092	−	0.685450i
$711$	28.4181	−	14.0226i	1.06576	−	0.525890i
$712$	−11.1557	−	7.60660i	−0.418076	−	0.285069i
$713$	−24.4120	−	29.0930i	−0.914235	−	1.08954i
$714$	0.602594	−	5.18344i	0.0225515	−	0.193986i
$715$	−24.8538	−	14.3494i	−0.929480	−	0.536636i
$716$	31.8659	−	18.7512i	1.19089	−	0.700766i
$717$	−4.39081	+	20.8933i	−0.163978	+	0.780274i
$718$	−0.128312	+	0.0117612i	−0.00478855	+	0.000438924i
$719$	8.79161	−	49.8597i	0.327872	−	1.85945i	−0.160804	−	0.986986i	$-0.551409\pi$
$719$	8.79161	−	49.8597i	0.327872	−	1.85945i	0.488675	−	0.872466i	$-0.337480\pi$
$720$	−0.909571	+	18.6787i	−0.0338977	+	0.696115i
$721$	5.53114			0.205990
$722$	−4.50499	−	26.4897i	−0.167658	−	0.985845i
$723$	−13.9160	+	22.3846i	−0.517541	+	0.832492i
$724$	2.89583	+	3.39366i	0.107623	+	0.126125i
$725$	−4.24164	−	11.6538i	−0.157531	−	0.432812i
$726$	4.42032	+	6.71169i	0.164054	+	0.249094i
$727$	−2.44059	−	6.70547i	−0.0905165	−	0.248692i	0.886171	−	0.463358i	$-0.153356\pi$
$727$	−2.44059	−	6.70547i	−0.0905165	−	0.248692i	−0.976687	+	0.214666i	$0.931134\pi$
$728$	−1.29503	+	17.2695i	−0.0479970	+	0.640052i
$729$	−8.69699	−	25.5610i	−0.322111	−	0.946702i
$730$	11.3392	−	16.3376i	0.419684	−	0.604683i
$731$	−10.5813	+	8.87872i	−0.391362	+	0.328391i
$732$	41.1591	+	25.1176i	1.52128	+	0.928374i
$733$	34.6414			1.27951			0.639754	−	0.768580i	$-0.279036\pi$
$733$	34.6414			1.27951			0.639754	+	0.768580i	$0.279036\pi$
$734$	−25.2347	+	36.3583i	−0.931430	+	1.34201i
$735$	−6.17984	+	15.3975i	−0.227947	+	0.567945i
$736$	−3.46763	+	52.0123i	−0.127819	+	1.91720i
$737$	−25.6457	−	30.5634i	−0.944673	−	1.12582i
$738$	−0.708158	+	2.11655i	−0.0260677	+	0.0779112i
$739$	−2.61591	−	7.18715i	−0.0962278	−	0.264384i	0.882234	−	0.470811i	$-0.156039\pi$
$739$	−2.61591	−	7.18715i	−0.0962278	−	0.264384i	−0.978462	+	0.206427i	$0.933816\pi$
$740$	14.1693	+	11.6910i	0.520875	+	0.429769i
$741$	−4.06640	+	49.8767i	−0.149383	+	1.83227i
$742$	7.05047	−	3.32329i	0.258831	−	0.122002i
$743$	19.6371	+	16.4775i	0.720416	+	0.604501i	0.927500	−	0.373822i	$-0.121953\pi$
$743$	19.6371	+	16.4775i	0.720416	+	0.604501i	−0.207084	+	0.978323i	$0.566397\pi$
$744$	−20.1451	+	1.35330i	−0.738554	+	0.0496144i
$745$	−1.91765	−	10.8756i	−0.0702574	−	0.398449i
$746$	11.8406	−	11.9390i	0.433516	−	0.437119i
$747$	−13.6209	−	5.98952i	−0.498364	−	0.219145i
$748$	12.0054	−	4.48250i	0.438961	−	0.163896i
$749$	2.98604	−	1.72399i	0.109108	−	0.0629933i
$750$	−24.1376	+	15.8970i	−0.881379	+	0.580477i
$751$	−3.09433	+	0.545614i	−0.112914	+	0.0199097i	−0.229819	−	0.973233i	$-0.573814\pi$
$751$	−3.09433	+	0.545614i	−0.112914	+	0.0199097i	0.116906	+	0.993143i	$0.462702\pi$
$752$	−12.1162	−	4.18412i	−0.441834	−	0.152579i
$753$	−13.2971	−	24.8700i	−0.484572	−	0.906313i
$754$	−41.0526	−	18.9367i	−1.49505	−	0.689633i
$755$	−17.2733	−	14.4940i	−0.628640	−	0.527492i
$756$	4.03728	+	8.70968i	0.146835	+	0.316768i
$757$	−0.841987	+	4.77515i	−0.0306025	+	0.173556i	−0.996278	−	0.0861949i	$-0.972529\pi$
$757$	−0.841987	+	4.77515i	−0.0306025	+	0.173556i	0.965676	+	0.259751i	$0.0836403\pi$
$758$	3.43497	−	13.0350i	0.124764	−	0.473454i
$759$	−44.3208	−	1.44567i	−1.60874	−	0.0524745i
$760$	−0.978331	−	19.1884i	−0.0354878	−	0.696036i
$761$	0.433654	−	0.250370i	0.0157199	−	0.00907591i	−0.492119	−	0.870528i	$-0.663778\pi$
$761$	0.433654	−	0.250370i	0.0157199	−	0.00907591i	0.507839	+	0.861452i	$0.330444\pi$
$762$	−11.8652	+	39.7224i	−0.429832	+	1.43899i
$763$	−5.46265	+	6.51013i	−0.197761	+	0.235683i
$764$	−6.32541	+	3.72213i	−0.228845	+	0.134662i
$765$	2.56029	−	10.4737i	0.0925674	−	0.378679i
$766$	−41.2431	+	3.78038i	−1.49017	+	0.136591i
$767$	−17.4470			−0.629974
$768$	21.2383	+	17.8027i	0.766370	+	0.642400i
$769$	3.35061	+	19.0022i	0.120826	+	0.685239i	0.983700	+	0.179819i	$0.0575512\pi$
$769$	3.35061	+	19.0022i	0.120826	+	0.685239i	−0.862874	+	0.505420i	$0.831338\pi$
$770$	5.63270	−	0.516299i	0.202989	−	0.0186061i
$771$	0.487479	−	14.9449i	0.0175561	−	0.538229i
$772$	−14.7363	−	2.47280i	−0.530371	−	0.0889982i
$773$	11.9875	−	2.11372i	0.431160	−	0.0760252i	0.0461436	−	0.998935i	$-0.485307\pi$
$773$	11.9875	−	2.11372i	0.431160	−	0.0760252i	0.385017	+	0.922910i	$0.374196\pi$
$774$	8.06264	−	24.0976i	0.289805	−	0.866172i
$775$	−6.81198	−	8.11820i	−0.244693	−	0.291614i
$776$	−11.4127	+	8.20429i	−0.409691	+	0.294517i
$777$	9.22836	+	1.93938i	0.331065	+	0.0695747i
$778$	−5.45840	−	11.5802i	−0.195693	−	0.415170i
$779$	0.507734	−	2.23611i	0.0181915	−	0.0801171i
$780$	−7.06894	+	35.0772i	−0.253109	+	1.25597i
$781$	4.42008	−	25.0675i	0.158163	−	0.896986i
$782$	7.65850	−	29.0626i	0.273867	−	1.03927i
$783$	−24.9874	+	1.92061i	−0.892975	+	0.0686371i
$784$	12.6442	+	21.0863i	0.451579	+	0.753082i
$785$	−5.05112	+	13.8778i	−0.180282	+	0.495321i
$786$	38.0672	−	16.4486i	1.35781	−	0.586704i
$787$		−	3.58252i		−	0.127703i	−0.997959	−	0.0638514i	$-0.979662\pi$
$787$		−	3.58252i		−	0.127703i	0.997959	−	0.0638514i	$-0.0203384\pi$
$788$	20.1915	−	0.167154i	0.719292	−	0.00595461i
$789$	31.2060	−	24.4966i	1.11096	−	0.872101i
$790$	−21.0583	+	9.92596i	−0.749220	+	0.353150i
$791$	−1.65168	−	2.86080i	−0.0587270	−	0.101718i
$792$	−14.5222	+	18.5709i	−0.516026	+	0.659889i
$793$	70.6758	+	59.3040i	2.50977	+	2.10595i
$794$	12.1650	−	1.11505i	0.431719	−	0.0395718i
$795$	15.3051	−	5.01188i	0.542817	−	0.177753i
$796$	10.5089	−	8.96730i	0.372478	−	0.317837i
$797$	15.1583	−	8.75164i	0.536934	−	0.309999i	−0.206902	−	0.978362i	$-0.566338\pi$
$797$	15.1583	−	8.75164i	0.536934	−	0.309999i	0.743835	+	0.668363i	$0.233005\pi$
$798$	−5.01713	−	8.49155i	−0.177604	−	0.300598i
$799$	6.40038	+	3.69526i	0.226429	+	0.130729i
$800$	−0.967616	+	14.5137i	−0.0342104	+	0.513135i
$801$	−13.9116	−	3.40067i	−0.491543	−	0.120157i
$802$	−4.39689	+	3.10594i	−0.155260	+	0.109674i
$803$	23.5583	−	8.57453i	0.831356	−	0.302589i
$804$	−25.9135	+	42.4632i	−0.913898	+	1.49756i
$805$	6.63284	−	11.4884i	0.233777	−	0.404914i
$806$	−38.4993	−	3.20773i	−1.35608	−	0.112988i
$807$	−0.644038	+	1.60466i	−0.0226712	+	0.0564869i
$808$	−47.0099	+	22.6359i	−1.65380	+	0.796329i
$809$	8.50204	+	4.90866i	0.298916	+	0.172579i	0.641956	−	0.766742i	$-0.278123\pi$
$809$	8.50204	+	4.90866i	0.298916	+	0.172579i	−0.343040	+	0.939321i	$0.611457\pi$
$810$	6.05176	+	18.8895i	0.212637	+	0.663710i
$811$	−16.9636	+	2.99113i	−0.595671	+	0.105033i	−0.463352	−	0.886174i	$-0.653353\pi$
$811$	−16.9636	+	2.99113i	−0.595671	+	0.105033i	−0.132319	+	0.991207i	$0.542242\pi$
$812$	8.76203	−	1.61988i	0.307487	−	0.0568467i
$813$	−13.7103	−	17.4655i	−0.480843	−	0.612542i
$814$	6.08613	+	22.3434i	0.213319	+	0.783136i
$815$	4.76734	+	4.00028i	0.166993	+	0.140124i
$816$	−10.0727	−	12.4032i	−0.352616	−	0.434197i
$817$	−5.78074	+	25.4590i	−0.202242	+	0.890696i
$818$	1.30169	−	15.6229i	0.0455125	−	0.546241i
$819$	5.14422	+	17.6335i	0.179754	+	0.616165i
$820$	0.548010	−	1.54533i	0.0191373	−	0.0539653i
$821$	−20.3189	+	3.58278i	−0.709136	+	0.125040i	−0.516571	−	0.856244i	$-0.672792\pi$
$821$	−20.3189	+	3.58278i	−0.709136	+	0.125040i	−0.192565	+	0.981284i	$0.561681\pi$
$822$	−5.20190	+	17.4149i	−0.181437	+	0.607415i
$823$	0.217887	+	0.259668i	0.00759507	+	0.00905145i	0.769829	−	0.638251i	$-0.220342\pi$
$823$	0.217887	+	0.259668i	0.00759507	+	0.00905145i	−0.762234	+	0.647302i	$0.775897\pi$
$824$	11.8258	−	12.1232i	0.411970	−	0.422330i
$825$	−12.3674	−	0.403403i	−0.430577	−	0.0140447i
$826$	2.80861	−	1.98399i	0.0977241	−	0.0690317i
$827$	−35.6500	−	12.9755i	−1.23967	−	0.451204i	−0.362773	−	0.931878i	$-0.618170\pi$
$827$	−35.6500	−	12.9755i	−1.23967	−	0.451204i	−0.876900	+	0.480674i	$0.840392\pi$
$828$	15.9231	+	52.9474i	0.553366	+	1.84005i
$829$	8.75620	+	15.1662i	0.304115	+	0.526743i	0.977064	−	0.212946i	$-0.0683059\pi$
$829$	8.75620	+	15.1662i	0.304115	+	0.526743i	−0.672949	+	0.739689i	$0.734973\pi$
$830$	9.92606	+	4.57868i	0.344539	+	0.158928i
$831$	14.8431	−	4.86057i	0.514900	−	0.168611i
$832$	35.0826	+	39.7613i	1.21627	+	1.37848i
$833$	−4.84837	−	13.3208i	−0.167986	−	0.461538i
$834$	33.9930	−	8.07880i	1.17708	−	0.279746i
$835$	−15.8520	−	9.15218i	−0.548583	−	0.316724i
$836$	12.9491	−	20.4688i	0.447853	−	0.707929i
$837$	−19.5032	+	8.84513i	−0.674130	+	0.305732i
$838$	3.52915	+	12.9562i	0.121913	+	0.447565i
$839$	23.0465	+	19.3383i	0.795654	+	0.667633i	0.947138	−	0.320827i	$-0.103961\pi$
$839$	23.0465	+	19.3383i	0.795654	+	0.667633i	−0.151484	+	0.988460i	$0.548405\pi$
$840$	−2.85086	−	6.45057i	−0.0983639	−	0.222566i
$841$	0.996505	−	5.65146i	0.0343622	−	0.194878i
$842$	10.7043	+	15.1535i	0.368895	+	0.522223i
$843$	0.993191	−	30.4488i	0.0342073	−	1.04871i
$844$	37.9731	−	14.1781i	1.30709	−	0.488032i
$845$	−16.4878	+	45.3000i	−0.567199	+	1.55837i
$846$	−13.5913	+	0.356064i	−0.467277	+	0.0122417i
$847$	−2.62470	−	1.51537i	−0.0901857	−	0.0520687i
$848$	7.79016	−	22.5585i	0.267515	−	0.774663i
$849$	22.9082	+	29.1826i	0.786207	+	1.00154i
$850$	2.13705	−	8.10969i	0.0733001	−	0.278160i
$851$	51.0356	+	18.5754i	1.74948	+	0.636758i
$852$	−31.3798	+	4.74915i	−1.07505	+	0.162703i
$853$	0.363805	−	2.06324i	0.0124564	−	0.0706440i	−0.977946	−	0.208858i	$-0.933025\pi$
$853$	0.363805	−	2.06324i	0.0124564	−	0.0706440i	0.990402	+	0.138214i	$0.0441363\pi$
$854$	−18.1211	−	1.50984i	−0.620093	−	0.0516657i
$855$	−8.11650	−	18.6927i	−0.277579	−	0.639278i
$856$	2.60561	−	10.2308i	0.0890580	−	0.349681i
$857$	12.1488	+	2.14217i	0.414996	+	0.0731750i	0.377248	−	0.926112i	$-0.376870\pi$
$857$	12.1488	+	2.14217i	0.414996	+	0.0731750i	0.0377482	+	0.999287i	$0.487982\pi$
$858$	−32.7914	+	30.9756i	−1.11948	+	1.05749i
$859$	−0.957068	+	2.62952i	−0.0326548	+	0.0897182i	−0.954949	−	0.296771i	$-0.904090\pi$
$859$	−0.957068	+	2.62952i	−0.0326548	+	0.0897182i	0.922294	+	0.386489i	$0.126312\pi$
$860$	−6.23929	+	17.5941i	−0.212758	+	0.599955i
$861$	−0.119056	−	0.833221i	−0.00405743	−	0.0283961i
$862$	4.17280	−	50.0820i	0.142126	−	1.70580i
$863$	−9.44017	+	16.3509i	−0.321347	+	0.556589i	−0.980766	−	0.195186i	$-0.937469\pi$
$863$	−9.44017	+	16.3509i	−0.321347	+	0.556589i	0.659419	+	0.751775i	$0.270802\pi$
$864$	27.7217	+	9.77266i	0.943113	+	0.332473i
$865$	2.47450	+	0.900646i	0.0841356	+	0.0306229i
$866$	−22.8557	+	10.7732i	−0.776669	+	0.366088i
$867$	−9.53969	−	17.8424i	−0.323985	−	0.605961i
$868$	6.56237	−	3.86157i	0.222741	−	0.131070i
$869$	−28.9021	−	5.09621i	−0.980435	−	0.172877i
$870$	18.3790	−	1.08191i	0.623107	−	0.0366802i
$871$	−61.1830	+	72.9151i	−2.07311	+	2.47063i
$872$	2.58959	+	25.8919i	0.0876946	+	0.876811i
$873$	−8.27962	+	12.3977i	−0.280223	+	0.419597i
$874$	−21.6874	−	52.5020i	−0.733587	−	1.77591i
$875$	5.44979	−	9.43932i	0.184237	−	0.319107i
$876$	−19.5040	−	24.4270i	−0.658981	−	0.825311i
$877$	−18.7708	+	6.83202i	−0.633845	+	0.230701i	−0.638904	−	0.769286i	$-0.720612\pi$
$877$	−18.7708	+	6.83202i	−0.633845	+	0.230701i	0.00505884	+	0.999987i	$0.498390\pi$
$878$	−2.86084	−	1.31964i	−0.0965486	−	0.0445358i
$879$	29.9473	+	6.29355i	1.01010	+	0.212276i
$880$	10.9113	−	13.4496i	0.367819	−	0.453387i
$881$	−19.9891	+	11.5407i	−0.673451	+	0.388817i	−0.797383	−	0.603473i	$-0.793783\pi$
$881$	−19.9891	+	11.5407i	−0.673451	+	0.388817i	0.123932	+	0.992291i	$0.460450\pi$
$882$	20.4092	+	16.2338i	0.687213	+	0.546620i
$883$	13.3436	−	36.6612i	0.449047	−	1.23375i	−0.484341	−	0.874879i	$-0.660941\pi$
$883$	13.3436	−	36.6612i	0.449047	−	1.23375i	0.933388	−	0.358868i	$-0.116837\pi$
$884$	−15.5049	−	26.3492i	−0.521487	−	0.886218i
$885$	6.26564	−	3.35000i	0.210617	−	0.112609i
$886$	−2.20821	−	1.53262i	−0.0741863	−	0.0514895i
$887$	1.56981	−	1.31723i	0.0527091	−	0.0442282i	−0.616053	−	0.787705i	$-0.711269\pi$
$887$	1.56981	−	1.31723i	0.0527091	−	0.0442282i	0.668762	+	0.743477i	$0.266825\pi$
$888$	23.9813	−	16.0803i	0.804759	−	0.539619i
$889$	−2.71483	−	15.3966i	−0.0910526	−	0.516385i
$890$	10.1736	+	2.68093i	0.341021	+	0.0898651i
$891$	−7.50786	+	23.8512i	−0.251523	+	0.799045i
$892$	−7.70173	+	45.8973i	−0.257873	+	1.53676i
$893$	13.8581	−	1.75247i	0.463744	−	0.0586442i
$894$	−17.2417	−	2.00441i	−0.576649	−	0.0670375i
$895$	−18.5187	+	22.0697i	−0.619011	+	0.737708i
$896$	−10.1691	−	2.41135i	−0.339725	−	0.0805575i
$897$	14.9643	+	104.729i	0.499644	+	3.49678i
$898$	24.0833	−	6.56006i	0.803670	−	0.218912i
$899$	3.45166	+	19.5754i	0.115119	+	0.652875i
$900$	4.44322	+	14.7746i	0.148107	+	0.492486i
$901$	−6.88000	+	11.9165i	−0.229206	+	0.396996i
$902$	1.68823	−	1.19256i	0.0562119	−	0.0397078i
$903$	1.35550	+	9.48652i	0.0451082	+	0.315692i
$904$	−9.80165	−	2.49632i	−0.325998	−	0.0830264i
$905$	−3.01050	−	1.73811i	−0.100072	−	0.0577768i
$906$	−29.5991	+	19.4940i	−0.983366	+	0.647645i
$907$	−1.25354	−	3.44407i	−0.0416231	−	0.114359i	0.917140	−	0.398566i	$-0.130492\pi$
$907$	−1.25354	−	3.44407i	−0.0416231	−	0.114359i	−0.958763	+	0.284207i	$0.908270\pi$
$908$	−11.9441	+	7.02842i	−0.396380	+	0.233246i
$909$	−38.2595	+	39.9853i	−1.26899	+	1.32623i
$910$	−3.54649	−	13.0199i	−0.117565	−	0.431605i
$911$	10.1210	−	17.5300i	0.335322	−	0.580795i	−0.648225	−	0.761449i	$-0.724488\pi$
$911$	10.1210	−	17.5300i	0.335322	−	0.580795i	0.983547	+	0.180654i	$0.0578215\pi$
$912$	−29.3386	−	7.15868i	−0.971498	−	0.237048i
$913$	6.89010	+	11.9340i	0.228029	+	0.394958i
$914$	−16.5400	+	16.6775i	−0.547095	+	0.551643i
$915$	−36.7684	−	7.72702i	−1.21553	−	0.255447i
$916$	0.0406069	+	4.90514i	0.00134169	+	0.162071i
$917$	−10.0524	+	11.9800i	−0.331959	+	0.395614i
$918$	−14.6221	−	8.56761i	−0.482602	−	0.282773i
$919$	25.3019	−	14.6081i	0.834633	−	0.481876i	−0.0208033	−	0.999784i	$-0.506622\pi$
$919$	25.3019	−	14.6081i	0.834633	−	0.481876i	0.855436	+	0.517908i	$0.173289\pi$
$920$	−10.9991	−	39.1005i	−0.362630	−	1.28911i
$921$	−12.6972	+	31.6359i	−0.418386	+	1.04244i
$922$	−3.64742	−	39.7925i	−0.120121	−	1.31050i
$923$	−60.7261			−1.99882
$924$	1.75636	−	8.71534i	0.0577799	−	0.286714i
$925$	14.2411	+	5.18334i	0.468245	+	0.170427i
$926$	−12.4023	−	12.3000i	−0.407565	−	0.404204i
$927$	7.23069	−	16.4435i	0.237487	−	0.540076i
$928$	15.1831	−	22.6680i	0.498408	−	0.744114i
$929$	46.5540	+	8.20873i	1.52739	+	0.269320i	0.873331	−	0.487126i	$-0.161955\pi$
$929$	46.5540	+	8.20873i	1.52739	+	0.269320i	0.654056	+	0.756446i	$0.273066\pi$
$930$	14.4419	−	6.24029i	0.473570	−	0.204627i
$931$	−22.5230	−	14.5110i	−0.738160	−	0.475579i
$932$	49.4349	−	18.4577i	1.61929	−	0.604601i
$933$	−12.6481	−	11.3358i	−0.414080	−	0.371119i
$934$	−11.1243	+	11.2168i	−0.363999	+	0.367025i
$935$	−7.64928	+	6.41851i	−0.250158	+	0.209908i
$936$	49.6477	+	26.4259i	1.62279	+	0.863759i
$937$	−7.21371	−	40.9110i	−0.235662	−	1.33650i	−0.841216	−	0.540700i	$-0.818160\pi$
$937$	−7.21371	−	40.9110i	−0.235662	−	1.33650i	0.605554	−	0.795804i	$-0.292952\pi$
$938$	1.55768	−	18.6953i	0.0508601	−	0.610423i
$939$	18.4302	+	34.4707i	0.601448	+	1.12491i
$940$	9.98776	−	0.0826829i	0.325765	−	0.00269682i
$941$	28.3624	−	5.00106i	0.924588	−	0.163030i	0.308967	−	0.951073i	$-0.400017\pi$
$941$	28.3624	−	5.00106i	0.924588	−	0.163030i	0.615620	+	0.788043i	$0.288906\pi$
$942$	18.6283	+	13.8503i	0.606942	+	0.451266i
$943$		−	4.84761i		−	0.157860i
$944$	1.65640	−	10.3978i	0.0539113	−	0.338418i
$945$	−5.23323	−	5.34488i	−0.170237	−	0.173869i
$946$	−19.2211	+	13.5777i	−0.624932	+	0.441448i
$947$	−30.7056	−	25.7651i	−0.997798	−	0.837252i	−0.0111204	−	0.999938i	$-0.503540\pi$
$947$	−30.7056	−	25.7651i	−0.997798	−	0.837252i	−0.986678	+	0.162686i	$0.947984\pi$
$948$	5.47562	+	36.1799i	0.177840	+	1.17507i
$949$	−29.9050	−	51.7971i	−0.970759	−	1.68140i
$950$	−6.05171	−	14.6503i	−0.196343	−	0.475318i
$951$	20.0627	+	12.4725i	0.650577	+	0.404448i
$952$	5.49228	+	2.47854i	0.178006	+	0.0803299i
$953$	−25.0363	−	4.41458i	−0.811006	−	0.143002i	−0.247258	−	0.968950i	$-0.579530\pi$
$953$	−25.0363	−	4.41458i	−0.811006	−	0.143002i	−0.563747	+	0.825947i	$0.690641\pi$
$954$	−0.662935	−	25.3048i	−0.0214633	−	0.819272i
$955$	3.67597	−	4.38085i	0.118952	−	0.141761i
$956$	−21.4510	−	12.1491i	−0.693774	−	0.392929i
$957$	19.7108	+	12.2537i	0.637160	+	0.396107i
$958$	−0.0418777	+	0.502616i	−0.00135301	+	0.0162388i
$959$	−1.19023	−	6.75010i	−0.0384344	−	0.217972i
$960$	−20.2336	−	7.54303i	−0.653037	−	0.243450i
$961$	−7.00718	−	12.1368i	−0.226038	−	0.391510i
$962$	49.9735	−	23.5554i	1.61121	−	0.759455i
$963$	−1.22170	−	11.1309i	−0.0393686	−	0.358689i
$964$	−19.7557	−	23.1519i	−0.636288	−	0.745674i
$965$	11.4662	−	2.02180i	0.369111	−	0.0650842i
$966$	−14.3182	−	15.1575i	−0.460680	−	0.487685i
$967$	11.9214	−	14.2074i	0.383368	−	0.456880i	−0.539506	−	0.841982i	$-0.681389\pi$
$967$	11.9214	−	14.2074i	0.383368	−	0.456880i	0.922874	+	0.385102i	$0.125834\pi$
$968$	−8.93309	+	2.51291i	−0.287120	+	0.0807679i
$969$	15.8236	+	7.26498i	0.508327	+	0.233385i
$970$	6.24471	−	8.99740i	0.200505	−	0.288889i
$971$	5.21874	−	1.89947i	0.167477	−	0.0609567i	−0.256921	−	0.966432i	$-0.582708\pi$
$971$	5.21874	−	1.89947i	0.167477	−	0.0609567i	0.424398	+	0.905476i	$0.360486\pi$
$972$	31.1708	−	0.616553i	0.999804	−	0.0197760i
$973$	−10.0938	+	8.46969i	−0.323592	+	0.271526i
$974$	9.99597	−	2.72281i	0.320292	−	0.0872444i
$975$	4.17568	+	29.2237i	0.133729	+	0.935908i
$976$	−42.0529	+	36.4899i	−1.34608	+	1.16801i
$977$		−	28.0711i		−	0.898073i	−0.893514	−	0.449036i	$-0.851767\pi$
$977$		−	28.0711i		−	0.898073i	0.893514	−	0.449036i	$-0.148233\pi$
$978$	8.16921	−	5.38025i	0.261223	−	0.172041i
$979$	8.52530	+	10.1601i	0.272470	+	0.324717i
$980$	−14.7774	−	12.1926i	−0.472045	−	0.389480i
$981$	12.2128	+	24.7504i	0.389925	+	0.790220i
$982$	−29.9121	+	2.74177i	−0.954533	+	0.0874935i
$983$	25.4508	−	9.26332i	0.811753	−	0.295454i	0.0974052	−	0.995245i	$-0.468946\pi$
$983$	25.4508	−	9.26332i	0.811753	−	0.295454i	0.714348	+	0.699791i	$0.246724\pi$
$984$	−2.08080	−	1.52051i	−0.0663335	−	0.0484720i
$985$	−14.7849	+	5.38128i	−0.471088	+	0.171462i
$986$	−11.0768	+	11.1689i	−0.352758	+	0.355690i
$987$	4.52158	−	2.41752i	0.143923	−	0.0769506i
$988$	−53.4550	−	21.9436i	−1.70063	−	0.698118i
$989$			55.1918i			1.75500i
$990$	5.82855	−	17.4204i	0.185244	−	0.553657i
$991$	11.0066	+	1.94076i	0.349635	+	0.0616501i	0.345708	−	0.938342i	$-0.387639\pi$
$991$	11.0066	+	1.94076i	0.349635	+	0.0616501i	0.00392729	+	0.999992i	$0.498750\pi$
$992$	5.56678	−	22.6396i	0.176745	−	0.718808i
$993$	−2.71302	−	8.28494i	−0.0860951	−	0.262915i
$994$	9.77568	−	6.90548i	0.310066	−	0.219029i
$995$	−5.38227	+	9.32237i	−0.170630	+	0.295539i
$996$	11.3610	−	12.8893i	0.359987	−	0.408413i
$997$	19.0387	−	15.9753i	0.602961	−	0.505944i	−0.289435	−	0.957198i	$-0.593467\pi$
$997$	19.0387	−	15.9753i	0.602961	−	0.505944i	0.892396	+	0.451253i	$0.149023\pi$
$998$	18.6936	+	8.62295i	0.591735	+	0.272955i
$999$	17.8295	−	24.8997i	0.564101	−	0.787792i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	684.2.bs.a.119.11	yes	696
4.3	odd	2	inner	684.2.bs.a.119.4	yes	696
9.5	odd	6		684.2.ch.a.347.30	yes	696
19.4	even	9		684.2.ch.a.479.37	yes	696
36.23	even	6		684.2.ch.a.347.37	yes	696
76.23	odd	18		684.2.ch.a.479.30	yes	696
171.23	odd	18	inner	684.2.bs.a.23.4	✓	696
684.23	even	18	inner	684.2.bs.a.23.11	yes	696

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
684.2.bs.a.23.4	✓	696	171.23	odd	18	inner
684.2.bs.a.23.11	yes	696	684.23	even	18	inner
684.2.bs.a.119.4	yes	696	4.3	odd	2	inner
684.2.bs.a.119.11	yes	696	1.1	even	1	trivial
684.2.ch.a.347.30	yes	696	9.5	odd	6
684.2.ch.a.347.37	yes	696	36.23	even	6
684.2.ch.a.479.30	yes	696	76.23	odd	18
684.2.ch.a.479.37	yes	696	19.4	even	9

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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 684 = 2^{2} \cdot 3^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	684.bs (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.36753 - 0.360368i) q^{2} +(0.356216 - 1.69503i) q^{3} +(1.74027 + 0.985628i) q^{4} +(-1.53473 - 0.270614i) q^{5} +(-1.09797 + 2.18963i) q^{6} -0.923751i q^{7} +(-2.02468 - 1.97501i) q^{8} +(-2.74622 - 1.20759i) q^{9} +(2.00127 + 0.923141i) q^{10} +(1.38916 + 2.40610i) q^{11} +(2.29058 - 2.59870i) q^{12} +(5.07753 - 4.26056i) q^{13} +(-0.332890 + 1.26326i) q^{14} +(-1.00539 + 2.50501i) q^{15} +(2.05708 + 3.43052i) q^{16} +(-0.788778 - 2.16715i) q^{17} +(3.32036 + 2.64107i) q^{18} +(-3.66424 - 2.36079i) q^{19} +(-2.40412 - 1.98361i) q^{20} +(-1.56578 - 0.329055i) q^{21} +(-1.03264 - 3.79102i) q^{22} +(-8.65925 - 3.15171i) q^{23} +(-4.06892 + 2.72835i) q^{24} +(-2.41630 - 0.879461i) q^{25} +(-8.47904 + 3.99665i) q^{26} +(-3.02515 + 4.22475i) q^{27} +(0.910474 - 1.60758i) q^{28} +(3.10017 + 3.69463i) q^{29} +(2.27763 - 3.06336i) q^{30} +(3.56920 + 2.06068i) q^{31} +(-1.57686 - 5.43263i) q^{32} +(4.57324 - 1.49757i) q^{33} +(0.297705 + 3.24789i) q^{34} +(-0.249980 + 1.41771i) q^{35} +(-3.58893 - 4.80828i) q^{36} -5.89377 q^{37} +(4.16021 + 4.54892i) q^{38} +(-5.41305 - 10.1242i) q^{39} +(2.57287 + 3.57902i) q^{40} +(0.179922 + 0.494332i) q^{41} +(2.02267 + 1.01425i) q^{42} +(-2.04848 - 5.62815i) q^{43} +(0.0459988 + 5.55646i) q^{44} +(3.88791 + 2.59649i) q^{45} +(10.7060 + 7.43057i) q^{46} +(-2.45486 + 2.05987i) q^{47} +(6.54757 - 2.26479i) q^{48} +6.14668 q^{49} +(2.98743 + 2.07345i) q^{50} +(-3.95435 + 0.565024i) q^{51} +(13.0356 - 2.40996i) q^{52} +(-3.83515 - 4.57056i) q^{53} +(5.65944 - 4.68730i) q^{54} +(-1.48086 - 4.06864i) q^{55} +(-1.82442 + 1.87030i) q^{56} +(-5.30686 + 5.37004i) q^{57} +(-2.90814 - 6.16972i) q^{58} +(-2.01639 - 1.69196i) q^{59} +(-4.21866 + 3.36845i) q^{60} +(2.41706 + 13.7078i) q^{61} +(-4.13839 - 4.10427i) q^{62} +(-1.11551 + 2.53682i) q^{63} +(0.198657 + 7.99753i) q^{64} +(-8.94561 + 5.16475i) q^{65} +(-6.79372 + 0.399924i) q^{66} +(-14.1422 + 2.49365i) q^{67} +(0.763316 - 4.54887i) q^{68} +(-8.42679 + 13.5550i) q^{69} +(0.852752 - 1.84867i) q^{70} +(-7.01828 - 5.88904i) q^{71} +(3.17521 + 7.86880i) q^{72} +(1.56692 - 8.88643i) q^{73} +(8.05990 + 2.12393i) q^{74} +(-2.35143 + 3.78241i) q^{75} +(-4.04992 - 7.71999i) q^{76} +(2.22264 - 1.28324i) q^{77} +(3.75405 + 15.7959i) q^{78} +(-6.78987 + 8.09186i) q^{79} +(-2.22871 - 5.82159i) q^{80} +(6.08345 + 6.63262i) q^{81} +(-0.0679072 - 0.740852i) q^{82} +4.95989 q^{83} +(-2.40056 - 2.11592i) q^{84} +(0.624099 + 3.53944i) q^{85} +(0.773148 + 8.43487i) q^{86} +(7.36683 - 3.93877i) q^{87} +(1.93947 - 7.61520i) q^{88} +(4.70122 - 0.828952i) q^{89} +(-4.38114 - 4.95186i) q^{90} +(-3.93569 - 4.69038i) q^{91} +(-11.9630 - 14.0196i) q^{92} +(4.76432 - 5.31584i) q^{93} +(4.09940 - 1.93228i) q^{94} +(4.98476 + 4.61477i) q^{95} +(-9.77015 + 0.737629i) q^{96} +(0.862927 - 4.89390i) q^{97} +(-8.40577 - 2.21507i) q^{98} +(-0.909361 - 8.28522i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 696 q - 9 q^{2} - 3 q^{4} - 18 q^{5} - 6 q^{6} - 18 q^{9} - 12 q^{10} - 3 q^{12} - 6 q^{13} - 9 q^{14} - 3 q^{16} - 12 q^{18} - 18 q^{20} + 24 q^{21} + 9 q^{22} + 45 q^{24} - 6 q^{25} + 72 q^{26} - 18 q^{29}+ \cdots + 45 q^{98}+O(q^{100}) \) 696 * q - 9 * q^2 - 3 * q^4 - 18 * q^5 - 6 * q^6 - 18 * q^9 - 12 * q^10 - 3 * q^12 - 6 * q^13 - 9 * q^14 - 3 * q^16 - 12 * q^18 - 18 * q^20 + 24 * q^21 + 9 * q^22 + 45 * q^24 - 6 * q^25 + 72 * q^26 - 18 * q^29 - 9 * q^32 + 12 * q^33 + 15 * q^34 - 66 * q^36 - 48 * q^37 - 9 * q^38 + 12 * q^40 - 108 * q^41 + 126 * q^42 + 135 * q^44 - 6 * q^45 - 6 * q^46 - 18 * q^48 - 564 * q^49 - 9 * q^50 - 3 * q^52 - 66 * q^54 + 45 * q^56 - 12 * q^57 - 6 * q^58 + 9 * q^60 - 6 * q^61 - 18 * q^62 + 12 * q^64 - 18 * q^65 - 18 * q^66 - 6 * q^69 + 18 * q^70 + 12 * q^72 + 12 * q^73 - 90 * q^74 - 3 * q^76 - 36 * q^77 - 21 * q^78 + 18 * q^81 - 12 * q^82 + 81 * q^84 - 6 * q^85 - 9 * q^86 + 90 * q^88 - 117 * q^90 - 9 * q^92 - 30 * q^93 - 6 * q^94 - 87 * q^96 + 12 * q^97 + 45 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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