LMFDB - Embedded newform 798.2.ca.a.325.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [798,2,Mod(325,798)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(798, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 3, 1]))

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

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

chi := DirichletCharacter("798.325");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 798 = 2 \cdot 3 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	798.ca (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:	$6.37206208130$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$12$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			325.4
Character	$\chi$	$=$	798.325
Dual form			798.2.ca.a.523.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.342020 - 0.939693i) q^{2} +(0.939693 - 0.342020i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(0.844771 - 1.00676i) q^{5} +(-0.642788 - 0.766044i) q^{6} +(0.904402 + 2.48637i) q^{7} +(0.866025 + 0.500000i) q^{8} +(0.766044 - 0.642788i) q^{9} +O(q^{10})$	\(q+(-0.342020 - 0.939693i) q^{2} +(0.939693 - 0.342020i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(0.844771 - 1.00676i) q^{5} +(-0.642788 - 0.766044i) q^{6} +(0.904402 + 2.48637i) q^{7} +(0.866025 + 0.500000i) q^{8} +(0.766044 - 0.642788i) q^{9} +(-1.23497 - 0.449493i) q^{10} +(-0.404958 - 0.701408i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(3.78103 - 3.17266i) q^{13} +(2.02710 - 1.70025i) q^{14} +(0.449493 - 1.23497i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-3.86858 + 4.61039i) q^{17} +(-0.866025 - 0.500000i) q^{18} +(3.99500 - 1.74354i) q^{19} +1.31423i q^{20} +(1.70025 + 2.02710i) q^{21} +(-0.520604 + 0.620432i) q^{22} +(-0.564443 - 3.20112i) q^{23} +(0.984808 + 0.173648i) q^{24} +(0.568316 + 3.22308i) q^{25} +(-4.27451 - 2.46789i) q^{26} +(0.500000 - 0.866025i) q^{27} +(-2.29102 - 1.32333i) q^{28} +(5.40239 - 0.952587i) q^{29} -1.31423 q^{30} +8.86290 q^{31} +(-0.984808 + 0.173648i) q^{32} +(-0.620432 - 0.520604i) q^{33} +(5.65549 + 2.05843i) q^{34} +(3.26719 + 1.18990i) q^{35} +(-0.173648 + 0.984808i) q^{36} +(6.12129 - 3.53413i) q^{37} +(-3.00477 - 3.15775i) q^{38} +(2.46789 - 4.27451i) q^{39} +(1.23497 - 0.449493i) q^{40} +(-7.12752 - 5.98070i) q^{41} +(1.32333 - 2.29102i) q^{42} +(-5.98400 + 2.17800i) q^{43} +(0.761073 + 0.277008i) q^{44} -1.31423i q^{45} +(-2.81502 + 1.62525i) q^{46} +(1.26894 + 1.51227i) q^{47} +(-0.173648 - 0.984808i) q^{48} +(-5.36411 + 4.49737i) q^{49} +(2.83433 - 1.63640i) q^{50} +(-2.05843 + 5.65549i) q^{51} +(-0.857090 + 4.86080i) q^{52} +(-7.20792 - 8.59007i) q^{53} +(-0.984808 - 0.173648i) q^{54} +(-1.04825 - 0.184834i) q^{55} +(-0.459952 + 2.60546i) q^{56} +(3.15775 - 3.00477i) q^{57} +(-2.74287 - 4.75078i) q^{58} +(6.20732 + 5.20856i) q^{59} +(0.449493 + 1.23497i) q^{60} +(-2.48341 + 0.437893i) q^{61} +(-3.03129 - 8.32840i) q^{62} +(2.29102 + 1.32333i) q^{63} +(0.500000 + 0.866025i) q^{64} -6.48676i q^{65} +(-0.277008 + 0.761073i) q^{66} +(2.41057 - 6.62299i) q^{67} -6.01844i q^{68} +(-1.62525 - 2.81502i) q^{69} +(0.000696359 - 3.47713i) q^{70} +(3.21524 + 8.83381i) q^{71} +(0.984808 - 0.173648i) q^{72} +(-0.0625393 - 0.171825i) q^{73} +(-5.41460 - 4.54339i) q^{74} +(1.63640 + 2.83433i) q^{75} +(-1.93962 + 3.90357i) q^{76} +(1.37772 - 1.64123i) q^{77} +(-4.86080 - 0.857090i) q^{78} +(-12.3522 - 2.17803i) q^{79} +(-0.844771 - 1.00676i) q^{80} +(0.173648 - 0.984808i) q^{81} +(-3.18226 + 8.74320i) q^{82} +(10.9268 - 6.30858i) q^{83} +(-2.60546 - 0.459952i) q^{84} +(1.37349 + 7.78945i) q^{85} +(4.09330 + 4.87820i) q^{86} +(4.75078 - 2.74287i) q^{87} -0.809917i q^{88} +(-8.34574 - 3.03760i) q^{89} +(-1.23497 + 0.449493i) q^{90} +(11.3080 + 6.53169i) q^{91} +(2.49003 + 2.08938i) q^{92} +(8.32840 - 3.03129i) q^{93} +(0.987062 - 1.70964i) q^{94} +(1.61954 - 5.49490i) q^{95} +(-0.866025 + 0.500000i) q^{96} +(-3.23561 + 18.3501i) q^{97} +(6.06078 + 3.50243i) q^{98} +(-0.761073 - 0.277008i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 6 q^{7}+O(q^{10}) $ 72 * q - 6 * q^7	$ 72 q - 6 q^{7} + 6 q^{10} + 6 q^{11} - 36 q^{12} + 30 q^{13} - 12 q^{14} + 18 q^{17} + 54 q^{19} - 12 q^{21} + 12 q^{22} - 6 q^{23} + 24 q^{25} + 18 q^{26} + 36 q^{27} + 6 q^{28} - 12 q^{31} - 6 q^{33} + 6 q^{34} - 24 q^{35} + 18 q^{37} - 24 q^{38} - 6 q^{40} + 18 q^{42} + 6 q^{43} - 6 q^{44} + 18 q^{46} - 18 q^{47} + 12 q^{49} + 42 q^{52} - 12 q^{53} - 30 q^{55} + 18 q^{56} + 6 q^{57} - 78 q^{59} - 42 q^{61} - 12 q^{62} - 6 q^{63} + 36 q^{64} - 6 q^{66} - 6 q^{67} + 6 q^{69} - 54 q^{70} + 6 q^{71} + 12 q^{73} - 6 q^{75} - 18 q^{76} + 48 q^{77} - 12 q^{78} - 12 q^{79} + 12 q^{82} + 18 q^{83} - 6 q^{84} + 84 q^{85} + 6 q^{86} - 24 q^{89} + 6 q^{90} + 48 q^{91} + 6 q^{92} + 48 q^{93} - 18 q^{94} - 120 q^{95} + 30 q^{97} + 60 q^{98} + 6 q^{99}+O(q^{100}) $ 72 * q - 6 * q^7 + 6 * q^10 + 6 * q^11 - 36 * q^12 + 30 * q^13 - 12 * q^14 + 18 * q^17 + 54 * q^19 - 12 * q^21 + 12 * q^22 - 6 * q^23 + 24 * q^25 + 18 * q^26 + 36 * q^27 + 6 * q^28 - 12 * q^31 - 6 * q^33 + 6 * q^34 - 24 * q^35 + 18 * q^37 - 24 * q^38 - 6 * q^40 + 18 * q^42 + 6 * q^43 - 6 * q^44 + 18 * q^46 - 18 * q^47 + 12 * q^49 + 42 * q^52 - 12 * q^53 - 30 * q^55 + 18 * q^56 + 6 * q^57 - 78 * q^59 - 42 * q^61 - 12 * q^62 - 6 * q^63 + 36 * q^64 - 6 * q^66 - 6 * q^67 + 6 * q^69 - 54 * q^70 + 6 * q^71 + 12 * q^73 - 6 * q^75 - 18 * q^76 + 48 * q^77 - 12 * q^78 - 12 * q^79 + 12 * q^82 + 18 * q^83 - 6 * q^84 + 84 * q^85 + 6 * q^86 - 24 * q^89 + 6 * q^90 + 48 * q^91 + 6 * q^92 + 48 * q^93 - 18 * q^94 - 120 * q^95 + 30 * q^97 + 60 * q^98 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/798\mathbb{Z}\right)^\times$.

$n$	$115$	$211$	$533$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{18}\right)$	$1$

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 $

$2$	−0.342020	−	0.939693i	−0.241845	−	0.664463i
$2$	−0.342020	−	0.939693i	−0.241845	−	0.664463i
$3$	0.939693	−	0.342020i	0.542532	−	0.197465i
$3$	0.939693	−	0.342020i	0.542532	−	0.197465i
$4$	−0.766044	+	0.642788i	−0.383022	+	0.321394i
$5$	0.844771	−	1.00676i	0.377793	−	0.450236i	−0.543323	−	0.839523i	$-0.682834\pi$
$5$	0.844771	−	1.00676i	0.377793	−	0.450236i	0.921116	+	0.389287i	$0.127279\pi$
$6$	−0.642788	−	0.766044i	−0.262417	−	0.312736i
$7$	0.904402	+	2.48637i	0.341832	+	0.939761i
$7$	0.904402	+	2.48637i	0.341832	+	0.939761i
$8$	0.866025	+	0.500000i	0.306186	+	0.176777i
$9$	0.766044	−	0.642788i	0.255348	−	0.214263i
$10$	−1.23497	−	0.449493i	−0.390532	−	0.142142i
$11$	−0.404958	−	0.701408i	−0.122100	−	0.211483i	0.798496	−	0.602000i	$-0.205629\pi$
$11$	−0.404958	−	0.701408i	−0.122100	−	0.211483i	−0.920595	+	0.390518i	$0.872296\pi$
$12$	−0.500000	+	0.866025i	−0.144338	+	0.250000i
$13$	3.78103	−	3.17266i	1.04867	−	0.879938i	0.0557161	−	0.998447i	$-0.482256\pi$
$13$	3.78103	−	3.17266i	1.04867	−	0.879938i	0.992953	+	0.118509i	$0.0378114\pi$
$14$	2.02710	−	1.70025i	0.541766	−	0.454411i
$15$	0.449493	−	1.23497i	0.116059	−	0.318868i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	−3.86858	+	4.61039i	−0.938268	+	1.11818i	0.0545449	+	0.998511i	$0.482629\pi$
$17$	−3.86858	+	4.61039i	−0.938268	+	1.11818i	−0.992813	+	0.119673i	$0.961815\pi$
$18$	−0.866025	−	0.500000i	−0.204124	−	0.117851i
$19$	3.99500	−	1.74354i	0.916517	−	0.399996i
$19$	3.99500	−	1.74354i	0.916517	−	0.399996i
$20$			1.31423i			0.293871i
$21$	1.70025	+	2.02710i	0.371025	+	0.442350i
$22$	−0.520604	+	0.620432i	−0.110993	+	0.132277i
$23$	−0.564443	−	3.20112i	−0.117695	−	0.667479i	−0.985381	−	0.170367i	$-0.945505\pi$
$23$	−0.564443	−	3.20112i	−0.117695	−	0.667479i	0.867686	−	0.497112i	$-0.165606\pi$
$24$	0.984808	+	0.173648i	0.201023	+	0.0354458i
$25$	0.568316	+	3.22308i	0.113663	+	0.644616i
$26$	−4.27451	−	2.46789i	−0.838301	−	0.483993i
$27$	0.500000	−	0.866025i	0.0962250	−	0.166667i
$28$	−2.29102	−	1.32333i	−0.432963	−	0.250087i
$29$	5.40239	−	0.952587i	1.00320	−	0.176891i	0.352164	−	0.935938i	$-0.385446\pi$
$29$	5.40239	−	0.952587i	1.00320	−	0.176891i	0.651035	+	0.759047i	$0.274335\pi$
$30$	−1.31423			−0.239944
$31$	8.86290			1.59182			0.795912	−	0.605412i	$-0.206992\pi$
$31$	8.86290			1.59182			0.795912	+	0.605412i	$0.206992\pi$
$32$	−0.984808	+	0.173648i	−0.174091	+	0.0306970i
$33$	−0.620432	−	0.520604i	−0.108003	−	0.0906256i
$34$	5.65549	+	2.05843i	0.969908	+	0.353018i
$35$	3.26719	+	1.18990i	0.552256	+	0.201130i
$36$	−0.173648	+	0.984808i	−0.0289414	+	0.164135i
$37$	6.12129	−	3.53413i	1.00633	−	0.581007i	0.0962174	−	0.995360i	$-0.469326\pi$
$37$	6.12129	−	3.53413i	1.00633	−	0.581007i	0.910116	+	0.414353i	$0.135992\pi$
$38$	−3.00477	−	3.15775i	−0.487437	−	0.512255i
$39$	2.46789	−	4.27451i	0.395179	−	0.684470i
$40$	1.23497	−	0.449493i	0.195266	−	0.0710711i
$41$	−7.12752	−	5.98070i	−1.11313	−	0.934028i	−0.114894	−	0.993378i	$-0.536653\pi$
$41$	−7.12752	−	5.98070i	−1.11313	−	0.934028i	−0.998237	+	0.0593495i	$0.981097\pi$
$42$	1.32333	−	2.29102i	0.204195	−	0.353513i
$43$	−5.98400	+	2.17800i	−0.912552	+	0.332142i	−0.755271	−	0.655412i	$-0.772495\pi$
$43$	−5.98400	+	2.17800i	−0.912552	+	0.332142i	−0.157280	+	0.987554i	$0.550273\pi$
$44$	0.761073	+	0.277008i	0.114736	+	0.0417605i
$45$		−	1.31423i		−	0.195914i
$46$	−2.81502	+	1.62525i	−0.415051	+	0.239630i
$47$	1.26894	+	1.51227i	0.185094	+	0.220587i	0.850610	−	0.525797i	$-0.176233\pi$
$47$	1.26894	+	1.51227i	0.185094	+	0.220587i	−0.665516	+	0.746384i	$0.731788\pi$
$48$	−0.173648	−	0.984808i	−0.0250640	−	0.142145i
$49$	−5.36411	+	4.49737i	−0.766302	+	0.642481i
$50$	2.83433	−	1.63640i	0.400834	−	0.231422i
$51$	−2.05843	+	5.65549i	−0.288238	+	0.791926i
$52$	−0.857090	+	4.86080i	−0.118857	+	0.674071i
$53$	−7.20792	−	8.59007i	−0.990084	−	1.17994i	−0.983674	−	0.179957i	$-0.942404\pi$
$53$	−7.20792	−	8.59007i	−0.990084	−	1.17994i	−0.00640999	−	0.999979i	$-0.502040\pi$
$54$	−0.984808	−	0.173648i	−0.134015	−	0.0236305i
$55$	−1.04825	−	0.184834i	−0.141345	−	0.0249230i
$56$	−0.459952	+	2.60546i	−0.0614636	+	0.348170i
$57$	3.15775	−	3.00477i	0.418254	−	0.397991i
$58$	−2.74287	−	4.75078i	−0.360156	−	0.623808i
$59$	6.20732	+	5.20856i	0.808124	+	0.678097i	0.950159	−	0.311765i	$-0.100920\pi$
$59$	6.20732	+	5.20856i	0.808124	+	0.678097i	−0.142035	+	0.989862i	$0.545365\pi$
$60$	0.449493	+	1.23497i	0.0580293	+	0.159434i
$61$	−2.48341	+	0.437893i	−0.317968	+	0.0560664i	−0.330355	−	0.943857i	$-0.607168\pi$
$61$	−2.48341	+	0.437893i	−0.317968	+	0.0560664i	0.0123863	+	0.999923i	$0.496057\pi$
$62$	−3.03129	−	8.32840i	−0.384974	−	1.05771i
$63$	2.29102	+	1.32333i	0.288642	+	0.166724i
$64$	0.500000	+	0.866025i	0.0625000	+	0.108253i
$65$		−	6.48676i		−	0.804583i
$66$	−0.277008	+	0.761073i	−0.0340973	+	0.0936816i
$67$	2.41057	−	6.62299i	0.294498	−	0.809127i	−0.700896	−	0.713263i	$-0.747216\pi$
$67$	2.41057	−	6.62299i	0.294498	−	0.809127i	0.995394	−	0.0958638i	$-0.0305613\pi$
$68$		−	6.01844i		−	0.729843i
$69$	−1.62525	−	2.81502i	−0.195657	−	0.338888i
$70$	0.000696359	−	3.47713i	8.32308e−5	−	0.415596i
$71$	3.21524	+	8.83381i	0.381579	+	1.04838i	0.970691	+	0.240329i	$0.0772554\pi$
$71$	3.21524	+	8.83381i	0.381579	+	1.04838i	−0.589112	+	0.808051i	$0.700522\pi$
$72$	0.984808	−	0.173648i	0.116061	−	0.0204646i
$73$	−0.0625393	−	0.171825i	−0.00731967	−	0.0201106i	0.935979	−	0.352056i	$-0.114517\pi$
$73$	−0.0625393	−	0.171825i	−0.00731967	−	0.0201106i	−0.943299	+	0.331945i	$0.892295\pi$
$74$	−5.41460	−	4.54339i	−0.629434	−	0.528158i
$75$	1.63640	+	2.83433i	0.188955	+	0.327280i
$76$	−1.93962	+	3.90357i	−0.222490	+	0.447770i
$77$	1.37772	−	1.64123i	0.157006	−	0.187036i
$78$	−4.86080	−	0.857090i	−0.550377	−	0.0970463i
$79$	−12.3522	−	2.17803i	−1.38973	−	0.245048i	−0.571816	−	0.820382i	$-0.693761\pi$
$79$	−12.3522	−	2.17803i	−1.38973	−	0.245048i	−0.817919	+	0.575334i	$0.804872\pi$
$80$	−0.844771	−	1.00676i	−0.0944482	−	0.112559i
$81$	0.173648	−	0.984808i	0.0192942	−	0.109423i
$82$	−3.18226	+	8.74320i	−0.351422	+	0.965525i
$83$	10.9268	−	6.30858i	1.19937	−	0.692457i	0.238955	−	0.971031i	$-0.423195\pi$
$83$	10.9268	−	6.30858i	1.19937	−	0.692457i	0.960415	+	0.278574i	$0.0898617\pi$
$84$	−2.60546	−	0.459952i	−0.284279	−	0.0501848i
$85$	1.37349	+	7.78945i	0.148976	+	0.844885i
$86$	4.09330	+	4.87820i	0.441392	+	0.526030i
$87$	4.75078	−	2.74287i	0.509337	−	0.294066i
$88$		−	0.809917i		−	0.0863374i
$89$	−8.34574	−	3.03760i	−0.884647	−	0.321985i	−0.140563	−	0.990072i	$-0.544891\pi$
$89$	−8.34574	−	3.03760i	−0.884647	−	0.321985i	−0.744084	+	0.668087i	$0.767114\pi$
$90$	−1.23497	+	0.449493i	−0.130177	+	0.0473807i
$91$	11.3080	+	6.53169i	1.18540	+	0.684708i
$92$	2.49003	+	2.08938i	0.259603	+	0.217833i
$93$	8.32840	−	3.03129i	0.863615	−	0.314330i
$94$	0.987062	−	1.70964i	0.101808	−	0.176336i
$95$	1.61954	−	5.49490i	0.166161	−	0.563765i
$96$	−0.866025	+	0.500000i	−0.0883883	+	0.0510310i
$97$	−3.23561	+	18.3501i	−0.328527	+	1.86317i	0.155106	+	0.987898i	$0.450428\pi$
$97$	−3.23561	+	18.3501i	−0.328527	+	1.86317i	−0.483633	+	0.875271i	$0.660683\pi$
$98$	6.06078	+	3.50243i	0.612231	+	0.353799i
$99$	−0.761073	−	0.277008i	−0.0764907	−	0.0278403i
$100$	−2.50711	−	2.10372i	−0.250711	−	0.210372i
$101$	0.143641	−	0.0253277i	0.0142928	−	0.00252020i	−0.166497	−	0.986042i	$-0.553246\pi$
$101$	0.143641	−	0.0253277i	0.0142928	−	0.00252020i	0.180790	+	0.983522i	$0.442135\pi$
$102$	6.01844			0.595915
$103$	−16.3055			−1.60663			−0.803313	−	0.595558i	$-0.796931\pi$
$103$	−16.3055			−1.60663			−0.803313	+	0.595558i	$0.796931\pi$
$104$	4.86080	−	0.857090i	0.476641	−	0.0840446i
$105$	3.47713		0.000696359i	0.339333		6.79576e-5i
$106$	−5.60677	+	9.71121i	−0.544578	+	0.943236i
$107$	−0.463068	−	0.267353i	−0.0447665	−	0.0258460i	0.477450	−	0.878659i	$-0.341561\pi$
$107$	−0.463068	−	0.267353i	−0.0447665	−	0.0258460i	−0.522216	+	0.852813i	$0.674895\pi$
$108$	0.173648	+	0.984808i	0.0167093	+	0.0947632i
$109$	−6.59892	−	1.16357i	−0.632061	−	0.111449i	−0.151567	−	0.988447i	$-0.548432\pi$
$109$	−6.59892	−	1.16357i	−0.632061	−	0.111449i	−0.480495	+	0.876998i	$0.659543\pi$
$110$	0.184834	+	1.04825i	0.0176232	+	0.0999463i
$111$	4.54339	−	5.41460i	0.431239	−	0.513931i
$112$	2.60565	−	0.458908i	0.246211	−	0.0433627i
$113$		−	1.19923i		−	0.112814i	−0.998408	−	0.0564072i	$-0.982035\pi$
$113$		−	1.19923i		−	0.112814i	0.998408	−	0.0564072i	$-0.0179645\pi$
$114$	−3.90357	−	1.93962i	−0.365603	−	0.181662i
$115$	−3.69958	−	2.13595i	−0.344987	−	0.199179i
$116$	−3.52616	+	4.20231i	−0.327396	+	0.390175i
$117$	0.857090	−	4.86080i	0.0792380	−	0.449381i
$118$	2.77142	−	7.61441i	0.255130	−	0.700963i
$119$	−14.9619	−	5.44909i	−1.37156	−	0.499517i
$120$	1.00676	−	0.844771i	0.0919041	−	0.0771167i
$121$	5.17202	−	8.95820i	0.470183	−	0.814382i
$122$	1.26086	+	2.18388i	0.114153	+	0.197719i
$123$	−8.74320	−	3.18226i	−0.788348	−	0.286935i
$124$	−6.78938	+	5.69696i	−0.609704	+	0.511603i
$125$	9.41574	+	5.43618i	0.842169	+	0.486227i
$126$	0.459952	−	2.60546i	0.0409758	−	0.232113i
$127$	11.2237	+	13.3759i	0.995942	+	1.18692i	0.982358	+	0.187010i	$0.0598795\pi$
$127$	11.2237	+	13.3759i	0.995942	+	1.18692i	0.0135837	+	0.999908i	$0.495676\pi$
$128$	0.642788	−	0.766044i	0.0568149	−	0.0677094i
$129$	−4.87820	+	4.09330i	−0.429502	+	0.360395i
$130$	−6.09556	+	2.21860i	−0.534616	+	0.194584i
$131$	−4.85212	−	13.3311i	−0.423932	−	1.16474i	−0.949438	−	0.313954i	$-0.898346\pi$
$131$	−4.85212	−	13.3311i	−0.423932	−	1.16474i	0.525506	−	0.850790i	$-0.323876\pi$
$132$	0.809917			0.0704942
$133$	7.94819	+	8.35621i	0.689195	+	0.724576i
$134$	−7.04804			−0.608858
$135$	−0.449493	−	1.23497i	−0.0386862	−	0.106289i
$136$	−5.65549	+	2.05843i	−0.484954	+	0.176509i
$137$	−15.3233	+	12.8578i	−1.30916	+	1.09851i	−0.320675	+	0.947189i	$0.603910\pi$
$137$	−15.3233	+	12.8578i	−1.30916	+	1.09851i	−0.988484	+	0.151326i	$0.951646\pi$
$138$	−2.08938	+	2.49003i	−0.177860	+	0.211965i
$139$	0.103374	+	0.123197i	0.00876808	+	0.0104494i	0.770411	−	0.637548i	$-0.220051\pi$
$139$	0.103374	+	0.123197i	0.00876808	+	0.0104494i	−0.761643	+	0.647997i	$0.775607\pi$
$140$	−3.26767	+	1.18859i	−0.276168	+	0.100454i
$141$	1.70964	+	0.987062i	0.143978	+	0.0831256i
$142$	7.20139	−	6.04268i	0.604327	−	0.507091i
$143$	−3.75649	−	1.36725i	−0.314133	−	0.114335i
$144$	−0.500000	−	0.866025i	−0.0416667	−	0.0721688i
$145$	3.60476	−	6.24362i	0.299359	−	0.518505i
$146$	−0.140073	+	0.117535i	−0.0115925	+	0.00972730i
$147$	−3.50243	+	6.06078i	−0.288875	+	0.499884i
$148$	−2.41749	+	6.64199i	−0.198716	+	0.545968i
$149$	−3.02436	+	17.1520i	−0.247765	+	1.40514i	0.566218	+	0.824256i	$0.308406\pi$
$149$	−3.02436	+	17.1520i	−0.247765	+	1.40514i	−0.813983	+	0.580889i	$0.802705\pi$
$150$	2.10372	−	2.50711i	0.171768	−	0.204705i
$151$	9.87737	+	5.70270i	0.803809	+	0.464079i	0.844801	−	0.535080i	$-0.179719\pi$
$151$	9.87737	+	5.70270i	0.803809	+	0.464079i	−0.0409922	+	0.999159i	$0.513052\pi$
$152$	4.33155	+	0.487551i	0.351335	+	0.0395456i
$153$			6.01844i			0.486562i
$154$	−2.01346	−	0.733297i	−0.162249	−	0.0590908i
$155$	7.48712	−	8.92280i	0.601380	−	0.716697i
$156$	0.857090	+	4.86080i	0.0686221	+	0.389175i
$157$	−7.68869	−	1.35572i	−0.613624	−	0.108198i	−0.141806	−	0.989894i	$-0.545291\pi$
$157$	−7.68869	−	1.35572i	−0.613624	−	0.108198i	−0.471818	+	0.881696i	$0.656402\pi$
$158$	2.17803	+	12.3522i	0.173275	+	0.982691i
$159$	−9.71121	−	5.60677i	−0.770149	−	0.444646i
$160$	−0.657115	+	1.13816i	−0.0519495	+	0.0899792i
$161$	7.44869	−	4.29852i	0.587039	−	0.338770i
$162$	−0.984808	+	0.173648i	−0.0773738	+	0.0136431i
$163$	13.2282			1.03611			0.518057	−	0.855346i	$-0.326655\pi$
$163$	13.2282			1.03611			0.518057	+	0.855346i	$0.326655\pi$
$164$	9.30432			0.726545
$165$	−1.04825	+	0.184834i	−0.0816058	+	0.0143893i
$166$	−9.66531	−	8.11016i	−0.750173	−	0.629470i
$167$	−10.1274	−	3.68607i	−0.783681	−	0.285236i	−0.0809742	−	0.996716i	$-0.525803\pi$
$167$	−10.1274	−	3.68607i	−0.783681	−	0.285236i	−0.702707	+	0.711480i	$0.748025\pi$
$168$	0.458908	+	2.60565i	0.0354055	+	0.201030i
$169$	1.97298	−	11.1894i	0.151768	−	0.860719i
$170$	6.84993	−	3.95481i	0.525366	−	0.303320i
$171$	1.93962	−	3.90357i	0.148327	−	0.298513i
$172$	3.18402	−	5.51489i	0.242779	−	0.420506i
$173$	−11.4000	+	4.14927i	−0.866728	+	0.315463i	−0.736841	−	0.676066i	$-0.763684\pi$
$173$	−11.4000	+	4.14927i	−0.866728	+	0.315463i	−0.129887	+	0.991529i	$0.541461\pi$
$174$	−4.20231	−	3.52616i	−0.318577	−	0.267318i
$175$	−7.49979	+	4.32801i	−0.566931	+	0.327166i
$176$	−0.761073	+	0.277008i	−0.0573680	+	0.0208802i
$177$	7.61441	+	2.77142i	0.572334	+	0.208312i
$178$			8.88135i			0.665686i
$179$	5.40316	−	3.11951i	0.403851	−	0.233163i	−0.284293	−	0.958737i	$-0.591759\pi$
$179$	5.40316	−	3.11951i	0.403851	−	0.233163i	0.688144	+	0.725574i	$0.258426\pi$
$180$	0.844771	+	1.00676i	0.0629655	+	0.0750394i
$181$	3.81337	+	21.6267i	0.283445	+	1.60750i	0.710786	+	0.703408i	$0.248339\pi$
$181$	3.81337	+	21.6267i	0.283445	+	1.60750i	−0.427341	+	0.904091i	$0.640550\pi$
$182$	2.27022	−	12.8600i	0.168280	−	0.953247i
$183$	−2.18388	+	1.26086i	−0.161437	+	0.0932056i
$184$	1.11174	−	3.05447i	0.0819583	−	0.225179i
$185$	1.61307	−	9.14819i	0.118595	−	0.672588i
$186$	−5.69696	−	6.78938i	−0.417722	−	0.497821i
$187$	4.80038	+	0.846437i	0.351039	+	0.0618976i
$188$	−1.94413	−	0.342803i	−0.141790	−	0.0250015i
$189$	2.60546	+	0.459952i	0.189520	+	0.0334566i
$190$	−5.71743	+	0.357498i	−0.414786	+	0.0259356i
$191$	−0.260380	−	0.450992i	−0.0188405	−	0.0326326i	0.856451	−	0.516228i	$-0.172664\pi$
$191$	−0.260380	−	0.450992i	−0.0188405	−	0.0326326i	−0.875292	+	0.483595i	$0.839331\pi$
$192$	0.766044	+	0.642788i	0.0552845	+	0.0463892i
$193$	8.41761	+	23.1272i	0.605913	+	1.66473i	0.739063	+	0.673637i	$0.235269\pi$
$193$	8.41761	+	23.1272i	0.605913	+	1.66473i	−0.133149	+	0.991096i	$0.542509\pi$
$194$	18.3501	−	3.23561i	1.31746	−	0.232304i
$195$	−2.21860	−	6.09556i	−0.158877	−	0.436512i
$196$	1.21830	−	6.89317i	0.0870213	−	0.492369i
$197$	0.736074	+	1.27492i	0.0524431	+	0.0908341i	0.891055	−	0.453895i	$-0.149966\pi$
$197$	0.736074	+	1.27492i	0.0524431	+	0.0908341i	−0.838612	+	0.544729i	$0.816633\pi$
$198$			0.809917i			0.0575583i
$199$	−6.65758	+	18.2915i	−0.471943	+	1.29665i	0.444245	+	0.895905i	$0.353472\pi$
$199$	−6.65758	+	18.2915i	−0.471943	+	1.29665i	−0.916188	+	0.400748i	$0.868750\pi$
$200$	−1.11936	+	3.07543i	−0.0791509	+	0.217465i
$201$		−	7.04804i		−	0.497130i
$202$	−0.0729283	−	0.126315i	−0.00513122	−	0.00888753i
$203$	7.25442	+	12.5708i	0.509161	+	0.882300i
$204$	−2.05843	−	5.65549i	−0.144119	−	0.395963i
$205$	−12.0422	+	2.12337i	−0.841066	+	0.148303i
$206$	5.57680	+	15.3221i	0.388554	+	1.06754i
$207$	−2.49003	−	2.08938i	−0.173069	−	0.145222i
$208$	−2.46789	−	4.27451i	−0.171118	−	0.296384i
$209$	−2.84074	−	2.09607i	−0.196498	−	0.144988i
$210$	−1.18859	−	3.26767i	−0.0820207	−	0.225490i
$211$	−1.24670	−	0.219827i	−0.0858265	−	0.0151335i	0.130570	−	0.991439i	$-0.458319\pi$
$211$	−1.24670	−	0.219827i	−0.0858265	−	0.0151335i	−0.216397	+	0.976306i	$0.569430\pi$
$212$	11.0432	+	1.94721i	0.758449	+	0.133735i
$213$	6.04268	+	7.20139i	0.414038	+	0.493431i
$214$	−0.0928506	+	0.526582i	−0.00634714	+	0.0359964i
$215$	−2.86239	+	7.86435i	−0.195213	+	0.536344i
$216$	0.866025	−	0.500000i	0.0589256	−	0.0340207i
$217$	8.01563	+	22.0365i	0.544136	+	1.49593i
$218$	1.16357	+	6.59892i	0.0788067	+	0.446935i
$219$	−0.117535	−	0.140073i	−0.00794231	−	0.00946527i
$220$	0.921812	−	0.532208i	0.0621485	−	0.0358815i
$221$			29.7057i			1.99822i
$222$	−6.64199	−	2.41749i	−0.445781	−	0.162251i
$223$	−10.8793	+	3.95973i	−0.728531	+	0.265163i	−0.679543	−	0.733636i	$-0.737822\pi$
$223$	−10.8793	+	3.95973i	−0.728531	+	0.265163i	−0.0489878	+	0.998799i	$0.515600\pi$
$224$	−1.32242	−	2.29155i	−0.0883577	−	0.153111i
$225$	2.50711	+	2.10372i	0.167141	+	0.140248i
$226$	−1.12691	+	0.410162i	−0.0749610	+	0.0272836i
$227$	4.21464	−	7.29998i	0.279736	−	0.484517i	−0.691583	−	0.722297i	$-0.743086\pi$
$227$	4.21464	−	7.29998i	0.279736	−	0.484517i	0.971319	+	0.237780i	$0.0764198\pi$
$228$	−0.487551	+	4.33155i	−0.0322889	+	0.286864i
$229$	−10.4330	+	6.02350i	−0.689432	+	0.398044i	−0.803399	−	0.595441i	$-0.796977\pi$
$229$	−10.4330	+	6.02350i	−0.689432	+	0.398044i	0.113967	+	0.993485i	$0.463644\pi$
$230$	−0.741808	+	4.20700i	−0.0489134	+	0.277402i
$231$	0.733297	−	2.01346i	0.0482474	−	0.132476i
$232$	5.15490	+	1.87623i	0.338436	+	0.123181i
$233$	−6.41102	−	5.37948i	−0.420000	−	0.352422i	0.408163	−	0.912909i	$-0.366169\pi$
$233$	−6.41102	−	5.37948i	−0.420000	−	0.352422i	−0.828163	+	0.560487i	$0.810614\pi$
$234$	−4.86080	+	0.857090i	−0.317760	+	0.0560297i
$235$	2.59445			0.169243
$236$	−8.10308			−0.527466
$237$	−12.3522	+	2.17803i	−0.802364	+	0.141478i
$238$	−0.00318893	+	15.9233i	−0.000206708	+	1.03215i
$239$	−1.93735	+	3.35559i	−0.125317	+	0.217055i	−0.921857	−	0.387531i	$-0.873328\pi$
$239$	−1.93735	+	3.35559i	−0.125317	+	0.217055i	0.796540	+	0.604586i	$0.206661\pi$
$240$	−1.13816	−	0.657115i	−0.0734677	−	0.0424166i
$241$	−4.11483	−	23.3364i	−0.265059	−	1.50323i	−0.768866	−	0.639410i	$-0.779179\pi$
$241$	−4.11483	−	23.3364i	−0.265059	−	1.50323i	0.503806	−	0.863817i	$-0.331933\pi$
$242$	−10.1869	−	1.79622i	−0.654838	−	0.115466i
$243$	−0.173648	−	0.984808i	−0.0111395	−	0.0631754i
$244$	1.62093	−	1.93175i	0.103770	−	0.123668i
$245$	−0.00368478	+	9.19961i	−0.000235412	+	0.587741i
$246$			9.30432i			0.593222i
$247$	9.57357	−	19.2672i	0.609152	−	1.22594i
$248$	7.67550	+	4.43145i	0.487395	+	0.281397i
$249$	8.11016	−	9.66531i	0.513960	−	0.612514i
$250$	1.88797	−	10.7072i	0.119405	−	0.677182i
$251$	−8.80493	+	24.1913i	−0.555762	+	1.52694i	0.269963	+	0.962871i	$0.412988\pi$
$251$	−8.80493	+	24.1913i	−0.555762	+	1.52694i	−0.825725	+	0.564073i	$0.809234\pi$
$252$	−2.60565	+	0.458908i	−0.164140	+	0.0289085i
$253$	−2.01671	+	1.69222i	−0.126790	+	0.106389i
$254$	8.73048	−	15.1216i	0.547799	−	0.948816i
$255$	3.95481	+	6.84993i	0.247660	+	0.428959i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	−13.3984	+	11.2426i	−0.835769	+	0.701294i	−0.956608	−	0.291378i	$-0.905886\pi$
$257$	−13.3984	+	11.2426i	−0.835769	+	0.701294i	0.120839	+	0.992672i	$0.461442\pi$
$258$	5.51489	+	3.18402i	0.343342	+	0.198228i
$259$	14.3233	+	12.0235i	0.890005	+	0.747106i
$260$	4.16961	+	4.96914i	0.258588	+	0.308173i
$261$	3.52616	−	4.20231i	0.218264	−	0.260117i
$262$	−10.8676	+	9.11901i	−0.671403	+	0.563374i
$263$	14.2404	−	5.18308i	0.878100	−	0.319602i	0.136658	−	0.990618i	$-0.456364\pi$
$263$	14.2404	−	5.18308i	0.878100	−	0.319602i	0.741443	+	0.671016i	$0.234142\pi$
$264$	−0.277008	−	0.761073i	−0.0170487	−	0.0468408i
$265$	−14.7372			−0.905297
$266$	5.13383	−	10.3268i	0.314775	−	0.633180i
$267$	−8.88135			−0.543530
$268$	2.41057	+	6.62299i	0.147249	+	0.404563i
$269$	−11.7791	+	4.28723i	−0.718183	+	0.261397i	−0.675154	−	0.737677i	$-0.735923\pi$
$269$	−11.7791	+	4.28723i	−0.718183	+	0.261397i	−0.0430287	+	0.999074i	$0.513701\pi$
$270$	−1.00676	+	0.844771i	−0.0612694	+	0.0514111i
$271$	10.2954	−	12.2696i	0.625402	−	0.745326i	−0.356587	−	0.934262i	$-0.616060\pi$
$271$	10.2954	−	12.2696i	0.625402	−	0.745326i	0.981989	+	0.188937i	$0.0605041\pi$
$272$	3.86858	+	4.61039i	0.234567	+	0.279546i
$273$	12.8600	+	2.27022i	0.778323	+	0.137400i
$274$	17.3232	+	10.0016i	1.04654	+	0.604218i
$275$	2.03055	−	1.70383i	0.122447	−	0.102745i
$276$	3.05447	+	1.11174i	0.183858	+	0.0669187i
$277$	−11.0523	−	19.1432i	−0.664070	−	1.15020i	−0.979537	−	0.201266i	$-0.935494\pi$
$277$	−11.0523	−	19.1432i	−0.664070	−	1.15020i	0.315466	−	0.948937i	$-0.397839\pi$
$278$	0.0804108	−	0.139276i	0.00482272	−	0.00835320i
$279$	6.78938	−	5.69696i	0.406469	−	0.341068i
$280$	2.23452	+	2.66408i	0.133538	+	0.159209i
$281$	−2.37488	+	6.52493i	−0.141673	+	0.389245i	−0.990154	−	0.139982i	$-0.955296\pi$
$281$	−2.37488	+	6.52493i	−0.141673	+	0.389245i	0.848481	+	0.529226i	$0.177518\pi$
$282$	0.342803	−	1.94413i	0.0204136	−	0.115771i
$283$	8.85490	−	10.5529i	0.526369	−	0.627302i	−0.435705	−	0.900089i	$-0.643501\pi$
$283$	8.85490	−	10.5529i	0.526369	−	0.627302i	0.962074	+	0.272787i	$0.0879454\pi$
$284$	−8.14128	−	4.70037i	−0.483096	−	0.278916i
$285$	−0.357498	−	5.71743i	−0.0211763	−	0.338671i
$286$			3.99757i			0.236381i
$287$	8.42411	−	23.1306i	0.497260	−	1.36536i
$288$	−0.642788	+	0.766044i	−0.0378766	+	0.0451396i
$289$	−3.33780	−	18.9296i	−0.196341	−	1.11351i
$290$	−7.09998	−	1.25192i	−0.416925	−	0.0735152i
$291$	3.23561	+	18.3501i	0.189675	+	1.07570i
$292$	0.158355	+	0.0914263i	0.00926703	+	0.00535032i
$293$	−2.47774	+	4.29157i	−0.144751	+	0.250716i	−0.929280	−	0.369376i	$-0.879571\pi$
$293$	−2.47774	+	4.29157i	−0.144751	+	0.250716i	0.784529	+	0.620092i	$0.212905\pi$
$294$	6.89317	+	1.21830i	0.402018	+	0.0710526i
$295$	10.4875	−	1.84923i	0.610607	−	0.107667i
$296$	7.06825			0.410834
$297$	−0.809917			−0.0469961
$298$	17.1520	−	3.02436i	0.993587	−	0.175196i
$299$	−12.2902	−	10.3127i	−0.710763	−	0.596401i
$300$	−3.07543	−	1.11936i	−0.177560	−	0.0646265i
$301$	−10.8273	−	12.9087i	−0.624073	−	0.744044i
$302$	1.98053	−	11.2321i	0.113967	−	0.646337i
$303$	0.126315	−	0.0729283i	0.00725664	−	0.00418962i
$304$	−1.02333	−	4.23707i	−0.0586919	−	0.243013i
$305$	−1.65706	+	2.87012i	−0.0948831	+	0.164342i
$306$	5.65549	−	2.05843i	0.323303	−	0.117673i
$307$	−14.0017	−	11.7488i	−0.799118	−	0.670539i	0.148866	−	0.988857i	$-0.452438\pi$
$307$	−14.0017	−	11.7488i	−0.799118	−	0.670539i	−0.947984	+	0.318318i	$0.896882\pi$
$308$	−0.000429143		2.14284i	−2.44527e−5		0.122100i
$309$	−15.3221	+	5.57680i	−0.871645	+	0.317253i
$310$	−10.9454	−	3.98381i	−0.621659	−	0.226265i
$311$		−	11.1734i		−	0.633584i	−0.948495	−	0.316792i	$-0.897394\pi$
$311$		−	11.1734i		−	0.633584i	0.948495	−	0.316792i	$-0.102606\pi$
$312$	4.27451	−	2.46789i	0.241997	−	0.139717i
$313$	−14.9814	−	17.8541i	−0.846798	−	1.00917i	−0.999781	−	0.0209458i	$-0.993332\pi$
$313$	−14.9814	−	17.8541i	−0.846798	−	1.00917i	0.152982	−	0.988229i	$-0.451112\pi$
$314$	1.35572	+	7.68869i	0.0765079	+	0.433898i
$315$	3.26767	−	1.18859i	0.184112	−	0.0669696i
$316$	10.8624	−	6.27139i	0.611056	−	0.352793i
$317$	7.56307	−	20.7794i	0.424784	−	1.16709i	−0.524154	−	0.851624i	$-0.675618\pi$
$317$	7.56307	−	20.7794i	0.424784	−	1.16709i	0.948938	−	0.315462i	$-0.102160\pi$
$318$	−1.94721	+	11.0432i	−0.109194	+	0.619271i
$319$	−2.85590	−	3.40352i	−0.159899	−	0.190561i
$320$	1.29426	+	0.228214i	0.0723515	+	0.0127575i
$321$	−0.526582	−	0.0928506i	−0.0293909	−	0.00518242i
$322$	−6.58689	−	5.52930i	−0.367073	−	0.308136i
$323$	−7.41658	+	25.1636i	−0.412670	+	1.40014i
$324$	0.500000	+	0.866025i	0.0277778	+	0.0481125i
$325$	12.3746	+	10.3835i	0.686417	+	0.575972i
$326$	−4.52432	−	12.4305i	−0.250579	−	0.688460i
$327$	−6.59892	+	1.16357i	−0.364921	+	0.0643454i
$328$	−3.18226	−	8.74320i	−0.175711	−	0.482762i
$329$	−2.61243	+	4.52276i	−0.144028	+	0.249348i
$330$	0.532208	+	0.921812i	0.0292971	+	0.0507441i
$331$		−	10.5650i		−	0.580706i	−0.956920	−	0.290353i	$-0.906227\pi$
$331$		−	10.5650i		−	0.580706i	0.956920	−	0.290353i	$-0.0937727\pi$
$332$	−4.31532	+	11.8563i	−0.236834	+	0.650697i
$333$	2.41749	−	6.64199i	0.132477	−	0.363979i
$334$			10.7773i			0.589710i
$335$	−4.63137	−	8.02177i	−0.253039	−	0.438276i
$336$	2.29155	−	1.32242i	0.125014	−	0.0721437i
$337$	0.0124218	+	0.0341286i	0.000676658	+	0.00185910i	0.940030	−	0.341090i	$-0.110796\pi$
$337$	0.0124218	+	0.0341286i	0.000676658	+	0.00185910i	−0.939354	+	0.342950i	$0.888574\pi$
$338$	−11.1894	+	1.97298i	−0.608620	+	0.107316i
$339$	−0.410162	−	1.12691i	−0.0222770	−	0.0612054i
$340$	−6.05912	−	5.08420i	−0.328602	−	0.275730i
$341$	−3.58911	−	6.21651i	−0.194361	−	0.336643i
$342$	−4.33155	−	0.487551i	−0.234223	−	0.0263638i
$343$	−16.0334	−	9.26976i	−0.865725	−	0.500520i
$344$	−6.27130	−	1.10580i	−0.338126	−	0.0596207i
$345$	−4.20700	−	0.741808i	−0.226497	−	0.0399376i
$346$	7.79808	+	9.29339i	0.419227	+	0.499616i
$347$	−1.34930	+	7.65228i	−0.0724344	+	0.410796i	0.926933	+	0.375227i	$0.122435\pi$
$347$	−1.34930	+	7.65228i	−0.0724344	+	0.410796i	−0.999367	+	0.0355685i	$0.988676\pi$
$348$	−1.87623	+	5.15490i	−0.100577	+	0.276332i
$349$	−22.3958	+	12.9302i	−1.19882	+	0.692139i	−0.960292	−	0.278997i	$-0.909998\pi$
$349$	−22.3958	+	12.9302i	−1.19882	+	0.692139i	−0.238528	+	0.971136i	$0.576665\pi$
$350$	6.63207	+	5.56724i	0.354499	+	0.297581i
$351$	−0.857090	−	4.86080i	−0.0457481	−	0.259450i
$352$	0.520604	+	0.620432i	0.0277483	+	0.0330691i
$353$	−23.0257	+	13.2939i	−1.22553	+	0.707562i	−0.966092	−	0.258198i	$-0.916871\pi$
$353$	−23.0257	+	13.2939i	−1.22553	+	0.707562i	−0.259440	+	0.965759i	$0.583538\pi$
$354$		−	8.10308i		−	0.430674i
$355$	11.6097	+	4.22557i	0.616177	+	0.224270i
$356$	8.34574	−	3.03760i	0.442323	−	0.160993i
$357$	−15.9233	−	0.00318893i	−0.842750	−	0.000168776i
$358$	−4.77937	−	4.01037i	−0.252598	−	0.211955i
$359$	15.1885	−	5.52814i	0.801616	−	0.291764i	0.0914599	−	0.995809i	$-0.470847\pi$
$359$	15.1885	−	5.52814i	0.801616	−	0.291764i	0.710156	+	0.704044i	$0.248624\pi$
$360$	0.657115	−	1.13816i	0.0346330	−	0.0599861i
$361$	12.9201	−	13.9309i	0.680007	−	0.733206i
$362$	19.0182	−	10.9802i	0.999574	−	0.577104i
$363$	1.79622	−	10.1869i	0.0942772	−	0.534673i
$364$	−12.8609	+	2.26507i	−0.674095	+	0.118722i
$365$	−0.225818	−	0.0821910i	−0.0118199	−	0.00430207i
$366$	1.93175	+	1.62093i	0.100974	+	0.0847275i
$367$	−4.38434	+	0.773077i	−0.228861	+	0.0403543i	−0.286902	−	0.957960i	$-0.592625\pi$
$367$	−4.38434	+	0.773077i	−0.228861	+	0.0403543i	0.0580417	+	0.998314i	$0.481514\pi$
$368$	−3.25050			−0.169444
$369$	−9.30432			−0.484363
$370$	−9.14819	+	1.61307i	−0.475592	+	0.0838596i
$371$	14.8393	−	25.6905i	0.770416	−	1.33378i
$372$	−4.43145	+	7.67550i	−0.229760	+	0.397956i
$373$	−10.6916	−	6.17279i	−0.553589	−	0.319615i	0.196979	−	0.980408i	$-0.436887\pi$
$373$	−10.6916	−	6.17279i	−0.553589	−	0.319615i	−0.750568	+	0.660793i	$0.770220\pi$
$374$	−0.846437	−	4.80038i	−0.0437682	−	0.248222i
$375$	10.7072	+	1.88797i	0.552917	+	0.0974941i
$376$	0.342803	+	1.94413i	0.0176787	+	0.100261i
$377$	17.4044	−	20.7417i	0.896371	−	1.06825i
$378$	−0.458908	−	2.60565i	−0.0236037	−	0.134020i
$379$		−	27.1589i		−	1.39506i	−0.716555	−	0.697530i	$-0.754282\pi$
$379$		−	27.1589i		−	1.39506i	0.716555	−	0.697530i	$-0.245718\pi$
$380$	2.29141	+	5.25035i	0.117547	+	0.269338i
$381$	15.1216	+	8.73048i	0.774705	+	0.447276i
$382$	−0.334739	+	0.398926i	−0.0171267	+	0.0204108i
$383$	−4.61634	+	26.1805i	−0.235884	+	1.33776i	0.604861	+	0.796331i	$0.293229\pi$
$383$	−4.61634	+	26.1805i	−0.235884	+	1.33776i	−0.840744	+	0.541432i	$0.817882\pi$
$384$	0.342020	−	0.939693i	0.0174536	−	0.0479535i
$385$	−0.488469	−	2.77350i	−0.0248947	−	0.141350i
$386$	18.8535	−	15.8199i	0.959616	−	0.805214i
$387$	−3.18402	+	5.51489i	−0.161853	+	0.280337i
$388$	−9.31658	−	16.1368i	−0.472978	−	0.819221i
$389$	7.45661	+	2.71398i	0.378065	+	0.137604i	0.524061	−	0.851681i	$-0.324416\pi$
$389$	7.45661	+	2.71398i	0.378065	+	0.137604i	−0.145996	+	0.989285i	$0.546639\pi$
$390$	−4.96914	+	4.16961i	−0.251622	+	0.211136i
$391$	16.9420	+	9.78147i	0.856794	+	0.494670i
$392$	−6.89414	+	1.21278i	−0.348207	+	0.0612544i
$393$	−9.11901	−	10.8676i	−0.459993	−	0.548198i
$394$	0.946279	−	1.12773i	0.0476728	−	0.0568143i
$395$	−12.6276	+	10.5958i	−0.635361	+	0.533132i
$396$	0.761073	−	0.277008i	0.0382453	−	0.0139202i
$397$	0.0339634	+	0.0933137i	0.00170458	+	0.00468328i	0.940542	−	0.339677i	$-0.110318\pi$
$397$	0.0339634	+	0.0933137i	0.00170458	+	0.00468328i	−0.938837	+	0.344361i	$0.888096\pi$
$398$	19.4654			0.975715
$399$	10.3268	+	5.13383i	0.516989	+	0.257013i
$400$	3.27280			0.163640
$401$	10.2594	+	28.1876i	0.512332	+	1.40762i	0.878800	+	0.477190i	$0.158345\pi$
$401$	10.2594	+	28.1876i	0.512332	+	1.40762i	−0.366468	+	0.930431i	$0.619433\pi$
$402$	−6.62299	+	2.41057i	−0.330325	+	0.120228i
$403$	33.5109	−	28.1190i	1.66930	−	1.40071i
$404$	−0.0937548	+	0.111733i	−0.00466448	+	0.00555891i
$405$	−0.844771	−	1.00676i	−0.0419770	−	0.0500262i
$406$	9.33157	−	11.1164i	0.463118	−	0.551698i
$407$	−4.95773	−	2.86235i	−0.245746	−	0.141881i
$408$	−4.61039	+	3.86858i	−0.228249	+	0.191523i
$409$	5.78383	+	2.10514i	0.285992	+	0.104093i	0.481033	−	0.876703i	$-0.340262\pi$
$409$	5.78383	+	2.10514i	0.285992	+	0.104093i	−0.195041	+	0.980795i	$0.562484\pi$
$410$	6.11401	+	10.5898i	0.301949	+	0.522991i
$411$	−10.0016	+	17.3232i	−0.493342	+	0.854493i
$412$	12.4907	−	10.4810i	0.615373	−	0.516359i
$413$	−7.33651	+	20.1444i	−0.361006	+	0.991239i
$414$	−1.11174	+	3.05447i	−0.0546389	+	0.150119i
$415$	2.87941	−	16.3299i	0.141345	−	0.801605i
$416$	−3.17266	+	3.78103i	−0.155552	+	0.185380i
$417$	0.139276	+	0.0804108i	0.00682036	+	0.00393773i
$418$	−0.998068	+	3.38632i	−0.0488171	+	0.165631i
$419$		−	25.4693i		−	1.24426i	−0.782916	−	0.622128i	$-0.786268\pi$
$419$		−	25.4693i		−	1.24426i	0.782916	−	0.622128i	$-0.213732\pi$
$420$	−2.66408	+	2.23452i	−0.129994	+	0.109033i
$421$	15.5685	−	18.5538i	0.758760	−	0.904255i	−0.239009	−	0.971017i	$-0.576822\pi$
$421$	15.5685	−	18.5538i	0.758760	−	0.904255i	0.997769	+	0.0667624i	$0.0212669\pi$
$422$	0.219827	+	1.24670i	0.0107010	+	0.0606885i
$423$	1.94413	+	0.342803i	0.0945270	+	0.0166677i
$424$	−1.94721	−	11.0432i	−0.0945649	−	0.536304i
$425$	−17.0582	−	9.84858i	−0.827446	−	0.477726i
$426$	4.70037	−	8.14128i	0.227734	−	0.394447i
$427$	−3.33477	−	5.77866i	−0.161381	−	0.279649i
$428$	0.526582	−	0.0928506i	0.0254533	−	0.00448810i
$429$	−3.99757			−0.193005
$430$	8.36907			0.403592
$431$	30.0089	−	5.29138i	1.44548	−	0.254877i	0.604786	−	0.796388i	$-0.293259\pi$
$431$	30.0089	−	5.29138i	1.44548	−	0.254877i	0.840693	+	0.541511i	$0.182148\pi$
$432$	−0.766044	−	0.642788i	−0.0368563	−	0.0309261i
$433$	−9.31129	−	3.38903i	−0.447472	−	0.162867i	0.108448	−	0.994102i	$-0.465412\pi$
$433$	−9.31129	−	3.38903i	−0.447472	−	0.162867i	−0.555920	+	0.831236i	$0.687634\pi$
$434$	17.9660	−	15.0692i	0.862397	−	0.723343i
$435$	1.25192	−	7.09998i	0.0600249	−	0.340418i
$436$	5.80299	−	3.35036i	0.277913	−	0.160453i
$437$	−7.83623	−	11.8043i	−0.374858	−	0.564679i
$438$	−0.0914263	+	0.158355i	−0.00436852	+	0.00756650i
$439$	−3.98182	+	1.44926i	−0.190042	+	0.0691695i	−0.435288	−	0.900291i	$-0.643353\pi$
$439$	−3.98182	+	1.44926i	−0.190042	+	0.0691695i	0.245246	+	0.969461i	$0.421131\pi$
$440$	−0.815390	−	0.684194i	−0.0388722	−	0.0326177i
$441$	−1.21830	+	6.89317i	−0.0580142	+	0.328246i
$442$	27.9143	−	10.1600i	1.32775	−	0.483260i
$443$	10.6626	+	3.88089i	0.506598	+	0.184387i	0.582659	−	0.812717i	$-0.302012\pi$
$443$	10.6626	+	3.88089i	0.506598	+	0.184387i	−0.0760614	+	0.997103i	$0.524234\pi$
$444$			7.06825i			0.335445i
$445$	−10.1084	+	5.83607i	−0.479183	+	0.276656i
$446$	7.44187	+	8.86887i	0.352383	+	0.419953i
$447$	3.02436	+	17.1520i	0.143047	+	0.811261i
$448$	−1.70106	+	2.02642i	−0.0803676	+	0.0957395i
$449$	24.0302	−	13.8738i	1.13406	−	0.654747i	0.189104	−	0.981957i	$-0.439442\pi$
$449$	24.0302	−	13.8738i	1.13406	−	0.654747i	0.944952	+	0.327210i	$0.106108\pi$
$450$	1.11936	−	3.07543i	0.0527673	−	0.144977i
$451$	−1.30856	+	7.42124i	−0.0616179	+	0.349452i
$452$	0.770853	+	0.918666i	0.0362579	+	0.0432104i
$453$	11.2321	+	1.98053i	0.527732	+	0.0930533i
$454$	−8.30123	−	1.46373i	−0.389596	−	0.0686963i
$455$	16.1285	−	5.86664i	0.756116	−	0.275032i
$456$	4.23707	−	1.02333i	0.198419	−	0.0479217i
$457$	−1.41205	−	2.44574i	−0.0660529	−	0.114407i	0.831108	−	0.556112i	$-0.187707\pi$
$457$	−1.41205	−	2.44574i	−0.0660529	−	0.114407i	−0.897161	+	0.441705i	$0.854374\pi$
$458$	9.22853	+	7.74366i	0.431221	+	0.361837i
$459$	2.05843	+	5.65549i	0.0960792	+	0.263975i
$460$	4.20700	−	0.741808i	0.196153	−	0.0345870i
$461$	−8.41461	−	23.1190i	−0.391907	−	1.07676i	−0.966130	−	0.258057i	$-0.916918\pi$
$461$	−8.41461	−	23.1190i	−0.391907	−	1.07676i	0.574222	−	0.818700i	$-0.305305\pi$
$462$	−2.14284		0.000429143i	−0.0996938		1.99655e-5i
$463$	2.10750	+	3.65030i	0.0979440	+	0.169644i	0.910834	−	0.412774i	$-0.135440\pi$
$463$	2.10750	+	3.65030i	0.0979440	+	0.169644i	−0.812889	+	0.582418i	$0.802107\pi$
$464$		−	5.48573i		−	0.254669i
$465$	3.98381	−	10.9454i	0.184745	−	0.507583i
$466$	−2.86236	+	7.86428i	−0.132596	+	0.364306i
$467$		−	23.3162i		−	1.07895i	−0.842003	−	0.539473i	$-0.818624\pi$
$467$		−	23.3162i		−	1.07895i	0.842003	−	0.539473i	$-0.181376\pi$
$468$	2.46789	+	4.27451i	0.114078	+	0.197590i
$469$	18.6474	+	0.00373448i	0.861055	+	0.000172442i
$470$	−0.887355	−	2.43799i	−0.0409307	−	0.112456i
$471$	−7.68869	+	1.35572i	−0.354276	+	0.0624684i
$472$	2.77142	+	7.61441i	0.127565	+	0.350481i
$473$	3.95094	+	3.31523i	0.181664	+	0.152434i
$474$	6.27139	+	10.8624i	0.288055	+	0.498925i
$475$	7.88999	+	11.8853i	0.362018	+	0.545336i
$476$	14.9641	−	5.44309i	0.685878	−	0.249484i
$477$	−11.0432	−	1.94721i	−0.505632	−	0.0891566i
$478$	3.81583	+	0.672834i	0.174532	+	0.0307747i
$479$	−25.6262	−	30.5401i	−1.17089	−	1.39541i	−0.901721	−	0.432319i	$-0.857695\pi$
$479$	−25.6262	−	30.5401i	−1.17089	−	1.39541i	−0.269169	−	0.963093i	$-0.586749\pi$
$480$	−0.228214	+	1.29426i	−0.0104165	+	0.0590748i
$481$	11.9322	−	32.7834i	0.544061	−	1.49479i
$482$	−20.5216	+	11.8482i	−0.934736	+	0.539670i
$483$	5.52930	−	6.58689i	0.251592	−	0.299714i
$484$	1.79622	+	10.1869i	0.0816465	+	0.463040i
$485$	15.7407	+	18.7591i	0.714751	+	0.851807i
$486$	−0.866025	+	0.500000i	−0.0392837	+	0.0226805i
$487$			0.945680i			0.0428529i	0.999770	+	0.0214264i	$0.00682077\pi$
$487$			0.945680i			0.0428529i	−0.999770	+	0.0214264i	$0.993179\pi$
$488$	−2.36964	−	0.862480i	−0.107269	−	0.0390426i
$489$	12.4305	−	4.52432i	0.562125	−	0.204597i
$490$	8.64606	−	3.14299i	0.390589	−	0.141986i
$491$	−4.15270	−	3.48453i	−0.187409	−	0.157255i	0.544256	−	0.838919i	$-0.316812\pi$
$491$	−4.15270	−	3.48453i	−0.187409	−	0.157255i	−0.731665	+	0.681664i	$0.761256\pi$
$492$	8.74320	−	3.18226i	0.394174	−	0.143468i
$493$	−16.5078	+	28.5923i	−0.743473	+	1.28773i
$494$	−21.3796	−	2.40645i	−0.961913	−	0.108271i
$495$	−0.921812	+	0.532208i	−0.0414324	+	0.0239210i
$496$	1.53903	−	8.72826i	0.0691044	−	0.391910i
$497$	−19.0563	+	15.9836i	−0.854791	+	0.716963i
$498$	−11.8563	−	4.31532i	−0.531291	−	0.193374i
$499$	−16.3247	−	13.6981i	−0.730795	−	0.613210i	0.199553	−	0.979887i	$-0.436051\pi$
$499$	−16.3247	−	13.6981i	−0.730795	−	0.613210i	−0.930348	+	0.366677i	$0.880495\pi$
$500$	−10.7072	+	1.88797i	−0.478840	+	0.0844324i
$501$	−10.7773			−0.481496
$502$	25.7439			1.14901
$503$	−33.8290	+	5.96496i	−1.50836	+	0.265965i	−0.865846	−	0.500310i	$-0.833219\pi$
$503$	−33.8290	+	5.96496i	−1.50836	+	0.265965i	−0.642514	+	0.766274i	$0.722108\pi$
$504$	1.32242	+	2.29155i	0.0589051	+	0.102074i
$505$	0.0958445	−	0.166008i	0.00426503	−	0.00738724i
$506$	2.27993	+	1.31632i	0.101355	+	0.0585174i
$507$	−1.97298	−	11.1894i	−0.0876233	−	0.496937i
$508$	−17.1957	−	3.03207i	−0.762936	−	0.134526i
$509$	−4.37993	−	24.8398i	−0.194137	−	1.10101i	−0.913642	−	0.406519i	$-0.866743\pi$
$509$	−4.37993	−	24.8398i	−0.194137	−	1.10101i	0.719505	−	0.694487i	$-0.244369\pi$
$510$	5.08420	−	6.05912i	0.225132	−	0.268302i
$511$	0.370661	−	0.310895i	0.0163971	−	0.0137532i
$512$			1.00000i			0.0441942i
$513$	0.487551	−	4.33155i	0.0215259	−	0.191242i
$514$	15.1471	+	8.74519i	0.668110	+	0.385734i
$515$	−13.7744	+	16.4157i	−0.606972	+	0.723361i
$516$	1.10580	−	6.27130i	0.0486801	−	0.276078i
$517$	0.546848	−	1.50245i	0.0240503	−	0.0660778i
$518$	6.39958	−	17.5718i	0.281182	−	0.772059i
$519$	−9.29339	+	7.79808i	−0.407935	+	0.342298i
$520$	3.24338	−	5.61769i	0.142232	−	0.246352i
$521$	21.5606	+	37.3441i	0.944588	+	1.63607i	0.756574	+	0.653908i	$0.226872\pi$
$521$	21.5606	+	37.3441i	0.944588	+	1.63607i	0.188014	+	0.982166i	$0.439795\pi$
$522$	−5.15490	−	1.87623i	−0.225624	−	0.0821204i
$523$	3.82425	−	3.20893i	0.167223	−	0.140317i	−0.555336	−	0.831626i	$-0.687410\pi$
$523$	3.82425	−	3.20893i	0.167223	−	0.140317i	0.722559	+	0.691309i	$0.242966\pi$
$524$	12.2860	+	7.09333i	0.536717	+	0.309874i
$525$	−5.56724	+	6.63207i	−0.242974	+	0.289447i
$526$	−9.74100	−	11.6089i	−0.424728	−	0.506171i
$527$	−34.2868	+	40.8615i	−1.49356	+	1.77995i
$528$	−0.620432	+	0.520604i	−0.0270008	+	0.0226564i
$529$	11.6844	−	4.25276i	0.508016	−	0.184903i
$530$	5.04041	+	13.8484i	0.218941	+	0.601536i
$531$	8.10308			0.351644
$532$	−11.4599	−	1.29223i	−0.496851	−	0.0560255i
$533$	−45.9241			−1.98919
$534$	3.03760	+	8.34574i	0.131450	+	0.361156i
$535$	−0.660346	+	0.240346i	−0.0285493	+	0.0103911i
$536$	5.39911	−	4.53039i	0.233206	−	0.195683i
$537$	4.01037	−	4.77937i	0.173060	−	0.206245i
$538$	8.05736	+	9.60239i	0.347378	+	0.413988i
$539$	5.32673	+	1.94119i	0.229439	+	0.0836129i
$540$	1.13816	+	0.657115i	0.0489785	+	0.0282777i
$541$	−6.02407	+	5.05479i	−0.258995	+	0.217323i	−0.763034	−	0.646358i	$-0.776291\pi$
$541$	−6.02407	+	5.05479i	−0.258995	+	0.217323i	0.504039	+	0.863681i	$0.331847\pi$
$542$	−15.0509	−	5.47808i	−0.646492	−	0.235304i
$543$	10.9802	+	19.0182i	0.471204	+	0.816149i
$544$	3.00922	−	5.21212i	0.129019	−	0.223468i
$545$	−6.74600	+	5.66057i	−0.288967	+	0.242472i
$546$	−2.26507	−	12.8609i	−0.0969361	−	0.550396i
$547$	−5.86539	+	16.1150i	−0.250786	+	0.689029i	0.748868	+	0.662719i	$0.230598\pi$
$547$	−5.86539	+	16.1150i	−0.250786	+	0.689029i	−0.999654	+	0.0263093i	$0.991625\pi$
$548$	3.47351	−	19.6993i	0.148381	−	0.841511i
$549$	−1.62093	+	1.93175i	−0.0691797	+	0.0824452i
$550$	−2.29557	−	1.32535i	−0.0978834	−	0.0565130i
$551$	19.9217	−	13.2249i	0.848693	−	0.563399i
$552$		−	3.25050i		−	0.138350i
$553$	−5.75599	−	32.6821i	−0.244769	−	1.38978i
$554$	−14.2086	+	16.9332i	−0.603666	+	0.719421i
$555$	−1.61307	−	9.14819i	−0.0684711	−	0.388319i
$556$	−0.158378	−	0.0279264i	−0.00671674	−	0.00118434i
$557$	1.17727	+	6.67662i	0.0498824	+	0.282897i	0.999538	−	0.0303991i	$-0.00967781\pi$
$557$	1.17727	+	6.67662i	0.0498824	+	0.282897i	−0.949655	+	0.313296i	$0.898567\pi$
$558$	−7.67550	−	4.43145i	−0.324930	−	0.187598i
$559$	−15.7156	+	27.2203i	−0.664701	+	1.15130i
$560$	1.73917	−	3.01093i	0.0734932	−	0.127235i
$561$	4.80038	−	0.846437i	0.202672	−	0.0357366i
$562$	6.94368			0.292902
$563$	26.5502			1.11896			0.559479	−	0.828845i	$-0.311001\pi$
$563$	26.5502			1.11896			0.559479	+	0.828845i	$0.311001\pi$
$564$	−1.94413	+	0.342803i	−0.0818628	+	0.0144346i
$565$	−1.20734	−	1.01308i	−0.0507931	−	0.0426205i
$566$	−12.9450	−	4.71159i	−0.544119	−	0.198043i
$567$	2.60565	−	0.458908i	0.109427	−	0.0192723i
$568$	−1.63242	+	9.25793i	−0.0684949	+	0.388454i
$569$	19.0644	−	11.0068i	0.799219	−	0.461430i	−0.0439787	−	0.999032i	$-0.514003\pi$
$569$	19.0644	−	11.0068i	0.799219	−	0.461430i	0.843198	+	0.537603i	$0.180670\pi$
$570$	−5.25035	+	2.29141i	−0.219913	+	0.0959768i
$571$	−12.3119	+	21.3248i	−0.515236	+	0.892414i	0.484608	+	0.874731i	$0.338962\pi$
$571$	−12.3119	+	21.3248i	−0.515236	+	0.892414i	−0.999844	+	0.0176828i	$0.994371\pi$
$572$	3.75649	−	1.36725i	0.157067	−	0.0571676i
$573$	−0.398926	−	0.334739i	−0.0166654	−	0.0139839i
$574$	−24.6169	−	0.00492999i	−1.02749	−	0.000205774i
$575$	9.99667	−	3.63849i	0.416890	−	0.151736i
$576$	0.939693	+	0.342020i	0.0391539	+	0.0142508i
$577$		−	13.3072i		−	0.553984i	−0.960872	−	0.276992i	$-0.910662\pi$
$577$		−	13.3072i		−	0.553984i	0.960872	−	0.276992i	$-0.0893376\pi$
$578$	−16.6464	+	9.61082i	−0.692400	+	0.399757i
$579$	15.8199	+	18.8535i	0.657454	+	0.783524i
$580$	1.25192	+	7.09998i	0.0519831	+	0.294811i
$581$	25.5677	+	21.4626i	1.06073	+	0.890418i
$582$	16.1368	−	9.31658i	0.668892	−	0.386185i
$583$	−3.10624	+	8.53432i	−0.128647	+	0.353455i
$584$	0.0317520	−	0.180075i	0.00131391	−	0.00745154i
$585$	−4.16961	−	4.96914i	−0.172392	−	0.205449i
$586$	4.88019	+	0.860509i	0.201599	+	0.0355473i
$587$	6.36057	+	1.12154i	0.262529	+	0.0462909i	0.303363	−	0.952875i	$-0.401890\pi$
$587$	6.36057	+	1.12154i	0.262529	+	0.0462909i	−0.0408344	+	0.999166i	$0.513002\pi$
$588$	−1.21278	−	6.89414i	−0.0500140	−	0.284310i
$589$	35.4073	−	15.4528i	1.45893	−	0.636723i
$590$	−5.32466	−	9.22257i	−0.219213	−	0.379687i
$591$	1.12773	+	0.946279i	0.0463887	+	0.0389247i
$592$	−2.41749	−	6.64199i	−0.0993580	−	0.272984i
$593$	−29.3938	+	5.18292i	−1.20706	+	0.212837i	−0.740747	−	0.671784i	$-0.765528\pi$
$593$	−29.3938	+	5.18292i	−1.20706	+	0.212837i	−0.466311	+	0.884621i	$0.654417\pi$
$594$	0.277008	+	0.761073i	0.0113658	+	0.0312272i
$595$	−18.1253	+	10.4598i	−0.743065	+	0.428810i
$596$	−8.70829	−	15.0832i	−0.356705	−	0.617832i
$597$			19.4654i			0.796668i
$598$	−5.48729	+	15.0762i	−0.224392	+	0.616512i
$599$	5.75869	−	15.8219i	0.235294	−	0.646465i	−0.764704	−	0.644382i	$-0.777115\pi$
$599$	5.75869	−	15.8219i	0.235294	−	0.646465i	0.999998	−	0.00208279i	$-0.000662972\pi$
$600$			3.27280i			0.133611i
$601$	13.5530	+	23.4745i	0.552839	+	0.957545i	0.998068	+	0.0621285i	$0.0197889\pi$
$601$	13.5530	+	23.4745i	0.552839	+	0.957545i	−0.445229	+	0.895417i	$0.646878\pi$
$602$	−8.42705	+	14.5893i	−0.343461	+	0.594617i
$603$	−2.41057	−	6.62299i	−0.0981660	−	0.269709i
$604$	−11.2321	+	1.98053i	−0.457029	+	0.0805865i
$605$	−4.64957	−	12.7746i	−0.189032	−	0.519361i
$606$	−0.111733	−	0.0937548i	−0.00453883	−	0.00380853i
$607$	3.56962	+	6.18277i	0.144887	+	0.250951i	0.929331	−	0.369249i	$-0.120385\pi$
$607$	3.56962	+	6.18277i	0.144887	+	0.250951i	−0.784444	+	0.620200i	$0.787052\pi$
$608$	−3.63155	+	2.41078i	−0.147279	+	0.0977700i
$609$	11.1164	+	9.33157i	0.450460	+	0.378134i
$610$	3.26377	+	0.575492i	0.132146	+	0.0233010i
$611$	9.59582	+	1.69200i	0.388205	+	0.0684511i
$612$	−3.86858	−	4.61039i	−0.156378	−	0.186364i
$613$	3.72175	−	21.1071i	0.150320	−	0.852507i	−0.812621	−	0.582793i	$-0.801960\pi$
$613$	3.72175	−	21.1071i	0.150320	−	0.852507i	0.962941	−	0.269714i	$-0.0869291\pi$
$614$	−6.25141	+	17.1756i	−0.252286	+	0.693151i
$615$	−10.5898	+	6.11401i	−0.427021	+	0.246540i
$616$	2.01376	−	0.732490i	0.0811365	−	0.0295129i
$617$	−1.99566	−	11.3179i	−0.0803422	−	0.455643i	−0.998265	−	0.0588840i	$-0.981246\pi$
$617$	−1.99566	−	11.3179i	−0.0803422	−	0.455643i	0.917923	−	0.396760i	$-0.129865\pi$
$618$	10.4810	+	12.4907i	0.421606	+	0.502450i
$619$	9.05372	−	5.22717i	0.363900	−	0.210098i	−0.306890	−	0.951745i	$-0.599288\pi$
$619$	9.05372	−	5.22717i	0.363900	−	0.210098i	0.670790	+	0.741647i	$0.265955\pi$
$620$			11.6479i			0.467791i
$621$	−3.05447	−	1.11174i	−0.122572	−	0.0446124i
$622$	−10.4995	+	3.82152i	−0.420993	+	0.153229i
$623$	0.00470588	−	23.4979i	0.000188537	−	0.941421i
$624$	−3.78103	−	3.17266i	−0.151362	−	0.127008i
$625$	−1.95007	+	0.709766i	−0.0780026	+	0.0283906i
$626$	−11.6535	+	20.1844i	−0.465766	+	0.806730i
$627$	−3.38632	−	0.998068i	−0.135237	−	0.0398590i
$628$	6.76132	−	3.90365i	0.269806	−	0.155773i
$629$	−7.38697	+	41.8936i	−0.294538	+	1.67041i
$630$	−2.23452	−	2.66408i	−0.0890254	−	0.106139i
$631$	2.91002	+	1.05916i	0.115846	+	0.0421645i	0.399293	−	0.916823i	$-0.369256\pi$
$631$	2.91002	+	1.05916i	0.115846	+	0.0421645i	−0.283447	+	0.958988i	$0.591478\pi$
$632$	−9.60833	−	8.06235i	−0.382199	−	0.320703i
$633$	−1.24670	+	0.219827i	−0.0495520	+	0.00873735i
$634$	−22.1129			−0.878217
$635$	22.9477			0.910653
$636$	11.0432	−	1.94721i	0.437891	−	0.0772119i
$637$	−6.01326	+	34.0232i	−0.238254	+	1.34805i
$638$	−2.22149	+	3.84774i	−0.0879497	+	0.152333i
$639$	8.14128	+	4.70037i	0.322064	+	0.185944i
$640$	−0.228214	−	1.29426i	−0.00902094	−	0.0511603i
$641$	−28.5397	−	5.03231i	−1.12725	−	0.198764i	−0.421228	−	0.906955i	$-0.638401\pi$
$641$	−28.5397	−	5.03231i	−1.12725	−	0.198764i	−0.706021	+	0.708191i	$0.749512\pi$
$642$	0.0928506	+	0.526582i	0.00366452	+	0.0207825i
$643$	−14.0829	+	16.7833i	−0.555375	+	0.661871i	−0.968561	−	0.248776i	$-0.919972\pi$
$643$	−14.0829	+	16.7833i	−0.555375	+	0.661871i	0.413186	+	0.910647i	$0.364416\pi$
$644$	−2.94300	+	8.08078i	−0.115970	+	0.318427i
$645$			8.36907i			0.329532i
$646$	26.1826	−	1.63714i	1.03014	−	0.0644125i
$647$	32.9383	+	19.0169i	1.29494	+	0.747632i	0.979525	−	0.201322i	$-0.0645239\pi$
$647$	32.9383	+	19.0169i	1.29494	+	0.747632i	0.315412	+	0.948955i	$0.397857\pi$
$648$	0.642788	−	0.766044i	0.0252511	−	0.0300931i
$649$	1.13962	−	6.46312i	0.0447341	−	0.253699i
$650$	5.52494	−	15.1796i	0.216706	−	0.595394i
$651$	15.0692	+	17.9660i	0.590607	+	0.704144i
$652$	−10.1334	+	8.50294i	−0.396855	+	0.333001i
$653$	−4.89035	+	8.47033i	−0.191374	+	0.331470i	−0.945706	−	0.325024i	$-0.894628\pi$
$653$	−4.89035	+	8.47033i	−0.191374	+	0.331470i	0.754332	+	0.656493i	$0.227961\pi$
$654$	3.35036	+	5.80299i	0.131009	+	0.226915i
$655$	−17.5201	−	6.37681i	−0.684568	−	0.249162i
$656$	−7.12752	+	5.98070i	−0.278283	+	0.233507i
$657$	−0.158355	−	0.0914263i	−0.00617802	−	0.00356688i
$658$	5.14351	+	0.908002i	0.200515	+	0.0353976i
$659$	−23.5288	−	28.0405i	−0.916551	−	1.09230i	−0.995437	−	0.0954190i	$-0.969581\pi$
$659$	−23.5288	−	28.0405i	−0.916551	−	1.09230i	0.0788864	−	0.996884i	$-0.474864\pi$
$660$	0.684194	−	0.815390i	0.0266322	−	0.0317390i
$661$	12.5037	−	10.4919i	0.486338	−	0.408086i	−0.366374	−	0.930468i	$-0.619401\pi$
$661$	12.5037	−	10.4919i	0.486338	−	0.408086i	0.852712	+	0.522382i	$0.174956\pi$
$662$	−9.92787	+	3.61345i	−0.385858	+	0.140441i
$663$	10.1600	+	27.9143i	0.394580	+	1.08410i
$664$	12.6172			0.489641
$665$	15.1271	−	0.942821i	0.586603	−	0.0365610i
$666$	−7.06825			−0.273889
$667$	−6.09869	−	16.7560i	−0.236142	−	0.648795i
$668$	10.1274	−	3.68607i	0.391840	−	0.142618i
$669$	−8.86887	+	7.44187i	−0.342890	+	0.287719i
$670$	−5.95398	+	7.09567i	−0.230022	+	0.274130i
$671$	1.31282	+	1.56456i	0.0506809	+	0.0603991i
$672$	−2.02642	−	1.70106i	−0.0781709	−	0.0656199i
$673$	−20.8906	−	12.0612i	−0.805273	−	0.464924i	0.0400389	−	0.999198i	$-0.487252\pi$
$673$	−20.8906	−	12.0612i	−0.805273	−	0.464924i	−0.845311	+	0.534274i	$0.820585\pi$
$674$	0.0278219	−	0.0233453i	0.00107166	−	0.000899228i
$675$	3.07543	+	1.11936i	0.118373	+	0.0430843i
$676$	5.68098	+	9.83975i	0.218499	+	0.378452i
$677$	−19.9645	+	34.5795i	−0.767298	+	1.32900i	0.171725	+	0.985145i	$0.445066\pi$
$677$	−19.9645	+	34.5795i	−0.767298	+	1.32900i	−0.939023	+	0.343854i	$0.888268\pi$
$678$	−0.918666	+	0.770853i	−0.0352812	+	0.0296044i
$679$	−48.5515	+	8.55091i	−1.86323	+	0.328154i
$680$	−2.70525	+	7.43261i	−0.103742	+	0.285027i
$681$	1.46373	−	8.30123i	0.0560903	−	0.318104i
$682$	−4.61407	+	5.49883i	−0.176682	+	0.210561i
$683$	−0.495168	−	0.285885i	−0.0189471	−	0.0109391i	0.490497	−	0.871443i	$-0.336815\pi$
$683$	−0.495168	−	0.285885i	−0.0189471	−	0.0109391i	−0.509444	+	0.860504i	$0.670149\pi$
$684$	1.02333	+	4.23707i	0.0391279	+	0.162009i
$685$			26.2888i			1.00444i
$686$	−3.22697	+	18.2370i	−0.123206	+	0.696290i
$687$	−7.74366	+	9.22853i	−0.295439	+	0.352090i
$688$	1.10580	+	6.27130i	0.0421582	+	0.239091i
$689$	−54.5067	−	9.61101i	−2.07654	−	0.366150i
$690$	0.741808	+	4.20700i	0.0282402	+	0.160158i
$691$	24.8019	+	14.3194i	0.943509	+	0.544735i	0.891058	−	0.453889i	$-0.149964\pi$
$691$	24.8019	+	14.3194i	0.943509	+	0.544735i	0.0524503	+	0.998624i	$0.483297\pi$
$692$	6.06583	−	10.5063i	0.230588	−	0.399391i
$693$	0.000429143	−	2.14284i	1.63018e−5	−	0.0813997i
$694$	7.65228	−	1.34930i	0.290476	−	0.0512188i
$695$	0.211357			0.00801721
$696$	5.48573			0.207936
$697$	55.1468	−	9.72386i	2.08883	−	0.368317i
$698$	19.8103	+	16.6228i	0.749829	+	0.629181i
$699$	−7.86428	−	2.86236i	−0.297454	−	0.108265i
$700$	2.96319	−	8.13622i	0.111998	−	0.307520i
$701$	−1.02243	+	5.79851i	−0.0386168	+	0.219007i	−0.998009	−	0.0630681i	$-0.979911\pi$
$701$	−1.02243	+	5.79851i	−0.0386168	+	0.219007i	0.959392	+	0.282075i	$0.0910226\pi$
$702$	−4.27451	+	2.46789i	−0.161331	+	0.0931446i
$703$	18.2927	−	24.7916i	0.689921	−	0.935032i
$704$	0.404958	−	0.701408i	0.0152624	−	0.0264353i
$705$	2.43799	−	0.887355i	0.0918200	−	0.0334197i
$706$	20.3674	+	17.0903i	0.766537	+	0.643201i
$707$	0.192883	+	0.334238i	0.00725412	+	0.0125703i
$708$	−7.61441	+	2.77142i	−0.286167	+	0.104156i
$709$	−2.99067	−	1.08851i	−0.112317	−	0.0408800i	0.285250	−	0.958453i	$-0.407923\pi$
$709$	−2.99067	−	1.08851i	−0.112317	−	0.0408800i	−0.397567	+	0.917573i	$0.630145\pi$
$710$		−	12.3547i		−	0.463665i
$711$	−10.8624	+	6.27139i	−0.407371	+	0.235196i
$712$	−5.70882	−	6.80351i	−0.213947	−	0.254972i
$713$	−5.00261	−	28.3712i	−0.187349	−	1.06251i
$714$	5.44309	+	14.9641i	0.203703	+	0.560017i
$715$	−4.54986	+	2.62687i	−0.170155	+	0.0982392i
$716$	−2.13387	+	5.86277i	−0.0797466	+	0.219102i
$717$	−0.672834	+	3.81583i	−0.0251275	+	0.142505i
$718$	−10.3895	−	12.3817i	−0.387733	−	0.462082i
$719$	46.5492	+	8.20788i	1.73599	+	0.306102i	0.950027	−	0.312168i	$-0.101055\pi$
$719$	46.5492	+	8.20788i	1.73599	+	0.306102i	0.785965	+	0.618271i	$0.212166\pi$
$720$	−1.29426	−	0.228214i	−0.0482344	−	0.00850502i
$721$	−14.7467	−	40.5415i	−0.549196	−	1.50984i
$722$	−17.5097	−	7.37630i	−0.651644	−	0.274517i
$723$	−11.8482	−	20.5216i	−0.440639	−	0.763208i
$724$	−16.8226	−	14.1158i	−0.625206	−	0.524610i
$725$	6.14053	+	16.8710i	0.228053	+	0.626572i
$726$	−10.1869	+	1.79622i	−0.378071	+	0.0666641i
$727$	−2.42832	−	6.67176i	−0.0900615	−	0.247442i	0.886482	−	0.462764i	$-0.153142\pi$
$727$	−2.42832	−	6.67176i	−0.0900615	−	0.247442i	−0.976543	+	0.215322i	$0.930920\pi$
$728$	6.52716	+	11.3106i	0.241913	+	0.419199i
$729$	−0.500000	−	0.866025i	−0.0185185	−	0.0320750i
$730$			0.240310i			0.00889429i
$731$	13.1082	−	36.0144i	0.484823	−	1.33204i
$732$	0.862480	−	2.36964i	0.0318782	−	0.0875846i
$733$		−	27.3901i		−	1.01168i	−0.862628	−	0.505838i	$-0.831183\pi$
$733$		−	27.3901i		−	1.01168i	0.862628	−	0.505838i	$-0.168817\pi$
$734$	2.22599	+	3.85552i	0.0821627	+	0.142310i
$735$	3.14299	+	8.64606i	0.115931	+	0.318915i
$736$	1.11174	+	3.05447i	0.0409791	+	0.112589i
$737$	−5.62160	+	0.991240i	−0.207074	+	0.0365128i
$738$	3.18226	+	8.74320i	0.117141	+	0.321842i
$739$	−4.86624	−	4.08326i	−0.179008	−	0.150205i	0.548881	−	0.835900i	$-0.315054\pi$
$739$	−4.86624	−	4.08326i	−0.179008	−	0.150205i	−0.727889	+	0.685695i	$0.759498\pi$
$740$	4.64466	+	8.04478i	0.170741	+	0.295732i
$741$	2.40645	−	21.3796i	0.0884031	−	0.785398i
$742$	−29.2165	−	5.15769i	−1.07257	−	0.189345i
$743$	32.1015	+	5.66036i	1.17769	+	0.207659i	0.728033	−	0.685542i	$-0.240435\pi$
$743$	32.1015	+	5.66036i	1.17769	+	0.207659i	0.449658	+	0.893201i	$0.351546\pi$
$744$	8.72826	+	1.53903i	0.319993	+	0.0564235i
$745$	14.7130	+	17.5343i	0.539043	+	0.642406i
$746$	−2.14379	+	12.1580i	−0.0784896	+	0.445137i
$747$	4.31532	−	11.8563i	0.157889	−	0.433798i
$748$	−4.22138	+	2.43722i	−0.154349	+	0.0891135i
$749$	0.245939	−	1.39316i	0.00898640	−	0.0509048i
$750$	−1.88797	−	10.7072i	−0.0689388	−	0.390971i
$751$	29.1235	+	34.7081i	1.06273	+	1.26652i	0.962422	+	0.271559i	$0.0875394\pi$
$751$	29.1235	+	34.7081i	1.06273	+	1.26652i	0.100311	+	0.994956i	$0.468016\pi$
$752$	1.70964	−	0.987062i	0.0623442	−	0.0359945i
$753$			25.7439i			0.938159i
$754$	−25.4435	−	9.26067i	−0.926597	−	0.337254i
$755$	14.0854	−	5.12665i	0.512619	−	0.186578i
$756$	−2.29155	+	1.32242i	−0.0833430	+	0.0480958i
$757$	24.6813	+	20.7101i	0.897058	+	0.752721i	0.969613	−	0.244643i	$-0.0786708\pi$
$757$	24.6813	+	20.7101i	0.897058	+	0.752721i	−0.0725548	+	0.997364i	$0.523115\pi$
$758$	−25.5210	+	9.28890i	−0.926966	+	0.337388i
$759$	−1.31632	+	2.27993i	−0.0477793	+	0.0827561i
$760$	4.15001	−	3.94895i	0.150537	−	0.143244i
$761$	0.0605893	−	0.0349813i	0.00219636	−	0.00126807i	−0.498901	−	0.866659i	$-0.666263\pi$
$761$	0.0605893	−	0.0349813i	0.00219636	−	0.00126807i	0.501098	+	0.865391i	$0.332930\pi$
$762$	3.03207	−	17.1957i	0.109840	−	0.622934i
$763$	−3.07501	−	17.4597i	−0.111323	−	0.632084i
$764$	0.489355	+	0.178111i	0.0177042	+	0.00644382i
$765$	6.05912	+	5.08420i	0.219068	+	0.183820i
$766$	26.1805	−	4.61634i	0.945942	−	0.166795i
$767$	39.9951			1.44414
$768$	−1.00000			−0.0360844
$769$	7.18478	−	1.26687i	0.259090	−	0.0456846i	−0.0425943	−	0.999092i	$-0.513562\pi$
$769$	7.18478	−	1.26687i	0.259090	−	0.0456846i	0.301684	+	0.953408i	$0.402451\pi$
$770$	−2.43917	+	1.40760i	−0.0879015	+	0.0507265i
$771$	−8.74519	+	15.1471i	−0.314950	+	0.545510i
$772$	−21.3141	−	12.3057i	−0.767113	−	0.442893i
$773$	6.94957	+	39.4130i	0.249959	+	1.41759i	0.808689	+	0.588236i	$0.200178\pi$
$773$	6.94957	+	39.4130i	0.249959	+	1.41759i	−0.558730	+	0.829349i	$0.688711\pi$
$774$	6.27130	+	1.10580i	0.225417	+	0.0397471i
$775$	5.03693	+	28.5658i	0.180932	+	1.02612i
$776$	−11.9772	+	14.2738i	−0.429955	+	0.512401i
$777$	17.5718	+	6.39958i	0.630383	+	0.229584i
$778$		−	7.93516i		−	0.284489i
$779$	−38.9021	−	11.4658i	−1.39381	−	0.410805i
$780$	5.61769	+	3.24338i	0.201146	+	0.116132i
$781$	4.89407	−	5.83252i	0.175124	−	0.208704i
$782$	3.39707	−	19.2657i	0.121479	−	0.688941i
$783$	1.87623	−	5.15490i	0.0670510	−	0.184221i
$784$	3.49757	+	6.06358i	0.124913	+	0.216556i
$785$	−7.86006	+	6.59537i	−0.280538	+	0.235399i
$786$	−7.09333	+	12.2860i	−0.253011	+	0.438227i
$787$	−7.72671	−	13.3830i	−0.275427	−	0.477054i	0.694816	−	0.719188i	$-0.255486\pi$
$787$	−7.72671	−	13.3830i	−0.275427	−	0.477054i	−0.970243	+	0.242134i	$0.922153\pi$
$788$	−1.38337	−	0.503504i	−0.0492804	−	0.0179366i
$789$	11.6089	−	9.74100i	0.413287	−	0.346789i
$790$	14.2757	+	8.24205i	0.507905	+	0.293239i
$791$	2.98174	−	1.08459i	0.106019	−	0.0385636i
$792$	−0.520604	−	0.620432i	−0.0184989	−	0.0220461i
$793$	−8.00057	+	9.53471i	−0.284109	+	0.338588i
$794$	0.0760701	−	0.0638304i	0.00269963	−	0.00226525i
$795$	−13.8484	+	5.04041i	−0.491152	+	0.178765i
$796$	−6.65758	−	18.2915i	−0.235971	−	0.648326i
$797$	−24.7609			−0.877077			−0.438538	−	0.898712i	$-0.644504\pi$
$797$	−24.7609			−0.877077			−0.438538	+	0.898712i	$0.644504\pi$
$798$	1.29223	−	11.4599i	0.0457446	−	0.405677i
$799$	−11.8812			−0.420325
$800$	−1.11936	−	3.07543i	−0.0395755	−	0.108733i
$801$	−8.34574	+	3.03760i	−0.294882	+	0.107328i
$802$	22.9787	−	19.2814i	0.811407	−	0.680851i
$803$	−0.0951939	+	0.113448i	−0.00335932	+	0.00400348i
$804$	4.53039	+	5.39911i	0.159775	+	0.190412i
$805$	1.96487	−	11.1303i	0.0692525	−	0.392291i
$806$	−37.8846	−	21.8727i	−1.33443	−	0.770433i
$807$	−9.60239	+	8.05736i	−0.338020	+	0.283633i
$808$	0.137060	+	0.0498859i	0.00482177	+	0.00175498i
$809$	12.7800	+	22.1356i	0.449320	+	0.778246i	0.998342	−	0.0575624i	$-0.0183328\pi$
$809$	12.7800	+	22.1356i	0.449320	+	0.778246i	−0.549021	+	0.835808i	$0.684999\pi$
$810$	−0.657115	+	1.13816i	−0.0230887	+	0.0399907i
$811$	27.3408	−	22.9417i	0.960067	−	0.805592i	−0.0208971	−	0.999782i	$-0.506652\pi$
$811$	27.3408	−	22.9417i	0.960067	−	0.805592i	0.980964	+	0.194190i	$0.0622078\pi$
$812$	−13.6376	−	4.96677i	−0.478586	−	0.174300i
$813$	5.47808	−	15.0509i	0.192125	−	0.527858i
$814$	−0.994083	+	5.63773i	−0.0348426	+	0.197602i
$815$	11.1748	−	13.3176i	0.391437	−	0.466496i
$816$	5.21212	+	3.00922i	0.182461	+	0.105344i
$817$	−20.1087	+	19.1345i	−0.703514	+	0.669430i
$818$		−	6.15502i		−	0.215205i
$819$	12.8609	−	2.26507i	0.449397	−	0.0791480i
$820$	7.86001	−	9.36720i	0.274484	−	0.327117i
$821$	9.35533	+	53.0567i	0.326503	+	1.85169i	0.498893	+	0.866664i	$0.333740\pi$
$821$	9.35533	+	53.0567i	0.326503	+	1.85169i	−0.172390	+	0.985029i	$0.555149\pi$
$822$	19.6993	+	3.47351i	0.687091	+	0.121153i
$823$	2.92784	+	16.6046i	0.102058	+	0.578801i	0.992355	+	0.123419i	$0.0393860\pi$
$823$	2.92784	+	16.6046i	0.102058	+	0.578801i	−0.890296	+	0.455382i	$0.849503\pi$
$824$	−14.1209	−	8.15273i	−0.491927	−	0.284014i
$825$	1.32535	−	2.29557i	0.0461427	−	0.0799215i
$826$	21.4387	+	0.00429350i	0.745949	+	0.000149390i
$827$	−4.80256	+	0.846820i	−0.167001	+	0.0294468i	−0.256523	−	0.966538i	$-0.582577\pi$
$827$	−4.80256	+	0.846820i	−0.167001	+	0.0294468i	0.0895222	+	0.995985i	$0.471466\pi$
$828$	3.25050			0.112963
$829$	−2.56451			−0.0890692			−0.0445346	−	0.999008i	$-0.514180\pi$
$829$	−2.56451			−0.0890692			−0.0445346	+	0.999008i	$0.514180\pi$
$830$	−16.3299	+	2.87941i	−0.566820	+	0.0999457i
$831$	−16.9332	−	14.2086i	−0.587405	−	0.492891i
$832$	4.63812	+	1.68814i	0.160798	+	0.0585256i
$833$	0.0168743	−	42.1291i	0.000584658	−	1.45969i
$834$	0.0279264	−	0.158378i	0.000967012	−	0.00548420i
$835$	−12.2663	+	7.08195i	−0.424493	+	0.245081i
$836$	3.52346	−	0.220314i	0.121862	−	0.00761972i
$837$	4.43145	−	7.67550i	0.153173	−	0.265304i
$838$	−23.9333	+	8.71101i	−0.826762	+	0.300917i
$839$	−0.651489	−	0.546664i	−0.0224919	−	0.0188729i	0.631472	−	0.775398i	$-0.282451\pi$
$839$	−0.651489	−	0.546664i	−0.0224919	−	0.0188729i	−0.653964	+	0.756525i	$0.726895\pi$
$840$	3.01093	+	1.73917i	0.103887	+	0.0600069i
$841$	1.02732	−	0.373915i	0.0354250	−	0.0128936i
$842$	−22.7596	−	8.28380i	−0.784346	−	0.285479i
$843$			6.94368i			0.239153i
$844$	1.09633	−	0.632967i	0.0377373	−	0.0217876i
$845$	−9.59826	−	11.4388i	−0.330190	−	0.393505i
$846$	−0.342803	−	1.94413i	−0.0117858	−	0.0668407i
$847$	26.9510	+	4.75776i	0.926048	+	0.163478i
$848$	−9.71121	+	5.60677i	−0.333484	+	0.192537i
$849$	4.71159	−	12.9450i	0.161701	−	0.444271i
$850$	−3.42037	+	19.3979i	−0.117318	+	0.665343i
$851$	−14.7683	−	17.6001i	−0.506250	−	0.603325i
$852$	−9.25793	−	1.63242i	−0.317171	−	0.0559259i
$853$	−48.7394	−	8.59407i	−1.66881	−	0.294255i	−0.742168	−	0.670213i	$-0.766203\pi$
$853$	−48.7394	−	8.59407i	−1.66881	−	0.294255i	−0.926637	+	0.375958i	$0.877314\pi$
$854$	−4.28961	+	5.11008i	−0.146787	+	0.174863i
$855$	−2.29141	−	5.25035i	−0.0783647	−	0.179558i
$856$	−0.267353	−	0.463068i	−0.00913793	−	0.0158274i
$857$	−19.2963	−	16.1915i	−0.659150	−	0.553092i	0.250682	−	0.968069i	$-0.419345\pi$
$857$	−19.2963	−	16.1915i	−0.659150	−	0.553092i	−0.909832	+	0.414977i	$0.863790\pi$
$858$	1.36725	+	3.75649i	0.0466772	+	0.128244i
$859$	16.6081	−	2.92846i	0.566661	−	0.0999176i	0.117024	−	0.993129i	$-0.462664\pi$
$859$	16.6081	−	2.92846i	0.566661	−	0.0999176i	0.449637	+	0.893211i	$0.351553\pi$
$860$	−2.86239	−	7.86435i	−0.0976067	−	0.268172i
$861$	0.00492999	−	24.6169i	0.000168014	−	0.838942i
$862$	−15.2359	−	26.3894i	−0.518938	−	0.898827i
$863$			38.3714i			1.30618i	0.757281	+	0.653089i	$0.226527\pi$
$863$			38.3714i			1.30618i	−0.757281	+	0.653089i	$0.773473\pi$
$864$	−0.342020	+	0.939693i	−0.0116358	+	0.0319690i
$865$	−5.45310	+	14.9823i	−0.185411	+	0.509412i
$866$			9.90887i			0.336717i
$867$	−9.61082	−	16.6464i	−0.326401	−	0.565342i
$868$	−20.3051	−	11.7286i	−0.689200	−	0.398094i
$869$	3.47445	+	9.54597i	0.117863	+	0.323825i
$870$	−7.09998	+	1.25192i	−0.240712	+	0.0424440i
$871$	−11.8981	−	32.6896i	−0.403150	−	1.10765i
$872$	−5.13304	−	4.30714i	−0.173827	−	0.145858i
$873$	9.31658	+	16.1368i	0.315318	+	0.546148i
$874$	−8.41231	+	11.4010i	−0.284551	+	0.385644i
$875$	−5.00076	+	28.3275i	−0.169057	+	0.957646i
$876$	0.180075	+	0.0317520i	0.00608416	+	0.00107280i
$877$	−6.11841	−	1.07884i	−0.206604	−	0.0364299i	0.0693882	−	0.997590i	$-0.477895\pi$
$877$	−6.11841	−	1.07884i	−0.206604	−	0.0364299i	−0.275992	+	0.961160i	$0.589006\pi$
$878$	2.72372	+	3.24601i	0.0919212	+	0.109547i
$879$	−0.860509	+	4.88019i	−0.0290242	+	0.164605i
$880$	−0.364052	+	1.00022i	−0.0122722	+	0.0337176i
$881$	14.6749	−	8.47258i	0.494411	−	0.285449i	−0.231991	−	0.972718i	$-0.574524\pi$
$881$	14.6749	−	8.47258i	0.494411	−	0.285449i	0.726403	+	0.687269i	$0.241191\pi$
$882$	6.89414	−	1.21278i	0.232138	−	0.0408363i
$883$	2.59777	+	14.7327i	0.0874221	+	0.495795i	0.996808	+	0.0798410i	$0.0254412\pi$
$883$	2.59777	+	14.7327i	0.0874221	+	0.495795i	−0.909386	+	0.415954i	$0.863448\pi$
$884$	−19.0945	−	22.7559i	−0.642217	−	0.765364i
$885$	9.22257	−	5.32466i	0.310013	−	0.178986i
$886$		−	11.3470i		−	0.381208i
$887$	−4.60279	−	1.67528i	−0.154546	−	0.0562503i	0.263589	−	0.964635i	$-0.415094\pi$
$887$	−4.60279	−	1.67528i	−0.154546	−	0.0562503i	−0.418135	+	0.908385i	$0.637316\pi$
$888$	6.64199	−	2.41749i	0.222890	−	0.0811255i
$889$	−23.1067	+	40.0035i	−0.774974	+	1.34167i
$890$	8.94138	+	7.50271i	0.299716	+	0.251491i
$891$	−0.761073	+	0.277008i	−0.0254969	+	0.00928011i
$892$	5.78874	−	10.0264i	0.193821	−	0.335709i
$893$	7.70613	+	3.82906i	0.257876	+	0.128135i
$894$	15.0832	−	8.70829i	0.504457	−	0.291249i
$895$	1.42383	−	8.07495i	0.0475934	−	0.269916i
$896$	2.48601	+	0.905398i	0.0830518	+	0.0302472i
$897$	−15.0762	−	5.48729i	−0.503380	−	0.183215i
$898$	−21.2560	−	17.8359i	−0.709321	−	0.595191i
$899$	47.8809	−	8.44269i	1.59692	−	0.281579i
$900$	−3.27280			−0.109093
$901$	67.4880			2.24835
$902$	7.42124	−	1.30856i	0.247100	−	0.0435704i
$903$	−14.5893	−	8.42705i	−0.485502	−	0.280435i
$904$	0.599617	−	1.03857i	0.0199430	−	0.0345422i
$905$	24.9943	+	14.4304i	0.830838	+	0.479684i
$906$	−1.98053	−	11.2321i	−0.0657986	−	0.373163i
$907$	−47.9315	−	8.45162i	−1.59154	−	0.280632i	−0.693471	−	0.720485i	$-0.743919\pi$
$907$	−47.9315	−	8.45162i	−1.59154	−	0.280632i	−0.898070	+	0.439853i	$0.855030\pi$
$908$	1.46373	+	8.30123i	0.0485756	+	0.275486i
$909$	0.0937548	−	0.111733i	0.00310965	−	0.00370594i
$910$	−11.0291	−	13.1493i	−0.365611	−	0.435896i
$911$		−	8.96941i		−	0.297170i	−0.988900	−	0.148585i	$-0.952528\pi$
$911$		−	8.96941i		−	0.297170i	0.988900	−	0.148585i	$-0.0474718\pi$
$912$	−2.41078	−	3.63155i	−0.0798288	−	0.120253i
$913$	−8.84978	−	5.10942i	−0.292885	−	0.169097i
$914$	−1.81530	+	2.16339i	−0.0600446	+	0.0715584i
$915$	−0.575492	+	3.26377i	−0.0190252	+	0.107897i
$916$	4.12031	−	11.3205i	0.136139	−	0.374039i
$917$	28.7578	−	24.1209i	0.949667	−	0.796541i
$918$	4.61039	−	3.86858i	0.152166	−	0.127682i
$919$	10.6736	−	18.4872i	0.352089	−	0.609835i	−0.634527	−	0.772901i	$-0.718805\pi$
$919$	10.6736	−	18.4872i	0.352089	−	0.609835i	0.986615	+	0.163066i	$0.0521383\pi$
$920$	−2.13595	−	3.69958i	−0.0704202	−	0.121971i
$921$	−17.1756	−	6.25141i	−0.565955	−	0.205991i
$922$	−18.8467	+	15.8143i	−0.620684	+	0.520816i
$923$	40.1836	+	23.2000i	1.32266	+	0.763638i
$924$	0.732490	+	2.01376i	0.0240972	+	0.0662477i
$925$	14.8696	+	17.7209i	0.488909	+	0.582659i
$926$	2.70936	−	3.22888i	0.0890349	−	0.106108i
$927$	−12.4907	+	10.4810i	−0.410249	+	0.344240i
$928$	−5.15490	+	1.87623i	−0.169218	+	0.0615903i
$929$	9.86299	+	27.0983i	0.323594	+	0.889068i	0.989693	+	0.143204i	$0.0457406\pi$
$929$	9.86299	+	27.0983i	0.323594	+	0.889068i	−0.666099	+	0.745863i	$0.732037\pi$
$930$	−11.6479			−0.381949
$931$	−13.5883	+	27.3195i	−0.445339	+	0.895362i
$932$	8.36899			0.274135
$933$	−3.82152	−	10.4995i	−0.125111	−	0.343740i
$934$	−21.9101	+	7.97461i	−0.716919	+	0.260937i
$935$	4.90738	−	4.11778i	0.160488	−	0.134666i
$936$	3.17266	−	3.78103i	0.103702	−	0.123587i
$937$	5.90435	+	7.03652i	0.192887	+	0.229873i	0.853816	−	0.520575i	$-0.174282\pi$
$937$	5.90435	+	7.03652i	0.192887	+	0.229873i	−0.660930	+	0.750448i	$0.729838\pi$
$938$	−6.37426	−	17.5241i	−0.208127	−	0.572181i
$939$	−20.1844	−	11.6535i	−0.658692	−	0.380296i
$940$	−1.98747	+	1.66768i	−0.0648240	+	0.0543938i
$941$	−12.7154	−	4.62802i	−0.414510	−	0.150869i	0.126343	−	0.991987i	$-0.459676\pi$
$941$	−12.7154	−	4.62802i	−0.414510	−	0.150869i	−0.540853	+	0.841117i	$0.681898\pi$
$942$	3.90365	+	6.76132i	0.127188	+	0.220296i
$943$	−15.1218	+	26.1918i	−0.492435	+	0.852922i
$944$	6.20732	−	5.20856i	0.202031	−	0.169524i
$945$	2.66408	−	2.23452i	0.0866625	−	0.0726889i
$946$	1.76400	−	4.84654i	0.0573525	−	0.157575i
$947$	−7.09795	+	40.2545i	−0.230652	+	1.30810i	0.620926	+	0.783869i	$0.286757\pi$
$947$	−7.09795	+	40.2545i	−0.230652	+	1.30810i	−0.851579	+	0.524226i	$0.824355\pi$
$948$	8.06235	−	9.60833i	0.261853	−	0.312064i
$949$	−0.781606	−	0.451261i	−0.0253720	−	0.0146485i
$950$	8.47002	−	11.4792i	0.274804	−	0.372434i
$951$		−	22.1129i		−	0.717061i
$952$	−10.2329	−	12.2000i	−0.331649	−	0.395404i
$953$	−12.7724	+	15.2215i	−0.413737	+	0.493073i	−0.932157	−	0.362053i	$-0.882076\pi$
$953$	−12.7724	+	15.2215i	−0.413737	+	0.493073i	0.518420	+	0.855126i	$0.326520\pi$
$954$	1.94721	+	11.0432i	0.0630433	+	0.357536i
$955$	−0.674002	−	0.118845i	−0.0218102	−	0.00384573i
$956$	−0.672834	−	3.81583i	−0.0217610	−	0.123413i
$957$	−3.84774	−	2.22149i	−0.124380	−	0.0718107i
$958$	−19.9336	+	34.5261i	−0.644026	+	1.11549i
$959$	−45.8277	−	26.4709i	−1.47985	−	0.854789i
$960$	1.29426	−	0.228214i	0.0417722	−	0.00736556i
$961$	47.5511			1.53390
$962$	−34.8874			−1.12481
$963$	−0.526582	+	0.0928506i	−0.0169689	+	0.00299207i
$964$	18.1525	+	15.2317i	0.584652	+	0.490581i
$965$	30.3945	+	11.0627i	0.978433	+	0.356120i
$966$	−8.08078	−	2.94300i	−0.259995	−	0.0946894i
$967$	−5.95432	+	33.7686i	−0.191478	+	1.08593i	0.725867	+	0.687835i	$0.241439\pi$
$967$	−5.95432	+	33.7686i	−0.191478	+	1.08593i	−0.917346	+	0.398092i	$0.869673\pi$
$968$	8.95820	−	5.17202i	0.287927	−	0.166235i
$969$	1.63714	+	26.1826i	0.0525926	+	0.841108i
$970$	12.2441	−	21.2075i	0.393135	−	0.680930i
$971$	−21.6258	+	7.87113i	−0.694003	+	0.252597i	−0.664848	−	0.746978i	$-0.731504\pi$
$971$	−21.6258	+	7.87113i	−0.694003	+	0.252597i	−0.0291550	+	0.999575i	$0.509282\pi$
$972$	0.766044	+	0.642788i	0.0245709	+	0.0206174i
$973$	−0.212821	+	0.368446i	−0.00682272	+	0.0118118i
$974$	0.888649	−	0.323442i	0.0284742	−	0.0103637i
$975$	15.1796	+	5.52494i	0.486137	+	0.176940i
$976$			2.52172i			0.0807184i
$977$	38.8857	−	22.4507i	1.24406	−	0.718261i	0.274145	−	0.961688i	$-0.411605\pi$
$977$	38.8857	−	22.4507i	1.24406	−	0.718261i	0.969919	+	0.243428i	$0.0782719\pi$
$978$	−8.50294	−	10.1334i	−0.271894	−	0.324031i
$979$	1.24908	+	7.08387i	0.0399207	+	0.226402i
$980$	−5.91057	−	7.04968i	−0.188806	−	0.225194i
$981$	−5.80299	+	3.35036i	−0.185275	+	0.106969i
$982$	−1.85408	+	5.09404i	−0.0591660	+	0.162557i
$983$	2.30562	−	13.0758i	0.0735378	−	0.417054i	−0.925709	−	0.378238i	$-0.876530\pi$
$983$	2.30562	−	13.0758i	0.0735378	−	0.417054i	0.999246	−	0.0388162i	$-0.0123587\pi$
$984$	−5.98070	−	7.12752i	−0.190658	−	0.227217i
$985$	1.90535	+	0.335964i	0.0607095	+	0.0107047i
$986$	32.5140	+	5.73309i	1.03546	+	0.182579i
$987$	−0.908002	+	5.14351i	−0.0289020	+	0.163720i
$988$	5.05092	+	20.9133i	0.160691	+	0.665340i
$989$	10.3497	+	17.9261i	0.329100	+	0.570018i
$990$	0.815390	+	0.684194i	0.0259148	+	0.0217451i
$991$	12.8182	+	35.2176i	0.407183	+	1.11873i	0.958665	+	0.284539i	$0.0918404\pi$
$991$	12.8182	+	35.2176i	0.407183	+	1.11873i	−0.551482	+	0.834187i	$0.685937\pi$
$992$	−8.72826	+	1.53903i	−0.277122	+	0.0488642i
$993$	−3.61345	−	9.92787i	−0.114669	−	0.315052i
$994$	21.5373	+	12.4403i	0.683122	+	0.394583i
$995$	12.7910	+	22.1547i	0.405503	+	0.702352i
$996$			12.6172i			0.399790i
$997$	10.7963	−	29.6625i	0.341921	−	0.939420i	−0.642916	−	0.765937i	$-0.722276\pi$
$997$	10.7963	−	29.6625i	0.341921	−	0.939420i	0.984837	−	0.173483i	$-0.0555022\pi$
$998$	−7.28859	+	20.0252i	−0.230716	+	0.633888i
$999$		−	7.06825i		−	0.223630i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.ca.a.325.4	✓	72
7.5	odd	6		798.2.cj.a.439.4	yes	72
19.10	odd	18		798.2.cj.a.409.4	yes	72
133.124	even	18	inner	798.2.ca.a.523.4	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.ca.a.325.4	✓	72	1.1	even	1	trivial
798.2.ca.a.523.4	yes	72	133.124	even	18	inner
798.2.cj.a.409.4	yes	72	19.10	odd	18
798.2.cj.a.439.4	yes	72	7.5	odd	6

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:	\( N \)	\(=\)	\( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	798.ca (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.342020 - 0.939693i) q^{2} +(0.939693 - 0.342020i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(0.844771 - 1.00676i) q^{5} +(-0.642788 - 0.766044i) q^{6} +(0.904402 + 2.48637i) q^{7} +(0.866025 + 0.500000i) q^{8} +(0.766044 - 0.642788i) q^{9} +O(q^{10})\)	\(q+(-0.342020 - 0.939693i) q^{2} +(0.939693 - 0.342020i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(0.844771 - 1.00676i) q^{5} +(-0.642788 - 0.766044i) q^{6} +(0.904402 + 2.48637i) q^{7} +(0.866025 + 0.500000i) q^{8} +(0.766044 - 0.642788i) q^{9} +(-1.23497 - 0.449493i) q^{10} +(-0.404958 - 0.701408i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(3.78103 - 3.17266i) q^{13} +(2.02710 - 1.70025i) q^{14} +(0.449493 - 1.23497i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-3.86858 + 4.61039i) q^{17} +(-0.866025 - 0.500000i) q^{18} +(3.99500 - 1.74354i) q^{19} +1.31423i q^{20} +(1.70025 + 2.02710i) q^{21} +(-0.520604 + 0.620432i) q^{22} +(-0.564443 - 3.20112i) q^{23} +(0.984808 + 0.173648i) q^{24} +(0.568316 + 3.22308i) q^{25} +(-4.27451 - 2.46789i) q^{26} +(0.500000 - 0.866025i) q^{27} +(-2.29102 - 1.32333i) q^{28} +(5.40239 - 0.952587i) q^{29} -1.31423 q^{30} +8.86290 q^{31} +(-0.984808 + 0.173648i) q^{32} +(-0.620432 - 0.520604i) q^{33} +(5.65549 + 2.05843i) q^{34} +(3.26719 + 1.18990i) q^{35} +(-0.173648 + 0.984808i) q^{36} +(6.12129 - 3.53413i) q^{37} +(-3.00477 - 3.15775i) q^{38} +(2.46789 - 4.27451i) q^{39} +(1.23497 - 0.449493i) q^{40} +(-7.12752 - 5.98070i) q^{41} +(1.32333 - 2.29102i) q^{42} +(-5.98400 + 2.17800i) q^{43} +(0.761073 + 0.277008i) q^{44} -1.31423i q^{45} +(-2.81502 + 1.62525i) q^{46} +(1.26894 + 1.51227i) q^{47} +(-0.173648 - 0.984808i) q^{48} +(-5.36411 + 4.49737i) q^{49} +(2.83433 - 1.63640i) q^{50} +(-2.05843 + 5.65549i) q^{51} +(-0.857090 + 4.86080i) q^{52} +(-7.20792 - 8.59007i) q^{53} +(-0.984808 - 0.173648i) q^{54} +(-1.04825 - 0.184834i) q^{55} +(-0.459952 + 2.60546i) q^{56} +(3.15775 - 3.00477i) q^{57} +(-2.74287 - 4.75078i) q^{58} +(6.20732 + 5.20856i) q^{59} +(0.449493 + 1.23497i) q^{60} +(-2.48341 + 0.437893i) q^{61} +(-3.03129 - 8.32840i) q^{62} +(2.29102 + 1.32333i) q^{63} +(0.500000 + 0.866025i) q^{64} -6.48676i q^{65} +(-0.277008 + 0.761073i) q^{66} +(2.41057 - 6.62299i) q^{67} -6.01844i q^{68} +(-1.62525 - 2.81502i) q^{69} +(0.000696359 - 3.47713i) q^{70} +(3.21524 + 8.83381i) q^{71} +(0.984808 - 0.173648i) q^{72} +(-0.0625393 - 0.171825i) q^{73} +(-5.41460 - 4.54339i) q^{74} +(1.63640 + 2.83433i) q^{75} +(-1.93962 + 3.90357i) q^{76} +(1.37772 - 1.64123i) q^{77} +(-4.86080 - 0.857090i) q^{78} +(-12.3522 - 2.17803i) q^{79} +(-0.844771 - 1.00676i) q^{80} +(0.173648 - 0.984808i) q^{81} +(-3.18226 + 8.74320i) q^{82} +(10.9268 - 6.30858i) q^{83} +(-2.60546 - 0.459952i) q^{84} +(1.37349 + 7.78945i) q^{85} +(4.09330 + 4.87820i) q^{86} +(4.75078 - 2.74287i) q^{87} -0.809917i q^{88} +(-8.34574 - 3.03760i) q^{89} +(-1.23497 + 0.449493i) q^{90} +(11.3080 + 6.53169i) q^{91} +(2.49003 + 2.08938i) q^{92} +(8.32840 - 3.03129i) q^{93} +(0.987062 - 1.70964i) q^{94} +(1.61954 - 5.49490i) q^{95} +(-0.866025 + 0.500000i) q^{96} +(-3.23561 + 18.3501i) q^{97} +(6.06078 + 3.50243i) q^{98} +(-0.761073 - 0.277008i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 6 q^{7}+O(q^{10}) \) 72 * q - 6 * q^7	\( 72 q - 6 q^{7} + 6 q^{10} + 6 q^{11} - 36 q^{12} + 30 q^{13} - 12 q^{14} + 18 q^{17} + 54 q^{19} - 12 q^{21} + 12 q^{22} - 6 q^{23} + 24 q^{25} + 18 q^{26} + 36 q^{27} + 6 q^{28} - 12 q^{31} - 6 q^{33} + 6 q^{34} - 24 q^{35} + 18 q^{37} - 24 q^{38} - 6 q^{40} + 18 q^{42} + 6 q^{43} - 6 q^{44} + 18 q^{46} - 18 q^{47} + 12 q^{49} + 42 q^{52} - 12 q^{53} - 30 q^{55} + 18 q^{56} + 6 q^{57} - 78 q^{59} - 42 q^{61} - 12 q^{62} - 6 q^{63} + 36 q^{64} - 6 q^{66} - 6 q^{67} + 6 q^{69} - 54 q^{70} + 6 q^{71} + 12 q^{73} - 6 q^{75} - 18 q^{76} + 48 q^{77} - 12 q^{78} - 12 q^{79} + 12 q^{82} + 18 q^{83} - 6 q^{84} + 84 q^{85} + 6 q^{86} - 24 q^{89} + 6 q^{90} + 48 q^{91} + 6 q^{92} + 48 q^{93} - 18 q^{94} - 120 q^{95} + 30 q^{97} + 60 q^{98} + 6 q^{99}+O(q^{100}) \) 72 * q - 6 * q^7 + 6 * q^10 + 6 * q^11 - 36 * q^12 + 30 * q^13 - 12 * q^14 + 18 * q^17 + 54 * q^19 - 12 * q^21 + 12 * q^22 - 6 * q^23 + 24 * q^25 + 18 * q^26 + 36 * q^27 + 6 * q^28 - 12 * q^31 - 6 * q^33 + 6 * q^34 - 24 * q^35 + 18 * q^37 - 24 * q^38 - 6 * q^40 + 18 * q^42 + 6 * q^43 - 6 * q^44 + 18 * q^46 - 18 * q^47 + 12 * q^49 + 42 * q^52 - 12 * q^53 - 30 * q^55 + 18 * q^56 + 6 * q^57 - 78 * q^59 - 42 * q^61 - 12 * q^62 - 6 * q^63 + 36 * q^64 - 6 * q^66 - 6 * q^67 + 6 * q^69 - 54 * q^70 + 6 * q^71 + 12 * q^73 - 6 * q^75 - 18 * q^76 + 48 * q^77 - 12 * q^78 - 12 * q^79 + 12 * q^82 + 18 * q^83 - 6 * q^84 + 84 * q^85 + 6 * q^86 - 24 * q^89 + 6 * q^90 + 48 * q^91 + 6 * q^92 + 48 * q^93 - 18 * q^94 - 120 * q^95 + 30 * q^97 + 60 * q^98 + 6 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

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Database

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