LMFDB - Embedded newform 798.2.ca.a.325.3

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			325.3
Character	$\chi$	$=$	798.325
Dual form			798.2.ca.a.523.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.342020 - 0.939693i) q^{2} +(0.939693 - 0.342020i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(-0.893070 + 1.06432i) q^{5} +(-0.642788 - 0.766044i) q^{6} +(2.63229 + 0.266556i) q^{7} +(0.866025 + 0.500000i) q^{8} +(0.766044 - 0.642788i) q^{9} +O(q^{10})$	\(q+(-0.342020 - 0.939693i) q^{2} +(0.939693 - 0.342020i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(-0.893070 + 1.06432i) q^{5} +(-0.642788 - 0.766044i) q^{6} +(2.63229 + 0.266556i) q^{7} +(0.866025 + 0.500000i) q^{8} +(0.766044 - 0.642788i) q^{9} +(1.30558 + 0.475192i) q^{10} +(-1.06696 - 1.84802i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(-2.48981 + 2.08920i) q^{13} +(-0.649815 - 2.56471i) q^{14} +(-0.475192 + 1.30558i) q^{15} +(0.173648 - 0.984808i) q^{16} +(4.52584 - 5.39369i) q^{17} +(-0.866025 - 0.500000i) q^{18} +(4.04217 + 1.63122i) q^{19} -1.38937i q^{20} +(2.56471 - 0.649815i) q^{21} +(-1.37165 + 1.63467i) q^{22} +(0.558886 + 3.16960i) q^{23} +(0.984808 + 0.173648i) q^{24} +(0.533039 + 3.02302i) q^{25} +(2.81477 + 1.62511i) q^{26} +(0.500000 - 0.866025i) q^{27} +(-2.18779 + 1.48781i) q^{28} +(8.74188 - 1.54143i) q^{29} +1.38937 q^{30} +0.00653143 q^{31} +(-0.984808 + 0.173648i) q^{32} +(-1.63467 - 1.37165i) q^{33} +(-6.61634 - 2.40815i) q^{34} +(-2.63452 + 2.56354i) q^{35} +(-0.173648 + 0.984808i) q^{36} +(0.273834 - 0.158098i) q^{37} +(0.150343 - 4.35631i) q^{38} +(-1.62511 + 2.81477i) q^{39} +(-1.30558 + 0.475192i) q^{40} +(5.36731 + 4.50370i) q^{41} +(-1.48781 - 2.18779i) q^{42} +(10.5761 - 3.84937i) q^{43} +(2.00522 + 0.729842i) q^{44} +1.38937i q^{45} +(2.78730 - 1.60925i) q^{46} +(-8.07444 - 9.62275i) q^{47} +(-0.173648 - 0.984808i) q^{48} +(6.85790 + 1.40331i) q^{49} +(2.65840 - 1.53483i) q^{50} +(2.40815 - 6.61634i) q^{51} +(0.564395 - 3.20084i) q^{52} +(-2.41604 - 2.87932i) q^{53} +(-0.984808 - 0.173648i) q^{54} +(2.91975 + 0.514831i) q^{55} +(2.14635 + 1.54699i) q^{56} +(4.35631 + 0.150343i) q^{57} +(-4.43837 - 7.68748i) q^{58} +(-0.645237 - 0.541418i) q^{59} +(-0.475192 - 1.30558i) q^{60} +(-5.53446 + 0.975875i) q^{61} +(-0.00223388 - 0.00613753i) q^{62} +(2.18779 - 1.48781i) q^{63} +(0.500000 + 0.866025i) q^{64} -4.51576i q^{65} +(-0.729842 + 2.00522i) q^{66} +(-2.46732 + 6.77889i) q^{67} +7.04096i q^{68} +(1.60925 + 2.78730i) q^{69} +(3.31000 + 1.59885i) q^{70} +(-4.14505 - 11.3884i) q^{71} +(0.984808 - 0.173648i) q^{72} +(4.67615 + 12.8476i) q^{73} +(-0.242221 - 0.203247i) q^{74} +(1.53483 + 2.65840i) q^{75} +(-4.14501 + 1.34867i) q^{76} +(-2.31594 - 5.14894i) q^{77} +(3.20084 + 0.564395i) q^{78} +(-10.1169 - 1.78388i) q^{79} +(0.893070 + 1.06432i) q^{80} +(0.173648 - 0.984808i) q^{81} +(2.39637 - 6.58398i) q^{82} +(-2.99438 + 1.72881i) q^{83} +(-1.54699 + 2.14635i) q^{84} +(1.69871 + 9.63388i) q^{85} +(-7.23446 - 8.62169i) q^{86} +(7.68748 - 4.43837i) q^{87} -2.13391i q^{88} +(-8.46071 - 3.07945i) q^{89} +(1.30558 - 0.475192i) q^{90} +(-7.11080 + 4.83571i) q^{91} +(-2.46551 - 2.06881i) q^{92} +(0.00613753 - 0.00223388i) q^{93} +(-6.28080 + 10.8787i) q^{94} +(-5.34608 + 2.84536i) q^{95} +(-0.866025 + 0.500000i) q^{96} +(2.09488 - 11.8807i) q^{97} +(-1.02686 - 6.92427i) q^{98} +(-2.00522 - 0.729842i) 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
$5$	−0.893070	+	1.06432i	−0.399393	+	0.475978i	−0.927835	−	0.372992i	$-0.878332\pi$
$5$	−0.893070	+	1.06432i	−0.399393	+	0.475978i	0.528442	+	0.848969i	$0.322776\pi$
$6$	−0.642788	−	0.766044i	−0.262417	−	0.312736i
$7$	2.63229	+	0.266556i	0.994912	+	0.100749i
$7$	2.63229	+	0.266556i	0.994912	+	0.100749i
$8$	0.866025	+	0.500000i	0.306186	+	0.176777i
$9$	0.766044	−	0.642788i	0.255348	−	0.214263i
$10$	1.30558	+	0.475192i	0.412861	+	0.150269i
$11$	−1.06696	−	1.84802i	−0.321700	−	0.557200i	0.659139	−	0.752021i	$-0.270921\pi$
$11$	−1.06696	−	1.84802i	−0.321700	−	0.557200i	−0.980839	+	0.194821i	$0.937587\pi$
$12$	−0.500000	+	0.866025i	−0.144338	+	0.250000i
$13$	−2.48981	+	2.08920i	−0.690550	+	0.579440i	−0.919068	−	0.394100i	$-0.871056\pi$
$13$	−2.48981	+	2.08920i	−0.690550	+	0.579440i	0.228518	+	0.973540i	$0.426612\pi$
$14$	−0.649815	−	2.56471i	−0.173670	−	0.685448i
$15$	−0.475192	+	1.30558i	−0.122694	+	0.337099i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	4.52584	−	5.39369i	1.09768	−	1.30816i	0.150088	−	0.988673i	$-0.452044\pi$
$17$	4.52584	−	5.39369i	1.09768	−	1.30816i	0.947590	−	0.319489i	$-0.103511\pi$
$18$	−0.866025	−	0.500000i	−0.204124	−	0.117851i
$19$	4.04217	+	1.63122i	0.927337	+	0.374228i
$19$	4.04217	+	1.63122i	0.927337	+	0.374228i
$20$		−	1.38937i		−	0.310672i
$21$	2.56471	−	0.649815i	0.559666	−	0.141801i
$22$	−1.37165	+	1.63467i	−0.292437	+	0.348513i
$23$	0.558886	+	3.16960i	0.116536	+	0.660907i	0.985978	+	0.166873i	$0.0533670\pi$
$23$	0.558886	+	3.16960i	0.116536	+	0.660907i	−0.869443	+	0.494034i	$0.835522\pi$
$24$	0.984808	+	0.173648i	0.201023	+	0.0354458i
$25$	0.533039	+	3.02302i	0.106608	+	0.604603i
$26$	2.81477	+	1.62511i	0.552022	+	0.318710i
$27$	0.500000	−	0.866025i	0.0962250	−	0.166667i
$28$	−2.18779	+	1.48781i	−0.413453	+	0.281170i
$29$	8.74188	−	1.54143i	1.62333	−	0.286236i	0.713323	−	0.700836i	$-0.247189\pi$
$29$	8.74188	−	1.54143i	1.62333	−	0.286236i	0.910004	+	0.414600i	$0.136078\pi$
$30$	1.38937			0.253663
$31$	0.00653143			0.00117308			0.000586540	−	1.00000i	$-0.499813\pi$
$31$	0.00653143			0.00117308			0.000586540		1.00000i	$0.499813\pi$
$32$	−0.984808	+	0.173648i	−0.174091	+	0.0306970i
$33$	−1.63467	−	1.37165i	−0.284560	−	0.238774i
$34$	−6.61634	−	2.40815i	−1.13469	−	0.412994i
$35$	−2.63452	+	2.56354i	−0.445315	+	0.433318i
$36$	−0.173648	+	0.984808i	−0.0289414	+	0.164135i
$37$	0.273834	−	0.158098i	0.0450181	−	0.0259912i	−0.477322	−	0.878728i	$-0.658392\pi$
$37$	0.273834	−	0.158098i	0.0450181	−	0.0259912i	0.522340	+	0.852737i	$0.325059\pi$
$38$	0.150343	−	4.35631i	0.0243889	−	0.706686i
$39$	−1.62511	+	2.81477i	−0.260226	+	0.450724i
$40$	−1.30558	+	0.475192i	−0.206430	+	0.0751345i
$41$	5.36731	+	4.50370i	0.838232	+	0.703360i	0.957165	−	0.289542i	$-0.0935029\pi$
$41$	5.36731	+	4.50370i	0.838232	+	0.703360i	−0.118933	+	0.992902i	$0.537947\pi$
$42$	−1.48781	−	2.18779i	−0.229574	−	0.337583i
$43$	10.5761	−	3.84937i	1.61284	−	0.587024i	0.630837	−	0.775915i	$-0.282712\pi$
$43$	10.5761	−	3.84937i	1.61284	−	0.587024i	0.981998	+	0.188891i	$0.0604893\pi$
$44$	2.00522	+	0.729842i	0.302299	+	0.110028i
$45$			1.38937i			0.207115i
$46$	2.78730	−	1.60925i	0.410965	−	0.237271i
$47$	−8.07444	−	9.62275i	−1.17778	−	1.40362i	−0.895949	−	0.444157i	$-0.853503\pi$
$47$	−8.07444	−	9.62275i	−1.17778	−	1.40362i	−0.281830	−	0.959464i	$-0.590941\pi$
$48$	−0.173648	−	0.984808i	−0.0250640	−	0.142145i
$49$	6.85790	+	1.40331i	0.979699	+	0.200472i
$50$	2.65840	−	1.53483i	0.375954	−	0.217057i
$51$	2.40815	−	6.61634i	0.337209	−	0.926473i
$52$	0.564395	−	3.20084i	0.0782674	−	0.443877i
$53$	−2.41604	−	2.87932i	−0.331868	−	0.395505i	0.574146	−	0.818753i	$-0.305334\pi$
$53$	−2.41604	−	2.87932i	−0.331868	−	0.395505i	−0.906014	+	0.423248i	$0.860890\pi$
$54$	−0.984808	−	0.173648i	−0.134015	−	0.0236305i
$55$	2.91975	+	0.514831i	0.393699	+	0.0694198i
$56$	2.14635	+	1.54699i	0.286818	+	0.206725i
$57$	4.35631	+	0.150343i	0.577007	+	0.0199134i
$58$	−4.43837	−	7.68748i	−0.582786	−	1.00942i
$59$	−0.645237	−	0.541418i	−0.0840028	−	0.0704867i	0.599819	−	0.800135i	$-0.295239\pi$
$59$	−0.645237	−	0.541418i	−0.0840028	−	0.0704867i	−0.683822	+	0.729649i	$0.739684\pi$
$60$	−0.475192	−	1.30558i	−0.0613471	−	0.168550i
$61$	−5.53446	+	0.975875i	−0.708615	+	0.124948i	−0.516328	−	0.856391i	$-0.672702\pi$
$61$	−5.53446	+	0.975875i	−0.708615	+	0.124948i	−0.192287	+	0.981339i	$0.561590\pi$
$62$	−0.00223388	−	0.00613753i	−0.000283703	−	0.000779468i
$63$	2.18779	−	1.48781i	0.275636	−	0.187446i
$64$	0.500000	+	0.866025i	0.0625000	+	0.108253i
$65$		−	4.51576i		−	0.560111i
$66$	−0.729842	+	2.00522i	−0.0898373	+	0.246826i
$67$	−2.46732	+	6.77889i	−0.301431	+	0.828174i	0.692821	+	0.721109i	$0.256367\pi$
$67$	−2.46732	+	6.77889i	−0.301431	+	0.828174i	−0.994252	+	0.107065i	$0.965855\pi$
$68$			7.04096i			0.853842i
$69$	1.60925	+	2.78730i	0.193731	+	0.335551i
$70$	3.31000	+	1.59885i	0.395621	+	0.191100i
$71$	−4.14505	−	11.3884i	−0.491926	−	1.35156i	−0.898915	−	0.438124i	$-0.855643\pi$
$71$	−4.14505	−	11.3884i	−0.491926	−	1.35156i	0.406988	−	0.913433i	$-0.366579\pi$
$72$	0.984808	−	0.173648i	0.116061	−	0.0204646i
$73$	4.67615	+	12.8476i	0.547302	+	1.50370i	0.837339	+	0.546684i	$0.184110\pi$
$73$	4.67615	+	12.8476i	0.547302	+	1.50370i	−0.290037	+	0.957016i	$0.593668\pi$
$74$	−0.242221	−	0.203247i	−0.0281576	−	0.0236270i
$75$	1.53483	+	2.65840i	0.177226	+	0.306965i
$76$	−4.14501	+	1.34867i	−0.475465	+	0.154703i
$77$	−2.31594	−	5.14894i	−0.263926	−	0.586776i
$78$	3.20084	+	0.564395i	0.362424	+	0.0639051i
$79$	−10.1169	−	1.78388i	−1.13824	−	0.200703i	−0.427405	−	0.904060i	$-0.640572\pi$
$79$	−10.1169	−	1.78388i	−1.13824	−	0.200703i	−0.710836	+	0.703358i	$0.751683\pi$
$80$	0.893070	+	1.06432i	0.0998482	+	0.118994i
$81$	0.173648	−	0.984808i	0.0192942	−	0.109423i
$82$	2.39637	−	6.58398i	0.264635	−	0.727078i
$83$	−2.99438	+	1.72881i	−0.328676	+	0.189761i	−0.655253	−	0.755409i	$-0.727438\pi$
$83$	−2.99438	+	1.72881i	−0.328676	+	0.189761i	0.326577	+	0.945171i	$0.394105\pi$
$84$	−1.54699	+	2.14635i	−0.168790	+	0.234186i
$85$	1.69871	+	9.63388i	0.184251	+	1.04494i
$86$	−7.23446	−	8.62169i	−0.780112	−	0.929701i
$87$	7.68748	−	4.43837i	0.824184	−	0.475843i
$88$		−	2.13391i		−	0.227476i
$89$	−8.46071	−	3.07945i	−0.896833	−	0.326421i	−0.147850	−	0.989010i	$-0.547235\pi$
$89$	−8.46071	−	3.07945i	−0.896833	−	0.326421i	−0.748983	+	0.662589i	$0.769458\pi$
$90$	1.30558	−	0.475192i	0.137620	−	0.0500897i
$91$	−7.11080	+	4.83571i	−0.745414	+	0.506920i
$92$	−2.46551	−	2.06881i	−0.257047	−	0.215688i
$93$	0.00613753	−	0.00223388i	0.000636433	−	0.000231643i
$94$	−6.28080	+	10.8787i	−0.647815	+	1.12205i
$95$	−5.34608	+	2.84536i	−0.548496	+	0.291928i
$96$	−0.866025	+	0.500000i	−0.0883883	+	0.0510310i
$97$	2.09488	−	11.8807i	0.212703	−	1.20630i	−0.672145	−	0.740420i	$-0.734627\pi$
$97$	2.09488	−	11.8807i	0.212703	−	1.20630i	0.884848	−	0.465880i	$-0.154262\pi$
$98$	−1.02686	−	6.92427i	−0.103729	−	0.699457i
$99$	−2.00522	−	0.729842i	−0.201533	−	0.0733518i
$100$	−2.35149	−	1.97313i	−0.235149	−	0.197313i
$101$	−11.7630	+	2.07413i	−1.17046	+	0.206384i	−0.724892	−	0.688863i	$-0.758110\pi$
$101$	−11.7630	+	2.07413i	−1.17046	+	0.206384i	−0.445570	+	0.895247i	$0.646999\pi$
$102$	−7.04096			−0.697159
$103$	0.441249			0.0434775			0.0217388	−	0.999764i	$-0.493080\pi$
$103$	0.441249			0.0434775			0.0217388	+	0.999764i	$0.493080\pi$
$104$	−3.20084	+	0.564395i	−0.313868	+	0.0553434i
$105$	−1.59885	+	3.31000i	−0.156032	+	0.323023i
$106$	−1.87934	+	3.25512i	−0.182538	+	0.316165i
$107$	10.7221	+	6.19042i	1.03655	+	0.598451i	0.918853	−	0.394599i	$-0.129117\pi$
$107$	10.7221	+	6.19042i	1.03655	+	0.598451i	0.117693	+	0.993050i	$0.462450\pi$
$108$	0.173648	+	0.984808i	0.0167093	+	0.0947632i
$109$	−9.98108	−	1.75993i	−0.956014	−	0.168571i	−0.326186	−	0.945306i	$-0.605764\pi$
$109$	−9.98108	−	1.75993i	−0.956014	−	0.168571i	−0.629828	+	0.776735i	$0.716875\pi$
$110$	−0.514831	−	2.91975i	−0.0490872	−	0.278388i
$111$	0.203247	−	0.242221i	0.0192914	−	0.0229906i
$112$	0.719599	−	2.54601i	0.0679957	−	0.240576i
$113$			18.5470i			1.74476i	0.488830	+	0.872379i	$0.337424\pi$
$113$			18.5470i			1.74476i	−0.488830	+	0.872379i	$0.662576\pi$
$114$	−1.34867	−	4.14501i	−0.126314	−	0.388216i
$115$	−3.87259	−	2.23584i	−0.361121	−	0.208493i
$116$	−5.70586	+	6.79998i	−0.529776	+	0.631362i
$117$	−0.564395	+	3.20084i	−0.0521783	+	0.295918i
$118$	−0.288083	+	0.791501i	−0.0265202	+	0.0728636i
$119$	13.3511	−	12.9914i	1.22389	−	1.19092i
$120$	−1.06432	+	0.893070i	−0.0971586	+	0.0815257i
$121$	3.22321	−	5.58276i	0.293019	−	0.507523i
$122$	2.80992	+	4.86692i	0.254398	+	0.440630i
$123$	6.58398	+	2.39637i	0.593657	+	0.216074i
$124$	−0.00500336	+	0.00419832i	−0.000449315	+	0.000377020i
$125$	−9.70964	−	5.60586i	−0.868457	−	0.501404i
$126$	−2.14635	−	1.54699i	−0.191212	−	0.137817i
$127$	8.58679	+	10.2333i	0.761955	+	0.908062i	0.997970	−	0.0636872i	$-0.0202860\pi$
$127$	8.58679	+	10.2333i	0.761955	+	0.908062i	−0.236015	+	0.971749i	$0.575842\pi$
$128$	0.642788	−	0.766044i	0.0568149	−	0.0677094i
$129$	8.62169	−	7.23446i	0.759098	−	0.636958i
$130$	−4.24342	+	1.54448i	−0.372173	+	0.135460i
$131$	1.85190	+	5.08805i	0.161801	+	0.444545i	0.993927	−	0.110042i	$-0.0350986\pi$
$131$	1.85190	+	5.08805i	0.161801	+	0.444545i	−0.832126	+	0.554587i	$0.812876\pi$
$132$	2.13391			0.185733
$133$	10.2053	+	5.37131i	0.884916	+	0.465752i
$134$	7.21395			0.623190
$135$	0.475192	+	1.30558i	0.0408980	+	0.112366i
$136$	6.61634	−	2.40815i	0.567346	−	0.206497i
$137$	13.0708	−	10.9677i	1.11671	−	0.937031i	0.118277	−	0.992981i	$-0.462263\pi$
$137$	13.0708	−	10.9677i	1.11671	−	0.937031i	0.998434	+	0.0559495i	$0.0178186\pi$
$138$	2.06881	−	2.46551i	0.176109	−	0.209878i
$139$	2.01968	+	2.40696i	0.171307	+	0.204156i	0.844866	−	0.534977i	$-0.179680\pi$
$139$	2.01968	+	2.40696i	0.171307	+	0.204156i	−0.673559	+	0.739133i	$0.735235\pi$
$140$	0.370345	−	3.65722i	0.0312999	−	0.309092i
$141$	−10.8787	−	6.28080i	−0.916149	−	0.528939i
$142$	−9.28393	+	7.79014i	−0.779090	+	0.653734i
$143$	6.51741	+	2.37214i	0.545014	+	0.198369i
$144$	−0.500000	−	0.866025i	−0.0416667	−	0.0721688i
$145$	−6.16653	+	10.6808i	−0.512103	+	0.886988i
$146$	10.4735	−	8.78829i	0.866791	−	0.727324i
$147$	6.92427	−	1.02686i	0.571104	−	0.0846942i
$148$	−0.108146	+	0.297128i	−0.00888952	+	0.0244237i
$149$	1.02281	−	5.80067i	0.0837922	−	0.475209i	−0.913819	−	0.406123i	$-0.866881\pi$
$149$	1.02281	−	5.80067i	0.0837922	−	0.475209i	0.997611	−	0.0690862i	$-0.0220084\pi$
$150$	1.97313	−	2.35149i	0.161106	−	0.191998i
$151$	5.16235	+	2.98049i	0.420106	+	0.242548i	0.695123	−	0.718891i	$-0.255350\pi$
$151$	5.16235	+	2.98049i	0.420106	+	0.242548i	−0.275017	+	0.961439i	$0.588683\pi$
$152$	2.68501	+	3.43376i	0.217783	+	0.278515i
$153$		−	7.04096i		−	0.569228i
$154$	−4.04632	+	3.93731i	−0.326062	+	0.317277i
$155$	−0.00583302	+	0.00695152i	−0.000468519	+	0.000558360i
$156$	−0.564395	−	3.20084i	−0.0451877	−	0.256272i
$157$	−9.92666	−	1.75034i	−0.792234	−	0.139692i	−0.237135	−	0.971477i	$-0.576208\pi$
$157$	−9.92666	−	1.75034i	−0.792234	−	0.139692i	−0.555099	+	0.831784i	$0.687320\pi$
$158$	1.78388	+	10.1169i	0.141918	+	0.804858i
$159$	−3.25512	−	1.87934i	−0.258147	−	0.149042i
$160$	0.694685	−	1.20323i	0.0549197	−	0.0951236i
$161$	0.626273	+	8.49227i	0.0493572	+	0.669285i
$162$	−0.984808	+	0.173648i	−0.0773738	+	0.0136431i
$163$	−21.0177			−1.64624			−0.823118	−	0.567871i	$-0.807767\pi$
$163$	−21.0177			−1.64624			−0.823118	+	0.567871i	$0.807767\pi$
$164$	−7.00652			−0.547117
$165$	2.91975	−	0.514831i	0.227302	−	0.0400796i
$166$	2.64868	+	2.22251i	0.205578	+	0.172500i
$167$	2.56703	+	0.934321i	0.198642	+	0.0722999i	0.439426	−	0.898279i	$-0.355182\pi$
$167$	2.56703	+	0.934321i	0.198642	+	0.0722999i	−0.240783	+	0.970579i	$0.577404\pi$
$168$	2.54601	+	0.719599i	0.196429	+	0.0555183i
$169$	−0.423020	+	2.39907i	−0.0325400	+	0.184544i
$170$	8.47189	−	4.89125i	0.649765	−	0.375142i
$171$	4.14501	−	1.34867i	0.316977	−	0.103135i
$172$	−5.62741	+	9.74696i	−0.429086	+	0.743199i
$173$	−20.9124	+	7.61149i	−1.58994	+	0.578691i	−0.977335	−	0.211699i	$-0.932101\pi$
$173$	−20.9124	+	7.61149i	−1.58994	+	0.578691i	−0.612605	+	0.790389i	$0.709878\pi$
$174$	−6.79998	−	5.70586i	−0.515505	−	0.432560i
$175$	0.597311	+	8.09954i	0.0451524	+	0.612268i
$176$	−2.00522	+	0.729842i	−0.151149	+	0.0550139i
$177$	−0.791501	−	0.288083i	−0.0594928	−	0.0216536i
$178$			9.00370i			0.674856i
$179$	−2.18517	+	1.26161i	−0.163327	+	0.0942969i	−0.579436	−	0.815018i	$-0.696727\pi$
$179$	−2.18517	+	1.26161i	−0.163327	+	0.0942969i	0.416109	+	0.909315i	$0.363394\pi$
$180$	−0.893070	−	1.06432i	−0.0665655	−	0.0793296i
$181$	4.13770	+	23.4660i	0.307553	+	1.74422i	0.611240	+	0.791446i	$0.290671\pi$
$181$	4.13770	+	23.4660i	0.307553	+	1.74422i	−0.303687	+	0.952772i	$0.598218\pi$
$182$	6.97611	+	5.02805i	0.517104	+	0.372704i
$183$	−4.86692	+	2.80992i	−0.359773	+	0.207715i
$184$	−1.10079	+	3.02440i	−0.0811513	+	0.222961i
$185$	−0.0762861	+	0.432640i	−0.00560866	+	0.0318083i
$186$	−0.00419832	−	0.00500336i	−0.000307836	−	0.000366864i
$187$	−14.7965	−	2.60903i	−1.08203	−	0.190791i
$188$	12.3708	+	2.18130i	0.902231	+	0.159088i
$189$	1.54699	−	2.14635i	0.112527	−	0.156124i
$190$	4.50223	+	4.05050i	0.326626	+	0.293854i
$191$	2.45283	+	4.24842i	0.177480	+	0.307405i	0.941017	−	0.338360i	$-0.109872\pi$
$191$	2.45283	+	4.24842i	0.177480	+	0.307405i	−0.763537	+	0.645765i	$0.776539\pi$
$192$	0.766044	+	0.642788i	0.0552845	+	0.0463892i
$193$	−7.35966	−	20.2205i	−0.529760	−	1.45550i	−0.859354	−	0.511381i	$-0.829134\pi$
$193$	−7.35966	−	20.2205i	−0.529760	−	1.45550i	0.329594	−	0.944123i	$-0.393088\pi$
$194$	−11.8807	+	2.09488i	−0.852983	+	0.150404i
$195$	−1.54448	−	4.24342i	−0.110602	−	0.303878i
$196$	−6.15548	+	3.33318i	−0.439677	+	0.238084i
$197$	−2.93339	−	5.08078i	−0.208995	−	0.361990i	0.742403	−	0.669954i	$-0.233686\pi$
$197$	−2.93339	−	5.08078i	−0.208995	−	0.361990i	−0.951398	+	0.307963i	$0.900353\pi$
$198$			2.13391i			0.151651i
$199$	7.22545	−	19.8518i	0.512199	−	1.40725i	−0.366742	−	0.930323i	$-0.619527\pi$
$199$	7.22545	−	19.8518i	0.512199	−	1.40725i	0.878941	−	0.476931i	$-0.158251\pi$
$200$	−1.04988	+	2.88453i	−0.0742379	+	0.203967i
$201$			7.21395i			0.508833i
$202$	5.97223	+	10.3442i	0.420205	+	0.727816i
$203$	23.4220	−	1.72729i	1.64390	−	0.121232i
$204$	2.40815	+	6.61634i	0.168604	+	0.463236i
$205$	−9.58676	+	1.69040i	−0.669568	+	0.118063i
$206$	−0.150916	−	0.414638i	−0.0105148	−	0.0288892i
$207$	2.46551	+	2.06881i	0.171365	+	0.143792i
$208$	1.62511	+	2.81477i	0.112681	+	0.195169i
$209$	−1.29828	−	9.21046i	−0.0898042	−	0.637101i
$210$	3.65722	+	0.370345i	0.252372	+	0.0255562i
$211$	−4.58640	−	0.808707i	−0.315741	−	0.0556737i	0.0135320	−	0.999908i	$-0.495693\pi$
$211$	−4.58640	−	0.808707i	−0.315741	−	0.0556737i	−0.329273	+	0.944235i	$0.606804\pi$
$212$	3.70158	+	0.652689i	0.254226	+	0.0448268i
$213$	−7.79014	−	9.28393i	−0.533772	−	0.636124i
$214$	2.14991	−	12.1927i	0.146965	−	0.833479i
$215$	−5.34820	+	14.6941i	−0.364744	+	1.00213i
$216$	0.866025	−	0.500000i	0.0589256	−	0.0340207i
$217$	0.0171926	+	0.00174099i	0.00116711	+	0.000118186i
$218$	1.75993	+	9.98108i	0.119198	+	0.676004i
$219$	8.78829	+	10.4735i	0.593857	+	0.707732i
$220$	−2.56759	+	1.48240i	−0.173107	+	0.0999432i
$221$			22.8847i			1.53939i
$222$	−0.297128	−	0.108146i	−0.0199419	−	0.00725826i
$223$	−6.71659	+	2.44464i	−0.449776	+	0.163705i	−0.556969	−	0.830533i	$-0.688036\pi$
$223$	−6.71659	+	2.44464i	−0.449776	+	0.163705i	0.107193	+	0.994238i	$0.465814\pi$
$224$	−2.63859	+	0.194586i	−0.176298	+	0.0130013i
$225$	2.35149	+	1.97313i	0.156766	+	0.131542i
$226$	17.4285	−	6.34346i	1.15933	−	0.421961i
$227$	−8.24722	+	14.2846i	−0.547387	+	0.948102i	0.451065	+	0.892491i	$0.351044\pi$
$227$	−8.24722	+	14.2846i	−0.547387	+	0.948102i	−0.998452	+	0.0556114i	$0.982289\pi$
$228$	−3.43376	+	2.68501i	−0.227406	+	0.177819i
$229$	−17.9158	+	10.3437i	−1.18391	+	0.683532i	−0.956916	−	0.290364i	$-0.906224\pi$
$229$	−17.9158	+	10.3437i	−1.18391	+	0.683532i	−0.226996	+	0.973896i	$0.572890\pi$
$230$	−0.776499	+	4.40374i	−0.0512008	+	0.290374i
$231$	−3.93731	−	4.04632i	−0.259056	−	0.266228i
$232$	8.34141	+	3.03602i	0.547640	+	0.199325i
$233$	−14.1685	−	11.8888i	−0.928208	−	0.778859i	0.0472868	−	0.998881i	$-0.484943\pi$
$233$	−14.1685	−	11.8888i	−0.928208	−	0.778859i	−0.975495	+	0.220022i	$0.929387\pi$
$234$	3.20084	−	0.564395i	0.209246	−	0.0368956i
$235$	17.4527			1.13849
$236$	0.842298			0.0548289
$237$	−10.1169	+	1.78388i	−0.657164	+	0.115876i
$238$	−16.7742	−	8.10258i	−1.08731	−	0.525212i
$239$	3.72174	−	6.44625i	0.240740	−	0.416973i	−0.720186	−	0.693782i	$-0.755943\pi$
$239$	3.72174	−	6.44625i	0.240740	−	0.416973i	0.960925	+	0.276808i	$0.0892767\pi$
$240$	1.20323	+	0.694685i	0.0776681	+	0.0448417i
$241$	4.09957	+	23.2498i	0.264077	+	1.49765i	0.771651	+	0.636046i	$0.219431\pi$
$241$	4.09957	+	23.2498i	0.264077	+	1.49765i	−0.507574	+	0.861608i	$0.669458\pi$
$242$	−6.34848	−	1.11941i	−0.408095	−	0.0719582i
$243$	−0.173648	−	0.984808i	−0.0111395	−	0.0631754i
$244$	3.61236	−	4.30505i	0.231258	−	0.275602i
$245$	−7.61814	+	6.04574i	−0.486705	+	0.386248i
$246$		−	7.00652i		−	0.446719i
$247$	−13.4722	+	4.38347i	−0.857215	+	0.278913i
$248$	0.00565638	+	0.00326571i	0.000359181	+	0.000207373i
$249$	−2.22251	+	2.64868i	−0.140846	+	0.167854i
$250$	−1.94690	+	11.0414i	−0.123133	+	0.698319i
$251$	−0.714596	+	1.96334i	−0.0451049	+	0.123925i	−0.960200	−	0.279313i	$-0.909893\pi$
$251$	−0.714596	+	1.96334i	−0.0451049	+	0.123925i	0.915095	+	0.403238i	$0.132115\pi$
$252$	−0.719599	+	2.54601i	−0.0453305	+	0.160384i
$253$	5.26119	−	4.41466i	0.330768	−	0.277547i
$254$	6.67934	−	11.5690i	0.419099	−	0.725901i
$255$	4.89125	+	8.47189i	0.306302	+	0.530530i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	−10.1066	+	8.48042i	−0.630431	+	0.528994i	−0.901063	−	0.433689i	$-0.857212\pi$
$257$	−10.1066	+	8.48042i	−0.630431	+	0.528994i	0.270632	+	0.962683i	$0.412767\pi$
$258$	−9.74696	−	5.62741i	−0.606819	−	0.350347i
$259$	0.762953	−	0.343168i	0.0474076	−	0.0213234i
$260$	2.90267	+	3.45927i	0.180016	+	0.214535i
$261$	5.70586	−	6.79998i	0.353184	−	0.420908i
$262$	4.14781	−	3.48043i	0.256253	−	0.215022i
$263$	7.33397	−	2.66935i	0.452232	−	0.164599i	−0.105855	−	0.994382i	$-0.533758\pi$
$263$	7.33397	−	2.66935i	0.452232	−	0.164599i	0.558087	+	0.829783i	$0.311536\pi$
$264$	−0.729842	−	2.00522i	−0.0449186	−	0.123413i
$265$	5.22220			0.320797
$266$	1.55695	−	11.4270i	0.0954625	−	0.700633i
$267$	−9.00370			−0.551017
$268$	−2.46732	−	6.77889i	−0.150715	−	0.414087i
$269$	−21.6348	+	7.87443i	−1.31910	+	0.480112i	−0.903169	−	0.429285i	$-0.858766\pi$
$269$	−21.6348	+	7.87443i	−1.31910	+	0.480112i	−0.415929	+	0.909397i	$0.636543\pi$
$270$	1.06432	−	0.893070i	0.0647724	−	0.0543505i
$271$	13.0444	−	15.5457i	0.792391	−	0.944335i	−0.207031	−	0.978334i	$-0.566380\pi$
$271$	13.0444	−	15.5457i	0.792391	−	0.944335i	0.999422	+	0.0339998i	$0.0108246\pi$
$272$	−4.52584	−	5.39369i	−0.274420	−	0.327040i
$273$	−5.02805	+	6.97611i	−0.304312	+	0.422214i
$274$	−14.7767	−	8.53133i	−0.892693	−	0.515397i
$275$	5.01788	−	4.21050i	0.302589	−	0.253903i
$276$	−3.02440	−	1.10079i	−0.182047	−	0.0662598i
$277$	6.22101	+	10.7751i	0.373784	+	0.647414i	0.990144	−	0.140051i	$-0.0447266\pi$
$277$	6.22101	+	10.7751i	0.373784	+	0.647414i	−0.616360	+	0.787465i	$0.711393\pi$
$278$	1.57103	−	2.72111i	0.0942243	−	0.163201i
$279$	0.00500336	−	0.00419832i	0.000299544	−	0.000251347i
$280$	−3.56333	+	0.902834i	−0.212950	+	0.0539546i
$281$	2.54493	−	6.99214i	0.151818	−	0.417116i	−0.840348	−	0.542048i	$-0.817649\pi$
$281$	2.54493	−	6.99214i	0.151818	−	0.417116i	0.992165	+	0.124932i	$0.0398713\pi$
$282$	−2.18130	+	12.3708i	−0.129894	+	0.736668i
$283$	0.302464	−	0.360463i	0.0179796	−	0.0214273i	−0.756980	−	0.653438i	$-0.773326\pi$
$283$	0.302464	−	0.360463i	0.0179796	−	0.0214273i	0.774959	+	0.632011i	$0.217770\pi$
$284$	10.4956	+	6.05965i	0.622801	+	0.359574i
$285$	−4.05050	+	4.50223i	−0.239931	+	0.266689i
$286$		−	6.93569i		−	0.410116i
$287$	12.9278	+	13.2857i	0.763105	+	0.784233i
$288$	−0.642788	+	0.766044i	−0.0378766	+	0.0451396i
$289$	−5.65662	−	32.0803i	−0.332742	−	1.88707i
$290$	12.1457	+	2.14162i	0.713220	+	0.125760i
$291$	−2.09488	−	11.8807i	−0.122804	−	0.696458i
$292$	−11.8404	−	6.83607i	−0.692909	−	0.400051i
$293$	−14.3751	+	24.8985i	−0.839804	+	1.45458i	0.0502541	+	0.998736i	$0.483997\pi$
$293$	−14.3751	+	24.8985i	−0.839804	+	1.45458i	−0.890058	+	0.455847i	$0.849336\pi$
$294$	−3.33318	−	6.15548i	−0.194395	−	0.358995i
$295$	1.15248	−	0.203214i	0.0671002	−	0.0118316i
$296$	0.316197			0.0183786
$297$	−2.13391			−0.123822
$298$	−5.80067	+	1.02281i	−0.336024	+	0.0592500i
$299$	−8.01345	−	6.72408i	−0.463430	−	0.388864i
$300$	−2.88453	−	1.04988i	−0.166538	−	0.0606150i
$301$	28.8653	−	7.31355i	1.66377	−	0.421546i
$302$	1.03511	−	5.87041i	0.0595640	−	0.337804i
$303$	−10.3442	+	5.97223i	−0.594259	+	0.343096i
$304$	2.30835	−	3.69750i	0.132393	−	0.212066i
$305$	3.90402	−	6.76195i	0.223543	−	0.387188i
$306$	−6.61634	+	2.40815i	−0.378231	+	0.137665i
$307$	12.9941	+	10.9034i	0.741613	+	0.622287i	0.933270	−	0.359175i	$-0.116942\pi$
$307$	12.9941	+	10.9034i	0.741613	+	0.622287i	−0.191657	+	0.981462i	$0.561386\pi$
$308$	5.08378	+	2.45566i	0.289675	+	0.139924i
$309$	0.414638	−	0.150916i	0.0235879	−	0.00858531i
$310$	0.00852730	+	0.00310369i	0.000484318	+	0.000176277i
$311$		−	4.58579i		−	0.260036i	−0.991512	−	0.130018i	$-0.958496\pi$
$311$		−	4.58579i		−	0.260036i	0.991512	−	0.130018i	$-0.0415035\pi$
$312$	−2.81477	+	1.62511i	−0.159355	+	0.0920037i
$313$	−12.1458	−	14.4748i	−0.686522	−	0.818165i	0.304408	−	0.952542i	$-0.401541\pi$
$313$	−12.1458	−	14.4748i	−0.686522	−	0.818165i	−0.990930	+	0.134376i	$0.957097\pi$
$314$	1.75034	+	9.92666i	0.0987773	+	0.560194i
$315$	−0.370345	+	3.65722i	−0.0208666	+	0.206061i
$316$	8.89666	−	5.13649i	0.500476	−	0.288950i
$317$	−0.536131	+	1.47301i	−0.0301121	+	0.0827324i	−0.953838	−	0.300322i	$-0.902906\pi$
$317$	−0.536131	+	1.47301i	−0.0301121	+	0.0827324i	0.923726	+	0.383055i	$0.125128\pi$
$318$	−0.652689	+	3.70158i	−0.0366010	+	0.207574i
$319$	−12.1758	−	14.5106i	−0.681714	−	0.812436i
$320$	−1.36826	−	0.241262i	−0.0764882	−	0.0134869i
$321$	12.1927	+	2.14991i	0.680533	+	0.119996i
$322$	7.76593	−	3.49303i	0.432778	−	0.194659i
$323$	27.0925	−	14.4196i	1.50747	−	0.802325i
$324$	0.500000	+	0.866025i	0.0277778	+	0.0481125i
$325$	−7.64286	−	6.41312i	−0.423949	−	0.355736i
$326$	7.18849	+	19.7502i	0.398133	+	1.09386i
$327$	−9.98108	+	1.75993i	−0.551955	+	0.0973245i
$328$	2.39637	+	6.58398i	0.132317	+	0.363539i
$329$	−18.6893	−	27.4821i	−1.03037	−	1.51514i
$330$	−1.48240	−	2.56759i	−0.0816033	−	0.141341i
$331$		−	10.4778i		−	0.575914i	−0.957643	−	0.287957i	$-0.907024\pi$
$331$		−	10.4778i		−	0.575914i	0.957643	−	0.287957i	$-0.0929760\pi$
$332$	1.18257	−	3.24909i	0.0649021	−	0.178317i
$333$	0.108146	−	0.297128i	0.00592634	−	0.0162825i
$334$		−	2.73177i		−	0.149476i
$335$	−5.01142	−	8.68004i	−0.273803	−	0.474241i
$336$	−0.194586	−	2.63859i	−0.0106155	−	0.143947i
$337$	−5.75163	−	15.8025i	−0.313311	−	0.860816i	−0.991983	−	0.126374i	$-0.959666\pi$
$337$	−5.75163	−	15.8025i	−0.313311	−	0.860816i	0.678671	−	0.734442i	$-0.262556\pi$
$338$	2.39907	−	0.423020i	0.130492	−	0.0230093i
$339$	6.34346	+	17.4285i	0.344529	+	0.946587i
$340$	−7.49383	−	6.28807i	−0.406410	−	0.341018i
$341$	−0.00696875	−	0.0120702i	−0.000377379	−	0.000653640i
$342$	−2.68501	−	3.43376i	−0.145189	−	0.185677i
$343$	17.6779	+	5.52192i	0.954517	+	0.298156i
$344$	11.0838	+	1.95438i	0.597600	+	0.105373i
$345$	−4.40374	−	0.776499i	−0.237090	−	0.0418053i
$346$	14.3049	+	17.0479i	0.769037	+	0.916503i
$347$	4.04124	−	22.9190i	0.216945	−	1.23036i	−0.660553	−	0.750779i	$-0.729678\pi$
$347$	4.04124	−	22.9190i	0.216945	−	1.23036i	0.877499	−	0.479579i	$-0.159211\pi$
$348$	−3.03602	+	8.34141i	−0.162748	+	0.447146i
$349$	8.43442	−	4.86962i	0.451484	−	0.260665i	−0.256973	−	0.966419i	$-0.582725\pi$
$349$	8.43442	−	4.86962i	0.451484	−	0.260665i	0.708457	+	0.705754i	$0.249392\pi$
$350$	7.40679	−	3.33149i	0.395909	−	0.178076i
$351$	0.564395	+	3.20084i	0.0301252	+	0.170848i
$352$	1.37165	+	1.63467i	0.0731094	+	0.0871284i
$353$	−6.49066	+	3.74738i	−0.345463	+	0.199453i	−0.662685	−	0.748898i	$-0.730583\pi$
$353$	−6.49066	+	3.74738i	−0.345463	+	0.199453i	0.317222	+	0.948351i	$0.397250\pi$
$354$			0.842298i			0.0447676i
$355$	15.8227	+	5.75900i	0.839783	+	0.305656i
$356$	8.46071	−	3.07945i	0.448417	−	0.163210i
$357$	8.10258	−	16.7742i	0.428834	−	0.887786i
$358$	1.93289	+	1.62189i	0.102157	+	0.0857195i
$359$	7.17957	−	2.61315i	0.378923	−	0.137917i	−0.145535	−	0.989353i	$-0.546490\pi$
$359$	7.17957	−	2.61315i	0.378923	−	0.137917i	0.524458	+	0.851436i	$0.324268\pi$
$360$	−0.694685	+	1.20323i	−0.0366131	+	0.0634158i
$361$	13.6782	+	13.1873i	0.719907	+	0.694070i
$362$	20.6357	−	11.9140i	1.08459	−	0.626187i
$363$	1.11941	−	6.34848i	0.0587537	−	0.333209i
$364$	2.33885	−	8.27510i	0.122589	−	0.433733i
$365$	−17.8501	−	6.49690i	−0.934316	−	0.340063i
$366$	4.30505	+	3.61236i	0.225028	+	0.188821i
$367$	9.95902	−	1.75604i	0.519857	−	0.0916648i	0.0924378	−	0.995718i	$-0.470534\pi$
$367$	9.95902	−	1.75604i	0.519857	−	0.0916648i	0.427419	+	0.904054i	$0.359423\pi$
$368$	3.21849			0.167776
$369$	7.00652			0.364745
$370$	0.432640	−	0.0762861i	0.0224919	−	0.00396592i
$371$	−5.59220	−	8.22321i	−0.290333	−	0.426928i
$372$	−0.00326571	+	0.00565638i	−0.000169319	+	0.000293270i
$373$	2.28074	+	1.31679i	0.118092	+	0.0681806i	0.557883	−	0.829920i	$-0.311614\pi$
$373$	2.28074	+	1.31679i	0.118092	+	0.0681806i	−0.439790	+	0.898100i	$0.644947\pi$
$374$	2.60903	+	14.7965i	0.134910	+	0.765111i
$375$	−11.0414	−	1.94690i	−0.570175	−	0.100537i
$376$	−2.18130	−	12.3708i	−0.112492	−	0.637973i
$377$	−18.5453	+	22.1014i	−0.955131	+	1.13828i
$378$	−2.54601	−	0.719599i	−0.130953	−	0.0370122i
$379$		−	20.2689i		−	1.04114i	−0.853818	−	0.520572i	$-0.825719\pi$
$379$		−	20.2689i		−	1.04114i	0.853818	−	0.520572i	$-0.174281\pi$
$380$	2.26637	−	5.61606i	0.116262	−	0.288098i
$381$	11.5690	+	6.67934i	0.592695	+	0.342193i
$382$	3.15329	−	3.75795i	0.161336	−	0.192273i
$383$	4.60186	−	26.0985i	0.235144	−	1.33357i	−0.607165	−	0.794575i	$-0.707693\pi$
$383$	4.60186	−	26.0985i	0.235144	−	1.33357i	0.842310	−	0.538994i	$-0.181195\pi$
$384$	0.342020	−	0.939693i	0.0174536	−	0.0479535i
$385$	7.54840	+	2.13346i	0.384702	+	0.108731i
$386$	−16.4839	+	13.8316i	−0.839009	+	0.704012i
$387$	5.62741	−	9.74696i	0.286057	−	0.495466i
$388$	6.03198	+	10.4477i	0.306227	+	0.530401i
$389$	7.52296	+	2.73813i	0.381429	+	0.138829i	0.525617	−	0.850722i	$-0.323835\pi$
$389$	7.52296	+	2.73813i	0.381429	+	0.138829i	−0.144187	+	0.989550i	$0.546057\pi$
$390$	−3.45927	+	2.90267i	−0.175167	+	0.146982i
$391$	19.6253	+	11.3306i	0.992492	+	0.573016i
$392$	5.23746	+	4.64425i	0.264532	+	0.234570i
$393$	3.48043	+	4.14781i	0.175564	+	0.209229i
$394$	−3.77109	+	4.49421i	−0.189985	+	0.226415i
$395$	10.9337	−	9.17449i	0.550135	−	0.461618i
$396$	2.00522	−	0.729842i	0.100766	−	0.0366759i
$397$	−9.50330	−	26.1101i	−0.476957	−	1.31043i	−0.912063	−	0.410050i	$-0.865511\pi$
$397$	−9.50330	−	26.1101i	−0.476957	−	1.31043i	0.435106	−	0.900379i	$-0.356711\pi$
$398$	−21.1258			−1.05894
$399$	11.4270	+	1.55695i	0.572065	+	0.0779448i
$400$	3.06965			0.153483
$401$	8.91153	+	24.4842i	0.445020	+	1.22268i	0.936151	+	0.351598i	$0.114362\pi$
$401$	8.91153	+	24.4842i	0.445020	+	1.22268i	−0.491131	+	0.871086i	$0.663416\pi$
$402$	6.77889	−	2.46732i	0.338101	−	0.123059i
$403$	−0.0162620	+	0.0136455i	−0.000810069	+	0.000679729i
$404$	7.67775	−	9.14999i	0.381982	−	0.455229i
$405$	0.893070	+	1.06432i	0.0443770	+	0.0528864i
$406$	−9.63393	−	21.4187i	−0.478124	−	1.06299i
$407$	−0.584339	−	0.337368i	−0.0289646	−	0.0167227i
$408$	5.39369	−	4.52584i	0.267027	−	0.224063i
$409$	−13.1771	−	4.79607i	−0.651565	−	0.237150i	−0.00497445	−	0.999988i	$-0.501583\pi$
$409$	−13.1771	−	4.79607i	−0.651565	−	0.237150i	−0.646590	+	0.762837i	$0.723806\pi$
$410$	4.86732	+	8.43045i	0.240380	+	0.416350i
$411$	8.53133	−	14.7767i	0.420820	−	0.728881i
$412$	−0.338016	+	0.283629i	−0.0166529	+	0.0139734i
$413$	−1.55413	−	1.59716i	−0.0764739	−	0.0785912i
$414$	1.10079	−	3.02440i	0.0541009	−	0.148641i
$415$	0.834189	−	4.73092i	0.0409487	−	0.232232i
$416$	2.08920	−	2.48981i	0.102431	−	0.122073i
$417$	2.72111	+	1.57103i	0.133253	+	0.0769338i
$418$	−8.21097	+	4.37015i	−0.401611	+	0.213751i
$419$			7.11394i			0.347539i	0.984786	+	0.173769i	$0.0555947\pi$
$419$			7.11394i			0.347539i	−0.984786	+	0.173769i	$0.944405\pi$
$420$	−0.902834	−	3.56333i	−0.0440538	−	0.173873i
$421$	8.07067	−	9.61824i	0.393340	−	0.468765i	−0.532637	−	0.846344i	$-0.678799\pi$
$421$	8.07067	−	9.61824i	0.393340	−	0.468765i	0.925977	+	0.377579i	$0.123243\pi$
$422$	0.808707	+	4.58640i	0.0393672	+	0.223263i
$423$	−12.3708	−	2.18130i	−0.601487	−	0.106058i
$424$	−0.652689	−	3.70158i	−0.0316974	−	0.179765i
$425$	18.7177	+	10.8067i	0.907940	+	0.524200i
$426$	−6.05965	+	10.4956i	−0.293591	+	0.508515i
$427$	−14.8284	+	1.09354i	−0.717598	+	0.0529201i
$428$	−12.1927	+	2.14991i	−0.589359	+	0.103920i
$429$	6.93569			0.334858
$430$	15.6371			0.754088
$431$	−15.2254	+	2.68465i	−0.733382	+	0.129315i	−0.527853	−	0.849336i	$-0.677003\pi$
$431$	−15.2254	+	2.68465i	−0.733382	+	0.129315i	−0.205530	+	0.978651i	$0.565892\pi$
$432$	−0.766044	−	0.642788i	−0.0368563	−	0.0309261i
$433$	−11.9030	−	4.33235i	−0.572023	−	0.208199i	0.0397813	−	0.999208i	$-0.487334\pi$
$433$	−11.9030	−	4.33235i	−0.572023	−	0.208199i	−0.611805	+	0.791009i	$0.709556\pi$
$434$	−0.00424422	−	0.0167512i	−0.000203729	−	0.000804084i
$435$	−2.14162	+	12.1457i	−0.102683	+	0.582342i
$436$	8.77721	−	5.06753i	0.420352	−	0.242690i
$437$	−2.91120	+	13.7237i	−0.139262	+	0.656494i
$438$	6.83607	−	11.8404i	0.326640	−	0.565758i
$439$	4.01432	−	1.46109i	0.191593	−	0.0697341i	−0.244442	−	0.969664i	$-0.578605\pi$
$439$	4.01432	−	1.46109i	0.191593	−	0.0697341i	0.436035	+	0.899930i	$0.356382\pi$
$440$	2.27116	+	1.90573i	0.108274	+	0.0908523i
$441$	6.15548	−	3.33318i	0.293118	−	0.158723i
$442$	21.5046	−	7.82702i	1.02287	−	0.372293i
$443$	−21.6344	−	7.87429i	−1.02788	−	0.374119i	−0.227609	−	0.973753i	$-0.573091\pi$
$443$	−21.6344	−	7.87429i	−1.02788	−	0.374119i	−0.800275	+	0.599634i	$0.795313\pi$
$444$			0.316197i			0.0150060i
$445$	10.8335	−	6.25473i	0.513558	−	0.296503i
$446$	4.59441	+	5.47541i	0.217552	+	0.259268i
$447$	−1.02281	−	5.80067i	−0.0483774	−	0.274362i
$448$	1.08530	+	2.41291i	0.0512756	+	0.113999i
$449$	−25.3555	+	14.6390i	−1.19660	+	0.690858i	−0.959796	−	0.280699i	$-0.909434\pi$
$449$	−25.3555	+	14.6390i	−1.19660	+	0.690858i	−0.236805	+	0.971557i	$0.576100\pi$
$450$	1.04988	−	2.88453i	0.0494920	−	0.135978i
$451$	2.59627	−	14.7242i	0.122253	−	0.693334i
$452$	−11.9218	−	14.2079i	−0.560755	−	0.668281i
$453$	5.87041	+	1.03511i	0.275816	+	0.0486338i
$454$	16.2439	+	2.86423i	0.762362	+	0.134425i
$455$	1.20370	−	11.8868i	0.0564304	−	0.557261i
$456$	3.69750	+	2.30835i	0.173151	+	0.108099i
$457$	−13.4806	−	23.3491i	−0.630595	−	1.09222i	−0.987430	−	0.158055i	$-0.949478\pi$
$457$	−13.4806	−	23.3491i	−0.630595	−	1.09222i	0.356835	−	0.934167i	$-0.383856\pi$
$458$	15.8475	+	13.2976i	0.740504	+	0.621357i
$459$	−2.40815	−	6.61634i	−0.112403	−	0.308824i
$460$	4.40374	−	0.776499i	0.205326	−	0.0362044i
$461$	−12.1995	−	33.5178i	−0.568187	−	1.56108i	−0.807332	−	0.590097i	$-0.799089\pi$
$461$	−12.1995	−	33.5178i	−0.568187	−	1.56108i	0.239145	−	0.970984i	$-0.423133\pi$
$462$	−2.45566	+	5.08378i	−0.114248	+	0.236519i
$463$	2.07326	+	3.59099i	0.0963524	+	0.166887i	0.910172	−	0.414230i	$-0.135949\pi$
$463$	2.07326	+	3.59099i	0.0963524	+	0.166887i	−0.813820	+	0.581117i	$0.802616\pi$
$464$		−	8.87674i		−	0.412092i
$465$	−0.00310369	+	0.00852730i	−0.000143930	+	0.000395444i
$466$	−6.32588	+	17.3802i	−0.293041	+	0.805123i
$467$			28.7439i			1.33011i	0.746795	+	0.665054i	$0.231591\pi$
$467$			28.7439i			1.33011i	−0.746795	+	0.665054i	$0.768409\pi$
$468$	−1.62511	−	2.81477i	−0.0751207	−	0.130113i
$469$	−8.30165	+	17.1863i	−0.383334	+	0.793591i
$470$	−5.96918	−	16.4002i	−0.275338	−	0.756484i
$471$	−9.92666	+	1.75034i	−0.457396	+	0.0806513i
$472$	−0.288083	−	0.791501i	−0.0132601	−	0.0364318i
$473$	−18.3979	−	15.4377i	−0.845938	−	0.709827i
$474$	5.13649	+	8.89666i	0.235927	+	0.408637i
$475$	−2.77657	+	13.0890i	−0.127398	+	0.600567i
$476$	−1.87681	+	18.5339i	−0.0860235	+	0.849498i
$477$	−3.70158	−	0.652689i	−0.169484	−	0.0298846i
$478$	−7.33041	−	1.29255i	−0.335285	−	0.0591198i
$479$	9.26011	+	11.0358i	0.423105	+	0.504237i	0.934920	−	0.354859i	$-0.115471\pi$
$479$	9.26011	+	11.0358i	0.423105	+	0.504237i	−0.511815	+	0.859096i	$0.671027\pi$
$480$	0.241262	−	1.36826i	0.0110120	−	0.0624523i
$481$	−0.351497	+	0.965730i	−0.0160269	+	0.0440335i
$482$	20.4456	−	11.8043i	0.931270	−	0.537669i
$483$	3.49303	+	7.76593i	0.158939	+	0.353362i
$484$	1.11941	+	6.34848i	0.0508822	+	0.288567i
$485$	10.7740	+	12.8399i	0.489220	+	0.583030i
$486$	−0.866025	+	0.500000i	−0.0392837	+	0.0226805i
$487$		−	25.9825i		−	1.17738i	−0.808360	−	0.588689i	$-0.799644\pi$
$487$		−	25.9825i		−	1.17738i	0.808360	−	0.588689i	$-0.200356\pi$
$488$	−5.28092	−	1.92210i	−0.239056	−	0.0870093i
$489$	−19.7502	+	7.18849i	−0.893135	+	0.325075i
$490$	8.28669	+	5.09095i	0.374355	+	0.229986i
$491$	18.0457	+	15.1421i	0.814391	+	0.683355i	0.951652	−	0.307180i	$-0.0993853\pi$
$491$	18.0457	+	15.1421i	0.814391	+	0.683355i	−0.137260	+	0.990535i	$0.543830\pi$
$492$	−6.58398	+	2.39637i	−0.296829	+	0.108037i
$493$	31.2504	−	54.1273i	1.40745	−	2.43777i
$494$	8.72687	+	11.1605i	0.392640	+	0.502134i
$495$	2.56759	−	1.48240i	0.115404	−	0.0666288i
$496$	0.00113417	−	0.00643220i	5.09258e−5	−	0.000288814i
$497$	−7.87531	−	31.0825i	−0.353256	−	1.39424i
$498$	3.24909	+	1.18257i	0.145595	+	0.0529924i
$499$	−2.78135	−	2.33383i	−0.124511	−	0.104477i	0.578406	−	0.815749i	$-0.303675\pi$
$499$	−2.78135	−	2.33383i	−0.124511	−	0.104477i	−0.702917	+	0.711272i	$0.748119\pi$
$500$	11.0414	−	1.94690i	0.493786	−	0.0870679i
$501$	2.73177			0.122047
$502$	2.08934			0.0932518
$503$	9.85595	−	1.73787i	0.439455	−	0.0774878i	0.0504567	−	0.998726i	$-0.483932\pi$
$503$	9.85595	−	1.73787i	0.439455	−	0.0774878i	0.388998	+	0.921238i	$0.372821\pi$
$504$	2.63859	−	0.194586i	0.117532	−	0.00866754i
$505$	8.29764	−	14.3719i	0.369240	−	0.639542i
$506$	−5.94785	−	3.43399i	−0.264414	−	0.152660i
$507$	0.423020	+	2.39907i	0.0187870	+	0.106546i
$508$	−13.1557	−	2.31971i	−0.583691	−	0.102920i
$509$	−2.14063	−	12.1401i	−0.0948817	−	0.538101i	−0.994784	−	0.102008i	$-0.967473\pi$
$509$	−2.14063	−	12.1401i	−0.0948817	−	0.538101i	0.899902	−	0.436092i	$-0.143638\pi$
$510$	6.28807	−	7.49383i	0.278440	−	0.331832i
$511$	8.88437	+	35.0651i	0.393021	+	1.55119i
$512$			1.00000i			0.0441942i
$513$	3.43376	−	2.68501i	0.151604	−	0.118546i
$514$	11.4256	+	6.59660i	0.503964	+	0.290963i
$515$	−0.394066	+	0.469629i	−0.0173646	+	0.0206943i
$516$	−1.95438	+	11.0838i	−0.0860367	+	0.487938i
$517$	−9.16798	+	25.1888i	−0.403207	+	1.10780i
$518$	−0.583418	−	0.599571i	−0.0256339	−	0.0263436i
$519$	−17.0479	+	14.3049i	−0.748321	+	0.627916i
$520$	2.25788	−	3.91076i	0.0990145	−	0.171498i
$521$	−7.14086	−	12.3683i	−0.312847	−	0.541867i	0.666131	−	0.745835i	$-0.267949\pi$
$521$	−7.14086	−	12.3683i	−0.312847	−	0.541867i	−0.978977	+	0.203968i	$0.934616\pi$
$522$	−8.34141	−	3.03602i	−0.365093	−	0.132883i
$523$	−24.6109	+	20.6510i	−1.07616	+	0.903007i	−0.995596	−	0.0937426i	$-0.970117\pi$
$523$	−24.6109	+	20.6510i	−1.07616	+	0.903007i	−0.0805650	+	0.996749i	$0.525672\pi$
$524$	−4.68917	−	2.70729i	−0.204847	−	0.118269i
$525$	3.33149	+	7.40679i	0.145398	+	0.323259i
$526$	−5.01673	−	5.97870i	−0.218740	−	0.260684i
$527$	0.0295602	−	0.0352285i	0.00128766	−	0.00153458i
$528$	−1.63467	+	1.37165i	−0.0711400	+	0.0596936i
$529$	11.8789	−	4.32358i	0.516475	−	0.187982i
$530$	−1.78610	−	4.90726i	−0.0775831	−	0.213158i
$531$	−0.842298			−0.0365526
$532$	−11.2704	+	2.44521i	−0.488632	+	0.106013i
$533$	−22.7727			−0.986396
$534$	3.07945	+	8.46071i	0.133261	+	0.366131i
$535$	−16.1642	+	5.88328i	−0.698839	+	0.254356i
$536$	−5.52621	+	4.63704i	−0.238696	+	0.200289i
$537$	−1.62189	+	1.93289i	−0.0699897	+	0.0834105i
$538$	14.7991	+	17.6369i	0.638034	+	0.760379i
$539$	−4.72374	−	14.1708i	−0.203466	−	0.610380i
$540$	−1.20323	−	0.694685i	−0.0517787	−	0.0298945i
$541$	29.9625	−	25.1415i	1.28819	−	1.08092i	0.296128	−	0.955148i	$-0.404305\pi$
$541$	29.9625	−	25.1415i	1.28819	−	1.08092i	0.992060	−	0.125769i	$-0.0401399\pi$
$542$	−19.0696	−	6.94078i	−0.819111	−	0.298132i
$543$	11.9140	+	20.6357i	0.511280	+	0.885562i
$544$	−3.52048	+	6.09765i	−0.150939	+	0.261435i
$545$	10.7869	−	9.05131i	0.462061	−	0.387715i
$546$	8.27510	+	2.33885i	0.354141	+	0.100094i
$547$	8.16374	−	22.4297i	0.349056	−	0.959024i	−0.633612	−	0.773651i	$-0.718428\pi$
$547$	8.16374	−	22.4297i	0.349056	−	0.959024i	0.982668	−	0.185373i	$-0.0593494\pi$
$548$	−2.96290	+	16.8034i	−0.126569	+	0.717808i
$549$	−3.61236	+	4.30505i	−0.154172	+	0.183735i
$550$	−5.67279	−	3.27519i	−0.241889	−	0.139654i
$551$	37.8506	+	8.02922i	1.61249	+	0.342056i
$552$			3.21849i			0.136988i
$553$	−26.1551	−	7.39242i	−1.11223	−	0.314358i
$554$	7.99758	−	9.53115i	0.339785	−	0.404940i
$555$	0.0762861	+	0.432640i	0.00323816	+	0.0183645i
$556$	−3.09433	−	0.545614i	−0.131229	−	0.0231392i
$557$	6.65037	+	37.7161i	0.281785	+	1.59808i	0.716548	+	0.697538i	$0.245721\pi$
$557$	6.65037	+	37.7161i	0.281785	+	1.59808i	−0.434763	+	0.900545i	$0.643168\pi$
$558$	−0.00565638	−	0.00326571i	−0.000239454	−	0.000138249i
$559$	−18.2903	+	31.6797i	−0.773598	+	1.33991i
$560$	2.06712	+	3.03965i	0.0873516	+	0.128449i
$561$	−14.7965	+	2.60903i	−0.624711	+	0.110153i
$562$	−7.44088			−0.313874
$563$	0.552563			0.0232878			0.0116439	−	0.999932i	$-0.496294\pi$
$563$	0.552563			0.0232878			0.0116439	+	0.999932i	$0.496294\pi$
$564$	12.3708	−	2.18130i	0.520903	−	0.0918493i
$565$	−19.7400	−	16.5638i	−0.830466	−	0.696844i
$566$	−0.442173	−	0.160938i	−0.0185859	−	0.00676472i
$567$	0.719599	−	2.54601i	0.0302203	−	0.106922i
$568$	2.10450	−	11.9352i	0.0883027	−	0.500789i
$569$	32.1001	−	18.5330i	1.34571	−	0.776944i	0.358069	−	0.933695i	$-0.383435\pi$
$569$	32.1001	−	18.5330i	1.34571	−	0.776944i	0.987638	+	0.156751i	$0.0501020\pi$
$570$	5.61606	+	2.26637i	0.235231	+	0.0949277i
$571$	21.8390	−	37.8263i	0.913935	−	1.58298i	0.105483	−	0.994421i	$-0.466361\pi$
$571$	21.8390	−	37.8263i	0.913935	−	1.58298i	0.808453	−	0.588561i	$-0.200305\pi$
$572$	−6.51741	+	2.37214i	−0.272507	+	0.0991844i
$573$	3.75795	+	3.15329i	0.156991	+	0.131731i
$574$	8.06294	−	16.6922i	0.336541	−	0.696717i
$575$	−9.28384	+	3.37904i	−0.387163	+	0.140916i
$576$	0.939693	+	0.342020i	0.0391539	+	0.0142508i
$577$			23.8652i			0.993521i	0.867888	+	0.496761i	$0.165477\pi$
$577$			23.8652i			0.993521i	−0.867888	+	0.496761i	$0.834523\pi$
$578$	−28.2109	+	16.2876i	−1.17342	+	0.677474i
$579$	−13.8316	−	16.4839i	−0.574823	−	0.685048i
$580$	−2.14162	−	12.1457i	−0.0889257	−	0.504323i
$581$	−8.34290	+	3.75255i	−0.346122	+	0.155682i
$582$	−10.4477	+	6.03198i	−0.433071	+	0.250034i
$583$	−2.74324	+	7.53700i	−0.113614	+	0.312151i
$584$	−2.37414	+	13.4644i	−0.0982428	+	0.557162i
$585$	−2.90267	−	3.45927i	−0.120011	−	0.143023i
$586$	28.3135	+	4.99243i	1.16962	+	0.206235i
$587$	−17.4449	−	3.07601i	−0.720029	−	0.126960i	−0.198385	−	0.980124i	$-0.563570\pi$
$587$	−17.4449	−	3.07601i	−0.720029	−	0.126960i	−0.521643	+	0.853164i	$0.674681\pi$
$588$	−4.64425	+	5.23746i	−0.191525	+	0.215989i
$589$	0.0264011	+	0.0106542i	0.00108784	+	0.000438999i
$590$	−0.585131	−	1.01348i	−0.0240895	−	0.0417242i
$591$	−4.49421	−	3.77109i	−0.184867	−	0.155122i
$592$	−0.108146	−	0.297128i	−0.00444476	−	0.0122119i
$593$	−6.46442	+	1.13985i	−0.265462	+	0.0468081i	−0.304795	−	0.952418i	$-0.598588\pi$
$593$	−6.46442	+	1.13985i	−0.265462	+	0.0468081i	0.0393327	+	0.999226i	$0.487477\pi$
$594$	0.729842	+	2.00522i	0.0299458	+	0.0822753i
$595$	1.90353	+	25.8120i	0.0780373	+	1.05819i
$596$	2.94507	+	5.10102i	0.120635	+	0.208946i
$597$		−	21.1258i		−	0.864622i
$598$	−3.57781	+	9.82995i	−0.146307	+	0.401976i
$599$	4.54685	−	12.4924i	0.185779	−	0.510424i	−0.811483	−	0.584377i	$-0.801339\pi$
$599$	4.54685	−	12.4924i	0.185779	−	0.510424i	0.997262	+	0.0739524i	$0.0235613\pi$
$600$			3.06965i			0.125318i
$601$	19.0371	+	32.9732i	0.776539	+	1.34500i	0.933926	+	0.357468i	$0.116360\pi$
$601$	19.0371	+	32.9732i	0.776539	+	1.34500i	−0.157387	+	0.987537i	$0.550307\pi$
$602$	−16.7450	−	24.6232i	−0.682476	−	1.00357i
$603$	2.46732	+	6.77889i	0.100477	+	0.276058i
$604$	−5.87041	+	1.03511i	−0.238864	+	0.0421181i
$605$	3.06329	+	8.41631i	0.124540	+	0.342172i
$606$	9.14999	+	7.67775i	0.371693	+	0.311887i
$607$	4.89900	+	8.48532i	0.198844	+	0.344408i	0.948154	−	0.317811i	$-0.102948\pi$
$607$	4.89900	+	8.48532i	0.198844	+	0.344408i	−0.749310	+	0.662220i	$0.769615\pi$
$608$	−4.26402	−	0.904524i	−0.172929	−	0.0366833i
$609$	21.4187	−	9.63393i	0.867931	−	0.390386i
$610$	−7.68941	−	1.35585i	−0.311335	−	0.0548968i
$611$	40.2077	+	7.08970i	1.62663	+	0.286819i
$612$	4.52584	+	5.39369i	0.182946	+	0.218027i
$613$	−4.21094	+	23.8814i	−0.170078	+	0.964561i	0.773594	+	0.633681i	$0.218457\pi$
$613$	−4.21094	+	23.8814i	−0.170078	+	0.964561i	−0.943673	+	0.330880i	$0.892654\pi$
$614$	5.80155	−	15.9396i	0.234132	−	0.643271i
$615$	−8.43045	+	4.86732i	−0.339949	+	0.196269i
$616$	0.568808	−	5.61708i	0.0229179	−	0.226319i
$617$	0.706199	+	4.00505i	0.0284305	+	0.161237i	0.995718	−	0.0924467i	$-0.0294688\pi$
$617$	0.706199	+	4.00505i	0.0284305	+	0.161237i	−0.967287	+	0.253684i	$0.918358\pi$
$618$	−0.283629	−	0.338016i	−0.0114092	−	0.0135970i
$619$	0.987781	−	0.570296i	0.0397023	−	0.0229221i	−0.480017	−	0.877259i	$-0.659370\pi$
$619$	0.987781	−	0.570296i	0.0397023	−	0.0229221i	0.519720	+	0.854337i	$0.326036\pi$
$620$		−	0.00907457i		−	0.000364443i
$621$	3.02440	+	1.10079i	0.121365	+	0.0441732i
$622$	−4.30923	+	1.56843i	−0.172784	+	0.0628884i
$623$	−21.4502	−	10.3612i	−0.859384	−	0.415115i
$624$	2.48981	+	2.08920i	0.0996723	+	0.0836350i
$625$	0.215167	−	0.0783144i	0.00860668	−	0.00313257i
$626$	−9.44777	+	16.3640i	−0.377609	+	0.654038i
$627$	−4.37015	−	8.21097i	−0.174527	−	0.327914i
$628$	8.72936	−	5.03990i	0.348339	−	0.201114i
$629$	0.386598	−	2.19251i	0.0154147	−	0.0874209i
$630$	3.56333	−	0.902834i	0.141967	−	0.0359697i
$631$	29.1116	+	10.5958i	1.15891	+	0.421811i	0.848710	−	0.528859i	$-0.177380\pi$
$631$	29.1116	+	10.5958i	1.15891	+	0.421811i	0.310205	+	0.950670i	$0.399602\pi$
$632$	−7.86956	−	6.60334i	−0.313034	−	0.262667i
$633$	−4.58640	+	0.808707i	−0.182293	+	0.0321432i
$634$	1.56754			0.0622551
$635$	−18.5601			−0.736537
$636$	3.70158	−	0.652689i	0.146777	−	0.0258808i
$637$	−20.0067	+	10.8336i	−0.792693	+	0.429241i
$638$	−9.47110	+	16.4044i	−0.374964	+	0.649457i
$639$	−10.4956	−	6.05965i	−0.415201	−	0.239716i
$640$	0.241262	+	1.36826i	0.00953670	+	0.0540853i
$641$	11.9447	+	2.10618i	0.471788	+	0.0831890i	0.404487	−	0.914544i	$-0.367450\pi$
$641$	11.9447	+	2.10618i	0.471788	+	0.0831890i	0.0673013	+	0.997733i	$0.478561\pi$
$642$	−2.14991	−	12.1927i	−0.0848502	−	0.481209i
$643$	5.35099	−	6.37706i	0.211023	−	0.251487i	−0.650143	−	0.759812i	$-0.725291\pi$
$643$	5.35099	−	6.37706i	0.211023	−	0.251487i	0.861165	+	0.508325i	$0.169735\pi$
$644$	−5.93848	−	6.10290i	−0.234009	−	0.240488i
$645$			15.6371i			0.615710i
$646$	−22.8161	−	20.5269i	−0.897689	−	0.807619i
$647$	−13.7354	−	7.93015i	−0.539995	−	0.311766i	0.205082	−	0.978745i	$-0.434254\pi$
$647$	−13.7354	−	7.93015i	−0.539995	−	0.311766i	−0.745077	+	0.666978i	$0.767587\pi$
$648$	0.642788	−	0.766044i	0.0252511	−	0.0300931i
$649$	−0.312114	+	1.77008i	−0.0122515	+	0.0694819i
$650$	−3.41235	+	9.37535i	−0.133843	+	0.367732i
$651$	0.0167512	−	0.00424422i	0.000656532	−	0.000166344i
$652$	16.1005	−	13.5099i	0.630545	−	0.529090i
$653$	−18.0585	+	31.2782i	−0.706683	+	1.22401i	0.259397	+	0.965771i	$0.416476\pi$
$653$	−18.0585	+	31.2782i	−0.706683	+	1.22401i	−0.966081	+	0.258241i	$0.916857\pi$
$654$	5.06753	+	8.77721i	0.198156	+	0.343216i
$655$	−7.06918	−	2.57297i	−0.276216	−	0.100534i
$656$	5.36731	−	4.50370i	0.209558	−	0.175840i
$657$	11.8404	+	6.83607i	0.461939	+	0.266701i
$658$	−19.4327	+	26.9616i	−0.757564	+	1.05107i
$659$	0.651563	+	0.776503i	0.0253813	+	0.0302483i	0.778586	−	0.627538i	$-0.215937\pi$
$659$	0.651563	+	0.776503i	0.0253813	+	0.0302483i	−0.753204	+	0.657786i	$0.771493\pi$
$660$	−1.90573	+	2.27116i	−0.0741806	+	0.0884050i
$661$	−23.9456	+	20.0928i	−0.931377	+	0.781518i	−0.976064	−	0.217483i	$-0.930215\pi$
$661$	−23.9456	+	20.0928i	−0.931377	+	0.781518i	0.0446869	+	0.999001i	$0.485771\pi$
$662$	−9.84595	+	3.58363i	−0.382674	+	0.139282i
$663$	7.82702	+	21.5046i	0.303976	+	0.835168i
$664$	−3.45761			−0.134181
$665$	−14.8309	+	6.06479i	−0.575116	+	0.235182i
$666$	−0.316197			−0.0122524
$667$	9.77142	+	26.8468i	0.378351	+	1.03951i
$668$	−2.56703	+	0.934321i	−0.0993212	+	0.0361500i
$669$	−5.47541	+	4.59441i	−0.211692	+	0.177630i
$670$	−6.44256	+	7.67794i	−0.248898	+	0.296625i
$671$	7.70847	+	9.18660i	0.297582	+	0.354645i
$672$	−2.41291	+	1.08530i	−0.0930799	+	0.0418664i
$673$	−13.3083	−	7.68353i	−0.512996	−	0.296178i	0.221068	−	0.975258i	$-0.429046\pi$
$673$	−13.3083	−	7.68353i	−0.512996	−	0.296178i	−0.734064	+	0.679080i	$0.762379\pi$
$674$	−12.8823	+	10.8095i	−0.496208	+	0.416368i
$675$	2.88453	+	1.04988i	0.111026	+	0.0404100i
$676$	−1.21804	−	2.10970i	−0.0468476	−	0.0811425i
$677$	−12.0753	+	20.9151i	−0.464093	+	0.803833i	−0.999160	−	0.0409766i	$-0.986953\pi$
$677$	−12.0753	+	20.9151i	−0.464093	+	0.803833i	0.535067	+	0.844810i	$0.320286\pi$
$678$	14.2079	−	11.9218i	0.545649	−	0.457854i
$679$	8.68121	−	30.7150i	0.333154	−	1.17873i
$680$	−3.34581	+	9.19254i	−0.128306	+	0.352518i
$681$	−2.86423	+	16.2439i	−0.109757	+	0.622466i
$682$	−0.00895886	+	0.0106767i	−0.000343052	+	0.000408834i
$683$	30.6765	+	17.7111i	1.17380	+	0.677695i	0.954573	−	0.297979i	$-0.0963124\pi$
$683$	30.6765	+	17.7111i	1.17380	+	0.677695i	0.219229	+	0.975673i	$0.429646\pi$
$684$	−2.30835	+	3.69750i	−0.0882621	+	0.141377i
$685$			23.7063i			0.905773i
$686$	−0.857292	−	18.5004i	−0.0327316	−	0.706349i
$687$	−13.2976	+	15.8475i	−0.507336	+	0.604619i
$688$	−1.95438	−	11.0838i	−0.0745100	−	0.422567i
$689$	12.0309	+	2.12138i	0.458343	+	0.0808182i
$690$	0.776499	+	4.40374i	0.0295608	+	0.167648i
$691$	29.7421	+	17.1716i	1.13144	+	0.653239i	0.944298	−	0.329093i	$-0.106743\pi$
$691$	29.7421	+	17.1716i	1.13144	+	0.653239i	0.187146	+	0.982332i	$0.440076\pi$
$692$	11.1273	−	19.2730i	0.422995	−	0.732648i
$693$	−5.08378	−	2.45566i	−0.193117	−	0.0932828i
$694$	−22.9190	+	4.04124i	−0.869995	+	0.153404i
$695$	−4.36549			−0.165593
$696$	8.87674			0.336472
$697$	48.5832	−	8.56652i	1.84022	−	0.324480i
$698$	−7.46068	−	6.26026i	−0.282391	−	0.236954i
$699$	−17.3802	−	6.32588i	−0.657380	−	0.239267i
$700$	−5.66385	−	5.82066i	−0.214073	−	0.220000i
$701$	−3.08651	+	17.5045i	−0.116576	+	0.661135i	0.869382	+	0.494141i	$0.164517\pi$
$701$	−3.08651	+	17.5045i	−0.116576	+	0.661135i	−0.985958	+	0.166994i	$0.946594\pi$
$702$	2.81477	−	1.62511i	0.106237	−	0.0613358i
$703$	1.36478	−	0.192376i	0.0514736	−	0.00725559i
$704$	1.06696	−	1.84802i	0.0402125	−	0.0696500i
$705$	16.4002	−	5.96918i	0.617667	−	0.224812i
$706$	5.74132	+	4.81754i	0.216078	+	0.181311i
$707$	−31.5165	+	2.32422i	−1.18530	+	0.0874114i
$708$	0.791501	−	0.288083i	0.0297464	−	0.0108268i
$709$	−1.29593	−	0.471681i	−0.0486698	−	0.0177144i	0.317571	−	0.948235i	$-0.397133\pi$
$709$	−1.29593	−	0.471681i	−0.0486698	−	0.0177144i	−0.366240	+	0.930520i	$0.619355\pi$
$710$		−	16.8382i		−	0.631926i
$711$	−8.89666	+	5.13649i	−0.333651	+	0.192633i
$712$	−5.78747	−	6.89723i	−0.216894	−	0.258485i
$713$	0.00365032	+	0.0207020i	0.000136706	+	0.000775296i
$714$	−18.5339	−	1.87681i	−0.693612	−	0.0702379i
$715$	−8.34522	+	4.81812i	−0.312094	+	0.180187i
$716$	0.862989	−	2.37104i	0.0322514	−	0.0886101i
$717$	1.29255	−	7.33041i	0.0482711	−	0.273759i
$718$	−4.91112	−	5.85284i	−0.183281	−	0.218426i
$719$	10.3927	+	1.83252i	0.387583	+	0.0683413i	0.364044	−	0.931382i	$-0.381396\pi$
$719$	10.3927	+	1.83252i	0.387583	+	0.0683413i	0.0235386	+	0.999723i	$0.492507\pi$
$720$	1.36826	+	0.241262i	0.0509921	+	0.00899129i
$721$	1.16149	+	0.117618i	0.0432563	+	0.00438031i
$722$	7.71381	−	17.3637i	0.287078	−	0.646209i
$723$	11.8043	+	20.4456i	0.439005	+	0.760379i
$724$	−18.2533	−	15.3164i	−0.678380	−	0.569229i
$725$	9.31953	+	25.6052i	0.346119	+	0.950954i
$726$	−6.34848	+	1.11941i	−0.235614	+	0.0415451i
$727$	−0.607895	−	1.67018i	−0.0225456	−	0.0619434i	0.927909	−	0.372806i	$-0.121604\pi$
$727$	−0.607895	−	1.67018i	−0.0225456	−	0.0619434i	−0.950455	+	0.310863i	$0.899382\pi$
$728$	−8.57598	+	0.632446i	−0.317847	+	0.0234400i
$729$	−0.500000	−	0.866025i	−0.0185185	−	0.0320750i
$730$			18.9957i			0.703061i
$731$	27.1033	−	74.4657i	1.00245	−	2.75421i
$732$	1.92210	−	5.28092i	0.0710428	−	0.195188i
$733$		−	28.1213i		−	1.03869i	−0.854566	−	0.519343i	$-0.826177\pi$
$733$		−	28.1213i		−	1.03869i	0.854566	−	0.519343i	$-0.173823\pi$
$734$	−5.05633	−	8.75782i	−0.186632	−	0.323257i
$735$	−5.09095	+	8.28669i	−0.187782	+	0.305659i
$736$	−1.10079	−	3.02440i	−0.0405757	−	0.111481i
$737$	15.1601	−	2.67313i	0.558429	−	0.0984660i
$738$	−2.39637	−	6.58398i	−0.0882116	−	0.242359i
$739$	−26.1233	−	21.9200i	−0.960960	−	0.806341i	0.0201491	−	0.999797i	$-0.493586\pi$
$739$	−26.1233	−	21.9200i	−0.960960	−	0.806341i	−0.981109	+	0.193456i	$0.938030\pi$
$740$	−0.219657	−	0.380457i	−0.00807475	−	0.0139859i
$741$	−11.1605	+	8.72687i	−0.409990	+	0.320590i
$742$	−5.81464	+	8.06746i	−0.213462	+	0.296166i
$743$	−33.9769	−	5.99105i	−1.24649	−	0.219790i	−0.488797	−	0.872398i	$-0.662564\pi$
$743$	−33.9769	−	5.99105i	−1.24649	−	0.219790i	−0.757696	+	0.652607i	$0.773675\pi$
$744$	0.00643220	+	0.00113417i	0.000235816	+	4.15807e-5i
$745$	5.26031	+	6.26900i	0.192723	+	0.229678i
$746$	0.457315	−	2.59356i	0.0167435	−	0.0949570i
$747$	−1.18257	+	3.24909i	−0.0432681	+	0.118878i
$748$	13.0119	−	7.51240i	0.475761	−	0.274681i
$749$	26.5736	+	19.1530i	0.970980	+	0.699836i
$750$	1.94690	+	11.0414i	0.0710906	+	0.403175i
$751$	−4.74433	−	5.65408i	−0.173123	−	0.206320i	0.672505	−	0.740093i	$-0.265218\pi$
$751$	−4.74433	−	5.65408i	−0.173123	−	0.206320i	−0.845628	+	0.533772i	$0.820774\pi$
$752$	−10.8787	+	6.28080i	−0.396704	+	0.229037i
$753$			2.08934i			0.0761398i
$754$	27.1114	+	9.86774i	0.987339	+	0.359362i
$755$	−7.78253	+	2.83261i	−0.283235	+	0.103089i
$756$	0.194586	+	2.63859i	0.00707702	+	0.0959644i
$757$	23.8389	+	20.0033i	0.866441	+	0.727031i	0.963346	−	0.268263i	$-0.0864496\pi$
$757$	23.8389	+	20.0033i	0.866441	+	0.727031i	−0.0969043	+	0.995294i	$0.530894\pi$
$758$	−19.0465	+	6.93237i	−0.691801	+	0.251795i
$759$	3.43399	−	5.94785i	0.124646	−	0.215893i
$760$	−6.05252	−	0.208882i	−0.219548	−	0.00757696i
$761$	0.0859845	−	0.0496432i	0.00311694	−	0.00179956i	−0.498441	−	0.866924i	$-0.666094\pi$
$761$	0.0859845	−	0.0496432i	0.00311694	−	0.00179956i	0.501558	+	0.865124i	$0.332761\pi$
$762$	2.31971	−	13.1557i	0.0840342	−	0.476582i
$763$	−25.8040	−	7.29317i	−0.934166	−	0.264031i
$764$	−4.60981	−	1.67783i	−0.166777	−	0.0607018i
$765$	7.49383	+	6.28807i	0.270940	+	0.227346i
$766$	−26.0985	+	4.60186i	−0.942976	+	0.166272i
$767$	2.73765			0.0988509
$768$	−1.00000			−0.0360844
$769$	−28.7514	+	5.06965i	−1.03680	+	0.182816i	−0.666044	−	0.745913i	$-0.732014\pi$
$769$	−28.7514	+	5.06965i	−1.03680	+	0.182816i	−0.370759	+	0.928729i	$0.620902\pi$
$770$	−0.576907	−	7.82287i	−0.0207903	−	0.281917i
$771$	−6.59660	+	11.4256i	−0.237571	+	0.411485i
$772$	18.6353	+	10.7591i	0.670700	+	0.387229i
$773$	7.49903	+	42.5291i	0.269722	+	1.52967i	0.755245	+	0.655443i	$0.227518\pi$
$773$	7.49903	+	42.5291i	0.269722	+	1.52967i	−0.485523	+	0.874224i	$0.661371\pi$
$774$	−11.0838	−	1.95438i	−0.398400	−	0.0702487i
$775$	0.00348151	+	0.0197446i	0.000125060	+	0.000709248i
$776$	7.75456	−	9.24153i	0.278372	−	0.331751i
$777$	0.599571	−	0.583418i	0.0215095	−	0.0209300i
$778$		−	8.00577i		−	0.287021i
$779$	14.3490	+	26.9600i	0.514107	+	0.965942i
$780$	3.91076	+	2.25788i	0.140028	+	0.0808450i
$781$	−16.6235	+	19.8111i	−0.594835	+	0.708897i
$782$	3.93509	−	22.3170i	0.140719	−	0.798055i
$783$	3.03602	−	8.34141i	0.108499	−	0.298097i
$784$	2.57285	−	6.51003i	0.0918874	−	0.232501i
$785$	10.7281	−	9.00196i	0.382903	−	0.321294i
$786$	2.70729	−	4.68917i	0.0965659	−	0.167257i
$787$	−8.29415	−	14.3659i	−0.295655	−	0.512089i	0.679482	−	0.733692i	$-0.262204\pi$
$787$	−8.29415	−	14.3659i	−0.295655	−	0.512089i	−0.975137	+	0.221603i	$0.928871\pi$
$788$	5.51297	+	2.00656i	0.196391	+	0.0714806i
$789$	5.97870	−	5.01673i	0.212848	−	0.178600i
$790$	−12.3608	−	7.13648i	−0.439776	−	0.253905i
$791$	−4.94383	+	48.8212i	−0.175782	+	1.73588i
$792$	−1.37165	−	1.63467i	−0.0487396	−	0.0580856i
$793$	11.7410	−	13.9923i	0.416934	−	0.496883i
$794$	−21.2852	+	17.8604i	−0.755382	+	0.633841i
$795$	4.90726	−	1.78610i	0.174043	−	0.0633464i
$796$	7.22545	+	19.8518i	0.256099	+	0.703627i
$797$	−31.9378			−1.13130			−0.565648	−	0.824647i	$-0.691374\pi$
$797$	−31.9378			−1.13130			−0.565648	+	0.824647i	$0.691374\pi$
$798$	−2.44521	−	11.2704i	−0.0865594	−	0.398966i
$799$	−88.4458			−3.12899
$800$	−1.04988	−	2.88453i	−0.0371190	−	0.101984i
$801$	−8.46071	+	3.07945i	−0.298944	+	0.108807i
$802$	19.9597	−	16.7482i	0.704802	−	0.591399i
$803$	18.7535	−	22.3495i	0.661795	−	0.788696i
$804$	−4.63704	−	5.52621i	−0.163536	−	0.194894i
$805$	−9.59779	−	6.91764i	−0.338278	−	0.243815i
$806$	0.0183845	+	0.0106143i	0.000647566	+	0.000373872i
$807$	−17.6369	+	14.7991i	−0.620847	+	0.520953i
$808$	−11.2241	−	4.08525i	−0.394863	−	0.143718i
$809$	17.4868	+	30.2880i	0.614803	+	1.06487i	0.990419	+	0.138095i	$0.0440980\pi$
$809$	17.4868	+	30.2880i	0.614803	+	1.06487i	−0.375616	+	0.926776i	$0.622569\pi$
$810$	0.694685	−	1.20323i	0.0244087	−	0.0422772i
$811$	29.7979	−	25.0034i	1.04635	−	0.877989i	0.0536423	−	0.998560i	$-0.482917\pi$
$811$	29.7979	−	25.0034i	1.04635	−	0.877989i	0.992705	+	0.120571i	$0.0384725\pi$
$812$	−16.8320	+	16.3786i	−0.590689	+	0.574775i
$813$	6.94078	−	19.0696i	0.243424	−	0.668801i
$814$	−0.117167	+	0.664486i	−0.00410669	+	0.0232902i
$815$	18.7703	−	22.3696i	0.657495	−	0.783572i
$816$	−6.09765	−	3.52048i	−0.213461	−	0.123241i
$817$	49.0294	+	1.69209i	1.71532	+	0.0591986i
$818$			14.0228i			0.490294i
$819$	−2.33885	+	8.27510i	−0.0817262	+	0.289155i
$820$	6.25731	−	7.45717i	0.218515	−	0.260416i
$821$	−3.67193	−	20.8245i	−0.128151	−	0.726782i	−0.979386	−	0.201997i	$-0.935257\pi$
$821$	−3.67193	−	20.8245i	−0.128151	−	0.726782i	0.851235	−	0.524785i	$-0.175854\pi$
$822$	−16.8034	−	2.96290i	−0.586087	−	0.103343i
$823$	1.01496	+	5.75611i	0.0353792	+	0.200645i	0.997374	−	0.0724222i	$-0.0230729\pi$
$823$	1.01496	+	5.75611i	0.0353792	+	0.200645i	−0.961995	+	0.273067i	$0.911962\pi$
$824$	0.382133	+	0.220624i	0.0133122	+	0.00768581i
$825$	3.27519	−	5.67279i	0.114027	−	0.197501i
$826$	−0.969297	+	2.00667i	−0.0337261	+	0.0698210i
$827$	29.6967	−	5.23633i	1.03266	−	0.182085i	0.368460	−	0.929644i	$-0.379885\pi$
$827$	29.6967	−	5.23633i	1.03266	−	0.182085i	0.664196	+	0.747558i	$0.268774\pi$
$828$	−3.21849			−0.111850
$829$	−26.6967			−0.927214			−0.463607	−	0.886041i	$-0.653445\pi$
$829$	−26.6967			−0.927214			−0.463607	+	0.886041i	$0.653445\pi$
$830$	−4.73092	+	0.834189i	−0.164213	+	0.0289551i
$831$	9.53115	+	7.99758i	0.330632	+	0.277433i
$832$	−3.05421	−	1.11164i	−0.105886	−	0.0385392i
$833$	38.6068	−	30.6382i	1.33764	−	1.06155i
$834$	0.545614	−	3.09433i	0.0188931	−	0.107148i
$835$	−3.28695	+	1.89772i	−0.113750	+	0.0656733i
$836$	6.91492	+	6.22110i	0.239157	+	0.215161i
$837$	0.00326571	−	0.00565638i	0.000112880	−	0.000195513i
$838$	6.68492	−	2.43311i	0.230927	−	0.0840504i
$839$	−4.67642	−	3.92399i	−0.161448	−	0.135471i	0.558485	−	0.829515i	$-0.311383\pi$
$839$	−4.67642	−	3.92399i	−0.161448	−	0.135471i	−0.719933	+	0.694044i	$0.755827\pi$
$840$	−3.03965	+	2.06712i	−0.104878	+	0.0713223i
$841$	46.7934	−	17.0314i	1.61356	−	0.587290i
$842$	−11.7985	−	4.29431i	−0.406604	−	0.147992i
$843$		−	7.44088i		−	0.256277i
$844$	4.03322	−	2.32858i	0.138829	−	0.0801530i
$845$	−2.17559	−	2.59276i	−0.0748424	−	0.0891937i
$846$	2.18130	+	12.3708i	0.0749946	+	0.425316i
$847$	9.97253	−	13.8363i	0.342660	−	0.475420i
$848$	−3.25512	+	1.87934i	−0.111781	+	0.0645369i
$849$	0.160938	−	0.442173i	0.00552337	−	0.0151753i
$850$	3.75311	−	21.2849i	0.128731	−	0.730068i
$851$	0.654150	+	0.779586i	0.0224240	+	0.0267239i
$852$	11.9352	+	2.10450i	0.408893	+	0.0720988i
$853$	5.74141	+	1.01237i	0.196582	+	0.0346627i	0.271072	−	0.962559i	$-0.412622\pi$
$853$	5.74141	+	1.01237i	0.196582	+	0.0346627i	−0.0744900	+	0.997222i	$0.523733\pi$
$854$	6.09921	+	13.5602i	0.208711	+	0.464019i
$855$	−2.26637	+	5.61606i	−0.0775082	+	0.192065i
$856$	6.19042	+	10.7221i	0.211584	+	0.366475i
$857$	−16.2105	−	13.6022i	−0.553741	−	0.464644i	0.322464	−	0.946582i	$-0.395489\pi$
$857$	−16.2105	−	13.6022i	−0.553741	−	0.464644i	−0.876206	+	0.481938i	$0.839933\pi$
$858$	−2.37214	−	6.51741i	−0.0809837	−	0.222501i
$859$	47.4097	−	8.35961i	1.61760	−	0.285226i	0.709727	−	0.704477i	$-0.248818\pi$
$859$	47.4097	−	8.35961i	1.61760	−	0.285226i	0.907870	+	0.419251i	$0.137707\pi$
$860$	−5.34820	−	14.6941i	−0.182372	−	0.501064i
$861$	16.6922	+	8.06294i	0.568867	+	0.274784i
$862$	7.73015	+	13.3890i	0.263290	+	0.456031i
$863$			34.0417i			1.15879i	0.815046	+	0.579396i	$0.196712\pi$
$863$			34.0417i			1.15879i	−0.815046	+	0.579396i	$0.803288\pi$
$864$	−0.342020	+	0.939693i	−0.0116358	+	0.0319690i
$865$	10.5752	−	29.0550i	0.359567	−	0.987901i
$866$			12.6669i			0.430440i
$867$	−16.2876	−	28.2109i	−0.553155	−	0.958093i
$868$	−0.0142894	+	0.00971752i	−0.000485014	+	0.000329834i
$869$	7.49765	+	20.5996i	0.254340	+	0.698794i
$870$	12.1457	−	2.14162i	0.411778	−	0.0726076i
$871$	−8.01932	−	22.0329i	−0.271724	−	0.746556i
$872$	−7.76390	−	6.51469i	−0.262919	−	0.220615i
$873$	−6.03198	−	10.4477i	−0.204152	−	0.353601i
$874$	13.8918	−	1.95815i	0.469896	−	0.0662354i
$875$	−24.0643	−	17.3444i	−0.813522	−	0.586349i
$876$	−13.4644	−	2.37414i	−0.454921	−	0.0802149i
$877$	−28.9437	−	5.10356i	−0.977360	−	0.172335i	−0.337919	−	0.941175i	$-0.609723\pi$
$877$	−28.9437	−	5.10356i	−0.977360	−	0.172335i	−0.639441	+	0.768840i	$0.720834\pi$
$878$	−2.74596	−	3.27250i	−0.0926715	−	0.110442i
$879$	−4.99243	+	28.3135i	−0.168390	+	0.954990i
$880$	1.01402	−	2.78600i	0.0341826	−	0.0939159i
$881$	−10.0530	+	5.80410i	−0.338694	+	0.195545i	−0.659694	−	0.751534i	$-0.729314\pi$
$881$	−10.0530	+	5.80410i	−0.338694	+	0.195545i	0.321000	+	0.947079i	$0.395981\pi$
$882$	−5.23746	−	4.64425i	−0.176354	−	0.156380i
$883$	−1.06358	−	6.03185i	−0.0357922	−	0.202988i	0.961668	−	0.274217i	$-0.0884188\pi$
$883$	−1.06358	−	6.03185i	−0.0357922	−	0.202988i	−0.997460	+	0.0712296i	$0.977308\pi$
$884$	−14.7100	−	17.5307i	−0.494750	−	0.589620i
$885$	1.01348	−	0.585131i	0.0340677	−	0.0196690i
$886$			23.0229i			0.773469i
$887$	−23.7995	−	8.66230i	−0.799108	−	0.290851i	−0.0899912	−	0.995943i	$-0.528684\pi$
$887$	−23.7995	−	8.66230i	−0.799108	−	0.290851i	−0.709117	+	0.705091i	$0.750906\pi$
$888$	0.297128	−	0.108146i	0.00997095	−	0.00362913i
$889$	19.8752	+	29.2260i	0.666592	+	0.980208i
$890$	−9.58281	−	8.04093i	−0.321216	−	0.269533i
$891$	−2.00522	+	0.729842i	−0.0671775	+	0.0244506i
$892$	3.57382	−	6.19004i	0.119660	−	0.207258i
$893$	−16.9414	−	52.0680i	−0.566923	−	1.74239i
$894$	−5.10102	+	2.94507i	−0.170604	+	0.0984980i
$895$	0.608754	−	3.45242i	0.0203484	−	0.115402i
$896$	1.89620	−	1.84511i	0.0633475	−	0.0616409i
$897$	−9.82995	−	3.57781i	−0.328212	−	0.119460i
$898$	22.4283	+	18.8196i	0.748441	+	0.628017i
$899$	0.0570970	−	0.0100677i	0.00190429	−	0.000335778i
$900$	−3.06965			−0.102322
$901$	−26.4648			−0.881669
$902$	−14.7242	+	2.59627i	−0.490261	+	0.0864463i
$903$	24.6232	−	16.7450i	0.819408	−	0.557239i
$904$	−9.27352	+	16.0622i	−0.308433	+	0.534221i
$905$	−28.6706	−	16.5530i	−0.953043	−	0.550240i
$906$	−1.03511	−	5.87041i	−0.0343893	−	0.195031i
$907$	−36.7478	−	6.47962i	−1.22019	−	0.215152i	−0.473783	−	0.880642i	$-0.657112\pi$
$907$	−36.7478	−	6.47962i	−1.22019	−	0.215152i	−0.746407	+	0.665490i	$0.768223\pi$
$908$	−2.86423	−	16.2439i	−0.0950528	−	0.539071i
$909$	−7.67775	+	9.14999i	−0.254655	+	0.303486i
$910$	−11.5816	+	2.93441i	−0.383926	+	0.0972746i
$911$		−	11.6503i		−	0.385992i	−0.981200	−	0.192996i	$-0.938180\pi$
$911$		−	11.6503i		−	0.385992i	0.981200	−	0.192996i	$-0.0618204\pi$
$912$	0.904524	−	4.26402i	0.0299518	−	0.141196i
$913$	6.38975	+	3.68912i	0.211470	+	0.122092i
$914$	−17.3303	+	20.6534i	−0.573235	+	0.683155i
$915$	1.35585	−	7.68941i	0.0448230	−	0.254204i
$916$	7.07552	−	19.4398i	0.233782	−	0.642310i
$917$	3.51848	+	13.8868i	0.116190	+	0.458584i
$918$	−5.39369	+	4.52584i	−0.178018	+	0.149375i
$919$	−24.2763	+	42.0477i	−0.800800	+	1.38703i	0.118291	+	0.992979i	$0.462259\pi$
$919$	−24.2763	+	42.0477i	−0.800800	+	1.38703i	−0.919090	+	0.394047i	$0.871075\pi$
$920$	−2.23584	−	3.87259i	−0.0737134	−	0.127675i
$921$	15.9396	+	5.80155i	0.525229	+	0.191168i
$922$	−27.3240	+	22.9275i	−0.899867	+	0.755078i
$923$	34.1131	+	19.6952i	1.12285	+	0.648275i
$924$	5.61708	+	0.568808i	0.184788	+	0.0187124i
$925$	0.623898	+	0.743533i	0.0205137	+	0.0244472i
$926$	2.66533	−	3.17641i	0.0875881	−	0.104383i
$927$	0.338016	−	0.283629i	0.0111019	−	0.00931560i
$928$	−8.34141	+	3.03602i	−0.273820	+	0.0996623i
$929$	−2.22261	−	6.10656i	−0.0729213	−	0.200350i	0.897877	−	0.440246i	$-0.145109\pi$
$929$	−2.22261	−	6.10656i	−0.0729213	−	0.200350i	−0.970799	+	0.239896i	$0.922887\pi$
$930$	0.00907457			0.000297567
$931$	25.4317	+	16.8591i	0.833489	+	0.552536i
$932$	18.4956			0.605845
$933$	−1.56843	−	4.30923i	−0.0513481	−	0.141078i
$934$	27.0104	−	9.83098i	0.883807	−	0.321680i
$935$	15.9912	−	13.4182i	0.522968	−	0.438822i
$936$	−2.08920	+	2.48981i	−0.0682877	+	0.0813821i
$937$	0.736284	+	0.877469i	0.0240534	+	0.0286657i	0.777937	−	0.628342i	$-0.216266\pi$
$937$	0.736284	+	0.877469i	0.0240534	+	0.0286657i	−0.753884	+	0.657008i	$0.771822\pi$
$938$	18.9892	+	1.92292i	0.620019	+	0.0627856i
$939$	−16.3640	−	9.44777i	−0.534019	−	0.308316i
$940$	−13.3696	+	11.2184i	−0.436067	+	0.365903i
$941$	22.9212	+	8.34263i	0.747209	+	0.271962i	0.687431	−	0.726250i	$-0.258738\pi$
$941$	22.9212	+	8.34263i	0.747209	+	0.271962i	0.0597784	+	0.998212i	$0.480961\pi$
$942$	5.03990	+	8.72936i	0.164209	+	0.284418i
$943$	−11.2752	+	19.5293i	−0.367172	+	0.635960i
$944$	−0.645237	+	0.541418i	−0.0210007	+	0.0176217i
$945$	0.902834	+	3.56333i	0.0293692	+	0.115915i
$946$	−8.21423	+	22.5684i	−0.267068	+	0.733763i
$947$	−0.784098	+	4.44684i	−0.0254798	+	0.144503i	−0.994894	−	0.100929i	$-0.967819\pi$
$947$	−0.784098	+	4.44684i	−0.0254798	+	0.144503i	0.969414	+	0.245432i	$0.0789297\pi$
$948$	6.60334	−	7.86956i	0.214467	−	0.255591i
$949$	−38.4840	−	22.2187i	−1.24924	−	0.721251i
$950$	13.2493	−	1.86759i	0.429865	−	0.0605927i
$951$			1.56754i			0.0508311i
$952$	18.0580	−	4.57532i	0.585264	−	0.148287i
$953$	3.77735	−	4.50167i	0.122360	−	0.145823i	−0.701387	−	0.712781i	$-0.747435\pi$
$953$	3.77735	−	4.50167i	0.122360	−	0.145823i	0.823747	+	0.566958i	$0.191880\pi$
$954$	0.652689	+	3.70158i	0.0211316	+	0.119843i
$955$	−6.71222	−	1.18355i	−0.217202	−	0.0382986i
$956$	1.29255	+	7.33041i	0.0418040	+	0.237082i
$957$	−16.4044	−	9.47110i	−0.530280	−	0.306157i
$958$	7.20308	−	12.4761i	0.232721	−	0.403085i
$959$	37.3295	−	25.3860i	1.20543	−	0.819756i
$960$	−1.36826	+	0.241262i	−0.0441605	+	0.00778668i
$961$	−31.0000			−0.999999
$962$	1.02771			0.0331346
$963$	12.1927	−	2.14991i	0.392906	−	0.0692799i
$964$	−18.0852	−	15.1753i	−0.582484	−	0.488762i
$965$	28.0938	+	10.2253i	0.904370	+	0.329164i
$966$	6.10290	−	5.93848i	0.196358	−	0.191068i
$967$	3.54949	−	20.1302i	0.114144	−	0.647342i	−0.873027	−	0.487673i	$-0.837846\pi$
$967$	3.54949	−	20.1302i	0.114144	−	0.647342i	0.987170	−	0.159670i	$-0.0510429\pi$
$968$	5.58276	−	3.22321i	0.179437	−	0.103598i
$969$	20.5269	−	22.8161i	0.659418	−	0.732960i
$970$	8.38065	−	14.5157i	0.269086	−	0.466071i
$971$	−40.6325	+	14.7890i	−1.30396	+	0.474602i	−0.898284	−	0.439415i	$-0.855186\pi$
$971$	−40.6325	+	14.7890i	−1.30396	+	0.474602i	−0.405675	+	0.914017i	$0.632964\pi$
$972$	0.766044	+	0.642788i	0.0245709	+	0.0206174i
$973$	4.67480	+	6.87418i	0.149867	+	0.220376i
$974$	−24.4155	+	8.88653i	−0.782324	+	0.284743i
$975$	−9.37535	−	3.41235i	−0.300252	−	0.109283i
$976$			5.61984i			0.179887i
$977$	−21.1378	+	12.2039i	−0.676257	+	0.390437i	−0.798443	−	0.602070i	$-0.794343\pi$
$977$	−21.1378	+	12.2039i	−0.676257	+	0.390437i	0.122186	+	0.992507i	$0.461010\pi$
$978$	13.5099	+	16.1005i	0.432000	+	0.514838i
$979$	3.33632	+	18.9212i	0.106629	+	0.604725i
$980$	1.94971	−	9.52815i	0.0622812	−	0.304366i
$981$	−8.77721	+	5.06753i	−0.280235	+	0.161794i
$982$	8.05696	−	22.1363i	0.257108	−	0.706399i
$983$	−2.36947	+	13.4379i	−0.0755743	+	0.428603i	0.923421	+	0.383788i	$0.125381\pi$
$983$	−2.36947	+	13.4379i	−0.0755743	+	0.428603i	−0.998995	+	0.0448146i	$0.985730\pi$
$984$	4.50370	+	5.36731i	0.143573	+	0.171103i
$985$	8.02729	+	1.41543i	0.255771	+	0.0450993i
$986$	−61.5512	−	10.8531i	−1.96019	−	0.345635i
$987$	−26.9616	−	19.4327i	−0.858198	−	0.618548i
$988$	7.50266	−	12.0177i	0.238691	−	0.382333i
$989$	18.1118	+	31.3705i	0.575921	+	0.997525i
$990$	−2.27116	−	1.90573i	−0.0721824	−	0.0605682i
$991$	9.01187	+	24.7599i	0.286272	+	0.786525i	0.996580	+	0.0826341i	$0.0263333\pi$
$991$	9.01187	+	24.7599i	0.286272	+	0.786525i	−0.710308	+	0.703891i	$0.751445\pi$
$992$	−0.00643220	+	0.00113417i	−0.000204223	+	3.60100e-5i
$993$	−3.58363	−	9.84595i	−0.113723	−	0.312452i
$994$	−26.5145	+	18.0312i	−0.840989	+	0.571915i
$995$	14.6758	+	25.4192i	0.465253	+	0.805842i
$996$		−	3.45761i		−	0.109559i
$997$	−12.9001	+	35.4427i	−0.408550	+	1.12248i	0.549403	+	0.835558i	$0.314855\pi$
$997$	−12.9001	+	35.4427i	−0.408550	+	1.12248i	−0.957953	+	0.286925i	$0.907367\pi$
$998$	−1.24181	+	3.41184i	−0.0393087	+	0.108000i
$999$		−	0.316197i		−	0.0100040i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.ca.a.325.3	✓	72
7.5	odd	6		798.2.cj.a.439.3	yes	72
19.10	odd	18		798.2.cj.a.409.3	yes	72
133.124	even	18	inner	798.2.ca.a.523.3	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.ca.a.325.3	✓	72	1.1	even	1	trivial
798.2.ca.a.523.3	yes	72	133.124	even	18	inner
798.2.cj.a.409.3	yes	72	19.10	odd	18
798.2.cj.a.439.3	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)

\(f(q)\)	\(=\)	\(q+(-0.342020 - 0.939693i) q^{2} +(0.939693 - 0.342020i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(-0.893070 + 1.06432i) q^{5} +(-0.642788 - 0.766044i) q^{6} +(2.63229 + 0.266556i) q^{7} +(0.866025 + 0.500000i) q^{8} +(0.766044 - 0.642788i) q^{9} +O(q^{10})\)	\(q+(-0.342020 - 0.939693i) q^{2} +(0.939693 - 0.342020i) q^{3} +(-0.766044 + 0.642788i) q^{4} +(-0.893070 + 1.06432i) q^{5} +(-0.642788 - 0.766044i) q^{6} +(2.63229 + 0.266556i) q^{7} +(0.866025 + 0.500000i) q^{8} +(0.766044 - 0.642788i) q^{9} +(1.30558 + 0.475192i) q^{10} +(-1.06696 - 1.84802i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(-2.48981 + 2.08920i) q^{13} +(-0.649815 - 2.56471i) q^{14} +(-0.475192 + 1.30558i) q^{15} +(0.173648 - 0.984808i) q^{16} +(4.52584 - 5.39369i) q^{17} +(-0.866025 - 0.500000i) q^{18} +(4.04217 + 1.63122i) q^{19} -1.38937i q^{20} +(2.56471 - 0.649815i) q^{21} +(-1.37165 + 1.63467i) q^{22} +(0.558886 + 3.16960i) q^{23} +(0.984808 + 0.173648i) q^{24} +(0.533039 + 3.02302i) q^{25} +(2.81477 + 1.62511i) q^{26} +(0.500000 - 0.866025i) q^{27} +(-2.18779 + 1.48781i) q^{28} +(8.74188 - 1.54143i) q^{29} +1.38937 q^{30} +0.00653143 q^{31} +(-0.984808 + 0.173648i) q^{32} +(-1.63467 - 1.37165i) q^{33} +(-6.61634 - 2.40815i) q^{34} +(-2.63452 + 2.56354i) q^{35} +(-0.173648 + 0.984808i) q^{36} +(0.273834 - 0.158098i) q^{37} +(0.150343 - 4.35631i) q^{38} +(-1.62511 + 2.81477i) q^{39} +(-1.30558 + 0.475192i) q^{40} +(5.36731 + 4.50370i) q^{41} +(-1.48781 - 2.18779i) q^{42} +(10.5761 - 3.84937i) q^{43} +(2.00522 + 0.729842i) q^{44} +1.38937i q^{45} +(2.78730 - 1.60925i) q^{46} +(-8.07444 - 9.62275i) q^{47} +(-0.173648 - 0.984808i) q^{48} +(6.85790 + 1.40331i) q^{49} +(2.65840 - 1.53483i) q^{50} +(2.40815 - 6.61634i) q^{51} +(0.564395 - 3.20084i) q^{52} +(-2.41604 - 2.87932i) q^{53} +(-0.984808 - 0.173648i) q^{54} +(2.91975 + 0.514831i) q^{55} +(2.14635 + 1.54699i) q^{56} +(4.35631 + 0.150343i) q^{57} +(-4.43837 - 7.68748i) q^{58} +(-0.645237 - 0.541418i) q^{59} +(-0.475192 - 1.30558i) q^{60} +(-5.53446 + 0.975875i) q^{61} +(-0.00223388 - 0.00613753i) q^{62} +(2.18779 - 1.48781i) q^{63} +(0.500000 + 0.866025i) q^{64} -4.51576i q^{65} +(-0.729842 + 2.00522i) q^{66} +(-2.46732 + 6.77889i) q^{67} +7.04096i q^{68} +(1.60925 + 2.78730i) q^{69} +(3.31000 + 1.59885i) q^{70} +(-4.14505 - 11.3884i) q^{71} +(0.984808 - 0.173648i) q^{72} +(4.67615 + 12.8476i) q^{73} +(-0.242221 - 0.203247i) q^{74} +(1.53483 + 2.65840i) q^{75} +(-4.14501 + 1.34867i) q^{76} +(-2.31594 - 5.14894i) q^{77} +(3.20084 + 0.564395i) q^{78} +(-10.1169 - 1.78388i) q^{79} +(0.893070 + 1.06432i) q^{80} +(0.173648 - 0.984808i) q^{81} +(2.39637 - 6.58398i) q^{82} +(-2.99438 + 1.72881i) q^{83} +(-1.54699 + 2.14635i) q^{84} +(1.69871 + 9.63388i) q^{85} +(-7.23446 - 8.62169i) q^{86} +(7.68748 - 4.43837i) q^{87} -2.13391i q^{88} +(-8.46071 - 3.07945i) q^{89} +(1.30558 - 0.475192i) q^{90} +(-7.11080 + 4.83571i) q^{91} +(-2.46551 - 2.06881i) q^{92} +(0.00613753 - 0.00223388i) q^{93} +(-6.28080 + 10.8787i) q^{94} +(-5.34608 + 2.84536i) q^{95} +(-0.866025 + 0.500000i) q^{96} +(2.09488 - 11.8807i) q^{97} +(-1.02686 - 6.92427i) q^{98} +(-2.00522 - 0.729842i) 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

Groups

Database

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