LMFDB - Embedded newform 798.2.bp.d.613.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [798,2,Mod(289,798)]

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, 6, 2]))

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

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

chi := DirichletCharacter("798.289");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 798 = 2 \cdot 3 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	798.bp (of order $9$, 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:	$36$
Relative dimension:	$6$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			613.2
Character	$\chi$	$=$	798.613
Dual form			798.2.bp.d.289.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.766044 + 0.642788i) q^{2} +(0.766044 + 0.642788i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.371233 + 2.10537i) q^{5} +(0.173648 + 0.984808i) q^{6} +(-2.48887 - 0.897500i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.173648 + 0.984808i) q^{9} +O(q^{10})$	\(q+(0.766044 + 0.642788i) q^{2} +(0.766044 + 0.642788i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.371233 + 2.10537i) q^{5} +(0.173648 + 0.984808i) q^{6} +(-2.48887 - 0.897500i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.173648 + 0.984808i) q^{9} +(-1.63769 + 1.37418i) q^{10} +(-2.13639 - 3.70034i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(0.618060 + 3.50519i) q^{13} +(-1.32969 - 2.28734i) q^{14} +(-1.63769 + 1.37418i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-1.17068 + 6.63924i) q^{17} +(-0.500000 + 0.866025i) q^{18} +(-2.24621 + 3.73558i) q^{19} -2.13785 q^{20} +(-1.32969 - 2.28734i) q^{21} +(0.741962 - 4.20787i) q^{22} +(-0.315105 - 0.114689i) q^{23} +(-0.939693 + 0.342020i) q^{24} +(0.403704 + 0.146936i) q^{25} +(-1.77963 + 3.08241i) q^{26} +(-0.500000 + 0.866025i) q^{27} +(0.451677 - 2.60691i) q^{28} +(2.96104 + 1.07773i) q^{29} -2.13785 q^{30} -2.88710 q^{31} +(-0.939693 - 0.342020i) q^{32} +(0.741962 - 4.20787i) q^{33} +(-5.16441 + 4.33346i) q^{34} +(2.81352 - 4.90681i) q^{35} +(-0.939693 + 0.342020i) q^{36} +(3.04978 + 5.28238i) q^{37} +(-4.12188 + 1.41778i) q^{38} +(-1.77963 + 3.08241i) q^{39} +(-1.63769 - 1.37418i) q^{40} +(1.83479 - 10.4056i) q^{41} +(0.451677 - 2.60691i) q^{42} +(-6.07687 - 5.09910i) q^{43} +(3.27315 - 2.74650i) q^{44} -2.13785 q^{45} +(-0.167664 - 0.290402i) q^{46} +(-0.539367 - 3.05890i) q^{47} +(-0.939693 - 0.342020i) q^{48} +(5.38899 + 4.46753i) q^{49} +(0.214806 + 0.372055i) q^{50} +(-5.16441 + 4.33346i) q^{51} +(-3.34462 + 1.21734i) q^{52} +(-0.801276 - 4.54426i) q^{53} +(-0.939693 + 0.342020i) q^{54} +(8.58368 - 3.12421i) q^{55} +(2.02169 - 1.70668i) q^{56} +(-4.12188 + 1.41778i) q^{57} +(1.57554 + 2.72891i) q^{58} +(1.09213 - 6.19377i) q^{59} +(-1.63769 - 1.37418i) q^{60} +(13.2204 + 4.81182i) q^{61} +(-2.21165 - 1.85579i) q^{62} +(0.451677 - 2.60691i) q^{63} +(-0.500000 - 0.866025i) q^{64} -7.60916 q^{65} +(3.27315 - 2.74650i) q^{66} +(-0.472965 + 0.396865i) q^{67} -6.74166 q^{68} +(-0.167664 - 0.290402i) q^{69} +(5.30932 - 1.95034i) q^{70} +(8.40486 + 7.05252i) q^{71} +(-0.939693 - 0.342020i) q^{72} +(11.8803 + 9.96878i) q^{73} +(-1.05918 + 6.00690i) q^{74} +(0.214806 + 0.372055i) q^{75} +(-4.06888 - 1.56341i) q^{76} +(1.99616 + 11.1271i) q^{77} +(-3.34462 + 1.21734i) q^{78} +(-3.67045 + 1.33594i) q^{79} +(-0.371233 - 2.10537i) q^{80} +(-0.939693 + 0.342020i) q^{81} +(8.09411 - 6.79176i) q^{82} +(7.79761 + 13.5059i) q^{83} +(2.02169 - 1.70668i) q^{84} +(-13.5434 - 4.92941i) q^{85} +(-1.37751 - 7.81227i) q^{86} +(1.57554 + 2.72891i) q^{87} +4.27279 q^{88} +(4.11678 - 3.45439i) q^{89} +(-1.63769 - 1.37418i) q^{90} +(1.60764 - 9.27869i) q^{91} +(0.0582291 - 0.330234i) q^{92} +(-2.21165 - 1.85579i) q^{93} +(1.55305 - 2.68995i) q^{94} +(-7.03089 - 6.11587i) q^{95} +(-0.500000 - 0.866025i) q^{96} +(-10.6065 + 3.86045i) q^{97} +(1.25653 + 6.88630i) q^{98} +(3.27315 - 2.74650i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 36 q - 6 q^{5} - 18 q^{8}+O(q^{10}) $ 36 * q - 6 * q^5 - 18 * q^8	$ 36 q - 6 q^{5} - 18 q^{8} + 3 q^{10} + 3 q^{11} - 18 q^{12} + 27 q^{13} + 12 q^{14} + 3 q^{15} + 6 q^{17} - 18 q^{18} - 12 q^{19} - 6 q^{20} + 12 q^{21} - 3 q^{22} - 9 q^{23} + 6 q^{25} + 9 q^{26} - 18 q^{27} + 9 q^{29} - 6 q^{30} + 6 q^{31} - 3 q^{33} - 3 q^{34} - 6 q^{35} + 21 q^{37} - 9 q^{38} + 9 q^{39} + 3 q^{40} - 9 q^{41} + 51 q^{43} + 6 q^{44} - 6 q^{45} + 6 q^{46} - 15 q^{47} + 24 q^{49} - 9 q^{50} - 3 q^{51} - 27 q^{52} + 30 q^{53} + 27 q^{55} - 9 q^{57} + 18 q^{58} + 6 q^{59} + 3 q^{60} + 30 q^{61} - 24 q^{62} - 18 q^{64} - 84 q^{65} + 6 q^{66} + 42 q^{67} - 36 q^{68} + 6 q^{69} - 24 q^{70} + 6 q^{71} + 66 q^{73} - 12 q^{74} - 9 q^{75} - 6 q^{76} + 9 q^{77} - 27 q^{78} + 12 q^{79} - 6 q^{80} - 18 q^{82} + 30 q^{83} + 36 q^{85} - 39 q^{86} + 18 q^{87} - 6 q^{88} + 66 q^{89} + 3 q^{90} - 9 q^{91} - 18 q^{92} - 24 q^{93} + 18 q^{94} - 57 q^{95} - 18 q^{96} + 45 q^{97} + 6 q^{99}+O(q^{100}) $ 36 * q - 6 * q^5 - 18 * q^8 + 3 * q^10 + 3 * q^11 - 18 * q^12 + 27 * q^13 + 12 * q^14 + 3 * q^15 + 6 * q^17 - 18 * q^18 - 12 * q^19 - 6 * q^20 + 12 * q^21 - 3 * q^22 - 9 * q^23 + 6 * q^25 + 9 * q^26 - 18 * q^27 + 9 * q^29 - 6 * q^30 + 6 * q^31 - 3 * q^33 - 3 * q^34 - 6 * q^35 + 21 * q^37 - 9 * q^38 + 9 * q^39 + 3 * q^40 - 9 * q^41 + 51 * q^43 + 6 * q^44 - 6 * q^45 + 6 * q^46 - 15 * q^47 + 24 * q^49 - 9 * q^50 - 3 * q^51 - 27 * q^52 + 30 * q^53 + 27 * q^55 - 9 * q^57 + 18 * q^58 + 6 * q^59 + 3 * q^60 + 30 * q^61 - 24 * q^62 - 18 * q^64 - 84 * q^65 + 6 * q^66 + 42 * q^67 - 36 * q^68 + 6 * q^69 - 24 * q^70 + 6 * q^71 + 66 * q^73 - 12 * q^74 - 9 * q^75 - 6 * q^76 + 9 * q^77 - 27 * q^78 + 12 * q^79 - 6 * q^80 - 18 * q^82 + 30 * q^83 + 36 * q^85 - 39 * q^86 + 18 * q^87 - 6 * q^88 + 66 * q^89 + 3 * q^90 - 9 * q^91 - 18 * q^92 - 24 * q^93 + 18 * q^94 - 57 * q^95 - 18 * q^96 + 45 * q^97 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$115$	$211$	$533$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{8}{9}\right)$	$1$

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 $

$2$	0.766044	+	0.642788i	0.541675	+	0.454519i
$2$	0.766044	+	0.642788i	0.541675	+	0.454519i
$3$	0.766044	+	0.642788i	0.442276	+	0.371114i
$3$	0.766044	+	0.642788i	0.442276	+	0.371114i
$4$	0.173648	+	0.984808i	0.0868241	+	0.492404i
$5$	−0.371233	+	2.10537i	−0.166021	+	0.941549i	0.781985	+	0.623297i	$0.214207\pi$
$5$	−0.371233	+	2.10537i	−0.166021	+	0.941549i	−0.948006	+	0.318252i	$0.896904\pi$
$6$	0.173648	+	0.984808i	0.0708916	+	0.402046i
$7$	−2.48887	−	0.897500i	−0.940706	−	0.339223i
$7$	−2.48887	−	0.897500i	−0.940706	−	0.339223i
$8$	−0.500000	+	0.866025i	−0.176777	+	0.306186i
$9$	0.173648	+	0.984808i	0.0578827	+	0.328269i
$10$	−1.63769	+	1.37418i	−0.517882	+	0.434554i
$11$	−2.13639	−	3.70034i	−0.644147	−	1.11570i	−0.984498	−	0.175397i	$-0.943879\pi$
$11$	−2.13639	−	3.70034i	−0.644147	−	1.11570i	0.340351	−	0.940299i	$-0.389454\pi$
$12$	−0.500000	+	0.866025i	−0.144338	+	0.250000i
$13$	0.618060	+	3.50519i	0.171419	+	0.972166i	0.942196	+	0.335061i	$0.108757\pi$
$13$	0.618060	+	3.50519i	0.171419	+	0.972166i	−0.770777	+	0.637105i	$0.780132\pi$
$14$	−1.32969	−	2.28734i	−0.355374	−	0.611318i
$15$	−1.63769	+	1.37418i	−0.422849	+	0.354812i
$16$	−0.939693	+	0.342020i	−0.234923	+	0.0855050i
$17$	−1.17068	+	6.63924i	−0.283931	+	1.61025i	0.425148	+	0.905124i	$0.360222\pi$
$17$	−1.17068	+	6.63924i	−0.283931	+	1.61025i	−0.709079	+	0.705129i	$0.750889\pi$
$18$	−0.500000	+	0.866025i	−0.117851	+	0.204124i
$19$	−2.24621	+	3.73558i	−0.515316	+	0.857000i
$19$	−2.24621	+	3.73558i	−0.515316	+	0.857000i
$20$	−2.13785			−0.478037
$21$	−1.32969	−	2.28734i	−0.290161	−	0.499139i
$22$	0.741962	−	4.20787i	0.158187	−	0.897122i
$23$	−0.315105	−	0.114689i	−0.0657040	−	0.0239143i	0.308959	−	0.951075i	$-0.400019\pi$
$23$	−0.315105	−	0.114689i	−0.0657040	−	0.0239143i	−0.374663	+	0.927161i	$0.622242\pi$
$24$	−0.939693	+	0.342020i	−0.191814	+	0.0698146i
$25$	0.403704	+	0.146936i	0.0807407	+	0.0293872i
$26$	−1.77963	+	3.08241i	−0.349015	+	0.604511i
$27$	−0.500000	+	0.866025i	−0.0962250	+	0.166667i
$28$	0.451677	−	2.60691i	0.0853589	−	0.492660i
$29$	2.96104	+	1.07773i	0.549851	+	0.200129i	0.601980	−	0.798511i	$-0.294379\pi$
$29$	2.96104	+	1.07773i	0.549851	+	0.200129i	−0.0521293	+	0.998640i	$0.516601\pi$
$30$	−2.13785			−0.390316
$31$	−2.88710			−0.518539			−0.259269	−	0.965805i	$-0.583482\pi$
$31$	−2.88710			−0.518539			−0.259269	+	0.965805i	$0.583482\pi$
$32$	−0.939693	−	0.342020i	−0.166116	−	0.0604612i
$33$	0.741962	−	4.20787i	0.129159	−	0.732497i
$34$	−5.16441	+	4.33346i	−0.885689	+	0.743182i
$35$	2.81352	−	4.90681i	0.475572	−	0.829403i
$36$	−0.939693	+	0.342020i	−0.156615	+	0.0570034i
$37$	3.04978	+	5.28238i	0.501381	+	0.868417i	0.999999	+	0.00159532i	$0.000507806\pi$
$37$	3.04978	+	5.28238i	0.501381	+	0.868417i	−0.498618	+	0.866822i	$0.666159\pi$
$38$	−4.12188	+	1.41778i	−0.668657	+	0.229994i
$39$	−1.77963	+	3.08241i	−0.284969	+	0.493581i
$40$	−1.63769	−	1.37418i	−0.258941	−	0.217277i
$41$	1.83479	−	10.4056i	0.286545	−	1.62508i	−0.413168	−	0.910655i	$-0.635578\pi$
$41$	1.83479	−	10.4056i	0.286545	−	1.62508i	0.699713	−	0.714424i	$-0.253311\pi$
$42$	0.451677	−	2.60691i	0.0696952	−	0.402255i
$43$	−6.07687	−	5.09910i	−0.926714	−	0.777605i	0.0485106	−	0.998823i	$-0.484553\pi$
$43$	−6.07687	−	5.09910i	−0.926714	−	0.777605i	−0.975225	+	0.221217i	$0.928997\pi$
$44$	3.27315	−	2.74650i	0.493445	−	0.414050i
$45$	−2.13785			−0.318691
$46$	−0.167664	−	0.290402i	−0.0247207	−	0.0428175i
$47$	−0.539367	−	3.05890i	−0.0786748	−	0.446187i	−0.998543	−	0.0539596i	$-0.982816\pi$
$47$	−0.539367	−	3.05890i	−0.0786748	−	0.446187i	0.919868	−	0.392227i	$-0.128295\pi$
$48$	−0.939693	−	0.342020i	−0.135633	−	0.0493664i
$49$	5.38899	+	4.46753i	0.769855	+	0.638219i
$50$	0.214806	+	0.372055i	0.0303782	+	0.0526165i
$51$	−5.16441	+	4.33346i	−0.723162	+	0.606805i
$52$	−3.34462	+	1.21734i	−0.463815	+	0.168815i
$53$	−0.801276	−	4.54426i	−0.110064	−	0.624202i	−0.989076	−	0.147404i	$-0.952908\pi$
$53$	−0.801276	−	4.54426i	−0.110064	−	0.624202i	0.879013	−	0.476798i	$-0.158203\pi$
$54$	−0.939693	+	0.342020i	−0.127876	+	0.0465430i
$55$	8.58368	−	3.12421i	1.15742	−	0.421268i
$56$	2.02169	−	1.70668i	0.270160	−	0.228064i
$57$	−4.12188	+	1.41778i	−0.545956	+	0.187790i
$58$	1.57554	+	2.72891i	0.206878	+	0.358323i
$59$	1.09213	−	6.19377i	0.142183	−	0.806360i	−0.827403	−	0.561609i	$-0.810183\pi$
$59$	1.09213	−	6.19377i	0.142183	−	0.806360i	0.969586	−	0.244751i	$-0.0787062\pi$
$60$	−1.63769	−	1.37418i	−0.211424	−	0.177406i
$61$	13.2204	+	4.81182i	1.69269	+	0.616090i	0.994960	−	0.100268i	$-0.0319699\pi$
$61$	13.2204	+	4.81182i	1.69269	+	0.616090i	0.697733	+	0.716358i	$0.254192\pi$
$62$	−2.21165	−	1.85579i	−0.280879	−	0.235686i
$63$	0.451677	−	2.60691i	0.0569059	−	0.328440i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	−7.60916			−0.943801
$66$	3.27315	−	2.74650i	0.402896	−	0.338070i
$67$	−0.472965	+	0.396865i	−0.0577819	+	0.0484848i	−0.671221	−	0.741257i	$-0.734230\pi$
$67$	−0.472965	+	0.396865i	−0.0577819	+	0.0484848i	0.613439	+	0.789742i	$0.289786\pi$
$68$	−6.74166			−0.817547
$69$	−0.167664	−	0.290402i	−0.0201844	−	0.0349603i
$70$	5.30932	−	1.95034i	0.634585	−	0.233110i
$71$	8.40486	+	7.05252i	0.997474	+	0.836980i	0.986632	−	0.162961i	$-0.0521046\pi$
$71$	8.40486	+	7.05252i	0.997474	+	0.836980i	0.0108412	+	0.999941i	$0.496549\pi$
$72$	−0.939693	−	0.342020i	−0.110744	−	0.0403075i
$73$	11.8803	+	9.96878i	1.39049	+	1.16676i	0.965142	+	0.261727i	$0.0842919\pi$
$73$	11.8803	+	9.96878i	1.39049	+	1.16676i	0.425346	+	0.905031i	$0.360153\pi$
$74$	−1.05918	+	6.00690i	−0.123127	+	0.698288i
$75$	0.214806	+	0.372055i	0.0248037	+	0.0429612i
$76$	−4.06888	−	1.56341i	−0.466732	−	0.179336i
$77$	1.99616	+	11.1271i	0.227483	+	1.26805i
$78$	−3.34462	+	1.21734i	−0.378703	+	0.137837i
$79$	−3.67045	+	1.33594i	−0.412958	+	0.150304i	−0.540140	−	0.841575i	$-0.681629\pi$
$79$	−3.67045	+	1.33594i	−0.412958	+	0.150304i	0.127182	+	0.991879i	$0.459407\pi$
$80$	−0.371233	−	2.10537i	−0.0415051	−	0.235387i
$81$	−0.939693	+	0.342020i	−0.104410	+	0.0380022i
$82$	8.09411	−	6.79176i	0.893845	−	0.750025i
$83$	7.79761	+	13.5059i	0.855899	+	1.48246i	0.875808	+	0.482659i	$0.160329\pi$
$83$	7.79761	+	13.5059i	0.855899	+	1.48246i	−0.0199092	+	0.999802i	$0.506338\pi$
$84$	2.02169	−	1.70668i	0.220585	−	0.186214i
$85$	−13.5434	−	4.92941i	−1.46899	−	0.534670i
$86$	−1.37751	−	7.81227i	−0.148541	−	0.842419i
$87$	1.57554	+	2.72891i	0.168915	+	0.292570i
$88$	4.27279			0.455481
$89$	4.11678	−	3.45439i	0.436378	−	0.366165i	−0.397974	−	0.917397i	$-0.630287\pi$
$89$	4.11678	−	3.45439i	0.436378	−	0.366165i	0.834352	+	0.551232i	$0.185842\pi$
$90$	−1.63769	−	1.37418i	−0.172627	−	0.144851i
$91$	1.60764	−	9.27869i	0.168526	−	0.972671i
$92$	0.0582291	−	0.330234i	0.00607080	−	0.0344292i
$93$	−2.21165	−	1.85579i	−0.229337	−	0.192437i
$94$	1.55305	−	2.68995i	0.160184	−	0.277448i
$95$	−7.03089	−	6.11587i	−0.721355	−	0.627475i
$96$	−0.500000	−	0.866025i	−0.0510310	−	0.0883883i
$97$	−10.6065	+	3.86045i	−1.07693	+	0.391970i	−0.818763	−	0.574131i	$-0.805340\pi$
$97$	−10.6065	+	3.86045i	−1.07693	+	0.391970i	−0.258165	+	0.966101i	$0.583118\pi$
$98$	1.25653	+	6.88630i	0.126929	+	0.695621i
$99$	3.27315	−	2.74650i	0.328963	−	0.276033i
$100$	−0.0746014	+	0.423086i	−0.00746014	+	0.0423086i
$101$	−12.0019	−	4.36832i	−1.19423	−	0.434664i	−0.333023	−	0.942919i	$-0.608069\pi$
$101$	−12.0019	−	4.36832i	−1.19423	−	0.434664i	−0.861207	+	0.508255i	$0.830291\pi$
$102$	−6.74166			−0.667524
$103$	15.8454			1.56129			0.780645	−	0.624974i	$-0.214890\pi$
$103$	15.8454			1.56129			0.780645	+	0.624974i	$0.214890\pi$
$104$	−3.34462	−	1.21734i	−0.327967	−	0.119370i
$105$	5.30932	−	1.95034i	0.518137	−	0.190334i
$106$	2.30718	−	3.99616i	0.224093	−	0.388141i
$107$	−7.13768	+	12.3628i	−0.690026	+	1.19516i	0.281803	+	0.959472i	$0.409067\pi$
$107$	−7.13768	+	12.3628i	−0.690026	+	1.19516i	−0.971829	+	0.235687i	$0.924266\pi$
$108$	−0.939693	−	0.342020i	−0.0904220	−	0.0329109i
$109$	15.5673	−	5.66604i	1.49108	−	0.542708i	0.537346	−	0.843362i	$-0.319427\pi$
$109$	15.5673	−	5.66604i	1.49108	−	0.542708i	0.953733	+	0.300654i	$0.0972048\pi$
$110$	8.58368	+	3.12421i	0.818422	+	0.297881i
$111$	−1.05918	+	6.00690i	−0.100533	+	0.570149i
$112$	2.64574	−	0.00787063i	0.249999	−	0.000743704i
$113$	−8.36473			−0.786888			−0.393444	−	0.919349i	$-0.628716\pi$
$113$	−8.36473			−0.786888			−0.393444	+	0.919349i	$0.628716\pi$
$114$	−4.06888	−	1.56341i	−0.381085	−	0.146427i
$115$	0.358440	−	0.620836i	0.0334247	−	0.0578932i
$116$	−0.547178	+	3.10320i	−0.0508042	+	0.288125i
$117$	−3.34462	+	1.21734i	−0.309210	+	0.112543i
$118$	4.81790	−	4.04269i	0.443523	−	0.372160i
$119$	8.87239	−	15.4735i	0.813330	−	1.41846i
$120$	−0.371233	−	2.10537i	−0.0338888	−	0.192193i
$121$	−3.62836	+	6.28450i	−0.329851	+	0.571318i
$122$	7.03441	+	12.1839i	0.636865	+	1.10308i
$123$	8.09411	−	6.79176i	0.729821	−	0.612393i
$124$	−0.501340	−	2.84324i	−0.0450216	−	0.255330i
$125$	−5.80384	+	10.0525i	−0.519111	+	0.899127i
$126$	2.02169	−	1.70668i	0.180107	−	0.152043i
$127$	1.96003	+	11.1159i	0.173925	+	0.986375i	0.939378	+	0.342884i	$0.111404\pi$
$127$	1.96003	+	11.1159i	0.173925	+	0.986375i	−0.765453	+	0.643491i	$0.777485\pi$
$128$	0.173648	−	0.984808i	0.0153485	−	0.0870455i
$129$	−1.37751	−	7.81227i	−0.121283	−	0.687832i
$130$	−5.82896	−	4.89108i	−0.511233	−	0.428976i
$131$	−5.53302	−	4.64275i	−0.483422	−	0.405639i	0.368240	−	0.929731i	$-0.379960\pi$
$131$	−5.53302	−	4.64275i	−0.483422	−	0.405639i	−0.851662	+	0.524092i	$0.824405\pi$
$132$	4.27279			0.371898
$133$	8.94322	−	7.28140i	0.775475	−	0.631378i
$134$	−0.617412			−0.0533363
$135$	−1.63769	−	1.37418i	−0.140950	−	0.118271i
$136$	−5.16441	−	4.33346i	−0.442845	−	0.371591i
$137$	−1.25393	−	7.11140i	−0.107131	−	0.607568i	−0.990348	−	0.138604i	$-0.955739\pi$
$137$	−1.25393	−	7.11140i	−0.107131	−	0.607568i	0.883217	−	0.468964i	$-0.155373\pi$
$138$	0.0582291	−	0.330234i	0.00495679	−	0.0281113i
$139$	2.26069	+	12.8210i	0.191749	+	1.08746i	0.916973	+	0.398950i	$0.130625\pi$
$139$	2.26069	+	12.8210i	0.191749	+	1.08746i	−0.725223	+	0.688514i	$0.758263\pi$
$140$	5.32083	+	1.91872i	0.449692	+	0.162161i
$141$	1.55305	−	2.68995i	0.130790	−	0.226535i
$142$	1.90523	+	10.8051i	0.159883	+	0.906742i
$143$	11.6500	−	9.77551i	0.974222	−	0.817469i
$144$	−0.500000	−	0.866025i	−0.0416667	−	0.0721688i
$145$	−3.36825	+	5.83398i	−0.279718	+	0.484486i
$146$	2.69305	+	15.2731i	0.222879	+	1.26401i
$147$	1.25653	+	6.88630i	0.103637	+	0.567972i
$148$	−4.67254	+	3.92072i	−0.384080	+	0.322281i
$149$	6.29206	−	2.29012i	0.515466	−	0.187614i	−0.0711714	−	0.997464i	$-0.522674\pi$
$149$	6.29206	−	2.29012i	0.515466	−	0.187614i	0.586637	+	0.809850i	$0.300451\pi$
$150$	−0.0746014	+	0.423086i	−0.00609118	+	0.0345448i
$151$	1.91146	−	3.31075i	0.155553	−	0.269425i	−0.777707	−	0.628626i	$-0.783617\pi$
$151$	1.91146	−	3.31075i	0.155553	−	0.269425i	0.933260	+	0.359201i	$0.116951\pi$
$152$	−2.11200	−	3.81306i	−0.171306	−	0.309280i
$153$	−6.74166			−0.545031
$154$	−5.62322	+	9.80696i	−0.453132	+	0.790267i
$155$	1.07179	−	6.07841i	0.0860880	−	0.488229i
$156$	−3.34462	−	1.21734i	−0.267784	−	0.0974653i
$157$	11.0262	−	4.01322i	0.879989	−	0.320290i	0.137784	−	0.990462i	$-0.456002\pi$
$157$	11.0262	−	4.01322i	0.879989	−	0.320290i	0.742205	+	0.670173i	$0.233780\pi$
$158$	−3.67045	−	1.33594i	−0.292005	−	0.106281i
$159$	2.30718	−	3.99616i	0.182971	−	0.316916i
$160$	1.06892	−	1.85143i	0.0845058	−	0.146368i
$161$	0.681324	+	0.568253i	0.0536958	+	0.0447846i
$162$	−0.939693	−	0.342020i	−0.0738292	−	0.0268716i
$163$	−5.49728			−0.430580			−0.215290	−	0.976550i	$-0.569070\pi$
$163$	−5.49728			−0.430580			−0.215290	+	0.976550i	$0.569070\pi$
$164$	10.5661			0.825074
$165$	8.58368	+	3.12421i	0.668239	+	0.243219i
$166$	−2.70808	+	15.3583i	−0.210188	+	1.19204i
$167$	3.40483	−	2.85699i	0.263474	−	0.221081i	−0.501475	−	0.865172i	$-0.667209\pi$
$167$	3.40483	−	2.85699i	0.263474	−	0.221081i	0.764948	+	0.644092i	$0.222765\pi$
$168$	2.64574	−	0.00787063i	0.204123	−	0.000607232i
$169$	0.311625	−	0.113422i	0.0239712	−	0.00872479i
$170$	−7.20632	−	12.4817i	−0.552699	−	0.957303i
$171$	−4.06888	−	1.56341i	−0.311155	−	0.119557i
$172$	3.96640	−	6.87000i	0.302435	−	0.523832i
$173$	−14.6951	−	12.3306i	−1.11725	−	0.937480i	−0.118783	−	0.992920i	$-0.537899\pi$
$173$	−14.6951	−	12.3306i	−1.11725	−	0.937480i	−0.998462	+	0.0554403i	$0.982344\pi$
$174$	−0.547178	+	3.10320i	−0.0414814	+	0.235253i
$175$	−0.872892	−	0.728029i	−0.0659844	−	0.0550338i
$176$	3.27315	+	2.74650i	0.246723	+	0.207025i
$177$	4.81790	−	4.04269i	0.362135	−	0.303867i
$178$	5.37408			0.402804
$179$	−2.65425	−	4.59729i	−0.198388	−	0.343618i	0.749618	−	0.661871i	$-0.230237\pi$
$179$	−2.65425	−	4.59729i	−0.198388	−	0.343618i	−0.948006	+	0.318253i	$0.896904\pi$
$180$	−0.371233	−	2.10537i	−0.0276701	−	0.156925i
$181$	−4.14179	−	1.50749i	−0.307856	−	0.112051i	0.183472	−	0.983025i	$-0.441266\pi$
$181$	−4.14179	−	1.50749i	−0.307856	−	0.112051i	−0.491329	+	0.870974i	$0.663489\pi$
$182$	7.19575	−	6.07452i	0.533385	−	0.450273i
$183$	7.03441	+	12.1839i	0.519998	+	0.900663i
$184$	0.256876	−	0.215545i	0.0189372	−	0.0158902i
$185$	−12.2535	+	4.45992i	−0.900897	+	0.327900i
$186$	−0.501340	−	2.84324i	−0.0367600	−	0.208476i
$187$	27.0685	−	9.85213i	1.97944	−	0.720459i
$188$	2.91877	−	1.06235i	0.212873	−	0.0774796i
$189$	2.02169	−	1.70668i	0.147057	−	0.124143i
$190$	−1.45477	−	9.20440i	−0.105540	−	0.667757i
$191$	−4.80694	−	8.32586i	−0.347818	−	0.602438i	0.638044	−	0.770000i	$-0.279744\pi$
$191$	−4.80694	−	8.32586i	−0.347818	−	0.602438i	−0.985862	+	0.167562i	$0.946411\pi$
$192$	0.173648	−	0.984808i	0.0125320	−	0.0710724i
$193$	−16.9918	−	14.2578i	−1.22310	−	1.02630i	−0.998657	−	0.0518122i	$-0.983500\pi$
$193$	−16.9918	−	14.2578i	−1.22310	−	1.02630i	−0.224440	−	0.974488i	$-0.572055\pi$
$194$	−10.6065	−	3.86045i	−0.761503	−	0.277164i
$195$	−5.82896	−	4.89108i	−0.417420	−	0.350257i
$196$	−3.46387	+	6.08289i	−0.247419	+	0.434492i
$197$	6.69590	+	11.5976i	0.477063	+	0.826297i	0.999654	−	0.0262859i	$-0.00836803\pi$
$197$	6.69590	+	11.5976i	0.477063	+	0.826297i	−0.522592	+	0.852583i	$0.675035\pi$
$198$	4.27279			0.303654
$199$	−11.5042	+	9.65321i	−0.815514	+	0.684298i	−0.951917	−	0.306356i	$-0.900890\pi$
$199$	−11.5042	+	9.65321i	−0.815514	+	0.684298i	0.136403	+	0.990653i	$0.456446\pi$
$200$	−0.329102	+	0.276149i	−0.0232710	+	0.0195267i
$201$	−0.617412			−0.0435489
$202$	−6.38605	−	11.0610i	−0.449321	−	0.778247i
$203$	−6.40239	−	5.33987i	−0.449359	−	0.374785i
$204$	−5.16441	−	4.33346i	−0.361581	−	0.303403i
$205$	21.2264	+	7.72580i	1.48252	+	0.539593i
$206$	12.1383	+	10.1852i	0.845713	+	0.709637i
$207$	0.0582291	−	0.330234i	0.00404720	−	0.0229528i
$208$	−1.77963	−	3.08241i	−0.123395	−	0.213727i
$209$	18.6217	+	0.331092i	1.28809	+	0.0229021i
$210$	5.32083	+	1.91872i	0.367172	+	0.132404i
$211$	−2.49295	+	0.907358i	−0.171622	+	0.0624651i	−0.426402	−	0.904534i	$-0.640219\pi$
$211$	−2.49295	+	0.907358i	−0.171622	+	0.0624651i	0.254780	+	0.966999i	$0.417997\pi$
$212$	4.33608	−	1.57821i	0.297803	−	0.108392i
$213$	1.90523	+	10.8051i	0.130544	+	0.740352i
$214$	−13.4145	+	4.88246i	−0.916993	+	0.333758i
$215$	12.9914	−	10.9011i	0.886007	−	0.743448i
$216$	−0.500000	−	0.866025i	−0.0340207	−	0.0589256i
$217$	7.18563	+	2.59117i	0.487792	+	0.175900i
$218$	15.5673	+	5.66604i	1.05435	+	0.383753i
$219$	2.69305	+	15.2731i	0.181980	+	1.03206i
$220$	4.56728	+	7.91076i	0.307926	+	0.533344i
$221$	−23.9954			−1.61410
$222$	−4.67254	+	3.92072i	−0.313600	+	0.263142i
$223$	21.0665	+	17.6769i	1.41072	+	1.18373i	0.956098	+	0.293046i	$0.0946688\pi$
$223$	21.0665	+	17.6769i	1.41072	+	1.18373i	0.454619	+	0.890686i	$0.349776\pi$
$224$	2.03181	+	1.69462i	0.135756	+	0.113227i
$225$	−0.0746014	+	0.423086i	−0.00497343	+	0.0282057i
$226$	−6.40776	−	5.37675i	−0.426238	−	0.357656i
$227$	4.80071	−	8.31507i	0.318634	−	0.551890i	−0.661569	−	0.749884i	$-0.730109\pi$
$227$	4.80071	−	8.31507i	0.318634	−	0.551890i	0.980203	+	0.197994i	$0.0634426\pi$
$228$	−2.11200	−	3.81306i	−0.139870	−	0.252526i
$229$	5.29179	+	9.16565i	0.349691	+	0.605683i	0.986195	−	0.165591i	$-0.0529531\pi$
$229$	5.29179	+	9.16565i	0.349691	+	0.605683i	−0.636503	+	0.771274i	$0.719620\pi$
$230$	0.673646	−	0.245187i	0.0444189	−	0.0161672i
$231$	−5.62322	+	9.80696i	−0.369981	+	0.645250i
$232$	−2.41386	+	2.02547i	−0.158478	+	0.132979i
$233$	−2.91821	+	16.5500i	−0.191178	+	1.08423i	0.726578	+	0.687084i	$0.241109\pi$
$233$	−2.91821	+	16.5500i	−0.191178	+	1.08423i	−0.917757	+	0.397143i	$0.870002\pi$
$234$	−3.34462	−	1.21734i	−0.218644	−	0.0795801i
$235$	6.64035			0.433169
$236$	6.28932			0.409400
$237$	−3.67045	−	1.33594i	−0.238421	−	0.0867783i
$238$	16.7428	−	6.15037i	1.08528	−	0.398669i
$239$	7.87945	−	13.6476i	0.509679	−	0.882790i	−0.490258	−	0.871577i	$-0.663097\pi$
$239$	7.87945	−	13.6476i	0.509679	−	0.882790i	0.999937	−	0.0112129i	$-0.00356925\pi$
$240$	1.06892	−	1.85143i	0.0689987	−	0.119509i
$241$	4.00762	+	1.45866i	0.258154	+	0.0939603i	0.467855	−	0.883805i	$-0.345027\pi$
$241$	4.00762	+	1.45866i	0.258154	+	0.0939603i	−0.209701	+	0.977766i	$0.567249\pi$
$242$	−6.81908	+	2.48194i	−0.438347	+	0.159545i
$243$	−0.939693	−	0.342020i	−0.0602813	−	0.0219406i
$244$	−2.44302	+	13.8551i	−0.156399	+	0.886980i
$245$	−11.4064	+	9.68730i	−0.728726	+	0.618899i
$246$	10.5661			0.673670
$247$	−14.4822	−	5.56460i	−0.921481	−	0.354067i
$248$	1.44355	−	2.50030i	0.0916655	−	0.158769i
$249$	−2.70808	+	15.3583i	−0.171618	+	0.973293i
$250$	−10.9076	+	3.97006i	−0.689860	+	0.251089i
$251$	−12.1550	+	10.1993i	−0.767217	+	0.643772i	−0.939995	−	0.341189i	$-0.889170\pi$
$251$	−12.1550	+	10.1993i	−0.767217	+	0.643772i	0.172777	+	0.984961i	$0.444726\pi$
$252$	2.64574	−	0.00787063i	0.166666	−	0.000495803i
$253$	0.248800	+	1.41102i	0.0156420	+	0.0887099i
$254$	−5.64368	+	9.77514i	−0.354116	+	0.613347i
$255$	−7.20632	−	12.4817i	−0.451277	−	0.781635i
$256$	0.766044	−	0.642788i	0.0478778	−	0.0401742i
$257$	−3.64443	−	20.6686i	−0.227333	−	1.28927i	−0.858174	−	0.513359i	$-0.828401\pi$
$257$	−3.64443	−	20.6686i	−0.227333	−	1.28927i	0.630841	−	0.775912i	$-0.282710\pi$
$258$	3.96640	−	6.87000i	0.246937	−	0.427707i
$259$	−2.84959	−	15.8843i	−0.177065	−	0.987005i
$260$	−1.32132	−	7.49356i	−0.0819446	−	0.464731i
$261$	−0.547178	+	3.10320i	−0.0338694	+	0.192083i
$262$	−1.25423	−	7.11311i	−0.0774868	−	0.439449i
$263$	−15.9575	−	13.3899i	−0.983981	−	0.825658i	0.000704100	−	1.00000i	$-0.499776\pi$
$263$	−15.9575	−	13.3899i	−0.983981	−	0.825658i	−0.984685	+	0.174342i	$0.944220\pi$
$264$	3.27315	+	2.74650i	0.201448	+	0.169035i
$265$	9.86480			0.605990
$266$	11.5313	+	0.170713i	0.707029	+	0.0104671i
$267$	5.37408			0.328888
$268$	−0.472965	−	0.396865i	−0.0288909	−	0.0242424i
$269$	11.1521	+	9.35773i	0.679956	+	0.570551i	0.915994	−	0.401193i	$-0.131404\pi$
$269$	11.1521	+	9.35773i	0.679956	+	0.570551i	−0.236037	+	0.971744i	$0.575849\pi$
$270$	−0.371233	−	2.10537i	−0.0225925	−	0.128129i
$271$	4.04037	−	22.9141i	0.245435	−	1.39193i	−0.574046	−	0.818823i	$-0.694627\pi$
$271$	4.04037	−	22.9141i	0.245435	−	1.39193i	0.819481	−	0.573107i	$-0.194262\pi$
$272$	−1.17068	−	6.63924i	−0.0709827	−	0.402563i
$273$	7.19575	−	6.07452i	0.435507	−	0.367647i
$274$	3.61055	−	6.25366i	0.218121	−	0.377797i
$275$	−0.318756	−	1.80775i	−0.0192217	−	0.109012i
$276$	0.256876	−	0.215545i	0.0154621	−	0.0129743i
$277$	3.02512	+	5.23966i	0.181762	+	0.314820i	0.942481	−	0.334261i	$-0.108487\pi$
$277$	3.02512	+	5.23966i	0.181762	+	0.314820i	−0.760719	+	0.649082i	$0.775153\pi$
$278$	−6.50940	+	11.2746i	−0.390408	+	0.676206i
$279$	−0.501340	−	2.84324i	−0.0300144	−	0.170220i
$280$	2.84266	+	4.88999i	0.169882	+	0.292233i
$281$	12.5446	−	10.5262i	0.748348	−	0.627939i	−0.186717	−	0.982414i	$-0.559785\pi$
$281$	12.5446	−	10.5262i	0.748348	−	0.627939i	0.935066	+	0.354475i	$0.115340\pi$
$282$	2.91877	−	1.06235i	0.173810	−	0.0632618i
$283$	−3.06340	+	17.3734i	−0.182100	+	1.03274i	0.747525	+	0.664234i	$0.231242\pi$
$283$	−3.06340	+	17.3734i	−0.182100	+	1.03274i	−0.929625	+	0.368507i	$0.879869\pi$
$284$	−5.48588	+	9.50183i	−0.325527	+	0.563830i
$285$	−1.45477	−	9.20440i	−0.0861732	−	0.545222i
$286$	15.2080			0.899267
$287$	−13.9056	+	24.2515i	−0.820819	+	1.43152i
$288$	0.173648	−	0.984808i	0.0102323	−	0.0580304i
$289$	−26.7343	−	9.73047i	−1.57260	−	0.572381i
$290$	−6.33024	+	2.30402i	−0.371725	+	0.135297i
$291$	−10.6065	−	3.86045i	−0.621765	−	0.226304i
$292$	−7.75434	+	13.4309i	−0.453788	+	0.785984i
$293$	−10.9232	+	18.9196i	−0.638143	+	1.10530i	0.347697	+	0.937607i	$0.386964\pi$
$293$	−10.9232	+	18.9196i	−0.638143	+	1.10530i	−0.985840	+	0.167689i	$0.946370\pi$
$294$	−3.46387	+	6.08289i	−0.202017	+	0.354762i
$295$	12.6347	+	4.59866i	0.735622	+	0.267745i
$296$	−6.09956			−0.354530
$297$	4.27279			0.247932
$298$	6.29206	+	2.29012i	0.364489	+	0.132663i
$299$	0.207253	−	1.17539i	0.0119857	−	0.0679745i
$300$	−0.329102	+	0.276149i	−0.0190007	+	0.0159435i
$301$	10.5481	+	18.1450i	0.607984	+	1.04586i
$302$	3.59238	−	1.30752i	0.206718	−	0.0752392i
$303$	−6.38605	−	11.0610i	−0.366869	−	0.635436i
$304$	0.833107	−	4.27854i	0.0477819	−	0.245391i
$305$	−15.0385	+	26.0474i	−0.861101	+	1.49147i
$306$	−5.16441	−	4.33346i	−0.295230	−	0.247727i
$307$	3.16896	−	17.9721i	0.180862	−	1.02572i	−0.750295	−	0.661103i	$-0.770089\pi$
$307$	3.16896	−	17.9721i	0.180862	−	1.02572i	0.931157	−	0.364618i	$-0.118800\pi$
$308$	−10.6114	+	3.89803i	−0.604642	+	0.222111i
$309$	12.1383	+	10.1852i	0.690521	+	0.579416i
$310$	4.72816	−	3.96740i	0.268542	−	0.225333i
$311$	−1.51499			−0.0859072			−0.0429536	−	0.999077i	$-0.513677\pi$
$311$	−1.51499			−0.0859072			−0.0429536	+	0.999077i	$0.513677\pi$
$312$	−1.77963	−	3.08241i	−0.100752	−	0.174507i
$313$	−3.24915	−	18.4268i	−0.183653	−	1.04155i	−0.927674	−	0.373390i	$-0.878195\pi$
$313$	−3.24915	−	18.4268i	−0.183653	−	1.04155i	0.744022	−	0.668156i	$-0.232916\pi$
$314$	11.0262	+	4.01322i	0.622246	+	0.226479i
$315$	5.32083	+	1.91872i	0.299795	+	0.108108i
$316$	−1.95301	−	3.38271i	−0.109865	−	0.190292i
$317$	14.7763	−	12.3988i	0.829918	−	0.696384i	−0.125354	−	0.992112i	$-0.540007\pi$
$317$	14.7763	−	12.3988i	0.829918	−	0.696384i	0.955272	+	0.295728i	$0.0955623\pi$
$318$	4.33608	−	1.57821i	0.243155	−	0.0885013i
$319$	−2.33797	−	13.2593i	−0.130901	−	0.742379i
$320$	2.00892	−	0.731187i	0.112302	−	0.0408746i
$321$	−13.4145	+	4.88246i	−0.748722	+	0.272512i
$322$	0.156658	+	0.873254i	0.00873022	+	0.0486645i
$323$	−22.1718	−	19.2863i	−1.23367	−	1.07312i
$324$	−0.500000	−	0.866025i	−0.0277778	−	0.0481125i
$325$	−0.265526	+	1.50587i	−0.0147287	+	0.0835309i
$326$	−4.21116	−	3.53358i	−0.233234	−	0.195707i
$327$	15.5673	+	5.66604i	0.860875	+	0.313333i
$328$	8.09411	+	6.79176i	0.446922	+	0.375012i
$329$	−1.40295	+	8.09731i	−0.0773471	+	0.446419i
$330$	4.56728	+	7.91076i	0.251421	+	0.435473i
$331$	12.2197			0.671656			0.335828	−	0.941923i	$-0.390984\pi$
$331$	12.2197			0.671656			0.335828	+	0.941923i	$0.390984\pi$
$332$	−11.9466	+	10.0244i	−0.655657	+	0.550161i
$333$	−4.67254	+	3.92072i	−0.256053	+	0.214854i
$334$	4.44469			0.243203
$335$	−0.659966	−	1.14309i	−0.0360578	−	0.0624539i
$336$	2.03181	+	1.69462i	0.110845	+	0.0924491i
$337$	−4.65105	−	3.90270i	−0.253359	−	0.212594i	0.507258	−	0.861794i	$-0.330659\pi$
$337$	−4.65105	−	3.90270i	−0.253359	−	0.212594i	−0.760617	+	0.649201i	$0.775104\pi$
$338$	0.311625	+	0.113422i	0.0169502	+	0.00616936i
$339$	−6.40776	−	5.37675i	−0.348022	−	0.292025i
$340$	2.50273	−	14.1937i	0.135729	−	0.769760i
$341$	6.16798	+	10.6833i	0.334015	+	0.578531i
$342$	−2.11200	−	3.81306i	−0.114204	−	0.206187i
$343$	−9.40290	−	15.9557i	−0.507709	−	0.861529i
$344$	7.45438	−	2.71317i	0.401913	−	0.146285i
$345$	0.673646	−	0.245187i	0.0362679	−	0.0132004i
$346$	−3.33110	−	18.8916i	−0.179081	−	1.01562i
$347$	8.18070	−	2.97753i	0.439163	−	0.159842i	−0.112970	−	0.993598i	$-0.536036\pi$
$347$	8.18070	−	2.97753i	0.439163	−	0.159842i	0.552133	+	0.833756i	$0.313814\pi$
$348$	−2.41386	+	2.02547i	−0.129396	+	0.108577i
$349$	−4.04209	−	7.00110i	−0.216368	−	0.374760i	0.737327	−	0.675536i	$-0.236088\pi$
$349$	−4.04209	−	7.00110i	−0.216368	−	0.374760i	−0.953695	+	0.300776i	$0.902754\pi$
$350$	−0.200706	−	1.11879i	−0.0107282	−	0.0598017i
$351$	−3.34462	−	1.21734i	−0.178522	−	0.0649768i
$352$	0.741962	+	4.20787i	0.0395467	+	0.224280i
$353$	−12.4351	−	21.5382i	−0.661854	−	1.14636i	−0.980128	−	0.198366i	$-0.936437\pi$
$353$	−12.4351	−	21.5382i	−0.661854	−	1.14636i	0.318274	−	0.947999i	$-0.396897\pi$
$354$	6.28932			0.334273
$355$	−17.9683	+	15.0772i	−0.953659	+	0.800215i
$356$	4.11678	+	3.45439i	0.218189	+	0.183082i
$357$	16.7428	−	6.15037i	0.886126	−	0.325512i
$358$	0.921810	−	5.22785i	0.0487192	−	0.276300i
$359$	−0.454171	−	0.381095i	−0.0239702	−	0.0201134i	0.630724	−	0.776007i	$-0.282758\pi$
$359$	−0.454171	−	0.381095i	−0.0239702	−	0.0201134i	−0.654694	+	0.755894i	$0.727203\pi$
$360$	1.06892	−	1.85143i	0.0563372	−	0.0975789i
$361$	−8.90906	−	16.7818i	−0.468898	−	0.883252i
$362$	−2.20380	−	3.81709i	−0.115829	−	0.200622i
$363$	−6.81908	+	2.48194i	−0.357909	+	0.130268i
$364$	9.41689	−	0.0280137i	0.493579	−	0.00146831i
$365$	−25.3983	+	21.3117i	−1.32941	+	1.11551i
$366$	−2.44302	+	13.8551i	−0.127699	+	0.724216i
$367$	0.787842	+	0.286751i	0.0411250	+	0.0149683i	0.362501	−	0.931983i	$-0.381923\pi$
$367$	0.787842	+	0.286751i	0.0411250	+	0.0149683i	−0.321376	+	0.946952i	$0.604145\pi$
$368$	0.335328			0.0174802
$369$	10.5661			0.550050
$370$	−12.2535	−	4.45992i	−0.637030	−	0.231860i
$371$	−2.08420	+	12.0292i	−0.108206	+	0.624527i
$372$	1.44355	−	2.50030i	0.0748446	−	0.129635i
$373$	−2.62362	+	4.54425i	−0.135846	+	0.235292i	−0.925920	−	0.377719i	$-0.876709\pi$
$373$	−2.62362	+	4.54425i	−0.135846	+	0.235292i	0.790074	+	0.613011i	$0.210042\pi$
$374$	27.0685	+	9.85213i	1.39968	+	0.509441i
$375$	−10.9076	+	3.97006i	−0.563269	+	0.205013i
$376$	2.91877	+	1.06235i	0.150524	+	0.0547863i
$377$	−1.94755	+	11.0451i	−0.100304	+	0.568852i
$378$	2.64574	−	0.00787063i	0.136082	−	0.000404821i
$379$	−37.5578			−1.92921			−0.964607	−	0.263692i	$-0.915060\pi$
$379$	−37.5578			−1.92921			−0.964607	+	0.263692i	$0.915060\pi$
$380$	4.80206	−	7.98609i	0.246340	−	0.409678i
$381$	−5.64368	+	9.77514i	−0.289135	+	0.500796i
$382$	1.66943	−	9.46782i	0.0854155	−	0.484416i
$383$	17.8477	−	6.49603i	0.911974	−	0.331931i	0.156933	−	0.987609i	$-0.449839\pi$
$383$	17.8477	−	6.49603i	0.911974	−	0.331931i	0.755041	+	0.655678i	$0.227617\pi$
$384$	0.766044	−	0.642788i	0.0390920	−	0.0328021i
$385$	−24.1677	+	0.0718947i	−1.23170	+	0.00366410i
$386$	−3.85173	−	21.8442i	−0.196048	−	1.11184i
$387$	3.96640	−	6.87000i	0.201623	−	0.349222i
$388$	−5.64361	−	9.77501i	−0.286511	−	0.496251i
$389$	2.06708	−	1.73449i	0.104805	−	0.0879420i	−0.588879	−	0.808221i	$-0.700431\pi$
$389$	2.06708	−	1.73449i	0.104805	−	0.0879420i	0.693684	+	0.720279i	$0.255986\pi$
$390$	−1.32132	−	7.49356i	−0.0669075	−	0.379451i
$391$	1.13033	−	1.95780i	0.0571634	−	0.0990100i
$392$	−6.56349	+	2.43323i	−0.331506	+	0.122897i
$393$	−1.25423	−	7.11311i	−0.0632677	−	0.358809i
$394$	−2.32546	+	13.1883i	−0.117155	+	0.664419i
$395$	−1.45004	−	8.22359i	−0.0729595	−	0.413774i
$396$	3.27315	+	2.74650i	0.164482	+	0.138017i
$397$	2.00659	+	1.68373i	0.100708	+	0.0845040i	0.691751	−	0.722136i	$-0.256839\pi$
$397$	2.00659	+	1.68373i	0.100708	+	0.0845040i	−0.591043	+	0.806640i	$0.701284\pi$
$398$	−15.0177			−0.752771
$399$	11.5313	+	0.170713i	0.577287	+	0.00854632i
$400$	−0.429612			−0.0214806
$401$	−21.5655	−	18.0956i	−1.07693	−	0.903650i	−0.0812659	−	0.996692i	$-0.525896\pi$
$401$	−21.5655	−	18.0956i	−1.07693	−	0.903650i	−0.995662	+	0.0930425i	$0.970341\pi$
$402$	−0.472965	−	0.396865i	−0.0235894	−	0.0197938i
$403$	−1.78440	−	10.1198i	−0.0888874	−	0.504105i
$404$	2.21785	−	12.5781i	0.110342	−	0.625782i
$405$	−0.371233	−	2.10537i	−0.0184467	−	0.104617i
$406$	−1.47211	−	8.20595i	−0.0730598	−	0.407254i
$407$	13.0311	−	22.5705i	0.645926	−	1.11878i
$408$	−1.17068	−	6.63924i	−0.0579572	−	0.328691i
$409$	−9.59635	+	8.05230i	−0.474509	+	0.398160i	−0.848436	−	0.529298i	$-0.822455\pi$
$409$	−9.59635	+	8.05230i	−0.474509	+	0.398160i	0.373927	+	0.927458i	$0.378011\pi$
$410$	11.2944	+	19.5624i	0.557789	+	0.966118i
$411$	3.61055	−	6.25366i	0.178095	−	0.308470i
$412$	2.75152	+	15.6046i	0.135558	+	0.768786i
$413$	−8.27708	+	14.4353i	−0.407288	+	0.710316i
$414$	0.256876	−	0.215545i	0.0126248	−	0.0105934i
$415$	−31.3295	+	11.4030i	−1.53791	+	0.559752i
$416$	0.618060	−	3.50519i	0.0303029	−	0.171856i
$417$	−6.50940	+	11.2746i	−0.318767	+	0.552120i
$418$	14.0522	+	12.2234i	0.687317	+	0.597868i
$419$	28.9685			1.41520			0.707602	−	0.706611i	$-0.249777\pi$
$419$	28.9685			1.41520			0.707602	+	0.706611i	$0.249777\pi$
$420$	2.84266	+	4.88999i	0.138708	+	0.238607i
$421$	−3.35632	+	19.0346i	−0.163577	+	0.927692i	0.786942	+	0.617027i	$0.211663\pi$
$421$	−3.35632	+	19.0346i	−0.163577	+	0.927692i	−0.950519	+	0.310665i	$0.899448\pi$
$422$	−2.49295	−	0.907358i	−0.121355	−	0.0441695i
$423$	2.91877	−	1.06235i	0.141916	−	0.0516530i
$424$	4.33608	+	1.57821i	0.210579	+	0.0766444i
$425$	−1.44815	+	2.50827i	−0.0702456	+	0.121669i
$426$	−5.48588	+	9.50183i	−0.265792	+	0.460365i
$427$	−28.5852	−	23.8413i	−1.38333	−	1.15376i
$428$	−13.4145	−	4.88246i	−0.648412	−	0.236003i
$429$	15.2080			0.734249
$430$	16.9591			0.817840
$431$	6.78368	+	2.46906i	0.326758	+	0.118930i	0.500190	−	0.865916i	$-0.333263\pi$
$431$	6.78368	+	2.46906i	0.326758	+	0.118930i	−0.173432	+	0.984846i	$0.555486\pi$
$432$	0.173648	−	0.984808i	0.00835465	−	0.0473816i
$433$	−19.9974	+	16.7798i	−0.961012	+	0.806384i	−0.981117	−	0.193413i	$-0.938044\pi$
$433$	−19.9974	+	16.7798i	−0.961012	+	0.806384i	0.0201058	+	0.999798i	$0.493600\pi$
$434$	3.83894	+	6.60379i	0.184275	+	0.316992i
$435$	−6.33024	+	2.30402i	−0.303512	+	0.110469i
$436$	8.28320	+	14.3469i	0.396693	+	0.687093i
$437$	1.13622	−	0.919484i	0.0543529	−	0.0439849i
$438$	−7.75434	+	13.4309i	−0.370516	+	0.641753i
$439$	−4.38996	−	3.68361i	−0.209521	−	0.175809i	0.531988	−	0.846752i	$-0.321445\pi$
$439$	−4.38996	−	3.68361i	−0.209521	−	0.175809i	−0.741509	+	0.670943i	$0.765890\pi$
$440$	−1.58620	+	8.99579i	−0.0756191	+	0.428857i
$441$	−3.46387	+	6.08289i	−0.164946	+	0.289662i
$442$	−18.3815	−	15.4239i	−0.874320	−	0.733641i
$443$	6.28040	−	5.26988i	0.298391	−	0.250380i	−0.481283	−	0.876565i	$-0.659829\pi$
$443$	6.28040	−	5.26988i	0.298391	−	0.250380i	0.779674	+	0.626185i	$0.215385\pi$
$444$	−6.09956			−0.289472
$445$	5.74448	+	9.94972i	0.272314	+	0.471662i
$446$	4.77539	+	27.0826i	0.226121	+	1.28240i
$447$	6.29206	+	2.29012i	0.297604	+	0.108319i
$448$	0.467179	+	2.60418i	0.0220721	+	0.123036i
$449$	7.65069	+	13.2514i	0.361059	+	0.625372i	0.988135	−	0.153586i	$-0.0490821\pi$
$449$	7.65069	+	13.2514i	0.361059	+	0.625372i	−0.627077	+	0.778957i	$0.715749\pi$
$450$	−0.329102	+	0.276149i	−0.0155140	+	0.0130178i
$451$	−42.4241	+	15.4411i	−1.99767	+	0.727093i
$452$	−1.45252	−	8.23765i	−0.0683208	−	0.387467i
$453$	3.59238	−	1.30752i	0.168785	−	0.0614326i
$454$	9.02238	−	3.28388i	0.423441	−	0.154120i
$455$	18.9383	+	6.82923i	0.887839	+	0.320159i
$456$	0.833107	−	4.27854i	0.0390138	−	0.200361i
$457$	5.50396	+	9.53315i	0.257465	+	0.445942i	0.965562	−	0.260173i	$-0.0837796\pi$
$457$	5.50396	+	9.53315i	0.257465	+	0.445942i	−0.708097	+	0.706115i	$0.750446\pi$
$458$	−1.83782	+	10.4228i	−0.0858757	+	0.487025i
$459$	−5.16441	−	4.33346i	−0.241054	−	0.202268i
$460$	0.673646	+	0.245187i	0.0314089	+	0.0114319i
$461$	−11.0689	−	9.28793i	−0.515531	−	0.432582i	0.347540	−	0.937665i	$-0.387017\pi$
$461$	−11.0689	−	9.28793i	−0.515531	−	0.432582i	−0.863070	+	0.505084i	$0.831462\pi$
$462$	−10.6114	+	3.89803i	−0.493688	+	0.181353i
$463$	5.72071	+	9.90856i	0.265864	+	0.460490i	0.967790	−	0.251760i	$-0.0810095\pi$
$463$	5.72071	+	9.90856i	0.265864	+	0.460490i	−0.701926	+	0.712250i	$0.747676\pi$
$464$	−3.15107			−0.146285
$465$	4.72816	−	3.96740i	0.219263	−	0.183984i
$466$	−12.8736	+	10.8022i	−0.596359	+	0.500404i
$467$	12.6737			0.586469			0.293235	−	0.956040i	$-0.405268\pi$
$467$	12.6737			0.586469			0.293235	+	0.956040i	$0.405268\pi$
$468$	−1.77963	−	3.08241i	−0.0822636	−	0.142485i
$469$	1.53334	−	0.563260i	0.0708029	−	0.0260089i
$470$	5.08680	+	4.26833i	0.234637	+	0.196884i
$471$	11.0262	+	4.01322i	0.508062	+	0.184919i
$472$	4.81790	+	4.04269i	0.221762	+	0.186080i
$473$	−5.88583	+	33.3802i	−0.270631	+	1.53482i
$474$	−1.95301	−	3.38271i	−0.0897046	−	0.155373i
$475$	−1.45569	+	1.17802i	−0.0667918	+	0.0540511i
$476$	16.7791	+	6.05064i	0.769071	+	0.277331i
$477$	4.33608	−	1.57821i	0.198536	−	0.0722610i
$478$	14.8085	−	5.38986i	0.677326	−	0.246526i
$479$	−1.98952	−	11.2831i	−0.0909033	−	0.515538i	−0.995926	−	0.0901750i	$-0.971257\pi$
$479$	−1.98952	−	11.2831i	−0.0909033	−	0.515538i	0.905023	−	0.425363i	$-0.139854\pi$
$480$	2.00892	−	0.731187i	0.0916942	−	0.0333739i
$481$	−16.6308	+	13.9549i	−0.758299	+	0.636289i
$482$	2.13241	+	3.69345i	0.0971287	+	0.168232i
$483$	0.156658	+	0.873254i	0.00712819	+	0.0397344i
$484$	−6.81908	−	2.48194i	−0.309958	−	0.112816i
$485$	−4.19019	−	23.7637i	−0.190267	−	1.07906i
$486$	−0.500000	−	0.866025i	−0.0226805	−	0.0392837i
$487$	24.6555			1.11725			0.558623	−	0.829421i	$-0.311330\pi$
$487$	24.6555			1.11725			0.558623	+	0.829421i	$0.311330\pi$
$488$	−10.7773	+	9.04326i	−0.487867	+	0.409369i
$489$	−4.21116	−	3.53358i	−0.190435	−	0.159794i
$490$	−14.9647	+	0.0890354i	−0.676034	+	0.00402221i
$491$	−4.62878	+	26.2511i	−0.208894	+	1.18470i	0.682300	+	0.731072i	$0.260980\pi$
$491$	−4.62878	+	26.2511i	−0.208894	+	1.18470i	−0.891194	+	0.453623i	$0.850131\pi$
$492$	8.09411	+	6.79176i	0.364911	+	0.306196i
$493$	−10.6217	+	18.3974i	−0.478378	+	0.828576i
$494$	−7.51716	−	13.5717i	−0.338213	−	0.610620i
$495$	4.56728	+	7.91076i	0.205284	+	0.355562i
$496$	2.71299	−	0.987446i	0.121817	−	0.0443377i
$497$	−14.5890	−	25.0962i	−0.654406	−	1.12572i
$498$	−11.9466	+	10.0244i	−0.535342	+	0.449205i
$499$	−6.50492	+	36.8912i	−0.291200	+	1.65148i	0.391058	+	0.920366i	$0.372109\pi$
$499$	−6.50492	+	36.8912i	−0.291200	+	1.65148i	−0.682258	+	0.731111i	$0.739002\pi$
$500$	−10.9076	−	3.97006i	−0.487805	−	0.177546i
$501$	4.44469			0.198574
$502$	−15.8672			−0.708189
$503$	−15.4908	−	5.63819i	−0.690701	−	0.251395i	−0.0272655	−	0.999628i	$-0.508680\pi$
$503$	−15.4908	−	5.63819i	−0.690701	−	0.251395i	−0.663435	+	0.748234i	$0.730902\pi$
$504$	2.03181	+	1.69462i	0.0905042	+	0.0754843i
$505$	13.6524	−	23.6467i	0.607524	−	1.05226i
$506$	−0.716392	+	1.24083i	−0.0318475	+	0.0551615i
$507$	0.311625	+	0.113422i	0.0138398	+	0.00503726i
$508$	−10.6067	+	3.86051i	−0.470594	+	0.171282i
$509$	18.8572	+	6.86345i	0.835830	+	0.304217i	0.724249	−	0.689538i	$-0.242186\pi$
$509$	18.8572	+	6.86345i	0.835830	+	0.304217i	0.111581	+	0.993755i	$0.464409\pi$
$510$	2.50273	−	14.1937i	0.110823	−	0.628507i
$511$	−20.6217	−	35.4736i	−0.912249	−	1.56926i
$512$	1.00000			0.0441942
$513$	−2.11200	−	3.81306i	−0.0932470	−	0.168351i
$514$	10.4937	−	18.1757i	0.462858	−	0.801694i
$515$	−5.88233	+	33.3603i	−0.259206	+	1.47003i
$516$	7.45438	−	2.71317i	0.328161	−	0.119441i
$517$	−10.1667	+	8.53087i	−0.447131	+	0.375187i
$518$	8.02735	−	13.9998i	0.352702	−	0.615116i
$519$	−3.33110	−	18.8916i	−0.146219	−	0.829250i
$520$	3.80458	−	6.58973i	0.166842	−	0.288979i
$521$	−11.5554	−	20.0146i	−0.506253	−	0.876856i	−0.999974	−	0.00723559i	$-0.997697\pi$
$521$	−11.5554	−	20.0146i	−0.506253	−	0.876856i	0.493721	−	0.869621i	$-0.335637\pi$
$522$	−2.41386	+	2.02547i	−0.105652	+	0.0886524i
$523$	2.13244	+	12.0937i	0.0932452	+	0.528820i	0.995271	+	0.0971376i	$0.0309687\pi$
$523$	2.13244	+	12.0937i	0.0932452	+	0.528820i	−0.902026	+	0.431682i	$0.857920\pi$
$524$	3.61142	−	6.25516i	0.157766	−	0.273258i
$525$	−0.200706	−	1.11879i	−0.00875952	−	0.0488279i
$526$	−3.61727	−	20.5146i	−0.157720	−	0.894477i
$527$	3.37986	−	19.1682i	0.147229	−	0.834978i
$528$	0.741962	+	4.20787i	0.0322897	+	0.183124i
$529$	−17.5329	−	14.7118i	−0.762299	−	0.639645i
$530$	7.55687	+	6.34097i	0.328250	+	0.275434i
$531$	6.28932			0.272933
$532$	8.72376	+	7.54295i	0.378223	+	0.327028i
$533$	37.6076			1.62897
$534$	4.11678	+	3.45439i	0.178151	+	0.149486i
$535$	−23.3786	−	19.6169i	−1.01074	−	0.848114i
$536$	−0.107212	−	0.608032i	−0.00463087	−	0.0262630i
$537$	0.921810	−	5.22785i	0.0397791	−	0.225598i
$538$	2.52798	+	14.3369i	0.108989	+	0.618107i
$539$	5.01839	−	29.4855i	0.216158	−	1.27003i
$540$	1.06892	−	1.85143i	0.0459991	−	0.0796728i
$541$	−5.29572	−	30.0335i	−0.227681	−	1.29124i	−0.857493	−	0.514495i	$-0.827979\pi$
$541$	−5.29572	−	30.0335i	−0.227681	−	1.29124i	0.629813	−	0.776747i	$-0.283132\pi$
$542$	17.8240	−	14.9561i	0.765605	−	0.642419i
$543$	−2.20380	−	3.81709i	−0.0945740	−	0.163807i
$544$	3.37083	−	5.83845i	0.144523	−	0.250321i
$545$	6.15000	+	34.8784i	0.263437	+	1.49402i
$546$	9.41689	−	0.0280137i	0.403006	−	0.00119887i
$547$	11.7131	−	9.82849i	0.500818	−	0.420236i	−0.357067	−	0.934079i	$-0.616223\pi$
$547$	11.7131	−	9.82849i	0.500818	−	0.420236i	0.857884	+	0.513843i	$0.171779\pi$
$548$	6.78562	−	2.46976i	0.289867	−	0.105503i
$549$	−2.44302	+	13.8551i	−0.104266	+	0.591320i
$550$	0.917821	−	1.58971i	0.0391360	−	0.0677856i
$551$	−10.6771	+	8.64037i	−0.454858	+	0.368092i
$552$	0.335328			0.0142725
$553$	10.3343	−	0.0307428i	0.439459	−	0.00130732i
$554$	−1.05061	+	5.95832i	−0.0446362	+	0.253145i
$555$	−12.2535	−	4.45992i	−0.520133	−	0.189313i
$556$	−12.2337	+	4.45269i	−0.518823	+	0.188836i
$557$	21.7664	+	7.92231i	0.922270	+	0.335679i	0.759141	−	0.650926i	$-0.225619\pi$
$557$	21.7664	+	7.92231i	0.922270	+	0.335679i	0.163129	+	0.986605i	$0.447841\pi$
$558$	1.44355	−	2.50030i	0.0611103	−	0.105846i
$559$	14.1175	−	24.4522i	0.597105	−	1.03422i
$560$	−0.965616	+	5.57318i	−0.0408047	+	0.235510i
$561$	27.0685	+	9.85213i	1.14283	+	0.415957i
$562$	16.3758			0.690772
$563$	−0.424757			−0.0179014			−0.00895070	−	0.999960i	$-0.502849\pi$
$563$	−0.424757			−0.0179014			−0.00895070	+	0.999960i	$0.502849\pi$
$564$	2.91877	+	1.06235i	0.122902	+	0.0447328i
$565$	3.10527	−	17.6108i	0.130640	−	0.740894i
$566$	−13.5141	+	11.3397i	−0.568040	+	0.476642i
$567$	2.64574	−	0.00787063i	0.111111	−	0.000330535i
$568$	−10.3101	+	3.75257i	−0.432602	+	0.157454i
$569$	19.4766	+	33.7345i	0.816503	+	1.41422i	0.908244	+	0.418441i	$0.137423\pi$
$569$	19.4766	+	33.7345i	0.816503	+	1.41422i	−0.0917413	+	0.995783i	$0.529243\pi$
$570$	4.80206	−	7.98609i	0.201136	−	0.334500i
$571$	−0.985752	+	1.70737i	−0.0412524	+	0.0714513i	−0.885914	−	0.463849i	$-0.846468\pi$
$571$	−0.985752	+	1.70737i	−0.0412524	+	0.0714513i	0.844662	+	0.535300i	$0.179801\pi$
$572$	11.6500	+	9.77551i	0.487111	+	0.408734i
$573$	1.66943	−	9.46782i	0.0697415	−	0.395524i
$574$	−26.2408	+	9.63938i	−1.09527	+	0.402340i
$575$	−0.110357	−	0.0926006i	−0.00460221	−	0.00386171i
$576$	0.766044	−	0.642788i	0.0319185	−	0.0267828i
$577$	−11.0740			−0.461018			−0.230509	−	0.973070i	$-0.574039\pi$
$577$	−11.0740			−0.461018			−0.230509	+	0.973070i	$0.574039\pi$
$578$	−14.2250	−	24.6384i	−0.591682	−	1.02482i
$579$	−3.85173	−	21.8442i	−0.160072	−	0.907816i
$580$	−6.33024	−	2.30402i	−0.262849	−	0.0956692i
$581$	−7.28576	−	40.6127i	−0.302264	−	1.68490i
$582$	−5.64361	−	9.77501i	−0.233935	−	0.405187i
$583$	−15.1035	+	12.6733i	−0.625522	+	0.524875i
$584$	−14.5734	+	5.30428i	−0.603051	+	0.219493i
$585$	−1.32132	−	7.49356i	−0.0546298	−	0.309821i
$586$	−20.5290	+	7.47194i	−0.848045	+	0.308663i
$587$	33.6215	−	12.2372i	1.38771	−	0.505084i	0.463201	−	0.886253i	$-0.346701\pi$
$587$	33.6215	−	12.2372i	1.38771	−	0.505084i	0.924505	+	0.381169i	$0.124479\pi$
$588$	−6.56349	+	2.43323i	−0.270674	+	0.100345i
$589$	6.48504	−	10.7850i	0.267211	−	0.444388i
$590$	6.72280	+	11.6442i	0.276773	+	0.479385i
$591$	−2.32546	+	13.1883i	−0.0956567	+	0.542496i
$592$	−4.67254	−	3.92072i	−0.192040	−	0.161141i
$593$	35.6587	+	12.9787i	1.46433	+	0.532971i	0.946553	−	0.322547i	$-0.104539\pi$
$593$	35.6587	+	12.9787i	1.46433	+	0.532971i	0.517773	+	0.855518i	$0.326761\pi$
$594$	3.27315	+	2.74650i	0.134299	+	0.112690i
$595$	29.2838	+	24.4239i	1.20052	+	1.00128i
$596$	3.34794	+	5.79880i	0.137137	+	0.237528i
$597$	−15.0177			−0.614635
$598$	0.914290	−	0.767181i	0.0373881	−	0.0313723i
$599$	−1.27472	+	1.06961i	−0.0520835	+	0.0437033i	−0.668458	−	0.743750i	$-0.733045\pi$
$599$	−1.27472	+	1.06961i	−0.0520835	+	0.0437033i	0.616374	+	0.787453i	$0.288601\pi$
$600$	−0.429612			−0.0175388
$601$	21.9906	+	38.0888i	0.897015	+	1.55367i	0.831291	+	0.555837i	$0.187602\pi$
$601$	21.9906	+	38.0888i	0.897015	+	1.55367i	0.0657232	+	0.997838i	$0.479065\pi$
$602$	−3.58306	+	20.6801i	−0.146035	+	0.842857i
$603$	−0.472965	−	0.396865i	−0.0192606	−	0.0161616i
$604$	3.59238	+	1.30752i	0.146172	+	0.0532022i
$605$	−11.8842	−	9.97204i	−0.483162	−	0.405421i
$606$	2.21785	−	12.5781i	0.0900941	−	0.510949i
$607$	11.2469	+	19.4803i	0.456499	+	0.790680i	0.998773	−	0.0495220i	$-0.0157698\pi$
$607$	11.2469	+	19.4803i	0.456499	+	0.790680i	−0.542274	+	0.840202i	$0.682436\pi$
$608$	3.38839	−	2.74204i	0.137417	−	0.111205i
$609$	−1.47211	−	8.20595i	−0.0596531	−	0.332522i
$610$	−28.2631	+	10.2869i	−1.14434	+	0.416505i
$611$	10.3887	−	3.78117i	0.420281	−	0.152970i
$612$	−1.17068	−	6.63924i	−0.0473218	−	0.268375i
$613$	25.1935	−	9.16968i	1.01756	−	0.370360i	0.221226	−	0.975223i	$-0.428994\pi$
$613$	25.1935	−	9.16968i	1.01756	−	0.370360i	0.796330	+	0.604863i	$0.206772\pi$
$614$	13.9798	−	11.7304i	0.564179	−	0.473402i
$615$	11.2944	+	19.5624i	0.455432	+	0.788832i
$616$	−10.6344	−	3.83483i	−0.428473	−	0.154510i
$617$	−16.6915	−	6.07523i	−0.671976	−	0.244579i	−0.0165778	−	0.999863i	$-0.505277\pi$
$617$	−16.6915	−	6.07523i	−0.671976	−	0.244579i	−0.655399	+	0.755283i	$0.727499\pi$
$618$	2.75152	+	15.6046i	0.110682	+	0.627711i
$619$	−18.9294	−	32.7866i	−0.760835	−	1.31781i	−0.942421	−	0.334430i	$-0.891456\pi$
$619$	−18.9294	−	32.7866i	−0.760835	−	1.31781i	0.181585	−	0.983375i	$-0.441877\pi$
$620$	6.17218			0.247881
$621$	0.256876	−	0.215545i	0.0103081	−	0.00864951i
$622$	−1.16055	−	0.973817i	−0.0465338	−	0.0390465i
$623$	−13.3465	+	4.90273i	−0.534715	+	0.196424i
$624$	0.618060	−	3.50519i	0.0247422	−	0.140320i
$625$	−17.3642	−	14.5703i	−0.694569	−	0.582812i
$626$	9.35555	−	16.2043i	0.373923	−	0.647653i
$627$	14.0522	+	12.2234i	0.561192	+	0.488157i
$628$	5.86693	+	10.1618i	0.234116	+	0.405501i
$629$	−38.6413	+	14.0643i	−1.54073	+	0.560779i
$630$	2.84266	+	4.88999i	0.113254	+	0.194822i
$631$	−7.97230	+	6.68956i	−0.317372	+	0.266307i	−0.787531	−	0.616275i	$-0.788641\pi$
$631$	−7.97230	+	6.68956i	−0.317372	+	0.266307i	0.470159	+	0.882582i	$0.344197\pi$
$632$	0.678272	−	3.84667i	0.0269802	−	0.153012i
$633$	−2.49295	−	0.907358i	−0.0990857	−	0.0360643i
$634$	19.2890			0.766066
$635$	−24.1306			−0.957596
$636$	4.33608	+	1.57821i	0.171937	+	0.0625799i
$637$	−12.3288	+	21.6506i	−0.488486	+	0.857830i
$638$	6.73193	−	11.6600i	0.266520	−	0.461625i
$639$	−5.48588	+	9.50183i	−0.217018	+	0.375887i
$640$	2.00892	+	0.731187i	0.0794095	+	0.0289027i
$641$	26.7865	−	9.74950i	1.05800	−	0.385082i	0.246326	−	0.969187i	$-0.420777\pi$
$641$	26.7865	−	9.74950i	1.05800	−	0.385082i	0.811678	+	0.584105i	$0.198554\pi$
$642$	−13.4145	−	4.88246i	−0.529426	−	0.192695i
$643$	−1.82107	+	10.3278i	−0.0718161	+	0.407289i	0.927614	+	0.373540i	$0.121856\pi$
$643$	−1.82107	+	10.3278i	−0.0718161	+	0.407289i	−0.999430	+	0.0337497i	$0.989255\pi$
$644$	−0.441309	+	0.769649i	−0.0173900	+	0.0303284i
$645$	16.9591			0.667763
$646$	−4.58759	−	29.0259i	−0.180496	−	1.14201i
$647$	−5.54518	+	9.60453i	−0.218003	+	0.377593i	−0.954197	−	0.299178i	$-0.903288\pi$
$647$	−5.54518	+	9.60453i	−0.218003	+	0.377593i	0.736194	+	0.676770i	$0.236621\pi$
$648$	0.173648	−	0.984808i	0.00682154	−	0.0386869i
$649$	−25.2523	+	9.19108i	−0.991239	+	0.360781i
$650$	−1.17136	+	0.982889i	−0.0459446	+	0.0385521i
$651$	3.83894	+	6.60379i	0.150460	+	0.258823i
$652$	−0.954592	−	5.41376i	−0.0373847	−	0.212019i
$653$	7.37655	−	12.7766i	0.288667	−	0.499985i	−0.684825	−	0.728708i	$-0.740121\pi$
$653$	7.37655	−	12.7766i	0.288667	−	0.499985i	0.973492	+	0.228722i	$0.0734547\pi$
$654$	8.28320	+	14.3469i	0.323899	+	0.561009i
$655$	11.8287	−	9.92549i	0.462187	−	0.387821i
$656$	1.83479	+	10.4056i	0.0716363	+	0.406270i
$657$	−7.75434	+	13.4309i	−0.302525	+	0.523989i
$658$	−6.27957	+	5.30110i	−0.244803	+	0.206658i
$659$	3.96937	+	22.5114i	0.154625	+	0.876921i	0.959128	+	0.282972i	$0.0913205\pi$
$659$	3.96937	+	22.5114i	0.154625	+	0.876921i	−0.804503	+	0.593948i	$0.797568\pi$
$660$	−1.58620	+	8.99579i	−0.0617428	+	0.350161i
$661$	−1.42145	−	8.06147i	−0.0552882	−	0.313555i	0.944604	−	0.328211i	$-0.106446\pi$
$661$	−1.42145	−	8.06147i	−0.0552882	−	0.313555i	−0.999893	+	0.0146562i	$0.995335\pi$
$662$	9.36084	+	7.85468i	0.363819	+	0.305281i
$663$	−18.3815	−	15.4239i	−0.713879	−	0.599016i
$664$	−15.5952			−0.605212
$665$	12.0100	+	21.5319i	0.465728	+	0.834970i
$666$	−6.09956			−0.236353
$667$	−0.809435	−	0.679196i	−0.0313414	−	0.0262986i
$668$	3.40483	+	2.85699i	0.131737	+	0.110540i
$669$	4.77539	+	27.0826i	0.184627	+	1.04707i
$670$	0.229204	−	1.29988i	0.00885492	−	0.0502187i
$671$	−10.4385	−	59.1998i	−0.402975	−	2.28538i
$672$	0.467179	+	2.60418i	0.0180218	+	0.100458i
$673$	−17.5988	+	30.4820i	−0.678383	+	1.17499i	0.297084	+	0.954851i	$0.403986\pi$
$673$	−17.5988	+	30.4820i	−0.678383	+	1.17499i	−0.975468	+	0.220143i	$0.929348\pi$
$674$	−1.05431	−	5.97928i	−0.0406104	−	0.230313i
$675$	−0.329102	+	0.276149i	−0.0126671	+	0.0106290i
$676$	0.165812	+	0.287195i	0.00637739	+	0.0110460i
$677$	−21.0253	+	36.4169i	−0.808068	+	1.39961i	0.106132	+	0.994352i	$0.466153\pi$
$677$	−21.0253	+	36.4169i	−0.808068	+	1.39961i	−0.914200	+	0.405263i	$0.867180\pi$
$678$	−1.45252	−	8.23765i	−0.0557837	−	0.316365i
$679$	29.8630	−	0.0888374i	1.14604	−	0.00340927i
$680$	11.0407	−	9.26426i	0.423392	−	0.355268i
$681$	9.02238	−	3.28388i	0.345738	−	0.125838i
$682$	−2.14212	+	12.1486i	−0.0820259	+	0.465192i
$683$	−7.58143	+	13.1314i	−0.290095	+	0.502460i	−0.973832	−	0.227269i	$-0.927020\pi$
$683$	−7.58143	+	13.1314i	−0.290095	+	0.502460i	0.683737	+	0.729729i	$0.260354\pi$
$684$	0.833107	−	4.27854i	0.0318546	−	0.163594i
$685$	15.4376			0.589841
$686$	3.05311	−	18.2669i	0.116568	−	0.697432i
$687$	−1.83782	+	10.4228i	−0.0701172	+	0.397654i
$688$	7.45438	+	2.71317i	0.284196	+	0.103439i
$689$	15.4333	−	5.61725i	0.587961	−	0.214000i
$690$	0.673646	+	0.245187i	0.0256453	+	0.00933412i
$691$	−0.626507	+	1.08514i	−0.0238334	+	0.0412807i	−0.877696	−	0.479218i	$-0.840920\pi$
$691$	−0.626507	+	1.08514i	−0.0238334	+	0.0412807i	0.853863	+	0.520498i	$0.174254\pi$
$692$	9.59152	−	16.6130i	0.364615	−	0.631532i
$693$	−10.6114	+	3.89803i	−0.403095	+	0.148074i
$694$	8.18070	+	2.97753i	0.310535	+	0.113026i
$695$	−27.8322			−1.05574
$696$	−3.15107			−0.119441
$697$	66.9372	+	24.3632i	2.53543	+	0.922820i
$698$	1.40380	−	7.96136i	0.0531347	−	0.301342i
$699$	−12.8736	+	10.8022i	−0.486925	+	0.408579i
$700$	0.565393	−	0.986052i	0.0213698	−	0.0372693i
$701$	19.3233	−	7.03309i	0.729830	−	0.265636i	0.0497370	−	0.998762i	$-0.484162\pi$
$701$	19.3233	−	7.03309i	0.729830	−	0.265636i	0.680093	+	0.733126i	$0.261939\pi$
$702$	−1.77963	−	3.08241i	−0.0671679	−	0.116338i
$703$	−26.5832	−	0.472646i	−1.00260	−	0.0178262i
$704$	−2.13639	+	3.70034i	−0.0805184	+	0.139462i
$705$	5.08680	+	4.26833i	0.191580	+	0.160755i
$706$	4.31867	−	24.4924i	0.162535	−	0.921783i
$707$	25.9505	+	21.6439i	0.975971	+	0.814001i
$708$	4.81790	+	4.04269i	0.181068	+	0.151934i
$709$	37.7164	−	31.6479i	1.41647	−	1.18856i	0.463272	−	0.886216i	$-0.346675\pi$
$709$	37.7164	−	31.6479i	1.41647	−	1.18856i	0.953199	−	0.302344i	$-0.0977692\pi$
$710$	−23.4560			−0.880286
$711$	−1.95301	−	3.38271i	−0.0732435	−	0.126861i
$712$	0.933199	+	5.29243i	0.0349731	+	0.198342i
$713$	0.909740	+	0.331118i	0.0340700	+	0.0124005i
$714$	16.7791	+	6.05064i	0.627944	+	0.226440i
$715$	16.2562	+	28.1565i	0.607946	+	1.05299i
$716$	4.06654	−	3.41223i	0.151974	−	0.127521i
$717$	14.8085	−	5.38986i	0.553034	−	0.201288i
$718$	−0.102952	−	0.583871i	−0.00384214	−	0.0217899i
$719$	25.2598	−	9.19382i	0.942032	−	0.342872i	0.175064	−	0.984557i	$-0.443987\pi$
$719$	25.2598	−	9.19382i	0.942032	−	0.342872i	0.766968	+	0.641685i	$0.221764\pi$
$720$	2.00892	−	0.731187i	0.0748680	−	0.0272497i
$721$	−39.4371	−	14.2212i	−1.46872	−	0.529626i
$722$	3.96239	−	18.5822i	0.147465	−	0.691559i
$723$	2.13241	+	3.69345i	0.0793053	+	0.137361i
$724$	0.765371	−	4.34063i	0.0284448	−	0.161318i
$725$	1.03702	+	0.870166i	0.0385141	+	0.0323172i
$726$	−6.81908	−	2.48194i	−0.253080	−	0.0921135i
$727$	−6.03998	−	5.06815i	−0.224010	−	0.187967i	0.523874	−	0.851795i	$-0.324486\pi$
$727$	−6.03998	−	5.06815i	−0.224010	−	0.187967i	−0.747885	+	0.663828i	$0.768931\pi$
$728$	7.23176	+	6.03160i	0.268027	+	0.223546i
$729$	−0.500000	−	0.866025i	−0.0185185	−	0.0320750i
$730$	−33.1552			−1.22713
$731$	40.9682	−	34.3764i	1.51526	−	1.27146i
$732$	−10.7773	+	9.04326i	−0.398342	+	0.334248i
$733$	19.3017			0.712924			0.356462	−	0.934310i	$-0.383983\pi$
$733$	19.3017			0.712924			0.356462	+	0.934310i	$0.383983\pi$
$734$	0.419202	+	0.726079i	0.0154730	+	0.0268001i
$735$	−14.9647	+	0.0890354i	−0.551980	+	0.00328412i
$736$	0.256876	+	0.215545i	0.00946858	+	0.00794508i
$737$	2.47898	+	0.902273i	0.0913142	+	0.0332357i
$738$	8.09411	+	6.79176i	0.297948	+	0.250008i
$739$	4.97230	−	28.1993i	0.182909	−	1.03733i	−0.745703	−	0.666278i	$-0.767886\pi$
$739$	4.97230	−	28.1993i	0.182909	−	1.03733i	0.928612	−	0.371051i	$-0.121003\pi$
$740$	−6.51996	−	11.2929i	−0.239679	−	0.415136i
$741$	−7.51716	−	13.5717i	−0.276150	−	0.498569i
$742$	−9.32883	+	7.87523i	−0.342472	+	0.289109i
$743$	−38.9250	+	14.1675i	−1.42802	+	0.519756i	−0.936363	−	0.351033i	$-0.885830\pi$
$743$	−38.9250	+	14.1675i	−1.42802	+	0.519756i	−0.491656	+	0.870789i	$0.663608\pi$
$744$	2.71299	−	0.987446i	0.0994629	−	0.0362015i
$745$	2.48573	+	14.0973i	0.0910701	+	0.516484i
$746$	−4.93080	+	1.79466i	−0.180529	+	0.0657073i
$747$	−11.9466	+	10.0244i	−0.437105	+	0.366774i
$748$	14.4028	+	24.9465i	0.526620	+	0.912133i
$749$	28.8604	−	24.3634i	1.05454	−	0.890221i
$750$	−10.9076	−	3.97006i	−0.398291	−	0.144966i
$751$	1.81809	+	10.3109i	0.0663429	+	0.376249i	0.999844	+	0.0176742i	$0.00562615\pi$
$751$	1.81809	+	10.3109i	0.0663429	+	0.376249i	−0.933501	+	0.358575i	$0.883263\pi$
$752$	1.55305	+	2.68995i	0.0566338	+	0.0980926i
$753$	−15.8672			−0.578234
$754$	−8.59157	+	7.20918i	−0.312887	+	0.262543i
$755$	6.26075	+	5.25340i	0.227852	+	0.191191i
$756$	2.03181	+	1.69462i	0.0738963	+	0.0616327i
$757$	7.12911	−	40.4312i	0.259112	−	1.46950i	−0.526182	−	0.850372i	$-0.676377\pi$
$757$	7.12911	−	40.4312i	0.259112	−	1.46950i	0.785294	−	0.619124i	$-0.212512\pi$
$758$	−28.7709	−	24.1417i	−1.04501	−	0.876865i
$759$	−0.716392	+	1.24083i	−0.0260034	+	0.0450392i
$760$	8.81195	−	3.03100i	0.319643	−	0.109946i
$761$	−3.31633	−	5.74405i	−0.120217	−	0.208222i	0.799636	−	0.600485i	$-0.205026\pi$
$761$	−3.31633	−	5.74405i	−0.120217	−	0.208222i	−0.919853	+	0.392263i	$0.871692\pi$
$762$	−10.6067	+	3.86051i	−0.384238	+	0.139851i
$763$	−43.8304	+	0.130388i	−1.58677	+	0.00472036i
$764$	7.36465	−	6.17968i	0.266444	−	0.223573i
$765$	2.50273	−	14.1937i	0.0904863	−	0.513173i
$766$	17.8477	+	6.49603i	0.644863	+	0.234711i
$767$	22.3853			0.808288
$768$	1.00000			0.0360844
$769$	−30.8562	−	11.2307i	−1.11270	−	0.404991i	−0.280719	−	0.959790i	$-0.590573\pi$
$769$	−30.8562	−	11.2307i	−1.11270	−	0.404991i	−0.831984	+	0.554799i	$0.812795\pi$
$770$	−18.5597	−	15.4796i	−0.668846	−	0.557846i
$771$	10.4937	−	18.1757i	0.377922	−	0.654580i
$772$	11.0906	−	19.2095i	0.399160	−	0.691365i
$773$	−2.71172	−	0.986985i	−0.0975338	−	0.0354994i	0.292792	−	0.956176i	$-0.405416\pi$
$773$	−2.71172	−	0.986985i	−0.0975338	−	0.0354994i	−0.390326	+	0.920677i	$0.627638\pi$
$774$	7.45438	−	2.71317i	0.267942	−	0.0975230i
$775$	−1.16553	−	0.424219i	−0.0418672	−	0.0152384i
$776$	1.96000	−	11.1157i	0.0703600	−	0.399032i
$777$	8.02735	−	13.9998i	0.287980	−	0.502240i
$778$	2.69838			0.0967417
$779$	34.7495	+	30.2271i	1.24503	+	1.08300i
$780$	3.80458	−	6.58973i	0.136226	−	0.235950i
$781$	8.14063	−	46.1678i	0.291295	−	1.65201i
$782$	2.12433	−	0.773194i	0.0759660	−	0.0276493i
$783$	−2.41386	+	2.02547i	−0.0862643	+	0.0723844i
$784$	−6.59198	−	2.35496i	−0.235428	−	0.0841058i
$785$	4.35600	+	24.7041i	0.155472	+	0.881727i
$786$	3.61142	−	6.25516i	0.128815	−	0.223114i
$787$	10.5907	+	18.3436i	0.377517	+	0.653878i	0.990700	−	0.136062i	$-0.0434447\pi$
$787$	10.5907	+	18.3436i	0.377517	+	0.653878i	−0.613183	+	0.789941i	$0.710111\pi$
$788$	−10.2587	+	8.60808i	−0.365451	+	0.306650i
$789$	−3.61727	−	20.5146i	−0.128778	−	0.730338i
$790$	4.17523	−	7.23171i	0.148548	−	0.257293i
$791$	20.8188	+	7.50735i	0.740230	+	0.266931i
$792$	0.741962	+	4.20787i	0.0263645	+	0.149520i
$793$	−8.69537	+	49.3139i	−0.308782	+	1.75119i
$794$	0.454857	+	2.57962i	0.0161423	+	0.0915474i
$795$	7.55687	+	6.34097i	0.268015	+	0.224891i
$796$	−11.5042	−	9.65321i	−0.407757	−	0.342149i
$797$	52.2175			1.84964			0.924820	−	0.380405i	$-0.124215\pi$
$797$	52.2175			1.84964			0.924820	+	0.380405i	$0.124215\pi$
$798$	8.72376	+	7.54295i	0.308818	+	0.267018i
$799$	20.9402			0.740812
$800$	−0.329102	−	0.276149i	−0.0116355	−	0.00976336i
$801$	4.11678	+	3.45439i	0.145459	+	0.122055i
$802$	−4.88849	−	27.7240i	−0.172619	−	0.978970i
$803$	11.5068	−	65.2585i	0.406068	−	2.30292i
$804$	−0.107212	−	0.608032i	−0.00378109	−	0.0214436i
$805$	−1.44931	+	1.22348i	−0.0510815	+	0.0431221i
$806$	5.13798	−	8.89924i	0.180978	−	0.313462i
$807$	2.52798	+	14.3369i	0.0889891	+	0.504682i
$808$	9.78400	−	8.20975i	0.344200	−	0.288818i
$809$	−5.70268	−	9.87733i	−0.200496	−	0.347268i	0.748193	−	0.663482i	$-0.230922\pi$
$809$	−5.70268	−	9.87733i	−0.200496	−	0.347268i	−0.948688	+	0.316213i	$0.897589\pi$
$810$	1.06892	−	1.85143i	0.0375581	−	0.0650526i
$811$	8.83863	+	50.1264i	0.310366	+	1.76017i	0.597103	+	0.802165i	$0.296319\pi$
$811$	8.83863	+	50.1264i	0.310366	+	1.76017i	−0.286736	+	0.958010i	$0.592570\pi$
$812$	4.14698	−	7.23238i	0.145530	−	0.253807i
$813$	17.8240	−	14.9561i	0.625114	−	0.524533i
$814$	24.4904	−	8.91378i	0.858388	−	0.312428i
$815$	2.04077	−	11.5738i	0.0714851	−	0.405412i
$816$	3.37083	−	5.83845i	0.118003	−	0.204387i
$817$	32.6980	−	11.2470i	1.14396	−	0.393481i
$818$	−12.5272			−0.438002
$819$	9.41689	−	0.0280137i	0.329053	−	0.000978876i
$820$	−3.92249	+	22.2455i	−0.136979	+	0.776848i
$821$	−0.273206	−	0.0994390i	−0.00953497	−	0.00347044i	0.337248	−	0.941416i	$-0.390504\pi$
$821$	−0.273206	−	0.0994390i	−0.00953497	−	0.00347044i	−0.346783	+	0.937945i	$0.612726\pi$
$822$	6.78562	−	2.46976i	0.236676	−	0.0861429i
$823$	1.30615	+	0.475398i	0.0455294	+	0.0165713i	0.364684	−	0.931131i	$-0.381177\pi$
$823$	1.30615	+	0.475398i	0.0455294	+	0.0165713i	−0.319155	+	0.947703i	$0.603399\pi$
$824$	−7.92269	+	13.7225i	−0.276000	+	0.478046i
$825$	0.917821	−	1.58971i	0.0319544	−	0.0553467i
$826$	−15.6195	+	5.73769i	−0.543470	+	0.199640i
$827$	12.4481	+	4.53075i	0.432864	+	0.157550i	0.549257	−	0.835654i	$-0.314911\pi$
$827$	12.4481	+	4.53075i	0.432864	+	0.157550i	−0.116393	+	0.993203i	$0.537133\pi$
$828$	0.335328			0.0116534
$829$	13.5927			0.472093			0.236047	−	0.971742i	$-0.424148\pi$
$829$	13.5927			0.472093			0.236047	+	0.971742i	$0.424148\pi$
$830$	−31.3295	−	11.4030i	−1.08746	−	0.395805i
$831$	−1.05061	+	5.95832i	−0.0364453	+	0.206692i
$832$	2.72656	−	2.28785i	0.0945263	−	0.0793170i
$833$	−35.9698	+	30.5487i	−1.24628	+	1.05845i
$834$	−12.2337	+	4.45269i	−0.423617	+	0.154184i
$835$	4.75103	+	8.22903i	0.164416	+	0.284777i
$836$	2.90756	+	18.3963i	0.100560	+	0.636249i
$837$	1.44355	−	2.50030i	0.0498964	−	0.0864231i
$838$	22.1912	+	18.6206i	0.766581	+	0.643238i
$839$	−1.78952	+	10.1489i	−0.0617812	+	0.350379i	0.938210	+	0.346068i	$0.112483\pi$
$839$	−1.78952	+	10.1489i	−0.0617812	+	0.350379i	−0.999991	+	0.00431077i	$0.998628\pi$
$840$	−0.965616	+	5.57318i	−0.0333169	+	0.192293i
$841$	−14.6090	−	12.2584i	−0.503760	−	0.422705i
$842$	−14.8063	+	12.4240i	−0.510260	+	0.428159i
$843$	16.3758			0.564013
$844$	−1.32647	−	2.29751i	−0.0456590	−	0.0790836i
$845$	0.123110	+	0.698192i	0.00423511	+	0.0240185i
$846$	2.91877	+	1.06235i	0.100349	+	0.0365242i
$847$	14.6709	−	12.3849i	0.504097	−	0.425549i
$848$	2.30718	+	3.99616i	0.0792289	+	0.137229i
$849$	−13.5141	+	11.3397i	−0.463803	+	0.389177i
$850$	−2.72163	+	0.990593i	−0.0933512	+	0.0339771i
$851$	−0.355172	−	2.01428i	−0.0121751	−	0.0690486i
$852$	−10.3101	+	3.75257i	−0.353218	+	0.128561i
$853$	−12.0050	+	4.36945i	−0.411042	+	0.149607i	−0.539261	−	0.842139i	$-0.681296\pi$
$853$	−12.0050	+	4.36945i	−0.411042	+	0.149607i	0.128219	+	0.991746i	$0.459074\pi$
$854$	−6.57265	−	36.6377i	−0.224912	−	1.25372i
$855$	4.80206	−	7.98609i	0.164227	−	0.273118i
$856$	−7.13768	−	12.3628i	−0.243961	−	0.422553i
$857$	−0.951398	+	5.39565i	−0.0324991	+	0.184312i	−0.996736	−	0.0807303i	$-0.974275\pi$
$857$	−0.951398	+	5.39565i	−0.0324991	+	0.184312i	0.964237	+	0.265042i	$0.0853859\pi$
$858$	11.6500	+	9.77551i	0.397724	+	0.333730i
$859$	18.3721	+	6.68690i	0.626849	+	0.228154i	0.635859	−	0.771805i	$-0.280646\pi$
$859$	18.3721	+	6.68690i	0.626849	+	0.228154i	−0.00901046	+	0.999959i	$0.502868\pi$
$860$	12.9914	+	10.9011i	0.443004	+	0.371724i
$861$	−26.2408	+	9.63938i	−0.894285	+	0.328509i
$862$	3.60952	+	6.25187i	0.122941	+	0.212940i
$863$	42.1591			1.43511			0.717557	−	0.696500i	$-0.245260\pi$
$863$	42.1591			1.43511			0.717557	+	0.696500i	$0.245260\pi$
$864$	0.766044	−	0.642788i	0.0260614	−	0.0218681i
$865$	31.4158	−	26.3610i	1.06817	−	0.896300i
$866$	−26.1047			−0.887074
$867$	−14.2250	−	24.6384i	−0.483106	−	0.836765i
$868$	−1.30404	+	7.52642i	−0.0442619	+	0.255463i
$869$	12.7849	+	10.7278i	0.433700	+	0.363917i
$870$	−6.33024	−	2.30402i	−0.214615	−	0.0781136i
$871$	−1.68341	−	1.41255i	−0.0570401	−	0.0478623i
$872$	−2.87672	+	16.3147i	−0.0974182	+	0.552486i
$873$	−5.64361	−	9.77501i	−0.191007	−	0.330834i
$874$	1.46143	+	0.0259841i	0.0494336	+	0.000878924i
$875$	23.4672	−	19.8106i	0.793336	−	0.669719i
$876$	−14.5734	+	5.30428i	−0.492389	+	0.179215i
$877$	41.5530	−	15.1241i	1.40315	−	0.510703i	0.474035	−	0.880506i	$-0.342797\pi$
$877$	41.5530	−	15.1241i	1.40315	−	0.510703i	0.929110	+	0.369803i	$0.120575\pi$
$878$	−0.995122	−	5.64362i	−0.0335838	−	0.190463i
$879$	−20.5290	+	7.47194i	−0.692426	+	0.252022i
$880$	−6.99748	+	5.87158i	−0.235885	+	0.197931i
$881$	−2.18527	−	3.78500i	−0.0736237	−	0.127520i	0.826863	−	0.562403i	$-0.190123\pi$
$881$	−2.18527	−	3.78500i	−0.0736237	−	0.127520i	−0.900487	+	0.434883i	$0.856790\pi$
$882$	−6.56349	+	2.43323i	−0.221004	+	0.0819313i
$883$	−2.14045	−	0.779059i	−0.0720318	−	0.0262174i	0.305753	−	0.952111i	$-0.401092\pi$
$883$	−2.14045	−	0.779059i	−0.0720318	−	0.0262174i	−0.377785	+	0.925893i	$0.623314\pi$
$884$	−4.16675	−	23.6308i	−0.140143	−	0.794791i
$885$	6.72280	+	11.6442i	0.225984	+	0.391416i
$886$	8.19848			0.275433
$887$	−16.6886	+	14.0034i	−0.560347	+	0.470187i	−0.878427	−	0.477877i	$-0.841406\pi$
$887$	−16.6886	+	14.0034i	−0.560347	+	0.470187i	0.318080	+	0.948064i	$0.396962\pi$
$888$	−4.67254	−	3.92072i	−0.156800	−	0.131571i
$889$	5.09824	−	29.4252i	0.170989	−	0.986888i
$890$	−1.99504	+	11.3144i	−0.0668737	+	0.379260i
$891$	3.27315	+	2.74650i	0.109654	+	0.0920110i
$892$	−13.7502	+	23.8160i	−0.460390	+	0.797419i
$893$	12.6383	+	4.85610i	0.422925	+	0.162503i
$894$	3.34794	+	5.79880i	0.111972	+	0.193941i
$895$	10.6643	−	3.88150i	0.356469	−	0.129744i
$896$	−1.31605	+	2.29521i	−0.0439663	+	0.0766777i
$897$	0.914290	−	0.767181i	0.0305273	−	0.0256154i
$898$	−2.65706	+	15.0689i	−0.0886672	+	0.502856i
$899$	−8.54881	−	3.11151i	−0.285119	−	0.103775i
$900$	−0.429612			−0.0143204
$901$	31.1085			1.03637
$902$	−42.4241	−	15.4411i	−1.41257	−	0.514132i
$903$	−3.58306	+	20.6801i	−0.119237	+	0.688190i
$904$	4.18237	−	7.24407i	0.139103	−	0.240934i
$905$	4.71138	−	8.16035i	0.156612	−	0.271259i
$906$	3.59238	+	1.30752i	0.119349	+	0.0434394i
$907$	19.6191	−	7.14075i	0.651440	−	0.237105i	0.00490380	−	0.999988i	$-0.498439\pi$
$907$	19.6191	−	7.14075i	0.651440	−	0.237105i	0.646536	+	0.762883i	$0.276217\pi$
$908$	9.02238	+	3.28388i	0.299418	+	0.108979i
$909$	2.21785	−	12.5781i	0.0735616	−	0.417188i
$910$	10.1178	+	17.4048i	0.335402	+	0.576962i
$911$	−32.6614			−1.08212			−0.541061	−	0.840983i	$-0.681977\pi$
$911$	−32.6614			−1.08212			−0.541061	+	0.840983i	$0.681977\pi$
$912$	3.38839	−	2.74204i	0.112201	−	0.0907981i
$913$	33.3175	−	57.7077i	1.10265	−	1.90985i
$914$	−1.91151	+	10.8407i	−0.0632270	+	0.358578i
$915$	−28.2631	+	10.2869i	−0.934349	+	0.340075i
$916$	−8.10750	+	6.80300i	−0.267879	+	0.224777i
$917$	9.60411	+	16.5211i	0.317156	+	0.545575i
$918$	−1.17068	−	6.63924i	−0.0386381	−	0.219128i
$919$	21.0558	−	36.4698i	0.694568	−	1.20303i	−0.275758	−	0.961227i	$-0.588929\pi$
$919$	21.0558	−	36.4698i	0.694568	−	1.20303i	0.970326	−	0.241800i	$-0.0777378\pi$
$920$	0.358440	+	0.620836i	0.0118174	+	0.0204684i
$921$	13.9798	−	11.7304i	0.460650	−	0.386531i
$922$	−2.50912	−	14.2299i	−0.0826335	−	0.468638i
$923$	−19.5257	+	33.8195i	−0.642697	+	1.11318i
$924$	−10.6344	−	3.83483i	−0.349847	−	0.126157i
$925$	0.455036	+	2.58064i	0.0149615	+	0.0848508i
$926$	−1.98678	+	11.2676i	−0.0652897	+	0.370276i
$927$	2.75152	+	15.6046i	0.0903718	+	0.512524i
$928$	−2.41386	−	2.02547i	−0.0792388	−	0.0664893i
$929$	−29.6880	−	24.9112i	−0.974032	−	0.817310i	0.00914640	−	0.999958i	$-0.497089\pi$
$929$	−29.6880	−	24.9112i	−0.974032	−	0.817310i	−0.983178	+	0.182648i	$0.941533\pi$
$930$	6.17218			0.202394
$931$	−28.7936	+	10.0960i	−0.943672	+	0.330881i
$932$	−16.8053			−0.550476
$933$	−1.16055	−	0.973817i	−0.0379947	−	0.0318813i
$934$	9.70863	+	8.14651i	0.317676	+	0.266562i
$935$	10.6936	+	60.6466i	0.349719	+	1.98335i
$936$	0.618060	−	3.50519i	0.0202019	−	0.114571i
$937$	−8.53463	−	48.4023i	−0.278814	−	1.58123i	−0.726579	−	0.687083i	$-0.758891\pi$
$937$	−8.53463	−	48.4023i	−0.278814	−	1.58123i	0.447765	−	0.894151i	$-0.352220\pi$
$938$	1.53666	+	0.554128i	0.0501738	+	0.0180929i
$939$	9.35555	−	16.2043i	0.305307	−	0.528807i
$940$	1.15308	+	6.53947i	0.0376095	+	0.213294i
$941$	28.5427	−	23.9502i	0.930466	−	0.780754i	−0.0454348	−	0.998967i	$-0.514467\pi$
$941$	28.5427	−	23.9502i	0.930466	−	0.780754i	0.975901	+	0.218213i	$0.0700229\pi$
$942$	5.86693	+	10.1618i	0.191155	+	0.331090i
$943$	−1.77156	+	3.06842i	−0.0576898	+	0.0999216i
$944$	1.09213	+	6.19377i	0.0355457	+	0.201590i
$945$	2.84266	+	4.88999i	0.0924719	+	0.159071i
$946$	−25.9652	+	21.7874i	−0.844201	+	0.708368i
$947$	40.7524	−	14.8327i	1.32428	−	0.481997i	0.419450	−	0.907778i	$-0.362223\pi$
$947$	40.7524	−	14.8327i	1.32428	−	0.481997i	0.904826	+	0.425781i	$0.140001\pi$
$948$	0.678272	−	3.84667i	0.0220293	−	0.124934i
$949$	−27.5997	+	47.8042i	−0.895926	+	1.55179i
$950$	−1.87234	−	0.0332900i	−0.0607468	−	0.00108007i
$951$	19.2890			0.625490
$952$	8.96429	+	15.4205i	0.290534	+	0.499781i
$953$	−2.77029	+	15.7111i	−0.0897384	+	0.508932i	0.906495	+	0.422217i	$0.138748\pi$
$953$	−2.77029	+	15.7111i	−0.0897384	+	0.508932i	−0.996233	+	0.0867148i	$0.972363\pi$
$954$	4.33608	+	1.57821i	0.140386	+	0.0510963i
$955$	19.3135	−	7.02953i	0.624970	−	0.227470i
$956$	14.8085	+	5.38986i	0.478942	+	0.174321i
$957$	6.73193	−	11.6600i	0.217612	−	0.376916i
$958$	5.72858	−	9.92220i	0.185082	−	0.320572i
$959$	−3.26161	+	18.8248i	−0.105323	+	0.607884i
$960$	2.00892	+	0.731187i	0.0648376	+	0.0235989i
$961$	−22.6647			−0.731118
$962$	−21.7100			−0.699957
$963$	−13.4145	−	4.88246i	−0.432275	−	0.157335i
$964$	−0.740579	+	4.20003i	−0.0238524	+	0.135274i
$965$	36.3259	−	30.4810i	1.16937	−	0.981219i
$966$	−0.441309	+	0.769649i	−0.0141989	+	0.0247630i
$967$	−1.57235	+	0.572287i	−0.0505632	+	0.0184035i	−0.367178	−	0.930151i	$-0.619676\pi$
$967$	−1.57235	+	0.572287i	−0.0505632	+	0.0184035i	0.316615	+	0.948554i	$0.397454\pi$
$968$	−3.62836	−	6.28450i	−0.116620	−	0.201991i
$969$	−4.58759	−	29.0259i	−0.147375	−	0.932447i
$970$	12.0652	−	20.8975i	0.387389	−	0.670977i
$971$	−45.3340	−	38.0397i	−1.45484	−	1.22075i	−0.928953	−	0.370197i	$-0.879290\pi$
$971$	−45.3340	−	38.0397i	−1.45484	−	1.22075i	−0.525884	−	0.850556i	$-0.676265\pi$
$972$	0.173648	−	0.984808i	0.00556977	−	0.0315877i
$973$	5.88029	−	33.9389i	0.188513	−	1.08803i
$974$	18.8872	+	15.8482i	0.605185	+	0.507810i
$975$	−1.17136	+	0.982889i	−0.0375136	+	0.0314777i
$976$	−14.0688			−0.450332
$977$	−17.1560	−	29.7150i	−0.548868	−	0.950668i	−0.998352	−	0.0573795i	$-0.981726\pi$
$977$	−17.1560	−	29.7150i	−0.548868	−	0.950668i	0.449484	−	0.893288i	$-0.351608\pi$
$978$	−0.954592	−	5.41376i	−0.0305245	−	0.173113i
$979$	−21.5775	−	7.85357i	−0.689620	−	0.251001i
$980$	−11.5208	−	9.55089i	−0.368019	−	0.305092i
$981$	8.28320	+	14.3469i	0.264462	+	0.458062i
$982$	−20.4197	+	17.1342i	−0.651620	+	0.546774i
$983$	−9.71409	+	3.53564i	−0.309831	+	0.112769i	−0.492256	−	0.870450i	$-0.663828\pi$
$983$	−9.71409	+	3.53564i	−0.309831	+	0.112769i	0.182425	+	0.983220i	$0.441605\pi$
$984$	1.83479	+	10.4056i	0.0584908	+	0.331718i
$985$	−26.9030	+	9.79190i	−0.857202	+	0.311996i
$986$	−19.9623	+	7.26569i	−0.635730	+	0.231387i
$987$	−6.27957	+	5.30110i	−0.199881	+	0.168736i
$988$	2.96525	−	15.2285i	0.0943371	−	0.484482i
$989$	1.33004	+	2.30370i	0.0422929	+	0.0732535i
$990$	−1.58620	+	8.99579i	−0.0504128	+	0.285905i
$991$	−1.75090	−	1.46918i	−0.0556191	−	0.0466700i	0.614554	−	0.788874i	$-0.289336\pi$
$991$	−1.75090	−	1.46918i	−0.0556191	−	0.0466700i	−0.670173	+	0.742205i	$0.733780\pi$
$992$	2.71299	+	0.987446i	0.0861374	+	0.0313515i
$993$	9.36084	+	7.85468i	0.297057	+	0.249261i
$994$	4.95569	−	28.6024i	0.157185	−	0.907214i
$995$	−16.0528	−	27.8043i	−0.508908	−	0.881454i
$996$	−15.5952			−0.494154
$997$	−18.6109	+	15.6164i	−0.589413	+	0.494576i	−0.888023	−	0.459799i	$-0.847922\pi$
$997$	−18.6109	+	15.6164i	−0.589413	+	0.494576i	0.298610	+	0.954375i	$0.403477\pi$
$998$	−28.6963	+	24.0790i	−0.908364	+	0.762208i
$999$	−6.09956			−0.192982

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.bp.d.613.2	yes	36
7.2	even	3		798.2.bq.d.499.5	yes	36
19.4	even	9		798.2.bq.d.403.5	yes	36
133.23	even	9	inner	798.2.bp.d.289.2	✓	36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.bp.d.289.2	✓	36	133.23	even	9	inner
798.2.bp.d.613.2	yes	36	1.1	even	1	trivial
798.2.bq.d.403.5	yes	36	19.4	even	9
798.2.bq.d.499.5	yes	36	7.2	even	3

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.bp (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.766044 + 0.642788i) q^{2} +(0.766044 + 0.642788i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.371233 + 2.10537i) q^{5} +(0.173648 + 0.984808i) q^{6} +(-2.48887 - 0.897500i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.173648 + 0.984808i) q^{9} +O(q^{10})\)	\(q+(0.766044 + 0.642788i) q^{2} +(0.766044 + 0.642788i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.371233 + 2.10537i) q^{5} +(0.173648 + 0.984808i) q^{6} +(-2.48887 - 0.897500i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.173648 + 0.984808i) q^{9} +(-1.63769 + 1.37418i) q^{10} +(-2.13639 - 3.70034i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(0.618060 + 3.50519i) q^{13} +(-1.32969 - 2.28734i) q^{14} +(-1.63769 + 1.37418i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-1.17068 + 6.63924i) q^{17} +(-0.500000 + 0.866025i) q^{18} +(-2.24621 + 3.73558i) q^{19} -2.13785 q^{20} +(-1.32969 - 2.28734i) q^{21} +(0.741962 - 4.20787i) q^{22} +(-0.315105 - 0.114689i) q^{23} +(-0.939693 + 0.342020i) q^{24} +(0.403704 + 0.146936i) q^{25} +(-1.77963 + 3.08241i) q^{26} +(-0.500000 + 0.866025i) q^{27} +(0.451677 - 2.60691i) q^{28} +(2.96104 + 1.07773i) q^{29} -2.13785 q^{30} -2.88710 q^{31} +(-0.939693 - 0.342020i) q^{32} +(0.741962 - 4.20787i) q^{33} +(-5.16441 + 4.33346i) q^{34} +(2.81352 - 4.90681i) q^{35} +(-0.939693 + 0.342020i) q^{36} +(3.04978 + 5.28238i) q^{37} +(-4.12188 + 1.41778i) q^{38} +(-1.77963 + 3.08241i) q^{39} +(-1.63769 - 1.37418i) q^{40} +(1.83479 - 10.4056i) q^{41} +(0.451677 - 2.60691i) q^{42} +(-6.07687 - 5.09910i) q^{43} +(3.27315 - 2.74650i) q^{44} -2.13785 q^{45} +(-0.167664 - 0.290402i) q^{46} +(-0.539367 - 3.05890i) q^{47} +(-0.939693 - 0.342020i) q^{48} +(5.38899 + 4.46753i) q^{49} +(0.214806 + 0.372055i) q^{50} +(-5.16441 + 4.33346i) q^{51} +(-3.34462 + 1.21734i) q^{52} +(-0.801276 - 4.54426i) q^{53} +(-0.939693 + 0.342020i) q^{54} +(8.58368 - 3.12421i) q^{55} +(2.02169 - 1.70668i) q^{56} +(-4.12188 + 1.41778i) q^{57} +(1.57554 + 2.72891i) q^{58} +(1.09213 - 6.19377i) q^{59} +(-1.63769 - 1.37418i) q^{60} +(13.2204 + 4.81182i) q^{61} +(-2.21165 - 1.85579i) q^{62} +(0.451677 - 2.60691i) q^{63} +(-0.500000 - 0.866025i) q^{64} -7.60916 q^{65} +(3.27315 - 2.74650i) q^{66} +(-0.472965 + 0.396865i) q^{67} -6.74166 q^{68} +(-0.167664 - 0.290402i) q^{69} +(5.30932 - 1.95034i) q^{70} +(8.40486 + 7.05252i) q^{71} +(-0.939693 - 0.342020i) q^{72} +(11.8803 + 9.96878i) q^{73} +(-1.05918 + 6.00690i) q^{74} +(0.214806 + 0.372055i) q^{75} +(-4.06888 - 1.56341i) q^{76} +(1.99616 + 11.1271i) q^{77} +(-3.34462 + 1.21734i) q^{78} +(-3.67045 + 1.33594i) q^{79} +(-0.371233 - 2.10537i) q^{80} +(-0.939693 + 0.342020i) q^{81} +(8.09411 - 6.79176i) q^{82} +(7.79761 + 13.5059i) q^{83} +(2.02169 - 1.70668i) q^{84} +(-13.5434 - 4.92941i) q^{85} +(-1.37751 - 7.81227i) q^{86} +(1.57554 + 2.72891i) q^{87} +4.27279 q^{88} +(4.11678 - 3.45439i) q^{89} +(-1.63769 - 1.37418i) q^{90} +(1.60764 - 9.27869i) q^{91} +(0.0582291 - 0.330234i) q^{92} +(-2.21165 - 1.85579i) q^{93} +(1.55305 - 2.68995i) q^{94} +(-7.03089 - 6.11587i) q^{95} +(-0.500000 - 0.866025i) q^{96} +(-10.6065 + 3.86045i) q^{97} +(1.25653 + 6.88630i) q^{98} +(3.27315 - 2.74650i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 36 q - 6 q^{5} - 18 q^{8}+O(q^{10}) \) 36 * q - 6 * q^5 - 18 * q^8	\( 36 q - 6 q^{5} - 18 q^{8} + 3 q^{10} + 3 q^{11} - 18 q^{12} + 27 q^{13} + 12 q^{14} + 3 q^{15} + 6 q^{17} - 18 q^{18} - 12 q^{19} - 6 q^{20} + 12 q^{21} - 3 q^{22} - 9 q^{23} + 6 q^{25} + 9 q^{26} - 18 q^{27} + 9 q^{29} - 6 q^{30} + 6 q^{31} - 3 q^{33} - 3 q^{34} - 6 q^{35} + 21 q^{37} - 9 q^{38} + 9 q^{39} + 3 q^{40} - 9 q^{41} + 51 q^{43} + 6 q^{44} - 6 q^{45} + 6 q^{46} - 15 q^{47} + 24 q^{49} - 9 q^{50} - 3 q^{51} - 27 q^{52} + 30 q^{53} + 27 q^{55} - 9 q^{57} + 18 q^{58} + 6 q^{59} + 3 q^{60} + 30 q^{61} - 24 q^{62} - 18 q^{64} - 84 q^{65} + 6 q^{66} + 42 q^{67} - 36 q^{68} + 6 q^{69} - 24 q^{70} + 6 q^{71} + 66 q^{73} - 12 q^{74} - 9 q^{75} - 6 q^{76} + 9 q^{77} - 27 q^{78} + 12 q^{79} - 6 q^{80} - 18 q^{82} + 30 q^{83} + 36 q^{85} - 39 q^{86} + 18 q^{87} - 6 q^{88} + 66 q^{89} + 3 q^{90} - 9 q^{91} - 18 q^{92} - 24 q^{93} + 18 q^{94} - 57 q^{95} - 18 q^{96} + 45 q^{97} + 6 q^{99}+O(q^{100}) \) 36 * q - 6 * q^5 - 18 * q^8 + 3 * q^10 + 3 * q^11 - 18 * q^12 + 27 * q^13 + 12 * q^14 + 3 * q^15 + 6 * q^17 - 18 * q^18 - 12 * q^19 - 6 * q^20 + 12 * q^21 - 3 * q^22 - 9 * q^23 + 6 * q^25 + 9 * q^26 - 18 * q^27 + 9 * q^29 - 6 * q^30 + 6 * q^31 - 3 * q^33 - 3 * q^34 - 6 * q^35 + 21 * q^37 - 9 * q^38 + 9 * q^39 + 3 * q^40 - 9 * q^41 + 51 * q^43 + 6 * q^44 - 6 * q^45 + 6 * q^46 - 15 * q^47 + 24 * q^49 - 9 * q^50 - 3 * q^51 - 27 * q^52 + 30 * q^53 + 27 * q^55 - 9 * q^57 + 18 * q^58 + 6 * q^59 + 3 * q^60 + 30 * q^61 - 24 * q^62 - 18 * q^64 - 84 * q^65 + 6 * q^66 + 42 * q^67 - 36 * q^68 + 6 * q^69 - 24 * q^70 + 6 * q^71 + 66 * q^73 - 12 * q^74 - 9 * q^75 - 6 * q^76 + 9 * q^77 - 27 * q^78 + 12 * q^79 - 6 * q^80 - 18 * q^82 + 30 * q^83 + 36 * q^85 - 39 * q^86 + 18 * q^87 - 6 * q^88 + 66 * q^89 + 3 * q^90 - 9 * q^91 - 18 * q^92 - 24 * q^93 + 18 * q^94 - 57 * q^95 - 18 * q^96 + 45 * q^97 + 6 * q^99

Introduction

L-functions

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