LMFDB - Embedded newform 370.2.v.a.99.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(99,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 5]))

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

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

chi := DirichletCharacter("370.99");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.v (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:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$60$
Relative dimension:	$10$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			99.9
Character	$\chi$	$=$	370.99
Dual form			370.2.v.a.299.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.766044 - 0.642788i) q^{2} +(1.56430 - 1.86427i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-2.11298 - 0.731650i) q^{5} -2.43363i q^{6} +(-0.424051 - 1.16507i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-0.507493 - 2.87813i) q^{9} +O(q^{10})$	\(q+(0.766044 - 0.642788i) q^{2} +(1.56430 - 1.86427i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-2.11298 - 0.731650i) q^{5} -2.43363i q^{6} +(-0.424051 - 1.16507i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-0.507493 - 2.87813i) q^{9} +(-2.08893 + 0.797722i) q^{10} +(2.05882 + 3.56598i) q^{11} +(-1.56430 - 1.86427i) q^{12} +(0.329003 - 1.86587i) q^{13} +(-1.07374 - 0.619922i) q^{14} +(-4.66933 + 2.79463i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(-0.180503 - 1.02368i) q^{17} +(-2.23879 - 1.87857i) q^{18} +(-0.677975 + 0.807980i) q^{19} +(-1.08745 + 1.95383i) q^{20} +(-2.83535 - 1.03198i) q^{21} +(3.86931 + 1.40832i) q^{22} +(2.11101 - 3.65637i) q^{23} +(-2.39665 - 0.422595i) q^{24} +(3.92938 + 3.09192i) q^{25} +(-0.947328 - 1.64082i) q^{26} +(0.163265 + 0.0942609i) q^{27} +(-1.22101 + 0.215297i) q^{28} +(0.476268 - 0.274973i) q^{29} +(-1.78056 + 5.14221i) q^{30} +4.00394i q^{31} +(-0.939693 + 0.342020i) q^{32} +(9.86855 + 1.74009i) q^{33} +(-0.796285 - 0.668162i) q^{34} +(0.0435884 + 2.77203i) q^{35} -2.92253 q^{36} +(5.51596 - 2.56401i) q^{37} +1.05474i q^{38} +(-2.96382 - 3.53214i) q^{39} +(0.422863 + 2.19572i) q^{40} +(-1.42315 + 8.07106i) q^{41} +(-2.83535 + 1.03198i) q^{42} +2.23990 q^{43} +(3.86931 - 1.40832i) q^{44} +(-1.03346 + 6.45275i) q^{45} +(-0.733146 - 4.15788i) q^{46} +(-4.83198 - 2.78975i) q^{47} +(-2.10758 + 1.21681i) q^{48} +(4.18474 - 3.51141i) q^{49} +(4.99753 - 0.157205i) q^{50} +(-2.19078 - 1.26485i) q^{51} +(-1.78039 - 0.648010i) q^{52} +(-0.218996 + 0.601685i) q^{53} +(0.185658 - 0.0327365i) q^{54} +(-1.74120 - 9.04118i) q^{55} +(-0.796956 + 0.949775i) q^{56} +(0.445729 + 2.52785i) q^{57} +(0.188093 - 0.516781i) q^{58} +(-1.41723 + 3.89380i) q^{59} +(1.94136 + 5.08368i) q^{60} +(2.17469 + 0.383456i) q^{61} +(2.57368 + 3.06719i) q^{62} +(-3.13803 + 1.81174i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-2.06034 + 3.70184i) q^{65} +(8.67826 - 5.01040i) q^{66} +(-2.17292 - 5.97005i) q^{67} -1.03948 q^{68} +(-3.51419 - 9.65516i) q^{69} +(1.81522 + 2.09548i) q^{70} +(11.2537 + 9.44296i) q^{71} +(-2.23879 + 1.87857i) q^{72} +2.05742i q^{73} +(2.57736 - 5.50974i) q^{74} +(11.9109 - 2.48869i) q^{75} +(0.677975 + 0.807980i) q^{76} +(3.28158 - 3.91083i) q^{77} +(-4.54083 - 0.800671i) q^{78} +(-5.78610 - 15.8972i) q^{79} +(1.73531 + 1.41021i) q^{80} +(8.66998 - 3.15561i) q^{81} +(4.09778 + 7.09757i) q^{82} +(-17.4390 + 3.07497i) q^{83} +(-1.50866 + 2.61307i) q^{84} +(-0.367578 + 2.29509i) q^{85} +(1.71586 - 1.43978i) q^{86} +(0.232405 - 1.31803i) q^{87} +(2.05882 - 3.56598i) q^{88} +(-2.12819 + 5.84716i) q^{89} +(3.35607 + 5.60739i) q^{90} +(-2.31339 + 0.407913i) q^{91} +(-3.23425 - 2.71386i) q^{92} +(7.46440 + 6.26337i) q^{93} +(-5.49473 + 0.968869i) q^{94} +(2.02371 - 1.21121i) q^{95} +(-0.832349 + 2.28686i) q^{96} +(-4.25243 + 7.36542i) q^{97} +(0.948603 - 5.37980i) q^{98} +(9.21853 - 7.73527i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9}+O(q^{10}) $ 60 * q - 3 * q^5 - 30 * q^8 - 6 * q^9	$ 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9} + 9 q^{10} + 6 q^{11} - 3 q^{13} + 9 q^{14} + 18 q^{15} + 3 q^{17} + 12 q^{18} + 3 q^{19} - 6 q^{20} + 12 q^{21} - 3 q^{22} - 18 q^{23} - 15 q^{25} - 27 q^{26} + 6 q^{30} - 66 q^{33} + 21 q^{34} - 3 q^{35} - 72 q^{36} + 6 q^{37} + 12 q^{39} + 6 q^{40} - 57 q^{41} + 12 q^{42} + 60 q^{43} - 3 q^{44} + 45 q^{45} - 21 q^{46} - 18 q^{47} - 6 q^{49} + 36 q^{50} - 3 q^{52} - 6 q^{53} + 3 q^{55} + 30 q^{57} + 15 q^{58} - 12 q^{59} + 9 q^{60} + 42 q^{61} - 12 q^{62} - 9 q^{63} - 30 q^{64} - 30 q^{65} - 18 q^{67} - 24 q^{68} + 36 q^{69} + 18 q^{71} + 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} + 21 q^{77} + 6 q^{78} - 24 q^{79} - 36 q^{81} + 27 q^{82} + 30 q^{83} + 12 q^{84} + 33 q^{85} - 18 q^{86} - 30 q^{87} + 6 q^{88} + 3 q^{89} - 3 q^{90} + 57 q^{91} + 15 q^{92} + 60 q^{93} + 3 q^{94} - 150 q^{95} + 84 q^{97} - 6 q^{98} - 45 q^{99}+O(q^{100}) $ 60 * q - 3 * q^5 - 30 * q^8 - 6 * q^9 + 9 * q^10 + 6 * q^11 - 3 * q^13 + 9 * q^14 + 18 * q^15 + 3 * q^17 + 12 * q^18 + 3 * q^19 - 6 * q^20 + 12 * q^21 - 3 * q^22 - 18 * q^23 - 15 * q^25 - 27 * q^26 + 6 * q^30 - 66 * q^33 + 21 * q^34 - 3 * q^35 - 72 * q^36 + 6 * q^37 + 12 * q^39 + 6 * q^40 - 57 * q^41 + 12 * q^42 + 60 * q^43 - 3 * q^44 + 45 * q^45 - 21 * q^46 - 18 * q^47 - 6 * q^49 + 36 * q^50 - 3 * q^52 - 6 * q^53 + 3 * q^55 + 30 * q^57 + 15 * q^58 - 12 * q^59 + 9 * q^60 + 42 * q^61 - 12 * q^62 - 9 * q^63 - 30 * q^64 - 30 * q^65 - 18 * q^67 - 24 * q^68 + 36 * q^69 + 18 * q^71 + 12 * q^72 + 3 * q^74 - 78 * q^75 - 3 * q^76 + 21 * q^77 + 6 * q^78 - 24 * q^79 - 36 * q^81 + 27 * q^82 + 30 * q^83 + 12 * q^84 + 33 * q^85 - 18 * q^86 - 30 * q^87 + 6 * q^88 + 3 * q^89 - 3 * q^90 + 57 * q^91 + 15 * q^92 + 60 * q^93 + 3 * q^94 - 150 * q^95 + 84 * q^97 - 6 * q^98 - 45 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{5}{18}\right)$	$-1$

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 $

$2$	0.766044	−	0.642788i	0.541675	−	0.454519i
$2$	0.766044	−	0.642788i	0.541675	−	0.454519i
$3$	1.56430	−	1.86427i	0.903152	−	1.07633i	−0.0935849	−	0.995611i	$-0.529833\pi$
$3$	1.56430	−	1.86427i	0.903152	−	1.07633i	0.996737	−	0.0807229i	$-0.0257229\pi$
$4$	0.173648	−	0.984808i	0.0868241	−	0.492404i
$5$	−2.11298	−	0.731650i	−0.944954	−	0.327204i
$5$	−2.11298	−	0.731650i	−0.944954	−	0.327204i
$6$		−	2.43363i		−	0.993524i
$7$	−0.424051	−	1.16507i	−0.160276	−	0.440356i	0.833396	−	0.552677i	$-0.186394\pi$
$7$	−0.424051	−	1.16507i	−0.160276	−	0.440356i	−0.993672	+	0.112321i	$0.964171\pi$
$8$	−0.500000	−	0.866025i	−0.176777	−	0.306186i
$9$	−0.507493	−	2.87813i	−0.169164	−	0.959378i
$10$	−2.08893	+	0.797722i	−0.660579	+	0.252262i
$11$	2.05882	+	3.56598i	0.620757	+	1.07518i	0.989345	+	0.145590i	$0.0465081\pi$
$11$	2.05882	+	3.56598i	0.620757	+	1.07518i	−0.368588	+	0.929593i	$0.620159\pi$
$12$	−1.56430	−	1.86427i	−0.451576	−	0.538167i
$13$	0.329003	−	1.86587i	0.0912491	−	0.517500i	−0.904583	−	0.426297i	$-0.859818\pi$
$13$	0.329003	−	1.86587i	0.0912491	−	0.517500i	0.995832	−	0.0912025i	$-0.0290711\pi$
$14$	−1.07374	−	0.619922i	−0.286968	−	0.165681i
$15$	−4.66933	+	2.79463i	−1.20562	+	0.721572i
$16$	−0.939693	−	0.342020i	−0.234923	−	0.0855050i
$17$	−0.180503	−	1.02368i	−0.0437784	−	0.248280i	0.955063	−	0.296403i	$-0.0957871\pi$
$17$	−0.180503	−	1.02368i	−0.0437784	−	0.248280i	−0.998841	+	0.0481231i	$0.984676\pi$
$18$	−2.23879	−	1.87857i	−0.527688	−	0.442783i
$19$	−0.677975	+	0.807980i	−0.155538	+	0.185363i	−0.838186	−	0.545384i	$-0.816384\pi$
$19$	−0.677975	+	0.807980i	−0.155538	+	0.185363i	0.682648	+	0.730747i	$0.260828\pi$
$20$	−1.08745	+	1.95383i	−0.243161	+	0.436890i
$21$	−2.83535	−	1.03198i	−0.618724	−	0.225197i
$22$	3.86931	+	1.40832i	0.824941	+	0.300254i
$23$	2.11101	−	3.65637i	0.440176	−	0.762407i	−0.557526	−	0.830159i	$-0.688249\pi$
$23$	2.11101	−	3.65637i	0.440176	−	0.762407i	0.997702	+	0.0677524i	$0.0215828\pi$
$24$	−2.39665	−	0.422595i	−0.489215	−	0.0862618i
$25$	3.92938	+	3.09192i	0.785876	+	0.618385i
$26$	−0.947328	−	1.64082i	−0.185786	−	0.321791i
$27$	0.163265	+	0.0942609i	0.0314203	+	0.0181405i
$28$	−1.22101	+	0.215297i	−0.230749	+	0.0406872i
$29$	0.476268	−	0.274973i	0.0884407	−	0.0510613i	−0.455127	−	0.890426i	$-0.650406\pi$
$29$	0.476268	−	0.274973i	0.0884407	−	0.0510613i	0.543568	+	0.839365i	$0.317073\pi$
$30$	−1.78056	+	5.14221i	−0.325085	+	0.938834i
$31$			4.00394i			0.719128i	0.933120	+	0.359564i	$0.117075\pi$
$31$			4.00394i			0.719128i	−0.933120	+	0.359564i	$0.882925\pi$
$32$	−0.939693	+	0.342020i	−0.166116	+	0.0604612i
$33$	9.86855	+	1.74009i	1.71789	+	0.302911i
$34$	−0.796285	−	0.668162i	−0.136562	−	0.114589i
$35$	0.0435884	+	2.77203i	0.00736778	+	0.468559i
$36$	−2.92253			−0.487089
$37$	5.51596	−	2.56401i	0.906819	−	0.421520i
$37$	5.51596	−	2.56401i	0.906819	−	0.421520i
$38$			1.05474i			0.171102i
$39$	−2.96382	−	3.53214i	−0.474591	−	0.565595i
$40$	0.422863	+	2.19572i	0.0668606	+	0.347174i
$41$	−1.42315	+	8.07106i	−0.222258	+	1.26049i	0.645600	+	0.763676i	$0.276607\pi$
$41$	−1.42315	+	8.07106i	−0.222258	+	1.26049i	−0.867858	+	0.496812i	$0.834504\pi$
$42$	−2.83535	+	1.03198i	−0.437504	+	0.159238i
$43$	2.23990			0.341582			0.170791	−	0.985307i	$-0.445368\pi$
$43$	2.23990			0.341582			0.170791	+	0.985307i	$0.445368\pi$
$44$	3.86931	−	1.40832i	0.583321	−	0.212312i
$45$	−1.03346	+	6.45275i	−0.154060	+	0.961919i
$46$	−0.733146	−	4.15788i	−0.108096	−	0.613045i
$47$	−4.83198	−	2.78975i	−0.704817	−	0.406926i	0.104322	−	0.994544i	$-0.466733\pi$
$47$	−4.83198	−	2.78975i	−0.704817	−	0.406926i	−0.809139	+	0.587617i	$0.800066\pi$
$48$	−2.10758	+	1.21681i	−0.304203	+	0.175632i
$49$	4.18474	−	3.51141i	0.597820	−	0.501630i
$50$	4.99753	−	0.157205i	0.706757	−	0.0222321i
$51$	−2.19078	−	1.26485i	−0.306771	−	0.177114i
$52$	−1.78039	−	0.648010i	−0.246896	−	0.0898629i
$53$	−0.218996	+	0.601685i	−0.0300813	+	0.0826478i	−0.953824	−	0.300365i	$-0.902891\pi$
$53$	−0.218996	+	0.601685i	−0.0300813	+	0.0826478i	0.923743	+	0.383013i	$0.125114\pi$
$54$	0.185658	−	0.0327365i	0.0252648	−	0.00445487i
$55$	−1.74120	−	9.04118i	−0.234783	−	1.21911i
$56$	−0.796956	+	0.949775i	−0.106498	+	0.126919i
$57$	0.445729	+	2.52785i	0.0590382	+	0.334822i
$58$	0.188093	−	0.516781i	0.0246978	−	0.0678566i
$59$	−1.41723	+	3.89380i	−0.184507	+	0.506929i	−0.997117	−	0.0758787i	$-0.975824\pi$
$59$	−1.41723	+	3.89380i	−0.184507	+	0.506929i	0.812610	+	0.582808i	$0.198046\pi$
$60$	1.94136	+	5.08368i	0.250628	+	0.656300i
$61$	2.17469	+	0.383456i	0.278440	+	0.0490965i	0.311124	−	0.950369i	$-0.399294\pi$
$61$	2.17469	+	0.383456i	0.278440	+	0.0490965i	−0.0326843	+	0.999466i	$0.510406\pi$
$62$	2.57368	+	3.06719i	0.326858	+	0.389534i
$63$	−3.13803	+	1.81174i	−0.395355	+	0.228258i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	−2.06034	+	3.70184i	−0.255554	+	0.459156i
$66$	8.67826	−	5.01040i	1.06822	−	0.616737i
$67$	−2.17292	−	5.97005i	−0.265464	−	0.729358i	−0.998776	−	0.0494647i	$-0.984248\pi$
$67$	−2.17292	−	5.97005i	−0.265464	−	0.729358i	0.733311	−	0.679893i	$-0.237974\pi$
$68$	−1.03948			−0.126055
$69$	−3.51419	−	9.65516i	−0.423059	−	1.16235i
$70$	1.81522	+	2.09548i	0.216960	+	0.250458i
$71$	11.2537	+	9.44296i	1.33557	+	1.12067i	0.982742	+	0.184983i	$0.0592230\pi$
$71$	11.2537	+	9.44296i	1.33557	+	1.12067i	0.352824	+	0.935690i	$0.385221\pi$
$72$	−2.23879	+	1.87857i	−0.263844	+	0.221391i
$73$			2.05742i			0.240803i	0.992725	+	0.120401i	$0.0384181\pi$
$73$			2.05742i			0.240803i	−0.992725	+	0.120401i	$0.961582\pi$
$74$	2.57736	−	5.50974i	0.299612	−	0.640494i
$75$	11.9109	−	2.48869i	1.37535	−	0.287370i
$76$	0.677975	+	0.807980i	0.0777691	+	0.0926816i
$77$	3.28158	−	3.91083i	0.373970	−	0.445681i
$78$	−4.54083	−	0.800671i	−0.514148	−	0.0906582i
$79$	−5.78610	−	15.8972i	−0.650987	−	1.78857i	−0.614068	−	0.789253i	$-0.710468\pi$
$79$	−5.78610	−	15.8972i	−0.650987	−	1.78857i	−0.0369188	−	0.999318i	$-0.511754\pi$
$80$	1.73531	+	1.41021i	0.194014	+	0.157666i
$81$	8.66998	−	3.15561i	0.963331	−	0.350624i
$82$	4.09778	+	7.09757i	0.452525	+	0.783796i
$83$	−17.4390	+	3.07497i	−1.91418	+	0.337522i	−0.997998	−	0.0632382i	$-0.979857\pi$
$83$	−17.4390	+	3.07497i	−1.91418	+	0.337522i	−0.916183	+	0.400760i	$0.868746\pi$
$84$	−1.50866	+	2.61307i	−0.164608	+	0.285109i
$85$	−0.367578	+	2.29509i	−0.0398695	+	0.248937i
$86$	1.71586	−	1.43978i	0.185026	−	0.155255i
$87$	0.232405	−	1.31803i	0.0249164	−	0.141308i
$88$	2.05882	−	3.56598i	0.219471	−	0.380135i
$89$	−2.12819	+	5.84716i	−0.225588	+	0.619797i	−0.999916	−	0.0129872i	$-0.995866\pi$
$89$	−2.12819	+	5.84716i	−0.225588	+	0.619797i	0.774328	+	0.632785i	$0.218088\pi$
$90$	3.35607	+	5.60739i	0.353761	+	0.591071i
$91$	−2.31339	+	0.407913i	−0.242509	+	0.0427609i
$92$	−3.23425	−	2.71386i	−0.337194	−	0.282940i
$93$	7.46440	+	6.26337i	0.774022	+	0.649482i
$94$	−5.49473	+	0.968869i	−0.566738	+	0.0999312i
$95$	2.02371	−	1.21121i	0.207628	−	0.124267i
$96$	−0.832349	+	2.28686i	−0.0849513	+	0.233402i
$97$	−4.25243	+	7.36542i	−0.431768	+	0.747845i	−0.997026	−	0.0770699i	$-0.975444\pi$
$97$	−4.25243	+	7.36542i	−0.431768	+	0.747845i	0.565257	+	0.824915i	$0.308777\pi$
$98$	0.948603	−	5.37980i	0.0958234	−	0.543441i
$99$	9.21853	−	7.73527i	0.926498	−	0.777424i
$100$	3.72728	−	3.33277i	0.372728	−	0.333277i
$101$	−9.53610	+	16.5170i	−0.948877	+	1.64350i	−0.201081	+	0.979575i	$0.564446\pi$
$101$	−9.53610	+	16.5170i	−0.948877	+	1.64350i	−0.747796	+	0.663929i	$0.768888\pi$
$102$	−2.49126	+	0.439277i	−0.246672	+	0.0434949i
$103$	5.28086	+	9.14671i	0.520338	+	0.901252i	0.999720	+	0.0236460i	$0.00752746\pi$
$103$	5.28086	+	9.14671i	0.520338	+	0.901252i	−0.479382	+	0.877606i	$0.659139\pi$
$104$	−1.78039	+	0.648010i	−0.174582	+	0.0635426i
$105$	5.23599	+	4.25504i	0.510980	+	0.415249i
$106$	0.218996	+	0.601685i	0.0212707	+	0.0584408i
$107$	17.2801	+	3.04695i	1.67053	+	0.294559i	0.927256	−	0.374429i	$-0.122161\pi$
$107$	17.2801	+	3.04695i	1.67053	+	0.294559i	0.743273	+	0.668988i	$0.233272\pi$
$108$	0.121180	−	0.144416i	0.0116605	−	0.0138964i
$109$	−4.82096	−	5.74539i	−0.461764	−	0.550309i	0.484041	−	0.875046i	$-0.339169\pi$
$109$	−4.82096	−	5.74539i	−0.461764	−	0.550309i	−0.945804	+	0.324737i	$0.894724\pi$
$110$	−7.14540	−	5.80673i	−0.681287	−	0.553650i
$111$	3.84866	−	14.2941i	0.365298	−	1.35674i
$112$			1.23984i			0.117154i
$113$	−14.9596	+	12.5526i	−1.40728	+	1.18085i	−0.449520	+	0.893270i	$0.648405\pi$
$113$	−14.9596	+	12.5526i	−1.40728	+	1.18085i	−0.957758	+	0.287576i	$0.907151\pi$
$114$	1.96632	+	1.64994i	0.184163	+	0.154531i
$115$	−7.13571	+	6.18133i	−0.665408	+	0.576412i
$116$	−0.188093	−	0.516781i	−0.0174640	−	0.0479819i
$117$	−5.53720			−0.511914
$118$	1.41723	+	3.89380i	0.130466	+	0.358453i
$119$	−1.11612	+	0.644394i	−0.102315	+	0.0590715i
$120$	4.75489	+	2.64645i	0.434060	+	0.241586i
$121$	−2.97747	+	5.15714i	−0.270680	+	0.468831i
$122$	1.91239	−	1.10412i	0.173139	−	0.0999620i
$123$	12.8204	+	15.2787i	1.15597	+	1.37764i
$124$	3.94311	+	0.695276i	0.354101	+	0.0624376i
$125$	−6.04050	−	9.40810i	−0.540278	−	0.841486i
$126$	−1.23930	+	3.40496i	−0.110406	+	0.303338i
$127$	−1.60107	+	4.39890i	−0.142072	+	0.390340i	−0.990237	−	0.139392i	$-0.955485\pi$
$127$	−1.60107	+	4.39890i	−0.142072	+	0.390340i	0.848165	+	0.529732i	$0.177707\pi$
$128$	0.173648	+	0.984808i	0.0153485	+	0.0870455i
$129$	3.50389	−	4.17577i	0.308500	−	0.367656i
$130$	0.801180	+	4.16013i	0.0702682	+	0.364868i
$131$	8.71719	−	1.53708i	0.761624	−	0.134295i	0.220672	−	0.975348i	$-0.429175\pi$
$131$	8.71719	−	1.53708i	0.761624	−	0.134295i	0.540953	+	0.841053i	$0.318064\pi$
$132$	3.42731	−	9.41646i	0.298309	−	0.819598i
$133$	1.22885	+	0.447265i	0.106555	+	0.0387828i
$134$	−5.50203	−	3.17660i	−0.475303	−	0.274416i
$135$	−0.276009	−	0.318624i	−0.0237551	−	0.0274228i
$136$	−0.796285	+	0.668162i	−0.0682808	+	0.0572944i
$137$	−9.81766	+	5.66823i	−0.838779	+	0.484269i	−0.856849	−	0.515567i	$-0.827581\pi$
$137$	−9.81766	+	5.66823i	−0.838779	+	0.484269i	0.0180698	+	0.999837i	$0.494248\pi$
$138$	−8.89825	−	5.13741i	−0.757469	−	0.437325i
$139$	0.170810	+	0.968712i	0.0144879	+	0.0821651i	0.991194	−	0.132414i	$-0.0422730\pi$
$139$	0.170810	+	0.968712i	0.0144879	+	0.0821651i	−0.976707	+	0.214580i	$0.931162\pi$
$140$	2.73749	+	0.438432i	0.231360	+	0.0370543i
$141$	−12.7595	+	4.64409i	−1.07455	+	0.391103i
$142$	14.6906			1.23281
$143$	7.33102	−	2.66827i	0.613050	−	0.223132i
$144$	−0.507493	+	2.87813i	−0.0422911	+	0.239845i
$145$	−1.20753	+	0.232552i	−0.100280	+	0.0193124i
$146$	1.32248	+	1.57607i	0.109449	+	0.130437i
$147$		−	13.2944i		−	1.09650i
$148$	−1.56722	−	5.87740i	−0.128825	−	0.483119i
$149$	10.3996			0.851970			0.425985	−	0.904730i	$-0.359928\pi$
$149$	10.3996			0.851970			0.425985	+	0.904730i	$0.359928\pi$
$150$	7.52458	−	9.56264i	0.614380	−	0.780786i
$151$	−9.17911	−	7.70219i	−0.746985	−	0.626795i	0.187719	−	0.982223i	$-0.439891\pi$
$151$	−9.17911	−	7.70219i	−0.746985	−	0.626795i	−0.934704	+	0.355428i	$0.884335\pi$
$152$	1.03872	+	0.183154i	0.0842512	+	0.0148558i
$153$	−2.85470	+	1.03902i	−0.230788	+	0.0840001i
$154$		−	5.10523i		−	0.411391i
$155$	2.92948	−	8.46024i	0.235301	−	0.679543i
$156$	−3.99314	+	2.30544i	−0.319707	+	0.184583i
$157$	−13.4779	+	2.37652i	−1.07565	+	0.189667i	−0.683293	−	0.730144i	$-0.739453\pi$
$157$	−13.4779	+	2.37652i	−1.07565	+	0.189667i	−0.392362	+	0.919811i	$0.628342\pi$
$158$	−14.6509	−	8.45871i	−1.16556	−	0.672939i
$159$	0.779125	+	1.34948i	0.0617887	+	0.107021i
$160$	2.23579	−	0.0351563i	0.176755	−	0.00277935i
$161$	−5.15512	−	0.908986i	−0.406280	−	0.0716381i
$162$	4.61320	−	7.99029i	0.362447	−	0.627777i
$163$	−4.43078	−	1.61267i	−0.347045	−	0.126314i	0.162616	−	0.986689i	$-0.448007\pi$
$163$	−4.43078	−	1.61267i	−0.347045	−	0.126314i	−0.509661	+	0.860375i	$0.670229\pi$
$164$	7.70132	+	2.80305i	0.601372	+	0.218881i
$165$	−19.5789	−	10.8971i	−1.52422	−	0.848338i
$166$	−11.3825	+	13.5652i	−0.883454	+	1.05286i
$167$	−12.3884	−	10.3951i	−0.958645	−	0.804398i	0.0220875	−	0.999756i	$-0.492969\pi$
$167$	−12.3884	−	10.3951i	−0.958645	−	0.804398i	−0.980732	+	0.195358i	$0.937413\pi$
$168$	0.523951	+	2.97148i	0.0404237	+	0.229254i
$169$	8.84277	+	3.21851i	0.680213	+	0.247577i
$170$	1.19367	+	1.99442i	0.0915506	+	0.152965i
$171$	2.66954	+	1.54126i	0.204145	+	0.117863i
$172$	0.388955	−	2.20587i	0.0296575	−	0.168196i
$173$	0.289392	+	0.344884i	0.0220021	+	0.0262211i	0.776933	−	0.629583i	$-0.216774\pi$
$173$	0.289392	+	0.344884i	0.0220021	+	0.0262211i	−0.754931	+	0.655804i	$0.772330\pi$
$174$	−0.669182	−	1.15906i	−0.0507306	−	0.0878679i
$175$	1.93605	−	5.88914i	0.146352	−	0.445177i
$176$	−0.715020	−	4.05508i	−0.0538967	−	0.305663i
$177$	5.04210	+	8.73317i	0.378987	+	0.656425i
$178$	2.12819	+	5.84716i	0.159515	+	0.438263i
$179$		−	5.97659i		−	0.446711i	−0.974737	−	0.223356i	$-0.928299\pi$
$179$		−	5.97659i		−	0.446711i	0.974737	−	0.223356i	$-0.0717011\pi$
$180$	6.17526	+	2.13827i	0.460277	+	0.159377i
$181$	2.44892	−	13.8885i	0.182027	−	1.03232i	−0.747690	−	0.664048i	$-0.768837\pi$
$181$	2.44892	−	13.8885i	0.182027	−	1.03232i	0.929717	−	0.368276i	$-0.120052\pi$
$182$	−1.50996	+	1.79950i	−0.111925	+	0.133388i
$183$	4.11673	−	3.45435i	0.304318	−	0.255353i
$184$	−4.22202			−0.311251
$185$	−13.5311	+	1.38195i	−0.994825	+	0.101603i
$186$	9.74408			0.714471
$187$	3.27881	−	2.75125i	0.239771	−	0.201191i
$188$	−3.58643	+	4.27414i	−0.261567	+	0.311724i
$189$	0.0405881	−	0.230187i	0.00295235	−	0.0167436i
$190$	0.771702	−	2.22865i	0.0559851	−	0.161683i
$191$		−	2.11657i		−	0.153150i	−0.997064	−	0.0765749i	$-0.975602\pi$
$191$		−	2.11657i		−	0.153150i	0.997064	−	0.0765749i	$-0.0243984\pi$
$192$	0.832349	+	2.28686i	0.0600696	+	0.165040i
$193$	−9.29794	−	16.1045i	−0.669280	−	1.15923i	−0.978106	−	0.208109i	$-0.933269\pi$
$193$	−9.29794	−	16.1045i	−0.669280	−	1.15923i	0.308825	−	0.951119i	$-0.400064\pi$
$194$	1.47685	+	8.37564i	0.106032	+	0.601336i
$195$	3.67820	+	9.63182i	0.263401	+	0.689749i
$196$	−2.73139	−	4.73091i	−0.195100	−	0.337922i
$197$	14.9195	+	17.7804i	1.06297	+	1.26680i	0.962332	+	0.271875i	$0.0876439\pi$
$197$	14.9195	+	17.7804i	1.06297	+	1.26680i	0.100638	+	0.994923i	$0.467912\pi$
$198$	2.08967	−	11.8511i	0.148507	−	0.842222i
$199$	−18.2864	−	10.5577i	−1.29629	−	0.748412i	−0.316527	−	0.948583i	$-0.602517\pi$
$199$	−18.2864	−	10.5577i	−1.29629	−	0.748412i	−0.979761	+	0.200171i	$0.935850\pi$
$200$	0.712995	−	4.94890i	0.0504164	−	0.349940i
$201$	−14.5289	−	5.28808i	−1.02479	−	0.372992i
$202$	3.31185	+	18.7824i	0.233021	+	1.32153i
$203$	−0.522326	−	0.438283i	−0.0366601	−	0.0307615i
$204$	−1.62606	+	1.93786i	−0.113847	+	0.135677i
$205$	8.91227	−	16.0128i	0.622460	−	1.11838i
$206$	9.92476	+	3.61232i	0.691491	+	0.251682i
$207$	−11.5949	−	4.22018i	−0.805899	−	0.293323i
$208$	−0.947328	+	1.64082i	−0.0656854	+	0.113770i
$209$	−4.27707	−	0.754163i	−0.295851	−	0.0521665i
$210$	6.74609	−	0.106078i	0.465524	−	0.00732006i
$211$	−1.50209	−	2.60169i	−0.103408	−	0.179108i	0.809679	−	0.586873i	$-0.199641\pi$
$211$	−1.50209	−	2.60169i	−0.103408	−	0.179108i	−0.913087	+	0.407766i	$0.866308\pi$
$212$	0.554516	+	0.320150i	0.0380843	+	0.0219880i
$213$	35.2084	−	6.20818i	2.41244	−	0.425378i
$214$	15.1959	−	8.77333i	1.03877	−	0.599732i
$215$	−4.73287	−	1.63882i	−0.322779	−	0.111767i
$216$		−	0.188522i		−	0.0128273i
$217$	4.66487	−	1.69787i	0.316672	−	0.115259i
$218$	−7.38613	−	1.30237i	−0.500252	−	0.0882079i
$219$	3.83557	+	3.21843i	0.259184	+	0.217481i
$220$	−9.20618	+	0.144761i	−0.620681	+	0.00975979i
$221$	−1.96945			−0.132479
$222$	−6.23984	−	13.4238i	−0.418790	−	0.900946i
$223$			4.18427i			0.280199i	0.990137	+	0.140100i	$0.0447423\pi$
$223$			4.18427i			0.280199i	−0.990137	+	0.140100i	$0.955258\pi$
$224$	0.796956	+	0.949775i	0.0532489	+	0.0634595i
$225$	6.90484	−	12.8784i	0.460323	−	0.858560i
$226$	−3.39106	+	19.2316i	−0.225570	+	1.27927i
$227$	13.6869	−	4.98163i	0.908432	−	0.330642i	0.154805	−	0.987945i	$-0.450525\pi$
$227$	13.6869	−	4.98163i	0.908432	−	0.330642i	0.753626	+	0.657303i	$0.228303\pi$
$228$	2.56685			0.169994
$229$	1.44016	−	0.524177i	0.0951687	−	0.0346386i	−0.293997	−	0.955806i	$-0.594986\pi$
$229$	1.44016	−	0.524177i	0.0951687	−	0.0346386i	0.389166	+	0.921168i	$0.372763\pi$
$230$	−1.49299	+	9.32192i	−0.0984445	+	0.614669i
$231$	−2.15744	−	12.2355i	−0.141949	−	0.805034i
$232$	−0.476268	−	0.274973i	−0.0312685	−	0.0180529i
$233$	−9.52909	+	5.50162i	−0.624271	+	0.360423i	−0.778530	−	0.627607i	$-0.784034\pi$
$233$	−9.52909	+	5.50162i	−0.624271	+	0.360423i	0.154259	+	0.988030i	$0.450701\pi$
$234$	−4.24174	+	3.55924i	−0.277291	+	0.232675i
$235$	8.16877	+	9.43000i	0.532872	+	0.615145i
$236$	3.58854	+	2.07185i	0.233594	+	0.134866i
$237$	−38.6878	−	14.0812i	−2.51304	−	0.914672i
$238$	−0.440791	+	1.21106i	−0.0285722	+	0.0785016i
$239$	−22.2532	+	3.92385i	−1.43944	+	0.253812i	−0.838247	−	0.545290i	$-0.816420\pi$
$239$	−22.2532	+	3.92385i	−1.43944	+	0.253812i	−0.601195	+	0.799103i	$0.705308\pi$
$240$	5.34356	−	1.02909i	0.344925	−	0.0664276i
$241$	−9.58815	+	11.4267i	−0.617627	+	0.736059i	−0.980660	−	0.195717i	$-0.937297\pi$
$241$	−9.58815	+	11.4267i	−0.617627	+	0.736059i	0.363033	+	0.931776i	$0.381741\pi$
$242$	1.03407	+	5.86448i	0.0664723	+	0.376983i
$243$	7.48615	−	20.5680i	0.480237	−	1.31944i
$244$	0.755260	−	2.07506i	0.0483506	−	0.132842i
$245$	−11.4114	+	4.35779i	−0.729047	+	0.278409i
$246$	19.6419	+	3.46340i	1.25232	+	0.220819i
$247$	1.28453	+	1.53084i	0.0817327	+	0.0974052i
$248$	3.46751	−	2.00197i	0.220187	−	0.127125i
$249$	−21.5474	+	37.3212i	−1.36551	+	2.36513i
$250$	−10.6747	−	3.32427i	−0.675127	−	0.210245i
$251$	10.7450	−	6.20365i	0.678220	−	0.391571i	−0.120964	−	0.992657i	$-0.538599\pi$
$251$	10.7450	−	6.20365i	0.678220	−	0.391571i	0.799184	+	0.601086i	$0.205265\pi$
$252$	1.23930	+	3.40496i	0.0780689	+	0.214492i
$253$	17.3847			1.09297
$254$	1.60107	+	4.39890i	0.100460	+	0.276012i
$255$	3.70365	+	4.27548i	0.231932	+	0.267741i
$256$	0.766044	+	0.642788i	0.0478778	+	0.0401742i
$257$	−19.9585	+	16.7472i	−1.24498	+	1.04466i	−0.247860	+	0.968796i	$0.579727\pi$
$257$	−19.9585	+	16.7472i	−1.24498	+	1.04466i	−0.997118	+	0.0758650i	$0.975828\pi$
$258$		−	5.45108i		−	0.339369i
$259$	−5.32631	−	5.33922i	−0.330961	−	0.331763i
$260$	3.28782	+	2.67186i	0.203902	+	0.165702i
$261$	−1.03311	−	1.23122i	−0.0639481	−	0.0762103i
$262$	5.68974	−	6.78077i	0.351513	−	0.418917i
$263$	−21.2209	−	3.74183i	−1.30854	−	0.230731i	−0.524483	−	0.851421i	$-0.675742\pi$
$263$	−21.2209	−	3.74183i	−1.30854	−	0.230731i	−0.784056	+	0.620690i	$0.786853\pi$
$264$	−3.42731	−	9.41646i	−0.210937	−	0.579543i
$265$	0.902956	−	1.11112i	0.0554682	−	0.0682557i
$266$	1.22885	−	0.447265i	0.0753457	−	0.0274236i
$267$	7.57152	+	13.1142i	0.463369	+	0.802579i
$268$	−6.25667	+	1.10322i	−0.382187	+	0.0673899i
$269$	−12.7341	+	22.0561i	−0.776411	+	1.34478i	0.157586	+	0.987505i	$0.449629\pi$
$269$	−12.7341	+	22.0561i	−0.776411	+	1.34478i	−0.933998	+	0.357279i	$0.883705\pi$
$270$	−0.416243	−	0.0666649i	−0.0253317	−	0.00405710i
$271$	6.49820	−	5.45264i	0.394738	−	0.331224i	−0.423718	−	0.905794i	$-0.639275\pi$
$271$	6.49820	−	5.45264i	0.394738	−	0.331224i	0.818455	+	0.574570i	$0.194831\pi$
$272$	−0.180503	+	1.02368i	−0.0109446	+	0.0620699i
$273$	−2.85839	+	4.95087i	−0.172997	+	0.299640i
$274$	−3.87730	+	10.6528i	−0.234236	+	0.643558i
$275$	−2.93586	+	20.3778i	−0.177039	+	1.22883i
$276$	−10.1187	+	1.78420i	−0.609075	+	0.107396i
$277$	6.07736	+	5.09951i	0.365153	+	0.306400i	0.806841	−	0.590769i	$-0.201176\pi$
$277$	6.07736	+	5.09951i	0.365153	+	0.306400i	−0.441687	+	0.897169i	$0.645620\pi$
$278$	0.753524	+	0.632282i	0.0451934	+	0.0379218i
$279$	11.5239	−	2.03197i	0.689916	−	0.121651i
$280$	2.37886	−	1.42376i	0.142164	−	0.0850862i
$281$	10.8356	−	29.7707i	0.646400	−	1.77597i	0.0157806	−	0.999875i	$-0.494977\pi$
$281$	10.8356	−	29.7707i	0.646400	−	1.77597i	0.630619	−	0.776093i	$-0.282801\pi$
$282$	−6.78920	+	11.7592i	−0.404291	+	0.700253i
$283$	5.43092	−	30.8003i	0.322834	−	1.83088i	−0.201641	−	0.979459i	$-0.564627\pi$
$283$	5.43092	−	30.8003i	0.322834	−	1.83088i	0.524476	−	0.851426i	$-0.324261\pi$
$284$	11.2537	−	9.44296i	0.667783	−	0.560336i
$285$	0.907686	−	5.66742i	0.0537667	−	0.335709i
$286$	3.90075	−	6.75630i	0.230656	−	0.399509i
$287$	10.0069	−	1.76448i	0.590686	−	0.104154i
$288$	1.46127	+	2.53099i	0.0861060	+	0.149140i
$289$	14.9594	−	5.44479i	0.879966	−	0.320282i
$290$	−0.775539	+	0.954330i	−0.0455412	+	0.0560402i
$291$	7.07900	+	19.4494i	0.414979	+	1.14014i
$292$	2.02616	+	0.357267i	0.118572	+	0.0209075i
$293$	9.74907	−	11.6185i	0.569547	−	0.678760i	−0.401991	−	0.915644i	$-0.631682\pi$
$293$	9.74907	−	11.6185i	0.569547	−	0.678760i	0.971538	+	0.236884i	$0.0761261\pi$
$294$	−8.54546	−	10.1841i	−0.498382	−	0.593948i
$295$	5.84347	−	7.19061i	0.340220	−	0.418653i
$296$	−4.97848	−	3.49496i	−0.289368	−	0.203140i
$297$			0.776265i			0.0450435i
$298$	7.96657	−	6.68475i	0.461491	−	0.387237i
$299$	−6.12780	−	5.14183i	−0.354380	−	0.297360i
$300$	−0.382577	−	12.1621i	−0.0220881	−	0.702180i
$301$	−0.949833	−	2.60964i	−0.0547474	−	0.150417i
$302$	−11.9825			−0.689514
$303$	15.8747	+	43.6154i	0.911979	+	2.50564i
$304$	0.913434	−	0.527371i	0.0523890	−	0.0302468i
$305$	−4.31451	−	2.40134i	−0.247048	−	0.137500i
$306$	−1.51895	+	2.63090i	−0.0868327	+	0.150399i
$307$	11.7542	−	6.78632i	0.670850	−	0.387316i	−0.125549	−	0.992087i	$-0.540069\pi$
$307$	11.7542	−	6.78632i	0.670850	−	0.387316i	0.796399	+	0.604772i	$0.206736\pi$
$308$	−3.28158	−	3.91083i	−0.186985	−	0.222840i
$309$	25.3128	+	4.46332i	1.43999	+	0.253910i
$310$	−3.19403	−	8.36395i	−0.181409	−	0.475040i
$311$	10.9507	−	30.0869i	0.620959	−	1.70607i	−0.0836687	−	0.996494i	$-0.526664\pi$
$311$	10.9507	−	30.0869i	0.620959	−	1.70607i	0.704628	−	0.709577i	$-0.251114\pi$
$312$	−1.57701	+	4.33281i	−0.0892809	+	0.245297i
$313$	4.12926	+	23.4182i	0.233400	+	1.32367i	0.845958	+	0.533250i	$0.179029\pi$
$313$	4.12926	+	23.4182i	0.233400	+	1.32367i	−0.612558	+	0.790425i	$0.709860\pi$
$314$	−8.79708	+	10.4840i	−0.496448	+	0.591644i
$315$	7.95616	−	1.53224i	0.448279	−	0.0863319i
$316$	−16.6604	+	2.93768i	−0.937221	+	0.165257i
$317$	0.269217	−	0.739669i	0.0151208	−	0.0415439i	−0.931903	−	0.362709i	$-0.881852\pi$
$317$	0.269217	−	0.739669i	0.0151208	−	0.0415439i	0.947023	+	0.321165i	$0.104074\pi$
$318$	1.46428	+	0.532953i	0.0821126	+	0.0298865i
$319$	1.96110	+	1.13224i	0.109800	+	0.0633933i
$320$	1.69012	−	1.46407i	0.0944804	−	0.0818440i
$321$	32.7116	−	27.4483i	1.82579	−	1.53202i
$322$	−4.53333	+	2.61732i	−0.252633	+	0.145858i
$323$	0.949492	+	0.548190i	0.0528312	+	0.0305021i
$324$	−1.60215	−	9.08623i	−0.0890082	−	0.504790i
$325$	7.06191	−	6.31446i	0.391724	−	0.350263i
$326$	−4.43078	+	1.61267i	−0.245398	+	0.0893176i
$327$	−18.2524			−1.00936
$328$	7.70132	−	2.80305i	0.425234	−	0.154773i
$329$	−1.20125	+	6.81260i	−0.0662268	+	0.375591i
$330$	−22.0029	+	4.23743i	−1.21122	+	0.233263i
$331$	16.3734	+	19.5131i	0.899965	+	1.07254i	0.997011	+	0.0772564i	$0.0246160\pi$
$331$	16.3734	+	19.5131i	0.899965	+	1.07254i	−0.0970465	+	0.995280i	$0.530940\pi$
$332$			17.7080i			0.971855i
$333$	−10.1789	−	14.5745i	−0.557799	−	0.798676i
$334$	−16.1719			−0.884889
$335$	0.223355	+	14.2044i	0.0122032	+	0.776070i
$336$	2.31140	+	1.93949i	0.126097	+	0.105808i
$337$	1.20347	+	0.212204i	0.0655571	+	0.0115595i	0.206331	−	0.978482i	$-0.433848\pi$
$337$	1.20347	+	0.212204i	0.0655571	+	0.0115595i	−0.140773	+	0.990042i	$0.544959\pi$
$338$	8.84277	−	3.21851i	0.480983	−	0.175064i
$339$			47.5246i			2.58118i
$340$	2.19639	+	0.760532i	0.119116	+	0.0412456i
$341$	−14.2780	+	8.24338i	−0.773194	+	0.446404i
$342$	3.03569	−	0.535274i	0.164151	−	0.0289443i
$343$	−13.3817	−	7.72595i	−0.722546	−	0.417162i
$344$	−1.11995	−	1.93981i	−0.0603837	−	0.104588i
$345$	0.361225	+	22.9723i	0.0194477	+	1.23679i
$346$	0.443375	+	0.0781789i	0.0238360	+	0.00420293i
$347$	−2.43983	+	4.22592i	−0.130977	+	0.226859i	−0.924054	−	0.382263i	$-0.875145\pi$
$347$	−2.43983	+	4.22592i	−0.130977	+	0.226859i	0.793076	+	0.609122i	$0.208478\pi$
$348$	−1.25765	−	0.457748i	−0.0674172	−	0.0245378i
$349$	18.6410	+	6.78477i	0.997829	+	0.363180i	0.788747	−	0.614718i	$-0.210730\pi$
$349$	18.6410	+	6.78477i	0.997829	+	0.363180i	0.209082	+	0.977898i	$0.432952\pi$
$350$	−2.30236	−	5.75582i	−0.123067	−	0.307661i
$351$	0.229593	−	0.273619i	0.0122548	−	0.0146047i
$352$	−3.15429	−	2.64677i	−0.168124	−	0.141073i
$353$	0.645328	+	3.65984i	0.0343474	+	0.194794i	0.997153	−	0.0754001i	$-0.0240234\pi$
$353$	0.645328	+	3.65984i	0.0343474	+	0.194794i	−0.962806	+	0.270194i	$0.912912\pi$
$354$	9.47605	+	3.44900i	0.503646	+	0.183312i
$355$	−16.8699	−	28.1865i	−0.895360	−	1.49599i
$356$	5.38877	+	3.11121i	0.285604	+	0.164894i
$357$	−0.544635	+	3.08878i	−0.0288251	+	0.163475i
$358$	−3.84168	−	4.57833i	−0.203039	−	0.241972i
$359$	11.6172	+	20.1217i	0.613135	+	1.06198i	0.990709	+	0.136001i	$0.0434250\pi$
$359$	11.6172	+	20.1217i	0.613135	+	1.06198i	−0.377574	+	0.925979i	$0.623242\pi$
$360$	6.10498	−	2.33137i	0.321761	−	0.122874i
$361$	3.10613	+	17.6158i	0.163481	+	0.927146i
$362$	−7.05138	−	12.2133i	−0.370612	−	0.641919i
$363$	4.95660	+	13.6181i	0.260154	+	0.714767i
$364$			2.34908i			0.123125i
$365$	1.50531	−	4.34729i	0.0787915	−	0.227547i
$366$	0.933188	−	5.29237i	0.0487785	−	0.276637i
$367$	4.66096	−	5.55472i	0.243300	−	0.289954i	−0.630550	−	0.776148i	$-0.717171\pi$
$367$	4.66096	−	5.55472i	0.243300	−	0.289954i	0.873851	+	0.486194i	$0.161615\pi$
$368$	−3.23425	+	2.71386i	−0.168597	+	0.141470i
$369$	23.9518			1.24688
$370$	−9.47711	+	9.75625i	−0.492692	+	0.507203i
$371$	0.793872			0.0412158
$372$	7.46440	−	6.26337i	0.387011	−	0.324741i
$373$	3.05086	−	3.63587i	0.157968	−	0.188258i	−0.681256	−	0.732046i	$-0.738566\pi$
$373$	3.05086	−	3.63587i	0.157968	−	0.188258i	0.839223	+	0.543787i	$0.183010\pi$
$374$	0.743246	−	4.21516i	0.0384324	−	0.217961i
$375$	−26.9884	−	3.45605i	−1.39367	−	0.178470i
$376$			5.57949i			0.287740i
$377$	−0.356371	−	0.979121i	−0.0183540	−	0.0504273i
$378$	−0.116869	−	0.202423i	−0.00601108	−	0.0104115i
$379$	−0.707602	−	4.01301i	−0.0363471	−	0.206135i	0.961226	−	0.275762i	$-0.0889301\pi$
$379$	−0.707602	−	4.01301i	−0.0363471	−	0.206135i	−0.997573	+	0.0696273i	$0.977819\pi$
$380$	−0.841391	−	2.20329i	−0.0431625	−	0.113026i
$381$	5.69616	+	9.86604i	0.291823	+	0.505453i
$382$	−1.36051	−	1.62139i	−0.0696096	−	0.0829575i
$383$	−0.716344	+	4.06259i	−0.0366034	+	0.207588i	−0.997624	−	0.0688868i	$-0.978055\pi$
$383$	−0.716344	+	4.06259i	−0.0366034	+	0.207588i	0.961021	+	0.276475i	$0.0891664\pi$
$384$	2.10758	+	1.21681i	0.107552	+	0.0620952i
$385$	−9.79527	+	5.86255i	−0.499213	+	0.298783i
$386$	−17.4744	−	6.36017i	−0.889424	−	0.323724i
$387$	−1.13673	−	6.44673i	−0.0577834	−	0.327706i
$388$	6.51509	+	5.46681i	0.330754	+	0.277535i
$389$	15.1832	−	18.0947i	0.769821	−	0.917437i	−0.228605	−	0.973519i	$-0.573417\pi$
$389$	15.1832	−	18.0947i	0.769821	−	0.917437i	0.998426	+	0.0560825i	$0.0178610\pi$
$390$	9.00888	+	5.01410i	0.456182	+	0.253899i
$391$	−4.12402	−	1.50102i	−0.208560	−	0.0759098i
$392$	−5.13334	−	1.86838i	−0.259273	−	0.0943676i
$393$	10.7708	−	18.6556i	0.543316	−	0.941051i
$394$	22.8580	+	4.03048i	1.15157	+	0.203053i
$395$	0.594755	+	37.8238i	0.0299253	+	1.90312i
$396$	−6.01697	−	10.4217i	−0.302364	−	0.523710i
$397$	15.2135	+	8.78354i	0.763546	+	0.440833i	0.830567	−	0.556918i	$-0.188016\pi$
$397$	15.2135	+	8.78354i	0.763546	+	0.440833i	−0.0670218	+	0.997752i	$0.521350\pi$
$398$	−20.7945	+	3.66664i	−1.04234	+	0.183792i
$399$	2.75612	−	1.59125i	0.137978	−	0.0796619i
$400$	−2.63491	−	4.24938i	−0.131745	−	0.212469i
$401$		−	12.3785i		−	0.618153i	−0.951037	−	0.309076i	$-0.899980\pi$
$401$		−	12.3785i		−	0.618153i	0.951037	−	0.309076i	$-0.100020\pi$
$402$	−14.5289	+	5.28808i	−0.724634	+	0.263745i
$403$	7.47083	+	1.31731i	0.372148	+	0.0656198i
$404$	14.6101	+	12.2594i	0.726882	+	0.609926i
$405$	−20.6283	+	0.324366i	−1.02503	+	0.0161179i
$406$	−0.681848			−0.0338395
$407$	20.4996	+	14.3910i	1.01613	+	0.713335i
$408$			2.52970i			0.125239i
$409$	15.9155	+	18.9674i	0.786973	+	0.937878i	0.999226	−	0.0393368i	$-0.0125245\pi$
$409$	15.9155	+	18.9674i	0.786973	+	0.937878i	−0.212253	+	0.977215i	$0.568080\pi$
$410$	−3.46561	−	17.9952i	−0.171154	−	0.888718i
$411$	−4.79073	+	27.1696i	−0.236309	+	1.34018i
$412$	9.92476	−	3.61232i	0.488958	−	0.177966i
$413$	5.13753			0.252801
$414$	−11.5949	+	4.22018i	−0.569856	+	0.207411i
$415$	39.0981	+	6.26190i	1.91925	+	0.307385i
$416$	0.329003	+	1.86587i	0.0161307	+	0.0914819i
$417$	2.07314	+	1.19693i	0.101522	+	0.0586137i
$418$	−3.76119	+	2.17152i	−0.183966	+	0.106213i
$419$	−26.5779	+	22.3015i	−1.29842	+	1.08950i	−0.308001	+	0.951386i	$0.599660\pi$
$419$	−26.5779	+	22.3015i	−1.29842	+	1.08950i	−0.990416	+	0.138115i	$0.955896\pi$
$420$	5.09962	−	4.41756i	0.248836	−	0.215555i
$421$	−16.6801	−	9.63023i	−0.812936	−	0.469349i	0.0350383	−	0.999386i	$-0.488845\pi$
$421$	−16.6801	−	9.63023i	−0.812936	−	0.469349i	−0.847974	+	0.530037i	$0.822178\pi$
$422$	−2.82300	−	1.02749i	−0.137421	−	0.0500173i
$423$	−5.57707	+	15.3229i	−0.271166	+	0.745024i
$424$	0.630572	−	0.111187i	0.0306233	−	0.00539972i
$425$	2.45589	−	4.58054i	0.119128	−	0.222189i
$426$	22.9806	−	27.3872i	1.11341	−	1.32692i
$427$	−0.475425	−	2.69627i	−0.0230074	−	0.130482i
$428$	6.00131	−	16.4885i	0.290084	−	0.797000i
$429$	6.49358	−	17.8410i	0.313513	−	0.861369i
$430$	−4.67900	+	1.78682i	−0.225641	+	0.0861680i
$431$	−25.5330	−	4.50216i	−1.22988	−	0.216862i	−0.479308	−	0.877647i	$-0.659112\pi$
$431$	−25.5330	−	4.50216i	−1.22988	−	0.216862i	−0.750575	+	0.660785i	$0.770223\pi$
$432$	−0.121180	−	0.144416i	−0.00583025	−	0.00694822i
$433$	14.9459	−	8.62903i	0.718255	−	0.414685i	−0.0958549	−	0.995395i	$-0.530558\pi$
$433$	14.9459	−	8.62903i	0.718255	−	0.414685i	0.814110	+	0.580710i	$0.197225\pi$
$434$	2.48213	−	4.29917i	0.119146	−	0.206367i
$435$	−1.45540	+	2.61494i	−0.0697813	+	0.125377i
$436$	−6.49526	+	3.75004i	−0.311066	+	0.179594i
$437$	1.52306	+	4.18458i	0.0728580	+	0.200176i
$438$	5.00699			0.239243
$439$	8.36393	+	22.9797i	0.399189	+	1.09676i	0.962681	+	0.270640i	$0.0872353\pi$
$439$	8.36393	+	22.9797i	0.399189	+	1.09676i	−0.563492	+	0.826121i	$0.690542\pi$
$440$	−6.95929	+	6.02851i	−0.331771	+	0.287398i
$441$	−12.2300	−	10.2622i	−0.582383	−	0.488677i
$442$	−1.50868	+	1.26594i	−0.0717608	+	0.0602145i
$443$		−	15.5146i		−	0.737121i	−0.929604	−	0.368560i	$-0.879851\pi$
$443$		−	15.5146i		−	0.737121i	0.929604	−	0.368560i	$-0.120149\pi$
$444$	−13.4086	−	6.27233i	−0.636346	−	0.297672i
$445$	8.77490	−	10.7978i	0.415970	−	0.511867i
$446$	2.68959	+	3.20533i	0.127356	+	0.151777i
$447$	16.2682	−	19.3877i	0.769458	−	0.917005i
$448$	1.22101	+	0.215297i	0.0576872	+	0.0101718i
$449$	−0.622522	−	1.71036i	−0.0293786	−	0.0807171i	0.924136	−	0.382063i	$-0.124786\pi$
$449$	−0.622522	−	1.71036i	−0.0293786	−	0.0807171i	−0.953515	+	0.301346i	$0.902564\pi$
$450$	−2.98867	−	14.3038i	−0.140887	−	0.674287i
$451$	−31.7112	+	11.5419i	−1.49322	+	0.543489i
$452$	9.76416	+	16.9120i	0.459268	+	0.795475i
$453$	−28.7178	+	5.06373i	−1.34928	+	0.237915i
$454$	7.28265	−	12.6139i	0.341792	−	0.592001i
$455$	5.18659	+	0.830678i	0.243151	+	0.0389428i
$456$	1.96632	−	1.64994i	0.0920814	−	0.0772655i
$457$	−2.20043	+	12.4792i	−0.102932	+	0.583754i	0.889095	+	0.457723i	$0.151335\pi$
$457$	−2.20043	+	12.4792i	−0.102932	+	0.583754i	−0.992026	+	0.126031i	$0.959776\pi$
$458$	0.766295	−	1.32726i	0.0358066	−	0.0620189i
$459$	0.0670236	−	0.184146i	0.00312839	−	0.00859519i
$460$	4.84832	+	8.10068i	0.226054	+	0.377696i
$461$	6.64511	−	1.17171i	0.309494	−	0.0545721i	−0.0167442	−	0.999860i	$-0.505330\pi$
$461$	6.64511	−	1.17171i	0.309494	−	0.0545721i	0.326238	+	0.945288i	$0.394219\pi$
$462$	−9.51750	−	7.98613i	−0.442794	−	0.371548i
$463$	6.03083	+	5.06047i	0.280277	+	0.235180i	0.772079	−	0.635527i	$-0.219217\pi$
$463$	6.03083	+	5.06047i	0.280277	+	0.235180i	−0.491802	+	0.870707i	$0.663662\pi$
$464$	−0.541592	+	0.0954972i	−0.0251428	+	0.00443335i
$465$	−11.1895	−	18.6957i	−0.518902	−	0.866993i
$466$	−3.76333	+	10.3397i	−0.174333	+	0.478976i
$467$	20.5057	−	35.5169i	0.948890	−	1.64353i	0.201121	−	0.979566i	$-0.435542\pi$
$467$	20.5057	−	35.5169i	0.948890	−	1.64353i	0.747769	−	0.663959i	$-0.231125\pi$
$468$	−0.961524	+	5.45307i	−0.0444465	+	0.252068i
$469$	−6.03411	+	5.06322i	−0.278629	+	0.233798i
$470$	12.3191	+	1.97301i	0.568239	+	0.0910084i
$471$	−16.6531	+	28.8440i	−0.767334	+	1.32906i
$472$	4.08074	−	0.719545i	0.187831	−	0.0331197i
$473$	4.61155	+	7.98744i	0.212039	+	0.367263i
$474$	−38.6878	+	14.0812i	−1.77699	+	0.646771i
$475$	−5.16223	+	1.07861i	−0.236859	+	0.0494900i
$476$	0.440791	+	1.21106i	0.0202036	+	0.0555090i
$477$	1.84287	+	0.324948i	0.0843792	+	0.0148783i
$478$	−14.5248	+	17.3099i	−0.664347	+	0.791738i
$479$	−9.14817	−	10.9024i	−0.417991	−	0.498142i	0.515427	−	0.856933i	$-0.327633\pi$
$479$	−9.14817	−	10.9024i	−0.417991	−	0.498142i	−0.933418	+	0.358792i	$0.883189\pi$
$480$	3.43192	−	4.22310i	0.156645	−	0.192757i
$481$	−2.96934	−	11.1356i	−0.135390	−	0.507742i
$482$			14.9165i			0.679429i
$483$	−9.75876	+	8.18857i	−0.444039	+	0.372593i
$484$	4.56176	+	3.82777i	0.207353	+	0.173989i
$485$	14.3742	−	12.4517i	0.652699	−	0.565403i
$486$	−7.48615	−	20.5680i	−0.339579	−	0.932984i
$487$	−30.4326			−1.37903			−0.689516	−	0.724270i	$-0.742177\pi$
$487$	−30.4326			−1.37903			−0.689516	+	0.724270i	$0.742177\pi$
$488$	−0.755260	−	2.07506i	−0.0341890	−	0.0939336i
$489$	−9.93753	+	5.73744i	−0.449391	+	0.259456i
$490$	−5.94051	+	10.6734i	−0.268365	+	0.482173i
$491$	9.58025	−	16.5935i	0.432350	−	0.748853i	−0.564725	−	0.825279i	$-0.691018\pi$
$491$	9.58025	−	16.5935i	0.432350	−	0.748853i	0.997075	+	0.0764264i	$0.0243510\pi$
$492$	17.2728	−	9.97248i	0.778719	−	0.449594i
$493$	−0.367454	−	0.437914i	−0.0165493	−	0.0197227i
$494$	1.96801	+	0.347014i	0.0885451	+	0.0156129i
$495$	−25.1381	+	9.59974i	−1.12987	+	0.431476i
$496$	1.36943	−	3.76247i	0.0614891	−	0.168940i
$497$	6.22958	−	17.1156i	0.279435	−	0.767741i
$498$	7.48333	+	42.4401i	0.335336	+	1.90178i
$499$	7.82398	−	9.32426i	0.350250	−	0.417411i	−0.561941	−	0.827177i	$-0.689945\pi$
$499$	7.82398	−	9.32426i	0.350250	−	0.417411i	0.912191	+	0.409766i	$0.134390\pi$
$500$	−10.3141	+	4.31503i	−0.461260	+	0.192974i
$501$	−38.7585	+	6.83417i	−1.73160	+	0.305328i
$502$	4.24354	−	11.6590i	0.189399	−	0.520368i
$503$	−15.1242	−	5.50476i	−0.674355	−	0.245445i	−0.0179334	−	0.999839i	$-0.505709\pi$
$503$	−15.1242	−	5.50476i	−0.674355	−	0.245445i	−0.656422	+	0.754394i	$0.727931\pi$
$504$	3.13803	+	1.81174i	0.139779	+	0.0807014i
$505$	32.2343	−	27.9230i	1.43441	−	1.24256i
$506$	13.3175	−	11.1747i	0.592035	−	0.496776i
$507$	19.8329	−	11.4506i	0.880812	−	0.508537i
$508$	4.05405	+	2.34061i	0.179869	+	0.103848i
$509$	−1.78161	−	10.1040i	−0.0789685	−	0.447853i	−0.998496	−	0.0548267i	$-0.982539\pi$
$509$	−1.78161	−	10.1040i	−0.0789685	−	0.447853i	0.919527	−	0.393026i	$-0.128572\pi$
$510$	5.58539	+	0.894548i	0.247325	+	0.0396113i
$511$	2.39704	−	0.872451i	0.106039	−	0.0385950i
$512$	1.00000			0.0441942
$513$	−0.186850	+	0.0680080i	−0.00824965	+	0.00300263i
$514$	−4.52423	+	25.6582i	−0.199555	+	1.13173i
$515$	−4.46616	−	23.1906i	−0.196803	−	1.02190i
$516$	−3.50389	−	4.17577i	−0.154250	−	0.183828i
$517$		−	22.9743i		−	1.01041i
$518$	−7.51217	−	0.666398i	−0.330066	−	0.0292799i
$519$	1.09565			0.0480939
$520$	4.23605	−	0.0666092i	0.185763	−	0.00292100i
$521$	22.0103	+	18.4688i	0.964288	+	0.809134i	0.981645	−	0.190715i	$-0.0610807\pi$
$521$	22.0103	+	18.4688i	0.964288	+	0.809134i	−0.0173570	+	0.999849i	$0.505525\pi$
$522$	−1.58282	−	0.279094i	−0.0692782	−	0.0122156i
$523$	−12.7963	+	4.65747i	−0.559542	+	0.203657i	−0.606281	−	0.795250i	$-0.707339\pi$
$523$	−12.7963	+	4.65747i	−0.559542	+	0.203657i	0.0467388	+	0.998907i	$0.485117\pi$
$524$		−	8.85167i		−	0.386687i
$525$	−7.95034	−	12.8217i	−0.346981	−	0.559586i
$526$	−18.6614	+	10.7742i	−0.813675	+	0.469776i
$527$	4.09876	−	0.722723i	0.178545	−	0.0314823i
$528$	−8.67826	−	5.01040i	−0.377673	−	0.218049i
$529$	2.58728	+	4.48130i	0.112491	+	0.194839i
$530$	−0.0225106	−	1.43158i	−0.000977798	−	0.0621838i
$531$	11.9261	+	2.10289i	0.517549	+	0.0912579i
$532$	0.653858	−	1.13251i	0.0283483	−	0.0491007i
$533$	14.5913	+	5.31081i	0.632021	+	0.230037i
$534$	14.2298	+	5.17922i	0.615783	+	0.224127i
$535$	−34.2832	−	19.0811i	−1.48219	−	0.824948i
$536$	−4.08375	+	4.86683i	−0.176391	+	0.210215i
$537$	−11.1419	−	9.34920i	−0.480810	−	0.403448i
$538$	4.42250	+	25.0813i	0.190668	+	1.08133i
$539$	21.1372	+	7.69333i	0.910446	+	0.331375i
$540$	−0.361712	+	0.216488i	−0.0155656	+	0.00931614i
$541$	26.5508	+	15.3291i	1.14151	+	0.659050i	0.946804	−	0.321812i	$-0.104292\pi$
$541$	26.5508	+	15.3291i	1.14151	+	0.659050i	0.194704	+	0.980862i	$0.437625\pi$
$542$	1.47302	−	8.35393i	0.0632718	−	0.358832i
$543$	−22.0610	−	26.2913i	−0.946728	−	1.12827i
$544$	0.519738	+	0.900212i	0.0222836	+	0.0385963i
$545$	5.98297	+	15.6672i	0.256282	+	0.671107i
$546$	0.992707	+	5.62992i	0.0424839	+	0.240938i
$547$	5.11079	+	8.85215i	0.218522	+	0.378490i	0.954356	−	0.298671i	$-0.0965433\pi$
$547$	5.11079	+	8.85215i	0.218522	+	0.378490i	−0.735835	+	0.677161i	$0.763210\pi$
$548$	3.87730	+	10.6528i	0.165630	+	0.455064i
$549$		−	6.45364i		−	0.275435i
$550$	10.8496	+	17.4974i	0.462628	+	0.746093i
$551$	−0.100725	+	0.571240i	−0.00429103	+	0.0243356i
$552$	−6.60452	+	7.87096i	−0.281107	+	0.335010i
$553$	−16.0677	+	13.4824i	−0.683270	+	0.573331i
$554$	7.93343			0.337059
$555$	−18.5904	+	27.3873i	−0.789119	+	1.16253i
$556$	0.983656			0.0417163
$557$	11.1015	−	9.31530i	0.470387	−	0.394702i	−0.376549	−	0.926397i	$-0.622889\pi$
$557$	11.1015	−	9.31530i	0.470387	−	0.394702i	0.846936	+	0.531695i	$0.178445\pi$
$558$	7.52167	−	8.96398i	0.318418	−	0.379475i
$559$	0.736935	−	4.17936i	0.0311690	−	0.176768i
$560$	0.907131	−	2.61977i	0.0383333	−	0.110705i
$561$		−	10.4164i		−	0.439780i
$562$	−10.8356	−	29.7707i	−0.457073	−	1.25580i
$563$	−9.49742	−	16.4500i	−0.400269	−	0.693285i	0.593490	−	0.804842i	$-0.297750\pi$
$563$	−9.49742	−	16.4500i	−0.400269	−	0.693285i	−0.993758	+	0.111556i	$0.964416\pi$
$564$	2.35786	+	13.3721i	0.0992840	+	0.563068i
$565$	40.7934	−	15.5782i	1.71619	−	0.655379i
$566$	−15.6377	−	27.0853i	−0.657301	−	1.13848i
$567$	−7.35303	−	8.76300i	−0.308798	−	0.368011i
$568$	2.55100	−	14.4674i	0.107038	−	0.607041i
$569$	−12.8560	−	7.42244i	−0.538954	−	0.311165i	0.205701	−	0.978615i	$-0.434053\pi$
$569$	−12.8560	−	7.42244i	−0.538954	−	0.311165i	−0.744655	+	0.667450i	$0.767386\pi$
$570$	−2.94762	−	4.92495i	−0.123462	−	0.206283i
$571$	−39.8791	−	14.5148i	−1.66889	−	0.607426i	−0.677167	−	0.735829i	$-0.736793\pi$
$571$	−39.8791	−	14.5148i	−1.66889	−	0.607426i	−0.991722	+	0.128403i	$0.959015\pi$
$572$	−1.35472	−	7.68298i	−0.0566436	−	0.321242i
$573$	−3.94585	−	3.31096i	−0.164840	−	0.138318i
$574$	6.53151	−	7.78395i	0.272620	−	0.324896i
$575$	19.6002	−	7.84020i	0.817384	−	0.326959i
$576$	2.74628	+	0.999566i	0.114429	+	0.0416486i
$577$	0.133285	+	0.0485117i	0.00554872	+	0.00201957i	0.344793	−	0.938679i	$-0.387949\pi$
$577$	0.133285	+	0.0485117i	0.00554872	+	0.00201957i	−0.339244	+	0.940698i	$0.610171\pi$
$578$	7.95975	−	13.7867i	0.331082	−	0.573450i
$579$	−44.5679	−	7.85852i	−1.85218	−	0.326589i
$580$	0.0193341	+	1.22957i	0.000802805	+	0.0510550i
$581$	10.9776	+	19.0138i	0.455428	+	0.788824i
$582$	17.9247	+	10.3488i	0.743001	+	0.428972i
$583$	−2.59647	+	0.457828i	−0.107535	+	0.0189613i
$584$	1.78178	−	1.02871i	0.0737305	−	0.0425683i
$585$	11.7000	+	4.05129i	0.483735	+	0.167500i
$586$		−	15.1669i		−	0.626537i
$587$	26.4044	−	9.61043i	1.08983	−	0.396665i	0.266271	−	0.963898i	$-0.414209\pi$
$587$	26.4044	−	9.61043i	1.08983	−	0.396665i	0.823557	+	0.567234i	$0.191986\pi$
$588$	−13.0924	−	2.30855i	−0.539922	−	0.0952028i
$589$	−3.23510	−	2.71457i	−0.133300	−	0.111852i
$590$	−0.145677	−	9.26443i	−0.00599743	−	0.381411i
$591$	56.4860			2.32352
$592$	−6.06025	+	0.522809i	−0.249075	+	0.0214873i
$593$		−	34.9632i		−	1.43577i	−0.696164	−	0.717883i	$-0.745111\pi$
$593$		−	34.9632i		−	1.43577i	0.696164	−	0.717883i	$-0.254889\pi$
$594$	0.498973	+	0.594653i	0.0204731	+	0.0243989i
$595$	2.82982	−	0.544981i	0.116011	−	0.0223420i
$596$	1.80588	−	10.2416i	0.0739715	−	0.419513i
$597$	−48.2878	+	17.5753i	−1.97629	+	0.719310i
$598$	−7.99927			−0.327114
$599$	−12.8708	+	4.68459i	−0.525886	+	0.191407i	−0.591301	−	0.806451i	$-0.701385\pi$
$599$	−12.8708	+	4.68459i	−0.525886	+	0.191407i	0.0654142	+	0.997858i	$0.479163\pi$
$600$	−8.11073	−	9.07080i	−0.331119	−	0.370314i
$601$	−6.99449	−	39.6677i	−0.285311	−	1.61808i	−0.704172	−	0.710029i	$-0.748682\pi$
$601$	−6.99449	−	39.6677i	−0.285311	−	1.61808i	0.418861	−	0.908050i	$-0.362429\pi$
$602$	−2.40506	−	1.38856i	−0.0980230	−	0.0565936i
$603$	−16.0799	+	9.28371i	−0.654823	+	0.378062i
$604$	−9.17911	+	7.70219i	−0.373493	+	0.313398i
$605$	10.0646	−	8.71847i	0.409183	−	0.354456i
$606$	40.1962	+	23.2073i	1.63286	+	0.942732i
$607$	−14.5984	−	5.31338i	−0.592530	−	0.215663i	0.0283119	−	0.999599i	$-0.490987\pi$
$607$	−14.5984	−	5.31338i	−0.592530	−	0.215663i	−0.620842	+	0.783936i	$0.713209\pi$
$608$	0.360743	−	0.991134i	0.0146301	−	0.0401958i
$609$	−1.63415	+	0.288145i	−0.0662192	+	0.0116762i
$610$	−4.84866	+	0.933781i	−0.196317	+	0.0378077i
$611$	−6.79505	+	8.09802i	−0.274898	+	0.327611i
$612$	0.527526	+	2.99175i	0.0213240	+	0.120934i
$613$	−9.88046	+	27.1463i	−0.399068	+	1.09643i	0.563671	+	0.825999i	$0.309388\pi$
$613$	−9.88046	+	27.1463i	−0.399068	+	1.09643i	−0.962739	+	0.270431i	$0.912834\pi$
$614$	4.64211	−	12.7541i	0.187340	−	0.514714i
$615$	−15.9105	−	41.6637i	−0.641574	−	1.68004i
$616$	−5.02767	−	0.886513i	−0.202570	−	0.0357186i
$617$	−4.39844	−	5.24185i	−0.177074	−	0.211029i	0.670206	−	0.742175i	$-0.266206\pi$
$617$	−4.39844	−	5.24185i	−0.177074	−	0.211029i	−0.847280	+	0.531146i	$0.821761\pi$
$618$	22.2597	−	12.8516i	0.895415	−	0.516968i
$619$	−0.145556	+	0.252111i	−0.00585041	+	0.0101332i	−0.868936	−	0.494925i	$-0.835196\pi$
$619$	−0.145556	+	0.252111i	−0.00585041	+	0.0101332i	0.863085	+	0.505058i	$0.168529\pi$
$620$	−7.82301	−	4.35408i	−0.314180	−	0.174864i
$621$	0.689306	−	0.397971i	0.0276609	−	0.0159700i
$622$	−10.9507	−	30.0869i	−0.439084	−	1.20637i
$623$	7.71482			0.309088
$624$	1.57701	+	4.33281i	0.0631311	+	0.173451i
$625$	5.88002	+	24.2987i	0.235201	+	0.971947i
$626$	18.2161	+	15.2851i	0.728063	+	0.610917i
$627$	−8.09660	+	6.79385i	−0.323347	+	0.271320i
$628$			13.6858i			0.546124i
$629$	−3.62038	−	5.18379i	−0.144354	−	0.206691i
$630$	5.10987	−	6.28788i	0.203582	−	0.250515i
$631$	−11.1630	−	13.3036i	−0.444394	−	0.529608i	0.496624	−	0.867966i	$-0.334573\pi$
$631$	−11.1630	−	13.3036i	−0.444394	−	0.529608i	−0.941017	+	0.338358i	$0.890129\pi$
$632$	−10.8743	+	12.9595i	−0.432557	+	0.515501i
$633$	−7.19996	−	1.26955i	−0.286173	−	0.0504600i
$634$	−0.269217	−	0.739669i	−0.0106920	−	0.0293760i
$635$	6.60149	−	8.12338i	0.261972	−	0.322366i
$636$	1.46428	−	0.532953i	0.0580624	−	0.0211330i
$637$	−5.17505	−	8.96345i	−0.205043	−	0.355145i
$638$	2.23008	−	0.393223i	0.0882897	−	0.0155679i
$639$	21.4669	−	37.1818i	0.849219	−	1.47089i
$640$	0.353619	−	2.20793i	0.0139780	−	0.0872761i
$641$	19.5671	−	16.4187i	0.772853	−	0.648501i	−0.168585	−	0.985687i	$-0.553920\pi$
$641$	19.5671	−	16.4187i	0.772853	−	0.648501i	0.941438	+	0.337186i	$0.109475\pi$
$642$	7.41512	−	42.0533i	0.292652	−	1.65971i
$643$	−0.990097	+	1.71490i	−0.0390456	+	0.0676290i	−0.884888	−	0.465804i	$-0.845765\pi$
$643$	−0.990097	+	1.71490i	−0.0390456	+	0.0676290i	0.845842	+	0.533433i	$0.179098\pi$
$644$	−1.79035	+	4.91895i	−0.0705498	+	0.193834i
$645$	−10.4588	+	6.25970i	−0.411817	+	0.246476i
$646$	1.07972	−	0.190384i	0.0424811	−	0.00749057i
$647$	3.49222	+	2.93032i	0.137293	+	0.115203i	0.708848	−	0.705361i	$-0.249215\pi$
$647$	3.49222	+	2.93032i	0.137293	+	0.115203i	−0.571555	+	0.820564i	$0.693660\pi$
$648$	−7.06783	−	5.93061i	−0.277651	−	0.232976i
$649$	−16.8030	+	2.96283i	−0.659576	+	0.116301i
$650$	1.35088	−	9.37646i	0.0529859	−	0.367775i
$651$	4.13199	−	11.3526i	0.161945	−	0.444942i
$652$	−2.35757	+	4.08343i	−0.0923294	+	0.159919i
$653$	−1.89681	+	10.7574i	−0.0742281	+	0.420968i	0.924937	+	0.380120i	$0.124117\pi$
$653$	−1.89681	+	10.7574i	−0.0742281	+	0.420968i	−0.999165	+	0.0408485i	$0.986994\pi$
$654$	−13.9821	+	11.7324i	−0.546745	+	0.458773i
$655$	−19.5439	−	3.13012i	−0.763642	−	0.122304i
$656$	4.09778	−	7.09757i	0.159992	−	0.277114i
$657$	5.92153	−	1.04413i	0.231021	−	0.0407352i
$658$	3.45885	+	5.99090i	0.134840	+	0.233550i
$659$	−7.26901	+	2.64570i	−0.283161	+	0.103062i	−0.479696	−	0.877435i	$-0.659253\pi$
$659$	−7.26901	+	2.64570i	−0.283161	+	0.103062i	0.196536	+	0.980497i	$0.437031\pi$
$660$	−14.1314	+	17.3892i	−0.550064	+	0.676874i
$661$	14.7927	+	40.6426i	0.575369	+	1.58081i	0.795896	+	0.605433i	$0.207000\pi$
$661$	14.7927	+	40.6426i	0.575369	+	1.58081i	−0.220527	+	0.975381i	$0.570778\pi$
$662$	25.0855	+	4.42326i	0.974977	+	0.171915i
$663$	−3.08082	+	3.67157i	−0.119649	+	0.142592i
$664$	11.3825	+	13.5652i	0.441727	+	0.526430i
$665$	−2.26930	−	1.84415i	−0.0879996	−	0.0715131i
$666$	−17.1658	−	4.62184i	−0.665160	−	0.179093i
$667$		−	2.32188i		−	0.0899037i
$668$	−12.3884	+	10.3951i	−0.479322	+	0.402199i
$669$	7.80058	+	6.54547i	0.301588	+	0.253062i
$670$	9.30152	+	10.7376i	0.359349	+	0.414831i
$671$	3.10989	+	8.54435i	0.120056	+	0.329851i
$672$	3.01731			0.116395
$673$	−10.8192	−	29.7256i	−0.417051	−	1.14584i	−0.953365	−	0.301819i	$-0.902406\pi$
$673$	−10.8192	−	29.7256i	−0.417051	−	1.14584i	0.536314	−	0.844018i	$-0.319816\pi$
$674$	1.05831	−	0.611017i	0.0407647	−	0.0235355i
$675$	0.350081	+	0.875189i	0.0134746	+	0.0336860i
$676$	4.70514	−	8.14954i	0.180967	−	0.313444i
$677$	−5.34335	+	3.08498i	−0.205361	+	0.118566i	−0.599154	−	0.800634i	$-0.704496\pi$
$677$	−5.34335	+	3.08498i	−0.205361	+	0.118566i	0.393792	+	0.919199i	$0.371163\pi$
$678$	30.5482	+	36.4060i	1.17320	+	1.39816i
$679$	10.3845	+	1.83106i	0.398520	+	0.0702698i
$680$	2.17139	−	0.829213i	0.0832692	−	0.0317989i
$681$	12.1234	−	33.3088i	0.464570	−	1.27640i
$682$	−5.63880	+	15.4925i	−0.215921	+	0.593238i
$683$	5.29274	+	30.0166i	0.202521	+	1.14855i	0.901293	+	0.433209i	$0.142619\pi$
$683$	5.29274	+	30.0166i	0.202521	+	1.14855i	−0.698772	+	0.715344i	$0.746270\pi$
$684$	1.98141	−	2.36135i	0.0757610	−	0.0902884i
$685$	24.8917	−	4.79377i	0.951062	−	0.183161i
$686$	−15.2172	+	2.68320i	−0.580994	+	0.102445i
$687$	1.27565	−	3.50482i	0.0486691	−	0.133717i
$688$	−2.10482	−	0.766091i	−0.0802454	−	0.0292069i
$689$	1.05062	+	0.606574i	0.0400253	+	0.0231086i
$690$	15.0430	+	17.3656i	0.572679	+	0.661099i
$691$	−14.7766	+	12.3990i	−0.562128	+	0.471681i	−0.879023	−	0.476779i	$-0.841804\pi$
$691$	−14.7766	+	12.3990i	−0.562128	+	0.471681i	0.316895	+	0.948461i	$0.397360\pi$
$692$	0.389897	−	0.225107i	0.0148217	−	0.00855729i
$693$	−12.9213	−	7.46010i	−0.490839	−	0.283386i
$694$	0.847346	+	4.80554i	0.0321648	+	0.182416i
$695$	0.347839	−	2.17184i	0.0131943	−	0.0823827i
$696$	−1.25765	+	0.457748i	−0.0476711	+	0.0173509i
$697$	8.51910			0.322684
$698$	18.6410	−	6.78477i	0.705572	−	0.256807i
$699$	−4.64991	+	26.3710i	−0.175876	+	0.997441i
$700$	−5.46348	−	2.92928i	−0.206500	−	0.110716i
$701$	20.2642	+	24.1500i	0.765370	+	0.912132i	0.998175	−	0.0603913i	$-0.0192349\pi$
$701$	20.2642	+	24.1500i	0.765370	+	0.912132i	−0.232805	+	0.972523i	$0.574790\pi$
$702$		−	0.357184i		−	0.0134810i
$703$	−1.66802	+	6.19512i	−0.0629106	+	0.233653i
$704$	−4.11764			−0.155189
$705$	30.3585	−	0.477367i	1.14337	−	0.0179787i
$706$	2.84685	+	2.38879i	0.107143	+	0.0899033i
$707$	23.2873	+	4.10618i	0.875809	+	0.154429i
$708$	9.47605	−	3.44900i	0.356132	−	0.129621i
$709$		−	3.18237i		−	0.119516i	−0.998213	−	0.0597582i	$-0.980967\pi$
$709$		−	3.18237i		−	0.119516i	0.998213	−	0.0597582i	$-0.0190330\pi$
$710$	−31.0410	−	10.7484i	−1.16495	−	0.403380i
$711$	−42.8178	+	24.7209i	−1.60579	+	0.927105i
$712$	6.12788	−	1.08051i	0.229652	−	0.0404939i
$713$	14.6399	+	8.45234i	0.548268	+	0.316543i
$714$	1.56821	+	2.71622i	0.0586889	+	0.101652i
$715$	−17.4425	+	0.274272i	−0.652314	+	0.0102572i
$716$	−5.88579	−	1.03782i	−0.219962	−	0.0387853i
$717$	−27.4957	+	47.6240i	−1.02685	+	1.77855i
$718$	21.8333	+	7.94666i	0.814811	+	0.296567i
$719$	−11.3145	−	4.11815i	−0.421961	−	0.153581i	0.122308	−	0.992492i	$-0.460971\pi$
$719$	−11.3145	−	4.11815i	−0.421961	−	0.153581i	−0.544269	+	0.838911i	$0.683193\pi$
$720$	3.17811	−	5.71014i	0.118441	−	0.212804i
$721$	8.41722	−	10.0313i	0.313474	−	0.373583i
$722$	13.7026	+	11.4979i	0.509959	+	0.427907i
$723$	6.30364	+	35.7497i	0.234435	+	1.32955i
$724$	−13.2523	−	4.82342i	−0.492516	−	0.179261i
$725$	2.72163	+	0.392109i	0.101079	+	0.0145626i
$726$	12.5505	+	7.24606i	0.465794	+	0.268926i
$727$	−4.56736	+	25.9028i	−0.169394	+	0.960681i	0.775024	+	0.631932i	$0.217738\pi$
$727$	−4.56736	+	25.9028i	−0.169394	+	0.960681i	−0.944418	+	0.328748i	$0.893373\pi$
$728$	1.50996	+	1.79950i	0.0559627	+	0.0666938i
$729$	−12.7940	−	22.1599i	−0.473853	−	0.820738i
$730$	−1.64125	−	4.29781i	−0.0607453	−	0.159069i
$731$	−0.404309	−	2.29295i	−0.0149539	−	0.0848078i
$732$	−2.68701	−	4.65403i	−0.0993146	−	0.172018i
$733$	−1.30630	−	3.58903i	−0.0482493	−	0.132564i	0.913227	−	0.407450i	$-0.133582\pi$
$733$	−1.30630	−	3.58903i	−0.0482493	−	0.132564i	−0.961477	+	0.274886i	$0.911360\pi$
$734$		−	7.25117i		−	0.267646i
$735$	−9.72683	+	28.0908i	−0.358780	+	1.03614i
$736$	−0.733146	+	4.15788i	−0.0270241	+	0.153261i
$737$	16.8154	−	20.0398i	0.619404	−	0.738177i
$738$	18.3482	−	15.3959i	0.675406	−	0.566733i
$739$	11.9430			0.439330			0.219665	−	0.975575i	$-0.429504\pi$
$739$	11.9430			0.439330			0.219665	+	0.975575i	$0.429504\pi$
$740$	−0.988695	+	13.5655i	−0.0363452	+	0.498677i
$741$	4.86329			0.178658
$742$	0.608141	−	0.510291i	0.0223256	−	0.0187334i
$743$	−30.0124	+	35.7674i	−1.10105	+	1.31218i	−0.155088	+	0.987901i	$0.549566\pi$
$743$	−30.0124	+	35.7674i	−1.10105	+	1.31218i	−0.945961	+	0.324279i	$0.894878\pi$
$744$	1.69204	−	9.59605i	0.0620333	−	0.351808i
$745$	−21.9742	−	7.60888i	−0.805073	−	0.278768i
$746$		−	4.74629i		−	0.173774i
$747$	17.7004	+	48.6313i	0.647622	+	1.77933i
$748$	−2.14009	−	3.70675i	−0.0782495	−	0.135532i
$749$	−3.77773	−	21.4246i	−0.138035	−	0.782838i
$750$	−22.8958	+	14.7003i	−0.836037	+	0.536779i
$751$	−21.3011	−	36.8947i	−0.777290	−	1.34631i	−0.933499	−	0.358581i	$-0.883261\pi$
$751$	−21.3011	−	36.8947i	−0.777290	−	1.34631i	0.156209	−	0.987724i	$-0.450073\pi$
$752$	3.58643	+	4.27414i	0.130784	+	0.155862i
$753$	5.24325	−	29.7360i	0.191075	−	1.08364i
$754$	−0.902363	−	0.520980i	−0.0328621	−	0.0189730i
$755$	13.7600	+	22.9905i	0.500777	+	0.836709i
$756$	−0.219641	−	0.0799430i	−0.00798828	−	0.00290750i
$757$	5.72728	+	32.4810i	0.208162	+	1.18054i	0.892387	+	0.451272i	$0.149030\pi$
$757$	5.72728	+	32.4810i	0.208162	+	1.18054i	−0.684225	+	0.729271i	$0.739859\pi$
$758$	−3.12157	−	2.61931i	−0.113380	−	0.0951375i
$759$	27.1950	−	32.4098i	0.987117	−	1.17640i
$760$	−2.06079	−	1.14698i	−0.0747526	−	0.0416053i
$761$	−20.8187	−	7.57737i	−0.754676	−	0.274680i	−0.0641039	−	0.997943i	$-0.520419\pi$
$761$	−20.8187	−	7.57737i	−0.754676	−	0.274680i	−0.690572	+	0.723264i	$0.742641\pi$
$762$	10.7053	+	3.89640i	0.387812	+	0.141152i
$763$	−4.64946	+	8.05310i	−0.168322	+	0.291542i
$764$	−2.08442	−	0.367539i	−0.0754116	−	0.0132971i
$765$	6.79212	−	0.106802i	0.245570	−	0.00386142i
$766$	2.06263	+	3.57258i	0.0745258	+	0.129083i
$767$	6.79905	+	3.92544i	0.245500	+	0.141739i
$768$	2.39665	−	0.422595i	0.0864818	−	0.0152491i
$769$	−21.8284	+	12.6027i	−0.787154	+	0.454463i	−0.838960	−	0.544194i	$-0.816836\pi$
$769$	−21.8284	+	12.6027i	−0.787154	+	0.454463i	0.0518058	+	0.998657i	$0.483502\pi$
$770$	−3.73524	+	10.7872i	−0.134609	+	0.388745i
$771$			63.4057i			2.28350i
$772$	−17.4744	+	6.36017i	−0.628918	+	0.228907i
$773$	−16.1783	−	2.85266i	−0.581891	−	0.102603i	−0.125049	−	0.992151i	$-0.539909\pi$
$773$	−16.1783	−	2.85266i	−0.581891	−	0.102603i	−0.456843	+	0.889547i	$0.651020\pi$
$774$	−5.01467	−	4.20781i	−0.180249	−	0.151246i
$775$	−12.3799	+	15.7330i	−0.444698	+	0.565145i
$776$	8.50485			0.305306
$777$	−18.2857	+	1.57748i	−0.655996	+	0.0565917i
$778$		−	23.6209i		−	0.846851i
$779$	−5.55640	−	6.62185i	−0.199079	−	0.237253i
$780$	10.1242	−	1.94977i	0.362505	−	0.0698131i
$781$	−10.5041	+	59.5717i	−0.375866	+	2.13164i
$782$	−4.12402	+	1.50102i	−0.147474	+	0.0536763i
$783$	0.103677			0.00370511
$784$	−5.13334	+	1.86838i	−0.183334	+	0.0667280i
$785$	30.2174	+	4.83957i	1.07850	+	0.172732i
$786$	−3.74067	−	21.2144i	−0.133425	−	0.756692i
$787$	10.1656	+	5.86909i	0.362363	+	0.209211i	0.670117	−	0.742255i	$-0.266244\pi$
$787$	10.1656	+	5.86909i	0.362363	+	0.209211i	−0.307754	+	0.951466i	$0.599577\pi$
$788$	20.1010	−	11.6053i	0.716068	−	0.413422i
$789$	−40.1718	+	33.7081i	−1.43015	+	1.20004i
$790$	24.7683	+	28.5924i	0.881216	+	1.01727i
$791$	20.9683	+	12.1060i	0.745546	+	0.430441i
$792$	−11.3082	−	4.11585i	−0.401820	−	0.146250i
$793$	1.43096	−	3.93152i	0.0508148	−	0.139613i
$794$	17.3002	−	3.05049i	0.613961	−	0.108258i
$795$	−0.658927	−	3.42148i	−0.0233697	−	0.121347i
$796$	−13.5727	+	16.1753i	−0.481070	+	0.573317i
$797$	2.64712	+	15.0126i	0.0937659	+	0.531773i	0.995119	+	0.0986870i	$0.0314643\pi$
$797$	2.64712	+	15.0126i	0.0937659	+	0.531773i	−0.901353	+	0.433086i	$0.857425\pi$
$798$	1.08848	−	2.99056i	0.0385316	−	0.105865i
$799$	−1.98363	+	5.44998i	−0.0701758	+	0.192806i
$800$	−4.74991	−	1.56153i	−0.167935	−	0.0552085i
$801$	17.9089	+	3.15783i	0.632782	+	0.111576i
$802$	−7.95674	−	9.48248i	−0.280962	−	0.334838i
$803$	−7.33671	+	4.23585i	−0.258907	+	0.149480i
$804$	−7.73065	+	13.3899i	−0.272639	+	0.472225i
$805$	10.2276	+	5.69241i	0.360476	+	0.200631i
$806$	6.56973	−	3.79304i	0.231409	−	0.133604i
$807$	21.1984	+	58.2422i	0.746220	+	2.05022i
$808$	19.0722			0.670957
$809$	1.31089	+	3.60165i	0.0460886	+	0.126627i	0.960602	−	0.277929i	$-0.0896481\pi$
$809$	1.31089	+	3.60165i	0.0460886	+	0.126627i	−0.914513	+	0.404557i	$0.867426\pi$
$810$	−15.5937	+	13.5081i	−0.547907	+	0.474626i
$811$	−10.7445	−	9.01572i	−0.377291	−	0.316585i	0.434347	−	0.900746i	$-0.356979\pi$
$811$	−10.7445	−	9.01572i	−0.377291	−	0.316585i	−0.811638	+	0.584161i	$0.801424\pi$
$812$	−0.522326	+	0.438283i	−0.0183300	+	0.0153807i
$813$		−	20.6440i		−	0.724016i
$814$	24.9539	−	2.15274i	0.874635	−	0.0754534i
$815$	8.18224	+	6.64932i	0.286611	+	0.232915i
$816$	1.62606	+	1.93786i	0.0569234	+	0.0678386i
$817$	−1.51860	+	1.80979i	−0.0531290	+	0.0633167i
$818$	24.3840	+	4.29956i	0.852568	+	0.150331i
$819$	2.34806	+	6.45123i	0.0820477	+	0.225424i
$820$	−14.2219	−	11.5575i	−0.496650	−	0.403604i
$821$	22.1748	−	8.07096i	0.773905	−	0.281678i	0.0752762	−	0.997163i	$-0.476016\pi$
$821$	22.1748	−	8.07096i	0.773905	−	0.281678i	0.698629	+	0.715484i	$0.253794\pi$
$822$	13.7943	+	23.8925i	0.481133	+	0.833347i
$823$	22.7110	−	4.00456i	0.791654	−	0.139590i	0.236823	−	0.971553i	$-0.423894\pi$
$823$	22.7110	−	4.00456i	0.791654	−	0.139590i	0.554831	+	0.831963i	$0.312783\pi$
$824$	5.28086	−	9.14671i	0.183967	−	0.318641i
$825$	33.3970	+	37.3503i	1.16274	+	1.30037i
$826$	3.93558	−	3.30234i	0.136936	−	0.114903i
$827$	−2.75427	+	15.6202i	−0.0957753	+	0.543169i	0.898732	+	0.438499i	$0.144490\pi$
$827$	−2.75427	+	15.6202i	−0.0957753	+	0.543169i	−0.994507	+	0.104670i	$0.966621\pi$
$828$	−6.16950	+	10.6859i	−0.214405	+	0.371360i
$829$	3.51102	−	9.64646i	0.121943	−	0.335035i	−0.863669	−	0.504059i	$-0.831839\pi$
$829$	3.51102	−	9.64646i	0.121943	−	0.335035i	0.985612	+	0.169024i	$0.0540615\pi$
$830$	33.9760	−	20.3349i	1.17932	−	0.705835i
$831$	19.0137	−	3.35263i	0.659578	−	0.116301i
$832$	1.45139	+	1.21786i	0.0503179	+	0.0422217i
$833$	−4.34993	−	3.65003i	−0.150716	−	0.126466i
$834$	2.35748	−	0.415688i	0.0816330	−	0.0143941i
$835$	18.5709	+	31.0287i	0.642673	+	1.07379i
$836$	−1.48541	+	4.08113i	−0.0513740	+	0.141149i
$837$	−0.377415	+	0.653701i	−0.0130454	+	0.0225952i
$838$	−6.02473	+	34.1679i	−0.208121	+	1.18031i
$839$	−5.30558	+	4.45191i	−0.183169	+	0.153697i	−0.729762	−	0.683702i	$-0.760369\pi$
$839$	−5.30558	+	4.45191i	−0.183169	+	0.153697i	0.546593	+	0.837399i	$0.315925\pi$
$840$	1.06698	−	6.66202i	0.0368143	−	0.229862i
$841$	−14.3488	+	24.8528i	−0.494785	+	0.856994i
$842$	−18.9679	+	3.34455i	−0.653676	+	0.115261i
$843$	−38.5502	−	66.7709i	−1.32774	−	2.29971i
$844$	−2.82300	+	1.02749i	−0.0971716	+	0.0353676i
$845$	−16.3298	−	13.2705i	−0.561762	−	0.456517i
$846$	5.57707	+	15.3229i	0.191744	+	0.526811i
$847$	7.27104	+	1.28208i	0.249836	+	0.0440528i
$848$	0.411577	−	0.490498i	0.0141336	−	0.0168438i
$849$	−48.9242	−	58.3056i	−1.67908	−	2.00104i
$850$	−1.06300	−	5.08751i	−0.0364605	−	0.174500i
$851$	2.26927	−	25.5811i	0.0777897	−	0.876908i
$852$		−	35.7515i		−	1.22483i
$853$	−24.8722	+	20.8702i	−0.851607	+	0.714583i	−0.960143	−	0.279509i	$-0.909828\pi$
$853$	−24.8722	+	20.8702i	−0.851607	+	0.714583i	0.108536	+	0.994093i	$0.465384\pi$
$854$	−2.09733	−	1.75986i	−0.0717690	−	0.0602213i
$855$	−4.51303	−	5.20982i	−0.154342	−	0.178172i
$856$	−6.00131	−	16.4885i	−0.205121	−	0.563564i
$857$	−42.3261			−1.44583			−0.722916	−	0.690936i	$-0.757198\pi$
$857$	−42.3261			−1.44583			−0.722916	+	0.690936i	$0.757198\pi$
$858$	−6.49358	−	17.8410i	−0.221687	−	0.609080i
$859$	35.2982	−	20.3794i	1.20436	−	0.695337i	0.242838	−	0.970067i	$-0.421922\pi$
$859$	35.2982	−	20.3794i	1.20436	−	0.695337i	0.961521	+	0.274730i	$0.0885884\pi$
$860$	−2.43578	+	4.37638i	−0.0830593	+	0.149233i
$861$	12.3643	−	21.4156i	0.421374	−	0.729842i
$862$	−22.4534	+	12.9635i	−0.764765	+	0.441537i
$863$	17.4483	+	20.7940i	0.593946	+	0.707837i	0.976359	−	0.216154i	$-0.0693514\pi$
$863$	17.4483	+	20.7940i	0.593946	+	0.707837i	−0.382413	+	0.923991i	$0.624907\pi$
$864$	−0.185658	−	0.0327365i	−0.00631621	−	0.00111372i
$865$	−0.359146	−	0.940468i	−0.0122113	−	0.0319769i
$866$	5.90261	−	16.2173i	0.200579	−	0.551086i
$867$	13.2506	−	36.4056i	0.450013	−	1.23640i
$868$	−0.862033	−	4.88883i	−0.0292593	−	0.165938i
$869$	44.7765	−	53.3625i	1.51894	−	1.81020i
$870$	0.565945	+	2.93867i	0.0191873	+	0.0996304i
$871$	−11.8542	+	2.09022i	−0.401666	+	0.0708245i
$872$	−2.56518	+	7.04777i	−0.0868678	+	0.238667i
$873$	23.3567	+	8.50116i	0.790506	+	0.287721i
$874$	3.85653	+	2.22657i	0.130449	+	0.0753149i
$875$	−8.39963	+	11.0271i	−0.283959	+	0.372785i
$876$	3.83557	−	3.21843i	0.129592	−	0.108741i
$877$	−16.7635	+	9.67841i	−0.566063	+	0.326817i	−0.755576	−	0.655062i	$-0.772643\pi$
$877$	−16.7635	+	9.67841i	−0.566063	+	0.326817i	0.189512	+	0.981878i	$0.439309\pi$
$878$	21.1782	+	12.2272i	0.714730	+	0.412650i
$879$	−6.40944	−	36.3497i	−0.216185	−	1.22605i
$880$	−1.45607	+	9.09146i	−0.0490843	+	0.306473i
$881$	11.8596	−	4.31655i	0.399561	−	0.145428i	−0.134421	−	0.990924i	$-0.542917\pi$
$881$	11.8596	−	4.31655i	0.399561	−	0.145428i	0.533982	+	0.845496i	$0.320695\pi$
$882$	−15.9652			−0.537576
$883$	23.9416	−	8.71402i	0.805699	−	0.293250i	0.0938528	−	0.995586i	$-0.470082\pi$
$883$	23.9416	−	8.71402i	0.805699	−	0.293250i	0.711846	+	0.702336i	$0.247859\pi$
$884$	−0.341991	+	1.93953i	−0.0115024	+	0.0652334i
$885$	−4.26424	−	22.1421i	−0.143341	−	0.744298i
$886$	−9.97259	−	11.8849i	−0.335036	−	0.399280i
$887$		−	54.7337i		−	1.83778i	−0.394517	−	0.918889i	$-0.629088\pi$
$887$		−	54.7337i		−	1.83778i	0.394517	−	0.918889i	$-0.370912\pi$
$888$	−14.3034	+	3.81402i	−0.479990	+	0.127990i
$889$	5.80397			0.194659
$890$	−0.218757	−	13.9120i	−0.00733276	−	0.466332i
$891$	29.1028	+	24.4201i	0.974979	+	0.818105i
$892$	4.12070	+	0.726590i	0.137971	+	0.0243280i
$893$	5.53003	−	2.01276i	0.185055	−	0.0673546i
$894$		−	25.3088i		−	0.846452i
$895$	−4.37277	+	12.6284i	−0.146165	+	0.422121i
$896$	1.07374	−	0.619922i	0.0358710	−	0.0207101i
$897$	−19.1715	+	3.38045i	−0.640117	+	0.112870i
$898$	−1.57628	−	0.910066i	−0.0526011	−	0.0303693i
$899$	1.10098	+	1.90695i	0.0367196	+	0.0636002i
$900$	−11.4837	−	9.03625i	−0.382791	−	0.301208i
$901$	0.655465	+	0.115576i	0.0218367	+	0.00385040i
$902$	−16.8732	+	29.2252i	−0.561816	+	0.973094i
$903$	−6.35090	−	2.31154i	−0.211345	−	0.0769231i
$904$	18.3506	+	6.67908i	0.610333	+	0.222143i
$905$	−15.3360	+	27.5544i	−0.509787	+	0.915939i
$906$	−18.7442	+	22.3385i	−0.622736	+	0.742147i
$907$	10.0491	+	8.43223i	0.333676	+	0.279987i	0.794196	−	0.607662i	$-0.207892\pi$
$907$	10.0491	+	8.43223i	0.333676	+	0.279987i	−0.460520	+	0.887650i	$0.652337\pi$
$908$	−2.52924	−	14.3440i	−0.0839357	−	0.476023i
$909$	52.3777	+	19.0639i	1.73726	+	0.632310i
$910$	4.50711	−	2.69754i	0.149409	−	0.0894227i
$911$	−4.31045	−	2.48864i	−0.142811	−	0.0824523i	0.426892	−	0.904303i	$-0.359609\pi$
$911$	−4.31045	−	2.48864i	−0.142811	−	0.0824523i	−0.569703	+	0.821850i	$0.692942\pi$
$912$	0.445729	−	2.52785i	0.0147595	−	0.0837056i
$913$	−46.8691	−	55.8564i	−1.55114	−	1.84858i
$914$	6.33588	+	10.9741i	0.209572	+	0.362990i
$915$	−11.2260	+	4.28697i	−0.371119	+	0.141723i
$916$	−0.266131	−	1.50931i	−0.00879323	−	0.0498689i
$917$	−5.48734	−	9.50435i	−0.181208	−	0.313861i
$918$	−0.0670236	−	0.184146i	−0.00221211	−	0.00607772i
$919$		−	22.7086i		−	0.749087i	−0.927209	−	0.374543i	$-0.877799\pi$
$919$		−	22.7086i		−	0.749087i	0.927209	−	0.374543i	$-0.122201\pi$
$920$	8.92104	+	3.08904i	0.294118	+	0.101843i
$921$	5.73572	−	32.5289i	0.188998	−	1.07186i
$922$	4.33729	−	5.16898i	0.142841	−	0.170231i
$923$	21.3218	−	17.8911i	0.701817	−	0.588894i
$924$	−12.4242			−0.408727
$925$	29.6020	+	6.97998i	0.973309	+	0.229500i
$926$	7.87269			0.258713
$927$	23.6455	−	19.8409i	0.776619	−	0.651661i
$928$	−0.353499	+	0.421284i	−0.0116042	+	0.0138293i
$929$	6.18154	−	35.0572i	0.202810	−	1.15019i	−0.698040	−	0.716059i	$-0.745944\pi$
$929$	6.18154	−	35.0572i	0.202810	−	1.15019i	0.900849	−	0.434132i	$-0.142945\pi$
$930$	−20.5891	−	7.12925i	−0.675142	−	0.233777i
$931$			5.76184i			0.188837i
$932$	3.76333	+	10.3397i	0.123272	+	0.338687i
$933$	−38.9597	−	67.4801i	−1.27548	−	2.20920i
$934$	−7.12155	−	40.3883i	−0.233024	−	1.32155i
$935$	−8.94102	+	3.41440i	−0.292403	+	0.111663i
$936$	2.76860	+	4.79535i	0.0904944	+	0.156741i
$937$	−24.9150	−	29.6926i	−0.813939	−	0.970015i	0.185982	−	0.982553i	$-0.440453\pi$
$937$	−24.9150	−	29.6926i	−0.813939	−	0.970015i	−0.999921	+	0.0125383i	$0.996009\pi$
$938$	−1.36782	+	7.75730i	−0.0446609	+	0.253285i
$939$	50.1172	+	28.9352i	1.63551	+	0.944263i
$940$	10.7052	−	6.40717i	0.349166	−	0.208979i
$941$	−30.1408	−	10.9704i	−0.982563	−	0.357624i	−0.199727	−	0.979852i	$-0.564006\pi$
$941$	−30.1408	−	10.9704i	−0.982563	−	0.357624i	−0.782836	+	0.622228i	$0.786228\pi$
$942$	5.78356	+	32.8002i	0.188439	+	1.06869i
$943$	26.5065	+	22.2416i	0.863172	+	0.724287i
$944$	2.66351	−	3.17425i	0.0866900	−	0.103313i
$945$	−0.254178	+	0.456684i	−0.00826840	+	0.0148559i
$946$	8.66688	+	3.15449i	0.281784	+	0.102561i
$947$	−10.4391	−	3.79951i	−0.339224	−	0.123467i	0.166791	−	0.985992i	$-0.446660\pi$
$947$	−10.4391	−	3.79951i	−0.339224	−	0.123467i	−0.506015	+	0.862525i	$0.668882\pi$
$948$	−20.5853	+	35.6548i	−0.668580	+	1.15802i
$949$	3.83888	+	0.676898i	0.124615	+	0.0219730i
$950$	−3.26118	+	4.14448i	−0.105807	+	0.134465i
$951$	−0.957801	−	1.65896i	−0.0310588	−	0.0537955i
$952$	1.11612	+	0.644394i	0.0361737	+	0.0208849i
$953$	15.1970	−	2.67964i	0.492279	−	0.0868021i	0.0780026	−	0.996953i	$-0.475146\pi$
$953$	15.1970	−	2.67964i	0.492279	−	0.0868021i	0.414277	+	0.910151i	$0.364035\pi$
$954$	1.62059	−	0.935650i	0.0524686	−	0.0302928i
$955$	−1.54859	+	4.47228i	−0.0501112	+	0.144720i
$956$			22.5965i			0.730824i
$957$	5.17855	−	1.88484i	0.167399	−	0.0609282i
$958$	−14.0158	−	2.47137i	−0.452830	−	0.0798462i
$959$	10.7671	+	9.03466i	0.347687	+	0.291744i
$960$	−0.0855574	−	5.44108i	−0.00276135	−	0.175610i
$961$	14.9685			0.482855
$962$	−9.43250	−	6.62175i	−0.304116	−	0.213494i
$963$		−	51.2807i		−	1.65250i
$964$	9.58815	+	11.4267i	0.308813	+	0.368030i
$965$	7.86352	+	40.8313i	0.253136	+	1.31441i
$966$	−2.21213	+	12.5456i	−0.0711742	+	0.403649i
$967$	−41.9897	+	15.2830i	−1.35030	+	0.491468i	−0.913040	−	0.407869i	$-0.866272\pi$
$967$	−41.9897	+	15.2830i	−1.35030	+	0.491468i	−0.437256	+	0.899337i	$0.644050\pi$
$968$	5.95495			0.191399
$969$	2.50727	−	0.912570i	0.0805450	−	0.0293160i
$970$	3.00748	−	18.7781i	0.0965642	−	0.602929i
$971$	−9.74467	−	55.2648i	−0.312721	−	1.77353i	−0.584721	−	0.811234i	$-0.698796\pi$
$971$	−9.74467	−	55.2648i	−0.312721	−	1.77353i	0.272000	−	0.962297i	$-0.412315\pi$
$972$	−18.9556	−	10.9440i	−0.608001	−	0.351029i
$973$	1.05619	−	0.609790i	0.0338598	−	0.0195490i
$974$	−23.3127	+	19.5617i	−0.746988	+	0.626797i
$975$	−0.724852	−	23.0430i	−0.0232138	−	0.737967i
$976$	−1.91239	−	1.10412i	−0.0612140	−	0.0353419i
$977$	20.9693	+	7.63221i	0.670868	+	0.244176i	0.654921	−	0.755697i	$-0.272702\pi$
$977$	20.9693	+	7.63221i	0.670868	+	0.244176i	0.0159463	+	0.999873i	$0.494924\pi$
$978$	−3.92464	+	10.7829i	−0.125496	+	0.344798i
$979$	−25.2324	+	4.44915i	−0.806431	+	0.142196i
$980$	2.31001	+	11.9948i	0.0737907	+	0.383158i
$981$	−14.0894	+	16.7911i	−0.449840	+	0.536099i
$982$	−3.32718	−	18.8694i	−0.106175	−	0.602147i
$983$	20.0972	−	55.2165i	0.641000	−	1.76113i	−0.00756065	−	0.999971i	$-0.502407\pi$
$983$	20.0972	−	55.2165i	0.641000	−	1.76113i	0.648561	−	0.761163i	$-0.275371\pi$
$984$	6.82157	−	18.7421i	0.217464	−	0.597477i
$985$	−18.5156	−	48.4854i	−0.589957	−	1.54487i
$986$	−0.562971	−	0.0992671i	−0.0179287	−	0.00316131i
$987$	10.8214	+	12.8964i	0.344449	+	0.410498i
$988$	1.73064	−	0.999187i	0.0550591	−	0.0317884i
$989$	4.72845	−	8.18991i	0.150356	−	0.260424i
$990$	−13.0863	+	23.5123i	−0.415910	+	0.747269i
$991$	−13.6398	+	7.87497i	−0.433284	+	0.250157i	−0.700745	−	0.713412i	$-0.747149\pi$
$991$	−13.6398	+	7.87497i	−0.433284	+	0.250157i	0.267461	+	0.963569i	$0.413815\pi$
$992$	−1.36943	−	3.76247i	−0.0434793	−	0.119458i
$993$	61.9906			1.96721
$994$	−6.22958	−	17.1156i	−0.197590	−	0.542875i
$995$	30.9143	+	35.6874i	0.980049	+	1.13137i
$996$	33.0125	+	27.7008i	1.04604	+	0.877733i
$997$	−26.7872	+	22.4771i	−0.848358	+	0.711857i	−0.959427	−	0.281956i	$-0.909017\pi$
$997$	−26.7872	+	22.4771i	−0.848358	+	0.711857i	0.111069	+	0.993813i	$0.464572\pi$
$998$		−	12.1720i		−	0.385297i
$999$	1.14225	+	0.101328i	0.0361391	+	0.00320587i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.v.a.99.9	✓	60
5.4	even	2		370.2.v.b.99.2	yes	60
37.3	even	18		370.2.v.b.299.2	yes	60
185.114	even	18	inner	370.2.v.a.299.9	yes	60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.v.a.99.9	✓	60	1.1	even	1	trivial
370.2.v.a.299.9	yes	60	185.114	even	18	inner
370.2.v.b.99.2	yes	60	5.4	even	2
370.2.v.b.299.2	yes	60	37.3	even	18

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:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.v (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.766044 - 0.642788i) q^{2} +(1.56430 - 1.86427i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-2.11298 - 0.731650i) q^{5} -2.43363i q^{6} +(-0.424051 - 1.16507i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-0.507493 - 2.87813i) q^{9} +O(q^{10})\)	\(q+(0.766044 - 0.642788i) q^{2} +(1.56430 - 1.86427i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-2.11298 - 0.731650i) q^{5} -2.43363i q^{6} +(-0.424051 - 1.16507i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-0.507493 - 2.87813i) q^{9} +(-2.08893 + 0.797722i) q^{10} +(2.05882 + 3.56598i) q^{11} +(-1.56430 - 1.86427i) q^{12} +(0.329003 - 1.86587i) q^{13} +(-1.07374 - 0.619922i) q^{14} +(-4.66933 + 2.79463i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(-0.180503 - 1.02368i) q^{17} +(-2.23879 - 1.87857i) q^{18} +(-0.677975 + 0.807980i) q^{19} +(-1.08745 + 1.95383i) q^{20} +(-2.83535 - 1.03198i) q^{21} +(3.86931 + 1.40832i) q^{22} +(2.11101 - 3.65637i) q^{23} +(-2.39665 - 0.422595i) q^{24} +(3.92938 + 3.09192i) q^{25} +(-0.947328 - 1.64082i) q^{26} +(0.163265 + 0.0942609i) q^{27} +(-1.22101 + 0.215297i) q^{28} +(0.476268 - 0.274973i) q^{29} +(-1.78056 + 5.14221i) q^{30} +4.00394i q^{31} +(-0.939693 + 0.342020i) q^{32} +(9.86855 + 1.74009i) q^{33} +(-0.796285 - 0.668162i) q^{34} +(0.0435884 + 2.77203i) q^{35} -2.92253 q^{36} +(5.51596 - 2.56401i) q^{37} +1.05474i q^{38} +(-2.96382 - 3.53214i) q^{39} +(0.422863 + 2.19572i) q^{40} +(-1.42315 + 8.07106i) q^{41} +(-2.83535 + 1.03198i) q^{42} +2.23990 q^{43} +(3.86931 - 1.40832i) q^{44} +(-1.03346 + 6.45275i) q^{45} +(-0.733146 - 4.15788i) q^{46} +(-4.83198 - 2.78975i) q^{47} +(-2.10758 + 1.21681i) q^{48} +(4.18474 - 3.51141i) q^{49} +(4.99753 - 0.157205i) q^{50} +(-2.19078 - 1.26485i) q^{51} +(-1.78039 - 0.648010i) q^{52} +(-0.218996 + 0.601685i) q^{53} +(0.185658 - 0.0327365i) q^{54} +(-1.74120 - 9.04118i) q^{55} +(-0.796956 + 0.949775i) q^{56} +(0.445729 + 2.52785i) q^{57} +(0.188093 - 0.516781i) q^{58} +(-1.41723 + 3.89380i) q^{59} +(1.94136 + 5.08368i) q^{60} +(2.17469 + 0.383456i) q^{61} +(2.57368 + 3.06719i) q^{62} +(-3.13803 + 1.81174i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-2.06034 + 3.70184i) q^{65} +(8.67826 - 5.01040i) q^{66} +(-2.17292 - 5.97005i) q^{67} -1.03948 q^{68} +(-3.51419 - 9.65516i) q^{69} +(1.81522 + 2.09548i) q^{70} +(11.2537 + 9.44296i) q^{71} +(-2.23879 + 1.87857i) q^{72} +2.05742i q^{73} +(2.57736 - 5.50974i) q^{74} +(11.9109 - 2.48869i) q^{75} +(0.677975 + 0.807980i) q^{76} +(3.28158 - 3.91083i) q^{77} +(-4.54083 - 0.800671i) q^{78} +(-5.78610 - 15.8972i) q^{79} +(1.73531 + 1.41021i) q^{80} +(8.66998 - 3.15561i) q^{81} +(4.09778 + 7.09757i) q^{82} +(-17.4390 + 3.07497i) q^{83} +(-1.50866 + 2.61307i) q^{84} +(-0.367578 + 2.29509i) q^{85} +(1.71586 - 1.43978i) q^{86} +(0.232405 - 1.31803i) q^{87} +(2.05882 - 3.56598i) q^{88} +(-2.12819 + 5.84716i) q^{89} +(3.35607 + 5.60739i) q^{90} +(-2.31339 + 0.407913i) q^{91} +(-3.23425 - 2.71386i) q^{92} +(7.46440 + 6.26337i) q^{93} +(-5.49473 + 0.968869i) q^{94} +(2.02371 - 1.21121i) q^{95} +(-0.832349 + 2.28686i) q^{96} +(-4.25243 + 7.36542i) q^{97} +(0.948603 - 5.37980i) q^{98} +(9.21853 - 7.73527i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9}+O(q^{10}) \) 60 * q - 3 * q^5 - 30 * q^8 - 6 * q^9	\( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9} + 9 q^{10} + 6 q^{11} - 3 q^{13} + 9 q^{14} + 18 q^{15} + 3 q^{17} + 12 q^{18} + 3 q^{19} - 6 q^{20} + 12 q^{21} - 3 q^{22} - 18 q^{23} - 15 q^{25} - 27 q^{26} + 6 q^{30} - 66 q^{33} + 21 q^{34} - 3 q^{35} - 72 q^{36} + 6 q^{37} + 12 q^{39} + 6 q^{40} - 57 q^{41} + 12 q^{42} + 60 q^{43} - 3 q^{44} + 45 q^{45} - 21 q^{46} - 18 q^{47} - 6 q^{49} + 36 q^{50} - 3 q^{52} - 6 q^{53} + 3 q^{55} + 30 q^{57} + 15 q^{58} - 12 q^{59} + 9 q^{60} + 42 q^{61} - 12 q^{62} - 9 q^{63} - 30 q^{64} - 30 q^{65} - 18 q^{67} - 24 q^{68} + 36 q^{69} + 18 q^{71} + 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} + 21 q^{77} + 6 q^{78} - 24 q^{79} - 36 q^{81} + 27 q^{82} + 30 q^{83} + 12 q^{84} + 33 q^{85} - 18 q^{86} - 30 q^{87} + 6 q^{88} + 3 q^{89} - 3 q^{90} + 57 q^{91} + 15 q^{92} + 60 q^{93} + 3 q^{94} - 150 q^{95} + 84 q^{97} - 6 q^{98} - 45 q^{99}+O(q^{100}) \) 60 * q - 3 * q^5 - 30 * q^8 - 6 * q^9 + 9 * q^10 + 6 * q^11 - 3 * q^13 + 9 * q^14 + 18 * q^15 + 3 * q^17 + 12 * q^18 + 3 * q^19 - 6 * q^20 + 12 * q^21 - 3 * q^22 - 18 * q^23 - 15 * q^25 - 27 * q^26 + 6 * q^30 - 66 * q^33 + 21 * q^34 - 3 * q^35 - 72 * q^36 + 6 * q^37 + 12 * q^39 + 6 * q^40 - 57 * q^41 + 12 * q^42 + 60 * q^43 - 3 * q^44 + 45 * q^45 - 21 * q^46 - 18 * q^47 - 6 * q^49 + 36 * q^50 - 3 * q^52 - 6 * q^53 + 3 * q^55 + 30 * q^57 + 15 * q^58 - 12 * q^59 + 9 * q^60 + 42 * q^61 - 12 * q^62 - 9 * q^63 - 30 * q^64 - 30 * q^65 - 18 * q^67 - 24 * q^68 + 36 * q^69 + 18 * q^71 + 12 * q^72 + 3 * q^74 - 78 * q^75 - 3 * q^76 + 21 * q^77 + 6 * q^78 - 24 * q^79 - 36 * q^81 + 27 * q^82 + 30 * q^83 + 12 * q^84 + 33 * q^85 - 18 * q^86 - 30 * q^87 + 6 * q^88 + 3 * q^89 - 3 * q^90 + 57 * q^91 + 15 * q^92 + 60 * q^93 + 3 * q^94 - 150 * q^95 + 84 * q^97 - 6 * q^98 - 45 * q^99

Introduction

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