LMFDB - Embedded newform 370.2.v.a.289.5

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			289.5
Character	$\chi$	$=$	370.289
Dual form			370.2.v.a.169.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.939693 + 0.342020i) q^{2} +(-0.0975036 + 0.267889i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.23279 - 0.121078i) q^{5} -0.285081i q^{6} +(-3.86387 + 0.681305i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(2.23588 + 1.87612i) q^{9} +O(q^{10})$	\(q+(-0.939693 + 0.342020i) q^{2} +(-0.0975036 + 0.267889i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.23279 - 0.121078i) q^{5} -0.285081i q^{6} +(-3.86387 + 0.681305i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(2.23588 + 1.87612i) q^{9} +(2.13955 - 0.649882i) q^{10} +(2.37253 - 4.10935i) q^{11} +(0.0975036 + 0.267889i) q^{12} +(3.78779 - 3.17833i) q^{13} +(3.39783 - 1.96174i) q^{14} +(0.250140 - 0.586333i) q^{15} +(0.173648 - 0.984808i) q^{16} +(0.839038 + 0.704036i) q^{17} +(-2.74271 - 0.998264i) q^{18} +(2.10893 - 5.79425i) q^{19} +(-1.78824 + 1.34246i) q^{20} +(0.194227 - 1.10152i) q^{21} +(-0.823972 + 4.67298i) q^{22} +(-3.19779 - 5.53873i) q^{23} +(-0.183247 - 0.218385i) q^{24} +(4.97068 + 0.540684i) q^{25} +(-2.47230 + 4.28215i) q^{26} +(-1.46126 + 0.843660i) q^{27} +(-2.52196 + 3.00556i) q^{28} +(-4.58799 - 2.64888i) q^{29} +(-0.0345171 + 0.636526i) q^{30} +1.56908i q^{31} +(0.173648 + 0.984808i) q^{32} +(0.869518 + 1.03625i) q^{33} +(-1.02923 - 0.374610i) q^{34} +(8.70969 - 1.05338i) q^{35} +2.91873 q^{36} +(-1.98952 - 5.74820i) q^{37} +6.16611i q^{38} +(0.482117 + 1.32460i) q^{39} +(1.22125 - 1.87311i) q^{40} +(-6.32885 + 5.31054i) q^{41} +(0.194227 + 1.10152i) q^{42} +9.58454 q^{43} +(-0.823972 - 4.67298i) q^{44} +(-4.76508 - 4.45970i) q^{45} +(4.89930 + 4.11100i) q^{46} +(7.68115 - 4.43471i) q^{47} +(0.246888 + 0.142541i) q^{48} +(7.88748 - 2.87081i) q^{49} +(-4.85584 + 1.19200i) q^{50} +(-0.270413 + 0.156123i) q^{51} +(0.858621 - 4.86948i) q^{52} +(2.04234 + 0.360119i) q^{53} +(1.08459 - 1.29256i) q^{54} +(-5.79491 + 8.88804i) q^{55} +(1.34191 - 3.68686i) q^{56} +(1.34659 + 1.12992i) q^{57} +(5.21727 + 0.919946i) q^{58} +(-7.40857 - 1.30633i) q^{59} +(-0.185269 - 0.609945i) q^{60} +(5.48206 + 6.53326i) q^{61} +(-0.536657 - 1.47445i) q^{62} +(-9.91735 - 5.72578i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-8.84215 + 6.63792i) q^{65} +(-1.17150 - 0.676365i) q^{66} +(-3.23941 + 0.571196i) q^{67} +1.09529 q^{68} +(1.79556 - 0.316606i) q^{69} +(-7.82416 + 3.96874i) q^{70} +(-13.2396 - 4.81882i) q^{71} +(-2.74271 + 0.998264i) q^{72} -2.00485i q^{73} +(3.83554 + 4.72108i) q^{74} +(-0.629502 + 1.27887i) q^{75} +(-2.10893 - 5.79425i) q^{76} +(-6.36744 + 17.4944i) q^{77} +(-0.906083 - 1.07983i) q^{78} +(12.7914 - 2.25546i) q^{79} +(-0.506958 + 2.17784i) q^{80} +(1.43697 + 8.14944i) q^{81} +(4.13086 - 7.15487i) q^{82} +(-0.774635 + 0.923174i) q^{83} +(-0.559255 - 0.968659i) q^{84} +(-1.78815 - 1.67355i) q^{85} +(-9.00652 + 3.27811i) q^{86} +(1.15695 - 0.970797i) q^{87} +(2.37253 + 4.10935i) q^{88} +(-2.09954 - 0.370205i) q^{89} +(6.00302 + 2.56099i) q^{90} +(-12.4701 + 14.8613i) q^{91} +(-6.00988 - 2.18742i) q^{92} +(-0.420339 - 0.152991i) q^{93} +(-5.70116 + 6.79437i) q^{94} +(-5.41036 + 12.6820i) q^{95} +(-0.280750 - 0.0495039i) q^{96} +(5.07438 + 8.78908i) q^{97} +(-6.42993 + 5.39535i) q^{98} +(13.0143 - 4.73683i) 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 $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{7}{18}\right)$	$-1$

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 $

$2$	−0.939693	+	0.342020i	−0.664463	+	0.241845i
$2$	−0.939693	+	0.342020i	−0.664463	+	0.241845i
$3$	−0.0975036	+	0.267889i	−0.0562937	+	0.154666i	−0.964652	−	0.263527i	$-0.915114\pi$
$3$	−0.0975036	+	0.267889i	−0.0562937	+	0.154666i	0.908358	+	0.418193i	$0.137336\pi$
$4$	0.766044	−	0.642788i	0.383022	−	0.321394i
$5$	−2.23279	−	0.121078i	−0.998533	−	0.0541478i
$5$	−2.23279	−	0.121078i	−0.998533	−	0.0541478i
$6$		−	0.285081i		−	0.116384i
$7$	−3.86387	+	0.681305i	−1.46041	+	0.257509i	−0.846719	−	0.532040i	$-0.821425\pi$
$7$	−3.86387	+	0.681305i	−1.46041	+	0.257509i	−0.613687	+	0.789549i	$0.710314\pi$
$8$	−0.500000	+	0.866025i	−0.176777	+	0.306186i
$9$	2.23588	+	1.87612i	0.745292	+	0.625374i
$10$	2.13955	−	0.649882i	0.676584	−	0.205511i
$11$	2.37253	−	4.10935i	0.715345	−	1.23901i	−0.247481	−	0.968893i	$-0.579603\pi$
$11$	2.37253	−	4.10935i	0.715345	−	1.23901i	0.962826	−	0.270122i	$-0.0870640\pi$
$12$	0.0975036	+	0.267889i	0.0281469	+	0.0773329i
$13$	3.78779	−	3.17833i	1.05054	−	0.881510i	0.0573922	−	0.998352i	$-0.481721\pi$
$13$	3.78779	−	3.17833i	1.05054	−	0.881510i	0.993151	+	0.116842i	$0.0372770\pi$
$14$	3.39783	−	1.96174i	0.908109	−	0.524297i
$15$	0.250140	−	0.586333i	0.0645859	−	0.151391i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	0.839038	+	0.704036i	0.203497	+	0.170754i	0.738841	−	0.673880i	$-0.235374\pi$
$17$	0.839038	+	0.704036i	0.203497	+	0.170754i	−0.535344	+	0.844634i	$0.679818\pi$
$18$	−2.74271	−	0.998264i	−0.646462	−	0.235293i
$19$	2.10893	−	5.79425i	0.483823	−	1.32929i	−0.422369	−	0.906424i	$-0.638801\pi$
$19$	2.10893	−	5.79425i	0.483823	−	1.32929i	0.906191	−	0.422868i	$-0.138977\pi$
$20$	−1.78824	+	1.34246i	−0.399863	+	0.300182i
$21$	0.194227	−	1.10152i	0.0423839	−	0.240371i
$22$	−0.823972	+	4.67298i	−0.175671	+	0.996282i
$23$	−3.19779	−	5.53873i	−0.666785	−	1.15491i	−0.978798	−	0.204828i	$-0.934337\pi$
$23$	−3.19779	−	5.53873i	−0.666785	−	1.15491i	0.312013	−	0.950078i	$-0.398997\pi$
$24$	−0.183247	−	0.218385i	−0.0374051	−	0.0445777i
$25$	4.97068	+	0.540684i	0.994136	+	0.108137i
$26$	−2.47230	+	4.28215i	−0.484858	+	0.839799i
$27$	−1.46126	+	0.843660i	−0.281220	+	0.162362i
$28$	−2.52196	+	3.00556i	−0.476606	+	0.567997i
$29$	−4.58799	−	2.64888i	−0.851969	−	0.491884i	0.00934576	−	0.999956i	$-0.497025\pi$
$29$	−4.58799	−	2.64888i	−0.851969	−	0.491884i	−0.861315	+	0.508072i	$0.830358\pi$
$30$	−0.0345171	+	0.636526i	−0.00630194	+	0.116213i
$31$			1.56908i			0.281815i	0.990023	+	0.140907i	$0.0450020\pi$
$31$			1.56908i			0.281815i	−0.990023	+	0.140907i	$0.954998\pi$
$32$	0.173648	+	0.984808i	0.0306970	+	0.174091i
$33$	0.869518	+	1.03625i	0.151364	+	0.180388i
$34$	−1.02923	−	0.374610i	−0.176512	−	0.0642451i
$35$	8.70969	−	1.05338i	1.47221	−	0.178053i
$36$	2.91873			0.486455
$37$	−1.98952	−	5.74820i	−0.327076	−	0.944998i
$37$	−1.98952	−	5.74820i	−0.327076	−	0.944998i
$38$			6.16611i			1.00028i
$39$	0.482117	+	1.32460i	0.0772004	+	0.212106i
$40$	1.22125	−	1.87311i	0.193097	−	0.296165i
$41$	−6.32885	+	5.31054i	−0.988401	+	0.829366i	−0.985335	−	0.170629i	$-0.945420\pi$
$41$	−6.32885	+	5.31054i	−0.988401	+	0.829366i	−0.00306512	+	0.999995i	$0.500976\pi$
$42$	0.194227	+	1.10152i	0.0299699	+	0.169968i
$43$	9.58454			1.46163			0.730814	−	0.682576i	$-0.239141\pi$
$43$	9.58454			1.46163			0.730814	+	0.682576i	$0.239141\pi$
$44$	−0.823972	−	4.67298i	−0.124218	−	0.704478i
$45$	−4.76508	−	4.45970i	−0.710336	−	0.664813i
$46$	4.89930	+	4.11100i	0.722362	+	0.606134i
$47$	7.68115	−	4.43471i	1.12041	−	0.646869i	0.178905	−	0.983866i	$-0.442745\pi$
$47$	7.68115	−	4.43471i	1.12041	−	0.646869i	0.941506	+	0.336997i	$0.109411\pi$
$48$	0.246888	+	0.142541i	0.0356352	+	0.0205740i
$49$	7.88748	−	2.87081i	1.12678	−	0.410115i
$50$	−4.85584	+	1.19200i	−0.686719	+	0.168574i
$51$	−0.270413	+	0.156123i	−0.0378653	+	0.0218616i
$52$	0.858621	−	4.86948i	0.119069	−	0.675276i
$53$	2.04234	+	0.360119i	0.280537	+	0.0494662i	0.312146	−	0.950034i	$-0.398952\pi$
$53$	2.04234	+	0.360119i	0.280537	+	0.0494662i	−0.0316093	+	0.999500i	$0.510063\pi$
$54$	1.08459	−	1.29256i	0.147594	−	0.175895i
$55$	−5.79491	+	8.88804i	−0.781386	+	1.19846i
$56$	1.34191	−	3.68686i	0.179320	−	0.492678i
$57$	1.34659	+	1.12992i	0.178360	+	0.149662i
$58$	5.21727	+	0.919946i	0.685062	+	0.120795i
$59$	−7.40857	−	1.30633i	−0.964514	−	0.170070i	−0.330854	−	0.943682i	$-0.607337\pi$
$59$	−7.40857	−	1.30633i	−0.964514	−	0.170070i	−0.633660	+	0.773612i	$0.718448\pi$
$60$	−0.185269	−	0.609945i	−0.0239182	−	0.0787435i
$61$	5.48206	+	6.53326i	0.701906	+	0.836499i	0.992741	−	0.120274i	$-0.0383775\pi$
$61$	5.48206	+	6.53326i	0.701906	+	0.836499i	−0.290835	+	0.956773i	$0.593933\pi$
$62$	−0.536657	−	1.47445i	−0.0681555	−	0.187256i
$63$	−9.91735	−	5.72578i	−1.24947	−	0.721381i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	−8.84215	+	6.63792i	−1.09673	+	0.823332i
$66$	−1.17150	−	0.676365i	−0.144201	−	0.0832548i
$67$	−3.23941	+	0.571196i	−0.395757	+	0.0697827i	−0.367985	−	0.929832i	$-0.619952\pi$
$67$	−3.23941	+	0.571196i	−0.395757	+	0.0697827i	−0.0277719	+	0.999614i	$0.508841\pi$
$68$	1.09529			0.132823
$69$	1.79556	−	0.316606i	0.216160	−	0.0381149i
$70$	−7.82416	+	3.96874i	−0.935166	+	0.474355i
$71$	−13.2396	−	4.81882i	−1.57125	−	0.571889i	−0.597973	−	0.801517i	$-0.704027\pi$
$71$	−13.2396	−	4.81882i	−1.57125	−	0.571889i	−0.973278	+	0.229628i	$0.926249\pi$
$72$	−2.74271	+	0.998264i	−0.323231	+	0.117647i
$73$		−	2.00485i		−	0.234650i	−0.993094	−	0.117325i	$-0.962568\pi$
$73$		−	2.00485i		−	0.234650i	0.993094	−	0.117325i	$-0.0374319\pi$
$74$	3.83554	+	4.72108i	0.445873	+	0.548815i
$75$	−0.629502	+	1.27887i	−0.0726887	+	0.147671i
$76$	−2.10893	−	5.79425i	−0.241911	−	0.664646i
$77$	−6.36744	+	17.4944i	−0.725637	+	1.99367i
$78$	−0.906083	−	1.07983i	−0.102594	−	0.122266i
$79$	12.7914	−	2.25546i	1.43914	−	0.253760i	0.601016	−	0.799237i	$-0.294763\pi$
$79$	12.7914	−	2.25546i	1.43914	−	0.253760i	0.838126	+	0.545477i	$0.183652\pi$
$80$	−0.506958	+	2.17784i	−0.0566797	+	0.243490i
$81$	1.43697	+	8.14944i	0.159663	+	0.905494i
$82$	4.13086	−	7.15487i	0.456178	−	0.790123i
$83$	−0.774635	+	0.923174i	−0.0850272	+	0.101331i	−0.806881	−	0.590714i	$-0.798846\pi$
$83$	−0.774635	+	0.923174i	−0.0850272	+	0.101331i	0.721854	+	0.692046i	$0.243290\pi$
$84$	−0.559255	−	0.968659i	−0.0610198	−	0.105689i
$85$	−1.78815	−	1.67355i	−0.193952	−	0.181522i
$86$	−9.00652	+	3.27811i	−0.971198	+	0.353487i
$87$	1.15695	−	0.970797i	0.124038	−	0.104080i
$88$	2.37253	+	4.10935i	0.252913	+	0.438058i
$89$	−2.09954	−	0.370205i	−0.222551	−	0.0392417i	0.0612608	−	0.998122i	$-0.480488\pi$
$89$	−2.09954	−	0.370205i	−0.222551	−	0.0392417i	−0.283811	+	0.958880i	$0.591599\pi$
$90$	6.00302	+	2.56099i	0.632773	+	0.269952i
$91$	−12.4701	+	14.8613i	−1.30722	+	1.55789i
$92$	−6.00988	−	2.18742i	−0.626573	−	0.228054i
$93$	−0.420339	−	0.152991i	−0.0435871	−	0.0158644i
$94$	−5.70116	+	6.79437i	−0.588029	+	0.700786i
$95$	−5.41036	+	12.6820i	−0.555091	+	1.30114i
$96$	−0.280750	−	0.0495039i	−0.0286540	−	0.00505247i
$97$	5.07438	+	8.78908i	0.515225	+	0.892396i	0.999844	+	0.0176707i	$0.00562506\pi$
$97$	5.07438	+	8.78908i	0.515225	+	0.892396i	−0.484619	+	0.874726i	$0.661042\pi$
$98$	−6.42993	+	5.39535i	−0.649521	+	0.545013i
$99$	13.0143	−	4.73683i	1.30799	−	0.476069i
$100$	4.15531	−	2.78090i	0.415531	−	0.278090i
$101$	−3.28657	−	5.69251i	−0.327026	−	0.566426i	0.654894	−	0.755721i	$-0.272713\pi$
$101$	−3.28657	−	5.69251i	−0.327026	−	0.566426i	−0.981920	+	0.189295i	$0.939380\pi$
$102$	0.200708	−	0.239194i	0.0198730	−	0.0236837i
$103$	2.51798	−	4.36128i	0.248104	−	0.429729i	−0.714895	−	0.699231i	$-0.753526\pi$
$103$	2.51798	−	4.36128i	0.248104	−	0.429729i	0.963000	+	0.269502i	$0.0868591\pi$
$104$	0.858621	+	4.86948i	0.0841948	+	0.477492i
$105$	−0.567038	+	2.43594i	−0.0553373	+	0.237723i
$106$	−2.04234	+	0.360119i	−0.198370	+	0.0349779i
$107$	−2.53882	−	3.02565i	−0.245437	−	0.292501i	0.629235	−	0.777215i	$-0.283368\pi$
$107$	−2.53882	−	3.02565i	−0.245437	−	0.292501i	−0.874673	+	0.484714i	$0.838924\pi$
$108$	−0.577097	+	1.58556i	−0.0555312	+	0.152571i
$109$	−3.98834	−	10.9579i	−0.382014	−	1.04958i	−0.970507	−	0.241073i	$-0.922501\pi$
$109$	−3.98834	−	10.9579i	−0.382014	−	1.04958i	0.588493	−	0.808502i	$-0.299721\pi$
$110$	2.40555	−	10.3340i	0.229360	−	0.985308i
$111$	1.73386	+	0.0274984i	0.164571	+	0.00261004i
$112$			3.92348i			0.370734i
$113$	3.61766	−	1.31672i	0.340321	−	0.123867i	−0.166205	−	0.986091i	$-0.553151\pi$
$113$	3.61766	−	1.31672i	0.340321	−	0.123867i	0.506527	+	0.862224i	$0.330929\pi$
$114$	−1.65183	−	0.601218i	−0.154708	−	0.0563092i
$115$	6.46936	+	12.7540i	0.603271	+	1.18932i
$116$	−5.21727	+	0.919946i	−0.484412	+	0.0854148i
$117$	14.4320			1.33423
$118$	7.40857	−	1.30633i	0.682014	−	0.120258i
$119$	−3.72160	−	2.14866i	−0.341158	−	0.196968i
$120$	0.382710	+	0.509795i	0.0349364	+	0.0465377i
$121$	−5.75782	−	9.97283i	−0.523438	−	0.906621i
$122$	−7.38596	−	4.26429i	−0.668693	−	0.386070i
$123$	−0.805548	−	2.21323i	−0.0726338	−	0.199560i
$124$	1.00858	+	1.20198i	0.0905736	+	0.107941i
$125$	−11.0330	−	1.80907i	−0.986822	−	0.161808i
$126$	11.2776	+	1.98854i	1.00469	+	0.177154i
$127$	−20.7636	−	3.66119i	−1.84247	−	0.324878i	−0.859858	−	0.510532i	$-0.829448\pi$
$127$	−20.7636	−	3.66119i	−1.84247	−	0.324878i	−0.982615	+	0.185655i	$0.940559\pi$
$128$	0.766044	+	0.642788i	0.0677094	+	0.0568149i
$129$	−0.934527	+	2.56759i	−0.0822805	+	0.226064i
$130$	6.03860	−	9.26179i	0.529620	−	0.812313i
$131$	5.12862	−	6.11205i	0.448089	−	0.534012i	−0.493961	−	0.869484i	$-0.664451\pi$
$131$	5.12862	−	6.11205i	0.448089	−	0.534012i	0.942050	+	0.335472i	$0.108896\pi$
$132$	1.33218	+	0.234899i	0.115951	+	0.0204453i
$133$	−4.20100	+	23.8251i	−0.364273	+	2.06589i
$134$	2.84869	−	1.64469i	0.246089	−	0.142080i
$135$	3.36484	−	1.70679i	0.289599	−	0.146897i
$136$	−1.02923	+	0.374610i	−0.0882559	+	0.0321225i
$137$	−0.262746	−	0.151697i	−0.0224479	−	0.0129603i	0.488734	−	0.872433i	$-0.337459\pi$
$137$	−0.262746	−	0.151697i	−0.0224479	−	0.0129603i	−0.511182	+	0.859473i	$0.670792\pi$
$138$	−1.57899	+	0.911630i	−0.134413	+	0.0776031i
$139$	−2.15395	−	1.80738i	−0.182696	−	0.153300i	0.546853	−	0.837228i	$-0.315826\pi$
$139$	−2.15395	−	1.80738i	−0.182696	−	0.153300i	−0.729549	+	0.683929i	$0.760270\pi$
$140$	5.99491	−	6.40542i	0.506663	−	0.541357i
$141$	0.439071	+	2.49009i	0.0369764	+	0.209704i
$142$	14.0893			1.18235
$143$	−4.07421	−	23.1060i	−0.340703	−	1.93222i
$144$	2.23588	−	1.87612i	0.186323	−	0.156344i
$145$	9.92329	+	6.46989i	0.824085	+	0.537295i
$146$	0.685698	+	1.88394i	0.0567488	+	0.155916i
$147$			2.39288i			0.197362i
$148$	−5.21894	−	3.12453i	−0.428994	−	0.256835i
$149$	15.4881			1.26883			0.634416	−	0.772992i	$-0.281241\pi$
$149$	15.4881			1.26883			0.634416	+	0.772992i	$0.281241\pi$
$150$	0.154139	−	1.41705i	0.0125854	−	0.115702i
$151$	−3.65851	−	1.33159i	−0.297725	−	0.108363i	0.188839	−	0.982008i	$-0.439528\pi$
$151$	−3.65851	−	1.33159i	−0.297725	−	0.108363i	−0.486564	+	0.873645i	$0.661750\pi$
$152$	3.96350	+	4.72351i	0.321482	+	0.383128i
$153$	0.555126	+	3.14827i	0.0448793	+	0.254523i
$154$		−	18.6172i		−	1.50021i
$155$	0.189981	−	3.50342i	0.0152597	−	0.281402i
$156$	1.22076	+	0.704807i	0.0977392	+	0.0564297i
$157$	−7.35127	+	8.76090i	−0.586695	+	0.699196i	−0.974967	−	0.222349i	$-0.928628\pi$
$157$	−7.35127	+	8.76090i	−0.586695	+	0.699196i	0.388272	+	0.921545i	$0.373072\pi$
$158$	−11.2485	+	6.49435i	−0.894886	+	0.516663i
$159$	−0.295607	+	0.512007i	−0.0234432	+	0.0406048i
$160$	−0.268481	−	2.21989i	−0.0212253	−	0.175498i
$161$	16.1294	+	19.2223i	1.27118	+	1.51493i
$162$	−4.13758	−	7.16650i	−0.325079	−	0.563053i
$163$	2.37185	−	13.4514i	0.185778	−	1.05360i	−0.739175	−	0.673514i	$-0.764784\pi$
$163$	2.37185	−	13.4514i	0.185778	−	1.05360i	0.924952	−	0.380083i	$-0.124105\pi$
$164$	−1.43463	+	8.13621i	−0.112026	+	0.635332i
$165$	−1.81598	−	2.41901i	−0.141374	−	0.188320i
$166$	0.412174	−	1.13244i	0.0319909	−	0.0878944i
$167$	2.79834	+	1.01851i	0.216542	+	0.0788149i	0.448013	−	0.894027i	$-0.352132\pi$
$167$	2.79834	+	1.01851i	0.216542	+	0.0788149i	−0.231471	+	0.972842i	$0.574354\pi$
$168$	0.856829	+	0.718965i	0.0661058	+	0.0554693i
$169$	1.98812	−	11.2752i	0.152932	−	0.867320i
$170$	2.25270	+	0.961042i	0.172774	+	0.0737085i
$171$	15.5860	−	8.99860i	1.19189	−	0.688140i
$172$	7.34218	−	6.16082i	0.559836	−	0.469758i
$173$	3.81653	+	10.4858i	0.290166	+	0.797223i	0.996042	+	0.0888879i	$0.0283313\pi$
$173$	3.81653	+	10.4858i	0.290166	+	0.797223i	−0.705876	+	0.708335i	$0.749446\pi$
$174$	−0.755146	+	1.30795i	−0.0572475	+	0.0991556i
$175$	−19.5744	+	1.29742i	−1.47969	+	0.0980754i
$176$	−3.63493	−	3.05007i	−0.273993	−	0.229908i
$177$	1.07231	−	1.85730i	0.0806001	−	0.139603i
$178$	2.09954	−	0.370205i	0.157367	−	0.0277480i
$179$			7.04726i			0.526737i	0.964695	+	0.263369i	$0.0848335\pi$
$179$			7.04726i			0.526737i	−0.964695	+	0.263369i	$0.915166\pi$
$180$	−6.51690	−	0.353394i	−0.485741	−	0.0263405i
$181$	4.72911	−	3.96820i	0.351512	−	0.294954i	−0.449885	−	0.893087i	$-0.648535\pi$
$181$	4.72911	−	3.96820i	0.351512	−	0.294954i	0.801397	+	0.598133i	$0.204090\pi$
$182$	6.63520	−	18.2301i	0.491834	−	1.35130i
$183$	−2.28471	+	0.831566i	−0.168891	+	0.0614712i
$184$	6.39558			0.471488
$185$	3.74620	+	13.0754i	0.275426	+	0.961322i
$186$	0.447315			0.0327988
$187$	4.88377	−	1.77755i	0.357137	−	0.129987i
$188$	3.03352	−	8.33453i	0.221242	−	0.607858i
$189$	5.07134	−	4.25536i	0.368885	−	0.309532i
$190$	0.746581	−	13.7676i	0.0541627	−	0.998808i
$191$		−	11.7977i		−	0.853649i	−0.904335	−	0.426824i	$-0.859632\pi$
$191$		−	11.7977i		−	0.853649i	0.904335	−	0.426824i	$-0.140368\pi$
$192$	0.280750	−	0.0495039i	0.0202614	−	0.00357263i
$193$	11.1322	−	19.2816i	0.801315	−	1.38792i	−0.117436	−	0.993080i	$-0.537468\pi$
$193$	11.1322	−	19.2816i	0.801315	−	1.38792i	0.918751	−	0.394837i	$-0.129199\pi$
$194$	−7.77440	−	6.52350i	−0.558169	−	0.468360i
$195$	−0.916083	−	3.01593i	−0.0656021	−	0.215976i
$196$	4.19684	−	7.26914i	0.299774	−	0.519224i
$197$	5.19626	+	14.2766i	0.370218	+	1.01717i	0.975277	+	0.220986i	$0.0709274\pi$
$197$	5.19626	+	14.2766i	0.370218	+	1.01717i	−0.605059	+	0.796181i	$0.706850\pi$
$198$	−10.6094	+	8.90232i	−0.753975	+	0.632661i
$199$	−6.72836	+	3.88462i	−0.476961	+	0.275373i	−0.719149	−	0.694856i	$-0.755468\pi$
$199$	−6.72836	+	3.88462i	−0.476961	+	0.275373i	0.242188	+	0.970229i	$0.422135\pi$
$200$	−2.95359	+	4.03439i	−0.208850	+	0.285275i
$201$	0.162837	−	0.923496i	0.0114857	−	0.0651384i
$202$	5.03532	+	4.22514i	0.354284	+	0.297280i
$203$	19.5321	+	7.10911i	1.37089	+	0.498961i
$204$	−0.106794	+	0.293415i	−0.00747710	+	0.0205432i
$205$	14.7740	−	11.0910i	1.03186	−	0.774630i
$206$	−0.874487	+	4.95946i	−0.0609284	+	0.345542i
$207$	3.24148	−	18.3834i	0.225299	−	1.27773i
$208$	−2.47230	−	4.28215i	−0.171423	−	0.296914i
$209$	−18.8071	−	22.4134i	−1.30091	−	1.55037i
$210$	−0.300299	−	2.48297i	−0.0207226	−	0.171341i
$211$	−4.20188	+	7.27787i	−0.289269	+	0.501029i	−0.973636	−	0.228109i	$-0.926746\pi$
$211$	−4.20188	+	7.27787i	−0.289269	+	0.501029i	0.684366	+	0.729139i	$0.260079\pi$
$212$	1.79600	−	1.03692i	0.123350	−	0.0712161i
$213$	2.58182	−	3.07689i	0.176903	−	0.210825i
$214$	3.42055	+	1.97485i	0.233824	+	0.134998i
$215$	−21.4002	−	1.16048i	−1.45948	−	0.0791440i
$216$		−	1.68732i		−	0.114808i
$217$	−1.06902	−	6.06272i	−0.0725699	−	0.411564i
$218$	7.49564	+	8.93295i	0.507669	+	0.605016i
$219$	0.537076	+	0.195480i	0.0362923	+	0.0132093i
$220$	1.27396	+	10.5335i	0.0858903	+	0.710170i
$221$	5.41575			0.364303
$222$	−1.63870	+	0.567177i	−0.109983	+	0.0380664i
$223$			10.2334i			0.685281i	0.939467	+	0.342641i	$0.111321\pi$
$223$			10.2334i			0.685281i	−0.939467	+	0.342641i	$0.888679\pi$
$224$	−1.34191	−	3.68686i	−0.0896600	−	0.246339i
$225$	10.0994	+	10.5345i	0.673296	+	0.702300i
$226$	−2.94915	+	2.47463i	−0.196174	+	0.164610i
$227$	0.618230	+	3.50615i	0.0410333	+	0.232712i	0.998426	−	0.0560761i	$-0.0178589\pi$
$227$	0.618230	+	3.50615i	0.0410333	+	0.232712i	−0.957393	+	0.288788i	$0.906748\pi$
$228$	1.75784			0.116416
$229$	4.87308	+	27.6366i	0.322022	+	1.82628i	0.529823	+	0.848108i	$0.322258\pi$
$229$	4.87308	+	27.6366i	0.322022	+	1.82628i	−0.207801	+	0.978171i	$0.566631\pi$
$230$	−10.4413	−	9.77218i	−0.688481	−	0.644359i
$231$	−4.06571	−	3.41153i	−0.267504	−	0.224462i
$232$	4.58799	−	2.64888i	0.301217	−	0.173907i
$233$	−7.21015	−	4.16278i	−0.472353	−	0.272713i	0.244871	−	0.969556i	$-0.421254\pi$
$233$	−7.21015	−	4.16278i	−0.472353	−	0.272713i	−0.717224	+	0.696843i	$0.754588\pi$
$234$	−13.5616	+	4.93602i	−0.886550	+	0.322678i
$235$	−17.6873	+	8.97175i	−1.15379	+	0.585253i
$236$	−6.51499	+	3.76143i	−0.424090	+	0.244848i
$237$	−0.642991	+	3.64658i	−0.0417667	+	0.236871i
$238$	4.23204	+	0.746223i	0.274323	+	0.0483705i
$239$	4.33602	−	5.16747i	0.280474	−	0.334256i	−0.607354	−	0.794431i	$-0.707769\pi$
$239$	4.33602	−	5.16747i	0.280474	−	0.334256i	0.887828	+	0.460175i	$0.152213\pi$
$240$	−0.533989	−	0.348156i	−0.0344689	−	0.0224734i
$241$	0.373554	−	1.02633i	0.0240628	−	0.0661119i	−0.927080	−	0.374864i	$-0.877689\pi$
$241$	0.373554	−	1.02633i	0.0240628	−	0.0661119i	0.951142	+	0.308753i	$0.0999115\pi$
$242$	8.82149	+	7.40211i	0.567067	+	0.475826i
$243$	−7.30831	−	1.28865i	−0.468828	−	0.0826671i
$244$	8.39900	+	1.48097i	0.537691	+	0.0948094i
$245$	−17.9586	+	5.45490i	−1.14734	+	0.348501i
$246$	1.51394	+	1.80424i	0.0965250	+	0.115034i
$247$	−10.4278	−	28.6503i	−0.663508	−	1.82297i
$248$	−1.35886	−	0.784540i	−0.0862879	−	0.0498183i
$249$	−0.171778	−	0.297529i	−0.0108860	−	0.0188551i
$250$	10.9864	−	2.07354i	0.694839	−	0.131142i
$251$	12.4419	+	7.18334i	0.785326	+	0.453408i	0.838315	−	0.545187i	$-0.183541\pi$
$251$	12.4419	+	7.18334i	0.785326	+	0.453408i	−0.0529884	+	0.998595i	$0.516875\pi$
$252$	−11.2776	+	1.98854i	−0.710421	+	0.125266i
$253$	−30.3474			−1.90793
$254$	20.7636	−	3.66119i	1.30283	−	0.229723i
$255$	0.622677	−	0.315848i	0.0389936	−	0.0197792i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	−9.52557	+	3.46702i	−0.594189	+	0.216267i	−0.621571	−	0.783358i	$-0.713505\pi$
$257$	−9.52557	+	3.46702i	−0.594189	+	0.216267i	0.0273821	+	0.999625i	$0.491283\pi$
$258$		−	2.73237i		−	0.170110i
$259$	11.6035	+	20.8548i	0.721009	+	1.29586i
$260$	−2.50671	+	10.7686i	−0.155459	+	0.667838i
$261$	−5.28856	−	14.5302i	−0.327354	−	0.899397i
$262$	−2.72888	+	7.49753i	−0.168591	+	0.463199i
$263$	16.0636	+	19.1439i	0.990526	+	1.18046i	0.983577	+	0.180487i	$0.0577673\pi$
$263$	16.0636	+	19.1439i	0.990526	+	1.18046i	0.00694849	+	0.999976i	$0.497788\pi$
$264$	−1.33218	+	0.234899i	−0.0819899	+	0.0144570i
$265$	−4.51651	−	1.05135i	−0.277447	−	0.0645841i
$266$	−4.20100	−	23.8251i	−0.257580	−	1.46081i
$267$	0.303886	−	0.526347i	0.0185975	−	0.0322119i
$268$	−2.11438	+	2.51982i	−0.129156	+	0.153922i
$269$	15.1500	+	26.2406i	0.923714	+	1.59992i	0.793616	+	0.608419i	$0.208196\pi$
$269$	15.1500	+	26.2406i	0.923714	+	1.59992i	0.130098	+	0.991501i	$0.458471\pi$
$270$	−2.57816	+	2.75470i	−0.156902	+	0.167645i
$271$	14.7429	−	5.36599i	0.895570	−	0.325961i	0.147094	−	0.989123i	$-0.453008\pi$
$271$	14.7429	−	5.36599i	0.895570	−	0.325961i	0.748476	+	0.663162i	$0.230786\pi$
$272$	0.839038	−	0.704036i	0.0508741	−	0.0426885i
$273$	−2.76530	−	4.78963i	−0.167363	−	0.289882i
$274$	0.298784	+	0.0526837i	0.0180502	+	0.00318274i
$275$	14.0150	−	19.1435i	0.845134	−	1.15439i
$276$	1.17197	−	1.39670i	0.0705442	−	0.0840714i
$277$	24.7469	+	9.00715i	1.48690	+	0.541187i	0.952631	−	0.304127i	$-0.0983648\pi$
$277$	24.7469	+	9.00715i	1.48690	+	0.541187i	0.534269	+	0.845315i	$0.320587\pi$
$278$	2.64221	+	0.961687i	0.158469	+	0.0576781i
$279$	−2.94379	+	3.50827i	−0.176240	+	0.210034i
$280$	−3.44259	+	8.06951i	−0.205734	+	0.482245i
$281$	15.1911	+	2.67859i	0.906223	+	0.159792i	0.607288	−	0.794482i	$-0.292258\pi$
$281$	15.1911	+	2.67859i	0.906223	+	0.159792i	0.298935	+	0.954273i	$0.403369\pi$
$282$	−1.26425	−	2.18975i	−0.0752852	−	0.130398i
$283$	−20.8128	+	17.4640i	−1.23719	+	1.03813i	−0.239455	+	0.970907i	$0.576969\pi$
$283$	−20.8128	+	17.4640i	−1.23719	+	1.03813i	−0.997738	+	0.0672212i	$0.978587\pi$
$284$	−13.2396	+	4.81882i	−0.785626	+	0.285944i
$285$	−2.86983	−	2.68591i	−0.169994	−	0.159100i
$286$	11.7312	+	20.3191i	0.693682	+	1.20149i
$287$	20.8358	−	24.8311i	1.22990	−	1.46573i
$288$	−1.45936	+	2.52769i	−0.0859939	+	0.148946i
$289$	−2.74370	−	15.5603i	−0.161394	−	0.915312i
$290$	−11.5377	−	2.68574i	−0.677516	−	0.157712i
$291$	−2.84927	+	0.502403i	−0.167027	+	0.0294514i
$292$	−1.28869	−	1.53580i	−0.0754149	−	0.0898760i
$293$	6.01964	−	16.5388i	0.351671	−	0.966208i	−0.630163	−	0.776463i	$-0.717012\pi$
$293$	6.01964	−	16.5388i	0.351671	−	0.966208i	0.981833	−	0.189745i	$-0.0607660\pi$
$294$	−0.818414	−	2.24857i	−0.0477308	−	0.131139i
$295$	16.3836	+	3.81378i	0.953890	+	0.222047i
$296$	5.97285	+	1.15112i	0.347165	+	0.0669075i
$297$			8.00644i			0.464581i
$298$	−14.5540	+	5.29723i	−0.843092	+	0.306860i
$299$	−29.7165	−	10.8159i	−1.71855	−	0.625500i
$300$	0.339816	+	1.38431i	0.0196193	+	0.0799231i
$301$	−37.0334	+	6.52999i	−2.13457	+	0.376382i
$302$	3.89330			0.224035
$303$	1.84541	−	0.325396i	0.106016	−	0.0186935i
$304$	−5.34001	−	3.08306i	−0.306270	−	0.176825i
$305$	−11.4492	−	15.2511i	−0.655582	−	0.873278i
$306$	−1.59842	−	2.76855i	−0.0913757	−	0.158267i
$307$	12.6852	+	7.32379i	0.723981	+	0.417991i	0.816216	−	0.577747i	$-0.196068\pi$
$307$	12.6852	+	7.32379i	0.723981	+	0.417991i	−0.0922351	+	0.995737i	$0.529401\pi$
$308$	6.36744	+	17.4944i	0.362819	+	0.996836i
$309$	0.922825	+	1.09978i	0.0524977	+	0.0625643i
$310$	1.01972	+	3.35712i	0.0579160	+	0.190671i
$311$	−7.40264	−	1.30529i	−0.419765	−	0.0740159i	−0.0402239	−	0.999191i	$-0.512807\pi$
$311$	−7.40264	−	1.30529i	−0.419765	−	0.0740159i	−0.379541	+	0.925175i	$0.623918\pi$
$312$	−1.38820	−	0.244777i	−0.0785913	−	0.0138578i
$313$	−26.1751	−	21.9635i	−1.47951	−	1.24145i	−0.906711	−	0.421753i	$-0.861415\pi$
$313$	−26.1751	−	21.9635i	−1.47951	−	1.24145i	−0.572795	−	0.819699i	$-0.694141\pi$
$314$	3.91153	−	10.7468i	0.220740	−	0.606479i
$315$	21.4501	+	13.9852i	1.20857	+	0.787979i
$316$	8.34897	−	9.94992i	0.469667	−	0.559727i
$317$	−12.5100	−	2.20585i	−0.702631	−	0.123893i	−0.189092	−	0.981959i	$-0.560555\pi$
$317$	−12.5100	−	2.20585i	−0.702631	−	0.123893i	−0.513539	+	0.858067i	$0.671666\pi$
$318$	0.102663	−	0.582233i	0.00575708	−	0.0326500i
$319$	−21.7703	+	12.5691i	−1.21890	+	0.703735i
$320$	1.01154	+	1.99419i	0.0565466	+	0.111479i
$321$	1.05808	−	0.385111i	0.0590564	−	0.0214948i
$322$	−21.7311	−	12.5465i	−1.21103	−	0.699186i
$323$	5.84884	−	3.37683i	0.325438	−	0.187892i
$324$	6.33914	+	5.31917i	0.352175	+	0.295510i
$325$	20.5463	−	13.7505i	1.13971	−	0.762739i
$326$	2.37185	+	13.4514i	0.131365	+	0.745006i
$327$	3.32437			0.183838
$328$	−1.43463	−	8.13621i	−0.0792144	−	0.449247i
$329$	−26.6576	+	22.3684i	−1.46968	+	1.23321i
$330$	2.53381	+	1.65202i	0.139482	+	0.0909408i
$331$	−0.457673	−	1.25744i	−0.0251560	−	0.0691154i	0.926479	−	0.376346i	$-0.122820\pi$
$331$	−0.457673	−	1.25744i	−0.0251560	−	0.0691154i	−0.951635	+	0.307231i	$0.900598\pi$
$332$			1.20512i			0.0661394i
$333$	6.33600	−	16.5849i	0.347210	−	0.908844i
$334$	−2.97793			−0.162945
$335$	7.30208	−	0.883137i	0.398955	−	0.0482509i
$336$	−1.05106	−	0.382553i	−0.0573398	−	0.0208700i
$337$	22.6970	+	27.0492i	1.23638	+	1.47346i	0.828075	+	0.560618i	$0.189436\pi$
$337$	22.6970	+	27.0492i	1.23638	+	1.47346i	0.408307	+	0.912845i	$0.366119\pi$
$338$	1.98812	+	11.2752i	0.108139	+	0.613288i
$339$			1.09752i			0.0596090i
$340$	−2.44554	−	0.132615i	−0.132628	−	0.00719207i
$341$	6.44789	+	3.72269i	0.349173	+	0.201595i
$342$	−11.5684	+	13.7867i	−0.625546	+	0.745497i
$343$	−4.73548	+	2.73403i	−0.255692	+	0.147624i
$344$	−4.79227	+	8.30045i	−0.258382	+	0.447530i
$345$	−4.04744	+	0.489510i	−0.217907	+	0.0263543i
$346$	−7.17273	−	8.54813i	−0.385609	−	0.459550i
$347$	−9.73927	−	16.8689i	−0.522831	−	0.905570i	−0.999647	−	0.0265672i	$-0.991542\pi$
$347$	−9.73927	−	16.8689i	−0.522831	−	0.905570i	0.476816	−	0.879003i	$-0.341791\pi$
$348$	0.262260	−	1.48735i	0.0140586	−	0.0797302i
$349$	−4.79188	+	27.1761i	−0.256504	+	1.45470i	0.535680	+	0.844421i	$0.320055\pi$
$349$	−4.79188	+	27.1761i	−0.256504	+	1.45470i	−0.792183	+	0.610283i	$0.791056\pi$
$350$	17.9502	−	7.91402i	0.959479	−	0.423022i
$351$	−2.85352	+	7.83997i	−0.152309	+	0.418467i
$352$	4.45890	+	1.62291i	0.237660	+	0.0865013i
$353$	13.1539	+	11.0374i	0.700109	+	0.587462i	0.921805	−	0.387654i	$-0.126715\pi$
$353$	13.1539	+	11.0374i	0.700109	+	0.587462i	−0.221695	+	0.975116i	$0.571159\pi$
$354$	−0.372411	+	2.11205i	−0.0197934	+	0.112254i
$355$	28.9778	+	12.3624i	1.53798	+	0.656129i
$356$	−1.84630	+	1.06596i	−0.0978538	+	0.0564959i
$357$	0.938472	−	0.787472i	0.0496692	−	0.0416774i
$358$	−2.41031	−	6.62226i	−0.127389	−	0.349997i
$359$	−14.2286	+	24.6447i	−0.750958	+	1.30070i	0.196401	+	0.980524i	$0.437075\pi$
$359$	−14.2286	+	24.6447i	−0.750958	+	1.30070i	−0.947359	+	0.320173i	$0.896259\pi$
$360$	6.24475	−	1.89683i	0.329127	−	0.0999717i
$361$	−14.5709	−	12.2264i	−0.766888	−	0.643495i
$362$	−3.08671	+	5.34634i	−0.162234	+	0.280997i
$363$	3.23302	−	0.570069i	0.169690	−	0.0299208i
$364$			19.4000i			1.01684i
$365$	−0.242743	+	4.47640i	−0.0127058	+	0.234305i
$366$	1.86251	−	1.56283i	0.0973551	−	0.0816906i
$367$	−7.39625	+	20.3210i	−0.386081	+	1.06075i	0.582669	+	0.812710i	$0.302009\pi$
$367$	−7.39625	+	20.3210i	−0.386081	+	1.06075i	−0.968750	+	0.248040i	$0.920214\pi$
$368$	−6.00988	+	2.18742i	−0.313286	+	0.114027i
$369$	−24.1137			−1.25531
$370$	−7.99233	−	11.0056i	−0.415501	−	0.572153i
$371$	−8.13669			−0.422436
$372$	−0.420339	+	0.152991i	−0.0217936	+	0.00793221i
$373$	6.69756	−	18.4014i	0.346787	−	0.952788i	−0.636589	−	0.771204i	$-0.719655\pi$
$373$	6.69756	−	18.4014i	0.346787	−	0.952788i	0.983375	−	0.181585i	$-0.0581227\pi$
$374$	−3.98129	+	3.34070i	−0.205867	+	0.172743i
$375$	1.56039	−	2.77923i	0.0805781	−	0.143519i
$376$			8.86943i			0.457406i
$377$	−25.7973	+	4.54877i	−1.32863	+	0.234273i
$378$	−3.31008	+	5.73323i	−0.170252	+	0.294885i
$379$	−11.7288	−	9.84161i	−0.602467	−	0.505530i	0.289771	−	0.957096i	$-0.406421\pi$
$379$	−11.7288	−	9.84161i	−0.602467	−	0.505530i	−0.892238	+	0.451566i	$0.850865\pi$
$380$	4.00724	+	13.1927i	0.205567	+	0.676770i
$381$	3.00532	−	5.20537i	0.153967	−	0.266679i
$382$	4.03504	+	11.0862i	0.206450	+	0.567218i
$383$	−0.520356	+	0.436631i	−0.0265890	+	0.0223108i	−0.655985	−	0.754774i	$-0.727747\pi$
$383$	−0.520356	+	0.436631i	−0.0265890	+	0.0223108i	0.629396	+	0.777084i	$0.283302\pi$
$384$	−0.246888	+	0.142541i	−0.0125989	+	0.00727400i
$385$	16.3353	−	38.2903i	0.832526	−	1.95146i
$386$	−3.86618	+	21.9262i	−0.196783	+	1.11601i
$387$	21.4298	+	17.9818i	1.08934	+	0.914065i
$388$	9.53672	+	3.47108i	0.484153	+	0.176217i
$389$	0.479563	−	1.31759i	0.0243148	−	0.0668044i	−0.926941	−	0.375206i	$-0.877572\pi$
$389$	0.479563	−	1.31759i	0.0243148	−	0.0668044i	0.951256	+	0.308402i	$0.0997941\pi$
$390$	1.89235	+	2.52073i	0.0958227	+	0.127642i
$391$	1.21640	−	6.89856i	0.0615161	−	0.348875i
$392$	−1.45755	+	8.26616i	−0.0736172	+	0.417504i
$393$	1.13729	+	1.96985i	0.0573687	+	0.0993656i
$394$	−9.76578	−	11.6384i	−0.491993	−	0.586334i
$395$	−28.8335	+	3.48722i	−1.45077	+	0.175461i
$396$	6.92478	−	11.9941i	0.347983	−	0.602725i
$397$	13.5028	−	7.79582i	0.677684	−	0.391261i	−0.121298	−	0.992616i	$-0.538706\pi$
$397$	13.5028	−	7.79582i	0.677684	−	0.391261i	0.798982	+	0.601355i	$0.205372\pi$
$398$	4.99397	−	5.95158i	0.250325	−	0.298326i
$399$	−5.97286	−	3.44843i	−0.299017	−	0.172637i
$400$	1.39562	−	4.80128i	0.0697810	−	0.240064i
$401$		−	26.4483i		−	1.32076i	−0.750930	−	0.660382i	$-0.770394\pi$
$401$		−	26.4483i		−	1.32076i	0.750930	−	0.660382i	$-0.229606\pi$
$402$	0.162837	+	0.923496i	0.00812159	+	0.0460598i
$403$	4.98705	+	5.94334i	0.248423	+	0.296059i
$404$	−6.17674	−	2.24815i	−0.307304	−	0.111850i
$405$	−2.22172	−	18.3700i	−0.110398	−	0.912811i
$406$	−20.7856			−1.03157
$407$	−28.3416	−	5.46214i	−1.40484	−	0.270748i
$408$		−	0.312246i		−	0.0154585i
$409$	−4.11109	−	11.2951i	−0.203280	−	0.558508i	0.795600	−	0.605823i	$-0.207156\pi$
$409$	−4.11109	−	11.2951i	−0.203280	−	0.558508i	−0.998880	+	0.0473148i	$0.984934\pi$
$410$	−10.0896	+	15.4751i	−0.498292	+	0.764263i
$411$	0.0662566	−	0.0555959i	0.00326820	−	0.00274234i
$412$	−0.874487	−	4.95946i	−0.0430829	−	0.244335i
$413$	29.5158			1.45238
$414$	3.24148	+	18.3834i	0.159310	+	0.903493i
$415$	1.84137	−	1.96746i	0.0903893	−	0.0965788i
$416$	3.78779	+	3.17833i	0.185711	+	0.155830i
$417$	0.694195	−	0.400794i	0.0339949	−	0.0196270i
$418$	25.3387	+	14.6293i	1.23936	+	0.715542i
$419$	16.8522	−	6.13371i	0.823285	−	0.299651i	0.104185	−	0.994558i	$-0.466777\pi$
$419$	16.8522	−	6.13371i	0.823285	−	0.299651i	0.719100	+	0.694907i	$0.244554\pi$
$420$	1.13141	+	2.23052i	0.0552074	+	0.108838i
$421$	−3.74128	+	2.16003i	−0.182339	+	0.105274i	−0.588391	−	0.808576i	$-0.700238\pi$
$421$	−3.74128	+	2.16003i	−0.182339	+	0.105274i	0.406052	+	0.913850i	$0.366905\pi$
$422$	1.45930	−	8.27609i	0.0710375	−	0.402874i
$423$	25.4942	+	4.49531i	1.23957	+	0.218569i
$424$	−1.33304	+	1.58866i	−0.0647383	+	0.0771520i
$425$	3.78993	+	3.95319i	0.183838	+	0.191758i
$426$	−1.37376	+	3.77436i	−0.0665587	+	0.182868i
$427$	−25.6331	−	21.5087i	−1.24047	−	1.04088i
$428$	−3.88970	−	0.685860i	−0.188016	−	0.0331523i
$429$	6.58710	+	1.16148i	0.318028	+	0.0560769i
$430$	20.5066	−	6.22882i	0.988914	−	0.300380i
$431$	16.2455	+	19.3606i	0.782516	+	0.932566i	0.999044	−	0.0437100i	$-0.0139178\pi$
$431$	16.2455	+	19.3606i	0.782516	+	0.932566i	−0.216528	+	0.976276i	$0.569473\pi$
$432$	0.577097	+	1.58556i	0.0277656	+	0.0762854i
$433$	−5.48945	−	3.16933i	−0.263806	−	0.152308i	0.362263	−	0.932076i	$-0.382004\pi$
$433$	−5.48945	−	3.16933i	−0.263806	−	0.152308i	−0.626070	+	0.779767i	$0.715337\pi$
$434$	3.07812	+	5.33147i	0.147755	+	0.255919i
$435$	−2.70077	+	2.02750i	−0.129492	+	0.0972113i
$436$	−10.0988	−	5.83057i	−0.483647	−	0.279234i
$437$	−38.8367	+	6.84796i	−1.85781	+	0.327582i
$438$	−0.571545			−0.0273095
$439$	17.6118	−	3.10544i	0.840567	−	0.148215i	0.263243	−	0.964730i	$-0.415208\pi$
$439$	17.6118	−	3.10544i	0.840567	−	0.148215i	0.577324	+	0.816515i	$0.304097\pi$
$440$	−4.79981	−	9.46256i	−0.228822	−	0.451110i
$441$	23.0214	+	8.37910i	1.09626	+	0.399005i
$442$	−5.08914	+	1.85230i	−0.242066	+	0.0881048i
$443$		−	15.2523i		−	0.724660i	−0.932050	−	0.362330i	$-0.881981\pi$
$443$		−	15.2523i		−	0.724660i	0.932050	−	0.362330i	$-0.118019\pi$
$444$	1.34589	−	1.09344i	0.0638733	−	0.0518924i
$445$	4.64300	+	1.08080i	0.220099	+	0.0512347i
$446$	−3.50004	−	9.61628i	−0.165732	−	0.455344i
$447$	−1.51014	+	4.14908i	−0.0714273	+	0.196245i
$448$	2.52196	+	3.00556i	0.119152	+	0.141999i
$449$	7.49113	−	1.32089i	0.353528	−	0.0623366i	0.00593601	−	0.999982i	$-0.498110\pi$
$449$	7.49113	−	1.32089i	0.353528	−	0.0623366i	0.347592	+	0.937646i	$0.386999\pi$
$450$	−13.0934	−	6.44499i	−0.617228	−	0.303820i
$451$	6.80743	+	38.6069i	0.320549	+	1.81793i
$452$	1.92492	−	3.33406i	0.0905406	−	0.156821i
$453$	0.713436	−	0.850240i	0.0335201	−	0.0399477i
$454$	−1.78012	−	3.08326i	−0.0835452	−	0.144705i
$455$	29.6425	−	31.6723i	1.38966	−	1.48482i
$456$	−1.65183	+	0.601218i	−0.0773542	+	0.0281546i
$457$	−15.4206	+	12.9394i	−0.721346	+	0.605281i	−0.927757	−	0.373184i	$-0.878266\pi$
$457$	−15.4206	+	12.9394i	−0.721346	+	0.605281i	0.206411	+	0.978465i	$0.433822\pi$
$458$	−14.0315	−	24.3032i	−0.655648	−	1.13562i
$459$	−1.82002	−	0.320919i	−0.0849513	−	0.0149792i
$460$	13.1539	+	5.61170i	0.613305	+	0.261647i
$461$	22.5009	−	26.8155i	1.04797	−	1.24892i	0.0802815	−	0.996772i	$-0.474418\pi$
$461$	22.5009	−	26.8155i	1.04797	−	1.24892i	0.967688	−	0.252150i	$-0.0811375\pi$
$462$	4.98733	+	1.81524i	0.232032	+	0.0844526i
$463$	−8.65845	−	3.15142i	−0.402393	−	0.146459i	0.132892	−	0.991130i	$-0.457574\pi$
$463$	−8.65845	−	3.15142i	−0.402393	−	0.146459i	−0.535285	+	0.844672i	$0.679796\pi$
$464$	−3.40533	+	4.05832i	−0.158089	+	0.188403i
$465$	0.920004	+	0.392490i	0.0426641	+	0.0182013i
$466$	8.19908	+	1.44572i	0.379815	+	0.0669716i
$467$	2.35150	+	4.07292i	0.108815	+	0.188472i	0.915290	−	0.402795i	$-0.131961\pi$
$467$	2.35150	+	4.07292i	0.108815	+	0.188472i	−0.806476	+	0.591267i	$0.798628\pi$
$468$	11.0555	−	9.27668i	0.511042	−	0.428815i
$469$	12.1275	−	4.41405i	0.559996	−	0.203822i
$470$	13.5521	−	14.4801i	0.625113	−	0.667918i
$471$	−1.63017	−	2.82354i	−0.0751144	−	0.130102i
$472$	4.83560	−	5.76285i	0.222577	−	0.265256i
$473$	22.7396	−	39.3862i	1.04557	−	1.81098i
$474$	−0.642991	−	3.64658i	−0.0295335	−	0.167493i
$475$	13.6157	−	27.6611i	0.624731	−	1.26918i
$476$	−4.23204	+	0.746223i	−0.193975	+	0.0342031i
$477$	3.89079	+	4.63686i	0.178147	+	0.212307i
$478$	−2.30715	+	6.33884i	−0.105527	+	0.289932i
$479$	11.3868	+	31.2851i	0.520277	+	1.42945i	0.870213	+	0.492677i	$0.163981\pi$
$479$	11.3868	+	31.2851i	0.520277	+	1.42945i	−0.349935	+	0.936774i	$0.613796\pi$
$480$	0.620862	+	0.144524i	0.0283383	+	0.00659660i
$481$	−25.8056	−	15.4496i	−1.17663	−	0.704440i
$482$			1.09220i			0.0497484i
$483$	−6.72211	+	2.44665i	−0.305867	+	0.111326i
$484$	−10.8212	−	3.93858i	−0.491871	−	0.179026i
$485$	−10.2658	−	20.2386i	−0.466148	−	0.918985i
$486$	7.30831	−	1.28865i	0.331512	−	0.0584545i
$487$	−1.52334			−0.0690291			−0.0345146	−	0.999404i	$-0.510989\pi$
$487$	−1.52334			−0.0690291			−0.0345146	+	0.999404i	$0.510989\pi$
$488$	−8.39900	+	1.48097i	−0.380205	+	0.0670404i
$489$	3.37222	+	1.94695i	0.152497	+	0.0880443i
$490$	15.0099	−	11.2681i	0.678079	−	0.509043i
$491$	7.59131	+	13.1485i	0.342591	+	0.593385i	0.984913	−	0.173050i	$-0.0553622\pi$
$491$	7.59131	+	13.1485i	0.342591	+	0.593385i	−0.642322	+	0.766435i	$0.722029\pi$
$492$	−2.03972	−	1.17763i	−0.0919577	−	0.0530918i
$493$	−1.98459	−	5.45262i	−0.0893815	−	0.245574i
$494$	19.5979	+	23.3559i	0.881753	+	1.05083i
$495$	−29.6317	+	9.00058i	−1.33185	+	0.404546i
$496$	1.54524	+	0.272468i	0.0693834	+	0.0122342i
$497$	54.4392	+	9.59910i	2.44193	+	0.430578i
$498$	0.263180	+	0.220834i	0.0117934	+	0.00989581i
$499$	0.571903	−	1.57129i	0.0256019	−	0.0703406i	−0.926233	−	0.376951i	$-0.876973\pi$
$499$	0.571903	−	1.57129i	0.0256019	−	0.0703406i	0.951835	+	0.306610i	$0.0991948\pi$
$500$	−9.61462	+	5.70605i	−0.429979	+	0.255182i
$501$	−0.545697	+	0.650336i	−0.0243799	+	0.0290549i
$502$	−14.1484	−	2.49475i	−0.631475	−	0.111346i
$503$	−5.54967	+	31.4737i	−0.247447	+	1.40334i	0.567292	+	0.823517i	$0.307991\pi$
$503$	−5.54967	+	31.4737i	−0.247447	+	1.40334i	−0.814740	+	0.579827i	$0.803120\pi$
$504$	9.91735	−	5.72578i	0.441754	−	0.255047i
$505$	6.64898	+	13.1081i	0.295876	+	0.583303i
$506$	28.5173	−	10.3794i	1.26775	−	0.461422i
$507$	2.82664	+	1.63196i	0.125536	+	0.0724780i
$508$	−18.2592	+	10.5420i	−0.810122	+	0.467724i
$509$	−19.8629	−	16.6669i	−0.880406	−	0.738749i	0.0858562	−	0.996308i	$-0.472637\pi$
$509$	−19.8629	−	16.6669i	−0.880406	−	0.738749i	−0.966263	+	0.257559i	$0.917082\pi$
$510$	−0.477099	+	0.509768i	−0.0211263	+	0.0225729i
$511$	1.36591	+	7.74647i	0.0604244	+	0.342684i
$512$	1.00000			0.0441942
$513$	1.80667	+	10.2461i	0.0797664	+	0.452378i
$514$	7.76531	−	6.51587i	0.342513	−	0.287403i
$515$	−6.15018	+	9.43293i	−0.271009	+	0.415665i
$516$	0.934527	+	2.56759i	0.0411403	+	0.113032i
$517$		−	42.0860i		−	1.85094i
$518$	−18.0365	−	15.6285i	−0.792480	−	0.686676i
$519$	−3.18116			−0.139638
$520$	−1.32753	−	10.9765i	−0.0582161	−	0.481351i
$521$	−8.00476	−	2.91349i	−0.350695	−	0.127642i	0.160665	−	0.987009i	$-0.448636\pi$
$521$	−8.00476	−	2.91349i	−0.350695	−	0.127642i	−0.511360	+	0.859366i	$0.670858\pi$
$522$	9.93924	+	11.8451i	0.435029	+	0.518447i
$523$	3.95789	+	22.4463i	0.173067	+	0.981510i	0.940352	+	0.340204i	$0.110496\pi$
$523$	3.95789	+	22.4463i	0.173067	+	0.981510i	−0.767285	+	0.641306i	$0.778393\pi$
$524$		−	7.97871i		−	0.348552i
$525$	1.56101	−	5.37028i	0.0681283	−	0.234378i
$526$	−21.6425	−	12.4953i	−0.943657	−	0.544820i
$527$	−1.10469	+	1.31652i	−0.0481210	+	0.0573484i
$528$	1.17150	−	0.676365i	0.0509829	−	0.0294350i
$529$	−8.95170	+	15.5048i	−0.389204	+	0.674122i
$530$	4.60371	−	0.556788i	0.199972	−	0.0241853i
$531$	−14.1138	−	16.8202i	−0.612487	−	0.729934i
$532$	12.0963	+	20.9514i	0.524441	+	0.908359i
$533$	−7.09370	+	40.2304i	−0.307262	+	1.74257i
$534$	−0.105539	+	0.598539i	−0.00456710	+	0.0259013i
$535$	5.30231	+	7.06304i	0.229239	+	0.305362i
$536$	1.12504	−	3.09101i	0.0485942	−	0.133511i
$537$	−1.88788	−	0.687133i	−0.0814682	−	0.0296520i
$538$	−23.2112	−	19.4765i	−1.00071	−	0.839692i
$539$	6.91615	−	39.2234i	0.297900	−	1.68947i
$540$	1.48051	−	3.47035i	0.0637111	−	0.149340i
$541$	1.39356	−	0.804569i	0.0599136	−	0.0345911i	−0.469744	−	0.882803i	$-0.655654\pi$
$541$	1.39356	−	0.804569i	0.0599136	−	0.0345911i	0.529658	+	0.848212i	$0.322320\pi$
$542$	−12.0186	+	10.0848i	−0.516241	+	0.433178i
$543$	0.601931	+	1.65379i	0.0258313	+	0.0709710i
$544$	−0.547643	+	0.948545i	−0.0234800	+	0.0406685i
$545$	7.57836	+	24.9495i	0.324621	+	1.06872i
$546$	4.23668	+	3.55500i	0.181313	+	0.152140i
$547$	−1.96370	+	3.40123i	−0.0839617	+	0.145426i	−0.904948	−	0.425522i	$-0.860091\pi$
$547$	−1.96370	+	3.40123i	−0.0839617	+	0.145426i	0.820987	+	0.570947i	$0.193424\pi$
$548$	−0.298784	+	0.0526837i	−0.0127634	+	0.00225054i
$549$			24.8926i			1.06239i
$550$	−6.62230	+	22.7824i	−0.282376	+	0.971443i
$551$	−25.0240	+	20.9977i	−1.06606	+	0.894530i
$552$	−0.623592	+	1.71330i	−0.0265418	+	0.0729231i
$553$	−47.8876	+	17.4296i	−2.03639	+	0.741184i
$554$	−26.3352			−1.11887
$555$	−3.86802	−	0.271331i	−0.164188	−	0.0115174i
$556$	−2.81178			−0.119246
$557$	−11.8932	+	4.32876i	−0.503929	+	0.183415i	−0.581461	−	0.813575i	$-0.697519\pi$
$557$	−11.8932	+	4.32876i	−0.503929	+	0.183415i	0.0775311	+	0.996990i	$0.475296\pi$
$558$	1.56636	−	4.30353i	0.0663091	−	0.182183i
$559$	36.3042	−	30.4628i	1.53550	−	1.28844i
$560$	0.475048	−	8.76029i	0.0200744	−	0.370190i
$561$			1.48163i			0.0625543i
$562$	−15.1911	+	2.67859i	−0.640796	+	0.112990i
$563$	2.87439	−	4.97858i	0.121141	−	0.209822i	−0.799077	−	0.601229i	$-0.794678\pi$
$563$	2.87439	−	4.97858i	0.121141	−	0.209822i	0.920218	+	0.391407i	$0.128011\pi$
$564$	1.93695	+	1.62529i	0.0815603	+	0.0684372i
$565$	−8.23690	+	2.50194i	−0.346529	+	0.105257i
$566$	13.5846	−	23.5292i	0.571003	−	0.989007i
$567$	−11.1045	−	30.5094i	−0.466346	−	1.28127i
$568$	10.7930	−	9.05642i	0.452865	−	0.379999i
$569$	13.1345	−	7.58320i	0.550626	−	0.317904i	−0.198748	−	0.980051i	$-0.563688\pi$
$569$	13.1345	−	7.58320i	0.550626	−	0.317904i	0.749375	+	0.662146i	$0.230354\pi$
$570$	3.61540	+	1.54239i	0.151432	+	0.0646037i
$571$	4.01872	−	22.7913i	0.168178	−	0.953787i	−0.777548	−	0.628823i	$-0.783537\pi$
$571$	4.01872	−	22.7913i	0.168178	−	0.953787i	0.945727	−	0.324963i	$-0.105352\pi$
$572$	−17.9733	−	15.0814i	−0.751501	−	0.630584i
$573$	3.16046	+	1.15031i	0.132030	+	0.0480551i
$574$	−11.0865	+	30.4599i	−0.462741	+	1.27137i
$575$	−12.9005	−	29.2603i	−0.537987	−	1.22024i
$576$	0.506832	−	2.87439i	0.0211180	−	0.119766i
$577$	−3.50259	+	19.8642i	−0.145815	+	0.826957i	0.820895	+	0.571080i	$0.193475\pi$
$577$	−3.50259	+	19.8642i	−0.145815	+	0.826957i	−0.966709	+	0.255877i	$0.917636\pi$
$578$	7.90017	+	13.6835i	0.328604	+	0.569159i
$579$	4.07989	+	4.86222i	0.169554	+	0.202067i
$580$	11.7604	−	1.42235i	0.488326	−	0.0590597i
$581$	2.36413	−	4.09479i	0.0980805	−	0.169880i
$582$	2.50560	−	1.44661i	0.103861	−	0.0599640i
$583$	6.32537	−	7.53828i	0.261970	−	0.312204i
$584$	1.73625	+	1.00242i	0.0718465	+	0.0414806i
$585$	−32.2235	−	1.74739i	−1.33228	−	0.0722459i
$586$			17.6002i			0.727059i
$587$	−3.44552	−	19.5405i	−0.142212	−	0.806522i	−0.969564	−	0.244839i	$-0.921265\pi$
$587$	−3.44552	−	19.5405i	−0.142212	−	0.806522i	0.827352	−	0.561684i	$-0.189846\pi$
$588$	1.53811	+	1.83305i	0.0634308	+	0.0755938i
$589$	9.09164	+	3.30908i	0.374614	+	0.136348i
$590$	−16.6999	+	2.01974i	−0.687525	+	0.0831515i
$591$	−4.33120			−0.178162
$592$	−6.00635	+	0.961135i	−0.246859	+	0.0395024i
$593$		−	0.646145i		−	0.0265340i	−0.999912	−	0.0132670i	$-0.995777\pi$
$593$		−	0.646145i		−	0.0265340i	0.999912	−	0.0132670i	$-0.00422314\pi$
$594$	−2.73836	−	7.52359i	−0.112356	−	0.308697i
$595$	8.04938	+	5.24812i	0.329992	+	0.215152i
$596$	11.8645	−	9.95554i	0.485991	−	0.407795i
$597$	−0.384607	−	2.18122i	−0.0157409	−	0.0892713i
$598$	31.6236			1.29318
$599$	3.00165	+	17.0232i	0.122644	+	0.695549i	0.982679	+	0.185315i	$0.0593304\pi$
$599$	3.00165	+	17.0232i	0.122644	+	0.695549i	−0.860035	+	0.510235i	$0.829558\pi$
$600$	−0.792784	−	1.18460i	−0.0323653	−	0.0483611i
$601$	8.56335	+	7.18550i	0.349306	+	0.293103i	0.800511	−	0.599318i	$-0.204561\pi$
$601$	8.56335	+	7.18550i	0.349306	+	0.293103i	−0.451205	+	0.892420i	$0.649006\pi$
$602$	32.5666	−	18.8024i	1.32732	−	0.766327i
$603$	−8.31456	−	4.80041i	−0.338595	−	0.195488i
$604$	−3.65851	+	1.33159i	−0.148863	+	0.0541816i
$605$	11.6485	+	22.9644i	0.473579	+	0.933634i
$606$	−1.62283	+	0.936941i	−0.0659229	+	0.0380606i
$607$	−1.43293	+	8.12655i	−0.0581608	+	0.329846i	−0.999980	−	0.00627265i	$-0.998003\pi$
$607$	−1.43293	+	8.12655i	−0.0581608	+	0.329846i	0.941820	+	0.336119i	$0.109114\pi$
$608$	6.07243	+	1.07073i	0.246270	+	0.0434240i
$609$	−3.80890	+	4.53927i	−0.154344	+	0.183941i
$610$	15.9750	+	10.4155i	0.646807	+	0.421712i
$611$	14.9996	−	41.2110i	0.606817	−	1.66722i
$612$	2.44892	+	2.05489i	0.0989919	+	0.0830640i
$613$	−24.8365	−	4.37934i	−1.00313	−	0.176880i	−0.352128	−	0.935952i	$-0.614542\pi$
$613$	−24.8365	−	4.37934i	−1.00313	−	0.176880i	−0.651007	+	0.759072i	$0.725653\pi$
$614$	−14.4250	−	2.54353i	−0.582148	−	0.102648i
$615$	1.53064	+	5.03920i	0.0617215	+	0.203200i
$616$	−11.9669	−	14.2616i	−0.482159	−	0.574615i
$617$	−1.85891	−	5.10733i	−0.0748371	−	0.205613i	0.896633	−	0.442774i	$-0.146005\pi$
$617$	−1.85891	−	5.10733i	−0.0748371	−	0.205613i	−0.971470	+	0.237161i	$0.923783\pi$
$618$	−1.24332	−	0.717831i	−0.0500136	−	0.0288754i
$619$	−0.0863495	−	0.149562i	−0.00347068	−	0.00601139i	0.864285	−	0.503003i	$-0.167771\pi$
$619$	−0.0863495	−	0.149562i	−0.00347068	−	0.00601139i	−0.867756	+	0.496991i	$0.834438\pi$
$620$	−2.10642	−	2.80589i	−0.0845959	−	0.112687i
$621$	9.34561	+	5.39569i	0.375026	+	0.216522i
$622$	7.40264	−	1.30529i	0.296819	−	0.0523372i
$623$	8.36457			0.335119
$624$	1.38820	−	0.244777i	0.0555724	−	0.00979892i
$625$	24.4153	+	5.37513i	0.976613	+	0.215005i
$626$	32.1085	+	11.6866i	1.28332	+	0.467089i
$627$	7.83805	−	2.85282i	0.313022	−	0.113931i
$628$			11.4365i			0.456368i
$629$	2.37765	−	6.22365i	0.0948033	−	0.248153i
$630$	−24.9397	−	5.80547i	−0.993621	−	0.231295i
$631$	−5.37382	−	14.7644i	−0.213928	−	0.587763i	0.785592	−	0.618745i	$-0.212359\pi$
$631$	−5.37382	−	14.7644i	−0.213928	−	0.587763i	−0.999520	+	0.0309822i	$0.990136\pi$
$632$	−4.44240	+	12.2054i	−0.176709	+	0.485504i
$633$	−1.53996	−	1.83526i	−0.0612080	−	0.0729449i
$634$	12.5100	−	2.20585i	0.496835	−	0.0876054i
$635$	45.9175	+	10.6887i	1.82218	+	0.424167i
$636$	0.102663	+	0.582233i	0.00407087	+	0.0230870i
$637$	20.7517	−	35.9430i	0.822212	−	1.42411i
$638$	16.1585	−	19.2570i	0.639722	−	0.762391i
$639$	−20.5614	−	35.6134i	−0.813396	−	1.40884i
$640$	−1.63259	−	1.52796i	−0.0645337	−	0.0603979i
$641$	28.5555	−	10.3933i	1.12787	−	0.410513i	0.290354	−	0.956919i	$-0.406227\pi$
$641$	28.5555	−	10.3933i	1.12787	−	0.410513i	0.837520	+	0.546407i	$0.184005\pi$
$642$	−0.862557	+	0.723772i	−0.0340424	+	0.0285650i
$643$	8.00273	+	13.8611i	0.315597	+	0.546630i	0.979564	−	0.201132i	$-0.0644620\pi$
$643$	8.00273	+	13.8611i	0.315597	+	0.546630i	−0.663967	+	0.747762i	$0.731129\pi$
$644$	24.7117	+	4.35734i	0.973777	+	0.171703i
$645$	2.39748	−	5.61974i	0.0944007	−	0.221277i
$646$	−4.34117	+	5.17360i	−0.170801	+	0.203553i
$647$	−21.5776	−	7.85359i	−0.848301	−	0.308756i	−0.118954	−	0.992900i	$-0.537954\pi$
$647$	−21.5776	−	7.85359i	−0.848301	−	0.308756i	−0.729347	+	0.684143i	$0.760176\pi$
$648$	−7.77611	−	2.83027i	−0.305474	−	0.111184i
$649$	−22.9452	+	27.3451i	−0.900680	+	1.07339i
$650$	−14.6043	+	19.9485i	−0.572828	+	0.782444i
$651$	1.72837	+	0.304758i	0.0677401	+	0.0119444i
$652$	−6.82947	−	11.8290i	−0.267463	−	0.463259i
$653$	12.0815	−	10.1376i	0.472784	−	0.396713i	−0.375025	−	0.927015i	$-0.622366\pi$
$653$	12.0815	−	10.1376i	0.472784	−	0.396713i	0.847809	+	0.530302i	$0.177921\pi$
$654$	−3.12389	+	1.13700i	−0.122154	+	0.0444603i
$655$	−12.1911	+	13.0259i	−0.476347	+	0.508965i
$656$	4.13086	+	7.15487i	0.161283	+	0.279351i
$657$	3.76134	−	4.48259i	0.146744	−	0.174882i
$658$	17.3995	−	30.1368i	0.678303	−	1.17486i
$659$	2.22149	+	12.5987i	0.0865368	+	0.490775i	0.997014	+	0.0772162i	$0.0246032\pi$
$659$	2.22149	+	12.5987i	0.0865368	+	0.490775i	−0.910478	+	0.413558i	$0.864286\pi$
$660$	−2.94603	−	0.685777i	−0.114674	−	0.0266939i
$661$	−30.2384	+	5.33185i	−1.17614	+	0.207385i	−0.727359	−	0.686258i	$-0.759252\pi$
$661$	−30.2384	+	5.33185i	−1.17614	+	0.207385i	−0.448780	+	0.893642i	$0.648141\pi$
$662$	0.860143	+	1.02508i	0.0334304	+	0.0398408i
$663$	−0.528055	+	1.45082i	−0.0205080	+	0.0563452i
$664$	−0.412174	−	1.13244i	−0.0159955	−	0.0439472i
$665$	12.2646	−	52.6876i	0.475602	−	2.04314i
$666$	−0.281535	+	17.7517i	−0.0109093	+	0.687864i
$667$			33.8822i			1.31192i
$668$	2.79834	−	1.01851i	0.108271	−	0.0394075i
$669$	−2.74142	−	0.997796i	−0.105990	−	0.0385770i
$670$	−6.55966	+	3.32733i	−0.253422	+	0.128546i
$671$	39.8538	−	7.02730i	1.53854	−	0.271286i
$672$	1.11851			0.0431475
$673$	−9.84612	+	1.73614i	−0.379540	+	0.0669231i	−0.360164	−	0.932889i	$-0.617279\pi$
$673$	−9.84612	+	1.73614i	−0.379540	+	0.0669231i	−0.0193762	+	0.999812i	$0.506168\pi$
$674$	−30.5795	−	17.6551i	−1.17788	−	0.680049i
$675$	−7.71962	+	3.40348i	−0.297128	+	0.131000i
$676$	−5.72455	−	9.91521i	−0.220175	−	0.381354i
$677$	31.4632	+	18.1653i	1.20923	+	0.698148i	0.962591	−	0.270960i	$-0.0873410\pi$
$677$	31.4632	+	18.1653i	1.20923	+	0.698148i	0.246637	+	0.969108i	$0.420674\pi$
$678$	−0.375373	−	1.03133i	−0.0144161	−	0.0396079i
$679$	−25.5948	−	30.5027i	−0.982238	−	1.17059i
$680$	2.34341	−	0.711807i	0.0898658	−	0.0272965i
$681$	−0.999539	−	0.176246i	−0.0383024	−	0.00675375i
$682$	−7.33227	−	1.29288i	−0.280767	−	0.0495068i
$683$	32.9756	+	27.6698i	1.26178	+	1.05876i	0.995490	+	0.0948615i	$0.0302408\pi$
$683$	32.9756	+	27.6698i	1.26178	+	1.05876i	0.266285	+	0.963894i	$0.414204\pi$
$684$	6.15541	−	16.9118i	0.235358	−	0.646640i
$685$	0.568290	+	0.370519i	0.0217132	+	0.0141568i
$686$	3.51480	−	4.18877i	0.134196	−	0.159928i
$687$	−7.87869	−	1.38923i	−0.300591	−	0.0530022i
$688$	1.66434	−	9.43893i	0.0634523	−	0.359856i
$689$	8.88052	−	5.12717i	0.338321	−	0.195330i
$690$	3.63593	−	1.84430i	0.138417	−	0.0702111i
$691$	−10.9649	+	3.99089i	−0.417124	+	0.151821i	−0.542052	−	0.840345i	$-0.682352\pi$
$691$	−10.9649	+	3.99089i	−0.417124	+	0.151821i	0.124928	+	0.992166i	$0.460130\pi$
$692$	9.66380	+	5.57940i	0.367362	+	0.212097i
$693$	−47.0585	+	27.1692i	−1.78760	+	1.03207i
$694$	14.9214	+	12.5206i	0.566410	+	0.475274i
$695$	4.59048	+	4.29629i	0.174127	+	0.162968i
$696$	0.262260	+	1.48735i	0.00994092	+	0.0563778i
$697$	−9.04895			−0.342754
$698$	−4.79188	−	27.1761i	−0.181375	−	1.02863i
$699$	1.81818	−	1.52563i	0.0687698	−	0.0577047i
$700$	−14.1609	+	13.5761i	−0.535233	+	0.513128i
$701$	−0.621922	−	1.70872i	−0.0234897	−	0.0645374i	0.927394	−	0.374087i	$-0.122044\pi$
$701$	−0.621922	−	1.70872i	−0.0234897	−	0.0645374i	−0.950883	+	0.309550i	$0.899822\pi$
$702$		−	8.34313i		−	0.314891i
$703$	−37.5023	−	0.594772i	−1.41442	−	0.0224322i
$704$	−4.74506			−0.178836
$705$	−0.678856	−	5.61301i	−0.0255672	−	0.211398i
$706$	−16.1356	−	5.87288i	−0.607271	−	0.221029i
$707$	16.5772	+	19.7560i	0.623451	+	0.743000i
$708$	−0.372411	−	2.11205i	−0.0139961	−	0.0793756i
$709$			12.1416i			0.455988i	0.973663	+	0.227994i	$0.0732167\pi$
$709$			12.1416i			0.455988i	−0.973663	+	0.227994i	$0.926783\pi$
$710$	−31.4584	−	1.70590i	−1.18061	−	0.0640215i
$711$	32.8314	+	18.9552i	1.23128	+	0.710877i
$712$	1.37038	−	1.63315i	0.0513570	−	0.0612049i
$713$	8.69071	−	5.01758i	0.325470	−	0.187910i
$714$	−0.612544	+	1.06096i	−0.0229239	+	0.0397054i
$715$	6.29922	+	52.0841i	0.235577	+	1.94784i
$716$	4.52989	+	5.39852i	0.169290	+	0.201752i
$717$	0.961530	+	1.66542i	0.0359090	+	0.0621962i
$718$	4.94155	−	28.0249i	0.184417	−	1.04588i
$719$	1.73099	−	9.81691i	0.0645549	−	0.366109i	−0.935368	−	0.353676i	$-0.884931\pi$
$719$	1.73099	−	9.81691i	0.0645549	−	0.366109i	0.999923	−	0.0124324i	$-0.00395747\pi$
$720$	−5.21939	+	3.91827i	−0.194515	+	0.146025i
$721$	−6.75781	+	18.5669i	−0.251674	+	0.691469i
$722$	17.8738	+	6.50554i	0.665195	+	0.242111i
$723$	0.238520	+	0.200142i	0.00887066	+	0.00744337i
$724$	1.07200	−	6.07963i	0.0398407	−	0.225948i
$725$	−21.3732	−	15.6474i	−0.793782	−	0.581129i
$726$	−2.84307	+	1.64145i	−0.105516	+	0.0609198i
$727$	−0.172933	+	0.145108i	−0.00641373	+	0.00538176i	−0.645989	−	0.763347i	$-0.723555\pi$
$727$	−0.172933	+	0.145108i	−0.00641373	+	0.00538176i	0.639575	+	0.768729i	$0.279110\pi$
$728$	−6.63520	−	18.2301i	−0.245917	−	0.675652i
$729$	−11.3549	+	19.6673i	−0.420553	+	0.728420i
$730$	−1.30291	−	4.28946i	−0.0482230	−	0.158760i
$731$	8.04179	+	6.74786i	0.297436	+	0.249579i
$732$	−1.21567	+	2.10560i	−0.0449324	+	0.0778252i
$733$	25.4959	−	4.49561i	0.941712	−	0.166049i	0.318342	−	0.947976i	$-0.396874\pi$
$733$	25.4959	−	4.49561i	0.941712	−	0.166049i	0.623370	+	0.781927i	$0.285763\pi$
$734$		−	21.6252i		−	0.798201i
$735$	0.289726	−	5.34279i	0.0106867	−	0.197072i
$736$	4.89930	−	4.11100i	0.180590	−	0.151533i
$737$	−5.33837	+	14.6670i	−0.196641	+	0.540268i
$738$	22.6595	−	8.24739i	0.834108	−	0.303590i
$739$	11.8002			0.434078			0.217039	−	0.976163i	$-0.430360\pi$
$739$	11.8002			0.434078			0.217039	+	0.976163i	$0.430360\pi$
$740$	11.2745	+	7.60832i	0.414457	+	0.279687i
$741$	8.69184			0.319303
$742$	7.64598	−	2.78291i	0.280693	−	0.102164i
$743$	−12.3498	+	33.9309i	−0.453071	+	1.24480i	0.477481	+	0.878642i	$0.341550\pi$
$743$	−12.3498	+	33.9309i	−0.453071	+	1.24480i	−0.930552	+	0.366160i	$0.880672\pi$
$744$	0.342663	−	0.287529i	0.0125627	−	0.0105413i
$745$	−34.5816	−	1.87527i	−1.26697	−	0.0687044i
$746$			19.5824i			0.716961i
$747$	−3.46397	+	0.610792i	−0.126740	+	0.0223477i
$748$	2.59860	−	4.50091i	0.0950143	−	0.164570i
$749$	11.8711	+	9.96102i	0.433760	+	0.363968i
$750$	−0.515733	+	3.14531i	−0.0188319	+	0.114850i
$751$	−6.67772	+	11.5662i	−0.243674	+	0.422055i	−0.961758	−	0.273901i	$-0.911686\pi$
$751$	−6.67772	+	11.5662i	−0.243674	+	0.422055i	0.718084	+	0.695956i	$0.245019\pi$
$752$	−3.03352	−	8.33453i	−0.110621	−	0.303929i
$753$	−3.13747	+	2.63265i	−0.114336	+	0.0959390i
$754$	22.6858	−	13.0977i	0.826168	−	0.476989i
$755$	8.00745	+	3.41612i	0.291421	+	0.124325i
$756$	1.14958	−	6.51959i	0.0418098	−	0.237115i
$757$	4.74878	+	3.98470i	0.172597	+	0.144826i	0.724994	−	0.688755i	$-0.241842\pi$
$757$	4.74878	+	3.98470i	0.172597	+	0.144826i	−0.552397	+	0.833581i	$0.686287\pi$
$758$	14.3875	+	5.23661i	0.522577	+	0.190202i
$759$	2.95898	−	8.12974i	0.107404	−	0.295091i
$760$	−8.27774	−	11.0265i	−0.300265	−	0.399973i
$761$	−5.25326	+	29.7927i	−0.190431	+	1.07999i	0.728347	+	0.685209i	$0.240289\pi$
$761$	−5.25326	+	29.7927i	−0.190431	+	1.07999i	−0.918777	+	0.394776i	$0.870822\pi$
$762$	−1.04374	+	5.91932i	−0.0378106	+	0.214434i
$763$	22.8761	+	39.6226i	0.828171	+	1.43443i
$764$	−7.58339	−	9.03753i	−0.274357	−	0.326966i
$765$	−0.858291	−	7.09664i	−0.0310316	−	0.256580i
$766$	0.339639	−	0.588271i	0.0122716	−	0.0212551i
$767$	−32.2140	+	18.5988i	−1.16318	+	0.671563i
$768$	0.183247	−	0.218385i	0.00661235	−	0.00788029i
$769$	−31.0106	−	17.9040i	−1.11827	−	0.645634i	−0.177312	−	0.984155i	$-0.556740\pi$
$769$	−31.0106	−	17.9040i	−1.11827	−	0.645634i	−0.940959	+	0.338521i	$0.890073\pi$
$770$	−2.25413	+	41.5681i	−0.0812332	+	1.49801i
$771$		−	2.88984i		−	0.104075i
$772$	−3.86618	−	21.9262i	−0.139147	−	0.789141i
$773$	−18.4649	−	22.0056i	−0.664135	−	0.791485i	0.323838	−	0.946113i	$-0.395027\pi$
$773$	−18.4649	−	22.0056i	−0.664135	−	0.791485i	−0.987973	+	0.154627i	$0.950582\pi$
$774$	−26.2876	−	9.56790i	−0.944888	−	0.343911i
$775$	−0.848376	+	7.79939i	−0.0304745	+	0.280162i
$776$	−10.1488			−0.364319
$777$	−6.71816	+	1.07504i	−0.241013	+	0.0385668i
$778$			1.40215i			0.0502695i
$779$	17.4234	+	47.8705i	0.624260	+	1.71514i
$780$	−2.64037	−	1.72149i	−0.0945402	−	0.0616393i
$781$	−51.2136	+	42.9733i	−1.83257	+	1.53771i
$782$	1.21640	+	6.89856i	0.0434985	+	0.246692i
$783$	8.93901			0.319454
$784$	−1.45755	−	8.26616i	−0.0520552	−	0.295220i
$785$	17.4746	−	18.6711i	0.623694	−	0.666402i
$786$	−1.74243	−	1.46207i	−0.0621505	−	0.0521504i
$787$	6.25681	−	3.61237i	0.223031	−	0.128767i	−0.384322	−	0.923199i	$-0.625565\pi$
$787$	6.25681	−	3.61237i	0.223031	−	0.128767i	0.607353	+	0.794432i	$0.292231\pi$
$788$	13.1574	+	7.59643i	0.468713	+	0.270612i
$789$	−6.69470	+	2.43667i	−0.238338	+	0.0867478i
$790$	25.9019	−	13.1385i	0.921549	−	0.467449i
$791$	−13.0811	+	7.55238i	−0.465110	+	0.268532i
$792$	−2.40495	+	13.6391i	−0.0854562	+	0.484646i
$793$	41.5297	+	7.32281i	1.47476	+	0.260041i
$794$	−10.0221	+	11.9439i	−0.355672	+	0.423873i
$795$	0.722021	−	1.10741i	0.0256075	−	0.0392758i
$796$	−2.65724	+	7.30070i	−0.0941833	+	0.258766i
$797$	−5.23096	−	4.38930i	−0.185290	−	0.155477i	0.545424	−	0.838160i	$-0.316368\pi$
$797$	−5.23096	−	4.38930i	−0.185290	−	0.155477i	−0.730715	+	0.682683i	$0.760813\pi$
$798$	6.79208	+	1.19763i	0.240437	+	0.0423955i
$799$	9.56697	+	1.68692i	0.338455	+	0.0596788i
$800$	0.330680	+	4.98905i	0.0116913	+	0.176390i
$801$	−3.99976	−	4.76672i	−0.141324	−	0.168424i
$802$	9.04585	+	24.8533i	0.319420	+	0.877599i
$803$	−8.23861	−	4.75656i	−0.290734	−	0.167856i
$804$	−0.468871	−	0.812109i	−0.0165358	−	0.0286409i
$805$	−33.6861	−	44.8722i	−1.18728	−	1.58154i
$806$	−6.71904	−	3.87924i	−0.236668	−	0.136640i
$807$	−8.50676	+	1.49997i	−0.299452	+	0.0528015i
$808$	6.57315			0.231243
$809$	39.5103	−	6.96673i	1.38911	−	0.244937i	0.571448	−	0.820638i	$-0.306382\pi$
$809$	39.5103	−	6.96673i	1.38911	−	0.244937i	0.817660	+	0.575701i	$0.195271\pi$
$810$	8.37063	+	16.5022i	0.294114	+	0.579830i
$811$	−26.6442	−	9.69768i	−0.935603	−	0.340532i	−0.171175	−	0.985241i	$-0.554756\pi$
$811$	−26.6442	−	9.69768i	−0.935603	−	0.340532i	−0.764428	+	0.644709i	$0.776979\pi$
$812$	19.5321	−	7.10911i	0.685443	−	0.249481i
$813$			4.47267i			0.156864i
$814$	28.5005	−	4.56065i	0.998942	−	0.159851i
$815$	−6.92451	+	29.7470i	−0.242555	+	1.04199i
$816$	0.106794	+	0.293415i	0.00373855	+	0.0102716i
$817$	20.2132	−	55.5352i	0.707169	−	1.94293i
$818$	7.72632	+	9.20787i	0.270144	+	0.321945i
$819$	−55.7632	+	9.83256i	−1.94852	+	0.343577i
$820$	4.18835	−	17.9927i	0.146264	−	0.628334i
$821$	−3.43988	−	19.5086i	−0.120053	−	0.680853i	−0.984124	−	0.177483i	$-0.943204\pi$
$821$	−3.43988	−	19.5086i	−0.120053	−	0.680853i	0.864071	−	0.503370i	$-0.167907\pi$
$822$	−0.0432459	+	0.0749041i	−0.00150837	+	0.00261258i
$823$	−29.2782	+	34.8924i	−1.02057	+	1.21627i	−0.0444606	+	0.999011i	$0.514157\pi$
$823$	−29.2782	+	34.8924i	−1.02057	+	1.21627i	−0.976113	+	0.217262i	$0.930288\pi$
$824$	2.51798	+	4.36128i	0.0877182	+	0.151932i
$825$	3.76181	+	5.62101i	0.130969	+	0.195698i
$826$	−27.7358	+	10.0950i	−0.965050	+	0.351250i
$827$	12.4315	−	10.4312i	0.432285	−	0.362730i	−0.400528	−	0.916284i	$-0.631173\pi$
$827$	12.4315	−	10.4312i	0.432285	−	0.362730i	0.832813	+	0.553554i	$0.186729\pi$
$828$	−9.33348	−	16.1661i	−0.324361	−	0.561809i
$829$	−31.2562	−	5.51132i	−1.08557	−	0.191416i	−0.397895	−	0.917431i	$-0.630259\pi$
$829$	−31.2562	−	5.51132i	−1.08557	−	0.191416i	−0.687679	+	0.726015i	$0.741370\pi$
$830$	−1.05741	+	2.47859i	−0.0367033	+	0.0860332i
$831$	−4.82583	+	5.75120i	−0.167406	+	0.199507i
$832$	−4.64641	−	1.69115i	−0.161085	−	0.0586302i
$833$	8.63904	+	3.14435i	0.299325	+	0.108945i
$834$	−0.515250	+	0.614052i	−0.0178417	+	0.0212629i
$835$	−6.12478	−	2.61294i	−0.211957	−	0.0904246i
$836$	−28.8141	−	5.08070i	−0.996556	−	0.175720i
$837$	−1.32377	−	2.29284i	−0.0457562	−	0.0792520i
$838$	−13.7381	+	11.5276i	−0.474573	+	0.398214i
$839$	4.10819	−	1.49526i	0.141830	−	0.0516221i	−0.270130	−	0.962824i	$-0.587067\pi$
$839$	4.10819	−	1.49526i	0.141830	−	0.0516221i	0.411960	+	0.911202i	$0.364844\pi$
$840$	−1.82607	−	1.70904i	−0.0630053	−	0.0589674i
$841$	−0.466879	−	0.808658i	−0.0160993	−	0.0278848i
$842$	2.77688	−	3.30936i	0.0956977	−	0.114048i
$843$	−2.19875	+	3.80834i	−0.0757289	+	0.131166i
$844$	1.45930	+	8.27609i	0.0502311	+	0.284875i
$845$	−5.80422	+	24.9343i	−0.199671	+	0.857767i
$846$	−25.4942	+	4.49531i	−0.876507	+	0.154552i
$847$	29.0420	+	34.6109i	0.997895	+	1.18925i
$848$	0.709297	−	1.94878i	0.0243574	−	0.0669213i
$849$	−2.64909	−	7.27833i	−0.0909167	−	0.249792i
$850$	−4.91344	−	2.41855i	−0.168530	−	0.0829557i
$851$	−25.4757	+	29.4010i	−0.873294	+	1.00785i
$852$		−	4.01659i		−	0.137606i
$853$	−32.7424	+	11.9173i	−1.12108	+	0.408040i	−0.835046	−	0.550180i	$-0.814559\pi$
$853$	−32.7424	+	11.9173i	−1.12108	+	0.408040i	−0.286034	+	0.958220i	$0.592337\pi$
$854$	31.4437	+	11.4446i	1.07598	+	0.391625i
$855$	−35.8898	+	18.2048i	−1.22741	+	0.622592i
$856$	3.88970	−	0.685860i	0.132947	−	0.0234422i
$857$	−22.4670			−0.767457			−0.383729	−	0.923446i	$-0.625360\pi$
$857$	−22.4670			−0.767457			−0.383729	+	0.923446i	$0.625360\pi$
$858$	−6.58710	+	1.16148i	−0.224880	+	0.0396524i
$859$	33.2563	+	19.2005i	1.13469	+	0.655113i	0.945110	−	0.326753i	$-0.105954\pi$
$859$	33.2563	+	19.2005i	1.13469	+	0.655113i	0.189579	+	0.981866i	$0.439288\pi$
$860$	−17.1395	+	12.8668i	−0.584451	+	0.438755i
$861$	4.62042	+	8.00279i	0.157463	+	0.272734i
$862$	−21.8874	−	12.6367i	−0.745489	−	0.430408i
$863$	−9.73949	−	26.7590i	−0.331536	−	0.910888i	−0.987713	−	0.156281i	$-0.950050\pi$
$863$	−9.73949	−	26.7590i	−0.331536	−	0.910888i	0.656176	−	0.754608i	$-0.272173\pi$
$864$	−1.08459	−	1.29256i	−0.0368984	−	0.0439738i
$865$	−7.25190	−	23.8747i	−0.246572	−	0.811765i
$866$	6.24237	+	1.10070i	0.212124	+	0.0374033i
$867$	4.43595	+	0.782178i	0.150653	+	0.0265642i
$868$	−4.71596	−	3.95716i	−0.160070	−	0.134315i
$869$	21.0795	−	57.9153i	0.715072	−	1.96464i
$870$	1.84445	−	2.82895i	0.0625326	−	0.0959103i
$871$	−10.4548	+	12.4595i	−0.354246	+	0.422174i
$872$	11.4840	+	2.02494i	0.388897	+	0.0685730i
$873$	−5.14372	+	29.1715i	−0.174088	+	0.987304i
$874$	34.1524	−	19.7179i	1.15522	−	0.666969i
$875$	43.8626	−	0.526817i	1.48283	−	0.0178097i
$876$	0.537076	−	0.195480i	0.0181461	−	0.00660465i
$877$	36.1934	+	20.8963i	1.22216	+	0.705617i	0.965379	−	0.260852i	$-0.0840034\pi$
$877$	36.1934	+	20.8963i	1.22216	+	0.705617i	0.256785	+	0.966469i	$0.417337\pi$
$878$	−15.4876	+	8.94177i	−0.522681	+	0.301770i
$879$	3.84363	+	3.22519i	0.129642	+	0.108783i
$880$	7.74673	+	7.25027i	0.261142	+	0.244406i
$881$	−3.39291	−	19.2422i	−0.114310	−	0.648285i	−0.987089	−	0.160170i	$-0.948796\pi$
$881$	−3.39291	−	19.2422i	−0.114310	−	0.648285i	0.872779	−	0.488115i	$-0.162315\pi$
$882$	−24.4989			−0.824920
$883$	−4.83293	−	27.4089i	−0.162641	−	0.922384i	−0.951463	−	0.307762i	$-0.900420\pi$
$883$	−4.83293	−	27.4089i	−0.162641	−	0.922384i	0.788822	−	0.614622i	$-0.210691\pi$
$884$	4.14871	−	3.48118i	0.139536	−	0.117085i
$885$	−2.61913	+	4.01713i	−0.0880410	+	0.135034i
$886$	5.21661	+	14.3325i	0.175255	+	0.481510i
$887$		−	52.7404i		−	1.77085i	−0.464784	−	0.885424i	$-0.653868\pi$
$887$		−	52.7404i		−	1.77085i	0.464784	−	0.885424i	$-0.346132\pi$
$888$	−0.890747	+	1.48782i	−0.0298915	+	0.0499280i
$889$	82.7223			2.77442
$890$	−4.73265	+	0.572381i	−0.158639	+	0.0191863i
$891$	36.8981	+	13.4298i	1.23613	+	0.449916i
$892$	6.57792	+	7.83926i	0.220245	+	0.262478i
$893$	−9.49679	−	53.8590i	−0.317798	−	1.80232i
$894$		−	4.41536i		−	0.147672i
$895$	0.853270	−	15.7350i	0.0285217	−	0.525964i
$896$	−3.39783	−	1.96174i	−0.113514	−	0.0655371i
$897$	5.79492	−	6.90612i	0.193487	−	0.230589i
$898$	−6.58759	+	3.80335i	−0.219831	+	0.126919i
$899$	4.15630	−	7.19892i	0.138620	−	0.240098i
$900$	14.5081	+	1.57811i	0.483602	+	0.0526036i
$901$	1.46006	+	1.74003i	0.0486417	+	0.0579690i
$902$	−19.6012	−	33.9503i	−0.652649	−	1.13042i
$903$	1.86158	−	10.5575i	0.0619495	−	0.351333i
$904$	−0.668517	+	3.79135i	−0.0222346	+	0.126098i
$905$	−11.0396	+	8.28755i	−0.366968	+	0.275488i
$906$	−0.379611	+	1.04297i	−0.0126117	+	0.0346505i
$907$	−5.13377	−	1.86854i	−0.170464	−	0.0620439i	0.255378	−	0.966841i	$-0.417800\pi$
$907$	−5.13377	−	1.86854i	−0.170464	−	0.0620439i	−0.425842	+	0.904797i	$0.640022\pi$
$908$	2.72730	+	2.28848i	0.0905087	+	0.0759459i
$909$	3.33148	−	18.8938i	0.110498	−	0.626667i
$910$	−17.0223	+	39.9005i	−0.564283	+	1.32269i
$911$	−21.3207	+	12.3095i	−0.706388	+	0.407833i	−0.809722	−	0.586813i	$-0.800382\pi$
$911$	−21.3207	+	12.3095i	−0.706388	+	0.407833i	0.103334	+	0.994647i	$0.467049\pi$
$912$	1.34659	−	1.12992i	0.0445899	−	0.0374154i
$913$	1.95579	+	5.37350i	0.0647274	+	0.177837i
$914$	10.0651	−	17.4333i	0.332924	−	0.576641i
$915$	5.20196	−	1.58008i	0.171971	−	0.0522359i
$916$	21.4975	+	18.0385i	0.710297	+	0.596010i
$917$	−15.6521	+	27.1103i	−0.516879	+	0.895261i
$918$	1.82002	−	0.320919i	0.0600696	−	0.0105919i
$919$			16.8844i			0.556965i	0.960441	+	0.278483i	$0.0898315\pi$
$919$			16.8844i			0.556965i	−0.960441	+	0.278483i	$0.910169\pi$
$920$	−14.2800	−	0.774365i	−0.470796	−	0.0255301i
$921$	−3.19881	+	2.68412i	−0.105404	+	0.0884448i
$922$	−11.9725	+	32.8941i	−0.394292	+	1.08331i
$923$	−65.4646	+	23.8271i	−2.15479	+	0.784280i
$924$	−5.30740			−0.174601
$925$	−6.78133	−	29.6482i	−0.222969	−	0.974826i
$926$	9.21413			0.302795
$927$	13.8122	−	5.02723i	0.453652	−	0.165116i
$928$	1.81194	−	4.97826i	0.0594798	−	0.163420i
$929$	−2.56703	+	2.15399i	−0.0842216	+	0.0706703i	−0.683926	−	0.729551i	$-0.739729\pi$
$929$	−2.56703	+	2.15399i	−0.0842216	+	0.0706703i	0.599705	+	0.800221i	$0.295285\pi$
$930$	−0.998760	−	0.0541601i	−0.0327506	−	0.00177598i
$931$		−	51.7563i		−	1.69625i
$932$	−8.19908	+	1.44572i	−0.268570	+	0.0473561i
$933$	1.07146	−	1.85582i	0.0350779	−	0.0607567i
$934$	−3.60271	−	3.02304i	−0.117884	−	0.0989167i
$935$	−11.1196	+	3.37757i	−0.363651	+	0.110458i
$936$	−7.21598	+	12.4984i	−0.235862	+	0.408524i
$937$	9.67111	+	26.5712i	0.315942	+	0.868042i	0.991426	+	0.130668i	$0.0417122\pi$
$937$	9.67111	+	26.5712i	0.315942	+	0.868042i	−0.675485	+	0.737374i	$0.736066\pi$
$938$	−9.88644	+	8.29571i	−0.322804	+	0.270864i
$939$	8.43595	−	4.87050i	0.275297	−	0.158943i
$940$	−7.78234	+	18.2419i	−0.253832	+	0.594987i
$941$	8.20895	−	46.5553i	0.267604	−	1.51766i	−0.493912	−	0.869512i	$-0.664434\pi$
$941$	8.20895	−	46.5553i	0.267604	−	1.51766i	0.761516	−	0.648146i	$-0.224455\pi$
$942$	2.49757	+	2.09571i	0.0813752	+	0.0682819i
$943$	49.6520	+	18.0718i	1.61689	+	0.588500i
$944$	−2.57297	+	7.06918i	−0.0837430	+	0.230082i
$945$	−11.8384	+	8.88728i	−0.385105	+	0.289103i
$946$	−7.89739	+	44.7883i	−0.256766	+	1.45619i
$947$	−4.34740	+	24.6553i	−0.141271	+	0.801190i	0.829014	+	0.559227i	$0.188902\pi$
$947$	−4.34740	+	24.6553i	−0.141271	+	0.801190i	−0.970286	+	0.241962i	$0.922209\pi$
$948$	1.85142	+	3.20675i	0.0601313	+	0.104150i
$949$	−6.37207	−	7.59393i	−0.206846	−	0.246509i
$950$	−3.33392	+	30.6498i	−0.108166	+	0.994410i
$951$	1.81069	−	3.13621i	0.0587157	−	0.101699i
$952$	3.72160	−	2.14866i	0.120618	−	0.0696386i
$953$	−25.9207	+	30.8910i	−0.839653	+	1.00066i	0.160255	+	0.987076i	$0.448768\pi$
$953$	−25.9207	+	30.8910i	−0.839653	+	1.00066i	−0.999908	+	0.0135835i	$0.995676\pi$
$954$	−5.24205	−	3.02650i	−0.169717	−	0.0979864i
$955$	−1.42844	+	26.3417i	−0.0462232	+	0.852396i
$956$		−	6.74565i		−	0.218170i
$957$	−1.24444	−	7.05756i	−0.0402270	−	0.228139i
$958$	−21.4002	−	25.5038i	−0.691410	−	0.823991i
$959$	1.11857	+	0.407126i	0.0361205	+	0.0131468i
$960$	−0.632850	+	0.0765389i	−0.0204251	+	0.00247028i
$961$	28.5380			0.920580
$962$	29.5334	+	5.69183i	0.952194	+	0.183512i
$963$		−	11.5281i		−	0.371489i
$964$	−0.373554	−	1.02633i	−0.0120314	−	0.0330559i
$965$	−27.1905	+	41.7038i	−0.875292	+	1.34249i
$966$	5.47991	−	4.59819i	0.176313	−	0.147944i
$967$	−0.258081	−	1.46365i	−0.00829932	−	0.0470678i	0.980377	−	0.197132i	$-0.0631629\pi$
$967$	−0.258081	−	1.46365i	−0.00829932	−	0.0470678i	−0.988676	+	0.150065i	$0.952052\pi$
$968$	11.5156			0.370127
$969$	0.334332	+	1.89609i	0.0107403	+	0.0609112i
$970$	16.5687	+	15.5069i	0.531990	+	0.497896i
$971$	−12.6135	−	10.5840i	−0.404788	−	0.339657i	0.417553	−	0.908653i	$-0.362888\pi$
$971$	−12.6135	−	10.5840i	−0.404788	−	0.339657i	−0.822341	+	0.568995i	$0.807332\pi$
$972$	−6.42682	+	3.71053i	−0.206140	+	0.119015i
$973$	9.55397	+	5.51599i	0.306286	+	0.176834i
$974$	1.43147	−	0.521013i	0.0458673	−	0.0166943i
$975$	1.68026	+	6.84486i	0.0538112	+	0.219211i
$976$	7.38596	−	4.26429i	0.236419	−	0.136496i
$977$	8.20424	−	46.5285i	0.262477	−	1.48858i	−0.513648	−	0.858001i	$-0.671706\pi$
$977$	8.20424	−	46.5285i	0.262477	−	1.48858i	0.776125	−	0.630579i	$-0.217183\pi$
$978$	−3.83475	−	0.676170i	−0.122622	−	0.0216215i
$979$	−6.50252	+	7.74940i	−0.207822	+	0.247672i
$980$	−10.2508	+	15.7223i	−0.327449	+	0.502230i
$981$	11.6409	−	31.9831i	0.371665	−	1.02114i
$982$	−11.6306	−	9.75920i	−0.371146	−	0.311428i
$983$	50.3497	+	8.87801i	1.60591	+	0.283165i	0.903493	−	0.428604i	$-0.140994\pi$
$983$	50.3497	+	8.87801i	1.60591	+	0.283165i	0.702414	+	0.711768i	$0.252105\pi$
$984$	2.31948	+	0.408988i	0.0739424	+	0.0130380i
$985$	−9.87356	−	32.5058i	−0.314598	−	1.03572i
$986$	3.72981	+	4.44502i	0.118781	+	0.141558i
$987$	−3.39303	−	9.32226i	−0.108001	−	0.296731i
$988$	−26.4042	−	15.2445i	−0.840030	−	0.484992i
$989$	−30.6493	−	53.0862i	−0.974592	−	1.68804i
$990$	24.7664	−	18.5924i	0.787126	−	0.590906i
$991$	−27.5895	−	15.9288i	−0.876409	−	0.505995i	−0.00693604	−	0.999976i	$-0.502208\pi$
$991$	−27.5895	−	15.9288i	−0.876409	−	0.505995i	−0.869473	+	0.493981i	$0.835541\pi$
$992$	−1.54524	+	0.272468i	−0.0490615	+	0.00865086i
$993$	0.381480			0.0121059
$994$	−54.4392	+	9.59910i	−1.72671	+	0.304465i
$995$	15.4933	−	7.85887i	0.491172	−	0.249143i
$996$	−0.322838	−	0.117503i	−0.0102295	−	0.00372323i
$997$	18.6092	−	6.77318i	0.589358	−	0.214509i	−0.0300889	−	0.999547i	$-0.509579\pi$
$997$	18.6092	−	6.77318i	0.589358	−	0.214509i	0.619447	+	0.785038i	$0.287357\pi$
$998$			1.67213i			0.0529304i
$999$	7.75674	+	6.72114i	0.245412	+	0.212647i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.v.a.289.5	yes	60
5.4	even	2		370.2.v.b.289.6	yes	60
37.21	even	18		370.2.v.b.169.6	yes	60
185.169	even	18	inner	370.2.v.a.169.5	✓	60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.v.a.169.5	✓	60	185.169	even	18	inner
370.2.v.a.289.5	yes	60	1.1	even	1	trivial
370.2.v.b.169.6	yes	60	37.21	even	18
370.2.v.b.289.6	yes	60	5.4	even	2

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)

\(f(q)\)	\(=\)	\(q+(-0.939693 + 0.342020i) q^{2} +(-0.0975036 + 0.267889i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.23279 - 0.121078i) q^{5} -0.285081i q^{6} +(-3.86387 + 0.681305i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(2.23588 + 1.87612i) q^{9} +O(q^{10})\)	\(q+(-0.939693 + 0.342020i) q^{2} +(-0.0975036 + 0.267889i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.23279 - 0.121078i) q^{5} -0.285081i q^{6} +(-3.86387 + 0.681305i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(2.23588 + 1.87612i) q^{9} +(2.13955 - 0.649882i) q^{10} +(2.37253 - 4.10935i) q^{11} +(0.0975036 + 0.267889i) q^{12} +(3.78779 - 3.17833i) q^{13} +(3.39783 - 1.96174i) q^{14} +(0.250140 - 0.586333i) q^{15} +(0.173648 - 0.984808i) q^{16} +(0.839038 + 0.704036i) q^{17} +(-2.74271 - 0.998264i) q^{18} +(2.10893 - 5.79425i) q^{19} +(-1.78824 + 1.34246i) q^{20} +(0.194227 - 1.10152i) q^{21} +(-0.823972 + 4.67298i) q^{22} +(-3.19779 - 5.53873i) q^{23} +(-0.183247 - 0.218385i) q^{24} +(4.97068 + 0.540684i) q^{25} +(-2.47230 + 4.28215i) q^{26} +(-1.46126 + 0.843660i) q^{27} +(-2.52196 + 3.00556i) q^{28} +(-4.58799 - 2.64888i) q^{29} +(-0.0345171 + 0.636526i) q^{30} +1.56908i q^{31} +(0.173648 + 0.984808i) q^{32} +(0.869518 + 1.03625i) q^{33} +(-1.02923 - 0.374610i) q^{34} +(8.70969 - 1.05338i) q^{35} +2.91873 q^{36} +(-1.98952 - 5.74820i) q^{37} +6.16611i q^{38} +(0.482117 + 1.32460i) q^{39} +(1.22125 - 1.87311i) q^{40} +(-6.32885 + 5.31054i) q^{41} +(0.194227 + 1.10152i) q^{42} +9.58454 q^{43} +(-0.823972 - 4.67298i) q^{44} +(-4.76508 - 4.45970i) q^{45} +(4.89930 + 4.11100i) q^{46} +(7.68115 - 4.43471i) q^{47} +(0.246888 + 0.142541i) q^{48} +(7.88748 - 2.87081i) q^{49} +(-4.85584 + 1.19200i) q^{50} +(-0.270413 + 0.156123i) q^{51} +(0.858621 - 4.86948i) q^{52} +(2.04234 + 0.360119i) q^{53} +(1.08459 - 1.29256i) q^{54} +(-5.79491 + 8.88804i) q^{55} +(1.34191 - 3.68686i) q^{56} +(1.34659 + 1.12992i) q^{57} +(5.21727 + 0.919946i) q^{58} +(-7.40857 - 1.30633i) q^{59} +(-0.185269 - 0.609945i) q^{60} +(5.48206 + 6.53326i) q^{61} +(-0.536657 - 1.47445i) q^{62} +(-9.91735 - 5.72578i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-8.84215 + 6.63792i) q^{65} +(-1.17150 - 0.676365i) q^{66} +(-3.23941 + 0.571196i) q^{67} +1.09529 q^{68} +(1.79556 - 0.316606i) q^{69} +(-7.82416 + 3.96874i) q^{70} +(-13.2396 - 4.81882i) q^{71} +(-2.74271 + 0.998264i) q^{72} -2.00485i q^{73} +(3.83554 + 4.72108i) q^{74} +(-0.629502 + 1.27887i) q^{75} +(-2.10893 - 5.79425i) q^{76} +(-6.36744 + 17.4944i) q^{77} +(-0.906083 - 1.07983i) q^{78} +(12.7914 - 2.25546i) q^{79} +(-0.506958 + 2.17784i) q^{80} +(1.43697 + 8.14944i) q^{81} +(4.13086 - 7.15487i) q^{82} +(-0.774635 + 0.923174i) q^{83} +(-0.559255 - 0.968659i) q^{84} +(-1.78815 - 1.67355i) q^{85} +(-9.00652 + 3.27811i) q^{86} +(1.15695 - 0.970797i) q^{87} +(2.37253 + 4.10935i) q^{88} +(-2.09954 - 0.370205i) q^{89} +(6.00302 + 2.56099i) q^{90} +(-12.4701 + 14.8613i) q^{91} +(-6.00988 - 2.18742i) q^{92} +(-0.420339 - 0.152991i) q^{93} +(-5.70116 + 6.79437i) q^{94} +(-5.41036 + 12.6820i) q^{95} +(-0.280750 - 0.0495039i) q^{96} +(5.07438 + 8.78908i) q^{97} +(-6.42993 + 5.39535i) q^{98} +(13.0143 - 4.73683i) 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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