LMFDB - Embedded newform 370.2.v.a.169.5

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			169.5
Character	$\chi$	$=$	370.169
Dual form			370.2.v.a.289.5

$q$-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 $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{11}{18}\right)$	$-1$

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	0.908358	−	0.418193i	$-0.137336\pi$
$3$	−0.0975036	−	0.267889i	−0.0562937	−	0.154666i	−0.964652	+	0.263527i	$0.915114\pi$
$4$	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	−0.613687	−	0.789549i	$-0.710314\pi$
$7$	−3.86387	−	0.681305i	−1.46041	−	0.257509i	−0.846719	+	0.532040i	$0.821425\pi$
$8$	−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	0.962826	+	0.270122i	$0.0870640\pi$
$11$	2.37253	+	4.10935i	0.715345	+	1.23901i	−0.247481	+	0.968893i	$0.579603\pi$
$12$	0.0975036	−	0.267889i	0.0281469	−	0.0773329i
$13$	3.78779	+	3.17833i	1.05054	+	0.881510i	0.993151	−	0.116842i	$-0.0372770\pi$
$13$	3.78779	+	3.17833i	1.05054	+	0.881510i	0.0573922	+	0.998352i	$0.481721\pi$
$14$	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	−0.535344	−	0.844634i	$-0.679818\pi$
$17$	0.839038	−	0.704036i	0.203497	−	0.170754i	0.738841	+	0.673880i	$0.235374\pi$
$18$	−2.74271	+	0.998264i	−0.646462	+	0.235293i
$19$	2.10893	+	5.79425i	0.483823	+	1.32929i	0.906191	+	0.422868i	$0.138977\pi$
$19$	2.10893	+	5.79425i	0.483823	+	1.32929i	−0.422369	+	0.906424i	$0.638801\pi$
$20$	−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	0.312013	+	0.950078i	$0.398997\pi$
$23$	−3.19779	+	5.53873i	−0.666785	+	1.15491i	−0.978798	+	0.204828i	$0.934337\pi$
$24$	−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	−0.861315	−	0.508072i	$-0.830358\pi$
$29$	−4.58799	+	2.64888i	−0.851969	+	0.491884i	0.00934576	+	0.999956i	$0.497025\pi$
$30$	−0.0345171	−	0.636526i	−0.00630194	−	0.116213i
$31$		−	1.56908i		−	0.281815i	−0.990023	−	0.140907i	$-0.954998\pi$
$31$		−	1.56908i		−	0.281815i	0.990023	−	0.140907i	$-0.0450020\pi$
$32$	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	−0.00306512	−	0.999995i	$-0.500976\pi$
$41$	−6.32885	−	5.31054i	−0.988401	−	0.829366i	−0.985335	+	0.170629i	$0.945420\pi$
$42$	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	0.941506	−	0.336997i	$-0.109411\pi$
$47$	7.68115	+	4.43471i	1.12041	+	0.646869i	0.178905	+	0.983866i	$0.442745\pi$
$48$	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	−0.0316093	−	0.999500i	$-0.510063\pi$
$53$	2.04234	−	0.360119i	0.280537	−	0.0494662i	0.312146	+	0.950034i	$0.398952\pi$
$54$	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	−0.633660	−	0.773612i	$-0.718448\pi$
$59$	−7.40857	+	1.30633i	−0.964514	+	0.170070i	−0.330854	+	0.943682i	$0.607337\pi$
$60$	−0.185269	+	0.609945i	−0.0239182	+	0.0787435i
$61$	5.48206	−	6.53326i	0.701906	−	0.836499i	−0.290835	−	0.956773i	$-0.593933\pi$
$61$	5.48206	−	6.53326i	0.701906	−	0.836499i	0.992741	+	0.120274i	$0.0383775\pi$
$62$	−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	−0.0277719	−	0.999614i	$-0.508841\pi$
$67$	−3.23941	−	0.571196i	−0.395757	−	0.0697827i	−0.367985	+	0.929832i	$0.619952\pi$
$68$	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	−0.973278	−	0.229628i	$-0.926249\pi$
$71$	−13.2396	+	4.81882i	−1.57125	+	0.571889i	−0.597973	+	0.801517i	$0.704027\pi$
$72$	−2.74271	−	0.998264i	−0.323231	−	0.117647i
$73$			2.00485i			0.234650i	0.993094	+	0.117325i	$0.0374319\pi$
$73$			2.00485i			0.234650i	−0.993094	+	0.117325i	$0.962568\pi$
$74$	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	0.838126	−	0.545477i	$-0.183652\pi$
$79$	12.7914	+	2.25546i	1.43914	+	0.253760i	0.601016	+	0.799237i	$0.294763\pi$
$80$	−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	0.721854	−	0.692046i	$-0.243290\pi$
$83$	−0.774635	−	0.923174i	−0.0850272	−	0.101331i	−0.806881	+	0.590714i	$0.798846\pi$
$84$	−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	−0.283811	−	0.958880i	$-0.591599\pi$
$89$	−2.09954	+	0.370205i	−0.222551	+	0.0392417i	0.0612608	+	0.998122i	$0.480488\pi$
$90$	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	−0.484619	−	0.874726i	$-0.661042\pi$
$97$	5.07438	−	8.78908i	0.515225	−	0.892396i	0.999844	−	0.0176707i	$-0.00562506\pi$
$98$	−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	−0.981920	−	0.189295i	$-0.939380\pi$
$101$	−3.28657	+	5.69251i	−0.327026	+	0.566426i	0.654894	+	0.755721i	$0.272713\pi$
$102$	0.200708	+	0.239194i	0.0198730	+	0.0236837i
$103$	2.51798	+	4.36128i	0.248104	+	0.429729i	0.963000	−	0.269502i	$-0.0868591\pi$
$103$	2.51798	+	4.36128i	0.248104	+	0.429729i	−0.714895	+	0.699231i	$0.753526\pi$
$104$	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	−0.874673	−	0.484714i	$-0.838924\pi$
$107$	−2.53882	+	3.02565i	−0.245437	+	0.292501i	0.629235	+	0.777215i	$0.283368\pi$
$108$	−0.577097	−	1.58556i	−0.0555312	−	0.152571i
$109$	−3.98834	+	10.9579i	−0.382014	+	1.04958i	0.588493	+	0.808502i	$0.299721\pi$
$109$	−3.98834	+	10.9579i	−0.382014	+	1.04958i	−0.970507	+	0.241073i	$0.922501\pi$
$110$	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	0.506527	−	0.862224i	$-0.330929\pi$
$113$	3.61766	+	1.31672i	0.340321	+	0.123867i	−0.166205	+	0.986091i	$0.553151\pi$
$114$	−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	−0.982615	−	0.185655i	$-0.940559\pi$
$127$	−20.7636	+	3.66119i	−1.84247	+	0.324878i	−0.859858	+	0.510532i	$0.829448\pi$
$128$	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	0.942050	−	0.335472i	$-0.108896\pi$
$131$	5.12862	+	6.11205i	0.448089	+	0.534012i	−0.493961	+	0.869484i	$0.664451\pi$
$132$	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	−0.511182	−	0.859473i	$-0.670792\pi$
$137$	−0.262746	+	0.151697i	−0.0224479	+	0.0129603i	0.488734	+	0.872433i	$0.337459\pi$
$138$	−1.57899	−	0.911630i	−0.134413	−	0.0776031i
$139$	−2.15395	+	1.80738i	−0.182696	+	0.153300i	−0.729549	−	0.683929i	$-0.760270\pi$
$139$	−2.15395	+	1.80738i	−0.182696	+	0.153300i	0.546853	+	0.837228i	$0.315826\pi$
$140$	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	−0.486564	−	0.873645i	$-0.661750\pi$
$151$	−3.65851	+	1.33159i	−0.297725	+	0.108363i	0.188839	+	0.982008i	$0.439528\pi$
$152$	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	0.388272	−	0.921545i	$-0.373072\pi$
$157$	−7.35127	−	8.76090i	−0.586695	−	0.699196i	−0.974967	+	0.222349i	$0.928628\pi$
$158$	−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	0.924952	+	0.380083i	$0.124105\pi$
$163$	2.37185	+	13.4514i	0.185778	+	1.05360i	−0.739175	+	0.673514i	$0.764784\pi$
$164$	−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	−0.231471	−	0.972842i	$-0.574354\pi$
$167$	2.79834	−	1.01851i	0.216542	−	0.0788149i	0.448013	+	0.894027i	$0.352132\pi$
$168$	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	−0.705876	−	0.708335i	$-0.749446\pi$
$173$	3.81653	−	10.4858i	0.290166	−	0.797223i	0.996042	−	0.0888879i	$-0.0283313\pi$
$174$	−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	$-0.915166\pi$
$179$		−	7.04726i		−	0.526737i	0.964695	−	0.263369i	$-0.0848335\pi$
$180$	−6.51690	+	0.353394i	−0.485741	+	0.0263405i
$181$	4.72911	+	3.96820i	0.351512	+	0.294954i	0.801397	−	0.598133i	$-0.204090\pi$
$181$	4.72911	+	3.96820i	0.351512	+	0.294954i	−0.449885	+	0.893087i	$0.648535\pi$
$182$	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	$0.140368\pi$
$191$			11.7977i			0.853649i	−0.904335	+	0.426824i	$0.859632\pi$
$192$	0.280750	+	0.0495039i	0.0202614	+	0.00357263i
$193$	11.1322	+	19.2816i	0.801315	+	1.38792i	0.918751	+	0.394837i	$0.129199\pi$
$193$	11.1322	+	19.2816i	0.801315	+	1.38792i	−0.117436	+	0.993080i	$0.537468\pi$
$194$	−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	−0.605059	−	0.796181i	$-0.706850\pi$
$197$	5.19626	−	14.2766i	0.370218	−	1.01717i	0.975277	−	0.220986i	$-0.0709274\pi$
$198$	−10.6094	−	8.90232i	−0.753975	−	0.632661i
$199$	−6.72836	−	3.88462i	−0.476961	−	0.275373i	0.242188	−	0.970229i	$-0.422135\pi$
$199$	−6.72836	−	3.88462i	−0.476961	−	0.275373i	−0.719149	+	0.694856i	$0.755468\pi$
$200$	−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	0.684366	−	0.729139i	$-0.260079\pi$
$211$	−4.20188	−	7.27787i	−0.289269	−	0.501029i	−0.973636	+	0.228109i	$0.926746\pi$
$212$	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	$-0.888679\pi$
$223$		−	10.2334i		−	0.685281i	0.939467	−	0.342641i	$-0.111321\pi$
$224$	−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	−0.957393	−	0.288788i	$-0.906748\pi$
$227$	0.618230	−	3.50615i	0.0410333	−	0.232712i	0.998426	+	0.0560761i	$0.0178589\pi$
$228$	1.75784			0.116416
$229$	4.87308	−	27.6366i	0.322022	−	1.82628i	−0.207801	−	0.978171i	$-0.566631\pi$
$229$	4.87308	−	27.6366i	0.322022	−	1.82628i	0.529823	−	0.848108i	$-0.322258\pi$
$230$	−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	−0.717224	−	0.696843i	$-0.754588\pi$
$233$	−7.21015	+	4.16278i	−0.472353	+	0.272713i	0.244871	+	0.969556i	$0.421254\pi$
$234$	−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	0.887828	−	0.460175i	$-0.152213\pi$
$239$	4.33602	+	5.16747i	0.280474	+	0.334256i	−0.607354	+	0.794431i	$0.707769\pi$
$240$	−0.533989	+	0.348156i	−0.0344689	+	0.0224734i
$241$	0.373554	+	1.02633i	0.0240628	+	0.0661119i	0.951142	−	0.308753i	$-0.0999115\pi$
$241$	0.373554	+	1.02633i	0.0240628	+	0.0661119i	−0.927080	+	0.374864i	$0.877689\pi$
$242$	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	−0.0529884	−	0.998595i	$-0.516875\pi$
$251$	12.4419	−	7.18334i	0.785326	−	0.453408i	0.838315	+	0.545187i	$0.183541\pi$
$252$	−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	0.0273821	−	0.999625i	$-0.491283\pi$
$257$	−9.52557	−	3.46702i	−0.594189	−	0.216267i	−0.621571	+	0.783358i	$0.713505\pi$
$258$			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	0.00694849	−	0.999976i	$-0.497788\pi$
$263$	16.0636	−	19.1439i	0.990526	−	1.18046i	0.983577	−	0.180487i	$-0.0577673\pi$
$264$	−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	0.130098	−	0.991501i	$-0.458471\pi$
$269$	15.1500	−	26.2406i	0.923714	−	1.59992i	0.793616	−	0.608419i	$-0.208196\pi$
$270$	−2.57816	−	2.75470i	−0.156902	−	0.167645i
$271$	14.7429	+	5.36599i	0.895570	+	0.325961i	0.748476	−	0.663162i	$-0.230786\pi$
$271$	14.7429	+	5.36599i	0.895570	+	0.325961i	0.147094	+	0.989123i	$0.453008\pi$
$272$	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	0.534269	−	0.845315i	$-0.320587\pi$
$277$	24.7469	−	9.00715i	1.48690	−	0.541187i	0.952631	+	0.304127i	$0.0983648\pi$
$278$	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	0.298935	−	0.954273i	$-0.403369\pi$
$281$	15.1911	−	2.67859i	0.906223	−	0.159792i	0.607288	+	0.794482i	$0.292258\pi$
$282$	−1.26425	+	2.18975i	−0.0752852	+	0.130398i
$283$	−20.8128	−	17.4640i	−1.23719	−	1.03813i	−0.997738	−	0.0672212i	$-0.978587\pi$
$283$	−20.8128	−	17.4640i	−1.23719	−	1.03813i	−0.239455	−	0.970907i	$-0.576969\pi$
$284$	−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	0.981833	+	0.189745i	$0.0607660\pi$
$293$	6.01964	+	16.5388i	0.351671	+	0.966208i	−0.630163	+	0.776463i	$0.717012\pi$
$294$	−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	−0.0922351	−	0.995737i	$-0.529401\pi$
$307$	12.6852	−	7.32379i	0.723981	−	0.417991i	0.816216	+	0.577747i	$0.196068\pi$
$308$	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	−0.379541	−	0.925175i	$-0.623918\pi$
$311$	−7.40264	+	1.30529i	−0.419765	+	0.0740159i	−0.0402239	+	0.999191i	$0.512807\pi$
$312$	−1.38820	+	0.244777i	−0.0785913	+	0.0138578i
$313$	−26.1751	+	21.9635i	−1.47951	+	1.24145i	−0.572795	+	0.819699i	$0.694141\pi$
$313$	−26.1751	+	21.9635i	−1.47951	+	1.24145i	−0.906711	+	0.421753i	$0.861415\pi$
$314$	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	−0.513539	−	0.858067i	$-0.671666\pi$
$317$	−12.5100	+	2.20585i	−0.702631	+	0.123893i	−0.189092	+	0.981959i	$0.560555\pi$
$318$	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	−0.951635	−	0.307231i	$-0.900598\pi$
$331$	−0.457673	+	1.25744i	−0.0251560	+	0.0691154i	0.926479	+	0.376346i	$0.122820\pi$
$332$		−	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	0.408307	−	0.912845i	$-0.366119\pi$
$337$	22.6970	−	27.0492i	1.23638	−	1.47346i	0.828075	−	0.560618i	$-0.189436\pi$
$338$	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	0.476816	+	0.879003i	$0.341791\pi$
$347$	−9.73927	+	16.8689i	−0.522831	+	0.905570i	−0.999647	+	0.0265672i	$0.991542\pi$
$348$	0.262260	+	1.48735i	0.0140586	+	0.0797302i
$349$	−4.79188	−	27.1761i	−0.256504	−	1.45470i	−0.792183	−	0.610283i	$-0.791056\pi$
$349$	−4.79188	−	27.1761i	−0.256504	−	1.45470i	0.535680	−	0.844421i	$-0.320055\pi$
$350$	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	−0.221695	−	0.975116i	$-0.571159\pi$
$353$	13.1539	−	11.0374i	0.700109	−	0.587462i	0.921805	+	0.387654i	$0.126715\pi$
$354$	−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	−0.947359	−	0.320173i	$-0.896259\pi$
$359$	−14.2286	−	24.6447i	−0.750958	−	1.30070i	0.196401	−	0.980524i	$-0.437075\pi$
$360$	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	−0.968750	−	0.248040i	$-0.920214\pi$
$367$	−7.39625	−	20.3210i	−0.386081	−	1.06075i	0.582669	−	0.812710i	$-0.302009\pi$
$368$	−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	0.983375	+	0.181585i	$0.0581227\pi$
$373$	6.69756	+	18.4014i	0.346787	+	0.952788i	−0.636589	+	0.771204i	$0.719655\pi$
$374$	−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	−0.892238	−	0.451566i	$-0.850865\pi$
$379$	−11.7288	+	9.84161i	−0.602467	+	0.505530i	0.289771	+	0.957096i	$0.406421\pi$
$380$	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	0.629396	−	0.777084i	$-0.283302\pi$
$383$	−0.520356	−	0.436631i	−0.0265890	−	0.0223108i	−0.655985	+	0.754774i	$0.727747\pi$
$384$	−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	0.951256	−	0.308402i	$-0.0997941\pi$
$389$	0.479563	+	1.31759i	0.0243148	+	0.0668044i	−0.926941	+	0.375206i	$0.877572\pi$
$390$	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	0.798982	−	0.601355i	$-0.205372\pi$
$397$	13.5028	+	7.79582i	0.677684	+	0.391261i	−0.121298	+	0.992616i	$0.538706\pi$
$398$	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	$0.229606\pi$
$401$			26.4483i			1.32076i	−0.750930	+	0.660382i	$0.770394\pi$
$402$	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	−0.998880	−	0.0473148i	$-0.984934\pi$
$409$	−4.11109	+	11.2951i	−0.203280	+	0.558508i	0.795600	+	0.605823i	$0.207156\pi$
$410$	−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	0.719100	−	0.694907i	$-0.244554\pi$
$419$	16.8522	+	6.13371i	0.823285	+	0.299651i	0.104185	+	0.994558i	$0.466777\pi$
$420$	1.13141	−	2.23052i	0.0552074	−	0.108838i
$421$	−3.74128	−	2.16003i	−0.182339	−	0.105274i	0.406052	−	0.913850i	$-0.366905\pi$
$421$	−3.74128	−	2.16003i	−0.182339	−	0.105274i	−0.588391	+	0.808576i	$0.700238\pi$
$422$	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	−0.216528	−	0.976276i	$-0.569473\pi$
$431$	16.2455	−	19.3606i	0.782516	−	0.932566i	0.999044	+	0.0437100i	$0.0139178\pi$
$432$	0.577097	−	1.58556i	0.0277656	−	0.0762854i
$433$	−5.48945	+	3.16933i	−0.263806	+	0.152308i	−0.626070	−	0.779767i	$-0.715337\pi$
$433$	−5.48945	+	3.16933i	−0.263806	+	0.152308i	0.362263	+	0.932076i	$0.382004\pi$
$434$	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	0.577324	−	0.816515i	$-0.304097\pi$
$439$	17.6118	+	3.10544i	0.840567	+	0.148215i	0.263243	+	0.964730i	$0.415208\pi$
$440$	−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	$0.118019\pi$
$443$			15.2523i			0.724660i	−0.932050	+	0.362330i	$0.881981\pi$
$444$	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	0.347592	−	0.937646i	$-0.386999\pi$
$449$	7.49113	+	1.32089i	0.353528	+	0.0623366i	0.00593601	+	0.999982i	$0.498110\pi$
$450$	−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	0.206411	−	0.978465i	$-0.433822\pi$
$457$	−15.4206	−	12.9394i	−0.721346	−	0.605281i	−0.927757	+	0.373184i	$0.878266\pi$
$458$	−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	0.967688	+	0.252150i	$0.0811375\pi$
$461$	22.5009	+	26.8155i	1.04797	+	1.24892i	0.0802815	+	0.996772i	$0.474418\pi$
$462$	4.98733	−	1.81524i	0.232032	−	0.0844526i
$463$	−8.65845	+	3.15142i	−0.402393	+	0.146459i	−0.535285	−	0.844672i	$-0.679796\pi$
$463$	−8.65845	+	3.15142i	−0.402393	+	0.146459i	0.132892	+	0.991130i	$0.457574\pi$
$464$	−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	−0.806476	−	0.591267i	$-0.798628\pi$
$467$	2.35150	−	4.07292i	0.108815	−	0.188472i	0.915290	+	0.402795i	$0.131961\pi$
$468$	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	−0.349935	−	0.936774i	$-0.613796\pi$
$479$	11.3868	−	31.2851i	0.520277	−	1.42945i	0.870213	−	0.492677i	$-0.163981\pi$
$480$	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	−0.642322	−	0.766435i	$-0.722029\pi$
$491$	7.59131	−	13.1485i	0.342591	−	0.593385i	0.984913	+	0.173050i	$0.0553622\pi$
$492$	−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	0.951835	−	0.306610i	$-0.0991948\pi$
$499$	0.571903	+	1.57129i	0.0256019	+	0.0703406i	−0.926233	+	0.376951i	$0.876973\pi$
$500$	−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	−0.814740	−	0.579827i	$-0.803120\pi$
$503$	−5.54967	−	31.4737i	−0.247447	−	1.40334i	0.567292	−	0.823517i	$-0.307991\pi$
$504$	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	−0.966263	−	0.257559i	$-0.917082\pi$
$509$	−19.8629	+	16.6669i	−0.880406	+	0.738749i	0.0858562	+	0.996308i	$0.472637\pi$
$510$	−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	−0.511360	−	0.859366i	$-0.670858\pi$
$521$	−8.00476	+	2.91349i	−0.350695	+	0.127642i	0.160665	+	0.987009i	$0.448636\pi$
$522$	9.93924	−	11.8451i	0.435029	−	0.518447i
$523$	3.95789	−	22.4463i	0.173067	−	0.981510i	−0.767285	−	0.641306i	$-0.778393\pi$
$523$	3.95789	−	22.4463i	0.173067	−	0.981510i	0.940352	−	0.340204i	$-0.110496\pi$
$524$			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	0.529658	−	0.848212i	$-0.322320\pi$
$541$	1.39356	+	0.804569i	0.0599136	+	0.0345911i	−0.469744	+	0.882803i	$0.655654\pi$
$542$	−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	0.820987	−	0.570947i	$-0.193424\pi$
$547$	−1.96370	−	3.40123i	−0.0839617	−	0.145426i	−0.904948	+	0.425522i	$0.860091\pi$
$548$	−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	0.0775311	−	0.996990i	$-0.475296\pi$
$557$	−11.8932	−	4.32876i	−0.503929	−	0.183415i	−0.581461	+	0.813575i	$0.697519\pi$
$558$	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	0.920218	−	0.391407i	$-0.128011\pi$
$563$	2.87439	+	4.97858i	0.121141	+	0.209822i	−0.799077	+	0.601229i	$0.794678\pi$
$564$	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	0.749375	−	0.662146i	$-0.230354\pi$
$569$	13.1345	+	7.58320i	0.550626	+	0.317904i	−0.198748	+	0.980051i	$0.563688\pi$
$570$	3.61540	−	1.54239i	0.151432	−	0.0646037i
$571$	4.01872	+	22.7913i	0.168178	+	0.953787i	0.945727	+	0.324963i	$0.105352\pi$
$571$	4.01872	+	22.7913i	0.168178	+	0.953787i	−0.777548	+	0.628823i	$0.783537\pi$
$572$	−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	−0.966709	−	0.255877i	$-0.917636\pi$
$577$	−3.50259	−	19.8642i	−0.145815	−	0.826957i	0.820895	−	0.571080i	$-0.193475\pi$
$578$	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	0.827352	+	0.561684i	$0.189846\pi$
$587$	−3.44552	+	19.5405i	−0.142212	+	0.806522i	−0.969564	+	0.244839i	$0.921265\pi$
$588$	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	$0.00422314\pi$
$593$			0.646145i			0.0265340i	−0.999912	+	0.0132670i	$0.995777\pi$
$594$	−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	−0.860035	−	0.510235i	$-0.829558\pi$
$599$	3.00165	−	17.0232i	0.122644	−	0.695549i	0.982679	−	0.185315i	$-0.0593304\pi$
$600$	−0.792784	+	1.18460i	−0.0323653	+	0.0483611i
$601$	8.56335	−	7.18550i	0.349306	−	0.293103i	−0.451205	−	0.892420i	$-0.649006\pi$
$601$	8.56335	−	7.18550i	0.349306	−	0.293103i	0.800511	+	0.599318i	$0.204561\pi$
$602$	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	0.941820	−	0.336119i	$-0.109114\pi$
$607$	−1.43293	−	8.12655i	−0.0581608	−	0.329846i	−0.999980	+	0.00627265i	$0.998003\pi$
$608$	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	−0.651007	−	0.759072i	$-0.725653\pi$
$613$	−24.8365	+	4.37934i	−1.00313	+	0.176880i	−0.352128	+	0.935952i	$0.614542\pi$
$614$	−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	−0.971470	−	0.237161i	$-0.923783\pi$
$617$	−1.85891	+	5.10733i	−0.0748371	+	0.205613i	0.896633	+	0.442774i	$0.146005\pi$
$618$	−1.24332	+	0.717831i	−0.0500136	+	0.0288754i
$619$	−0.0863495	+	0.149562i	−0.00347068	+	0.00601139i	−0.867756	−	0.496991i	$-0.834438\pi$
$619$	−0.0863495	+	0.149562i	−0.00347068	+	0.00601139i	0.864285	+	0.503003i	$0.167771\pi$
$620$	−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	−0.999520	−	0.0309822i	$-0.990136\pi$
$631$	−5.37382	+	14.7644i	−0.213928	+	0.587763i	0.785592	+	0.618745i	$0.212359\pi$
$632$	−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	0.837520	−	0.546407i	$-0.184005\pi$
$641$	28.5555	+	10.3933i	1.12787	+	0.410513i	0.290354	+	0.956919i	$0.406227\pi$
$642$	−0.862557	−	0.723772i	−0.0340424	−	0.0285650i
$643$	8.00273	−	13.8611i	0.315597	−	0.546630i	−0.663967	−	0.747762i	$-0.731129\pi$
$643$	8.00273	−	13.8611i	0.315597	−	0.546630i	0.979564	+	0.201132i	$0.0644620\pi$
$644$	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	−0.729347	−	0.684143i	$-0.760176\pi$
$647$	−21.5776	+	7.85359i	−0.848301	+	0.308756i	−0.118954	+	0.992900i	$0.537954\pi$
$648$	−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	0.847809	−	0.530302i	$-0.177921\pi$
$653$	12.0815	+	10.1376i	0.472784	+	0.396713i	−0.375025	+	0.927015i	$0.622366\pi$
$654$	−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	−0.910478	−	0.413558i	$-0.864286\pi$
$659$	2.22149	−	12.5987i	0.0865368	−	0.490775i	0.997014	−	0.0772162i	$-0.0246032\pi$
$660$	−2.94603	+	0.685777i	−0.114674	+	0.0266939i
$661$	−30.2384	−	5.33185i	−1.17614	−	0.207385i	−0.448780	−	0.893642i	$-0.648141\pi$
$661$	−30.2384	−	5.33185i	−1.17614	−	0.207385i	−0.727359	+	0.686258i	$0.759252\pi$
$662$	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	−0.0193762	−	0.999812i	$-0.506168\pi$
$673$	−9.84612	−	1.73614i	−0.379540	−	0.0669231i	−0.360164	+	0.932889i	$0.617279\pi$
$674$	−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	0.246637	−	0.969108i	$-0.420674\pi$
$677$	31.4632	−	18.1653i	1.20923	−	0.698148i	0.962591	+	0.270960i	$0.0873410\pi$
$678$	−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	0.266285	−	0.963894i	$-0.414204\pi$
$683$	32.9756	−	27.6698i	1.26178	−	1.05876i	0.995490	−	0.0948615i	$-0.0302408\pi$
$684$	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	0.124928	−	0.992166i	$-0.460130\pi$
$691$	−10.9649	−	3.99089i	−0.417124	−	0.151821i	−0.542052	+	0.840345i	$0.682352\pi$
$692$	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	−0.950883	−	0.309550i	$-0.899822\pi$
$701$	−0.621922	+	1.70872i	−0.0234897	+	0.0645374i	0.927394	+	0.374087i	$0.122044\pi$
$702$			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	$-0.926783\pi$
$709$		−	12.1416i		−	0.455988i	0.973663	−	0.227994i	$-0.0732167\pi$
$710$	−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	0.999923	+	0.0124324i	$0.00395747\pi$
$719$	1.73099	+	9.81691i	0.0645549	+	0.366109i	−0.935368	+	0.353676i	$0.884931\pi$
$720$	−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	0.639575	−	0.768729i	$-0.279110\pi$
$727$	−0.172933	−	0.145108i	−0.00641373	−	0.00538176i	−0.645989	+	0.763347i	$0.723555\pi$
$728$	−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	0.623370	−	0.781927i	$-0.285763\pi$
$733$	25.4959	+	4.49561i	0.941712	+	0.166049i	0.318342	+	0.947976i	$0.396874\pi$
$734$			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	−0.930552	−	0.366160i	$-0.880672\pi$
$743$	−12.3498	−	33.9309i	−0.453071	−	1.24480i	0.477481	−	0.878642i	$-0.341550\pi$
$744$	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	0.718084	−	0.695956i	$-0.245019\pi$
$751$	−6.67772	−	11.5662i	−0.243674	−	0.422055i	−0.961758	+	0.273901i	$0.911686\pi$
$752$	−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	−0.552397	−	0.833581i	$-0.686287\pi$
$757$	4.74878	−	3.98470i	0.172597	−	0.144826i	0.724994	+	0.688755i	$0.241842\pi$
$758$	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	−0.918777	−	0.394776i	$-0.870822\pi$
$761$	−5.25326	−	29.7927i	−0.190431	−	1.07999i	0.728347	−	0.685209i	$-0.240289\pi$
$762$	−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	−0.940959	−	0.338521i	$-0.890073\pi$
$769$	−31.0106	+	17.9040i	−1.11827	+	0.645634i	−0.177312	+	0.984155i	$0.556740\pi$
$770$	−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	−0.987973	−	0.154627i	$-0.950582\pi$
$773$	−18.4649	+	22.0056i	−0.664135	+	0.791485i	0.323838	+	0.946113i	$0.395027\pi$
$774$	−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	0.607353	−	0.794432i	$-0.292231\pi$
$787$	6.25681	+	3.61237i	0.223031	+	0.128767i	−0.384322	+	0.923199i	$0.625565\pi$
$788$	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	−0.730715	−	0.682683i	$-0.760813\pi$
$797$	−5.23096	+	4.38930i	−0.185290	+	0.155477i	0.545424	+	0.838160i	$0.316368\pi$
$798$	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	0.817660	−	0.575701i	$-0.195271\pi$
$809$	39.5103	+	6.96673i	1.38911	+	0.244937i	0.571448	+	0.820638i	$0.306382\pi$
$810$	8.37063	−	16.5022i	0.294114	−	0.579830i
$811$	−26.6442	+	9.69768i	−0.935603	+	0.340532i	−0.764428	−	0.644709i	$-0.776979\pi$
$811$	−26.6442	+	9.69768i	−0.935603	+	0.340532i	−0.171175	+	0.985241i	$0.554756\pi$
$812$	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	0.864071	+	0.503370i	$0.167907\pi$
$821$	−3.43988	+	19.5086i	−0.120053	+	0.680853i	−0.984124	+	0.177483i	$0.943204\pi$
$822$	−0.0432459	−	0.0749041i	−0.00150837	−	0.00261258i
$823$	−29.2782	−	34.8924i	−1.02057	−	1.21627i	−0.976113	−	0.217262i	$-0.930288\pi$
$823$	−29.2782	−	34.8924i	−1.02057	−	1.21627i	−0.0444606	−	0.999011i	$-0.514157\pi$
$824$	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	0.832813	−	0.553554i	$-0.186729\pi$
$827$	12.4315	+	10.4312i	0.432285	+	0.362730i	−0.400528	+	0.916284i	$0.631173\pi$
$828$	−9.33348	+	16.1661i	−0.324361	+	0.561809i
$829$	−31.2562	+	5.51132i	−1.08557	+	0.191416i	−0.687679	−	0.726015i	$-0.741370\pi$
$829$	−31.2562	+	5.51132i	−1.08557	+	0.191416i	−0.397895	+	0.917431i	$0.630259\pi$
$830$	−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	0.411960	−	0.911202i	$-0.364844\pi$
$839$	4.10819	+	1.49526i	0.141830	+	0.0516221i	−0.270130	+	0.962824i	$0.587067\pi$
$840$	−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	−0.286034	−	0.958220i	$-0.592337\pi$
$853$	−32.7424	−	11.9173i	−1.12108	−	0.408040i	−0.835046	+	0.550180i	$0.814559\pi$
$854$	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	0.189579	−	0.981866i	$-0.439288\pi$
$859$	33.2563	−	19.2005i	1.13469	−	0.655113i	0.945110	+	0.326753i	$0.105954\pi$
$860$	−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	0.656176	+	0.754608i	$0.272173\pi$
$863$	−9.73949	+	26.7590i	−0.331536	+	0.910888i	−0.987713	+	0.156281i	$0.950050\pi$
$864$	−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	0.256785	−	0.966469i	$-0.417337\pi$
$877$	36.1934	−	20.8963i	1.22216	−	0.705617i	0.965379	+	0.260852i	$0.0840034\pi$
$878$	−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	0.872779	+	0.488115i	$0.162315\pi$
$881$	−3.39291	+	19.2422i	−0.114310	+	0.648285i	−0.987089	+	0.160170i	$0.948796\pi$
$882$	−24.4989			−0.824920
$883$	−4.83293	+	27.4089i	−0.162641	+	0.922384i	0.788822	+	0.614622i	$0.210691\pi$
$883$	−4.83293	+	27.4089i	−0.162641	+	0.922384i	−0.951463	+	0.307762i	$0.900420\pi$
$884$	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	$0.346132\pi$
$887$			52.7404i			1.77085i	−0.464784	+	0.885424i	$0.653868\pi$
$888$	−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	−0.425842	−	0.904797i	$-0.640022\pi$
$907$	−5.13377	+	1.86854i	−0.170464	+	0.0620439i	0.255378	+	0.966841i	$0.417800\pi$
$908$	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	0.103334	−	0.994647i	$-0.467049\pi$
$911$	−21.3207	−	12.3095i	−0.706388	−	0.407833i	−0.809722	+	0.586813i	$0.800382\pi$
$912$	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	$-0.910169\pi$
$919$		−	16.8844i		−	0.556965i	0.960441	−	0.278483i	$-0.0898315\pi$
$920$	−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	0.599705	−	0.800221i	$-0.295285\pi$
$929$	−2.56703	−	2.15399i	−0.0842216	−	0.0706703i	−0.683926	+	0.729551i	$0.739729\pi$
$930$	−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	−0.675485	−	0.737374i	$-0.736066\pi$
$937$	9.67111	−	26.5712i	0.315942	−	0.868042i	0.991426	−	0.130668i	$-0.0417122\pi$
$938$	−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	0.761516	+	0.648146i	$0.224455\pi$
$941$	8.20895	+	46.5553i	0.267604	+	1.51766i	−0.493912	+	0.869512i	$0.664434\pi$
$942$	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	−0.970286	−	0.241962i	$-0.922209\pi$
$947$	−4.34740	−	24.6553i	−0.141271	−	0.801190i	0.829014	−	0.559227i	$-0.188902\pi$
$948$	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	−0.999908	−	0.0135835i	$-0.995676\pi$
$953$	−25.9207	−	30.8910i	−0.839653	−	1.00066i	0.160255	−	0.987076i	$-0.448768\pi$
$954$	−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	−0.988676	−	0.150065i	$-0.952052\pi$
$967$	−0.258081	+	1.46365i	−0.00829932	+	0.0470678i	0.980377	+	0.197132i	$0.0631629\pi$
$968$	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	−0.822341	−	0.568995i	$-0.807332\pi$
$971$	−12.6135	+	10.5840i	−0.404788	+	0.339657i	0.417553	+	0.908653i	$0.362888\pi$
$972$	−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	0.776125	+	0.630579i	$0.217183\pi$
$977$	8.20424	+	46.5285i	0.262477	+	1.48858i	−0.513648	+	0.858001i	$0.671706\pi$
$978$	−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	0.702414	−	0.711768i	$-0.252105\pi$
$983$	50.3497	−	8.87801i	1.60591	−	0.283165i	0.903493	+	0.428604i	$0.140994\pi$
$984$	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	−0.869473	−	0.493981i	$-0.835541\pi$
$991$	−27.5895	+	15.9288i	−0.876409	+	0.505995i	−0.00693604	+	0.999976i	$0.502208\pi$
$992$	−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	0.619447	−	0.785038i	$-0.287357\pi$
$997$	18.6092	+	6.77318i	0.589358	+	0.214509i	−0.0300889	+	0.999547i	$0.509579\pi$
$998$		−	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.169.5	✓	60
5.4	even	2		370.2.v.b.169.6	yes	60
37.30	even	18		370.2.v.b.289.6	yes	60
185.104	even	18	inner	370.2.v.a.289.5	yes	60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.v.a.169.5	✓	60	1.1	even	1	trivial
370.2.v.a.289.5	yes	60	185.104	even	18	inner
370.2.v.b.169.6	yes	60	5.4	even	2
370.2.v.b.289.6	yes	60	37.30	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)

\(f(q)\)	\(=\)	\(q+(-0.939693 - 0.342020i) q^{2} +(-0.0975036 - 0.267889i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-2.23279 + 0.121078i) q^{5} +0.285081i q^{6} +(-3.86387 - 0.681305i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(2.23588 - 1.87612i) q^{9} +O(q^{10})\)	\(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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