LMFDB - Embedded newform 370.2.v.b.289.6

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			289.6
Character	$\chi$	$=$	370.289
Dual form			370.2.v.b.169.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.939693 - 0.342020i) q^{2} +(0.0975036 - 0.267889i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.05672 + 0.877435i) q^{5} -0.285081i q^{6} +(3.86387 - 0.681305i) q^{7} +(0.500000 - 0.866025i) q^{8} +(2.23588 + 1.87612i) q^{9} +O(q^{10})$	\(q+(0.939693 - 0.342020i) q^{2} +(0.0975036 - 0.267889i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.05672 + 0.877435i) q^{5} -0.285081i q^{6} +(3.86387 - 0.681305i) q^{7} +(0.500000 - 0.866025i) q^{8} +(2.23588 + 1.87612i) q^{9} +(-1.63259 + 1.52796i) 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} +(0.0345171 + 0.636526i) 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} +(-1.01154 + 1.99419i) 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} +(3.46022 - 3.60928i) 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} +(0.250140 + 0.586333i) q^{30} +1.56908i q^{31} +(-0.173648 - 0.984808i) q^{32} +(-0.869518 - 1.03625i) q^{33} +(-1.02923 - 0.374610i) q^{34} +(-7.34911 + 4.79155i) q^{35} +2.91873 q^{36} +(1.98952 + 5.74820i) q^{37} -6.16611i q^{38} +(0.482117 + 1.32460i) q^{39} +(-0.268481 + 2.21989i) q^{40} +(-6.32885 + 5.31054i) q^{41} +(-0.194227 - 1.10152i) q^{42} -9.58454 q^{43} +(-0.823972 - 4.67298i) q^{44} +(-6.24475 - 1.89683i) 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} +(2.01709 - 4.57508i) 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} +(-1.27396 + 10.5335i) 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} +(0.435593 + 0.465420i) 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} +(5.00165 - 9.86048i) q^{65} +(-1.17150 - 0.676365i) q^{66} +(3.23941 - 0.571196i) q^{67} -1.09529 q^{68} +(1.79556 - 0.316606i) q^{69} +(-5.26710 + 7.01613i) 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} +(2.34341 + 0.711807i) 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} +(-6.51690 + 0.353394i) 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} +(0.746581 + 13.7676i) 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 + 6 q^{5} + 30 q^{8} - 6 q^{9}+O(q^{10}) $ 60 * q + 6 * q^5 + 30 * q^8 - 6 * q^9	$ 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9} - 9 q^{10} + 6 q^{11} + 3 q^{13} + 9 q^{14} - 6 q^{15} - 3 q^{17} - 12 q^{18} + 3 q^{19} + 3 q^{20} + 12 q^{21} + 3 q^{22} + 18 q^{23} - 18 q^{25} - 27 q^{26} + 18 q^{30} + 66 q^{33} + 21 q^{34} + 9 q^{35} - 72 q^{36} - 6 q^{37} + 12 q^{39} + 12 q^{40} - 57 q^{41} - 12 q^{42} - 60 q^{43} - 3 q^{44} + 9 q^{45} - 21 q^{46} + 18 q^{47} - 6 q^{49} + 6 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} - 15 q^{65} + 18 q^{67} + 24 q^{68} + 36 q^{69} - 12 q^{70} + 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} - 30 q^{85} - 18 q^{86} + 30 q^{87} - 6 q^{88} + 3 q^{89} + 57 q^{91} - 15 q^{92} - 60 q^{93} + 3 q^{94} + 6 q^{95} - 84 q^{97} + 6 q^{98} - 45 q^{99}+O(q^{100}) $ 60 * q + 6 * q^5 + 30 * q^8 - 6 * q^9 - 9 * q^10 + 6 * q^11 + 3 * q^13 + 9 * q^14 - 6 * q^15 - 3 * q^17 - 12 * q^18 + 3 * q^19 + 3 * q^20 + 12 * q^21 + 3 * q^22 + 18 * q^23 - 18 * q^25 - 27 * q^26 + 18 * q^30 + 66 * q^33 + 21 * q^34 + 9 * q^35 - 72 * q^36 - 6 * q^37 + 12 * q^39 + 12 * q^40 - 57 * q^41 - 12 * q^42 - 60 * q^43 - 3 * q^44 + 9 * q^45 - 21 * q^46 + 18 * q^47 - 6 * q^49 + 6 * 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 - 15 * q^65 + 18 * q^67 + 24 * q^68 + 36 * q^69 - 12 * q^70 + 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 - 30 * q^85 - 18 * q^86 + 30 * q^87 - 6 * q^88 + 3 * q^89 + 57 * q^91 - 15 * q^92 - 60 * q^93 + 3 * q^94 + 6 * 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	−0.908358	−	0.418193i	$-0.862664\pi$
$3$	0.0975036	−	0.267889i	0.0562937	−	0.154666i	0.964652	+	0.263527i	$0.0848858\pi$
$4$	0.766044	−	0.642788i	0.383022	−	0.321394i
$5$	−2.05672	+	0.877435i	−0.919794	+	0.392401i
$5$	−2.05672	+	0.877435i	−0.919794	+	0.392401i
$6$		−	0.285081i		−	0.116384i
$7$	3.86387	−	0.681305i	1.46041	−	0.257509i	0.613687	−	0.789549i	$-0.289686\pi$
$7$	3.86387	−	0.681305i	1.46041	−	0.257509i	0.846719	+	0.532040i	$0.178575\pi$
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	2.23588	+	1.87612i	0.745292	+	0.625374i
$10$	−1.63259	+	1.52796i	−0.516269	+	0.483183i
$11$	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	−0.993151	−	0.116842i	$-0.962723\pi$
$13$	−3.78779	+	3.17833i	−1.05054	+	0.881510i	−0.0573922	+	0.998352i	$0.518279\pi$
$14$	3.39783	−	1.96174i	0.908109	−	0.524297i
$15$	0.0345171	+	0.636526i	0.00891229	+	0.164350i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	−0.839038	−	0.704036i	−0.203497	−	0.170754i	0.535344	−	0.844634i	$-0.320182\pi$
$17$	−0.839038	−	0.704036i	−0.203497	−	0.170754i	−0.738841	+	0.673880i	$0.764626\pi$
$18$	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	$-0.138977\pi$
$20$	−1.01154	+	1.99419i	−0.226187	+	0.445914i
$21$	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	$0.0656634\pi$
$23$	3.19779	+	5.53873i	0.666785	+	1.15491i	−0.312013	+	0.950078i	$0.601003\pi$
$24$	−0.183247	−	0.218385i	−0.0374051	−	0.0445777i
$25$	3.46022	−	3.60928i	0.692043	−	0.721856i
$26$	−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	$0.830358\pi$
$30$	0.250140	+	0.586333i	0.0456692	+	0.107049i
$31$			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
$35$	−7.34911	+	4.79155i	−1.24223	+	0.809920i
$36$	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
$40$	−0.268481	+	2.21989i	−0.0424505	+	0.350996i
$41$	−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	$-0.760859\pi$
$43$	−9.58454			−1.46163			−0.730814	+	0.682576i	$0.760859\pi$
$44$	−0.823972	−	4.67298i	−0.124218	−	0.704478i
$45$	−6.24475	−	1.89683i	−0.930913	−	0.282763i
$46$	4.89930	+	4.11100i	0.722362	+	0.606134i
$47$	−7.68115	+	4.43471i	−1.12041	+	0.646869i	−0.941506	−	0.336997i	$-0.890589\pi$
$47$	−7.68115	+	4.43471i	−1.12041	+	0.646869i	−0.178905	+	0.983866i	$0.557255\pi$
$48$	−0.246888	−	0.142541i	−0.0356352	−	0.0205740i
$49$	7.88748	−	2.87081i	1.12678	−	0.410115i
$50$	2.01709	−	4.57508i	0.285260	−	0.647014i
$51$	−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	$-0.489937\pi$
$53$	−2.04234	−	0.360119i	−0.280537	−	0.0494662i	−0.312146	+	0.950034i	$0.601048\pi$
$54$	1.08459	−	1.29256i	0.147594	−	0.175895i
$55$	−1.27396	+	10.5335i	−0.171781	+	1.42034i
$56$	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	$0.718448\pi$
$60$	0.435593	+	0.465420i	0.0562348	+	0.0600855i
$61$	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
$65$	5.00165	−	9.86048i	0.620378	−	1.22304i
$66$	−1.17150	−	0.676365i	−0.144201	−	0.0832548i
$67$	3.23941	−	0.571196i	0.395757	−	0.0697827i	0.0277719	−	0.999614i	$-0.491159\pi$
$67$	3.23941	−	0.571196i	0.395757	−	0.0697827i	0.367985	+	0.929832i	$0.380048\pi$
$68$	−1.09529			−0.132823
$69$	1.79556	−	0.316606i	0.216160	−	0.0381149i
$70$	−5.26710	+	7.01613i	−0.629539	+	0.838588i
$71$	−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	$0.0374319\pi$
$73$			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	0.601016	−	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	−0.721854	−	0.692046i	$-0.756710\pi$
$83$	0.774635	−	0.923174i	0.0850272	−	0.101331i	0.806881	+	0.590714i	$0.201154\pi$
$84$	−0.559255	−	0.968659i	−0.0610198	−	0.105689i
$85$	2.34341	+	0.711807i	0.254179	+	0.0772063i
$86$	−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	$0.591599\pi$
$90$	−6.51690	+	0.353394i	−0.686942	+	0.0372510i
$91$	−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
$95$	0.746581	+	13.7676i	0.0765976	+	1.41253i
$96$	−0.280750	−	0.0495039i	−0.0286540	−	0.00505247i
$97$	−5.07438	−	8.78908i	−0.515225	−	0.892396i	−0.999844	−	0.0176707i	$-0.994375\pi$
$97$	−5.07438	−	8.78908i	−0.515225	−	0.892396i	0.484619	−	0.874726i	$-0.338958\pi$
$98$	6.42993	−	5.39535i	0.649521	−	0.545013i
$99$	13.0143	−	4.73683i	1.30799	−	0.476069i
$100$	0.330680	−	4.98905i	0.0330680	−	0.498905i
$101$	−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	−0.963000	−	0.269502i	$-0.913141\pi$
$103$	−2.51798	+	4.36128i	−0.248104	+	0.429729i	0.714895	+	0.699231i	$0.246474\pi$
$104$	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	$-0.161076\pi$
$107$	2.53882	+	3.02565i	0.245437	+	0.292501i	−0.629235	+	0.777215i	$0.716632\pi$
$108$	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	−0.506527	−	0.862224i	$-0.669071\pi$
$113$	−3.61766	+	1.31672i	−0.340321	+	0.123867i	0.166205	+	0.986091i	$0.446849\pi$
$114$	−1.65183	−	0.601218i	−0.154708	−	0.0563092i
$115$	−11.4368	−	8.58579i	−1.06649	−	0.800629i
$116$	−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
$120$	0.568506	+	0.288370i	0.0518973	+	0.0263245i
$121$	−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
$125$	−3.94980	+	10.4594i	−0.353281	+	0.935517i
$126$	11.2776	+	1.98854i	1.00469	+	0.177154i
$127$	20.7636	+	3.66119i	1.84247	+	0.324878i	0.982615	−	0.185655i	$-0.0594406\pi$
$127$	20.7636	+	3.66119i	1.84247	+	0.324878i	0.859858	+	0.510532i	$0.170552\pi$
$128$	−0.766044	−	0.642788i	−0.0677094	−	0.0568149i
$129$	−0.934527	+	2.56759i	−0.0822805	+	0.226064i
$130$	1.32753	−	10.9765i	0.116432	−	0.962701i
$131$	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
$135$	−2.26515	+	3.01734i	−0.194953	+	0.259691i
$136$	−1.02923	+	0.374610i	−0.0882559	+	0.0321225i
$137$	0.262746	+	0.151697i	0.0224479	+	0.0129603i	0.511182	−	0.859473i	$-0.329208\pi$
$137$	0.262746	+	0.151697i	0.0224479	+	0.0129603i	−0.488734	+	0.872433i	$0.662541\pi$
$138$	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	$0.760270\pi$
$140$	−2.54980	+	8.39446i	−0.215497	+	0.709461i
$141$	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
$145$	11.7604	+	1.42235i	0.976652	+	0.118119i
$146$	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	$0.281241\pi$
$150$	−1.02894	−	0.986444i	−0.0840125	−	0.0805428i
$151$	−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
$155$	−1.37676	−	3.22716i	−0.110584	−	0.259212i
$156$	1.22076	+	0.704807i	0.0977392	+	0.0564297i
$157$	7.35127	−	8.76090i	0.586695	−	0.699196i	−0.388272	−	0.921545i	$-0.626928\pi$
$157$	7.35127	−	8.76090i	0.586695	−	0.699196i	0.974967	+	0.222349i	$0.0713724\pi$
$158$	11.2485	−	6.49435i	0.894886	−	0.516663i
$159$	−0.295607	+	0.512007i	−0.0234432	+	0.0406048i
$160$	1.22125	+	1.87311i	0.0965483	+	0.148082i
$161$	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	$0.235216\pi$
$163$	−2.37185	+	13.4514i	−0.185778	+	1.05360i	−0.924952	+	0.380083i	$0.875895\pi$
$164$	−1.43463	+	8.13621i	−0.112026	+	0.635332i
$165$	2.69760	+	1.36834i	0.210008	+	0.106525i
$166$	0.412174	−	1.13244i	0.0319909	−	0.0878944i
$167$	−2.79834	−	1.01851i	−0.216542	−	0.0788149i	0.231471	−	0.972842i	$-0.425646\pi$
$167$	−2.79834	−	1.01851i	−0.216542	−	0.0788149i	−0.448013	+	0.894027i	$0.647868\pi$
$168$	−0.856829	−	0.718965i	−0.0661058	−	0.0554693i
$169$	1.98812	−	11.2752i	0.152932	−	0.867320i
$170$	2.44554	−	0.132615i	0.187564	−	0.0101711i
$171$	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	$-0.971669\pi$
$173$	−3.81653	−	10.4858i	−0.290166	−	0.797223i	0.705876	−	0.708335i	$-0.250554\pi$
$174$	−0.755146	+	1.30795i	−0.0572475	+	0.0991556i
$175$	10.9108	−	16.3033i	0.824780	−	1.23241i
$176$	−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	$0.915166\pi$
$180$	−6.00302	+	2.56099i	−0.447438	+	0.190885i
$181$	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
$185$	−9.13557	−	10.0768i	−0.671660	−	0.740859i
$186$	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
$190$	5.41036	+	12.6820i	0.392509	+	0.920048i
$191$		−	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	$0.462532\pi$
$193$	−11.1322	+	19.2816i	−0.801315	+	1.38792i	−0.918751	+	0.394837i	$0.870801\pi$
$194$	−7.77440	−	6.52350i	−0.558169	−	0.468360i
$195$	−2.15383	−	2.30132i	−0.154239	−	0.164801i
$196$	4.19684	−	7.26914i	0.299774	−	0.519224i
$197$	−5.19626	−	14.2766i	−0.370218	−	1.01717i	−0.975277	−	0.220986i	$-0.929073\pi$
$197$	−5.19626	−	14.2766i	−0.370218	−	1.01717i	0.605059	−	0.796181i	$-0.293150\pi$
$198$	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	$0.422135\pi$
$200$	−1.39562	−	4.80128i	−0.0986852	−	0.339501i
$201$	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
$205$	8.35704	−	16.4755i	0.583681	−	1.15070i
$206$	−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
$210$	1.36598	+	2.09510i	0.0942617	+	0.144575i
$211$	−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
$215$	19.7127	−	8.40981i	1.34440	−	0.573544i
$216$		−	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
$220$	5.79491	+	8.88804i	0.390693	+	0.599231i
$221$	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
$225$	14.5081	−	1.57811i	0.967204	−	0.105207i
$226$	−2.94915	+	2.47463i	−0.196174	+	0.164610i
$227$	−0.618230	−	3.50615i	−0.0410333	−	0.232712i	0.957393	−	0.288788i	$-0.0932522\pi$
$227$	−0.618230	−	3.50615i	−0.0410333	−	0.232712i	−0.998426	+	0.0560761i	$0.982141\pi$
$228$	−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	$0.566631\pi$
$230$	−13.6836	−	4.15637i	−0.902272	−	0.274063i
$231$	−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	$-0.245412\pi$
$233$	7.21015	+	4.16278i	0.472353	+	0.272713i	−0.244871	+	0.969556i	$0.578746\pi$
$234$	−13.5616	+	4.93602i	−0.886550	+	0.322678i
$235$	11.9068	−	15.8607i	0.776715	−	1.03464i
$236$	−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	$0.152213\pi$
$240$	0.632850	+	0.0765389i	0.0408503	+	0.00494056i
$241$	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
$245$	−13.7034	+	12.8252i	−0.875478	+	0.819372i
$246$	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
$250$	−0.134273	+	11.1795i	−0.00849216	+	0.707056i
$251$	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
$255$	0.419176	−	0.558371i	0.0262498	−	0.0349665i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	9.52557	−	3.46702i	0.594189	−	0.216267i	−0.0273821	−	0.999625i	$-0.508717\pi$
$257$	9.52557	−	3.46702i	0.594189	−	0.216267i	0.621571	+	0.783358i	$0.286495\pi$
$258$			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	$-0.942233\pi$
$263$	−16.0636	−	19.1439i	−0.990526	−	1.18046i	−0.00694849	−	0.999976i	$-0.502212\pi$
$264$	−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	$0.458471\pi$
$270$	−1.09656	+	3.61010i	−0.0667344	+	0.219703i
$271$	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
$275$	−6.62230	−	22.7824i	−0.399340	−	1.37383i
$276$	1.17197	−	1.39670i	0.0705442	−	0.0840714i
$277$	−24.7469	−	9.00715i	−1.48690	−	0.541187i	−0.534269	−	0.845315i	$-0.679413\pi$
$277$	−24.7469	−	9.00715i	−1.48690	−	0.541187i	−0.952631	+	0.304127i	$0.901635\pi$
$278$	−2.64221	−	0.961687i	−0.158469	−	0.0576781i
$279$	−2.94379	+	3.50827i	−0.176240	+	0.210034i
$280$	0.475048	+	8.76029i	0.0283895	+	0.523528i
$281$	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	$-0.423031\pi$
$283$	20.8128	−	17.4640i	1.23719	−	1.03813i	0.997738	−	0.0672212i	$-0.0214133\pi$
$284$	−13.2396	+	4.81882i	−0.785626	+	0.285944i
$285$	3.76099	+	1.14239i	0.222782	+	0.0676694i
$286$	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	$0.282988\pi$
$293$	−6.01964	+	16.5388i	−0.351671	+	0.966208i	−0.981833	+	0.189745i	$0.939234\pi$
$294$	−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
$300$	−1.30427	−	0.575036i	−0.0753020	−	0.0331997i
$301$	−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
$305$	−17.0076	−	8.62697i	−0.973852	−	0.493979i
$306$	−1.59842	−	2.76855i	−0.0913757	−	0.158267i
$307$	−12.6852	−	7.32379i	−0.723981	−	0.417991i	0.0922351	−	0.995737i	$-0.470599\pi$
$307$	−12.6852	−	7.32379i	−0.723981	−	0.417991i	−0.816216	+	0.577747i	$0.803932\pi$
$308$	−6.36744	−	17.4944i	−0.362819	−	0.996836i
$309$	0.922825	+	1.09978i	0.0524977	+	0.0625643i
$310$	−2.39749	−	2.56166i	−0.136168	−	0.145492i
$311$	−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	$0.138585\pi$
$313$	26.1751	+	21.9635i	1.47951	+	1.24145i	0.572795	+	0.819699i	$0.305859\pi$
$314$	3.91153	−	10.7468i	0.220740	−	0.606479i
$315$	−25.4212	−	3.07453i	−1.43232	−	0.173230i
$316$	8.34897	−	9.94992i	0.469667	−	0.559727i
$317$	12.5100	+	2.20585i	0.702631	+	0.123893i	0.513539	−	0.858067i	$-0.328334\pi$
$317$	12.5100	+	2.20585i	0.702631	+	0.123893i	0.189092	+	0.981959i	$0.439445\pi$
$318$	−0.102663	+	0.582233i	−0.00575708	+	0.0326500i
$319$	−21.7703	+	12.5691i	−1.21890	+	0.703735i
$320$	1.78824	+	1.34246i	0.0999658	+	0.0750456i
$321$	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
$325$	−1.63508	+	24.6689i	−0.0906980	+	1.36838i
$326$	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
$330$	3.00291	+	0.363182i	0.165305	+	0.0199925i
$331$	−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
$335$	−6.16139	+	4.01716i	−0.336632	+	0.219481i
$336$	−1.05106	−	0.382553i	−0.0573398	−	0.0208700i
$337$	−22.6970	−	27.0492i	−1.23638	−	1.47346i	−0.828075	−	0.560618i	$-0.810564\pi$
$337$	−22.6970	−	27.0492i	−1.23638	−	1.47346i	−0.408307	−	0.912845i	$-0.633881\pi$
$338$	−1.98812	−	11.2752i	−0.108139	−	0.613288i
$339$			1.09752i			0.0596090i
$340$	2.25270	−	0.961042i	0.122170	−	0.0521198i
$341$	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
$345$	−3.41517	+	2.22666i	−0.183867	+	0.119879i
$346$	−7.17273	−	8.54813i	−0.385609	−	0.459550i
$347$	9.73927	+	16.8689i	0.522831	+	0.905570i	0.999647	+	0.0265672i	$0.00845758\pi$
$347$	9.73927	+	16.8689i	0.522831	+	0.905570i	−0.476816	+	0.879003i	$0.658209\pi$
$348$	−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	$0.791056\pi$
$350$	4.67677	−	19.0518i	0.249984	−	1.01836i
$351$	−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	$-0.428841\pi$
$353$	−13.1539	−	11.0374i	−0.700109	−	0.587462i	−0.921805	+	0.387654i	$0.873285\pi$
$354$	−0.372411	+	2.11205i	−0.0197934	+	0.112254i
$355$	31.4584	−	1.70590i	1.66964	−	0.0905400i
$356$	−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	$0.896259\pi$
$360$	−4.76508	+	4.45970i	−0.251142	+	0.235047i
$361$	−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
$365$	−1.75912	−	4.12341i	−0.0920767	−	0.215829i
$366$	1.86251	−	1.56283i	0.0973551	−	0.0816906i
$367$	7.39625	−	20.3210i	0.386081	−	1.06075i	−0.582669	−	0.812710i	$-0.697991\pi$
$367$	7.39625	−	20.3210i	0.386081	−	1.06075i	0.968750	−	0.248040i	$-0.0797864\pi$
$368$	6.00988	−	2.18742i	0.313286	−	0.114027i
$369$	−24.1137			−1.25531
$370$	−12.0311	−	6.34452i	−0.625466	−	0.329836i
$371$	−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	$0.280345\pi$
$373$	−6.69756	+	18.4014i	−0.346787	+	0.952788i	−0.983375	+	0.181585i	$0.941877\pi$
$374$	−3.98129	+	3.34070i	−0.205867	+	0.172743i
$375$	2.41684	+	2.07794i	0.124805	+	0.107304i
$376$			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	$0.850865\pi$
$380$	9.42157	+	10.0667i	0.483316	+	0.516411i
$381$	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	$-0.716698\pi$
$383$	0.520356	−	0.436631i	0.0265890	−	0.0223108i	0.655985	+	0.754774i	$0.272253\pi$
$384$	−0.246888	+	0.142541i	−0.0125989	+	0.00727400i
$385$	2.25413	+	41.5681i	0.114881	+	2.11851i
$386$	−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	$0.0997941\pi$
$390$	−2.81104	−	1.42588i	−0.142342	−	0.0722021i
$391$	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
$395$	−24.3293	+	15.8625i	−1.22414	+	0.798127i
$396$	6.92478	−	11.9941i	0.347983	−	0.602725i
$397$	−13.5028	+	7.79582i	−0.677684	+	0.391261i	−0.798982	−	0.601355i	$-0.794628\pi$
$397$	−13.5028	+	7.79582i	−0.677684	+	0.391261i	0.121298	+	0.992616i	$0.461294\pi$
$398$	−4.99397	+	5.95158i	−0.250325	+	0.298326i
$399$	−5.97286	−	3.44843i	−0.299017	−	0.172637i
$400$	−2.95359	−	4.03439i	−0.147679	−	0.201720i
$401$		−	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
$405$	−10.1060	−	15.5003i	−0.502173	−	0.770216i
$406$	−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	$0.984934\pi$
$410$	2.21812	−	18.3401i	0.109545	−	0.905755i
$411$	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
$415$	−0.783184	+	2.57840i	−0.0384450	+	0.126569i
$416$	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	$0.244554\pi$
$420$	2.00017	+	1.50155i	0.0975982	+	0.0732682i
$421$	−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
$425$	−5.44432	+	0.592203i	−0.264088	+	0.0287261i
$426$	−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
$430$	15.6476	−	14.6448i	0.754594	−	0.706234i
$431$	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	0.626070	−	0.779767i	$-0.284663\pi$
$433$	5.48945	+	3.16933i	0.263806	+	0.152308i	−0.362263	+	0.932076i	$0.617996\pi$
$434$	3.07812	+	5.33147i	0.147755	+	0.255919i
$435$	1.52772	−	3.01181i	0.0732484	−	0.144405i
$436$	−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	$0.304097\pi$
$440$	8.48532	+	6.37004i	0.404522	+	0.303680i
$441$	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	0.00593601	−	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
$455$	12.6077	−	41.5073i	0.591060	−	1.94589i
$456$	−1.65183	+	0.601218i	−0.0773542	+	0.0281546i
$457$	15.4206	−	12.9394i	0.721346	−	0.605281i	−0.206411	−	0.978465i	$-0.566178\pi$
$457$	15.4206	−	12.9394i	0.721346	−	0.605281i	0.927757	+	0.373184i	$0.121734\pi$
$458$	14.0315	+	24.3032i	0.655648	+	1.13562i
$459$	−1.82002	−	0.320919i	−0.0849513	−	0.0149792i
$460$	−14.2800	+	0.774365i	−0.665807	+	0.0361049i
$461$	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	0.535285	−	0.844672i	$-0.320204\pi$
$463$	8.65845	+	3.15142i	0.402393	+	0.146459i	−0.132892	+	0.991130i	$0.542426\pi$
$464$	−3.40533	+	4.05832i	−0.158089	+	0.188403i
$465$	−0.998760	+	0.0541601i	−0.0463164	+	0.00251162i
$466$	8.19908	+	1.44572i	0.379815	+	0.0669716i
$467$	−2.35150	−	4.07292i	−0.108815	−	0.188472i	0.806476	−	0.591267i	$-0.201372\pi$
$467$	−2.35150	−	4.07292i	−0.108815	−	0.188472i	−0.915290	+	0.402795i	$0.868039\pi$
$468$	−11.0555	+	9.27668i	−0.511042	+	0.428815i
$469$	12.1275	−	4.41405i	0.559996	−	0.203822i
$470$	5.76408	−	18.9765i	0.265877	−	0.875322i
$471$	−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
$485$	18.1484	+	13.6243i	0.824078	+	0.618646i
$486$	7.30831	−	1.28865i	0.331512	−	0.0584545i
$487$	1.52334			0.0690291			0.0345146	−	0.999404i	$-0.489011\pi$
$487$	1.52334			0.0690291			0.0345146	+	0.999404i	$0.489011\pi$
$488$	8.39900	−	1.48097i	0.380205	−	0.0670404i
$489$	3.37222	+	1.94695i	0.152497	+	0.0880443i
$490$	−8.49051	+	16.7386i	−0.383562	+	0.756172i
$491$	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
$495$	−22.6106	+	21.1616i	−1.01627	+	0.951141i
$496$	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	$0.0991948\pi$
$500$	3.69745	+	10.5512i	0.165355	+	0.471866i
$501$	−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	$-0.692009\pi$
$503$	5.54967	−	31.4737i	0.247447	−	1.40334i	0.814740	−	0.579827i	$-0.196880\pi$
$504$	9.91735	−	5.72578i	0.441754	−	0.255047i
$505$	11.7544	+	8.82417i	0.523063	+	0.392670i
$506$	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	$0.917082\pi$
$510$	0.202923	−	0.668064i	0.00898557	−	0.0295824i
$511$	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
$515$	1.35206	−	11.1793i	0.0595789	−	0.492619i
$516$	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
$520$	−6.03860	−	9.26179i	−0.264810	−	0.406157i
$521$	−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	$-0.889504\pi$
$523$	−3.95789	−	22.4463i	−0.173067	−	0.981510i	0.767285	−	0.641306i	$-0.221607\pi$
$524$		−	7.97871i		−	0.348552i
$525$	−3.30362	−	4.51251i	−0.144182	−	0.196942i
$526$	−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
$530$	3.88454	−	2.53268i	0.168734	−	0.110013i
$531$	−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
$535$	−7.87647	−	3.99528i	−0.340529	−	0.172731i
$536$	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
$540$	0.204298	+	3.76743i	0.00879157	+	0.162124i
$541$	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
$545$	17.8177	+	19.0378i	0.763228	+	0.815491i
$546$	4.23668	+	3.55500i	0.181313	+	0.152140i
$547$	1.96370	−	3.40123i	0.0839617	−	0.145426i	−0.820987	−	0.570947i	$-0.806576\pi$
$547$	1.96370	−	3.40123i	0.0839617	−	0.145426i	0.904948	+	0.425522i	$0.139909\pi$
$548$	0.298784	−	0.0526837i	0.0127634	−	0.00225054i
$549$			24.8926i			1.06239i
$550$	−14.0150	−	19.1435i	−0.597600	−	0.816280i
$551$	−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
$555$	−3.59021	+	1.46480i	−0.152396	+	0.0621771i
$556$	−2.81178			−0.119246
$557$	11.8932	−	4.32876i	0.503929	−	0.183415i	−0.0775311	−	0.996990i	$-0.524704\pi$
$557$	11.8932	−	4.32876i	0.503929	−	0.183415i	0.581461	+	0.813575i	$0.302481\pi$
$558$	−1.56636	+	4.30353i	−0.0663091	+	0.182183i
$559$	36.3042	−	30.4628i	1.53550	−	1.28844i
$560$	3.44259	+	8.06951i	0.145476	+	0.340999i
$561$			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	$-0.871989\pi$
$563$	−2.87439	+	4.97858i	−0.121141	+	0.209822i	0.799077	+	0.601229i	$0.205322\pi$
$564$	1.93695	+	1.62529i	0.0815603	+	0.0684372i
$565$	6.28519	−	5.88240i	0.264420	−	0.247474i
$566$	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	$0.230354\pi$
$570$	3.92489	−	0.212836i	0.164396	−	0.00891474i
$571$	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
$575$	31.0559	+	7.62350i	1.29512	+	0.317922i
$576$	0.506832	−	2.87439i	0.0211180	−	0.119766i
$577$	3.50259	−	19.8642i	0.145815	−	0.826957i	−0.820895	−	0.571080i	$-0.806525\pi$
$577$	3.50259	−	19.8642i	0.145815	−	0.826957i	0.966709	−	0.255877i	$-0.0823642\pi$
$578$	−7.90017	−	13.6835i	−0.328604	−	0.569159i
$579$	4.07989	+	4.86222i	0.169554	+	0.202067i
$580$	9.92329	−	6.46989i	0.412042	−	0.268648i
$581$	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
$585$	29.6825	−	12.6631i	1.22722	−	0.523555i
$586$			17.6002i			0.727059i
$587$	3.44552	+	19.5405i	0.142212	+	0.806522i	0.969564	+	0.244839i	$0.0787350\pi$
$587$	3.44552	+	19.5405i	0.142212	+	0.806522i	−0.827352	+	0.561684i	$0.810154\pi$
$588$	−1.53811	−	1.83305i	−0.0634308	−	0.0755938i
$589$	9.09164	+	3.30908i	0.374614	+	0.136348i
$590$	14.0912	−	9.18730i	0.580124	−	0.378235i
$591$	−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
$595$	9.53961	+	1.15375i	0.391086	+	0.0472991i
$596$	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	$0.829558\pi$
$600$	−1.42229	−	0.0942707i	−0.0580646	−	0.00384859i
$601$	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
$605$	20.5927	+	15.4592i	0.837214	+	0.628508i
$606$	−1.62283	+	0.936941i	−0.0659229	+	0.0380606i
$607$	1.43293	−	8.12655i	0.0581608	−	0.329846i	−0.941820	−	0.336119i	$-0.890886\pi$
$607$	1.43293	−	8.12655i	0.0581608	−	0.329846i	0.999980	+	0.00627265i	$0.00199666\pi$
$608$	−6.07243	−	1.07073i	−0.246270	−	0.0434240i
$609$	−3.80890	+	4.53927i	−0.154344	+	0.183941i
$610$	−18.9325	−	2.28976i	−0.766555	−	0.0927096i
$611$	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	$-0.274347\pi$
$613$	24.8365	+	4.37934i	1.00313	+	0.176880i	0.352128	+	0.935952i	$0.385458\pi$
$614$	−14.4250	−	2.54353i	−0.582148	−	0.102648i
$615$	−3.59875	−	3.84518i	−0.145116	−	0.155052i
$616$	−11.9669	−	14.2616i	−0.482159	−	0.574615i
$617$	1.85891	+	5.10733i	0.0748371	+	0.205613i	0.971470	−	0.237161i	$-0.0762167\pi$
$617$	1.85891	+	5.10733i	0.0748371	+	0.205613i	−0.896633	+	0.442774i	$0.853995\pi$
$618$	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	$0.834438\pi$
$620$	−3.12904	−	1.58718i	−0.125665	−	0.0637428i
$621$	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
$625$	−1.05379	−	24.9778i	−0.0421518	−	0.999111i
$626$	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
$640$	2.13955	+	0.649882i	0.0845729	+	0.0256888i
$641$	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	0.663967	−	0.747762i	$-0.268871\pi$
$643$	−8.00273	−	13.8611i	−0.315597	−	0.546630i	−0.979564	+	0.201132i	$0.935538\pi$
$644$	24.7117	+	4.35734i	0.973777	+	0.171703i
$645$	−0.330831	−	6.10081i	−0.0130265	−	0.240219i
$646$	−4.34117	+	5.17360i	−0.170801	+	0.203553i
$647$	21.5776	+	7.85359i	0.848301	+	0.308756i	0.729347	−	0.684143i	$-0.239824\pi$
$647$	21.5776	+	7.85359i	0.848301	+	0.308756i	0.118954	+	0.992900i	$0.462046\pi$
$648$	7.77611	+	2.83027i	0.305474	+	0.111184i
$649$	−22.9452	+	27.3451i	−0.900680	+	1.07339i
$650$	6.90078	+	23.7404i	0.270671	+	0.931175i
$651$	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	$-0.822079\pi$
$653$	−12.0815	+	10.1376i	−0.472784	+	0.396713i	0.375025	+	0.927015i	$0.377634\pi$
$654$	−3.12389	+	1.13700i	−0.122154	+	0.0444603i
$655$	−5.18522	+	17.0708i	−0.202603	+	0.667012i
$656$	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
$670$	−4.41586	+	5.88222i	−0.170599	+	0.227250i
$671$	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	$-0.493832\pi$
$673$	9.84612	−	1.73614i	0.379540	−	0.0669231i	0.360164	+	0.932889i	$0.382721\pi$
$674$	−30.5795	−	17.6551i	−1.17788	−	0.680049i
$675$	2.01128	−	8.19335i	0.0774142	−	0.315362i
$676$	−5.72455	−	9.91521i	−0.220175	−	0.381354i
$677$	−31.4632	−	18.1653i	−1.20923	−	0.698148i	−0.246637	−	0.969108i	$-0.579326\pi$
$677$	−31.4632	−	18.1653i	−1.20923	−	0.698148i	−0.962591	+	0.270960i	$0.912659\pi$
$678$	0.375373	+	1.03133i	0.0144161	+	0.0396079i
$679$	−25.5948	−	30.5027i	−0.982238	−	1.17059i
$680$	1.78815	−	1.67355i	0.0685724	−	0.0641778i
$681$	−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	$-0.969759\pi$
$683$	−32.9756	−	27.6698i	−1.26178	−	1.05876i	−0.266285	−	0.963894i	$-0.585796\pi$
$684$	6.15541	−	16.9118i	0.235358	−	0.646640i
$685$	−0.673500	−	0.0814553i	−0.0257331	−	0.00311225i
$686$	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
$690$	−2.44765	+	3.26043i	−0.0931804	+	0.124122i
$691$	−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
$695$	6.01594	+	1.82733i	0.228198	+	0.0693145i
$696$	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
$700$	−2.12136	−	19.5024i	−0.0801799	−	0.737120i
$701$	−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
$705$	−3.08794	−	4.73618i	−0.116299	−	0.178375i
$706$	−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	$0.926783\pi$
$710$	28.9778	−	12.3624i	1.08752	−	0.463954i
$711$	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
$715$	−28.6535	−	43.9478i	−1.07158	−	1.64355i
$716$	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	$-0.00395747\pi$
$720$	−2.95240	+	5.82050i	−0.110030	+	0.216917i
$721$	−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
$725$	−25.4360	+	7.39365i	−0.944669	+	0.274593i
$726$	−2.84307	+	1.64145i	−0.105516	+	0.0609198i
$727$	0.172933	−	0.145108i	0.00641373	−	0.00538176i	−0.639575	−	0.768729i	$-0.720890\pi$
$727$	0.172933	−	0.145108i	0.00641373	−	0.00538176i	0.645989	+	0.763347i	$0.276445\pi$
$728$	6.63520	+	18.2301i	0.245917	+	0.675652i
$729$	−11.3549	+	19.6673i	−0.420553	+	0.728420i
$730$	−3.06333	−	3.27309i	−0.113379	−	0.121142i
$731$	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	$-0.714237\pi$
$733$	−25.4959	+	4.49561i	−0.941712	+	0.166049i	−0.318342	+	0.947976i	$0.603126\pi$
$734$		−	21.6252i		−	0.798201i
$735$	2.09960	+	4.92149i	0.0774448	+	0.181532i
$736$	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	$0.430360\pi$
$740$	−13.4755	−	1.84703i	−0.495368	−	0.0678980i
$741$	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	$-0.658450\pi$
$743$	12.3498	−	33.9309i	0.453071	−	1.24480i	0.930552	−	0.366160i	$-0.119328\pi$
$744$	0.342663	−	0.287529i	0.0125627	−	0.0105413i
$745$	−31.8547	+	13.5898i	−1.16706	+	0.497890i
$746$			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
$750$	2.98178	+	1.12601i	0.108879	+	0.0411162i
$751$	−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
$755$	8.69292	−	0.471394i	0.316368	−	0.0171558i
$756$	1.14958	−	6.51959i	0.0418098	−	0.237115i
$757$	−4.74878	−	3.98470i	−0.172597	−	0.144826i	0.552397	−	0.833581i	$-0.313713\pi$
$757$	−4.74878	−	3.98470i	−0.172597	−	0.144826i	−0.724994	+	0.688755i	$0.758158\pi$
$758$	−14.3875	−	5.23661i	−0.522577	−	0.190202i
$759$	2.95898	−	8.12974i	0.107404	−	0.295091i
$760$	12.2964	+	6.23725i	0.446037	+	0.226249i
$761$	−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
$765$	3.90415	+	5.98804i	0.141155	+	0.216498i
$766$	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	$0.890073\pi$
$770$	16.3353	+	38.2903i	0.588685	+	1.37989i
$771$		−	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	$-0.0494176\pi$
$773$	18.4649	+	22.0056i	0.664135	+	0.791485i	−0.323838	+	0.946113i	$0.604973\pi$
$774$	−26.2876	−	9.56790i	−0.944888	−	0.343911i
$775$	5.66325	+	5.42935i	0.203430	+	0.195028i
$776$	−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
$780$	−3.12919	−	0.378454i	−0.112043	−	0.0135508i
$781$	−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
$785$	−7.43240	+	24.4690i	−0.265274	+	0.873336i
$786$	−1.74243	−	1.46207i	−0.0621505	−	0.0521504i
$787$	−6.25681	+	3.61237i	−0.223031	+	0.128767i	−0.607353	−	0.794432i	$-0.707769\pi$
$787$	−6.25681	+	3.61237i	−0.223031	+	0.128767i	0.384322	+	0.923199i	$0.374435\pi$
$788$	−13.1574	−	7.59643i	−0.468713	−	0.270612i
$789$	−6.69470	+	2.43667i	−0.238338	+	0.0867478i
$790$	−17.4368	+	23.2269i	−0.620372	+	0.826377i
$791$	−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
$795$	0.158730	−	1.31243i	0.00562957	−	0.0465472i
$796$	−2.65724	+	7.30070i	−0.0941833	+	0.258766i
$797$	5.23096	+	4.38930i	0.185290	+	0.155477i	0.730715	−	0.682683i	$-0.239187\pi$
$797$	5.23096	+	4.38930i	0.185290	+	0.155477i	−0.545424	+	0.838160i	$0.683632\pi$
$798$	−6.79208	−	1.19763i	−0.240437	−	0.0423955i
$799$	9.56697	+	1.68692i	0.338455	+	0.0596788i
$800$	−4.15531	−	2.78090i	−0.146912	−	0.0983198i
$801$	−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
$805$	−50.0400	−	25.3824i	−1.76368	−	0.894612i
$806$	−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	$0.195271\pi$
$810$	−14.7980	−	11.1090i	−0.519948	−	0.390332i
$811$	−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	$-0.485843\pi$
$823$	29.2782	−	34.8924i	1.02057	−	1.21627i	0.976113	−	0.217262i	$-0.0697125\pi$
$824$	2.51798	+	4.36128i	0.0877182	+	0.151932i
$825$	−6.74884	−	0.447321i	−0.234964	−	0.0155737i
$826$	−27.7358	+	10.0950i	−0.965050	+	0.351250i
$827$	−12.4315	+	10.4312i	−0.432285	+	0.362730i	−0.832813	−	0.553554i	$-0.813271\pi$
$827$	−12.4315	+	10.4312i	−0.432285	+	0.362730i	0.400528	+	0.916284i	$0.368827\pi$
$828$	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	$0.741370\pi$
$830$	0.145913	+	2.69077i	0.00506473	+	0.0933980i
$831$	−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
$835$	6.64909	−	0.360563i	0.230101	−	0.0124778i
$836$	−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	$0.364844\pi$
$840$	2.39310	+	0.726900i	0.0825699	+	0.0250804i
$841$	−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	$-0.407663\pi$
$853$	32.7424	−	11.9173i	1.12108	−	0.408040i	0.835046	+	0.550180i	$0.185441\pi$
$854$	31.4437	+	11.4446i	1.07598	+	0.391625i
$855$	−24.1605	+	32.1834i	−0.826271	+	1.10065i
$856$	3.88970	−	0.685860i	0.132947	−	0.0234422i
$857$	22.4670			0.767457			0.383729	−	0.923446i	$-0.374640\pi$
$857$	22.4670			0.767457			0.383729	+	0.923446i	$0.374640\pi$
$858$	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	$0.439288\pi$
$860$	9.69512	−	19.1134i	0.330601	−	0.651761i
$861$	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	$0.0499505\pi$
$863$	9.73949	+	26.7590i	0.331536	+	0.910888i	−0.656176	+	0.754608i	$0.727827\pi$
$864$	−1.08459	−	1.29256i	−0.0368984	−	0.0439738i
$865$	17.0502	+	18.2177i	0.579724	+	0.619420i
$866$	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
$870$	0.405484	−	3.35269i	0.0137472	−	0.113667i
$871$	−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
$875$	−8.13548	+	43.1048i	−0.275029	+	1.45721i
$876$	0.537076	−	0.195480i	0.0181461	−	0.00660465i
$877$	−36.1934	−	20.8963i	−1.22216	−	0.705617i	−0.256785	−	0.966469i	$-0.582663\pi$
$877$	−36.1934	−	20.8963i	−1.22216	−	0.705617i	−0.965379	+	0.260852i	$0.915997\pi$
$878$	15.4876	−	8.94177i	0.522681	−	0.301770i
$879$	3.84363	+	3.22519i	0.129642	+	0.108783i
$880$	10.1523	+	3.08373i	0.342233	+	0.103953i
$881$	−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	$0.0995801\pi$
$883$	4.83293	+	27.4089i	0.162641	+	0.922384i	−0.788822	+	0.614622i	$0.789309\pi$
$884$	4.14871	−	3.48118i	0.139536	−	0.117085i
$885$	0.575791	−	4.76084i	0.0193550	−	0.160034i
$886$	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
$890$	3.99334	−	2.60362i	0.133857	−	0.0872734i
$891$	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
$895$	−6.18351	−	14.4943i	−0.206692	−	0.484490i
$896$	−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
$900$	10.0994	−	10.5345i	0.336648	−	0.351150i
$901$	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
$905$	−6.24464	+	12.3110i	−0.207579	+	0.409231i
$906$	−0.379611	+	1.04297i	−0.0126117	+	0.0346505i
$907$	5.13377	+	1.86854i	0.170464	+	0.0620439i	0.425842	−	0.904797i	$-0.359978\pi$
$907$	5.13377	+	1.86854i	0.170464	+	0.0620439i	−0.255378	+	0.966841i	$0.582200\pi$
$908$	−2.72730	−	2.28848i	−0.0905087	−	0.0759459i
$909$	3.33148	−	18.8938i	0.110498	−	0.626667i
$910$	−2.34892	−	43.3162i	−0.0778660	−	1.43592i
$911$	−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
$915$	−3.96937	+	3.71498i	−0.131223	+	0.122814i
$916$	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	$0.910169\pi$
$920$	−13.1539	+	5.61170i	−0.433672	+	0.185012i
$921$	−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
$925$	27.6310	+	12.7093i	0.908503	+	0.417878i
$926$	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	$0.295285\pi$
$930$	−0.920004	+	0.392490i	−0.0301681	+	0.0128703i
$931$		−	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
$935$	8.48488	−	7.94111i	0.277485	−	0.259702i
$936$	−7.21598	+	12.4984i	−0.235862	+	0.408524i
$937$	−9.67111	−	26.5712i	−0.315942	−	0.868042i	−0.991426	−	0.130668i	$-0.958288\pi$
$937$	−9.67111	−	26.5712i	−0.315942	−	0.868042i	0.675485	−	0.737374i	$-0.263934\pi$
$938$	9.88644	−	8.29571i	0.322804	−	0.270864i
$939$	8.43595	−	4.87050i	0.275297	−	0.158943i
$940$	−1.07389	−	19.8035i	−0.0350266	−	0.645920i
$941$	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
$945$	−6.69654	+	13.2019i	−0.217838	+	0.429456i
$946$	−7.89739	+	44.7883i	−0.256766	+	1.45619i
$947$	4.34740	−	24.6553i	0.141271	−	0.801190i	−0.829014	−	0.559227i	$-0.811098\pi$
$947$	4.34740	−	24.6553i	0.141271	−	0.801190i	0.970286	−	0.241962i	$-0.0777910\pi$
$948$	−1.85142	−	3.20675i	−0.0601313	−	0.104150i
$949$	−6.37207	−	7.59393i	−0.206846	−	0.246509i
$950$	−22.2552	−	21.3361i	−0.722055	−	0.692234i
$951$	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	$-0.551232\pi$
$953$	25.9207	−	30.8910i	0.839653	−	1.00066i	0.999908	−	0.0135835i	$-0.00432388\pi$
$954$	−5.24205	−	3.02650i	−0.169717	−	0.0979864i
$955$	10.3517	+	24.2645i	0.334972	+	0.785181i
$956$		−	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
$960$	0.533989	−	0.348156i	0.0172344	−	0.0112367i
$961$	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
$965$	5.97757	−	49.4246i	0.192425	−	1.59104i
$966$	5.47991	−	4.59819i	0.176313	−	0.147944i
$967$	0.258081	+	1.46365i	0.00829932	+	0.0470678i	0.988676	−	0.150065i	$-0.0479482\pi$
$967$	0.258081	+	1.46365i	0.00829932	+	0.0470678i	−0.980377	+	0.197132i	$0.936837\pi$
$968$	−11.5156			−0.370127
$969$	0.334332	+	1.89609i	0.0107403	+	0.0609112i
$970$	21.7137	+	6.59550i	0.697186	+	0.211769i
$971$	−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
$975$	6.44910	+	2.84333i	0.206536	+	0.0910593i
$976$	7.38596	−	4.26429i	0.236419	−	0.136496i
$977$	−8.20424	+	46.5285i	−0.262477	+	1.48858i	0.513648	+	0.858001i	$0.328294\pi$
$977$	−8.20424	+	46.5285i	−0.262477	+	1.48858i	−0.776125	+	0.630579i	$0.782817\pi$
$978$	3.83475	+	0.676170i	0.122622	+	0.0216215i
$979$	−6.50252	+	7.74940i	−0.207822	+	0.247672i
$980$	−2.25354	+	18.6330i	−0.0719867	+	0.595211i
$981$	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	$-0.747895\pi$
$983$	−50.3497	−	8.87801i	−1.60591	−	0.283165i	−0.903493	+	0.428604i	$0.859006\pi$
$984$	2.31948	+	0.408988i	0.0739424	+	0.0130380i
$985$	23.2141	+	24.8037i	0.739662	+	0.790310i
$986$	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
$990$	−14.0093	+	27.6186i	−0.445246	+	0.877778i
$991$	−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
$995$	10.4299	−	13.8933i	0.330649	−	0.440447i
$996$	−0.322838	−	0.117503i	−0.0102295	−	0.00372323i
$997$	−18.6092	+	6.77318i	−0.589358	+	0.214509i	−0.619447	−	0.785038i	$-0.712643\pi$
$997$	−18.6092	+	6.77318i	−0.589358	+	0.214509i	0.0300889	+	0.999547i	$0.490421\pi$
$998$		−	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.b.289.6	yes	60
5.4	even	2		370.2.v.a.289.5	yes	60
37.21	even	18		370.2.v.a.169.5	✓	60
185.169	even	18	inner	370.2.v.b.169.6	yes	60

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

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)

\(f(q)\)	\(=\)	\(q+(0.939693 - 0.342020i) q^{2} +(0.0975036 - 0.267889i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.05672 + 0.877435i) q^{5} -0.285081i q^{6} +(3.86387 - 0.681305i) q^{7} +(0.500000 - 0.866025i) q^{8} +(2.23588 + 1.87612i) q^{9} +O(q^{10})\)	\(q+(0.939693 - 0.342020i) q^{2} +(0.0975036 - 0.267889i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.05672 + 0.877435i) q^{5} -0.285081i q^{6} +(3.86387 - 0.681305i) q^{7} +(0.500000 - 0.866025i) q^{8} +(2.23588 + 1.87612i) q^{9} +(-1.63259 + 1.52796i) 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} +(0.0345171 + 0.636526i) 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} +(-1.01154 + 1.99419i) 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} +(3.46022 - 3.60928i) 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} +(0.250140 + 0.586333i) q^{30} +1.56908i q^{31} +(-0.173648 - 0.984808i) q^{32} +(-0.869518 - 1.03625i) q^{33} +(-1.02923 - 0.374610i) q^{34} +(-7.34911 + 4.79155i) q^{35} +2.91873 q^{36} +(1.98952 + 5.74820i) q^{37} -6.16611i q^{38} +(0.482117 + 1.32460i) q^{39} +(-0.268481 + 2.21989i) q^{40} +(-6.32885 + 5.31054i) q^{41} +(-0.194227 - 1.10152i) q^{42} -9.58454 q^{43} +(-0.823972 - 4.67298i) q^{44} +(-6.24475 - 1.89683i) 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} +(2.01709 - 4.57508i) 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} +(-1.27396 + 10.5335i) 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} +(0.435593 + 0.465420i) 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} +(5.00165 - 9.86048i) q^{65} +(-1.17150 - 0.676365i) q^{66} +(3.23941 - 0.571196i) q^{67} -1.09529 q^{68} +(1.79556 - 0.316606i) q^{69} +(-5.26710 + 7.01613i) 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} +(2.34341 + 0.711807i) 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} +(-6.51690 + 0.353394i) 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} +(0.746581 + 13.7676i) 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})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9}+O(q^{10}) \) 60 * q + 6 * q^5 + 30 * q^8 - 6 * q^9	\( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9} - 9 q^{10} + 6 q^{11} + 3 q^{13} + 9 q^{14} - 6 q^{15} - 3 q^{17} - 12 q^{18} + 3 q^{19} + 3 q^{20} + 12 q^{21} + 3 q^{22} + 18 q^{23} - 18 q^{25} - 27 q^{26} + 18 q^{30} + 66 q^{33} + 21 q^{34} + 9 q^{35} - 72 q^{36} - 6 q^{37} + 12 q^{39} + 12 q^{40} - 57 q^{41} - 12 q^{42} - 60 q^{43} - 3 q^{44} + 9 q^{45} - 21 q^{46} + 18 q^{47} - 6 q^{49} + 6 q^{50} + 3 q^{52} + 6 q^{53} + 3 q^{55} - 30 q^{57} - 15 q^{58} - 12 q^{59} - 9 q^{60} + 42 q^{61} + 12 q^{62} + 9 q^{63} - 30 q^{64} - 15 q^{65} + 18 q^{67} + 24 q^{68} + 36 q^{69} - 12 q^{70} + 18 q^{71} - 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} - 21 q^{77} - 6 q^{78} - 24 q^{79} - 36 q^{81} - 27 q^{82} - 30 q^{83} + 12 q^{84} - 30 q^{85} - 18 q^{86} + 30 q^{87} - 6 q^{88} + 3 q^{89} + 57 q^{91} - 15 q^{92} - 60 q^{93} + 3 q^{94} + 6 q^{95} - 84 q^{97} + 6 q^{98} - 45 q^{99}+O(q^{100}) \) 60 * q + 6 * q^5 + 30 * q^8 - 6 * q^9 - 9 * q^10 + 6 * q^11 + 3 * q^13 + 9 * q^14 - 6 * q^15 - 3 * q^17 - 12 * q^18 + 3 * q^19 + 3 * q^20 + 12 * q^21 + 3 * q^22 + 18 * q^23 - 18 * q^25 - 27 * q^26 + 18 * q^30 + 66 * q^33 + 21 * q^34 + 9 * q^35 - 72 * q^36 - 6 * q^37 + 12 * q^39 + 12 * q^40 - 57 * q^41 - 12 * q^42 - 60 * q^43 - 3 * q^44 + 9 * q^45 - 21 * q^46 + 18 * q^47 - 6 * q^49 + 6 * 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 - 15 * q^65 + 18 * q^67 + 24 * q^68 + 36 * q^69 - 12 * q^70 + 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 - 30 * q^85 - 18 * q^86 + 30 * q^87 - 6 * q^88 + 3 * q^89 + 57 * q^91 - 15 * q^92 - 60 * q^93 + 3 * q^94 + 6 * q^95 - 84 * q^97 + 6 * q^98 - 45 * q^99

Introduction

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