LMFDB - Embedded newform 618.2.i.b.229.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [618,2,Mod(13,618)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(618, base_ring=CyclotomicField(34))

chi = DirichletCharacter(H, H._module([0, 24]))

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

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

chi := DirichletCharacter("618.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 618 = 2 \cdot 3 \cdot 103 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	618.i (of order $17$, degree $16$, 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:	$4.93475484492$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$2$ over $\Q(\zeta_{17})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{17}]$

Embedding invariants

Embedding label			229.2
Character	$\chi$	$=$	618.229
Dual form			618.2.i.b.421.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.445738 + 0.895163i) q^{2} +(-0.850217 - 0.526432i) q^{3} +(-0.602635 + 0.798017i) q^{4} +(1.70386 + 1.55327i) q^{5} +(0.0922684 - 0.995734i) q^{6} +(1.04152 - 0.194694i) q^{7} +(-0.982973 - 0.183750i) q^{8} +(0.445738 + 0.895163i) q^{9} +O(q^{10})$	\(q+(0.445738 + 0.895163i) q^{2} +(-0.850217 - 0.526432i) q^{3} +(-0.602635 + 0.798017i) q^{4} +(1.70386 + 1.55327i) q^{5} +(0.0922684 - 0.995734i) q^{6} +(1.04152 - 0.194694i) q^{7} +(-0.982973 - 0.183750i) q^{8} +(0.445738 + 0.895163i) q^{9} +(-0.630958 + 2.21759i) q^{10} +(1.73473 + 3.48381i) q^{11} +(0.932472 - 0.361242i) q^{12} +(-2.49810 + 0.466977i) q^{13} +(0.638529 + 0.845549i) q^{14} +(-0.630958 - 2.21759i) q^{15} +(-0.273663 - 0.961826i) q^{16} +(-0.256618 - 2.76934i) q^{17} +(-0.602635 + 0.798017i) q^{18} +(4.10624 - 2.54247i) q^{19} +(-2.26635 + 0.423653i) q^{20} +(-0.988012 - 0.382758i) q^{21} +(-2.34535 + 3.10574i) q^{22} +(-3.61838 + 7.26669i) q^{23} +(0.739009 + 0.673696i) q^{24} +(0.0291389 + 0.314459i) q^{25} +(-1.53152 - 2.02806i) q^{26} +(0.0922684 - 0.995734i) q^{27} +(-0.472287 + 0.948481i) q^{28} +(5.75382 + 5.24530i) q^{29} +(1.70386 - 1.55327i) q^{30} +(2.73092 + 9.59820i) q^{31} +(0.739009 - 0.673696i) q^{32} +(0.359092 - 3.87522i) q^{33} +(2.36463 - 1.46412i) q^{34} +(2.07702 + 1.28604i) q^{35} +(-0.982973 - 0.183750i) q^{36} +(-9.39039 + 3.63786i) q^{37} +(4.10624 + 2.54247i) q^{38} +(2.36976 + 0.918051i) q^{39} +(-1.38944 - 1.83991i) q^{40} +(5.31132 - 4.84191i) q^{41} +(-0.0977640 - 1.05504i) q^{42} +(2.92138 + 1.13175i) q^{43} +(-3.82555 - 0.715120i) q^{44} +(-0.630958 + 2.21759i) q^{45} -8.11773 q^{46} -7.17982 q^{47} +(-0.273663 + 0.961826i) q^{48} +(-5.48045 + 2.12314i) q^{49} +(-0.268504 + 0.166251i) q^{50} +(-1.23969 + 2.48964i) q^{51} +(1.13279 - 2.27495i) q^{52} +(4.31525 - 2.67189i) q^{53} +(0.932472 - 0.361242i) q^{54} +(-2.45558 + 8.63045i) q^{55} -1.05956 q^{56} -4.82963 q^{57} +(-2.13070 + 7.48864i) q^{58} +(3.59404 + 0.671843i) q^{59} +(2.14991 + 0.832880i) q^{60} +(-0.992221 - 10.7078i) q^{61} +(-7.37468 + 6.72291i) q^{62} +(0.638529 + 0.845549i) q^{63} +(0.932472 + 0.361242i) q^{64} +(-4.98177 - 3.08458i) q^{65} +(3.62901 - 1.40589i) q^{66} +(-9.02235 - 1.68657i) q^{67} +(2.36463 + 1.46412i) q^{68} +(6.90183 - 4.27343i) q^{69} +(-0.225405 + 2.43251i) q^{70} +(4.38253 - 3.99520i) q^{71} +(-0.273663 - 0.961826i) q^{72} +(10.3639 - 9.44793i) q^{73} +(-7.44214 - 6.78440i) q^{74} +(0.140767 - 0.282698i) q^{75} +(-0.445622 + 4.80903i) q^{76} +(2.48504 + 3.29072i) q^{77} +(0.234489 + 2.53053i) q^{78} +(2.84044 + 2.58940i) q^{79} +(1.02770 - 2.06389i) q^{80} +(-0.602635 + 0.798017i) q^{81} +(6.70176 + 2.59628i) q^{82} +(14.7725 - 2.76146i) q^{83} +(0.900858 - 0.557787i) q^{84} +(3.86431 - 5.11718i) q^{85} +(0.289071 + 3.11958i) q^{86} +(-2.13070 - 7.48864i) q^{87} +(-1.06505 - 3.74325i) q^{88} +(0.852278 + 1.12860i) q^{89} +(-2.26635 + 0.423653i) q^{90} +(-2.51091 + 0.972731i) q^{91} +(-3.61838 - 7.26669i) q^{92} +(2.73092 - 9.59820i) q^{93} +(-3.20032 - 6.42711i) q^{94} +(10.9456 + 2.04609i) q^{95} +(-0.982973 + 0.183750i) q^{96} +(-0.798649 + 8.61880i) q^{97} +(-4.34340 - 3.95953i) q^{98} +(-2.34535 + 3.10574i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q - 2 q^{2} - 2 q^{3} - 2 q^{4} + q^{5} - 2 q^{6} + 6 q^{7} - 2 q^{8} - 2 q^{9}+O(q^{10}) $ 32 * q - 2 * q^2 - 2 * q^3 - 2 * q^4 + q^5 - 2 * q^6 + 6 * q^7 - 2 * q^8 - 2 * q^9	\( 32 q - 2 q^{2} - 2 q^{3} - 2 q^{4} + q^{5} - 2 q^{6} + 6 q^{7} - 2 q^{8} - 2 q^{9} + q^{10} + 5 q^{11} - 2 q^{12} - 14 q^{13} + 6 q^{14} + q^{15} - 2 q^{16} + 32 q^{17} - 2 q^{18} - 3 q^{19} + q^{20} - 11 q^{21} - 12 q^{22} - 15 q^{23} - 2 q^{24} - 15 q^{25} - 31 q^{26} - 2 q^{27} + 6 q^{28} + 7 q^{29} + q^{30} + 6 q^{31} - 2 q^{32} + 5 q^{33} - 2 q^{34} + 41 q^{35} - 2 q^{36} - 13 q^{37} - 3 q^{38} - 14 q^{39} - 16 q^{40} - 5 q^{41} - 11 q^{42} - 3 q^{43} - 12 q^{44} + q^{45} - 66 q^{46} - 14 q^{47} - 2 q^{48} - 6 q^{49} - 15 q^{50} - 2 q^{51} + 20 q^{52} - 6 q^{53} - 2 q^{54} + 11 q^{55} + 6 q^{56} + 14 q^{57} + 24 q^{58} - 43 q^{59} + 18 q^{60} + 48 q^{61} + 6 q^{62} + 6 q^{63} - 2 q^{64} - 84 q^{65} + 5 q^{66} + 7 q^{67} - 2 q^{68} + 19 q^{69} - 10 q^{70} - 59 q^{71} - 2 q^{72} - 9 q^{73} + 21 q^{74} + 19 q^{75} - 3 q^{76} - 33 q^{77} + 20 q^{78} + 33 q^{79} + q^{80} - 2 q^{81} + 46 q^{82} + 71 q^{83} - 11 q^{84} + 42 q^{85} - 20 q^{86} + 24 q^{87} - 12 q^{88} - q^{89} + q^{90} + 50 q^{91} - 15 q^{92} + 6 q^{93} + 20 q^{94} - 5 q^{95} - 2 q^{96} - 61 q^{97} - 57 q^{98} - 12 q^{99}+O(q^{100}) \) 32 * q - 2 * q^2 - 2 * q^3 - 2 * q^4 + q^5 - 2 * q^6 + 6 * q^7 - 2 * q^8 - 2 * q^9 + q^10 + 5 * q^11 - 2 * q^12 - 14 * q^13 + 6 * q^14 + q^15 - 2 * q^16 + 32 * q^17 - 2 * q^18 - 3 * q^19 + q^20 - 11 * q^21 - 12 * q^22 - 15 * q^23 - 2 * q^24 - 15 * q^25 - 31 * q^26 - 2 * q^27 + 6 * q^28 + 7 * q^29 + q^30 + 6 * q^31 - 2 * q^32 + 5 * q^33 - 2 * q^34 + 41 * q^35 - 2 * q^36 - 13 * q^37 - 3 * q^38 - 14 * q^39 - 16 * q^40 - 5 * q^41 - 11 * q^42 - 3 * q^43 - 12 * q^44 + q^45 - 66 * q^46 - 14 * q^47 - 2 * q^48 - 6 * q^49 - 15 * q^50 - 2 * q^51 + 20 * q^52 - 6 * q^53 - 2 * q^54 + 11 * q^55 + 6 * q^56 + 14 * q^57 + 24 * q^58 - 43 * q^59 + 18 * q^60 + 48 * q^61 + 6 * q^62 + 6 * q^63 - 2 * q^64 - 84 * q^65 + 5 * q^66 + 7 * q^67 - 2 * q^68 + 19 * q^69 - 10 * q^70 - 59 * q^71 - 2 * q^72 - 9 * q^73 + 21 * q^74 + 19 * q^75 - 3 * q^76 - 33 * q^77 + 20 * q^78 + 33 * q^79 + q^80 - 2 * q^81 + 46 * q^82 + 71 * q^83 - 11 * q^84 + 42 * q^85 - 20 * q^86 + 24 * q^87 - 12 * q^88 - q^89 + q^90 + 50 * q^91 - 15 * q^92 + 6 * q^93 + 20 * q^94 - 5 * q^95 - 2 * q^96 - 61 * q^97 - 57 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/618\mathbb{Z}\right)^\times$.

$n$	$211$	$413$
$\chi(n)$	$e\left(\frac{4}{17}\right)$	$1$

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 $

$2$	0.445738	+	0.895163i	0.315185	+	0.632976i
$2$	0.445738	+	0.895163i	0.315185	+	0.632976i
$3$	−0.850217	−	0.526432i	−0.490873	−	0.303936i
$3$	−0.850217	−	0.526432i	−0.490873	−	0.303936i
$4$	−0.602635	+	0.798017i	−0.301317	+	0.399009i
$5$	1.70386	+	1.55327i	0.761990	+	0.694646i	0.958258	−	0.285905i	$-0.0922941\pi$
$5$	1.70386	+	1.55327i	0.761990	+	0.694646i	−0.196268	+	0.980550i	$0.562882\pi$
$6$	0.0922684	−	0.995734i	0.0376684	−	0.406507i
$7$	1.04152	−	0.194694i	0.393658	−	0.0735874i	0.0168008	−	0.999859i	$-0.494652\pi$
$7$	1.04152	−	0.194694i	0.393658	−	0.0735874i	0.376857	+	0.926271i	$0.377005\pi$
$8$	−0.982973	−	0.183750i	−0.347533	−	0.0649653i
$9$	0.445738	+	0.895163i	0.148579	+	0.298388i
$10$	−0.630958	+	2.21759i	−0.199527	+	0.701263i
$11$	1.73473	+	3.48381i	0.523042	+	1.05041i	0.986419	+	0.164248i	$0.0525198\pi$
$11$	1.73473	+	3.48381i	0.523042	+	1.05041i	−0.463377	+	0.886161i	$0.653363\pi$
$12$	0.932472	−	0.361242i	0.269182	−	0.104281i
$13$	−2.49810	+	0.466977i	−0.692849	+	0.129516i	−0.518385	−	0.855147i	$-0.673466\pi$
$13$	−2.49810	+	0.466977i	−0.692849	+	0.129516i	−0.174465	+	0.984663i	$0.555819\pi$
$14$	0.638529	+	0.845549i	0.170654	+	0.225982i
$15$	−0.630958	−	2.21759i	−0.162913	−	0.572579i
$16$	−0.273663	−	0.961826i	−0.0684157	−	0.240456i
$17$	−0.256618	−	2.76934i	−0.0622389	−	0.671665i	−0.968511	−	0.248970i	$-0.919908\pi$
$17$	−0.256618	−	2.76934i	−0.0622389	−	0.671665i	0.906272	−	0.422694i	$-0.138916\pi$
$18$	−0.602635	+	0.798017i	−0.142042	+	0.188094i
$19$	4.10624	−	2.54247i	0.942035	−	0.583284i	0.0327531	−	0.999463i	$-0.489572\pi$
$19$	4.10624	−	2.54247i	0.942035	−	0.583284i	0.909282	+	0.416180i	$0.136631\pi$
$20$	−2.26635	+	0.423653i	−0.506770	+	0.0947318i
$21$	−0.988012	−	0.382758i	−0.215602	−	0.0835246i
$22$	−2.34535	+	3.10574i	−0.500029	+	0.662146i
$23$	−3.61838	+	7.26669i	−0.754485	+	1.51521i	0.0995722	+	0.995030i	$0.468253\pi$
$23$	−3.61838	+	7.26669i	−0.754485	+	1.51521i	−0.854057	+	0.520179i	$0.825865\pi$
$24$	0.739009	+	0.673696i	0.150850	+	0.137518i
$25$	0.0291389	+	0.314459i	0.00582778	+	0.0628918i
$26$	−1.53152	−	2.02806i	−0.300356	−	0.397736i
$27$	0.0922684	−	0.995734i	0.0177571	−	0.191629i
$28$	−0.472287	+	0.948481i	−0.0892539	+	0.179246i
$29$	5.75382	+	5.24530i	1.06846	+	0.974027i	0.999721	−	0.0236078i	$-0.00751528\pi$
$29$	5.75382	+	5.24530i	1.06846	+	0.974027i	0.0687356	+	0.997635i	$0.478104\pi$
$30$	1.70386	−	1.55327i	0.311081	−	0.283588i
$31$	2.73092	+	9.59820i	0.490488	+	1.72389i	0.672048	+	0.740508i	$0.265415\pi$
$31$	2.73092	+	9.59820i	0.490488	+	1.72389i	−0.181559	+	0.983380i	$0.558114\pi$
$32$	0.739009	−	0.673696i	0.130640	−	0.119094i
$33$	0.359092	−	3.87522i	0.0625099	−	0.674589i
$34$	2.36463	−	1.46412i	0.405531	−	0.251094i
$35$	2.07702	+	1.28604i	0.351080	+	0.217380i
$36$	−0.982973	−	0.183750i	−0.163829	−	0.0306249i
$37$	−9.39039	+	3.63786i	−1.54377	+	0.598060i	−0.974559	−	0.224130i	$-0.928046\pi$
$37$	−9.39039	+	3.63786i	−1.54377	+	0.598060i	−0.569212	+	0.822191i	$0.692752\pi$
$38$	4.10624	+	2.54247i	0.666120	+	0.412444i
$39$	2.36976	+	0.918051i	0.379466	+	0.147006i
$40$	−1.38944	−	1.83991i	−0.219689	−	0.290915i
$41$	5.31132	−	4.84191i	0.829489	−	0.756179i	−0.142852	−	0.989744i	$-0.545627\pi$
$41$	5.31132	−	4.84191i	0.829489	−	0.756179i	0.972341	+	0.233565i	$0.0750391\pi$
$42$	−0.0977640	−	1.05504i	−0.0150853	−	0.162797i
$43$	2.92138	+	1.13175i	0.445506	+	0.172590i	0.573536	−	0.819180i	$-0.305571\pi$
$43$	2.92138	+	1.13175i	0.445506	+	0.172590i	−0.128030	+	0.991770i	$0.540865\pi$
$44$	−3.82555	−	0.715120i	−0.576724	−	0.107808i
$45$	−0.630958	+	2.21759i	−0.0940577	+	0.330579i
$46$	−8.11773			−1.19689
$47$	−7.17982			−1.04728			−0.523642	−	0.851938i	$-0.675427\pi$
$47$	−7.17982			−1.04728			−0.523642	+	0.851938i	$0.675427\pi$
$48$	−0.273663	+	0.961826i	−0.0394999	+	0.138828i
$49$	−5.48045	+	2.12314i	−0.782921	+	0.303305i
$50$	−0.268504	+	0.166251i	−0.0379722	+	0.0235114i
$51$	−1.23969	+	2.48964i	−0.173591	+	0.348619i
$52$	1.13279	−	2.27495i	0.157090	−	0.315478i
$53$	4.31525	−	2.67189i	0.592745	−	0.367012i	−0.197040	−	0.980395i	$-0.563133\pi$
$53$	4.31525	−	2.67189i	0.592745	−	0.367012i	0.789785	+	0.613383i	$0.210192\pi$
$54$	0.932472	−	0.361242i	0.126893	−	0.0491588i
$55$	−2.45558	+	8.63045i	−0.331110	+	1.16373i
$56$	−1.05956			−0.141590
$57$	−4.82963			−0.639701
$58$	−2.13070	+	7.48864i	−0.279775	+	0.983306i
$59$	3.59404	+	0.671843i	0.467905	+	0.0874665i	0.412422	−	0.910993i	$-0.364683\pi$
$59$	3.59404	+	0.671843i	0.467905	+	0.0874665i	0.0554830	+	0.998460i	$0.482330\pi$
$60$	2.14991	+	0.832880i	0.277552	+	0.107524i
$61$	−0.992221	−	10.7078i	−0.127041	−	1.37099i	−0.785728	−	0.618572i	$-0.787711\pi$
$61$	−0.992221	−	10.7078i	−0.127041	−	1.37099i	0.658687	−	0.752417i	$-0.271112\pi$
$62$	−7.37468	+	6.72291i	−0.936585	+	0.853810i
$63$	0.638529	+	0.845549i	0.0804470	+	0.106529i
$64$	0.932472	+	0.361242i	0.116559	+	0.0451552i
$65$	−4.98177	−	3.08458i	−0.617912	−	0.382595i
$66$	3.62901	−	1.40589i	0.446701	−	0.173053i
$67$	−9.02235	−	1.68657i	−1.10226	−	0.206047i	−0.398977	−	0.916961i	$-0.630635\pi$
$67$	−9.02235	−	1.68657i	−1.10226	−	0.206047i	−0.703279	+	0.710914i	$0.748282\pi$
$68$	2.36463	+	1.46412i	0.286754	+	0.177550i
$69$	6.90183	−	4.27343i	0.830883	−	0.514461i
$70$	−0.225405	+	2.43251i	−0.0269411	+	0.290740i
$71$	4.38253	−	3.99520i	0.520110	−	0.474143i	−0.370550	−	0.928813i	$-0.620831\pi$
$71$	4.38253	−	3.99520i	0.520110	−	0.474143i	0.890660	+	0.454669i	$0.150243\pi$
$72$	−0.273663	−	0.961826i	−0.0322515	−	0.113352i
$73$	10.3639	−	9.44793i	1.21300	−	1.10580i	0.221573	−	0.975144i	$-0.428881\pi$
$73$	10.3639	−	9.44793i	1.21300	−	1.10580i	0.991428	−	0.130653i	$-0.0417072\pi$
$74$	−7.44214	−	6.78440i	−0.865131	−	0.788671i
$75$	0.140767	−	0.282698i	0.0162544	−	0.0326432i
$76$	−0.445622	+	4.80903i	−0.0511164	+	0.551634i
$77$	2.48504	+	3.29072i	0.283196	+	0.375013i
$78$	0.234489	+	2.53053i	0.0265506	+	0.286527i
$79$	2.84044	+	2.58940i	0.319574	+	0.291330i	0.817547	−	0.575863i	$-0.195334\pi$
$79$	2.84044	+	2.58940i	0.319574	+	0.291330i	−0.497972	+	0.867193i	$0.665922\pi$
$80$	1.02770	−	2.06389i	0.114900	−	0.230750i
$81$	−0.602635	+	0.798017i	−0.0669594	+	0.0886686i
$82$	6.70176	+	2.59628i	0.740085	+	0.286711i
$83$	14.7725	−	2.76146i	1.62150	−	0.303110i	0.706849	−	0.707365i	$-0.250116\pi$
$83$	14.7725	−	2.76146i	1.62150	−	0.303110i	0.914647	+	0.404255i	$0.132469\pi$
$84$	0.900858	−	0.557787i	0.0982916	−	0.0608596i
$85$	3.86431	−	5.11718i	0.419143	−	0.555036i
$86$	0.289071	+	3.11958i	0.0311714	+	0.336392i
$87$	−2.13070	−	7.48864i	−0.228435	−	0.802866i
$88$	−1.06505	−	3.74325i	−0.113534	−	0.399032i
$89$	0.852278	+	1.12860i	0.0903413	+	0.119631i	0.840943	−	0.541124i	$-0.182001\pi$
$89$	0.852278	+	1.12860i	0.0903413	+	0.119631i	−0.750602	+	0.660755i	$0.770236\pi$
$90$	−2.26635	+	0.423653i	−0.238894	+	0.0446570i
$91$	−2.51091	+	0.972731i	−0.263215	+	0.101970i
$92$	−3.61838	−	7.26669i	−0.377242	−	0.757605i
$93$	2.73092	−	9.59820i	0.283184	−	0.995287i
$94$	−3.20032	−	6.42711i	−0.330088	−	0.662906i
$95$	10.9456	+	2.04609i	1.12300	+	0.209925i
$96$	−0.982973	+	0.183750i	−0.100324	+	0.0187539i
$97$	−0.798649	+	8.61880i	−0.0810905	+	0.875106i	0.853901	+	0.520436i	$0.174230\pi$
$97$	−0.798649	+	8.61880i	−0.0810905	+	0.875106i	−0.934991	+	0.354670i	$0.884593\pi$
$98$	−4.34340	−	3.95953i	−0.438749	−	0.399973i
$99$	−2.34535	+	3.10574i	−0.235716	+	0.312139i
$100$	−0.268504	−	0.166251i	−0.0268504	−	0.0166251i
$101$	−4.31163	−	8.65893i	−0.429024	−	0.861595i	−0.999197	−	0.0400709i	$-0.987242\pi$
$101$	−4.31163	−	8.65893i	−0.429024	−	0.861595i	0.570173	−	0.821524i	$-0.306876\pi$
$102$	−2.78121			−0.275381
$103$	−6.13472	+	8.08488i	−0.604472	+	0.796627i
$103$	−6.13472	+	8.08488i	−0.604472	+	0.796627i
$104$	2.54138			0.249202
$105$	−1.08891	−	2.18682i	−0.106266	−	0.213412i
$106$	4.31525	+	2.67189i	0.419134	+	0.259517i
$107$	−0.878848	+	1.16378i	−0.0849615	+	0.112507i	−0.838513	−	0.544882i	$-0.816574\pi$
$107$	−0.878848	+	1.16378i	−0.0849615	+	0.112507i	0.753551	+	0.657389i	$0.228339\pi$
$108$	0.739009	+	0.673696i	0.0711112	+	0.0648264i
$109$	1.41220	−	15.2401i	0.135265	−	1.45974i	−0.609700	−	0.792633i	$-0.708710\pi$
$109$	1.41220	−	15.2401i	0.135265	−	1.45974i	0.744964	−	0.667105i	$-0.232467\pi$
$110$	−8.82021	+	1.64878i	−0.840974	+	0.157205i
$111$	9.89896	+	1.85044i	0.939568	+	0.175636i
$112$	−0.472287	−	0.948481i	−0.0446270	−	0.0896230i
$113$	4.79112	−	16.8390i	0.450711	−	1.58408i	−0.320335	−	0.947304i	$-0.603796\pi$
$113$	4.79112	−	16.8390i	0.450711	−	1.58408i	0.771046	−	0.636780i	$-0.219734\pi$
$114$	−2.15275	−	4.32331i	−0.201624	−	0.404915i
$115$	−17.4524	+	6.76109i	−1.62744	+	0.630475i
$116$	−7.65329	+	1.43065i	−0.710590	+	0.132832i
$117$	−1.53152	−	2.02806i	−0.141589	−	0.187494i
$118$	1.00059	+	3.51672i	0.0921121	+	0.323740i
$119$	−0.806447	−	2.83437i	−0.0739269	−	0.259826i
$120$	0.212734	+	2.29577i	0.0194199	+	0.209574i
$121$	−2.49868	+	3.30879i	−0.227153	+	0.300799i
$122$	9.14293	−	5.66106i	0.827762	−	0.512529i
$123$	−7.06471	+	1.32062i	−0.637004	+	0.119077i
$124$	−9.30528	−	3.60488i	−0.835639	−	0.323728i
$125$	6.50839	−	8.61850i	0.582128	−	0.770862i
$126$	−0.472287	+	0.948481i	−0.0420747	+	0.0844974i
$127$	−8.73542	−	7.96339i	−0.775143	−	0.706636i	0.186042	−	0.982542i	$-0.440434\pi$
$127$	−8.73542	−	7.96339i	−0.775143	−	0.706636i	−0.961185	+	0.275905i	$0.911022\pi$
$128$	0.0922684	+	0.995734i	0.00815545	+	0.0880113i
$129$	−1.88802	−	2.50014i	−0.166231	−	0.220125i
$130$	0.540638	−	5.83441i	0.0474170	−	0.511711i
$131$	7.09042	−	14.2395i	0.619493	−	1.24411i	−0.333965	−	0.942585i	$-0.608387\pi$
$131$	7.09042	−	14.2395i	0.619493	−	1.24411i	0.953458	−	0.301525i	$-0.0974956\pi$
$132$	2.87609	+	2.62190i	0.250331	+	0.228207i
$133$	3.78173	−	3.44750i	0.327917	−	0.298936i
$134$	−2.51185	−	8.82825i	−0.216991	−	0.762645i
$135$	1.70386	−	1.55327i	0.146645	−	0.133685i
$136$	−0.256618	+	2.76934i	−0.0220048	+	0.237469i
$137$	5.88914	−	3.64640i	0.503143	−	0.311533i	−0.251288	−	0.967912i	$-0.580854\pi$
$137$	5.88914	−	3.64640i	0.503143	−	0.311533i	0.754431	+	0.656379i	$0.227913\pi$
$138$	6.90183	+	4.27343i	0.587523	+	0.363779i
$139$	−4.65134	−	0.869486i	−0.394522	−	0.0737489i	−0.0172492	−	0.999851i	$-0.505491\pi$
$139$	−4.65134	−	0.869486i	−0.394522	−	0.0737489i	−0.377272	+	0.926102i	$0.623138\pi$
$140$	−2.27796	+	0.882488i	−0.192523	+	0.0745838i
$141$	6.10440	+	3.77969i	0.514083	+	0.318307i
$142$	5.52982	+	2.14226i	0.464052	+	0.179775i
$143$	−5.96040	−	7.89285i	−0.498434	−	0.660033i
$144$	0.739009	−	0.673696i	0.0615841	−	0.0561413i
$145$	1.65632	+	17.8745i	0.137550	+	1.48440i
$146$	13.0770	+	5.06606i	1.08226	+	0.419270i
$147$	5.77726	+	1.07996i	0.476500	+	0.0890733i
$148$	2.75590	−	9.68600i	0.226534	−	0.796184i
$149$	−4.86244			−0.398347			−0.199173	−	0.979964i	$-0.563826\pi$
$149$	−4.86244			−0.398347			−0.199173	+	0.979964i	$0.563826\pi$
$150$	0.315806			0.0257855
$151$	1.82860	−	6.42686i	0.148809	−	0.523011i	−0.851189	−	0.524859i	$-0.824118\pi$
$151$	1.82860	−	6.42686i	0.148809	−	0.523011i	0.999998	+	0.00184873i	$0.000588469\pi$
$152$	−4.50350	+	1.74466i	−0.365282	+	0.141511i
$153$	2.36463	−	1.46412i	0.191169	−	0.118367i
$154$	−1.83806	+	3.69132i	−0.148115	+	0.297455i
$155$	−10.2555	+	20.5959i	−0.823744	+	1.65430i
$156$	−2.16072	+	1.33786i	−0.172996	+	0.107115i
$157$	−16.5822	+	6.42400i	−1.32341	+	0.512691i	−0.916228	−	0.400657i	$-0.868782\pi$
$157$	−16.5822	+	6.42400i	−1.32341	+	0.512691i	−0.407179	+	0.913348i	$0.633488\pi$
$158$	−1.05184	+	3.69685i	−0.0836803	+	0.294106i
$159$	−5.07547			−0.402511
$160$	2.30560			0.182274
$161$	−2.35384	+	8.27289i	−0.185509	+	0.651995i
$162$	−0.982973	−	0.183750i	−0.0772297	−	0.0144367i
$163$	16.5101	+	6.39607i	1.29317	+	0.500978i	0.906877	−	0.421396i	$-0.138460\pi$
$163$	16.5101	+	6.39607i	1.29317	+	0.500978i	0.386298	+	0.922374i	$0.373754\pi$
$164$	0.663141	+	7.15643i	0.0517826	+	0.558823i
$165$	6.63112	−	6.04507i	0.516232	−	0.470608i
$166$	9.05664	+	11.9929i	0.702932	+	0.930832i
$167$	5.83664	+	2.26113i	0.451653	+	0.174971i	0.576314	−	0.817228i	$-0.304490\pi$
$167$	5.83664	+	2.26113i	0.451653	+	0.174971i	−0.124662	+	0.992199i	$0.539785\pi$
$168$	0.900858	+	0.557787i	0.0695027	+	0.0430342i
$169$	−6.09968	+	2.36303i	−0.469206	+	0.181772i
$170$	6.30318	+	1.17827i	0.483432	+	0.0903691i
$171$	4.10624	+	2.54247i	0.314012	+	0.194428i
$172$	−2.66368	+	1.64928i	−0.203104	+	0.125756i
$173$	0.997550	−	10.7653i	0.0758423	−	0.818469i	−0.869831	−	0.493350i	$-0.835772\pi$
$173$	0.997550	−	10.7653i	0.0758423	−	0.818469i	0.945673	−	0.325119i	$-0.105404\pi$
$174$	5.75382	−	5.24530i	0.436196	−	0.397645i
$175$	0.0915720	+	0.321842i	0.00692220	+	0.0243290i
$176$	2.87609	−	2.62190i	0.216793	−	0.197633i
$177$	−2.70204	−	2.46323i	−0.203098	−	0.185148i
$178$	−0.630387	+	1.26599i	−0.0472495	+	0.0948898i
$179$	1.29741	−	14.0013i	0.0969732	−	1.04651i	−0.798680	−	0.601756i	$-0.794468\pi$
$179$	1.29741	−	14.0013i	0.0969732	−	1.04651i	0.895654	−	0.444752i	$-0.146708\pi$
$180$	−1.38944	−	1.83991i	−0.103562	−	0.137139i
$181$	0.352120	+	3.79998i	0.0261729	+	0.282450i	0.998755	+	0.0498896i	$0.0158869\pi$
$181$	0.352120	+	3.79998i	0.0261729	+	0.282450i	−0.972582	+	0.232561i	$0.925290\pi$
$182$	−1.98996	−	1.81409i	−0.147506	−	0.134469i
$183$	−4.79331	+	9.62626i	−0.354332	+	0.711594i
$184$	4.89202	−	6.47809i	0.360645	−	0.477571i
$185$	−21.6505	−	8.38746i	−1.59178	−	0.616658i
$186$	9.80923	−	1.83366i	0.719248	−	0.134451i
$187$	9.20272	−	5.69808i	0.672969	−	0.416685i
$188$	4.32681	−	5.72962i	0.315565	−	0.417875i
$189$	−0.0977640	−	1.05504i	−0.00711129	−	0.0767430i
$190$	3.04730	+	10.7101i	0.221074	+	0.776995i
$191$	2.58641	+	9.09028i	0.187146	+	0.657750i	0.997426	+	0.0717067i	$0.0228445\pi$
$191$	2.58641	+	9.09028i	0.187146	+	0.657750i	−0.810280	+	0.586043i	$0.800685\pi$
$192$	−0.602635	−	0.798017i	−0.0434914	−	0.0575919i
$193$	6.93409	−	1.29621i	0.499127	−	0.0933030i	0.0718346	−	0.997417i	$-0.477115\pi$
$193$	6.93409	−	1.29621i	0.499127	−	0.0933030i	0.427292	+	0.904114i	$0.359468\pi$
$194$	−8.07122	+	3.12681i	−0.579480	+	0.224492i
$195$	2.61176	+	5.24512i	0.187032	+	0.375611i
$196$	1.60841	−	5.65297i	0.114886	−	0.403783i
$197$	9.34671	+	18.7707i	0.665925	+	1.33736i	0.928097	+	0.372337i	$0.121444\pi$
$197$	9.34671	+	18.7707i	0.665925	+	1.33736i	−0.262172	+	0.965021i	$0.584439\pi$
$198$	−3.82555	−	0.715120i	−0.271870	−	0.0508214i
$199$	5.21370	−	0.974610i	0.369590	−	0.0690883i	0.00432157	−	0.999991i	$-0.498624\pi$
$199$	5.21370	−	0.974610i	0.369590	−	0.0690883i	0.365268	+	0.930902i	$0.380977\pi$
$200$	0.0291389	−	0.314459i	0.00206043	−	0.0222356i
$201$	6.78310	+	6.18361i	0.478443	+	0.436158i
$202$	5.82929	−	7.71923i	0.410148	−	0.543123i
$203$	7.01395	+	4.34285i	0.492283	+	0.304808i
$204$	−1.23969	−	2.48964i	−0.0867957	−	0.174309i
$205$	16.5706			1.15734
$206$	−9.97176	−	1.88783i	−0.694766	−	0.131531i
$207$	−8.11773			−0.564221
$208$	1.13279	+	2.27495i	0.0785448	+	0.157739i
$209$	15.9807	+	9.89485i	1.10541	+	0.684441i
$210$	1.47219	−	1.94950i	0.101591	−	0.134528i
$211$	−15.6845	−	14.2983i	−1.07977	−	0.984337i	−0.0798442	−	0.996807i	$-0.525442\pi$
$211$	−15.6845	−	14.2983i	−1.07977	−	0.984337i	−0.999922	+	0.0124702i	$0.996031\pi$
$212$	−0.468305	+	5.05382i	−0.0321633	+	0.347097i
$213$	−5.82930	+	1.08969i	−0.399417	+	0.0746640i
$214$	−1.43351	−	0.267970i	−0.0979929	−	0.0183180i
$215$	3.21971	+	6.46605i	0.219582	+	0.440981i
$216$	−0.273663	+	0.961826i	−0.0186204	+	0.0654439i
$217$	4.71303	+	9.46503i	0.319941	+	0.642528i
$218$	14.2719	−	5.52895i	0.966612	−	0.374467i
$219$	−13.7852	+	2.57691i	−0.931521	+	0.174131i
$220$	−5.40744	−	7.16060i	−0.364569	−	0.482768i
$221$	1.93428	+	6.79827i	0.130113	+	0.457301i
$222$	2.75590	+	9.68600i	0.184964	+	0.650081i
$223$	−0.390199	−	4.21091i	−0.0261296	−	0.281984i	−0.998767	−	0.0496531i	$-0.984188\pi$
$223$	−0.390199	−	4.21091i	−0.0261296	−	0.281984i	0.972637	−	0.232331i	$-0.0746351\pi$
$224$	0.638529	−	0.845549i	0.0426635	−	0.0564956i
$225$	−0.268504	+	0.166251i	−0.0179003	+	0.0110834i
$226$	17.2093	−	3.21697i	1.14474	−	0.213990i
$227$	−10.3969	−	4.02778i	−0.690067	−	0.267333i	−0.00943144	−	0.999956i	$-0.503002\pi$
$227$	−10.3969	−	4.02778i	−0.690067	−	0.267333i	−0.680636	+	0.732622i	$0.738296\pi$
$228$	2.91050	−	3.85413i	0.192753	−	0.255246i
$229$	7.55644	−	15.1754i	0.499344	−	1.00282i	−0.491885	−	0.870660i	$-0.663692\pi$
$229$	7.55644	−	15.1754i	0.499344	−	1.00282i	0.991229	−	0.132157i	$-0.0421904\pi$
$230$	−13.8315	−	12.6091i	−0.912021	−	0.831417i
$231$	−0.380480	−	4.10603i	−0.0250337	−	0.270157i
$232$	−4.69203	−	6.21325i	−0.308047	−	0.407920i
$233$	−0.645118	+	6.96193i	−0.0422631	+	0.456091i	0.948137	+	0.317862i	$0.102965\pi$
$233$	−0.645118	+	6.96193i	−0.0422631	+	0.456091i	−0.990400	+	0.138230i	$0.955859\pi$
$234$	1.13279	−	2.27495i	0.0740527	−	0.148718i
$235$	−12.2334	−	11.1522i	−0.798020	−	0.727491i
$236$	−2.70204	+	2.46323i	−0.175888	+	0.160343i
$237$	−1.05184	−	3.69685i	−0.0683247	−	0.240136i
$238$	2.17776	−	1.98529i	0.141163	−	0.128687i
$239$	−1.20035	+	12.9539i	−0.0776443	+	0.837916i	0.864483	+	0.502662i	$0.167646\pi$
$239$	−1.20035	+	12.9539i	−0.0776443	+	0.837916i	−0.942128	+	0.335254i	$0.891178\pi$
$240$	−1.96026	+	1.21374i	−0.126534	+	0.0783468i
$241$	11.3636	+	7.03605i	0.731995	+	0.453232i	0.841156	−	0.540792i	$-0.181875\pi$
$241$	11.3636	+	7.03605i	0.731995	+	0.453232i	−0.109162	+	0.994024i	$0.534817\pi$
$242$	−4.07566	−	0.761873i	−0.261993	−	0.0489750i
$243$	0.932472	−	0.361242i	0.0598181	−	0.0231737i
$244$	9.14293	+	5.66106i	0.585316	+	0.362412i
$245$	−12.6357	−	4.89511i	−0.807267	−	0.312737i
$246$	−4.33119	−	5.73542i	−0.276146	−	0.365677i
$247$	−9.07053	+	8.26888i	−0.577144	+	0.526136i
$248$	−0.920760	−	9.93658i	−0.0584683	−	0.630973i
$249$	−14.0136	−	5.42889i	−0.888074	−	0.344042i
$250$	10.6160	+	1.98448i	0.671415	+	0.125509i
$251$	−5.93437	+	20.8571i	−0.374574	+	1.31649i	0.514013	+	0.857782i	$0.328158\pi$
$251$	−5.93437	+	20.8571i	−0.374574	+	1.31649i	−0.888587	+	0.458708i	$0.848312\pi$
$252$	−1.05956			−0.0667461
$253$	−31.5927			−1.98622
$254$	3.23482	−	11.3692i	0.202971	−	0.713368i
$255$	−5.97935	+	2.31641i	−0.374441	+	0.145059i
$256$	−0.850217	+	0.526432i	−0.0531386	+	0.0329020i
$257$	−8.30982	+	16.6884i	−0.518352	+	1.04099i	0.469111	+	0.883139i	$0.344575\pi$
$257$	−8.30982	+	16.6884i	−0.518352	+	1.04099i	−0.987463	+	0.157852i	$0.949543\pi$
$258$	1.39647	−	2.80449i	0.0869405	−	0.174600i
$259$	−9.07202	+	5.61716i	−0.563708	+	0.349033i
$260$	5.46373	−	2.11666i	0.338846	−	0.131270i
$261$	−2.13070	+	7.48864i	−0.131887	+	0.463535i
$262$	15.9071			0.982747
$263$	−10.5932			−0.653203			−0.326601	−	0.945162i	$-0.605903\pi$
$263$	−10.5932			−0.653203			−0.326601	+	0.945162i	$0.605903\pi$
$264$	−1.06505	+	3.74325i	−0.0655491	+	0.230381i
$265$	11.5028	+	2.15024i	0.706609	+	0.132088i
$266$	4.77174	+	1.84858i	0.292574	+	0.113344i
$267$	−0.130491	−	1.40822i	−0.00798591	−	0.0861817i
$268$	6.78310	−	6.18361i	0.414343	−	0.377724i
$269$	−6.17082	−	8.17148i	−0.376241	−	0.498224i	0.570018	−	0.821632i	$-0.306936\pi$
$269$	−6.17082	−	8.17148i	−0.376241	−	0.498224i	−0.946260	+	0.323408i	$0.895171\pi$
$270$	2.14991	+	0.832880i	0.130839	+	0.0506875i
$271$	−17.2525	−	10.6823i	−1.04801	−	0.648903i	−0.109445	−	0.993993i	$-0.534907\pi$
$271$	−17.2525	−	10.6823i	−1.04801	−	0.648903i	−0.938570	+	0.345090i	$0.887849\pi$
$272$	−2.59340	+	1.00469i	−0.157248	+	0.0609182i
$273$	2.64690	+	0.494790i	0.160197	+	0.0299461i
$274$	5.88914	+	3.64640i	0.355776	+	0.220287i
$275$	−1.04497	+	0.647017i	−0.0630140	+	0.0390166i
$276$	−0.749009	+	8.08310i	−0.0450851	+	0.486545i
$277$	−6.45734	+	5.88664i	−0.387984	+	0.353694i	−0.844062	−	0.536246i	$-0.819842\pi$
$277$	−6.45734	+	5.88664i	−0.387984	+	0.353694i	0.456078	+	0.889940i	$0.349254\pi$
$278$	−1.29495	−	4.55127i	−0.0776659	−	0.272967i
$279$	−7.37468	+	6.72291i	−0.441511	+	0.402490i
$280$	−1.80535	−	1.64579i	−0.107890	−	0.0983548i
$281$	2.15349	−	4.32479i	0.128466	−	0.257995i	−0.821587	−	0.570084i	$-0.806911\pi$
$281$	2.15349	−	4.32479i	0.128466	−	0.257995i	0.950053	+	0.312088i	$0.101028\pi$
$282$	−0.662470	+	7.14919i	−0.0394495	+	0.425728i
$283$	10.4843	+	13.8834i	0.623224	+	0.825282i	0.994663	−	0.103175i	$-0.0329002\pi$
$283$	10.4843	+	13.8834i	0.623224	+	0.825282i	−0.371439	+	0.928457i	$0.621136\pi$
$284$	0.547177	+	5.90498i	0.0324690	+	0.350396i
$285$	−8.22903	−	7.50175i	−0.487445	−	0.444365i
$286$	4.40861	−	8.85368i	0.260686	−	0.523529i
$287$	4.58916	−	6.07703i	0.270890	−	0.358716i
$288$	0.932472	+	0.361242i	0.0549465	+	0.0212864i
$289$	9.10713	−	1.70242i	0.535713	−	0.100142i
$290$	−15.2623	+	9.45003i	−0.896235	+	0.554925i
$291$	5.21624	−	6.90741i	0.305781	−	0.404920i
$292$	1.29397	+	13.9642i	0.0757241	+	0.817193i
$293$	1.08565	+	3.81565i	0.0634241	+	0.222913i	0.987058	−	0.160363i	$-0.0512665\pi$
$293$	1.08565	+	3.81565i	0.0634241	+	0.222913i	−0.923634	+	0.383276i	$0.874796\pi$
$294$	1.60841	+	5.65297i	0.0938042	+	0.329688i
$295$	5.08019	+	6.72726i	0.295780	+	0.391676i
$296$	9.89896	−	1.85044i	0.575365	−	0.107554i
$297$	3.62901	−	1.40589i	0.210577	−	0.0815779i
$298$	−2.16738	−	4.35268i	−0.125553	−	0.252144i
$299$	5.64572	−	19.8426i	0.326500	−	1.14753i
$300$	0.140767	+	0.282698i	0.00812718	+	0.0163216i
$301$	3.26302	+	0.609965i	0.188077	+	0.0351578i
$302$	6.56817	−	1.22780i	0.377956	−	0.0706522i
$303$	−0.892513	+	9.63175i	−0.0512735	+	0.553330i
$304$	−3.56914	−	3.25370i	−0.204704	−	0.186613i
$305$	14.9415	−	19.7857i	0.855548	−	1.13293i
$306$	2.36463	+	1.46412i	0.135177	+	0.0836980i
$307$	−8.42268	−	16.9150i	−0.480708	−	0.965392i	−0.994225	−	0.107312i	$-0.965775\pi$
$307$	−8.42268	−	16.9150i	−0.480708	−	0.965392i	0.513517	−	0.858079i	$-0.328342\pi$
$308$	−4.12362			−0.234965
$309$	9.47198	−	3.64439i	0.538842	−	0.207322i
$310$	−23.0080			−1.30676
$311$	9.55485	+	19.1887i	0.541806	+	1.08809i	0.981769	+	0.190077i	$0.0608739\pi$
$311$	9.55485	+	19.1887i	0.541806	+	1.08809i	−0.439963	+	0.898016i	$0.645008\pi$
$312$	−2.16072	−	1.33786i	−0.122327	−	0.0757415i
$313$	2.34874	−	3.11023i	0.132759	−	0.175801i	−0.726782	−	0.686868i	$-0.758985\pi$
$313$	2.34874	−	3.11023i	0.132759	−	0.175801i	0.859541	+	0.511067i	$0.170750\pi$
$314$	−13.1419	−	11.9804i	−0.741639	−	0.676093i
$315$	−0.225405	+	2.43251i	−0.0127001	+	0.137056i
$316$	−3.77813	+	0.706256i	−0.212537	+	0.0397300i
$317$	−33.2604	−	6.21745i	−1.86809	−	0.349207i	−0.876796	−	0.480863i	$-0.840323\pi$
$317$	−33.2604	−	6.21745i	−1.86809	−	0.349207i	−0.991295	+	0.131657i	$0.957970\pi$
$318$	−2.26233	−	4.54337i	−0.126865	−	0.254780i
$319$	−8.29230	+	29.1444i	−0.464280	+	1.63177i
$320$	1.02770	+	2.06389i	0.0574499	+	0.115375i
$321$	1.35986	−	0.526814i	0.0759003	−	0.0294039i
$322$	−8.45478	+	1.58047i	−0.471166	+	0.0880763i
$323$	−8.09472	−	10.7191i	−0.450402	−	0.596429i
$324$	−0.273663	−	0.961826i	−0.0152035	−	0.0534348i
$325$	−0.219637	−	0.771944i	−0.0121833	−	0.0428197i
$326$	1.63368	+	17.6302i	0.0904813	+	0.976449i
$327$	−9.22356	+	12.2140i	−0.510064	+	0.675434i
$328$	−6.11058	+	3.78351i	−0.337401	+	0.208910i
$329$	−7.47793	+	1.39787i	−0.412271	+	0.0770669i
$330$	8.36707	+	3.24142i	0.460592	+	0.178434i
$331$	−4.58558	+	6.07229i	−0.252046	+	0.333763i	−0.906396	−	0.422429i	$-0.861178\pi$
$331$	−4.58558	+	6.07229i	−0.252046	+	0.333763i	0.654350	+	0.756192i	$0.272942\pi$
$332$	−6.69874	+	13.4529i	−0.367641	+	0.738323i
$333$	−7.44214	−	6.78440i	−0.407827	−	0.371783i
$334$	0.577537	+	6.23262i	0.0316014	+	0.341034i
$335$	−12.7531	−	16.8879i	−0.696778	−	0.922683i
$336$	−0.0977640	+	1.05504i	−0.00533347	+	0.0575573i
$337$	9.27614	−	18.6290i	0.505303	−	1.01479i	−0.484824	−	0.874612i	$-0.661116\pi$
$337$	9.27614	−	18.6290i	0.505303	−	1.01479i	0.990127	−	0.140174i	$-0.0447662\pi$
$338$	−4.83416	−	4.40692i	−0.262944	−	0.239705i
$339$	−12.9381	+	11.7946i	−0.702701	+	0.640597i
$340$	1.75483	+	6.16757i	0.0951688	+	0.334484i
$341$	−28.7009	+	26.1643i	−1.55424	+	1.41688i
$342$	−0.445622	+	4.80903i	−0.0240965	+	0.260043i
$343$	−11.6006	+	7.18281i	−0.626376	+	0.387835i
$344$	−2.66368	−	1.64928i	−0.143616	−	0.0889232i
$345$	18.3976	+	3.43910i	0.990492	+	0.185155i
$346$	10.0813	−	3.90553i	0.541976	−	0.209963i
$347$	7.82752	+	4.84659i	0.420203	+	0.260179i	0.720207	−	0.693759i	$-0.244047\pi$
$347$	7.82752	+	4.84659i	0.420203	+	0.260179i	−0.300004	+	0.953938i	$0.596988\pi$
$348$	7.26009	+	2.81258i	0.389182	+	0.150770i
$349$	14.3885	+	19.0534i	0.770197	+	1.01991i	0.998922	+	0.0464145i	$0.0147795\pi$
$349$	14.3885	+	19.0534i	0.770197	+	1.01991i	−0.228725	+	0.973491i	$0.573456\pi$
$350$	−0.247284	+	0.225429i	−0.0132179	+	0.0120497i
$351$	0.234489	+	2.53053i	0.0125161	+	0.135070i
$352$	3.62901	+	1.40589i	0.193427	+	0.0749340i
$353$	−7.74932	−	1.44860i	−0.412455	−	0.0771012i	−0.0265674	−	0.999647i	$-0.508458\pi$
$353$	−7.74932	−	1.44860i	−0.412455	−	0.0771012i	−0.385888	+	0.922546i	$0.626105\pi$
$354$	1.00059	−	3.51672i	0.0531810	−	0.186912i
$355$	13.6729			0.725680
$356$	−1.41425			−0.0749553
$357$	−0.806447	+	2.83437i	−0.0426817	+	0.150011i
$358$	13.1118	−	5.07953i	0.692979	−	0.268461i
$359$	18.9352	−	11.7242i	0.999364	−	0.618780i	0.0737609	−	0.997276i	$-0.476500\pi$
$359$	18.9352	−	11.7242i	0.999364	−	0.618780i	0.925603	+	0.378496i	$0.123559\pi$
$360$	1.02770	−	2.06389i	0.0541643	−	0.108777i
$361$	1.92798	−	3.87191i	0.101473	−	0.203785i
$362$	−3.24465	+	2.00900i	−0.170535	+	0.105591i
$363$	3.86627	−	1.49780i	0.202927	−	0.0786142i
$364$	0.736904	−	2.58995i	0.0386243	−	0.135750i
$365$	32.3339			1.69243
$366$	−10.7536			−0.562102
$367$	8.63153	−	30.3367i	0.450562	−	1.58356i	−0.320788	−	0.947151i	$-0.603948\pi$
$367$	8.63153	−	30.3367i	0.450562	−	1.58356i	0.771350	−	0.636411i	$-0.219582\pi$
$368$	7.97951	+	1.49163i	0.415961	+	0.0777565i
$369$	6.70176	+	2.59628i	0.348880	+	0.135157i
$370$	−2.14232	−	23.1194i	−0.111374	−	1.20192i
$371$	3.97422	−	3.62298i	0.206331	−	0.188096i
$372$	6.01378	+	7.96353i	0.311800	+	0.412890i
$373$	−5.77017	−	2.23538i	−0.298768	−	0.115743i	0.207192	−	0.978300i	$-0.433568\pi$
$373$	−5.77017	−	2.23538i	−0.298768	−	0.115743i	−0.505960	+	0.862557i	$0.668862\pi$
$374$	9.20272	+	5.69808i	0.475861	+	0.294641i
$375$	−10.0706	+	3.90137i	−0.520044	+	0.201466i
$376$	7.05757	+	1.31929i	0.363966	+	0.0680371i
$377$	−16.8231	−	10.4164i	−0.866432	−	0.536472i
$378$	0.900858	−	0.557787i	0.0463351	−	0.0286895i
$379$	−1.12226	+	12.1111i	−0.0576464	+	0.622104i	0.917080	+	0.398703i	$0.130539\pi$
$379$	−1.12226	+	12.1111i	−0.0576464	+	0.622104i	−0.974727	+	0.223401i	$0.928284\pi$
$380$	−8.22903	+	7.50175i	−0.422140	+	0.384832i
$381$	3.23482	+	11.3692i	0.165725	+	0.582463i
$382$	−6.98443	+	6.36715i	−0.357354	+	0.325772i
$383$	22.4065	+	20.4262i	1.14492	+	1.04373i	0.998513	+	0.0545070i	$0.0173587\pi$
$383$	22.4065	+	20.4262i	1.14492	+	1.04373i	0.146406	+	0.989225i	$0.453230\pi$
$384$	0.445738	−	0.895163i	0.0227465	−	0.0456811i
$385$	−0.877236	+	9.46688i	−0.0447081	+	0.482477i
$386$	4.25111	+	5.62938i	0.216376	+	0.286528i
$387$	0.289071	+	3.11958i	0.0146943	+	0.158577i
$388$	−6.39665	−	5.83132i	−0.324741	−	0.296040i
$389$	−7.07112	+	14.2007i	−0.358520	+	0.720005i	−0.998842	−	0.0481010i	$-0.984683\pi$
$389$	−7.07112	+	14.2007i	−0.358520	+	0.720005i	0.640323	+	0.768106i	$0.278801\pi$
$390$	−3.53108	+	4.67590i	−0.178803	+	0.236774i
$391$	21.0525	+	8.15578i	1.06467	+	0.412456i
$392$	5.77726	−	1.07996i	0.291795	−	0.0545460i
$393$	−13.5245	+	8.37403i	−0.682222	+	0.422414i
$394$	−12.6367	+	16.7337i	−0.636626	+	0.843030i
$395$	0.817661	+	8.82396i	0.0411410	+	0.443982i
$396$	−1.06505	−	3.74325i	−0.0535206	−	0.188105i
$397$	−8.28315	−	29.1122i	−0.415719	−	1.46110i	−0.833483	−	0.552545i	$-0.813657\pi$
$397$	−8.28315	−	29.1122i	−0.415719	−	1.46110i	0.417764	−	0.908556i	$-0.362814\pi$
$398$	3.19638	+	4.23269i	0.160220	+	0.212166i
$399$	−5.03016	+	0.940301i	−0.251823	+	0.0470739i
$400$	0.294480	−	0.114082i	0.0147240	−	0.00570412i
$401$	10.8659	+	21.8217i	0.542617	+	1.08972i	0.981551	+	0.191203i	$0.0612388\pi$
$401$	10.8659	+	21.8217i	0.542617	+	1.08972i	−0.438933	+	0.898520i	$0.644644\pi$
$402$	−2.51185	+	8.82825i	−0.125280	+	0.440313i
$403$	−11.3043	−	22.7020i	−0.563106	−	1.13087i
$404$	9.50831	+	1.77741i	0.473056	+	0.0884295i
$405$	−2.26635	+	0.423653i	−0.112616	+	0.0210515i
$406$	−0.761177	+	8.21440i	−0.0377766	+	0.407674i
$407$	−28.9634	−	26.4037i	−1.43566	−	1.30878i
$408$	1.67605	−	2.21945i	0.0829770	−	0.109879i
$409$	3.29209	+	2.03838i	0.162784	+	0.100791i	0.605406	−	0.795917i	$-0.293011\pi$
$409$	3.29209	+	2.03838i	0.162784	+	0.100791i	−0.442623	+	0.896708i	$0.645952\pi$
$410$	7.38614	+	14.8334i	0.364775	+	0.732568i
$411$	−6.92663			−0.341666
$412$	−2.75488	−	9.76784i	−0.135723	−	0.481227i
$413$	3.87407			0.190631
$414$	−3.61838	−	7.26669i	−0.177834	−	0.357138i
$415$	29.4596	+	18.2406i	1.44612	+	0.895398i
$416$	−1.53152	+	2.02806i	−0.0750890	+	0.0994339i
$417$	3.49692	+	3.18787i	0.171245	+	0.156111i
$418$	−1.73428	+	18.7159i	−0.0848265	+	0.915424i
$419$	24.2321	−	4.52977i	1.18382	−	0.221294i	0.445208	−	0.895427i	$-0.353130\pi$
$419$	24.2321	−	4.52977i	1.18382	−	0.221294i	0.738609	+	0.674134i	$0.235483\pi$
$420$	2.40133	+	0.448887i	0.117173	+	0.0219034i
$421$	−14.9906	−	30.1053i	−0.730599	−	1.46724i	−0.878250	−	0.478201i	$-0.841289\pi$
$421$	−14.9906	−	30.1053i	−0.730599	−	1.46724i	0.147651	−	0.989040i	$-0.452829\pi$
$422$	5.80814	−	20.4135i	0.282736	−	0.993714i
$423$	−3.20032	−	6.42711i	−0.155605	−	0.312497i
$424$	−4.73273	+	1.83347i	−0.229842	+	0.0890412i
$425$	0.863367	−	0.161391i	0.0418795	−	0.00782863i
$426$	−3.57379	−	4.73246i	−0.173151	−	0.229289i
$427$	−3.11816	−	10.9592i	−0.150898	−	0.530352i
$428$	−0.399095	−	1.40267i	−0.0192910	−	0.0678007i
$429$	0.912587	+	9.84838i	0.0440601	+	0.475484i
$430$	−4.35302	+	5.76433i	−0.209921	+	0.277981i
$431$	−8.04018	+	4.97827i	−0.387282	+	0.239795i	−0.706238	−	0.707975i	$-0.749609\pi$
$431$	−8.04018	+	4.97827i	−0.387282	+	0.239795i	0.318956	+	0.947770i	$0.396668\pi$
$432$	−0.982973	+	0.183750i	−0.0472933	+	0.00884065i
$433$	12.5470	+	4.86072i	0.602968	+	0.233591i	0.643324	−	0.765594i	$-0.277555\pi$
$433$	12.5470	+	4.86072i	0.602968	+	0.233591i	−0.0403554	+	0.999185i	$0.512849\pi$
$434$	−6.37197	+	8.43785i	−0.305864	+	0.405030i
$435$	8.00149	−	16.0692i	0.383642	−	0.770457i
$436$	11.3108	+	10.3112i	0.541690	+	0.493816i
$437$	3.61744	+	39.0384i	0.173046	+	1.86746i
$438$	−8.45137	−	11.1914i	−0.403822	−	0.534747i
$439$	−2.26513	+	24.4446i	−0.108109	+	1.16668i	0.752916	+	0.658116i	$0.228646\pi$
$439$	−2.26513	+	24.4446i	−0.108109	+	1.16668i	−0.861025	+	0.508562i	$0.830177\pi$
$440$	3.99961	−	8.03229i	0.190674	−	0.382925i
$441$	−4.34340	−	3.95953i	−0.206828	−	0.188549i
$442$	−5.22338	+	4.76174i	−0.248451	+	0.226493i
$443$	−1.66373	−	5.84741i	−0.0790463	−	0.277819i	0.912219	−	0.409703i	$-0.134368\pi$
$443$	−1.66373	−	5.84741i	−0.0790463	−	0.277819i	−0.991265	+	0.131884i	$0.957897\pi$
$444$	−7.44214	+	6.78440i	−0.353188	+	0.321974i
$445$	−0.300860	+	3.24680i	−0.0142621	+	0.153913i
$446$	3.59553	−	2.22626i	0.170253	−	0.105416i
$447$	4.13413	+	2.55974i	0.195538	+	0.121072i
$448$	1.04152	+	0.194694i	0.0492072	+	0.00919843i
$449$	26.2239	−	10.1592i	1.23758	−	0.479442i	0.348551	−	0.937290i	$-0.386674\pi$
$449$	26.2239	−	10.1592i	1.23758	−	0.479442i	0.889030	+	0.457848i	$0.151380\pi$
$450$	−0.268504	−	0.166251i	−0.0126574	−	0.00783712i
$451$	26.0820	+	10.1042i	1.22816	+	0.475790i
$452$	10.5506	+	13.9712i	0.496256	+	0.657149i
$453$	−4.93801	+	4.50160i	−0.232008	+	0.211503i
$454$	−1.02878	−	11.1023i	−0.0482829	−	0.521055i
$455$	−5.78916	−	2.24273i	−0.271400	−	0.105141i
$456$	4.74740	+	0.887443i	0.222317	+	0.0415583i
$457$	3.88169	−	13.6427i	0.181578	−	0.638179i	−0.816565	−	0.577254i	$-0.804124\pi$
$457$	3.88169	−	13.6427i	0.181578	−	0.638179i	0.998142	−	0.0609252i	$-0.0194051\pi$
$458$	16.9526			0.792145
$459$	−2.78121			−0.129816
$460$	5.12195	−	18.0018i	0.238812	−	0.839337i
$461$	−17.0533	+	6.60650i	−0.794254	+	0.307695i	−0.723970	−	0.689832i	$-0.757685\pi$
$461$	−17.0533	+	6.60650i	−0.794254	+	0.307695i	−0.0702837	+	0.997527i	$0.522390\pi$
$462$	3.50598	−	2.17081i	0.163113	−	0.100995i
$463$	7.40782	−	14.8769i	0.344270	−	0.691388i	−0.653584	−	0.756854i	$-0.726736\pi$
$463$	7.40782	−	14.8769i	0.344270	−	0.691388i	0.997855	+	0.0654655i	$0.0208532\pi$
$464$	3.47045	−	6.96961i	0.161112	−	0.323556i
$465$	19.5618	−	12.1121i	0.907155	−	0.561686i
$466$	−6.51962	+	2.52571i	−0.302015	+	0.117001i
$467$	−9.62218	+	33.8185i	−0.445261	+	1.56493i	0.336704	+	0.941610i	$0.390688\pi$
$467$	−9.62218	+	33.8185i	−0.445261	+	1.56493i	−0.781966	+	0.623321i	$0.785783\pi$
$468$	2.54138			0.117475
$469$	−9.72533			−0.449074
$470$	4.53016	−	15.9219i	0.208961	−	0.734421i
$471$	17.4803	+	3.26764i	0.805450	+	0.150565i
$472$	−3.40940	−	1.32081i	−0.156930	−	0.0607951i
$473$	1.12501	+	12.1408i	0.0517282	+	0.558236i
$474$	2.84044	−	2.58940i	0.130466	−	0.118935i
$475$	0.919155	+	1.21716i	0.0421737	+	0.0558470i
$476$	2.74787	+	1.06453i	0.125948	+	0.0487926i
$477$	4.31525	+	2.67189i	0.197582	+	0.122337i
$478$	−12.1309	+	4.69952i	−0.554853	+	0.214951i
$479$	11.7216	+	2.19114i	0.535571	+	0.100116i	0.444585	−	0.895737i	$-0.353351\pi$
$479$	11.7216	+	2.19114i	0.535571	+	0.100116i	0.0909861	+	0.995852i	$0.470998\pi$
$480$	−1.96026	−	1.21374i	−0.0894734	−	0.0553996i
$481$	21.7594	−	13.4728i	0.992143	−	0.614309i
$482$	−1.23322	+	13.3085i	−0.0561715	+	0.606187i
$483$	6.35639	−	5.79461i	0.289226	−	0.263664i
$484$	−1.13468	−	3.98798i	−0.0515762	−	0.181272i
$485$	−14.7481	+	13.4447i	−0.669679	+	0.610493i
$486$	0.739009	+	0.673696i	0.0335221	+	0.0305595i
$487$	7.10392	−	14.2666i	0.321909	−	0.646481i	−0.673810	−	0.738904i	$-0.735344\pi$
$487$	7.10392	−	14.2666i	0.321909	−	0.646481i	0.995720	+	0.0924230i	$0.0294612\pi$
$488$	−0.992221	+	10.7078i	−0.0449157	+	0.484718i
$489$	−10.6701	−	14.1295i	−0.482519	−	0.638959i
$490$	−1.25031	−	13.4930i	−0.0564832	−	0.609551i
$491$	3.82274	+	3.48489i	0.172518	+	0.157271i	0.755350	−	0.655322i	$-0.227467\pi$
$491$	3.82274	+	3.48489i	0.172518	+	0.157271i	−0.582832	+	0.812593i	$0.698055\pi$
$492$	3.20356	−	6.43362i	0.144428	−	0.290050i
$493$	13.0495	−	17.2803i	0.587720	−	0.778267i
$494$	−11.4451	−	4.43385i	−0.514939	−	0.199488i
$495$	−8.82021	+	1.64878i	−0.396439	+	0.0741073i
$496$	8.48444	−	5.25334i	0.380963	−	0.235882i
$497$	3.78665	−	5.01434i	0.169855	−	0.224924i
$498$	−1.38665	−	14.9643i	−0.0621371	−	0.670567i
$499$	2.97056	+	10.4404i	0.132981	+	0.467379i	0.999495	−	0.0317735i	$-0.0101155\pi$
$499$	2.97056	+	10.4404i	0.132981	+	0.467379i	−0.866514	+	0.499152i	$0.833645\pi$
$500$	2.95553	+	10.3876i	0.132175	+	0.464548i
$501$	−3.77208	−	4.99504i	−0.168524	−	0.223162i
$502$	−21.3157	+	3.98460i	−0.951367	+	0.177841i
$503$	−23.6415	+	9.15876i	−1.05412	+	0.408369i	−0.825061	−	0.565044i	$-0.808859\pi$
$503$	−23.6415	+	9.15876i	−1.05412	+	0.408369i	−0.229060	+	0.973412i	$0.573565\pi$
$504$	−0.472287	−	0.948481i	−0.0210374	−	0.0422487i
$505$	6.10327	−	21.4508i	0.271592	−	0.954546i
$506$	−14.0821	−	28.2806i	−0.626025	−	1.25723i
$507$	6.43003	+	1.20198i	0.285568	+	0.0533819i
$508$	11.6192	−	2.17200i	0.515518	−	0.0963670i
$509$	1.82682	−	19.7146i	0.0809725	−	0.873832i	−0.854271	−	0.519828i	$-0.825996\pi$
$509$	1.82682	−	19.7146i	0.0809725	−	0.873832i	0.935244	−	0.354005i	$-0.115180\pi$
$510$	−4.73879	−	4.31998i	−0.209837	−	0.191292i
$511$	8.95475	−	11.8580i	0.396135	−	0.524567i
$512$	−0.850217	−	0.526432i	−0.0375746	−	0.0232652i
$513$	−2.15275	−	4.32331i	−0.0950464	−	0.190879i
$514$	−18.6428			−0.822299
$515$	−23.0107	+	4.24661i	−1.01397	+	0.187128i
$516$	3.13294			0.137920
$517$	−12.4551	−	25.0131i	−0.547773	−	1.10008i
$518$	−9.07202	−	5.61716i	−0.398602	−	0.246804i
$519$	−6.51533	+	8.62768i	−0.285991	+	0.378713i
$520$	4.33015	+	3.94745i	0.189890	+	0.173107i
$521$	−0.197665	+	2.13315i	−0.00865988	+	0.0934550i	−0.998967	−	0.0454392i	$-0.985531\pi$
$521$	−0.197665	+	2.13315i	−0.00865988	+	0.0934550i	0.990307	+	0.138894i	$0.0443548\pi$
$522$	−7.65329	+	1.43065i	−0.334975	+	0.0626177i
$523$	11.3213	+	2.11632i	0.495046	+	0.0925401i	0.425351	−	0.905028i	$-0.360151\pi$
$523$	11.3213	+	2.11632i	0.495046	+	0.0925401i	0.0696944	+	0.997568i	$0.477798\pi$
$524$	7.09042	+	14.2395i	0.309747	+	0.622055i
$525$	0.0915720	−	0.321842i	0.00399653	−	0.0140464i
$526$	−4.72178	−	9.48261i	−0.205879	−	0.413462i
$527$	25.8799	−	10.0259i	1.12735	−	0.436737i
$528$	−3.82555	+	0.715120i	−0.166486	+	0.0311216i
$529$	−25.8515	−	34.2329i	−1.12398	−	1.48839i
$530$	3.20241	+	11.2553i	0.139104	+	0.488899i
$531$	1.00059	+	3.51672i	0.0434221	+	0.152613i
$532$	0.472164	+	5.09547i	0.0204709	+	0.220916i
$533$	−11.0072	+	14.5759i	−0.476774	+	0.631350i
$534$	1.20242	−	0.744509i	0.0520339	−	0.0322180i
$535$	−3.30511	+	0.617832i	−0.142892	+	0.0267112i
$536$	8.55882	+	3.31571i	0.369685	+	0.143217i
$537$	−8.47383	+	11.2212i	−0.365673	+	0.484229i
$538$	4.56424	−	9.16623i	0.196778	−	0.395184i
$539$	−16.9037	−	15.4098i	−0.728095	−	0.663746i
$540$	0.212734	+	2.29577i	0.00915462	+	0.0987941i
$541$	−5.43808	−	7.20118i	−0.233801	−	0.309603i	0.665958	−	0.745989i	$-0.268023\pi$
$541$	−5.43808	−	7.20118i	−0.233801	−	0.309603i	−0.899759	+	0.436386i	$0.856258\pi$
$542$	1.87230	−	20.2053i	0.0804221	−	0.867893i
$543$	1.70105	−	3.41618i	0.0729992	−	0.146602i
$544$	−2.05534	−	1.87369i	−0.0881219	−	0.0803337i
$545$	26.0783	−	23.7735i	1.11707	−	1.01834i
$546$	0.736904	+	2.58995i	0.0315366	+	0.110840i
$547$	−9.72416	+	8.86474i	−0.415775	+	0.379029i	−0.854378	−	0.519652i	$-0.826062\pi$
$547$	−9.72416	+	8.86474i	−0.415775	+	0.379029i	0.438603	+	0.898681i	$0.355473\pi$
$548$	−0.639109	+	6.89708i	−0.0273014	+	0.294629i
$549$	9.14293	−	5.66106i	0.390211	−	0.241608i
$550$	−1.04497	−	0.647017i	−0.0445576	−	0.0275889i
$551$	36.9626	+	6.90950i	1.57466	+	0.294355i
$552$	−7.56955	+	2.93246i	−0.322182	+	0.124814i
$553$	3.46252	+	2.14390i	0.147241	+	0.0911679i
$554$	−8.14779	−	3.15647i	−0.346166	−	0.134106i
$555$	13.9922	+	18.5287i	0.593937	+	0.786499i
$556$	3.49692	−	3.18787i	0.148303	−	0.135196i
$557$	1.37079	+	14.7932i	0.0580823	+	0.626808i	0.974168	+	0.225825i	$0.0725078\pi$
$557$	1.37079	+	14.7932i	0.0580823	+	0.626808i	−0.916086	+	0.400983i	$0.868669\pi$
$558$	−9.30528	−	3.60488i	−0.393924	−	0.152607i
$559$	−7.82641	−	1.46301i	−0.331022	−	0.0618787i
$560$	0.668539	−	2.34967i	0.0282509	−	0.0992918i
$561$	−10.8240			−0.456988
$562$	4.83128			0.203795
$563$	3.65312	−	12.8394i	0.153960	−	0.541115i	−0.846008	−	0.533170i	$-0.821001\pi$
$563$	3.65312	−	12.8394i	0.153960	−	0.541115i	0.999968	−	0.00794462i	$-0.00252888\pi$
$564$	−6.69498	+	2.59365i	−0.281909	+	0.109212i
$565$	34.3191	−	21.2495i	1.44381	−	0.893972i
$566$	−7.75467	+	15.5735i	−0.325953	+	0.654602i
$567$	−0.472287	+	0.948481i	−0.0198342	+	0.0398325i
$568$	−5.04202	+	3.12189i	−0.211559	+	0.130992i
$569$	−40.5107	+	15.6939i	−1.69830	+	0.657924i	−0.998412	−	0.0563310i	$-0.982060\pi$
$569$	−40.5107	+	15.6939i	−1.69830	+	0.657924i	−0.699886	+	0.714255i	$0.746766\pi$
$570$	3.04730	−	10.7101i	0.127637	−	0.448598i
$571$	−37.2680			−1.55962			−0.779809	−	0.626018i	$-0.784684\pi$
$571$	−37.2680			−1.55962			−0.779809	+	0.626018i	$0.784684\pi$
$572$	9.89057			0.413546
$573$	2.58641	−	9.09028i	0.108049	−	0.379752i
$574$	7.48550	+	1.39928i	0.312439	+	0.0584049i
$575$	−2.39051	−	0.926089i	−0.0996912	−	0.0386206i
$576$	0.0922684	+	0.995734i	0.00384451	+	0.0414889i
$577$	−14.8512	+	13.5386i	−0.618262	+	0.563620i	−0.921053	−	0.389437i	$-0.872670\pi$
$577$	−14.8512	+	13.5386i	−0.618262	+	0.563620i	0.302792	+	0.953057i	$0.402081\pi$
$578$	5.58334	+	7.39353i	0.232236	+	0.307531i
$579$	−6.57785	−	2.54827i	−0.273366	−	0.105903i
$580$	−15.2623	−	9.45003i	−0.633734	−	0.392391i
$581$	14.8483	−	5.75224i	0.616009	−	0.238643i
$582$	8.50834	+	1.59048i	0.352682	+	0.0659277i
$583$	16.7942	+	10.3985i	0.695543	+	0.430662i
$584$	−11.9235	+	7.38270i	−0.493397	+	0.305498i
$585$	0.540638	−	5.83441i	0.0223526	−	0.241223i
$586$	−2.93172	+	2.67261i	−0.121108	+	0.110405i
$587$	−4.24001	−	14.9021i	−0.175004	−	0.615075i	−0.998836	−	0.0482410i	$-0.984638\pi$
$587$	−4.24001	−	14.9021i	−0.175004	−	0.615075i	0.823832	−	0.566835i	$-0.191832\pi$
$588$	−4.34340	+	3.95953i	−0.179119	+	0.163288i
$589$	35.6170	+	32.4692i	1.46757	+	1.33787i
$590$	−3.75756	+	7.54620i	−0.154696	+	0.310672i
$591$	1.93478	−	20.8796i	0.0795862	−	0.858872i
$592$	6.06879	+	8.03637i	0.249426	+	0.330293i
$593$	−1.07090	−	11.5569i	−0.0439767	−	0.474584i	−0.989035	−	0.147682i	$-0.952819\pi$
$593$	−1.07090	−	11.5569i	−0.0439767	−	0.474584i	0.945058	−	0.326902i	$-0.106005\pi$
$594$	2.87609	+	2.62190i	0.118007	+	0.107578i
$595$	3.02848	−	6.08200i	0.124155	−	0.249338i
$596$	2.93027	−	3.88031i	0.120029	−	0.158944i
$597$	−4.94585	−	1.91603i	−0.202420	−	0.0784179i
$598$	20.2789	−	3.79079i	0.829267	−	0.155017i
$599$	1.71529	−	1.06206i	0.0700850	−	0.0433948i	−0.490942	−	0.871192i	$-0.663347\pi$
$599$	1.71529	−	1.06206i	0.0700850	−	0.0433948i	0.561027	+	0.827797i	$0.310406\pi$
$600$	−0.190316	+	0.252019i	−0.00776961	+	0.0102886i
$601$	−1.13848	−	12.2861i	−0.0464394	−	0.501161i	−0.986908	−	0.161282i	$-0.948437\pi$
$601$	−1.13848	−	12.2861i	−0.0464394	−	0.501161i	0.940469	−	0.339879i	$-0.110386\pi$
$602$	0.908436	+	3.19282i	0.0370251	+	0.130130i
$603$	−2.51185	−	8.82825i	−0.102291	−	0.359514i
$604$	4.02677	+	5.33230i	0.163847	+	0.216968i
$605$	−9.39686	+	1.75658i	−0.382037	+	0.0714150i
$606$	−9.01982	+	3.49430i	−0.366405	+	0.141946i
$607$	11.1572	+	22.4067i	0.452858	+	0.909461i	0.997491	+	0.0707872i	$0.0225511\pi$
$607$	11.1572	+	22.4067i	0.452858	+	0.909461i	−0.544633	+	0.838674i	$0.683331\pi$
$608$	1.32169	−	4.64527i	0.0536017	−	0.188390i
$609$	−3.67716	−	7.38473i	−0.149006	−	0.299245i
$610$	24.3715	+	4.55582i	0.986772	+	0.184460i
$611$	17.9359	−	3.35281i	0.725610	−	0.135640i
$612$	−0.256618	+	2.76934i	−0.0103731	+	0.111944i
$613$	−3.02185	−	2.75478i	−0.122051	−	0.111265i	0.610369	−	0.792117i	$-0.291021\pi$
$613$	−3.02185	−	2.75478i	−0.122051	−	0.111265i	−0.732420	+	0.680853i	$0.761609\pi$
$614$	11.3874	−	15.0794i	0.459558	−	0.608553i
$615$	−14.0886	−	8.72328i	−0.568107	−	0.351757i
$616$	−1.83806	−	3.69132i	−0.0740574	−	0.148727i
$617$	−39.1717			−1.57699			−0.788496	−	0.615039i	$-0.789140\pi$
$617$	−39.1717			−1.57699			−0.788496	+	0.615039i	$0.789140\pi$
$618$	7.48435	+	6.85452i	0.301065	+	0.275729i
$619$	−23.7230			−0.953508			−0.476754	−	0.879037i	$-0.658187\pi$
$619$	−23.7230			−0.953508			−0.476754	+	0.879037i	$0.658187\pi$
$620$	−10.2555	−	20.5959i	−0.411872	−	0.827150i
$621$	6.90183	+	4.27343i	0.276961	+	0.171487i
$622$	−12.9181	+	17.1063i	−0.517968	+	0.685900i
$623$	1.10740	+	1.00953i	0.0443669	+	0.0404458i
$624$	0.234489	−	2.53053i	0.00938705	−	0.101302i
$625$	26.0284	−	4.86556i	1.04114	−	0.194622i
$626$	3.83109	+	0.716155i	0.153121	+	0.0286233i
$627$	−8.37813	−	16.8255i	−0.334590	−	0.671948i
$628$	4.86658	−	17.1042i	0.194198	−	0.682534i
$629$	12.4842	+	25.0717i	0.497778	+	0.999674i
$630$	−2.27796	+	0.882488i	−0.0907562	+	0.0351592i
$631$	8.04030	−	1.50299i	0.320079	−	0.0598332i	−0.0212581	−	0.999774i	$-0.506767\pi$
$631$	8.04030	−	1.50299i	0.320079	−	0.0598332i	0.341337	+	0.939941i	$0.389120\pi$
$632$	−2.31627	−	3.06724i	−0.0921364	−	0.122008i
$633$	5.80814	+	20.4135i	0.230853	+	0.811364i
$634$	−9.25981	−	32.5449i	−0.367754	−	1.29252i
$635$	−2.51462	−	27.1370i	−0.0997895	−	1.07690i
$636$	3.05865	−	4.05031i	0.121283	−	0.160605i
$637$	12.6993	−	7.86305i	0.503163	−	0.311546i
$638$	−29.7852	+	5.56782i	−1.17921	+	0.220432i
$639$	5.52982	+	2.14226i	0.218756	+	0.0847466i
$640$	−1.38944	+	1.83991i	−0.0549223	+	0.0727289i
$641$	7.58158	−	15.2259i	0.299454	−	0.601385i	−0.693422	−	0.720531i	$-0.743898\pi$
$641$	7.58158	−	15.2259i	0.299454	−	0.601385i	0.992877	+	0.119146i	$0.0380157\pi$
$642$	1.07773	+	0.982480i	0.0425346	+	0.0387754i
$643$	−3.32892	−	35.9247i	−0.131280	−	1.41673i	−0.765428	−	0.643522i	$-0.777472\pi$
$643$	−3.32892	−	35.9247i	−0.131280	−	1.41673i	0.634148	−	0.773212i	$-0.281351\pi$
$644$	−5.18340	−	6.86393i	−0.204255	−	0.270477i
$645$	0.666484	−	7.19250i	0.0262428	−	0.283205i
$646$	5.98725	−	12.0240i	0.235565	−	0.473079i
$647$	26.4927	+	24.1513i	1.04153	+	0.949484i	0.998769	−	0.0496010i	$-0.0157950\pi$
$647$	26.4927	+	24.1513i	1.04153	+	0.949484i	0.0427653	+	0.999085i	$0.486383\pi$
$648$	0.739009	−	0.673696i	0.0290310	−	0.0264653i
$649$	3.89413	+	13.6864i	0.152858	+	0.537240i
$650$	0.593115	−	0.540696i	0.0232639	−	0.0212078i
$651$	0.975602	−	10.5284i	0.0382368	−	0.412641i
$652$	−15.0538	+	9.32089i	−0.589551	+	0.365034i
$653$	−5.49366	−	3.40153i	−0.214984	−	0.133112i	0.414716	−	0.909951i	$-0.363881\pi$
$653$	−5.49366	−	3.40153i	−0.214984	−	0.133112i	−0.629700	+	0.776839i	$0.716822\pi$
$654$	−15.0448	−	2.81236i	−0.588298	−	0.109972i
$655$	34.1989	−	13.2487i	1.33626	−	0.517671i
$656$	−6.11058	−	3.78351i	−0.238578	−	0.147721i
$657$	13.0770	+	5.06606i	0.510183	+	0.197646i
$658$	−4.58452	−	6.07088i	−0.178723	−	0.236668i
$659$	5.32230	−	4.85191i	0.207327	−	0.189004i	−0.563371	−	0.826204i	$-0.690496\pi$
$659$	5.32230	−	4.85191i	0.207327	−	0.189004i	0.770698	+	0.637200i	$0.219908\pi$
$660$	0.827923	+	8.93471i	0.0322269	+	0.347783i
$661$	5.28415	+	2.04709i	0.205530	+	0.0796226i	0.461806	−	0.886981i	$-0.347202\pi$
$661$	5.28415	+	2.04709i	0.205530	+	0.0796226i	−0.256276	+	0.966604i	$0.582496\pi$
$662$	−7.47966	−	1.39819i	−0.290705	−	0.0543423i
$663$	1.93428	−	6.79827i	0.0751210	−	0.264023i
$664$	−15.0284			−0.583216
$665$	11.7985			0.457524
$666$	2.75590	−	9.68600i	0.106789	−	0.375325i
$667$	−58.9355	+	22.8317i	−2.28199	+	0.884048i
$668$	−5.32178	+	3.29511i	−0.205906	+	0.127491i
$669$	−1.88501	+	3.78560i	−0.0728786	+	0.146360i
$670$	9.43285	−	18.9437i	0.364423	−	0.731859i
$671$	35.5826	−	22.0318i	1.37365	−	0.850529i
$672$	−0.988012	+	0.382758i	−0.0381134	+	0.0147652i
$673$	−3.29511	+	11.5811i	−0.127017	+	0.446419i	−0.999076	−	0.0429824i	$-0.986314\pi$
$673$	−3.29511	+	11.5811i	−0.127017	+	0.446419i	0.872059	+	0.489401i	$0.162785\pi$
$674$	20.8107			0.801599
$675$	0.315806			0.0121554
$676$	1.79014	−	6.29170i	0.0688516	−	0.241988i
$677$	4.32376	+	0.808250i	0.166175	+	0.0310636i	0.266180	−	0.963923i	$-0.414239\pi$
$677$	4.32376	+	0.808250i	0.166175	+	0.0310636i	−0.100004	+	0.994987i	$0.531886\pi$
$678$	−16.3251	−	6.32439i	−0.626963	−	0.242887i
$679$	0.846218	+	9.13215i	0.0324749	+	0.350460i
$680$	−4.73879	+	4.31998i	−0.181724	+	0.165664i
$681$	6.71927	+	8.89776i	0.257483	+	0.340963i
$682$	−36.2145	−	14.0296i	−1.38672	−	0.537220i
$683$	−40.4698	−	25.0578i	−1.54853	−	0.958811i	−0.991755	−	0.128150i	$-0.959096\pi$
$683$	−40.4698	−	25.0578i	−1.54853	−	0.958811i	−0.556778	−	0.830661i	$-0.687963\pi$
$684$	−4.50350	+	1.74466i	−0.172196	+	0.0667089i
$685$	15.6981	+	2.93449i	0.599795	+	0.112121i
$686$	−11.6006	−	7.18281i	−0.442914	−	0.274241i
$687$	−14.4134	+	8.92442i	−0.549907	+	0.340488i
$688$	0.289071	−	3.11958i	0.0110207	−	0.118933i
$689$	−9.53223	+	8.68978i	−0.363149	+	0.331054i
$690$	5.12195	+	18.0018i	0.194989	+	0.685316i
$691$	12.2376	−	11.1560i	0.465539	−	0.424395i	−0.406635	−	0.913591i	$-0.633298\pi$
$691$	12.2376	−	11.1560i	0.465539	−	0.424395i	0.872174	+	0.489196i	$0.162710\pi$
$692$	7.98972	+	7.28359i	0.303724	+	0.276881i
$693$	−1.83806	+	3.69132i	−0.0698220	+	0.140222i
$694$	−0.849468	+	9.16722i	−0.0322454	+	0.347983i
$695$	−6.57469	−	8.70629i	−0.249392	−	0.330249i
$696$	0.718388	+	7.75264i	0.0272304	+	0.293863i
$697$	−14.7719	−	13.4664i	−0.559525	−	0.510075i
$698$	−10.6424	+	21.3729i	−0.402822	+	0.808975i
$699$	4.21347	−	5.57954i	0.159368	−	0.211038i
$700$	−0.312020	−	0.120877i	−0.0117933	−	0.00456873i
$701$	26.8457	−	5.01833i	1.01395	−	0.189540i	0.349549	−	0.936918i	$-0.386335\pi$
$701$	26.8457	−	5.01833i	1.01395	−	0.189540i	0.664398	+	0.747379i	$0.268688\pi$
$702$	−2.16072	+	1.33786i	−0.0815512	+	0.0504943i
$703$	−29.3100	+	38.8127i	−1.10545	+	1.46385i
$704$	0.359092	+	3.87522i	0.0135338	+	0.146053i
$705$	4.53016	+	15.9219i	0.170616	+	0.599652i
$706$	−2.15744	−	7.58261i	−0.0811962	−	0.285375i
$707$	−6.17650	−	8.17900i	−0.232291	−	0.307603i
$708$	3.59404	−	0.671843i	0.135072	−	0.0252494i
$709$	−33.4006	+	12.9395i	−1.25439	+	0.485952i	−0.894510	−	0.447048i	$-0.852475\pi$
$709$	−33.4006	+	12.9395i	−1.25439	+	0.485952i	−0.359876	+	0.933000i	$0.617181\pi$
$710$	6.09452	+	12.2394i	0.228723	+	0.459338i
$711$	−1.05184	+	3.69685i	−0.0394473	+	0.138643i
$712$	−0.630387	−	1.26599i	−0.0236248	−	0.0474449i
$713$	−79.6287	−	14.8852i	−2.98212	−	0.557454i
$714$	−2.89669	+	0.541484i	−0.108406	+	0.0202645i
$715$	2.10406	−	22.7065i	0.0786875	−	0.849174i
$716$	10.3914	+	9.47304i	0.388346	+	0.354024i
$717$	7.83989	−	10.3817i	0.292786	−	0.387711i
$718$	18.9352	+	11.7242i	0.706657	+	0.437543i
$719$	−13.6538	−	27.4205i	−0.509201	−	1.02261i	−0.989368	−	0.145436i	$-0.953542\pi$
$719$	−13.6538	−	27.4205i	−0.509201	−	1.02261i	0.480167	−	0.877177i	$-0.340576\pi$
$720$	2.30560			0.0859248
$721$	−4.81536	+	9.61496i	−0.179333	+	0.358080i
$722$	4.32536			0.160973
$723$	−5.95754	−	11.9643i	−0.221563	−	0.444959i
$724$	−3.24465	−	2.00900i	−0.120586	−	0.0746640i
$725$	−1.48177	+	1.96218i	−0.0550316	+	0.0728736i
$726$	3.06412	+	2.79332i	0.113720	+	0.103670i
$727$	−2.60940	+	28.1600i	−0.0967775	+	1.04440i	0.799430	+	0.600760i	$0.205135\pi$
$727$	−2.60940	+	28.1600i	−0.0967775	+	1.04440i	−0.896207	+	0.443636i	$0.853688\pi$
$728$	2.64690	−	0.494790i	0.0981005	−	0.0183382i
$729$	−0.982973	−	0.183750i	−0.0364064	−	0.00680554i
$730$	14.4124	+	28.9441i	0.533428	+	1.07127i
$731$	2.38452	−	8.38073i	0.0881948	−	0.309973i
$732$	−4.79331	−	9.62626i	−0.177166	−	0.355797i
$733$	42.8271	−	16.5913i	1.58186	−	0.612814i	0.599590	−	0.800307i	$-0.295330\pi$
$733$	42.8271	−	16.5913i	1.58186	−	0.612814i	0.982266	+	0.187493i	$0.0600361\pi$
$734$	31.0037	−	5.79559i	1.14437	−	0.213919i
$735$	8.16617	+	10.8138i	0.301214	+	0.398872i
$736$	2.22152	+	7.80784i	0.0818864	+	0.287801i
$737$	−9.77568	−	34.3580i	−0.360092	−	1.26559i
$738$	0.663141	+	7.15643i	0.0244105	+	0.263432i
$739$	22.0627	−	29.2157i	0.811588	−	1.07472i	−0.184187	−	0.982891i	$-0.558965\pi$
$739$	22.0627	−	29.2157i	0.811588	−	1.07472i	0.995775	−	0.0918247i	$-0.0292699\pi$
$740$	19.7407	−	12.2229i	0.725682	−	0.449323i
$741$	12.0649	−	2.25533i	0.443216	−	0.0828515i
$742$	5.01462	+	1.94267i	0.184093	+	0.0713178i
$743$	3.81235	−	5.04836i	0.139861	−	0.185206i	−0.722695	−	0.691167i	$-0.757097\pi$
$743$	3.81235	−	5.04836i	0.139861	−	0.185206i	0.862557	+	0.505960i	$0.168862\pi$
$744$	−4.44809	+	8.93297i	−0.163075	+	0.327498i
$745$	−8.28492	−	7.55271i	−0.303536	−	0.276710i
$746$	−0.570960	−	6.16164i	−0.0209043	−	0.225594i
$747$	9.05664	+	11.9929i	0.331365	+	0.438798i
$748$	−0.998709	+	10.7778i	−0.0365164	+	0.394075i
$749$	−0.688757	+	1.38321i	−0.0251666	+	0.0505414i
$750$	−7.98122	−	7.27584i	−0.291433	−	0.265676i
$751$	−39.9949	+	36.4602i	−1.45944	+	1.33045i	−0.623228	+	0.782041i	$0.714179\pi$
$751$	−39.9949	+	36.4602i	−1.45944	+	1.33045i	−0.836209	+	0.548411i	$0.815233\pi$
$752$	1.96485	+	6.90573i	0.0716507	+	0.251826i
$753$	16.0254	−	14.6091i	0.583997	−	0.532383i
$754$	1.82569	−	19.7024i	0.0664878	−	0.717518i
$755$	13.0984	−	8.11017i	0.476698	−	0.295159i
$756$	0.900858	+	0.557787i	0.0327639	+	0.0202865i
$757$	−11.2684	−	2.10643i	−0.409557	−	0.0765594i	−0.0250604	−	0.999686i	$-0.507978\pi$
$757$	−11.2684	−	2.10643i	−0.409557	−	0.0765594i	−0.384496	+	0.923127i	$0.625625\pi$
$758$	−11.3416	+	4.39376i	−0.411946	+	0.159589i
$759$	26.8607	+	16.6314i	0.974981	+	0.603683i
$760$	−10.3833	−	4.02251i	−0.376641	−	0.145912i
$761$	13.0505	+	17.2817i	0.473081	+	0.626461i	0.970515	−	0.241041i	$-0.0774889\pi$
$761$	13.0505	+	17.2817i	0.473081	+	0.626461i	−0.497434	+	0.867502i	$0.665724\pi$
$762$	−8.73542	+	7.96339i	−0.316451	+	0.288483i
$763$	−1.49632	−	16.1478i	−0.0541703	−	0.584591i
$764$	−8.81286	−	3.41412i	−0.318838	−	0.123519i
$765$	6.30318	+	1.17827i	0.227892	+	0.0426004i
$766$	−8.29737	+	29.1622i	−0.299796	+	1.05367i
$767$	−9.29203			−0.335516
$768$	1.00000			0.0360844
$769$	−9.00499	+	31.6493i	−0.324728	+	1.14130i	0.611888	+	0.790945i	$0.290410\pi$
$769$	−9.00499	+	31.6493i	−0.324728	+	1.14130i	−0.936616	+	0.350357i	$0.886060\pi$
$770$	−8.86542	+	3.43448i	−0.319488	+	0.123770i
$771$	15.8504	−	9.81418i	0.570840	−	0.353449i
$772$	−3.14433	+	6.31466i	−0.113167	+	0.227270i
$773$	16.0165	−	32.1655i	0.576073	−	1.15691i	−0.395122	−	0.918628i	$-0.629298\pi$
$773$	16.0165	−	32.1655i	0.576073	−	1.15691i	0.971196	−	0.238283i	$-0.0765845\pi$
$774$	−2.66368	+	1.64928i	−0.0957440	+	0.0592822i
$775$	−2.93866	+	1.13844i	−0.105560	+	0.0408941i
$776$	2.36875	−	8.32529i	0.0850332	−	0.298861i
$777$	10.6702			0.382793
$778$	−15.8638			−0.568746
$779$	9.49912	−	33.3859i	0.340341	−	1.19618i
$780$	−5.75964	−	1.07666i	−0.206228	−	0.0385507i
$781$	21.5211	+	8.33730i	0.770084	+	0.298332i
$782$	2.08315	+	22.4808i	0.0744933	+	0.803911i
$783$	5.75382	−	5.24530i	0.205625	−	0.187452i
$784$	3.54188	+	4.69021i	0.126496	+	0.167507i
$785$	−38.2321	−	14.8112i	−1.36456	−	0.528634i
$786$	−13.5245	−	8.37403i	−0.482404	−	0.298692i
$787$	2.03045	−	0.786600i	0.0723777	−	0.0280393i	−0.324781	−	0.945789i	$-0.605290\pi$
$787$	2.03045	−	0.786600i	0.0723777	−	0.0280393i	0.397158	+	0.917750i	$0.369996\pi$
$788$	−20.6120	−	3.85305i	−0.734272	−	0.137259i
$789$	9.00649	+	5.57658i	0.320640	+	0.198532i
$790$	−7.53442	+	4.66512i	−0.268063	+	0.165977i
$791$	1.71159	−	18.4710i	0.0608572	−	0.656754i
$792$	2.87609	−	2.62190i	0.102197	−	0.0931652i
$793$	7.47895	+	26.2858i	0.265585	+	0.933435i
$794$	22.3681	−	20.3912i	0.793814	−	0.723657i
$795$	−8.64789	−	7.88359i	−0.306709	−	0.279602i
$796$	−2.36420	+	4.74796i	−0.0837969	+	0.168287i
$797$	0.787129	−	8.49448i	0.0278816	−	0.300890i	−0.970362	−	0.241654i	$-0.922310\pi$
$797$	0.787129	−	8.49448i	0.0278816	−	0.300890i	0.998244	−	0.0592358i	$-0.0188664\pi$
$798$	−3.08386	−	4.08369i	−0.109167	−	0.144561i
$799$	1.84247	+	19.8834i	0.0651818	+	0.703423i
$800$	0.233384	+	0.212757i	0.00825135	+	0.00752210i
$801$	−0.630387	+	1.26599i	−0.0222736	+	0.0447315i
$802$	−14.6906	+	19.4535i	−0.518743	+	0.686927i
$803$	50.8934	+	19.7162i	1.79599	+	0.695770i
$804$	−9.02235	+	1.68657i	−0.318194	+	0.0594807i
$805$	−16.8607	+	10.4397i	−0.594261	+	0.367951i
$806$	15.2833	−	20.2383i	0.538330	−	0.712865i
$807$	0.944803	+	10.1960i	0.0332586	+	0.358918i
$808$	2.64715	+	9.30375i	0.0931263	+	0.327305i
$809$	5.31545	+	18.6819i	0.186881	+	0.656819i	0.997463	+	0.0711932i	$0.0226807\pi$
$809$	5.31545	+	18.6819i	0.186881	+	0.656819i	−0.810581	+	0.585626i	$0.800849\pi$
$810$	−1.38944	−	1.83991i	−0.0488198	−	0.0646479i
$811$	−47.9795	+	8.96893i	−1.68479	+	0.314942i	−0.937088	−	0.349093i	$-0.886490\pi$
$811$	−47.9795	+	8.96893i	−1.68479	+	0.314942i	−0.747701	+	0.664035i	$0.768843\pi$
$812$	−7.69252	+	2.98010i	−0.269954	+	0.104581i
$813$	9.04487	+	18.1645i	0.317217	+	0.637058i
$814$	10.7255	−	37.6961i	0.375928	−	1.32125i
$815$	18.1962	+	36.5428i	0.637383	+	1.28004i
$816$	2.73385	+	0.511046i	0.0957040	+	0.0178902i
$817$	14.8733	−	2.78031i	0.520352	−	0.0972706i
$818$	−0.357269	+	3.85555i	−0.0124916	+	0.134806i
$819$	−1.98996	−	1.81409i	−0.0695349	−	0.0633894i
$820$	−9.98600	+	13.2236i	−0.348726	+	0.461788i
$821$	−1.93791	−	1.19991i	−0.0676337	−	0.0418770i	0.492199	−	0.870483i	$-0.336193\pi$
$821$	−1.93791	−	1.19991i	−0.0676337	−	0.0418770i	−0.559832	+	0.828606i	$0.689134\pi$
$822$	−3.08747	−	6.20047i	−0.107688	−	0.216266i
$823$	12.9482			0.451347			0.225674	−	0.974203i	$-0.427542\pi$
$823$	12.9482			0.451347			0.225674	+	0.974203i	$0.427542\pi$
$824$	7.51585	−	6.81997i	0.261827	−	0.237585i
$825$	1.22906			0.0427904
$826$	1.72682	+	3.46793i	0.0600839	+	0.120665i
$827$	−33.3143	−	20.6273i	−1.15845	−	0.717283i	−0.193860	−	0.981029i	$-0.562101\pi$
$827$	−33.3143	−	20.6273i	−1.15845	−	0.717283i	−0.964592	+	0.263746i	$0.915042\pi$
$828$	4.89202	−	6.47809i	0.170010	−	0.225129i
$829$	−22.0271	−	20.0803i	−0.765033	−	0.697419i	0.193910	−	0.981019i	$-0.437883\pi$
$829$	−22.0271	−	20.0803i	−0.765033	−	0.697419i	−0.958943	+	0.283600i	$0.908471\pi$
$830$	−3.19706	+	34.5018i	−0.110972	+	1.19757i
$831$	8.58906	−	1.60557i	0.297951	−	0.0556967i
$832$	−2.49810	−	0.466977i	−0.0866062	−	0.0161895i
$833$	7.28607	+	14.6324i	0.252447	+	0.506983i
$834$	−1.29495	+	4.55127i	−0.0448404	+	0.157598i
$835$	6.43267	+	12.9186i	0.222612	+	0.447065i
$836$	−17.5268	+	6.78992i	−0.606177	+	0.234834i
$837$	9.80923	−	1.83366i	0.339057	−	0.0633807i
$838$	14.8561	+	19.6726i	0.513195	+	0.679579i
$839$	8.85140	+	31.1094i	0.305584	+	1.07402i	0.950746	+	0.309971i	$0.100319\pi$
$839$	8.85140	+	31.1094i	0.305584	+	1.07402i	−0.645162	+	0.764046i	$0.723210\pi$
$840$	0.668539	+	2.34967i	0.0230668	+	0.0810714i
$841$	2.91748	+	31.4847i	0.100603	+	1.08568i
$842$	20.2672	−	26.8381i	0.698455	−	0.924903i
$843$	−4.10764	+	2.54334i	−0.141475	+	0.0875974i
$844$	20.8623	−	3.89985i	0.718111	−	0.134238i
$845$	−14.0635	−	5.44821i	−0.483797	−	0.187424i
$846$	4.32681	−	5.72962i	0.148759	−	0.196988i
$847$	−1.95823	+	3.93265i	−0.0672854	+	0.135127i
$848$	−3.75082	−	3.41932i	−0.128804	−	0.117420i
$849$	−1.60523	−	17.3231i	−0.0550912	−	0.594529i
$850$	0.529308	+	0.700917i	0.0181551	+	0.0240412i
$851$	7.54284	−	81.4003i	0.258565	−	2.79036i
$852$	2.64335	−	5.30857i	0.0905598	−	0.181869i
$853$	18.6002	+	16.9563i	0.636859	+	0.580573i	0.926376	−	0.376599i	$-0.122907\pi$
$853$	18.6002	+	16.9563i	0.636859	+	0.580573i	−0.289518	+	0.957173i	$0.593495\pi$
$854$	8.42038	−	7.67619i	0.288139	−	0.262674i
$855$	3.04730	+	10.7101i	0.104215	+	0.366279i
$856$	1.07773	−	0.982480i	0.0368360	−	0.0335805i
$857$	−4.66820	+	50.3779i	−0.159463	+	1.72087i	0.421402	+	0.906874i	$0.361538\pi$
$857$	−4.66820	+	50.3779i	−0.159463	+	1.72087i	−0.580864	+	0.814001i	$0.697285\pi$
$858$	−8.40914	+	5.20672i	−0.287083	+	0.177754i
$859$	27.4649	+	17.0055i	0.937089	+	0.580221i	0.907824	−	0.419351i	$-0.137742\pi$
$859$	27.4649	+	17.0055i	0.937089	+	0.580221i	0.0292648	+	0.999572i	$0.490683\pi$
$860$	−7.10033	−	1.32728i	−0.242119	−	0.0452599i
$861$	−7.10093	+	2.75091i	−0.241999	+	0.0937509i
$862$	−8.04018	−	4.97827i	−0.273849	−	0.169560i
$863$	35.6640	+	13.8163i	1.21402	+	0.470312i	0.881229	−	0.472689i	$-0.156717\pi$
$863$	35.6640	+	13.8163i	1.21402	+	0.470312i	0.332787	+	0.943002i	$0.392011\pi$
$864$	−0.602635	−	0.798017i	−0.0205020	−	0.0271491i
$865$	18.4211	−	16.7931i	0.626337	−	0.570982i
$866$	1.24152	+	13.3982i	0.0421887	+	0.455289i
$867$	−8.63924	−	3.34686i	−0.293404	−	0.113665i
$868$	−10.3935	−	1.94288i	−0.352778	−	0.0659456i
$869$	−4.09359	+	14.3875i	−0.138866	+	0.488062i
$870$	17.9511			0.608599
$871$	23.3264			0.790384
$872$	−4.18852	+	14.7211i	−0.141841	+	0.498520i
$873$	−8.07122	+	3.12681i	−0.273169	+	0.105826i
$874$	−33.3333	+	20.6391i	−1.12752	+	0.698128i
$875$	5.10065	−	10.2435i	0.172434	−	0.346293i
$876$	6.25105	−	12.5538i	0.211203	−	0.424154i
$877$	−27.1804	+	16.8294i	−0.917816	+	0.568287i	−0.902071	−	0.431589i	$-0.857953\pi$
$877$	−27.1804	+	16.8294i	−0.917816	+	0.568287i	−0.0157451	+	0.999876i	$0.505012\pi$
$878$	−22.8916	+	8.86825i	−0.772554	+	0.299289i
$879$	1.08565	−	3.81565i	0.0366179	−	0.128699i
$880$	8.97299			0.302479
$881$	35.3514			1.19102			0.595509	−	0.803349i	$-0.296950\pi$
$881$	35.3514			1.19102			0.595509	+	0.803349i	$0.296950\pi$
$882$	1.60841	−	5.65297i	0.0541579	−	0.190345i
$883$	2.84730	+	0.532252i	0.0958192	+	0.0179117i	0.231441	−	0.972849i	$-0.425656\pi$
$883$	2.84730	+	0.532252i	0.0958192	+	0.0179117i	−0.135622	+	0.990761i	$0.543303\pi$
$884$	−6.59080	−	2.55329i	−0.221673	−	0.0858764i
$885$	−0.777820	−	8.39401i	−0.0261461	−	0.282162i
$886$	4.49280	−	4.09573i	0.150939	−	0.137599i
$887$	−1.02453	−	1.35670i	−0.0344005	−	0.0455536i	0.780492	−	0.625166i	$-0.214969\pi$
$887$	−1.02453	−	1.35670i	−0.0344005	−	0.0455536i	−0.814892	+	0.579612i	$0.803204\pi$
$888$	−9.39039	−	3.63786i	−0.315121	−	0.122079i
$889$	−10.6485	−	6.59330i	−0.357141	−	0.221132i
$890$	−3.04052	+	1.17790i	−0.101918	+	0.0394834i
$891$	−3.82555	−	0.715120i	−0.128161	−	0.0239574i
$892$	3.59553	+	2.22626i	0.120387	+	0.0745406i
$893$	−29.4820	+	18.2545i	−0.986578	+	0.610864i
$894$	−0.448649	+	4.84170i	−0.0150051	+	0.161931i
$895$	23.9585	−	21.8411i	0.800845	−	0.730067i
$896$	0.289963	+	1.01911i	0.00968698	+	0.0340462i
$897$	−15.2459	+	13.8985i	−0.509046	+	0.464056i
$898$	20.7831	+	18.9463i	0.693542	+	0.632247i
$899$	−34.6322	+	69.5508i	−1.15505	+	2.31965i
$900$	0.0291389	−	0.314459i	0.000971297	−	0.0104820i
$901$	−8.50675	−	11.2648i	−0.283401	−	0.375283i
$902$	2.58082	+	27.8515i	0.0859320	+	0.927354i
$903$	−2.45317	−	2.23636i	−0.0816365	−	0.0744215i
$904$	−7.80371	+	15.6720i	−0.259547	+	0.521242i
$905$	−5.30245	+	7.02158i	−0.176259	+	0.233405i
$906$	−6.23073	−	2.41380i	−0.207002	−	0.0801930i
$907$	34.9152	−	6.52679i	1.15934	−	0.216718i	0.431272	−	0.902222i	$-0.358065\pi$
$907$	34.9152	−	6.52679i	1.15934	−	0.216718i	0.728069	+	0.685504i	$0.240418\pi$
$908$	9.47978	−	5.86963i	0.314597	−	0.194791i
$909$	5.82929	−	7.71923i	0.193345	−	0.256031i
$910$	−0.572839	−	6.18192i	−0.0189894	−	0.204929i
$911$	−2.07801	−	7.30344i	−0.0688475	−	0.241974i	0.919762	−	0.392476i	$-0.128381\pi$
$911$	−2.07801	−	7.30344i	−0.0688475	−	0.241974i	−0.988610	+	0.150502i	$0.951911\pi$
$912$	1.32169	+	4.64527i	0.0437656	+	0.153820i
$913$	35.2468	+	46.6743i	1.16650	+	1.54469i
$914$	13.9427	−	2.60634i	0.461183	−	0.0862100i
$915$	−23.1194	+	8.95649i	−0.764303	+	0.296092i
$916$	7.55644	+	15.1754i	0.249672	+	0.501409i
$917$	4.61248	−	16.2112i	0.152318	−	0.535341i
$918$	−1.23969	−	2.48964i	−0.0409159	−	0.0821702i
$919$	−10.4769	−	1.95848i	−0.345602	−	0.0646043i	0.00808685	−	0.999967i	$-0.497426\pi$
$919$	−10.4769	−	1.95848i	−0.345602	−	0.0646043i	−0.353689	+	0.935363i	$0.615073\pi$
$920$	18.3976	−	3.43910i	0.606550	−	0.113384i
$921$	−1.74351	+	18.8154i	−0.0574504	+	0.619989i
$922$	−13.5152	−	12.3208i	−0.445100	−	0.405763i
$923$	−9.08234	+	12.0270i	−0.298949	+	0.395872i
$924$	3.50598	+	2.17081i	0.115338	+	0.0714143i
$925$	−1.41758	−	2.84689i	−0.0466098	−	0.0936052i
$926$	16.6192			0.546141
$927$	−9.97176	−	1.88783i	−0.327516	−	0.0620045i
$928$	7.78586			0.255583
$929$	9.05848	+	18.1919i	0.297199	+	0.596856i	0.992553	−	0.121811i	$-0.0388702\pi$
$929$	9.05848	+	18.1919i	0.297199	+	0.596856i	−0.695354	+	0.718667i	$0.744753\pi$
$930$	19.5618	+	12.1121i	0.641455	+	0.397172i
$931$	−17.1060	+	22.6520i	−0.560626	+	0.742389i
$932$	−5.16697	−	4.71032i	−0.169250	−	0.154292i
$933$	1.97787	−	21.3446i	0.0647524	−	0.698790i
$934$	−34.5620	+	6.46076i	−1.13090	+	0.211403i
$935$	24.5308	+	4.58561i	0.802244	+	0.149965i
$936$	1.13279	+	2.27495i	0.0370264	+	0.0743589i
$937$	−0.962578	+	3.38311i	−0.0314461	+	0.110521i	−0.975960	−	0.217950i	$-0.930063\pi$
$937$	−0.962578	+	3.38311i	−0.0314461	+	0.110521i	0.944514	+	0.328472i	$0.106534\pi$
$938$	−4.33495	−	8.70576i	−0.141541	−	0.284253i
$939$	−3.63426	+	1.40792i	−0.118600	+	0.0459458i
$940$	16.2719	−	3.04175i	0.530732	−	0.0992111i
$941$	−13.4739	−	17.8424i	−0.439238	−	0.581645i	0.523519	−	0.852014i	$-0.324619\pi$
$941$	−13.4739	−	17.8424i	−0.439238	−	0.581645i	−0.962757	+	0.270369i	$0.912854\pi$
$942$	4.86658	+	17.1042i	0.158562	+	0.557286i
$943$	15.9663	+	56.1156i	0.519933	+	1.82738i
$944$	−0.337361	−	3.64070i	−0.0109802	−	0.118495i
$945$	1.47219	−	1.94950i	0.0478905	−	0.0634172i
$946$	−10.3666	+	6.41870i	−0.337046	+	0.208690i
$947$	11.4203	−	2.13483i	0.371111	−	0.0693728i	0.00510977	−	0.999987i	$-0.498374\pi$
$947$	11.4203	−	2.13483i	0.371111	−	0.0693728i	0.366002	+	0.930614i	$0.380726\pi$
$948$	3.58403	+	1.38846i	0.116404	+	0.0450951i
$949$	−21.4781	+	28.4416i	−0.697209	+	0.923253i
$950$	−0.679853	+	1.36533i	−0.0220573	+	0.0442971i
$951$	25.0055	+	22.7955i	0.810859	+	0.739196i
$952$	0.271902	+	2.93429i	0.00881240	+	0.0951009i
$953$	−16.0398	−	21.2401i	−0.519579	−	0.688034i	0.460269	−	0.887780i	$-0.347753\pi$
$953$	−16.0398	−	21.2401i	−0.519579	−	0.688034i	−0.979848	+	0.199746i	$0.935988\pi$
$954$	−0.468305	+	5.05382i	−0.0151619	+	0.163623i
$955$	−9.71283	+	19.5060i	−0.314300	+	0.631199i
$956$	−9.61403	−	8.76435i	−0.310940	−	0.283459i
$957$	22.3928	−	20.4137i	0.723857	−	0.659883i
$958$	3.26332	+	11.4694i	0.105433	+	0.370559i
$959$	5.42373	−	4.94438i	0.175141	−	0.159662i
$960$	0.212734	−	2.29577i	0.00686597	−	0.0740956i
$961$	−58.3108	+	36.1045i	−1.88099	+	1.16466i
$962$	21.7594	+	13.4728i	0.701551	+	0.434382i
$963$	−1.43351	−	0.267970i	−0.0461943	−	0.00863521i
$964$	−12.4630	+	4.82819i	−0.401406	+	0.155506i
$965$	13.8281	+	8.56199i	0.445142	+	0.275620i
$966$	8.02041	+	3.10712i	0.258052	+	0.0999701i
$967$	2.12101	+	2.80867i	0.0682071	+	0.0903208i	0.830842	−	0.556509i	$-0.187859\pi$
$967$	2.12101	+	2.80867i	0.0682071	+	0.0903208i	−0.762635	+	0.646829i	$0.776095\pi$
$968$	3.06412	−	2.79332i	0.0984846	−	0.0897806i
$969$	1.23937	+	13.3749i	0.0398143	+	0.429664i
$970$	−18.6090	−	7.20917i	−0.597500	−	0.231473i
$971$	−27.9597	−	5.22658i	−0.897270	−	0.167729i	−0.285140	−	0.958486i	$-0.592040\pi$
$971$	−27.9597	−	5.22658i	−0.897270	−	0.167729i	−0.612130	+	0.790757i	$0.709687\pi$
$972$	−0.273663	+	0.961826i	−0.00877774	+	0.0308506i
$973$	−5.01375			−0.160733
$974$	15.9374			0.510668
$975$	−0.219637	+	0.771944i	−0.00703401	+	0.0247220i
$976$	−10.0275	+	3.88466i	−0.320972	+	0.124345i
$977$	−6.59539	+	4.08369i	−0.211005	+	0.130649i	−0.627866	−	0.778321i	$-0.716071\pi$
$977$	−6.59539	+	4.08369i	−0.211005	+	0.130649i	0.416861	+	0.908970i	$0.363130\pi$
$978$	7.89214	−	15.8496i	0.252363	−	0.506813i
$979$	−2.45335	+	4.92700i	−0.0784095	+	0.157468i
$980$	11.5211	−	7.13357i	0.368028	−	0.227874i
$981$	14.2719	−	5.52895i	0.455665	−	0.176526i
$982$	−1.41560	+	4.97533i	−0.0451737	+	0.158769i
$983$	−43.7536			−1.39552			−0.697761	−	0.716331i	$-0.745820\pi$
$983$	−43.7536			−1.39552			−0.697761	+	0.716331i	$0.745820\pi$
$984$	7.18709			0.229116
$985$	−13.2306	+	46.5007i	−0.421562	+	1.48164i
$986$	21.2854	+	3.97893i	0.677865	+	0.126715i
$987$	7.09374	+	2.74813i	0.225796	+	0.0874740i
$988$	−1.13249	−	12.2216i	−0.0360294	−	0.388819i
$989$	−18.7947	+	17.1337i	−0.597638	+	0.544819i
$990$	−5.40744	−	7.16060i	−0.171860	−	0.227579i
$991$	−18.4582	−	7.15074i	−0.586343	−	0.227151i	0.0497513	−	0.998762i	$-0.484157\pi$
$991$	−18.4582	−	7.15074i	−0.586343	−	0.227151i	−0.636095	+	0.771611i	$0.719451\pi$
$992$	8.48444	+	5.25334i	0.269381	+	0.166794i
$993$	7.09539	−	2.74877i	0.225165	−	0.0872296i
$994$	6.17651	+	1.15459i	0.195907	+	0.0366214i
$995$	10.3973	+	6.43771i	0.329615	+	0.204089i
$996$	12.7774	−	7.91144i	0.404868	−	0.250684i
$997$	4.81851	−	52.0000i	0.152604	−	1.64686i	−0.483567	−	0.875308i	$-0.660659\pi$
$997$	4.81851	−	52.0000i	0.152604	−	1.64686i	0.636170	−	0.771549i	$-0.280518\pi$
$998$	−8.02181	+	7.31285i	−0.253926	+	0.231484i
$999$	2.75590	+	9.68600i	0.0871929	+	0.306451i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	618.2.i.b.229.2	✓	32
103.9	even	17	inner	618.2.i.b.421.2	yes	32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
618.2.i.b.229.2	✓	32	1.1	even	1	trivial
618.2.i.b.421.2	yes	32	103.9	even	17	inner

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:	\( N \)	\(=\)	\( 618 = 2 \cdot 3 \cdot 103 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	618.i (of order \(17\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(0.445738 + 0.895163i) q^{2} +(-0.850217 - 0.526432i) q^{3} +(-0.602635 + 0.798017i) q^{4} +(1.70386 + 1.55327i) q^{5} +(0.0922684 - 0.995734i) q^{6} +(1.04152 - 0.194694i) q^{7} +(-0.982973 - 0.183750i) q^{8} +(0.445738 + 0.895163i) q^{9} +O(q^{10})\)	\(q+(0.445738 + 0.895163i) q^{2} +(-0.850217 - 0.526432i) q^{3} +(-0.602635 + 0.798017i) q^{4} +(1.70386 + 1.55327i) q^{5} +(0.0922684 - 0.995734i) q^{6} +(1.04152 - 0.194694i) q^{7} +(-0.982973 - 0.183750i) q^{8} +(0.445738 + 0.895163i) q^{9} +(-0.630958 + 2.21759i) q^{10} +(1.73473 + 3.48381i) q^{11} +(0.932472 - 0.361242i) q^{12} +(-2.49810 + 0.466977i) q^{13} +(0.638529 + 0.845549i) q^{14} +(-0.630958 - 2.21759i) q^{15} +(-0.273663 - 0.961826i) q^{16} +(-0.256618 - 2.76934i) q^{17} +(-0.602635 + 0.798017i) q^{18} +(4.10624 - 2.54247i) q^{19} +(-2.26635 + 0.423653i) q^{20} +(-0.988012 - 0.382758i) q^{21} +(-2.34535 + 3.10574i) q^{22} +(-3.61838 + 7.26669i) q^{23} +(0.739009 + 0.673696i) q^{24} +(0.0291389 + 0.314459i) q^{25} +(-1.53152 - 2.02806i) q^{26} +(0.0922684 - 0.995734i) q^{27} +(-0.472287 + 0.948481i) q^{28} +(5.75382 + 5.24530i) q^{29} +(1.70386 - 1.55327i) q^{30} +(2.73092 + 9.59820i) q^{31} +(0.739009 - 0.673696i) q^{32} +(0.359092 - 3.87522i) q^{33} +(2.36463 - 1.46412i) q^{34} +(2.07702 + 1.28604i) q^{35} +(-0.982973 - 0.183750i) q^{36} +(-9.39039 + 3.63786i) q^{37} +(4.10624 + 2.54247i) q^{38} +(2.36976 + 0.918051i) q^{39} +(-1.38944 - 1.83991i) q^{40} +(5.31132 - 4.84191i) q^{41} +(-0.0977640 - 1.05504i) q^{42} +(2.92138 + 1.13175i) q^{43} +(-3.82555 - 0.715120i) q^{44} +(-0.630958 + 2.21759i) q^{45} -8.11773 q^{46} -7.17982 q^{47} +(-0.273663 + 0.961826i) q^{48} +(-5.48045 + 2.12314i) q^{49} +(-0.268504 + 0.166251i) q^{50} +(-1.23969 + 2.48964i) q^{51} +(1.13279 - 2.27495i) q^{52} +(4.31525 - 2.67189i) q^{53} +(0.932472 - 0.361242i) q^{54} +(-2.45558 + 8.63045i) q^{55} -1.05956 q^{56} -4.82963 q^{57} +(-2.13070 + 7.48864i) q^{58} +(3.59404 + 0.671843i) q^{59} +(2.14991 + 0.832880i) q^{60} +(-0.992221 - 10.7078i) q^{61} +(-7.37468 + 6.72291i) q^{62} +(0.638529 + 0.845549i) q^{63} +(0.932472 + 0.361242i) q^{64} +(-4.98177 - 3.08458i) q^{65} +(3.62901 - 1.40589i) q^{66} +(-9.02235 - 1.68657i) q^{67} +(2.36463 + 1.46412i) q^{68} +(6.90183 - 4.27343i) q^{69} +(-0.225405 + 2.43251i) q^{70} +(4.38253 - 3.99520i) q^{71} +(-0.273663 - 0.961826i) q^{72} +(10.3639 - 9.44793i) q^{73} +(-7.44214 - 6.78440i) q^{74} +(0.140767 - 0.282698i) q^{75} +(-0.445622 + 4.80903i) q^{76} +(2.48504 + 3.29072i) q^{77} +(0.234489 + 2.53053i) q^{78} +(2.84044 + 2.58940i) q^{79} +(1.02770 - 2.06389i) q^{80} +(-0.602635 + 0.798017i) q^{81} +(6.70176 + 2.59628i) q^{82} +(14.7725 - 2.76146i) q^{83} +(0.900858 - 0.557787i) q^{84} +(3.86431 - 5.11718i) q^{85} +(0.289071 + 3.11958i) q^{86} +(-2.13070 - 7.48864i) q^{87} +(-1.06505 - 3.74325i) q^{88} +(0.852278 + 1.12860i) q^{89} +(-2.26635 + 0.423653i) q^{90} +(-2.51091 + 0.972731i) q^{91} +(-3.61838 - 7.26669i) q^{92} +(2.73092 - 9.59820i) q^{93} +(-3.20032 - 6.42711i) q^{94} +(10.9456 + 2.04609i) q^{95} +(-0.982973 + 0.183750i) q^{96} +(-0.798649 + 8.61880i) q^{97} +(-4.34340 - 3.95953i) q^{98} +(-2.34535 + 3.10574i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q - 2 q^{2} - 2 q^{3} - 2 q^{4} + q^{5} - 2 q^{6} + 6 q^{7} - 2 q^{8} - 2 q^{9}+O(q^{10}) \) 32 * q - 2 * q^2 - 2 * q^3 - 2 * q^4 + q^5 - 2 * q^6 + 6 * q^7 - 2 * q^8 - 2 * q^9	\( 32 q - 2 q^{2} - 2 q^{3} - 2 q^{4} + q^{5} - 2 q^{6} + 6 q^{7} - 2 q^{8} - 2 q^{9} + q^{10} + 5 q^{11} - 2 q^{12} - 14 q^{13} + 6 q^{14} + q^{15} - 2 q^{16} + 32 q^{17} - 2 q^{18} - 3 q^{19} + q^{20} - 11 q^{21} - 12 q^{22} - 15 q^{23} - 2 q^{24} - 15 q^{25} - 31 q^{26} - 2 q^{27} + 6 q^{28} + 7 q^{29} + q^{30} + 6 q^{31} - 2 q^{32} + 5 q^{33} - 2 q^{34} + 41 q^{35} - 2 q^{36} - 13 q^{37} - 3 q^{38} - 14 q^{39} - 16 q^{40} - 5 q^{41} - 11 q^{42} - 3 q^{43} - 12 q^{44} + q^{45} - 66 q^{46} - 14 q^{47} - 2 q^{48} - 6 q^{49} - 15 q^{50} - 2 q^{51} + 20 q^{52} - 6 q^{53} - 2 q^{54} + 11 q^{55} + 6 q^{56} + 14 q^{57} + 24 q^{58} - 43 q^{59} + 18 q^{60} + 48 q^{61} + 6 q^{62} + 6 q^{63} - 2 q^{64} - 84 q^{65} + 5 q^{66} + 7 q^{67} - 2 q^{68} + 19 q^{69} - 10 q^{70} - 59 q^{71} - 2 q^{72} - 9 q^{73} + 21 q^{74} + 19 q^{75} - 3 q^{76} - 33 q^{77} + 20 q^{78} + 33 q^{79} + q^{80} - 2 q^{81} + 46 q^{82} + 71 q^{83} - 11 q^{84} + 42 q^{85} - 20 q^{86} + 24 q^{87} - 12 q^{88} - q^{89} + q^{90} + 50 q^{91} - 15 q^{92} + 6 q^{93} + 20 q^{94} - 5 q^{95} - 2 q^{96} - 61 q^{97} - 57 q^{98} - 12 q^{99}+O(q^{100}) \) 32 * q - 2 * q^2 - 2 * q^3 - 2 * q^4 + q^5 - 2 * q^6 + 6 * q^7 - 2 * q^8 - 2 * q^9 + q^10 + 5 * q^11 - 2 * q^12 - 14 * q^13 + 6 * q^14 + q^15 - 2 * q^16 + 32 * q^17 - 2 * q^18 - 3 * q^19 + q^20 - 11 * q^21 - 12 * q^22 - 15 * q^23 - 2 * q^24 - 15 * q^25 - 31 * q^26 - 2 * q^27 + 6 * q^28 + 7 * q^29 + q^30 + 6 * q^31 - 2 * q^32 + 5 * q^33 - 2 * q^34 + 41 * q^35 - 2 * q^36 - 13 * q^37 - 3 * q^38 - 14 * q^39 - 16 * q^40 - 5 * q^41 - 11 * q^42 - 3 * q^43 - 12 * q^44 + q^45 - 66 * q^46 - 14 * q^47 - 2 * q^48 - 6 * q^49 - 15 * q^50 - 2 * q^51 + 20 * q^52 - 6 * q^53 - 2 * q^54 + 11 * q^55 + 6 * q^56 + 14 * q^57 + 24 * q^58 - 43 * q^59 + 18 * q^60 + 48 * q^61 + 6 * q^62 + 6 * q^63 - 2 * q^64 - 84 * q^65 + 5 * q^66 + 7 * q^67 - 2 * q^68 + 19 * q^69 - 10 * q^70 - 59 * q^71 - 2 * q^72 - 9 * q^73 + 21 * q^74 + 19 * q^75 - 3 * q^76 - 33 * q^77 + 20 * q^78 + 33 * q^79 + q^80 - 2 * q^81 + 46 * q^82 + 71 * q^83 - 11 * q^84 + 42 * q^85 - 20 * q^86 + 24 * q^87 - 12 * q^88 - q^89 + q^90 + 50 * q^91 - 15 * q^92 + 6 * q^93 + 20 * q^94 - 5 * q^95 - 2 * q^96 - 61 * q^97 - 57 * q^98 - 12 * q^99

Introduction

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