LMFDB - Embedded newform 252.2.bj.b.103.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(103,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 2, 5]))

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

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

chi := DirichletCharacter("252.103");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.bj (of order $6$, degree $2$, 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:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			103.8
Character	$\chi$	$=$	252.103
Dual form			252.2.bj.b.115.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.16385 + 0.803396i) q^{2} +(0.477968 + 1.66480i) q^{3} +(0.709111 - 1.87007i) q^{4} +(0.121150 - 0.0699460i) q^{5} +(-1.89378 - 1.55358i) q^{6} +(2.50334 - 0.856310i) q^{7} +(0.677105 + 2.74618i) q^{8} +(-2.54309 + 1.59144i) q^{9} +O(q^{10})$	\(q+(-1.16385 + 0.803396i) q^{2} +(0.477968 + 1.66480i) q^{3} +(0.709111 - 1.87007i) q^{4} +(0.121150 - 0.0699460i) q^{5} +(-1.89378 - 1.55358i) q^{6} +(2.50334 - 0.856310i) q^{7} +(0.677105 + 2.74618i) q^{8} +(-2.54309 + 1.59144i) q^{9} +(-0.0848066 + 0.178738i) q^{10} +(4.80066 + 2.77166i) q^{11} +(3.45222 + 0.286691i) q^{12} +(0.0343058 + 0.0198065i) q^{13} +(-2.22557 + 3.00780i) q^{14} +(0.174352 + 0.168258i) q^{15} +(-2.99432 - 2.65217i) q^{16} +(-2.38588 + 1.37749i) q^{17} +(1.68123 - 3.89531i) q^{18} +(1.16353 - 2.01529i) q^{19} +(-0.0448951 - 0.276158i) q^{20} +(2.62210 + 3.75827i) q^{21} +(-7.81400 + 0.631020i) q^{22} +(-4.62277 + 2.66896i) q^{23} +(-4.24820 + 2.43983i) q^{24} +(-2.49022 + 4.31318i) q^{25} +(-0.0558394 + 0.00450931i) q^{26} +(-3.86494 - 3.47307i) q^{27} +(0.173788 - 5.28865i) q^{28} +(-1.26196 - 2.18578i) q^{29} +(-0.338098 - 0.0557544i) q^{30} +7.74180 q^{31} +(5.61570 + 0.681115i) q^{32} +(-2.31969 + 9.31688i) q^{33} +(1.67015 - 3.52000i) q^{34} +(0.243385 - 0.278841i) q^{35} +(1.17277 + 5.88427i) q^{36} +(1.58289 - 2.74164i) q^{37} +(0.264898 + 3.28027i) q^{38} +(-0.0165767 + 0.0665791i) q^{39} +(0.274116 + 0.285339i) q^{40} +(-0.965497 - 0.557430i) q^{41} +(-6.07112 - 2.26749i) q^{42} +(-7.88143 + 4.55034i) q^{43} +(8.58739 - 7.01215i) q^{44} +(-0.196781 + 0.370682i) q^{45} +(3.23600 - 6.82019i) q^{46} +7.63164 q^{47} +(2.98414 - 6.25259i) q^{48} +(5.53347 - 4.28728i) q^{49} +(-0.566944 - 7.02054i) q^{50} +(-3.43361 - 3.31361i) q^{51} +(0.0613661 - 0.0501093i) q^{52} +(-4.31672 - 7.47678i) q^{53} +(7.28848 + 0.937072i) q^{54} +0.775466 q^{55} +(4.04661 + 6.29483i) q^{56} +(3.91117 + 0.973791i) q^{57} +(3.22478 + 1.53007i) q^{58} +7.16882 q^{59} +(0.438289 - 0.206736i) q^{60} -9.96394i q^{61} +(-9.01032 + 6.21973i) q^{62} +(-5.00347 + 6.16160i) q^{63} +(-7.08306 + 3.71891i) q^{64} +0.00554154 q^{65} +(-4.78536 - 12.7071i) q^{66} +1.87383i q^{67} +(0.884147 + 5.43856i) q^{68} +(-6.65281 - 6.42029i) q^{69} +(-0.0592446 + 0.520064i) q^{70} -6.76960i q^{71} +(-6.09233 - 5.90623i) q^{72} +(11.0331 - 6.36998i) q^{73} +(0.360374 + 4.46256i) q^{74} +(-8.37081 - 2.08414i) q^{75} +(-2.94366 - 3.60494i) q^{76} +(14.3911 + 2.82757i) q^{77} +(-0.0341966 - 0.0908059i) q^{78} +1.69822i q^{79} +(-0.548271 - 0.111870i) q^{80} +(3.93464 - 8.09436i) q^{81} +(1.57153 - 0.126909i) q^{82} +(-6.67089 - 11.5543i) q^{83} +(8.88759 - 2.23848i) q^{84} +(-0.192700 + 0.333765i) q^{85} +(5.51710 - 11.6278i) q^{86} +(3.03569 - 3.14563i) q^{87} +(-4.36094 + 15.0602i) q^{88} +(-13.3763 - 7.72281i) q^{89} +(-0.0687802 - 0.589513i) q^{90} +(0.102840 + 0.0202060i) q^{91} +(1.71308 + 10.5375i) q^{92} +(3.70033 + 12.8885i) q^{93} +(-8.88212 + 6.13123i) q^{94} -0.325536i q^{95} +(1.55021 + 9.67455i) q^{96} +(-8.85713 + 5.11366i) q^{97} +(-2.99576 + 9.43533i) q^{98} +(-16.6194 + 0.591366i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{6}\right)$	$-1$

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 $

$2$	−1.16385	+	0.803396i	−0.822969	+	0.568087i
$2$	−1.16385	+	0.803396i	−0.822969	+	0.568087i
$3$	0.477968	+	1.66480i	0.275955	+	0.961171i
$3$	0.477968	+	1.66480i	0.275955	+	0.961171i
$4$	0.709111	−	1.87007i	0.354555	−	0.935035i
$5$	0.121150	−	0.0699460i	0.0541799	−	0.0312808i	−0.472665	−	0.881242i	$-0.656708\pi$
$5$	0.121150	−	0.0699460i	0.0541799	−	0.0312808i	0.526845	+	0.849961i	$0.323375\pi$
$6$	−1.89378	−	1.55358i	−0.773131	−	0.634247i
$7$	2.50334	−	0.856310i	0.946175	−	0.323655i
$7$	2.50334	−	0.856310i	0.946175	−	0.323655i
$8$	0.677105	+	2.74618i	0.239393	+	0.970923i
$9$	−2.54309	+	1.59144i	−0.847698	+	0.530480i
$10$	−0.0848066	+	0.178738i	−0.0268182	+	0.0565220i
$11$	4.80066	+	2.77166i	1.44745	+	0.835687i	0.998329	−	0.0577830i	$-0.0184032\pi$
$11$	4.80066	+	2.77166i	1.44745	+	0.835687i	0.449123	+	0.893470i	$0.351736\pi$
$12$	3.45222	+	0.286691i	0.996569	+	0.0827604i
$13$	0.0343058	+	0.0198065i	0.00951473	+	0.00549333i	0.504750	−	0.863266i	$-0.331585\pi$
$13$	0.0343058	+	0.0198065i	0.00951473	+	0.00549333i	−0.495235	+	0.868759i	$0.664918\pi$
$14$	−2.22557	+	3.00780i	−0.594809	+	0.803867i
$15$	0.174352	+	0.168258i	0.0450174	+	0.0434441i
$16$	−2.99432	−	2.65217i	−0.748581	−	0.663043i
$17$	−2.38588	+	1.37749i	−0.578661	+	0.334090i	−0.760601	−	0.649220i	$-0.775096\pi$
$17$	−2.38588	+	1.37749i	−0.578661	+	0.334090i	0.181940	+	0.983310i	$0.441762\pi$
$18$	1.68123	−	3.89531i	0.396270	−	0.918134i
$19$	1.16353	−	2.01529i	0.266931	−	0.462338i	−0.701137	−	0.713027i	$-0.747324\pi$
$19$	1.16353	−	2.01529i	0.266931	−	0.462338i	0.968068	+	0.250689i	$0.0806570\pi$
$20$	−0.0448951	−	0.276158i	−0.0100389	−	0.0617509i
$21$	2.62210	+	3.75827i	0.572189	+	0.820121i
$22$	−7.81400	+	0.631020i	−1.66595	+	0.134534i
$23$	−4.62277	+	2.66896i	−0.963914	+	0.556516i	−0.897375	−	0.441268i	$-0.854529\pi$
$23$	−4.62277	+	2.66896i	−0.963914	+	0.556516i	−0.0665385	+	0.997784i	$0.521196\pi$
$24$	−4.24820	+	2.43983i	−0.867161	+	0.498028i
$25$	−2.49022	+	4.31318i	−0.498043	+	0.862636i
$26$	−0.0558394	+	0.00450931i	−0.0109510	+	0.000884349i
$27$	−3.86494	−	3.47307i	−0.743808	−	0.668393i
$28$	0.173788	−	5.28865i	0.0328429	−	0.999461i
$29$	−1.26196	−	2.18578i	−0.234340	−	0.405888i	0.724741	−	0.689022i	$-0.241959\pi$
$29$	−1.26196	−	2.18578i	−0.234340	−	0.405888i	−0.959081	+	0.283133i	$0.908626\pi$
$30$	−0.338098	−	0.0557544i	−0.0617279	−	0.0101793i
$31$	7.74180			1.39047			0.695234	−	0.718784i	$-0.255301\pi$
$31$	7.74180			1.39047			0.695234	+	0.718784i	$0.255301\pi$
$32$	5.61570	+	0.681115i	0.992725	+	0.120405i
$33$	−2.31969	+	9.31688i	−0.403806	+	1.62186i
$34$	1.67015	−	3.52000i	0.286428	−	0.603675i
$35$	0.243385	−	0.278841i	0.0411395	−	0.0471327i
$36$	1.17277	+	5.88427i	0.195462	+	0.980711i
$37$	1.58289	−	2.74164i	0.260225	−	0.450724i	−0.706076	−	0.708136i	$-0.749536\pi$
$37$	1.58289	−	2.74164i	0.260225	−	0.450724i	0.966302	+	0.257412i	$0.0828698\pi$
$38$	0.264898	+	3.28027i	0.0429722	+	0.532130i
$39$	−0.0165767	+	0.0665791i	−0.00265439	+	0.0106612i
$40$	0.274116	+	0.285339i	0.0433415	+	0.0451161i
$41$	−0.965497	−	0.557430i	−0.150785	−	0.0870560i	0.422709	−	0.906265i	$-0.361079\pi$
$41$	−0.965497	−	0.557430i	−0.150785	−	0.0870560i	−0.573494	+	0.819209i	$0.694413\pi$
$42$	−6.07112	−	2.26749i	−0.936794	−	0.349881i
$43$	−7.88143	+	4.55034i	−1.20191	+	0.693921i	−0.960979	−	0.276622i	$-0.910785\pi$
$43$	−7.88143	+	4.55034i	−1.20191	+	0.693921i	−0.240927	+	0.970543i	$0.577452\pi$
$44$	8.58739	−	7.01215i	1.29460	−	1.05712i
$45$	−0.196781	+	0.370682i	−0.0293344	+	0.0552580i
$46$	3.23600	−	6.82019i	0.477122	−	1.00558i
$47$	7.63164			1.11319			0.556595	−	0.830784i	$-0.312108\pi$
$47$	7.63164			1.11319			0.556595	+	0.830784i	$0.312108\pi$
$48$	2.98414	−	6.25259i	0.430723	−	0.902484i
$49$	5.53347	−	4.28728i	0.790495	−	0.612468i
$50$	−0.566944	−	7.02054i	−0.0801779	−	0.992854i
$51$	−3.43361	−	3.31361i	−0.480802	−	0.463998i
$52$	0.0613661	−	0.0501093i	0.00850995	−	0.00694891i
$53$	−4.31672	−	7.47678i	−0.592947	−	1.02701i	−0.993833	−	0.110887i	$-0.964631\pi$
$53$	−4.31672	−	7.47678i	−0.592947	−	1.02701i	0.400886	−	0.916128i	$-0.368702\pi$
$54$	7.28848	+	0.937072i	0.991836	+	0.127519i
$55$	0.775466			0.104564
$56$	4.04661	+	6.29483i	0.540751	+	0.841182i
$57$	3.91117	+	0.973791i	0.518047	+	0.128982i
$58$	3.22478	+	1.53007i	0.423434	+	0.200908i
$59$	7.16882			0.933301			0.466651	−	0.884442i	$-0.345461\pi$
$59$	7.16882			0.933301			0.466651	+	0.884442i	$0.345461\pi$
$60$	0.438289	−	0.206736i	0.0565829	−	0.0266895i
$61$		−	9.96394i		−	1.27575i	−0.770139	−	0.637876i	$-0.779813\pi$
$61$		−	9.96394i		−	1.27575i	0.770139	−	0.637876i	$-0.220187\pi$
$62$	−9.01032	+	6.21973i	−1.14431	+	0.789906i
$63$	−5.00347	+	6.16160i	−0.630378	+	0.776288i
$64$	−7.08306	+	3.71891i	−0.885382	+	0.464864i
$65$	0.00554154			0.000687343
$66$	−4.78536	−	12.7071i	−0.589038	−	1.56414i
$67$			1.87383i			0.228925i	0.993428	+	0.114462i	$0.0365145\pi$
$67$			1.87383i			0.228925i	−0.993428	+	0.114462i	$0.963485\pi$
$68$	0.884147	+	5.43856i	0.107219	+	0.659522i
$69$	−6.65281	−	6.42029i	−0.800904	−	0.772912i
$70$	−0.0592446	+	0.520064i	−0.00708109	+	0.0621596i
$71$		−	6.76960i		−	0.803404i	−0.915770	−	0.401702i	$-0.868419\pi$
$71$		−	6.76960i		−	0.803404i	0.915770	−	0.401702i	$-0.131581\pi$
$72$	−6.09233	−	5.90623i	−0.717988	−	0.696056i
$73$	11.0331	−	6.36998i	1.29133	−	0.745550i	0.312440	−	0.949937i	$-0.398854\pi$
$73$	11.0331	−	6.36998i	1.29133	−	0.745550i	0.978890	+	0.204387i	$0.0655202\pi$
$74$	0.360374	+	4.46256i	0.0418926	+	0.518762i
$75$	−8.37081	−	2.08414i	−0.966578	−	0.240655i
$76$	−2.94366	−	3.60494i	−0.337661	−	0.413515i
$77$	14.3911	+	2.82757i	1.64002	+	0.322231i
$78$	−0.0341966	−	0.0908059i	−0.00387200	−	0.0102817i
$79$			1.69822i			0.191065i	0.995426	+	0.0955325i	$0.0304554\pi$
$79$			1.69822i			0.191065i	−0.995426	+	0.0955325i	$0.969545\pi$
$80$	−0.548271	−	0.111870i	−0.0612986	−	0.0125074i
$81$	3.93464	−	8.09436i	0.437182	−	0.899373i
$82$	1.57153	−	0.126909i	0.173547	−	0.0140148i
$83$	−6.67089	−	11.5543i	−0.732225	−	1.26825i	−0.955930	−	0.293595i	$-0.905148\pi$
$83$	−6.67089	−	11.5543i	−0.732225	−	1.26825i	0.223705	−	0.974657i	$-0.428185\pi$
$84$	8.88759	−	2.23848i	0.969715	−	0.244239i
$85$	−0.192700	+	0.333765i	−0.0209012	+	0.0362019i
$86$	5.51710	−	11.6278i	0.594924	−	1.25386i
$87$	3.03569	−	3.14563i	0.325461	−	0.337247i
$88$	−4.36094	+	15.0602i	−0.464878	+	1.60542i
$89$	−13.3763	−	7.72281i	−1.41789	−	0.818617i	−0.421773	−	0.906702i	$-0.638592\pi$
$89$	−13.3763	−	7.72281i	−1.41789	−	0.818617i	−0.996113	+	0.0880851i	$0.971925\pi$
$90$	−0.0687802	−	0.589513i	−0.00725007	−	0.0621401i
$91$	0.102840	+	0.0202060i	0.0107805	+	0.00211817i
$92$	1.71308	+	10.5375i	0.178601	+	1.09861i
$93$	3.70033	+	12.8885i	0.383707	+	1.33648i
$94$	−8.88212	+	6.13123i	−0.916120	+	0.632388i
$95$		−	0.325536i		−	0.0333993i
$96$	1.55021	+	9.67455i	0.158218	+	0.987404i
$97$	−8.85713	+	5.11366i	−0.899305	+	0.519214i	−0.876975	−	0.480537i	$-0.840442\pi$
$97$	−8.85713	+	5.11366i	−0.899305	+	0.519214i	−0.0223304	+	0.999751i	$0.507109\pi$
$98$	−2.99576	+	9.43533i	−0.302618	+	0.953112i
$99$	−16.6194	+	0.591366i	−1.67032	+	0.0594346i
$100$	6.30011	+	7.71540i	0.630011	+	0.771540i
$101$	−3.51493	−	2.02935i	−0.349748	−	0.201927i	0.314826	−	0.949149i	$-0.398054\pi$
$101$	−3.51493	−	2.02935i	−0.349748	−	0.201927i	−0.664574	+	0.747222i	$0.731387\pi$
$102$	6.65836	+	1.09801i	0.659276	+	0.108719i
$103$	4.10175	+	7.10444i	0.404157	+	0.700021i	0.994223	−	0.107334i	$-0.0342315\pi$
$103$	4.10175	+	7.10444i	0.404157	+	0.700021i	−0.590066	+	0.807355i	$0.700898\pi$
$104$	−0.0311636	+	0.107621i	−0.00305584	+	0.0105531i
$105$	0.580543	+	0.271909i	0.0566552	+	0.0265356i
$106$	11.0308	+	5.23384i	1.07141	+	0.508356i
$107$	1.91019	+	1.10285i	0.184665	+	0.106617i	0.589483	−	0.807781i	$-0.299332\pi$
$107$	1.91019	+	1.10285i	0.184665	+	0.106617i	−0.404818	+	0.914397i	$0.632665\pi$
$108$	−9.23556	+	4.76492i	−0.888692	+	0.458504i
$109$	4.62412	+	8.00921i	0.442910	+	0.767143i	0.997904	−	0.0647113i	$-0.0206127\pi$
$109$	4.62412	+	8.00921i	0.442910	+	0.767143i	−0.554994	+	0.831855i	$0.687279\pi$
$110$	−0.902529	+	0.623006i	−0.0860527	+	0.0594013i
$111$	5.32085	+	1.32477i	0.505033	+	0.125741i
$112$	−9.76691	−	4.07523i	−0.922886	−	0.385073i
$113$	1.75754	−	3.04415i	0.165335	−	0.286369i	−0.771439	−	0.636303i	$-0.780463\pi$
$113$	1.75754	−	3.04415i	0.165335	−	0.286369i	0.936774	+	0.349934i	$0.113796\pi$
$114$	−5.33437	+	2.00887i	−0.499609	+	0.188148i
$115$	−0.373366	+	0.646688i	−0.0348165	+	0.0603040i
$116$	−4.98242	+	0.809993i	−0.462606	+	0.0752060i
$117$	−0.118764	+	0.00422595i	−0.0109797	+	0.000390689i
$118$	−8.34346	+	5.75940i	−0.768078	+	0.530196i
$119$	−4.79312	+	5.49138i	−0.439385	+	0.503394i
$120$	−0.344013	+	0.592730i	−0.0314040	+	0.0541086i
$121$	9.86420	+	17.0853i	0.896745	+	1.55321i
$122$	8.00498	+	11.5966i	0.724737	+	1.04990i
$123$	0.466530	−	1.87379i	0.0420656	−	0.168954i
$124$	5.48979	−	14.4777i	0.492998	−	1.30014i
$125$			1.39618i			0.124878i
$126$	0.873106	−	11.1910i	0.0777825	−	0.996970i
$127$			12.6596i			1.12336i	0.827355	+	0.561680i	$0.189845\pi$
$127$			12.6596i			1.12336i	−0.827355	+	0.561680i	$0.810155\pi$
$128$	5.25589	−	10.0188i	0.464559	−	0.885542i
$129$	−11.3425	−	10.9460i	−0.998648	−	0.963746i
$130$	−0.00644954	+	0.00445205i	−0.000565662	+	0.000390470i
$131$	−8.28447	−	14.3491i	−0.723818	−	1.25369i	−0.959459	−	0.281849i	$-0.909052\pi$
$131$	−8.28447	−	14.3491i	−0.723818	−	1.25369i	0.235641	−	0.971840i	$-0.424281\pi$
$132$	15.7783	+	10.9447i	1.37332	+	0.952612i
$133$	1.18700	−	6.04129i	0.102926	−	0.523847i
$134$	−1.50543	−	2.18086i	−0.130049	−	0.188398i
$135$	−0.711165	−	0.150426i	−0.0612073	−	0.0129466i
$136$	−5.39833	−	5.61936i	−0.462903	−	0.481856i
$137$	−5.21332	+	9.02974i	−0.445404	+	0.771463i	−0.998080	−	0.0619333i	$-0.980273\pi$
$137$	−5.21332	+	9.02974i	−0.445404	+	0.771463i	0.552676	+	0.833396i	$0.313607\pi$
$138$	12.9009	+	2.12744i	1.09820	+	0.181100i
$139$	4.56708	−	7.91041i	0.387374	−	0.670952i	−0.604721	−	0.796437i	$-0.706715\pi$
$139$	4.56708	−	7.91041i	0.387374	−	0.670952i	0.992096	+	0.125485i	$0.0400487\pi$
$140$	−0.348865	−	0.652875i	−0.0294845	−	0.0551780i
$141$	3.64768	+	12.7051i	0.307190	+	1.06997i
$142$	5.43867	+	7.87883i	0.456403	+	0.661176i
$143$	0.109794	+	0.190168i	0.00918141	+	0.0159027i
$144$	11.8356	+	1.97944i	0.986301	+	0.164953i
$145$	−0.305772	−	0.176538i	−0.0253930	−	0.0146607i
$146$	−7.72334	+	16.2777i	−0.639188	+	1.34715i
$147$	9.78227	+	7.16291i	0.806828	+	0.590787i
$148$	−4.00462	−	4.90424i	−0.329178	−	0.403126i
$149$	−5.24801	−	9.08981i	−0.429933	−	0.744667i	0.566933	−	0.823764i	$-0.308130\pi$
$149$	−5.24801	−	9.08981i	−0.429933	−	0.744667i	−0.996867	+	0.0790970i	$0.974796\pi$
$150$	11.4168	−	4.29944i	0.932176	−	0.351048i
$151$	−1.94185	−	1.12113i	−0.158025	−	0.0912360i	0.418902	−	0.908031i	$-0.362415\pi$
$151$	−1.94185	−	1.12113i	−0.158025	−	0.0912360i	−0.576927	+	0.816795i	$0.695748\pi$
$152$	6.32218	+	1.83070i	0.512796	+	0.148489i
$153$	3.87532	−	7.30007i	0.313301	−	0.590175i
$154$	−19.0208	+	8.27087i	−1.53274	+	0.666486i
$155$	0.937919	−	0.541508i	0.0753354	−	0.0434949i
$156$	0.112753	+	0.0782115i	0.00902746	+	0.00626193i
$157$		−	6.98364i		−	0.557355i	−0.960385	−	0.278678i	$-0.910104\pi$
$157$		−	6.98364i		−	0.557355i	0.960385	−	0.278678i	$-0.0898961\pi$
$158$	−1.36435	−	1.97648i	−0.108541	−	0.157241i
$159$	10.3841	−	10.7601i	0.823509	−	0.853333i
$160$	0.727983	−	0.310279i	0.0575521	−	0.0245297i
$161$	−9.28693	+	10.6398i	−0.731912	+	0.838537i
$162$	1.92363	+	12.5817i	0.151134	+	0.988513i
$163$	−17.1344	−	9.89255i	−1.34207	−	0.774844i	−0.354959	−	0.934882i	$-0.615505\pi$
$163$	−17.1344	−	9.89255i	−1.34207	−	0.774844i	−0.987111	+	0.160038i	$0.948838\pi$
$164$	−1.72708	+	1.41027i	−0.134862	+	0.110123i
$165$	0.370648	+	1.29099i	0.0288549	+	0.100504i
$166$	17.0466	+	8.08818i	1.32308	+	0.627764i
$167$	4.33186	−	7.50301i	0.335210	−	0.580600i	−0.648315	−	0.761372i	$-0.724526\pi$
$167$	4.33186	−	7.50301i	0.335210	−	0.580600i	0.983525	+	0.180772i	$0.0578595\pi$
$168$	−8.54546	+	9.74552i	−0.659297	+	0.751883i
$169$	−6.49922	−	11.2570i	−0.499940	−	0.865921i
$170$	−0.0438716	−	0.543268i	−0.00336480	−	0.0416668i
$171$	0.248252	+	6.97674i	0.0189843	+	0.533525i
$172$	2.92066	+	17.9655i	0.222698	+	1.36986i
$173$			7.79152i			0.592378i	0.955129	+	0.296189i	$0.0957158\pi$
$173$			7.79152i			0.592378i	−0.955129	+	0.296189i	$0.904284\pi$
$174$	−1.00592	+	6.09992i	−0.0762582	+	0.462434i
$175$	−2.54045	+	12.9298i	−0.192040	+	0.977399i
$176$	−7.02380	−	21.0314i	−0.529439	−	1.58530i
$177$	3.42647	+	11.9346i	0.257549	+	0.897062i
$178$	21.7725	−	1.75824i	1.63192	−	0.131786i
$179$	−14.5262	+	8.38672i	−1.08574	+	0.626853i	−0.932439	−	0.361326i	$-0.882324\pi$
$179$	−14.5262	+	8.38672i	−1.08574	+	0.626853i	−0.153302	+	0.988179i	$0.548991\pi$
$180$	0.553662	+	0.630849i	0.0412675	+	0.0470207i
$181$			4.24292i			0.315374i	0.987489	+	0.157687i	$0.0504037\pi$
$181$			4.24292i			0.315374i	−0.987489	+	0.157687i	$0.949596\pi$
$182$	−0.135924	+	0.0591042i	−0.0100754	+	0.00438110i
$183$	16.5879	−	4.76245i	1.22621	−	0.352050i
$184$	−10.4595	−	10.8878i	−0.771088	−	0.802660i
$185$		−	0.442867i		−	0.0325602i
$186$	−14.6612	−	12.0275i	−1.07501	−	0.881900i
$187$	−15.2717			−1.11678
$188$	5.41168	−	14.2717i	0.394687	−	1.04087i
$189$	−12.6493	−	5.38471i	−0.920102	−	0.391680i
$190$	0.261534	+	0.378876i	0.0189737	+	0.0274866i
$191$			0.873946i			0.0632365i	0.999500	+	0.0316182i	$0.0100661\pi$
$191$			0.873946i			0.0632365i	−0.999500	+	0.0316182i	$0.989934\pi$
$192$	−9.57671	−	10.0143i	−0.691139	−	0.722722i
$193$	−14.7323			−1.06045			−0.530226	−	0.847856i	$-0.677893\pi$
$193$	−14.7323			−1.06045			−0.530226	+	0.847856i	$0.677893\pi$
$194$	6.20010	−	13.0673i	0.445141	−	0.938180i
$195$	0.00264868	+	0.00922553i	0.000189676	+	0.000660654i
$196$	−4.09367	−	13.3881i	−0.292405	−	0.956295i
$197$	21.2951			1.51722			0.758608	−	0.651547i	$-0.225880\pi$
$197$	21.2951			1.51722			0.758608	+	0.651547i	$0.225880\pi$
$198$	18.8675	−	14.0403i	1.34085	−	0.997797i
$199$	−13.2609	−	22.9685i	−0.940039	−	1.62820i	−0.765392	−	0.643564i	$-0.777455\pi$
$199$	−13.2609	−	22.9685i	−0.940039	−	1.62820i	−0.174647	−	0.984631i	$-0.555878\pi$
$200$	−13.5309	−	3.91811i	−0.956781	−	0.277053i
$201$	−3.11954	+	0.895631i	−0.220036	+	0.0631729i
$202$	5.72123	−	0.462018i	0.402544	−	0.0325075i
$203$	−5.03082	−	4.39112i	−0.353094	−	0.308196i
$204$	−8.63149	+	4.07138i	−0.604325	+	0.285054i
$205$	−0.155960			−0.0108927
$206$	−10.4815	−	4.97320i	−0.730281	−	0.346499i
$207$	7.50865	−	14.1443i	0.521887	−	0.983094i
$208$	−0.0501926	−	0.150292i	−0.00348023	−	0.0104209i
$209$	11.1714	−	6.44980i	0.772740	−	0.446142i
$210$	−0.894118	+	0.149944i	−0.0617000	+	0.0103471i
$211$	4.58363	+	2.64636i	0.315550	+	0.182183i	0.649408	−	0.760441i	$-0.275017\pi$
$211$	4.58363	+	2.64636i	0.315550	+	0.182183i	−0.333857	+	0.942624i	$0.608350\pi$
$212$	−17.0431	+	2.77071i	−1.17053	+	0.190293i
$213$	11.2700	−	3.23566i	0.772208	−	0.221703i
$214$	−3.10921	+	0.251084i	−0.212541	+	0.0171638i
$215$	−0.636556	+	1.10255i	−0.0434128	+	0.0751932i
$216$	6.92073	−	12.9655i	0.470896	−	0.882189i
$217$	19.3804	−	6.62938i	1.31563	−	0.450032i
$218$	−11.8164	−	5.60655i	−0.800305	−	0.379724i
$219$	15.8782	+	15.3233i	1.07295	+	1.03545i
$220$	0.549891	−	1.45018i	0.0370737	−	0.0977708i
$221$	−0.109133			−0.00734107
$222$	−7.25700	+	2.73291i	−0.487058	+	0.183421i
$223$	12.4505	+	21.5649i	0.833746	+	1.44409i	0.895047	+	0.445971i	$0.147142\pi$
$223$	12.4505	+	21.5649i	0.833746	+	1.44409i	−0.0613010	+	0.998119i	$0.519525\pi$
$224$	14.6413	−	3.10372i	0.978261	−	0.207376i
$225$	−0.531317	−	14.9318i	−0.0354211	−	0.995456i
$226$	0.400136	+	4.95494i	0.0266167	+	0.329598i
$227$	−3.97009	+	6.87640i	−0.263504	+	0.456402i	−0.967171	−	0.254128i	$-0.918212\pi$
$227$	−3.97009	+	6.87640i	−0.263504	+	0.456402i	0.703667	+	0.710530i	$0.251545\pi$
$228$	4.59451	−	6.62363i	0.304279	−	0.438661i
$229$	−9.09381	+	5.25031i	−0.600936	+	0.346950i	−0.769410	−	0.638756i	$-0.779449\pi$
$229$	−9.09381	+	5.25031i	−0.600936	+	0.346950i	0.168474	+	0.985706i	$0.446116\pi$
$230$	−0.0850036	−	1.05261i	−0.00560497	−	0.0694071i
$231$	2.17116	+	25.3097i	0.142852	+	1.66526i
$232$	5.14806	−	4.94557i	0.337987	−	0.324693i
$233$	4.22434	−	7.31676i	0.276745	−	0.479337i	−0.693829	−	0.720140i	$-0.744077\pi$
$233$	4.22434	−	7.31676i	0.276745	−	0.479337i	0.970574	+	0.240803i	$0.0774108\pi$
$234$	0.134829	−	0.100333i	0.00881402	−	0.00655895i
$235$	0.924574	−	0.533803i	0.0603125	−	0.0348215i
$236$	5.08349	−	13.4062i	0.330907	−	0.872669i
$237$	−2.82720	+	0.811697i	−0.183646	+	0.0527254i
$238$	1.16674	−	10.2419i	0.0756285	−	0.663886i
$239$	24.5953	+	14.2001i	1.59094	+	0.918529i	0.993146	+	0.116878i	$0.0372886\pi$
$239$	24.5953	+	14.2001i	1.59094	+	0.918529i	0.597792	+	0.801651i	$0.296045\pi$
$240$	−0.0758158	−	0.966230i	−0.00489389	−	0.0623699i
$241$	17.8489	+	10.3051i	1.14975	+	0.663809i	0.948827	−	0.315798i	$-0.102272\pi$
$241$	17.8489	+	10.3051i	1.14975	+	0.663809i	0.200924	+	0.979607i	$0.435605\pi$
$242$	−25.2067	−	11.9599i	−1.62035	−	0.768813i
$243$	15.3561	+	2.68153i	0.985093	+	0.172020i
$244$	−18.6333	−	7.06553i	−1.19287	−	0.452325i
$245$	0.370501	−	0.906448i	0.0236705	−	0.0579108i
$246$	0.962422	+	2.55563i	0.0613618	+	0.162941i
$247$	0.0798315	−	0.0460907i	0.00507955	−	0.00293268i
$248$	5.24201	+	21.2604i	0.332868	+	1.35004i
$249$	16.0471	−	16.6283i	1.01694	−	1.05377i
$250$	−1.12169	−	1.62495i	−0.0709417	−	0.102771i
$251$	11.6339			0.734327			0.367164	−	0.930156i	$-0.380329\pi$
$251$	11.6339			0.734327			0.367164	+	0.930156i	$0.380329\pi$
$252$	7.97461	+	13.7261i	0.502353	+	0.864663i
$253$	−29.5898			−1.86029
$254$	−10.1707	−	14.7339i	−0.638165	−	0.924490i
$255$	−0.647756	−	0.161276i	−0.0405640	−	0.0100995i
$256$	1.93195	+	15.8829i	0.120747	+	0.992683i
$257$	−21.8751	+	12.6296i	−1.36453	+	0.787811i	−0.990223	−	0.139495i	$-0.955452\pi$
$257$	−21.8751	+	12.6296i	−1.36453	+	0.787811i	−0.374305	+	0.927305i	$0.622119\pi$
$258$	21.9950	+	3.62711i	1.36935	+	0.225814i
$259$	1.61482	−	8.21872i	0.100340	−	0.510687i
$260$	0.00392956	−	0.0103631i	0.000243701	−	0.000642690i
$261$	6.68781	+	3.55030i	0.413965	+	0.219758i
$262$	21.1699	+	10.0446i	1.30788	+	0.620556i
$263$	5.16910	+	2.98438i	0.318740	+	0.184025i	0.650831	−	0.759223i	$-0.274421\pi$
$263$	5.16910	+	2.98438i	0.318740	+	0.184025i	−0.332091	+	0.943247i	$0.607754\pi$
$264$	−27.1565	−	0.0617826i	−1.67137	−	0.00380246i
$265$	−1.04594	−	0.603875i	−0.0642517	−	0.0370957i
$266$	3.47206	+	7.98481i	0.212886	+	0.489580i
$267$	6.46346	−	25.9601i	0.395557	−	1.58873i
$268$	3.50419	+	1.32875i	0.214053	+	0.0811665i
$269$	−0.753852	+	0.435237i	−0.0459632	+	0.0265369i	−0.522806	−	0.852452i	$-0.675115\pi$
$269$	−0.753852	+	0.435237i	−0.0459632	+	0.0265369i	0.476842	+	0.878989i	$0.341781\pi$
$270$	0.948543	−	0.396273i	0.0577265	−	0.0241164i
$271$	8.58619	−	14.8717i	0.521574	−	0.903393i	−0.478111	−	0.878299i	$-0.658678\pi$
$271$	8.58619	−	14.8717i	0.521574	−	0.903393i	0.999685	−	0.0250933i	$-0.00798828\pi$
$272$	10.7974	+	2.20312i	0.654691	+	0.133584i
$273$	0.0155153	+	0.180865i	0.000939028	+	0.0109465i
$274$	−1.18691	−	14.6977i	−0.0717038	−	0.887918i
$275$	−23.9093	+	13.8041i	−1.44179	+	0.832416i
$276$	−16.7240	+	7.88852i	−1.00666	+	0.474833i
$277$	5.98774	−	10.3711i	0.359769	−	0.623137i	−0.628153	−	0.778090i	$-0.716189\pi$
$277$	5.98774	−	10.3711i	0.359769	−	0.623137i	0.987922	+	0.154952i	$0.0495223\pi$
$278$	1.03978	+	12.8757i	0.0623618	+	0.772235i
$279$	−19.6881	+	12.3206i	−1.17870	+	0.737615i
$280$	0.930545	+	0.479575i	0.0556107	+	0.0286601i
$281$	10.9043	+	18.8867i	0.650494	+	1.12669i	0.983003	+	0.183588i	$0.0587713\pi$
$281$	10.9043	+	18.8867i	0.650494	+	1.12669i	−0.332510	+	0.943100i	$0.607895\pi$
$282$	−14.4526	−	11.8564i	−0.860641	−	0.706037i
$283$	10.5822			0.629049			0.314525	−	0.949249i	$-0.398155\pi$
$283$	10.5822			0.629049			0.314525	+	0.949249i	$0.398155\pi$
$284$	−12.6596	−	4.80040i	−0.751211	−	0.284851i
$285$	0.541951	−	0.155596i	0.0321024	−	0.00921670i
$286$	−0.280564	−	0.133120i	−0.0165901	−	0.00787156i
$287$	−2.89431	−	0.568674i	−0.170845	−	0.0335678i
$288$	−15.3652	+	7.20491i	−0.905403	+	0.424553i
$289$	−4.70505	+	8.14939i	−0.276768	+	0.479376i
$290$	0.497704	−	0.0401921i	0.0292262	−	0.00236016i
$291$	−12.7466	−	12.3011i	−0.747221	−	0.721106i
$292$	−4.08860	−	25.1498i	−0.239267	−	1.47178i
$293$	0.652663	+	0.376815i	0.0381290	+	0.0220138i	0.518943	−	0.854809i	$-0.326326\pi$
$293$	0.652663	+	0.376815i	0.0381290	+	0.0220138i	−0.480814	+	0.876822i	$0.659659\pi$
$294$	−17.1398	−	0.477546i	−0.999612	−	0.0278511i
$295$	0.868503	−	0.501430i	0.0505662	−	0.0291944i
$296$	8.60084	+	2.49052i	0.499914	+	0.144759i
$297$	−8.92807	−	27.3853i	−0.518059	−	1.58906i
$298$	13.4106	+	6.36299i	0.776857	+	0.368598i
$299$	−0.211451			−0.0122285
$300$	−9.83331	+	14.1761i	−0.567727	+	0.818458i
$301$	−15.8334	+	18.1400i	−0.912623	+	1.04557i
$302$	3.16074	−	0.255245i	0.181880	−	0.0146877i
$303$	1.69842	−	6.82160i	0.0975717	−	0.391891i
$304$	−8.82886	+	2.94855i	−0.506370	+	0.169111i
$305$	−0.696937	−	1.20713i	−0.0399065	−	0.0691201i
$306$	1.35453	+	11.6096i	0.0774334	+	0.663678i
$307$	16.5771			0.946107			0.473053	−	0.881034i	$-0.343152\pi$
$307$	16.5771			0.946107			0.473053	+	0.881034i	$0.343152\pi$
$308$	15.4926	−	24.9073i	0.882775	−	1.41922i
$309$	−9.86693	+	10.2243i	−0.561310	+	0.581638i
$310$	−0.656555	+	1.38376i	−0.0372898	+	0.0785920i
$311$	1.32303			0.0750221			0.0375111	−	0.999296i	$-0.488057\pi$
$311$	1.32303			0.0750221			0.0375111	+	0.999296i	$0.488057\pi$
$312$	−0.194063		0.000441503i	−0.0109866		2.49952e-5i
$313$			10.9712i			0.620127i	0.950716	+	0.310063i	$0.100350\pi$
$313$			10.9712i			0.620127i	−0.950716	+	0.310063i	$0.899650\pi$
$314$	5.61063	+	8.12794i	0.316626	+	0.458686i
$315$	−0.175191	+	1.09645i	−0.00987092	+	0.0617780i
$316$	3.17580	+	1.20423i	0.178652	+	0.0677431i
$317$	−19.5826			−1.09987			−0.549935	−	0.835207i	$-0.685348\pi$
$317$	−19.5826			−1.09987			−0.549935	+	0.835207i	$0.685348\pi$
$318$	−3.44089	+	20.8657i	−0.192955	+	1.17009i
$319$		−	13.9909i		−	0.783339i
$320$	−0.597989	+	0.945977i	−0.0334286	+	0.0528817i
$321$	−0.923009	+	3.70721i	−0.0515173	+	0.206916i
$322$	2.26062	−	19.8443i	0.125979	−	1.10588i
$323$			6.41098i			0.356716i
$324$	−12.3469	−	13.0978i	−0.685940	−	0.727658i
$325$	−0.170858	+	0.0986448i	−0.00947749	+	0.00547183i
$326$	27.8896	−	2.25222i	1.54466	−	0.124739i
$327$	−11.1235	+	11.5264i	−0.615132	+	0.637410i
$328$	0.877063	−	3.02887i	0.0484277	−	0.167242i
$329$	19.1046	−	6.53506i	1.05327	−	0.360289i
$330$	−1.46856	−	1.20475i	−0.0808415	−	0.0663193i
$331$			3.96519i			0.217947i	0.994045	+	0.108973i	$0.0347563\pi$
$331$			3.96519i			0.217947i	−0.994045	+	0.108973i	$0.965244\pi$
$332$	−26.3378	+	4.28174i	−1.44547	+	0.234991i
$333$	0.337728	+	9.49133i	0.0185074	+	0.520122i
$334$	0.986229	+	12.2126i	0.0539640	+	0.668244i
$335$	0.131067	+	0.227014i	0.00716095	+	0.0124031i
$336$	2.11616	−	18.2077i	0.115446	−	0.993314i
$337$	−4.29338	+	7.43635i	−0.233875	+	0.405084i	−0.958945	−	0.283591i	$-0.908474\pi$
$337$	−4.29338	+	7.43635i	−0.233875	+	0.405084i	0.725070	+	0.688675i	$0.241807\pi$
$338$	16.6079	+	7.88003i	0.903353	+	0.428617i
$339$	5.90793	+	1.47094i	0.320875	+	0.0798904i
$340$	0.487519	+	0.597038i	0.0264395	+	0.0323790i
$341$	37.1657	+	21.4576i	2.01264	+	1.16200i
$342$	−5.89401	−	7.92046i	−0.318712	−	0.428289i
$343$	10.1809	−	15.4709i	0.549718	−	0.835350i
$344$	−17.8326	−	18.5628i	−0.961471	−	1.00084i
$345$	−1.25506	−	0.312481i	−0.0675702	−	0.0168234i
$346$	−6.25967	−	9.06818i	−0.336522	−	0.487509i
$347$			5.53046i			0.296891i	0.988921	+	0.148445i	$0.0474269\pi$
$347$			5.53046i			0.296891i	−0.988921	+	0.148445i	$0.952573\pi$
$348$	−3.72991	−	7.90756i	−0.199944	−	0.423890i
$349$	−18.5119	+	10.6879i	−0.990919	+	0.572108i	−0.905549	−	0.424242i	$-0.860541\pi$
$349$	−18.5119	+	10.6879i	−0.990919	+	0.572108i	−0.0853704	+	0.996349i	$0.527207\pi$
$350$	−7.43101	−	17.0893i	−0.397204	−	0.913464i
$351$	−0.0638007	−	0.195698i	−0.00340543	−	0.0104456i
$352$	25.0712	+	18.8346i	1.33630	+	1.00389i
$353$	3.71421	+	2.14440i	0.197687	+	0.114135i	0.595576	−	0.803299i	$-0.296924\pi$
$353$	3.71421	+	2.14440i	0.197687	+	0.114135i	−0.397889	+	0.917434i	$0.630257\pi$
$354$	−13.5761	−	11.1374i	−0.721564	−	0.591944i
$355$	−0.473506	−	0.820137i	−0.0251311	−	0.0435284i
$356$	−23.9275	+	19.5383i	−1.26815	+	1.03553i
$357$	−11.4330	−	5.35486i	−0.605098	−	0.283409i
$358$	10.1686	−	21.4312i	0.537425	−	1.13268i
$359$	11.3279	+	6.54017i	0.597864	+	0.345177i	0.768201	−	0.640209i	$-0.221152\pi$
$359$	11.3279	+	6.54017i	0.597864	+	0.345177i	−0.170337	+	0.985386i	$0.554485\pi$
$360$	−1.15120	−	0.289406i	−0.0606737	−	0.0152530i
$361$	6.79241	+	11.7648i	0.357496	+	0.619200i
$362$	−3.40874	−	4.93814i	−0.179160	−	0.259543i
$363$	−23.7288	+	24.5881i	−1.24544	+	1.29054i
$364$	0.110711	−	0.177989i	0.00580286	−	0.00932918i
$365$	0.891109	−	1.54345i	0.0466428	−	0.0807877i
$366$	−15.4798	+	18.8695i	−0.809141	+	0.986322i
$367$	−10.2990	+	17.8384i	−0.537605	+	0.931159i	0.461427	+	0.887178i	$0.347338\pi$
$367$	−10.2990	+	17.8384i	−0.537605	+	0.931159i	−0.999032	+	0.0439814i	$0.985996\pi$
$368$	20.9206	+	4.26866i	1.09056	+	0.222519i
$369$	3.34247	−	0.118934i	0.174002	−	0.00619147i
$370$	0.355797	+	0.515432i	0.0184970	+	0.0267961i
$371$	−17.2087	−	15.0205i	−0.893430	−	0.779826i
$372$	26.7264	+	2.21950i	1.38570	+	0.115076i
$373$	−5.31802	−	9.21107i	−0.275356	−	0.476931i	0.694869	−	0.719137i	$-0.255463\pi$
$373$	−5.31802	−	9.21107i	−0.275356	−	0.476931i	−0.970225	+	0.242205i	$0.922129\pi$
$374$	17.7740	−	12.2692i	0.919074	−	0.634427i
$375$	−2.32436	+	0.667331i	−0.120029	+	0.0344608i
$376$	5.16743	+	20.9579i	0.266490	+	1.08082i
$377$		−	0.0999798i		−	0.00514922i
$378$	19.0480	−	3.89538i	0.979723	−	0.200357i
$379$			10.1687i			0.522331i	0.965294	+	0.261165i	$0.0841068\pi$
$379$			10.1687i			0.522331i	−0.965294	+	0.261165i	$0.915893\pi$
$380$	−0.608775	−	0.230841i	−0.0312295	−	0.0118419i
$381$	−21.0757	+	6.05090i	−1.07974	+	0.309997i
$382$	−0.702124	−	1.01714i	−0.0359238	−	0.0520417i
$383$	5.46845	+	9.47164i	0.279425	+	0.483978i	0.971242	−	0.238095i	$-0.0765229\pi$
$383$	5.46845	+	9.47164i	0.279425	+	0.483978i	−0.691817	+	0.722073i	$0.743190\pi$
$384$	19.1913	+	3.96132i	0.979354	+	0.202150i
$385$	1.94126	−	0.664039i	0.0989357	−	0.0338426i
$386$	17.1462	−	11.8358i	0.872719	−	0.602429i
$387$	12.8016	−	24.1148i	0.650742	−	1.22582i
$388$	3.28223	+	20.1896i	0.166630	+	1.02497i
$389$	−0.942874	+	1.63311i	−0.0478056	+	0.0828017i	−0.888938	−	0.458027i	$-0.848556\pi$
$389$	−0.942874	+	1.63311i	−0.0478056	+	0.0828017i	0.841132	+	0.540829i	$0.181889\pi$
$390$	−0.0104944	−	0.00860923i	−0.000531406	−	0.000435945i
$391$	7.35292	−	12.7356i	0.371853	−	0.644068i
$392$	15.5204	+	12.2930i	0.783898	+	0.620889i
$393$	19.9287	−	20.6504i	1.00527	−	1.04167i
$394$	−24.7844	+	17.1084i	−1.24862	+	0.861910i
$395$	0.118784	+	0.205740i	0.00597667	+	0.0103519i
$396$	−10.6791	+	31.4989i	−0.536646	+	1.58288i
$397$	−30.4293	−	17.5684i	−1.52720	−	0.881730i	−0.999478	−	0.0323144i	$-0.989712\pi$
$397$	−30.4293	−	17.5684i	−1.52720	−	0.881730i	−0.527724	−	0.849416i	$-0.676954\pi$
$398$	33.8865	+	16.0783i	1.69858	+	0.805931i
$399$	10.6249	−	0.911441i	0.531909	−	0.0456291i
$400$	18.8958	−	6.31057i	0.944790	−	0.315529i
$401$	9.35365	+	16.2010i	0.467099	+	0.809039i	0.999294	−	0.0375832i	$-0.0119659\pi$
$401$	9.35365	+	16.2010i	0.467099	+	0.809039i	−0.532195	+	0.846622i	$0.678633\pi$
$402$	2.91115	−	3.54861i	0.145195	−	0.176989i
$403$	0.265589	+	0.153338i	0.0132299	+	0.00763830i
$404$	−6.28749	+	5.13413i	−0.312814	+	0.255433i
$405$	−0.0894862	−	1.25584i	−0.00444660	−	0.0624034i
$406$	9.38294	+	1.06889i	0.465668	+	0.0530479i
$407$	15.1978	−	8.77446i	0.753328	−	0.434934i
$408$	6.77486	−	11.6730i	0.335406	−	0.577899i
$409$		−	4.05211i		−	0.200364i	−0.994969	−	0.100182i	$-0.968057\pi$
$409$		−	4.05211i		−	0.200364i	0.994969	−	0.100182i	$-0.0319425\pi$
$410$	0.181515	−	0.125298i	0.00896437	−	0.00618801i
$411$	−17.5245	−	4.36319i	−0.864419	−	0.215220i
$412$	16.1944	−	2.63272i	0.797840	−	0.129705i
$413$	17.9460	−	6.13874i	0.883067	−	0.302068i
$414$	2.62448	+	22.4943i	0.128986	+	1.10553i
$415$	−1.61636	−	0.933204i	−0.0793438	−	0.0458092i
$416$	0.179161	+	0.134593i	0.00878408	+	0.00659899i
$417$	15.3521	+	3.82233i	0.751798	+	0.187180i
$418$	−7.82011	+	16.4817i	−0.382494	+	0.806144i
$419$	4.42682	−	7.66747i	0.216264	−	0.374580i	−0.737399	−	0.675458i	$-0.763946\pi$
$419$	4.42682	−	7.66747i	0.216264	−	0.374580i	0.953663	+	0.300877i	$0.0972794\pi$
$420$	0.920158	−	0.892843i	0.0448991	−	0.0435663i
$421$	−15.1319	−	26.2092i	−0.737483	−	1.27736i	−0.953625	−	0.300997i	$-0.902681\pi$
$421$	−15.1319	−	26.2092i	−0.737483	−	1.27736i	0.216142	−	0.976362i	$-0.430653\pi$
$422$	−7.46076	+	0.602493i	−0.363184	+	0.0293289i
$423$	−19.4080	+	12.1453i	−0.943648	+	0.590525i
$424$	17.6097	−	16.9171i	0.855205	−	0.821566i
$425$		−	13.7210i		−	0.665565i
$426$	−10.5171	+	12.8201i	−0.509557	+	0.621136i
$427$	−8.53222	−	24.9432i	−0.412903	−	1.20708i
$428$	3.41694	−	2.79015i	0.165164	−	0.134867i
$429$	−0.264113	+	0.273678i	−0.0127515	+	0.0132133i
$430$	−0.144924	−	1.79461i	−0.00698885	−	0.0865439i
$431$	12.7886	−	7.38348i	0.616003	−	0.355650i	−0.159308	−	0.987229i	$-0.550926\pi$
$431$	12.7886	−	7.38348i	0.616003	−	0.355650i	0.775311	+	0.631579i	$0.217593\pi$
$432$	2.36169	+	20.6500i	0.113627	+	0.993523i
$433$		−	8.47613i		−	0.407337i	−0.979040	−	0.203668i	$-0.934714\pi$
$433$		−	8.47613i		−	0.407337i	0.979040	−	0.203668i	$-0.0652864\pi$
$434$	−17.2299	+	23.2857i	−0.827062	+	1.11775i
$435$	0.147750	−	0.593428i	0.00708407	−	0.0284527i
$436$	18.2568	−	2.96801i	0.874342	−	0.142142i
$437$			12.4216i			0.594206i
$438$	−30.7906	−	5.07756i	−1.47123	−	0.242615i
$439$	−30.0122			−1.43241			−0.716203	−	0.697892i	$-0.754122\pi$
$439$	−30.0122			−1.43241			−0.716203	+	0.697892i	$0.754122\pi$
$440$	0.525072	+	2.12957i	0.0250318	+	0.101523i
$441$	−7.24917	+	19.7091i	−0.345199	+	0.938530i
$442$	0.127015	−	0.0876768i	0.00604147	−	0.00417036i
$443$			4.74790i			0.225580i	0.993619	+	0.112790i	$0.0359787\pi$
$443$			4.74790i			0.225580i	−0.993619	+	0.112790i	$0.964021\pi$
$444$	6.25048	−	9.01095i	0.296635	−	0.427641i
$445$	−2.16072			−0.102428
$446$	−31.8157	−	15.0957i	−1.50652	−	0.714802i
$447$	12.6243	−	13.0815i	0.597109	−	0.618734i
$448$	−14.5468	+	15.3750i	−0.687271	+	0.726401i
$449$	−11.0084			−0.519517			−0.259758	−	0.965674i	$-0.583643\pi$
$449$	−11.0084			−0.519517			−0.259758	+	0.965674i	$0.583643\pi$
$450$	12.6146	+	16.9516i	0.594656	+	0.799107i
$451$	−3.09001	−	5.35206i	−0.145503	−	0.252019i
$452$	−4.44648	−	5.44536i	−0.209145	−	0.256128i
$453$	0.938306	−	3.76865i	0.0440855	−	0.177066i
$454$	−0.903864	−	11.1927i	−0.0424205	−	0.525298i
$455$	0.0138724	−	0.00474527i	0.000650347	−	0.000222462i
$456$	−0.0259360	+	11.4002i	−0.00121456	+	0.533861i
$457$	13.1174			0.613604			0.306802	−	0.951773i	$-0.400741\pi$
$457$	13.1174			0.613604			0.306802	+	0.951773i	$0.400741\pi$
$458$	6.36578	−	13.4165i	0.297454	−	0.626913i
$459$	14.0054	+	2.96242i	0.653716	+	0.138274i
$460$	0.944595	+	1.15679i	0.0440420	+	0.0539358i
$461$	28.9043	−	16.6879i	1.34621	−	0.777234i	0.358498	−	0.933530i	$-0.383289\pi$
$461$	28.9043	−	16.6879i	1.34621	−	0.777234i	0.987710	+	0.156296i	$0.0499555\pi$
$462$	−22.8606	−	27.7125i	−1.06357	−	1.28930i
$463$	−9.95524	−	5.74766i	−0.462659	−	0.267116i	0.250502	−	0.968116i	$-0.419404\pi$
$463$	−9.95524	−	5.74766i	−0.462659	−	0.267116i	−0.713162	+	0.700999i	$0.752738\pi$
$464$	−2.01834	+	9.89185i	−0.0936993	+	0.459218i
$465$	1.34980	+	1.30262i	0.0625953	+	0.0604076i
$466$	0.961748	+	11.9095i	0.0445521	+	0.551695i
$467$	−12.1346	+	21.0178i	−0.561523	+	0.972586i	0.435841	+	0.900024i	$0.356451\pi$
$467$	−12.1346	+	21.0178i	−0.561523	+	0.972586i	−0.997364	+	0.0725625i	$0.976882\pi$
$468$	−0.0763138	+	0.225093i	−0.00352761	+	0.0104049i
$469$	1.60458	+	4.69084i	0.0740926	+	0.216603i
$470$	−0.647214	+	1.36407i	−0.0298537	+	0.0629197i
$471$	11.6263	−	3.33796i	0.535714	−	0.153805i
$472$	4.85405	+	19.6869i	0.223426	+	0.906164i
$473$	−50.4480			−2.31960
$474$	2.63833	−	3.21605i	0.121182	−	0.147718i
$475$	5.79486	+	10.0370i	0.265886	+	0.460529i
$476$	6.87041	+	12.8575i	0.314905	+	0.589321i
$477$	22.8767	+	12.1443i	1.04745	+	0.556051i
$478$	−40.0337	+	3.23292i	−1.83110	+	0.147870i
$479$	−19.2299	+	33.3072i	−0.878638	+	1.52185i	−0.0258022	+	0.999667i	$0.508214\pi$
$479$	−19.2299	+	33.3072i	−0.878638	+	1.52185i	−0.852836	+	0.522179i	$0.825119\pi$
$480$	0.864504	+	1.06364i	0.0394590	+	0.0485483i
$481$	0.108605	−	0.0627029i	0.00495195	−	0.00285901i
$482$	−29.0526	+	2.34614i	−1.32331	+	0.106864i
$483$	−22.1520	−	10.3753i	−1.00795	−	0.472094i
$484$	38.9455	−	6.33138i	1.77025	−	0.287790i
$485$	−0.715361	+	1.23904i	−0.0324829	+	0.0562620i
$486$	−20.0266	+	9.21611i	−0.908423	+	0.418051i
$487$	−4.45081	+	2.56967i	−0.201685	+	0.116443i	−0.597441	−	0.801913i	$-0.703816\pi$
$487$	−4.45081	+	2.56967i	−0.201685	+	0.116443i	0.395756	+	0.918356i	$0.370483\pi$
$488$	27.3628	−	6.74663i	1.23866	−	0.305406i
$489$	8.27938	−	33.2536i	0.374406	−	1.50378i
$490$	0.297027	+	1.35263i	0.0134183	+	0.0611057i
$491$	−5.48778	−	3.16837i	−0.247660	−	0.142987i	0.371032	−	0.928620i	$-0.379004\pi$
$491$	−5.48778	−	3.16837i	−0.247660	−	0.142987i	−0.618692	+	0.785633i	$0.712337\pi$
$492$	−3.17330	−	2.20117i	−0.143063	−	0.0992364i
$493$	6.02176	+	3.47667i	0.271206	+	0.156581i
$494$	−0.0558831	+	0.117779i	−0.00251430	+	0.00529913i
$495$	−1.97208	+	1.23411i	−0.0886385	+	0.0554690i
$496$	−23.1814	−	20.5326i	−1.04088	−	0.921940i
$497$	−5.79688	−	16.9466i	−0.260026	−	0.760161i
$498$	−5.31741	+	32.2451i	−0.238279	+	1.44494i
$499$	−4.12448	+	2.38127i	−0.184637	+	0.106600i	−0.589469	−	0.807791i	$-0.700663\pi$
$499$	−4.12448	+	2.38127i	−0.184637	+	0.106600i	0.404832	+	0.914391i	$0.367330\pi$
$500$	2.61096	+	0.990048i	0.116766	+	0.0442763i
$501$	14.5615	+	3.62547i	0.650558	+	0.161974i
$502$	−13.5402	+	9.34665i	−0.604329	+	0.417162i
$503$	−40.5527			−1.80815			−0.904077	−	0.427369i	$-0.859441\pi$
$503$	−40.5527			−1.80815			−0.904077	+	0.427369i	$0.859441\pi$
$504$	−20.3088	−	9.56840i	−0.904624	−	0.426210i
$505$	−0.567778			−0.0252658
$506$	34.4382	−	23.7723i	1.53096	−	1.05681i
$507$	15.6341	−	16.2003i	0.694337	−	0.719483i
$508$	23.6744	+	8.97707i	1.05038	+	0.398293i
$509$	35.6828	−	20.6015i	1.58161	−	0.913145i	0.586989	−	0.809595i	$-0.300313\pi$
$509$	35.6828	−	20.6015i	1.58161	−	0.913145i	0.994624	−	0.103550i	$-0.0330203\pi$
$510$	0.883462	−	0.332702i	0.0391203	−	0.0147323i
$511$	22.1650	−	25.3940i	0.980524	−	1.12337i
$512$	−15.0088	−	16.9333i	−0.663301	−	0.748353i
$513$	−11.4962	+	3.74795i	−0.507569	+	0.165476i
$514$	15.3128	−	32.2733i	0.675420	−	1.42351i
$515$	0.993853	+	0.573802i	0.0437944	+	0.0252847i
$516$	−28.5129	+	13.4492i	−1.25521	+	0.592070i
$517$	36.6369	+	21.1523i	1.61129	+	0.930278i
$518$	4.72348	+	10.8627i	0.207538	+	0.477281i
$519$	−12.9713	+	3.72410i	−0.569376	+	0.163470i
$520$	0.00375220	+	0.0152181i	0.000164545	+	0.000667357i
$521$	−14.8622	+	8.58067i	−0.651123	+	0.375926i	−0.788886	−	0.614539i	$-0.789342\pi$
$521$	−14.8622	+	8.58067i	−0.651123	+	0.375926i	0.137763	+	0.990465i	$0.456009\pi$
$522$	−10.6359	+	1.24093i	−0.465522	+	0.0543138i
$523$	0.525714	−	0.910563i	0.0229879	−	0.0398161i	−0.854303	−	0.519776i	$-0.826015\pi$
$523$	0.525714	−	0.910563i	0.0229879	−	0.0398161i	0.877290	+	0.479960i	$0.159349\pi$
$524$	−32.7085	+	5.31742i	−1.42888	+	0.232293i
$525$	−22.7397	+	1.95069i	−0.992441	+	0.0851353i
$526$	−8.41371	+	0.679450i	−0.366855	+	0.0296254i
$527$	−18.4710	+	10.6642i	−0.804609	+	0.464541i
$528$	31.6559	−	21.7455i	1.37765	−	0.946353i
$529$	2.74666	−	4.75736i	0.119420	−	0.206842i
$530$	1.70247	−	0.137483i	0.0739507	−	0.00597189i
$531$	−18.2310	+	11.4088i	−0.791157	+	0.495098i
$532$	−10.4559	−	6.50371i	−0.453322	−	0.281972i
$533$	−0.0220815	−	0.0382462i	−0.000956454	−	0.00165663i
$534$	13.3337	+	35.4065i	0.577005	+	1.53219i
$535$	0.308560			0.0133402
$536$	−5.14588	+	1.26878i	−0.222268	+	0.0548029i
$537$	−20.9053	−	20.1746i	−0.902129	−	0.870599i
$538$	0.527706	−	1.11219i	0.0227510	−	0.0479501i
$539$	38.4471	−	5.24487i	1.65604	−	0.225912i
$540$	−0.785601	+	1.22326i	−0.0338069	+	0.0526407i
$541$	21.1107	−	36.5648i	0.907620	−	1.57204i	0.0902597	−	0.995918i	$-0.471230\pi$
$541$	21.1107	−	36.5648i	0.907620	−	1.57204i	0.817361	−	0.576126i	$-0.195436\pi$
$542$	1.95481	+	24.2066i	0.0839661	+	1.03976i
$543$	−7.06360	+	2.02798i	−0.303128	+	0.0870290i
$544$	−14.3366	+	6.11050i	−0.614677	+	0.261986i
$545$	1.12042	+	0.646877i	0.0479937	+	0.0277092i
$546$	−0.163364	−	0.198036i	−0.00699133	−	0.00847514i
$547$	−10.7150	+	6.18628i	−0.458138	+	0.264506i	−0.711261	−	0.702928i	$-0.751876\pi$
$547$	−10.7150	+	6.18628i	−0.458138	+	0.264506i	0.253123	+	0.967434i	$0.418542\pi$
$548$	13.1894	+	16.1524i	0.563424	+	0.689995i
$549$	15.8570	+	25.3392i	0.676760	+	1.08145i
$550$	16.7368	−	35.2746i	0.713661	−	1.50411i
$551$	−5.87328			−0.250210
$552$	13.1267	−	22.6170i	0.558707	−	0.962645i
$553$	1.45421	+	4.25124i	0.0618391	+	0.180781i
$554$	1.36322	+	16.8809i	0.0579177	+	0.717202i
$555$	0.737283	−	0.211676i	0.0312959	−	0.00898516i
$556$	−11.5545	−	14.1501i	−0.490018	−	0.600098i
$557$	0.650577	+	1.12683i	0.0275658	+	0.0477454i	0.879479	−	0.475937i	$-0.157891\pi$
$557$	0.650577	+	1.12683i	0.0275658	+	0.0477454i	−0.851913	+	0.523683i	$0.824558\pi$
$558$	13.0158	−	30.1567i	0.551001	−	1.27664i
$559$	−0.360505			−0.0152477
$560$	−1.46831	+	0.189441i	−0.0620473	+	0.00800536i
$561$	−7.29940	−	25.4243i	−0.308181	−	1.07341i
$562$	−27.8645	−	13.2210i	−1.17539	−	0.557692i
$563$	14.3211			0.603561			0.301780	−	0.953378i	$-0.402419\pi$
$563$	14.3211			0.603561			0.301780	+	0.953378i	$0.402419\pi$
$564$	26.3461	+	2.18792i	1.10937	+	0.0921281i
$565$		−	0.491731i		−	0.0206873i
$566$	−12.3162	+	8.50173i	−0.517688	+	0.357354i
$567$	2.91848	−	23.6322i	0.122564	−	0.992461i
$568$	18.5906	−	4.58373i	0.780043	−	0.192329i
$569$	1.01803			0.0426782			0.0213391	−	0.999772i	$-0.493207\pi$
$569$	1.01803			0.0426782			0.0213391	+	0.999772i	$0.493207\pi$
$570$	−0.505746	+	0.616492i	−0.0211834	+	0.0258220i
$571$			13.8241i			0.578519i	0.957251	+	0.289260i	$0.0934091\pi$
$571$			13.8241i			0.578519i	−0.957251	+	0.289260i	$0.906591\pi$
$572$	0.433484	−	0.0704715i	0.0181249	−	0.00294656i
$573$	−1.45494	+	0.417718i	−0.0607811	+	0.0174504i
$574$	3.82542	−	1.66342i	0.159670	−	0.0694298i
$575$		−	26.5851i		−	1.10868i
$576$	12.0944	−	20.7298i	0.503935	−	0.863741i
$577$	1.25177	−	0.722708i	0.0521117	−	0.0300867i	−0.473718	−	0.880677i	$-0.657088\pi$
$577$	1.25177	−	0.722708i	0.0521117	−	0.0300867i	0.525830	+	0.850590i	$0.323755\pi$
$578$	−1.07119	−	13.2647i	−0.0445557	−	0.551739i
$579$	−7.04156	−	24.5262i	−0.292637	−	1.01928i
$580$	−0.546965	+	0.446631i	−0.0227115	+	0.0185453i
$581$	−26.5936	−	23.2121i	−1.10329	−	0.963000i
$582$	24.7179	+	4.07614i	1.02459	+	0.168961i
$583$		−	47.8579i		−	1.98207i
$584$	24.9637	+	25.9859i	1.03301	+	1.07530i
$585$	−0.0140926	+	0.00881902i	−0.000582659	+	0.000364622i
$586$	−1.06234	+	0.0857889i	−0.0438847	+	0.00354391i
$587$	4.13937	+	7.16959i	0.170850	+	0.295921i	0.938717	−	0.344688i	$-0.112015\pi$
$587$	4.13937	+	7.16959i	0.170850	+	0.295921i	−0.767867	+	0.640609i	$0.778682\pi$
$588$	20.3319	−	13.2142i	0.838471	−	0.544946i
$589$	9.00778	−	15.6019i	0.371159	−	0.642867i
$590$	−0.607963	+	1.28134i	−0.0250295	+	0.0527521i
$591$	10.1784	+	35.4521i	0.418684	+	1.45830i
$592$	−12.0110	+	4.01128i	−0.493649	+	0.164862i
$593$	4.44238	+	2.56481i	0.182427	+	0.105324i	0.588432	−	0.808546i	$-0.299745\pi$
$593$	4.44238	+	2.56481i	0.182427	+	0.105324i	−0.406006	+	0.913871i	$0.633079\pi$
$594$	32.3922	+	24.6997i	1.32907	+	1.01344i
$595$	−0.196587	+	1.00054i	−0.00805927	+	0.0410182i
$596$	−20.7200	+	3.36846i	−0.848725	+	0.137977i
$597$	31.8996	−	33.0549i	1.30556	−	1.35285i
$598$	0.246098	−	0.169879i	0.0100637	−	0.00694685i
$599$			11.7325i			0.479375i	0.970850	+	0.239688i	$0.0770450\pi$
$599$			11.7325i			0.479375i	−0.970850	+	0.239688i	$0.922955\pi$
$600$	0.0555090	−	24.3990i	0.00226614	−	0.996083i
$601$	−22.2513	+	12.8468i	−0.907651	+	0.524032i	−0.879675	−	0.475576i	$-0.842240\pi$
$601$	−22.2513	+	12.8468i	−0.907651	+	0.524032i	−0.0279762	+	0.999609i	$0.508906\pi$
$602$	3.85416	−	33.8328i	0.157084	−	1.37892i
$603$	−2.98209	−	4.76532i	−0.121440	−	0.194059i
$604$	−3.47357	+	2.83639i	−0.141338	+	0.115411i
$605$	2.39009	+	1.37992i	0.0971712	+	0.0561018i
$606$	3.50373	+	9.30385i	0.142329	+	0.377943i
$607$	7.34982	+	12.7303i	0.298320	+	0.516705i	0.975752	−	0.218880i	$-0.0702405\pi$
$607$	7.34982	+	12.7303i	0.298320	+	0.516705i	−0.677432	+	0.735586i	$0.736907\pi$
$608$	7.90665	−	10.5247i	0.320657	−	0.426835i
$609$	4.90575	−	10.4741i	0.198791	−	0.424432i
$610$	1.78094	+	0.845007i	0.0721080	+	0.0342133i
$611$	0.261810	+	0.151156i	0.0105917	+	0.00611512i
$612$	−10.9036	−	12.4237i	−0.440752	−	0.502198i
$613$	−0.915202	−	1.58518i	−0.0369647	−	0.0640247i	0.846951	−	0.531671i	$-0.178436\pi$
$613$	−0.915202	−	1.58518i	−0.0369647	−	0.0640247i	−0.883916	+	0.467646i	$0.845102\pi$
$614$	−19.2934	+	13.3180i	−0.778616	+	0.537471i
$615$	−0.0745439	−	0.259642i	−0.00300590	−	0.0104698i
$616$	1.97926	+	41.4352i	0.0797467	+	1.66947i
$617$	−15.1569	+	26.2525i	−0.610194	+	1.05689i	0.381014	+	0.924569i	$0.375575\pi$
$617$	−15.1569	+	26.2525i	−0.610194	+	1.05689i	−0.991207	+	0.132317i	$0.957758\pi$
$618$	3.26953	−	19.8266i	0.131520	−	0.797543i
$619$	9.24428	−	16.0116i	0.371559	−	0.643559i	−0.618246	−	0.785984i	$-0.712157\pi$
$619$	9.24428	−	16.0116i	0.371559	−	0.643559i	0.989806	+	0.142425i	$0.0454900\pi$
$620$	−0.347569	−	2.13796i	−0.0139587	−	0.0858626i
$621$	27.1362	+	5.73985i	1.08894	+	0.230332i
$622$	−1.53981	+	1.06292i	−0.0617409	+	0.0426191i
$623$	−40.0986	−	7.87859i	−1.60652	−	0.315649i
$624$	0.226215	−	0.155395i	0.00905586	−	0.00622079i
$625$	−12.3534	−	21.3967i	−0.494137	−	0.855870i
$626$	−8.81419	−	12.7688i	−0.352286	−	0.510345i
$627$	16.0772	+	15.5153i	0.642060	+	0.619620i
$628$	−13.0599	−	4.95218i	−0.521147	−	0.197613i
$629$			8.72165i			0.347755i
$630$	−0.676986	−	1.41686i	−0.0269718	−	0.0564489i
$631$			36.1728i			1.44001i	0.693966	+	0.720007i	$0.255862\pi$
$631$			36.1728i			1.44001i	−0.693966	+	0.720007i	$0.744138\pi$
$632$	−4.66363	+	1.14988i	−0.185509	+	0.0457396i
$633$	−2.21482	+	8.89569i	−0.0880313	+	0.353572i
$634$	22.7913	−	15.7326i	0.905159	−	0.624821i
$635$	0.885490	+	1.53371i	0.0351396	+	0.0608635i
$636$	−12.7587	−	27.0490i	−0.505917	−	1.07256i
$637$	0.274746	−	0.0374802i	0.0108858	−	0.00148502i
$638$	11.2402	+	16.2833i	0.445004	+	0.644663i
$639$	10.7734	+	17.2157i	0.426190	+	0.681044i
$640$	−0.0640220	−	1.58140i	−0.00253069	−	0.0625104i
$641$	7.71021	−	13.3545i	0.304535	−	0.527470i	−0.672623	−	0.739986i	$-0.734832\pi$
$641$	7.71021	−	13.3545i	0.304535	−	0.527470i	0.977158	+	0.212516i	$0.0681657\pi$
$642$	−1.90411	−	5.05619i	−0.0751491	−	0.199552i
$643$	−22.4330	+	38.8551i	−0.884670	+	1.53229i	−0.0385791	+	0.999256i	$0.512283\pi$
$643$	−22.4330	+	38.8551i	−0.884670	+	1.53229i	−0.846091	+	0.533038i	$0.821050\pi$
$644$	13.3118	+	24.9120i	0.524558	+	0.981672i
$645$	−2.13977	−	0.532754i	−0.0842534	−	0.0209772i
$646$	−5.15055	−	7.46144i	−0.202646	−	0.293566i
$647$	−15.0162	−	26.0087i	−0.590346	−	1.02251i	−0.994186	−	0.107680i	$-0.965658\pi$
$647$	−15.0162	−	26.0087i	−0.590346	−	1.02251i	0.403840	−	0.914830i	$-0.367675\pi$
$648$	24.8928	+	5.32451i	0.977880	+	0.209167i
$649$	34.4151	+	19.8695i	1.35091	+	0.779948i
$650$	0.119603	−	0.252075i	0.00469120	−	0.00988718i
$651$	20.2998	+	29.0958i	0.795611	+	1.14035i
$652$	−30.6499	+	25.0276i	−1.20034	+	0.980157i
$653$	−12.1626	−	21.0663i	−0.475960	−	0.824387i	0.523661	−	0.851927i	$-0.324566\pi$
$653$	−12.1626	−	21.0663i	−0.475960	−	0.824387i	−0.999621	+	0.0275398i	$0.991233\pi$
$654$	3.68592	−	22.3516i	0.144131	−	0.874016i
$655$	−2.00733	−	1.15893i	−0.0784328	−	0.0452832i
$656$	1.41261	+	4.22979i	0.0551532	+	0.165146i
$657$	−17.9208	+	33.7580i	−0.699158	+	1.31703i
$658$	−16.9848	+	22.9544i	−0.662135	+	0.894857i
$659$	25.8393	−	14.9183i	1.00655	−	0.581135i	0.0963736	−	0.995345i	$-0.469276\pi$
$659$	25.8393	−	14.9183i	1.00655	−	0.581135i	0.910181	+	0.414211i	$0.135942\pi$
$660$	2.67708	+	0.222319i	0.104205	+	0.00865375i
$661$			19.0312i			0.740229i	0.928986	+	0.370115i	$0.120682\pi$
$661$			19.0312i			0.740229i	−0.928986	+	0.370115i	$0.879318\pi$
$662$	−3.18562	−	4.61490i	−0.123813	−	0.179363i
$663$	−0.0521620	−	0.181684i	−0.00202581	−	0.00705602i
$664$	27.2134	−	26.1430i	1.05608	−	1.01454i
$665$	−0.278760	−	0.814928i	−0.0108098	−	0.0316016i
$666$	−8.01836	−	10.7752i	−0.310705	−	0.417530i
$667$	11.6675	+	6.73622i	0.451767	+	0.260828i
$668$	−10.9594	−	13.4213i	−0.424031	−	0.519288i
$669$	−29.9502	+	31.0348i	−1.15794	+	1.19988i
$670$	−0.334925	−	0.158913i	−0.0129393	−	0.00613935i
$671$	27.6166	−	47.8334i	1.06613	−	1.84659i
$672$	12.1651	+	22.8913i	0.469280	+	0.883050i
$673$	17.5875	+	30.4624i	0.677948	+	1.17424i	0.975598	+	0.219565i	$0.0704638\pi$
$673$	17.5875	+	30.4624i	0.677948	+	1.17424i	−0.297650	+	0.954675i	$0.596203\pi$
$674$	−0.977468	−	12.1041i	−0.0376506	−	0.466233i
$675$	24.6045	−	8.02148i	0.947028	−	0.308747i
$676$	−25.6600	+	4.17155i	−0.986923	+	0.160444i
$677$		−	17.4037i		−	0.668877i	−0.942418	−	0.334439i	$-0.891453\pi$
$677$		−	17.4037i		−	0.668877i	0.942418	−	0.334439i	$-0.108547\pi$
$678$	−8.05771	+	3.03445i	−0.309454	+	0.116537i
$679$	−17.7936	+	20.3857i	−0.682854	+	0.782332i
$680$	−1.04706	−	0.303194i	−0.0401529	−	0.0116270i
$681$	−13.3454	−	3.32269i	−0.511396	−	0.127326i
$682$	−60.4944	+	4.88523i	−2.31645	+	0.187065i
$683$	6.86600	−	3.96409i	0.262720	−	0.151682i	−0.362855	−	0.931846i	$-0.618198\pi$
$683$	6.86600	−	3.96409i	0.262720	−	0.151682i	0.625575	+	0.780164i	$0.284865\pi$
$684$	13.2230	+	4.48303i	0.505595	+	0.171413i
$685$			1.45860i			0.0557304i
$686$	0.580143	+	26.1852i	0.0221499	+	0.999755i
$687$	−13.0873	−	12.6299i	−0.499310	−	0.481859i
$688$	35.6678	+	7.27771i	1.35982	+	0.277460i
$689$		−	0.341996i		−	0.0130290i
$690$	1.71175	−	0.644628i	0.0651653	−	0.0245406i
$691$	30.9237			1.17639			0.588196	−	0.808718i	$-0.299838\pi$
$691$	30.9237			1.17639			0.588196	+	0.808718i	$0.299838\pi$
$692$	14.5707	+	5.52505i	0.553894	+	0.210031i
$693$	−41.0978	+	15.7118i	−1.56118	+	0.596842i
$694$	−4.44315	−	6.43665i	−0.168660	−	0.244332i
$695$		−	1.27779i		−	0.0484695i
$696$	10.6940	+	6.20665i	0.405354	+	0.235263i
$697$	3.07141			0.116338
$698$	12.9586	−	27.3115i	0.490489	−	1.03375i
$699$	14.2000	+	3.53548i	0.537094	+	0.133724i
$700$	22.3781	+	13.9195i	0.845813	+	0.526106i
$701$	−24.8836			−0.939841			−0.469921	−	0.882709i	$-0.655717\pi$
$701$	−24.8836			−0.939841			−0.469921	+	0.882709i	$0.655717\pi$
$702$	0.231477	+	0.176506i	0.00873654	+	0.00666180i
$703$	−3.68347	−	6.37995i	−0.138925	−	0.240624i
$704$	−44.3109	−	1.77861i	−1.67003	−	0.0670340i
$705$	1.33059	+	1.28409i	0.0501129	+	0.0483615i
$706$	−6.04559	+	0.488212i	−0.227529	+	0.0183741i
$707$	−10.5368	−	2.07028i	−0.396278	−	0.0778609i
$708$	24.7483	+	2.05523i	0.930100	+	0.0772404i
$709$	−45.0690			−1.69260			−0.846302	−	0.532704i	$-0.821176\pi$
$709$	−45.0690			−1.69260			−0.846302	+	0.532704i	$0.821176\pi$
$710$	1.20999	+	0.574107i	0.0454100	+	0.0215458i
$711$	−2.70262	−	4.31874i	−0.101356	−	0.161965i
$712$	12.1511	−	41.9630i	0.455382	−	1.57263i
$713$	−35.7885	+	20.6625i	−1.34029	+	0.773818i
$714$	17.6084	−	2.95294i	0.658978	−	0.110511i
$715$	0.0266030	+	0.0153593i	0.000994896	+	0.000574404i
$716$	5.38305	+	33.1122i	0.201174	+	1.23746i
$717$	−11.8845	+	47.7334i	−0.443835	+	1.78264i
$718$	−18.4384	+	1.48899i	−0.688114	+	0.0555687i
$719$	5.12633	−	8.87906i	0.191180	−	0.331133i	−0.754462	−	0.656344i	$-0.772102\pi$
$719$	5.12633	−	8.87906i	0.191180	−	0.331133i	0.945641	+	0.325211i	$0.105435\pi$
$720$	1.57234	−	0.588045i	0.0585976	−	0.0219151i
$721$	16.3517	+	14.2725i	0.608969	+	0.531535i
$722$	−17.3572	−	8.23552i	−0.645967	−	0.306494i
$723$	−8.62464	+	34.6403i	−0.320754	+	1.28829i
$724$	7.93456	+	3.00870i	0.294886	+	0.111817i
$725$	12.5702			0.466845
$726$	7.86282	−	47.6805i	0.291817	−	1.76959i
$727$	12.2970	+	21.2990i	0.456069	+	0.789935i	0.998749	−	0.0500046i	$-0.0159236\pi$
$727$	12.2970	+	21.2990i	0.456069	+	0.789935i	−0.542680	+	0.839940i	$0.682590\pi$
$728$	0.0141439	+	0.296099i	0.000524209	+	0.0109741i
$729$	2.87553	+	26.8464i	0.106501	+	0.994313i
$730$	0.202878	+	2.51226i	0.00750883	+	0.0929829i
$731$	12.5361	−	21.7131i	0.463664	−	0.803090i
$732$	2.85657	−	34.3977i	0.105582	−	1.27137i
$733$	32.8704	−	18.9777i	1.21409	−	0.700958i	0.250446	−	0.968131i	$-0.419423\pi$
$733$	32.8704	−	18.9777i	1.21409	−	0.700958i	0.963649	+	0.267173i	$0.0860894\pi$
$734$	−2.34477	−	29.0355i	−0.0865469	−	1.07172i
$735$	1.68614	+	0.183556i	0.0621941	+	0.00677057i
$736$	−27.7779	+	11.8394i	−1.02391	+	0.436407i
$737$	−5.19362	+	8.99561i	−0.191309	+	0.331357i
$738$	−3.79459	+	2.82374i	−0.139681	+	0.103943i
$739$	−43.7280	+	25.2464i	−1.60856	+	0.928702i	−0.618866	+	0.785496i	$0.712408\pi$
$739$	−43.7280	+	25.2464i	−1.60856	+	0.928702i	−0.989693	+	0.143206i	$0.954259\pi$
$740$	−0.828192	−	0.314042i	−0.0304450	−	0.0115444i
$741$	0.114889	+	0.110873i	0.00422054	+	0.00407303i
$742$	32.0958	+	3.65628i	1.17827	+	0.134226i
$743$	4.15036	+	2.39621i	0.152262	+	0.0879084i	0.574195	−	0.818718i	$-0.305315\pi$
$743$	4.15036	+	2.39621i	0.152262	+	0.0879084i	−0.421933	+	0.906627i	$0.638648\pi$
$744$	−32.8887	+	18.8887i	−1.20576	+	0.692493i
$745$	−1.27159	−	0.734154i	−0.0465875	−	0.0268973i
$746$	13.5895	+	6.44787i	0.497548	+	0.236073i
$747$	35.3527	+	18.7674i	1.29349	+	0.686663i
$748$	−10.8293	+	28.5592i	−0.395960	+	1.04423i
$749$	5.72625	+	1.12510i	0.209233	+	0.0411101i
$750$	2.16908	−	2.64406i	0.0792037	−	0.0965472i
$751$	16.4932	−	9.52236i	0.601846	−	0.347476i	−0.167921	−	0.985800i	$-0.553705\pi$
$751$	16.4932	−	9.52236i	0.601846	−	0.347476i	0.769767	+	0.638324i	$0.220372\pi$
$752$	−22.8516	−	20.2404i	−0.833313	−	0.738093i
$753$	5.56065	+	19.3681i	0.202641	+	0.705814i
$754$	0.0803233	+	0.116362i	0.00292520	+	0.00423765i
$755$	−0.313673			−0.0114157
$756$	−19.0395	+	19.8367i	−0.692461	+	0.721455i
$757$	−8.47980			−0.308203			−0.154102	−	0.988055i	$-0.549248\pi$
$757$	−8.47980			−0.308203			−0.154102	+	0.988055i	$0.549248\pi$
$758$	−8.16949	−	11.8349i	−0.296729	−	0.429862i
$759$	−14.1430	−	49.2609i	−0.513357	−	1.78806i
$760$	0.893982	−	0.220422i	0.0324281	−	0.00799555i
$761$	−21.8790	+	12.6318i	−0.793112	+	0.457904i	−0.841057	−	0.540946i	$-0.818066\pi$
$761$	−21.8790	+	12.6318i	−0.793112	+	0.457904i	0.0479448	+	0.998850i	$0.484733\pi$
$762$	19.6677	−	23.9745i	0.712487	−	0.868504i
$763$	18.4341	+	16.0901i	0.667360	+	0.582502i
$764$	1.63434	+	0.619724i	0.0591283	+	0.0224208i
$765$	−0.0411147	−	1.15547i	−0.00148651	−	0.0417760i
$766$	−13.9739	−	6.63027i	−0.504899	−	0.239561i
$767$	0.245932	+	0.141989i	0.00888011	+	0.00512693i
$768$	−25.5184	+	10.8078i	−0.920817	+	0.389995i
$769$	13.9907	+	8.07751i	0.504516	+	0.291282i	0.730577	−	0.682831i	$-0.239251\pi$
$769$	13.9907	+	8.07751i	0.504516	+	0.291282i	−0.226061	+	0.974113i	$0.572585\pi$
$770$	−1.72585	+	2.33244i	−0.0621955	+	0.0840554i
$771$	−31.4812	−	30.3810i	−1.13377	−	1.09414i
$772$	−10.4468	+	27.5504i	−0.375989	+	0.991560i
$773$	−3.05215	+	1.76216i	−0.109778	+	0.0633805i	−0.553884	−	0.832594i	$-0.686855\pi$
$773$	−3.05215	+	1.76216i	−0.109778	+	0.0633805i	0.444106	+	0.895974i	$0.353521\pi$
$774$	4.47451	+	38.3508i	0.160833	+	1.37849i
$775$	−19.2787	+	33.3918i	−0.692513	+	1.19947i
$776$	−20.0403	−	20.8608i	−0.719404	−	0.748860i
$777$	14.4543	−	1.23995i	0.518546	−	0.0444828i
$778$	−0.214663	−	2.65820i	−0.00769603	−	0.0953010i
$779$	−2.24676	+	1.29717i	−0.0804986	+	0.0464759i
$780$	0.0191306	+	0.00158871i	0.000684985	+	5.68848e-5i
$781$	18.7630	−	32.4985i	0.671394	−	1.16289i
$782$	1.67403	+	20.7297i	0.0598631	+	0.741293i
$783$	−2.71396	+	12.8308i	−0.0969892	+	0.458534i
$784$	−27.9396	−	1.83821i	−0.997843	−	0.0656503i
$785$	−0.488478	−	0.846068i	−0.0174345	−	0.0301975i
$786$	−6.60361	+	40.0446i	−0.235543	+	1.42834i
$787$	4.79632			0.170970			0.0854852	−	0.996339i	$-0.472756\pi$
$787$	4.79632			0.170970			0.0854852	+	0.996339i	$0.472756\pi$
$788$	15.1006	−	39.8234i	0.537937	−	1.41865i
$789$	−2.49772	+	10.0319i	−0.0889212	+	0.357146i
$790$	−0.303537	−	0.144020i	−0.0107994	−	0.00512402i
$791$	1.79299	−	9.12554i	0.0637514	−	0.324467i
$792$	−12.8771	−	45.2396i	−0.457568	−	1.60752i
$793$	0.197351	−	0.341821i	0.00700812	−	0.0121384i
$794$	49.5296	−	3.99976i	1.75774	−	0.141946i
$795$	0.505401	−	2.02991i	0.0179247	−	0.0719936i
$796$	−52.3562	+	8.51155i	−1.85572	+	0.301684i
$797$	34.8677	+	20.1309i	1.23508	+	0.713073i	0.968084	−	0.250625i	$-0.0806362\pi$
$797$	34.8677	+	20.1309i	1.23508	+	0.713073i	0.266994	+	0.963698i	$0.413969\pi$
$798$	−11.6335	+	9.59676i	−0.411823	+	0.339722i
$799$	−18.2082	+	10.5125i	−0.644159	+	0.371906i
$800$	−16.9221	+	22.5254i	−0.598286	+	0.796393i
$801$	46.3076	−	1.64775i	1.63620	−	0.0582205i
$802$	−23.9021	−	11.3409i	−0.844012	−	0.400461i
$803$	70.6217			2.49219
$804$	−0.537209	+	6.46887i	−0.0189459	+	0.228139i
$805$	−0.380897	+	1.93860i	−0.0134249	+	0.0683267i
$806$	−0.432297	+	0.0349102i	−0.0152270	+	0.00122966i
$807$	−1.08490	−	1.04698i	−0.0381902	−	0.0368555i
$808$	3.19298	−	11.0267i	0.112329	−	0.387919i
$809$	3.05446	+	5.29049i	0.107389	+	0.186004i	0.914712	−	0.404107i	$-0.132418\pi$
$809$	3.05446	+	5.29049i	0.107389	+	0.186004i	−0.807323	+	0.590110i	$0.799084\pi$
$810$	1.11309	+	1.38973i	0.0391099	+	0.0488300i
$811$	39.5573			1.38904			0.694522	−	0.719471i	$-0.255616\pi$
$811$	39.5573			1.38904			0.694522	+	0.719471i	$0.255616\pi$
$812$	−11.7791	+	6.29419i	−0.413366	+	0.220883i
$813$	28.8623	+	7.18605i	1.01225	+	0.252026i
$814$	−10.6387	+	22.4220i	−0.372885	+	0.785892i
$815$	−2.76778			−0.0969510
$816$	1.49309	+	19.0286i	0.0522685	+	0.666133i
$817$			21.1778i			0.740916i
$818$	3.25545	+	4.71607i	0.113824	+	0.164893i
$819$	−0.293688	+	0.112278i	−0.0102623	+	0.00392330i
$820$	−0.110593	+	0.291656i	−0.00386207	+	0.0101851i
$821$	−30.0345			−1.04821			−0.524106	−	0.851653i	$-0.675600\pi$
$821$	−30.0345			−1.04821			−0.524106	+	0.851653i	$0.675600\pi$
$822$	23.9013	−	9.00098i	0.833654	−	0.313945i
$823$		−	1.84296i		−	0.0642416i	−0.999484	−	0.0321208i	$-0.989774\pi$
$823$		−	1.84296i		−	0.0642416i	0.999484	−	0.0321208i	$-0.0102261\pi$
$824$	−16.7328	+	16.0746i	−0.582914	+	0.559985i
$825$	−34.4088	−	33.2063i	−1.19796	−	1.15609i
$826$	−15.9547	+	21.5624i	−0.555136	+	0.750250i
$827$			20.1939i			0.702212i	0.936336	+	0.351106i	$0.114194\pi$
$827$			20.1939i			0.702212i	−0.936336	+	0.351106i	$0.885806\pi$
$828$	−21.1263	−	24.0715i	−0.734190	−	0.836544i
$829$	−47.6406	+	27.5053i	−1.65463	+	0.955299i	−0.679494	+	0.733681i	$0.737801\pi$
$829$	−47.6406	+	27.5053i	−1.65463	+	0.955299i	−0.975134	+	0.221618i	$0.928866\pi$
$830$	2.63094	−	0.212461i	0.0913211	−	0.00737464i
$831$	20.1277	+	5.01133i	0.698221	+	0.173841i
$832$	−0.316649	−	0.0127101i	−0.0109778	−	0.000440644i
$833$	−7.29651	+	17.8512i	−0.252809	+	0.618508i
$834$	−20.9385	+	7.88521i	−0.725040	+	0.273043i
$835$		−	1.21199i		−	0.0419425i
$836$	−4.13983	−	25.4649i	−0.143179	−	0.880721i
$837$	−29.9216	−	26.8878i	−1.03424	−	0.929379i
$838$	1.00785	+	12.4803i	0.0348155	+	0.431125i
$839$	−14.6061	−	25.2985i	−0.504258	−	0.873400i	−0.999988	−	0.00492355i	$-0.998433\pi$
$839$	−14.6061	−	25.2985i	−0.504258	−	0.873400i	0.495730	−	0.868477i	$-0.334901\pi$
$840$	−0.353623	+	1.77839i	−0.0122011	+	0.0613603i
$841$	11.3149	−	19.5980i	0.390170	−	0.675794i
$842$	38.6677	+	18.3468i	1.33258	+	0.632272i
$843$	−26.2307	+	27.1806i	−0.903432	+	0.936151i
$844$	8.19919	−	6.69515i	0.282228	−	0.230457i
$845$	−1.57476	−	0.909188i	−0.0541734	−	0.0312770i
$846$	12.8306	−	29.7276i	0.441124	−	1.02206i
$847$	39.3238	+	34.3236i	1.35118	+	1.17937i
$848$	−6.90406	+	33.8366i	−0.237086	+	1.16195i
$849$	5.05798	+	17.6173i	0.173589	+	0.604623i
$850$	11.0234	+	15.9692i	0.378098	+	0.547739i
$851$			16.8987i			0.579278i
$852$	1.94078	−	23.3701i	0.0664901	−	0.800648i
$853$	22.5023	−	12.9917i	0.770464	−	0.444827i	−0.0625764	−	0.998040i	$-0.519932\pi$
$853$	22.5023	−	12.9917i	0.770464	−	0.444827i	0.833040	+	0.553213i	$0.186598\pi$
$854$	29.9695	+	22.1754i	1.02553	+	0.758828i
$855$	0.518071	+	0.827868i	0.0177176	+	0.0283125i
$856$	−1.73523	+	5.99248i	−0.0593089	+	0.204819i
$857$	−8.54089	−	4.93108i	−0.291751	−	0.168443i	0.346980	−	0.937872i	$-0.387207\pi$
$857$	−8.54089	−	4.93108i	−0.291751	−	0.168443i	−0.638731	+	0.769430i	$0.720540\pi$
$858$	0.0875173	−	0.530709i	0.00298779	−	0.0181181i
$859$	10.5428	+	18.2607i	0.359717	+	0.623048i	0.987913	−	0.155007i	$-0.0495399\pi$
$859$	10.5428	+	18.2607i	0.359717	+	0.623048i	−0.628196	+	0.778055i	$0.716207\pi$
$860$	1.61045	+	1.97223i	0.0549160	+	0.0672526i
$861$	−0.436660	−	5.09024i	−0.0148813	−	0.173475i
$862$	−8.95216	+	18.8676i	−0.304912	+	0.642632i
$863$	43.2668	+	24.9801i	1.47282	+	0.850332i	0.999532	−	0.0305776i	$-0.00973468\pi$
$863$	43.2668	+	24.9801i	1.47282	+	0.850332i	0.473285	+	0.880909i	$0.343068\pi$
$864$	−19.3388	−	22.1362i	−0.657919	−	0.753089i
$865$	0.544985	+	0.943942i	0.0185301	+	0.0320950i
$866$	6.80968	+	9.86497i	0.231402	+	0.335225i
$867$	−15.8159	−	3.93780i	−0.537137	−	0.133735i
$868$	1.34543	−	40.9436i	0.0456669	−	1.38972i
$869$	−4.70690	+	8.15258i	−0.159671	+	0.276557i
$870$	0.304798	+	0.809365i	0.0103336	+	0.0274401i
$871$	−0.0371140	+	0.0642833i	−0.00125756	+	0.00217816i
$872$	−18.8638	+	18.1218i	−0.638807	+	0.613680i
$873$	14.3864	−	27.1001i	0.486906	−	0.917200i
$874$	−9.97946	−	14.4569i	−0.337560	−	0.489013i
$875$	1.19557	+	3.49512i	0.0404175	+	0.118157i
$876$	39.9150	−	18.8275i	1.34860	−	0.636121i
$877$	−12.6568	−	21.9223i	−0.427391	−	0.740262i	0.569250	−	0.822165i	$-0.307234\pi$
$877$	−12.6568	−	21.9223i	−0.427391	−	0.740262i	−0.996640	+	0.0819023i	$0.973900\pi$
$878$	34.9299	−	24.1117i	1.17883	−	0.813731i
$879$	−0.315368	+	1.26666i	−0.0106371	+	0.0427233i
$880$	−2.32200	−	2.05667i	−0.0782745	−	0.0693303i
$881$		−	40.8595i		−	1.37659i	−0.725430	−	0.688296i	$-0.758359\pi$
$881$		−	40.8595i		−	1.37659i	0.725430	−	0.688296i	$-0.241641\pi$
$882$	−7.39725	−	28.7625i	−0.249078	−	0.968483i
$883$		−	9.44199i		−	0.317748i	−0.987299	−	0.158874i	$-0.949214\pi$
$883$		−	9.44199i		−	0.317748i	0.987299	−	0.158874i	$-0.0507864\pi$
$884$	−0.0773873	+	0.204086i	−0.00260282	+	0.00686416i
$885$	1.24990	+	1.20621i	0.0420148	+	0.0405464i
$886$	−3.81444	−	5.52586i	−0.128149	−	0.185645i
$887$	−6.78035	−	11.7439i	−0.227662	−	0.394322i	0.729453	−	0.684031i	$-0.239775\pi$
$887$	−6.78035	−	11.7439i	−0.227662	−	0.394322i	−0.957115	+	0.289709i	$0.906441\pi$
$888$	−0.0352839	+	15.5090i	−0.00118405	+	0.520449i
$889$	10.8406	+	31.6914i	0.363581	+	1.06289i
$890$	2.51476	−	1.73591i	0.0842950	−	0.0581879i
$891$	41.3237	−	27.9527i	1.38439	−	0.936452i
$892$	49.1566	−	7.99140i	1.64588	−	0.267572i
$893$	8.87962	−	15.3799i	0.297145	−	0.514670i
$894$	−4.18322	+	25.3673i	−0.139908	+	0.848408i
$895$	−1.17324	+	2.03210i	−0.0392169	+	0.0679257i
$896$	4.57812	−	29.5811i	0.152944	−	0.988235i
$897$	−0.101067	−	0.352022i	−0.00337452	−	0.0117537i
$898$	12.8121	−	8.84407i	0.427546	−	0.295130i
$899$	−9.76982	−	16.9218i	−0.325842	−	0.564375i
$900$	−28.3004	−	9.59473i	−0.943345	−	0.319824i
$901$	20.5984	+	11.8925i	0.686231	+	0.396195i
$902$	7.89615	+	3.74651i	0.262913	+	0.124745i
$903$	−37.7673	−	17.6891i	−1.25682	−	0.588655i
$904$	9.54982	+	2.76532i	0.317622	+	0.0919731i
$905$	0.296775	+	0.514030i	0.00986514	+	0.0170869i
$906$	1.93566	+	5.13998i	0.0643081	+	0.170765i
$907$	30.7779	+	17.7696i	1.02196	+	0.590031i	0.914672	−	0.404196i	$-0.132449\pi$
$907$	30.7779	+	17.7696i	1.02196	+	0.590031i	0.107292	+	0.994228i	$0.465782\pi$
$908$	10.0441	+	12.3005i	0.333325	+	0.408205i
$909$	12.1684	−	0.432985i	0.403599	−	0.0143612i
$910$	−0.0123331	+	0.0166678i	−0.000408838	+	0.000552533i
$911$	−12.9375	+	7.46947i	−0.428638	+	0.247475i	−0.698766	−	0.715350i	$-0.746267\pi$
$911$	−12.9375	+	7.46947i	−0.428638	+	0.247475i	0.270128	+	0.962824i	$0.412934\pi$
$912$	−9.12865	−	13.2889i	−0.302280	−	0.440041i
$913$		−	73.9578i		−	2.44764i
$914$	−15.2667	+	10.5384i	−0.504977	+	0.348580i
$915$	1.67651	−	1.73723i	0.0554238	−	0.0574310i
$916$	3.36994	+	20.7291i	0.111346	+	0.684909i
$917$	−33.0262	−	28.8267i	−1.09062	−	0.951943i
$918$	−18.6802	+	7.80405i	−0.616540	+	0.257572i
$919$	−16.9214	−	9.76960i	−0.558187	−	0.322269i	0.194231	−	0.980956i	$-0.437779\pi$
$919$	−16.9214	−	9.76960i	−0.558187	−	0.322269i	−0.752417	+	0.658687i	$0.771112\pi$
$920$	−2.02873	−	0.587455i	−0.0668853	−	0.0193678i
$921$	7.92334	+	27.5975i	0.261083	+	0.909370i
$922$	−20.2334	+	42.6439i	−0.666352	+	1.40440i
$923$	0.134082	−	0.232237i	0.00441336	−	0.00764417i
$924$	48.8706	+	13.8872i	1.60772	+	0.456854i
$925$	7.88347	+	13.6546i	0.259207	+	0.448959i
$926$	16.2041	−	1.30856i	0.532500	−	0.0430020i
$927$	−21.7374	−	11.5396i	−0.713950	−	0.379009i
$928$	−5.59801	−	13.1342i	−0.183764	−	0.431151i
$929$		−	4.02799i		−	0.132154i	−0.997815	−	0.0660771i	$-0.978952\pi$
$929$		−	4.02799i		−	0.132154i	0.997815	−	0.0660771i	$-0.0210483\pi$
$930$	−2.61748	−	0.431639i	−0.0858307	−	0.0141540i
$931$	−2.20176	−	16.1399i	−0.0721599	−	0.528963i
$932$	−10.6873	−	13.0882i	−0.350075	−	0.428718i
$933$	0.632366	+	2.20257i	0.0207027	+	0.0721091i
$934$	−2.76267	−	34.2105i	−0.0903973	−	1.11940i
$935$	−1.85017	+	1.06820i	−0.0605070	+	0.0349337i
$936$	−0.0920208	−	0.323286i	−0.00300779	−	0.0105669i
$937$			18.0167i			0.588578i	0.955716	+	0.294289i	$0.0950829\pi$
$937$			18.0167i			0.588578i	−0.955716	+	0.294289i	$0.904917\pi$
$938$	−5.63610	−	4.17034i	−0.184025	−	0.136166i
$939$	−18.2648	+	5.24387i	−0.596048	+	0.171127i
$940$	−0.342624	−	2.10754i	−0.0111752	−	0.0687405i
$941$		−	31.6684i		−	1.03236i	−0.856481	−	0.516179i	$-0.827354\pi$
$941$		−	31.6684i		−	1.03236i	0.856481	−	0.516179i	$-0.172646\pi$
$942$	−10.8497	+	13.2254i	−0.353501	+	0.430908i
$943$	5.95103			0.193792
$944$	−21.4658	−	19.0130i	−0.698652	−	0.618819i
$945$	−1.90910	+	0.232411i	−0.0621031	+	0.00756032i
$946$	58.7141	−	40.5297i	1.90896	−	1.31773i
$947$		−	43.0920i		−	1.40030i	−0.713995	−	0.700151i	$-0.753116\pi$
$947$		−	43.0920i		−	1.40030i	0.713995	−	0.700151i	$-0.246884\pi$
$948$	−0.486864	+	5.86264i	−0.0158126	+	0.190410i
$949$	0.504668			0.0163822
$950$	−14.8080	−	7.02602i	−0.480436	−	0.227954i
$951$	−9.35988	−	32.6011i	−0.303515	−	1.05716i
$952$	−18.3258	−	9.44455i	−0.593942	−	0.306100i
$953$	−30.6261			−0.992076			−0.496038	−	0.868301i	$-0.665212\pi$
$953$	−30.6261			−0.992076			−0.496038	+	0.868301i	$0.665212\pi$
$954$	−36.3818	+	4.24478i	−1.17790	+	0.137430i
$955$	0.0611290	+	0.105879i	0.00197809	+	0.00342615i
$956$	43.9960	−	35.9255i	1.42293	−	1.16191i
$957$	23.2920	−	6.68719i	0.752922	−	0.216166i
$958$	−4.37805	−	54.2140i	−0.141448	−	1.75157i
$959$	−5.31848	+	27.0688i	−0.171743	+	0.874096i
$960$	−1.86068	−	0.543383i	−0.0600532	−	0.0175376i
$961$	28.9354			0.933401
$962$	−0.0760247	+	0.160230i	−0.00245113	+	0.00516601i
$963$	−6.61291	+	0.235306i	−0.213098	+	0.00758263i
$964$	31.9281	−	26.0713i	1.02833	−	0.839700i
$965$	−1.78482	+	1.03046i	−0.0574552	+	0.0331718i
$966$	34.1172	−	5.72147i	1.09770	−	0.184085i
$967$	−30.1593	−	17.4125i	−0.969858	−	0.559948i	−0.0706649	−	0.997500i	$-0.522512\pi$
$967$	−30.1593	−	17.4125i	−0.969858	−	0.559948i	−0.899193	+	0.437552i	$0.855845\pi$
$968$	−40.2403	+	38.6574i	−1.29337	+	1.24250i
$969$	−10.6730	+	3.06424i	−0.342865	+	0.0984377i
$970$	−0.162865	−	2.01678i	−0.00522928	−	0.0647549i
$971$	−11.0289	+	19.1026i	−0.353934	+	0.613032i	−0.986935	−	0.161119i	$-0.948490\pi$
$971$	−11.0289	+	19.1026i	−0.353934	+	0.613032i	0.633001	+	0.774151i	$0.281823\pi$
$972$	15.9038	−	26.8155i	0.510115	−	0.860106i
$973$	4.65920	−	23.7133i	0.149367	−	0.760214i
$974$	3.11562	−	6.56648i	0.0998309	−	0.210404i
$975$	−0.245888	−	0.237294i	−0.00787472	−	0.00759950i
$976$	−26.4261	+	29.8353i	−0.845879	+	0.955003i
$977$	33.2394			1.06342			0.531712	−	0.846925i	$-0.321549\pi$
$977$	33.2394			1.06342			0.531712	+	0.846925i	$0.321549\pi$
$978$	17.0798	+	45.3539i	0.546152	+	1.45026i
$979$	−42.8100	−	74.1491i	−1.36821	−	2.36982i
$980$	−1.43239	−	1.33564i	−0.0457561	−	0.0426653i
$981$	−24.5057	−	13.0092i	−0.782408	−	0.415350i
$982$	8.93243	−	0.721339i	0.285045	−	0.0230188i
$983$	−9.18829	+	15.9146i	−0.293061	+	0.507597i	−0.974532	−	0.224249i	$-0.928007\pi$
$983$	−9.18829	+	15.9146i	−0.293061	+	0.507597i	0.681471	+	0.731845i	$0.261341\pi$
$984$	5.46166	+	0.0124256i	0.174111	+	0.000396113i
$985$	2.57991	−	1.48951i	0.0822026	−	0.0474597i
$986$	−9.80159	+	0.791527i	−0.312146	+	0.0252074i
$987$	20.0109	+	28.6818i	0.636955	+	0.912951i
$988$	−0.0295835	−	0.181974i	−0.000941177	−	0.00578936i
$989$	24.2893	−	42.0704i	0.772356	−	1.33776i
$990$	1.30374	−	3.02068i	0.0414355	−	0.0960036i
$991$	−11.9336	+	6.88984i	−0.379082	+	0.218863i	−0.677419	−	0.735598i	$-0.736901\pi$
$991$	−11.9336	+	6.88984i	−0.379082	+	0.218863i	0.298337	+	0.954461i	$0.403568\pi$
$992$	43.4756	+	5.27305i	1.38035	+	0.167420i
$993$	−6.60124	+	1.89524i	−0.209484	+	0.0601435i
$994$	20.3616	+	15.0662i	0.645830	+	0.477872i
$995$	−3.21311	−	1.85509i	−0.101862	−	0.0588103i
$996$	−19.7169	−	41.8005i	−0.624752	−	1.32450i
$997$	21.3051	+	12.3005i	0.674739	+	0.389561i	0.797870	−	0.602830i	$-0.205960\pi$
$997$	21.3051	+	12.3005i	0.674739	+	0.389561i	−0.123131	+	0.992390i	$0.539294\pi$
$998$	2.88719	−	6.08504i	0.0913924	−	0.192618i
$999$	−15.6397	+	5.09880i	−0.494818	+	0.161319i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.bj.b.103.8	yes	84
3.2	odd	2		756.2.bj.b.523.35		84
4.3	odd	2	inner	252.2.bj.b.103.7	yes	84
7.3	odd	6		252.2.n.b.31.21	✓	84
9.2	odd	6		756.2.n.b.19.7		84
9.7	even	3		252.2.n.b.187.36	yes	84
12.11	even	2		756.2.bj.b.523.36		84
21.17	even	6		756.2.n.b.199.22		84
28.3	even	6		252.2.n.b.31.36	yes	84
36.7	odd	6		252.2.n.b.187.21	yes	84
36.11	even	6		756.2.n.b.19.22		84
63.38	even	6		756.2.bj.b.451.35		84
63.52	odd	6	inner	252.2.bj.b.115.8	yes	84
84.59	odd	6		756.2.n.b.199.7		84
252.115	even	6	inner	252.2.bj.b.115.7	yes	84
252.227	odd	6		756.2.bj.b.451.36		84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.21	✓	84	7.3	odd	6
252.2.n.b.31.36	yes	84	28.3	even	6
252.2.n.b.187.21	yes	84	36.7	odd	6
252.2.n.b.187.36	yes	84	9.7	even	3
252.2.bj.b.103.7	yes	84	4.3	odd	2	inner
252.2.bj.b.103.8	yes	84	1.1	even	1	trivial
252.2.bj.b.115.7	yes	84	252.115	even	6	inner
252.2.bj.b.115.8	yes	84	63.52	odd	6	inner
756.2.n.b.19.7		84	9.2	odd	6
756.2.n.b.19.22		84	36.11	even	6
756.2.n.b.199.7		84	84.59	odd	6
756.2.n.b.199.22		84	21.17	even	6
756.2.bj.b.451.35		84	63.38	even	6
756.2.bj.b.451.36		84	252.227	odd	6
756.2.bj.b.523.35		84	3.2	odd	2
756.2.bj.b.523.36		84	12.11	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.bj (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.16385 + 0.803396i) q^{2} +(0.477968 + 1.66480i) q^{3} +(0.709111 - 1.87007i) q^{4} +(0.121150 - 0.0699460i) q^{5} +(-1.89378 - 1.55358i) q^{6} +(2.50334 - 0.856310i) q^{7} +(0.677105 + 2.74618i) q^{8} +(-2.54309 + 1.59144i) q^{9} +O(q^{10})\)	\(q+(-1.16385 + 0.803396i) q^{2} +(0.477968 + 1.66480i) q^{3} +(0.709111 - 1.87007i) q^{4} +(0.121150 - 0.0699460i) q^{5} +(-1.89378 - 1.55358i) q^{6} +(2.50334 - 0.856310i) q^{7} +(0.677105 + 2.74618i) q^{8} +(-2.54309 + 1.59144i) q^{9} +(-0.0848066 + 0.178738i) q^{10} +(4.80066 + 2.77166i) q^{11} +(3.45222 + 0.286691i) q^{12} +(0.0343058 + 0.0198065i) q^{13} +(-2.22557 + 3.00780i) q^{14} +(0.174352 + 0.168258i) q^{15} +(-2.99432 - 2.65217i) q^{16} +(-2.38588 + 1.37749i) q^{17} +(1.68123 - 3.89531i) q^{18} +(1.16353 - 2.01529i) q^{19} +(-0.0448951 - 0.276158i) q^{20} +(2.62210 + 3.75827i) q^{21} +(-7.81400 + 0.631020i) q^{22} +(-4.62277 + 2.66896i) q^{23} +(-4.24820 + 2.43983i) q^{24} +(-2.49022 + 4.31318i) q^{25} +(-0.0558394 + 0.00450931i) q^{26} +(-3.86494 - 3.47307i) q^{27} +(0.173788 - 5.28865i) q^{28} +(-1.26196 - 2.18578i) q^{29} +(-0.338098 - 0.0557544i) q^{30} +7.74180 q^{31} +(5.61570 + 0.681115i) q^{32} +(-2.31969 + 9.31688i) q^{33} +(1.67015 - 3.52000i) q^{34} +(0.243385 - 0.278841i) q^{35} +(1.17277 + 5.88427i) q^{36} +(1.58289 - 2.74164i) q^{37} +(0.264898 + 3.28027i) q^{38} +(-0.0165767 + 0.0665791i) q^{39} +(0.274116 + 0.285339i) q^{40} +(-0.965497 - 0.557430i) q^{41} +(-6.07112 - 2.26749i) q^{42} +(-7.88143 + 4.55034i) q^{43} +(8.58739 - 7.01215i) q^{44} +(-0.196781 + 0.370682i) q^{45} +(3.23600 - 6.82019i) q^{46} +7.63164 q^{47} +(2.98414 - 6.25259i) q^{48} +(5.53347 - 4.28728i) q^{49} +(-0.566944 - 7.02054i) q^{50} +(-3.43361 - 3.31361i) q^{51} +(0.0613661 - 0.0501093i) q^{52} +(-4.31672 - 7.47678i) q^{53} +(7.28848 + 0.937072i) q^{54} +0.775466 q^{55} +(4.04661 + 6.29483i) q^{56} +(3.91117 + 0.973791i) q^{57} +(3.22478 + 1.53007i) q^{58} +7.16882 q^{59} +(0.438289 - 0.206736i) q^{60} -9.96394i q^{61} +(-9.01032 + 6.21973i) q^{62} +(-5.00347 + 6.16160i) q^{63} +(-7.08306 + 3.71891i) q^{64} +0.00554154 q^{65} +(-4.78536 - 12.7071i) q^{66} +1.87383i q^{67} +(0.884147 + 5.43856i) q^{68} +(-6.65281 - 6.42029i) q^{69} +(-0.0592446 + 0.520064i) q^{70} -6.76960i q^{71} +(-6.09233 - 5.90623i) q^{72} +(11.0331 - 6.36998i) q^{73} +(0.360374 + 4.46256i) q^{74} +(-8.37081 - 2.08414i) q^{75} +(-2.94366 - 3.60494i) q^{76} +(14.3911 + 2.82757i) q^{77} +(-0.0341966 - 0.0908059i) q^{78} +1.69822i q^{79} +(-0.548271 - 0.111870i) q^{80} +(3.93464 - 8.09436i) q^{81} +(1.57153 - 0.126909i) q^{82} +(-6.67089 - 11.5543i) q^{83} +(8.88759 - 2.23848i) q^{84} +(-0.192700 + 0.333765i) q^{85} +(5.51710 - 11.6278i) q^{86} +(3.03569 - 3.14563i) q^{87} +(-4.36094 + 15.0602i) q^{88} +(-13.3763 - 7.72281i) q^{89} +(-0.0687802 - 0.589513i) q^{90} +(0.102840 + 0.0202060i) q^{91} +(1.71308 + 10.5375i) q^{92} +(3.70033 + 12.8885i) q^{93} +(-8.88212 + 6.13123i) q^{94} -0.325536i q^{95} +(1.55021 + 9.67455i) q^{96} +(-8.85713 + 5.11366i) q^{97} +(-2.99576 + 9.43533i) q^{98} +(-16.6194 + 0.591366i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

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