LMFDB - Embedded newform 95.2.r.a.67.2

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [95,2,Mod(2,95)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(95, base_ring=CyclotomicField(36)) chi = DirichletCharacter(H, H._module([9, 2])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("95.2"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.r (of order $36$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$8$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			67.2
Character	$\chi$	$=$	95.67
Dual form			95.2.r.a.78.2

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.51450 - 1.06046i) q^{2} +(-1.16461 - 0.101890i) q^{3} +(0.485079 + 1.33274i) q^{4} +(0.762040 - 2.10221i) q^{5} +(1.65575 + 1.38934i) q^{6} +(-4.38823 + 1.17582i) q^{7} +(-0.278366 + 1.03888i) q^{8} +(-1.60848 - 0.283619i) q^{9} +(-3.38342 + 2.37568i) q^{10} +(-0.761040 - 1.31816i) q^{11} +(-0.429136 - 1.60156i) q^{12} +(-0.0120870 - 0.138155i) q^{13} +(7.89287 + 2.87277i) q^{14} +(-1.10168 + 2.37062i) q^{15} +(3.69620 - 3.10148i) q^{16} +(2.90701 - 4.15164i) q^{17} +(2.13527 + 2.13527i) q^{18} +(-4.14601 + 1.34559i) q^{19} +(3.17136 - 0.00413488i) q^{20} +(5.23039 - 0.922259i) q^{21} +(-0.245266 + 2.80340i) q^{22} +(3.12809 - 6.70821i) q^{23} +(0.430040 - 1.18152i) q^{24} +(-3.83859 - 3.20394i) q^{25} +(-0.128202 + 0.222052i) q^{26} +(5.23204 + 1.40192i) q^{27} +(-3.69571 - 5.27802i) q^{28} +(-0.346487 + 1.96502i) q^{29} +(4.18244 - 2.42201i) q^{30} +(-1.08369 - 0.625668i) q^{31} +(-6.74402 + 0.590025i) q^{32} +(0.752009 + 1.61269i) q^{33} +(-8.80531 + 3.20487i) q^{34} +(-0.872178 + 10.1210i) q^{35} +(-0.402250 - 2.28127i) q^{36} +(2.05676 - 2.05676i) q^{37} +(7.70606 + 2.35879i) q^{38} +0.162128i q^{39} +(1.97181 + 1.37685i) q^{40} +(1.05100 + 1.25253i) q^{41} +(-8.89943 - 4.14987i) q^{42} +(-0.801514 + 0.373752i) q^{43} +(1.38761 - 1.65368i) q^{44} +(-1.82195 + 3.16524i) q^{45} +(-11.8513 + 6.84234i) q^{46} +(-2.02502 + 1.41793i) q^{47} +(-4.62065 + 3.23541i) q^{48} +(11.8118 - 6.81954i) q^{49} +(2.41588 + 8.92303i) q^{50} +(-3.80855 + 4.53886i) q^{51} +(0.178262 - 0.0831248i) q^{52} +(-10.1702 - 4.74246i) q^{53} +(-6.43722 - 7.67158i) q^{54} +(-3.35100 + 0.595377i) q^{55} -4.88613i q^{56} +(4.96560 - 1.14465i) q^{57} +(2.60859 - 2.60859i) q^{58} +(-1.86831 - 10.5957i) q^{59} +(-3.69383 - 0.318316i) q^{60} +(-2.79178 + 1.01612i) q^{61} +(0.977745 + 2.09678i) q^{62} +(7.39187 - 0.646704i) q^{63} +(2.48226 + 1.43314i) q^{64} +(-0.299641 - 0.0798700i) q^{65} +(0.571280 - 3.23989i) q^{66} +(8.15144 + 11.6415i) q^{67} +(6.94321 + 1.86043i) q^{68} +(-4.32651 + 7.49374i) q^{69} +(12.0538 - 14.4033i) q^{70} +(-1.79203 + 4.92356i) q^{71} +(0.742391 - 1.59206i) q^{72} +(-0.526410 + 6.01690i) q^{73} +(-5.29607 + 0.933839i) q^{74} +(4.14402 + 4.12246i) q^{75} +(-3.80447 - 4.87285i) q^{76} +(4.88954 + 4.88954i) q^{77} +(0.171931 - 0.245543i) q^{78} +(4.43572 - 3.72201i) q^{79} +(-3.70331 - 10.1336i) q^{80} +(-1.34607 - 0.489931i) q^{81} +(-0.263472 - 3.01150i) q^{82} +(-0.122763 - 0.458159i) q^{83} +(3.76629 + 6.52341i) q^{84} +(-6.51237 - 9.27487i) q^{85} +(1.61024 + 0.283929i) q^{86} +(0.603740 - 2.25319i) q^{87} +(1.58125 - 0.423695i) q^{88} +(1.43212 + 1.20169i) q^{89} +(6.11596 - 2.86163i) q^{90} +(0.215486 + 0.592042i) q^{91} +(10.4577 + 0.914930i) q^{92} +(1.19833 + 0.839078i) q^{93} +4.57054 q^{94} +(-0.330711 + 9.74118i) q^{95} +7.91429 q^{96} +(-0.975134 - 0.682796i) q^{97} +(-25.1208 - 2.19778i) q^{98} +(0.850264 + 2.33608i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8} - 12 q^{10} - 12 q^{11} - 18 q^{12} - 12 q^{13} + 6 q^{15} + 12 q^{16} - 30 q^{17} - 84 q^{20} + 24 q^{21} - 24 q^{22} + 12 q^{25} - 48 q^{26}+ \cdots - 90 q^{98}+O(q^{100}) $ 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8 - 12 * q^10 - 12 * q^11 - 18 * q^12 - 12 * q^13 + 6 * q^15 + 12 * q^16 - 30 * q^17 - 84 * q^20 + 24 * q^21 - 24 * q^22 + 12 * q^25 - 48 * q^26 - 18 * q^27 - 6 * q^30 - 36 * q^31 + 18 * q^32 + 90 * q^33 - 30 * q^35 + 24 * q^36 + 54 * q^38 + 54 * q^40 + 12 * q^41 + 24 * q^42 + 48 * q^43 + 12 * q^45 - 36 * q^46 - 24 * q^47 + 60 * q^48 + 126 * q^50 - 96 * q^51 - 30 * q^53 + 18 * q^55 - 66 * q^57 + 120 * q^58 + 84 * q^60 - 48 * q^61 + 60 * q^62 - 126 * q^63 + 72 * q^65 + 72 * q^66 + 108 * q^67 + 18 * q^68 + 36 * q^70 - 24 * q^71 + 48 * q^72 + 6 * q^73 + 60 * q^76 + 168 * q^77 - 138 * q^78 - 60 * q^80 - 120 * q^81 + 60 * q^82 - 36 * q^85 - 180 * q^86 - 6 * q^87 - 198 * q^88 - 270 * q^90 - 24 * q^91 - 72 * q^92 - 90 * q^93 - 24 * q^95 - 192 * q^96 - 72 * q^97 - 90 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−1.51450	−	1.06046i	−1.07091	−	0.749860i	−0.101384	−	0.994847i	$-0.532327\pi$
$2$	−1.51450	−	1.06046i	−1.07091	−	0.749860i	−0.969526	+	0.244988i	$0.921216\pi$
$3$	−1.16461	−	0.101890i	−0.672390	−	0.0588265i	−0.254152	−	0.967164i	$-0.581796\pi$
$3$	−1.16461	−	0.101890i	−0.672390	−	0.0588265i	−0.418237	+	0.908338i	$0.637352\pi$
$4$	0.485079	+	1.33274i	0.242540	+	0.666372i
$5$	0.762040	−	2.10221i	0.340795	−	0.940138i
$5$	0.762040	−	2.10221i	0.340795	−	0.940138i
$6$	1.65575	+	1.38934i	0.675957	+	0.567196i
$7$	−4.38823	+	1.17582i	−1.65859	+	0.444419i	−0.962001	−	0.273048i	$-0.911968\pi$
$7$	−4.38823	+	1.17582i	−1.65859	+	0.444419i	−0.696593	+	0.717466i	$0.745302\pi$
$8$	−0.278366	+	1.03888i	−0.0984172	+	0.367298i
$9$	−1.60848	−	0.283619i	−0.536161	−	0.0945396i
$10$	−3.38342	+	2.37568i	−1.06993	+	0.751255i
$11$	−0.761040	−	1.31816i	−0.229462	−	0.397440i	0.728187	−	0.685379i	$-0.240363\pi$
$11$	−0.761040	−	1.31816i	−0.229462	−	0.397440i	−0.957649	+	0.287939i	$0.907030\pi$
$12$	−0.429136	−	1.60156i	−0.123881	−	0.462330i
$13$	−0.0120870	−	0.138155i	−0.00335232	−	0.0383172i	0.994334	−	0.106298i	$-0.0338998\pi$
$13$	−0.0120870	−	0.138155i	−0.00335232	−	0.0383172i	−0.997687	+	0.0679810i	$0.978344\pi$
$14$	7.89287	+	2.87277i	2.10946	+	0.767780i
$15$	−1.10168	+	2.37062i	−0.284452	+	0.612091i
$16$	3.69620	−	3.10148i	0.924050	−	0.775370i
$17$	2.90701	−	4.15164i	0.705054	−	1.00692i	−0.293645	−	0.955915i	$-0.594868\pi$
$17$	2.90701	−	4.15164i	0.705054	−	1.00692i	0.998698	−	0.0510063i	$-0.0162429\pi$
$18$	2.13527	+	2.13527i	0.503289	+	0.503289i
$19$	−4.14601	+	1.34559i	−0.951160	+	0.308699i
$19$	−4.14601	+	1.34559i	−0.951160	+	0.308699i
$20$	3.17136	−	0.00413488i	0.709138	−	0.000924588i
$21$	5.23039	−	0.922259i	1.14136	−	0.201253i
$22$	−0.245266	+	2.80340i	−0.0522909	+	0.597687i
$23$	3.12809	−	6.70821i	0.652252	−	1.39876i	−0.250297	−	0.968169i	$-0.580528\pi$
$23$	3.12809	−	6.70821i	0.652252	−	1.39876i	0.902548	−	0.430589i	$-0.141694\pi$
$24$	0.430040	−	1.18152i	0.0877815	−	0.241178i
$25$	−3.83859	−	3.20394i	−0.767718	−	0.640788i
$26$	−0.128202	+	0.222052i	−0.0251425	+	0.0435481i
$27$	5.23204	+	1.40192i	1.00691	+	0.269800i
$28$	−3.69571	−	5.27802i	−0.698423	−	0.997452i
$29$	−0.346487	+	1.96502i	−0.0643410	+	0.364896i	0.935589	+	0.353090i	$0.114869\pi$
$29$	−0.346487	+	1.96502i	−0.0643410	+	0.364896i	−0.999930	+	0.0118058i	$0.996242\pi$
$30$	4.18244	−	2.42201i	0.763605	−	0.442196i
$31$	−1.08369	−	0.625668i	−0.194636	−	0.112373i	0.399515	−	0.916727i	$-0.369179\pi$
$31$	−1.08369	−	0.625668i	−0.194636	−	0.112373i	−0.594151	+	0.804353i	$0.702512\pi$
$32$	−6.74402	+	0.590025i	−1.19218	+	0.104303i
$33$	0.752009	+	1.61269i	0.130908	+	0.280733i
$34$	−8.80531	+	3.20487i	−1.51010	+	0.549631i
$35$	−0.872178	+	10.1210i	−0.147425	+	1.71076i
$36$	−0.402250	−	2.28127i	−0.0670417	−	0.380212i
$37$	2.05676	−	2.05676i	0.338129	−	0.338129i	−0.517534	−	0.855663i	$-0.673150\pi$
$37$	2.05676	−	2.05676i	0.338129	−	0.338129i	0.855663	+	0.517534i	$0.173150\pi$
$38$	7.70606	+	2.35879i	1.25009	+	0.382647i
$39$			0.162128i			0.0259613i
$40$	1.97181	+	1.37685i	0.311771	+	0.217699i
$41$	1.05100	+	1.25253i	0.164138	+	0.195613i	0.841844	−	0.539721i	$-0.181470\pi$
$41$	1.05100	+	1.25253i	0.164138	+	0.195613i	−0.677706	+	0.735333i	$0.737026\pi$
$42$	−8.89943	−	4.14987i	−1.37321	−	0.640339i
$43$	−0.801514	+	0.373752i	−0.122230	+	0.0569966i	−0.482771	−	0.875747i	$-0.660370\pi$
$43$	−0.801514	+	0.373752i	−0.122230	+	0.0569966i	0.360541	+	0.932743i	$0.382592\pi$
$44$	1.38761	−	1.65368i	0.209190	−	0.249302i
$45$	−1.82195	+	3.16524i	−0.271601	+	0.471846i
$46$	−11.8513	+	6.84234i	−1.74738	+	1.00885i
$47$	−2.02502	+	1.41793i	−0.295379	+	0.206827i	−0.711866	−	0.702315i	$-0.752150\pi$
$47$	−2.02502	+	1.41793i	−0.295379	+	0.206827i	0.416488	+	0.909141i	$0.363261\pi$
$48$	−4.62065	+	3.23541i	−0.666934	+	0.466992i
$49$	11.8118	−	6.81954i	1.68740	−	0.974220i
$50$	2.41588	+	8.92303i	0.341656	+	1.26191i
$51$	−3.80855	+	4.53886i	−0.533304	+	0.635567i
$52$	0.178262	−	0.0831248i	0.0247205	−	0.0115273i
$53$	−10.1702	−	4.74246i	−1.39699	−	0.651427i	−0.429205	−	0.903207i	$-0.641206\pi$
$53$	−10.1702	−	4.74246i	−1.39699	−	0.651427i	−0.967784	+	0.251780i	$0.918984\pi$
$54$	−6.43722	−	7.67158i	−0.875995	−	1.04397i
$55$	−3.35100	+	0.595377i	−0.451848	+	0.0802806i
$56$		−	4.88613i		−	0.652936i
$57$	4.96560	−	1.14465i	0.657710	−	0.151613i
$58$	2.60859	−	2.60859i	0.342524	−	0.342524i
$59$	−1.86831	−	10.5957i	−0.243233	−	1.37944i	−0.824561	−	0.565773i	$-0.808578\pi$
$59$	−1.86831	−	10.5957i	−0.243233	−	1.37944i	0.581328	−	0.813669i	$-0.302533\pi$
$60$	−3.69383	−	0.318316i	−0.476871	−	0.0410944i
$61$	−2.79178	+	1.01612i	−0.357451	+	0.130101i	−0.514502	−	0.857489i	$-0.672023\pi$
$61$	−2.79178	+	1.01612i	−0.357451	+	0.130101i	0.157052	+	0.987590i	$0.449801\pi$
$62$	0.977745	+	2.09678i	0.124174	+	0.266292i
$63$	7.39187	−	0.646704i	0.931288	−	0.0814771i
$64$	2.48226	+	1.43314i	0.310283	+	0.179142i
$65$	−0.299641	−	0.0798700i	−0.0371659	−	0.00990666i
$66$	0.571280	−	3.23989i	0.0703197	−	0.398803i
$67$	8.15144	+	11.6415i	0.995857	+	1.42223i	0.904530	+	0.426411i	$0.140222\pi$
$67$	8.15144	+	11.6415i	0.995857	+	1.42223i	0.0913279	+	0.995821i	$0.470889\pi$
$68$	6.94321	+	1.86043i	0.841988	+	0.225610i
$69$	−4.32651	+	7.49374i	−0.520851	+	0.902141i
$70$	12.0538	−	14.4033i	1.44071	−	1.72152i
$71$	−1.79203	+	4.92356i	−0.212675	+	0.584319i	−0.999458	−	0.0329100i	$-0.989523\pi$
$71$	−1.79203	+	4.92356i	−0.212675	+	0.584319i	0.786784	+	0.617229i	$0.211745\pi$
$72$	0.742391	−	1.59206i	0.0874916	−	0.187626i
$73$	−0.526410	+	6.01690i	−0.0616117	+	0.704225i	0.901085	+	0.433642i	$0.142772\pi$
$73$	−0.526410	+	6.01690i	−0.0616117	+	0.704225i	−0.962697	+	0.270582i	$0.912784\pi$
$74$	−5.29607	+	0.933839i	−0.615655	+	0.108557i
$75$	4.14402	+	4.12246i	0.478510	+	0.476021i
$76$	−3.80447	−	4.87285i	−0.436403	−	0.558955i
$77$	4.88954	+	4.88954i	0.557215	+	0.557215i
$78$	0.171931	−	0.245543i	0.0194673	−	0.0278022i
$79$	4.43572	−	3.72201i	0.499058	−	0.418759i	−0.358201	−	0.933644i	$-0.616610\pi$
$79$	4.43572	−	3.72201i	0.499058	−	0.418759i	0.857259	+	0.514885i	$0.172165\pi$
$80$	−3.70331	−	10.1336i	−0.414043	−	1.13298i
$81$	−1.34607	−	0.489931i	−0.149564	−	0.0544368i
$82$	−0.263472	−	3.01150i	−0.0290956	−	0.332564i
$83$	−0.122763	−	0.458159i	−0.0134750	−	0.0502895i	0.958861	−	0.283876i	$-0.0916204\pi$
$83$	−0.122763	−	0.458159i	−0.0134750	−	0.0502895i	−0.972336	+	0.233587i	$0.924954\pi$
$84$	3.76629	+	6.52341i	0.410936	+	0.711762i
$85$	−6.51237	−	9.27487i	−0.706366	−	1.00600i
$86$	1.61024	+	0.283929i	0.173636	+	0.0306168i
$87$	0.603740	−	2.25319i	0.0647278	−	0.241567i
$88$	1.58125	−	0.423695i	0.168562	−	0.0451661i
$89$	1.43212	+	1.20169i	0.151805	+	0.127379i	0.715527	−	0.698585i	$-0.246187\pi$
$89$	1.43212	+	1.20169i	0.151805	+	0.127379i	−0.563722	+	0.825964i	$0.690631\pi$
$90$	6.11596	−	2.86163i	0.644679	−	0.301642i
$91$	0.215486	+	0.592042i	0.0225890	+	0.0620628i
$92$	10.4577	+	0.914930i	1.09029	+	0.0953881i
$93$	1.19833	+	0.839078i	0.124261	+	0.0870084i
$94$	4.57054			0.471415
$95$	−0.330711	+	9.74118i	−0.0339302	+	0.999424i
$96$	7.91429			0.807749
$97$	−0.975134	−	0.682796i	−0.0990098	−	0.0693274i	0.523023	−	0.852318i	$-0.324804\pi$
$97$	−0.975134	−	0.682796i	−0.0990098	−	0.0693274i	−0.622033	+	0.782991i	$0.713693\pi$
$98$	−25.1208	−	2.19778i	−2.53758	−	0.222010i
$99$	0.850264	+	2.33608i	0.0854548	+	0.234785i
$100$	2.40801	−	6.67003i	0.240801	−	0.667003i
$101$	−0.589039	−	0.494263i	−0.0586116	−	0.0491810i	0.613011	−	0.790074i	$-0.289958\pi$
$101$	−0.589039	−	0.494263i	−0.0586116	−	0.0491810i	−0.671623	+	0.740893i	$0.734402\pi$
$102$	10.5813	−	2.83526i	1.04771	−	0.280732i
$103$	−1.02732	+	3.83402i	−0.101225	+	0.377777i	−0.997890	−	0.0649337i	$-0.979316\pi$
$103$	−1.02732	+	3.83402i	−0.101225	+	0.377777i	0.896665	+	0.442711i	$0.145983\pi$
$104$	0.146890	+	0.0259007i	0.0144038	+	0.00253977i
$105$	2.04698	−	11.6982i	0.199765	−	1.14163i
$106$	10.3736	+	17.9676i	1.00757	+	1.74517i
$107$	−3.91983	−	14.6290i	−0.378944	−	1.41424i	−0.847496	−	0.530802i	$-0.821891\pi$
$107$	−3.91983	−	14.6290i	−0.378944	−	1.41424i	0.468552	−	0.883436i	$-0.344776\pi$
$108$	0.669552	+	7.65302i	0.0644277	+	0.736412i
$109$	8.35240	+	3.04003i	0.800015	+	0.291182i	0.709493	−	0.704713i	$-0.248924\pi$
$109$	8.35240	+	3.04003i	0.800015	+	0.291182i	0.0905223	+	0.995894i	$0.471146\pi$
$110$	5.70644	+	2.65191i	0.544088	+	0.252849i
$111$	−2.60489	+	2.18576i	−0.247245	+	0.207464i
$112$	−12.5730	+	17.9561i	−1.18803	+	1.69669i
$113$	−3.03272	−	3.03272i	−0.285294	−	0.285294i	0.549922	−	0.835216i	$-0.314658\pi$
$113$	−3.03272	−	3.03272i	−0.285294	−	0.285294i	−0.835216	+	0.549922i	$0.814658\pi$
$114$	−8.73424	−	3.53226i	−0.818036	−	0.330826i
$115$	−11.7183	−	11.6878i	−1.09274	−	1.08990i
$116$	−2.78695	+	0.491414i	−0.258762	+	0.0456267i
$117$	−0.0197416	+	0.225647i	−0.00182511	+	0.0208611i
$118$	−8.40679	+	18.0284i	−0.773907	+	1.65965i
$119$	−7.87503	+	21.6365i	−0.721903	+	1.98341i
$120$	−2.15611	−	1.80440i	−0.196825	−	0.164719i
$121$	4.34164	−	7.51993i	0.394694	−	0.683630i
$122$	5.30570	+	1.42166i	0.480355	+	0.128711i
$123$	−1.09639	−	1.56580i	−0.0988578	−	0.141184i
$124$	0.308181	−	1.74778i	0.0276754	−	0.156955i
$125$	−9.66052	+	5.62800i	−0.864063	+	0.503384i
$126$	−11.8808	−	6.85936i	−1.05842	−	0.611080i
$127$	−13.3493	+	1.16792i	−1.18456	+	0.103636i	−0.662360	−	0.749186i	$-0.730445\pi$
$127$	−13.3493	+	1.16792i	−1.18456	+	0.103636i	−0.522202	+	0.852822i	$0.674889\pi$
$128$	3.48247	+	7.46818i	0.307810	+	0.660100i
$129$	0.971535	−	0.353610i	0.0855389	−	0.0311336i
$130$	0.369106	+	0.438721i	0.0323728	+	0.0384784i
$131$	−1.85946	−	10.5455i	−0.162462	−	0.921369i	−0.951643	−	0.307207i	$-0.900605\pi$
$131$	−1.85946	−	10.5455i	−0.162462	−	0.921369i	0.789180	−	0.614161i	$-0.210506\pi$
$132$	−1.78452	+	1.78452i	−0.155322	+	0.155322i
$133$	16.6115	−	10.7797i	1.44040	−	0.934720i
$134$		−	26.2753i		−	2.26984i
$135$	6.93416	−	9.93054i	0.596797	−	0.854685i
$136$	3.50383	+	4.17570i	0.300451	+	0.358063i
$137$	18.9179	+	8.82158i	1.61627	+	0.753679i	0.999441	−	0.0334197i	$-0.0106398\pi$
$137$	18.9179	+	8.82158i	1.61627	+	0.753679i	0.616828	+	0.787098i	$0.288418\pi$
$138$	14.4993	−	6.76114i	1.23426	−	0.575547i
$139$	−4.32307	+	5.15204i	−0.366678	+	0.436990i	−0.917562	−	0.397592i	$-0.869846\pi$
$139$	−4.32307	+	5.15204i	−0.366678	+	0.436990i	0.550884	+	0.834582i	$0.314291\pi$
$140$	−13.9118	+	3.74710i	−1.17576	+	0.316688i
$141$	2.50283	−	1.44501i	0.210777	−	0.121692i
$142$	7.93526	−	5.55633i	0.665913	−	0.466277i
$143$	−0.172911	+	0.121074i	−0.0144596	+	0.0101247i
$144$	−6.82490	+	3.94036i	−0.568742	+	0.328363i
$145$	3.86686	+	2.22582i	0.321125	+	0.184844i
$146$	7.17794	−	8.55433i	0.594050	−	0.707961i
$147$	−14.4510	+	6.73862i	−1.19190	+	0.555792i
$148$	3.73883	+	1.74344i	0.307330	+	0.143310i
$149$	−5.56213	−	6.62869i	−0.455668	−	0.543043i	0.488476	−	0.872577i	$-0.337553\pi$
$149$	−5.56213	−	6.62869i	−0.455668	−	0.543043i	−0.944144	+	0.329534i	$0.893108\pi$
$150$	−1.90439	−	10.6380i	−0.155493	−	0.868592i
$151$		−	10.4228i		−	0.848193i	−0.905617	−	0.424097i	$-0.860592\pi$
$151$		−	10.4228i		−	0.848193i	0.905617	−	0.424097i	$-0.139408\pi$
$152$	−0.243792	−	4.68175i	−0.0197742	−	0.379740i
$153$	−5.85336	+	5.85336i	−0.473216	+	0.473216i
$154$	−2.22002	−	12.5904i	−0.178894	−	1.01456i
$155$	−2.14110	+	1.80136i	−0.171977	+	0.144689i
$156$	−0.216076	+	0.0786451i	−0.0172999	+	0.00629665i
$157$	−6.88494	−	14.7648i	−0.549478	−	1.17836i	−0.963405	−	0.268049i	$-0.913621\pi$
$157$	−6.88494	−	14.7648i	−0.549478	−	1.17836i	0.413927	−	0.910310i	$-0.364157\pi$
$158$	−10.6649	+	0.933061i	−0.848457	+	0.0742304i
$159$	11.3612	+	6.55938i	0.901000	+	0.520193i
$160$	−3.89885	+	14.6270i	−0.308231	+	1.15636i
$161$	−5.83910	+	33.1152i	−0.460186	+	2.60984i
$162$	1.51907	+	2.16946i	0.119350	+	0.170449i
$163$	−5.73737	−	1.53732i	−0.449386	−	0.120413i	0.0270262	−	0.999635i	$-0.491396\pi$
$163$	−5.73737	−	1.53732i	−0.449386	−	0.120413i	−0.476412	+	0.879222i	$0.658063\pi$
$164$	−1.15949	+	2.00829i	−0.0905407	+	0.156821i
$165$	3.96328	−	0.351949i	0.308541	−	0.0273992i
$166$	−0.299935	+	0.824066i	−0.0232795	+	0.0639599i
$167$	6.31154	−	13.5351i	0.488402	−	1.04738i	−0.495490	−	0.868614i	$-0.665011\pi$
$167$	6.31154	−	13.5351i	0.488402	−	1.04738i	0.983891	−	0.178767i	$-0.0572108\pi$
$168$	−0.497850	+	5.69045i	−0.0384099	+	0.439028i
$169$	12.7836	−	2.25409i	0.983351	−	0.173391i
$170$	0.0273188	+	20.9529i	0.00209525	+	1.60701i
$171$	7.05041	−	0.988470i	0.539159	−	0.0755902i
$172$	−0.886914	−	0.886914i	−0.0676265	−	0.0676265i
$173$	−7.88448	+	11.2602i	−0.599446	+	0.856098i	−0.998139	−	0.0609868i	$-0.980575\pi$
$173$	−7.88448	+	11.2602i	−0.599446	+	0.856098i	0.398692	+	0.917085i	$0.369464\pi$
$174$	−3.30378	+	2.77220i	−0.250459	+	0.210160i
$175$	20.6119	+	9.54611i	1.55811	+	0.721618i
$176$	−6.90120	−	2.51183i	−0.520198	−	0.189336i
$177$	1.09625	+	12.5302i	0.0823995	+	0.941831i
$178$	−0.894595	−	3.33867i	−0.0670527	−	0.250244i
$179$	−2.00568	−	3.47394i	−0.149912	−	0.259654i	0.781283	−	0.624177i	$-0.214566\pi$
$179$	−2.00568	−	3.47394i	−0.149912	−	0.259654i	−0.931195	+	0.364523i	$0.881232\pi$
$180$	−5.10225	−	0.892807i	−0.380299	−	0.0665459i
$181$	−22.2392	−	3.92137i	−1.65303	−	0.291473i	−0.732096	−	0.681202i	$-0.761458\pi$
$181$	−22.2392	−	3.92137i	−1.65303	−	0.291473i	−0.920930	+	0.389729i	$0.872569\pi$
$182$	0.301485	−	1.12516i	0.0223476	−	0.0834023i
$183$	3.35487	−	0.898936i	0.247999	−	0.0664513i
$184$	6.09824	+	5.11703i	0.449568	+	0.377232i
$185$	−2.75641	−	5.89107i	−0.202655	−	0.433120i
$186$	−0.925053	−	2.54156i	−0.0678282	−	0.186356i
$187$	−7.68488	−	0.672340i	−0.561974	−	0.0491664i
$188$	−2.87203	−	2.01102i	−0.209465	−	0.146669i
$189$	−24.6078			−1.78995
$190$	10.8310	−	14.4023i	0.785764	−	1.04485i
$191$	12.6937			0.918482			0.459241	−	0.888312i	$-0.348121\pi$
$191$	12.6937			0.918482			0.459241	+	0.888312i	$0.348121\pi$
$192$	−2.74485	−	1.92197i	−0.198093	−	0.138706i
$193$	14.8711	+	1.30105i	1.07045	+	0.0936519i	0.608731	−	0.793376i	$-0.291679\pi$
$193$	14.8711	+	1.30105i	1.07045	+	0.0936519i	0.461715	+	0.887028i	$0.347234\pi$
$194$	0.752757	+	2.06818i	0.0540448	+	0.148487i
$195$	0.340828	+	0.123548i	0.0244072	+	0.00884747i
$196$	14.8184	+	12.4341i	1.05845	+	0.888149i
$197$	6.10369	−	1.63548i	0.434870	−	0.116523i	−0.0347415	−	0.999396i	$-0.511061\pi$
$197$	6.10369	−	1.63548i	0.434870	−	0.116523i	0.469611	+	0.882873i	$0.344394\pi$
$198$	1.18960	−	4.43966i	0.0845414	−	0.315513i
$199$	12.5304	+	2.20944i	0.888254	+	0.156623i	0.599114	−	0.800664i	$-0.295520\pi$
$199$	12.5304	+	2.20944i	0.888254	+	0.156623i	0.289140	+	0.957287i	$0.406631\pi$
$200$	4.39703	−	3.09595i	0.310917	−	0.218917i
$201$	−8.30712	−	14.3884i	−0.585939	−	1.01488i
$202$	0.367951	+	1.37321i	0.0258890	+	0.0966189i
$203$	−0.790056	−	9.03038i	−0.0554510	−	0.633808i
$204$	−7.89659	−	2.87412i	−0.552872	−	0.201229i
$205$	3.43399	−	1.25494i	0.239840	−	0.0876490i
$206$	5.62170	−	4.71717i	0.391683	−	0.328661i
$207$	−6.93405	+	9.90284i	−0.481949	+	0.688295i
$208$	−0.473160	−	0.473160i	−0.0328077	−	0.0328077i
$209$	4.92898	+	4.44106i	0.340945	+	0.307194i
$210$	−15.5056	+	15.5461i	−1.06999	+	1.07278i
$211$	16.9039	−	2.98061i	1.16371	−	0.205193i	0.441756	−	0.897135i	$-0.354356\pi$
$211$	16.9039	−	2.98061i	1.16371	−	0.205193i	0.721953	+	0.691942i	$0.243245\pi$
$212$	1.38712	−	15.8548i	0.0952675	−	1.08891i
$213$	2.58868	−	5.55145i	0.177374	−	0.380379i
$214$	−9.57692	+	26.3124i	−0.654665	+	1.79868i
$215$	0.174920	+	1.96977i	0.0119295	+	0.134337i
$216$	−2.91284	+	5.04519i	−0.198194	+	0.343282i
$217$	5.49114	+	1.47135i	0.372763	+	0.0998816i
$218$	−9.42585	−	13.4615i	−0.638399	−	0.911728i
$219$	1.22613	−	6.95372i	0.0828541	−	0.469889i
$220$	−2.41898	−	4.17722i	−0.163088	−	0.281628i
$221$	−0.608705	−	0.351436i	−0.0409460	−	0.0236402i
$222$	6.26302	−	0.547943i	0.420346	−	0.0367755i
$223$	−7.93699	−	17.0209i	−0.531500	−	1.13981i	−0.970452	−	0.241295i	$-0.922428\pi$
$223$	−7.93699	−	17.0209i	−0.531500	−	1.13981i	0.438952	−	0.898511i	$-0.355350\pi$
$224$	28.9005	−	10.5189i	1.93100	−	0.702825i
$225$	5.26560	+	6.24217i	0.351040	+	0.416145i
$226$	1.37696	+	7.80913i	0.0915940	+	0.519456i
$227$	0.0653385	−	0.0653385i	0.00433667	−	0.00433667i	−0.704935	−	0.709272i	$-0.749024\pi$
$227$	0.0653385	−	0.0653385i	0.00433667	−	0.00433667i	0.709272	+	0.704935i	$0.249024\pi$
$228$	3.93424	+	6.06263i	0.260551	+	0.401507i
$229$		−	10.2958i		−	0.680367i	−0.940359	−	0.340184i	$-0.889511\pi$
$229$		−	10.2958i		−	0.680367i	0.940359	−	0.340184i	$-0.110489\pi$
$230$	5.35290	+	30.1280i	0.352959	+	1.98658i
$231$	−5.19622	−	6.19262i	−0.341886	−	0.407444i
$232$	−1.94497	−	0.906952i	−0.127693	−	0.0595443i
$233$	19.6455	−	9.16084i	1.28702	−	0.600146i	0.345915	−	0.938266i	$-0.387569\pi$
$233$	19.6455	−	9.16084i	1.28702	−	0.600146i	0.941103	+	0.338119i	$0.109791\pi$
$234$	0.269189	−	0.320807i	0.0175974	−	0.0209718i
$235$	1.43765	+	5.33753i	0.0937819	+	0.348182i
$236$	13.2151	−	7.62973i	0.860229	−	0.496653i
$237$	−5.54514	+	3.88275i	−0.360196	+	0.252212i
$238$	34.8713	−	24.4172i	2.26037	−	1.58273i
$239$	8.88903	−	5.13208i	0.574984	−	0.331967i	−0.184154	−	0.982897i	$-0.558954\pi$
$239$	8.88903	−	5.13208i	0.574984	−	0.331967i	0.759137	+	0.650931i	$0.225621\pi$
$240$	3.28041	+	12.1791i	0.211749	+	0.786158i
$241$	−12.7247	+	15.1647i	−0.819672	+	0.976847i	−0.999977	−	0.00676413i	$-0.997847\pi$
$241$	−12.7247	+	15.1647i	−0.819672	+	0.976847i	0.180306	+	0.983611i	$0.442291\pi$
$242$	−14.5500	+	6.78477i	−0.935309	+	0.436142i
$243$	−13.2096	−	6.15974i	−0.847396	−	0.395147i
$244$	−2.70847	−	3.22783i	−0.173392	−	0.206640i
$245$	−5.33506	−	30.0277i	−0.340845	−	1.91840i
$246$			3.53408i			0.225324i
$247$	0.236012	+	0.556526i	0.0150171	+	0.0354109i
$248$	0.951653	−	0.951653i	0.0604300	−	0.0604300i
$249$	0.0962897	+	0.546086i	0.00610211	+	0.0346068i
$250$	20.5991	+	1.72103i	1.30280	+	0.108847i
$251$	5.76397	−	2.09791i	0.363819	−	0.132419i	−0.153641	−	0.988127i	$-0.549100\pi$
$251$	5.76397	−	2.09791i	0.363819	−	0.132419i	0.517460	+	0.855708i	$0.326878\pi$
$252$	4.44753	+	9.53777i	0.280168	+	0.600823i
$253$	−11.2231	+	0.981894i	−0.705590	+	0.0617311i
$254$	21.4560	+	12.3877i	1.34627	+	0.777270i
$255$	6.63937	+	11.4652i	0.415774	+	0.717978i
$256$	3.64098	−	20.6490i	0.227561	−	1.29056i
$257$	−13.3449	−	19.0585i	−0.832430	−	1.18883i	−0.979845	−	0.199759i	$-0.935984\pi$
$257$	−13.3449	−	19.0585i	−0.832430	−	1.18883i	0.147415	−	0.989075i	$-0.452905\pi$
$258$	−1.84638	−	0.494735i	−0.114950	−	0.0308008i
$259$	−6.60714	+	11.4439i	−0.410548	+	0.711090i
$260$	−0.0389034	−	0.438088i	−0.00241269	−	0.0271691i
$261$	1.11464	−	3.06244i	0.0689942	−	0.189560i
$262$	−8.36700	+	17.9431i	−0.516915	+	1.10853i
$263$	1.09837	−	12.5544i	0.0677285	−	0.774140i	−0.884058	−	0.467378i	$-0.845199\pi$
$263$	1.09837	−	12.5544i	0.0677285	−	0.774140i	0.951786	−	0.306762i	$-0.0992457\pi$
$264$	−1.88472	+	0.332326i	−0.115996	+	0.0204533i
$265$	−17.7198	+	17.7660i	−1.08852	+	1.09136i
$266$	−36.5895	−	1.28997i	−2.24344	−	0.0790930i
$267$	−1.54543	−	1.54543i	−0.0945787	−	0.0945787i
$268$	−11.5610	+	16.5108i	−0.706201	+	1.00856i
$269$	−13.4512	+	11.2869i	−0.820136	+	0.688176i	−0.953004	−	0.302958i	$-0.902026\pi$
$269$	−13.4512	+	11.2869i	−0.820136	+	0.688176i	0.132868	+	0.991134i	$0.457581\pi$
$270$	−21.0327	+	7.68635i	−1.28001	+	0.467776i
$271$	−15.7503	−	5.73264i	−0.956762	−	0.348233i	−0.183998	−	0.982927i	$-0.558904\pi$
$271$	−15.7503	−	5.73264i	−0.956762	−	0.348233i	−0.772764	+	0.634694i	$0.781126\pi$
$272$	−2.13134	−	24.3613i	−0.129231	−	1.47712i
$273$	−0.190634	−	0.711455i	−0.0115377	−	0.0430592i
$274$	−19.2962	−	33.4220i	−1.16573	−	2.01910i
$275$	−1.30198	+	7.49820i	−0.0785126	+	0.452159i
$276$	−12.0859	−	2.13108i	−0.727489	−	0.128276i
$277$	−7.79634	+	29.0963i	−0.468437	+	1.74823i	0.176800	+	0.984247i	$0.443425\pi$
$277$	−7.79634	+	29.0963i	−0.468437	+	1.74823i	−0.645237	+	0.763982i	$0.723241\pi$
$278$	12.0108	−	3.21829i	0.720361	−	0.193020i
$279$	1.56564	+	1.31373i	0.0937325	+	0.0786509i
$280$	−10.2717	−	3.72343i	−0.613850	−	0.222517i
$281$	9.59450	+	26.3607i	0.572360	+	1.57255i	0.800764	+	0.598980i	$0.204427\pi$
$281$	9.59450	+	26.3607i	0.572360	+	1.57255i	−0.228404	+	0.973566i	$0.573351\pi$
$282$	−5.32291	−	0.465694i	−0.316975	−	0.0277317i
$283$	16.0049	+	11.2068i	0.951394	+	0.666173i	0.942648	−	0.333789i	$-0.108327\pi$
$283$	16.0049	+	11.2068i	0.951394	+	0.666173i	0.00874584	+	0.999962i	$0.497216\pi$
$284$	−7.43112			−0.440956
$285$	1.37768	−	11.3110i	0.0816069	−	0.670006i
$286$	0.390268			0.0230770
$287$	−6.08478	−	4.26061i	−0.359173	−	0.251496i
$288$	11.0150	+	0.963685i	0.649063	+	0.0567857i
$289$	−2.97107	−	8.16296i	−0.174769	−	0.480174i
$290$	−3.49595	−	7.47165i	−0.205289	−	0.438750i
$291$	1.06608	+	0.894550i	0.0624949	+	0.0524394i
$292$	−8.27434	+	2.21710i	−0.484219	+	0.129746i
$293$	−1.45003	+	5.41159i	−0.0847117	+	0.316148i	−0.995259	−	0.0972556i	$-0.968994\pi$
$293$	−1.45003	+	5.41159i	−0.0847117	+	0.316148i	0.910548	+	0.413404i	$0.135660\pi$
$294$	29.0321	+	5.11913i	1.69318	+	0.298554i
$295$	−23.6981	−	4.14677i	−1.37976	−	0.241434i
$296$	1.56418	+	2.70925i	0.0909164	+	0.157472i
$297$	−2.13384	−	7.96359i	−0.123818	−	0.462094i
$298$	1.39436	+	15.9376i	0.0807728	+	0.923238i
$299$	−0.964579	−	0.351078i	−0.0557831	−	0.0203034i
$300$	−3.48401	+	7.52264i	−0.201150	+	0.434320i
$301$	3.07776	−	2.58254i	0.177399	−	0.148855i
$302$	−11.0530	+	15.7853i	−0.636026	+	0.908339i
$303$	0.635642	+	0.635642i	0.0365167	+	0.0365167i
$304$	−11.1512	+	17.8323i	−0.639563	+	1.02275i
$305$	0.00866158	+	6.64324i	0.000495961	+	0.380391i
$306$	15.0721	−	2.65763i	0.861617	−	0.151926i
$307$	1.42367	−	16.2726i	0.0812529	−	0.928725i	−0.840720	−	0.541470i	$-0.817868\pi$
$307$	1.42367	−	16.2726i	0.0812529	−	0.928725i	0.921973	−	0.387255i	$-0.126577\pi$
$308$	−4.14469	+	8.88832i	−0.236166	+	0.506459i
$309$	1.58708	−	4.36047i	0.0902859	−	0.248059i
$310$	5.15296	−	0.457596i	0.292669	−	0.0259897i
$311$	0.890255	−	1.54197i	0.0504817	−	0.0874369i	−0.839680	−	0.543081i	$-0.817258\pi$
$311$	0.890255	−	1.54197i	0.0504817	−	0.0874369i	0.890162	+	0.455644i	$0.150591\pi$
$312$	−0.168431	−	0.0451310i	−0.00953553	−	0.00255504i
$313$	2.51948	+	3.59819i	0.142409	+	0.203382i	0.884020	−	0.467449i	$-0.154827\pi$
$313$	2.51948	+	3.59819i	0.142409	+	0.203382i	−0.741611	+	0.670830i	$0.765938\pi$
$314$	−5.23029	+	29.6624i	−0.295162	+	1.67395i
$315$	4.27339	−	16.0321i	0.240778	−	0.903306i
$316$	7.11217	+	4.10622i	0.400091	+	0.230993i
$317$	−9.14589	+	0.800161i	−0.513684	+	0.0449415i	−0.341051	−	0.940045i	$-0.610783\pi$
$317$	−9.14589	+	0.800161i	−0.513684	+	0.0449415i	−0.172633	+	0.984986i	$0.555227\pi$
$318$	−10.2505	−	21.9822i	−0.574819	−	1.23270i
$319$	2.85391	−	1.03874i	0.159788	−	0.0581581i
$320$	4.90434	−	4.12614i	0.274161	−	0.230658i
$321$	3.07453	+	17.4365i	0.171603	+	0.973211i
$322$	43.9607	−	43.9607i	2.44983	−	2.44983i
$323$	−6.46609	+	21.1244i	−0.359783	+	1.17539i
$324$		−	2.03163i		−	0.112868i
$325$	−0.396242	+	0.569045i	−0.0219796	+	0.0315649i
$326$	7.05896	+	8.41254i	0.390959	+	0.465927i
$327$	−9.41757	−	4.39148i	−0.520793	−	0.242850i
$328$	−1.59379	+	0.743195i	−0.0880021	+	0.0410361i
$329$	7.21899	−	8.60326i	0.397996	−	0.474313i
$330$	−6.37559	−	3.66988i	−0.350965	−	0.202020i
$331$	9.85862	−	5.69188i	0.541879	−	0.312854i	−0.203961	−	0.978979i	$-0.565382\pi$
$331$	9.85862	−	5.69188i	0.541879	−	0.312854i	0.745840	+	0.666125i	$0.232048\pi$
$332$	0.551059	−	0.385856i	0.0302433	−	0.0211766i
$333$	−3.89159	+	2.72492i	−0.213258	+	0.149325i
$334$	−23.9123	+	13.8058i	−1.30842	+	0.755418i
$335$	30.6846	−	8.26480i	1.67648	−	0.451554i
$336$	16.4722	−	19.6308i	0.898632	−	1.07095i
$337$	14.1389	−	6.59306i	0.770193	−	0.359147i	0.00252652	−	0.999997i	$-0.499196\pi$
$337$	14.1389	−	6.59306i	0.770193	−	0.359147i	0.767666	+	0.640850i	$0.221418\pi$
$338$	−21.7510	−	10.1427i	−1.18310	−	0.551688i
$339$	3.22294	+	3.84095i	0.175046	+	0.208612i
$340$	9.20202	−	13.1784i	0.499049	−	0.714698i
$341$			1.90463i			0.103142i
$342$	−11.7261	−	5.97966i	−0.634073	−	0.323343i
$343$	−21.3274	+	21.3274i	−1.15157	+	1.15157i
$344$	−0.165168	−	0.936712i	−0.00890524	−	0.0505041i
$345$	12.4565	+	14.8058i	0.670633	+	0.797117i
$346$	23.8820	−	8.69235i	1.28391	−	0.467304i
$347$	5.93804	+	12.7342i	0.318770	+	0.683606i	0.998769	−	0.0496082i	$-0.0157973\pi$
$347$	5.93804	+	12.7342i	0.318770	+	0.683606i	−0.679998	+	0.733214i	$0.738019\pi$
$348$	3.29579	−	0.288344i	0.176673	−	0.0154569i
$349$	−20.6061	−	11.8969i	−1.10302	−	0.636829i	−0.166007	−	0.986125i	$-0.553087\pi$
$349$	−20.6061	−	11.8969i	−1.10302	−	0.636829i	−0.937012	+	0.349296i	$0.886421\pi$
$350$	−21.0933	−	36.3156i	−1.12748	−	1.94115i
$351$	0.130442	−	0.739776i	0.00696250	−	0.0394863i
$352$	5.91022	+	8.44066i	0.315016	+	0.449889i
$353$	−12.3909	−	3.32012i	−0.659499	−	0.176712i	−0.0864789	−	0.996254i	$-0.527562\pi$
$353$	−12.3909	−	3.32012i	−0.659499	−	0.176712i	−0.573020	+	0.819542i	$0.694228\pi$
$354$	11.6276	−	20.1395i	0.617999	−	1.07040i
$355$	8.98477	+	7.51917i	0.476862	+	0.399076i
$356$	−0.906858	+	2.49157i	−0.0480634	+	0.132053i
$357$	11.3759	−	24.3957i	0.602077	−	1.29116i
$358$	−0.646385	+	7.38821i	−0.0341625	+	0.390479i
$359$	1.62390	−	0.286337i	0.0857062	−	0.0151123i	−0.130631	−	0.991431i	$-0.541700\pi$
$359$	1.62390	−	0.286337i	0.0857062	−	0.0151123i	0.216337	+	0.976319i	$0.430589\pi$
$360$	−2.78112	−	2.77388i	−0.146578	−	0.146196i
$361$	15.3788	−	11.1576i	0.809409	−	0.587245i
$362$	29.5227	+	29.5227i	1.55168	+	1.55168i
$363$	−5.82253	+	8.31544i	−0.305604	+	0.436447i
$364$	−0.684513	+	0.574375i	−0.0358782	+	0.0301054i
$365$	12.2476	+	5.69174i	0.641071	+	0.297919i
$366$	−6.03423	−	2.19628i	−0.315414	−	0.114801i
$367$	1.54633	+	17.6746i	0.0807176	+	0.922606i	0.923310	+	0.384055i	$0.125473\pi$
$367$	1.54633	+	17.6746i	0.0807176	+	0.922606i	−0.842593	+	0.538551i	$0.818972\pi$
$368$	−9.24333	−	34.4966i	−0.481842	−	1.79826i
$369$	−1.33527	−	2.31276i	−0.0695114	−	0.120397i
$370$	−2.07269	+	11.8451i	−0.107754	+	0.615796i
$371$	50.2056	+	8.85260i	2.60654	+	0.459604i
$372$	−0.536993	+	2.00409i	−0.0278418	+	0.103907i
$373$	−12.5757	+	3.36965i	−0.651145	+	0.174474i	−0.569246	−	0.822167i	$-0.692765\pi$
$373$	−12.5757	+	3.36965i	−0.651145	+	0.174474i	−0.0818983	+	0.996641i	$0.526098\pi$
$374$	10.9257	+	9.16778i	0.564956	+	0.474054i
$375$	11.8242	−	5.57013i	0.610599	−	0.287640i
$376$	−0.909359	−	2.49844i	−0.0468966	−	0.128847i
$377$	0.275665	+	0.0241176i	0.0141975	+	0.00124212i
$378$	37.2684	+	26.0956i	1.91688	+	1.34221i
$379$	19.2818			0.990442			0.495221	−	0.868767i	$-0.335087\pi$
$379$	19.2818			0.990442			0.495221	+	0.868767i	$0.335087\pi$
$380$	−13.1429	+	4.28449i	−0.674218	+	0.219790i
$381$	15.6658			0.802583
$382$	−19.2245	−	13.4612i	−0.983612	−	0.688733i
$383$	14.9442	+	1.30745i	0.763612	+	0.0668074i	0.462306	−	0.886720i	$-0.347022\pi$
$383$	14.9442	+	1.30745i	0.763612	+	0.0668074i	0.301305	+	0.953528i	$0.402578\pi$
$384$	−3.29479	−	9.05237i	−0.168137	−	0.461952i
$385$	14.0049	−	6.55282i	0.713754	−	0.333963i
$386$	−21.1425	−	17.7407i	−1.07613	−	0.902977i
$387$	1.39522	−	0.373849i	0.0709232	−	0.0190038i
$388$	0.436975	−	1.63081i	0.0221841	−	0.0827921i
$389$	13.3902	+	2.36105i	0.678909	+	0.119710i	0.502461	−	0.864600i	$-0.332428\pi$
$389$	13.3902	+	2.36105i	0.678909	+	0.119710i	0.176448	+	0.984310i	$0.443539\pi$
$390$	−0.385164	−	0.548548i	−0.0195036	−	0.0277768i
$391$	−18.7567	−	32.4875i	−0.948566	−	1.64297i
$392$	3.79666	+	14.1693i	0.191760	+	0.715658i
$393$	1.09107	+	12.4709i	0.0550370	+	0.629076i
$394$	−10.9784	−	3.99580i	−0.553082	−	0.201306i
$395$	−4.44426	−	12.1612i	−0.223615	−	0.611894i
$396$	−2.70095	+	2.26637i	−0.135728	+	0.113889i
$397$	2.68829	−	3.83927i	0.134921	−	0.192687i	−0.746006	−	0.665939i	$-0.768031\pi$
$397$	2.68829	−	3.83927i	0.134921	−	0.192687i	0.880927	+	0.473252i	$0.156920\pi$
$398$	−16.6342	−	16.6342i	−0.833795	−	0.833795i
$399$	−20.4443	+	10.8617i	−1.02349	+	0.543763i
$400$	−24.1251	+	0.0629097i	−1.20626	+	0.00314549i
$401$	−29.5512	+	5.21067i	−1.47572	+	0.260209i	−0.852865	−	0.522132i	$-0.825137\pi$
$401$	−29.5512	+	5.21067i	−1.47572	+	0.260209i	−0.622851	+	0.782340i	$0.714026\pi$
$402$	−2.67720	+	30.6005i	−0.133526	+	1.52621i
$403$	−0.0733404	+	0.157279i	−0.00365335	+	0.00783463i
$404$	0.372995	−	1.02480i	0.0185572	−	0.0509855i
$405$	−2.05570	+	2.45639i	−0.102149	+	0.122059i
$406$	−8.37983	+	14.5143i	−0.415884	+	0.720333i
$407$	−4.27641	−	1.14586i	−0.211974	−	0.0567982i
$408$	−3.65514	−	5.22008i	−0.180956	−	0.258432i
$409$	−5.94508	+	33.7162i	−0.293965	+	1.66716i	0.377414	+	0.926045i	$0.376813\pi$
$409$	−5.94508	+	33.7162i	−0.293965	+	1.66716i	−0.671379	+	0.741114i	$0.734298\pi$
$410$	−6.53158	−	1.74101i	−0.322572	−	0.0859823i
$411$	−21.1332	−	12.2013i	−1.04243	−	0.601845i
$412$	−5.60810	+	0.490645i	−0.276291	+	0.0241723i
$413$	20.6572	+	44.2995i	1.01647	+	2.17984i
$414$	21.0032	−	7.64453i	1.03225	−	0.375708i
$415$	−1.05670	−	0.0910609i	−0.0518713	−	0.00447001i
$416$	0.163029	+	0.924586i	0.00799317	+	0.0453315i
$417$	5.55965	−	5.55965i	0.272257	−	0.272257i
$418$	−2.75535	−	11.9530i	−0.134769	−	0.584638i
$419$			7.01480i			0.342696i	0.985211	+	0.171348i	$0.0548122\pi$
$419$			7.01480i			0.342696i	−0.985211	+	0.171348i	$0.945188\pi$
$420$	16.5836	−	2.94644i	0.809199	−	0.143772i
$421$	−2.21994	−	2.64562i	−0.108193	−	0.128939i	0.709230	−	0.704977i	$-0.249043\pi$
$421$	−2.21994	−	2.64562i	−0.108193	−	0.128939i	−0.817423	+	0.576037i	$0.804598\pi$
$422$	−28.7616	−	13.4118i	−1.40009	−	0.652875i
$423$	3.65935	−	1.70638i	0.177924	−	0.0829672i
$424$	7.75787	−	9.24547i	0.376755	−	0.449000i
$425$	−24.4604	+	6.62256i	−1.18651	+	0.321242i
$426$	−9.80765	+	5.66245i	−0.475182	+	0.274347i
$427$	11.0562	−	7.74162i	0.535046	−	0.374643i
$428$	17.5953	−	12.3203i	0.850500	−	0.595526i
$429$	0.213711	−	0.123386i	0.0103181	−	0.00595714i
$430$	1.82394	−	3.16870i	0.0879584	−	0.152808i
$431$	−6.73534	+	8.02687i	−0.324430	+	0.386641i	−0.903465	−	0.428662i	$-0.858985\pi$
$431$	−6.73534	+	8.02687i	−0.324430	+	0.386641i	0.579035	+	0.815303i	$0.303429\pi$
$432$	23.6867	−	11.0453i	1.13963	−	0.531416i
$433$	21.5929	+	10.0690i	1.03769	+	0.483883i	0.865357	−	0.501156i	$-0.167092\pi$
$433$	21.5929	+	10.0690i	1.03769	+	0.483883i	0.172333	+	0.985039i	$0.444869\pi$
$434$	−6.75601	−	8.05150i	−0.324299	−	0.386484i
$435$	−4.27661	−	2.98621i	−0.205048	−	0.143178i
$436$			12.6063i			0.603731i
$437$	−3.94259	+	32.0214i	−0.188600	+	1.53179i
$438$	−9.23112	+	9.23112i	−0.441080	+	0.441080i
$439$	0.100282	+	0.568729i	0.00478621	+	0.0271439i	0.987107	−	0.160060i	$-0.0511687\pi$
$439$	0.100282	+	0.568729i	0.00478621	+	0.0271439i	−0.982321	+	0.187204i	$0.940058\pi$
$440$	0.314280	−	3.64700i	0.0149827	−	0.173864i
$441$	−20.9332	+	7.61906i	−0.996819	+	0.362813i
$442$	0.549197	+	1.17776i	0.0261227	+	0.0560202i
$443$	−8.46505	+	0.740596i	−0.402187	+	0.0351868i	−0.286455	−	0.958094i	$-0.592477\pi$
$443$	−8.46505	+	0.740596i	−0.402187	+	0.0351868i	−0.115732	+	0.993281i	$0.536921\pi$
$444$	−4.17664	−	2.41139i	−0.198215	−	0.114439i
$445$	3.61755	−	2.09489i	0.171488	−	0.0993072i
$446$	−6.02950	+	34.1950i	−0.285505	+	1.61918i
$447$	5.80233	+	8.28659i	0.274441	+	0.391942i
$448$	−12.5778	−	3.37022i	−0.594247	−	0.159228i
$449$	4.27636	−	7.40687i	0.201814	−	0.349552i	−0.747299	−	0.664488i	$-0.768650\pi$
$449$	4.27636	−	7.40687i	0.201814	−	0.349552i	0.949113	+	0.314936i	$0.101983\pi$
$450$	−1.35515	−	15.0377i	−0.0638825	−	0.708885i
$451$	0.851185	−	2.33861i	0.0400807	−	0.110121i
$452$	2.57073	−	5.51295i	0.120917	−	0.259308i
$453$	−1.06198	+	12.1385i	−0.0498962	+	0.570316i
$454$	−0.168244	+	0.0296659i	−0.00789608	+	0.00139229i
$455$	1.40881	−	0.00183683i	0.0660458	−	8.61118e-5i
$456$	−0.193102	+	5.47727i	−0.00904283	+	0.256497i
$457$	1.00342	+	1.00342i	0.0469379	+	0.0469379i	0.730186	−	0.683248i	$-0.239433\pi$
$457$	1.00342	+	1.00342i	0.0469379	+	0.0469379i	−0.683248	+	0.730186i	$0.739433\pi$
$458$	−10.9183	+	15.5930i	−0.510180	+	0.728612i
$459$	21.0299	−	17.6462i	0.981590	−	0.823652i
$460$	9.89256	−	21.2871i	0.461243	−	0.992516i
$461$	−0.708319	−	0.257807i	−0.0329897	−	0.0120073i	0.325473	−	0.945551i	$-0.394477\pi$
$461$	−0.708319	−	0.257807i	−0.0329897	−	0.0120073i	−0.358462	+	0.933544i	$0.616699\pi$
$462$	1.30263	+	14.8891i	0.0606037	+	0.692703i
$463$	−5.65758	−	21.1144i	−0.262930	−	0.981269i	−0.963505	−	0.267690i	$-0.913740\pi$
$463$	−5.65758	−	21.1144i	−0.262930	−	0.981269i	0.700575	−	0.713579i	$-0.252927\pi$
$464$	4.81380	+	8.33774i	0.223475	+	0.387070i
$465$	2.67709	−	1.87973i	0.124147	−	0.0871703i
$466$	−39.4677	−	6.95922i	−1.82831	−	0.322380i
$467$	−0.811663	+	3.02917i	−0.0375593	+	0.140173i	−0.982159	−	0.188050i	$-0.939783\pi$
$467$	−0.811663	+	3.02917i	−0.0375593	+	0.140173i	0.944600	+	0.328223i	$0.106450\pi$
$468$	−0.310306	+	0.0831464i	−0.0143439	+	0.00384344i
$469$	−49.4587	−	41.5008i	−2.28379	−	1.91633i
$470$	3.48293	−	9.60824i	0.160656	−	0.443195i
$471$	6.51390	+	17.8968i	0.300145	+	0.824640i
$472$	11.5277	+	1.00854i	0.530605	+	0.0464219i
$473$	1.10265	+	0.772083i	0.0506999	+	0.0355004i
$474$	12.5156			0.574860
$475$	20.2260	+	8.11840i	0.928033	+	0.372498i
$476$	−32.6559			−1.49678
$477$	15.0136	+	10.5126i	0.687425	+	0.481340i
$478$	−18.9048	−	1.65395i	−0.864684	−	0.0756501i
$479$	−9.80127	−	26.9288i	−0.447831	−	1.23041i	−0.934230	−	0.356670i	$-0.883912\pi$
$479$	−9.80127	−	26.9288i	−0.447831	−	1.23041i	0.486399	−	0.873737i	$-0.338310\pi$
$480$	6.03100	−	16.6375i	0.275276	−	0.759395i
$481$	−0.309011	−	0.259291i	−0.0140897	−	0.0118226i
$482$	35.3532	−	9.47285i	1.61029	−	0.431477i
$483$	10.1744	−	37.9715i	0.462952	−	1.72776i
$484$	12.1282	+	2.13853i	0.551281	+	0.0972058i
$485$	−2.17847	+	1.52962i	−0.0989193	+	0.0694565i
$486$	13.4737	+	23.3372i	0.611181	+	1.05860i
$487$	−2.52061	−	9.40703i	−0.114220	−	0.426273i	0.885008	−	0.465576i	$-0.154153\pi$
$487$	−2.52061	−	9.40703i	−0.114220	−	0.426273i	−0.999227	+	0.0393029i	$0.987486\pi$
$488$	−0.278491	−	3.18316i	−0.0126067	−	0.144095i
$489$	6.52518	+	2.37497i	0.295079	+	0.107400i
$490$	−23.7632	+	51.1344i	−1.07351	+	2.31002i
$491$	6.63665	−	5.56881i	0.299508	−	0.251317i	−0.480631	−	0.876923i	$-0.659593\pi$
$491$	6.63665	−	5.56881i	0.299508	−	0.251317i	0.780139	+	0.625606i	$0.215148\pi$
$492$	1.55498	−	2.22074i	0.0701039	−	0.100119i
$493$	7.15084	+	7.15084i	0.322057	+	0.322057i
$494$	0.232735	−	1.09314i	0.0104713	−	0.0491826i
$495$	5.55887	−	0.00724777i	0.249853	−	0.000325763i
$496$	−5.94602	+	1.04844i	−0.266984	+	0.0470765i
$497$	2.07460	−	23.7128i	0.0930586	−	1.06366i
$498$	0.433273	−	0.929157i	0.0194154	−	0.0416365i
$499$	−0.511920	+	1.40649i	−0.0229167	+	0.0629631i	−0.950623	−	0.310347i	$-0.899555\pi$
$499$	−0.511920	+	1.40649i	−0.0229167	+	0.0629631i	0.927707	+	0.373310i	$0.121777\pi$
$500$	−12.1868	−	10.1450i	−0.545010	−	0.453697i
$501$	−8.72960	+	15.1201i	−0.390010	+	0.675517i
$502$	−10.9543	−	2.93519i	−0.488913	−	0.131004i
$503$	−4.54411	−	6.48967i	−0.202612	−	0.289360i	0.704968	−	0.709239i	$-0.250961\pi$
$503$	−4.54411	−	6.48967i	−0.202612	−	0.289360i	−0.907580	+	0.419879i	$0.862072\pi$
$504$	−1.38580	+	7.85925i	−0.0617283	+	0.350079i
$505$	−1.48792	+	0.861638i	−0.0662114	+	0.0383424i
$506$	18.0386	+	10.4146i	0.801913	+	0.462985i
$507$	−15.1176	+	1.32262i	−0.671395	+	0.0587394i
$508$	−8.03202	−	17.2247i	−0.356363	−	0.764223i
$509$	−31.2055	+	11.3579i	−1.38316	+	0.503430i	−0.923135	−	0.384476i	$-0.874382\pi$
$509$	−31.2055	+	11.3579i	−1.38316	+	0.503430i	−0.460026	+	0.887905i	$0.652160\pi$
$510$	2.10308	−	24.4048i	0.0931260	−	1.08066i
$511$	−4.76479	−	27.0225i	−0.210782	−	1.19540i
$512$	−15.7583	+	15.7583i	−0.696424	+	0.696424i
$513$	−23.5785	+	1.22780i	−1.04102	+	0.0542087i
$514$			43.0157i			1.89734i
$515$	7.27706	+	5.08132i	0.320665	+	0.223910i
$516$	0.942543	+	1.12328i	0.0414931	+	0.0494496i
$517$	3.41018	+	1.59019i	0.149979	+	0.0699366i
$518$	22.1423	−	10.3251i	0.972877	−	0.453660i
$519$	10.3297	−	12.3104i	0.453423	−	0.540368i
$520$	0.166385	−	0.289057i	0.00729646	−	0.0126760i
$521$	26.1470	−	15.0960i	1.14552	−	0.661367i	0.197729	−	0.980257i	$-0.436643\pi$
$521$	26.1470	−	15.0960i	1.14552	−	0.661367i	0.947792	+	0.318890i	$0.103310\pi$
$522$	−4.93571	+	3.45602i	−0.216030	+	0.151266i
$523$	6.98083	−	4.88803i	0.305250	−	0.213739i	−0.410907	−	0.911677i	$-0.634788\pi$
$523$	6.98083	−	4.88803i	0.305250	−	0.213739i	0.716158	+	0.697939i	$0.245899\pi$
$524$	13.1525	−	7.59362i	0.574571	−	0.331729i
$525$	−23.0322	−	13.2177i	−1.00521	−	0.576867i
$526$	−14.9770	+	17.8489i	−0.653028	+	0.778248i
$527$	−5.74784	+	2.68026i	−0.250380	+	0.116754i
$528$	7.78130	+	3.62848i	0.338637	+	0.157909i
$529$	−20.4310	−	24.3487i	−0.888304	−	1.05864i
$530$	45.6768	−	8.11546i	1.98407	−	0.352513i
$531$			17.5729i			0.762598i
$532$	22.4245	+	16.9098i	0.972225	+	0.733133i
$533$	0.160340	−	0.160340i	0.00694508	−	0.00694508i
$534$	0.701678	+	3.97941i	0.0303646	+	0.172206i
$535$	−33.7403	−	2.90757i	−1.45872	−	0.125705i
$536$	−14.3631	+	5.22775i	−0.620392	+	0.225804i
$537$	1.98188	+	4.25015i	0.0855244	+	0.183408i
$538$	32.3412	−	2.82949i	1.39433	−	0.121988i
$539$	−17.9785	−	10.3799i	−0.774389	−	0.447094i
$540$	16.5985	+	4.42437i	0.714285	+	0.190394i
$541$	3.84885	−	21.8279i	0.165475	−	0.938454i	−0.783099	−	0.621897i	$-0.786362\pi$
$541$	3.84885	−	21.8279i	0.165475	−	0.938454i	0.948574	−	0.316557i	$-0.102527\pi$
$542$	17.7745	+	25.3846i	0.763481	+	1.09036i
$543$	25.5005	+	6.83284i	1.09433	+	0.293225i
$544$	−17.1554	+	29.7139i	−0.735530	+	1.27397i
$545$	12.7556	−	15.2419i	0.546392	−	0.652891i
$546$	−0.465757	+	1.27966i	−0.0199326	+	0.0547642i
$547$	−13.3830	+	28.6999i	−0.572216	+	1.22712i	0.380928	+	0.924605i	$0.375604\pi$
$547$	−13.3830	+	28.6999i	−0.572216	+	1.22712i	−0.953144	+	0.302516i	$0.902173\pi$
$548$	−2.58021	+	29.4920i	−0.110221	+	1.25983i
$549$	4.77872	−	0.842616i	0.203951	−	0.0359620i
$550$	9.92341	−	9.97530i	0.423136	−	0.425348i
$551$	−1.20758	−	8.61324i	−0.0514446	−	0.366936i
$552$	−6.58071	−	6.58071i	−0.280094	−	0.280094i
$553$	−15.0885	+	21.5487i	−0.641630	+	0.916342i
$554$	42.6631	−	35.7986i	1.81258	−	1.52094i
$555$	2.60991	+	7.14167i	0.110784	+	0.303147i
$556$	−8.96338	−	3.26240i	−0.380132	−	0.138357i
$557$	−0.0223538	−	0.255505i	−0.000947162	−	0.0108261i	0.995706	−	0.0925675i	$-0.0295074\pi$
$557$	−0.0223538	−	0.255505i	−0.000947162	−	0.0108261i	−0.996654	+	0.0817414i	$0.973952\pi$
$558$	−0.977999	−	3.64994i	−0.0414020	−	0.154514i
$559$	0.0613234	+	0.106215i	0.00259370	+	0.00449243i
$560$	28.1663	+	40.1143i	1.19025	+	1.69514i
$561$	8.88141	+	1.56603i	0.374973	+	0.0661179i
$562$	13.4237	−	50.0978i	0.566243	−	2.11325i
$563$	−5.15121	+	1.38026i	−0.217097	+	0.0581711i	−0.365728	−	0.930722i	$-0.619180\pi$
$563$	−5.15121	+	1.38026i	−0.217097	+	0.0581711i	0.148631	+	0.988893i	$0.452513\pi$
$564$	3.13990	+	2.63469i	0.132214	+	0.110941i
$565$	−8.68648	+	4.06437i	−0.365443	+	0.170989i
$566$	−12.3550	−	33.9452i	−0.519321	−	1.42682i
$567$	6.48295	+	0.567185i	0.272258	+	0.0238195i
$568$	−4.61612	−	3.23224i	−0.193688	−	0.135622i
$569$	20.8877			0.875659			0.437830	−	0.899058i	$-0.355747\pi$
$569$	20.8877			0.875659			0.437830	+	0.899058i	$0.355747\pi$
$570$	−14.0814	+	15.6695i	−0.589804	+	0.656323i
$571$	−14.0563			−0.588237			−0.294118	−	0.955769i	$-0.595026\pi$
$571$	−14.0563			−0.588237			−0.294118	+	0.955769i	$0.595026\pi$
$572$	−0.245236	−	0.171716i	−0.0102538	−	0.00717982i
$573$	−14.7832	−	1.29336i	−0.617578	−	0.0540311i
$574$	4.69716	+	12.9053i	0.196056	+	0.538659i
$575$	−33.5001	+	15.7279i	−1.39705	+	0.655897i
$576$	−3.58621	−	3.00919i	−0.149425	−	0.125383i
$577$	26.6223	−	7.13342i	1.10830	−	0.296968i	0.342160	−	0.939642i	$-0.388841\pi$
$577$	26.6223	−	7.13342i	1.10830	−	0.296968i	0.766140	+	0.642673i	$0.222175\pi$
$578$	−4.15682	+	15.5135i	−0.172901	+	0.645275i
$579$	−17.1865	−	3.03045i	−0.714248	−	0.125941i
$580$	−1.09071	+	6.23324i	−0.0452893	+	0.258821i
$581$	1.07743	+	1.86616i	0.0446992	+	0.0774212i
$582$	−0.665943	−	2.48533i	−0.0276042	−	0.103020i
$583$	1.48864	+	17.0152i	0.0616531	+	0.704698i
$584$	−6.10427	−	2.22177i	−0.252597	−	0.0919376i
$585$	0.459315	+	0.213453i	0.0189903	+	0.00882521i
$586$	7.93484	−	6.65812i	0.327785	−	0.275045i
$587$	9.44733	−	13.4922i	0.389933	−	0.556882i	−0.575410	−	0.817865i	$-0.695158\pi$
$587$	9.44733	−	13.4922i	0.389933	−	0.556882i	0.965343	+	0.260983i	$0.0840466\pi$
$588$	−15.9907	−	15.9907i	−0.659447	−	0.659447i
$589$	5.33487	+	1.13583i	0.219820	+	0.0468009i
$590$	31.4932	+	31.4112i	1.29656	+	1.29318i
$591$	−7.27507	+	1.28279i	−0.299256	+	0.0527670i
$592$	1.22319	−	13.9812i	0.0502730	−	0.574623i
$593$	8.02791	−	17.2159i	0.329667	−	0.706972i	−0.669697	−	0.742634i	$-0.733576\pi$
$593$	8.02791	−	17.2159i	0.329667	−	0.706972i	0.999364	+	0.0356619i	$0.0113539\pi$
$594$	−5.21339	+	14.3237i	−0.213908	+	0.587707i
$595$	39.4834	+	33.0428i	1.61866	+	1.35462i
$596$	6.13628	−	10.6283i	0.251352	−	0.435354i
$597$	−14.3679	−	3.84987i	−0.588039	−	0.157565i
$598$	1.08855	+	1.55461i	0.0445140	+	0.0635726i
$599$	6.72471	−	38.1377i	0.274764	−	1.55826i	−0.464946	−	0.885339i	$-0.653926\pi$
$599$	6.72471	−	38.1377i	0.274764	−	1.55826i	0.739710	−	0.672926i	$-0.234963\pi$
$600$	−5.43628	+	3.15757i	−0.221935	+	0.128907i
$601$	24.2204	+	13.9836i	0.987970	+	0.570405i	0.904667	−	0.426120i	$-0.140120\pi$
$601$	24.2204	+	13.9836i	0.987970	+	0.570405i	0.0833031	+	0.996524i	$0.473453\pi$
$602$	−7.39994	+	0.647411i	−0.301599	+	0.0263865i
$603$	−9.80971	−	21.0370i	−0.399482	−	0.856692i
$604$	13.8909	−	5.05587i	0.565213	−	0.205721i
$605$	−12.5000	−	14.8575i	−0.508197	−	0.604044i
$606$	−0.288603	−	1.63675i	−0.0117237	−	0.0664885i
$607$	−31.1811	+	31.1811i	−1.26560	+	1.26560i	−0.317263	+	0.948338i	$0.602764\pi$
$607$	−31.1811	+	31.1811i	−1.26560	+	1.26560i	−0.948338	+	0.317263i	$0.897236\pi$
$608$	27.1668	−	11.5209i	1.10176	−	0.467235i
$609$			10.5974i			0.429428i
$610$	7.03178	−	10.0703i	0.284708	−	0.407736i
$611$	0.220370	+	0.262627i	0.00891522	+	0.0106247i
$612$	−10.6404	−	4.96169i	−0.430112	−	0.200564i
$613$	13.2254	−	6.16710i	0.534169	−	0.249087i	−0.136766	−	0.990603i	$-0.543671\pi$
$613$	13.2254	−	6.16710i	0.534169	−	0.249087i	0.670935	+	0.741516i	$0.265893\pi$
$614$	−19.4126	+	23.1350i	−0.783428	+	0.933653i
$615$	−4.12714	+	1.11163i	−0.166422	+	0.0448253i
$616$	−6.44070	+	3.71854i	−0.259503	+	0.149824i
$617$	−5.03505	+	3.52558i	−0.202704	+	0.141935i	−0.670521	−	0.741891i	$-0.733929\pi$
$617$	−5.03505	+	3.52558i	−0.202704	+	0.141935i	0.467817	+	0.883825i	$0.345040\pi$
$618$	−7.02774	+	4.92088i	−0.282697	+	0.197947i
$619$	19.4464	−	11.2274i	0.781618	−	0.451268i	−0.0553852	−	0.998465i	$-0.517639\pi$
$619$	19.4464	−	11.2274i	0.781618	−	0.451268i	0.837003	+	0.547198i	$0.184305\pi$
$620$	−3.43936	−	1.97974i	−0.138128	−	0.0795082i
$621$	25.7707	−	30.7123i	1.03414	−	1.23244i
$622$	−2.98348	+	1.39122i	−0.119627	+	0.0557829i
$623$	−7.69746	−	3.58938i	−0.308392	−	0.143806i
$624$	0.502837	+	0.599258i	0.0201296	+	0.0239895i
$625$	4.46955	+	24.5972i	0.178782	+	0.983889i
$626$		−	8.12126i		−	0.324591i
$627$	−5.28785	−	5.67433i	−0.211177	−	0.226611i
$628$	16.3380	−	16.3380i	0.651956	−	0.651956i
$629$	−2.55990	−	14.5179i	−0.102070	−	0.578868i
$630$	−23.4734	+	19.7488i	−0.935204	+	0.786810i
$631$	12.9935	−	4.72926i	0.517264	−	0.188269i	−0.0701787	−	0.997534i	$-0.522357\pi$
$631$	12.9935	−	4.72926i	0.517264	−	0.188269i	0.587443	+	0.809266i	$0.300135\pi$
$632$	2.63196	+	5.64425i	0.104694	+	0.224516i
$633$	−19.9901	+	1.74891i	−0.794537	+	0.0695130i
$634$	14.7000	+	8.48702i	0.583810	+	0.337063i
$635$	−7.71752	+	28.9531i	−0.306260	+	1.14897i
$636$	−3.23090	+	18.3234i	−0.128114	+	0.726569i
$637$	−1.08492	−	1.54943i	−0.0429861	−	0.0613905i
$638$	−5.42377	−	1.45330i	−0.214729	−	0.0575365i
$639$	4.27886	−	7.41120i	0.169269	−	0.293183i
$640$	18.3535	−	1.62984i	0.725485	−	0.0644250i
$641$	10.3038	−	28.3093i	0.406974	−	1.11815i	−0.551799	−	0.833977i	$-0.686058\pi$
$641$	10.3038	−	28.3093i	0.406974	−	1.11815i	0.958773	−	0.284174i	$-0.0917194\pi$
$642$	13.8344	−	29.6679i	0.546000	−	1.17090i
$643$	−2.23293	+	25.5226i	−0.0880584	+	1.00651i	0.815702	+	0.578473i	$0.196351\pi$
$643$	−2.23293	+	25.5226i	−0.0880584	+	1.00651i	−0.903760	+	0.428039i	$0.859205\pi$
$644$	−46.9665	+	8.28147i	−1.85074	+	0.326336i
$645$	−0.00301422	−	2.31184i	−0.000118685	−	0.0910285i
$646$	32.1945	−	25.1358i	1.26667	−	0.988953i
$647$	−5.87443	−	5.87443i	−0.230948	−	0.230948i	0.582141	−	0.813088i	$-0.302215\pi$
$647$	−5.87443	−	5.87443i	−0.230948	−	0.230948i	−0.813088	+	0.582141i	$0.802215\pi$
$648$	0.883679	−	1.26202i	0.0347142	−	0.0495770i
$649$	−12.5450	+	10.5265i	−0.492433	+	0.413200i
$650$	1.20356	−	0.441617i	0.0472074	−	0.0173216i
$651$	−6.24514	−	2.27305i	−0.244766	−	0.0890877i
$652$	−0.734220	−	8.39218i	−0.0287543	−	0.328663i
$653$	1.41293	+	5.27313i	0.0552922	+	0.206353i	0.988046	−	0.154162i	$-0.0492676\pi$
$653$	1.41293	+	5.27313i	0.0552922	+	0.206353i	−0.932753	+	0.360515i	$0.882601\pi$
$654$	9.60587	+	16.6379i	0.375619	+	0.650591i
$655$	−23.5860	−	4.12714i	−0.921580	−	0.161261i
$656$	7.76940	+	1.36995i	0.303344	+	0.0534878i
$657$	2.55323	−	9.52877i	0.0996108	−	0.371753i
$658$	−20.0566	+	5.37414i	−0.781886	+	0.209506i
$659$	22.7331	+	19.0754i	0.885557	+	0.743071i	0.967314	−	0.253582i	$-0.0816087\pi$
$659$	22.7331	+	19.0754i	0.885557	+	0.743071i	−0.0817569	+	0.996652i	$0.526053\pi$
$660$	2.39156	+	5.11131i	0.0930914	+	0.198958i
$661$	8.70685	+	23.9219i	0.338657	+	0.930454i	0.985776	+	0.168064i	$0.0537516\pi$
$661$	8.70685	+	23.9219i	0.338657	+	0.930454i	−0.647119	+	0.762389i	$0.724026\pi$
$662$	−20.9669	−	1.83436i	−0.814900	−	0.0712945i
$663$	0.673098	+	0.471309i	0.0261410	+	0.0183041i
$664$	0.510143			0.0197974
$665$	−10.0027	−	43.1354i	−0.387886	−	1.67272i
$666$	8.78348			0.340353
$667$	12.0980	+	8.47108i	0.468435	+	0.328001i
$668$	21.1005	+	1.84605i	0.816402	+	0.0714259i
$669$	7.50925	+	20.6315i	0.290324	+	0.797660i
$670$	−55.2362	−	20.0228i	−2.13396	−	0.773548i
$671$	3.46407	+	2.90670i	0.133729	+	0.112212i
$672$	−34.7297	+	9.30579i	−1.33973	+	0.358979i
$673$	10.0188	−	37.3907i	0.386197	−	1.44131i	−0.450075	−	0.892991i	$-0.648603\pi$
$673$	10.0188	−	37.3907i	0.386197	−	1.44131i	0.836272	−	0.548315i	$-0.184731\pi$
$674$	−28.4049	−	5.00855i	−1.09412	−	0.192922i
$675$	−15.5920	−	22.1445i	−0.600136	−	0.852344i
$676$	9.20516	+	15.9438i	0.354045	+	0.613224i
$677$	−3.50187	−	13.0692i	−0.134588	−	0.502289i	−0.999999	−	0.00122697i	$-0.999609\pi$
$677$	−3.50187	−	13.0692i	−0.134588	−	0.502289i	0.865411	−	0.501062i	$-0.167057\pi$
$678$	−0.807950	−	9.23491i	−0.0310291	−	0.354665i
$679$	5.08195	+	1.84968i	0.195027	+	0.0709842i
$680$	11.4483	−	4.18374i	0.439021	−	0.160439i
$681$	−0.0827514	+	0.0694367i	−0.00317104	+	0.00266082i
$682$	2.01979	−	2.88456i	0.0773418	−	0.110456i
$683$	8.52271	+	8.52271i	0.326112	+	0.326112i	0.851106	−	0.524994i	$-0.175932\pi$
$683$	8.52271	+	8.52271i	0.326112	+	0.326112i	−0.524994	+	0.851106i	$0.675932\pi$
$684$	4.73739	+	8.91691i	0.181139	+	0.340947i
$685$	32.9611	−	33.0471i	1.25938	−	1.26267i
$686$	54.9172	−	9.68339i	2.09675	−	0.369714i
$687$	−1.04905	+	11.9906i	−0.0400236	+	0.457472i
$688$	−1.80337	+	3.86734i	−0.0687528	+	0.147441i
$689$	−0.532265	+	1.46239i	−0.0202777	+	0.0557125i
$690$	−3.16429	−	35.6329i	−0.120463	−	1.35652i
$691$	−26.0866	+	45.1834i	−0.992383	+	1.71886i	−0.389504	+	0.921025i	$0.627354\pi$
$691$	−26.0866	+	45.1834i	−0.992383	+	1.71886i	−0.602878	+	0.797833i	$0.705980\pi$
$692$	−18.8316	−	5.04591i	−0.715869	−	0.191817i
$693$	−6.47797	−	9.25150i	−0.246078	−	0.351435i
$694$	4.51095	−	25.5829i	0.171233	−	0.971113i
$695$	7.53632	+	13.0141i	0.285869	+	0.493652i
$696$	2.17272	+	1.25442i	0.0823568	+	0.0475487i
$697$	8.25533	−	0.722248i	0.312693	−	0.0273571i
$698$	18.5916	+	39.8698i	0.703703	+	1.50910i
$699$	−23.8128	+	8.66714i	−0.900682	+	0.327822i
$700$	−2.72414	+	32.1010i	−0.102963	+	1.21330i
$701$	−4.07872	−	23.1316i	−0.154051	−	0.873668i	−0.959648	−	0.281204i	$-0.909266\pi$
$701$	−4.07872	−	23.1316i	−0.154051	−	0.873668i	0.805597	−	0.592464i	$-0.201845\pi$
$702$	−0.982058	+	0.982058i	−0.0370654	+	0.0370654i
$703$	−5.75979	+	11.2949i	−0.217234	+	0.425995i
$704$		−	4.36270i		−	0.164425i
$705$	−1.13046	−	6.36264i	−0.0425756	−	0.239631i
$706$	15.2450	+	18.1683i	0.573755	+	0.683774i
$707$	3.16600	+	1.47633i	0.119070	+	0.0555232i
$708$	−16.1679	+	7.53919i	−0.607625	+	0.283340i
$709$	−8.49230	+	10.1207i	−0.318935	+	0.380092i	−0.901564	−	0.432647i	$-0.857580\pi$
$709$	−8.49230	+	10.1207i	−0.318935	+	0.380092i	0.582629	+	0.812739i	$0.302024\pi$
$710$	−5.63360	−	20.9158i	−0.211425	−	0.784954i
$711$	−8.19041	+	4.72874i	−0.307164	+	0.177341i
$712$	−1.64706	+	1.15329i	−0.0617264	+	0.0432213i
$713$	−7.58698	+	5.31246i	−0.284135	+	0.198953i
$714$	−43.0995	+	24.8835i	−1.61296	+	0.931242i
$715$	0.122757	+	0.455759i	0.00459087	+	0.0170444i
$716$	3.65696	−	4.35819i	0.136667	−	0.162873i
$717$	−10.8752	+	5.07118i	−0.406141	+	0.189387i
$718$	−2.76304	−	1.28843i	−0.103116	−	0.0480837i
$719$	30.9997	+	36.9440i	1.15609	+	1.37778i	0.913092	+	0.407753i	$0.133687\pi$
$719$	30.9997	+	36.9440i	1.15609	+	1.37778i	0.243001	+	0.970026i	$0.421868\pi$
$720$	3.08262	+	17.3501i	0.114883	+	0.646600i
$721$		−	18.0325i		−	0.671565i
$722$	−35.1234	+	0.589612i	−1.30716	+	0.0219431i
$723$	16.3645	−	16.3645i	0.608603	−	0.608603i
$724$	−5.56159	−	31.5413i	−0.206695	−	1.17222i
$725$	7.62584	−	6.43280i	0.283217	−	0.238908i
$726$	17.6364	−	6.41913i	0.654549	−	0.238236i
$727$	−2.41835	−	5.18618i	−0.0896918	−	0.192345i	0.856345	−	0.516404i	$-0.172730\pi$
$727$	−2.41835	−	5.18618i	−0.0896918	−	0.192345i	−0.946037	+	0.324060i	$0.894952\pi$
$728$	−0.675041	+	0.0590585i	−0.0250187	+	0.00218885i
$729$	18.4781	+	10.6683i	0.684374	+	0.395124i
$730$	−12.5131	−	21.6083i	−0.463132	−	0.799758i
$731$	−0.778324	+	4.41410i	−0.0287874	+	0.163261i
$732$	2.82543	+	4.03514i	0.104431	+	0.149143i
$733$	14.5096	+	3.88782i	0.535923	+	0.143600i	0.516622	−	0.856214i	$-0.327189\pi$
$733$	14.5096	+	3.88782i	0.535923	+	0.143600i	0.0193008	+	0.999814i	$0.493856\pi$
$734$	16.4013	−	28.4079i	0.605384	−	1.04856i
$735$	3.15375	+	35.5142i	0.116328	+	1.30996i
$736$	−17.1379	+	47.0859i	−0.631710	+	1.73561i
$737$	9.14175	−	19.6045i	0.336741	−	0.722142i
$738$	−0.430327	+	4.91867i	−0.0158406	+	0.181059i
$739$	−37.0848	+	6.53906i	−1.36419	+	0.240543i	−0.807347	−	0.590077i	$-0.799098\pi$
$739$	−37.0848	+	6.53906i	−1.36419	+	0.240543i	−0.556840	+	0.830620i	$0.687986\pi$
$740$	6.51422	−	6.53123i	0.239468	−	0.240093i
$741$	−0.218158	−	0.672185i	−0.00801423	−	0.0246933i
$742$	−66.6483	−	66.6483i	−2.44674	−	2.44674i
$743$	3.84433	−	5.49028i	0.141035	−	0.201419i	−0.742420	−	0.669934i	$-0.766322\pi$
$743$	3.84433	−	5.49028i	0.141035	−	0.201419i	0.883455	+	0.468516i	$0.155211\pi$
$744$	−1.20527	+	1.01134i	−0.0441874	+	0.0370776i
$745$	−18.1735	+	6.64145i	−0.665825	+	0.243324i
$746$	22.6192	+	8.23272i	0.828148	+	0.301421i
$747$	0.0675201	+	0.771758i	0.00247043	+	0.0282372i
$748$	−2.83172	−	10.5681i	−0.103538	−	0.386409i
$749$	34.4022	+	59.5863i	1.25703	+	2.17724i
$750$	−23.8146	−	4.10318i	−0.869587	−	0.149827i
$751$	16.8825	+	2.97683i	0.616050	+	0.108626i	0.472960	−	0.881084i	$-0.343185\pi$
$751$	16.8825	+	2.97683i	0.616050	+	0.108626i	0.143089	+	0.989710i	$0.454296\pi$
$752$	−3.08718	+	11.5215i	−0.112578	+	0.420146i
$753$	−6.92655	+	1.85596i	−0.252418	+	0.0676351i
$754$	−0.391918	−	0.328858i	−0.0142728	−	0.0119763i
$755$	−21.9109	−	7.94257i	−0.797419	−	0.289060i
$756$	−11.9367	−	32.7959i	−0.434135	−	1.19278i
$757$	6.62372	+	0.579501i	0.240743	+	0.0210623i	0.206889	−	0.978364i	$-0.433666\pi$
$757$	6.62372	+	0.579501i	0.240743	+	0.0210623i	0.0338545	+	0.999427i	$0.489222\pi$
$758$	−29.2023	−	20.4477i	−1.06067	−	0.742692i
$759$	13.1706			0.478063
$760$	−10.0278	−	3.05518i	−0.363747	−	0.110823i
$761$	−46.7690			−1.69538			−0.847688	−	0.530495i	$-0.822006\pi$
$761$	−46.7690			−1.69538			−0.847688	+	0.530495i	$0.822006\pi$
$762$	−23.7258	−	16.6130i	−0.859495	−	0.601825i
$763$	−40.2268	−	3.51938i	−1.45631	−	0.127410i
$764$	6.15744	+	16.9174i	0.222768	+	0.612051i
$765$	7.84450	+	16.7655i	0.283619	+	0.606157i
$766$	−21.2464	−	17.8278i	−0.767664	−	0.644146i
$767$	−1.44126	+	0.386185i	−0.0520410	+	0.0139443i
$768$	−6.34427	+	23.6771i	−0.228929	+	0.854375i
$769$	48.7943	+	8.60376i	1.75957	+	0.310259i	0.957813	−	0.287392i	$-0.0927883\pi$
$769$	48.7943	+	8.60376i	1.75957	+	0.310259i	0.801756	+	0.597652i	$0.203899\pi$
$770$	−28.1593	−	4.92740i	−1.01479	−	0.177571i
$771$	13.5997	+	23.5554i	0.489783	+	0.848328i
$772$	5.47970	+	20.4505i	0.197219	+	0.736030i
$773$	1.24000	+	14.1733i	0.0445998	+	0.509778i	0.985334	+	0.170634i	$0.0545817\pi$
$773$	1.24000	+	14.1733i	0.0445998	+	0.509778i	−0.940735	+	0.339144i	$0.889863\pi$
$774$	−2.50951	−	0.913388i	−0.0902025	−	0.0328310i
$775$	2.15523	+	5.87376i	0.0774183	+	0.210992i
$776$	0.980784	−	0.822975i	0.0352081	−	0.0295431i
$777$	8.86079	−	12.6545i	0.317879	−	0.453978i
$778$	−17.7756	−	17.7756i	−0.637285	−	0.637285i
$779$	−6.04284	−	3.77880i	−0.216507	−	0.135389i
$780$	0.000670381		0.514167i	2.40035e−5		0.0184101i
$781$	7.85385	−	1.38484i	0.281033	−	0.0495536i
$782$	−6.04485	+	69.0930i	−0.216163	+	2.47076i
$783$	−4.56764	+	9.79534i	−0.163234	+	0.350057i
$784$	22.5081	−	61.8404i	0.803860	−	2.20859i
$785$	−36.2853	+	3.22223i	−1.29508	+	0.115006i
$786$	11.5725	−	20.0442i	0.412779	−	0.714954i
$787$	−20.5663	−	5.51072i	−0.733110	−	0.196436i	−0.127096	−	0.991890i	$-0.540566\pi$
$787$	−20.5663	−	5.51072i	−0.733110	−	0.196436i	−0.606014	+	0.795454i	$0.707232\pi$
$788$	5.14045	+	7.34132i	0.183121	+	0.261524i
$789$	−2.55836	+	14.5092i	−0.0910799	+	0.516540i
$790$	−6.16562	+	23.1310i	−0.219363	+	0.822964i
$791$	16.8742	+	9.74233i	0.599978	+	0.346397i
$792$	−2.66358	+	0.233033i	−0.0946463	+	0.00828048i
$793$	0.174126	+	0.373415i	0.00618341	+	0.0132604i
$794$	−8.14280	+	2.96374i	−0.288977	+	0.105179i
$795$	22.4469	−	18.8851i	0.796109	−	0.669785i
$796$	3.13360	+	17.7715i	0.111068	+	0.629895i
$797$	2.03401	−	2.03401i	0.0720484	−	0.0720484i	−0.670164	−	0.742213i	$-0.733776\pi$
$797$	2.03401	−	2.03401i	0.0720484	−	0.0720484i	0.742213	+	0.670164i	$0.233776\pi$
$798$	42.4811	+	5.23043i	1.50382	+	0.185155i
$799$			12.5291i			0.443247i
$800$	27.7779	+	19.3426i	0.982098	+	0.683863i
$801$	−1.96272	−	2.33908i	−0.0693493	−	0.0826473i
$802$	50.2809	+	23.4464i	1.77548	+	0.827920i
$803$	8.33186	−	3.88521i	0.294025	−	0.137106i
$804$	15.1464	−	18.0508i	0.534172	−	0.636602i
$805$	65.1656	+	37.5101i	2.29678	+	1.32206i
$806$	0.277862	−	0.160424i	0.00978728	−	0.00565069i
$807$	16.8155	−	11.7743i	0.591934	−	0.414476i
$808$	0.677446	−	0.474353i	0.0238325	−	0.0166877i
$809$	−8.61084	+	4.97147i	−0.302741	+	0.174788i	−0.643674	−	0.765300i	$-0.722591\pi$
$809$	−8.61084	+	4.97147i	−0.302741	+	0.174788i	0.340932	+	0.940088i	$0.389257\pi$
$810$	5.71826	−	1.54020i	0.200919	−	0.0541170i
$811$	4.70296	−	5.60477i	0.165143	−	0.196810i	−0.677126	−	0.735867i	$-0.736775\pi$
$811$	4.70296	−	5.60477i	0.165143	−	0.196810i	0.842269	+	0.539057i	$0.181219\pi$
$812$	11.6520	−	5.43339i	0.408903	−	0.190675i
$813$	17.7589	+	8.28111i	0.622831	+	0.290431i
$814$	5.26147	+	6.27038i	0.184414	+	0.219777i
$815$	−7.60389	+	10.8897i	−0.266353	+	0.381449i
$816$			28.5887i			1.00080i
$817$	2.82017	−	2.62809i	0.0986651	−	0.0919451i
$818$	44.7585	−	44.7585i	1.56495	−	1.56495i
$819$	−0.178690	−	1.01340i	−0.00624395	−	0.0354112i
$820$	3.33828	+	3.96789i	0.116578	+	0.138565i
$821$	−42.9758	+	15.6419i	−1.49986	+	0.545906i	−0.956025	−	0.293284i	$-0.905252\pi$
$821$	−42.9758	+	15.6419i	−1.49986	+	0.545906i	−0.543839	+	0.839190i	$0.683030\pi$
$822$	19.0672	+	40.8898i	0.665046	+	1.42620i
$823$	50.0561	−	4.37934i	1.74485	−	0.152654i	0.830348	−	0.557245i	$-0.188142\pi$
$823$	50.0561	−	4.37934i	1.74485	−	0.152654i	0.914498	+	0.404591i	$0.132586\pi$
$824$	−3.69709	−	2.13452i	−0.128794	−	0.0743595i
$825$	2.28030	−	8.59985i	0.0793900	−	0.299408i
$826$	15.6927	−	88.9976i	0.546018	−	3.09662i
$827$	−28.0454	−	40.0530i	−0.975234	−	1.39278i	−0.918954	−	0.394364i	$-0.870965\pi$
$827$	−28.0454	−	40.0530i	−0.975234	−	1.39278i	−0.0562800	−	0.998415i	$-0.517924\pi$
$828$	−16.5615	−	4.43765i	−0.575553	−	0.154219i
$829$	17.1185	−	29.6501i	0.594549	−	1.02979i	−0.399061	−	0.916924i	$-0.630664\pi$
$829$	17.1185	−	29.6501i	0.594549	−	1.02979i	0.993610	−	0.112865i	$-0.0360028\pi$
$830$	1.50380	+	1.25850i	0.0521976	+	0.0436831i
$831$	12.0444	−	33.0916i	0.417814	−	1.14793i
$832$	0.167991	−	0.360259i	0.00582405	−	0.0124897i
$833$	6.02472	−	68.8628i	0.208744	−	2.38596i
$834$	−14.3159	+	2.52427i	−0.495718	+	0.0874084i
$835$	−23.6441	−	23.5825i	−0.818237	−	0.816107i
$836$	−3.52785	+	8.72334i	−0.122013	+	0.301703i
$837$	−4.79277	−	4.79277i	−0.165662	−	0.165662i
$838$	7.43893	−	10.6239i	0.256974	−	0.366996i
$839$	−20.4137	+	17.1291i	−0.704758	+	0.591362i	−0.923123	−	0.384505i	$-0.874372\pi$
$839$	−20.4137	+	17.1291i	−0.704758	+	0.591362i	0.218365	+	0.975867i	$0.429928\pi$
$840$	11.5831	+	5.38294i	0.399657	+	0.185729i
$841$	23.5098	+	8.55687i	0.810683	+	0.295065i
$842$	0.556510	+	6.36093i	0.0191786	+	0.219212i
$843$	−8.48798	−	31.6776i	−0.292342	−	1.09103i
$844$	12.1721	+	21.0827i	0.418981	+	0.725696i
$845$	5.00302	−	28.5915i	0.172109	−	0.983576i
$846$	−7.35163	−	1.29629i	−0.252754	−	0.0445674i
$847$	−10.2100	+	38.1042i	−0.350819	+	1.30927i
$848$	−52.2998	+	14.0137i	−1.79598	+	0.481232i
$849$	−17.4977	−	14.6823i	−0.600519	−	0.503895i
$850$	44.0682	+	15.9095i	1.51153	+	0.545691i
$851$	−7.36344	−	20.2309i	−0.252415	−	0.693506i
$852$	8.65438	+	0.757160i	0.296494	+	0.0259399i
$853$	12.6145	+	8.83275i	0.431911	+	0.302427i	0.769241	−	0.638959i	$-0.220635\pi$
$853$	12.6145	+	8.83275i	0.431911	+	0.302427i	−0.337329	+	0.941387i	$0.609524\pi$
$854$	−24.9542			−0.853916
$855$	3.29472	−	15.5747i	0.112677	−	0.532644i
$856$	16.2888			0.556741
$857$	−28.7532	−	20.1332i	−0.982191	−	0.687737i	−0.0320266	−	0.999487i	$-0.510196\pi$
$857$	−28.7532	−	20.1332i	−0.982191	−	0.687737i	−0.950164	+	0.311750i	$0.899085\pi$
$858$	−0.454511	−	0.0397645i	−0.0155167	−	0.00135754i
$859$	13.2030	+	36.2749i	0.450480	+	1.23768i	0.932387	+	0.361462i	$0.117722\pi$
$859$	13.2030	+	36.2749i	0.450480	+	1.23768i	−0.481907	+	0.876223i	$0.660056\pi$
$860$	−2.54034	+	1.18862i	−0.0866250	+	0.0405315i
$861$	6.65229	+	5.58194i	0.226710	+	0.190232i
$862$	18.7128	−	5.01409i	0.637362	−	0.170781i
$863$	−8.56232	+	31.9550i	−0.291465	+	1.08776i	0.652520	+	0.757772i	$0.273712\pi$
$863$	−8.56232	+	31.9550i	−0.291465	+	1.08776i	−0.943985	+	0.329989i	$0.892955\pi$
$864$	−36.1121	−	6.36754i	−1.22856	−	0.216628i
$865$	17.6631	+	25.1556i	0.600562	+	0.855316i
$866$	−22.0247	−	38.1479i	−0.748429	−	1.29632i
$867$	2.62842	+	9.80941i	0.0892659	+	0.333145i
$868$	0.702710	+	8.03201i	0.0238515	+	0.272624i
$869$	−8.28198	−	3.01439i	−0.280947	−	0.102256i
$870$	3.31014	+	9.05778i	0.112224	+	0.307088i
$871$	1.50980	−	1.26687i	0.0511575	−	0.0429263i
$872$	−5.48323	+	7.83086i	−0.185686	+	0.265187i
$873$	1.37483	+	1.37483i	0.0465310	+	0.0465310i
$874$	39.9285	−	44.3153i	1.35060	−	1.49899i
$875$	35.7750	−	36.0560i	1.20942	−	1.21891i
$876$	9.86230	−	1.73899i	0.333216	−	0.0587550i
$877$	3.04056	−	34.7538i	0.102672	−	1.17355i	−0.753709	−	0.657208i	$-0.771737\pi$
$877$	3.04056	−	34.7538i	0.102672	−	1.17355i	0.856382	−	0.516343i	$-0.172707\pi$
$878$	0.451238	−	0.967683i	0.0152285	−	0.0326577i
$879$	2.24011	−	6.15466i	0.0755571	−	0.207591i
$880$	−10.5394	+	12.5937i	−0.355283	+	0.424533i
$881$	−4.01849	+	6.96024i	−0.135387	+	0.234496i	−0.925745	−	0.378148i	$-0.876561\pi$
$881$	−4.01849	+	6.96024i	−0.135387	+	0.234496i	0.790359	+	0.612645i	$0.209894\pi$
$882$	39.7830	+	10.6598i	1.33956	+	0.358935i
$883$	−3.73014	−	5.32719i	−0.125529	−	0.179274i	0.751468	−	0.659769i	$-0.229346\pi$
$883$	−3.73014	−	5.32719i	−0.125529	−	0.179274i	−0.876997	+	0.480495i	$0.840457\pi$
$884$	0.173104	−	0.981724i	0.00582213	−	0.0330189i
$885$	27.1766	+	7.24399i	0.913532	+	0.243504i
$886$	13.6057	+	7.85523i	0.457091	+	0.263902i
$887$	47.7217	−	4.17511i	1.60234	−	0.140186i	0.749370	−	0.662151i	$-0.230356\pi$
$887$	47.7217	−	4.17511i	1.60234	−	0.140186i	0.852967	+	0.521965i	$0.174801\pi$
$888$	−1.54562	−	3.31460i	−0.0518677	−	0.111231i
$889$	57.2066	−	20.8215i	1.91865	−	0.698331i
$890$	−7.70031	−	0.663575i	−0.258115	−	0.0222431i
$891$	0.378609	+	2.14720i	0.0126839	+	0.0719339i
$892$	18.8345	−	18.8345i	0.630625	−	0.630625i
$893$	6.48778	−	8.60359i	0.217105	−	0.287908i
$894$		−	18.7032i		−	0.625527i
$895$	−8.83136	+	1.56908i	−0.295200	+	0.0524487i
$896$	−24.0631	−	28.6773i	−0.803892	−	0.958041i
$897$	1.08759	+	0.507152i	0.0363136	+	0.0169333i
$898$	−14.3312	+	6.68276i	−0.478239	+	0.223007i
$899$	1.60494	−	1.91269i	0.0535276	−	0.0637918i
$900$	−5.76499	+	10.0457i	−0.192166	+	0.334855i
$901$	−49.2540	+	28.4368i	−1.64089	+	0.947367i
$902$	−3.76913	+	2.63917i	−0.125498	+	0.0878747i
$903$	−3.84753	+	2.69407i	−0.128038	+	0.0896531i
$904$	3.99483	−	2.30641i	0.132866	−	0.0767102i
$905$	−25.1907	+	43.7632i	−0.837367	+	1.45474i
$906$	14.4808	−	17.2575i	0.481092	−	0.573343i
$907$	−24.9537	+	11.6361i	−0.828574	+	0.386370i	−0.790167	−	0.612892i	$-0.790006\pi$
$907$	−24.9537	+	11.6361i	−0.828574	+	0.386370i	−0.0384071	+	0.999262i	$0.512228\pi$
$908$	0.118774	+	0.0553852i	0.00394165	+	0.00183802i
$909$	0.807277	+	0.962075i	0.0267757	+	0.0319100i
$910$	−2.13558	−	1.49120i	−0.0707938	−	0.0494329i
$911$			50.4735i			1.67226i	0.548529	+	0.836132i	$0.315188\pi$
$911$			50.4735i			1.67226i	−0.548529	+	0.836132i	$0.684812\pi$
$912$	14.8037	−	19.6316i	0.490200	−	0.650066i
$913$	−0.510499	+	0.510499i	−0.0168951	+	0.0168951i
$914$	−0.455586	−	2.58376i	−0.0150694	−	0.0854631i
$915$	0.666795	−	7.73768i	0.0220436	−	0.255800i
$916$	13.7217	−	4.99429i	0.453378	−	0.165016i
$917$	20.5594	+	44.0898i	0.678932	+	1.45598i
$918$	−50.5627	+	4.42367i	−1.66882	+	0.146003i
$919$	22.3948	+	12.9296i	0.738736	+	0.426510i	0.821610	−	0.570050i	$-0.193076\pi$
$919$	22.3948	+	12.9296i	0.738736	+	0.426510i	−0.0828733	+	0.996560i	$0.526410\pi$
$920$	15.4042	−	8.92041i	0.507861	−	0.294097i
$921$	−3.31604	+	18.8062i	−0.109267	+	0.619685i
$922$	0.799352	+	1.14159i	0.0263252	+	0.0375964i
$923$	0.701873	+	0.188066i	0.0231024	+	0.00619027i
$924$	5.73260	−	9.92915i	0.188589	−	0.326645i
$925$	−14.4848	+	1.30532i	−0.476257	+	0.0429188i
$926$	−13.8226	+	37.9773i	−0.454239	+	1.24801i
$927$	2.73983	−	5.87558i	0.0899877	−	0.192979i
$928$	1.17730	−	13.4566i	0.0386467	−	0.441734i
$929$	−49.5361	+	8.73454i	−1.62523	+	0.286571i	−0.910709	−	0.413048i	$-0.864464\pi$
$929$	−49.5361	+	8.73454i	−1.62523	+	0.286571i	−0.714516	+	0.699619i	$0.753353\pi$
$930$	−6.04783	+	0.00788528i	−0.198316	+	0.000258568i
$931$	−39.7955	+	44.1677i	−1.30424	+	1.44754i
$932$	21.7387	+	21.7387i	0.712074	+	0.712074i
$933$	−1.19391	+	1.70509i	−0.0390870	+	0.0558220i
$934$	4.44157	−	3.72692i	0.145333	−	0.121949i
$935$	−7.26959	+	15.6429i	−0.237741	+	0.511577i
$936$	−0.228924	−	0.0833215i	−0.00748262	−	0.00272345i
$937$	2.94620	+	33.6752i	0.0962482	+	1.10012i	0.878688	+	0.477396i	$0.158419\pi$
$937$	2.94620	+	33.6752i	0.0962482	+	1.10012i	−0.782440	+	0.622726i	$0.786025\pi$
$938$	30.8950	+	115.302i	1.00876	+	3.76474i
$939$	−2.56760	−	4.44721i	−0.0837904	−	0.145129i
$940$	−6.41619	+	4.50515i	−0.209273	+	0.146942i
$941$	−20.3861	−	3.59461i	−0.664567	−	0.117181i	−0.168818	−	0.985647i	$-0.553995\pi$
$941$	−20.3861	−	3.59461i	−0.664567	−	0.117181i	−0.495748	+	0.868466i	$0.665106\pi$
$942$	9.11358	−	34.0124i	0.296937	−	1.10818i
$943$	11.6899	−	3.13229i	0.380674	−	0.102001i
$944$	−39.7680	−	33.3693i	−1.29434	−	1.08608i
$945$	−18.7521	+	51.7308i	−0.610007	+	1.68280i
$946$	−0.851193	−	2.33863i	−0.0276747	−	0.0760355i
$947$	−36.6021	−	3.20227i	−1.18941	−	0.104060i	−0.524782	−	0.851237i	$-0.675853\pi$
$947$	−36.6021	−	3.20227i	−1.18941	−	0.104060i	−0.664625	+	0.747177i	$0.731409\pi$
$948$	−7.86455	−	5.50681i	−0.255429	−	0.178853i
$949$	0.837625			0.0271905
$950$	−22.0230	−	33.7442i	−0.714520	−	1.09481i
$951$	10.7329			0.348040
$952$	−20.2855	−	14.2040i	−0.657455	−	0.460355i
$953$	−13.6473	−	1.19399i	−0.442080	−	0.0386770i	−0.136057	−	0.990701i	$-0.543443\pi$
$953$	−13.6473	−	1.19399i	−0.442080	−	0.0386770i	−0.306023	+	0.952024i	$0.598999\pi$
$954$	−11.5898	−	31.8427i	−0.375233	−	1.03094i
$955$	9.67309	−	26.6848i	0.313014	−	0.863500i
$956$	11.1516	+	9.35734i	0.360670	+	0.302638i
$957$	−3.42954	+	0.918941i	−0.110861	+	0.0297052i
$958$	−13.7129	+	51.1774i	−0.443045	+	1.65347i
$959$	−93.3888	−	16.4670i	−3.01568	−	0.531746i
$960$	−6.13207	+	4.30565i	−0.197912	+	0.138964i
$961$	−14.7171	−	25.4907i	−0.474744	−	0.822282i
$962$	0.193028	+	0.720389i	0.00622346	+	0.0232263i
$963$	2.15591	+	24.6422i	0.0694733	+	0.794083i
$964$	−26.3832	−	9.60271i	−0.849746	−	0.309282i
$965$	14.0675	−	30.2708i	0.452848	−	0.974451i
$966$	−55.6764	+	46.7180i	−1.79136	+	1.50313i
$967$	−0.179322	+	0.256099i	−0.00576661	+	0.00823557i	−0.822025	−	0.569451i	$-0.807156\pi$
$967$	−0.179322	+	0.256099i	−0.00576661	+	0.00823557i	0.816258	+	0.577687i	$0.196045\pi$
$968$	6.60371	+	6.60371i	0.212251	+	0.212251i
$969$	9.68286	−	23.9429i	0.311058	−	0.769157i
$970$	4.92139	−	0.00641660i	0.158016	−	0.000206025i
$971$	−38.3652	+	6.76482i	−1.23120	+	0.217093i	−0.751140	−	0.660143i	$-0.770496\pi$
$971$	−38.3652	+	6.76482i	−1.23120	+	0.217093i	−0.480058	+	0.877237i	$0.659384\pi$
$972$	1.80165	−	20.5930i	0.0577881	−	0.660521i
$973$	12.9127	−	27.6915i	0.413963	−	0.887748i
$974$	−6.15835	+	16.9199i	−0.197326	+	0.542149i
$975$	0.519449	−	0.622344i	0.0166357	−	0.0199310i
$976$	−7.16748	+	12.4144i	−0.229425	+	0.397376i
$977$	16.1368	+	4.32385i	0.516262	+	0.138332i	0.507537	−	0.861630i	$-0.330556\pi$
$977$	16.1368	+	4.32385i	0.516262	+	0.138332i	0.00872521	+	0.999962i	$0.497223\pi$
$978$	−7.36379	−	10.5166i	−0.235468	−	0.336283i
$979$	0.494122	−	2.80231i	0.0157922	−	0.0895621i
$980$	37.4313	−	21.6761i	1.19570	−	0.692417i
$981$	−12.5725	−	7.25872i	−0.401408	−	0.231753i
$982$	−15.9567	+	1.39603i	−0.509199	+	0.0445491i
$983$	−9.25970	−	19.8575i	−0.295338	−	0.633355i	0.701512	−	0.712657i	$-0.252509\pi$
$983$	−9.25970	−	19.8575i	−0.295338	−	0.633355i	−0.996851	+	0.0793022i	$0.974731\pi$
$984$	1.93187	−	0.703143i	0.0615857	−	0.0224154i
$985$	1.21313	−	14.0775i	0.0386536	−	0.448548i
$986$	−3.24673	−	18.4131i	−0.103397	−	0.586393i
$987$	−9.28392	+	9.28392i	−0.295510	+	0.295510i
$988$	−0.627223	+	0.584503i	−0.0199546	+	0.0185955i
$989$			6.54585i			0.208146i
$990$	−8.42658	−	5.88400i	−0.267814	−	0.187006i
$991$	20.3243	+	24.2215i	0.645622	+	0.769422i	0.985247	−	0.171139i	$-0.0547446\pi$
$991$	20.3243	+	24.2215i	0.645622	+	0.769422i	−0.339625	+	0.940561i	$0.610300\pi$
$992$	7.67757	+	3.58011i	0.243763	+	0.113669i
$993$	−12.0614	+	5.62433i	−0.382758	+	0.178483i
$994$	−28.2885	+	33.7129i	−0.897256	+	1.06931i
$995$	14.1934	−	24.6578i	0.449959	−	0.781705i
$996$	−0.681085	+	0.393225i	−0.0215810	+	0.0124598i
$997$	28.7750	−	20.1485i	0.911314	−	0.638109i	−0.0209919	−	0.999780i	$-0.506682\pi$
$997$	28.7750	−	20.1485i	0.911314	−	0.638109i	0.932306	+	0.361671i	$0.117794\pi$
$998$	2.26683	−	1.58725i	0.0717553	−	0.0502436i
$999$	13.6445	−	7.87763i	0.431692	−	0.249237i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.r.a.67.2	yes	96
3.2	odd	2		855.2.dl.a.352.7		96
5.2	odd	4		475.2.bb.b.143.7		96
5.3	odd	4	inner	95.2.r.a.48.2	yes	96
5.4	even	2		475.2.bb.b.257.7		96
15.8	even	4		855.2.dl.a.523.7		96
19.2	odd	18	inner	95.2.r.a.2.2	✓	96
57.2	even	18		855.2.dl.a.667.7		96
95.2	even	36		475.2.bb.b.268.7		96
95.59	odd	18		475.2.bb.b.382.7		96
95.78	even	36	inner	95.2.r.a.78.2	yes	96
285.173	odd	36		855.2.dl.a.838.7		96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.r.a.2.2	✓	96	19.2	odd	18	inner
95.2.r.a.48.2	yes	96	5.3	odd	4	inner
95.2.r.a.67.2	yes	96	1.1	even	1	trivial
95.2.r.a.78.2	yes	96	95.78	even	36	inner
475.2.bb.b.143.7		96	5.2	odd	4
475.2.bb.b.257.7		96	5.4	even	2
475.2.bb.b.268.7		96	95.2	even	36
475.2.bb.b.382.7		96	95.59	odd	18
855.2.dl.a.352.7		96	3.2	odd	2
855.2.dl.a.523.7		96	15.8	even	4
855.2.dl.a.667.7		96	57.2	even	18
855.2.dl.a.838.7		96	285.173	odd	36

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.r (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.51450 - 1.06046i) q^{2} +(-1.16461 - 0.101890i) q^{3} +(0.485079 + 1.33274i) q^{4} +(0.762040 - 2.10221i) q^{5} +(1.65575 + 1.38934i) q^{6} +(-4.38823 + 1.17582i) q^{7} +(-0.278366 + 1.03888i) q^{8} +(-1.60848 - 0.283619i) q^{9} +(-3.38342 + 2.37568i) q^{10} +(-0.761040 - 1.31816i) q^{11} +(-0.429136 - 1.60156i) q^{12} +(-0.0120870 - 0.138155i) q^{13} +(7.89287 + 2.87277i) q^{14} +(-1.10168 + 2.37062i) q^{15} +(3.69620 - 3.10148i) q^{16} +(2.90701 - 4.15164i) q^{17} +(2.13527 + 2.13527i) q^{18} +(-4.14601 + 1.34559i) q^{19} +(3.17136 - 0.00413488i) q^{20} +(5.23039 - 0.922259i) q^{21} +(-0.245266 + 2.80340i) q^{22} +(3.12809 - 6.70821i) q^{23} +(0.430040 - 1.18152i) q^{24} +(-3.83859 - 3.20394i) q^{25} +(-0.128202 + 0.222052i) q^{26} +(5.23204 + 1.40192i) q^{27} +(-3.69571 - 5.27802i) q^{28} +(-0.346487 + 1.96502i) q^{29} +(4.18244 - 2.42201i) q^{30} +(-1.08369 - 0.625668i) q^{31} +(-6.74402 + 0.590025i) q^{32} +(0.752009 + 1.61269i) q^{33} +(-8.80531 + 3.20487i) q^{34} +(-0.872178 + 10.1210i) q^{35} +(-0.402250 - 2.28127i) q^{36} +(2.05676 - 2.05676i) q^{37} +(7.70606 + 2.35879i) q^{38} +0.162128i q^{39} +(1.97181 + 1.37685i) q^{40} +(1.05100 + 1.25253i) q^{41} +(-8.89943 - 4.14987i) q^{42} +(-0.801514 + 0.373752i) q^{43} +(1.38761 - 1.65368i) q^{44} +(-1.82195 + 3.16524i) q^{45} +(-11.8513 + 6.84234i) q^{46} +(-2.02502 + 1.41793i) q^{47} +(-4.62065 + 3.23541i) q^{48} +(11.8118 - 6.81954i) q^{49} +(2.41588 + 8.92303i) q^{50} +(-3.80855 + 4.53886i) q^{51} +(0.178262 - 0.0831248i) q^{52} +(-10.1702 - 4.74246i) q^{53} +(-6.43722 - 7.67158i) q^{54} +(-3.35100 + 0.595377i) q^{55} -4.88613i q^{56} +(4.96560 - 1.14465i) q^{57} +(2.60859 - 2.60859i) q^{58} +(-1.86831 - 10.5957i) q^{59} +(-3.69383 - 0.318316i) q^{60} +(-2.79178 + 1.01612i) q^{61} +(0.977745 + 2.09678i) q^{62} +(7.39187 - 0.646704i) q^{63} +(2.48226 + 1.43314i) q^{64} +(-0.299641 - 0.0798700i) q^{65} +(0.571280 - 3.23989i) q^{66} +(8.15144 + 11.6415i) q^{67} +(6.94321 + 1.86043i) q^{68} +(-4.32651 + 7.49374i) q^{69} +(12.0538 - 14.4033i) q^{70} +(-1.79203 + 4.92356i) q^{71} +(0.742391 - 1.59206i) q^{72} +(-0.526410 + 6.01690i) q^{73} +(-5.29607 + 0.933839i) q^{74} +(4.14402 + 4.12246i) q^{75} +(-3.80447 - 4.87285i) q^{76} +(4.88954 + 4.88954i) q^{77} +(0.171931 - 0.245543i) q^{78} +(4.43572 - 3.72201i) q^{79} +(-3.70331 - 10.1336i) q^{80} +(-1.34607 - 0.489931i) q^{81} +(-0.263472 - 3.01150i) q^{82} +(-0.122763 - 0.458159i) q^{83} +(3.76629 + 6.52341i) q^{84} +(-6.51237 - 9.27487i) q^{85} +(1.61024 + 0.283929i) q^{86} +(0.603740 - 2.25319i) q^{87} +(1.58125 - 0.423695i) q^{88} +(1.43212 + 1.20169i) q^{89} +(6.11596 - 2.86163i) q^{90} +(0.215486 + 0.592042i) q^{91} +(10.4577 + 0.914930i) q^{92} +(1.19833 + 0.839078i) q^{93} +4.57054 q^{94} +(-0.330711 + 9.74118i) q^{95} +7.91429 q^{96} +(-0.975134 - 0.682796i) q^{97} +(-25.1208 - 2.19778i) q^{98} +(0.850264 + 2.33608i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8} - 12 q^{10} - 12 q^{11} - 18 q^{12} - 12 q^{13} + 6 q^{15} + 12 q^{16} - 30 q^{17} - 84 q^{20} + 24 q^{21} - 24 q^{22} + 12 q^{25} - 48 q^{26}+ \cdots - 90 q^{98}+O(q^{100}) \) 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8 - 12 * q^10 - 12 * q^11 - 18 * q^12 - 12 * q^13 + 6 * q^15 + 12 * q^16 - 30 * q^17 - 84 * q^20 + 24 * q^21 - 24 * q^22 + 12 * q^25 - 48 * q^26 - 18 * q^27 - 6 * q^30 - 36 * q^31 + 18 * q^32 + 90 * q^33 - 30 * q^35 + 24 * q^36 + 54 * q^38 + 54 * q^40 + 12 * q^41 + 24 * q^42 + 48 * q^43 + 12 * q^45 - 36 * q^46 - 24 * q^47 + 60 * q^48 + 126 * q^50 - 96 * q^51 - 30 * q^53 + 18 * q^55 - 66 * q^57 + 120 * q^58 + 84 * q^60 - 48 * q^61 + 60 * q^62 - 126 * q^63 + 72 * q^65 + 72 * q^66 + 108 * q^67 + 18 * q^68 + 36 * q^70 - 24 * q^71 + 48 * q^72 + 6 * q^73 + 60 * q^76 + 168 * q^77 - 138 * q^78 - 60 * q^80 - 120 * q^81 + 60 * q^82 - 36 * q^85 - 180 * q^86 - 6 * q^87 - 198 * q^88 - 270 * q^90 - 24 * q^91 - 72 * q^92 - 90 * q^93 - 24 * q^95 - 192 * q^96 - 72 * q^97 - 90 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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