LMFDB - Embedded newform 354.2.e.b.127.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [354,2,Mod(7,354)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(354, base_ring=CyclotomicField(58))

chi = DirichletCharacter(H, H._module([0, 18]))

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

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

chi := DirichletCharacter("354.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 354 = 2 \cdot 3 \cdot 59 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	354.e (of order $29$, degree $28$, 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:	$2.82670423155$
Analytic rank:	$0$
Dimension:	$56$
Relative dimension:	$2$ over $\Q(\zeta_{29})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label			127.1
Character	$\chi$	$=$	354.127
Dual form			354.2.e.b.223.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.647386 + 0.762162i) q^{2} +(-0.796093 - 0.605174i) q^{3} +(-0.161782 - 0.986827i) q^{4} +(-1.07211 - 2.02222i) q^{5} +(0.976621 - 0.214970i) q^{6} +(-1.17973 - 0.128303i) q^{7} +(0.856857 + 0.515554i) q^{8} +(0.267528 + 0.963550i) q^{9} +O(q^{10})$	\(q+(-0.647386 + 0.762162i) q^{2} +(-0.796093 - 0.605174i) q^{3} +(-0.161782 - 0.986827i) q^{4} +(-1.07211 - 2.02222i) q^{5} +(0.976621 - 0.214970i) q^{6} +(-1.17973 - 0.128303i) q^{7} +(0.856857 + 0.515554i) q^{8} +(0.267528 + 0.963550i) q^{9} +(2.23533 + 0.492034i) q^{10} +(0.222057 + 0.0748198i) q^{11} +(-0.468408 + 0.883512i) q^{12} +(-1.65335 + 5.95483i) q^{13} +(0.861529 - 0.816084i) q^{14} +(-0.370294 + 2.25869i) q^{15} +(-0.947653 + 0.319302i) q^{16} +(-7.79523 + 0.847783i) q^{17} +(-0.907575 - 0.419889i) q^{18} +(-0.0855598 + 1.57806i) q^{19} +(-1.82213 + 1.38515i) q^{20} +(0.861529 + 0.816084i) q^{21} +(-0.200782 + 0.120806i) q^{22} +(-0.473540 + 0.219083i) q^{23} +(-0.370138 - 0.928977i) q^{24} +(-0.134019 + 0.197663i) q^{25} +(-3.46819 - 5.11520i) q^{26} +(0.370138 - 0.928977i) q^{27} +(0.0642459 + 1.18495i) q^{28} +(-2.73192 - 3.21626i) q^{29} +(-1.48177 - 1.74447i) q^{30} +(0.421203 + 7.76862i) q^{31} +(0.370138 - 0.928977i) q^{32} +(-0.131499 - 0.193947i) q^{33} +(4.40038 - 6.49007i) q^{34} +(1.00535 + 2.52323i) q^{35} +(0.907575 - 0.419889i) q^{36} +(2.27242 - 1.36727i) q^{37} +(-1.14735 - 1.08682i) q^{38} +(4.91993 - 3.74003i) q^{39} +(0.123916 - 2.28549i) q^{40} +(-5.32880 - 2.46536i) q^{41} +(-1.17973 + 0.128303i) q^{42} +(-6.70620 + 2.25958i) q^{43} +(0.0379093 - 0.231237i) q^{44} +(1.66169 - 1.57404i) q^{45} +(0.139587 - 0.502746i) q^{46} +(1.41966 - 2.67776i) q^{47} +(0.947653 + 0.319302i) q^{48} +(-5.46104 - 1.20207i) q^{49} +(-0.0638894 - 0.230109i) q^{50} +(6.71879 + 4.04256i) q^{51} +(6.14387 + 0.668186i) q^{52} +(-10.0924 + 2.22151i) q^{53} +(0.468408 + 0.883512i) q^{54} +(-0.0867686 - 0.529265i) q^{55} +(-0.944713 - 0.718152i) q^{56} +(1.02311 - 1.20450i) q^{57} +4.21992 q^{58} +(6.80324 + 3.56594i) q^{59} +2.28885 q^{60} +(6.95622 - 8.18949i) q^{61} +(-6.19363 - 4.70828i) q^{62} +(-0.191985 - 1.17105i) q^{63} +(0.468408 + 0.883512i) q^{64} +(13.8146 - 3.04082i) q^{65} +(0.232950 + 0.0253348i) q^{66} +(5.10505 + 3.07160i) q^{67} +(2.09774 + 7.55539i) q^{68} +(0.509566 + 0.112164i) q^{69} +(-2.57396 - 0.867268i) q^{70} +(3.36687 - 6.35058i) q^{71} +(-0.267528 + 0.963550i) q^{72} +(-7.30830 + 6.92279i) q^{73} +(-0.429052 + 2.61710i) q^{74} +(0.226312 - 0.0762536i) q^{75} +(1.57111 - 0.170869i) q^{76} +(-0.252368 - 0.116758i) q^{77} +(-0.334584 + 6.17103i) q^{78} +(1.72529 - 1.31153i) q^{79} +(1.66169 + 1.57404i) q^{80} +(-0.856857 + 0.515554i) q^{81} +(5.32880 - 2.46536i) q^{82} +(0.876396 + 2.19959i) q^{83} +(0.665953 - 0.982207i) q^{84} +(10.0718 + 14.8548i) q^{85} +(2.61934 - 6.57404i) q^{86} +(0.228462 + 4.21373i) q^{87} +(0.151698 + 0.178592i) q^{88} +(-0.151243 - 0.178057i) q^{89} +(0.123916 + 2.28549i) q^{90} +(2.71453 - 6.81296i) q^{91} +(0.292807 + 0.431858i) q^{92} +(4.36605 - 6.43945i) q^{93} +(1.12182 + 2.81556i) q^{94} +(3.28291 - 1.51884i) q^{95} +(-0.856857 + 0.515554i) q^{96} +(-0.201018 - 0.190414i) q^{97} +(4.45157 - 3.38400i) q^{98} +(-0.0126860 + 0.233980i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{5} - 2 q^{6} + q^{7} + 2 q^{8} - 2 q^{9}+O(q^{10}) $ 56 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^5 - 2 * q^6 + q^7 + 2 * q^8 - 2 * q^9	\( 56 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{5} - 2 q^{6} + q^{7} + 2 q^{8} - 2 q^{9} + 2 q^{10} + 30 q^{11} + 2 q^{12} + 5 q^{13} + 28 q^{14} + 2 q^{15} - 2 q^{16} - 3 q^{17} + 2 q^{18} - 4 q^{19} - 2 q^{20} + 28 q^{21} - q^{22} - 2 q^{23} - 2 q^{24} + 64 q^{25} - 34 q^{26} + 2 q^{27} + q^{28} + 8 q^{29} - 2 q^{30} + 2 q^{32} - q^{33} + 32 q^{34} - 87 q^{35} - 2 q^{36} + 47 q^{37} + 4 q^{38} - 5 q^{39} + 2 q^{40} + 3 q^{41} + q^{42} - 61 q^{43} + q^{44} - 2 q^{45} - 27 q^{46} + 50 q^{47} + 2 q^{48} - 45 q^{49} - 6 q^{50} + 3 q^{51} - 24 q^{52} - 27 q^{53} - 2 q^{54} - 95 q^{55} - q^{56} + 4 q^{57} + 50 q^{58} - 58 q^{59} + 2 q^{60} - 74 q^{61} - 29 q^{62} + q^{63} - 2 q^{64} - 17 q^{65} + q^{66} + 4 q^{67} - 32 q^{68} + 31 q^{69} - 58 q^{70} - 47 q^{71} + 2 q^{72} + 43 q^{73} - 18 q^{74} - 6 q^{75} - 33 q^{76} - 5 q^{77} + 5 q^{78} + 19 q^{79} - 2 q^{80} - 2 q^{81} - 3 q^{82} + 47 q^{83} - q^{84} - 149 q^{85} - 55 q^{86} + 21 q^{87} + 28 q^{88} + 36 q^{89} + 2 q^{90} + 175 q^{91} - 2 q^{92} - 29 q^{93} - 21 q^{94} + 50 q^{95} - 2 q^{96} + 10 q^{97} - 13 q^{98} + q^{99}+O(q^{100}) \) 56 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^5 - 2 * q^6 + q^7 + 2 * q^8 - 2 * q^9 + 2 * q^10 + 30 * q^11 + 2 * q^12 + 5 * q^13 + 28 * q^14 + 2 * q^15 - 2 * q^16 - 3 * q^17 + 2 * q^18 - 4 * q^19 - 2 * q^20 + 28 * q^21 - q^22 - 2 * q^23 - 2 * q^24 + 64 * q^25 - 34 * q^26 + 2 * q^27 + q^28 + 8 * q^29 - 2 * q^30 + 2 * q^32 - q^33 + 32 * q^34 - 87 * q^35 - 2 * q^36 + 47 * q^37 + 4 * q^38 - 5 * q^39 + 2 * q^40 + 3 * q^41 + q^42 - 61 * q^43 + q^44 - 2 * q^45 - 27 * q^46 + 50 * q^47 + 2 * q^48 - 45 * q^49 - 6 * q^50 + 3 * q^51 - 24 * q^52 - 27 * q^53 - 2 * q^54 - 95 * q^55 - q^56 + 4 * q^57 + 50 * q^58 - 58 * q^59 + 2 * q^60 - 74 * q^61 - 29 * q^62 + q^63 - 2 * q^64 - 17 * q^65 + q^66 + 4 * q^67 - 32 * q^68 + 31 * q^69 - 58 * q^70 - 47 * q^71 + 2 * q^72 + 43 * q^73 - 18 * q^74 - 6 * q^75 - 33 * q^76 - 5 * q^77 + 5 * q^78 + 19 * q^79 - 2 * q^80 - 2 * q^81 - 3 * q^82 + 47 * q^83 - q^84 - 149 * q^85 - 55 * q^86 + 21 * q^87 + 28 * q^88 + 36 * q^89 + 2 * q^90 + 175 * q^91 - 2 * q^92 - 29 * q^93 - 21 * q^94 + 50 * q^95 - 2 * q^96 + 10 * q^97 - 13 * q^98 + q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/354\mathbb{Z}\right)^\times$.

$n$	$61$	$119$
$\chi(n)$	$e\left(\frac{21}{29}\right)$	$1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.647386	+	0.762162i	−0.457771	+	0.538930i
$2$	−0.647386	+	0.762162i	−0.457771	+	0.538930i
$3$	−0.796093	−	0.605174i	−0.459625	−	0.349397i
$3$	−0.796093	−	0.605174i	−0.459625	−	0.349397i
$4$	−0.161782	−	0.986827i	−0.0808910	−	0.493413i
$5$	−1.07211	−	2.02222i	−0.479464	−	0.904365i	−0.998761	−	0.0497712i	$-0.984151\pi$
$5$	−1.07211	−	2.02222i	−0.479464	−	0.904365i	0.519296	−	0.854594i	$-0.326194\pi$
$6$	0.976621	−	0.214970i	0.398704	−	0.0877613i
$7$	−1.17973	−	0.128303i	−0.445896	−	0.0484941i	−0.117583	−	0.993063i	$-0.537515\pi$
$7$	−1.17973	−	0.128303i	−0.445896	−	0.0484941i	−0.328313	+	0.944569i	$0.606480\pi$
$8$	0.856857	+	0.515554i	0.302945	+	0.182276i
$9$	0.267528	+	0.963550i	0.0891761	+	0.321183i
$10$	2.23533	+	0.492034i	0.706875	+	0.155595i
$11$	0.222057	+	0.0748198i	0.0669528	+	0.0225590i	0.352579	−	0.935782i	$-0.385305\pi$
$11$	0.222057	+	0.0748198i	0.0669528	+	0.0225590i	−0.285626	+	0.958341i	$0.592201\pi$
$12$	−0.468408	+	0.883512i	−0.135218	+	0.255048i
$13$	−1.65335	+	5.95483i	−0.458557	+	1.65157i	0.267215	+	0.963637i	$0.413897\pi$
$13$	−1.65335	+	5.95483i	−0.458557	+	1.65157i	−0.725772	+	0.687936i	$0.758517\pi$
$14$	0.861529	−	0.816084i	0.230253	−	0.218108i
$15$	−0.370294	+	2.25869i	−0.0956095	+	0.583192i
$16$	−0.947653	+	0.319302i	−0.236913	+	0.0798254i
$17$	−7.79523	+	0.847783i	−1.89062	+	0.205617i	−0.978778	−	0.204921i	$-0.934306\pi$
$17$	−7.79523	+	0.847783i	−1.89062	+	0.205617i	−0.911843	+	0.410539i	$0.865341\pi$
$18$	−0.907575	−	0.419889i	−0.213918	−	0.0989688i
$19$	−0.0855598	+	1.57806i	−0.0196288	+	0.362031i	0.972175	+	0.234257i	$0.0752659\pi$
$19$	−0.0855598	+	1.57806i	−0.0196288	+	0.362031i	−0.991803	+	0.127774i	$0.959217\pi$
$20$	−1.82213	+	1.38515i	−0.407442	+	0.309729i
$21$	0.861529	+	0.816084i	0.188001	+	0.178084i
$22$	−0.200782	+	0.120806i	−0.0428068	+	0.0257560i
$23$	−0.473540	+	0.219083i	−0.0987400	+	0.0456820i	−0.468637	−	0.883391i	$-0.655255\pi$
$23$	−0.473540	+	0.219083i	−0.0987400	+	0.0456820i	0.369897	+	0.929073i	$0.379393\pi$
$24$	−0.370138	−	0.928977i	−0.0755541	−	0.189627i
$25$	−0.134019	+	0.197663i	−0.0268038	+	0.0395327i
$26$	−3.46819	−	5.11520i	−0.680168	−	1.00317i
$27$	0.370138	−	0.928977i	0.0712331	−	0.178782i
$28$	0.0642459	+	1.18495i	0.0121413	+	0.223934i
$29$	−2.73192	−	3.21626i	−0.507304	−	0.597244i	0.447573	−	0.894248i	$-0.352289\pi$
$29$	−2.73192	−	3.21626i	−0.507304	−	0.597244i	−0.954876	+	0.297003i	$0.904013\pi$
$30$	−1.48177	−	1.74447i	−0.270532	−	0.318495i
$31$	0.421203	+	7.76862i	0.0756502	+	1.39529i	0.752222	+	0.658910i	$0.228982\pi$
$31$	0.421203	+	7.76862i	0.0756502	+	1.39529i	−0.676572	+	0.736377i	$0.736535\pi$
$32$	0.370138	−	0.928977i	0.0654318	−	0.164221i
$33$	−0.131499	−	0.193947i	−0.0228911	−	0.0337618i
$34$	4.40038	−	6.49007i	0.754659	−	1.11304i
$35$	1.00535	+	2.52323i	0.169935	+	0.426504i
$36$	0.907575	−	0.419889i	0.151263	−	0.0699815i
$37$	2.27242	−	1.36727i	0.373583	−	0.224777i	−0.316363	−	0.948638i	$-0.602462\pi$
$37$	2.27242	−	1.36727i	0.373583	−	0.224777i	0.689946	+	0.723861i	$0.257634\pi$
$38$	−1.14735	−	1.08682i	−0.186124	−	0.176306i
$39$	4.91993	−	3.74003i	0.787819	−	0.598885i
$40$	0.123916	−	2.28549i	0.0195928	−	0.361367i
$41$	−5.32880	−	2.46536i	−0.832218	−	0.385025i	−0.0429526	−	0.999077i	$-0.513676\pi$
$41$	−5.32880	−	2.46536i	−0.832218	−	0.385025i	−0.789266	+	0.614052i	$0.789539\pi$
$42$	−1.17973	+	0.128303i	−0.182036	+	0.0197976i
$43$	−6.70620	+	2.25958i	−1.02269	+	0.344583i	−0.780172	−	0.625565i	$-0.784869\pi$
$43$	−6.70620	+	2.25958i	−1.02269	+	0.344583i	−0.242514	+	0.970148i	$0.577972\pi$
$44$	0.0379093	−	0.231237i	0.00571504	−	0.0348602i
$45$	1.66169	−	1.57404i	0.247710	−	0.234644i
$46$	0.139587	−	0.502746i	0.0205809	−	0.0741258i
$47$	1.41966	−	2.67776i	0.207079	−	0.390592i	−0.758118	−	0.652118i	$-0.773881\pi$
$47$	1.41966	−	2.67776i	0.207079	−	0.390592i	0.965197	+	0.261526i	$0.0842256\pi$
$48$	0.947653	+	0.319302i	0.136782	+	0.0460872i
$49$	−5.46104	−	1.20207i	−0.780149	−	0.171724i
$50$	−0.0638894	−	0.230109i	−0.00903533	−	0.0325423i
$51$	6.71879	+	4.04256i	0.940818	+	0.566072i
$52$	6.14387	+	0.668186i	0.852001	+	0.0926607i
$53$	−10.0924	+	2.22151i	−1.38630	+	0.305147i	−0.844587	−	0.535418i	$-0.820154\pi$
$53$	−10.0924	+	2.22151i	−1.38630	+	0.305147i	−0.541711	+	0.840565i	$0.682223\pi$
$54$	0.468408	+	0.883512i	0.0637423	+	0.120231i
$55$	−0.0867686	−	0.529265i	−0.0116999	−	0.0713661i
$56$	−0.944713	−	0.718152i	−0.126243	−	0.0959671i
$57$	1.02311	−	1.20450i	0.135515	−	0.159540i
$58$	4.21992			0.554102
$59$	6.80324	+	3.56594i	0.885706	+	0.464246i
$59$	6.80324	+	3.56594i	0.885706	+	0.464246i
$60$	2.28885			0.295489
$61$	6.95622	−	8.18949i	0.890653	−	1.04856i	−0.107867	−	0.994165i	$-0.534402\pi$
$61$	6.95622	−	8.18949i	0.890653	−	1.04856i	0.998520	−	0.0543919i	$-0.0173220\pi$
$62$	−6.19363	−	4.70828i	−0.786592	−	0.597952i
$63$	−0.191985	−	1.17105i	−0.0241878	−	0.147539i
$64$	0.468408	+	0.883512i	0.0585511	+	0.110439i
$65$	13.8146	−	3.04082i	1.71349	−	0.377167i
$66$	0.232950	+	0.0253348i	0.0286741	+	0.00311850i
$67$	5.10505	+	3.07160i	0.623681	+	0.375256i	0.792040	−	0.610470i	$-0.209019\pi$
$67$	5.10505	+	3.07160i	0.623681	+	0.375256i	−0.168359	+	0.985726i	$0.553847\pi$
$68$	2.09774	+	7.55539i	0.254389	+	0.916225i
$69$	0.509566	+	0.112164i	0.0613445	+	0.0135029i
$70$	−2.57396	−	0.867268i	−0.307647	−	0.103658i
$71$	3.36687	−	6.35058i	0.399573	−	0.753675i	−0.599330	−	0.800502i	$-0.704566\pi$
$71$	3.36687	−	6.35058i	0.399573	−	0.753675i	0.998903	+	0.0468270i	$0.0149109\pi$
$72$	−0.267528	+	0.963550i	−0.0315285	+	0.113555i
$73$	−7.30830	+	6.92279i	−0.855371	+	0.810251i	−0.983387	−	0.181521i	$-0.941898\pi$
$73$	−7.30830	+	6.92279i	−0.855371	+	0.810251i	0.128016	+	0.991772i	$0.459139\pi$
$74$	−0.429052	+	2.61710i	−0.0498762	+	0.304232i
$75$	0.226312	−	0.0762536i	0.0261323	−	0.00880500i
$76$	1.57111	−	0.170869i	0.180219	−	0.0196000i
$77$	−0.252368	−	0.116758i	−0.0287600	−	0.0133058i
$78$	−0.334584	+	6.17103i	−0.0378841	+	0.698732i
$79$	1.72529	−	1.31153i	0.194110	−	0.147559i	−0.503605	−	0.863934i	$-0.667993\pi$
$79$	1.72529	−	1.31153i	0.194110	−	0.147559i	0.697715	+	0.716375i	$0.254200\pi$
$80$	1.66169	+	1.57404i	0.185783	+	0.175983i
$81$	−0.856857	+	0.515554i	−0.0952064	+	0.0572838i
$82$	5.32880	−	2.46536i	0.588467	−	0.272254i
$83$	0.876396	+	2.19959i	0.0961970	+	0.241436i	0.969198	−	0.246282i	$-0.0792088\pi$
$83$	0.876396	+	2.19959i	0.0961970	+	0.241436i	−0.873001	+	0.487718i	$0.837830\pi$
$84$	0.665953	−	0.982207i	0.0726614	−	0.107168i
$85$	10.0718	+	14.8548i	1.09244	+	1.61123i
$86$	2.61934	−	6.57404i	0.282450	−	0.708896i
$87$	0.228462	+	4.21373i	0.0244937	+	0.451759i
$88$	0.151698	+	0.178592i	0.0161710	+	0.0190380i
$89$	−0.151243	−	0.178057i	−0.0160317	−	0.0188740i	0.754088	−	0.656774i	$-0.228079\pi$
$89$	−0.151243	−	0.178057i	−0.0160317	−	0.0188740i	−0.770120	+	0.637900i	$0.779803\pi$
$90$	0.123916	+	2.28549i	0.0130619	+	0.240912i
$91$	2.71453	−	6.81296i	0.284560	−	0.714192i
$92$	0.292807	+	0.431858i	0.0305273	+	0.0450244i
$93$	4.36605	−	6.43945i	0.452739	−	0.667740i
$94$	1.12182	+	2.81556i	0.115707	+	0.290403i
$95$	3.28291	−	1.51884i	0.336820	−	0.155829i
$96$	−0.856857	+	0.515554i	−0.0874526	+	0.0526185i
$97$	−0.201018	−	0.190414i	−0.0204103	−	0.0193336i	0.677426	−	0.735591i	$-0.263095\pi$
$97$	−0.201018	−	0.190414i	−0.0204103	−	0.0193336i	−0.697837	+	0.716257i	$0.745854\pi$
$98$	4.45157	−	3.38400i	0.449677	−	0.341835i
$99$	−0.0126860	+	0.233980i	−0.00127499	+	0.0235159i
$100$	0.216741	+	0.100275i	0.0216741	+	0.0100275i
$101$	−11.9926	+	1.30427i	−1.19330	+	0.129780i	−0.683133	−	0.730294i	$-0.739383\pi$
$101$	−11.9926	+	1.30427i	−1.19330	+	0.129780i	−0.510170	+	0.860073i	$0.670418\pi$
$102$	−7.43074	+	2.50371i	−0.735753	+	0.247904i
$103$	2.57140	−	15.6849i	0.253368	−	1.54547i	−0.487078	−	0.873358i	$-0.661937\pi$
$103$	2.57140	−	15.6849i	0.253368	−	1.54547i	0.740446	−	0.672116i	$-0.234614\pi$
$104$	−4.48672	+	4.25005i	−0.439959	+	0.416751i
$105$	0.726645	−	2.61714i	0.0709133	−	0.255407i
$106$	4.84053	−	9.13022i	0.470154	−	0.886805i
$107$	4.65531	+	1.56856i	0.450045	+	0.151638i	0.535192	−	0.844730i	$-0.320239\pi$
$107$	4.65531	+	1.56856i	0.450045	+	0.151638i	−0.0851465	+	0.996368i	$0.527136\pi$
$108$	−0.976621	−	0.214970i	−0.0939754	−	0.0206855i
$109$	−1.43881	−	5.18211i	−0.137813	−	0.496356i	0.862134	−	0.506680i	$-0.169127\pi$
$109$	−1.43881	−	5.18211i	−0.137813	−	0.496356i	−0.999947	+	0.0103241i	$0.996714\pi$
$110$	0.459558	+	0.276507i	0.0438172	+	0.0263639i
$111$	−2.63649	−	0.286735i	−0.250244	−	0.0272157i
$112$	1.15894	−	0.255103i	0.109510	−	0.0241049i
$113$	7.58928	+	14.3149i	0.713939	+	1.34663i	0.929018	+	0.370035i	$0.120654\pi$
$113$	7.58928	+	14.3149i	0.713939	+	1.34663i	−0.215079	+	0.976597i	$0.569001\pi$
$114$	0.255676	+	1.55956i	0.0239463	+	0.146066i
$115$	0.950724	+	0.722722i	0.0886555	+	0.0673942i
$116$	−2.73192	+	3.21626i	−0.253652	+	0.298622i
$117$	−6.18009			−0.571350
$118$	−7.12215	+	2.87663i	−0.655647	+	0.264815i
$119$	9.30504			0.852992
$120$	−1.48177	+	1.74447i	−0.135266	+	0.159248i
$121$	−8.71331	−	6.62369i	−0.792119	−	0.602153i
$122$	1.73836	+	10.6035i	0.157384	+	0.959999i
$123$	2.75024	+	5.18751i	0.247981	+	0.467742i
$124$	7.59814	−	1.67248i	0.682333	−	0.150193i
$125$	−10.8337	−	1.17824i	−0.968999	−	0.105385i
$126$	1.01682	+	0.611801i	0.0905856	+	0.0545035i
$127$	−5.53004	−	19.9174i	−0.490712	−	1.76738i	−0.629436	−	0.777052i	$-0.716714\pi$
$127$	−5.53004	−	19.9174i	−0.490712	−	1.76738i	0.138725	−	0.990331i	$-0.455700\pi$
$128$	−0.976621	−	0.214970i	−0.0863219	−	0.0190009i
$129$	6.70620	+	2.25958i	0.590448	+	0.198945i
$130$	−6.62577	+	12.4975i	−0.581118	+	1.09611i
$131$	−2.25556	+	8.12381i	−0.197070	+	0.709780i	0.797279	+	0.603612i	$0.206272\pi$
$131$	−2.25556	+	8.12381i	−0.197070	+	0.709780i	−0.994348	+	0.106169i	$0.966142\pi$
$132$	−0.170118	+	0.161144i	−0.0148069	+	0.0140258i
$133$	0.303408	−	1.85070i	0.0263088	−	0.160476i
$134$	−5.64600	+	1.90236i	−0.487740	+	0.164339i
$135$	−2.27543	+	0.247468i	−0.195838	+	0.0212986i
$136$	−7.11648	−	3.29243i	−0.610233	−	0.282324i
$137$	1.12372	−	20.7258i	0.0960057	−	1.77072i	−0.413739	−	0.910396i	$-0.635777\pi$
$137$	1.12372	−	20.7258i	0.0960057	−	1.77072i	0.509744	−	0.860326i	$-0.329740\pi$
$138$	−0.415373	+	0.315758i	−0.0353589	+	0.0268791i
$139$	12.3510	+	11.6995i	1.04760	+	0.992340i	0.999979	−	0.00652530i	$-0.00207708\pi$
$139$	12.3510	+	11.6995i	1.04760	+	0.992340i	0.0476220	+	0.998865i	$0.484836\pi$
$140$	2.32735	−	1.40032i	0.196697	−	0.118348i
$141$	−2.75070	+	1.27261i	−0.231650	+	0.107173i
$142$	2.66051	+	6.67738i	0.223265	+	0.560353i
$143$	−0.812678	+	1.19861i	−0.0679596	+	0.100233i
$144$	−0.561187	−	0.827689i	−0.0467656	−	0.0689741i
$145$	−3.57507	+	8.97274i	−0.296893	+	0.745145i
$146$	−0.544994	−	10.0518i	−0.0451040	−	0.831895i
$147$	3.62004	+	4.26184i	0.298576	+	0.351511i
$148$	−1.71689	−	2.02128i	−0.141128	−	0.166148i
$149$	0.268825	+	4.95818i	0.0220230	+	0.406190i	0.988673	+	0.150088i	$0.0479556\pi$
$149$	0.268825	+	4.95818i	0.0220230	+	0.406190i	−0.966650	+	0.256102i	$0.917562\pi$
$150$	−0.0883940	+	0.221852i	−0.00721734	+	0.0181142i
$151$	−8.52834	−	12.5784i	−0.694027	−	1.02361i	−0.997493	−	0.0707705i	$-0.977454\pi$
$151$	−8.52834	−	12.5784i	−0.694027	−	1.02361i	0.303466	−	0.952842i	$-0.401856\pi$
$152$	−0.886886	+	1.30806i	−0.0719359	+	0.106098i
$153$	−2.90233	−	7.28429i	−0.234639	−	0.588900i
$154$	0.252368	−	0.116758i	0.0203364	−	0.00940862i
$155$	15.2583	−	9.18062i	1.22558	−	0.737405i
$156$	−4.48672	−	4.25005i	−0.359225	−	0.340276i
$157$	−3.15762	+	2.40036i	−0.252006	+	0.191570i	−0.723549	−	0.690273i	$-0.757490\pi$
$157$	−3.15762	+	2.40036i	−0.252006	+	0.191570i	0.471543	+	0.881843i	$0.343697\pi$
$158$	−0.117329	+	2.16401i	−0.00933423	+	0.172160i
$159$	9.37889	+	4.33914i	0.743794	+	0.344116i
$160$	−2.27543	+	0.247468i	−0.179888	+	0.0195640i
$161$	0.586759	−	0.197702i	0.0462431	−	0.0155811i
$162$	0.161782	−	0.986827i	0.0127108	−	0.0775324i
$163$	−9.52848	+	9.02585i	−0.746328	+	0.706959i	−0.963065	−	0.269271i	$-0.913217\pi$
$163$	−9.52848	+	9.02585i	−0.746328	+	0.706959i	0.216737	+	0.976230i	$0.430459\pi$
$164$	−1.57078	+	5.65745i	−0.122658	+	0.441773i
$165$	−0.251222	+	0.473854i	−0.0195576	+	0.0368895i
$166$	−2.24381	−	0.756027i	−0.174153	−	0.0586791i
$167$	−13.2022	−	2.90603i	−1.02162	−	0.224875i	−0.327588	−	0.944821i	$-0.606236\pi$
$167$	−13.2022	−	2.90603i	−1.02162	−	0.224875i	−0.694031	+	0.719945i	$0.744167\pi$
$168$	0.317472	+	1.14343i	0.0244935	+	0.0882177i
$169$	−21.5873	−	12.9886i	−1.66056	−	0.999126i
$170$	−17.8421	−	1.94044i	−1.36843	−	0.148825i
$171$	−1.54343	+	0.339734i	−0.118029	+	0.0259801i
$172$	3.31476	+	6.25230i	0.252748	+	0.476733i
$173$	0.724937	+	4.42192i	0.0551160	+	0.336192i	0.999962	+	0.00867863i	$0.00276253\pi$
$173$	0.724937	+	4.42192i	0.0551160	+	0.336192i	−0.944846	+	0.327514i	$0.893789\pi$
$174$	−3.35945	−	2.55378i	−0.254679	−	0.193602i
$175$	0.183467	−	0.215994i	0.0138688	−	0.0163276i
$176$	−0.234323			−0.0176628
$177$	−3.25799	−	6.95597i	−0.244886	−	0.522843i
$178$	0.233621			0.0175107
$179$	5.58176	−	6.57135i	0.417200	−	0.491166i	−0.512912	−	0.858441i	$-0.671433\pi$
$179$	5.58176	−	6.57135i	0.417200	−	0.491166i	0.930112	+	0.367275i	$0.119709\pi$
$180$	−1.82213	−	1.38515i	−0.135814	−	0.103243i
$181$	1.15761	+	7.06114i	0.0860448	+	0.524850i	0.994316	+	0.106468i	$0.0339543\pi$
$181$	1.15761	+	7.06114i	0.0860448	+	0.524850i	−0.908271	+	0.418382i	$0.862597\pi$
$182$	3.43523	+	6.47953i	0.254636	+	0.480295i
$183$	−10.4939	+	2.30987i	−0.775729	+	0.170751i
$184$	−0.518706	−	0.0564126i	−0.0382395	−	0.00415879i
$185$	−5.20121	−	3.12946i	−0.382400	−	0.230083i
$186$	2.08138	+	7.49645i	0.152614	+	0.549667i
$187$	−1.79442	−	0.394982i	−0.131221	−	0.0288839i
$188$	−2.87216	−	0.967745i	−0.209474	−	0.0705800i
$189$	−0.555854	+	1.04845i	−0.0404324	+	0.0762637i
$190$	−0.967713	+	3.48539i	−0.0702052	+	0.252856i
$191$	5.43547	−	5.14875i	0.393297	−	0.372551i	−0.465342	−	0.885131i	$-0.654069\pi$
$191$	5.43547	−	5.14875i	0.393297	−	0.372551i	0.858639	+	0.512580i	$0.171310\pi$
$192$	0.161782	−	0.986827i	0.0116756	−	0.0712181i
$193$	−16.1810	+	5.45200i	−1.16473	+	0.392444i	−0.834259	−	0.551372i	$-0.814104\pi$
$193$	−16.1810	+	5.45200i	−1.16473	+	0.392444i	−0.330472	+	0.943816i	$0.607208\pi$
$194$	0.275263	−	0.0299366i	0.0197627	−	0.00214932i
$195$	−12.8379	−	5.93945i	−0.919342	−	0.425333i
$196$	−0.302733	+	5.58357i	−0.0216238	+	0.398827i
$197$	1.92977	−	1.46697i	0.137490	−	0.104518i	−0.534168	−	0.845378i	$-0.679375\pi$
$197$	1.92977	−	1.46697i	0.137490	−	0.104518i	0.671659	+	0.740861i	$0.265582\pi$
$198$	−0.170118	−	0.161144i	−0.0120897	−	0.0114520i
$199$	1.94835	−	1.17228i	0.138115	−	0.0831009i	−0.444819	−	0.895620i	$-0.646732\pi$
$199$	1.94835	−	1.17228i	0.138115	−	0.0831009i	0.582934	+	0.812519i	$0.301905\pi$
$200$	−0.216741	+	0.100275i	−0.0153259	+	0.00709053i
$201$	−2.20524	−	5.53472i	−0.155545	−	0.390389i
$202$	6.76975	−	9.98463i	0.476318	−	0.702516i
$203$	2.81027	+	4.14483i	0.197242	+	0.290910i
$204$	2.90233	−	7.28429i	0.203204	−	0.510002i
$205$	0.727566	+	13.4192i	0.0508154	+	0.937235i
$206$	10.2897	+	12.1140i	0.716918	+	0.844021i
$207$	−0.337783	−	0.397669i	−0.0234775	−	0.0276399i
$208$	−0.334584	−	6.17103i	−0.0231992	−	0.427884i
$209$	−0.137069	+	0.344018i	−0.00948127	+	0.0237962i
$210$	1.52426	+	2.24812i	0.105184	+	0.155135i
$211$	−1.08542	+	1.60088i	−0.0747237	+	0.110209i	−0.863214	−	0.504837i	$-0.831552\pi$
$211$	−1.08542	+	1.60088i	−0.0747237	+	0.110209i	0.788491	+	0.615047i	$0.210863\pi$
$212$	3.82501	+	9.60005i	0.262703	+	0.659334i
$213$	−6.52355	+	3.01811i	−0.446986	+	0.206798i
$214$	−4.20927	+	2.53264i	−0.287740	+	0.173127i
$215$	11.7592	+	11.1389i	0.801970	+	0.759667i
$216$	0.796093	−	0.605174i	0.0541673	−	0.0411769i
$217$	0.499835	−	9.21892i	0.0339310	−	0.625821i
$218$	4.88107	+	2.25822i	0.330588	+	0.152946i
$219$	10.0076	−	1.08839i	0.676249	−	0.0735465i
$220$	−0.508255	+	0.171251i	−0.0342665	+	0.0115457i
$221$	7.83985	−	47.8210i	0.527365	−	3.21679i
$222$	1.92537	−	1.82380i	0.129222	−	0.122406i
$223$	−2.46733	+	8.88651i	−0.165224	+	0.595085i	0.833847	+	0.551996i	$0.186134\pi$
$223$	−2.46733	+	8.88651i	−0.165224	+	0.595085i	−0.999071	+	0.0430887i	$0.986280\pi$
$224$	−0.555854	+	1.04845i	−0.0371396	+	0.0700526i
$225$	−0.226312	−	0.0762536i	−0.0150875	−	0.00508357i
$226$	−15.8235	−	3.48301i	−1.05256	−	0.231686i
$227$	5.96305	+	21.4770i	0.395781	+	1.42548i	0.846299	+	0.532708i	$0.178826\pi$
$227$	5.96305	+	21.4770i	0.395781	+	1.42548i	−0.450518	+	0.892768i	$0.648761\pi$
$228$	−1.35416	−	0.814768i	−0.0896811	−	0.0539594i
$229$	4.98039	+	0.541650i	0.329114	+	0.0357933i	0.271184	−	0.962527i	$-0.412585\pi$
$229$	4.98039	+	0.541650i	0.329114	+	0.0357933i	0.0579292	+	0.998321i	$0.481550\pi$
$230$	−1.16632	+	0.256726i	−0.0769047	+	0.0169280i
$231$	0.130250	+	0.245677i	0.00856980	+	0.0161644i
$232$	−0.682706	−	4.16432i	−0.0448219	−	0.273401i
$233$	13.6565	+	10.3814i	0.894669	+	0.680110i	0.947933	−	0.318471i	$-0.103169\pi$
$233$	13.6565	+	10.3814i	0.894669	+	0.680110i	−0.0532638	+	0.998580i	$0.516962\pi$
$234$	4.00091	−	4.71023i	0.261548	−	0.307918i
$235$	−6.93707			−0.452525
$236$	2.41833	−	7.29052i	0.157420	−	0.474572i
$237$	−2.16719			−0.140774
$238$	−6.02396	+	7.09195i	−0.390475	+	0.459703i
$239$	−14.6745	−	11.1553i	−0.949214	−	0.721573i	0.0112623	−	0.999937i	$-0.496415\pi$
$239$	−14.6745	−	11.1553i	−0.949214	−	0.721573i	−0.960476	+	0.278363i	$0.910208\pi$
$240$	−0.370294	−	2.25869i	−0.0239024	−	0.145798i
$241$	−1.50041	−	2.83008i	−0.0966502	−	0.182302i	0.830472	−	0.557060i	$-0.188071\pi$
$241$	−1.50041	−	2.83008i	−0.0966502	−	0.182302i	−0.927123	+	0.374758i	$0.877726\pi$
$242$	10.6892	−	2.35287i	0.687128	−	0.151248i
$243$	0.994138	+	0.108119i	0.0637740	+	0.00693584i
$244$	−9.20700	−	5.53967i	−0.589418	−	0.354641i
$245$	3.42402	+	12.3322i	0.218752	+	0.787875i
$246$	−5.73419	−	1.26219i	−0.365599	−	0.0804744i
$247$	−9.25560	−	3.11858i	−0.588920	−	0.198430i
$248$	−3.64423	+	6.87375i	−0.231409	+	0.436484i
$249$	0.633441	−	2.28145i	0.0401427	−	0.144581i
$250$	7.91162	−	7.49429i	0.500375	−	0.473980i
$251$	−4.70436	+	28.6954i	−0.296937	+	1.81123i	0.243557	+	0.969887i	$0.421686\pi$
$251$	−4.70436	+	28.6954i	−0.296937	+	1.81123i	−0.540494	+	0.841348i	$0.681763\pi$
$252$	−1.12457	+	0.378911i	−0.0708411	+	0.0238691i
$253$	−0.121545	+	0.0132188i	−0.00764146	+	0.000831059i
$254$	18.7604	+	8.67946i	1.17713	+	0.544598i
$255$	0.971647	−	17.9210i	0.0608469	−	1.12225i
$256$	0.796093	−	0.605174i	0.0497558	−	0.0378234i
$257$	0.825815	+	0.782254i	0.0515129	+	0.0487956i	0.713023	−	0.701141i	$-0.247325\pi$
$257$	0.825815	+	0.782254i	0.0515129	+	0.0487956i	−0.661510	+	0.749936i	$0.730084\pi$
$258$	−6.06367	+	3.64839i	−0.377508	+	0.227139i
$259$	−2.85626	+	1.32145i	−0.177479	+	0.0821108i
$260$	−5.23571	−	13.1406i	−0.324705	−	0.814948i
$261$	2.36816	−	3.49278i	0.146586	−	0.216197i
$262$	−4.73144	−	6.97835i	−0.292309	−	0.431124i
$263$	−7.02137	+	17.6223i	−0.432956	+	1.08664i	0.537048	+	0.843552i	$0.319539\pi$
$263$	−7.02137	+	17.6223i	−0.432956	+	1.08664i	−0.970004	+	0.243087i	$0.921840\pi$
$264$	−0.0126860	−	0.233980i	−0.000780770	−	0.0144005i
$265$	15.3126	+	18.0274i	0.940645	+	1.10741i
$266$	1.21411	+	1.42937i	0.0744421	+	0.0876401i
$267$	0.0126480	+	0.233279i	0.000774045	+	0.0142764i
$268$	2.20524	−	5.53472i	0.134706	−	0.338087i
$269$	6.55637	+	9.66992i	0.399749	+	0.589585i	0.973287	−	0.229594i	$-0.0737397\pi$
$269$	6.55637	+	9.66992i	0.399749	+	0.589585i	−0.573538	+	0.819179i	$0.694429\pi$
$270$	1.28447	−	1.89445i	0.0781704	−	0.115293i
$271$	1.30044	+	3.26385i	0.0789960	+	0.198265i	0.963170	−	0.268892i	$-0.0866575\pi$
$271$	1.30044	+	3.26385i	0.0789960	+	0.198265i	−0.884174	+	0.467157i	$0.845278\pi$
$272$	7.11648	−	3.29243i	0.431500	−	0.199633i
$273$	−6.28405	+	3.78099i	−0.380328	+	0.228836i
$274$	15.0689	+	14.2740i	0.910346	+	0.862326i
$275$	−0.0445491	+	0.0338653i	−0.00268641	+	0.00204216i
$276$	0.0282477	−	0.520999i	0.00170031	−	0.0313605i
$277$	15.2008	+	7.03262i	0.913326	+	0.422549i	0.819526	−	0.573042i	$-0.194237\pi$
$277$	15.2008	+	7.03262i	0.913326	+	0.422549i	0.0937994	+	0.995591i	$0.470099\pi$
$278$	−16.9128	+	1.83938i	−1.01436	+	0.110319i
$279$	−7.37277	+	2.48418i	−0.441396	+	0.148724i
$280$	−0.439423	+	2.68036i	−0.0262605	+	0.160182i
$281$	2.49371	−	2.36217i	0.148762	−	0.140915i	−0.609700	−	0.792633i	$-0.708710\pi$
$281$	2.49371	−	2.36217i	0.148762	−	0.140915i	0.758462	+	0.651718i	$0.225951\pi$
$282$	0.810830	−	2.92034i	0.0482842	−	0.173904i
$283$	−3.03192	+	5.71880i	−0.180229	+	0.339948i	−0.957122	−	0.289685i	$-0.906450\pi$
$283$	−3.03192	+	5.71880i	−0.180229	+	0.339948i	0.776893	+	0.629632i	$0.216794\pi$
$284$	−6.81162	−	2.29510i	−0.404195	−	0.136189i
$285$	−3.53267	−	0.777598i	−0.209257	−	0.0460610i
$286$	−0.387419	−	1.39536i	−0.0229086	−	0.0825092i
$287$	5.97023	+	3.59217i	0.352411	+	0.212039i
$288$	0.994138	+	0.108119i	0.0585801	+	0.00637097i
$289$	43.4444	−	9.56283i	2.55555	−	0.562519i
$290$	−4.52423	−	8.53361i	−0.265672	−	0.501111i
$291$	0.0447952	+	0.273238i	0.00262594	+	0.0160175i
$292$	8.01394	+	6.09204i	0.468980	+	0.356510i
$293$	6.30656	−	7.42466i	0.368433	−	0.433753i	−0.546437	−	0.837500i	$-0.684016\pi$
$293$	6.30656	−	7.42466i	0.368433	−	0.433753i	0.914871	+	0.403747i	$0.132292\pi$
$294$	−5.59178			−0.326119
$295$	−0.0827154	−	17.5808i	−0.00481588	−	1.02359i
$296$	2.65204			0.154146
$297$	0.151698	−	0.178592i	0.00880240	−	0.0103630i
$298$	−3.95297	−	3.00497i	−0.228989	−	0.174073i
$299$	−0.521674	−	3.18207i	−0.0301692	−	0.184024i
$300$	−0.111862	−	0.210995i	−0.00645837	−	0.0121818i
$301$	8.20142	−	1.80527i	0.472722	−	0.104054i
$302$	15.1079	+	1.64308i	0.869361	+	0.0945487i
$303$	10.3365	+	6.21926i	0.593816	+	0.357287i
$304$	−0.422795	−	1.52277i	−0.0242490	−	0.0873369i
$305$	−24.0188	−	5.28695i	−1.37531	−	0.302730i
$306$	7.43074	+	2.50371i	0.424787	+	0.143127i
$307$	−11.1064	+	20.9489i	−0.633876	+	1.19562i	0.333614	+	0.942710i	$0.391732\pi$
$307$	−11.1064	+	20.9489i	−0.633876	+	1.19562i	−0.967490	+	0.252908i	$0.918613\pi$
$308$	−0.0743912	+	0.267933i	−0.00423883	+	0.0152669i
$309$	−11.5391	+	10.9305i	−0.656439	+	0.621812i
$310$	−2.88090	+	17.5727i	−0.163624	+	0.998063i
$311$	19.4992	−	6.57005i	1.10570	−	0.372553i	0.293514	−	0.955955i	$-0.405175\pi$
$311$	19.4992	−	6.57005i	1.10570	−	0.372553i	0.812184	+	0.583402i	$0.198279\pi$
$312$	6.14387	−	0.668186i	0.347828	−	0.0378286i
$313$	17.0687	+	7.89681i	0.964779	+	0.446354i	0.838056	−	0.545584i	$-0.183692\pi$
$313$	17.0687	+	7.89681i	0.964779	+	0.446354i	0.126723	+	0.991938i	$0.459554\pi$
$314$	0.214737	−	3.96058i	0.0121183	−	0.223509i
$315$	−2.16230	+	1.64374i	−0.121832	+	0.0926142i
$316$	−1.57337	−	1.49038i	−0.0885091	−	0.0838403i
$317$	1.68758	−	1.01538i	0.0947840	−	0.0570296i	−0.467373	−	0.884060i	$-0.654799\pi$
$317$	1.68758	−	1.01538i	0.0947840	−	0.0570296i	0.562157	+	0.827031i	$0.309972\pi$
$318$	−9.37889	+	4.33914i	−0.525942	+	0.243327i
$319$	−0.366002	−	0.918596i	−0.0204922	−	0.0514315i
$320$	1.28447	−	1.89445i	0.0718041	−	0.105903i
$321$	−2.75681	−	4.06599i	−0.153870	−	0.226941i
$322$	−0.229179	+	0.575195i	−0.0127716	+	0.0320544i
$323$	−0.670891	−	12.3739i	−0.0373294	−	0.688500i
$324$	0.647386	+	0.762162i	0.0359659	+	0.0423423i
$325$	−0.955471	−	1.12487i	−0.0530000	−	0.0623964i
$326$	−0.710557	−	13.1055i	−0.0393541	−	0.725844i
$327$	−1.99066	+	4.99617i	−0.110084	+	0.276289i
$328$	−3.29499	−	4.85975i	−0.181935	−	0.268335i
$329$	−2.01838	+	2.97689i	−0.111277	+	0.164121i
$330$	−0.198516	−	0.498238i	−0.0109280	−	0.0274271i
$331$	25.8201	−	11.9456i	1.41920	−	0.656592i	0.447821	−	0.894123i	$-0.352200\pi$
$331$	25.8201	−	11.9456i	1.41920	−	0.656592i	0.971380	+	0.237531i	$0.0763382\pi$
$332$	2.02883	−	1.22070i	0.111346	−	0.0669949i
$333$	1.92537	+	1.82380i	0.105509	+	0.0999438i
$334$	10.7618	−	8.18091i	0.588860	−	0.447640i
$335$	0.738273	−	13.6166i	0.0403362	−	0.743957i
$336$	−1.07701	−	0.498277i	−0.0587556	−	0.0271832i
$337$	−28.3522	+	3.08348i	−1.54444	+	0.167968i	−0.840311	−	0.542104i	$-0.817628\pi$
$337$	−28.3522	+	3.08348i	−1.54444	+	0.167968i	−0.704129	+	0.710072i	$0.748662\pi$
$338$	23.8748	−	8.04434i	1.29862	−	0.437555i
$339$	2.62123	−	15.9888i	0.142366	−	0.868394i
$340$	13.0297	−	12.3423i	0.706632	−	0.669357i
$341$	−0.487716	+	1.75659i	−0.0264113	+	0.0951249i
$342$	0.740261	−	1.39628i	0.0400287	−	0.0755022i
$343$	14.1603	+	4.77116i	0.764584	+	0.257618i
$344$	−6.91119	−	1.52127i	−0.372627	−	0.0820213i
$345$	−0.319492	−	1.15071i	−0.0172009	−	0.0619520i
$346$	−3.83954	−	2.31017i	−0.206415	−	0.124196i
$347$	−35.0779	−	3.81495i	−1.88308	−	0.204797i	−0.906837	−	0.421482i	$-0.861510\pi$
$347$	−35.0779	−	3.81495i	−1.88308	−	0.204797i	−0.976242	+	0.216685i	$0.930475\pi$
$348$	4.12126	−	0.907157i	0.220923	−	0.0486287i
$349$	−14.7375	−	27.7979i	−0.788880	−	1.48799i	−0.870956	−	0.491360i	$-0.836500\pi$
$349$	−14.7375	−	27.7979i	−0.788880	−	1.48799i	0.0820759	−	0.996626i	$-0.473845\pi$
$350$	0.0458485	+	0.279664i	0.00245071	+	0.0149486i
$351$	4.91993	+	3.74003i	0.262606	+	0.199628i
$352$	0.151698	−	0.178592i	0.00808552	−	0.00951901i
$353$	−3.34372			−0.177968			−0.0889842	−	0.996033i	$-0.528362\pi$
$353$	−3.34372			−0.177968			−0.0889842	+	0.996033i	$0.528362\pi$
$354$	7.41075	+	2.02008i	0.393877	+	0.107366i
$355$	−16.4520			−0.873179
$356$	−0.151243	+	0.178057i	−0.00801587	+	0.00943702i
$357$	−7.40768	−	5.63117i	−0.392056	−	0.298033i
$358$	1.39488	+	8.50841i	0.0737218	+	0.449683i
$359$	10.1935	+	19.2270i	0.537992	+	1.01476i	0.992293	+	0.123912i	$0.0395442\pi$
$359$	10.1935	+	19.2270i	0.537992	+	1.01476i	−0.454301	+	0.890848i	$0.650111\pi$
$360$	2.23533	−	0.492034i	0.117812	−	0.0259325i
$361$	16.4057	+	1.78422i	0.863457	+	0.0939066i
$362$	−6.13116	−	3.68899i	−0.322246	−	0.193889i
$363$	2.92812	+	10.5461i	0.153687	+	0.553529i
$364$	−7.16237	−	1.57656i	−0.375410	−	0.0826341i
$365$	21.8347	+	7.35698i	1.14288	+	0.385082i
$366$	5.03309	−	9.49341i	0.263084	−	0.496228i
$367$	2.42850	−	8.74665i	0.126766	−	0.456571i	−0.872733	−	0.488197i	$-0.837655\pi$
$367$	2.42850	−	8.74665i	0.126766	−	0.456571i	0.999500	+	0.0316258i	$0.0100685\pi$
$368$	0.378798	−	0.358817i	0.0197462	−	0.0187046i
$369$	0.949897	−	5.79412i	0.0494497	−	0.301630i
$370$	5.75235	−	1.93819i	0.299050	−	0.100762i
$371$	12.1913	−	1.32589i	0.632943	−	0.0688367i
$372$	−7.06097	−	3.26675i	−0.366094	−	0.169373i
$373$	−0.942316	+	17.3800i	−0.0487913	+	0.899902i	0.867015	+	0.498282i	$0.166036\pi$
$373$	−0.942316	+	17.3800i	−0.0487913	+	0.899902i	−0.915806	+	0.401620i	$0.868447\pi$
$374$	1.46272	−	1.11193i	0.0756356	−	0.0574967i
$375$	7.91162	+	7.49429i	0.408554	+	0.387003i
$376$	2.59698	−	1.56255i	0.133929	−	0.0805824i
$377$	23.6691	−	10.9505i	1.21902	−	0.563979i
$378$	−0.439238	−	1.10240i	−0.0225920	−	0.0567016i
$379$	21.3256	−	31.4530i	1.09542	−	1.61563i	0.367423	−	0.930054i	$-0.380240\pi$
$379$	21.3256	−	31.4530i	1.09542	−	1.61563i	0.728001	−	0.685576i	$-0.240450\pi$
$380$	−2.02994	−	2.99394i	−0.104134	−	0.153586i
$381$	−7.65107	+	19.2027i	−0.391976	+	0.983786i
$382$	0.405334	+	7.47594i	0.0207387	+	0.382503i
$383$	−2.52864	−	2.97695i	−0.129208	−	0.152115i	0.693754	−	0.720212i	$-0.255956\pi$
$383$	−2.52864	−	2.97695i	−0.129208	−	0.152115i	−0.822961	+	0.568097i	$0.807680\pi$
$384$	0.647386	+	0.762162i	0.0330368	+	0.0388939i
$385$	0.0344570	+	0.635522i	0.00175609	+	0.0323892i
$386$	6.32003	−	15.8621i	0.321681	−	0.807358i
$387$	−3.97132	−	5.85726i	−0.201874	−	0.297741i
$388$	−0.155385	+	0.229175i	−0.00788847	+	0.0116346i
$389$	7.32953	+	18.3957i	0.371622	+	0.932700i	0.989251	+	0.146231i	$0.0467142\pi$
$389$	7.32953	+	18.3957i	0.371622	+	0.932700i	−0.617629	+	0.786470i	$0.711907\pi$
$390$	12.8379	−	5.93945i	0.650073	−	0.300756i
$391$	3.50562	−	2.10926i	0.177287	−	0.106670i
$392$	−4.05960	−	3.84546i	−0.205041	−	0.194225i
$393$	6.71196	−	5.10230i	0.338573	−	0.257377i
$394$	−0.131236	+	2.42050i	−0.00661155	+	0.121943i
$395$	−4.50191	−	2.08280i	−0.226516	−	0.104797i
$396$	0.232950	−	0.0253348i	0.0117062	−	0.00127312i
$397$	−3.37640	+	1.13764i	−0.169457	+	0.0570967i	−0.402751	−	0.915310i	$-0.631946\pi$
$397$	−3.37640	+	1.13764i	−0.169457	+	0.0570967i	0.233294	+	0.972406i	$0.425049\pi$
$398$	−0.367865	+	2.24388i	−0.0184394	+	0.112475i
$399$	−1.36154	+	1.28972i	−0.0681622	+	0.0645667i
$400$	0.0638894	−	0.230109i	0.00319447	−	0.0115054i
$401$	−11.5150	+	21.7197i	−0.575034	+	1.08463i	0.409970	+	0.912099i	$0.365539\pi$
$401$	−11.5150	+	21.7197i	−0.575034	+	1.08463i	−0.985004	+	0.172530i	$0.944806\pi$
$402$	5.64600	+	1.90236i	0.281597	+	0.0948810i
$403$	−46.9572	−	10.3361i	−2.33911	−	0.514876i
$404$	3.22727	+	11.6236i	0.160562	+	0.578294i
$405$	1.96121	+	1.18002i	0.0974535	+	0.0586358i
$406$	−4.97836	−	0.541429i	−0.247072	−	0.0268707i
$407$	0.606905	−	0.133590i	0.0300832	−	0.00662181i
$408$	3.67288	+	6.92779i	0.181835	+	0.342977i
$409$	0.435248	+	2.65490i	0.0215216	+	0.131276i	0.995402	−	0.0957857i	$-0.0305363\pi$
$409$	0.435248	+	2.65490i	0.0215216	+	0.131276i	−0.973880	+	0.227062i	$0.927088\pi$
$410$	−10.6986	−	8.13286i	−0.528366	−	0.401653i
$411$	−13.4373	+	15.8196i	−0.662812	+	0.780323i
$412$	−15.8942			−0.783053
$413$	−7.56846	−	5.07973i	−0.372420	−	0.249957i
$414$	0.521764			0.0256433
$415$	3.50846	−	4.13048i	0.172224	−	0.202757i
$416$	4.91993	+	3.74003i	0.241219	+	0.183370i
$417$	−2.75232	−	16.7884i	−0.134782	−	0.822133i
$418$	−0.173461	−	0.327181i	−0.00848423	−	0.0160030i
$419$	−19.9865	+	4.39936i	−0.976404	+	0.214923i	−0.674386	−	0.738379i	$-0.735591\pi$
$419$	−19.9865	+	4.39936i	−0.976404	+	0.214923i	−0.302019	+	0.953302i	$0.597660\pi$
$420$	−2.70022	−	0.293667i	−0.131757	−	0.0143295i
$421$	7.44734	+	4.48092i	0.362961	+	0.218387i	0.685338	−	0.728225i	$-0.259654\pi$
$421$	7.44734	+	4.48092i	0.362961	+	0.218387i	−0.322377	+	0.946611i	$0.604482\pi$
$422$	−0.517442	−	1.86366i	−0.0251887	−	0.0907214i
$423$	2.95996	+	0.651536i	0.143918	+	0.0316788i
$424$	−9.79305	−	3.29966i	−0.475593	−	0.160246i
$425$	0.877135	−	1.65445i	0.0425473	−	0.0802527i
$426$	1.92296	−	6.92588i	0.0931678	−	0.335560i
$427$	−9.25720	+	8.76889i	−0.447987	+	0.424356i
$428$	0.794747	−	4.84774i	0.0384156	−	0.234325i
$429$	1.37234	−	0.462394i	0.0662570	−	0.0223246i
$430$	−16.1024	+	1.75124i	−0.776526	+	0.0844523i
$431$	7.03695	+	3.25564i	0.338958	+	0.156819i	0.581982	−	0.813202i	$-0.302277\pi$
$431$	7.03695	+	3.25564i	0.338958	+	0.156819i	−0.243024	+	0.970020i	$0.578139\pi$
$432$	−0.0541389	+	0.998533i	−0.00260476	+	0.0480420i
$433$	−5.53422	+	4.20701i	−0.265958	+	0.202176i	−0.729651	−	0.683820i	$-0.760317\pi$
$433$	−5.53422	+	4.20701i	−0.265958	+	0.202176i	0.463693	+	0.885996i	$0.346524\pi$
$434$	6.70273	+	6.34916i	0.321741	+	0.304769i
$435$	8.27616	−	4.97960i	0.396811	−	0.238753i
$436$	−4.88107	+	2.25822i	−0.233761	+	0.108149i
$437$	−0.305210	−	0.766018i	−0.0146002	−	0.0366436i
$438$	−5.64924	+	8.33200i	−0.269931	+	0.398119i
$439$	1.33409	+	1.96764i	0.0636726	+	0.0939101i	0.858192	−	0.513328i	$-0.171588\pi$
$439$	1.33409	+	1.96764i	0.0636726	+	0.0939101i	−0.794520	+	0.607238i	$0.792277\pi$
$440$	0.198516	−	0.498238i	0.00946389	−	0.0237526i
$441$	−0.302733	−	5.58357i	−0.0144158	−	0.265884i
$442$	31.3719	+	36.9339i	1.49221	+	1.75677i
$443$	−16.1695	−	19.0362i	−0.768236	−	0.904437i	0.229388	−	0.973335i	$-0.426328\pi$
$443$	−16.1695	−	19.0362i	−0.768236	−	0.904437i	−0.997624	+	0.0688981i	$0.978052\pi$
$444$	0.143578	+	2.64815i	0.00681392	+	0.125675i
$445$	−0.197921	+	0.496745i	−0.00938237	+	0.0235480i
$446$	−5.17565	−	7.63351i	−0.245074	−	0.361457i
$447$	2.78655	−	4.10986i	0.131799	−	0.194389i
$448$	−0.439238	−	1.10240i	−0.0207520	−	0.0520837i
$449$	−14.5589	+	6.73567i	−0.687078	+	0.317876i	−0.732185	−	0.681106i	$-0.761499\pi$
$449$	−14.5589	+	6.73567i	−0.687078	+	0.317876i	0.0451069	+	0.998982i	$0.485637\pi$
$450$	0.204629	−	0.123121i	0.00964631	−	0.00580399i
$451$	−0.998840	−	0.946152i	−0.0470336	−	0.0445526i
$452$	12.8985	−	9.80519i	0.606695	−	0.461197i
$453$	−0.822747	+	15.1747i	−0.0386560	+	0.712969i
$454$	−20.2293	−	9.35908i	−0.949409	−	0.439243i
$455$	−16.6876	+	1.81489i	−0.782327	+	0.0850832i
$456$	1.49765	−	0.504616i	0.0701338	−	0.0236308i
$457$	5.14721	−	31.3966i	0.240776	−	1.46867i	−0.538837	−	0.842410i	$-0.681136\pi$
$457$	5.14721	−	31.3966i	0.240776	−	1.46867i	0.779613	−	0.626261i	$-0.215416\pi$
$458$	−3.63706	+	3.44521i	−0.169949	+	0.160984i
$459$	−2.09774	+	7.55539i	−0.0979142	+	0.352655i
$460$	0.559391	−	1.05512i	0.0260817	−	0.0491954i
$461$	−35.5748	−	11.9865i	−1.65688	−	0.558269i	−0.673402	−	0.739276i	$-0.735168\pi$
$461$	−35.5748	−	11.9865i	−1.65688	−	0.558269i	−0.983482	+	0.181007i	$0.942064\pi$
$462$	−0.271567	−	0.0597765i	−0.0126345	−	0.00278105i
$463$	7.91272	+	28.4990i	0.367735	+	1.32446i	0.883781	+	0.467901i	$0.154990\pi$
$463$	7.91272	+	28.4990i	0.367735	+	1.32446i	−0.516046	+	0.856561i	$0.672597\pi$
$464$	3.61586	+	2.17559i	0.167862	+	0.100999i
$465$	−17.7029	−	1.92531i	−0.820953	−	0.0892840i
$466$	−16.7534	+	3.68770i	−0.776085	+	0.170829i
$467$	16.8499	+	31.7822i	0.779718	+	1.47070i	0.879605	+	0.475706i	$0.157807\pi$
$467$	16.8499	+	31.7822i	0.779718	+	1.47070i	−0.0998864	+	0.994999i	$0.531848\pi$
$468$	0.999828	+	6.09868i	0.0462171	+	0.281912i
$469$	−5.62848	−	4.27866i	−0.259899	−	0.197570i
$470$	4.49097	−	5.28717i	0.207153	−	0.243879i
$471$	3.96640			0.182762
$472$	3.99097	+	6.56294i	0.183699	+	0.302084i
$473$	−1.65822			−0.0762452
$474$	1.40301	−	1.65175i	0.0644424	−	0.0758675i
$475$	−0.300458	−	0.228402i	−0.0137859	−	0.0104798i
$476$	−1.50539	−	9.18246i	−0.0689994	−	0.420878i
$477$	−4.84053	−	9.13022i	−0.221633	−	0.418044i
$478$	18.0022	−	3.96258i	0.823400	−	0.181244i
$479$	−28.3355	−	3.08167i	−1.29468	−	0.140805i	−0.565285	−	0.824895i	$-0.691234\pi$
$479$	−28.3355	−	3.08167i	−1.29468	−	0.140805i	−0.729397	+	0.684090i	$0.760199\pi$
$480$	1.96121	+	1.18002i	0.0895167	+	0.0538604i
$481$	4.38474	+	15.7924i	0.199927	+	0.720072i
$482$	3.12833	+	0.688597i	0.142491	+	0.0313647i
$483$	−0.586759	−	0.197702i	−0.0266985	−	0.00899576i
$484$	−5.12677	+	9.67012i	−0.233035	+	0.439551i
$485$	−0.169546	+	0.610649i	−0.00769868	+	0.0277281i
$486$	−0.725995	+	0.687699i	−0.0329318	+	0.0311947i
$487$	3.15862	−	19.2668i	0.143131	−	0.873060i	−0.813459	−	0.581622i	$-0.802418\pi$
$487$	3.15862	−	19.2668i	0.143131	−	0.873060i	0.956590	−	0.291438i	$-0.0941336\pi$
$488$	10.1826	−	3.43092i	0.460945	−	0.155310i
$489$	13.0478	−	1.41903i	0.590040	−	0.0641708i
$490$	−11.6158	−	5.37404i	−0.524748	−	0.242774i
$491$	−0.152159	+	2.80641i	−0.00686684	+	0.126651i	0.993090	+	0.117356i	$0.0374418\pi$
$491$	−0.152159	+	2.80641i	−0.00686684	+	0.126651i	−0.999957	+	0.00929582i	$0.997041\pi$
$492$	4.67423	−	3.55326i	0.210731	−	0.160193i
$493$	24.0226	+	22.7554i	1.08192	+	1.02485i
$494$	8.36881	−	5.03535i	0.376531	−	0.226551i
$495$	0.486760	−	0.225199i	0.0218782	−	0.0101220i
$496$	−2.87969	−	7.22747i	−0.129302	−	0.324523i
$497$	−4.78679	+	7.05999i	−0.214717	+	0.316684i
$498$	1.32875	+	1.95976i	0.0595428	+	0.0878191i
$499$	−6.85707	+	17.2100i	−0.306965	+	0.770423i	0.691863	+	0.722028i	$0.256790\pi$
$499$	−6.85707	+	17.2100i	−0.306965	+	0.770423i	−0.998828	+	0.0483952i	$0.984589\pi$
$500$	0.589985	+	10.8816i	0.0263849	+	0.486642i
$501$	8.75155	+	10.3031i	0.390990	+	0.460309i
$502$	−18.8250	−	22.1625i	−0.840199	−	0.989159i
$503$	0.208248	+	3.84091i	0.00928533	+	0.171258i	0.999498	+	0.0316894i	$0.0100887\pi$
$503$	0.208248	+	3.84091i	0.00928533	+	0.171258i	−0.990212	+	0.139568i	$0.955428\pi$
$504$	0.439238	−	1.10240i	0.0195652	−	0.0491050i
$505$	15.4949	+	22.8533i	0.689514	+	1.01696i
$506$	0.0686116	−	0.101195i	0.00305016	−	0.00449865i
$507$	9.32510	+	23.4042i	0.414142	+	1.03942i
$508$	−18.7604	+	8.67946i	−0.832356	+	0.385089i
$509$	−20.5858	+	12.3861i	−0.912451	+	0.549004i	−0.892625	−	0.450800i	$-0.851139\pi$
$509$	−20.5858	+	12.3861i	−0.912451	+	0.549004i	−0.0198260	+	0.999803i	$0.506311\pi$
$510$	13.0297	+	12.3423i	0.576963	+	0.546528i
$511$	9.51003	−	7.22934i	0.420699	−	0.319807i
$512$	−0.0541389	+	0.998533i	−0.00239262	+	0.0441294i
$513$	1.43431	+	0.663582i	0.0633263	+	0.0292979i
$514$	−1.13083	+	0.122985i	−0.0498786	+	0.00542462i
$515$	−34.4751	+	11.6160i	−1.51915	+	0.511863i
$516$	1.14487	−	6.98342i	0.0504002	−	0.307428i
$517$	0.515596	−	0.488399i	0.0226759	−	0.0214797i
$518$	0.841948	−	3.03242i	0.0369931	−	0.133237i
$519$	2.09892	−	3.95897i	0.0921322	−	0.173780i
$520$	13.4048	+	4.51661i	0.587840	+	0.198066i
$521$	22.0784	+	4.85983i	0.967274	+	0.212913i	0.670397	−	0.742003i	$-0.266124\pi$
$521$	22.0784	+	4.85983i	0.967274	+	0.212913i	0.296877	+	0.954916i	$0.404055\pi$
$522$	1.12895	+	4.06610i	0.0494127	+	0.177968i
$523$	−14.3512	−	8.63485i	−0.627536	−	0.377576i	0.165977	−	0.986130i	$-0.446922\pi$
$523$	−14.3512	−	8.63485i	−0.627536	−	0.377576i	−0.793513	+	0.608554i	$0.791750\pi$
$524$	8.38170	+	0.911565i	0.366156	+	0.0398219i
$525$	−0.276771	+	0.0609220i	−0.0120793	+	0.00265885i
$526$	−8.88552	−	16.7599i	−0.387427	−	0.730765i
$527$	−9.86948	−	60.2011i	−0.429921	−	2.62240i
$528$	0.186543	+	0.141807i	0.00811825	+	0.00617134i
$529$	−14.7136	+	17.3222i	−0.639724	+	0.753141i
$530$	−23.6529			−1.02742
$531$	−1.61591	+	7.50925i	−0.0701244	+	0.325874i
$532$	−1.87541			−0.0813093
$533$	23.4912	−	27.6560i	1.01752	−	1.19791i
$534$	−0.185984	−	0.141382i	−0.00804833	−	0.00611818i
$535$	−1.81905	−	11.0957i	−0.0786445	−	0.479711i
$536$	2.79072	+	5.26385i	0.120541	+	0.227364i
$537$	−8.42041	+	1.85347i	−0.363367	+	0.0799832i
$538$	−11.6145	−	1.26316i	−0.500739	−	0.0544586i
$539$	−1.12273	−	0.675522i	−0.0483592	−	0.0290968i
$540$	0.612331	+	2.20542i	0.0263505	+	0.0949060i
$541$	30.7092	+	6.75960i	1.32029	+	0.290618i	0.818568	−	0.574410i	$-0.194768\pi$
$541$	30.7092	+	6.75960i	1.32029	+	0.290618i	0.501724	+	0.865028i	$0.332699\pi$
$542$	−3.32947	−	1.12183i	−0.143013	−	0.0481867i
$543$	3.35165	−	6.32188i	0.143833	−	0.271298i
$544$	−2.09774	+	7.55539i	−0.0899400	+	0.323935i
$545$	−8.93681	+	8.46540i	−0.382811	+	0.362618i
$546$	1.18648	−	7.23722i	0.0507768	−	0.309725i
$547$	37.5973	−	12.6680i	1.60754	−	0.541645i	0.634631	−	0.772815i	$-0.281152\pi$
$547$	37.5973	−	12.6680i	1.60754	−	0.541645i	0.972913	+	0.231170i	$0.0742555\pi$
$548$	−20.6345	+	2.24414i	−0.881464	+	0.0958649i
$549$	9.75197	+	4.51174i	0.416204	+	0.192556i
$550$	0.00302959	−	0.0558776i	0.000129182	−	0.00238263i
$551$	5.30918	−	4.03594i	0.226179	−	0.171937i
$552$	0.378798	+	0.358817i	0.0161227	+	0.0152723i
$553$	−2.20365	+	1.32589i	−0.0937086	+	0.0563826i
$554$	−15.2008	+	7.03262i	−0.645819	+	0.298788i
$555$	2.24678	+	5.63898i	0.0953703	+	0.239361i
$556$	9.54722	−	14.0811i	0.404892	−	0.597171i
$557$	1.48253	+	2.18657i	0.0628170	+	0.0926481i	0.857800	−	0.513983i	$-0.171831\pi$
$557$	1.48253	+	2.18657i	0.0628170	+	0.0926481i	−0.794983	+	0.606632i	$0.792520\pi$
$558$	2.87969	−	7.22747i	0.121907	−	0.305963i
$559$	−2.36773	−	43.6702i	−0.100144	−	1.84705i
$560$	−1.75839	−	2.07014i	−0.0743057	−	0.0874794i
$561$	1.18949	+	1.40038i	0.0502204	+	0.0591240i
$562$	0.185961	+	3.42984i	0.00784428	+	0.144679i
$563$	−6.84806	+	17.1873i	−0.288611	+	0.724360i	0.711161	+	0.703029i	$0.248170\pi$
$563$	−6.84806	+	17.1873i	−0.288611	+	0.724360i	−0.999772	+	0.0213308i	$0.993210\pi$
$564$	1.70086	+	2.50857i	0.0716190	+	0.105630i
$565$	20.8113	−	30.6944i	0.875539	−	1.29132i
$566$	−2.39583	−	6.01309i	−0.100704	−	0.252749i
$567$	1.07701	−	0.498277i	0.0452301	−	0.0209257i
$568$	6.15899	−	3.70574i	0.258425	−	0.155489i
$569$	7.20771	+	6.82751i	0.302163	+	0.286224i	0.823725	−	0.566989i	$-0.191892\pi$
$569$	7.20771	+	6.82751i	0.302163	+	0.286224i	−0.521562	+	0.853213i	$0.674651\pi$
$570$	2.87965	−	2.18906i	0.120615	−	0.0916895i
$571$	−1.18275	+	21.8145i	−0.0494964	+	0.912907i	0.863350	+	0.504605i	$0.168362\pi$
$571$	−1.18275	+	21.8145i	−0.0494964	+	0.912907i	−0.912847	+	0.408302i	$0.866121\pi$
$572$	1.31430	+	0.608059i	0.0549535	+	0.0254242i
$573$	−7.44304	+	0.809479i	−0.310937	+	0.0338165i
$574$	−6.60286	+	2.22476i	−0.275598	+	0.0928597i
$575$	0.0201587	−	0.122963i	0.000840678	−	0.00512791i
$576$	−0.725995	+	0.687699i	−0.0302498	+	0.0286541i
$577$	−5.01345	+	18.0568i	−0.208713	+	0.751715i	0.782864	+	0.622193i	$0.213758\pi$
$577$	−5.01345	+	18.0568i	−0.208713	+	0.751715i	−0.991577	+	0.129522i	$0.958656\pi$
$578$	−20.8369	+	39.3025i	−0.866699	+	1.63477i
$579$	16.1810	+	5.45200i	0.672458	+	0.226577i
$580$	9.43292	+	2.07634i	0.391681	+	0.0862154i
$581$	−0.751696	−	2.70736i	−0.0311856	−	0.112320i
$582$	−0.237252	−	0.142750i	−0.00983440	−	0.00591716i
$583$	−2.40730	−	0.261810i	−0.0997004	−	0.0108431i
$584$	−9.83124	+	2.16402i	−0.406819	+	0.0895477i
$585$	6.62577	+	12.4975i	0.273942	+	0.516709i
$586$	1.57601	+	9.61325i	0.0651045	+	0.397120i
$587$	−11.8065	−	8.97510i	−0.487308	−	0.370442i	0.332479	−	0.943111i	$-0.392115\pi$
$587$	−11.8065	−	8.97510i	−0.487308	−	0.370442i	−0.819787	+	0.572669i	$0.805908\pi$
$588$	3.62004	−	4.26184i	0.149288	−	0.175755i
$589$	−12.2954			−0.506622
$590$	13.4529	+	11.3185i	0.553849	+	0.465975i
$591$	−2.42405			−0.0997122
$592$	−1.71689	+	2.02128i	−0.0705638	+	0.0830741i
$593$	−20.8843	−	15.8759i	−0.857617	−	0.651943i	0.0810724	−	0.996708i	$-0.474165\pi$
$593$	−20.8843	−	15.8759i	−0.857617	−	0.651943i	−0.938689	+	0.344765i	$0.887959\pi$
$594$	0.0379093	+	0.231237i	0.00155544	+	0.00948775i
$595$	−9.97607	−	18.8169i	−0.408979	−	0.771416i
$596$	4.84937	−	1.06743i	0.198638	−	0.0437235i
$597$	−2.26050	−	0.245844i	−0.0925162	−	0.0100617i
$598$	2.76298	+	1.66243i	0.112987	+	0.0679818i
$599$	2.04649	+	7.37077i	0.0836171	+	0.301162i	0.993520	−	0.113660i	$-0.0362576\pi$
$599$	2.04649	+	7.37077i	0.0836171	+	0.301162i	−0.909903	+	0.414822i	$0.863844\pi$
$600$	0.233230	+	0.0513379i	0.00952159	+	0.00209586i
$601$	−13.4347	−	4.52666i	−0.548011	−	0.184647i	0.0316574	−	0.999499i	$-0.489921\pi$
$601$	−13.4347	−	4.52666i	−0.548011	−	0.184647i	−0.579669	+	0.814852i	$0.696818\pi$
$602$	−3.93358	+	7.41952i	−0.160321	+	0.302397i
$603$	−1.59390	+	5.74071i	−0.0649086	+	0.233780i
$604$	−11.0329	+	10.4509i	−0.448924	+	0.425243i
$605$	−4.05290	+	24.7216i	−0.164774	+	1.00508i
$606$	−11.4318	+	3.85182i	−0.464385	+	0.156469i
$607$	46.6929	−	5.07816i	1.89521	−	0.206116i	0.914911	−	0.403654i	$-0.132260\pi$
$607$	46.6929	−	5.07816i	1.89521	−	0.206116i	0.980295	+	0.197538i	$0.0632947\pi$
$608$	1.43431	+	0.663582i	0.0581689	+	0.0269118i
$609$	0.271112	−	5.00037i	0.0109860	−	0.202625i
$610$	19.5790	−	14.8836i	0.792730	−	0.602617i
$611$	13.5984	+	12.8811i	0.550134	+	0.521114i
$612$	−6.71879	+	4.04256i	−0.271591	+	0.163411i
$613$	−21.8449	+	10.1065i	−0.882309	+	0.408199i	−0.808101	−	0.589043i	$-0.799505\pi$
$613$	−21.8449	+	10.1065i	−0.882309	+	0.408199i	−0.0742072	+	0.997243i	$0.523643\pi$
$614$	−8.77633	−	22.0269i	−0.354184	−	0.888934i
$615$	7.54172	−	11.1232i	0.304112	−	0.448531i
$616$	−0.156048	−	0.230154i	−0.00628737	−	0.00927318i
$617$	−6.90699	+	17.3352i	−0.278065	+	0.697890i	0.721918	+	0.691979i	$0.243261\pi$
$617$	−6.90699	+	17.3352i	−0.278065	+	0.697890i	−0.999983	+	0.00591114i	$0.998118\pi$
$618$	−0.860497	−	15.8709i	−0.0346142	−	0.638422i
$619$	−12.8997	−	15.1867i	−0.518483	−	0.610406i	0.439144	−	0.898417i	$-0.355282\pi$
$619$	−12.8997	−	15.1867i	−0.518483	−	0.610406i	−0.957627	+	0.288011i	$0.907006\pi$
$620$	−11.5282	−	13.5720i	−0.462984	−	0.545067i
$621$	0.0282477	+	0.520999i	0.00113354	+	0.0209070i
$622$	−7.61608	+	19.1149i	−0.305377	+	0.766438i
$623$	0.155581	+	0.229465i	0.00623321	+	0.00919330i
$624$	−3.46819	+	5.11520i	−0.138839	+	0.204772i
$625$	9.67431	+	24.2807i	0.386973	+	0.971228i
$626$	−17.0687	+	7.89681i	−0.682202	+	0.315620i
$627$	0.317310	−	0.190919i	0.0126722	−	0.00762458i
$628$	2.87959	+	2.72769i	0.114908	+	0.108847i
$629$	−16.5549	+	12.5847i	−0.660086	+	0.501784i
$630$	0.147049	−	2.71216i	0.00585857	−	0.108055i
$631$	−40.2279	−	18.6114i	−1.60145	−	0.740909i	−0.603062	−	0.797695i	$-0.706053\pi$
$631$	−40.2279	−	18.6114i	−1.60145	−	0.740909i	−0.998386	+	0.0567858i	$0.981915\pi$
$632$	2.15449	−	0.234315i	0.0857009	−	0.00932054i
$633$	1.83291	−	0.617580i	0.0728517	−	0.0245466i
$634$	−0.318630	+	1.94356i	−0.0126544	+	0.0771885i
$635$	−34.3486	+	32.5367i	−1.36308	+	1.29118i
$636$	2.76464	−	9.95733i	0.109625	−	0.394834i
$637$	16.1871	−	30.5321i	0.641357	−	1.20973i
$638$	0.937063	+	0.315733i	0.0370987	+	0.0125000i
$639$	7.01983	+	1.54518i	0.277700	+	0.0611265i
$640$	0.612331	+	2.20542i	0.0242045	+	0.0871768i
$641$	−8.35126	−	5.02478i	−0.329855	−	0.198467i	0.340986	−	0.940068i	$-0.389239\pi$
$641$	−8.35126	−	5.02478i	−0.329855	−	0.198467i	−0.670841	+	0.741601i	$0.734067\pi$
$642$	4.88366	+	0.531130i	0.192743	+	0.0209620i
$643$	8.94376	−	1.96867i	0.352707	−	0.0776368i	−0.0350828	−	0.999384i	$-0.511170\pi$
$643$	8.94376	−	1.96867i	0.352707	−	0.0776368i	0.387790	+	0.921748i	$0.373238\pi$
$644$	−0.290025	−	0.547045i	−0.0114286	−	0.0215566i
$645$	−2.62044	−	15.9840i	−0.103180	−	0.629368i
$646$	9.86521	+	7.49934i	0.388142	+	0.295058i
$647$	21.5783	−	25.4039i	0.848331	−	0.998732i	−0.151616	−	0.988439i	$-0.548448\pi$
$647$	21.5783	−	25.4039i	0.848331	−	0.998732i	0.999947	−	0.0102926i	$-0.00327631\pi$
$648$	−1.00000			−0.0392837
$649$	1.24391	+	1.30086i	0.0488276	+	0.0510633i
$650$	1.47589			0.0578892
$651$	−5.97697	+	7.03663i	−0.234256	+	0.275787i
$652$	10.4485	+	7.94273i	0.409194	+	0.311061i
$653$	−4.98521	−	30.4085i	−0.195086	−	1.18997i	−0.884828	−	0.465919i	$-0.845724\pi$
$653$	−4.98521	−	30.4085i	−0.195086	−	1.18997i	0.689741	−	0.724056i	$-0.257724\pi$
$654$	−2.51917	−	4.75165i	−0.0985072	−	0.185804i
$655$	18.8464	−	4.14840i	0.736389	−	0.162091i
$656$	5.83705	+	0.634817i	0.227898	+	0.0247854i
$657$	−8.62563	−	5.18987i	−0.336518	−	0.202476i
$658$	−0.962201	−	3.46553i	−0.0375105	−	0.135101i
$659$	−1.11304	−	0.244999i	−0.0433580	−	0.00954382i	0.193238	−	0.981152i	$-0.438101\pi$
$659$	−1.11304	−	0.244999i	−0.0433580	−	0.00954382i	−0.236596	+	0.971608i	$0.576032\pi$
$660$	0.508255	+	0.171251i	0.0197838	+	0.00666594i
$661$	12.2123	−	23.0348i	0.475002	−	0.895949i	−0.524019	−	0.851707i	$-0.675568\pi$
$661$	12.2123	−	23.0348i	0.475002	−	0.895949i	0.999021	−	0.0442423i	$-0.0140874\pi$
$662$	−7.61106	+	27.4125i	−0.295812	+	1.06542i
$663$	−35.1813	+	33.3255i	−1.36633	+	1.29425i
$664$	−0.383060	+	2.33656i	−0.0148656	+	0.0906762i
$665$	−4.06782	+	1.37061i	−0.157743	+	0.0531499i
$666$	−2.63649	+	0.286735i	−0.102162	+	0.0111108i
$667$	1.99830	+	0.924512i	0.0773745	+	0.0357973i
$668$	−0.731865	+	13.4985i	−0.0283167	+	0.522271i
$669$	7.34211	−	5.58132i	0.283862	−	0.215786i
$670$	9.90014	+	9.37792i	0.382476	+	0.362300i
$671$	2.15742	−	1.29807i	0.0832861	−	0.0501116i
$672$	1.07701	−	0.498277i	0.0415465	−	0.0192214i
$673$	5.43377	+	13.6377i	0.209457	+	0.525696i	0.995744	−	0.0921649i	$-0.0293787\pi$
$673$	5.43377	+	13.6377i	0.209457	+	0.525696i	−0.786287	+	0.617861i	$0.787999\pi$
$674$	16.0047	−	23.6051i	0.616477	−	0.909236i
$675$	0.134019	+	0.197663i	0.00515840	+	0.00760807i
$676$	−9.32510	+	23.4042i	−0.358658	+	0.900163i
$677$	−1.76594	−	32.5708i	−0.0678705	−	1.25180i	−0.811958	−	0.583715i	$-0.801598\pi$
$677$	−1.76594	−	32.5708i	−0.0678705	−	1.25180i	0.744088	−	0.668082i	$-0.232884\pi$
$678$	10.4891	+	12.3488i	0.402832	+	0.474251i
$679$	0.212716	+	0.250429i	0.00816329	+	0.00961057i
$680$	0.971647	+	17.9210i	0.0372610	+	0.687238i
$681$	8.25016	−	20.7063i	0.316147	−	0.793469i
$682$	−1.02307	−	1.50891i	−0.0391753	−	0.0577793i
$683$	20.2229	−	29.8266i	0.773809	−	1.14128i	−0.212627	−	0.977134i	$-0.568202\pi$
$683$	20.2229	−	29.8266i	0.773809	−	1.14128i	0.986436	−	0.164149i	$-0.0524879\pi$
$684$	0.584957	+	1.46813i	0.0223664	+	0.0561354i
$685$	−43.1169	+	19.9480i	−1.64741	+	0.762173i
$686$	−12.8036	+	7.70366i	−0.488843	+	0.294127i
$687$	−3.63706	−	3.44521i	−0.138763	−	0.131443i
$688$	5.63367	−	4.28260i	0.214781	−	0.163273i
$689$	3.45759	−	63.7715i	0.131724	−	2.42950i
$690$	1.08386	+	0.501447i	0.0412619	+	0.0190898i
$691$	−31.9922	+	3.47936i	−1.21704	+	0.132361i	−0.694017	−	0.719958i	$-0.744161\pi$
$691$	−31.9922	+	3.47936i	−1.21704	+	0.132361i	−0.523022	+	0.852319i	$0.675195\pi$
$692$	4.24639	−	1.43077i	0.161423	−	0.0543899i
$693$	0.0449865	−	0.274405i	0.00170889	−	0.0104238i
$694$	25.6165	−	24.2653i	0.972390	−	0.921097i
$695$	10.4173	−	37.5198i	0.395151	−	1.42321i
$696$	−1.97664	+	3.72835i	−0.0749245	+	0.141323i
$697$	43.6293	+	14.7004i	1.65258	+	0.556818i
$698$	30.7273	+	6.76360i	1.16305	+	0.256006i
$699$	−4.58930	−	16.5292i	−0.173583	−	0.625190i
$700$	−0.242831	−	0.146106i	−0.00917814	−	0.00552230i
$701$	23.5958	+	2.56620i	0.891202	+	0.0969240i	0.542251	−	0.840217i	$-0.317572\pi$
$701$	23.5958	+	2.56620i	0.891202	+	0.0969240i	0.348951	+	0.937141i	$0.386538\pi$
$702$	−6.03561	+	1.32854i	−0.227799	+	0.0501424i
$703$	1.96320	+	3.70298i	0.0740434	+	0.139661i
$704$	0.0379093	+	0.231237i	0.00142876	+	0.00871506i
$705$	5.52256	+	4.19814i	0.207992	+	0.158111i
$706$	2.16468	−	2.54846i	0.0814688	−	0.0959125i
$707$	14.3153			0.538383
$708$	−6.33725	+	4.34042i	−0.238168	+	0.163123i
$709$	25.9647			0.975126			0.487563	−	0.873088i	$-0.337886\pi$
$709$	25.9647			0.975126			0.487563	+	0.873088i	$0.337886\pi$
$710$	10.6508	−	12.5391i	0.399716	−	0.470582i
$711$	1.72529	+	1.31153i	0.0647033	+	0.0491862i
$712$	−0.0377957	−	0.230544i	−0.00141645	−	0.00863999i
$713$	−1.90143	−	3.58648i	−0.0712091	−	0.134315i
$714$	9.08750	−	2.00031i	0.340091	−	0.0748597i
$715$	3.29514	+	0.358368i	0.123231	+	0.0134022i
$716$	−7.38781	−	4.44510i	−0.276095	−	0.166121i
$717$	4.93138	+	17.7612i	0.184166	+	0.663306i
$718$	−21.2532	−	4.67818i	−0.793162	−	0.174588i
$719$	−35.4537	−	11.9458i	−1.32220	−	0.445502i	−0.432331	−	0.901715i	$-0.642309\pi$
$719$	−35.4537	−	11.9458i	−1.32220	−	0.445502i	−0.889870	+	0.456213i	$0.849205\pi$
$720$	−1.07211	+	2.02222i	−0.0399553	+	0.0753638i
$721$	−5.04598	+	18.1740i	−0.187922	+	0.676834i
$722$	−11.9807	+	11.3487i	−0.445875	+	0.422355i
$723$	−0.518223	+	3.16102i	−0.0192729	+	0.117560i
$724$	6.78084	−	2.28473i	0.252008	−	0.0849113i
$725$	1.00187	−	0.108959i	0.0372084	−	0.00404665i
$726$	−9.93350	−	4.59573i	−0.368667	−	0.170563i
$727$	2.91379	−	53.7416i	0.108066	−	1.99317i	−0.00834030	−	0.999965i	$-0.502655\pi$
$727$	2.91379	−	53.7416i	0.108066	−	1.99317i	0.116407	−	0.993202i	$-0.462862\pi$
$728$	5.83842	−	4.43825i	0.216386	−	0.164492i
$729$	−0.725995	−	0.687699i	−0.0268887	−	0.0254704i
$730$	−19.7427	+	11.8788i	−0.730711	+	0.439654i
$731$	50.3608	−	23.2994i	1.86266	−	0.861758i
$732$	3.97716	+	9.98193i	0.147000	+	0.368943i
$733$	1.35862	−	2.00382i	0.0501819	−	0.0740127i	−0.801770	−	0.597632i	$-0.796108\pi$
$733$	1.35862	−	2.00382i	0.0501819	−	0.0740127i	0.851952	+	0.523620i	$0.175419\pi$
$734$	5.09419	+	7.51337i	0.188030	+	0.277323i
$735$	4.73729	−	11.8897i	0.174738	−	0.438558i
$736$	0.0282477	+	0.520999i	0.00104123	+	0.0192043i
$737$	0.903796	+	1.06403i	0.0332918	+	0.0391941i
$738$	3.80111	+	4.47501i	0.139921	+	0.164727i
$739$	−0.811517	−	14.9675i	−0.0298521	−	0.550590i	−0.974760	−	0.223254i	$-0.928332\pi$
$739$	−0.811517	−	14.9675i	−0.0298521	−	0.550590i	0.944908	−	0.327336i	$-0.106151\pi$
$740$	−2.24678	+	5.63898i	−0.0825931	+	0.207293i
$741$	5.48104	+	8.08393i	0.201351	+	0.296970i
$742$	−6.88196	+	10.1501i	−0.252645	+	0.372623i
$743$	8.89030	+	22.3130i	0.326153	+	0.818583i	0.997030	+	0.0770144i	$0.0245387\pi$
$743$	8.89030	+	22.3130i	0.326153	+	0.818583i	−0.670877	+	0.741569i	$0.734082\pi$
$744$	7.06097	−	3.26675i	0.258868	−	0.119765i
$745$	9.73833	−	5.85936i	0.356785	−	0.214670i
$746$	−12.6363	−	11.9698i	−0.462649	−	0.438244i
$747$	−1.88495	+	1.43290i	−0.0689668	+	0.0524272i
$748$	−0.0994736	+	1.83468i	−0.00363711	+	0.0670826i
$749$	−5.29075	−	2.44776i	−0.193320	−	0.0894393i
$750$	−10.8337	+	1.17824i	−0.395592	+	0.0430232i
$751$	−44.6981	+	15.0605i	−1.63106	+	0.549567i	−0.978155	−	0.207875i	$-0.933345\pi$
$751$	−44.6981	+	15.0605i	−1.63106	+	0.549567i	−0.652902	+	0.757442i	$0.726449\pi$
$752$	−0.490332	+	2.99089i	−0.0178806	+	0.109067i
$753$	21.1108	−	19.9972i	0.769320	−	0.728739i
$754$	−6.97700	+	25.1289i	−0.254087	+	0.915140i
$755$	−16.2929	+	30.7317i	−0.592959	+	1.11844i
$756$	1.12457	+	0.378911i	0.0409001	+	0.0137809i
$757$	33.7640	+	7.43201i	1.22717	+	0.270121i	0.780831	−	0.624742i	$-0.214796\pi$
$757$	33.7640	+	7.43201i	1.22717	+	0.270121i	0.446341	+	0.894863i	$0.352727\pi$
$758$	10.1663	+	36.6158i	0.369258	+	1.32995i
$759$	0.104761	+	0.0630324i	0.00380257	+	0.00228793i
$760$	3.59603	+	0.391092i	0.130442	+	0.0141864i
$761$	47.5046	−	10.4566i	1.72204	−	0.379050i	0.759568	−	0.650427i	$-0.225410\pi$
$761$	47.5046	−	10.4566i	1.72204	−	0.379050i	0.962473	+	0.271377i	$0.0874791\pi$
$762$	−9.68240	−	18.2629i	−0.350756	−	0.661597i
$763$	1.03252	+	6.29809i	0.0373797	+	0.228006i
$764$	−5.96029	−	4.53089i	−0.215636	−	0.163922i
$765$	−11.6188	+	13.6787i	−0.420080	+	0.494556i
$766$	3.90593			0.141127
$767$	−32.4827	+	34.6164i	−1.17288	+	1.24992i
$768$	−1.00000			−0.0360844
$769$	13.7224	−	16.1553i	0.494843	−	0.582574i	−0.456882	−	0.889528i	$-0.651034\pi$
$769$	13.7224	−	16.1553i	0.494843	−	0.582574i	0.951725	+	0.306953i	$0.0993095\pi$
$770$	−0.506678	−	0.385167i	−0.0182594	−	0.0138804i
$771$	−0.184026	−	1.12251i	−0.00662753	−	0.0404262i
$772$	7.99797	+	15.0858i	0.287853	+	0.542949i
$773$	24.8216	−	5.46364i	0.892770	−	0.196514i	0.255184	−	0.966893i	$-0.417864\pi$
$773$	24.8216	−	5.46364i	0.892770	−	0.196514i	0.637586	+	0.770379i	$0.279933\pi$
$774$	7.03516	+	0.765120i	0.252874	+	0.0275017i
$775$	−1.59202	−	0.957888i	−0.0571871	−	0.0344083i
$776$	−0.0740748	−	0.266793i	−0.00265913	−	0.00957732i
$777$	3.07356	+	0.676541i	0.110263	+	0.0242708i
$778$	−18.7656	−	6.32285i	−0.672778	−	0.226685i
$779$	4.34642	−	8.19821i	0.155726	−	0.293731i
$780$	−3.78426	+	13.6297i	−0.135498	+	0.488021i
$781$	1.22279	−	1.15829i	0.0437547	−	0.0414467i
$782$	−0.661892	+	4.03736i	−0.0236692	+	0.144376i
$783$	−3.99902	+	1.34743i	−0.142913	+	0.0481531i
$784$	5.55900	−	0.604577i	0.198536	−	0.0215920i
$785$	8.23940	+	3.81195i	0.294077	+	0.136054i
$786$	−0.456452	+	8.41876i	−0.0162811	+	0.300287i
$787$	−9.43966	+	7.17584i	−0.336487	+	0.255791i	−0.759749	−	0.650216i	$-0.774678\pi$
$787$	−9.43966	+	7.17584i	−0.336487	+	0.255791i	0.423262	+	0.906008i	$0.360885\pi$
$788$	−1.75985	−	1.66702i	−0.0626921	−	0.0593851i
$789$	16.2542	−	9.77985i	0.578666	−	0.348172i
$790$	4.50191	−	2.08280i	0.160171	−	0.0741029i
$791$	−7.11665	−	17.8614i	−0.253039	−	0.635080i
$792$	−0.131499	+	0.193947i	−0.00467262	+	0.00689160i
$793$	37.2660	+	54.9632i	1.32335	+	1.95180i
$794$	1.31877	−	3.30986i	0.0468014	−	0.117463i
$795$	−1.28054	−	23.6182i	−0.0454162	−	0.837653i
$796$	−1.47205	−	1.73303i	−0.0521753	−	0.0614256i
$797$	−34.9239	−	41.1156i	−1.23707	−	1.45639i	−0.843533	−	0.537078i	$-0.819528\pi$
$797$	−34.9239	−	41.1156i	−1.23707	−	1.45639i	−0.393534	−	0.919310i	$-0.628748\pi$
$798$	−0.101533	−	1.87266i	−0.00359422	−	0.0662914i
$799$	−8.79642	+	22.0774i	−0.311195	+	0.781041i
$800$	0.134019	+	0.197663i	0.00473829	+	0.00698846i
$801$	0.131105	−	0.193366i	0.00463238	−	0.00683224i
$802$	−9.09923	−	22.8374i	−0.321305	−	0.806415i
$803$	−2.14082	+	0.990450i	−0.0755480	+	0.0349522i
$804$	−5.10505	+	3.07160i	−0.180041	+	0.108327i
$805$	−1.02887	−	0.974598i	−0.0362629	−	0.0343501i
$806$	38.2772	−	29.0976i	1.34826	−	1.02492i
$807$	0.632507	−	11.6659i	0.0222653	−	0.410659i
$808$	−10.9483	−	5.06523i	−0.385161	−	0.178194i
$809$	1.83376	−	0.199434i	0.0644716	−	0.00701171i	−0.0758264	−	0.997121i	$-0.524159\pi$
$809$	1.83376	−	0.199434i	0.0644716	−	0.00701171i	0.140298	+	0.990109i	$0.455194\pi$
$810$	−2.16903	+	0.730832i	−0.0762120	+	0.0256788i
$811$	−2.73194	+	16.6641i	−0.0959313	+	0.585155i	0.894491	+	0.447086i	$0.147538\pi$
$811$	−2.73194	+	16.6641i	−0.0959313	+	0.585155i	−0.990423	+	0.138070i	$0.955910\pi$
$812$	3.63558	−	3.44380i	0.127584	−	0.120854i
$813$	0.939930	−	3.38532i	0.0329648	−	0.118728i
$814$	−0.291085	+	0.549045i	−0.0102025	+	0.0192440i
$815$	28.4679	+	9.59195i	0.997187	+	0.335991i
$816$	−7.65788	−	1.68563i	−0.268079	−	0.0590087i
$817$	−2.99197	−	10.7761i	−0.104676	−	0.377008i
$818$	−2.30523	−	1.38701i	−0.0806006	−	0.0484958i
$819$	7.29084	+	0.792927i	0.254763	+	0.0277071i
$820$	13.1247	−	2.88896i	0.458334	−	0.100887i
$821$	0.623350	+	1.17576i	0.0217551	+	0.0410344i	0.894151	−	0.447765i	$-0.147780\pi$
$821$	0.623350	+	1.17576i	0.0217551	+	0.0410344i	−0.872396	+	0.488799i	$0.837435\pi$
$822$	−3.35798	−	20.4828i	−0.117123	−	0.714419i
$823$	−8.19011	−	6.22596i	−0.285489	−	0.217023i	0.452622	−	0.891703i	$-0.350489\pi$
$823$	−8.19011	−	6.22596i	−0.285489	−	0.217023i	−0.738111	+	0.674679i	$0.764282\pi$
$824$	10.2897	−	12.1140i	0.358459	−	0.422011i
$825$	0.0559596			0.00194826
$826$	8.77130	−	2.47985i	0.305192	−	0.0862849i
$827$	1.75490			0.0610239			0.0305120	−	0.999534i	$-0.490286\pi$
$827$	1.75490			0.0610239			0.0305120	+	0.999534i	$0.490286\pi$
$828$	−0.337783	+	0.397669i	−0.0117388	+	0.0138199i
$829$	−34.4822	−	26.2127i	−1.19762	−	0.910405i	−0.200027	−	0.979790i	$-0.564103\pi$
$829$	−34.4822	−	26.2127i	−1.19762	−	0.910405i	−0.997590	+	0.0693853i	$0.977896\pi$
$830$	0.876765	+	5.34803i	0.0304330	+	0.185633i
$831$	−7.84526	−	14.7977i	−0.272149	−	0.513328i
$832$	−6.03561	+	1.32854i	−0.209247	+	0.0460588i
$833$	43.5892	+	4.74061i	1.51028	+	0.164252i
$834$	14.5773	+	8.77088i	0.504771	+	0.303711i
$835$	8.27766	+	29.8134i	0.286460	+	1.03174i
$836$	0.361661	+	0.0796076i	0.0125083	+	0.00275329i
$837$	7.37277	+	2.48418i	0.254840	+	0.0858657i
$838$	9.58596	−	18.0810i	0.331141	−	0.624599i
$839$	−13.6011	+	48.9867i	−0.469562	+	1.69121i	0.227153	+	0.973859i	$0.427058\pi$
$839$	−13.6011	+	48.9867i	−0.469562	+	1.69121i	−0.696714	+	0.717349i	$0.745355\pi$
$840$	1.97191	−	1.86789i	0.0680373	−	0.0644483i
$841$	1.81072	−	11.0449i	0.0624384	−	0.380858i
$842$	−8.23649	+	2.77520i	−0.283848	+	0.0956396i
$843$	−3.41475	+	0.371376i	−0.117610	+	0.0127909i
$844$	1.75539	+	0.812132i	0.0604232	+	0.0279547i
$845$	−3.12188	+	57.5796i	−0.107396	+	1.98080i
$846$	−2.41281	+	1.83417i	−0.0829542	+	0.0630602i
$847$	9.42952	+	8.93211i	0.324002	+	0.306911i
$848$	8.85477	−	5.32774i	0.304074	−	0.182955i
$849$	5.87456	−	2.71786i	0.201614	−	0.0932768i
$850$	0.693115	+	1.73959i	0.0237737	+	0.0596674i
$851$	−0.776535	+	1.14530i	−0.0266193	+	0.0392605i
$852$	4.03375	+	5.94933i	0.138194	+	0.203821i
$853$	−3.04078	+	7.63177i	−0.104114	+	0.261307i	−0.971800	−	0.235806i	$-0.924227\pi$
$853$	−3.04078	+	7.63177i	−0.104114	+	0.261307i	0.867686	+	0.497113i	$0.165606\pi$
$854$	−0.690328	−	12.7323i	−0.0236225	−	0.435692i
$855$	2.34175	+	2.75692i	0.0800861	+	0.0942846i
$856$	3.18026	+	3.74409i	0.108699	+	0.127970i
$857$	0.0223814	+	0.412800i	0.000764533	+	0.0141010i	0.998891	−	0.0470871i	$-0.0149938\pi$
$857$	0.0223814	+	0.412800i	0.000764533	+	0.0141010i	−0.998126	+	0.0611880i	$0.980511\pi$
$858$	−0.536012	+	1.34529i	−0.0182992	+	0.0459274i
$859$	27.8379	+	41.0578i	0.949817	+	1.40088i	0.915880	+	0.401451i	$0.131494\pi$
$859$	27.8379	+	41.0578i	0.949817	+	1.40088i	0.0339368	+	0.999424i	$0.489195\pi$
$860$	9.08974	−	13.4064i	0.309957	−	0.457153i
$861$	−2.57897	−	6.47273i	−0.0878911	−	0.220590i
$862$	−7.03695	+	3.25564i	−0.239679	+	0.110887i
$863$	18.0062	−	10.8340i	0.612938	−	0.368793i	−0.174980	−	0.984572i	$-0.555986\pi$
$863$	18.0062	−	10.8340i	0.612938	−	0.368793i	0.787919	+	0.615779i	$0.211159\pi$
$864$	−0.725995	−	0.687699i	−0.0246989	−	0.0233960i
$865$	8.16489	−	6.20679i	0.277615	−	0.211037i
$866$	0.376359	−	6.94153i	0.0127892	−	0.235883i
$867$	−40.3729	−	18.6785i	−1.37114	−	0.634355i
$868$	−9.17834	+	0.998205i	−0.311533	+	0.0338813i
$869$	0.481241	−	0.162149i	0.0163250	−	0.00550053i
$870$	−1.56261	+	9.53149i	−0.0529774	+	0.323148i
$871$	−26.7313	+	25.3212i	−0.905756	+	0.857977i
$872$	1.43881	−	5.18211i	0.0487241	−	0.175488i
$873$	0.129696	−	0.244632i	0.00438953	−	0.00827954i
$874$	0.781419	+	0.263291i	0.0264319	+	0.00890594i
$875$	12.6297	+	2.78001i	0.426962	+	0.0939815i
$876$	−2.69310	−	9.69966i	−0.0909913	−	0.327721i
$877$	−4.06410	−	2.44529i	−0.137235	−	0.0825715i	0.445281	−	0.895391i	$-0.353104\pi$
$877$	−4.06410	−	2.44529i	−0.137235	−	0.0825715i	−0.582516	+	0.812820i	$0.697932\pi$
$878$	−2.36333	−	0.257027i	−0.0797585	−	0.00867426i
$879$	−9.51383	+	2.09415i	−0.320893	+	0.0706340i
$880$	0.251222	+	0.473854i	0.00846868	+	0.0159736i
$881$	3.97746	+	24.2614i	0.134004	+	0.817388i	0.965220	+	0.261439i	$0.0841970\pi$
$881$	3.97746	+	24.2614i	0.134004	+	0.817388i	−0.831216	+	0.555950i	$0.812355\pi$
$882$	4.45157	+	3.38400i	0.149892	+	0.113945i
$883$	−4.30661	+	5.07014i	−0.144929	+	0.170624i	−0.829837	−	0.558006i	$-0.811567\pi$
$883$	−4.30661	+	5.07014i	−0.144929	+	0.170624i	0.684908	+	0.728630i	$0.259842\pi$
$884$	−48.4593			−1.62986
$885$	−10.5736	+	14.0460i	−0.355427	+	0.472150i
$886$	24.9766			0.839104
$887$	6.43254	−	7.57297i	0.215983	−	0.254275i	−0.643492	−	0.765453i	$-0.722515\pi$
$887$	6.43254	−	7.57297i	0.215983	−	0.254275i	0.859475	+	0.511178i	$0.170791\pi$
$888$	−2.11127	−	1.60494i	−0.0708495	−	0.0538584i
$889$	3.96848	+	24.2067i	0.133099	+	0.811866i
$890$	−0.250469	−	0.472434i	−0.00839573	−	0.0158360i
$891$	−0.228845	+	0.0503726i	−0.00766660	+	0.00168755i
$892$	9.16861	+	0.997147i	0.306988	+	0.0333869i
$893$	4.10420	+	2.46941i	0.137342	+	0.0826358i
$894$	1.32840	+	4.78447i	0.0444284	+	0.160017i
$895$	−19.2730	−	4.24231i	−0.644226	−	0.141805i
$896$	1.12457	+	0.378911i	0.0375692	+	0.0126585i
$897$	−1.51041	+	2.84893i	−0.0504310	+	0.0951230i
$898$	4.29157	−	15.4568i	0.143212	−	0.515801i
$899$	23.8352	−	22.5779i	0.794949	−	0.753016i
$900$	−0.0386357	+	0.235668i	−0.00128786	+	0.00785559i
$901$	76.7893	−	25.8733i	2.55822	−	0.861965i
$902$	1.36776	−	0.148753i	0.0455413	−	0.00495292i
$903$	−7.62160	−	3.52613i	−0.253631	−	0.117342i
$904$	−0.877173	+	16.1785i	−0.0291743	+	0.538089i
$905$	13.0381	−	9.91130i	0.433401	−	0.329463i
$906$	−11.0329	−	10.4509i	−0.366545	−	0.347209i
$907$	17.6986	−	10.6489i	0.587674	−	0.353592i	−0.190455	−	0.981696i	$-0.560996\pi$
$907$	17.6986	−	10.6489i	0.587674	−	0.353592i	0.778129	+	0.628104i	$0.216169\pi$
$908$	20.2293	−	9.35908i	0.671333	−	0.310592i
$909$	−4.46507	−	11.2065i	−0.148097	−	0.371696i
$910$	9.42009	−	13.8936i	0.312273	−	0.460568i
$911$	4.49511	+	6.62980i	0.148930	+	0.219655i	0.894835	−	0.446397i	$-0.147293\pi$
$911$	4.49511	+	6.62980i	0.148930	+	0.219655i	−0.745905	+	0.666052i	$0.767983\pi$
$912$	−0.584957	+	1.46813i	−0.0193699	+	0.0486147i
$913$	0.0300374	+	0.554007i	0.000994092	+	0.0183349i
$914$	20.5971	+	24.2487i	0.681290	+	0.802077i
$915$	15.9217	+	18.7445i	0.526355	+	0.619674i
$916$	−0.271223	−	5.00241i	−0.00896146	−	0.165284i
$917$	3.70327	−	9.29450i	0.122293	−	0.306932i
$918$	−4.40038	−	6.49007i	−0.145234	−	0.214204i
$919$	−21.1683	+	31.2209i	−0.698277	+	1.02988i	0.298862	+	0.954296i	$0.403393\pi$
$919$	−21.1683	+	31.2209i	−0.698277	+	1.02988i	−0.997139	+	0.0755855i	$0.975917\pi$
$920$	0.442033	+	1.10942i	0.0145734	+	0.0365765i
$921$	21.5195	−	9.95597i	0.709091	−	0.328060i
$922$	32.1663	−	19.3538i	1.05934	−	0.637385i
$923$	32.2500	+	30.5488i	1.06152	+	1.00553i
$924$	0.221368	−	0.168280i	0.00728249	−	0.00553600i
$925$	−0.0342885	+	0.632413i	−0.00112740	+	0.0207936i
$926$	−26.8435	−	12.4191i	−0.882131	−	0.408117i
$927$	15.8011	−	1.71847i	0.518975	−	0.0564419i
$928$	−3.99902	+	1.34743i	−0.131274	+	0.0442314i
$929$	1.99351	−	12.1599i	0.0654051	−	0.398953i	−0.933753	−	0.357919i	$-0.883486\pi$
$929$	1.99351	−	12.1599i	0.0654051	−	0.398953i	0.999158	−	0.0410344i	$-0.0130653\pi$
$930$	12.9280	−	12.2461i	0.423926	−	0.401564i
$931$	2.36417	−	8.51499i	0.0774827	−	0.279067i
$932$	8.03528	−	15.1562i	0.263204	−	0.496456i
$933$	−19.4992	−	6.57005i	−0.638375	−	0.215094i
$934$	−35.1315	−	7.73304i	−1.14954	−	0.253033i
$935$	1.12508	+	4.05218i	0.0367941	+	0.132521i
$936$	−5.29546	−	3.18617i	−0.173087	−	0.104143i
$937$	−42.0463	−	4.57281i	−1.37359	−	0.149387i	−0.608626	−	0.793457i	$-0.708279\pi$
$937$	−42.0463	−	4.57281i	−1.37359	−	0.149387i	−0.764966	+	0.644070i	$0.777244\pi$
$938$	6.90483	−	1.51987i	0.225451	−	0.0496255i
$939$	−8.80931	−	16.6161i	−0.287481	−	0.542247i
$940$	1.12229	+	6.84569i	0.0366052	+	0.223282i
$941$	18.2238	+	13.8533i	0.594078	+	0.451606i	0.858509	−	0.512798i	$-0.171391\pi$
$941$	18.2238	+	13.8533i	0.594078	+	0.451606i	−0.264431	+	0.964404i	$0.585184\pi$
$942$	−2.56779	+	3.02304i	−0.0836632	+	0.0984960i
$943$	3.06352			0.0997619
$944$	−7.58572	−	1.20699i	−0.246894	−	0.0392843i
$945$	2.71614			0.0883561
$946$	1.07351	−	1.26383i	0.0349029	−	0.0410908i
$947$	−34.2166	−	26.0108i	−1.11189	−	0.845238i	−0.122784	−	0.992433i	$-0.539182\pi$
$947$	−34.2166	−	26.0108i	−1.11189	−	0.845238i	−0.989107	+	0.147196i	$0.952975\pi$
$948$	0.350613	+	2.13864i	0.0113874	+	0.0694599i
$949$	−29.1408	−	54.9655i	−0.945952	−	1.78425i
$950$	0.368591	−	0.0811331i	0.0119587	−	0.00263230i
$951$	−1.95796	−	0.212941i	−0.0634911	−	0.00690507i
$952$	7.97309	+	4.79725i	0.258409	+	0.155480i
$953$	10.2581	+	36.9462i	0.332291	+	1.19681i	0.921356	+	0.388720i	$0.127083\pi$
$953$	10.2581	+	36.9462i	0.332291	+	1.19681i	−0.589065	+	0.808086i	$0.700504\pi$
$954$	10.0924	+	2.22151i	0.326754	+	0.0719239i
$955$	−16.2394	−	5.47168i	−0.525494	−	0.177059i
$956$	−8.63423	+	16.2859i	−0.279251	+	0.526723i
$957$	−0.264539	+	0.952782i	−0.00855132	+	0.0307991i
$958$	20.6928	−	19.6012i	0.668553	−	0.633287i
$959$	−3.98487	+	24.3066i	−0.128678	+	0.784902i
$960$	−2.16903	+	0.730832i	−0.0700052	+	0.0235875i
$961$	−29.3558	+	3.19264i	−0.946963	+	0.102988i
$962$	−14.8750	−	6.88191i	−0.479589	−	0.221882i
$963$	−0.265955	+	4.90525i	−0.00857028	+	0.158070i
$964$	−2.55006	+	1.93850i	−0.0821319	+	0.0624350i
$965$	28.3730	+	26.8763i	0.913359	+	0.865180i
$966$	0.530541	−	0.319216i	0.0170699	−	0.0102706i
$967$	−51.0394	+	23.6133i	−1.64132	+	0.759353i	−0.999969	−	0.00789801i	$-0.997486\pi$
$967$	−51.0394	+	23.6133i	−1.64132	+	0.759353i	−0.641347	+	0.767251i	$0.721624\pi$
$968$	−4.05120	−	10.1677i	−0.130210	−	0.326803i
$969$	−6.95425	+	10.2567i	−0.223403	+	0.329494i
$970$	−0.355652	−	0.524547i	−0.0114193	−	0.0168422i
$971$	−12.8089	+	32.1479i	−0.411057	+	1.03168i	0.567070	+	0.823670i	$0.308077\pi$
$971$	−12.8089	+	32.1479i	−0.411057	+	1.03168i	−0.978127	+	0.208007i	$0.933302\pi$
$972$	−0.0541389	−	0.998533i	−0.00173651	−	0.0320280i
$973$	−13.0698	−	15.3870i	−0.418998	−	0.493283i
$974$	12.6395	+	14.8804i	0.404997	+	0.476799i
$975$	0.0799031	+	1.47373i	0.00255895	+	0.0471970i
$976$	−3.97716	+	9.98193i	−0.127306	+	0.319514i
$977$	−23.9362	−	35.3032i	−0.765786	−	1.12945i	−0.988000	−	0.154452i	$-0.950639\pi$
$977$	−23.9362	−	35.3032i	−0.765786	−	1.12945i	0.222214	−	0.974998i	$-0.428672\pi$
$978$	−7.36542	+	10.8632i	−0.235520	+	0.347366i
$979$	−0.0202625	−	0.0508549i	−0.000647591	−	0.00162533i
$980$	11.6158	−	5.37404i	0.371053	−	0.171667i
$981$	4.60830	−	2.77272i	0.147132	−	0.0885262i
$982$	−2.04043	−	1.93280i	−0.0651128	−	0.0616782i
$983$	37.8932	−	28.8057i	1.20861	−	0.918758i	0.210340	−	0.977628i	$-0.432543\pi$
$983$	37.8932	−	28.8057i	1.20861	−	0.918758i	0.998266	+	0.0588699i	$0.0187497\pi$
$984$	−0.317875	+	5.86285i	−0.0101335	+	0.186901i
$985$	−5.03548	−	2.32966i	−0.160444	−	0.0742292i
$986$	−32.8952	+	3.57757i	−1.04760	+	0.113933i
$987$	3.40836	−	1.14841i	0.108489	−	0.0365543i
$988$	−1.58010	+	9.63820i	−0.0502698	+	0.306632i
$989$	2.68062	−	2.53922i	0.0852388	−	0.0807425i
$990$	−0.143484	+	0.516781i	−0.00456021	+	0.0164244i
$991$	1.30629	−	2.46393i	0.0414957	−	0.0782693i	−0.861897	−	0.507083i	$-0.830724\pi$
$991$	1.30629	−	2.46393i	0.0414957	−	0.0782693i	0.903393	+	0.428814i	$0.141068\pi$
$992$	7.37277	+	2.48418i	0.234086	+	0.0788727i
$993$	−27.7844	−	6.11581i	−0.881711	−	0.194079i
$994$	−2.28195	−	8.21885i	−0.0723792	−	0.260686i
$995$	−4.45947	−	2.68317i	−0.141375	−	0.0850623i
$996$	−2.35387	−	0.255999i	−0.0745853	−	0.00811165i
$997$	−7.48790	+	1.64821i	−0.237144	+	0.0521994i	−0.331952	−	0.943296i	$-0.607707\pi$
$997$	−7.48790	+	1.64821i	−0.237144	+	0.0521994i	0.0948081	+	0.995496i	$0.469776\pi$
$998$	−8.67760	−	16.3677i	−0.274685	−	0.518110i
$999$	−0.429052	−	2.61710i	−0.0135746	−	0.0828013i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	354.2.e.b.127.1	✓	56
59.46	even	29	inner	354.2.e.b.223.1	yes	56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
354.2.e.b.127.1	✓	56	1.1	even	1	trivial
354.2.e.b.223.1	yes	56	59.46	even	29	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 354 = 2 \cdot 3 \cdot 59 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	354.e (of order \(29\), degree \(28\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.647386 + 0.762162i) q^{2} +(-0.796093 - 0.605174i) q^{3} +(-0.161782 - 0.986827i) q^{4} +(-1.07211 - 2.02222i) q^{5} +(0.976621 - 0.214970i) q^{6} +(-1.17973 - 0.128303i) q^{7} +(0.856857 + 0.515554i) q^{8} +(0.267528 + 0.963550i) q^{9} +O(q^{10})\)	\(q+(-0.647386 + 0.762162i) q^{2} +(-0.796093 - 0.605174i) q^{3} +(-0.161782 - 0.986827i) q^{4} +(-1.07211 - 2.02222i) q^{5} +(0.976621 - 0.214970i) q^{6} +(-1.17973 - 0.128303i) q^{7} +(0.856857 + 0.515554i) q^{8} +(0.267528 + 0.963550i) q^{9} +(2.23533 + 0.492034i) q^{10} +(0.222057 + 0.0748198i) q^{11} +(-0.468408 + 0.883512i) q^{12} +(-1.65335 + 5.95483i) q^{13} +(0.861529 - 0.816084i) q^{14} +(-0.370294 + 2.25869i) q^{15} +(-0.947653 + 0.319302i) q^{16} +(-7.79523 + 0.847783i) q^{17} +(-0.907575 - 0.419889i) q^{18} +(-0.0855598 + 1.57806i) q^{19} +(-1.82213 + 1.38515i) q^{20} +(0.861529 + 0.816084i) q^{21} +(-0.200782 + 0.120806i) q^{22} +(-0.473540 + 0.219083i) q^{23} +(-0.370138 - 0.928977i) q^{24} +(-0.134019 + 0.197663i) q^{25} +(-3.46819 - 5.11520i) q^{26} +(0.370138 - 0.928977i) q^{27} +(0.0642459 + 1.18495i) q^{28} +(-2.73192 - 3.21626i) q^{29} +(-1.48177 - 1.74447i) q^{30} +(0.421203 + 7.76862i) q^{31} +(0.370138 - 0.928977i) q^{32} +(-0.131499 - 0.193947i) q^{33} +(4.40038 - 6.49007i) q^{34} +(1.00535 + 2.52323i) q^{35} +(0.907575 - 0.419889i) q^{36} +(2.27242 - 1.36727i) q^{37} +(-1.14735 - 1.08682i) q^{38} +(4.91993 - 3.74003i) q^{39} +(0.123916 - 2.28549i) q^{40} +(-5.32880 - 2.46536i) q^{41} +(-1.17973 + 0.128303i) q^{42} +(-6.70620 + 2.25958i) q^{43} +(0.0379093 - 0.231237i) q^{44} +(1.66169 - 1.57404i) q^{45} +(0.139587 - 0.502746i) q^{46} +(1.41966 - 2.67776i) q^{47} +(0.947653 + 0.319302i) q^{48} +(-5.46104 - 1.20207i) q^{49} +(-0.0638894 - 0.230109i) q^{50} +(6.71879 + 4.04256i) q^{51} +(6.14387 + 0.668186i) q^{52} +(-10.0924 + 2.22151i) q^{53} +(0.468408 + 0.883512i) q^{54} +(-0.0867686 - 0.529265i) q^{55} +(-0.944713 - 0.718152i) q^{56} +(1.02311 - 1.20450i) q^{57} +4.21992 q^{58} +(6.80324 + 3.56594i) q^{59} +2.28885 q^{60} +(6.95622 - 8.18949i) q^{61} +(-6.19363 - 4.70828i) q^{62} +(-0.191985 - 1.17105i) q^{63} +(0.468408 + 0.883512i) q^{64} +(13.8146 - 3.04082i) q^{65} +(0.232950 + 0.0253348i) q^{66} +(5.10505 + 3.07160i) q^{67} +(2.09774 + 7.55539i) q^{68} +(0.509566 + 0.112164i) q^{69} +(-2.57396 - 0.867268i) q^{70} +(3.36687 - 6.35058i) q^{71} +(-0.267528 + 0.963550i) q^{72} +(-7.30830 + 6.92279i) q^{73} +(-0.429052 + 2.61710i) q^{74} +(0.226312 - 0.0762536i) q^{75} +(1.57111 - 0.170869i) q^{76} +(-0.252368 - 0.116758i) q^{77} +(-0.334584 + 6.17103i) q^{78} +(1.72529 - 1.31153i) q^{79} +(1.66169 + 1.57404i) q^{80} +(-0.856857 + 0.515554i) q^{81} +(5.32880 - 2.46536i) q^{82} +(0.876396 + 2.19959i) q^{83} +(0.665953 - 0.982207i) q^{84} +(10.0718 + 14.8548i) q^{85} +(2.61934 - 6.57404i) q^{86} +(0.228462 + 4.21373i) q^{87} +(0.151698 + 0.178592i) q^{88} +(-0.151243 - 0.178057i) q^{89} +(0.123916 + 2.28549i) q^{90} +(2.71453 - 6.81296i) q^{91} +(0.292807 + 0.431858i) q^{92} +(4.36605 - 6.43945i) q^{93} +(1.12182 + 2.81556i) q^{94} +(3.28291 - 1.51884i) q^{95} +(-0.856857 + 0.515554i) q^{96} +(-0.201018 - 0.190414i) q^{97} +(4.45157 - 3.38400i) q^{98} +(-0.0126860 + 0.233980i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{5} - 2 q^{6} + q^{7} + 2 q^{8} - 2 q^{9}+O(q^{10}) \) 56 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^5 - 2 * q^6 + q^7 + 2 * q^8 - 2 * q^9	\( 56 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{5} - 2 q^{6} + q^{7} + 2 q^{8} - 2 q^{9} + 2 q^{10} + 30 q^{11} + 2 q^{12} + 5 q^{13} + 28 q^{14} + 2 q^{15} - 2 q^{16} - 3 q^{17} + 2 q^{18} - 4 q^{19} - 2 q^{20} + 28 q^{21} - q^{22} - 2 q^{23} - 2 q^{24} + 64 q^{25} - 34 q^{26} + 2 q^{27} + q^{28} + 8 q^{29} - 2 q^{30} + 2 q^{32} - q^{33} + 32 q^{34} - 87 q^{35} - 2 q^{36} + 47 q^{37} + 4 q^{38} - 5 q^{39} + 2 q^{40} + 3 q^{41} + q^{42} - 61 q^{43} + q^{44} - 2 q^{45} - 27 q^{46} + 50 q^{47} + 2 q^{48} - 45 q^{49} - 6 q^{50} + 3 q^{51} - 24 q^{52} - 27 q^{53} - 2 q^{54} - 95 q^{55} - q^{56} + 4 q^{57} + 50 q^{58} - 58 q^{59} + 2 q^{60} - 74 q^{61} - 29 q^{62} + q^{63} - 2 q^{64} - 17 q^{65} + q^{66} + 4 q^{67} - 32 q^{68} + 31 q^{69} - 58 q^{70} - 47 q^{71} + 2 q^{72} + 43 q^{73} - 18 q^{74} - 6 q^{75} - 33 q^{76} - 5 q^{77} + 5 q^{78} + 19 q^{79} - 2 q^{80} - 2 q^{81} - 3 q^{82} + 47 q^{83} - q^{84} - 149 q^{85} - 55 q^{86} + 21 q^{87} + 28 q^{88} + 36 q^{89} + 2 q^{90} + 175 q^{91} - 2 q^{92} - 29 q^{93} - 21 q^{94} + 50 q^{95} - 2 q^{96} + 10 q^{97} - 13 q^{98} + q^{99}+O(q^{100}) \) 56 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^5 - 2 * q^6 + q^7 + 2 * q^8 - 2 * q^9 + 2 * q^10 + 30 * q^11 + 2 * q^12 + 5 * q^13 + 28 * q^14 + 2 * q^15 - 2 * q^16 - 3 * q^17 + 2 * q^18 - 4 * q^19 - 2 * q^20 + 28 * q^21 - q^22 - 2 * q^23 - 2 * q^24 + 64 * q^25 - 34 * q^26 + 2 * q^27 + q^28 + 8 * q^29 - 2 * q^30 + 2 * q^32 - q^33 + 32 * q^34 - 87 * q^35 - 2 * q^36 + 47 * q^37 + 4 * q^38 - 5 * q^39 + 2 * q^40 + 3 * q^41 + q^42 - 61 * q^43 + q^44 - 2 * q^45 - 27 * q^46 + 50 * q^47 + 2 * q^48 - 45 * q^49 - 6 * q^50 + 3 * q^51 - 24 * q^52 - 27 * q^53 - 2 * q^54 - 95 * q^55 - q^56 + 4 * q^57 + 50 * q^58 - 58 * q^59 + 2 * q^60 - 74 * q^61 - 29 * q^62 + q^63 - 2 * q^64 - 17 * q^65 + q^66 + 4 * q^67 - 32 * q^68 + 31 * q^69 - 58 * q^70 - 47 * q^71 + 2 * q^72 + 43 * q^73 - 18 * q^74 - 6 * q^75 - 33 * q^76 - 5 * q^77 + 5 * q^78 + 19 * q^79 - 2 * q^80 - 2 * q^81 - 3 * q^82 + 47 * q^83 - q^84 - 149 * q^85 - 55 * q^86 + 21 * q^87 + 28 * q^88 + 36 * q^89 + 2 * q^90 + 175 * q^91 - 2 * q^92 - 29 * q^93 - 21 * q^94 + 50 * q^95 - 2 * q^96 + 10 * q^97 - 13 * q^98 + q^99

Introduction

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