LMFDB - Embedded newform 950.2.h.b.191.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(191,950)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(950, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([2, 0]))

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

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

chi := DirichletCharacter("950.191");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.h (of order $5$, degree $4$, 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:	$7.58578819202$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$10$ over $\Q(\zeta_{5})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			191.10
Character	$\chi$	$=$	950.191
Dual form			950.2.h.b.761.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.809017 - 0.587785i) q^{2} +(0.869807 + 2.67699i) q^{3} +(0.309017 + 0.951057i) q^{4} +(2.22514 - 0.220827i) q^{5} +(0.869807 - 2.67699i) q^{6} +0.0565513 q^{7} +(0.309017 - 0.951057i) q^{8} +(-3.98267 + 2.89358i) q^{9} +O(q^{10})$	\(q+(-0.809017 - 0.587785i) q^{2} +(0.869807 + 2.67699i) q^{3} +(0.309017 + 0.951057i) q^{4} +(2.22514 - 0.220827i) q^{5} +(0.869807 - 2.67699i) q^{6} +0.0565513 q^{7} +(0.309017 - 0.951057i) q^{8} +(-3.98267 + 2.89358i) q^{9} +(-1.92997 - 1.12925i) q^{10} +(-0.352322 - 0.255977i) q^{11} +(-2.27718 + 1.65447i) q^{12} +(4.20677 - 3.05639i) q^{13} +(-0.0457509 - 0.0332400i) q^{14} +(2.52659 + 5.76460i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-1.62839 + 5.01166i) q^{17} +4.92285 q^{18} +(0.309017 - 0.951057i) q^{19} +(0.897624 + 2.04799i) q^{20} +(0.0491887 + 0.151387i) q^{21} +(0.134575 + 0.414179i) q^{22} +(5.63179 + 4.09173i) q^{23} +2.81475 q^{24} +(4.90247 - 0.982741i) q^{25} -5.19985 q^{26} +(-4.37867 - 3.18129i) q^{27} +(0.0174753 + 0.0537834i) q^{28} +(1.16404 + 3.58253i) q^{29} +(1.34429 - 6.14875i) q^{30} +(-1.31564 + 4.04913i) q^{31} +1.00000 q^{32} +(0.378796 - 1.16581i) q^{33} +(4.26317 - 3.09737i) q^{34} +(0.125834 - 0.0124880i) q^{35} +(-3.98267 - 2.89358i) q^{36} +(-3.12891 + 2.27328i) q^{37} +(-0.809017 + 0.587785i) q^{38} +(11.8410 + 8.60300i) q^{39} +(0.477586 - 2.18447i) q^{40} +(5.17267 - 3.75816i) q^{41} +(0.0491887 - 0.151387i) q^{42} -4.51307 q^{43} +(0.134575 - 0.414179i) q^{44} +(-8.22300 + 7.31808i) q^{45} +(-2.15115 - 6.62057i) q^{46} +(-1.93039 - 5.94112i) q^{47} +(-2.27718 - 1.65447i) q^{48} -6.99680 q^{49} +(-4.54382 - 2.08655i) q^{50} -14.8325 q^{51} +(4.20677 + 3.05639i) q^{52} +(-3.35168 - 10.3154i) q^{53} +(1.67250 + 5.14744i) q^{54} +(-0.840491 - 0.491781i) q^{55} +(0.0174753 - 0.0537834i) q^{56} +2.81475 q^{57} +(1.16404 - 3.58253i) q^{58} +(-1.73559 + 1.26098i) q^{59} +(-4.70170 + 4.18429i) q^{60} +(-4.59488 - 3.33838i) q^{61} +(3.44439 - 2.50250i) q^{62} +(-0.225225 + 0.163635i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(8.68570 - 7.72986i) q^{65} +(-0.991700 + 0.720512i) q^{66} +(-1.34969 + 4.15391i) q^{67} -5.26957 q^{68} +(-6.05497 + 18.6353i) q^{69} +(-0.109142 - 0.0638605i) q^{70} +(3.82368 + 11.7681i) q^{71} +(1.52124 + 4.68190i) q^{72} +(-0.601865 - 0.437281i) q^{73} +3.86754 q^{74} +(6.89499 + 12.2691i) q^{75} +1.00000 q^{76} +(-0.0199242 - 0.0144758i) q^{77} +(-4.52287 - 13.9199i) q^{78} +(4.76599 + 14.6682i) q^{79} +(-1.67037 + 1.48656i) q^{80} +(0.143961 - 0.443067i) q^{81} -6.39377 q^{82} +(3.99359 - 12.2910i) q^{83} +(-0.128778 + 0.0935624i) q^{84} +(-2.51667 + 11.5112i) q^{85} +(3.65115 + 2.65272i) q^{86} +(-8.57792 + 6.23222i) q^{87} +(-0.352322 + 0.255977i) q^{88} +(-4.66650 - 3.39041i) q^{89} +(10.9540 - 1.08710i) q^{90} +(0.237898 - 0.172843i) q^{91} +(-2.15115 + 6.62057i) q^{92} -11.9838 q^{93} +(-1.93039 + 5.94112i) q^{94} +(0.477586 - 2.18447i) q^{95} +(0.869807 + 2.67699i) q^{96} +(-2.77241 - 8.53261i) q^{97} +(5.66053 + 4.11262i) q^{98} +2.14387 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 10 q^{2} + 5 q^{3} - 10 q^{4} + 5 q^{6} - 12 q^{7} - 10 q^{8} - 3 q^{9}+O(q^{10}) $ 40 * q - 10 * q^2 + 5 * q^3 - 10 * q^4 + 5 * q^6 - 12 * q^7 - 10 * q^8 - 3 * q^9	\( 40 q - 10 q^{2} + 5 q^{3} - 10 q^{4} + 5 q^{6} - 12 q^{7} - 10 q^{8} - 3 q^{9} - 6 q^{11} + 16 q^{13} - 2 q^{14} + 16 q^{15} - 10 q^{16} - 2 q^{17} + 22 q^{18} - 10 q^{19} - 5 q^{20} + 3 q^{21} + 14 q^{22} + 4 q^{23} - 10 q^{24} - 2 q^{25} - 34 q^{26} + 29 q^{27} + 8 q^{28} + 16 q^{30} + 19 q^{31} + 40 q^{32} - 16 q^{33} + 3 q^{34} - 24 q^{35} - 3 q^{36} + q^{37} - 10 q^{38} - 7 q^{39} + 5 q^{40} + 20 q^{41} + 3 q^{42} - 48 q^{43} + 14 q^{44} + 53 q^{45} + 4 q^{46} + 29 q^{47} + 28 q^{49} + 3 q^{50} - 122 q^{51} + 16 q^{52} - 5 q^{53} - 6 q^{54} + 56 q^{55} + 8 q^{56} - 10 q^{57} + 20 q^{59} - 19 q^{60} + 42 q^{61} - 21 q^{62} + 9 q^{63} - 10 q^{64} + 35 q^{65} + 24 q^{66} - 3 q^{67} - 2 q^{68} - 9 q^{69} - 19 q^{70} + 18 q^{71} - 8 q^{72} + 8 q^{73} - 64 q^{74} + 7 q^{75} + 40 q^{76} + 35 q^{77} - 2 q^{78} + q^{79} + 59 q^{81} - 30 q^{82} + 11 q^{83} - 7 q^{84} - 125 q^{85} + 32 q^{86} - 31 q^{87} - 6 q^{88} - 34 q^{89} - 7 q^{90} + 10 q^{91} + 4 q^{92} + 24 q^{93} + 29 q^{94} + 5 q^{95} + 5 q^{96} + 90 q^{97} - 12 q^{98} + 10 q^{99}+O(q^{100}) \) 40 * q - 10 * q^2 + 5 * q^3 - 10 * q^4 + 5 * q^6 - 12 * q^7 - 10 * q^8 - 3 * q^9 - 6 * q^11 + 16 * q^13 - 2 * q^14 + 16 * q^15 - 10 * q^16 - 2 * q^17 + 22 * q^18 - 10 * q^19 - 5 * q^20 + 3 * q^21 + 14 * q^22 + 4 * q^23 - 10 * q^24 - 2 * q^25 - 34 * q^26 + 29 * q^27 + 8 * q^28 + 16 * q^30 + 19 * q^31 + 40 * q^32 - 16 * q^33 + 3 * q^34 - 24 * q^35 - 3 * q^36 + q^37 - 10 * q^38 - 7 * q^39 + 5 * q^40 + 20 * q^41 + 3 * q^42 - 48 * q^43 + 14 * q^44 + 53 * q^45 + 4 * q^46 + 29 * q^47 + 28 * q^49 + 3 * q^50 - 122 * q^51 + 16 * q^52 - 5 * q^53 - 6 * q^54 + 56 * q^55 + 8 * q^56 - 10 * q^57 + 20 * q^59 - 19 * q^60 + 42 * q^61 - 21 * q^62 + 9 * q^63 - 10 * q^64 + 35 * q^65 + 24 * q^66 - 3 * q^67 - 2 * q^68 - 9 * q^69 - 19 * q^70 + 18 * q^71 - 8 * q^72 + 8 * q^73 - 64 * q^74 + 7 * q^75 + 40 * q^76 + 35 * q^77 - 2 * q^78 + q^79 + 59 * q^81 - 30 * q^82 + 11 * q^83 - 7 * q^84 - 125 * q^85 + 32 * q^86 - 31 * q^87 - 6 * q^88 - 34 * q^89 - 7 * q^90 + 10 * q^91 + 4 * q^92 + 24 * q^93 + 29 * q^94 + 5 * q^95 + 5 * q^96 + 90 * q^97 - 12 * q^98 + 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/950\mathbb{Z}\right)^\times$.

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{1}{5}\right)$	$1$

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 $

$2$	−0.809017	−	0.587785i	−0.572061	−	0.415627i
$2$	−0.809017	−	0.587785i	−0.572061	−	0.415627i
$3$	0.869807	+	2.67699i	0.502183	+	1.54556i	0.805455	+	0.592657i	$0.201921\pi$
$3$	0.869807	+	2.67699i	0.502183	+	1.54556i	−0.303271	+	0.952904i	$0.598079\pi$
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	2.22514	−	0.220827i	0.995112	−	0.0987569i
$5$	2.22514	−	0.220827i	0.995112	−	0.0987569i
$6$	0.869807	−	2.67699i	0.355097	−	1.09288i
$7$	0.0565513			0.0213744			0.0106872	−	0.999943i	$-0.496598\pi$
$7$	0.0565513			0.0213744			0.0106872	+	0.999943i	$0.496598\pi$
$8$	0.309017	−	0.951057i	0.109254	−	0.336249i
$9$	−3.98267	+	2.89358i	−1.32756	+	0.964525i
$10$	−1.92997	−	1.12925i	−0.610311	−	0.357100i
$11$	−0.352322	−	0.255977i	−0.106229	−	0.0771799i	0.533403	−	0.845862i	$-0.320913\pi$
$11$	−0.352322	−	0.255977i	−0.106229	−	0.0771799i	−0.639632	+	0.768682i	$0.720913\pi$
$12$	−2.27718	+	1.65447i	−0.657367	+	0.477605i
$13$	4.20677	−	3.05639i	1.16675	−	0.847691i	0.176131	−	0.984367i	$-0.443642\pi$
$13$	4.20677	−	3.05639i	1.16675	−	0.847691i	0.990616	+	0.136675i	$0.0436417\pi$
$14$	−0.0457509	−	0.0332400i	−0.0122274	−	0.00888376i
$15$	2.52659	+	5.76460i	0.652363	+	1.48841i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	−1.62839	+	5.01166i	−0.394942	+	1.21551i	0.534065	+	0.845443i	$0.320664\pi$
$17$	−1.62839	+	5.01166i	−0.394942	+	1.21551i	−0.929007	+	0.370062i	$0.879336\pi$
$18$	4.92285			1.16033
$19$	0.309017	−	0.951057i	0.0708934	−	0.218187i
$19$	0.309017	−	0.951057i	0.0708934	−	0.218187i
$20$	0.897624	+	2.04799i	0.200715	+	0.457945i
$21$	0.0491887	+	0.151387i	0.0107339	+	0.0330354i
$22$	0.134575	+	0.414179i	0.0286915	+	0.0883033i
$23$	5.63179	+	4.09173i	1.17431	+	0.853186i	0.991518	−	0.129966i	$-0.0414869\pi$
$23$	5.63179	+	4.09173i	1.17431	+	0.853186i	0.182791	+	0.983152i	$0.441487\pi$
$24$	2.81475			0.574559
$25$	4.90247	−	0.982741i	0.980494	−	0.196548i
$26$	−5.19985			−1.01977
$27$	−4.37867	−	3.18129i	−0.842676	−	0.612240i
$28$	0.0174753	+	0.0537834i	0.00330252	+	0.0101641i
$29$	1.16404	+	3.58253i	0.216156	+	0.665259i	0.999070	+	0.0431290i	$0.0137326\pi$
$29$	1.16404	+	3.58253i	0.216156	+	0.665259i	−0.782914	+	0.622130i	$0.786267\pi$
$30$	1.34429	−	6.14875i	0.245432	−	1.12260i
$31$	−1.31564	+	4.04913i	−0.236296	+	0.727244i	0.760651	+	0.649161i	$0.224880\pi$
$31$	−1.31564	+	4.04913i	−0.236296	+	0.727244i	−0.996947	+	0.0780832i	$0.975120\pi$
$32$	1.00000			0.176777
$33$	0.378796	−	1.16581i	0.0659399	−	0.202942i
$34$	4.26317	−	3.09737i	0.731128	−	0.531195i
$35$	0.125834	−	0.0124880i	0.0212699	−	0.00211087i
$36$	−3.98267	−	2.89358i	−0.663778	−	0.482263i
$37$	−3.12891	+	2.27328i	−0.514389	+	0.373725i	−0.814486	−	0.580183i	$-0.802981\pi$
$37$	−3.12891	+	2.27328i	−0.514389	+	0.373725i	0.300097	+	0.953909i	$0.402981\pi$
$38$	−0.809017	+	0.587785i	−0.131240	+	0.0953514i
$39$	11.8410	+	8.60300i	1.89608	+	1.37758i
$40$	0.477586	−	2.18447i	0.0755130	−	0.345395i
$41$	5.17267	−	3.75816i	0.807835	−	0.586926i	−0.105367	−	0.994433i	$-0.533602\pi$
$41$	5.17267	−	3.75816i	0.807835	−	0.586926i	0.913202	+	0.407507i	$0.133602\pi$
$42$	0.0491887	−	0.151387i	0.00758998	−	0.0233596i
$43$	−4.51307			−0.688237			−0.344119	−	0.938926i	$-0.611822\pi$
$43$	−4.51307			−0.688237			−0.344119	+	0.938926i	$0.611822\pi$
$44$	0.134575	−	0.414179i	0.0202879	−	0.0624399i
$45$	−8.22300	+	7.31808i	−1.22581	+	1.09092i
$46$	−2.15115	−	6.62057i	−0.317170	−	0.976149i
$47$	−1.93039	−	5.94112i	−0.281576	−	0.866601i	−0.987404	−	0.158218i	$-0.949425\pi$
$47$	−1.93039	−	5.94112i	−0.281576	−	0.866601i	0.705828	−	0.708383i	$-0.250575\pi$
$48$	−2.27718	−	1.65447i	−0.328683	−	0.238802i
$49$	−6.99680			−0.999543
$50$	−4.54382	−	2.08655i	−0.642594	−	0.295082i
$51$	−14.8325			−2.07697
$52$	4.20677	+	3.05639i	0.583373	+	0.423846i
$53$	−3.35168	−	10.3154i	−0.460389	−	1.41693i	−0.864690	−	0.502306i	$-0.832485\pi$
$53$	−3.35168	−	10.3154i	−0.460389	−	1.41693i	0.404300	−	0.914626i	$-0.367515\pi$
$54$	1.67250	+	5.14744i	0.227599	+	0.700478i
$55$	−0.840491	−	0.491781i	−0.113332	−	0.0663118i
$56$	0.0174753	−	0.0537834i	0.00233523	−	0.00718711i
$57$	2.81475			0.372823
$58$	1.16404	−	3.58253i	0.152845	−	0.470409i
$59$	−1.73559	+	1.26098i	−0.225955	+	0.164166i	−0.695003	−	0.719007i	$-0.744597\pi$
$59$	−1.73559	+	1.26098i	−0.225955	+	0.164166i	0.469048	+	0.883172i	$0.344597\pi$
$60$	−4.70170	+	4.18429i	−0.606986	+	0.540189i
$61$	−4.59488	−	3.33838i	−0.588314	−	0.427435i	0.253398	−	0.967362i	$-0.418452\pi$
$61$	−4.59488	−	3.33838i	−0.588314	−	0.427435i	−0.841712	+	0.539927i	$0.818452\pi$
$62$	3.44439	−	2.50250i	0.437438	−	0.317817i
$63$	−0.225225	+	0.163635i	−0.0283756	+	0.0206161i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	8.68570	−	7.72986i	1.07733	−	0.958772i
$66$	−0.991700	+	0.720512i	−0.122070	+	0.0886889i
$67$	−1.34969	+	4.15391i	−0.164890	+	0.507481i	−0.999028	−	0.0440755i	$-0.985966\pi$
$67$	−1.34969	+	4.15391i	−0.164890	+	0.507481i	0.834138	+	0.551556i	$0.185966\pi$
$68$	−5.26957			−0.639029
$69$	−6.05497	+	18.6353i	−0.728932	+	2.24342i
$70$	−0.109142	−	0.0638605i	−0.0130450	−	0.00763279i
$71$	3.82368	+	11.7681i	0.453788	+	1.39661i	0.872553	+	0.488520i	$0.162463\pi$
$71$	3.82368	+	11.7681i	0.453788	+	1.39661i	−0.418765	+	0.908095i	$0.637537\pi$
$72$	1.52124	+	4.68190i	0.179280	+	0.551768i
$73$	−0.601865	−	0.437281i	−0.0704430	−	0.0511798i	0.552006	−	0.833840i	$-0.313862\pi$
$73$	−0.601865	−	0.437281i	−0.0704430	−	0.0511798i	−0.622449	+	0.782660i	$0.713862\pi$
$74$	3.86754			0.449592
$75$	6.89499	+	12.2691i	0.796165	+	1.41671i
$76$	1.00000			0.114708
$77$	−0.0199242	−	0.0144758i	−0.00227058	−	0.00164967i
$78$	−4.52287	−	13.9199i	−0.512114	−	1.57612i
$79$	4.76599	+	14.6682i	0.536216	+	1.65030i	0.741007	+	0.671497i	$0.234349\pi$
$79$	4.76599	+	14.6682i	0.536216	+	1.65030i	−0.204791	+	0.978806i	$0.565651\pi$
$80$	−1.67037	+	1.48656i	−0.186754	+	0.166202i
$81$	0.143961	−	0.443067i	0.0159957	−	0.0492297i
$82$	−6.39377			−0.706074
$83$	3.99359	−	12.2910i	0.438353	−	1.34911i	−0.451257	−	0.892394i	$-0.649024\pi$
$83$	3.99359	−	12.2910i	0.438353	−	1.34911i	0.889611	−	0.456719i	$-0.150976\pi$
$84$	−0.128778	+	0.0935624i	−0.0140508	+	0.0102085i
$85$	−2.51667	+	11.5112i	−0.272971	+	1.24857i
$86$	3.65115	+	2.65272i	0.393714	+	0.286050i
$87$	−8.57792	+	6.23222i	−0.919649	+	0.668164i
$88$	−0.352322	+	0.255977i	−0.0375576	+	0.0272872i
$89$	−4.66650	−	3.39041i	−0.494648	−	0.359383i	0.312321	−	0.949977i	$-0.398894\pi$
$89$	−4.66650	−	3.39041i	−0.494648	−	0.359383i	−0.806969	+	0.590594i	$0.798894\pi$
$90$	10.9540	−	1.08710i	1.15465	−	0.114590i
$91$	0.237898	−	0.172843i	0.0249385	−	0.0181189i
$92$	−2.15115	+	6.62057i	−0.224273	+	0.690242i
$93$	−11.9838			−1.24266
$94$	−1.93039	+	5.94112i	−0.199104	+	0.612780i
$95$	0.477586	−	2.18447i	0.0489993	−	0.224122i
$96$	0.869807	+	2.67699i	0.0887743	+	0.273219i
$97$	−2.77241	−	8.53261i	−0.281496	−	0.866355i	−0.987427	−	0.158075i	$-0.949471\pi$
$97$	−2.77241	−	8.53261i	−0.281496	−	0.866355i	0.705931	−	0.708280i	$-0.250529\pi$
$98$	5.66053	+	4.11262i	0.571800	+	0.415437i
$99$	2.14387			0.215467
$100$	2.44959	+	4.35884i	0.244959	+	0.435884i
$101$	7.54268			0.750525			0.375262	−	0.926919i	$-0.377553\pi$
$101$	7.54268			0.750525			0.375262	+	0.926919i	$0.377553\pi$
$102$	11.9998	+	8.71835i	1.18815	+	0.863245i
$103$	−3.71446	−	11.4319i	−0.365997	−	1.12642i	−0.949355	−	0.314207i	$-0.898262\pi$
$103$	−3.71446	−	11.4319i	−0.365997	−	1.12642i	0.583358	−	0.812215i	$-0.301738\pi$
$104$	−1.60684	−	4.94535i	−0.157564	−	0.484931i
$105$	0.142882	+	0.325995i	0.0139439	+	0.0318139i
$106$	−3.35168	+	10.3154i	−0.325544	+	1.00192i
$107$	1.75569			0.169729			0.0848643	−	0.996393i	$-0.472954\pi$
$107$	1.75569			0.169729			0.0848643	+	0.996393i	$0.472954\pi$
$108$	1.67250	−	5.14744i	0.160937	−	0.495313i
$109$	−1.92549	+	1.39895i	−0.184429	+	0.133995i	−0.676169	−	0.736747i	$-0.736361\pi$
$109$	−1.92549	+	1.39895i	−0.184429	+	0.133995i	0.491740	+	0.870742i	$0.336361\pi$
$110$	0.390910	+	0.891888i	0.0372718	+	0.0850382i
$111$	−8.80710	−	6.39873i	−0.835933	−	0.607341i
$112$	−0.0457509	+	0.0332400i	−0.00432306	+	0.00314088i
$113$	5.36707	−	3.89940i	0.504891	−	0.366825i	−0.305991	−	0.952034i	$-0.598988\pi$
$113$	5.36707	−	3.89940i	0.504891	−	0.366825i	0.810882	+	0.585210i	$0.198988\pi$
$114$	−2.27718	−	1.65447i	−0.213278	−	0.154955i
$115$	13.4351	+	7.86102i	1.25283	+	0.733044i
$116$	−3.04748	+	2.21413i	−0.282952	+	0.205576i
$117$	−7.91023	+	24.3452i	−0.731301	+	2.25071i
$118$	2.14531			0.197492
$119$	−0.0920873	+	0.283415i	−0.00844163	+	0.0259807i
$120$	6.26322	−	0.621574i	0.571751	−	0.0567417i
$121$	−3.34058	−	10.2812i	−0.303689	−	0.934659i
$122$	1.75509	+	5.40161i	0.158898	+	0.489039i
$123$	14.5598	+	10.5783i	1.31281	+	0.953814i
$124$	−4.25750			−0.382335
$125$	10.6917	−	3.26933i	0.956291	−	0.292418i
$126$	0.278393			0.0248012
$127$	2.54460	+	1.84876i	0.225797	+	0.164051i	0.694932	−	0.719075i	$-0.255434\pi$
$127$	2.54460	+	1.84876i	0.225797	+	0.164051i	−0.469135	+	0.883126i	$0.655434\pi$
$128$	0.309017	+	0.951057i	0.0273135	+	0.0840623i
$129$	−3.92550	−	12.0815i	−0.345621	−	1.06371i
$130$	−11.5704	+	1.14827i	−1.01479	+	0.100710i
$131$	−1.95715	+	6.02350i	−0.170997	+	0.526275i	−0.999428	−	0.0338160i	$-0.989234\pi$
$131$	−1.95715	+	6.02350i	−0.170997	+	0.526275i	0.828431	+	0.560091i	$0.189234\pi$
$132$	1.22581			0.106693
$133$	0.0174753	−	0.0537834i	0.00151530	−	0.00466362i
$134$	3.53353	−	2.56726i	0.305250	−	0.221777i
$135$	−10.4457	−	6.11188i	−0.899020	−	0.526027i
$136$	4.26317	+	3.09737i	0.365564	+	0.265598i
$137$	17.1435	−	12.4555i	1.46466	−	1.06414i	0.482548	−	0.875870i	$-0.339711\pi$
$137$	17.1435	−	12.4555i	1.46466	−	1.06414i	0.982117	−	0.188272i	$-0.0602885\pi$
$138$	15.8521	−	11.5172i	1.34942	−	0.980412i
$139$	0.826951	+	0.600815i	0.0701411	+	0.0509605i	0.622303	−	0.782776i	$-0.286197\pi$
$139$	0.826951	+	0.600815i	0.0701411	+	0.0509605i	−0.552162	+	0.833737i	$0.686197\pi$
$140$	0.0507618	+	0.115817i	0.00429015	+	0.00978828i
$141$	14.2253	−	10.3353i	1.19798	−	0.870385i
$142$	3.82368	−	11.7681i	0.320876	−	0.987556i
$143$	−2.26450			−0.189367
$144$	1.52124	−	4.68190i	0.126770	−	0.390159i
$145$	3.38126	+	7.71457i	0.280798	+	0.640660i
$146$	0.229892	+	0.707535i	0.0190260	+	0.0585560i
$147$	−6.08587	−	18.7304i	−0.501954	−	1.54486i
$148$	−3.12891	−	2.27328i	−0.257194	−	0.186863i
$149$	−14.1703			−1.16087			−0.580436	−	0.814306i	$-0.697118\pi$
$149$	−14.1703			−1.16087			−0.580436	+	0.814306i	$0.697118\pi$
$150$	1.63341	−	13.9787i	0.133368	−	1.14135i
$151$	14.5202			1.18164			0.590818	−	0.806805i	$-0.298805\pi$
$151$	14.5202			1.18164			0.590818	+	0.806805i	$0.298805\pi$
$152$	−0.809017	−	0.587785i	−0.0656199	−	0.0476757i
$153$	−8.01629	−	24.6716i	−0.648079	−	1.99458i
$154$	0.00761039	+	0.0234224i	0.000613262	+	0.00188743i
$155$	−2.03332	+	9.30039i	−0.163321	+	0.747025i
$156$	−4.52287	+	13.9199i	−0.362119	+	1.11449i
$157$	−23.7734			−1.89732			−0.948662	−	0.316293i	$-0.897562\pi$
$157$	−23.7734			−1.89732			−0.948662	+	0.316293i	$0.897562\pi$
$158$	4.76599	−	14.6682i	0.379162	−	1.16694i
$159$	24.6990	−	17.9449i	1.95876	−	1.42312i
$160$	2.22514	−	0.220827i	0.175913	−	0.0174579i
$161$	0.318485	+	0.231393i	0.0251001	+	0.0182363i
$162$	−0.376895	+	0.273831i	−0.0296117	+	0.0215142i
$163$	1.49686	−	1.08753i	0.117243	−	0.0851819i	−0.527619	−	0.849481i	$-0.676915\pi$
$163$	1.49686	−	1.08753i	0.117243	−	0.0851819i	0.644862	+	0.764299i	$0.276915\pi$
$164$	5.17267	+	3.75816i	0.403917	+	0.293463i
$165$	0.585429	−	2.67774i	0.0455756	−	0.208462i
$166$	−10.4554	+	7.59626i	−0.811493	+	0.589584i
$167$	0.559458	−	1.72184i	0.0432922	−	0.133240i	−0.927074	−	0.374878i	$-0.877685\pi$
$167$	0.559458	−	1.72184i	0.0432922	−	0.133240i	0.970366	+	0.241638i	$0.0776847\pi$
$168$	0.159178			0.0122808
$169$	4.33811	−	13.3513i	0.333701	−	1.02703i
$170$	8.80215	−	7.83350i	0.675094	−	0.600802i
$171$	1.52124	+	4.68190i	0.116332	+	0.358034i
$172$	−1.39462	−	4.29219i	−0.106339	−	0.327276i
$173$	17.8700	+	12.9833i	1.35863	+	0.987105i	0.998530	+	0.0541928i	$0.0172586\pi$
$173$	17.8700	+	12.9833i	1.35863	+	0.987105i	0.360103	+	0.932912i	$0.382741\pi$
$174$	10.6029			0.803803
$175$	0.277241	−	0.0555752i	0.0209574	−	0.00420109i
$176$	0.435494			0.0328266
$177$	−4.88526	−	3.54935i	−0.367199	−	0.266785i
$178$	1.78245	+	5.48580i	0.133600	+	0.411178i
$179$	5.01833	+	15.4448i	0.375087	+	1.15440i	0.943420	+	0.331601i	$0.107589\pi$
$179$	5.01833	+	15.4448i	0.375087	+	1.15440i	−0.568332	+	0.822799i	$0.692411\pi$
$180$	−9.50096	−	5.55912i	−0.708159	−	0.414353i
$181$	6.76553	−	20.8221i	0.502878	−	1.54770i	−0.301432	−	0.953488i	$-0.597465\pi$
$181$	6.76553	−	20.8221i	0.502878	−	1.54770i	0.804310	−	0.594210i	$-0.202535\pi$
$182$	−0.294058			−0.0217970
$183$	4.94015	−	15.2042i	0.365186	−	1.12393i
$184$	5.63179	−	4.09173i	0.415181	−	0.301647i
$185$	−6.46024	+	5.74931i	−0.474966	+	0.422698i
$186$	9.69512	+	7.04392i	0.710881	+	0.516485i
$187$	1.85658	−	1.34889i	0.135767	−	0.0986404i
$188$	5.05382	−	3.67181i	0.368588	−	0.267795i
$189$	−0.247619	−	0.179906i	−0.0180117	−	0.0130862i
$190$	−1.67037	+	1.48656i	−0.121182	+	0.107846i
$191$	−0.676484	+	0.491495i	−0.0489487	+	0.0355633i	−0.611991	−	0.790865i	$-0.709631\pi$
$191$	−0.676484	+	0.491495i	−0.0489487	+	0.0355633i	0.563042	+	0.826428i	$0.309631\pi$
$192$	0.869807	−	2.67699i	0.0627729	−	0.193195i
$193$	−10.1676			−0.731877			−0.365939	−	0.930639i	$-0.619252\pi$
$193$	−10.1676			−0.731877			−0.365939	+	0.930639i	$0.619252\pi$
$194$	−2.77241	+	8.53261i	−0.199048	+	0.612606i
$195$	28.2477	+	16.5280i	2.02286	+	1.18360i
$196$	−2.16213	−	6.65435i	−0.154438	−	0.475311i
$197$	−6.74112	−	20.7470i	−0.480285	−	1.47816i	−0.838696	−	0.544600i	$-0.816681\pi$
$197$	−6.74112	−	20.7470i	−0.480285	−	1.47816i	0.358411	−	0.933564i	$-0.383319\pi$
$198$	−1.73443	−	1.26013i	−0.123260	−	0.0895539i
$199$	−21.7152			−1.53935			−0.769675	−	0.638436i	$-0.779582\pi$
$199$	−21.7152			−1.53935			−0.769675	+	0.638436i	$0.779582\pi$
$200$	0.580305	−	4.96621i	0.0410337	−	0.351164i
$201$	−12.2939			−0.867148
$202$	−6.10216	−	4.43348i	−0.429346	−	0.311938i
$203$	0.0658276	+	0.202597i	0.00462019	+	0.0142195i
$204$	−4.58351	−	14.1066i	−0.320910	−	0.987658i
$205$	10.6800	−	9.50469i	0.745923	−	0.663836i
$206$	−3.71446	+	11.4319i	−0.258799	+	0.796500i
$207$	−34.2693			−2.38188
$208$	−1.60684	+	4.94535i	−0.111414	+	0.342898i
$209$	−0.352322	+	0.255977i	−0.0243706	+	0.0177063i
$210$	0.0760212	−	0.347719i	0.00524596	−	0.0239949i
$211$	10.4474	+	7.59047i	0.719228	+	0.522549i	0.886137	−	0.463423i	$-0.153379\pi$
$211$	10.4474	+	7.59047i	0.719228	+	0.522549i	−0.166910	+	0.985972i	$0.553379\pi$
$212$	8.77482	−	6.37528i	0.602657	−	0.437856i
$213$	−28.1772	+	20.4719i	−1.93067	+	1.40271i
$214$	−1.42038	−	1.03197i	−0.0970952	−	0.0705438i
$215$	−10.0422	+	0.996609i	−0.684873	+	0.0679682i
$216$	−4.37867	+	3.18129i	−0.297931	+	0.216460i
$217$	−0.0744011	+	0.228983i	−0.00505068	+	0.0155444i
$218$	2.38004			0.161197
$219$	0.647090	−	1.99154i	0.0437263	−	0.134576i
$220$	0.207986	−	0.951324i	0.0140224	−	0.0641382i
$221$	8.46736	+	26.0599i	0.569576	+	1.75298i
$222$	3.36401	+	10.3534i	0.225778	+	0.694873i
$223$	−4.21153	−	3.05986i	−0.282025	−	0.204903i	0.437775	−	0.899085i	$-0.355767\pi$
$223$	−4.21153	−	3.05986i	−0.282025	−	0.204903i	−0.719800	+	0.694181i	$0.755767\pi$
$224$	0.0565513			0.00377849
$225$	−16.6813	+	18.0996i	−1.11208	+	1.20664i
$226$	−6.63406			−0.441291
$227$	2.32895	+	1.69208i	0.154578	+	0.112307i	0.662386	−	0.749163i	$-0.269544\pi$
$227$	2.32895	+	1.69208i	0.154578	+	0.112307i	−0.507808	+	0.861470i	$0.669544\pi$
$228$	0.869807	+	2.67699i	0.0576044	+	0.177288i
$229$	−4.82250	−	14.8421i	−0.318680	−	0.980796i	−0.974213	−	0.225629i	$-0.927556\pi$
$229$	−4.82250	−	14.8421i	−0.318680	−	0.980796i	0.655533	−	0.755166i	$-0.272444\pi$
$230$	−6.24861	−	14.2566i	−0.412021	−	0.940055i
$231$	0.0214214	−	0.0659282i	0.00140942	−	0.00433776i
$232$	3.76690			0.247309
$233$	3.62607	−	11.1599i	0.237552	−	0.731110i	−0.759221	−	0.650833i	$-0.774420\pi$
$233$	3.62607	−	11.1599i	0.237552	−	0.731110i	0.996773	−	0.0802765i	$-0.0255803\pi$
$234$	20.7093	−	15.0462i	1.35381	−	0.983598i
$235$	−5.60733	−	12.7935i	−0.365782	−	0.834557i
$236$	−1.73559	−	1.26098i	−0.112977	−	0.0820828i
$237$	−35.1212	+	25.5170i	−2.28137	+	1.65751i
$238$	0.241088	−	0.175160i	0.0156274	−	0.0113540i
$239$	14.2901	+	10.3824i	0.924349	+	0.671579i	0.944603	−	0.328216i	$-0.106447\pi$
$239$	14.2901	+	10.3824i	0.924349	+	0.671579i	−0.0202534	+	0.999795i	$0.506447\pi$
$240$	−5.43240	−	3.17856i	−0.350660	−	0.205175i
$241$	2.03592	−	1.47918i	0.131145	−	0.0952825i	−0.520279	−	0.853996i	$-0.674172\pi$
$241$	2.03592	−	1.47918i	0.131145	−	0.0952825i	0.651424	+	0.758714i	$0.274172\pi$
$242$	−3.34058	+	10.2812i	−0.214741	+	0.660904i
$243$	−14.9257			−0.957485
$244$	1.75509	−	5.40161i	0.112358	−	0.345803i
$245$	−15.5688	+	1.54508i	−0.994657	+	0.0987118i
$246$	−5.56134	−	17.1161i	−0.354578	−	1.09128i
$247$	−1.60684	−	4.94535i	−0.102241	−	0.314665i
$248$	3.44439	+	2.50250i	0.218719	+	0.158909i
$249$	36.3766			2.30527
$250$	−10.5714	−	3.63945i	−0.668594	−	0.230179i
$251$	−13.0616			−0.824443			−0.412222	−	0.911084i	$-0.635247\pi$
$251$	−13.0616			−0.824443			−0.412222	+	0.911084i	$0.635247\pi$
$252$	−0.225225	−	0.163635i	−0.0141878	−	0.0103081i
$253$	−0.936814	−	2.88322i	−0.0588970	−	0.181266i
$254$	−0.971950	−	2.99136i	−0.0609856	−	0.187694i
$255$	−33.0044	+	3.27543i	−2.06682	+	0.205115i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	8.30989			0.518357			0.259178	−	0.965829i	$-0.416548\pi$
$257$	8.30989			0.518357			0.259178	+	0.965829i	$0.416548\pi$
$258$	−3.92550	+	12.0815i	−0.244391	+	0.752159i
$259$	−0.176944	+	0.128557i	−0.0109947	+	0.00798814i
$260$	10.0356	+	5.87193i	0.622379	+	0.364162i
$261$	−15.0023	−	10.8998i	−0.928618	−	0.674681i
$262$	5.12389	−	3.72273i	0.316555	−	0.229991i
$263$	−12.7823	+	9.28687i	−0.788189	+	0.572653i	−0.907426	−	0.420213i	$-0.861955\pi$
$263$	−12.7823	+	9.28687i	−0.788189	+	0.572653i	0.119236	+	0.992866i	$0.461955\pi$
$264$	−0.991700	−	0.720512i	−0.0610349	−	0.0443445i
$265$	−9.73588	−	22.2131i	−0.598071	−	1.36454i
$266$	−0.0457509	+	0.0332400i	−0.00280517	+	0.00203807i
$267$	5.01715	−	15.4412i	0.307044	−	0.944986i
$268$	−4.36768			−0.266798
$269$	2.48779	−	7.65662i	0.151683	−	0.466832i	−0.846127	−	0.532982i	$-0.821071\pi$
$269$	2.48779	−	7.65662i	0.151683	−	0.466832i	0.997810	+	0.0661494i	$0.0210714\pi$
$270$	4.85825	+	11.0844i	0.295663	+	0.674577i
$271$	5.05945	+	15.5714i	0.307339	+	0.945893i	0.978794	+	0.204848i	$0.0656699\pi$
$271$	5.05945	+	15.5714i	0.307339	+	0.945893i	−0.671454	+	0.741046i	$0.734330\pi$
$272$	−1.62839	−	5.01166i	−0.0987354	−	0.303876i
$273$	0.669624	+	0.486510i	0.0405275	+	0.0294450i
$274$	−21.1905			−1.28016
$275$	−1.97881	−	0.908678i	−0.119327	−	0.0547953i
$276$	−19.5943			−1.17944
$277$	−8.62227	−	6.26445i	−0.518062	−	0.376394i	0.297811	−	0.954625i	$-0.403743\pi$
$277$	−8.62227	−	6.26445i	−0.518062	−	0.376394i	−0.815873	+	0.578231i	$0.803743\pi$
$278$	−0.315867	−	0.972139i	−0.0189445	−	0.0583050i
$279$	−6.47670	−	19.9332i	−0.387750	−	1.19337i
$280$	0.0270081	−	0.123535i	0.00161404	−	0.00738260i
$281$	6.75085	−	20.7770i	0.402722	−	1.23945i	−0.520060	−	0.854130i	$-0.674090\pi$
$281$	6.75085	−	20.7770i	0.402722	−	1.23945i	0.922782	−	0.385322i	$-0.125910\pi$
$282$	−17.5834			−1.04708
$283$	7.15713	−	22.0274i	0.425447	−	1.30939i	−0.477118	−	0.878839i	$-0.658319\pi$
$283$	7.15713	−	22.0274i	0.425447	−	1.30939i	0.902565	−	0.430553i	$-0.141681\pi$
$284$	−10.0105	+	7.27308i	−0.594016	+	0.431578i
$285$	6.26322	−	0.621574i	0.371001	−	0.0368189i
$286$	1.83202	+	1.33104i	0.108330	+	0.0787061i
$287$	0.292521	−	0.212529i	0.0172670	−	0.0125452i
$288$	−3.98267	+	2.89358i	−0.234681	+	0.170506i
$289$	−8.71177	−	6.32947i	−0.512457	−	0.372322i
$290$	1.79902	−	8.22867i	0.105642	−	0.483204i
$291$	20.4303	−	14.8434i	1.19764	−	0.870138i
$292$	0.229892	−	0.707535i	0.0134534	−	0.0414054i
$293$	33.7617			1.97238			0.986189	−	0.165625i	$-0.0529640\pi$
$293$	33.7617			1.97238			0.986189	+	0.165625i	$0.0529640\pi$
$294$	−6.08587	+	18.7304i	−0.354935	+	1.09238i
$295$	−3.58347	+	3.18912i	−0.208638	+	0.185678i
$296$	1.19514	+	3.67825i	0.0694658	+	0.213794i
$297$	0.728365	+	2.24168i	0.0422640	+	0.130075i
$298$	11.4640	+	8.32906i	0.664090	+	0.482490i
$299$	36.1976			2.09336
$300$	−9.53791	+	10.3489i	−0.550672	+	0.597493i
$301$	−0.255220			−0.0147106
$302$	−11.7471	−	8.53474i	−0.675968	−	0.491119i
$303$	6.56068	+	20.1917i	0.376901	+	1.15998i
$304$	0.309017	+	0.951057i	0.0177233	+	0.0545468i
$305$	−10.9614	−	6.41367i	−0.627651	−	0.367246i
$306$	−8.01629	+	24.6716i	−0.458261	+	1.41038i
$307$	7.41894			0.423421			0.211711	−	0.977332i	$-0.432097\pi$
$307$	7.41894			0.423421			0.211711	+	0.977332i	$0.432097\pi$
$308$	0.00761039	−	0.0234224i	0.000433642	−	0.00133461i
$309$	27.3723	−	19.8871i	1.55716	−	1.13134i
$310$	7.11163	−	6.32901i	0.403913	−	0.359464i
$311$	0.788062	+	0.572561i	0.0446869	+	0.0324669i	0.609904	−	0.792475i	$-0.291208\pi$
$311$	0.788062	+	0.572561i	0.0446869	+	0.0324669i	−0.565218	+	0.824942i	$0.691208\pi$
$312$	11.8410	−	8.60300i	0.670365	−	0.487049i
$313$	−9.29376	+	6.75231i	−0.525314	+	0.381663i	−0.818602	−	0.574361i	$-0.805251\pi$
$313$	−9.29376	+	6.75231i	−0.525314	+	0.381663i	0.293288	+	0.956024i	$0.405251\pi$
$314$	19.2331	+	13.9736i	1.08539	+	0.788579i
$315$	−0.465021	+	0.413847i	−0.0262010	+	0.0233176i
$316$	−12.4775	+	9.06546i	−0.701916	+	0.509972i
$317$	−2.90333	+	8.93553i	−0.163067	+	0.501870i	−0.998889	−	0.0471320i	$-0.984992\pi$
$317$	−2.90333	+	8.93553i	−0.163067	+	0.501870i	0.835821	+	0.549001i	$0.184992\pi$
$318$	−30.5296			−1.71202
$319$	0.506930	−	1.56017i	0.0283826	−	0.0873528i
$320$	−1.92997	−	1.12925i	−0.107889	−	0.0631270i
$321$	1.52711	+	4.69996i	0.0852349	+	0.262326i
$322$	−0.121650	−	0.374401i	−0.00677931	−	0.0208646i
$323$	4.26317	+	3.09737i	0.237209	+	0.172342i
$324$	0.465868			0.0258816
$325$	17.6199	−	19.1180i	0.977376	−	1.06048i
$326$	−1.85022			−0.102474
$327$	−5.41979	−	3.93771i	−0.299715	−	0.217756i
$328$	−1.97578	−	6.08083i	−0.109094	−	0.335758i
$329$	−0.109166	−	0.335978i	−0.00601850	−	0.0185231i
$330$	−2.04756	+	1.82223i	−0.112714	+	0.100311i
$331$	−0.918433	+	2.82664i	−0.0504816	+	0.155366i	−0.973119	−	0.230301i	$-0.926029\pi$
$331$	−0.918433	+	2.82664i	−0.0504816	+	0.155366i	0.922638	+	0.385668i	$0.126029\pi$
$332$	12.9235			0.709271
$333$	5.88347	−	18.1074i	0.322412	−	0.992282i
$334$	−1.46468	+	1.06415i	−0.0801438	+	0.0582279i
$335$	−2.08594	+	9.54106i	−0.113967	+	0.521284i
$336$	−0.128778	−	0.0935624i	−0.00702540	−	0.00510425i
$337$	8.03875	−	5.84050i	0.437899	−	0.318152i	−0.346901	−	0.937902i	$-0.612766\pi$
$337$	8.03875	−	5.84050i	0.437899	−	0.318152i	0.784799	+	0.619750i	$0.212766\pi$
$338$	−11.3573	+	8.25158i	−0.617757	+	0.448827i
$339$	15.1070	+	10.9759i	0.820498	+	0.596127i
$340$	−11.7255	+	1.16366i	−0.635905	+	0.0631085i
$341$	1.50001	−	1.08982i	0.0812302	−	0.0590172i
$342$	1.52124	−	4.68190i	0.0822594	−	0.253168i
$343$	−0.791537			−0.0427390
$344$	−1.39462	+	4.29219i	−0.0751927	+	0.231419i
$345$	−9.35796	+	42.8031i	−0.503816	+	2.30444i
$346$	−6.82575	−	21.0075i	−0.366954	−	1.12937i
$347$	−9.61593	−	29.5948i	−0.516210	−	1.58873i	−0.781070	−	0.624444i	$-0.785326\pi$
$347$	−9.61593	−	29.5948i	−0.516210	−	1.58873i	0.264860	−	0.964287i	$-0.414674\pi$
$348$	−8.57792	−	6.23222i	−0.459825	−	0.334082i
$349$	6.52379			0.349210			0.174605	−	0.984639i	$-0.444135\pi$
$349$	6.52379			0.349210			0.174605	+	0.984639i	$0.444135\pi$
$350$	−0.256959	−	0.117997i	−0.0137350	−	0.00630719i
$351$	−28.1433			−1.50218
$352$	−0.352322	−	0.255977i	−0.0187788	−	0.0136436i
$353$	7.44509	+	22.9136i	0.396262	+	1.21957i	0.927974	+	0.372644i	$0.121549\pi$
$353$	7.44509	+	22.9136i	0.396262	+	1.21957i	−0.531712	+	0.846925i	$0.678451\pi$
$354$	1.86600	+	5.74297i	0.0991770	+	0.305235i
$355$	11.1069	+	25.3412i	0.589495	+	1.34497i
$356$	1.78245	−	5.48580i	0.0944694	−	0.290747i
$357$	−0.838799			−0.0443939
$358$	5.01833	−	15.4448i	0.265227	−	0.816284i
$359$	25.8295	−	18.7662i	1.36323	−	0.990442i	0.364994	−	0.931010i	$-0.381071\pi$
$359$	25.8295	−	18.7662i	1.36323	−	0.990442i	0.998232	−	0.0594325i	$-0.0189291\pi$
$360$	4.41887	+	10.0819i	0.232895	+	0.531365i
$361$	−0.809017	−	0.587785i	−0.0425798	−	0.0309361i
$362$	−17.7124	+	12.8688i	−0.930942	+	0.676369i
$363$	24.6172	−	17.8854i	1.29207	−	0.938740i
$364$	0.237898	+	0.172843i	0.0124692	+	0.00905943i
$365$	−1.43580	−	0.840101i	−0.0751530	−	0.0439729i
$366$	−12.9335	+	9.39671i	−0.676043	+	0.491174i
$367$	10.2589	−	31.5738i	0.535513	−	1.64814i	−0.207026	−	0.978335i	$-0.566379\pi$
$367$	10.2589	−	31.5738i	0.535513	−	1.64814i	0.742539	−	0.669803i	$-0.233621\pi$
$368$	−6.96127			−0.362882
$369$	−9.72647	+	29.9350i	−0.506340	+	1.55835i
$370$	8.60581	−	0.854058i	0.447395	−	0.0444003i
$371$	−0.189542	−	0.583350i	−0.00984053	−	0.0302860i
$372$	−3.70321	−	11.3973i	−0.192002	−	0.590922i
$373$	−1.81093	−	1.31572i	−0.0937663	−	0.0681252i	0.539914	−	0.841720i	$-0.318457\pi$
$373$	−1.81093	−	1.31572i	−0.0937663	−	0.0681252i	−0.633681	+	0.773595i	$0.718457\pi$
$374$	−2.29486			−0.118665
$375$	18.0516	+	25.7778i	0.932183	+	1.33116i
$376$	−6.24686			−0.322157
$377$	15.8465	+	11.5131i	0.816134	+	0.592956i
$378$	0.0945822	+	0.291094i	0.00486478	+	0.0149723i
$379$	−11.0847	−	34.1151i	−0.569380	−	1.75237i	−0.654563	−	0.756008i	$-0.727147\pi$
$379$	−11.0847	−	34.1151i	−0.569380	−	1.75237i	0.0851824	−	0.996365i	$-0.472853\pi$
$380$	2.22514	−	0.220827i	0.114147	−	0.0113282i
$381$	−2.73580	+	8.41993i	−0.140159	+	0.431366i
$382$	0.836180			0.0427827
$383$	−1.32642	+	4.08229i	−0.0677768	+	0.208596i	−0.979209	−	0.202855i	$-0.934978\pi$
$383$	−1.32642	+	4.08229i	−0.0677768	+	0.208596i	0.911432	+	0.411451i	$0.134978\pi$
$384$	−2.27718	+	1.65447i	−0.116207	+	0.0844294i
$385$	−0.0475308	−	0.0278109i	−0.00242240	−	0.00141737i
$386$	8.22573	+	5.97634i	0.418679	+	0.304188i
$387$	17.9741	−	13.0589i	0.913673	−	0.663822i
$388$	7.25827	−	5.27344i	0.368483	−	0.267719i
$389$	−28.3848	−	20.6228i	−1.43917	−	1.04562i	−0.988215	−	0.153070i	$-0.951084\pi$
$389$	−28.3848	−	20.6228i	−1.43917	−	1.04562i	−0.450953	−	0.892548i	$-0.648916\pi$
$390$	−13.1379	−	29.9750i	−0.665263	−	1.51784i
$391$	−29.6771	+	21.5617i	−1.50084	+	1.09042i
$392$	−2.16213	+	6.65435i	−0.109204	+	0.336096i
$393$	−17.8272			−0.899263
$394$	−6.74112	+	20.7470i	−0.339612	+	1.04522i
$395$	13.8441	+	31.5863i	0.696574	+	1.58928i
$396$	0.662492	+	2.03894i	0.0332915	+	0.102461i
$397$	0.752211	+	2.31507i	0.0377524	+	0.116190i	0.968157	−	0.250345i	$-0.0805440\pi$
$397$	0.752211	+	2.31507i	0.0377524	+	0.116190i	−0.930404	+	0.366535i	$0.880544\pi$
$398$	17.5680	+	12.7639i	0.880602	+	0.639795i
$399$	0.159178			0.00796886
$400$	−3.38854	+	3.67665i	−0.169427	+	0.183833i
$401$	−4.11308			−0.205397			−0.102699	−	0.994713i	$-0.532748\pi$
$401$	−4.11308			−0.205397			−0.102699	+	0.994713i	$0.532748\pi$
$402$	9.94601	+	7.22620i	0.496062	+	0.360410i
$403$	6.84113	+	21.0548i	0.340781	+	1.04882i
$404$	2.33082	+	7.17352i	0.115962	+	0.356896i
$405$	0.222492	−	1.01768i	0.0110557	−	0.0505687i
$406$	0.0658276	−	0.202597i	0.00326697	−	0.0100547i
$407$	1.68429			0.0834872
$408$	−4.58351	+	14.1066i	−0.226917	+	0.698380i
$409$	−15.7502	+	11.4432i	−0.778796	+	0.565828i	−0.904617	−	0.426225i	$-0.859843\pi$
$409$	−15.7502	+	11.4432i	−0.778796	+	0.565828i	0.125821	+	0.992053i	$0.459843\pi$
$410$	−14.2270	+	1.41192i	−0.702622	+	0.0697296i
$411$	48.2546	+	35.0590i	2.38023	+	1.72934i
$412$	9.72458	−	7.06532i	0.479096	−	0.348083i
$413$	−0.0981498	+	0.0713100i	−0.00482964	+	0.00350894i
$414$	27.7244	+	20.1430i	1.36258	+	0.989973i
$415$	6.17210	−	28.2311i	0.302976	−	1.38581i
$416$	4.20677	−	3.05639i	0.206254	−	0.149852i
$417$	−0.889088	+	2.73633i	−0.0435389	+	0.133999i
$418$	0.435494			0.0213007
$419$	8.28629	−	25.5026i	0.404812	−	1.24588i	−0.516241	−	0.856443i	$-0.672669\pi$
$419$	8.28629	−	25.5026i	0.404812	−	1.24588i	0.921052	−	0.389439i	$-0.127331\pi$
$420$	−0.265887	+	0.236627i	−0.0129739	+	0.0115462i
$421$	3.58663	+	11.0385i	0.174802	+	0.537984i	0.999624	−	0.0274075i	$-0.00872518\pi$
$421$	3.58663	+	11.0385i	0.174802	+	0.537984i	−0.824823	+	0.565391i	$0.808725\pi$
$422$	−3.99055	−	12.2816i	−0.194257	−	0.597861i
$423$	24.8792	+	18.0758i	1.20967	+	0.878874i
$424$	−10.8463			−0.526742
$425$	−3.05795	+	26.1698i	−0.148333	+	1.26942i
$426$	34.8289			1.68747
$427$	−0.259846	−	0.188789i	−0.0125748	−	0.00913616i
$428$	0.542537	+	1.66976i	0.0262245	+	0.0807107i
$429$	−1.96968	−	6.06205i	−0.0950971	−	0.292679i
$430$	8.71011	+	5.09639i	0.420039	+	0.245770i
$431$	−2.98359	+	9.18254i	−0.143714	+	0.442307i	−0.996843	−	0.0793927i	$-0.974702\pi$
$431$	−2.98359	+	9.18254i	−0.143714	+	0.442307i	0.853129	+	0.521700i	$0.174702\pi$
$432$	5.41234			0.260401
$433$	−2.50049	+	7.69573i	−0.120166	+	0.369833i	−0.992989	−	0.118203i	$-0.962287\pi$
$433$	−2.50049	+	7.69573i	−0.120166	+	0.369833i	0.872823	+	0.488036i	$0.162287\pi$
$434$	0.194785	−	0.141519i	0.00934996	−	0.00679315i
$435$	−17.7108	+	15.7618i	−0.849168	+	0.755720i
$436$	−1.92549	−	1.39895i	−0.0922144	−	0.0669977i
$437$	5.63179	−	4.09173i	0.269405	−	0.195734i
$438$	−1.69410	+	1.23084i	−0.0809474	+	0.0588117i
$439$	−3.11423	−	2.26262i	−0.148634	−	0.107989i	0.510983	−	0.859591i	$-0.329281\pi$
$439$	−3.11423	−	2.26262i	−0.148634	−	0.107989i	−0.659617	+	0.751602i	$0.729281\pi$
$440$	−0.727438	+	0.647386i	−0.0346793	+	0.0308629i
$441$	27.8659	−	20.2458i	1.32695	−	0.964085i
$442$	8.46736	−	26.0599i	0.402751	−	1.23954i
$443$	28.4879			1.35350			0.676750	−	0.736213i	$-0.263388\pi$
$443$	28.4879			1.35350			0.676750	+	0.736213i	$0.263388\pi$
$444$	3.36401	−	10.3534i	0.159649	−	0.491349i
$445$	−11.1323	−	6.51364i	−0.527722	−	0.308776i
$446$	1.60866	+	4.95095i	0.0761724	+	0.234434i
$447$	−12.3254	−	37.9336i	−0.582971	−	1.79420i
$448$	−0.0457509	−	0.0332400i	−0.00216153	−	0.00157044i
$449$	9.77169			0.461155			0.230577	−	0.973054i	$-0.425939\pi$
$449$	9.77169			0.461155			0.230577	+	0.973054i	$0.425939\pi$
$450$	24.1341	−	4.83788i	1.13769	−	0.228060i
$451$	−2.78445			−0.131114
$452$	5.36707	+	3.89940i	0.252446	+	0.183412i
$453$	12.6298	+	38.8704i	0.593397	+	1.82629i
$454$	−0.889580	−	2.73784i	−0.0417500	−	0.128493i
$455$	0.491187	−	0.437134i	0.0230272	−	0.0204931i
$456$	0.869807	−	2.67699i	0.0407324	−	0.125362i
$457$	−24.8298			−1.16149			−0.580745	−	0.814085i	$-0.697239\pi$
$457$	−24.8298			−1.16149			−0.580745	+	0.814085i	$0.697239\pi$
$458$	−4.82250	+	14.8421i	−0.225341	+	0.693527i
$459$	23.0737	−	16.7640i	1.07699	−	0.782478i
$460$	−3.32461	+	15.2067i	−0.155011	+	0.709016i
$461$	27.5177	+	19.9928i	1.28163	+	0.931156i	0.999601	−	0.0282515i	$-0.00899394\pi$
$461$	27.5177	+	19.9928i	1.28163	+	0.931156i	0.282025	+	0.959407i	$0.408994\pi$
$462$	−0.0560819	+	0.0407459i	−0.00260917	+	0.00189567i
$463$	−4.97300	+	3.61310i	−0.231115	+	0.167915i	−0.697316	−	0.716764i	$-0.745622\pi$
$463$	−4.97300	+	3.61310i	−0.231115	+	0.167915i	0.466201	+	0.884679i	$0.345622\pi$
$464$	−3.04748	−	2.21413i	−0.141476	−	0.102788i
$465$	−26.6657	+	2.64635i	−1.23659	+	0.122722i
$466$	−9.49318	+	6.89720i	−0.439763	+	0.319507i
$467$	−0.544463	+	1.67568i	−0.0251947	+	0.0775414i	−0.962863	−	0.269989i	$-0.912980\pi$
$467$	−0.544463	+	1.67568i	−0.0251947	+	0.0775414i	0.937669	+	0.347531i	$0.112980\pi$
$468$	−25.5980			−1.18327
$469$	−0.0763265	+	0.234909i	−0.00352443	+	0.0108471i
$470$	−2.98341	+	13.6461i	−0.137615	+	0.629447i
$471$	−20.6783	−	63.6412i	−0.952804	−	2.93243i
$472$	0.662936	+	2.04031i	0.0305141	+	0.0939128i
$473$	1.59006	+	1.15524i	0.0731108	+	0.0531181i
$474$	43.4122			1.99399
$475$	0.580305	−	4.96621i	0.0266262	−	0.227865i
$476$	−0.298001			−0.0136588
$477$	43.1971	+	31.3845i	1.97786	+	1.43700i
$478$	−5.45833	−	16.7990i	−0.249658	−	0.768369i
$479$	−8.99784	−	27.6925i	−0.411122	−	1.26530i	−0.915674	−	0.401922i	$-0.868342\pi$
$479$	−8.99784	−	27.6925i	−0.411122	−	1.26530i	0.504552	−	0.863381i	$-0.331658\pi$
$480$	2.52659	+	5.76460i	0.115323	+	0.263117i
$481$	−6.21452	+	19.1263i	−0.283358	+	0.872086i
$482$	−2.51654			−0.114625
$483$	−0.342416	+	1.05385i	−0.0155805	+	0.0479517i
$484$	8.74575	−	6.35416i	0.397534	−	0.288826i
$485$	−8.05323	−	18.3740i	−0.365678	−	0.834321i
$486$	12.0752	+	8.77311i	0.547740	+	0.397956i
$487$	−6.64449	+	4.82750i	−0.301091	+	0.218755i	−0.728064	−	0.685509i	$-0.759580\pi$
$487$	−6.64449	+	4.82750i	−0.301091	+	0.218755i	0.426974	+	0.904264i	$0.359580\pi$
$488$	−4.59488	+	3.33838i	−0.208001	+	0.151121i
$489$	4.21328	+	3.06113i	0.190531	+	0.138429i
$490$	13.5036	+	7.90114i	0.610032	+	0.356937i
$491$	−30.6766	+	22.2879i	−1.38442	+	1.00584i	−0.387966	+	0.921674i	$0.626822\pi$
$491$	−30.6766	+	22.2879i	−1.38442	+	1.00584i	−0.996452	+	0.0841646i	$0.973178\pi$
$492$	−5.56134	+	17.1161i	−0.250725	+	0.771652i
$493$	−19.8499			−0.893995
$494$	−1.60684	+	4.94535i	−0.0722952	+	0.222502i
$495$	4.77040	−	0.473424i	0.214414	−	0.0212788i
$496$	−1.31564	−	4.04913i	−0.0590740	−	0.181811i
$497$	0.216234	+	0.665500i	0.00969942	+	0.0298517i
$498$	−29.4293	−	21.3816i	−1.31876	−	0.958133i
$499$	−34.3203			−1.53639			−0.768193	−	0.640218i	$-0.778844\pi$
$499$	−34.3203			−1.53639			−0.768193	+	0.640218i	$0.778844\pi$
$500$	6.41322	+	9.15809i	0.286808	+	0.409562i
$501$	5.09596			0.227671
$502$	10.5671	+	7.67744i	0.471632	+	0.342661i
$503$	−0.960139	−	2.95500i	−0.0428105	−	0.131757i	0.927367	−	0.374153i	$-0.122067\pi$
$503$	−0.960139	−	2.95500i	−0.0428105	−	0.131757i	−0.970177	+	0.242396i	$0.922067\pi$
$504$	0.0860282	+	0.264768i	0.00383200	+	0.0117937i
$505$	16.7835	−	1.66563i	0.746856	−	0.0741195i
$506$	−0.936814	+	2.88322i	−0.0416464	+	0.128175i
$507$	39.5147			1.75491
$508$	−0.971950	+	2.99136i	−0.0431233	+	0.132720i
$509$	−11.2572	+	8.17881i	−0.498965	+	0.362519i	−0.808622	−	0.588329i	$-0.799786\pi$
$509$	−11.2572	+	8.17881i	−0.498965	+	0.362519i	0.309656	+	0.950849i	$0.399786\pi$
$510$	28.6264	+	16.7496i	1.26760	+	0.741687i
$511$	−0.0340362	−	0.0247288i	−0.00150567	−	0.00109394i
$512$	−0.809017	+	0.587785i	−0.0357538	+	0.0259767i
$513$	−4.37867	+	3.18129i	−0.193323	+	0.140457i
$514$	−6.72284	−	4.88443i	−0.296532	−	0.215443i
$515$	−10.7897	−	24.6174i	−0.475449	−	1.08477i
$516$	10.2771	−	7.46675i	0.452424	−	0.328705i
$517$	−0.840672	+	2.58732i	−0.0369727	+	0.113790i
$518$	0.218714			0.00960975
$519$	−19.2128	+	59.1309i	−0.843349	+	2.59556i
$520$	−4.66751	−	10.6492i	−0.204684	−	0.467000i
$521$	3.09749	+	9.53309i	0.135703	+	0.417652i	0.995699	−	0.0926497i	$-0.0295337\pi$
$521$	3.09749	+	9.53309i	0.135703	+	0.417652i	−0.859995	+	0.510302i	$0.829534\pi$
$522$	5.73036	+	17.6362i	0.250811	+	0.771918i
$523$	15.8912	+	11.5457i	0.694875	+	0.504856i	0.878259	−	0.478185i	$-0.158705\pi$
$523$	15.8912	+	11.5457i	0.694875	+	0.504856i	−0.183384	+	0.983041i	$0.558705\pi$
$524$	−6.33348			−0.276679
$525$	0.389920	+	0.693832i	0.0170175	+	0.0302813i
$526$	15.7998			0.688903
$527$	−18.1505	−	13.1871i	−0.790646	−	0.574438i
$528$	0.378796	+	1.16581i	0.0164850	+	0.0507355i
$529$	7.86737	+	24.2133i	0.342060	+	1.05275i
$530$	−5.18003	+	23.6934i	−0.225006	+	1.02917i
$531$	3.26353	−	10.0441i	0.141625	−	0.435878i
$532$	0.0565513			0.00245181
$533$	10.2738	−	31.6194i	0.445006	−	1.36959i
$534$	−13.1351	+	9.54318i	−0.568410	+	0.412974i
$535$	3.90664	−	0.387703i	0.168899	−	0.0167619i
$536$	3.53353	+	2.56726i	0.152625	+	0.110889i
$537$	−36.9807	+	26.8680i	−1.59583	+	1.15944i
$538$	−6.51311	+	4.73205i	−0.280800	+	0.204013i
$539$	2.46513	+	1.79102i	0.106181	+	0.0771447i
$540$	2.58486	−	11.8231i	0.111235	−	0.508785i
$541$	−22.4857	+	16.3368i	−0.966736	+	0.702375i	−0.954705	−	0.297553i	$-0.903829\pi$
$541$	−22.4857	+	16.3368i	−0.966736	+	0.702375i	−0.0120303	+	0.999928i	$0.503829\pi$
$542$	5.05945	−	15.5714i	0.217322	−	0.668848i
$543$	61.6254			2.64460
$544$	−1.62839	+	5.01166i	−0.0698165	+	0.214873i
$545$	−3.97556	+	3.53806i	−0.170294	+	0.151554i
$546$	−0.255774	−	0.787191i	−0.0109461	−	0.0336886i
$547$	−8.94016	−	27.5150i	−0.382254	−	1.17646i	−0.938453	−	0.345407i	$-0.887741\pi$
$547$	−8.94016	−	27.5150i	−0.382254	−	1.17646i	0.556199	−	0.831049i	$-0.312259\pi$
$548$	17.1435	+	12.4555i	0.732332	+	0.532071i
$549$	27.9597			1.19329
$550$	1.06678	+	1.89825i	0.0454877	+	0.0809416i
$551$	3.76690			0.160475
$552$	15.8521	+	11.5172i	0.674710	+	0.490206i
$553$	0.269523	+	0.829506i	0.0114613	+	0.0352742i
$554$	3.29342	+	10.1361i	0.139924	+	0.430641i
$555$	−21.0100	−	12.2932i	−0.891826	−	0.521818i
$556$	−0.315867	+	0.972139i	−0.0133957	+	0.0412279i
$557$	26.3235			1.11536			0.557681	−	0.830055i	$-0.311691\pi$
$557$	26.3235			1.11536			0.557681	+	0.830055i	$0.311691\pi$
$558$	−6.47670	+	19.9332i	−0.274180	+	0.843840i
$559$	−18.9854	+	13.7937i	−0.802999	+	0.583413i
$560$	−0.0944618	+	0.0840666i	−0.00399174	+	0.00355246i
$561$	5.22583	+	3.79679i	0.220635	+	0.160300i
$562$	−17.6740	+	12.8409i	−0.745531	+	0.541660i
$563$	−13.8173	+	10.0388i	−0.582328	+	0.423086i	−0.839563	−	0.543263i	$-0.817189\pi$
$563$	−13.8173	+	10.0388i	−0.582328	+	0.423086i	0.257235	+	0.966349i	$0.417189\pi$
$564$	14.2253	+	10.3353i	0.598991	+	0.435193i
$565$	11.0814	−	9.86190i	0.466196	−	0.414893i
$566$	−18.7376	+	13.6137i	−0.787601	+	0.572225i
$567$	0.00814119	−	0.0250560i	0.000341898	−	0.00105225i
$568$	12.3737			0.519189
$569$	−1.71303	+	5.27217i	−0.0718140	+	0.221021i	−0.980521	−	0.196413i	$-0.937071\pi$
$569$	−1.71303	+	5.27217i	−0.0718140	+	0.221021i	0.908707	+	0.417434i	$0.137071\pi$
$570$	−5.43240	−	3.17856i	−0.227538	−	0.133135i
$571$	6.57138	+	20.2246i	0.275004	+	0.846374i	0.989218	+	0.146448i	$0.0467840\pi$
$571$	6.57138	+	20.2246i	0.275004	+	0.846374i	−0.714215	+	0.699927i	$0.753216\pi$
$572$	−0.699770	−	2.15367i	−0.0292588	−	0.0900495i
$573$	−1.90414	−	1.38344i	−0.0795465	−	0.0577939i
$574$	−0.361576			−0.0150919
$575$	31.6308	+	14.5250i	1.31910	+	0.605735i
$576$	4.92285			0.205119
$577$	33.8171	+	24.5695i	1.40782	+	1.02284i	0.993635	+	0.112651i	$0.0359343\pi$
$577$	33.8171	+	24.5695i	1.40782	+	1.02284i	0.414188	+	0.910191i	$0.364066\pi$
$578$	3.32760	+	10.2413i	0.138410	+	0.425982i
$579$	−8.84382	−	27.2185i	−0.367537	−	1.13116i
$580$	−6.29213	+	5.59970i	−0.261266	+	0.232515i
$581$	0.225843	−	0.695072i	0.00936953	−	0.0288364i
$582$	−25.2532			−1.04678
$583$	−1.45964	+	4.49231i	−0.0604520	+	0.186052i
$584$	−0.601865	+	0.437281i	−0.0249054	+	0.0180948i
$585$	−12.2253	+	55.9182i	−0.505453	+	2.31193i
$586$	−27.3138	−	19.8446i	−1.12832	−	0.819773i
$587$	−3.59424	+	2.61137i	−0.148350	+	0.107783i	−0.659485	−	0.751718i	$-0.729225\pi$
$587$	−3.59424	+	2.61137i	−0.148350	+	0.107783i	0.511134	+	0.859501i	$0.329225\pi$
$588$	15.9330	−	11.5760i	0.657066	−	0.477387i
$589$	3.44439	+	2.50250i	0.141924	+	0.103114i
$590$	4.77360	−	0.473742i	0.196526	−	0.0195036i
$591$	49.6761	−	36.0918i	2.04340	−	1.48462i
$592$	1.19514	−	3.67825i	0.0491198	−	0.151175i
$593$	−37.5512			−1.54204			−0.771021	−	0.636809i	$-0.780254\pi$
$593$	−37.5512			−1.54204			−0.771021	+	0.636809i	$0.780254\pi$
$594$	0.728365	−	2.24168i	0.0298852	−	0.0919772i
$595$	−0.142321	+	0.650974i	−0.00583459	+	0.0266873i
$596$	−4.37885	−	13.4767i	−0.179365	−	0.552028i
$597$	−18.8880	−	58.1314i	−0.773036	−	2.37916i
$598$	−29.2845	−	21.2764i	−1.19753	−	0.870057i
$599$	−32.6178			−1.33273			−0.666364	−	0.745627i	$-0.732150\pi$
$599$	−32.6178			−1.33273			−0.666364	+	0.745627i	$0.732150\pi$
$600$	13.7993	−	2.76618i	0.563352	−	0.112929i
$601$	15.3528			0.626253			0.313127	−	0.949711i	$-0.398624\pi$
$601$	15.3528			0.626253			0.313127	+	0.949711i	$0.398624\pi$
$602$	0.206477	+	0.150015i	0.00841539	+	0.00611414i
$603$	−6.64430	−	20.4490i	−0.270577	−	0.832750i
$604$	4.48698	+	13.8095i	0.182573	+	0.561901i
$605$	−9.70363	−	22.1395i	−0.394509	−	0.900099i
$606$	6.56068	−	20.1917i	0.266509	−	0.820231i
$607$	19.2694			0.782122			0.391061	−	0.920365i	$-0.372108\pi$
$607$	19.2694			0.782122			0.391061	+	0.920365i	$0.372108\pi$
$608$	0.309017	−	0.951057i	0.0125323	−	0.0385704i
$609$	−0.485092	+	0.352440i	−0.0196569	+	0.0142816i
$610$	5.09813	+	11.6317i	0.206417	+	0.470956i
$611$	−26.2791	−	19.0929i	−1.06314	−	0.772415i
$612$	20.9869	−	15.2479i	0.848346	−	0.616359i
$613$	31.3149	−	22.7516i	1.26480	−	0.918930i	0.265816	−	0.964024i	$-0.414359\pi$
$613$	31.3149	−	22.7516i	1.26480	−	0.918930i	0.998983	+	0.0450940i	$0.0143587\pi$
$614$	−6.00204	−	4.36074i	−0.242223	−	0.175985i
$615$	34.7335	+	20.3230i	1.40059	+	0.819502i
$616$	−0.0199242	+	0.0144758i	−0.000802771	+	0.000583247i
$617$	−6.21562	+	19.1297i	−0.250232	+	0.770134i	0.744500	+	0.667622i	$0.232688\pi$
$617$	−6.21562	+	19.1297i	−0.250232	+	0.770134i	−0.994732	+	0.102511i	$0.967312\pi$
$618$	−33.8340			−1.36100
$619$	−8.45718	+	26.0285i	−0.339923	+	1.04618i	0.624323	+	0.781166i	$0.285375\pi$
$619$	−8.45718	+	26.0285i	−0.339923	+	1.04618i	−0.964246	+	0.265009i	$0.914625\pi$
$620$	−9.47353	+	0.940172i	−0.380466	+	0.0377582i
$621$	−11.6428	−	35.8327i	−0.467208	−	1.43792i
$622$	−0.301013	−	0.926422i	−0.0120695	−	0.0371462i
$623$	−0.263897	−	0.191732i	−0.0105728	−	0.00768159i
$624$	−14.6363			−0.585921
$625$	23.0684	−	9.63572i	0.922738	−	0.385429i
$626$	11.4877			0.459142
$627$	−0.991700	−	0.720512i	−0.0396047	−	0.0287745i
$628$	−7.34638	−	22.6098i	−0.293153	−	0.902231i
$629$	−6.29785	−	19.3828i	−0.251112	−	0.772842i
$630$	0.619463	−	0.0614767i	0.0246800	−	0.00244929i
$631$	5.87051	−	18.0676i	0.233701	−	0.719259i	−0.763590	−	0.645702i	$-0.776565\pi$
$631$	5.87051	−	18.0676i	0.233701	−	0.719259i	0.997291	−	0.0735571i	$-0.0234351\pi$
$632$	15.4231			0.613497
$633$	−11.2324	+	34.5698i	−0.446448	+	1.37403i
$634$	7.60102	−	5.52246i	0.301875	−	0.219325i
$635$	6.07034	+	3.55183i	0.240894	+	0.140950i
$636$	24.6990	+	17.9449i	0.979378	+	0.711560i
$637$	−29.4339	+	21.3850i	−1.16621	+	0.847304i
$638$	−1.32716	+	0.964239i	−0.0525428	+	0.0381746i
$639$	−49.2803	−	35.8042i	−1.94950	−	1.41639i
$640$	0.897624	+	2.04799i	0.0354817	+	0.0809540i
$641$	−21.5657	+	15.6684i	−0.851794	+	0.618864i	−0.925640	−	0.378405i	$-0.876473\pi$
$641$	−21.5657	+	15.6684i	−0.851794	+	0.618864i	0.0738463	+	0.997270i	$0.476473\pi$
$642$	1.52711	−	4.69996i	0.0602701	−	0.185492i
$643$	15.5556			0.613452			0.306726	−	0.951798i	$-0.400767\pi$
$643$	15.5556			0.613452			0.306726	+	0.951798i	$0.400767\pi$
$644$	−0.121650	+	0.374401i	−0.00479370	+	0.0147535i
$645$	−11.4027	−	26.0160i	−0.448981	−	1.02438i
$646$	−1.62839	−	5.01166i	−0.0640680	−	0.197181i
$647$	6.61538	+	20.3600i	0.260077	+	0.800436i	0.992787	+	0.119894i	$0.0382555\pi$
$647$	6.61538	+	20.3600i	0.260077	+	0.800436i	−0.732709	+	0.680542i	$0.761744\pi$
$648$	−0.376895	−	0.273831i	−0.0148059	−	0.0107571i
$649$	0.934268			0.0366732
$650$	−25.4921	+	5.11010i	−0.999883	+	0.200435i
$651$	−0.677700			−0.0265612
$652$	1.49686	+	1.08753i	0.0586214	+	0.0425910i
$653$	9.37686	+	28.8590i	0.366945	+	1.12934i	0.948754	+	0.316015i	$0.102345\pi$
$653$	9.37686	+	28.8590i	0.366945	+	1.12934i	−0.581809	+	0.813325i	$0.697655\pi$
$654$	2.07018	+	6.37135i	0.0809503	+	0.249139i
$655$	−3.02478	+	13.8353i	−0.118188	+	0.540590i
$656$	−1.97578	+	6.08083i	−0.0771414	+	0.237417i
$657$	3.66233			0.142881
$658$	−0.109166	+	0.335978i	−0.00425572	+	0.0130978i
$659$	10.6149	−	7.71215i	0.413496	−	0.300423i	−0.361519	−	0.932365i	$-0.617742\pi$
$659$	10.6149	−	7.71215i	0.413496	−	0.300423i	0.775016	+	0.631942i	$0.217742\pi$
$660$	2.72759	−	0.270692i	0.106171	−	0.0105367i
$661$	10.3040	+	7.48626i	0.400777	+	0.291182i	0.769858	−	0.638216i	$-0.220327\pi$
$661$	10.3040	+	7.48626i	0.400777	+	0.291182i	−0.369080	+	0.929398i	$0.620327\pi$
$662$	2.40449	−	1.74696i	0.0934531	−	0.0678976i
$663$	−62.3970	+	45.3341i	−2.42330	+	1.76063i
$664$	−10.4554	−	7.59626i	−0.405746	−	0.294792i
$665$	0.0270081	−	0.123535i	0.00104733	−	0.00479046i
$666$	−15.4031	+	11.1910i	−0.596859	+	0.433643i
$667$	−8.10317	+	24.9390i	−0.313756	+	0.965641i
$668$	1.81045			0.0700482
$669$	4.52799	−	13.9357i	0.175062	−	0.538786i
$670$	7.29566	−	6.49280i	0.281856	−	0.250839i
$671$	0.764331	+	2.35237i	0.0295067	+	0.0908121i
$672$	0.0491887	+	0.151387i	0.00189749	+	0.00583989i
$673$	5.61426	+	4.07900i	0.216414	+	0.157234i	0.690711	−	0.723131i	$-0.257298\pi$
$673$	5.61426	+	4.07900i	0.216414	+	0.157234i	−0.474297	+	0.880365i	$0.657298\pi$
$674$	−9.93644			−0.382738
$675$	−24.5927	−	11.2931i	−0.946574	−	0.434671i
$676$	14.0384			0.539940
$677$	−37.0509	−	26.9191i	−1.42398	−	1.03458i	−0.991098	−	0.133136i	$-0.957495\pi$
$677$	−37.0509	−	26.9191i	−1.42398	−	1.03458i	−0.432886	−	0.901449i	$-0.642505\pi$
$678$	−5.77035	−	17.7593i	−0.221609	−	0.682042i
$679$	−0.156783	−	0.482530i	−0.00601680	−	0.0185178i
$680$	10.1701	+	5.95066i	0.390006	+	0.228197i
$681$	−2.50395	+	7.70636i	−0.0959515	+	0.295308i
$682$	−1.85412			−0.0709978
$683$	7.60774	−	23.4142i	0.291102	−	0.895920i	−0.693401	−	0.720552i	$-0.743888\pi$
$683$	7.60774	−	23.4142i	0.291102	−	0.895920i	0.984503	−	0.175368i	$-0.0561115\pi$
$684$	−3.98267	+	2.89358i	−0.152281	+	0.110639i
$685$	35.3961	−	31.5008i	1.35241	−	1.20358i
$686$	0.640367	+	0.465254i	0.0244493	+	0.0177635i
$687$	35.5376	−	25.8196i	1.35584	−	0.985078i
$688$	3.65115	−	2.65272i	0.139199	−	0.101134i
$689$	−45.6278	−	33.1505i	−1.73828	−	1.26293i
$690$	32.7298	−	29.1280i	1.24600	−	1.10888i
$691$	−3.64166	+	2.64582i	−0.138535	+	0.100652i	−0.654894	−	0.755720i	$-0.727287\pi$
$691$	−3.64166	+	2.64582i	−0.138535	+	0.100652i	0.516359	+	0.856372i	$0.327287\pi$
$692$	−6.82575	+	21.0075i	−0.259476	+	0.798585i
$693$	0.121238			0.00460547
$694$	−9.61593	+	29.5948i	−0.365016	+	1.12340i
$695$	1.97276	+	1.15428i	0.0748309	+	0.0437844i
$696$	3.27647	+	10.0839i	0.124194	+	0.382231i
$697$	10.4115	+	32.0434i	0.394364	+	1.21373i
$698$	−5.27785	−	3.83459i	−0.199770	−	0.145141i
$699$	33.0290			1.24927
$700$	0.138527	+	0.246498i	0.00523584	+	0.00931675i
$701$	−41.9186			−1.58324			−0.791621	−	0.611012i	$-0.790763\pi$
$701$	−41.9186			−1.58324			−0.791621	+	0.611012i	$0.790763\pi$
$702$	22.7684	+	16.5422i	0.859339	+	0.624347i
$703$	1.19514	+	3.67825i	0.0450754	+	0.138728i
$704$	0.134575	+	0.414179i	0.00507199	+	0.0156100i
$705$	29.3708	−	26.1387i	1.10617	−	0.984440i
$706$	7.44509	−	22.9136i	0.280200	−	0.862366i
$707$	0.426548			0.0160420
$708$	1.86600	−	5.74297i	0.0701287	−	0.215834i
$709$	−21.5634	+	15.6668i	−0.809832	+	0.588377i	−0.913782	−	0.406205i	$-0.866852\pi$
$709$	−21.5634	+	15.6668i	−0.809832	+	0.588377i	0.103950	+	0.994583i	$0.466852\pi$
$710$	5.90951	−	27.0300i	0.221780	−	1.01442i
$711$	−61.4249	−	44.6278i	−2.30362	−	1.67367i
$712$	−4.66650	+	3.39041i	−0.174885	+	0.127061i
$713$	−23.9774	+	17.4206i	−0.897959	+	0.652405i
$714$	0.678602	+	0.493034i	0.0253961	+	0.0184513i
$715$	−5.03883	+	0.500063i	−0.188442	+	0.0187013i
$716$	−13.1381	+	9.54542i	−0.490996	+	0.356729i
$717$	−15.3639	+	47.2851i	−0.573774	+	1.76589i
$718$	−31.9270			−1.19150
$719$	1.66945	−	5.13803i	0.0622598	−	0.191616i	−0.915089	−	0.403253i	$-0.867879\pi$
$719$	1.66945	−	5.13803i	0.0622598	−	0.191616i	0.977348	+	0.211637i	$0.0678794\pi$
$720$	2.35108	−	10.7538i	0.0876197	−	0.400771i
$721$	−0.210057	−	0.646490i	−0.00782294	−	0.0240765i
$722$	0.309017	+	0.951057i	0.0115004	+	0.0353947i
$723$	5.73062	+	4.16354i	0.213124	+	0.154844i
$724$	21.8937			0.813673
$725$	9.22735	+	16.4193i	0.342695	+	0.609798i
$726$	−30.4285			−1.12931
$727$	−29.3959	−	21.3574i	−1.09023	−	0.792101i	−0.110795	−	0.993843i	$-0.535340\pi$
$727$	−29.3959	−	21.3574i	−1.09023	−	0.792101i	−0.979439	+	0.201742i	$0.935340\pi$
$728$	−0.0908689	−	0.279666i	−0.00336783	−	0.0103651i
$729$	−13.4144	−	41.2852i	−0.496829	−	1.52908i
$730$	0.667784	+	1.52360i	0.0247158	+	0.0563908i
$731$	7.34903	−	22.6180i	0.271814	−	0.836556i
$732$	15.9866			0.590883
$733$	−1.53257	+	4.71676i	−0.0566067	+	0.174217i	−0.975362	−	0.220609i	$-0.929195\pi$
$733$	−1.53257	+	4.71676i	−0.0566067	+	0.174217i	0.918756	+	0.394827i	$0.129195\pi$
$734$	−26.8583	+	19.5137i	−0.991357	+	0.720263i
$735$	−17.6781	−	40.3337i	−0.652065	−	1.48773i
$736$	5.63179	+	4.09173i	0.207591	+	0.150823i
$737$	1.53883	−	1.11802i	0.0566835	−	0.0411830i
$738$	25.4642	−	18.5009i	0.937352	−	0.681026i
$739$	11.1092	+	8.07128i	0.408657	+	0.296907i	0.773058	−	0.634335i	$-0.218726\pi$
$739$	11.1092	+	8.07128i	0.408657	+	0.296907i	−0.364401	+	0.931242i	$0.618726\pi$
$740$	−7.46425	−	4.36742i	−0.274391	−	0.160550i
$741$	11.8410	−	8.60300i	0.434991	−	0.316039i
$742$	−0.189542	+	0.583350i	−0.00695830	+	0.0214155i
$743$	47.0678			1.72675			0.863376	−	0.504561i	$-0.168346\pi$
$743$	47.0678			1.72675			0.863376	+	0.504561i	$0.168346\pi$
$744$	−3.70321	+	11.3973i	−0.135766	+	0.417845i
$745$	−31.5308	+	3.12918i	−1.15520	+	0.114644i
$746$	0.691713	+	2.12887i	0.0253254	+	0.0779436i
$747$	19.6598	+	60.5067i	0.719315	+	2.21383i
$748$	1.85658	+	1.34889i	0.0678834	+	0.0493202i
$749$	0.0992862			0.00362784
$750$	0.547705	−	31.4651i	0.0199993	−	1.14894i
$751$	−39.3753			−1.43683			−0.718413	−	0.695617i	$-0.755131\pi$
$751$	−39.3753			−1.43683			−0.718413	+	0.695617i	$0.755131\pi$
$752$	5.05382	+	3.67181i	0.184294	+	0.133897i
$753$	−11.3611	−	34.9659i	−0.414022	−	1.27423i
$754$	−6.05281	−	18.6286i	−0.220430	−	0.678414i
$755$	32.3094	−	3.20645i	1.17586	−	0.116695i
$756$	0.0945822	−	0.291094i	0.00343992	−	0.0105870i
$757$	−49.2631			−1.79050			−0.895249	−	0.445566i	$-0.853002\pi$
$757$	−49.2631			−1.79050			−0.895249	+	0.445566i	$0.853002\pi$
$758$	−11.0847	+	34.1151i	−0.402613	+	1.23911i
$759$	6.90350	−	5.01568i	0.250581	−	0.182058i
$760$	−1.92997	−	1.12925i	−0.0700075	−	0.0409622i
$761$	−13.5716	−	9.86034i	−0.491970	−	0.357437i	0.313971	−	0.949432i	$-0.398340\pi$
$761$	−13.5716	−	9.86034i	−0.491970	−	0.357437i	−0.805941	+	0.591995i	$0.798340\pi$
$762$	7.16242	−	5.20380i	0.259467	−	0.188514i
$763$	−0.108889	+	0.0791125i	−0.00394205	+	0.00286407i
$764$	−0.676484	−	0.491495i	−0.0244743	−	0.0177816i
$765$	−23.2855	−	53.1275i	−0.841889	−	1.92083i
$766$	3.47261	−	2.52300i	0.125470	−	0.0911596i
$767$	−3.44717	+	10.6093i	−0.124470	+	0.383079i
$768$	2.81475			0.101569
$769$	−7.35909	+	22.6489i	−0.265376	+	0.816742i	0.726231	+	0.687451i	$0.241270\pi$
$769$	−7.35909	+	22.6489i	−0.265376	+	0.816742i	−0.991607	+	0.129291i	$0.958730\pi$
$770$	0.0221064	+	0.0504374i	0.000796661	+	0.00181764i
$771$	7.22800	+	22.2455i	0.260310	+	0.801152i
$772$	−3.14195	−	9.66993i	−0.113081	−	0.348028i
$773$	−26.3683	−	19.1577i	−0.948402	−	0.689054i	0.00202651	−	0.999998i	$-0.499355\pi$
$773$	−26.3683	−	19.1577i	−0.948402	−	0.689054i	−0.950428	+	0.310944i	$0.899355\pi$
$774$	−22.2172			−0.798579
$775$	−2.47065	+	21.1437i	−0.0887483	+	0.759502i
$776$	−8.97172			−0.322066
$777$	−0.498053	−	0.361856i	−0.0178675	−	0.0129815i
$778$	10.8420	+	33.3684i	0.388706	+	1.19631i
$779$	−1.97578	−	6.08083i	−0.0707898	−	0.217869i
$780$	−6.99009	+	31.9726i	−0.250286	+	1.14480i
$781$	1.66519	−	5.12493i	0.0595852	−	0.183384i
$782$	36.6829			1.31178
$783$	6.30015	−	19.3899i	0.225149	−	0.692937i
$784$	5.66053	−	4.11262i	0.202162	−	0.146879i
$785$	−52.8991	+	5.24981i	−1.88805	+	0.187374i
$786$	14.4225	+	10.4786i	0.514434	+	0.373758i
$787$	−28.2599	+	20.5320i	−1.00735	+	0.731886i	−0.963653	−	0.267158i	$-0.913915\pi$
$787$	−28.2599	+	20.5320i	−1.00735	+	0.731886i	−0.0437023	+	0.999045i	$0.513915\pi$
$788$	17.6485	−	12.8224i	0.628701	−	0.456778i
$789$	−35.9790	−	26.1403i	−1.28089	−	0.930618i
$790$	7.36585	−	33.6913i	0.262065	−	1.19868i
$791$	0.303514	−	0.220516i	0.0107917	−	0.00784065i
$792$	0.662492	−	2.03894i	0.0235406	−	0.0724506i
$793$	−29.5330			−1.04875
$794$	0.752211	−	2.31507i	0.0266950	−	0.0821587i
$795$	50.9959	−	45.3840i	1.80864	−	1.60960i
$796$	−6.71037	−	20.6524i	−0.237843	−	0.732004i
$797$	12.0994	+	37.2382i	0.428583	+	1.31904i	0.899521	+	0.436877i	$0.143915\pi$
$797$	12.0994	+	37.2382i	0.428583	+	1.31904i	−0.470938	+	0.882166i	$0.656085\pi$
$798$	−0.128778	−	0.0935624i	−0.00455868	−	0.00331207i
$799$	32.9183			1.16456
$800$	4.90247	−	0.982741i	0.173329	−	0.0347451i
$801$	28.3955			1.00331
$802$	3.32755	+	2.41760i	0.117500	+	0.0853686i
$803$	0.100117	+	0.308127i	0.00353304	+	0.0108736i
$804$	−3.79904	−	11.6922i	−0.133982	−	0.412353i
$805$	0.759770	+	0.444550i	0.0267784	+	0.0156683i
$806$	6.84113	−	21.0548i	0.240969	−	0.741625i
$807$	22.6606			0.797691
$808$	2.33082	−	7.17352i	0.0819979	−	0.252363i
$809$	28.3131	−	20.5707i	0.995436	−	0.723227i	0.0343314	−	0.999411i	$-0.489070\pi$
$809$	28.3131	−	20.5707i	0.995436	−	0.723227i	0.961105	+	0.276184i	$0.0890698\pi$
$810$	−0.778175	+	0.692539i	−0.0273423	+	0.0243334i
$811$	−6.97781	−	5.06968i	−0.245024	−	0.178020i	0.458495	−	0.888697i	$-0.348389\pi$
$811$	−6.97781	−	5.06968i	−0.245024	−	0.178020i	−0.703519	+	0.710677i	$0.748389\pi$
$812$	−0.172339	+	0.125212i	−0.00604791	+	0.00439407i
$813$	−37.2837	+	27.0882i	−1.30760	+	0.950024i
$814$	−1.36262	−	0.990001i	−0.0477598	−	0.0346995i
$815$	3.09056	−	2.75045i	0.108257	−	0.0963441i
$816$	11.9998	−	8.71835i	0.420076	−	0.305203i
$817$	−1.39462	+	4.29219i	−0.0487915	+	0.150165i
$818$	19.4683			0.680693
$819$	−0.447334	+	1.37675i	−0.0156311	+	0.0481076i
$820$	12.3398	+	7.22016i	0.430924	+	0.252139i
$821$	−2.80142	−	8.62188i	−0.0977701	−	0.300906i	0.890196	−	0.455579i	$-0.150568\pi$
$821$	−2.80142	−	8.62188i	−0.0977701	−	0.300906i	−0.987966	+	0.154673i	$0.950568\pi$
$822$	−18.4316	−	56.7267i	−0.642877	−	1.97857i
$823$	−39.3330	−	28.5771i	−1.37106	−	0.996134i	−0.997653	−	0.0684662i	$-0.978189\pi$
$823$	−39.3330	−	28.5771i	−1.37106	−	0.996134i	−0.373407	−	0.927668i	$-0.621811\pi$
$824$	−12.0202			−0.418745
$825$	0.711342	−	6.08762i	0.0247658	−	0.211944i
$826$	0.121320			0.00422126
$827$	29.2001	+	21.2151i	1.01539	+	0.737721i	0.965332	−	0.261026i	$-0.0840608\pi$
$827$	29.2001	+	21.2151i	1.01539	+	0.737721i	0.0500536	+	0.998747i	$0.484061\pi$
$828$	−10.5898	−	32.5920i	−0.368021	−	1.13265i
$829$	−14.0277	−	43.1728i	−0.487202	−	1.49945i	−0.828766	−	0.559596i	$-0.810956\pi$
$829$	−14.0277	−	43.1728i	−0.487202	−	1.49945i	0.341563	−	0.939859i	$-0.389044\pi$
$830$	−21.5871	+	19.2115i	−0.749301	+	0.666842i
$831$	9.27016	−	28.5306i	0.321578	−	0.989716i
$832$	−5.19985			−0.180272
$833$	11.3935	−	35.0656i	0.394761	−	1.21495i
$834$	2.32766	−	1.69115i	0.0806004	−	0.0585596i
$835$	0.864644	−	3.95486i	0.0299222	−	0.136864i
$836$	−0.352322	−	0.255977i	−0.0121853	−	0.00885315i
$837$	18.6422	−	13.5444i	0.644369	−	0.468162i
$838$	−21.6938	+	15.7615i	−0.749399	+	0.544470i
$839$	5.59068	+	4.06187i	0.193012	+	0.140231i	0.680094	−	0.733125i	$-0.261939\pi$
$839$	5.59068	+	4.06187i	0.193012	+	0.140231i	−0.487082	+	0.873356i	$0.661939\pi$
$840$	0.354193	−	0.0351508i	0.0122208	−	0.00121282i
$841$	11.9819	−	8.70539i	0.413170	−	0.300186i
$842$	3.58663	−	11.0385i	0.123603	−	0.380412i
$843$	61.4918			2.11789
$844$	−3.99055	+	12.2816i	−0.137360	+	0.422751i
$845$	6.70456	−	30.6665i	0.230644	−	1.05496i
$846$	−9.50299	−	29.2472i	−0.326720	−	1.00554i
$847$	−0.188914	−	0.581418i	−0.00649116	−	0.0199777i
$848$	8.77482	+	6.37528i	0.301329	+	0.218928i
$849$	65.1924			2.23740
$850$	17.8561	−	19.3744i	0.612461	−	0.664536i
$851$	−26.9230			−0.922909
$852$	−28.1772	−	20.4719i	−0.965334	−	0.701357i
$853$	−2.55652	−	7.86817i	−0.0875337	−	0.269401i	0.897702	−	0.440602i	$-0.145235\pi$
$853$	−2.55652	−	7.86817i	−0.0875337	−	0.269401i	−0.985236	+	0.171201i	$0.945235\pi$
$854$	0.0992525	+	0.305468i	0.00339635	+	0.0104529i
$855$	4.41887	+	10.0819i	0.151122	+	0.344795i
$856$	0.542537	−	1.66976i	0.0185435	−	0.0570711i
$857$	−23.4602			−0.801386			−0.400693	−	0.916212i	$-0.631231\pi$
$857$	−23.4602			−0.801386			−0.400693	+	0.916212i	$0.631231\pi$
$858$	−1.96968	+	6.06205i	−0.0672438	+	0.206955i
$859$	−29.0308	+	21.0921i	−0.990517	+	0.719652i	−0.960034	−	0.279883i	$-0.909704\pi$
$859$	−29.0308	+	21.0921i	−0.990517	+	0.719652i	−0.0304824	+	0.999535i	$0.509704\pi$
$860$	−4.05104	−	9.24274i	−0.138139	−	0.315175i
$861$	0.823374	+	0.598216i	0.0280605	+	0.0203872i
$862$	7.81113	−	5.67512i	0.266048	−	0.193295i
$863$	−38.6404	+	28.0739i	−1.31533	+	0.955646i	−0.315356	+	0.948973i	$0.602124\pi$
$863$	−38.6404	+	28.0739i	−1.31533	+	0.955646i	−0.999978	+	0.00667276i	$0.997876\pi$
$864$	−4.37867	−	3.18129i	−0.148965	−	0.108230i
$865$	42.6304	+	24.9435i	1.44948	+	0.848105i
$866$	6.54638	−	4.75622i	0.222455	−	0.161623i
$867$	9.36638	−	28.8267i	0.318099	−	0.979008i
$868$	−0.240767			−0.00817217
$869$	2.07556	−	6.38792i	0.0704086	−	0.216695i
$870$	23.5929	−	2.34141i	0.799874	−	0.0793811i
$871$	7.01817	+	21.5997i	0.237802	+	0.731878i
$872$	0.735473	+	2.26355i	0.0249063	+	0.0766536i
$873$	35.7313	+	25.9603i	1.20932	+	0.878624i
$874$	−6.96127			−0.235469
$875$	0.604626	−	0.184885i	0.0204401	−	0.00625025i
$876$	2.09403			0.0707506
$877$	11.0485	+	8.02717i	0.373080	+	0.271058i	0.758487	−	0.651688i	$-0.225939\pi$
$877$	11.0485	+	8.02717i	0.373080	+	0.271058i	−0.385407	+	0.922747i	$0.625939\pi$
$878$	1.18953	+	3.66099i	0.0401446	+	0.123553i
$879$	29.3661	+	90.3797i	0.990495	+	3.04843i
$880$	0.969034	−	0.0961688i	0.0326661	−	0.00324185i
$881$	−16.7436	+	51.5316i	−0.564107	+	1.73614i	0.106481	+	0.994315i	$0.466042\pi$
$881$	−16.7436	+	51.5316i	−0.564107	+	1.73614i	−0.670589	+	0.741829i	$0.733958\pi$
$882$	−34.4442			−1.15980
$883$	7.42681	−	22.8574i	0.249932	−	0.769212i	−0.744854	−	0.667227i	$-0.767481\pi$
$883$	7.42681	−	22.8574i	0.249932	−	0.769212i	0.994786	−	0.101984i	$-0.0325191\pi$
$884$	−22.1678	+	16.1059i	−0.745585	+	0.541699i
$885$	−11.6542	−	6.81899i	−0.391751	−	0.229218i
$886$	−23.0472	−	16.7448i	−0.774285	−	0.562551i
$887$	−31.1654	+	22.6430i	−1.04643	+	0.760276i	−0.971530	−	0.236915i	$-0.923864\pi$
$887$	−31.1654	+	22.6430i	−1.04643	+	0.760276i	−0.0749001	+	0.997191i	$0.523864\pi$
$888$	−8.80710	+	6.39873i	−0.295547	+	0.214727i
$889$	0.143900	+	0.104550i	0.00482626	+	0.00350648i
$890$	5.17760	+	11.8131i	0.173554	+	0.395974i
$891$	−0.164136	+	0.119252i	−0.00549875	+	0.00399508i
$892$	1.60866	−	4.95095i	0.0538620	−	0.165770i
$893$	−6.24686			−0.209043
$894$	−12.3254	+	37.9336i	−0.412223	+	1.26869i
$895$	14.5771	+	33.2587i	0.487259	+	1.11171i
$896$	0.0174753	+	0.0537834i	0.000583809	+	0.00179678i
$897$	31.4849	+	96.9006i	1.05125	+	3.23542i
$898$	−7.90546	−	5.74366i	−0.263809	−	0.191668i
$899$	−16.0376			−0.534883
$900$	−22.3685	−	10.2717i	−0.745618	−	0.342391i
$901$	57.1552			1.90412
$902$	2.25266	+	1.63666i	0.0750055	+	0.0544947i
$903$	−0.221992	−	0.683222i	−0.00738744	−	0.0227362i
$904$	−2.05004	−	6.30936i	−0.0681832	−	0.209846i
$905$	10.4561	−	47.8261i	0.347574	−	1.58979i
$906$	12.6298	−	38.8704i	0.419595	−	1.29138i
$907$	36.9507			1.22693			0.613464	−	0.789723i	$-0.289776\pi$
$907$	36.9507			1.22693			0.613464	+	0.789723i	$0.289776\pi$
$908$	−0.889580	+	2.73784i	−0.0295217	+	0.0908586i
$909$	−30.0400	+	21.8253i	−0.996363	+	0.723900i
$910$	−0.654319	+	0.0649360i	−0.0216905	+	0.00215261i
$911$	−14.0393	−	10.2001i	−0.465142	−	0.337946i	0.330403	−	0.943840i	$-0.392815\pi$
$911$	−14.0393	−	10.2001i	−0.465142	−	0.337946i	−0.795545	+	0.605894i	$0.792815\pi$
$912$	−2.27718	+	1.65447i	−0.0754051	+	0.0547850i
$913$	−4.55324	+	3.30812i	−0.150690	+	0.109483i
$914$	20.0878	+	14.5946i	0.664444	+	0.482747i
$915$	7.63500	−	34.9224i	0.252405	−	1.15450i
$916$	12.6255	−	9.17294i	0.417157	−	0.303083i
$917$	−0.110679	+	0.340636i	−0.00365496	+	0.0112488i
$918$	−28.5207			−0.941323
$919$	−11.7755	+	36.2411i	−0.388436	+	1.19548i	0.545520	+	0.838098i	$0.316332\pi$
$919$	−11.7755	+	36.2411i	−0.388436	+	1.19548i	−0.933957	+	0.357386i	$0.883668\pi$
$920$	11.6279	−	10.3483i	0.383362	−	0.341174i
$921$	6.45304	+	19.8604i	0.212635	+	0.654423i
$922$	−10.5108	−	32.3490i	−0.346155	−	1.06536i
$923$	52.0532	+	37.8189i	1.71335	+	1.24482i
$924$	0.0693210			0.00228049
$925$	−13.1053	+	14.2196i	−0.430900	+	0.467538i
$926$	6.14697			0.202002
$927$	47.8726	+	34.7815i	1.57234	+	1.14237i
$928$	1.16404	+	3.58253i	0.0382113	+	0.117602i
$929$	−10.7820	−	33.1837i	−0.353747	−	1.08872i	−0.956732	−	0.290970i	$-0.906022\pi$
$929$	−10.7820	−	33.1837i	−0.353747	−	1.08872i	0.602985	−	0.797753i	$-0.293978\pi$
$930$	23.1285	+	13.5327i	0.758412	+	0.443756i
$931$	−2.16213	+	6.65435i	−0.0708610	+	0.218088i
$932$	11.7342			0.384367
$933$	−0.847277	+	2.60765i	−0.0277386	+	0.0853707i
$934$	1.42542	−	1.03563i	0.0466412	−	0.0338868i
$935$	3.83328	−	3.41144i	0.125362	−	0.111566i
$936$	20.7093	+	15.0462i	0.676903	+	0.491799i
$937$	33.0226	−	23.9923i	1.07880	−	0.783794i	0.101327	−	0.994853i	$-0.467691\pi$
$937$	33.0226	−	23.9923i	1.07880	−	0.783794i	0.977473	+	0.211059i	$0.0676913\pi$
$938$	0.199825	−	0.145182i	0.00652453	−	0.00474035i
$939$	−26.1597	−	19.0061i	−0.853688	−	0.620241i
$940$	10.4346	−	9.28631i	0.340339	−	0.302886i
$941$	40.2878	−	29.2708i	1.31335	−	0.954202i	0.313357	−	0.949636i	$-0.398546\pi$
$941$	40.2878	−	29.2708i	1.31335	−	0.954202i	0.999990	−	0.00456633i	$-0.00145351\pi$
$942$	−20.6783	+	63.6412i	−0.673734	+	2.07354i
$943$	44.5088			1.44941
$944$	0.662936	−	2.04031i	0.0215767	−	0.0664064i
$945$	−0.590715	−	0.345635i	−0.0192160	−	0.0112435i
$946$	−0.607347	−	1.86922i	−0.0197466	−	0.0607736i
$947$	−1.31480	−	4.04655i	−0.0427253	−	0.131495i	0.927419	−	0.374025i	$-0.122023\pi$
$947$	−1.31480	−	4.04655i	−0.0427253	−	0.131495i	−0.970144	+	0.242530i	$0.922023\pi$
$948$	−35.1212	−	25.5170i	−1.14068	−	0.828755i
$949$	−3.86841			−0.125574
$950$	−3.38854	+	3.67665i	−0.109939	+	0.119286i
$951$	−26.4457			−0.857560
$952$	0.241088	+	0.175160i	0.00781369	+	0.00567698i
$953$	6.02310	+	18.5372i	0.195108	+	0.600479i	0.999975	+	0.00702504i	$0.00223616\pi$
$953$	6.02310	+	18.5372i	0.195108	+	0.600479i	−0.804868	+	0.593454i	$0.797764\pi$
$954$	−16.4998	−	50.7812i	−0.534202	−	1.64410i
$955$	−1.39673	+	1.24303i	−0.0451973	+	0.0402235i
$956$	−5.45833	+	16.7990i	−0.176535	+	0.543319i
$957$	4.61749			0.149262
$958$	−8.99784	+	27.6925i	−0.290707	+	0.894705i
$959$	0.969484	−	0.704372i	0.0313063	−	0.0227453i
$960$	1.34429	−	6.14875i	0.0433867	−	0.198450i
$961$	10.4150	+	7.56695i	0.335968	+	0.244095i
$962$	16.2698	−	11.8207i	0.524561	−	0.381116i
$963$	−6.99231	+	5.08021i	−0.225324	+	0.163707i
$964$	2.03592	+	1.47918i	0.0655726	+	0.0476413i
$965$	−22.6242	+	2.24527i	−0.728299	+	0.0722779i
$966$	0.896457	−	0.651314i	0.0288430	−	0.0209557i
$967$	−8.20669	+	25.2576i	−0.263909	+	0.812230i	0.728033	+	0.685542i	$0.240435\pi$
$967$	−8.20669	+	25.2576i	−0.263909	+	0.812230i	−0.991943	+	0.126688i	$0.959565\pi$
$968$	−10.8103			−0.347458
$969$	−4.58351	+	14.1066i	−0.147243	+	0.453169i
$970$	−4.28477	+	19.5985i	−0.137576	+	0.629268i
$971$	−15.9878	−	49.2055i	−0.513074	−	1.57908i	−0.786758	−	0.617261i	$-0.788242\pi$
$971$	−15.9878	−	49.2055i	−0.513074	−	1.57908i	0.273684	−	0.961820i	$-0.411758\pi$
$972$	−4.61230	−	14.1952i	−0.147940	−	0.455311i
$973$	0.0467651	+	0.0339768i	0.00149922	+	0.00108925i
$974$	8.21304			0.263163
$975$	66.5048	+	30.5393i	2.12986	+	0.978041i
$976$	5.67959			0.181799
$977$	−2.93215	−	2.13033i	−0.0938077	−	0.0681553i	0.539893	−	0.841734i	$-0.318465\pi$
$977$	−2.93215	−	2.13033i	−0.0938077	−	0.0681553i	−0.633700	+	0.773579i	$0.718465\pi$
$978$	−1.60933	−	4.95301i	−0.0514607	−	0.158380i
$979$	0.776244	+	2.38903i	0.0248089	+	0.0763539i
$980$	−6.28050	−	14.3294i	−0.200623	−	0.457736i
$981$	3.62062	−	11.1431i	0.115597	−	0.355772i
$982$	37.9184			1.21003
$983$	7.05042	−	21.6990i	0.224873	−	0.692089i	−0.773431	−	0.633880i	$-0.781461\pi$
$983$	7.05042	−	21.6990i	0.224873	−	0.692089i	0.998304	−	0.0582087i	$-0.0185389\pi$
$984$	14.5598	−	10.5783i	0.464149	−	0.337224i
$985$	−19.5814	−	44.6763i	−0.623916	−	1.42351i
$986$	16.0589	+	11.6675i	0.511420	+	0.371568i
$987$	0.804456	−	0.584472i	0.0256061	−	0.0186039i
$988$	4.20677	−	3.05639i	0.133835	−	0.0972369i
$989$	−25.4167	−	18.4663i	−0.808203	−	0.587194i
$990$	−4.13761	−	2.42096i	−0.131502	−	0.0769433i
$991$	35.5460	−	25.8257i	1.12916	−	0.820380i	0.143584	−	0.989638i	$-0.454137\pi$
$991$	35.5460	−	25.8257i	1.12916	−	0.820380i	0.985572	+	0.169258i	$0.0541372\pi$
$992$	−1.31564	+	4.04913i	−0.0417716	+	0.128560i
$993$	−8.36576			−0.265479
$994$	0.216234	−	0.665500i	0.00685853	−	0.0211084i
$995$	−48.3193	+	4.79530i	−1.53182	+	0.152021i
$996$	11.2410	+	34.5962i	0.356184	+	1.09622i
$997$	−17.5447	−	53.9970i	−0.555646	−	1.71010i	−0.694230	−	0.719753i	$-0.744255\pi$
$997$	−17.5447	−	53.9970i	−0.555646	−	1.71010i	0.138584	−	0.990351i	$-0.455745\pi$
$998$	27.7657	+	20.1729i	0.878907	+	0.638563i
$999$	20.9324			0.662273

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.h.b.191.10	✓	40
25.11	even	5	inner	950.2.h.b.761.10	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.h.b.191.10	✓	40	1.1	even	1	trivial
950.2.h.b.761.10	yes	40	25.11	even	5	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:	\( N \)	\(=\)	\( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	950.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.809017 - 0.587785i) q^{2} +(0.869807 + 2.67699i) q^{3} +(0.309017 + 0.951057i) q^{4} +(2.22514 - 0.220827i) q^{5} +(0.869807 - 2.67699i) q^{6} +0.0565513 q^{7} +(0.309017 - 0.951057i) q^{8} +(-3.98267 + 2.89358i) q^{9} +O(q^{10})\)	\(q+(-0.809017 - 0.587785i) q^{2} +(0.869807 + 2.67699i) q^{3} +(0.309017 + 0.951057i) q^{4} +(2.22514 - 0.220827i) q^{5} +(0.869807 - 2.67699i) q^{6} +0.0565513 q^{7} +(0.309017 - 0.951057i) q^{8} +(-3.98267 + 2.89358i) q^{9} +(-1.92997 - 1.12925i) q^{10} +(-0.352322 - 0.255977i) q^{11} +(-2.27718 + 1.65447i) q^{12} +(4.20677 - 3.05639i) q^{13} +(-0.0457509 - 0.0332400i) q^{14} +(2.52659 + 5.76460i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-1.62839 + 5.01166i) q^{17} +4.92285 q^{18} +(0.309017 - 0.951057i) q^{19} +(0.897624 + 2.04799i) q^{20} +(0.0491887 + 0.151387i) q^{21} +(0.134575 + 0.414179i) q^{22} +(5.63179 + 4.09173i) q^{23} +2.81475 q^{24} +(4.90247 - 0.982741i) q^{25} -5.19985 q^{26} +(-4.37867 - 3.18129i) q^{27} +(0.0174753 + 0.0537834i) q^{28} +(1.16404 + 3.58253i) q^{29} +(1.34429 - 6.14875i) q^{30} +(-1.31564 + 4.04913i) q^{31} +1.00000 q^{32} +(0.378796 - 1.16581i) q^{33} +(4.26317 - 3.09737i) q^{34} +(0.125834 - 0.0124880i) q^{35} +(-3.98267 - 2.89358i) q^{36} +(-3.12891 + 2.27328i) q^{37} +(-0.809017 + 0.587785i) q^{38} +(11.8410 + 8.60300i) q^{39} +(0.477586 - 2.18447i) q^{40} +(5.17267 - 3.75816i) q^{41} +(0.0491887 - 0.151387i) q^{42} -4.51307 q^{43} +(0.134575 - 0.414179i) q^{44} +(-8.22300 + 7.31808i) q^{45} +(-2.15115 - 6.62057i) q^{46} +(-1.93039 - 5.94112i) q^{47} +(-2.27718 - 1.65447i) q^{48} -6.99680 q^{49} +(-4.54382 - 2.08655i) q^{50} -14.8325 q^{51} +(4.20677 + 3.05639i) q^{52} +(-3.35168 - 10.3154i) q^{53} +(1.67250 + 5.14744i) q^{54} +(-0.840491 - 0.491781i) q^{55} +(0.0174753 - 0.0537834i) q^{56} +2.81475 q^{57} +(1.16404 - 3.58253i) q^{58} +(-1.73559 + 1.26098i) q^{59} +(-4.70170 + 4.18429i) q^{60} +(-4.59488 - 3.33838i) q^{61} +(3.44439 - 2.50250i) q^{62} +(-0.225225 + 0.163635i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(8.68570 - 7.72986i) q^{65} +(-0.991700 + 0.720512i) q^{66} +(-1.34969 + 4.15391i) q^{67} -5.26957 q^{68} +(-6.05497 + 18.6353i) q^{69} +(-0.109142 - 0.0638605i) q^{70} +(3.82368 + 11.7681i) q^{71} +(1.52124 + 4.68190i) q^{72} +(-0.601865 - 0.437281i) q^{73} +3.86754 q^{74} +(6.89499 + 12.2691i) q^{75} +1.00000 q^{76} +(-0.0199242 - 0.0144758i) q^{77} +(-4.52287 - 13.9199i) q^{78} +(4.76599 + 14.6682i) q^{79} +(-1.67037 + 1.48656i) q^{80} +(0.143961 - 0.443067i) q^{81} -6.39377 q^{82} +(3.99359 - 12.2910i) q^{83} +(-0.128778 + 0.0935624i) q^{84} +(-2.51667 + 11.5112i) q^{85} +(3.65115 + 2.65272i) q^{86} +(-8.57792 + 6.23222i) q^{87} +(-0.352322 + 0.255977i) q^{88} +(-4.66650 - 3.39041i) q^{89} +(10.9540 - 1.08710i) q^{90} +(0.237898 - 0.172843i) q^{91} +(-2.15115 + 6.62057i) q^{92} -11.9838 q^{93} +(-1.93039 + 5.94112i) q^{94} +(0.477586 - 2.18447i) q^{95} +(0.869807 + 2.67699i) q^{96} +(-2.77241 - 8.53261i) q^{97} +(5.66053 + 4.11262i) q^{98} +2.14387 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 10 q^{2} + 5 q^{3} - 10 q^{4} + 5 q^{6} - 12 q^{7} - 10 q^{8} - 3 q^{9}+O(q^{10}) \) 40 * q - 10 * q^2 + 5 * q^3 - 10 * q^4 + 5 * q^6 - 12 * q^7 - 10 * q^8 - 3 * q^9	\( 40 q - 10 q^{2} + 5 q^{3} - 10 q^{4} + 5 q^{6} - 12 q^{7} - 10 q^{8} - 3 q^{9} - 6 q^{11} + 16 q^{13} - 2 q^{14} + 16 q^{15} - 10 q^{16} - 2 q^{17} + 22 q^{18} - 10 q^{19} - 5 q^{20} + 3 q^{21} + 14 q^{22} + 4 q^{23} - 10 q^{24} - 2 q^{25} - 34 q^{26} + 29 q^{27} + 8 q^{28} + 16 q^{30} + 19 q^{31} + 40 q^{32} - 16 q^{33} + 3 q^{34} - 24 q^{35} - 3 q^{36} + q^{37} - 10 q^{38} - 7 q^{39} + 5 q^{40} + 20 q^{41} + 3 q^{42} - 48 q^{43} + 14 q^{44} + 53 q^{45} + 4 q^{46} + 29 q^{47} + 28 q^{49} + 3 q^{50} - 122 q^{51} + 16 q^{52} - 5 q^{53} - 6 q^{54} + 56 q^{55} + 8 q^{56} - 10 q^{57} + 20 q^{59} - 19 q^{60} + 42 q^{61} - 21 q^{62} + 9 q^{63} - 10 q^{64} + 35 q^{65} + 24 q^{66} - 3 q^{67} - 2 q^{68} - 9 q^{69} - 19 q^{70} + 18 q^{71} - 8 q^{72} + 8 q^{73} - 64 q^{74} + 7 q^{75} + 40 q^{76} + 35 q^{77} - 2 q^{78} + q^{79} + 59 q^{81} - 30 q^{82} + 11 q^{83} - 7 q^{84} - 125 q^{85} + 32 q^{86} - 31 q^{87} - 6 q^{88} - 34 q^{89} - 7 q^{90} + 10 q^{91} + 4 q^{92} + 24 q^{93} + 29 q^{94} + 5 q^{95} + 5 q^{96} + 90 q^{97} - 12 q^{98} + 10 q^{99}+O(q^{100}) \) 40 * q - 10 * q^2 + 5 * q^3 - 10 * q^4 + 5 * q^6 - 12 * q^7 - 10 * q^8 - 3 * q^9 - 6 * q^11 + 16 * q^13 - 2 * q^14 + 16 * q^15 - 10 * q^16 - 2 * q^17 + 22 * q^18 - 10 * q^19 - 5 * q^20 + 3 * q^21 + 14 * q^22 + 4 * q^23 - 10 * q^24 - 2 * q^25 - 34 * q^26 + 29 * q^27 + 8 * q^28 + 16 * q^30 + 19 * q^31 + 40 * q^32 - 16 * q^33 + 3 * q^34 - 24 * q^35 - 3 * q^36 + q^37 - 10 * q^38 - 7 * q^39 + 5 * q^40 + 20 * q^41 + 3 * q^42 - 48 * q^43 + 14 * q^44 + 53 * q^45 + 4 * q^46 + 29 * q^47 + 28 * q^49 + 3 * q^50 - 122 * q^51 + 16 * q^52 - 5 * q^53 - 6 * q^54 + 56 * q^55 + 8 * q^56 - 10 * q^57 + 20 * q^59 - 19 * q^60 + 42 * q^61 - 21 * q^62 + 9 * q^63 - 10 * q^64 + 35 * q^65 + 24 * q^66 - 3 * q^67 - 2 * q^68 - 9 * q^69 - 19 * q^70 + 18 * q^71 - 8 * q^72 + 8 * q^73 - 64 * q^74 + 7 * q^75 + 40 * q^76 + 35 * q^77 - 2 * q^78 + q^79 + 59 * q^81 - 30 * q^82 + 11 * q^83 - 7 * q^84 - 125 * q^85 + 32 * q^86 - 31 * q^87 - 6 * q^88 - 34 * q^89 - 7 * q^90 + 10 * q^91 + 4 * q^92 + 24 * q^93 + 29 * q^94 + 5 * q^95 + 5 * q^96 + 90 * q^97 - 12 * q^98 + 10 * q^99

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