LMFDB - Embedded newform 950.2.h.b.191.3

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			191.3
Character	$\chi$	$=$	950.191
Dual form			950.2.h.b.761.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.809017 - 0.587785i) q^{2} +(-0.410709 - 1.26403i) q^{3} +(0.309017 + 0.951057i) q^{4} +(0.971992 - 2.01376i) q^{5} +(-0.410709 + 1.26403i) q^{6} -2.95140 q^{7} +(0.309017 - 0.951057i) q^{8} +(0.997953 - 0.725055i) q^{9} +O(q^{10})$	\(q+(-0.809017 - 0.587785i) q^{2} +(-0.410709 - 1.26403i) q^{3} +(0.309017 + 0.951057i) q^{4} +(0.971992 - 2.01376i) q^{5} +(-0.410709 + 1.26403i) q^{6} -2.95140 q^{7} +(0.309017 - 0.951057i) q^{8} +(0.997953 - 0.725055i) q^{9} +(-1.97002 + 1.05784i) q^{10} +(2.17371 + 1.57929i) q^{11} +(1.07525 - 0.781216i) q^{12} +(2.42635 - 1.76285i) q^{13} +(2.38773 + 1.73479i) q^{14} +(-2.94467 - 0.401560i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(1.79190 - 5.51490i) q^{17} -1.23354 q^{18} +(0.309017 - 0.951057i) q^{19} +(2.21556 + 0.302133i) q^{20} +(1.21217 + 3.73066i) q^{21} +(-0.830282 - 2.55535i) q^{22} +(0.486774 + 0.353662i) q^{23} -1.32908 q^{24} +(-3.11046 - 3.91472i) q^{25} -2.99914 q^{26} +(-4.55212 - 3.30731i) q^{27} +(-0.912031 - 2.80694i) q^{28} +(-0.389691 - 1.19935i) q^{29} +(2.14625 + 2.05570i) q^{30} +(-0.662391 + 2.03863i) q^{31} +1.00000 q^{32} +(1.10351 - 3.39627i) q^{33} +(-4.69125 + 3.40840i) q^{34} +(-2.86873 + 5.94340i) q^{35} +(0.997953 + 0.725055i) q^{36} +(-2.00025 + 1.45327i) q^{37} +(-0.809017 + 0.587785i) q^{38} +(-3.22483 - 2.34297i) q^{39} +(-1.61484 - 1.54671i) q^{40} +(1.91228 - 1.38935i) q^{41} +(1.21217 - 3.73066i) q^{42} -3.37825 q^{43} +(-0.830282 + 2.55535i) q^{44} +(-0.490085 - 2.71439i) q^{45} +(-0.185931 - 0.572237i) q^{46} +(-1.13189 - 3.48360i) q^{47} +(1.07525 + 0.781216i) q^{48} +1.71073 q^{49} +(0.215404 + 4.99536i) q^{50} -7.70697 q^{51} +(2.42635 + 1.76285i) q^{52} +(3.00480 + 9.24783i) q^{53} +(1.73875 + 5.35133i) q^{54} +(5.29314 - 2.84227i) q^{55} +(-0.912031 + 2.80694i) q^{56} -1.32908 q^{57} +(-0.389691 + 1.19935i) q^{58} +(-2.91281 + 2.11628i) q^{59} +(-0.528046 - 2.92463i) q^{60} +(-5.04895 - 3.66828i) q^{61} +(1.73416 - 1.25994i) q^{62} +(-2.94535 + 2.13992i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-1.19156 - 6.59957i) q^{65} +(-2.88904 + 2.09901i) q^{66} +(2.60591 - 8.02015i) q^{67} +5.79871 q^{68} +(0.247118 - 0.760551i) q^{69} +(5.81430 - 3.12212i) q^{70} +(1.43120 + 4.40478i) q^{71} +(-0.381184 - 1.17316i) q^{72} +(-3.61205 - 2.62431i) q^{73} +2.47245 q^{74} +(-3.67084 + 5.53954i) q^{75} +1.00000 q^{76} +(-6.41547 - 4.66111i) q^{77} +(1.23177 + 3.79101i) q^{78} +(4.33487 + 13.3414i) q^{79} +(0.397301 + 2.20049i) q^{80} +(-1.16740 + 3.59288i) q^{81} -2.36371 q^{82} +(-0.924928 + 2.84663i) q^{83} +(-3.17349 + 2.30568i) q^{84} +(-9.36398 - 8.96890i) q^{85} +(2.73306 + 1.98568i) q^{86} +(-1.35596 + 0.985165i) q^{87} +(2.17371 - 1.57929i) q^{88} +(-0.242971 - 0.176529i) q^{89} +(-1.19899 + 2.48405i) q^{90} +(-7.16113 + 5.20286i) q^{91} +(-0.185931 + 0.572237i) q^{92} +2.84894 q^{93} +(-1.13189 + 3.48360i) q^{94} +(-1.61484 - 1.54671i) q^{95} +(-0.410709 - 1.26403i) q^{96} +(-1.78101 - 5.48139i) q^{97} +(-1.38401 - 1.00554i) q^{98} +3.31433 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
$3$	−0.410709	−	1.26403i	−0.237123	−	0.729790i	−0.996833	−	0.0795275i	$-0.974659\pi$
$3$	−0.410709	−	1.26403i	−0.237123	−	0.729790i	0.759710	−	0.650263i	$-0.225341\pi$
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	0.971992	−	2.01376i	0.434688	−	0.900581i
$5$	0.971992	−	2.01376i	0.434688	−	0.900581i
$6$	−0.410709	+	1.26403i	−0.167671	+	0.516040i
$7$	−2.95140			−1.11552			−0.557761	−	0.830001i	$-0.688340\pi$
$7$	−2.95140			−1.11552			−0.557761	+	0.830001i	$0.688340\pi$
$8$	0.309017	−	0.951057i	0.109254	−	0.336249i
$9$	0.997953	−	0.725055i	0.332651	−	0.241685i
$10$	−1.97002	+	1.05784i	−0.622974	+	0.334520i
$11$	2.17371	+	1.57929i	0.655397	+	0.476174i	0.865105	−	0.501590i	$-0.167251\pi$
$11$	2.17371	+	1.57929i	0.655397	+	0.476174i	−0.209708	+	0.977764i	$0.567251\pi$
$12$	1.07525	−	0.781216i	0.310398	−	0.225518i
$13$	2.42635	−	1.76285i	0.672949	−	0.488926i	−0.198062	−	0.980190i	$-0.563465\pi$
$13$	2.42635	−	1.76285i	0.672949	−	0.488926i	0.871011	+	0.491263i	$0.163465\pi$
$14$	2.38773	+	1.73479i	0.638147	+	0.463641i
$15$	−2.94467	−	0.401560i	−0.760310	−	0.103682i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	1.79190	−	5.51490i	0.434599	−	1.33756i	−0.458897	−	0.888489i	$-0.651755\pi$
$17$	1.79190	−	5.51490i	0.434599	−	1.33756i	0.893496	−	0.449070i	$-0.148245\pi$
$18$	−1.23354			−0.290747
$19$	0.309017	−	0.951057i	0.0708934	−	0.218187i
$19$	0.309017	−	0.951057i	0.0708934	−	0.218187i
$20$	2.21556	+	0.302133i	0.495415	+	0.0675590i
$21$	1.21217	+	3.73066i	0.264516	+	0.814097i
$22$	−0.830282	−	2.55535i	−0.177017	−	0.544801i
$23$	0.486774	+	0.353662i	0.101499	+	0.0737437i	0.637377	−	0.770552i	$-0.280019\pi$
$23$	0.486774	+	0.353662i	0.101499	+	0.0737437i	−0.535878	+	0.844295i	$0.680019\pi$
$24$	−1.32908			−0.271298
$25$	−3.11046	−	3.91472i	−0.622093	−	0.782944i
$26$	−2.99914			−0.588179
$27$	−4.55212	−	3.30731i	−0.876055	−	0.636491i
$28$	−0.912031	−	2.80694i	−0.172358	−	0.530462i
$29$	−0.389691	−	1.19935i	−0.0723638	−	0.222713i	0.908333	−	0.418248i	$-0.137356\pi$
$29$	−0.389691	−	1.19935i	−0.0723638	−	0.222713i	−0.980697	+	0.195535i	$0.937356\pi$
$30$	2.14625	+	2.05570i	0.391851	+	0.375318i
$31$	−0.662391	+	2.03863i	−0.118969	+	0.366148i	−0.992754	−	0.120163i	$-0.961658\pi$
$31$	−0.662391	+	2.03863i	−0.118969	+	0.366148i	0.873785	+	0.486312i	$0.161658\pi$
$32$	1.00000			0.176777
$33$	1.10351	−	3.39627i	0.192097	−	0.591214i
$34$	−4.69125	+	3.40840i	−0.804543	+	0.584535i
$35$	−2.86873	+	5.94340i	−0.484904	+	1.00462i
$36$	0.997953	+	0.725055i	0.166325	+	0.120842i
$37$	−2.00025	+	1.45327i	−0.328840	+	0.238916i	−0.739938	−	0.672675i	$-0.765145\pi$
$37$	−2.00025	+	1.45327i	−0.328840	+	0.238916i	0.411099	+	0.911591i	$0.365145\pi$
$38$	−0.809017	+	0.587785i	−0.131240	+	0.0953514i
$39$	−3.22483	−	2.34297i	−0.516385	−	0.375176i
$40$	−1.61484	−	1.54671i	−0.255328	−	0.244556i
$41$	1.91228	−	1.38935i	0.298648	−	0.216980i	−0.428362	−	0.903607i	$-0.640909\pi$
$41$	1.91228	−	1.38935i	0.298648	−	0.216980i	0.727010	+	0.686627i	$0.240909\pi$
$42$	1.21217	−	3.73066i	0.187041	−	0.575654i
$43$	−3.37825			−0.515178			−0.257589	−	0.966255i	$-0.582928\pi$
$43$	−3.37825			−0.515178			−0.257589	+	0.966255i	$0.582928\pi$
$44$	−0.830282	+	2.55535i	−0.125170	+	0.385233i
$45$	−0.490085	−	2.71439i	−0.0730576	−	0.404637i
$46$	−0.185931	−	0.572237i	−0.0274141	−	0.0843718i
$47$	−1.13189	−	3.48360i	−0.165103	−	0.508135i	0.833941	−	0.551854i	$-0.186079\pi$
$47$	−1.13189	−	3.48360i	−0.165103	−	0.508135i	−0.999044	+	0.0437190i	$0.986079\pi$
$48$	1.07525	+	0.781216i	0.155199	+	0.112759i
$49$	1.71073			0.244391
$50$	0.215404	+	4.99536i	0.0304627	+	0.706450i
$51$	−7.70697			−1.07919
$52$	2.42635	+	1.76285i	0.336475	+	0.244463i
$53$	3.00480	+	9.24783i	0.412741	+	1.27029i	0.914256	+	0.405138i	$0.132776\pi$
$53$	3.00480	+	9.24783i	0.412741	+	1.27029i	−0.501514	+	0.865149i	$0.667224\pi$
$54$	1.73875	+	5.35133i	0.236614	+	0.728224i
$55$	5.29314	−	2.84227i	0.713726	−	0.383251i
$56$	−0.912031	+	2.80694i	−0.121875	+	0.375094i
$57$	−1.32908			−0.176041
$58$	−0.389691	+	1.19935i	−0.0511689	+	0.157482i
$59$	−2.91281	+	2.11628i	−0.379215	+	0.275516i	−0.761022	−	0.648726i	$-0.775302\pi$
$59$	−2.91281	+	2.11628i	−0.379215	+	0.275516i	0.381807	+	0.924242i	$0.375302\pi$
$60$	−0.528046	−	2.92463i	−0.0681704	−	0.377569i
$61$	−5.04895	−	3.66828i	−0.646452	−	0.469675i	0.215609	−	0.976480i	$-0.430826\pi$
$61$	−5.04895	−	3.66828i	−0.646452	−	0.469675i	−0.862061	+	0.506805i	$0.830826\pi$
$62$	1.73416	−	1.25994i	0.220239	−	0.160013i
$63$	−2.94535	+	2.13992i	−0.371080	+	0.269605i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	−1.19156	−	6.59957i	−0.147795	−	0.818576i
$66$	−2.88904	+	2.09901i	−0.355616	+	0.258370i
$67$	2.60591	−	8.02015i	0.318362	−	0.979818i	−0.655986	−	0.754773i	$-0.727747\pi$
$67$	2.60591	−	8.02015i	0.318362	−	0.979818i	0.974348	−	0.225045i	$-0.0722529\pi$
$68$	5.79871			0.703197
$69$	0.247118	−	0.760551i	0.0297495	−	0.0915596i
$70$	5.81430	−	3.12212i	0.694942	−	0.373164i
$71$	1.43120	+	4.40478i	0.169852	+	0.522751i	0.999361	−	0.0357424i	$-0.0113796\pi$
$71$	1.43120	+	4.40478i	0.169852	+	0.522751i	−0.829509	+	0.558494i	$0.811380\pi$
$72$	−0.381184	−	1.17316i	−0.0449230	−	0.138259i
$73$	−3.61205	−	2.62431i	−0.422759	−	0.307152i	0.355988	−	0.934491i	$-0.384144\pi$
$73$	−3.61205	−	2.62431i	−0.422759	−	0.307152i	−0.778747	+	0.627338i	$0.784144\pi$
$74$	2.47245			0.287416
$75$	−3.67084	+	5.53954i	−0.423872	+	0.639651i
$76$	1.00000			0.114708
$77$	−6.41547	−	4.66111i	−0.731110	−	0.531183i
$78$	1.23177	+	3.79101i	0.139471	+	0.429247i
$79$	4.33487	+	13.3414i	0.487711	+	1.50102i	0.828016	+	0.560705i	$0.189470\pi$
$79$	4.33487	+	13.3414i	0.487711	+	1.50102i	−0.340305	+	0.940315i	$0.610530\pi$
$80$	0.397301	+	2.20049i	0.0444196	+	0.246022i
$81$	−1.16740	+	3.59288i	−0.129711	+	0.399209i
$82$	−2.36371			−0.261028
$83$	−0.924928	+	2.84663i	−0.101524	+	0.312459i	−0.988899	−	0.148590i	$-0.952527\pi$
$83$	−0.924928	+	2.84663i	−0.101524	+	0.312459i	0.887375	+	0.461049i	$0.152527\pi$
$84$	−3.17349	+	2.30568i	−0.346256	+	0.251570i
$85$	−9.36398	−	8.96890i	−1.01567	−	0.972813i
$86$	2.73306	+	1.98568i	0.294713	+	0.214122i
$87$	−1.35596	+	0.985165i	−0.145374	+	0.105621i
$88$	2.17371	−	1.57929i	0.231718	−	0.168353i
$89$	−0.242971	−	0.176529i	−0.0257549	−	0.0187120i	0.574833	−	0.818271i	$-0.305067\pi$
$89$	−0.242971	−	0.176529i	−0.0257549	−	0.0187120i	−0.600588	+	0.799558i	$0.705067\pi$
$90$	−1.19899	+	2.48405i	−0.126384	+	0.261842i
$91$	−7.16113	+	5.20286i	−0.750690	+	0.545408i
$92$	−0.185931	+	0.572237i	−0.0193847	+	0.0596599i
$93$	2.84894			0.295422
$94$	−1.13189	+	3.48360i	−0.116745	+	0.359306i
$95$	−1.61484	−	1.54671i	−0.165679	−	0.158689i
$96$	−0.410709	−	1.26403i	−0.0419179	−	0.129010i
$97$	−1.78101	−	5.48139i	−0.180834	−	0.556551i	0.819017	−	0.573769i	$-0.194519\pi$
$97$	−1.78101	−	5.48139i	−0.180834	−	0.556551i	−0.999852	+	0.0172179i	$0.994519\pi$
$98$	−1.38401	−	1.00554i	−0.139806	−	0.101575i
$99$	3.31433			0.333102
$100$	2.76193	−	4.16794i	0.276193	−	0.416794i
$101$	−7.04938			−0.701440			−0.350720	−	0.936480i	$-0.614063\pi$
$101$	−7.04938			−0.701440			−0.350720	+	0.936480i	$0.614063\pi$
$102$	6.23507	+	4.53004i	0.617364	+	0.448541i
$103$	−2.78205	−	8.56227i	−0.274124	−	0.843666i	−0.989450	−	0.144875i	$-0.953722\pi$
$103$	−2.78205	−	8.56227i	−0.274124	−	0.843666i	0.715326	−	0.698790i	$-0.246278\pi$
$104$	−0.926784	−	2.85235i	−0.0908787	−	0.279696i
$105$	8.69088	+	1.18516i	0.848143	+	0.115660i
$106$	3.00480	−	9.24783i	0.291852	−	0.898229i
$107$	−18.8694			−1.82417			−0.912086	−	0.409998i	$-0.865529\pi$
$107$	−18.8694			−1.82417			−0.912086	+	0.409998i	$0.865529\pi$
$108$	1.73875	−	5.35133i	0.167312	−	0.514932i
$109$	4.32941	−	3.14550i	0.414682	−	0.301284i	−0.360812	−	0.932638i	$-0.617501\pi$
$109$	4.32941	−	3.14550i	0.414682	−	0.301284i	0.775495	+	0.631354i	$0.217501\pi$
$110$	−5.95288	−	0.811786i	−0.567585	−	0.0774007i
$111$	2.65850	+	1.93152i	0.252334	+	0.183331i
$112$	2.38773	−	1.73479i	0.225619	−	0.163922i
$113$	−0.305348	+	0.221848i	−0.0287247	+	0.0208697i	−0.602055	−	0.798455i	$-0.705651\pi$
$113$	−0.305348	+	0.221848i	−0.0287247	+	0.0208697i	0.573330	+	0.819324i	$0.305651\pi$
$114$	1.07525	+	0.781216i	0.100706	+	0.0731675i
$115$	1.18533	−	0.636490i	0.110533	−	0.0593530i
$116$	1.02022	−	0.741236i	0.0947254	−	0.0688221i
$117$	1.14322	−	3.51848i	0.105691	−	0.325283i
$118$	3.60043			0.331446
$119$	−5.28860	+	16.2766i	−0.484806	+	1.49208i
$120$	−1.29186	+	2.67646i	−0.117930	+	0.244326i
$121$	−1.16834	−	3.59580i	−0.106213	−	0.326891i
$122$	1.92853	+	5.93540i	0.174601	+	0.537365i
$123$	−2.54158	−	1.84657i	−0.229167	−	0.166499i
$124$	−2.14354			−0.192496
$125$	−10.9067	+	2.45865i	−0.975520	+	0.219909i
$126$	3.64066			0.324335
$127$	9.79462	+	7.11621i	0.869132	+	0.631461i	0.930354	−	0.366663i	$-0.119500\pi$
$127$	9.79462	+	7.11621i	0.869132	+	0.631461i	−0.0612221	+	0.998124i	$0.519500\pi$
$128$	0.309017	+	0.951057i	0.0273135	+	0.0840623i
$129$	1.38748	+	4.27022i	0.122161	+	0.375972i
$130$	−2.91514	+	6.03954i	−0.255674	+	0.529703i
$131$	2.12433	−	6.53801i	0.185603	−	0.571229i	−0.814355	−	0.580367i	$-0.802909\pi$
$131$	2.12433	−	6.53801i	0.185603	−	0.571229i	0.999958	+	0.00913865i	$0.00290896\pi$
$132$	3.57105			0.310820
$133$	−0.912031	+	2.80694i	−0.0790831	+	0.243393i
$134$	−6.82235	+	4.95673i	−0.589361	+	0.428196i
$135$	−11.0847	+	5.95220i	−0.954023	+	0.512283i
$136$	−4.69125	−	3.40840i	−0.402272	−	0.292268i
$137$	−11.1478	+	8.09932i	−0.952417	+	0.691971i	−0.951377	−	0.308028i	$-0.900331\pi$
$137$	−11.1478	+	8.09932i	−0.952417	+	0.691971i	−0.00103944	+	0.999999i	$0.500331\pi$
$138$	−0.646964	+	0.470047i	−0.0550732	+	0.0400130i
$139$	−8.84712	−	6.42781i	−0.750403	−	0.545200i	0.145549	−	0.989351i	$-0.453505\pi$
$139$	−8.84712	−	6.42781i	−0.750403	−	0.545200i	−0.895952	+	0.444151i	$0.853505\pi$
$140$	−6.53900	−	0.891714i	−0.552646	−	0.0753636i
$141$	−3.93851	+	2.86149i	−0.331682	+	0.240981i
$142$	1.43120	−	4.40478i	0.120104	−	0.369641i
$143$	8.05823			0.673863
$144$	−0.381184	+	1.17316i	−0.0317653	+	0.0977636i
$145$	−2.79397	−	0.381010i	−0.232027	−	0.0316411i
$146$	1.37968	+	4.24622i	0.114183	+	0.351420i
$147$	−0.702614	−	2.16243i	−0.0579507	−	0.178354i
$148$	−2.00025	−	1.45327i	−0.164420	−	0.119458i
$149$	21.4070			1.75373			0.876866	−	0.480735i	$-0.159630\pi$
$149$	21.4070			1.75373			0.876866	+	0.480735i	$0.159630\pi$
$150$	6.22583	−	2.32392i	0.508337	−	0.189747i
$151$	6.98431			0.568375			0.284188	−	0.958769i	$-0.408276\pi$
$151$	6.98431			0.568375			0.284188	+	0.958769i	$0.408276\pi$
$152$	−0.809017	−	0.587785i	−0.0656199	−	0.0476757i
$153$	−2.21037	−	6.80283i	−0.178698	−	0.549977i
$154$	2.45049	+	7.54183i	0.197466	+	0.607738i
$155$	3.46147	+	3.31543i	0.278032	+	0.266301i
$156$	1.23177	−	3.79101i	0.0986208	−	0.303524i
$157$	5.99617			0.478546			0.239273	−	0.970952i	$-0.423091\pi$
$157$	5.99617			0.478546			0.239273	+	0.970952i	$0.423091\pi$
$158$	4.33487	−	13.3414i	0.344864	−	1.06138i
$159$	10.4555	−	7.59634i	0.829172	−	0.602429i
$160$	0.971992	−	2.01376i	0.0768427	−	0.159202i
$161$	−1.43666	−	1.04380i	−0.113225	−	0.0822627i
$162$	3.05628	−	2.22052i	0.240124	−	0.174461i
$163$	12.7751	−	9.28163i	1.00062	−	0.726993i	0.0383990	−	0.999262i	$-0.487774\pi$
$163$	12.7751	−	9.28163i	1.00062	−	0.726993i	0.962221	+	0.272270i	$0.0877742\pi$
$164$	1.91228	+	1.38935i	0.149324	+	0.108490i
$165$	−5.76666	−	5.52336i	−0.448934	−	0.429993i
$166$	2.42149	−	1.75932i	0.187944	−	0.136549i
$167$	4.53095	−	13.9448i	0.350615	−	1.07908i	−0.607893	−	0.794019i	$-0.707985\pi$
$167$	4.53095	−	13.9448i	0.350615	−	1.07908i	0.958509	−	0.285064i	$-0.0920148\pi$
$168$	3.92265			0.302639
$169$	−1.23767	+	3.80915i	−0.0952052	+	0.293011i
$170$	2.30383	+	12.7600i	0.176696	+	0.978647i
$171$	−0.381184	−	1.17316i	−0.0291499	−	0.0897141i
$172$	−1.04394	−	3.21290i	−0.0795993	−	0.244982i
$173$	11.8499	+	8.60948i	0.900934	+	0.654567i	0.938706	−	0.344720i	$-0.112026\pi$
$173$	11.8499	+	8.60948i	0.900934	+	0.654567i	−0.0377721	+	0.999286i	$0.512026\pi$
$174$	1.67606			0.127062
$175$	9.18021	+	11.5539i	0.693958	+	0.873391i
$176$	−2.68685			−0.202529
$177$	3.87136	+	2.81271i	0.290990	+	0.211416i
$178$	0.0928067	+	0.285630i	0.00695616	+	0.0214088i
$179$	2.59321	+	7.98109i	0.193826	+	0.596535i	0.999988	+	0.00484047i	$0.00154077\pi$
$179$	2.59321	+	7.98109i	0.193826	+	0.596535i	−0.806162	+	0.591694i	$0.798459\pi$
$180$	2.43009	−	1.30489i	0.181128	−	0.0972607i
$181$	8.27501	−	25.4679i	0.615077	−	1.89301i	0.214614	−	0.976699i	$-0.431151\pi$
$181$	8.27501	−	25.4679i	0.615077	−	1.89301i	0.400463	−	0.916313i	$-0.368849\pi$
$182$	8.85164			0.656127
$183$	−2.56317	+	7.88864i	−0.189475	+	0.583145i
$184$	0.486774	−	0.353662i	0.0358855	−	0.0260723i
$185$	0.982306	+	5.44060i	0.0722205	+	0.400001i
$186$	−2.30484	−	1.67457i	−0.168999	−	0.122785i
$187$	12.6047	−	9.15784i	0.921746	−	0.669688i
$188$	2.96332	−	2.15298i	0.216123	−	0.157022i
$189$	13.4351	+	9.76117i	0.977259	+	0.710020i
$190$	0.397301	+	2.20049i	0.0288232	+	0.159640i
$191$	3.60428	−	2.61867i	0.260797	−	0.189480i	−0.449701	−	0.893179i	$-0.648470\pi$
$191$	3.60428	−	2.61867i	0.260797	−	0.189480i	0.710498	+	0.703699i	$0.248470\pi$
$192$	−0.410709	+	1.26403i	−0.0296404	+	0.0912238i
$193$	20.2397			1.45689			0.728444	−	0.685106i	$-0.240244\pi$
$193$	20.2397			1.45689			0.728444	+	0.685106i	$0.240244\pi$
$194$	−1.78101	+	5.48139i	−0.127869	+	0.393541i
$195$	−7.85269	+	4.21668i	−0.562343	+	0.301962i
$196$	0.528646	+	1.62700i	0.0377604	+	0.116215i
$197$	−3.16128	−	9.72941i	−0.225232	−	0.693192i	−0.998268	−	0.0588300i	$-0.981263\pi$
$197$	−3.16128	−	9.72941i	−0.225232	−	0.693192i	0.773036	−	0.634362i	$-0.218737\pi$
$198$	−2.68135	−	1.94811i	−0.190555	−	0.138446i
$199$	23.2168			1.64580			0.822899	−	0.568188i	$-0.192355\pi$
$199$	23.2168			1.64580			0.822899	+	0.568188i	$0.192355\pi$
$200$	−4.68430	+	1.74851i	−0.331230	+	0.123638i
$201$	−11.2080			−0.790552
$202$	5.70307	+	4.14352i	0.401267	+	0.291537i
$203$	1.15013	+	3.53974i	0.0807234	+	0.248441i
$204$	−2.38158	−	7.32976i	−0.166744	−	0.513186i
$205$	−0.939103	−	5.20131i	−0.0655898	−	0.363276i
$206$	−2.78205	+	8.56227i	−0.193835	+	0.596562i
$207$	0.742202			0.0515866
$208$	−0.926784	+	2.85235i	−0.0642609	+	0.197775i
$209$	2.17371	−	1.57929i	0.150358	−	0.109242i
$210$	−6.33445	−	6.06719i	−0.437118	−	0.418676i
$211$	16.4724	+	11.9679i	1.13400	+	0.823902i	0.986273	−	0.165126i	$-0.0528030\pi$
$211$	16.4724	+	11.9679i	1.13400	+	0.823902i	0.147731	+	0.989028i	$0.452803\pi$
$212$	−7.86667	+	5.71547i	−0.540285	+	0.392540i
$213$	4.97998	−	3.61817i	0.341223	−	0.247913i
$214$	15.2657	+	11.0911i	1.04354	+	0.758175i
$215$	−3.28363	+	6.80298i	−0.223942	+	0.463959i
$216$	−4.55212	+	3.30731i	−0.309732	+	0.225034i
$217$	1.95498	−	6.01680i	0.132712	−	0.408447i
$218$	−5.35145			−0.362446
$219$	−1.83371	+	5.64359i	−0.123911	+	0.381358i
$220$	4.33883	+	4.15576i	0.292524	+	0.280182i
$221$	−5.37415	−	16.5399i	−0.361505	−	1.11260i
$222$	−1.01546	−	3.12526i	−0.0681531	−	0.209754i
$223$	20.9385	+	15.2127i	1.40214	+	1.01872i	0.994407	+	0.105618i	$0.0336822\pi$
$223$	20.9385	+	15.2127i	1.40214	+	1.01872i	0.407738	+	0.913099i	$0.366318\pi$
$224$	−2.95140			−0.197198
$225$	−5.94248	−	1.65145i	−0.396165	−	0.110096i
$226$	0.377431			0.0251063
$227$	−0.302559	−	0.219822i	−0.0200816	−	0.0145901i	0.577699	−	0.816250i	$-0.303951\pi$
$227$	−0.302559	−	0.219822i	−0.0200816	−	0.0145901i	−0.597781	+	0.801660i	$0.703951\pi$
$228$	−0.410709	−	1.26403i	−0.0271999	−	0.0837127i
$229$	−5.54788	−	17.0746i	−0.366614	−	1.12832i	−0.948964	−	0.315384i	$-0.897867\pi$
$229$	−5.54788	−	17.0746i	−0.366614	−	1.12832i	0.582350	−	0.812938i	$-0.302133\pi$
$230$	−1.33307	−	0.181789i	−0.0879002	−	0.0119868i
$231$	−3.25691	+	10.0237i	−0.214289	+	0.659513i
$232$	−1.26107			−0.0827931
$233$	−4.08084	+	12.5595i	−0.267344	+	0.822802i	0.723800	+	0.690010i	$0.242394\pi$
$233$	−4.08084	+	12.5595i	−0.267344	+	0.822802i	−0.991144	+	0.132791i	$0.957606\pi$
$234$	−2.99300	+	2.17454i	−0.195658	+	0.142154i
$235$	−8.11532	−	1.10667i	−0.529385	−	0.0721915i
$236$	−2.91281	−	2.11628i	−0.189608	−	0.137758i
$237$	15.0835	−	10.9588i	0.979782	−	0.711853i
$238$	13.8457	−	10.0595i	0.897486	−	0.652062i
$239$	−12.2988	−	8.93564i	−0.795546	−	0.577998i	0.114058	−	0.993474i	$-0.463615\pi$
$239$	−12.2988	−	8.93564i	−0.795546	−	0.577998i	−0.909604	+	0.415476i	$0.863615\pi$
$240$	2.61832	−	1.40596i	0.169012	−	0.0907545i
$241$	−15.1049	+	10.9744i	−0.972993	+	0.706921i	−0.956132	−	0.292937i	$-0.905367\pi$
$241$	−15.1049	+	10.9744i	−0.972993	+	0.706921i	−0.0168616	+	0.999858i	$0.505367\pi$
$242$	−1.16834	+	3.59580i	−0.0751041	+	0.231147i
$243$	−11.8592			−0.760768
$244$	1.92853	−	5.93540i	0.123461	−	0.379975i
$245$	1.66282	−	3.44501i	0.106234	−	0.220094i
$246$	0.970797	+	2.98781i	0.0618958	+	0.190496i
$247$	−0.926784	−	2.85235i	−0.0589699	−	0.181491i
$248$	1.73416	+	1.25994i	0.110119	+	0.0800064i
$249$	3.97812			0.252103
$250$	10.2688	+	4.42168i	0.649458	+	0.279651i
$251$	8.91837			0.562923			0.281461	−	0.959573i	$-0.409181\pi$
$251$	8.91837			0.562923			0.281461	+	0.959573i	$0.409181\pi$
$252$	−2.94535	−	2.13992i	−0.185540	−	0.134803i
$253$	0.499569	+	1.53752i	0.0314076	+	0.0966628i
$254$	−3.74121	−	11.5143i	−0.234744	−	0.722469i
$255$	−7.49111	+	15.5200i	−0.469112	+	0.971899i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	−2.84220			−0.177291			−0.0886456	−	0.996063i	$-0.528254\pi$
$257$	−2.84220			−0.177291			−0.0886456	+	0.996063i	$0.528254\pi$
$258$	1.38748	−	4.27022i	0.0863806	−	0.265852i
$259$	5.90354	−	4.28917i	0.366828	−	0.266516i
$260$	5.90835	−	3.17262i	0.366420	−	0.196757i
$261$	−1.25848	−	0.914342i	−0.0778982	−	0.0565964i
$262$	−5.56156	+	4.04071i	−0.343595	+	0.249636i
$263$	7.58048	−	5.50754i	0.467432	−	0.339609i	−0.329007	−	0.944327i	$-0.606714\pi$
$263$	7.58048	−	5.50754i	0.467432	−	0.339609i	0.796440	+	0.604718i	$0.206714\pi$
$264$	−2.88904	−	2.09901i	−0.177808	−	0.129185i
$265$	21.5436	+	2.93786i	1.32341	+	0.180472i
$266$	2.38773	−	1.73479i	0.146401	−	0.106367i
$267$	−0.123348	+	0.379626i	−0.00754877	+	0.0232327i
$268$	8.43289			0.515121
$269$	−5.84227	+	17.9806i	−0.356209	+	1.09630i	0.599096	+	0.800677i	$0.295527\pi$
$269$	−5.84227	+	17.9806i	−0.356209	+	1.09630i	−0.955305	+	0.295622i	$0.904473\pi$
$270$	12.4664	+	1.70002i	0.758678	+	0.103460i
$271$	−6.64861	−	20.4623i	−0.403874	−	1.24300i	−0.921831	−	0.387591i	$-0.873307\pi$
$271$	−6.64861	−	20.4623i	−0.403874	−	1.24300i	0.517957	−	0.855407i	$-0.326693\pi$
$272$	1.79190	+	5.51490i	0.108650	+	0.334390i
$273$	9.51773	+	6.91504i	0.576040	+	0.418517i
$274$	13.7794			0.832443
$275$	−0.578758	−	13.4218i	−0.0349004	−	0.809363i
$276$	0.799691			0.0481357
$277$	2.80571	+	2.03847i	0.168579	+	0.122480i	0.668876	−	0.743374i	$-0.266776\pi$
$277$	2.80571	+	2.03847i	0.168579	+	0.122480i	−0.500297	+	0.865854i	$0.666776\pi$
$278$	3.37930	+	10.4004i	0.202677	+	0.623776i
$279$	0.817083	+	2.51472i	0.0489175	+	0.150553i
$280$	4.76603	+	4.56494i	0.284824	+	0.272807i
$281$	1.55726	−	4.79275i	0.0928982	−	0.285911i	−0.893802	−	0.448462i	$-0.851972\pi$
$281$	1.55726	−	4.79275i	0.0928982	−	0.285911i	0.986700	+	0.162550i	$0.0519720\pi$
$282$	4.86826			0.289901
$283$	−0.237179	+	0.729962i	−0.0140988	+	0.0433917i	−0.957858	−	0.287241i	$-0.907262\pi$
$283$	−0.237179	+	0.729962i	−0.0140988	+	0.0433917i	0.943760	+	0.330632i	$0.107262\pi$
$284$	−3.74693	+	2.72230i	−0.222339	+	0.161539i
$285$	−1.29186	+	2.67646i	−0.0765231	+	0.158540i
$286$	−6.51924	−	4.73651i	−0.385491	−	0.280076i
$287$	−5.64389	+	4.10053i	−0.333149	+	0.242047i
$288$	0.997953	−	0.725055i	0.0588049	−	0.0427243i
$289$	−13.4499	−	9.77195i	−0.791172	−	0.574820i
$290$	2.03642	+	1.95050i	0.119583	+	0.114537i
$291$	−6.19718	+	4.50252i	−0.363285	+	0.263942i
$292$	1.37968	−	4.24622i	0.0807398	−	0.248492i
$293$	28.2341			1.64945			0.824726	−	0.565533i	$-0.191329\pi$
$293$	28.2341			1.64945			0.824726	+	0.565533i	$0.191329\pi$
$294$	−0.702614	+	2.16243i	−0.0409773	+	0.126115i
$295$	1.43045	+	7.92270i	0.0832842	+	0.461278i
$296$	0.764029	+	2.35144i	0.0444083	+	0.136675i
$297$	−4.67177	−	14.3782i	−0.271083	−	0.834309i
$298$	−17.3186	−	12.5827i	−1.00324	−	0.728898i
$299$	1.80454			0.104359
$300$	−6.40277	−	1.77936i	−0.369664	−	0.102732i
$301$	9.97054			0.574692
$302$	−5.65043	−	4.10528i	−0.325146	−	0.236232i
$303$	2.89525	+	8.91066i	0.166328	+	0.511904i
$304$	0.309017	+	0.951057i	0.0177233	+	0.0545468i
$305$	−12.2946	+	6.60184i	−0.703985	+	0.378020i
$306$	−2.21037	+	6.80283i	−0.126359	+	0.388892i
$307$	−2.48627			−0.141899			−0.0709495	−	0.997480i	$-0.522603\pi$
$307$	−2.48627			−0.141899			−0.0709495	+	0.997480i	$0.522603\pi$
$308$	2.45049	−	7.54183i	0.139630	−	0.429736i
$309$	−9.68038	+	7.03321i	−0.550698	+	0.400105i
$310$	−0.851630	−	4.71684i	−0.0483694	−	0.267898i
$311$	−11.9648	−	8.69294i	−0.678462	−	0.492931i	0.194385	−	0.980925i	$-0.437729\pi$
$311$	−11.9648	−	8.69294i	−0.678462	−	0.492931i	−0.872847	+	0.487994i	$0.837729\pi$
$312$	−3.22483	+	2.34297i	−0.182570	+	0.132645i
$313$	24.2980	−	17.6536i	1.37341	−	0.997838i	0.375944	−	0.926642i	$-0.377318\pi$
$313$	24.2980	−	17.6536i	1.37341	−	0.997838i	0.997462	−	0.0711961i	$-0.0226816\pi$
$314$	−4.85100	−	3.52446i	−0.273758	−	0.198897i
$315$	1.44644	+	8.01122i	0.0814974	+	0.451381i
$316$	−11.3488	+	8.24541i	−0.638422	+	0.463841i
$317$	0.576144	−	1.77319i	0.0323595	−	0.0995923i	−0.933572	−	0.358389i	$-0.883326\pi$
$317$	0.576144	−	1.77319i	0.0323595	−	0.0995923i	0.965932	+	0.258797i	$0.0833261\pi$
$318$	−12.9237			−0.724723
$319$	1.04704	−	3.22246i	0.0586230	−	0.180423i
$320$	−1.97002	+	1.05784i	−0.110127	+	0.0591353i
$321$	7.74983	+	23.8515i	0.432554	+	1.33126i
$322$	0.548757	+	1.68890i	0.0305810	+	0.0941187i
$323$	−4.69125	−	3.40840i	−0.261028	−	0.189648i
$324$	−3.77777			−0.209876
$325$	−14.4481	−	4.01521i	−0.801438	−	0.222724i
$326$	−15.7908			−0.874574
$327$	−5.75415	−	4.18063i	−0.318205	−	0.231190i
$328$	−0.730426	−	2.24802i	−0.0403310	−	0.124126i
$329$	3.34065	+	10.2815i	0.184176	+	0.566836i
$330$	1.41878	+	7.85805i	0.0781012	+	0.432571i
$331$	−6.03148	+	18.5630i	−0.331520	+	1.02031i	0.636891	+	0.770954i	$0.280220\pi$
$331$	−6.03148	+	18.5630i	−0.331520	+	1.02031i	−0.968411	+	0.249359i	$0.919780\pi$
$332$	−2.99313			−0.164269
$333$	−0.942458	+	2.90059i	−0.0516464	+	0.158951i
$334$	−11.8622	+	8.61837i	−0.649069	+	0.471576i
$335$	−13.6177	−	13.0432i	−0.744017	−	0.712626i
$336$	−3.17349	−	2.30568i	−0.173128	−	0.125785i
$337$	−4.31925	+	3.13812i	−0.235284	+	0.170944i	−0.699180	−	0.714946i	$-0.746451\pi$
$337$	−4.31925	+	3.13812i	−0.235284	+	0.170944i	0.463895	+	0.885890i	$0.346451\pi$
$338$	3.24026	−	2.35418i	0.176247	−	0.128051i
$339$	0.405833	+	0.294855i	0.0220418	+	0.0160143i
$340$	5.63630	−	11.6772i	0.305671	−	0.633286i
$341$	−4.65943	+	3.38527i	−0.252322	+	0.183323i
$342$	−0.381184	+	1.17316i	−0.0206121	+	0.0634374i
$343$	15.6107			0.842899
$344$	−1.04394	+	3.21290i	−0.0562852	+	0.173228i
$345$	−1.29137	−	1.23689i	−0.0695251	−	0.0665917i
$346$	−4.52627	−	13.9304i	−0.243334	−	0.748905i
$347$	0.248515	+	0.764851i	0.0133410	+	0.0410593i	0.957505	−	0.288415i	$-0.0931284\pi$
$347$	0.248515	+	0.764851i	0.0133410	+	0.0410593i	−0.944164	+	0.329475i	$0.893128\pi$
$348$	−1.35596	−	0.985165i	−0.0726872	−	0.0528104i
$349$	15.4270			0.825788			0.412894	−	0.910779i	$-0.364518\pi$
$349$	15.4270			0.825788			0.412894	+	0.910779i	$0.364518\pi$
$350$	−0.635742	−	14.7433i	−0.0339819	−	0.788061i
$351$	−16.8753			−0.900738
$352$	2.17371	+	1.57929i	0.115859	+	0.0841764i
$353$	3.28777	+	10.1187i	0.174990	+	0.538565i	0.999633	−	0.0270889i	$-0.00862372\pi$
$353$	3.28777	+	10.1187i	0.174990	+	0.538565i	−0.824643	+	0.565654i	$0.808624\pi$
$354$	−1.47873	−	4.55106i	−0.0785936	−	0.241886i
$355$	10.2613	+	1.39932i	0.544612	+	0.0742680i
$356$	0.0928067	−	0.285630i	0.00491875	−	0.0151383i
$357$	22.7463			1.20386
$358$	2.59321	−	7.98109i	0.137056	−	0.421814i
$359$	15.0355	−	10.9240i	0.793546	−	0.576545i	−0.115468	−	0.993311i	$-0.536837\pi$
$359$	15.0355	−	10.9240i	0.793546	−	0.576545i	0.909014	+	0.416766i	$0.136837\pi$
$360$	−2.73298	−	0.372692i	−0.144041	−	0.0196426i
$361$	−0.809017	−	0.587785i	−0.0425798	−	0.0309361i
$362$	−21.6643	+	15.7400i	−1.13865	+	0.827277i
$363$	−4.06536	+	2.95365i	−0.213376	+	0.155027i
$364$	−7.16113	−	5.20286i	−0.375345	−	0.272704i
$365$	−8.79562	+	4.72300i	−0.460384	+	0.247213i
$366$	6.71047	−	4.87544i	0.350762	−	0.254844i
$367$	−9.26038	+	28.5005i	−0.483388	+	1.48772i	0.350914	+	0.936408i	$0.385871\pi$
$367$	−9.26038	+	28.5005i	−0.483388	+	1.48772i	−0.834302	+	0.551308i	$0.814129\pi$
$368$	−0.601686			−0.0313651
$369$	0.901008	−	2.77302i	0.0469046	−	0.144357i
$370$	2.40320	−	4.97892i	0.124936	−	0.258842i
$371$	−8.86836	−	27.2940i	−0.460422	−	1.41703i
$372$	0.880372	+	2.70951i	0.0456452	+	0.140481i
$373$	4.99049	+	3.62580i	0.258398	+	0.187737i	0.709440	−	0.704765i	$-0.248948\pi$
$373$	4.99049	+	3.62580i	0.258398	+	0.187737i	−0.451043	+	0.892502i	$0.648948\pi$
$374$	−15.5803			−0.805636
$375$	7.58728	+	12.7766i	0.391806	+	0.659780i
$376$	−3.66287			−0.188898
$377$	−3.05979	−	2.22307i	−0.157587	−	0.114494i
$378$	−5.13175	−	15.7939i	−0.263949	−	0.812350i
$379$	−0.332278	−	1.02265i	−0.0170680	−	0.0525298i	0.942160	−	0.335164i	$-0.108792\pi$
$379$	−0.332278	−	1.02265i	−0.0170680	−	0.0525298i	−0.959228	+	0.282634i	$0.908792\pi$
$380$	0.971992	−	2.01376i	0.0498621	−	0.103304i
$381$	4.97238	−	15.3034i	0.254743	−	0.784018i
$382$	−4.45514			−0.227945
$383$	−11.6767	+	35.9373i	−0.596653	+	1.83631i	−0.0503347	+	0.998732i	$0.516029\pi$
$383$	−11.6767	+	35.9373i	−0.596653	+	1.83631i	−0.546319	+	0.837578i	$0.683971\pi$
$384$	1.07525	−	0.781216i	0.0548712	−	0.0398662i
$385$	−15.6221	+	8.38865i	−0.796178	+	0.427525i
$386$	−16.3743	−	11.8966i	−0.833429	−	0.605522i
$387$	−3.37133	+	2.44941i	−0.171374	+	0.124511i
$388$	4.66275	−	3.38768i	0.236715	−	0.171984i
$389$	9.82040	+	7.13494i	0.497914	+	0.361756i	0.808220	−	0.588881i	$-0.200431\pi$
$389$	9.82040	+	7.13494i	0.497914	+	0.361756i	−0.310306	+	0.950637i	$0.600431\pi$
$390$	8.83146	+	1.20433i	0.447198	+	0.0609838i
$391$	2.82266	−	2.05078i	0.142748	−	0.103713i
$392$	0.528646	−	1.62700i	0.0267006	−	0.0821761i
$393$	−9.13675			−0.460888
$394$	−3.16128	+	9.72941i	−0.159263	+	0.490161i
$395$	31.0798	+	4.23830i	1.56379	+	0.213252i
$396$	1.02418	+	3.15211i	0.0514672	+	0.158400i
$397$	−8.87522	−	27.3151i	−0.445434	−	1.37091i	−0.882007	−	0.471237i	$-0.843808\pi$
$397$	−8.87522	−	27.3151i	−0.445434	−	1.37091i	0.436572	−	0.899669i	$-0.356192\pi$
$398$	−18.7828	−	13.6465i	−0.941497	−	0.684038i
$399$	3.92265			0.196378
$400$	4.81743	+	1.33879i	0.240872	+	0.0669395i
$401$	−5.13627			−0.256493			−0.128246	−	0.991742i	$-0.540935\pi$
$401$	−5.13627			−0.256493			−0.128246	+	0.991742i	$0.540935\pi$
$402$	9.06747	+	6.58790i	0.452244	+	0.328575i
$403$	1.98660	+	6.11413i	0.0989596	+	0.304566i
$404$	−2.17838	−	6.70436i	−0.108378	−	0.333555i
$405$	6.10049	+	5.84310i	0.303136	+	0.290346i
$406$	1.15013	−	3.53974i	0.0570801	−	0.175674i
$407$	−6.64310			−0.329286
$408$	−2.38158	+	7.32976i	−0.117906	+	0.362877i
$409$	−7.88833	+	5.73121i	−0.390053	+	0.283390i	−0.765477	−	0.643463i	$-0.777497\pi$
$409$	−7.88833	+	5.73121i	−0.390053	+	0.283390i	0.375424	+	0.926853i	$0.377497\pi$
$410$	−2.29751	+	4.75994i	−0.113466	+	0.235077i
$411$	14.8163	+	10.7647i	0.730834	+	0.530982i
$412$	7.28350	−	5.29177i	0.358832	−	0.260707i
$413$	8.59685	−	6.24598i	0.423023	−	0.307344i
$414$	−0.600454	−	0.436255i	−0.0295107	−	0.0214408i
$415$	4.83342	+	4.62949i	0.237263	+	0.227253i
$416$	2.42635	−	1.76285i	0.118962	−	0.0864308i
$417$	−4.49137	+	13.8230i	−0.219943	+	0.676916i
$418$	−2.68685			−0.131418
$419$	2.45353	−	7.55119i	0.119863	−	0.368900i	−0.873067	−	0.487600i	$-0.837873\pi$
$419$	2.45353	−	7.55119i	0.119863	−	0.368900i	0.992930	+	0.118700i	$0.0378726\pi$
$420$	1.55847	+	8.63175i	0.0760456	+	0.421186i
$421$	3.94789	+	12.1503i	0.192408	+	0.592172i	0.999997	+	0.00242562i	$0.000772099\pi$
$421$	3.94789	+	12.1503i	0.192408	+	0.592172i	−0.807589	+	0.589746i	$0.799228\pi$
$422$	−6.29188	−	19.3644i	−0.306284	−	0.942645i
$423$	−3.65537	−	2.65578i	−0.177730	−	0.129129i
$424$	9.72374			0.472227
$425$	−27.1629	+	10.1391i	−1.31760	+	0.491819i
$426$	−6.15560			−0.298240
$427$	14.9014	+	10.8265i	0.721131	+	0.523933i
$428$	−5.83096	−	17.9459i	−0.281850	−	0.867446i
$429$	−3.30959	−	10.1859i	−0.159789	−	0.491778i
$430$	6.65520	−	3.57366i	0.320942	−	0.172337i
$431$	−5.15763	+	15.8735i	−0.248434	+	0.764602i	0.746618	+	0.665253i	$0.231676\pi$
$431$	−5.15763	+	15.8735i	−0.248434	+	0.764602i	−0.995053	+	0.0993493i	$0.968324\pi$
$432$	5.62672			0.270716
$433$	−2.85150	+	8.77602i	−0.137034	+	0.421749i	−0.995901	−	0.0904509i	$-0.971169\pi$
$433$	−2.85150	+	8.77602i	−0.137034	+	0.421749i	0.858866	+	0.512200i	$0.171169\pi$
$434$	−5.11819	+	3.71859i	−0.245681	+	0.178498i
$435$	0.665901	+	3.68816i	0.0319275	+	0.176834i
$436$	4.32941	+	3.14550i	0.207341	+	0.150642i
$437$	0.486774	−	0.353662i	0.0232856	−	0.0169180i
$438$	4.80072	−	3.48793i	0.229387	−	0.166660i
$439$	−21.4684	−	15.5977i	−1.02463	−	0.744440i	−0.0574057	−	0.998351i	$-0.518283\pi$
$439$	−21.4684	−	15.5977i	−1.02463	−	0.744440i	−0.967227	+	0.253911i	$0.918283\pi$
$440$	−1.06749	−	5.91238i	−0.0508904	−	0.281862i
$441$	1.70723	−	1.24038i	0.0812967	−	0.0590655i
$442$	−5.37415	+	16.5399i	−0.255622	+	0.786725i
$443$	−17.7887			−0.845168			−0.422584	−	0.906324i	$-0.638877\pi$
$443$	−17.7887			−0.845168			−0.422584	+	0.906324i	$0.638877\pi$
$444$	−1.01546	+	3.12526i	−0.0481915	+	0.148318i
$445$	−0.591653	+	0.317701i	−0.0280470	+	0.0150605i
$446$	−7.99779	−	24.6147i	−0.378706	−	1.16554i
$447$	−8.79206	−	27.0592i	−0.415850	−	1.27986i
$448$	2.38773	+	1.73479i	0.112810	+	0.0819610i
$449$	21.0462			0.993233			0.496616	−	0.867970i	$-0.334576\pi$
$449$	21.0462			0.993233			0.496616	+	0.867970i	$0.334576\pi$
$450$	3.83687	+	4.82895i	0.180872	+	0.227639i
$451$	6.35093			0.299053
$452$	−0.305348	−	0.221848i	−0.0143624	−	0.0104349i
$453$	−2.86852	−	8.82841i	−0.134775	−	0.414795i
$454$	0.115567	+	0.355680i	0.00542385	+	0.0166929i
$455$	3.51676	+	19.4779i	0.164868	+	0.913140i
$456$	−0.410709	+	1.26403i	−0.0192332	+	0.0591938i
$457$	−11.9310			−0.558108			−0.279054	−	0.960275i	$-0.590021\pi$
$457$	−11.9310			−0.558108			−0.279054	+	0.960275i	$0.590021\pi$
$458$	−5.54788	+	17.0746i	−0.259235	+	0.797844i
$459$	−26.3964	+	19.1781i	−1.23208	+	0.895157i
$460$	0.971626	+	0.930631i	0.0453023	+	0.0433909i
$461$	24.5263	+	17.8194i	1.14230	+	0.829933i	0.987439	−	0.158003i	$-0.0505054\pi$
$461$	24.5263	+	17.8194i	1.14230	+	0.829933i	0.154866	+	0.987935i	$0.450505\pi$
$462$	8.52669	−	6.19500i	0.396698	−	0.288218i
$463$	−5.89277	+	4.28135i	−0.273860	+	0.198971i	−0.716235	−	0.697859i	$-0.754136\pi$
$463$	−5.89277	+	4.28135i	−0.273860	+	0.198971i	0.442375	+	0.896830i	$0.354136\pi$
$464$	1.02022	+	0.741236i	0.0473627	+	0.0344110i
$465$	2.76915	−	5.73709i	0.128416	−	0.266051i
$466$	10.6838	−	7.76221i	0.494916	−	0.359577i
$467$	−9.79781	+	30.1546i	−0.453389	+	1.39539i	0.419628	+	0.907696i	$0.362161\pi$
$467$	−9.79781	+	30.1546i	−0.453389	+	1.39539i	−0.873016	+	0.487691i	$0.837839\pi$
$468$	3.69955			0.171012
$469$	−7.69106	+	23.6706i	−0.355140	+	1.09301i
$470$	5.91494	+	5.66538i	0.272836	+	0.261325i
$471$	−2.46268	−	7.57936i	−0.113474	−	0.349238i
$472$	1.11259	+	3.42421i	0.0512113	+	0.157612i
$473$	−7.34332	−	5.33523i	−0.337646	−	0.245314i
$474$	−18.6443			−0.856361
$475$	−4.68430	+	1.74851i	−0.214931	+	0.0802272i
$476$	−17.1143			−0.784432
$477$	9.70383	+	7.05025i	0.444308	+	0.322809i
$478$	4.69774	+	14.4582i	0.214870	+	0.661301i
$479$	−7.10952	−	21.8809i	−0.324842	−	0.999762i	−0.971512	−	0.236992i	$-0.923839\pi$
$479$	−7.10952	−	21.8809i	−0.324842	−	0.999762i	0.646669	−	0.762770i	$-0.276161\pi$
$480$	−2.94467	−	0.401560i	−0.134405	−	0.0183286i
$481$	−2.29143	+	7.05229i	−0.104480	+	0.321557i
$482$	18.6707			0.850427
$483$	−0.729343	+	2.24469i	−0.0331863	+	0.102137i
$484$	3.05877	−	2.22232i	0.139035	−	0.101015i
$485$	−12.7693	−	1.74134i	−0.579826	−	0.0790700i
$486$	9.59429	+	6.97066i	0.435206	+	0.316196i
$487$	−9.64570	+	7.00801i	−0.437088	+	0.317563i	−0.784477	−	0.620158i	$-0.787068\pi$
$487$	−9.64570	+	7.00801i	−0.437088	+	0.317563i	0.347389	+	0.937721i	$0.387068\pi$
$488$	−5.04895	+	3.66828i	−0.228555	+	0.166055i
$489$	−16.9791	−	12.3361i	−0.767822	−	0.557856i
$490$	−3.37017	+	1.80969i	−0.152249	+	0.0817534i
$491$	22.1080	−	16.0624i	0.997720	−	0.724886i	0.0361222	−	0.999347i	$-0.488499\pi$
$491$	22.1080	−	16.0624i	0.997720	−	0.724886i	0.961598	+	0.274461i	$0.0884995\pi$
$492$	0.970797	−	2.98781i	0.0437669	−	0.134701i
$493$	−7.31256			−0.329341
$494$	−0.926784	+	2.85235i	−0.0416980	+	0.128333i
$495$	3.22150	−	6.67426i	0.144796	−	0.299986i
$496$	−0.662391	−	2.03863i	−0.0297422	−	0.0915371i
$497$	−4.22404	−	13.0002i	−0.189474	−	0.583141i
$498$	−3.21836	−	2.33828i	−0.144218	−	0.104781i
$499$	26.8358			1.20134			0.600668	−	0.799499i	$-0.294901\pi$
$499$	26.8358			1.20134			0.600668	+	0.799499i	$0.294901\pi$
$500$	−5.70866	−	9.61308i	−0.255299	−	0.429910i
$501$	−19.4876			−0.870643
$502$	−7.21512	−	5.24209i	−0.322026	−	0.233966i
$503$	−6.30858	−	19.4158i	−0.281286	−	0.865709i	−0.987487	−	0.157698i	$-0.949593\pi$
$503$	−6.30858	−	19.4158i	−0.281286	−	0.865709i	0.706202	−	0.708011i	$-0.250407\pi$
$504$	1.12502	+	3.46247i	0.0501126	+	0.154231i
$505$	−6.85195	+	14.1958i	−0.304908	+	0.631704i
$506$	0.499569	−	1.53752i	0.0222086	−	0.0683509i
$507$	5.32321			0.236412
$508$	−3.74121	+	11.5143i	−0.165989	+	0.510863i
$509$	12.5186	−	9.09527i	0.554876	−	0.403141i	−0.274704	−	0.961529i	$-0.588580\pi$
$509$	12.5186	−	9.09527i	0.554876	−	0.403141i	0.829580	+	0.558388i	$0.188580\pi$
$510$	15.1829	−	8.15277i	0.672308	−	0.361011i
$511$	10.6606	+	7.74538i	0.471597	+	0.342635i
$512$	−0.809017	+	0.587785i	−0.0357538	+	0.0259767i
$513$	−4.55212	+	3.30731i	−0.200981	+	0.146021i
$514$	2.29938	+	1.67060i	0.101421	+	0.0736870i
$515$	−19.9465	−	2.72007i	−0.878947	−	0.119861i
$516$	−3.63246	+	2.63914i	−0.159910	+	0.116182i
$517$	3.04122	−	9.35990i	0.133752	−	0.411648i
$518$	−7.29717			−0.320619
$519$	6.01579	−	18.5147i	0.264064	−	0.812705i
$520$	−6.64477	−	0.906139i	−0.291393	−	0.0397368i
$521$	−1.75776	−	5.40984i	−0.0770090	−	0.237009i	0.905140	−	0.425113i	$-0.139766\pi$
$521$	−1.75776	−	5.40984i	−0.0770090	−	0.237009i	−0.982149	+	0.188104i	$0.939766\pi$
$522$	0.480698	+	1.47944i	0.0210396	+	0.0647532i
$523$	−21.9876	−	15.9749i	−0.961451	−	0.698535i	−0.00796367	−	0.999968i	$-0.502535\pi$
$523$	−21.9876	−	15.9749i	−0.961451	−	0.698535i	−0.953487	+	0.301433i	$0.902535\pi$
$524$	6.87447			0.300313
$525$	10.8341	−	16.3494i	0.472839	−	0.713545i
$526$	−9.36999			−0.408551
$527$	10.0559	+	7.30604i	0.438042	+	0.318256i
$528$	1.10351	+	3.39627i	0.0480243	+	0.147804i
$529$	−6.99552	−	21.5300i	−0.304153	−	0.936087i
$530$	−15.7023	−	15.0398i	−0.682063	−	0.653286i
$531$	−1.37243	+	4.22389i	−0.0595582	+	0.183301i
$532$	−2.95140			−0.127959
$533$	2.19065	−	6.74212i	0.0948875	−	0.292034i
$534$	0.322929	−	0.234622i	0.0139745	−	0.0101531i
$535$	−18.3409	+	37.9984i	−0.792946	+	1.64282i
$536$	−6.82235	−	4.95673i	−0.294681	−	0.214098i
$537$	9.02331	−	6.55582i	0.389385	−	0.282904i
$538$	15.2953	−	11.1127i	0.659425	−	0.479100i
$539$	3.71863	+	2.70175i	0.160173	+	0.116372i
$540$	−9.08625	−	8.70289i	−0.391010	−	0.374513i
$541$	34.1030	−	24.7772i	1.46620	−	1.06526i	0.484508	−	0.874787i	$-0.338999\pi$
$541$	34.1030	−	24.7772i	1.46620	−	1.06526i	0.981693	−	0.190470i	$-0.0610012\pi$
$542$	−6.64861	+	20.4623i	−0.285582	+	0.878932i
$543$	−35.5909			−1.52735
$544$	1.79190	−	5.51490i	0.0768271	−	0.236449i
$545$	−2.12613	−	11.7758i	−0.0910735	−	0.504420i
$546$	−3.63545	−	11.1888i	−0.155583	−	0.478835i
$547$	−10.8612	−	33.4273i	−0.464390	−	1.42925i	−0.859748	−	0.510719i	$-0.829379\pi$
$547$	−10.8612	−	33.4273i	−0.464390	−	1.42925i	0.395357	−	0.918527i	$-0.370621\pi$
$548$	−11.1478	−	8.09932i	−0.476208	−	0.345986i
$549$	−7.69831			−0.328556
$550$	−7.42089	+	11.1986i	−0.316428	+	0.477511i
$551$	−1.26107			−0.0537232
$552$	−0.646964	−	0.470047i	−0.0275366	−	0.0200065i
$553$	−12.7939	−	39.3756i	−0.544052	−	1.67442i
$554$	−1.07169	−	3.29832i	−0.0455316	−	0.140132i
$555$	6.47365	−	3.47617i	0.274791	−	0.147555i
$556$	3.37930	−	10.4004i	0.143314	−	0.441076i
$557$	−27.4550			−1.16331			−0.581653	−	0.813437i	$-0.697594\pi$
$557$	−27.4550			−1.16331			−0.581653	+	0.813437i	$0.697594\pi$
$558$	0.817083	−	2.51472i	0.0345899	−	0.106457i
$559$	−8.19682	+	5.95534i	−0.346688	+	0.251884i
$560$	−1.17259	−	6.49451i	−0.0495510	−	0.274443i
$561$	−16.7527	−	12.1715i	−0.707299	−	0.513883i
$562$	−4.07695	+	2.96208i	−0.171976	+	0.124948i
$563$	−21.4884	+	15.6122i	−0.905626	+	0.657976i	−0.939905	−	0.341437i	$-0.889087\pi$
$563$	−21.4884	+	15.6122i	−0.905626	+	0.657976i	0.0342789	+	0.999412i	$0.489087\pi$
$564$	−3.93851	−	2.86149i	−0.165841	−	0.120491i
$565$	0.149954	+	0.830532i	0.00630859	+	0.0349408i
$566$	0.620943	−	0.451141i	0.0261002	−	0.0189629i
$567$	3.44545	−	10.6040i	0.144695	−	0.445326i
$568$	4.63146			0.194332
$569$	−1.23908	+	3.81349i	−0.0519448	+	0.159870i	−0.973664	−	0.227989i	$-0.926785\pi$
$569$	−1.23908	+	3.81349i	−0.0519448	+	0.159870i	0.921719	+	0.387858i	$0.126785\pi$
$570$	2.61832	−	1.40596i	0.109669	−	0.0588893i
$571$	−6.57684	−	20.2414i	−0.275232	−	0.847078i	−0.989158	−	0.146856i	$-0.953085\pi$
$571$	−6.57684	−	20.2414i	−0.275232	−	0.847078i	0.713926	−	0.700222i	$-0.246915\pi$
$572$	2.49013	+	7.66383i	0.104118	+	0.320441i
$573$	−4.79039	−	3.48042i	−0.200122	−	0.145397i
$574$	6.97624			0.291183
$575$	−0.129606	−	3.00564i	−0.00540493	−	0.125344i
$576$	−1.23354			−0.0513974
$577$	14.2366	+	10.3435i	0.592677	+	0.430605i	0.843272	−	0.537487i	$-0.180626\pi$
$577$	14.2366	+	10.3435i	0.592677	+	0.430605i	−0.250595	+	0.968092i	$0.580626\pi$
$578$	5.13742	+	15.8113i	0.213688	+	0.657665i
$579$	−8.31265	−	25.5837i	−0.345462	−	1.06322i
$580$	−0.501023	−	2.77496i	−0.0208038	−	0.115224i
$581$	2.72983	−	8.40154i	0.113252	−	0.348555i
$582$	7.66014			0.317523
$583$	−8.07345	+	24.8475i	−0.334368	+	1.02908i
$584$	−3.61205	+	2.62431i	−0.149468	+	0.108595i
$585$	−5.97417	−	5.72211i	−0.247002	−	0.236580i
$586$	−22.8418	−	16.5956i	−0.943588	−	0.685556i
$587$	33.1468	−	24.0826i	1.36812	−	0.993995i	0.370235	−	0.928938i	$-0.379277\pi$
$587$	33.1468	−	24.0826i	1.36812	−	0.993995i	0.997882	−	0.0650567i	$-0.0207228\pi$
$588$	1.83947	−	1.33645i	0.0758584	−	0.0551144i
$589$	1.73416	+	1.25994i	0.0714549	+	0.0519150i
$590$	3.49959	−	7.25040i	0.144076	−	0.298494i
$591$	−10.9999	+	7.99192i	−0.452477	+	0.328744i
$592$	0.764029	−	2.35144i	0.0314014	−	0.0966435i
$593$	42.4014			1.74122			0.870608	−	0.491977i	$-0.163725\pi$
$593$	42.4014			1.74122			0.870608	+	0.491977i	$0.163725\pi$
$594$	−4.67177	+	14.3782i	−0.191685	+	0.589946i
$595$	27.6368	+	26.4708i	1.13300	+	1.08520i
$596$	6.61513	+	20.3593i	0.270966	+	0.833949i
$597$	−9.53537	−	29.3469i	−0.390257	−	1.20109i
$598$	−1.45990	−	1.06068i	−0.0596999	−	0.0433745i
$599$	−2.91129			−0.118952			−0.0594760	−	0.998230i	$-0.518943\pi$
$599$	−2.91129			−0.118952			−0.0594760	+	0.998230i	$0.518943\pi$
$600$	4.13407	+	5.20299i	0.168773	+	0.212411i
$601$	18.8796			0.770116			0.385058	−	0.922892i	$-0.374181\pi$
$601$	18.8796			0.770116			0.385058	+	0.922892i	$0.374181\pi$
$602$	−8.06634	−	5.86054i	−0.328759	−	0.238858i
$603$	−3.21448	−	9.89316i	−0.130904	−	0.402880i
$604$	2.15827	+	6.64248i	0.0878188	+	0.270279i
$605$	−8.37669	−	1.14232i	−0.340561	−	0.0464418i
$606$	2.89525	−	8.91066i	0.117611	−	0.361971i
$607$	−23.3267			−0.946801			−0.473400	−	0.880847i	$-0.656974\pi$
$607$	−23.3267			−0.946801			−0.473400	+	0.880847i	$0.656974\pi$
$608$	0.309017	−	0.951057i	0.0125323	−	0.0385704i
$609$	4.00198	−	2.90761i	0.162169	−	0.117822i
$610$	13.8270	+	1.88557i	0.559838	+	0.0763443i
$611$	−8.88742	−	6.45709i	−0.359546	−	0.261226i
$612$	5.78684	−	4.20438i	0.233919	−	0.169952i
$613$	−24.8783	+	18.0751i	−1.00482	+	0.730048i	−0.963117	−	0.269082i	$-0.913280\pi$
$613$	−24.8783	+	18.0751i	−1.00482	+	0.730048i	−0.0417074	+	0.999130i	$0.513280\pi$
$614$	2.01144	+	1.46139i	0.0811750	+	0.0589771i
$615$	−6.18894	+	3.32329i	−0.249562	+	0.134008i
$616$	−6.41547	+	4.66111i	−0.258487	+	0.187801i
$617$	−10.5890	+	32.5895i	−0.426296	+	1.31200i	0.475452	+	0.879742i	$0.342285\pi$
$617$	−10.5890	+	32.5895i	−0.426296	+	1.31200i	−0.901748	+	0.432263i	$0.857715\pi$
$618$	11.9656			0.481327
$619$	5.67097	−	17.4534i	0.227935	−	0.701513i	−0.770045	−	0.637990i	$-0.779766\pi$
$619$	5.67097	−	17.4534i	0.227935	−	0.701513i	0.997980	−	0.0635233i	$-0.0202337\pi$
$620$	−2.08350	+	4.31658i	−0.0836756	+	0.173358i
$621$	−1.04618	−	3.21982i	−0.0419819	−	0.129207i
$622$	4.57015	+	14.0655i	0.183246	+	0.563974i
$623$	0.717104	+	0.521006i	0.0287302	+	0.0208737i
$624$	3.98610			0.159572
$625$	−5.65004	+	24.3532i	−0.226001	+	0.974127i
$626$	−30.0340			−1.20040
$627$	−2.88904	−	2.09901i	−0.115377	−	0.0838263i
$628$	1.85292	+	5.70270i	0.0739395	+	0.227562i
$629$	4.43038	+	13.6353i	0.176651	+	0.543675i
$630$	3.53869	−	7.33141i	0.140985	−	0.292090i
$631$	−1.43402	+	4.41345i	−0.0570874	+	0.175697i	−0.975534	−	0.219847i	$-0.929444\pi$
$631$	−1.43402	+	4.41345i	−0.0570874	+	0.175697i	0.918447	+	0.395544i	$0.129444\pi$
$632$	14.0279			0.558001
$633$	8.36243	−	25.7369i	0.332377	−	1.02295i
$634$	−1.50837	+	1.09589i	−0.0599048	+	0.0435234i
$635$	23.8506	−	12.8071i	0.946483	−	0.508235i
$636$	10.4555	+	7.59634i	0.414586	+	0.301214i
$637$	4.15084	−	3.01577i	0.164462	−	0.119489i
$638$	−2.74119	+	1.99159i	−0.108525	+	0.0788478i
$639$	4.62198	+	3.35806i	0.182843	+	0.132843i
$640$	2.21556	+	0.302133i	0.0875778	+	0.0119429i
$641$	16.1679	−	11.7467i	0.638595	−	0.463967i	−0.220772	−	0.975325i	$-0.570858\pi$
$641$	16.1679	−	11.7467i	0.638595	−	0.463967i	0.859367	+	0.511359i	$0.170858\pi$
$642$	7.74983	−	23.8515i	0.305862	−	0.941345i
$643$	−33.5477			−1.32299			−0.661496	−	0.749949i	$-0.730078\pi$
$643$	−33.5477			−1.32299			−0.661496	+	0.749949i	$0.730078\pi$
$644$	0.548757	−	1.68890i	0.0216240	−	0.0665519i
$645$	9.94781	+	1.35657i	0.391695	+	0.0534148i
$646$	1.79190	+	5.51490i	0.0705013	+	0.216981i
$647$	7.75565	+	23.8694i	0.304906	+	0.938405i	0.979712	+	0.200410i	$0.0642273\pi$
$647$	7.75565	+	23.8694i	0.304906	+	0.938405i	−0.674806	+	0.737995i	$0.735773\pi$
$648$	3.05628	+	2.22052i	0.120062	+	0.0872303i
$649$	−9.67381			−0.379730
$650$	9.32871	+	11.7408i	0.365902	+	0.460511i
$651$	−8.40836			−0.329550
$652$	12.7751	+	9.28163i	0.500310	+	0.363496i
$653$	12.1772	+	37.4775i	0.476530	+	1.46661i	0.843883	+	0.536527i	$0.180264\pi$
$653$	12.1772	+	37.4775i	0.476530	+	1.46661i	−0.367353	+	0.930082i	$0.619736\pi$
$654$	2.19789	+	6.76441i	0.0859443	+	0.264509i
$655$	−11.1012	−	10.6328i	−0.433758	−	0.415457i
$656$	−0.730426	+	2.24802i	−0.0285183	+	0.0877704i
$657$	−5.50743			−0.214865
$658$	3.34065	−	10.2815i	0.130232	−	0.400813i
$659$	28.2532	−	20.5271i	1.10059	−	0.799623i	0.119432	−	0.992842i	$-0.461893\pi$
$659$	28.2532	−	20.5271i	1.10059	−	0.799623i	0.981156	+	0.193219i	$0.0618928\pi$
$660$	3.47103	−	7.19123i	0.135110	−	0.279918i
$661$	32.4697	+	23.5906i	1.26292	+	0.917568i	0.998897	−	0.0469476i	$-0.0149494\pi$
$661$	32.4697	+	23.5906i	1.26292	+	0.917568i	0.264026	+	0.964515i	$0.414949\pi$
$662$	15.7906	−	11.4725i	0.613719	−	0.445893i
$663$	−18.6998	+	13.5862i	−0.726241	+	0.527645i
$664$	2.42149	+	1.75932i	0.0939721	+	0.0682747i
$665$	4.76603	+	4.56494i	0.184819	+	0.177021i
$666$	2.46739	−	1.79266i	0.0956093	−	0.0694642i
$667$	0.234472	−	0.721629i	0.00907878	−	0.0279416i
$668$	14.6624			0.567307
$669$	10.6297	−	32.7149i	0.410969	−	1.26483i
$670$	3.35039	+	18.5565i	0.129437	+	0.716899i
$671$	−5.18166	−	15.9475i	−0.200036	−	0.615647i
$672$	1.21217	+	3.73066i	0.0467603	+	0.143913i
$673$	−21.6737	−	15.7469i	−0.835459	−	0.606996i	0.0856395	−	0.996326i	$-0.472707\pi$
$673$	−21.6737	−	15.7469i	−0.835459	−	0.606996i	−0.921098	+	0.389330i	$0.872707\pi$
$674$	5.33888			0.205646
$675$	1.21202	+	28.1075i	0.0466506	+	1.08186i
$676$	−4.00518			−0.154045
$677$	27.2011	+	19.7628i	1.04542	+	0.759545i	0.971337	−	0.237706i	$-0.0763956\pi$
$677$	27.2011	+	19.7628i	1.04542	+	0.759545i	0.0740875	+	0.997252i	$0.476396\pi$
$678$	−0.155014	−	0.477085i	−0.00595329	−	0.0183223i
$679$	5.25647	+	16.1777i	0.201725	+	0.620845i
$680$	−11.4236	+	6.13413i	−0.438073	+	0.235233i
$681$	−0.153599	+	0.472728i	−0.00588592	+	0.0181150i
$682$	5.75937			0.220538
$683$	−10.7680	+	33.1406i	−0.412028	+	1.26809i	0.502855	+	0.864371i	$0.332283\pi$
$683$	−10.7680	+	33.1406i	−0.412028	+	1.26809i	−0.914883	+	0.403720i	$0.867717\pi$
$684$	0.997953	−	0.725055i	0.0381577	−	0.0277232i
$685$	5.47456	+	30.3214i	0.209172	+	1.15852i
$686$	−12.6293	−	9.17575i	−0.482190	−	0.350332i
$687$	−19.3043	+	14.0254i	−0.736506	+	0.535103i
$688$	2.73306	−	1.98568i	0.104197	−	0.0757035i
$689$	23.5932	+	17.1415i	0.898830	+	0.653039i
$690$	0.317718	+	1.75971i	0.0120953	+	0.0669911i
$691$	−12.9419	+	9.40284i	−0.492333	+	0.357701i	−0.806081	−	0.591806i	$-0.798415\pi$
$691$	−12.9419	+	9.40284i	−0.492333	+	0.357701i	0.313748	+	0.949506i	$0.398415\pi$
$692$	−4.52627	+	13.9304i	−0.172063	+	0.529555i
$693$	−9.78189			−0.371583
$694$	0.248515	−	0.764851i	0.00943350	−	0.0290333i
$695$	−21.5434	+	11.5682i	−0.817188	+	0.438807i
$696$	0.517932	+	1.59403i	0.0196322	+	0.0604216i
$697$	−4.23553	−	13.0356i	−0.160432	−	0.493759i
$698$	−12.4807	−	9.06776i	−0.472401	−	0.343220i
$699$	17.5517			0.663866
$700$	−8.15155	+	12.3012i	−0.308100	+	0.464943i
$701$	39.2404			1.48209			0.741044	−	0.671457i	$-0.234331\pi$
$701$	39.2404			1.48209			0.741044	+	0.671457i	$0.234331\pi$
$702$	13.6524	+	9.91906i	0.515277	+	0.374371i
$703$	0.764029	+	2.35144i	0.0288159	+	0.0886862i
$704$	−0.830282	−	2.55535i	−0.0312924	−	0.0963082i
$705$	1.93416	+	10.7126i	0.0728448	+	0.403458i
$706$	3.28777	−	10.1187i	0.123737	−	0.380823i
$707$	20.8055			0.782472
$708$	−1.47873	+	4.55106i	−0.0555741	+	0.171039i
$709$	−24.2929	+	17.6498i	−0.912338	+	0.662853i	−0.941605	−	0.336719i	$-0.890683\pi$
$709$	−24.2929	+	17.6498i	−0.912338	+	0.662853i	0.0292667	+	0.999572i	$0.490683\pi$
$710$	−7.47906	−	7.16350i	−0.280684	−	0.268841i
$711$	13.9992	+	10.1710i	0.525011	+	0.381443i
$712$	−0.242971	+	0.176529i	−0.00910573	+	0.00661570i
$713$	−1.04342	+	0.758089i	−0.0390764	+	0.0283907i
$714$	−18.4022	−	13.3699i	−0.688683	−	0.500358i
$715$	7.83253	−	16.2273i	0.292920	−	0.606868i
$716$	−6.78912	+	4.93259i	−0.253721	+	0.184339i
$717$	−6.24369	+	19.2161i	−0.233175	+	0.717639i
$718$	−18.5850			−0.693585
$719$	−12.2094	+	37.5765i	−0.455332	+	1.40137i	0.415413	+	0.909633i	$0.363637\pi$
$719$	−12.2094	+	37.5765i	−0.455332	+	1.40137i	−0.870745	+	0.491735i	$0.836363\pi$
$720$	1.99196	+	1.90792i	0.0742361	+	0.0711039i
$721$	8.21093	+	25.2706i	0.305791	+	0.941128i
$722$	0.309017	+	0.951057i	0.0115004	+	0.0353947i
$723$	20.0757	+	14.5858i	0.746623	+	0.542454i
$724$	26.7785			0.995215
$725$	−3.48298	+	5.25605i	−0.129355	+	0.195205i
$726$	5.02506			0.186497
$727$	3.02272	+	2.19613i	0.112106	+	0.0814501i	0.642426	−	0.766348i	$-0.277928\pi$
$727$	3.02272	+	2.19613i	0.112106	+	0.0814501i	−0.530320	+	0.847798i	$0.677928\pi$
$728$	2.73531	+	8.41841i	0.101377	+	0.312007i
$729$	8.37287	+	25.7691i	0.310106	+	0.954409i
$730$	9.89192	+	1.34895i	0.366116	+	0.0499268i
$731$	−6.05348	+	18.6307i	−0.223896	+	0.689081i
$732$	−8.29460			−0.306577
$733$	15.8937	−	48.9159i	0.587048	−	1.80675i	−0.00383552	−	0.999993i	$-0.501221\pi$
$733$	15.8937	−	48.9159i	0.587048	−	1.80675i	0.590884	−	0.806757i	$-0.298779\pi$
$734$	24.2440	−	17.6143i	0.894862	−	0.650156i
$735$	−5.03754	−	0.686962i	−0.185813	−	0.0253390i
$736$	0.486774	+	0.353662i	0.0179427	+	0.0130362i
$737$	18.3306	−	13.3180i	0.675217	−	0.490574i
$738$	−2.35887	+	1.71382i	−0.0868311	+	0.0630865i
$739$	−36.8410	−	26.7666i	−1.35522	−	0.984624i	−0.998733	−	0.0503237i	$-0.983975\pi$
$739$	−36.8410	−	26.7666i	−1.35522	−	0.984624i	−0.356486	−	0.934301i	$-0.616025\pi$
$740$	−4.87077	+	2.61546i	−0.179053	+	0.0961464i
$741$	−3.22483	+	2.34297i	−0.118467	+	0.0860713i
$742$	−8.86836	+	27.2940i	−0.325568	+	1.00199i
$743$	−14.1408			−0.518775			−0.259387	−	0.965773i	$-0.583521\pi$
$743$	−14.1408			−0.518775			−0.259387	+	0.965773i	$0.583521\pi$
$744$	0.880372	−	2.70951i	0.0322760	−	0.0993354i
$745$	20.8075	−	43.1086i	0.762326	−	1.57938i
$746$	−1.90620	−	5.86667i	−0.0697909	−	0.214794i
$747$	1.14093	+	3.51143i	0.0417445	+	0.128476i
$748$	12.6047	+	9.15784i	0.460873	+	0.334844i
$749$	55.6910			2.03491
$750$	1.37164	−	14.7962i	0.0500853	−	0.540279i
$751$	−2.57875			−0.0940998			−0.0470499	−	0.998893i	$-0.514982\pi$
$751$	−2.57875			−0.0940998			−0.0470499	+	0.998893i	$0.514982\pi$
$752$	2.96332	+	2.15298i	0.108061	+	0.0785111i
$753$	−3.66286	−	11.2731i	−0.133482	−	0.410815i
$754$	1.16874	+	3.59700i	0.0425629	+	0.130995i
$755$	6.78870	−	14.0647i	0.247066	−	0.511868i
$756$	−5.13175	+	15.7939i	−0.186640	+	0.574419i
$757$	−11.1660			−0.405837			−0.202918	−	0.979196i	$-0.565043\pi$
$757$	−11.1660			−0.405837			−0.202918	+	0.979196i	$0.565043\pi$
$758$	−0.332278	+	1.02265i	−0.0120689	+	0.0371442i
$759$	1.73829	−	1.26294i	0.0630961	−	0.0458420i
$760$	−1.97002	+	1.05784i	−0.0714600	+	0.0383720i
$761$	−12.6178	−	9.16737i	−0.457395	−	0.332317i	0.335114	−	0.942178i	$-0.391225\pi$
$761$	−12.6178	−	9.16737i	−0.457395	−	0.332317i	−0.792508	+	0.609861i	$0.791225\pi$
$762$	−13.0179	+	9.45803i	−0.471587	+	0.342628i
$763$	−12.7778	+	9.28362i	−0.462587	+	0.336089i
$764$	3.60428	+	2.61867i	0.130398	+	0.0947400i
$765$	−15.8477	−	2.16113i	−0.572976	−	0.0781360i
$766$	30.5701	−	22.2105i	1.10454	−	0.802497i
$767$	−3.33682	+	10.2697i	−0.120486	+	0.370817i
$768$	−1.32908			−0.0479592
$769$	13.1284	−	40.4049i	0.473421	−	1.45704i	−0.374655	−	0.927164i	$-0.622239\pi$
$769$	13.1284	−	40.4049i	0.473421	−	1.45704i	0.848076	−	0.529875i	$-0.177761\pi$
$770$	17.5693	+	2.39590i	0.633154	+	0.0863423i
$771$	1.16732	+	3.59263i	0.0420399	+	0.129385i
$772$	6.25442	+	19.2491i	0.225102	+	0.692791i
$773$	18.1332	+	13.1745i	0.652206	+	0.473855i	0.864022	−	0.503454i	$-0.167938\pi$
$773$	18.1332	+	13.1745i	0.652206	+	0.473855i	−0.211816	+	0.977310i	$0.567938\pi$
$774$	4.16719			0.149787
$775$	10.0410	−	3.74801i	0.360683	−	0.134632i
$776$	−5.76347			−0.206897
$777$	−7.84629	−	5.70067i	−0.281484	−	0.204510i
$778$	−3.75106	−	11.5446i	−0.134482	−	0.413893i
$779$	−0.730426	−	2.24802i	−0.0261702	−	0.0805437i
$780$	−6.43691	−	6.16533i	−0.230478	−	0.220754i
$781$	−3.84542	+	11.8350i	−0.137600	+	0.423489i
$782$	−3.48900			−0.124766
$783$	−2.19268	+	6.74839i	−0.0783601	+	0.241168i
$784$	−1.38401	+	1.00554i	−0.0494290	+	0.0359123i
$785$	5.82823	−	12.0748i	0.208018	−	0.430970i
$786$	7.39178	+	5.37045i	0.263656	+	0.191557i
$787$	41.6694	−	30.2746i	1.48535	−	1.07917i	0.509570	−	0.860429i	$-0.329804\pi$
$787$	41.6694	−	30.2746i	1.48535	−	1.07917i	0.975783	−	0.218743i	$-0.0701956\pi$
$788$	8.27633	−	6.01311i	0.294832	−	0.214208i
$789$	−10.0751	−	7.31998i	−0.358683	−	0.260598i
$790$	−22.6528	−	21.6971i	−0.805952	−	0.771947i
$791$	0.901202	−	0.654762i	0.0320431	−	0.0232806i
$792$	1.02418	−	3.15211i	0.0363928	−	0.112005i
$793$	−18.7171			−0.664665
$794$	−8.87522	+	27.3151i	−0.314970	+	0.969377i
$795$	−5.13458	−	28.4384i	−0.182105	−	1.00861i
$796$	7.17440	+	22.0805i	0.254290	+	0.782623i
$797$	6.06255	+	18.6586i	0.214747	+	0.660922i	0.999171	+	0.0406983i	$0.0129582\pi$
$797$	6.06255	+	18.6586i	0.214747	+	0.660922i	−0.784425	+	0.620224i	$0.787042\pi$
$798$	−3.17349	−	2.30568i	−0.112340	−	0.0816201i
$799$	−21.2399			−0.751414
$800$	−3.11046	−	3.91472i	−0.109971	−	0.138406i
$801$	−0.370467			−0.0130898
$802$	4.15533	+	3.01902i	0.146730	+	0.106605i
$803$	−3.70700	−	11.4090i	−0.130817	−	0.402614i
$804$	−3.46347	−	10.6595i	−0.122147	−	0.375930i
$805$	−3.49838	+	1.87853i	−0.123302	+	0.0662096i
$806$	1.98660	−	6.11413i	0.0699750	−	0.215361i
$807$	25.1276			0.884534
$808$	−2.17838	+	6.70436i	−0.0766351	+	0.235859i
$809$	−16.8521	+	12.2438i	−0.592488	+	0.430467i	−0.843204	−	0.537593i	$-0.819334\pi$
$809$	−16.8521	+	12.2438i	−0.592488	+	0.430467i	0.250717	+	0.968060i	$0.419334\pi$
$810$	−1.50091	−	8.31295i	−0.0527367	−	0.292087i
$811$	35.0787	+	25.4862i	1.23178	+	0.894941i	0.997022	−	0.0771122i	$-0.0245700\pi$
$811$	35.0787	+	25.4862i	1.23178	+	0.894941i	0.234759	+	0.972054i	$0.424570\pi$
$812$	−3.01108	+	2.18768i	−0.105668	+	0.0767726i
$813$	−23.1344	+	16.8081i	−0.811359	+	0.589487i
$814$	5.37438	+	3.90471i	0.188372	+	0.136860i
$815$	−6.27371	−	34.7476i	−0.219759	−	1.21715i
$816$	6.23507	−	4.53004i	0.218271	−	0.158583i
$817$	−1.04394	+	3.21290i	−0.0365227	+	0.112405i
$818$	9.75052			0.340919
$819$	−3.37410	+	10.3844i	−0.117901	+	0.362861i
$820$	4.65654	−	2.50043i	0.162614	−	0.0873190i
$821$	−0.732832	−	2.25542i	−0.0255760	−	0.0787149i	0.937454	−	0.348110i	$-0.113176\pi$
$821$	−0.732832	−	2.25542i	−0.0255760	−	0.0787149i	−0.963030	+	0.269395i	$0.913176\pi$
$822$	−5.65932	−	17.4176i	−0.197391	−	0.607508i
$823$	20.5011	+	14.8950i	0.714625	+	0.519205i	0.884662	−	0.466232i	$-0.154389\pi$
$823$	20.5011	+	14.8950i	0.714625	+	0.519205i	−0.170037	+	0.985438i	$0.554389\pi$
$824$	−9.00290			−0.313631
$825$	−16.7279	+	6.24402i	−0.582390	+	0.217389i
$826$	−10.6263			−0.369736
$827$	14.3563	+	10.4305i	0.499219	+	0.362704i	0.808719	−	0.588196i	$-0.200162\pi$
$827$	14.3563	+	10.4305i	0.499219	+	0.362704i	−0.309500	+	0.950900i	$0.600162\pi$
$828$	0.229353	+	0.705876i	0.00797057	+	0.0245309i
$829$	13.9020	+	42.7861i	0.482838	+	1.48602i	0.835088	+	0.550116i	$0.185416\pi$
$829$	13.9020	+	42.7861i	0.482838	+	1.48602i	−0.352251	+	0.935906i	$0.614584\pi$
$830$	−1.18917	−	6.58635i	−0.0412768	−	0.228615i
$831$	1.42436	−	4.38374i	0.0494106	−	0.152070i
$832$	−2.99914			−0.103976
$833$	3.06546	−	9.43453i	0.106212	−	0.326887i
$834$	11.7586	−	8.54310i	0.407166	−	0.295823i
$835$	−23.6775	−	22.6785i	−0.819393	−	0.784822i
$836$	2.17371	+	1.57929i	0.0751792	+	0.0546209i
$837$	9.75765	−	7.08934i	0.337274	−	0.245044i
$838$	−6.42343	+	4.66689i	−0.221894	+	0.161215i
$839$	−12.7601	−	9.27075i	−0.440527	−	0.320062i	0.345317	−	0.938486i	$-0.387771\pi$
$839$	−12.7601	−	9.27075i	−0.440527	−	0.320062i	−0.785844	+	0.618424i	$0.787771\pi$
$840$	3.81278	−	7.89928i	0.131554	−	0.272551i
$841$	22.1749	−	16.1110i	0.764653	−	0.555553i
$842$	3.94789	−	12.1503i	0.136053	−	0.418728i
$843$	−6.69777			−0.230684
$844$	−6.29188	+	19.3644i	−0.216575	+	0.666551i
$845$	6.46771	+	6.19483i	0.222496	+	0.213109i
$846$	1.39623	+	4.29715i	0.0480033	+	0.147739i
$847$	3.44825	+	10.6126i	0.118483	+	0.364654i
$848$	−7.86667	−	5.71547i	−0.270143	−	0.196270i
$849$	1.02011			0.0350100
$850$	27.9349	+	7.76325i	0.958159	+	0.266277i
$851$	−1.48764			−0.0509956
$852$	4.97998	+	3.61817i	0.170611	+	0.123956i
$853$	−11.0692	−	34.0674i	−0.379001	−	1.16645i	−0.940739	−	0.339131i	$-0.889867\pi$
$853$	−11.0692	−	34.0674i	−0.379001	−	1.16645i	0.561738	−	0.827315i	$-0.310133\pi$
$854$	−5.69184	−	17.5177i	−0.194771	−	0.599443i
$855$	−2.73298	−	0.372692i	−0.0934659	−	0.0127458i
$856$	−5.83096	+	17.9459i	−0.199298	+	0.613377i
$857$	38.6610			1.32063			0.660317	−	0.750987i	$-0.270422\pi$
$857$	38.6610			1.32063			0.660317	+	0.750987i	$0.270422\pi$
$858$	−3.30959	+	10.1859i	−0.112988	+	0.347740i
$859$	−4.83166	+	3.51040i	−0.164854	+	0.119773i	−0.667153	−	0.744920i	$-0.732487\pi$
$859$	−4.83166	+	3.51040i	−0.164854	+	0.119773i	0.502300	+	0.864694i	$0.332487\pi$
$860$	−7.48471	−	1.02068i	−0.255227	−	0.0348049i
$861$	7.50121	+	5.44995i	0.255640	+	0.185734i
$862$	13.5028	−	9.81039i	0.459909	−	0.334143i
$863$	−5.58243	+	4.05587i	−0.190028	+	0.138063i	−0.678732	−	0.734386i	$-0.737470\pi$
$863$	−5.58243	+	4.05587i	−0.190028	+	0.138063i	0.488703	+	0.872450i	$0.337470\pi$
$864$	−4.55212	−	3.30731i	−0.154866	−	0.112517i
$865$	28.8555	−	15.4946i	0.981115	−	0.526831i
$866$	7.46533	−	5.42388i	0.253682	−	0.184311i
$867$	−6.82805	+	21.0146i	−0.231893	+	0.713693i
$868$	6.32644			0.214733
$869$	−11.6471	+	35.8462i	−0.395102	+	1.21600i
$870$	1.62912	−	3.37519i	0.0552323	−	0.114430i
$871$	−7.81547	−	24.0535i	−0.264817	−	0.815023i
$872$	−1.65369	−	5.08953i	−0.0560009	−	0.172353i
$873$	−5.75167	−	4.17883i	−0.194665	−	0.141432i
$874$	−0.601686			−0.0203523
$875$	32.1898	−	7.25646i	1.08822	−	0.245313i
$876$	−5.93402			−0.200492
$877$	−5.85290	−	4.25238i	−0.197638	−	0.143593i	0.484565	−	0.874755i	$-0.338978\pi$
$877$	−5.85290	−	4.25238i	−0.197638	−	0.143593i	−0.682203	+	0.731163i	$0.738978\pi$
$878$	8.20022	+	25.2377i	0.276744	+	0.851730i
$879$	−11.5960	−	35.6888i	−0.391123	−	1.20375i
$880$	−2.61160	+	5.41067i	−0.0880369	+	0.182394i
$881$	−18.3132	+	56.3623i	−0.616988	+	1.89889i	−0.253181	+	0.967419i	$0.581477\pi$
$881$	−18.3132	+	56.3623i	−0.616988	+	1.89889i	−0.363807	+	0.931474i	$0.618523\pi$
$882$	−2.11025			−0.0710559
$883$	1.21771	−	3.74774i	0.0409793	−	0.126121i	−0.928474	−	0.371398i	$-0.878879\pi$
$883$	1.21771	−	3.74774i	0.0409793	−	0.126121i	0.969453	+	0.245276i	$0.0788787\pi$
$884$	14.0697	−	10.2222i	0.473216	−	0.343811i
$885$	9.42706	−	5.06207i	0.316887	−	0.170160i
$886$	14.3914	+	10.4560i	0.483488	+	0.351275i
$887$	−5.82847	+	4.23463i	−0.195701	+	0.142185i	−0.681321	−	0.731985i	$-0.738594\pi$
$887$	−5.82847	+	4.23463i	−0.195701	+	0.142185i	0.485620	+	0.874170i	$0.338594\pi$
$888$	2.65850	−	1.93152i	0.0892135	−	0.0648174i
$889$	−28.9078	−	21.0027i	−0.969536	−	0.704409i
$890$	0.665397	+	0.0907393i	0.0223042	+	0.00304159i
$891$	−8.21177	+	5.96620i	−0.275105	+	0.199875i
$892$	−7.99779	+	24.6147i	−0.267786	+	0.824160i
$893$	−3.66287			−0.122573
$894$	−8.79206	+	27.0592i	−0.294051	+	0.904995i
$895$	18.5926	+	2.53545i	0.621482	+	0.0847506i
$896$	−0.912031	−	2.80694i	−0.0304688	−	0.0937734i
$897$	−0.741141	−	2.28100i	−0.0247460	−	0.0761603i
$898$	−17.0268	−	12.3707i	−0.568190	−	0.412814i
$899$	2.70315			0.0901550
$900$	−0.265709	−	6.16196i	−0.00885696	−	0.205399i
$901$	56.3852			1.87846
$902$	−5.13801	−	3.73298i	−0.171077	−	0.124295i
$903$	−4.09499	−	12.6031i	−0.136273	−	0.419405i
$904$	0.116633	+	0.358958i	0.00387914	+	0.0119388i
$905$	−43.2429	−	41.4185i	−1.43744	−	1.37680i
$906$	−2.86852	+	8.82841i	−0.0953003	+	0.293304i
$907$	−10.1803			−0.338032			−0.169016	−	0.985613i	$-0.554059\pi$
$907$	−10.1803			−0.338032			−0.169016	+	0.985613i	$0.554059\pi$
$908$	0.115567	−	0.355680i	0.00383524	−	0.0118037i
$909$	−7.03495	+	5.11119i	−0.233335	+	0.169528i
$910$	8.60372	−	17.8251i	0.285211	−	0.590896i
$911$	15.4120	+	11.1975i	0.510624	+	0.370990i	0.813060	−	0.582180i	$-0.197800\pi$
$911$	15.4120	+	11.1975i	0.510624	+	0.370990i	−0.302436	+	0.953170i	$0.597800\pi$
$912$	1.07525	−	0.781216i	0.0356051	−	0.0258686i
$913$	−6.50618	+	4.72702i	−0.215323	+	0.156441i
$914$	9.65238	+	7.01286i	0.319272	+	0.231965i
$915$	13.3944	+	12.8293i	0.442807	+	0.424124i
$916$	14.5245	−	10.5527i	0.479904	−	0.348671i
$917$	−6.26973	+	19.2963i	−0.207045	+	0.637219i
$918$	32.6277			1.07688
$919$	10.9768	−	33.7832i	0.362092	−	1.11441i	−0.589689	−	0.807630i	$-0.700750\pi$
$919$	10.9768	−	33.7832i	0.362092	−	1.11441i	0.951782	−	0.306776i	$-0.0992502\pi$
$920$	−0.239050	−	1.32400i	−0.00788126	−	0.0436511i
$921$	1.02114	+	3.14273i	0.0336476	+	0.103557i
$922$	−9.36822	−	28.8324i	−0.308526	−	0.949545i
$923$	11.2376	+	8.16456i	0.369889	+	0.268740i
$924$	−10.5396			−0.346726
$925$	11.9109	+	3.31009i	0.391626	+	0.108835i
$926$	7.28386			0.239363
$927$	−8.98447	−	6.52760i	−0.295089	−	0.214395i
$928$	−0.389691	−	1.19935i	−0.0127922	−	0.0393704i
$929$	−8.17545	−	25.1614i	−0.268228	−	0.825520i	−0.990932	−	0.134363i	$-0.957101\pi$
$929$	−8.17545	−	25.1614i	−0.268228	−	0.825520i	0.722704	−	0.691157i	$-0.242899\pi$
$930$	−5.61247	+	3.01374i	−0.184040	+	0.0988244i
$931$	0.528646	−	1.62700i	0.0173257	−	0.0533229i
$932$	−13.2059			−0.432572
$933$	−6.07411	+	18.6942i	−0.198857	+	0.612020i
$934$	25.6510	−	18.6365i	0.839327	−	0.609807i
$935$	−6.19005	−	34.2842i	−0.202436	−	1.12121i
$936$	−2.99300	−	2.17454i	−0.0978292	−	0.0710770i
$937$	−28.1285	+	20.4366i	−0.918918	+	0.667633i	−0.943255	−	0.332071i	$-0.892253\pi$
$937$	−28.1285	+	20.4366i	−0.918918	+	0.667633i	0.0243363	+	0.999704i	$0.492253\pi$
$938$	20.1355	−	14.6293i	0.657446	−	0.477662i
$939$	−32.2941	−	23.4631i	−1.05388	−	0.765688i
$940$	−1.45526	−	8.06011i	−0.0474654	−	0.262892i
$941$	33.6115	−	24.4202i	1.09570	−	0.796076i	0.115351	−	0.993325i	$-0.463201\pi$
$941$	33.6115	−	24.4202i	1.09570	−	0.796076i	0.980353	+	0.197249i	$0.0632006\pi$
$942$	−2.46268	+	7.57936i	−0.0802385	+	0.246949i
$943$	1.42221			0.0463135
$944$	1.11259	−	3.42421i	0.0362118	−	0.111449i
$945$	32.7155	−	17.5673i	1.06423	−	0.571464i
$946$	2.80490	+	8.63258i	0.0911951	+	0.280670i
$947$	5.39521	+	16.6048i	0.175321	+	0.539582i	0.999648	−	0.0265316i	$-0.00844627\pi$
$947$	5.39521	+	16.6048i	0.175321	+	0.539582i	−0.824327	+	0.566114i	$0.808446\pi$
$948$	15.0835	+	10.9588i	0.489891	+	0.355927i
$949$	−13.3904			−0.434670
$950$	4.81743	+	1.33879i	0.156298	+	0.0434361i
$951$	−2.47800			−0.0803546
$952$	13.8457	+	10.0595i	0.448743	+	0.326031i
$953$	3.38321	+	10.4125i	0.109593	+	0.337293i	0.990781	−	0.135473i	$-0.0432555\pi$
$953$	3.38321	+	10.4125i	0.109593	+	0.337293i	−0.881188	+	0.472766i	$0.843256\pi$
$954$	−3.70653	−	11.4075i	−0.120003	−	0.369333i
$955$	−1.77003	−	9.80349i	−0.0572768	−	0.317233i
$956$	4.69774	−	14.4582i	0.151936	−	0.467610i
$957$	−4.50333			−0.145572
$958$	−7.10952	+	21.8809i	−0.229698	+	0.706939i
$959$	32.9014	−	23.9043i	1.06244	−	0.771909i
$960$	2.14625	+	2.05570i	0.0692701	+	0.0663475i
$961$	21.3623	+	15.5206i	0.689106	+	0.500665i
$962$	5.99903	−	4.35855i	0.193417	−	0.140525i
$963$	−18.8308	+	13.6813i	−0.606813	+	0.440875i
$964$	−15.1049	−	10.9744i	−0.486497	−	0.353461i
$965$	19.6729	−	40.7580i	0.633292	−	1.31205i
$966$	1.90945	−	1.38729i	0.0614354	−	0.0446354i
$967$	18.9911	−	58.4487i	0.610714	−	1.87958i	0.159415	−	0.987212i	$-0.449039\pi$
$967$	18.9911	−	58.4487i	0.610714	−	1.87958i	0.451299	−	0.892373i	$-0.350961\pi$
$968$	−3.78084			−0.121521
$969$	−2.38158	+	7.32976i	−0.0765075	+	0.235466i
$970$	9.30708	+	8.91440i	0.298832	+	0.286224i
$971$	16.4722	+	50.6963i	0.528619	+	1.62692i	0.757046	+	0.653361i	$0.226642\pi$
$971$	16.4722	+	50.6963i	0.528619	+	1.62692i	−0.228427	+	0.973561i	$0.573358\pi$
$972$	−3.66469	−	11.2788i	−0.117545	−	0.361767i
$973$	26.1114	+	18.9710i	0.837092	+	0.608183i
$974$	11.9227			0.382029
$975$	0.858622	+	19.9120i	0.0274979	+	0.637695i
$976$	6.24084			0.199765
$977$	6.51615	+	4.73426i	0.208470	+	0.151462i	0.687121	−	0.726543i	$-0.258874\pi$
$977$	6.51615	+	4.73426i	0.208470	+	0.151462i	−0.478651	+	0.878005i	$0.658874\pi$
$978$	6.48545	+	19.9602i	0.207382	+	0.638255i
$979$	−0.249358	−	0.767444i	−0.00796950	−	0.0245276i
$980$	3.79024	+	0.516869i	0.121075	+	0.0165108i
$981$	2.03989	−	6.27812i	0.0651285	−	0.200445i
$982$	−27.3270			−0.872040
$983$	11.7133	−	36.0499i	0.373597	−	1.14981i	−0.570823	−	0.821073i	$-0.693376\pi$
$983$	11.7133	−	36.0499i	0.373597	−	1.14981i	0.944420	−	0.328741i	$-0.106624\pi$
$984$	−2.54158	+	1.84657i	−0.0810226	+	0.0588664i
$985$	−22.6654	−	3.09085i	−0.722181	−	0.0984828i
$986$	5.91598	+	4.29821i	0.188403	+	0.136883i
$987$	11.6241	−	8.44539i	0.369999	−	0.268820i
$988$	2.42635	−	1.76285i	0.0771926	−	0.0560837i
$989$	−1.64444	−	1.19476i	−0.0522903	−	0.0379911i
$990$	−6.52928	+	3.50604i	−0.207514	+	0.111429i
$991$	−8.27498	+	6.01213i	−0.262864	+	0.190982i	−0.711408	−	0.702779i	$-0.751942\pi$
$991$	−8.27498	+	6.01213i	−0.262864	+	0.190982i	0.448545	+	0.893760i	$0.351942\pi$
$992$	−0.662391	+	2.03863i	−0.0210309	+	0.0647265i
$993$	25.9414			0.823226
$994$	−4.22404	+	13.0002i	−0.133978	+	0.412343i
$995$	22.5666	−	46.7531i	0.715408	−	1.48217i
$996$	1.22931	+	3.78341i	0.0389520	+	0.119882i
$997$	−5.87077	−	18.0684i	−0.185929	−	0.572231i	0.814034	−	0.580817i	$-0.197267\pi$
$997$	−5.87077	−	18.0684i	−0.185929	−	0.572231i	−0.999963	+	0.00858612i	$0.997267\pi$
$998$	−21.7106	−	15.7737i	−0.687238	−	0.499308i
$999$	13.9118			0.440149

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.h.b.191.3	✓	40
25.11	even	5	inner	950.2.h.b.761.3	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.h.b.191.3	✓	40	1.1	even	1	trivial
950.2.h.b.761.3	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)

\(f(q)\)	\(=\)	\(q+(-0.809017 - 0.587785i) q^{2} +(-0.410709 - 1.26403i) q^{3} +(0.309017 + 0.951057i) q^{4} +(0.971992 - 2.01376i) q^{5} +(-0.410709 + 1.26403i) q^{6} -2.95140 q^{7} +(0.309017 - 0.951057i) q^{8} +(0.997953 - 0.725055i) q^{9} +O(q^{10})\)	\(q+(-0.809017 - 0.587785i) q^{2} +(-0.410709 - 1.26403i) q^{3} +(0.309017 + 0.951057i) q^{4} +(0.971992 - 2.01376i) q^{5} +(-0.410709 + 1.26403i) q^{6} -2.95140 q^{7} +(0.309017 - 0.951057i) q^{8} +(0.997953 - 0.725055i) q^{9} +(-1.97002 + 1.05784i) q^{10} +(2.17371 + 1.57929i) q^{11} +(1.07525 - 0.781216i) q^{12} +(2.42635 - 1.76285i) q^{13} +(2.38773 + 1.73479i) q^{14} +(-2.94467 - 0.401560i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(1.79190 - 5.51490i) q^{17} -1.23354 q^{18} +(0.309017 - 0.951057i) q^{19} +(2.21556 + 0.302133i) q^{20} +(1.21217 + 3.73066i) q^{21} +(-0.830282 - 2.55535i) q^{22} +(0.486774 + 0.353662i) q^{23} -1.32908 q^{24} +(-3.11046 - 3.91472i) q^{25} -2.99914 q^{26} +(-4.55212 - 3.30731i) q^{27} +(-0.912031 - 2.80694i) q^{28} +(-0.389691 - 1.19935i) q^{29} +(2.14625 + 2.05570i) q^{30} +(-0.662391 + 2.03863i) q^{31} +1.00000 q^{32} +(1.10351 - 3.39627i) q^{33} +(-4.69125 + 3.40840i) q^{34} +(-2.86873 + 5.94340i) q^{35} +(0.997953 + 0.725055i) q^{36} +(-2.00025 + 1.45327i) q^{37} +(-0.809017 + 0.587785i) q^{38} +(-3.22483 - 2.34297i) q^{39} +(-1.61484 - 1.54671i) q^{40} +(1.91228 - 1.38935i) q^{41} +(1.21217 - 3.73066i) q^{42} -3.37825 q^{43} +(-0.830282 + 2.55535i) q^{44} +(-0.490085 - 2.71439i) q^{45} +(-0.185931 - 0.572237i) q^{46} +(-1.13189 - 3.48360i) q^{47} +(1.07525 + 0.781216i) q^{48} +1.71073 q^{49} +(0.215404 + 4.99536i) q^{50} -7.70697 q^{51} +(2.42635 + 1.76285i) q^{52} +(3.00480 + 9.24783i) q^{53} +(1.73875 + 5.35133i) q^{54} +(5.29314 - 2.84227i) q^{55} +(-0.912031 + 2.80694i) q^{56} -1.32908 q^{57} +(-0.389691 + 1.19935i) q^{58} +(-2.91281 + 2.11628i) q^{59} +(-0.528046 - 2.92463i) q^{60} +(-5.04895 - 3.66828i) q^{61} +(1.73416 - 1.25994i) q^{62} +(-2.94535 + 2.13992i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-1.19156 - 6.59957i) q^{65} +(-2.88904 + 2.09901i) q^{66} +(2.60591 - 8.02015i) q^{67} +5.79871 q^{68} +(0.247118 - 0.760551i) q^{69} +(5.81430 - 3.12212i) q^{70} +(1.43120 + 4.40478i) q^{71} +(-0.381184 - 1.17316i) q^{72} +(-3.61205 - 2.62431i) q^{73} +2.47245 q^{74} +(-3.67084 + 5.53954i) q^{75} +1.00000 q^{76} +(-6.41547 - 4.66111i) q^{77} +(1.23177 + 3.79101i) q^{78} +(4.33487 + 13.3414i) q^{79} +(0.397301 + 2.20049i) q^{80} +(-1.16740 + 3.59288i) q^{81} -2.36371 q^{82} +(-0.924928 + 2.84663i) q^{83} +(-3.17349 + 2.30568i) q^{84} +(-9.36398 - 8.96890i) q^{85} +(2.73306 + 1.98568i) q^{86} +(-1.35596 + 0.985165i) q^{87} +(2.17371 - 1.57929i) q^{88} +(-0.242971 - 0.176529i) q^{89} +(-1.19899 + 2.48405i) q^{90} +(-7.16113 + 5.20286i) q^{91} +(-0.185931 + 0.572237i) q^{92} +2.84894 q^{93} +(-1.13189 + 3.48360i) q^{94} +(-1.61484 - 1.54671i) q^{95} +(-0.410709 - 1.26403i) q^{96} +(-1.78101 - 5.48139i) q^{97} +(-1.38401 - 1.00554i) q^{98} +3.31433 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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