LMFDB - Embedded newform 95.2.i.b.64.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [95,2,Mod(49,95)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(95, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 4]))

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

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

chi := DirichletCharacter("95.49");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.i (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$6$ over $\Q(\zeta_{6})$
Coefficient field:	$\mathbb{Q}[x]/(x^{12} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - 6x^{10} + 29x^{8} - 40x^{6} + 43x^{4} - 7x^{2} + 1 $ x^12 - 6x^10 + 29x^8 - 40x^6 + 43x^4 - 7*x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			64.5
Root			$1.00376 - 0.579521i$ of defining polynomial
Character	$\chi$	$=$	95.64
Dual form			95.2.i.b.49.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.747190 - 0.431391i) q^{2} +(-2.66661 + 1.53957i) q^{3} +(-0.627804 + 1.08739i) q^{4} +(1.95987 + 1.07652i) q^{5} +(-1.32831 + 2.30070i) q^{6} +0.566520i q^{7} +2.80888i q^{8} +(3.24054 - 5.61278i) q^{9} +O(q^{10})$	\(q+(0.747190 - 0.431391i) q^{2} +(-2.66661 + 1.53957i) q^{3} +(-0.627804 + 1.08739i) q^{4} +(1.95987 + 1.07652i) q^{5} +(-1.32831 + 2.30070i) q^{6} +0.566520i q^{7} +2.80888i q^{8} +(3.24054 - 5.61278i) q^{9} +(1.92880 - 0.0411078i) q^{10} -1.91223 q^{11} -3.86619i q^{12} +(0.168469 + 0.0972656i) q^{13} +(0.244391 + 0.423298i) q^{14} +(-6.88359 + 0.146708i) q^{15} +(-0.0438854 - 0.0760118i) q^{16} +(4.58603 - 2.64775i) q^{17} -5.59175i q^{18} +(2.36834 - 3.65936i) q^{19} +(-2.40101 + 1.45530i) q^{20} +(-0.872196 - 1.51069i) q^{21} +(-1.42880 + 0.824918i) q^{22} +(2.92318 + 1.68770i) q^{23} +(-4.32446 - 7.49018i) q^{24} +(2.68222 + 4.21968i) q^{25} +0.167838 q^{26} +10.7187i q^{27} +(-0.616027 - 0.355664i) q^{28} +(-4.36834 + 7.56619i) q^{29} +(-5.08007 + 3.07914i) q^{30} +5.65662 q^{31} +(-4.93070 - 2.84674i) q^{32} +(5.09917 - 2.94401i) q^{33} +(2.28442 - 3.95674i) q^{34} +(-0.609869 + 1.11031i) q^{35} +(4.06885 + 7.04745i) q^{36} +0.955582i q^{37} +(0.190988 - 3.75592i) q^{38} -0.598988 q^{39} +(-3.02381 + 5.50505i) q^{40} +(-5.02496 - 8.70349i) q^{41} +(-1.30339 - 0.752514i) q^{42} +(4.27161 - 2.46622i) q^{43} +(1.20051 - 2.07934i) q^{44} +(12.3933 - 7.51185i) q^{45} +2.91223 q^{46} +(-7.65516 - 4.41971i) q^{47} +(0.234051 + 0.135129i) q^{48} +6.67906 q^{49} +(3.82446 + 1.99582i) q^{50} +(-8.15277 + 14.1210i) q^{51} +(-0.211531 + 0.122128i) q^{52} +(-7.10669 - 4.10305i) q^{53} +(4.62395 + 8.00892i) q^{54} +(-3.74773 - 2.05855i) q^{55} -1.59128 q^{56} +(-0.681609 + 13.4043i) q^{57} +7.53785i q^{58} +(1.85713 + 3.21664i) q^{59} +(4.16202 - 7.57725i) q^{60} +(1.75561 - 3.04080i) q^{61} +(4.22657 - 2.44021i) q^{62} +(3.17975 + 1.83583i) q^{63} -4.73669 q^{64} +(0.225470 + 0.371988i) q^{65} +(2.54003 - 4.39947i) q^{66} +(-3.50190 - 2.02182i) q^{67} +6.64906i q^{68} -10.3933 q^{69} +(0.0232884 + 1.09270i) q^{70} +(-2.59767 - 4.49929i) q^{71} +(15.7656 + 9.10228i) q^{72} +(-7.45136 + 4.30205i) q^{73} +(0.412229 + 0.714002i) q^{74} +(-13.6489 - 7.12278i) q^{75} +(2.49230 + 4.87268i) q^{76} -1.08332i q^{77} +(-0.447558 + 0.258398i) q^{78} +(3.31324 + 5.73870i) q^{79} +(-0.00418190 - 0.196217i) q^{80} +(-6.78057 - 11.7443i) q^{81} +(-7.50921 - 4.33544i) q^{82} +4.51737i q^{83} +2.19027 q^{84} +(11.8384 - 0.252307i) q^{85} +(2.12780 - 3.68547i) q^{86} -26.9014i q^{87} -5.37122i q^{88} +(1.68676 - 2.92155i) q^{89} +(6.01962 - 10.9591i) q^{90} +(-0.0551029 + 0.0954410i) q^{91} +(-3.67037 + 2.11909i) q^{92} +(-15.0840 + 8.70875i) q^{93} -7.62648 q^{94} +(8.58103 - 4.62233i) q^{95} +17.5310 q^{96} +(13.1568 - 7.59611i) q^{97} +(4.99053 - 2.88128i) q^{98} +(-6.19665 + 10.7329i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 2 q^{4} - 2 q^{5} - 12 q^{6} + 8 q^{9}+O(q^{10}) $ 12 * q + 2 * q^4 - 2 * q^5 - 12 * q^6 + 8 * q^9	$ 12 q + 2 q^{4} - 2 q^{5} - 12 q^{6} + 8 q^{9} + 6 q^{10} + 4 q^{11} + 22 q^{14} - 4 q^{15} - 14 q^{16} - 12 q^{19} - 40 q^{20} - 20 q^{21} + 2 q^{24} - 6 q^{25} - 44 q^{26} - 12 q^{29} + 12 q^{30} + 60 q^{31} + 10 q^{34} + 14 q^{36} + 4 q^{39} + 10 q^{40} - 12 q^{41} + 20 q^{44} + 60 q^{45} + 8 q^{46} - 4 q^{49} - 8 q^{50} - 40 q^{51} - 4 q^{54} - 18 q^{55} + 92 q^{56} + 20 q^{59} + 4 q^{60} + 2 q^{61} + 24 q^{64} - 40 q^{65} - 6 q^{66} - 36 q^{69} + 46 q^{70} + 2 q^{71} - 22 q^{74} - 56 q^{75} - 70 q^{76} + 24 q^{79} - 22 q^{80} - 14 q^{81} - 96 q^{84} + 2 q^{85} + 16 q^{86} + 36 q^{89} - 8 q^{90} + 24 q^{91} - 60 q^{94} + 46 q^{95} + 52 q^{96} - 30 q^{99}+O(q^{100}) $ 12 * q + 2 * q^4 - 2 * q^5 - 12 * q^6 + 8 * q^9 + 6 * q^10 + 4 * q^11 + 22 * q^14 - 4 * q^15 - 14 * q^16 - 12 * q^19 - 40 * q^20 - 20 * q^21 + 2 * q^24 - 6 * q^25 - 44 * q^26 - 12 * q^29 + 12 * q^30 + 60 * q^31 + 10 * q^34 + 14 * q^36 + 4 * q^39 + 10 * q^40 - 12 * q^41 + 20 * q^44 + 60 * q^45 + 8 * q^46 - 4 * q^49 - 8 * q^50 - 40 * q^51 - 4 * q^54 - 18 * q^55 + 92 * q^56 + 20 * q^59 + 4 * q^60 + 2 * q^61 + 24 * q^64 - 40 * q^65 - 6 * q^66 - 36 * q^69 + 46 * q^70 + 2 * q^71 - 22 * q^74 - 56 * q^75 - 70 * q^76 + 24 * q^79 - 22 * q^80 - 14 * q^81 - 96 * q^84 + 2 * q^85 + 16 * q^86 + 36 * q^89 - 8 * q^90 + 24 * q^91 - 60 * q^94 + 46 * q^95 + 52 * q^96 - 30 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$-1$

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 $

$2$	0.747190	−	0.431391i	0.528343	−	0.305039i	−0.211998	−	0.977270i	$-0.567997\pi$
$2$	0.747190	−	0.431391i	0.528343	−	0.305039i	0.740342	+	0.672231i	$0.234664\pi$
$3$	−2.66661	+	1.53957i	−1.53957	+	0.888870i	−0.540704	+	0.841213i	$0.681842\pi$
$3$	−2.66661	+	1.53957i	−1.53957	+	0.888870i	−0.998864	+	0.0476573i	$0.984824\pi$
$4$	−0.627804	+	1.08739i	−0.313902	+	0.543695i
$5$	1.95987	+	1.07652i	0.876483	+	0.481433i
$5$	1.95987	+	1.07652i	0.876483	+	0.481433i
$6$	−1.32831	+	2.30070i	−0.542280	+	0.939257i
$7$			0.566520i			0.214124i	0.994252	+	0.107062i	$0.0341444\pi$
$7$			0.566520i			0.214124i	−0.994252	+	0.107062i	$0.965856\pi$
$8$			2.80888i			0.993088i
$9$	3.24054	−	5.61278i	1.08018	−	1.87093i
$10$	1.92880	−	0.0411078i	0.609940	−	0.0129994i
$11$	−1.91223			−0.576559			−0.288279	−	0.957546i	$-0.593083\pi$
$11$	−1.91223			−0.576559			−0.288279	+	0.957546i	$0.593083\pi$
$12$		−	3.86619i		−	1.11607i
$13$	0.168469	+	0.0972656i	0.0467249	+	0.0269766i	0.523180	−	0.852222i	$-0.324745\pi$
$13$	0.168469	+	0.0972656i	0.0467249	+	0.0269766i	−0.476456	+	0.879199i	$0.658079\pi$
$14$	0.244391	+	0.423298i	0.0653163	+	0.113131i
$15$	−6.88359	+	0.146708i	−1.77734	+	0.0378797i
$16$	−0.0438854	−	0.0760118i	−0.0109714	−	0.0190029i
$17$	4.58603	−	2.64775i	1.11228	−	0.642173i	0.172858	−	0.984947i	$-0.444700\pi$
$17$	4.58603	−	2.64775i	1.11228	−	0.642173i	0.939418	+	0.342774i	$0.111367\pi$
$18$		−	5.59175i		−	1.31799i
$19$	2.36834	−	3.65936i	0.543335	−	0.839516i
$19$	2.36834	−	3.65936i	0.543335	−	0.839516i
$20$	−2.40101	+	1.45530i	−0.536883	+	0.325416i
$21$	−0.872196	−	1.51069i	−0.190329	−	0.329659i
$22$	−1.42880	+	0.824918i	−0.304621	+	0.175873i
$23$	2.92318	+	1.68770i	0.609525	+	0.351910i	0.772780	−	0.634674i	$-0.218866\pi$
$23$	2.92318	+	1.68770i	0.609525	+	0.351910i	−0.163254	+	0.986584i	$0.552199\pi$
$24$	−4.32446	−	7.49018i	−0.882726	−	1.52893i
$25$	2.68222	+	4.21968i	0.536444	+	0.843936i
$26$	0.167838			0.0329157
$27$			10.7187i			2.06282i
$28$	−0.616027	−	0.355664i	−0.116418	−	0.0672141i
$29$	−4.36834	+	7.56619i	−0.811181	+	1.40501i	0.100857	+	0.994901i	$0.467842\pi$
$29$	−4.36834	+	7.56619i	−0.811181	+	1.40501i	−0.912038	+	0.410106i	$0.865492\pi$
$30$	−5.08007	+	3.07914i	−0.927489	+	0.562171i
$31$	5.65662			1.01596			0.507980	−	0.861369i	$-0.330393\pi$
$31$	5.65662			1.01596			0.507980	+	0.861369i	$0.330393\pi$
$32$	−4.93070	−	2.84674i	−0.871633	−	0.503238i
$33$	5.09917	−	2.94401i	0.887651	−	0.512486i
$34$	2.28442	−	3.95674i	0.391776	−	0.678575i
$35$	−0.609869	+	1.11031i	−0.103087	+	0.187676i
$36$	4.06885	+	7.04745i	0.678142	+	1.17458i
$37$			0.955582i			0.157097i	0.996910	+	0.0785484i	$0.0250285\pi$
$37$			0.955582i			0.157097i	−0.996910	+	0.0785484i	$0.974971\pi$
$38$	0.190988	−	3.75592i	0.0309824	−	0.609291i
$39$	−0.598988			−0.0959149
$40$	−3.02381	+	5.50505i	−0.478106	+	0.870425i
$41$	−5.02496	−	8.70349i	−0.784768	−	1.35926i	−0.929138	−	0.369734i	$-0.879449\pi$
$41$	−5.02496	−	8.70349i	−0.784768	−	1.35926i	0.144370	−	0.989524i	$-0.453884\pi$
$42$	−1.30339	−	0.752514i	−0.201118	−	0.116115i
$43$	4.27161	−	2.46622i	0.651415	−	0.376094i	−0.137583	−	0.990490i	$-0.543934\pi$
$43$	4.27161	−	2.46622i	0.651415	−	0.376094i	0.788998	+	0.614396i	$0.210600\pi$
$44$	1.20051	−	2.07934i	0.180983	−	0.313472i
$45$	12.3933	−	7.51185i	1.84749	−	1.11980i
$46$	2.91223			0.429385
$47$	−7.65516	−	4.41971i	−1.11662	−	0.644681i	−0.176084	−	0.984375i	$-0.556343\pi$
$47$	−7.65516	−	4.41971i	−1.11662	−	0.644681i	−0.940536	+	0.339694i	$0.889676\pi$
$48$	0.234051	+	0.135129i	0.0337823	+	0.0195042i
$49$	6.67906			0.954151
$50$	3.82446	+	1.99582i	0.540860	+	0.282252i
$51$	−8.15277	+	14.1210i	−1.14162	+	1.97734i
$52$	−0.211531	+	0.122128i	−0.0293341	+	0.0169361i
$53$	−7.10669	−	4.10305i	−0.976179	−	0.563597i	−0.0750646	−	0.997179i	$-0.523916\pi$
$53$	−7.10669	−	4.10305i	−0.976179	−	0.563597i	−0.901114	+	0.433581i	$0.857250\pi$
$54$	4.62395	+	8.00892i	0.629240	+	1.08988i
$55$	−3.74773	−	2.05855i	−0.505344	−	0.277575i
$56$	−1.59128			−0.212644
$57$	−0.681609	+	13.4043i	−0.0902813	+	1.77545i
$58$			7.53785i			0.989768i
$59$	1.85713	+	3.21664i	0.241777	+	0.418770i	0.961221	−	0.275781i	$-0.0889363\pi$
$59$	1.85713	+	3.21664i	0.241777	+	0.418770i	−0.719443	+	0.694551i	$0.755603\pi$
$60$	4.16202	−	7.57725i	0.537315	−	0.978219i
$61$	1.75561	−	3.04080i	0.224783	−	0.389335i	−0.731472	−	0.681872i	$-0.761166\pi$
$61$	1.75561	−	3.04080i	0.224783	−	0.389335i	0.956254	+	0.292537i	$0.0944995\pi$
$62$	4.22657	−	2.44021i	0.536775	−	0.309907i
$63$	3.17975	+	1.83583i	0.400611	+	0.231293i
$64$	−4.73669			−0.592086
$65$	0.225470	+	0.371988i	0.0279661	+	0.0461395i
$66$	2.54003	−	4.39947i	0.312657	−	0.541537i
$67$	−3.50190	−	2.02182i	−0.427825	−	0.247005i	0.270594	−	0.962693i	$-0.412780\pi$
$67$	−3.50190	−	2.02182i	−0.427825	−	0.247005i	−0.698420	+	0.715688i	$0.746113\pi$
$68$			6.64906i			0.806318i
$69$	−10.3933			−1.25121
$70$	0.0232884	+	1.09270i	0.00278349	+	0.130603i
$71$	−2.59767	−	4.49929i	−0.308286	−	0.533967i	0.669701	−	0.742631i	$-0.266422\pi$
$71$	−2.59767	−	4.49929i	−0.308286	−	0.533967i	−0.977988	+	0.208663i	$0.933089\pi$
$72$	15.7656	+	9.10228i	1.85799	+	1.07271i
$73$	−7.45136	+	4.30205i	−0.872116	+	0.503516i	−0.868051	−	0.496475i	$-0.834627\pi$
$73$	−7.45136	+	4.30205i	−0.872116	+	0.503516i	−0.00406505	+	0.999992i	$0.501294\pi$
$74$	0.412229	+	0.714002i	0.0479207	+	0.0830010i
$75$	−13.6489	−	7.12278i	−1.57604	−	0.822468i
$76$	2.49230	+	4.87268i	0.285886	+	0.558934i
$77$		−	1.08332i		−	0.123455i
$78$	−0.447558	+	0.258398i	−0.0506760	+	0.0292578i
$79$	3.31324	+	5.73870i	0.372769	+	0.645654i	0.989990	−	0.141135i	$-0.0450751\pi$
$79$	3.31324	+	5.73870i	0.372769	+	0.645654i	−0.617222	+	0.786789i	$0.711742\pi$
$80$	−0.00418190	−	0.196217i	−0.000467551	−	0.0219377i
$81$	−6.78057	−	11.7443i	−0.753397	−	1.30492i
$82$	−7.50921	−	4.33544i	−0.829253	−	0.478770i
$83$			4.51737i			0.495845i	0.968780	+	0.247923i	$0.0797479\pi$
$83$			4.51737i			0.495845i	−0.968780	+	0.247923i	$0.920252\pi$
$84$	2.19027			0.238978
$85$	11.8384	−	0.252307i	1.28405	−	0.0273666i
$86$	2.12780	−	3.68547i	0.229447	−	0.397414i
$87$		−	26.9014i		−	2.88414i
$88$		−	5.37122i		−	0.572574i
$89$	1.68676	−	2.92155i	0.178796	−	0.309684i	−0.762672	−	0.646785i	$-0.776113\pi$
$89$	1.68676	−	2.92155i	0.178796	−	0.309684i	0.941468	+	0.337101i	$0.109446\pi$
$90$	6.01962	−	10.9591i	0.634524	−	1.15519i
$91$	−0.0551029	+	0.0954410i	−0.00577635	+	0.0100049i
$92$	−3.67037	+	2.11909i	−0.382663	+	0.220930i
$93$	−15.0840	+	8.70875i	−1.56414	+	0.903056i
$94$	−7.62648			−0.786612
$95$	8.58103	−	4.62233i	0.880395	−	0.474241i
$96$	17.5310			1.78925
$97$	13.1568	−	7.59611i	1.33588	−	0.771268i	0.349683	−	0.936868i	$-0.386289\pi$
$97$	13.1568	−	7.59611i	1.33588	−	0.771268i	0.986193	+	0.165600i	$0.0529561\pi$
$98$	4.99053	−	2.88128i	0.504119	−	0.291053i
$99$	−6.19665	+	10.7329i	−0.622787	+	1.07870i
$100$	−6.27234	+	0.267482i	−0.627234	+	0.0267482i
$101$	−1.77068	+	3.06690i	−0.176189	+	0.305168i	−0.940572	−	0.339594i	$-0.889710\pi$
$101$	−1.77068	+	3.06690i	−0.176189	+	0.305168i	0.764383	+	0.644762i	$0.223044\pi$
$102$			14.0681i			1.39295i
$103$		−	15.6919i		−	1.54617i	−0.634301	−	0.773086i	$-0.718712\pi$
$103$		−	15.6919i		−	1.54617i	0.634301	−	0.773086i	$-0.281288\pi$
$104$	−0.273207	+	0.473209i	−0.0267902	+	0.0464020i
$105$	−0.0831127	−	3.89969i	−0.00811097	−	0.380571i
$106$	−7.08007			−0.687677
$107$			1.05731i			0.102214i	0.998693	+	0.0511071i	$0.0162750\pi$
$107$			1.05731i			0.102214i	−0.998693	+	0.0511071i	$0.983725\pi$
$108$	−11.6554	−	6.72926i	−1.12154	−	0.647523i
$109$	−3.37220	−	5.84081i	−0.322998	−	0.559449i	0.658107	−	0.752924i	$-0.271357\pi$
$109$	−3.37220	−	5.84081i	−0.322998	−	0.559449i	−0.981105	+	0.193476i	$0.938024\pi$
$110$	−3.68831	+	0.0786075i	−0.351666	+	0.00749493i
$111$	−1.47118	−	2.54817i	−0.139639	−	0.241861i
$112$	0.0430622	−	0.0248620i	0.00406899	−	0.00234923i
$113$			7.90091i			0.743255i	0.928382	+	0.371627i	$0.121200\pi$
$113$			7.90091i			0.743255i	−0.928382	+	0.371627i	$0.878800\pi$
$114$	5.27321	+	10.3096i	0.493881	+	0.965585i
$115$	3.91223	+	6.45453i	0.364817	+	0.601888i
$116$	−5.48493	−	9.50018i	−0.509263	−	0.882069i
$117$	1.09186	−	0.630386i	0.100943	−	0.0582792i
$118$	2.77525	+	1.60229i	0.255483	+	0.147503i
$119$	1.50000	+	2.59808i	0.137505	+	0.238165i
$120$	−0.412084	−	19.3352i	−0.0376179	−	1.76505i
$121$	−7.34338			−0.667580
$122$		−	3.02941i		−	0.274270i
$123$	26.7992	+	15.4725i	2.41641	+	1.39511i
$124$	−3.55125	+	6.15095i	−0.318912	+	0.552371i
$125$	0.714253	+	11.1575i	0.0638847	+	0.997957i
$126$	3.16784			0.282213
$127$	7.34074	+	4.23818i	0.651385	+	0.376078i	0.788987	−	0.614410i	$-0.210606\pi$
$127$	7.34074	+	4.23818i	0.651385	+	0.376078i	−0.137601	+	0.990488i	$0.543939\pi$
$128$	6.32219	−	3.65012i	0.558808	−	0.322628i
$129$	−7.59381	+	13.1529i	−0.668598	+	1.15805i
$130$	0.328941	+	0.180681i	0.0288501	+	0.0158467i
$131$	−0.937193	−	1.62327i	−0.0818830	−	0.141825i	0.822176	−	0.569234i	$-0.192760\pi$
$131$	−0.937193	−	1.62327i	−0.0818830	−	0.141825i	−0.904059	+	0.427408i	$0.859427\pi$
$132$			7.39304i			0.643482i
$133$	2.07310	+	1.34171i	0.179761	+	0.116341i
$134$	−3.48878			−0.301385
$135$	−11.5389	+	21.0073i	−0.993109	+	1.80802i
$136$	7.43719	+	12.8816i	0.637734	+	1.10459i
$137$	−10.7918	−	6.23068i	−0.922010	−	0.532323i	−0.0377341	−	0.999288i	$-0.512014\pi$
$137$	−10.7918	−	6.23068i	−0.922010	−	0.532323i	−0.884276	+	0.466965i	$0.845347\pi$
$138$	−7.76578	+	4.48357i	−0.661067	+	0.381667i
$139$	−0.156620	+	0.271275i	−0.0132844	+	0.0230092i	−0.872591	−	0.488451i	$-0.837562\pi$
$139$	−0.156620	+	0.271275i	−0.0132844	+	0.0230092i	0.859307	+	0.511460i	$0.170895\pi$
$140$	−0.824458	−	1.36022i	−0.0696794	−	0.114960i
$141$	27.2178			2.29215
$142$	−3.88190	−	2.24122i	−0.325762	−	0.188079i
$143$	−0.322151	−	0.185994i	−0.0269397	−	0.0155536i
$144$	−0.568850			−0.0474041
$145$	−16.7065	+	10.1262i	−1.38740	+	0.840935i
$146$	−3.71172	+	6.42889i	−0.307184	+	0.532059i
$147$	−17.8104	+	10.2829i	−1.46898	+	0.848116i
$148$	−1.03909	−	0.599919i	−0.0854127	−	0.0493130i
$149$	2.18291	+	3.78091i	0.178831	+	0.309744i	0.941480	−	0.337068i	$-0.109435\pi$
$149$	2.18291	+	3.78091i	0.178831	+	0.309744i	−0.762650	+	0.646812i	$0.776102\pi$
$150$	−13.2710	+	0.565939i	−1.08358	+	0.0462087i
$151$	0.197977			0.0161111			0.00805555	−	0.999968i	$-0.497436\pi$
$151$	0.197977			0.0161111			0.00805555	+	0.999968i	$0.497436\pi$
$152$	10.2787	+	6.65239i	0.833713	+	0.539580i
$153$		−	34.3205i		−	2.77465i
$154$	−0.467332	−	0.809443i	−0.0376587	−	0.0652268i
$155$	11.0863	+	6.08945i	0.890470	+	0.489117i
$156$	0.376047	−	0.651333i	0.0301079	−	0.0521484i
$157$	13.6572	−	7.88498i	1.08996	−	0.629290i	0.156395	−	0.987695i	$-0.450013\pi$
$157$	13.6572	−	7.88498i	1.08996	−	0.629290i	0.933566	+	0.358405i	$0.116679\pi$
$158$	4.95124	+	2.85860i	0.393900	+	0.227418i
$159$	25.2677			2.00386
$160$	−6.59899	−	10.8872i	−0.521696	−	0.860712i
$161$	−0.956115	+	1.65604i	−0.0753524	+	0.130514i
$162$	−10.1328	−	5.85015i	−0.796105	−	0.459631i
$163$		−	9.18768i		−	0.719635i	−0.933023	−	0.359817i	$-0.882839\pi$
$163$		−	9.18768i		−	0.719635i	0.933023	−	0.359817i	$-0.117161\pi$
$164$	12.6188			0.985361
$165$	13.1630	−	0.280538i	1.02474	−	0.0218399i
$166$	1.94875	+	3.37533i	0.151252	+	0.261977i
$167$	2.65888	+	1.53510i	0.205750	+	0.118790i	0.599335	−	0.800498i	$-0.295432\pi$
$167$	2.65888	+	1.53510i	0.205750	+	0.118790i	−0.393585	+	0.919288i	$0.628765\pi$
$168$	4.24334	−	2.44989i	0.327380	−	0.189013i
$169$	−6.48108	−	11.2256i	−0.498545	−	0.863504i
$170$	8.73669	−	5.29549i	0.670073	−	0.406146i
$171$	−12.8645	−	25.1513i	−0.983772	−	1.92337i
$172$			6.19320i			0.472227i
$173$	−9.01838	+	5.20676i	−0.685655	+	0.395863i	−0.801982	−	0.597348i	$-0.796221\pi$
$173$	−9.01838	+	5.20676i	−0.685655	+	0.395863i	0.116328	+	0.993211i	$0.462888\pi$
$174$	−11.6050	−	20.1005i	−0.879775	−	1.52382i
$175$	−2.39053	+	1.51953i	−0.180707	+	0.114866i
$176$	0.0839190	+	0.145352i	0.00632563	+	0.0109563i
$177$	−9.90446	−	5.71834i	−0.744465	−	0.429817i
$178$		−	2.91061i		−	0.218159i
$179$	13.4432			1.00479			0.502397	−	0.864637i	$-0.332451\pi$
$179$	13.4432			1.00479			0.502397	+	0.864637i	$0.332451\pi$
$180$	0.387726	+	18.1923i	0.0288994	+	1.35598i
$181$	−3.98108	+	6.89543i	−0.295911	+	0.512533i	−0.975196	−	0.221341i	$-0.928957\pi$
$181$	−3.98108	+	6.89543i	−0.295911	+	0.512533i	0.679285	+	0.733874i	$0.262290\pi$
$182$			0.0950835i			0.00704806i
$183$			10.8115i			0.799210i
$184$	−4.74054	+	8.21086i	−0.349477	+	0.605312i
$185$	−1.02870	+	1.87282i	−0.0756316	+	0.137693i
$186$	−7.51375	+	13.0142i	−0.550935	+	0.954247i
$187$	−8.76954	+	5.06310i	−0.641292	+	0.370250i
$188$	9.61189	−	5.54942i	0.701019	−	0.404733i
$189$	−6.07236			−0.441699
$190$	4.41763	−	7.15554i	0.320489	−	0.519117i
$191$	−14.0999			−1.02023			−0.510115	−	0.860106i	$-0.670397\pi$
$191$	−14.0999			−1.02023			−0.510115	+	0.860106i	$0.670397\pi$
$192$	12.6309	−	7.29245i	0.911557	−	0.526287i
$193$	−3.44405	+	1.98842i	−0.247908	+	0.143130i	−0.618806	−	0.785544i	$-0.712383\pi$
$193$	−3.44405	+	1.98842i	−0.247908	+	0.143130i	0.370898	+	0.928674i	$0.379050\pi$
$194$	6.55378	−	11.3515i	0.470534	−	0.814989i
$195$	−1.17394	−	0.644822i	−0.0840677	−	0.0461766i
$196$	−4.19314	+	7.26273i	−0.299510	+	0.518767i
$197$			18.3494i			1.30734i	0.756781	+	0.653669i	$0.226771\pi$
$197$			18.3494i			1.30734i	−0.756781	+	0.653669i	$0.773229\pi$
$198$			10.6927i			0.759898i
$199$	−0.803346	+	1.39144i	−0.0569477	+	0.0986363i	−0.893094	−	0.449870i	$-0.851470\pi$
$199$	−0.803346	+	1.39144i	−0.0569477	+	0.0986363i	0.836146	+	0.548507i	$0.184803\pi$
$200$	−11.8526	+	7.53403i	−0.838103	+	0.532736i
$201$	12.4509			0.878222
$202$			3.05542i			0.214978i
$203$	−4.28640	−	2.47475i	−0.300846	−	0.173694i
$204$	−10.2367	−	17.7305i	−0.716711	−	1.24138i
$205$	−0.478836	−	22.4672i	−0.0334433	−	1.56918i
$206$	−6.76936	−	11.7249i	−0.471643	−	0.816910i
$207$	18.9454	−	10.9381i	1.31679	−	0.760251i
$208$		−	0.0170742i		−	0.00118388i
$209$	−4.52882	+	6.99754i	−0.313265	+	0.484030i
$210$	−1.74439	−	2.87796i	−0.120374	−	0.198598i
$211$	3.04993	+	5.28263i	0.209966	+	0.363671i	0.951703	−	0.307019i	$-0.0993314\pi$
$211$	3.04993	+	5.28263i	0.209966	+	0.363671i	−0.741738	+	0.670690i	$0.765998\pi$
$212$	8.92322	−	5.15182i	0.612849	−	0.353829i
$213$	13.8539	+	7.99857i	0.949255	+	0.548053i
$214$	0.456115	+	0.790014i	0.0311794	+	0.0540042i
$215$	11.0267	−	0.235009i	0.752018	−	0.0160275i
$216$	−30.1076			−2.04856
$217$			3.20459i			0.217542i
$218$	−5.03934	−	2.90947i	−0.341307	−	0.197054i
$219$	13.2466	−	22.9438i	0.895121	−	1.55040i
$220$	4.59128	−	2.78287i	0.309544	−	0.187621i
$221$	1.03014			0.0692946
$222$	−2.19851	−	1.26931i	−0.147554	−	0.0851905i
$223$	−14.9175	+	8.61263i	−0.998950	+	0.576744i	−0.907938	−	0.419106i	$-0.862344\pi$
$223$	−14.9175	+	8.61263i	−0.998950	+	0.576744i	−0.0910127	+	0.995850i	$0.529010\pi$
$224$	1.61274	−	2.79334i	0.107755	−	0.186638i
$225$	32.3760	−	1.38066i	2.15840	−	0.0920441i
$226$	3.40838	+	5.90348i	0.226722	+	0.392694i
$227$			1.18505i			0.0786542i	0.999226	+	0.0393271i	$0.0125214\pi$
$227$			1.18505i			0.0786542i	−0.999226	+	0.0393271i	$0.987479\pi$
$228$	−14.1478	−	9.15647i	−0.936961	−	0.606402i
$229$	−6.24791			−0.412873			−0.206437	−	0.978460i	$-0.566187\pi$
$229$	−6.24791			−0.412873			−0.206437	+	0.978460i	$0.566187\pi$
$230$	5.70760	+	3.13507i	0.376348	+	0.206720i
$231$	1.66784	+	2.88878i	0.109736	+	0.190068i
$232$	−21.2525	−	12.2701i	−1.39530	−	0.805574i
$233$	2.38752	−	1.37844i	0.156412	−	0.0903043i	−0.419751	−	0.907639i	$-0.637883\pi$
$233$	2.38752	−	1.37844i	0.156412	−	0.0903043i	0.576163	+	0.817335i	$0.304549\pi$
$234$	0.543885	−	0.942037i	0.0355549	−	0.0615829i
$235$	−10.2453	−	16.9030i	−0.668327	−	1.10263i
$236$	−4.66365			−0.303578
$237$	−17.6702	−	10.2019i	−1.14781	−	0.662686i
$238$	2.24157	+	1.29417i	0.145299	+	0.0838887i
$239$	−17.3055			−1.11940			−0.559701	−	0.828695i	$-0.689084\pi$
$239$	−17.3055			−1.11940			−0.559701	+	0.828695i	$0.689084\pi$
$240$	0.313241	+	0.516796i	0.0202196	+	0.0333590i
$241$	2.39331	−	4.14533i	0.154167	−	0.267024i	−0.778589	−	0.627535i	$-0.784064\pi$
$241$	2.39331	−	4.14533i	0.154167	−	0.267024i	0.932755	+	0.360510i	$0.117397\pi$
$242$	−5.48690	+	3.16786i	−0.352711	+	0.203638i
$243$	8.31425	+	4.80023i	0.533359	+	0.307935i
$244$	2.20436	+	3.81806i	0.141120	+	0.244426i
$245$	13.0901	+	7.19012i	0.836297	+	0.459360i
$246$	26.6988			1.70226
$247$	0.754923	−	0.386131i	0.0480346	−	0.0245689i
$248$			15.8888i			1.00894i
$249$	−6.95479	−	12.0461i	−0.440742	−	0.763388i
$250$	5.34692	+	8.02866i	0.338169	+	0.507777i
$251$	13.1240	−	22.7314i	0.828377	−	1.43479i	−0.0709346	−	0.997481i	$-0.522598\pi$
$251$	13.1240	−	22.7314i	0.828377	−	1.43479i	0.899311	−	0.437309i	$-0.144068\pi$
$252$	−3.99252	+	2.30508i	−0.251505	+	0.145207i
$253$	−5.58979	−	3.22727i	−0.351427	−	0.202897i
$254$	7.31324			0.458874
$255$	−31.1799	+	18.8988i	−1.95256	+	1.18349i
$256$	7.88594	−	13.6589i	0.492871	−	0.853678i
$257$	19.2695	+	11.1252i	1.20200	+	0.693974i	0.960999	−	0.276552i	$-0.0891917\pi$
$257$	19.2695	+	11.1252i	1.20200	+	0.693974i	0.240999	+	0.970525i	$0.422525\pi$
$258$			13.1036i			0.815794i
$259$	−0.541356			−0.0336382
$260$	−0.546047	+	0.0116377i	−0.0338644	+	0.000721740i
$261$	28.3116	+	49.0371i	1.75244	+	3.03532i
$262$	−1.40052	−	0.808593i	−0.0865246	−	0.0499550i
$263$	−7.63264	+	4.40671i	−0.470649	+	0.271729i	−0.716511	−	0.697576i	$-0.754262\pi$
$263$	−7.63264	+	4.40671i	−0.470649	+	0.271729i	0.245863	+	0.969305i	$0.420929\pi$
$264$	8.26936	+	14.3229i	0.508944	+	0.881516i
$265$	−9.51122	−	15.6919i	−0.584269	−	0.963948i
$266$	2.12780	+	0.108199i	0.130464	+	0.00663409i
$267$			10.3875i			0.635706i
$268$	4.39702	−	2.53862i	0.268591	−	0.155071i
$269$	−2.38209	−	4.12590i	−0.145239	−	0.251561i	0.784223	−	0.620479i	$-0.213062\pi$
$269$	−2.38209	−	4.12590i	−0.145239	−	0.251561i	−0.929462	+	0.368918i	$0.879728\pi$
$270$	0.440623	+	20.6742i	0.0268154	+	1.25819i
$271$	−1.75946	−	3.04748i	−0.106880	−	0.185121i	0.807625	−	0.589696i	$-0.200753\pi$
$271$	−1.75946	−	3.04748i	−0.106880	−	0.185121i	−0.914505	+	0.404576i	$0.867419\pi$
$272$	−0.402520	−	0.232395i	−0.0244063	−	0.0140910i
$273$		−	0.339339i		−	0.0205377i
$274$	−10.7514			−0.649517
$275$	−5.12902	−	8.06900i	−0.309291	−	0.486579i
$276$	6.52496	−	11.3016i	0.392757	−	0.680275i
$277$			32.7724i			1.96910i	0.175098	+	0.984551i	$0.443976\pi$
$277$			32.7724i			1.96910i	−0.175098	+	0.984551i	$0.556024\pi$
$278$			0.270258i			0.0162090i
$279$	18.3305	−	31.7494i	1.09742	−	1.90078i
$280$	−3.11872	−	1.71305i	−0.186379	−	0.102374i
$281$	−4.95997	+	8.59091i	−0.295887	+	0.512491i	−0.975191	−	0.221366i	$-0.928948\pi$
$281$	−4.95997	+	8.59091i	−0.295887	+	0.512491i	0.679304	+	0.733857i	$0.262282\pi$
$282$	20.3369	−	11.7415i	1.21104	−	0.699195i
$283$	2.14066	−	1.23591i	0.127249	−	0.0734673i	−0.435024	−	0.900419i	$-0.643260\pi$
$283$	2.14066	−	1.23591i	0.127249	−	0.0734673i	0.562273	+	0.826951i	$0.309927\pi$
$284$	6.52330			0.387087
$285$	−15.7659	+	25.5370i	−0.933889	+	1.51268i
$286$	−0.320945			−0.0189779
$287$	4.93070	−	2.84674i	0.291050	−	0.168038i
$288$	−31.9563	+	18.4500i	−1.88304	+	1.08717i
$289$	5.52111	−	9.56285i	0.324771	−	0.562520i
$290$	−8.11463	+	14.7732i	−0.476507	+	0.867515i
$291$	−23.3895	+	40.5117i	−1.37111	+	2.37484i
$292$		−	10.8034i		−	0.632219i
$293$		−	17.0284i		−	0.994812i	−0.867518	−	0.497406i	$-0.834286\pi$
$293$		−	17.0284i		−	0.994812i	0.867518	−	0.497406i	$-0.165714\pi$
$294$	−8.87186	+	15.3665i	−0.517417	+	0.896193i
$295$	0.176968	+	8.30344i	0.0103035	+	0.483445i
$296$	−2.68411			−0.156011
$297$		−	20.4966i		−	1.18934i
$298$	3.26209	+	1.88337i	0.188968	+	0.109101i
$299$	0.328310	+	0.568650i	0.0189867	+	0.0328859i
$300$	16.3141	−	10.3700i	0.941894	−	0.598710i
$301$	1.39716	+	2.41995i	0.0805310	+	0.139484i
$302$	0.147926	−	0.0854052i	0.00851220	−	0.00491452i
$303$		−	10.9043i		−	0.626437i
$304$	−0.382090	−	0.0194293i	−0.0219144	−	0.00111435i
$305$	6.71425	−	4.06965i	0.384457	−	0.233028i
$306$	−14.8055	−	25.6439i	−0.846376	−	1.46597i
$307$	−18.1686	+	10.4896i	−1.03694	+	0.598676i	−0.918964	−	0.394341i	$-0.870973\pi$
$307$	−18.1686	+	10.4896i	−1.03694	+	0.598676i	−0.117972	+	0.993017i	$0.537639\pi$
$308$	1.17799	+	0.680110i	0.0671220	+	0.0387529i
$309$	24.1588	+	41.8443i	1.37435	+	2.38044i
$310$	10.9105	−	0.232531i	0.619674	−	0.0132069i
$311$	−3.14805			−0.178509			−0.0892547	−	0.996009i	$-0.528449\pi$
$311$	−3.14805			−0.178509			−0.0892547	+	0.996009i	$0.528449\pi$
$312$		−	1.68248i		−	0.0952520i
$313$	−10.6459	−	6.14641i	−0.601742	−	0.347416i	0.167985	−	0.985790i	$-0.446274\pi$
$313$	−10.6459	−	6.14641i	−0.601742	−	0.347416i	−0.769726	+	0.638374i	$0.779607\pi$
$314$	6.80301	−	11.7832i	0.383916	−	0.664962i
$315$	4.25561	+	7.02105i	0.239776	+	0.395592i
$316$	−8.32027			−0.468052
$317$	−9.92630	−	5.73095i	−0.557517	−	0.321882i	0.194631	−	0.980876i	$-0.437649\pi$
$317$	−9.92630	−	5.73095i	−0.557517	−	0.321882i	−0.752148	+	0.658994i	$0.770982\pi$
$318$	18.8798	−	10.9002i	1.05873	−	0.611255i
$319$	8.35327	−	14.4683i	0.467694	−	0.810069i
$320$	−9.28331	−	5.09913i	−0.518953	−	0.285050i
$321$	−1.62780	−	2.81944i	−0.0908552	−	0.157366i
$322$			1.64984i			0.0919417i
$323$	1.17223	−	23.0527i	0.0652246	−	1.28269i
$324$	17.0275			0.945972
$325$	0.0414409	+	0.971773i	0.00229873	+	0.0539043i
$326$	−3.96348	−	6.86495i	−0.219517	−	0.380214i
$327$	17.9847	+	10.3834i	0.994554	+	0.574206i
$328$	24.4470	−	14.1145i	1.34986	−	0.779343i
$329$	2.50385	−	4.33680i	0.138042	−	0.239095i
$330$	9.71425	−	5.88801i	0.534752	−	0.324124i
$331$	5.85724			0.321943			0.160972	−	0.986959i	$-0.448537\pi$
$331$	5.85724			0.321943			0.160972	+	0.986959i	$0.448537\pi$
$332$	−4.91213	−	2.83602i	−0.269588	−	0.155647i
$333$	5.36347	+	3.09660i	0.293916	+	0.169693i
$334$	2.64892			0.144942
$335$	−4.68676	−	7.73238i	−0.256065	−	0.422465i
$336$	−0.0765533	+	0.132594i	−0.00417633	+	0.00723361i
$337$	7.45644	−	4.30498i	0.406178	−	0.234507i	−0.282968	−	0.959129i	$-0.591319\pi$
$337$	7.45644	−	4.30498i	0.406178	−	0.234507i	0.689146	+	0.724622i	$0.257986\pi$
$338$	−9.68520	−	5.59175i	−0.526805	−	0.304151i
$339$	−12.1640	−	21.0686i	−0.660657	−	1.14429i
$340$	−7.15784	+	13.0313i	−0.388188	+	0.706723i
$341$	−10.8168			−0.585760
$342$	−20.4623	−	13.2432i	−1.10647	−	0.716110i
$343$			7.74945i			0.418431i
$344$	6.92730	+	11.9984i	0.373495	+	0.646912i
$345$	−20.3696	−	11.1886i	−1.09666	−	0.602373i
$346$	−4.49230	+	7.78089i	−0.241507	+	0.418303i
$347$	−10.4704	+	6.04507i	−0.562079	+	0.324517i	−0.753980	−	0.656898i	$-0.771868\pi$
$347$	−10.4704	+	6.04507i	−0.562079	+	0.324517i	0.191900	+	0.981414i	$0.438535\pi$
$348$	29.2523	+	16.8888i	1.56809	+	0.905337i
$349$	−18.9819			−1.01608			−0.508040	−	0.861333i	$-0.669630\pi$
$349$	−18.9819			−1.01608			−0.508040	+	0.861333i	$0.669630\pi$
$350$	−1.13067	+	2.16663i	−0.0604369	+	0.115811i
$351$	−1.04256	+	1.80577i	−0.0556479	+	0.0963850i
$352$	9.42863	+	5.44362i	0.502548	+	0.290146i
$353$			7.71759i			0.410766i	0.978682	+	0.205383i	$0.0658440\pi$
$353$			7.71759i			0.410766i	−0.978682	+	0.205383i	$0.934156\pi$
$354$	−9.86736			−0.524444
$355$	−0.247535	−	11.6145i	−0.0131378	−	0.616432i
$356$	2.11791	+	3.66833i	0.112249	+	0.194421i
$357$	−7.99983	−	4.61870i	−0.423396	−	0.244448i
$358$	10.0447	−	5.79929i	0.530877	−	0.306502i
$359$	−3.51507	−	6.08828i	−0.185518	−	0.321327i	0.758233	−	0.651984i	$-0.226063\pi$
$359$	−3.51507	−	6.08828i	−0.185518	−	0.321327i	−0.943751	+	0.330657i	$0.892730\pi$
$360$	21.0999	+	34.8113i	1.11206	+	1.83472i
$361$	−7.78190	−	17.3333i	−0.409573	−	0.912277i
$362$			6.86960i			0.361058i
$363$	19.5819	−	11.3056i	1.02778	−	0.593392i
$364$	−0.0691877	−	0.119837i	−0.00362642	−	0.00628114i
$365$	−19.2350	+	0.409948i	−1.00680	+	0.0214576i
$366$	4.66399	+	8.07826i	0.243790	+	0.422257i
$367$	29.1945	+	16.8554i	1.52394	+	0.879847i	0.999598	+	0.0283394i	$0.00902191\pi$
$367$	29.1945	+	16.8554i	1.52394	+	0.879847i	0.524342	+	0.851508i	$0.324311\pi$
$368$		−	0.296261i		−	0.0154437i
$369$	−65.1344			−3.39076
$370$	0.0392819	+	1.84313i	0.00204217	+	0.0958196i
$371$	2.32446	−	4.02608i	0.120680	−	0.209024i
$372$		−	21.8696i		−	1.13388i
$373$		−	10.0097i		−	0.518281i	−0.965840	−	0.259141i	$-0.916561\pi$
$373$		−	10.0097i		−	0.518281i	0.965840	−	0.259141i	$-0.0834393\pi$
$374$	−4.36834	+	7.56619i	−0.225882	+	0.391239i
$375$	−19.0824	−	28.6531i	−0.985409	−	1.47964i
$376$	12.4144	−	21.5024i	0.640225	−	1.10890i
$377$	−1.47186	+	0.849780i	−0.0758047	+	0.0437659i
$378$	−4.53721	+	2.61956i	−0.233369	+	0.134736i
$379$	35.8064			1.83925			0.919626	−	0.392796i	$-0.128492\pi$
$379$	35.8064			1.83925			0.919626	+	0.392796i	$0.128492\pi$
$380$	−0.360934	+	12.2328i	−0.0185155	+	0.627531i
$381$	−26.0999			−1.33714
$382$	−10.5353	+	6.08255i	−0.539032	+	0.311210i
$383$	14.0725	−	8.12477i	0.719072	−	0.415156i	−0.0953393	−	0.995445i	$-0.530394\pi$
$383$	14.0725	−	8.12477i	0.719072	−	0.415156i	0.814411	+	0.580289i	$0.197060\pi$
$384$	−11.2392	+	19.4669i	−0.573549	+	0.993416i
$385$	1.16621	−	2.12316i	0.0594355	−	0.108206i
$386$	−1.71558	+	2.97146i	−0.0873205	+	0.151244i
$387$		−	31.9675i		−	1.62500i
$388$			19.0755i			0.968411i
$389$	−9.69280	+	16.7884i	−0.491445	+	0.851207i	−0.999951	−	0.00985094i	$-0.996864\pi$
$389$	−9.69280	+	16.7884i	−0.491445	+	0.851207i	0.508507	+	0.861058i	$0.330198\pi$
$390$	−1.15533	+	0.0246231i	−0.0585023	+	0.00124684i
$391$	17.8744			0.903947
$392$			18.7607i			0.947556i
$393$	4.99826	+	2.88575i	0.252129	+	0.145567i
$394$	7.91574	+	13.7105i	0.398789	+	0.690723i
$395$	0.315723	+	14.8139i	0.0158858	+	0.745368i
$396$	−7.78057	−	13.4763i	−0.390989	−	0.677212i
$397$	4.63682	−	2.67707i	0.232716	−	0.134358i	−0.379109	−	0.925352i	$-0.623769\pi$
$397$	4.63682	−	2.67707i	0.232716	−	0.134358i	0.611824	+	0.790994i	$0.290436\pi$
$398$			1.38622i			0.0694851i
$399$	−7.59381	−	0.386145i	−0.380166	−	0.0193314i
$400$	0.203035	−	0.389063i	0.0101518	−	0.0194531i
$401$	−4.16916	−	7.22120i	−0.208198	−	0.360609i	0.742949	−	0.669348i	$-0.233426\pi$
$401$	−4.16916	−	7.22120i	−0.208198	−	0.360609i	−0.951147	+	0.308739i	$0.900093\pi$
$402$	9.30322	−	5.37122i	0.464003	−	0.267892i
$403$	0.952965	+	0.550195i	0.0474706	+	0.0274072i
$404$	−2.22328	−	3.85083i	−0.110612	−	0.191586i
$405$	−0.646130	−	30.3168i	−0.0321065	−	1.50645i
$406$	−4.27034			−0.211933
$407$		−	1.82729i		−	0.0905755i
$408$	−39.6642	−	22.9001i	−1.96367	−	1.13373i
$409$	−17.6613	+	30.5903i	−0.873297	+	1.51259i	−0.0147313	+	0.999891i	$0.504689\pi$
$409$	−17.6613	+	30.5903i	−0.873297	+	1.51259i	−0.858566	+	0.512703i	$0.828644\pi$
$410$	−10.0499	−	16.5807i	−0.496331	−	0.818864i
$411$	38.3702			1.89266
$412$	17.0632	+	9.85147i	0.840646	+	0.485347i
$413$	−1.82229	+	1.05210i	−0.0896689	+	0.0517704i
$414$	9.43719	−	16.3457i	0.463813	−	0.803347i
$415$	−4.86302	+	8.85347i	−0.238716	+	0.434600i
$416$	−0.553780	−	0.959176i	−0.0271513	−	0.0470274i
$417$		−	0.964511i		−	0.0472323i
$418$	−0.365214	+	7.18219i	−0.0178632	+	0.351292i
$419$	−21.2453			−1.03790			−0.518949	−	0.854805i	$-0.673677\pi$
$419$	−21.2453			−1.03790			−0.518949	+	0.854805i	$0.673677\pi$
$420$	4.29266	+	2.35787i	0.209460	+	0.115052i
$421$	7.43719	+	12.8816i	0.362467	+	0.627811i	0.988366	−	0.152093i	$-0.0486013\pi$
$421$	7.43719	+	12.8816i	0.362467	+	0.627811i	−0.625900	+	0.779904i	$0.715268\pi$
$422$	4.55775	+	2.63142i	0.221868	+	0.128096i
$423$	−49.6137	+	28.6445i	−2.41230	+	1.39274i
$424$	11.5250	−	19.9618i	0.559702	−	0.969432i
$425$	23.4734	+	12.2497i	1.13863	+	0.594200i
$426$	13.8020			0.668710
$427$	1.72268	+	0.994587i	0.0833661	+	0.0481314i
$428$	−1.14971	−	0.663785i	−0.0555733	−	0.0320853i
$429$	1.14540			0.0553006
$430$	8.13770	−	4.93243i	0.392435	−	0.237863i
$431$	8.47590	−	14.6807i	0.408270	−	0.707144i	−0.586426	−	0.810003i	$-0.699466\pi$
$431$	8.47590	−	14.6807i	0.408270	−	0.707144i	0.994696	+	0.102858i	$0.0327989\pi$
$432$	0.814748	−	0.470395i	0.0391996	−	0.0226319i
$433$	20.0450	+	11.5730i	0.963299	+	0.556161i	0.897187	−	0.441651i	$-0.145607\pi$
$433$	20.0450	+	11.5730i	0.963299	+	0.556161i	0.0661122	+	0.997812i	$0.478940\pi$
$434$	1.38243	+	2.39444i	0.0663587	+	0.114937i
$435$	28.9599	−	52.7235i	1.38852	−	2.52790i
$436$	8.46832			0.405559
$437$	13.0990	−	6.69993i	0.626610	−	0.320501i
$438$		−	22.8578i		−	1.09219i
$439$	16.7729	+	29.0515i	0.800525	+	1.38655i	0.919271	+	0.393626i	$0.128779\pi$
$439$	16.7729	+	29.0515i	0.800525	+	1.38655i	−0.118745	+	0.992925i	$0.537887\pi$
$440$	5.78221	−	10.5269i	0.275656	−	0.501851i
$441$	21.6437	−	37.4881i	1.03065	−	1.78515i
$442$	0.769710	−	0.444392i	0.0366114	−	0.0211376i
$443$	−27.1567	−	15.6789i	−1.29025	−	0.744929i	−0.311555	−	0.950228i	$-0.600850\pi$
$443$	−27.1567	−	15.6789i	−1.29025	−	0.744929i	−0.978699	+	0.205299i	$0.934183\pi$
$444$	3.69446			0.175331
$445$	6.45094	−	3.91005i	0.305804	−	0.185354i
$446$	−7.43081	+	12.8705i	−0.351859	+	0.609438i
$447$	−11.6419	−	6.72147i	−0.550644	−	0.317915i
$448$		−	2.68343i		−	0.126780i
$449$	16.0301			0.756509			0.378255	−	0.925702i	$-0.376524\pi$
$449$	16.0301			0.756509			0.378255	+	0.925702i	$0.376524\pi$
$450$	23.5954	−	14.9983i	1.11230	−	0.707027i
$451$	9.60888	+	16.6431i	0.452465	+	0.783692i
$452$	−8.59136	−	4.96022i	−0.404104	−	0.233309i
$453$	−0.527926	+	0.304798i	−0.0248041	+	0.0143207i
$454$	0.511217	+	0.885455i	0.0239926	+	0.0415564i
$455$	−0.210739	+	0.127733i	−0.00987959	+	0.00598823i
$456$	−37.6511	−	1.91456i	−1.76317	−	0.0896573i
$457$		−	15.3980i		−	0.720286i	−0.932897	−	0.360143i	$-0.882728\pi$
$457$		−	15.3980i		−	0.720286i	0.932897	−	0.360143i	$-0.117272\pi$
$458$	−4.66837	+	2.69529i	−0.218139	+	0.125943i
$459$	28.3804	+	49.1563i	1.32469	+	2.29442i
$460$	−9.47470	+	0.201931i	−0.441760	+	0.00941508i
$461$	2.90705	+	5.03517i	0.135395	+	0.234511i	0.925748	−	0.378140i	$-0.123436\pi$
$461$	2.90705	+	5.03517i	0.135395	+	0.234511i	−0.790353	+	0.612651i	$0.790103\pi$
$462$	2.49238	+	1.43898i	0.115956	+	0.0669474i
$463$			32.6788i			1.51871i	0.650675	+	0.759356i	$0.274486\pi$
$463$			32.6788i			1.51871i	−0.650675	+	0.759356i	$0.725514\pi$
$464$	0.766826			0.0355990
$465$	−38.9379	+	0.829869i	−1.80570	+	0.0384842i
$466$	1.18929	−	2.05991i	0.0550927	−	0.0954234i
$467$			6.59041i			0.304968i	0.988306	+	0.152484i	$0.0487272\pi$
$467$			6.59041i			0.304968i	−0.988306	+	0.152484i	$0.951273\pi$
$468$			1.58304i			0.0731759i
$469$	1.14540	−	1.98390i	0.0528898	−	0.0916078i
$470$	−14.9469	−	8.21004i	−0.689451	−	0.378701i
$471$	−24.2789	+	42.0523i	−1.11871	+	1.93767i
$472$	−9.03514	+	5.21644i	−0.415876	+	0.240106i
$473$	−8.16830	+	4.71597i	−0.375579	+	0.216841i
$474$	−17.6040			−0.808581
$475$	21.7938	+	0.178437i	0.999966	+	0.00818726i
$476$	−3.76683			−0.172652
$477$	−46.0590	+	26.5922i	−2.10890	+	1.21757i
$478$	−12.9305	+	7.46545i	−0.591429	+	0.341462i
$479$	−18.4032	+	31.8753i	−0.840864	+	1.45642i	0.0483016	+	0.998833i	$0.484619\pi$
$479$	−18.4032	+	31.8753i	−0.840864	+	1.45642i	−0.889165	+	0.457586i	$0.848714\pi$
$480$	34.3586	+	18.8724i	1.56825	+	0.861405i
$481$	−0.0929453	+	0.160986i	−0.00423794	+	0.00734033i
$482$		−	4.12980i		−	0.188107i
$483$		−	5.88801i		−	0.267914i
$484$	4.61021	−	7.98511i	0.209555	−	0.362960i
$485$	33.9631	−	0.723844i	1.54219	−	0.0328680i
$486$	8.28310			0.375729
$487$		−	2.45475i		−	0.111235i	−0.998452	−	0.0556176i	$-0.982287\pi$
$487$		−	2.45475i		−	0.111235i	0.998452	−	0.0556176i	$-0.0177128\pi$
$488$	8.54125	+	4.93129i	0.386644	+	0.223229i
$489$	14.1451	+	24.5000i	0.639662	+	1.10793i
$490$	12.8826	−	0.274561i	0.581975	−	0.0124034i
$491$	−8.89716	−	15.4103i	−0.401523	−	0.695459i	0.592387	−	0.805654i	$-0.298186\pi$
$491$	−8.89716	−	15.4103i	−0.401523	−	0.695459i	−0.993910	+	0.110195i	$0.964852\pi$
$492$	−33.6494	+	19.4275i	−1.51703	+	0.875858i
$493$			46.2651i			2.08367i
$494$	0.397498	−	0.614180i	0.0178843	−	0.0276333i
$495$	−23.6988	+	14.3644i	−1.06518	+	0.645630i
$496$	−0.248243	−	0.429970i	−0.0111464	−	0.0193062i
$497$	2.54894	−	1.47163i	0.114335	−	0.0660116i
$498$	−10.3931	−	6.00046i	−0.465726	−	0.268887i
$499$	−14.6399	−	25.3570i	−0.655371	−	1.13514i	−0.981801	−	0.189915i	$-0.939179\pi$
$499$	−14.6399	−	25.3570i	−0.655371	−	1.13514i	0.326429	−	0.945222i	$-0.394155\pi$
$500$	−12.5810	−	6.22806i	−0.562637	−	0.278527i
$501$	−9.45359			−0.422355
$502$		−	22.6462i		−	1.01075i
$503$	25.4939	+	14.7189i	1.13672	+	0.656283i	0.945615	−	0.325287i	$-0.105461\pi$
$503$	25.4939	+	14.7189i	1.13672	+	0.656283i	0.191100	+	0.981571i	$0.438794\pi$
$504$	−5.15662	+	8.93153i	−0.229694	+	0.397842i
$505$	−6.77188	+	4.10458i	−0.301345	+	0.182652i
$506$	−5.56885			−0.247566
$507$	34.5650	+	19.9561i	1.53509	+	0.886283i
$508$	−9.21710	+	5.32149i	−0.408943	+	0.236103i
$509$	3.34723	−	5.79757i	0.148363	−	0.256973i	−0.782259	−	0.622953i	$-0.785933\pi$
$509$	3.34723	−	5.79757i	0.148363	−	0.256973i	0.930623	+	0.365980i	$0.119266\pi$
$510$	−15.1446	+	27.5717i	−0.670613	+	1.22090i
$511$	−2.43719	−	4.22134i	−0.107815	−	0.186741i
$512$			0.992797i			0.0438758i
$513$	39.2237	+	25.3856i	1.73177	+	1.12080i
$514$	19.1973			0.846757
$515$	16.8927	−	30.7542i	0.744379	−	1.35519i
$516$	−9.53486	−	16.5149i	−0.419749	−	0.727026i
$517$	14.6384	+	8.45150i	0.643797	+	0.371696i
$518$	−0.404496	+	0.233536i	−0.0177725	+	0.0102610i
$519$	16.0323	−	27.7688i	0.703741	−	1.21892i
$520$	−1.04487	+	0.633318i	−0.0458206	+	0.0277728i
$521$	20.0801			0.879724			0.439862	−	0.898065i	$-0.355027\pi$
$521$	20.0801			0.879724			0.439862	+	0.898065i	$0.355027\pi$
$522$	42.3083	+	24.4267i	1.85178	+	1.06913i
$523$	−31.5615	−	18.2220i	−1.38009	−	0.796793i	−0.387918	−	0.921694i	$-0.626805\pi$
$523$	−31.5615	−	18.2220i	−1.38009	−	0.796793i	−0.992169	+	0.124901i	$0.960139\pi$
$524$	2.35350			0.102813
$525$	4.03520	−	7.73238i	0.176110	−	0.337469i
$526$	−3.80202	+	6.58530i	−0.165776	+	0.287133i
$527$	25.9414	−	14.9773i	1.13003	−	0.652421i
$528$	−0.447558	−	0.258398i	−0.0194775	−	0.0112453i
$529$	−5.80335	−	10.0517i	−0.252319	−	0.437030i
$530$	−13.8760	−	7.62182i	−0.602737	−	0.331071i
$531$	24.0724			1.04465
$532$	−2.76047	+	1.41193i	−0.119681	+	0.0612151i
$533$		−	1.95503i		−	0.0846816i
$534$	4.48108	+	7.76146i	0.193915	+	0.335871i
$535$	−1.13822	+	2.07220i	−0.0492094	+	0.0895890i
$536$	5.67906	−	9.83641i	0.245298	−	0.424868i
$537$	−35.8479	+	20.6968i	−1.54695	+	0.893132i
$538$	−3.55975	−	2.05522i	−0.153472	−	0.0886069i
$539$	−12.7719			−0.550124
$540$	−15.5990	−	25.7358i	−0.671274	−	1.10749i
$541$	7.31456	−	12.6692i	0.314478	−	0.544691i	−0.664849	−	0.746978i	$-0.731504\pi$
$541$	7.31456	−	12.6692i	0.314478	−	0.544691i	0.979326	+	0.202287i	$0.0648373\pi$
$542$	−2.62930	−	1.51803i	−0.112938	−	0.0652049i
$543$		−	24.5166i		−	1.05211i
$544$	−30.1498			−1.29266
$545$	−0.321341	−	15.0775i	−0.0137647	−	0.645849i
$546$	−0.146388	−	0.253551i	−0.00626481	−	0.0108510i
$547$	−17.6831	−	10.2093i	−0.756073	−	0.436519i	0.0718112	−	0.997418i	$-0.477122\pi$
$547$	−17.6831	−	10.2093i	−0.756073	−	0.436519i	−0.827884	+	0.560899i	$0.810455\pi$
$548$	13.5503	−	7.82329i	0.578842	−	0.334194i
$549$	−11.3782	−	19.7077i	−0.485611	−	0.841104i
$550$	−7.31324	−	3.81647i	−0.311838	−	0.162735i
$551$	17.3417	+	33.9047i	0.738782	+	1.44439i
$552$		−	29.1935i		−	1.24256i
$553$	−3.25109	+	1.87702i	−0.138250	+	0.0798188i
$554$	14.1377	+	24.4872i	0.600653	+	1.04036i
$555$	−0.140191	−	6.57784i	−0.00595078	−	0.279214i
$556$	−0.196654	−	0.340615i	−0.00833999	−	0.0144453i
$557$	−31.0728	−	17.9399i	−1.31660	−	0.760138i	−0.333418	−	0.942779i	$-0.608202\pi$
$557$	−31.0728	−	17.9399i	−1.31660	−	0.760138i	−0.983180	+	0.182641i	$0.941535\pi$
$558$		−	31.6304i		−	1.33902i
$559$	0.959512			0.0405830
$560$	0.111161	−	0.00236913i	0.00469740	−	0.000100114i
$561$	15.5900	−	27.0026i	0.658209	−	1.14005i
$562$			8.55873i			0.361028i
$563$		−	37.7708i		−	1.59185i	−0.605395	−	0.795925i	$-0.706985\pi$
$563$		−	37.7708i		−	1.59185i	0.605395	−	0.795925i	$-0.293015\pi$
$564$	−17.0874	+	29.5963i	−0.719511	+	1.24623i
$565$	−8.50547	+	15.4848i	−0.357828	+	0.651450i
$566$	1.06632	−	1.84692i	0.0448208	−	0.0776319i
$567$	6.65338	−	3.84133i	0.279416	−	0.161321i
$568$	12.6380	−	7.29653i	0.530277	−	0.306155i
$569$	−28.0844			−1.17736			−0.588681	−	0.808366i	$-0.700352\pi$
$569$	−28.0844			−1.17736			−0.588681	+	0.808366i	$0.700352\pi$
$570$	−0.763664	+	25.8823i	−0.0319864	+	1.08409i
$571$	20.6040			0.862253			0.431126	−	0.902292i	$-0.358116\pi$
$571$	20.6040			0.862253			0.431126	+	0.902292i	$0.358116\pi$
$572$	0.404496	−	0.233536i	0.0169128	−	0.00976463i
$573$	37.5988	−	21.7077i	1.57071	−	0.906852i
$574$	2.45611	−	4.25412i	0.102516	−	0.177563i
$575$	0.719059	+	16.8617i	0.0299869	+	0.703180i
$576$	−15.3494	+	26.5860i	−0.639559	+	1.10775i
$577$		−	43.8371i		−	1.82496i	−0.409119	−	0.912481i	$-0.634164\pi$
$577$		−	43.8371i		−	1.82496i	0.409119	−	0.912481i	$-0.365836\pi$
$578$		−	9.52702i		−	0.396272i
$579$	6.12263	−	10.6047i	0.254448	−	0.440717i
$580$	−0.522666	−	24.5238i	−0.0217025	−	1.01829i
$581$	−2.55918			−0.106173
$582$			40.3600i			1.67297i
$583$	13.5896	+	7.84597i	0.562825	+	0.324947i
$584$	−12.0839	−	20.9300i	−0.500036	−	0.866088i
$585$	2.81853	−	0.0600704i	0.116532	−	0.00248360i
$586$	−7.34591	−	12.7235i	−0.303457	−	0.525602i
$587$	−32.8925	+	18.9905i	−1.35762	+	0.783821i	−0.989302	−	0.145880i	$-0.953399\pi$
$587$	−32.8925	+	18.9905i	−1.35762	+	0.783821i	−0.368315	+	0.929701i	$0.620065\pi$
$588$		−	25.8225i		−	1.06490i
$589$	13.3968	−	20.6996i	0.552006	−	0.852914i
$590$	3.71425	+	6.12790i	0.152913	+	0.252282i
$591$	−28.2501	−	48.9306i	−1.16205	−	2.01274i
$592$	0.0726355	−	0.0419361i	0.00298530	−	0.00172356i
$593$	4.65934	+	2.69007i	0.191336	+	0.110468i	0.592608	−	0.805491i	$-0.298098\pi$
$593$	4.65934	+	2.69007i	0.191336	+	0.110468i	−0.401272	+	0.915959i	$0.631432\pi$
$594$	−8.84206	−	15.3149i	−0.362794	−	0.628378i
$595$	0.142937	+	6.70668i	0.00585985	+	0.274947i
$596$	−5.48175			−0.224541
$597$		−	4.94722i		−	0.202476i
$598$	0.490620	+	0.283260i	0.0200630	+	0.0115834i
$599$	11.2143	−	19.4237i	0.458202	−	0.793629i	−0.540664	−	0.841239i	$-0.681827\pi$
$599$	11.2143	−	19.4237i	0.458202	−	0.793629i	0.998866	+	0.0476095i	$0.0151603\pi$
$600$	20.0070	−	38.3381i	0.816783	−	1.56515i
$601$	−29.5732			−1.20632			−0.603159	−	0.797621i	$-0.706091\pi$
$601$	−29.5732			−1.20632			−0.603159	+	0.797621i	$0.706091\pi$
$602$	2.08789	+	1.20544i	0.0850960	+	0.0491302i
$603$	−22.6961	+	13.1036i	−0.924257	+	0.533620i
$604$	−0.124291	+	0.215278i	−0.00505731	+	0.00875952i
$605$	−14.3921	−	7.90528i	−0.585122	−	0.321395i
$606$	−4.70402	−	8.14760i	−0.191088	−	0.330974i
$607$		−	24.5915i		−	0.998139i	−0.866562	−	0.499069i	$-0.833675\pi$
$607$		−	24.5915i		−	0.998139i	0.866562	−	0.499069i	$-0.166325\pi$
$608$	−22.0949	+	11.3012i	−0.896065	+	0.458323i
$609$	15.2402			0.617564
$610$	3.26122	−	5.93727i	0.132043	−	0.240393i
$611$	−0.859772	−	1.48917i	−0.0347826	−	0.0602453i
$612$	37.3197	+	21.5466i	1.50856	+	0.870968i
$613$	25.8856	−	14.9450i	1.04551	−	0.603624i	0.124119	−	0.992267i	$-0.460389\pi$
$613$	25.8856	−	14.9450i	1.04551	−	0.603624i	0.921388	+	0.388643i	$0.127056\pi$
$614$	−9.05027	+	15.6755i	−0.365239	+	0.632613i
$615$	35.8667	+	59.1741i	1.44628	+	2.38613i
$616$	3.04290			0.122602
$617$	35.2594	+	20.3570i	1.41949	+	0.819544i	0.996254	−	0.0864749i	$-0.0275603\pi$
$617$	35.2594	+	20.3570i	1.41949	+	0.819544i	0.423238	+	0.906019i	$0.360894\pi$
$618$	36.1025	+	20.8438i	1.45225	+	0.838459i
$619$	28.4784			1.14464			0.572322	−	0.820029i	$-0.306043\pi$
$619$	28.4784			1.14464			0.572322	+	0.820029i	$0.306043\pi$
$620$	−13.5816	+	8.23210i	−0.545451	+	0.330609i
$621$	−18.0900	+	31.3327i	−0.725925	+	1.25734i
$622$	−2.35219	+	1.35804i	−0.0943143	+	0.0544524i
$623$	1.65512	+	0.955582i	0.0663109	+	0.0382846i
$624$	0.0262868	+	0.0455302i	0.00105232	+	0.00182266i
$625$	−10.6114	+	22.6362i	−0.424456	+	0.905449i
$626$	−10.6060			−0.423902
$627$	1.30339	−	25.6321i	0.0520525	−	1.02365i
$628$			19.8009i			0.790141i
$629$	2.53014	+	4.38233i	0.100883	+	0.174735i
$630$	6.20857	+	3.41023i	0.247355	+	0.135867i
$631$	−21.2101	+	36.7369i	−0.844359	+	1.46247i	0.0418172	+	0.999125i	$0.486685\pi$
$631$	−21.2101	+	36.7369i	−0.844359	+	1.46247i	−0.886176	+	0.463348i	$0.846648\pi$
$632$	−16.1193	+	9.30649i	−0.641192	+	0.370192i
$633$	−16.2659	−	9.39114i	−0.646513	−	0.373264i
$634$	−9.88912			−0.392747
$635$	9.82446	+	16.2087i	0.389872	+	0.643224i
$636$	−15.8632	+	27.4758i	−0.629016	+	1.08949i
$637$	1.12521	+	0.649643i	0.0445826	+	0.0257398i
$638$		−	14.4141i		−	0.570659i
$639$	−33.6714			−1.33202
$640$	16.3201	−	0.347825i	0.645110	−	0.0137490i
$641$	14.7630	+	25.5702i	0.583102	+	1.00996i	0.995109	+	0.0987822i	$0.0314947\pi$
$641$	14.7630	+	25.5702i	0.583102	+	1.00996i	−0.412007	+	0.911181i	$0.635172\pi$
$642$	−2.43256	−	1.40444i	−0.0960055	−	0.0554288i
$643$	−18.7036	+	10.7985i	−0.737597	+	0.425852i	−0.821195	−	0.570648i	$-0.806692\pi$
$643$	−18.7036	+	10.7985i	−0.737597	+	0.425852i	0.0835979	+	0.996500i	$0.473359\pi$
$644$	−1.20051	−	2.07934i	−0.0473066	−	0.0819374i
$645$	−29.0422	+	17.6031i	−1.14354	+	0.693122i
$646$	−9.06885	−	17.7305i	−0.356809	−	0.697596i
$647$		−	12.6128i		−	0.495861i	−0.968778	−	0.247930i	$-0.920250\pi$
$647$		−	12.6128i		−	0.495861i	0.968778	−	0.247930i	$-0.0797504\pi$
$648$	32.9883	−	19.0458i	1.29590	−	0.748190i
$649$	−3.55125	−	6.15095i	−0.139399	−	0.241446i
$650$	0.450178	+	0.708222i	0.0176574	+	0.0277788i
$651$	−4.93368	−	8.54538i	−0.193366	−	0.334920i
$652$	9.99059	+	5.76807i	0.391262	+	0.225895i
$653$			26.6312i			1.04216i	0.853508	+	0.521080i	$0.174471\pi$
$653$			26.6312i			1.04216i	−0.853508	+	0.521080i	$0.825529\pi$
$654$	17.9173			0.700621
$655$	−0.0893064	−	4.19030i	−0.00348949	−	0.163729i
$656$	−0.441045	+	0.763913i	−0.0172199	+	0.0298258i
$657$			55.7638i			2.17555i
$658$		−	4.32055i		−	0.168433i
$659$	19.9772	−	34.6016i	0.778202	−	1.34789i	−0.154775	−	0.987950i	$-0.549465\pi$
$659$	19.9772	−	34.6016i	0.778202	−	1.34789i	0.932977	−	0.359936i	$-0.117202\pi$
$660$	−7.95874	+	14.4894i	−0.309794	+	0.564001i
$661$	6.76165	−	11.7115i	0.262998	−	0.455526i	−0.704039	−	0.710161i	$-0.748622\pi$
$661$	6.76165	−	11.7115i	0.262998	−	0.455526i	0.967037	+	0.254635i	$0.0819555\pi$
$662$	4.37648	−	2.52676i	0.170097	−	0.0982053i
$663$	−2.74698	+	1.58597i	−0.106684	+	0.0615939i
$664$	−12.6887			−0.492418
$665$	2.61864	+	4.86132i	0.101547	+	0.188514i
$666$	5.34338			0.207052
$667$	−25.5389	+	14.7449i	−0.988871	+	0.570925i
$668$	−3.33851	+	1.92749i	−0.129171	+	0.0745768i
$669$	26.5195	−	45.9330i	1.02530	−	1.77587i
$670$	−6.83758	−	3.75574i	−0.264159	−	0.145097i
$671$	−3.35713	+	5.81471i	−0.129600	+	0.224475i
$672$			9.93166i			0.383122i
$673$		−	34.4110i		−	1.32645i	−0.748421	−	0.663224i	$-0.769188\pi$
$673$		−	34.4110i		−	1.32645i	0.748421	−	0.663224i	$-0.230812\pi$
$674$	3.71425	−	6.43327i	0.143068	−	0.247800i
$675$	−45.2296	+	28.7499i	−1.74089	+	1.10659i
$676$	16.2754			0.625977
$677$		−	29.6650i		−	1.14012i	−0.821604	−	0.570059i	$-0.806920\pi$
$677$		−	29.6650i		−	1.14012i	0.821604	−	0.570059i	$-0.193080\pi$
$678$	−18.1776	−	10.4949i	−0.698108	−	0.403053i
$679$	4.30335	+	7.45361i	0.165147	+	0.286043i
$680$	0.708700	+	33.2526i	0.0271774	+	1.27518i
$681$	−1.82446	−	3.16005i	−0.0699134	−	0.121094i
$682$	−8.08217	+	4.66625i	−0.309482	+	0.178680i
$683$			27.8978i			1.06748i	0.845648	+	0.533740i	$0.179214\pi$
$683$			27.8978i			1.06748i	−0.845648	+	0.533740i	$0.820786\pi$
$684$	35.4256	+	1.80139i	1.35453	+	0.0688779i
$685$	−14.4432	−	23.8290i	−0.551848	−	0.910458i
$686$	3.34304	+	5.79032i	0.127638	+	0.221075i
$687$	16.6607	−	9.61907i	0.635646	−	0.366991i
$688$	−0.374923	−	0.216462i	−0.0142938	−	0.00825253i
$689$	−0.798172	−	1.38247i	−0.0304079	−	0.0526680i
$690$	−20.0466	+	0.427246i	−0.763161	+	0.0162650i
$691$	−49.6386			−1.88834			−0.944170	−	0.329459i	$-0.893134\pi$
$691$	−49.6386			−1.88834			−0.944170	+	0.329459i	$0.893134\pi$
$692$		−	13.0753i		−	0.497049i
$693$	−6.08041	−	3.51053i	−0.230976	−	0.133354i
$694$	−5.21558	+	9.03364i	−0.197981	+	0.342912i
$695$	−0.598988	+	0.363059i	−0.0227209	+	0.0137716i
$696$	75.5629			2.86420
$697$	−46.0893	−	26.6097i	−1.74576	−	1.00791i
$698$	−14.1831	+	8.18863i	−0.536839	+	0.309944i
$699$	−4.24439	+	7.35150i	−0.160538	+	0.278059i
$700$	−0.151534	−	3.55341i	−0.00572744	−	0.134306i
$701$	24.9906	+	43.2851i	0.943883	+	1.63485i	0.757972	+	0.652287i	$0.226190\pi$
$701$	24.9906	+	43.2851i	0.943883	+	1.63485i	0.185911	+	0.982567i	$0.440476\pi$
$702$			1.79901i			0.0678991i
$703$	3.49682	+	2.26315i	0.131885	+	0.0853562i
$704$	9.05763			0.341372
$705$	53.3434	+	29.3004i	2.00903	+	1.10352i
$706$	3.32929	+	5.76651i	0.125300	+	0.217025i
$707$	−1.73746	−	1.00312i	−0.0653440	−	0.0377264i
$708$	12.4361	−	7.18000i	0.467378	−	0.269841i
$709$	12.5938	−	21.8131i	0.472971	−	0.819209i	−0.526551	−	0.850144i	$-0.676515\pi$
$709$	12.5938	−	21.8131i	0.472971	−	0.819209i	0.999521	+	0.0309345i	$0.00984834\pi$
$710$	−5.19533	−	8.57144i	−0.194977	−	0.321680i
$711$	42.9468			1.61063
$712$	8.20628	+	4.73790i	0.307543	+	0.177560i
$713$	16.5353	+	9.54667i	0.619253	+	0.357526i
$714$	−7.96986			−0.298265
$715$	−0.431150	−	0.711327i	−0.0161241	−	0.0266021i
$716$	−8.43972	+	14.6180i	−0.315407	+	0.546301i
$717$	46.1471	−	26.6431i	1.72340	−	0.995003i
$718$	−5.25285	−	3.03274i	−0.196035	−	0.113181i
$719$	8.58777	+	14.8745i	0.320270	+	0.554724i	0.980544	−	0.196301i	$-0.0628931\pi$
$719$	8.58777	+	14.8745i	0.320270	+	0.554724i	−0.660274	+	0.751025i	$0.729560\pi$
$720$	−1.11487	−	0.612377i	−0.0415489	−	0.0228219i
$721$	8.88979			0.331073
$722$	−13.2920	−	9.59421i	−0.494676	−	0.357060i
$723$			14.7386i			0.548136i
$724$	−4.99868	−	8.65796i	−0.185774	−	0.321771i
$725$	−43.6438	+	1.86117i	−1.62089	+	0.0691222i
$726$	9.75429	−	16.8949i	0.362016	−	0.627029i
$727$	−0.914981	+	0.528264i	−0.0339348	+	0.0195922i	−0.516871	−	0.856063i	$-0.672903\pi$
$727$	−0.914981	+	0.528264i	−0.0339348	+	0.0195922i	0.482937	+	0.875655i	$0.339570\pi$
$728$	−0.268082	−	0.154777i	−0.00993579	−	0.00573643i
$729$	11.1223			0.411937
$730$	−14.1953	+	8.60409i	−0.525393	+	0.318452i
$731$	13.0598	−	22.6203i	0.483035	−	0.836641i
$732$	−11.7563	−	6.78752i	−0.434526	−	0.250874i
$733$		−	20.5025i		−	0.757277i	−0.925545	−	0.378639i	$-0.876392\pi$
$733$		−	20.5025i		−	0.757277i	0.925545	−	0.378639i	$-0.123608\pi$
$734$	29.0851			1.07355
$735$	−45.9759	+	0.979868i	−1.69585	+	0.0361430i
$736$	−9.60888	−	16.6431i	−0.354188	−	0.613472i
$737$	6.69644	+	3.86619i	0.246666	+	0.142413i
$738$	−48.6678	+	28.0984i	−1.79149	+	1.03431i
$739$	12.4548	+	21.5723i	0.458157	+	0.793551i	0.998864	−	0.0476601i	$-0.0151764\pi$
$739$	12.4548	+	21.5723i	0.458157	+	0.793551i	−0.540707	+	0.841211i	$0.681843\pi$
$740$	−1.39066	−	2.29436i	−0.0511218	−	0.0843425i
$741$	−1.41861	+	2.19192i	−0.0521139	+	0.0805221i
$742$		−	4.01100i		−	0.147248i
$743$	−11.4812	+	6.62867i	−0.421204	+	0.243182i	−0.695592	−	0.718437i	$-0.744858\pi$
$743$	−11.4812	+	6.62867i	−0.421204	+	0.243182i	0.274388	+	0.961619i	$0.411525\pi$
$744$	−24.4618	−	42.3691i	−0.896814	−	1.55333i
$745$	0.208012	+	9.76004i	0.00762098	+	0.357580i
$746$	−4.31808	−	7.47913i	−0.158096	−	0.273830i
$747$	25.3550	+	14.6387i	0.927690	+	0.535602i
$748$		−	12.7145i		−	0.464889i
$749$	−0.598988			−0.0218866
$750$	−26.6188	−	13.1773i	−0.971982	−	0.481168i
$751$	−12.4183	+	21.5091i	−0.453149	+	0.784877i	−0.998580	−	0.0532786i	$-0.983033\pi$
$751$	−12.4183	+	21.5091i	−0.453149	+	0.784877i	0.545430	+	0.838156i	$0.316366\pi$
$752$			0.775843i			0.0282921i
$753$			80.8209i			2.94528i
$754$	−0.733174	+	1.26989i	−0.0267006	+	0.0462468i
$755$	0.388009	+	0.213125i	0.0141211	+	0.00775643i
$756$	3.81226	−	6.60302i	0.138650	−	0.240150i
$757$	41.9726	−	24.2329i	1.52552	−	0.880760i	0.525980	−	0.850497i	$-0.323699\pi$
$757$	41.9726	−	24.2329i	1.52552	−	0.880760i	0.999542	−	0.0302631i	$-0.00963450\pi$
$758$	26.7542	−	15.4465i	0.971756	−	0.561044i
$759$	19.8744			0.721395
$760$	12.9836	+	24.1031i	0.470963	+	0.874310i
$761$	40.3726			1.46351			0.731753	−	0.681570i	$-0.238702\pi$
$761$	40.3726			1.46351			0.731753	+	0.681570i	$0.238702\pi$
$762$	−19.5016	+	11.2592i	−0.706467	+	0.407879i
$763$	3.30894	−	1.91042i	0.119792	−	0.0691617i
$764$	8.85195	−	15.3320i	0.320252	−	0.554693i
$765$	36.9466	−	67.2639i	1.33581	−	2.43193i
$766$	7.00989	−	12.1415i	0.253278	−	0.438690i
$767$			0.722538i			0.0260893i
$768$			48.5638i			1.75239i
$769$	−22.4772	+	38.9317i	−0.810550	+	1.40391i	0.101930	+	0.994792i	$0.467498\pi$
$769$	−22.4772	+	38.9317i	−0.810550	+	1.40391i	−0.912480	+	0.409121i	$0.865835\pi$
$770$	−0.0445327	−	2.08950i	−0.00160485	−	0.0753003i
$771$	−68.5123			−2.46741
$772$		−	4.99337i		−	0.179715i
$773$	3.19256	+	1.84323i	0.114828	+	0.0662962i	0.556314	−	0.830972i	$-0.312215\pi$
$773$	3.19256	+	1.84323i	0.114828	+	0.0662962i	−0.441486	+	0.897268i	$0.645548\pi$
$774$	−13.7905	−	23.8858i	−0.495688	−	0.858557i
$775$	15.1723	+	23.8691i	0.545005	+	0.857404i
$776$	21.3365	+	36.9560i	0.765937	+	1.32664i
$777$	1.44359	−	0.833455i	0.0517884	−	0.0299000i
$778$			16.7255i			0.599639i
$779$	−43.7501	−	2.22469i	−1.56751	−	0.0797078i
$780$	1.43818	−	0.871710i	0.0514950	−	0.0312122i
$781$	4.96733	+	8.60367i	0.177745	+	0.307864i
$782$	13.3556	−	7.71084i	0.477594	−	0.275739i
$783$	−81.0999	−	46.8230i	−2.89827	−	1.67332i
$784$	−0.293113	−	0.507687i	−0.0104683	−	0.0181317i
$785$	35.2547	−	0.751370i	1.25829	−	0.0268175i
$786$	4.97953			0.177614
$787$			45.7141i			1.62953i	0.579790	+	0.814766i	$0.303135\pi$
$787$			45.7141i			1.62953i	−0.579790	+	0.814766i	$0.696865\pi$
$788$	−19.9529	−	11.5198i	−0.710793	−	0.410376i
$789$	13.5688	−	23.5019i	0.483064	−	0.836691i
$790$	6.62648	+	10.9326i	0.235760	+	0.388965i
$791$	−4.47602			−0.159149
$792$	−30.1475	−	17.4056i	−1.07124	−	0.618483i
$793$	0.591531	−	0.341521i	0.0210059	−	0.0121278i
$794$	2.30973	−	4.00056i	0.0819691	−	0.141975i
$795$	49.5215	+	27.2011i	1.75635	+	0.964724i
$796$	−1.00869	−	1.74710i	−0.0357520	−	0.0619243i
$797$		−	30.3378i		−	1.07462i	−0.843385	−	0.537310i	$-0.819441\pi$
$797$		−	30.3378i		−	1.07462i	0.843385	−	0.537310i	$-0.180559\pi$
$798$	−5.84060	+	2.98738i	−0.206755	+	0.105752i
$799$	−46.8091			−1.65599
$800$	−1.21288	−	28.4416i	−0.0428818	−	1.00556i
$801$	−10.9320	−	18.9348i	−0.386264	−	0.669029i
$802$	−6.23031	−	3.59707i	−0.220000	−	0.127017i
$803$	14.2487	−	8.22650i	0.502826	−	0.290307i
$804$	−7.81675	+	13.5390i	−0.275676	+	0.477484i
$805$	−3.65662	+	2.21635i	−0.128879	+	0.0781162i
$806$	0.949395			0.0334410
$807$	12.7042	+	7.33478i	0.447209	+	0.258197i
$808$	−8.61456	−	4.97362i	−0.303059	−	0.174971i
$809$	−34.5585			−1.21501			−0.607506	−	0.794315i	$-0.707830\pi$
$809$	−34.5585			−1.21501			−0.607506	+	0.794315i	$0.707830\pi$
$810$	−13.5611	−	22.3737i	−0.476490	−	0.786130i
$811$	−16.6377	+	28.8173i	−0.584229	+	1.01191i	0.410742	+	0.911751i	$0.365270\pi$
$811$	−16.6377	+	28.8173i	−0.584229	+	1.01191i	−0.994971	+	0.100162i	$0.968064\pi$
$812$	5.38204	−	3.10732i	0.188873	−	0.109046i
$813$	9.38359	+	5.41762i	0.329097	+	0.190004i
$814$	−0.788277	−	1.36534i	−0.0276291	−	0.0478550i
$815$	9.89071	−	18.0067i	0.346456	−	0.630748i
$816$	1.43115			0.0501003
$817$	1.09186	−	21.4722i	0.0381994	−	0.751218i
$818$			30.4757i			1.06556i
$819$	0.357126	+	0.618561i	0.0124790	+	0.0216143i
$820$	24.7312	+	13.5843i	0.863652	+	0.474386i
$821$	−6.35063	+	10.9996i	−0.221638	+	0.383889i	−0.955306	−	0.295620i	$-0.904474\pi$
$821$	−6.35063	+	10.9996i	−0.221638	+	0.383889i	0.733667	+	0.679509i	$0.237807\pi$
$822$	28.6698	−	16.5525i	0.999976	−	0.577336i
$823$	−10.4002	−	6.00454i	−0.362527	−	0.209305i	0.307662	−	0.951496i	$-0.400453\pi$
$823$	−10.4002	−	6.00454i	−0.362527	−	0.209305i	−0.670189	+	0.742191i	$0.733787\pi$
$824$	44.0767			1.53549
$825$	26.0999	+	13.6204i	0.908680	+	0.474201i
$826$	−0.907731	+	1.57224i	−0.0315840	+	0.0547051i
$827$	−7.40057	−	4.27272i	−0.257343	−	0.148577i	0.365779	−	0.930702i	$-0.380803\pi$
$827$	−7.40057	−	4.27272i	−0.257343	−	0.148577i	−0.623122	+	0.782125i	$0.714136\pi$
$828$			27.4680i			0.954578i
$829$	27.1042			0.941369			0.470685	−	0.882302i	$-0.344007\pi$
$829$	27.1042			0.941369			0.470685	+	0.882302i	$0.344007\pi$
$830$	0.185699	+	8.71309i	0.00644570	+	0.302436i
$831$	−50.4553	−	87.3912i	−1.75028	−	3.03157i
$832$	−0.797985	−	0.460717i	−0.0276652	−	0.0159725i
$833$	30.6303	−	17.6844i	1.06128	−	0.612729i
$834$	−0.416081	−	0.720673i	−0.0144077	−	0.0249549i
$835$	3.55850	+	5.87094i	0.123147	+	0.203172i
$836$	−4.76584	−	9.31767i	−0.164830	−	0.322258i
$837$			60.6317i			2.09574i
$838$	−15.8743	+	9.16500i	−0.548367	+	0.316600i
$839$	−18.2190	−	31.5562i	−0.628989	−	1.08944i	−0.987755	−	0.156013i	$-0.950136\pi$
$839$	−18.2190	−	31.5562i	−0.628989	−	1.08944i	0.358766	−	0.933427i	$-0.383198\pi$
$840$	10.9538	−	0.233453i	0.377941	−	0.00805491i
$841$	−23.6649	−	40.9887i	−0.816029	−	1.41340i
$842$	11.1140	+	6.41667i	0.383014	+	0.221133i
$843$		−	30.5448i		−	1.05202i
$844$	−7.65903			−0.263635
$845$	−0.617591	−	28.9777i	−0.0212458	−	0.996863i
$846$	−24.7139	+	42.8058i	−0.849682	+	1.47169i
$847$		−	4.16017i		−	0.142945i
$848$			0.720256i			0.0247337i
$849$	−3.80554	+	6.59138i	−0.130606	+	0.226216i
$850$	22.8235	−	0.973300i	0.782840	−	0.0333839i
$851$	−1.61274	+	2.79334i	−0.0552838	+	0.0957544i
$852$	−17.3951	+	10.0431i	−0.595947	+	0.344070i
$853$	15.8890	−	9.17354i	0.544030	−	0.314096i	−0.202680	−	0.979245i	$-0.564965\pi$
$853$	15.8890	−	9.17354i	0.544030	−	0.314096i	0.746711	+	0.665149i	$0.231632\pi$
$854$	1.71622			0.0587279
$855$	1.86303	−	63.1423i	0.0637144	−	2.15942i
$856$	−2.96986			−0.101508
$857$	−6.80508	+	3.92892i	−0.232457	+	0.134209i	−0.611705	−	0.791086i	$-0.709516\pi$
$857$	−6.80508	+	3.92892i	−0.232457	+	0.134209i	0.379248	+	0.925295i	$0.376183\pi$
$858$	0.855834	−	0.494116i	0.0292177	−	0.0168688i
$859$	−17.1511	+	29.7066i	−0.585188	+	1.01358i	0.409664	+	0.912237i	$0.365646\pi$
$859$	−17.1511	+	29.7066i	−0.585188	+	1.01358i	−0.994852	+	0.101339i	$0.967687\pi$
$860$	−6.66709	+	12.1379i	−0.227346	+	0.413899i
$861$	−8.76550	+	15.1823i	−0.298728	+	0.517411i
$862$		−	14.6257i		−	0.498153i
$863$			35.9451i			1.22359i	0.791018	+	0.611793i	$0.209551\pi$
$863$			35.9451i			1.22359i	−0.791018	+	0.611793i	$0.790449\pi$
$864$	30.5134	−	52.8508i	1.03809	−	1.79802i
$865$	−23.2801	+	0.496159i	−0.791546	+	0.0168699i
$866$	19.9699			0.678604
$867$			34.0005i			1.15472i
$868$	−3.48463	−	2.01185i	−0.118276	−	0.0682868i
$869$	−6.33568	−	10.9737i	−0.214923	−	0.372258i
$870$	−1.10586	−	51.8875i	−0.0374921	−	1.75915i
$871$	−0.393308	−	0.681229i	−0.0133267	−	0.0230826i
$872$	16.4061	−	9.47209i	0.555582	−	0.320765i
$873$		−	98.4620i		−	3.33243i
$874$	6.89716	−	10.6569i	0.233300	−	0.360475i
$875$	−6.32094	+	0.404638i	−0.213687	+	0.0136793i
$876$	16.6325	+	28.8084i	0.561961	+	0.973345i
$877$	−21.8685	+	12.6258i	−0.738448	+	0.426343i	−0.821505	−	0.570202i	$-0.806865\pi$
$877$	−21.8685	+	12.6258i	−0.738448	+	0.426343i	0.0830567	+	0.996545i	$0.473532\pi$
$878$	25.0651	+	14.4713i	0.845905	+	0.488383i
$879$	26.2164	+	45.4082i	0.884259	+	1.53158i
$880$	0.00799675	+	0.375212i	0.000269570	+	0.0126484i
$881$	17.7796			0.599010			0.299505	−	0.954095i	$-0.403179\pi$
$881$	17.7796			0.599010			0.299505	+	0.954095i	$0.403179\pi$
$882$		−	37.3476i		−	1.25756i
$883$	6.54146	+	3.77671i	0.220138	+	0.127096i	0.606014	−	0.795454i	$-0.292768\pi$
$883$	6.54146	+	3.77671i	0.220138	+	0.127096i	−0.385876	+	0.922550i	$0.626101\pi$
$884$	−0.646726	+	1.12016i	−0.0217517	+	0.0376751i
$885$	−13.2556	−	21.8696i	−0.445582	−	0.735138i
$886$	−27.0550			−0.908930
$887$	14.0648	+	8.12030i	0.472249	+	0.272653i	0.717181	−	0.696887i	$-0.245432\pi$
$887$	14.0648	+	8.12030i	0.472249	+	0.272653i	−0.244932	+	0.969540i	$0.578766\pi$
$888$	7.15748	−	4.13238i	0.240189	−	0.138673i
$889$	−2.40101	+	4.15867i	−0.0805273	+	0.139477i
$890$	3.13332	−	5.70443i	0.105029	−	0.191213i
$891$	12.9660	+	22.4578i	0.434378	+	0.752364i
$892$		−	21.6282i		−	0.724165i
$893$	−34.3034	+	17.5456i	−1.14792	+	0.587142i
$894$	−11.5983			−0.387906
$895$	26.3471	+	14.4719i	0.880685	+	0.483742i
$896$	2.06787	+	3.58165i	0.0690825	+	0.119654i
$897$	−1.75095	−	1.01091i	−0.0584625	−	0.0337534i
$898$	11.9776	−	6.91525i	0.399697	−	0.230765i
$899$	−24.7101	+	42.7991i	−0.824127	+	1.42743i
$900$	−18.8245	+	36.0721i	−0.627482	+	1.20240i
$901$	−43.4553			−1.44771
$902$	14.3593	+	8.29036i	0.478113	+	0.276039i
$903$	−7.45136	−	4.30205i	−0.247966	−	0.143163i
$904$	−22.1927			−0.738118
$905$	−15.2255	+	9.22848i	−0.506112	+	0.306765i
$906$	−0.262974	+	0.455485i	−0.00873674	+	0.0151325i
$907$	−15.8080	+	9.12675i	−0.524896	+	0.303049i	−0.738935	−	0.673776i	$-0.764671\pi$
$907$	−15.8080	+	9.12675i	−0.524896	+	0.303049i	0.214040	+	0.976825i	$0.431338\pi$
$908$	−1.28861	−	0.743977i	−0.0427639	−	0.0246897i
$909$	11.4759	+	19.8768i	0.380632	+	0.659273i
$910$	−0.102359	+	0.186352i	−0.00339317	+	0.00617750i
$911$	15.9019			0.526853			0.263426	−	0.964679i	$-0.415147\pi$
$911$	15.9019			0.526853			0.263426	+	0.964679i	$0.415147\pi$
$912$	1.04880	−	0.536444i	0.0347292	−	0.0177634i
$913$		−	8.63824i		−	0.285884i
$914$	−6.64254	−	11.5052i	−0.219716	−	0.380558i
$915$	−11.6388	+	21.1892i	−0.384767	+	0.700494i
$916$	3.92246	−	6.79390i	0.129602	−	0.224477i
$917$	0.919612	−	0.530939i	0.0303683	−	0.0175331i
$918$	42.4112	+	24.4861i	1.39978	+	0.808162i
$919$	30.0748			0.992075			0.496038	−	0.868301i	$-0.334788\pi$
$919$	30.0748			0.992075			0.496038	+	0.868301i	$0.334788\pi$
$920$	−18.1300	+	10.9890i	−0.597728	+	0.362296i
$921$	32.2990	−	55.9436i	1.06429	−	1.84340i
$922$	4.34425	+	2.50815i	0.143070	+	0.0826016i
$923$		−	1.01065i		−	0.0332661i
$924$	−4.18830			−0.137785
$925$	−4.03225	+	2.56308i	−0.132580	+	0.0842736i
$926$	14.0973	+	24.4173i	0.463267	+	0.802402i
$927$	−88.0754	−	50.8504i	−2.89278	−	1.67014i
$928$	43.0780	−	24.8711i	1.41410	−	0.816433i
$929$	−18.4221	−	31.9081i	−0.604410	−	1.04687i	−0.992144	−	0.125098i	$-0.960075\pi$
$929$	−18.4221	−	31.9081i	−0.604410	−	1.04687i	0.387734	−	0.921771i	$-0.373258\pi$
$930$	−28.7360	+	17.4175i	−0.942291	+	0.571142i
$931$	15.8183	−	24.4411i	0.518424	−	0.801025i
$932$			3.46155i			0.113387i
$933$	8.39462	−	4.84663i	0.274827	−	0.158672i
$934$	2.84304	+	4.92429i	0.0930272	+	0.161128i
$935$	−22.6377	+	0.482469i	−0.740332	+	0.0157784i
$936$	1.77068	+	3.06690i	0.0578764	+	0.100245i
$937$	37.4401	+	21.6160i	1.22311	+	0.706165i	0.965580	−	0.260105i	$-0.0837571\pi$
$937$	37.4401	+	21.6160i	1.22311	+	0.706165i	0.257533	+	0.966270i	$0.417090\pi$
$938$		−	1.97646i		−	0.0645338i
$939$	37.8513			1.23523
$940$	24.8121	−	0.528812i	0.809283	−	0.0172480i
$941$	10.1601	−	17.5979i	0.331211	−	0.573674i	−0.651539	−	0.758615i	$-0.725876\pi$
$941$	10.1601	−	17.5979i	0.331211	−	0.573674i	0.982750	+	0.184941i	$0.0592095\pi$
$942$			41.8948i			1.36501i
$943$		−	33.9225i		−	1.10467i
$944$	0.163001	−	0.282327i	0.00530525	−	0.00918896i
$945$	−11.9011	−	6.53701i	−0.387142	−	0.212649i
$946$	−4.06885	+	7.04745i	−0.132290	+	0.229133i
$947$	−18.6239	+	10.7525i	−0.605195	+	0.349409i	−0.771083	−	0.636735i	$-0.780284\pi$
$947$	−18.6239	+	10.7525i	−0.605195	+	0.349409i	0.165888	+	0.986145i	$0.446951\pi$
$948$	22.1869	−	12.8096i	0.720597	−	0.416037i
$949$	−1.67376			−0.0543327
$950$	16.3611	−	9.26830i	0.530823	−	0.300703i
$951$	35.2928			1.14445
$952$	−7.29768	+	4.21332i	−0.236519	+	0.136554i
$953$	−15.3547	+	8.86503i	−0.497387	+	0.287166i	−0.727634	−	0.685966i	$-0.759380\pi$
$953$	−15.3547	+	8.86503i	−0.497387	+	0.287166i	0.230247	+	0.973132i	$0.426047\pi$
$954$	−22.9432	+	39.7389i	−0.742815	+	1.28659i
$955$	−27.6340	−	15.1787i	−0.894214	−	0.491173i
$956$	10.8645	−	18.8179i	0.351383	−	0.608613i
$957$			51.4417i			1.66288i
$958$			31.7559i			1.02599i
$959$	3.52980	−	6.11379i	0.113983	−	0.197425i
$960$	32.6054	−	0.694908i	1.05234	−	0.0224281i
$961$	0.997355			0.0321727
$962$			0.160383i			0.00517095i
$963$	5.93446	+	3.42626i	0.191235	+	0.110410i
$964$	3.00506	+	5.20491i	0.0967864	+	0.167639i
$965$	−8.89049	+	0.189480i	−0.286195	+	0.00609957i
$966$	−2.54003	−	4.39947i	−0.0817242	−	0.141551i
$967$	−11.8239	+	6.82652i	−0.380230	+	0.219526i	−0.677919	−	0.735137i	$-0.737118\pi$
$967$	−11.8239	+	6.82652i	−0.380230	+	0.219526i	0.297688	+	0.954663i	$0.403784\pi$
$968$		−	20.6267i		−	0.662966i
$969$	32.3654	+	63.2774i	1.03973	+	2.03276i
$970$	25.0647	−	15.1922i	0.804778	−	0.487793i
$971$	−13.9798	−	24.2136i	−0.448632	−	0.777053i	0.549666	−	0.835385i	$-0.314755\pi$
$971$	−13.9798	−	24.2136i	−0.448632	−	0.777053i	−0.998297	+	0.0583319i	$0.981422\pi$
$972$	−10.4394	+	6.02722i	−0.334845	+	0.193323i
$973$	−0.153682	−	0.0887286i	−0.00492683	−	0.00284451i
$974$	−1.05895	−	1.83416i	−0.0339311	−	0.0587704i
$975$	−1.60662	−	2.52754i	−0.0514529	−	0.0809460i
$976$	−0.308182			−0.00986468
$977$			17.8540i			0.571200i	0.958349	+	0.285600i	$0.0921929\pi$
$977$			17.8540i			0.571200i	−0.958349	+	0.285600i	$0.907807\pi$
$978$	21.1381	+	12.2041i	0.675922	+	0.390244i
$979$	−3.22547	+	5.58668i	−0.103086	+	0.178551i
$980$	−16.0365	+	9.72006i	−0.512267	+	0.310496i
$981$	−43.7109			−1.39558
$982$	−13.2957	−	7.67630i	−0.424284	−	0.244961i
$983$	42.4736	−	24.5222i	1.35470	−	0.782136i	0.365795	−	0.930695i	$-0.380797\pi$
$983$	42.4736	−	24.5222i	1.35470	−	0.782136i	0.988903	+	0.148559i	$0.0474636\pi$
$984$	−43.4605	+	75.2758i	−1.38547	+	2.39970i
$985$	−19.7534	+	35.9625i	−0.629396	+	1.14586i
$986$	19.9583	+	34.5688i	0.635602	+	1.10089i
$987$			15.4194i			0.490805i
$988$	−0.0540692	+	1.06331i	−0.00172017	+	0.0338284i
$989$	16.6489			0.529405
$990$	−11.5109	+	20.9564i	−0.365840	+	0.666037i
$991$	12.5337	+	21.7089i	0.398145	+	0.689607i	0.993497	−	0.113858i	$-0.0363209\pi$
$991$	12.5337	+	21.7089i	0.398145	+	0.689607i	−0.595352	+	0.803465i	$0.702988\pi$
$992$	−27.8911	−	16.1029i	−0.885543	−	0.511269i
$993$	−15.6190	+	9.01762i	−0.495653	+	0.286166i
$994$	1.26969	−	2.19917i	0.0402722	−	0.0697536i
$995$	−3.07236	+	1.86222i	−0.0974005	+	0.0590365i
$996$	17.4650			0.553400
$997$	−26.0000	−	15.0111i	−0.823427	−	0.475406i	0.0281699	−	0.999603i	$-0.491032\pi$
$997$	−26.0000	−	15.0111i	−0.823427	−	0.475406i	−0.851597	+	0.524197i	$0.824365\pi$
$998$	−21.8776	−	12.6310i	−0.692522	−	0.399828i
$999$	−10.2426			−0.324062

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.i.b.64.5	yes	12
3.2	odd	2		855.2.be.d.64.2		12
5.2	odd	4		475.2.e.g.26.5		12
5.3	odd	4		475.2.e.g.26.2		12
5.4	even	2	inner	95.2.i.b.64.2	yes	12
15.14	odd	2		855.2.be.d.64.5		12
19.7	even	3		1805.2.b.f.1084.5		6
19.11	even	3	inner	95.2.i.b.49.2	✓	12
19.12	odd	6		1805.2.b.g.1084.2		6
57.11	odd	6		855.2.be.d.334.5		12
95.7	odd	12		9025.2.a.bu.1.2		6
95.12	even	12		9025.2.a.bt.1.5		6
95.49	even	6	inner	95.2.i.b.49.5	yes	12
95.64	even	6		1805.2.b.f.1084.2		6
95.68	odd	12		475.2.e.g.201.2		12
95.69	odd	6		1805.2.b.g.1084.5		6
95.83	odd	12		9025.2.a.bu.1.5		6
95.87	odd	12		475.2.e.g.201.5		12
95.88	even	12		9025.2.a.bt.1.2		6
285.239	odd	6		855.2.be.d.334.2		12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.i.b.49.2	✓	12	19.11	even	3	inner
95.2.i.b.49.5	yes	12	95.49	even	6	inner
95.2.i.b.64.2	yes	12	5.4	even	2	inner
95.2.i.b.64.5	yes	12	1.1	even	1	trivial
475.2.e.g.26.2		12	5.3	odd	4
475.2.e.g.26.5		12	5.2	odd	4
475.2.e.g.201.2		12	95.68	odd	12
475.2.e.g.201.5		12	95.87	odd	12
855.2.be.d.64.2		12	3.2	odd	2
855.2.be.d.64.5		12	15.14	odd	2
855.2.be.d.334.2		12	285.239	odd	6
855.2.be.d.334.5		12	57.11	odd	6
1805.2.b.f.1084.2		6	95.64	even	6
1805.2.b.f.1084.5		6	19.7	even	3
1805.2.b.g.1084.2		6	19.12	odd	6
1805.2.b.g.1084.5		6	95.69	odd	6
9025.2.a.bt.1.2		6	95.88	even	12
9025.2.a.bt.1.5		6	95.12	even	12
9025.2.a.bu.1.2		6	95.7	odd	12
9025.2.a.bu.1.5		6	95.83	odd	12

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:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.i (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.747190 - 0.431391i) q^{2} +(-2.66661 + 1.53957i) q^{3} +(-0.627804 + 1.08739i) q^{4} +(1.95987 + 1.07652i) q^{5} +(-1.32831 + 2.30070i) q^{6} +0.566520i q^{7} +2.80888i q^{8} +(3.24054 - 5.61278i) q^{9} +O(q^{10})\)	\(q+(0.747190 - 0.431391i) q^{2} +(-2.66661 + 1.53957i) q^{3} +(-0.627804 + 1.08739i) q^{4} +(1.95987 + 1.07652i) q^{5} +(-1.32831 + 2.30070i) q^{6} +0.566520i q^{7} +2.80888i q^{8} +(3.24054 - 5.61278i) q^{9} +(1.92880 - 0.0411078i) q^{10} -1.91223 q^{11} -3.86619i q^{12} +(0.168469 + 0.0972656i) q^{13} +(0.244391 + 0.423298i) q^{14} +(-6.88359 + 0.146708i) q^{15} +(-0.0438854 - 0.0760118i) q^{16} +(4.58603 - 2.64775i) q^{17} -5.59175i q^{18} +(2.36834 - 3.65936i) q^{19} +(-2.40101 + 1.45530i) q^{20} +(-0.872196 - 1.51069i) q^{21} +(-1.42880 + 0.824918i) q^{22} +(2.92318 + 1.68770i) q^{23} +(-4.32446 - 7.49018i) q^{24} +(2.68222 + 4.21968i) q^{25} +0.167838 q^{26} +10.7187i q^{27} +(-0.616027 - 0.355664i) q^{28} +(-4.36834 + 7.56619i) q^{29} +(-5.08007 + 3.07914i) q^{30} +5.65662 q^{31} +(-4.93070 - 2.84674i) q^{32} +(5.09917 - 2.94401i) q^{33} +(2.28442 - 3.95674i) q^{34} +(-0.609869 + 1.11031i) q^{35} +(4.06885 + 7.04745i) q^{36} +0.955582i q^{37} +(0.190988 - 3.75592i) q^{38} -0.598988 q^{39} +(-3.02381 + 5.50505i) q^{40} +(-5.02496 - 8.70349i) q^{41} +(-1.30339 - 0.752514i) q^{42} +(4.27161 - 2.46622i) q^{43} +(1.20051 - 2.07934i) q^{44} +(12.3933 - 7.51185i) q^{45} +2.91223 q^{46} +(-7.65516 - 4.41971i) q^{47} +(0.234051 + 0.135129i) q^{48} +6.67906 q^{49} +(3.82446 + 1.99582i) q^{50} +(-8.15277 + 14.1210i) q^{51} +(-0.211531 + 0.122128i) q^{52} +(-7.10669 - 4.10305i) q^{53} +(4.62395 + 8.00892i) q^{54} +(-3.74773 - 2.05855i) q^{55} -1.59128 q^{56} +(-0.681609 + 13.4043i) q^{57} +7.53785i q^{58} +(1.85713 + 3.21664i) q^{59} +(4.16202 - 7.57725i) q^{60} +(1.75561 - 3.04080i) q^{61} +(4.22657 - 2.44021i) q^{62} +(3.17975 + 1.83583i) q^{63} -4.73669 q^{64} +(0.225470 + 0.371988i) q^{65} +(2.54003 - 4.39947i) q^{66} +(-3.50190 - 2.02182i) q^{67} +6.64906i q^{68} -10.3933 q^{69} +(0.0232884 + 1.09270i) q^{70} +(-2.59767 - 4.49929i) q^{71} +(15.7656 + 9.10228i) q^{72} +(-7.45136 + 4.30205i) q^{73} +(0.412229 + 0.714002i) q^{74} +(-13.6489 - 7.12278i) q^{75} +(2.49230 + 4.87268i) q^{76} -1.08332i q^{77} +(-0.447558 + 0.258398i) q^{78} +(3.31324 + 5.73870i) q^{79} +(-0.00418190 - 0.196217i) q^{80} +(-6.78057 - 11.7443i) q^{81} +(-7.50921 - 4.33544i) q^{82} +4.51737i q^{83} +2.19027 q^{84} +(11.8384 - 0.252307i) q^{85} +(2.12780 - 3.68547i) q^{86} -26.9014i q^{87} -5.37122i q^{88} +(1.68676 - 2.92155i) q^{89} +(6.01962 - 10.9591i) q^{90} +(-0.0551029 + 0.0954410i) q^{91} +(-3.67037 + 2.11909i) q^{92} +(-15.0840 + 8.70875i) q^{93} -7.62648 q^{94} +(8.58103 - 4.62233i) q^{95} +17.5310 q^{96} +(13.1568 - 7.59611i) q^{97} +(4.99053 - 2.88128i) q^{98} +(-6.19665 + 10.7329i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 2 q^{4} - 2 q^{5} - 12 q^{6} + 8 q^{9}+O(q^{10}) \) 12 * q + 2 * q^4 - 2 * q^5 - 12 * q^6 + 8 * q^9	\( 12 q + 2 q^{4} - 2 q^{5} - 12 q^{6} + 8 q^{9} + 6 q^{10} + 4 q^{11} + 22 q^{14} - 4 q^{15} - 14 q^{16} - 12 q^{19} - 40 q^{20} - 20 q^{21} + 2 q^{24} - 6 q^{25} - 44 q^{26} - 12 q^{29} + 12 q^{30} + 60 q^{31} + 10 q^{34} + 14 q^{36} + 4 q^{39} + 10 q^{40} - 12 q^{41} + 20 q^{44} + 60 q^{45} + 8 q^{46} - 4 q^{49} - 8 q^{50} - 40 q^{51} - 4 q^{54} - 18 q^{55} + 92 q^{56} + 20 q^{59} + 4 q^{60} + 2 q^{61} + 24 q^{64} - 40 q^{65} - 6 q^{66} - 36 q^{69} + 46 q^{70} + 2 q^{71} - 22 q^{74} - 56 q^{75} - 70 q^{76} + 24 q^{79} - 22 q^{80} - 14 q^{81} - 96 q^{84} + 2 q^{85} + 16 q^{86} + 36 q^{89} - 8 q^{90} + 24 q^{91} - 60 q^{94} + 46 q^{95} + 52 q^{96} - 30 q^{99}+O(q^{100}) \) 12 * q + 2 * q^4 - 2 * q^5 - 12 * q^6 + 8 * q^9 + 6 * q^10 + 4 * q^11 + 22 * q^14 - 4 * q^15 - 14 * q^16 - 12 * q^19 - 40 * q^20 - 20 * q^21 + 2 * q^24 - 6 * q^25 - 44 * q^26 - 12 * q^29 + 12 * q^30 + 60 * q^31 + 10 * q^34 + 14 * q^36 + 4 * q^39 + 10 * q^40 - 12 * q^41 + 20 * q^44 + 60 * q^45 + 8 * q^46 - 4 * q^49 - 8 * q^50 - 40 * q^51 - 4 * q^54 - 18 * q^55 + 92 * q^56 + 20 * q^59 + 4 * q^60 + 2 * q^61 + 24 * q^64 - 40 * q^65 - 6 * q^66 - 36 * q^69 + 46 * q^70 + 2 * q^71 - 22 * q^74 - 56 * q^75 - 70 * q^76 + 24 * q^79 - 22 * q^80 - 14 * q^81 - 96 * q^84 + 2 * q^85 + 16 * q^86 + 36 * q^89 - 8 * q^90 + 24 * q^91 - 60 * q^94 + 46 * q^95 + 52 * q^96 - 30 * q^99

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