LMFDB - Embedded newform 950.2.n.b.39.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(39,950)]

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([3, 0]))

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

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

chi := DirichletCharacter("950.39");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.n (of order $10$, 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:	$96$
Relative dimension:	$24$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			39.1
Character	$\chi$	$=$	950.39
Dual form			950.2.n.b.609.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.587785 - 0.809017i) q^{2} +(-3.22850 - 1.04900i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-1.55488 - 1.60697i) q^{5} +(1.04900 + 3.22850i) q^{6} -3.46343i q^{7} +(0.951057 - 0.309017i) q^{8} +(6.89577 + 5.01007i) q^{9} +O(q^{10})$	\(q+(-0.587785 - 0.809017i) q^{2} +(-3.22850 - 1.04900i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-1.55488 - 1.60697i) q^{5} +(1.04900 + 3.22850i) q^{6} -3.46343i q^{7} +(0.951057 - 0.309017i) q^{8} +(6.89577 + 5.01007i) q^{9} +(-0.386131 + 2.20248i) q^{10} +(-2.04352 + 1.48470i) q^{11} +(1.99532 - 2.74633i) q^{12} +(-3.03371 + 4.17554i) q^{13} +(-2.80197 + 2.03575i) q^{14} +(3.33421 + 6.81918i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(5.90165 - 1.91756i) q^{17} -8.52364i q^{18} +(-0.309017 - 0.951057i) q^{19} +(2.00880 - 0.982196i) q^{20} +(-3.63315 + 11.1817i) q^{21} +(2.40230 + 0.780554i) q^{22} +(3.82860 + 5.26961i) q^{23} -3.39465 q^{24} +(-0.164705 + 4.99729i) q^{25} +5.16125 q^{26} +(-11.0214 - 15.1697i) q^{27} +(3.29392 + 1.07026i) q^{28} +(-1.98932 + 6.12249i) q^{29} +(3.55703 - 6.70565i) q^{30} +(0.759213 + 2.33662i) q^{31} +1.00000i q^{32} +(8.15495 - 2.64971i) q^{33} +(-5.02024 - 3.64742i) q^{34} +(-5.56563 + 5.38521i) q^{35} +(-6.89577 + 5.01007i) q^{36} +(0.635325 - 0.874450i) q^{37} +(-0.587785 + 0.809017i) q^{38} +(14.1745 - 10.2984i) q^{39} +(-1.97536 - 1.04784i) q^{40} +(3.64085 + 2.64523i) q^{41} +(11.1817 - 3.63315i) q^{42} -3.92227i q^{43} +(-0.780554 - 2.40230i) q^{44} +(-2.67105 - 18.8713i) q^{45} +(2.01281 - 6.19480i) q^{46} +(-4.80182 - 1.56021i) q^{47} +(1.99532 + 2.74633i) q^{48} -4.99535 q^{49} +(4.13970 - 2.80408i) q^{50} -21.0650 q^{51} +(-3.03371 - 4.17554i) q^{52} +(-2.80247 - 0.910576i) q^{53} +(-5.79432 + 17.8331i) q^{54} +(5.56329 + 0.975339i) q^{55} +(-1.07026 - 3.29392i) q^{56} +3.39465i q^{57} +(6.12249 - 1.98932i) q^{58} +(-1.99712 - 1.45099i) q^{59} +(-7.51575 + 1.06378i) q^{60} +(7.98750 - 5.80326i) q^{61} +(1.44411 - 1.98764i) q^{62} +(17.3520 - 23.8830i) q^{63} +(0.809017 - 0.587785i) q^{64} +(11.4270 - 1.61738i) q^{65} +(-6.93702 - 5.04004i) q^{66} +(12.7645 - 4.14743i) q^{67} +6.20536i q^{68} +(-6.83279 - 21.0292i) q^{69} +(7.62813 + 1.33734i) q^{70} +(1.93940 - 5.96887i) q^{71} +(8.10646 + 2.63395i) q^{72} +(-5.06357 - 6.96940i) q^{73} -1.08088 q^{74} +(5.77392 - 15.9610i) q^{75} +1.00000 q^{76} +(5.14216 + 7.07758i) q^{77} +(-16.6631 - 5.41417i) q^{78} +(0.579191 - 1.78257i) q^{79} +(0.313370 + 2.21400i) q^{80} +(11.7678 + 36.2176i) q^{81} -4.50034i q^{82} +(-3.62316 + 1.17724i) q^{83} +(-9.51172 - 6.91067i) q^{84} +(-12.2578 - 6.50219i) q^{85} +(-3.17318 + 2.30545i) q^{86} +(12.8450 - 17.6797i) q^{87} +(-1.48470 + 2.04352i) q^{88} +(-5.39403 + 3.91899i) q^{89} +(-13.6972 + 13.2532i) q^{90} +(14.4617 + 10.5070i) q^{91} +(-6.19480 + 2.01281i) q^{92} -8.34019i q^{93} +(1.56021 + 4.80182i) q^{94} +(-1.04784 + 1.97536i) q^{95} +(1.04900 - 3.22850i) q^{96} +(3.26277 + 1.06014i) q^{97} +(2.93620 + 4.04133i) q^{98} -21.5301 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9}+O(q^{10}) $ 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9	$ 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9} - 24 q^{11} + 10 q^{12} + 10 q^{14} - 8 q^{15} - 24 q^{16} + 30 q^{17} + 24 q^{19} + 2 q^{20} - 24 q^{24} - 60 q^{25} + 84 q^{26} - 30 q^{27} - 10 q^{28} - 4 q^{29} + 16 q^{30} - 14 q^{31} + 100 q^{33} + 8 q^{34} + 42 q^{35} - 34 q^{36} - 30 q^{37} + 32 q^{39} + 12 q^{41} + 10 q^{42} + 4 q^{44} - 18 q^{45} - 10 q^{46} + 10 q^{48} - 132 q^{49} - 36 q^{50} + 36 q^{51} + 30 q^{53} + 24 q^{54} - 4 q^{55} - 10 q^{56} + 60 q^{58} + 16 q^{59} + 8 q^{60} + 42 q^{61} - 110 q^{63} + 24 q^{64} + 12 q^{65} - 20 q^{66} + 130 q^{67} - 8 q^{69} + 20 q^{70} - 8 q^{71} - 120 q^{73} - 124 q^{74} - 24 q^{75} + 96 q^{76} - 50 q^{78} + 4 q^{79} - 2 q^{80} - 10 q^{81} - 70 q^{83} + 52 q^{85} - 44 q^{86} - 70 q^{87} + 10 q^{88} - 26 q^{89} + 32 q^{90} - 4 q^{91} - 10 q^{92} + 10 q^{94} + 2 q^{95} - 6 q^{96} - 10 q^{97} - 60 q^{98} - 184 q^{99}+O(q^{100}) $ 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9 - 24 * q^11 + 10 * q^12 + 10 * q^14 - 8 * q^15 - 24 * q^16 + 30 * q^17 + 24 * q^19 + 2 * q^20 - 24 * q^24 - 60 * q^25 + 84 * q^26 - 30 * q^27 - 10 * q^28 - 4 * q^29 + 16 * q^30 - 14 * q^31 + 100 * q^33 + 8 * q^34 + 42 * q^35 - 34 * q^36 - 30 * q^37 + 32 * q^39 + 12 * q^41 + 10 * q^42 + 4 * q^44 - 18 * q^45 - 10 * q^46 + 10 * q^48 - 132 * q^49 - 36 * q^50 + 36 * q^51 + 30 * q^53 + 24 * q^54 - 4 * q^55 - 10 * q^56 + 60 * q^58 + 16 * q^59 + 8 * q^60 + 42 * q^61 - 110 * q^63 + 24 * q^64 + 12 * q^65 - 20 * q^66 + 130 * q^67 - 8 * q^69 + 20 * q^70 - 8 * q^71 - 120 * q^73 - 124 * q^74 - 24 * q^75 + 96 * q^76 - 50 * q^78 + 4 * q^79 - 2 * q^80 - 10 * q^81 - 70 * q^83 + 52 * q^85 - 44 * q^86 - 70 * q^87 + 10 * q^88 - 26 * q^89 + 32 * q^90 - 4 * q^91 - 10 * q^92 + 10 * q^94 + 2 * q^95 - 6 * q^96 - 10 * q^97 - 60 * q^98 - 184 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{3}{10}\right)$	$1$

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 $

$2$	−0.587785	−	0.809017i	−0.415627	−	0.572061i
$2$	−0.587785	−	0.809017i	−0.415627	−	0.572061i
$3$	−3.22850	−	1.04900i	−1.86398	−	0.605643i	−0.993557	−	0.113332i	$-0.963848\pi$
$3$	−3.22850	−	1.04900i	−1.86398	−	0.605643i	−0.870419	−	0.492311i	$-0.836152\pi$
$4$	−0.309017	+	0.951057i	−0.154508	+	0.475528i
$5$	−1.55488	−	1.60697i	−0.695363	−	0.718659i
$5$	−1.55488	−	1.60697i	−0.695363	−	0.718659i
$6$	1.04900	+	3.22850i	0.428254	+	1.31803i
$7$		−	3.46343i		−	1.30905i	−0.756039	−	0.654527i	$-0.772868\pi$
$7$		−	3.46343i		−	1.30905i	0.756039	−	0.654527i	$-0.227132\pi$
$8$	0.951057	−	0.309017i	0.336249	−	0.109254i
$9$	6.89577	+	5.01007i	2.29859	+	1.67002i
$10$	−0.386131	+	2.20248i	−0.122105	+	0.696484i
$11$	−2.04352	+	1.48470i	−0.616143	+	0.447654i	−0.851572	−	0.524237i	$-0.824351\pi$
$11$	−2.04352	+	1.48470i	−0.616143	+	0.447654i	0.235429	+	0.971892i	$0.424351\pi$
$12$	1.99532	−	2.74633i	0.576000	−	0.792797i
$13$	−3.03371	+	4.17554i	−0.841399	+	1.15809i	0.144294	+	0.989535i	$0.453909\pi$
$13$	−3.03371	+	4.17554i	−0.841399	+	1.15809i	−0.985693	+	0.168551i	$0.946091\pi$
$14$	−2.80197	+	2.03575i	−0.748859	+	0.544078i
$15$	3.33421	+	6.81918i	0.860890	+	1.76070i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	5.90165	−	1.91756i	1.43136	−	0.465077i	0.512167	−	0.858886i	$-0.328843\pi$
$17$	5.90165	−	1.91756i	1.43136	−	0.465077i	0.919192	+	0.393809i	$0.128843\pi$
$18$		−	8.52364i		−	2.00904i
$19$	−0.309017	−	0.951057i	−0.0708934	−	0.218187i
$19$	−0.309017	−	0.951057i	−0.0708934	−	0.218187i
$20$	2.00880	−	0.982196i	0.449182	−	0.219626i
$21$	−3.63315	+	11.1817i	−0.792819	+	2.44005i
$22$	2.40230	+	0.780554i	0.512172	+	0.166415i
$23$	3.82860	+	5.26961i	0.798318	+	1.09879i	0.993022	+	0.117928i	$0.0376252\pi$
$23$	3.82860	+	5.26961i	0.798318	+	1.09879i	−0.194704	+	0.980862i	$0.562375\pi$
$24$	−3.39465			−0.692930
$25$	−0.164705	+	4.99729i	−0.0329410	+	0.999457i
$26$	5.16125			1.01220
$27$	−11.0214	−	15.1697i	−2.12108	−	2.91941i
$28$	3.29392	+	1.07026i	0.622492	+	0.202260i
$29$	−1.98932	+	6.12249i	−0.369407	+	1.13692i	0.577768	+	0.816201i	$0.303924\pi$
$29$	−1.98932	+	6.12249i	−0.369407	+	1.13692i	−0.947175	+	0.320716i	$0.896076\pi$
$30$	3.55703	−	6.70565i	0.649422	−	1.22428i
$31$	0.759213	+	2.33662i	0.136359	+	0.419669i	0.995799	−	0.0915676i	$-0.0291877\pi$
$31$	0.759213	+	2.33662i	0.136359	+	0.419669i	−0.859440	+	0.511236i	$0.829188\pi$
$32$			1.00000i			0.176777i
$33$	8.15495	−	2.64971i	1.41960	−	0.461255i
$34$	−5.02024	−	3.64742i	−0.860964	−	0.625527i
$35$	−5.56563	+	5.38521i	−0.940763	+	0.910267i
$36$	−6.89577	+	5.01007i	−1.14929	+	0.835011i
$37$	0.635325	−	0.874450i	0.104447	−	0.143759i	−0.753594	−	0.657340i	$-0.771682\pi$
$37$	0.635325	−	0.874450i	0.104447	−	0.143759i	0.858041	+	0.513581i	$0.171682\pi$
$38$	−0.587785	+	0.809017i	−0.0953514	+	0.131240i
$39$	14.1745	−	10.2984i	2.26973	−	1.64906i
$40$	−1.97536	−	1.04784i	−0.312332	−	0.165677i
$41$	3.64085	+	2.64523i	0.568606	+	0.413116i	0.834598	−	0.550859i	$-0.185700\pi$
$41$	3.64085	+	2.64523i	0.568606	+	0.413116i	−0.265993	+	0.963975i	$0.585700\pi$
$42$	11.1817	−	3.63315i	1.72537	−	0.560608i
$43$		−	3.92227i		−	0.598141i	−0.954231	−	0.299070i	$-0.903324\pi$
$43$		−	3.92227i		−	0.598141i	0.954231	−	0.299070i	$-0.0966765\pi$
$44$	−0.780554	−	2.40230i	−0.117673	−	0.362160i
$45$	−2.67105	−	18.8713i	−0.398177	−	2.81317i
$46$	2.01281	−	6.19480i	0.296773	−	0.913374i
$47$	−4.80182	−	1.56021i	−0.700417	−	0.227579i	−0.0629049	−	0.998020i	$-0.520036\pi$
$47$	−4.80182	−	1.56021i	−0.700417	−	0.227579i	−0.637512	+	0.770440i	$0.720036\pi$
$48$	1.99532	+	2.74633i	0.288000	+	0.396398i
$49$	−4.99535			−0.713622
$50$	4.13970	−	2.80408i	0.585442	−	0.396557i
$51$	−21.0650			−2.94969
$52$	−3.03371	−	4.17554i	−0.420699	−	0.579043i
$53$	−2.80247	−	0.910576i	−0.384948	−	0.125077i	0.110148	−	0.993915i	$-0.464867\pi$
$53$	−2.80247	−	0.910576i	−0.384948	−	0.125077i	−0.495097	+	0.868838i	$0.664867\pi$
$54$	−5.79432	+	17.8331i	−0.788507	+	2.42677i
$55$	5.56329	+	0.975339i	0.750154	+	0.131515i
$56$	−1.07026	−	3.29392i	−0.143019	−	0.440168i
$57$			3.39465i			0.449632i
$58$	6.12249	−	1.98932i	0.803922	−	0.261210i
$59$	−1.99712	−	1.45099i	−0.260002	−	0.188903i	0.450146	−	0.892955i	$-0.351372\pi$
$59$	−1.99712	−	1.45099i	−0.260002	−	0.188903i	−0.710148	+	0.704052i	$0.751372\pi$
$60$	−7.51575	+	1.06378i	−0.970280	+	0.137334i
$61$	7.98750	−	5.80326i	1.02270	−	0.743031i	0.0558615	−	0.998439i	$-0.482209\pi$
$61$	7.98750	−	5.80326i	1.02270	−	0.743031i	0.966834	+	0.255407i	$0.0822095\pi$
$62$	1.44411	−	1.98764i	0.183402	−	0.252431i
$63$	17.3520	−	23.8830i	2.18615	−	3.00898i
$64$	0.809017	−	0.587785i	0.101127	−	0.0734732i
$65$	11.4270	−	1.61738i	1.41735	−	0.200611i
$66$	−6.93702	−	5.04004i	−0.853888	−	0.620386i
$67$	12.7645	−	4.14743i	1.55943	−	0.506690i	0.602775	−	0.797911i	$-0.294062\pi$
$67$	12.7645	−	4.14743i	1.55943	−	0.506690i	0.956656	+	0.291222i	$0.0940617\pi$
$68$			6.20536i			0.752510i
$69$	−6.83279	−	21.0292i	−0.822571	−	2.53161i
$70$	7.62813	+	1.33734i	0.911735	+	0.159843i
$71$	1.93940	−	5.96887i	0.230165	−	0.708374i	−0.767561	−	0.640975i	$-0.778530\pi$
$71$	1.93940	−	5.96887i	0.230165	−	0.708374i	0.997726	−	0.0673986i	$-0.0214699\pi$
$72$	8.10646	+	2.63395i	0.955355	+	0.310414i
$73$	−5.06357	−	6.96940i	−0.592646	−	0.815707i	0.402364	−	0.915480i	$-0.368188\pi$
$73$	−5.06357	−	6.96940i	−0.592646	−	0.815707i	−0.995010	+	0.0997725i	$0.968188\pi$
$74$	−1.08088			−0.125650
$75$	5.77392	−	15.9610i	0.666715	−	1.84301i
$76$	1.00000			0.114708
$77$	5.14216	+	7.07758i	0.586004	+	0.806565i
$78$	−16.6631	−	5.41417i	−1.88673	−	0.613034i
$79$	0.579191	−	1.78257i	0.0651640	−	0.200554i	−0.913173	−	0.407572i	$-0.866376\pi$
$79$	0.579191	−	1.78257i	0.0651640	−	0.200554i	0.978337	+	0.207017i	$0.0663757\pi$
$80$	0.313370	+	2.21400i	0.0350358	+	0.247533i
$81$	11.7678	+	36.2176i	1.30754	+	4.02418i
$82$		−	4.50034i		−	0.496980i
$83$	−3.62316	+	1.17724i	−0.397694	+	0.129219i	−0.501034	−	0.865427i	$-0.667047\pi$
$83$	−3.62316	+	1.17724i	−0.397694	+	0.129219i	0.103340	+	0.994646i	$0.467047\pi$
$84$	−9.51172	−	6.91067i	−1.03781	−	0.754016i
$85$	−12.2578	−	6.50219i	−1.32955	−	0.705262i
$86$	−3.17318	+	2.30545i	−0.342173	+	0.248603i
$87$	12.8450	−	17.6797i	1.37713	−	1.89546i
$88$	−1.48470	+	2.04352i	−0.158270	+	0.217840i
$89$	−5.39403	+	3.91899i	−0.571766	+	0.415412i	−0.835746	−	0.549116i	$-0.814965\pi$
$89$	−5.39403	+	3.91899i	−0.571766	+	0.415412i	0.263980	+	0.964528i	$0.414965\pi$
$90$	−13.6972	+	13.2532i	−1.44381	+	1.39701i
$91$	14.4617	+	10.5070i	1.51600	+	1.10144i
$92$	−6.19480	+	2.01281i	−0.645853	+	0.209850i
$93$		−	8.34019i		−	0.864837i
$94$	1.56021	+	4.80182i	0.160923	+	0.495270i
$95$	−1.04784	+	1.97536i	−0.107506	+	0.202668i
$96$	1.04900	−	3.22850i	0.107064	−	0.329508i
$97$	3.26277	+	1.06014i	0.331284	+	0.107641i	0.469936	−	0.882700i	$-0.344277\pi$
$97$	3.26277	+	1.06014i	0.331284	+	0.107641i	−0.138652	+	0.990341i	$0.544277\pi$
$98$	2.93620	+	4.04133i	0.296601	+	0.408236i
$99$	−21.5301			−2.16385
$100$	−4.70181	−	1.70089i	−0.470181	−	0.170089i
$101$	1.30187			0.129541			0.0647705	−	0.997900i	$-0.479368\pi$
$101$	1.30187			0.129541			0.0647705	+	0.997900i	$0.479368\pi$
$102$	12.3817	+	17.0420i	1.22597	+	1.68740i
$103$	−0.849131	−	0.275899i	−0.0836673	−	0.0271852i	0.266884	−	0.963729i	$-0.414006\pi$
$103$	−0.849131	−	0.275899i	−0.0836673	−	0.0271852i	−0.350552	+	0.936543i	$0.614006\pi$
$104$	−1.59491	+	4.90864i	−0.156394	+	0.481332i
$105$	23.6178	−	11.5478i	2.30486	−	1.12695i
$106$	0.910576	+	2.80247i	0.0884430	+	0.272200i
$107$			18.3674i			1.77564i	0.460188	+	0.887822i	$0.347782\pi$
$107$			18.3674i			1.77564i	−0.460188	+	0.887822i	$0.652218\pi$
$108$	17.8331	−	5.79432i	1.71599	−	0.557558i
$109$	7.10431	+	5.16158i	0.680469	+	0.494390i	0.873513	−	0.486800i	$-0.161836\pi$
$109$	7.10431	+	5.16158i	0.680469	+	0.494390i	−0.193044	+	0.981190i	$0.561836\pi$
$110$	−2.48095	−	5.07409i	−0.236550	−	0.483795i
$111$	−2.96845	+	2.15670i	−0.281753	+	0.204705i
$112$	−2.03575	+	2.80197i	−0.192361	+	0.264762i
$113$	−8.96300	+	12.3365i	−0.843169	+	1.16052i	0.142158	+	0.989844i	$0.454596\pi$
$113$	−8.96300	+	12.3365i	−0.843169	+	1.16052i	−0.985327	+	0.170678i	$0.945404\pi$
$114$	2.74633	−	1.99532i	0.257217	−	0.186879i
$115$	2.51510	−	14.3460i	0.234535	−	1.33778i
$116$	−5.20810	−	3.78390i	−0.483560	−	0.351327i
$117$	−41.8395	+	13.5945i	−3.86806	+	1.25681i
$118$			2.46857i			0.227250i
$119$	−6.64134	−	20.4399i	−0.608811	−	1.87373i
$120$	5.27827	+	5.45510i	0.481838	+	0.497980i
$121$	−1.42757	+	4.39360i	−0.129779	+	0.399418i
$122$	−9.38987	−	3.05096i	−0.850119	−	0.276220i
$123$	−8.97964	−	12.3594i	−0.809667	−	1.11441i
$124$	−2.45686			−0.220633
$125$	8.28659	−	7.50550i	0.741175	−	0.671312i
$126$	−29.5210			−2.62994
$127$	−4.04233	−	5.56378i	−0.358698	−	0.493706i	0.591087	−	0.806608i	$-0.298699\pi$
$127$	−4.04233	−	5.56378i	−0.358698	−	0.493706i	−0.949785	+	0.312902i	$0.898699\pi$
$128$	−0.951057	−	0.309017i	−0.0840623	−	0.0273135i
$129$	−4.11448	+	12.6631i	−0.362259	+	1.11492i
$130$	−8.02512	−	8.29397i	−0.703849	−	0.727430i
$131$	2.87178	+	8.83843i	0.250908	+	0.772217i	0.994608	+	0.103703i	$0.0330692\pi$
$131$	2.87178	+	8.83843i	0.250908	+	0.772217i	−0.743700	+	0.668514i	$0.766931\pi$
$132$			8.57463i			0.746325i
$133$	−3.29392	+	1.07026i	−0.285619	+	0.0928032i
$134$	−10.8581	−	7.88889i	−0.937999	−	0.681496i
$135$	−7.24027	+	41.2982i	−0.623143	+	3.55438i
$136$	5.02024	−	3.64742i	0.430482	−	0.312764i
$137$	−6.11842	+	8.42129i	−0.522732	+	0.719479i	−0.986001	−	0.166739i	$-0.946676\pi$
$137$	−6.11842	+	8.42129i	−0.522732	+	0.719479i	0.463269	+	0.886218i	$0.346676\pi$
$138$	−12.9967	+	17.8885i	−1.10636	+	1.52277i
$139$	10.1564	−	7.37904i	0.861452	−	0.625882i	−0.0668274	−	0.997765i	$-0.521288\pi$
$139$	10.1564	−	7.37904i	0.861452	−	0.625882i	0.928280	+	0.371883i	$0.121288\pi$
$140$	−3.40177	−	6.95735i	−0.287502	−	0.588003i
$141$	13.8660	+	10.0743i	1.16773	+	0.848405i
$142$	−5.96887	+	1.93940i	−0.500896	+	0.162751i
$143$		−	13.0369i		−	1.09020i
$144$	−2.63395	−	8.10646i	−0.219496	−	0.675538i
$145$	12.9318	−	6.32295i	1.07393	−	0.525093i
$146$	−2.66208	+	8.19303i	−0.220315	+	0.678060i
$147$	16.1275	+	5.24015i	1.33017	+	0.432200i
$148$	0.635325	+	0.874450i	0.0522234	+	0.0718793i
$149$	10.4543			0.856447			0.428224	−	0.903673i	$-0.359140\pi$
$149$	10.4543			0.856447			0.428224	+	0.903673i	$0.359140\pi$
$150$	−16.3065	+	4.71042i	−1.33142	+	0.384604i
$151$	−3.45024			−0.280776			−0.140388	−	0.990097i	$-0.544835\pi$
$151$	−3.45024			−0.280776			−0.140388	+	0.990097i	$0.544835\pi$
$152$	−0.587785	−	0.809017i	−0.0476757	−	0.0656199i
$153$	50.3035	+	16.3446i	4.06680	+	1.32138i
$154$	2.70339	−	8.32019i	0.217846	−	0.670460i
$155$	2.57439	−	4.85319i	0.206780	−	0.389817i
$156$	5.41417	+	16.6631i	0.433481	+	1.33412i
$157$		−	11.1526i		−	0.890076i	−0.895512	−	0.445038i	$-0.853190\pi$
$157$		−	11.1526i		−	0.890076i	0.895512	−	0.445038i	$-0.146810\pi$
$158$	−1.78257	+	0.579191i	−0.141813	+	0.0460779i
$159$	8.09257	+	5.87959i	0.641782	+	0.466282i
$160$	1.60697	−	1.55488i	0.127042	−	0.122924i
$161$	18.2509	−	13.2601i	1.43838	−	1.04504i
$162$	22.3837	−	30.8086i	1.75863	−	2.42055i
$163$	−6.82180	+	9.38940i	−0.534324	+	0.735434i	−0.987782	−	0.155844i	$-0.950190\pi$
$163$	−6.82180	+	9.38940i	−0.534324	+	0.735434i	0.453457	+	0.891278i	$0.350190\pi$
$164$	−3.64085	+	2.64523i	−0.284303	+	0.206558i
$165$	−16.9380	−	8.98480i	−1.31862	−	0.699465i
$166$	3.08205	+	2.23924i	0.239213	+	0.173799i
$167$	−5.09734	+	1.65622i	−0.394444	+	0.128163i	−0.499522	−	0.866301i	$-0.666491\pi$
$167$	−5.09734	+	1.65622i	−0.394444	+	0.128163i	0.105078	+	0.994464i	$0.466491\pi$
$168$			11.7571i			0.907082i
$169$	−4.21453	−	12.9710i	−0.324195	−	0.997769i
$170$	1.94457	+	13.7387i	0.149142	+	1.05371i
$171$	2.63395	−	8.10646i	0.201423	−	0.619916i
$172$	3.73030	+	1.21205i	0.284433	+	0.0924178i
$173$	13.9645	+	19.2205i	1.06170	+	1.46131i	0.878203	+	0.478287i	$0.158742\pi$
$173$	13.9645	+	19.2205i	1.06170	+	1.46131i	0.183499	+	0.983020i	$0.441258\pi$
$174$	−21.8533			−1.65669
$175$	17.3078	+	0.570444i	1.30834	+	0.0431215i
$176$	2.52593			0.190399
$177$	4.92560	+	6.77950i	0.370231	+	0.509579i
$178$	6.34106	+	2.06034i	0.475283	+	0.154429i
$179$	3.91241	−	12.0412i	0.292427	−	0.899998i	−0.691646	−	0.722236i	$-0.743114\pi$
$179$	3.91241	−	12.0412i	0.292427	−	0.899998i	0.984074	−	0.177762i	$-0.0568857\pi$
$180$	18.7731	+	3.29124i	1.39926	+	0.245315i
$181$	2.23112	+	6.86668i	0.165838	+	0.510396i	0.999097	−	0.0424861i	$-0.0135278\pi$
$181$	2.23112	+	6.86668i	0.165838	+	0.510396i	−0.833259	+	0.552883i	$0.813528\pi$
$182$		−	17.8756i		−	1.32503i
$183$	−31.8753	+	10.3569i	−2.35629	+	0.765605i
$184$	5.26961	+	3.82860i	0.388481	+	0.282248i
$185$	−2.39307	+	0.338715i	−0.175942	+	0.0249028i
$186$	−6.74735	+	4.90224i	−0.494740	+	0.359450i
$187$	−9.21311	+	12.6808i	−0.673729	+	0.927309i
$188$	2.96769	−	4.08467i	0.216441	−	0.297905i
$189$	−52.5393	+	38.1720i	−3.82167	+	2.77661i
$190$	2.21400	−	0.313370i	0.160620	−	0.0227343i
$191$	2.63919	+	1.91748i	0.190965	+	0.138744i	0.679160	−	0.733991i	$-0.262344\pi$
$191$	2.63919	+	1.91748i	0.190965	+	0.138744i	−0.488195	+	0.872735i	$0.662344\pi$
$192$	−3.22850	+	1.04900i	−0.232997	+	0.0757053i
$193$		−	12.8449i		−	0.924595i	−0.886725	−	0.462298i	$-0.847025\pi$
$193$		−	12.8449i		−	0.924595i	0.886725	−	0.462298i	$-0.152975\pi$
$194$	−1.06014	−	3.26277i	−0.0761134	−	0.234253i
$195$	−38.5888	−	6.76526i	−2.76340	−	0.484471i
$196$	1.54365	−	4.75086i	0.110261	−	0.339347i
$197$	7.65947	+	2.48871i	0.545715	+	0.177314i	0.568884	−	0.822418i	$-0.307375\pi$
$197$	7.65947	+	2.48871i	0.545715	+	0.177314i	−0.0231687	+	0.999732i	$0.507375\pi$
$198$	12.6551	+	17.4182i	0.899356	+	1.23786i
$199$	19.7962			1.40332			0.701659	−	0.712512i	$-0.252443\pi$
$199$	19.7962			1.40332			0.701659	+	0.712512i	$0.252443\pi$
$200$	1.38760	+	4.80360i	0.0981183	+	0.339666i
$201$	−45.5609			−3.21362
$202$	−0.765221	−	1.05324i	−0.0538408	−	0.0741055i
$203$	21.2048	+	6.88986i	1.48829	+	0.483573i
$204$	6.50945	−	20.0340i	0.455752	−	1.40266i
$205$	−1.41027	−	9.96376i	−0.0984977	−	0.695899i
$206$	0.275899	+	0.849131i	0.0192228	+	0.0591617i
$207$			55.5195i			3.85888i
$208$	4.90864	−	1.59491i	0.340353	−	0.110587i
$209$	2.04352	+	1.48470i	0.141353	+	0.102699i
$210$	−23.2245	−	12.3195i	−1.60265	−	0.850129i
$211$	16.3003	−	11.8428i	1.12216	−	0.815295i	0.137622	−	0.990485i	$-0.456054\pi$
$211$	16.3003	−	11.8428i	1.12216	−	0.815295i	0.984535	+	0.175190i	$0.0560540\pi$
$212$	1.73202	−	2.38392i	0.118956	−	0.163728i
$213$	−12.5227	+	17.2361i	−0.858043	+	1.18099i
$214$	14.8595	−	10.7961i	1.01578	−	0.738005i
$215$	−6.30297	+	6.09865i	−0.429859	+	0.415925i
$216$	−15.1697	−	11.0214i	−1.03217	−	0.749914i
$217$	8.09271	−	2.62948i	0.549369	−	0.178501i
$218$		−	8.78141i		−	0.594752i
$219$	9.03681	+	27.8124i	0.610651	+	1.87939i
$220$	−2.64675	+	4.98961i	−0.178444	+	0.336399i
$221$	−9.89702	+	30.4599i	−0.665745	+	2.04895i
$222$	3.48962	+	1.13385i	0.234208	+	0.0760988i
$223$	−11.2145	−	15.4354i	−0.750976	−	1.03363i	−0.997911	−	0.0645975i	$-0.979424\pi$
$223$	−11.2145	−	15.4354i	−0.750976	−	1.03363i	0.246936	−	0.969032i	$-0.420576\pi$
$224$	3.46343			0.231410
$225$	−26.1725	+	33.6349i	−1.74483	+	2.24233i
$226$	15.2488			1.01433
$227$	7.39332	+	10.1760i	0.490712	+	0.675407i	0.980519	−	0.196424i	$-0.0629329\pi$
$227$	7.39332	+	10.1760i	0.490712	+	0.675407i	−0.489807	+	0.871831i	$0.662933\pi$
$228$	−3.22850	−	1.04900i	−0.213813	−	0.0694720i
$229$	7.86035	−	24.1917i	0.519426	−	1.59863i	−0.255655	−	0.966768i	$-0.582291\pi$
$229$	7.86035	−	24.1917i	0.519426	−	1.59863i	0.775081	−	0.631862i	$-0.217709\pi$
$230$	−13.0845	+	6.39763i	−0.862769	+	0.421847i
$231$	−9.17707	−	28.2441i	−0.603807	−	1.85833i
$232$			6.43756i			0.422647i
$233$	25.7981	−	8.38231i	1.69009	−	0.549143i	0.703263	−	0.710930i	$-0.251726\pi$
$233$	25.7981	−	8.38231i	1.69009	−	0.549143i	0.986826	+	0.161787i	$0.0517257\pi$
$234$	35.5908	+	25.8582i	2.32664	+	1.69040i
$235$	4.95904	+	10.1423i	0.323492	+	0.661611i
$236$	1.99712	−	1.45099i	0.130001	−	0.0944513i
$237$	−3.73984	+	5.14744i	−0.242928	+	0.334362i
$238$	−12.6326	+	17.3873i	−0.818849	+	1.12705i
$239$	11.2740	−	8.19102i	0.729252	−	0.529833i	−0.160075	−	0.987105i	$-0.551173\pi$
$239$	11.2740	−	8.19102i	0.729252	−	0.529833i	0.889327	+	0.457272i	$0.151173\pi$
$240$	1.31078	−	7.47663i	0.0846105	−	0.482615i
$241$	−13.6064	−	9.88560i	−0.876463	−	0.636787i	0.0558506	−	0.998439i	$-0.482213\pi$
$241$	−13.6064	−	9.88560i	−0.876463	−	0.636787i	−0.932313	+	0.361652i	$0.882213\pi$
$242$	4.39360	−	1.42757i	0.282431	−	0.0917675i
$243$		−	73.0208i		−	4.68429i
$244$	3.05096	+	9.38987i	0.195317	+	0.601125i
$245$	7.76717	+	8.02738i	0.496226	+	0.512851i
$246$	−4.72088	+	14.5294i	−0.300992	+	0.926359i
$247$	4.90864	+	1.59491i	0.312329	+	0.101482i
$248$	1.44411	+	1.98764i	0.0917010	+	0.126216i
$249$	12.9323			0.819553
$250$	−10.9428	−	2.29237i	−0.692084	−	0.144982i
$251$	10.4229			0.657890			0.328945	−	0.944349i	$-0.393307\pi$
$251$	10.4229			0.657890			0.328945	+	0.944349i	$0.393307\pi$
$252$	17.3520	+	23.8830i	1.09307	+	1.50449i
$253$	−15.6476	−	5.08421i	−0.983756	−	0.319642i
$254$	−2.12518	+	6.54062i	−0.133345	+	0.410395i
$255$	32.7535	+	33.8508i	2.05111	+	2.11982i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$			5.65747i			0.352903i	0.984309	+	0.176452i	$0.0564619\pi$
$257$			5.65747i			0.352903i	−0.984309	+	0.176452i	$0.943538\pi$
$258$	12.6631	−	4.11448i	0.788367	−	0.256156i
$259$	−3.02860	−	2.20040i	−0.188188	−	0.136726i
$260$	−1.99292	+	11.3675i	−0.123596	+	0.704984i
$261$	−44.3919	+	32.2526i	−2.74779	+	1.99639i
$262$	5.46245	−	7.51841i	0.337471	−	0.464489i
$263$	−5.38291	+	7.40894i	−0.331924	+	0.456855i	−0.942061	−	0.335442i	$-0.891115\pi$
$263$	−5.38291	+	7.40894i	−0.331924	+	0.456855i	0.610137	+	0.792296i	$0.291115\pi$
$264$	6.93702	−	5.04004i	0.426944	−	0.310193i
$265$	2.89423	+	5.91931i	0.177791	+	0.363621i
$266$	2.80197	+	2.03575i	0.171800	+	0.124820i
$267$	21.5257	−	6.99412i	1.31735	−	0.428033i
$268$			13.4214i			0.819841i
$269$	5.60548	+	17.2519i	0.341772	+	1.05187i	0.963289	+	0.268466i	$0.0865166\pi$
$269$	5.60548	+	17.2519i	0.341772	+	1.05187i	−0.621517	+	0.783401i	$0.713483\pi$
$270$	37.6667	−	18.4170i	2.29232	−	1.12082i
$271$	−9.34539	+	28.7622i	−0.567692	+	1.74718i	0.0921219	+	0.995748i	$0.470635\pi$
$271$	−9.34539	+	28.7622i	−0.567692	+	1.74718i	−0.659814	+	0.751429i	$0.729365\pi$
$272$	−5.90165	−	1.91756i	−0.357840	−	0.116269i
$273$	−35.6677	−	49.0924i	−2.15871	−	2.97120i
$274$	10.4093			0.628848
$275$	−7.08290	−	10.4566i	−0.427115	−	0.630555i
$276$	22.1114			1.33095
$277$	−9.52182	−	13.1057i	−0.572111	−	0.787443i	0.420692	−	0.907204i	$-0.361787\pi$
$277$	−9.52182	−	13.1057i	−0.572111	−	0.787443i	−0.992803	+	0.119760i	$0.961787\pi$
$278$	−11.9395	−	3.87939i	−0.716086	−	0.232670i
$279$	−6.47125	+	19.9165i	−0.387424	+	1.19237i
$280$	−3.62911	+	6.84152i	−0.216881	+	0.408859i
$281$	−7.80457	−	24.0200i	−0.465582	−	1.43291i	−0.858250	−	0.513232i	$-0.828448\pi$
$281$	−7.80457	−	24.0200i	−0.465582	−	1.43291i	0.392668	−	0.919680i	$-0.371552\pi$
$282$		−	17.1393i		−	1.02063i
$283$	12.8869	−	4.18720i	0.766046	−	0.248903i	0.100174	−	0.994970i	$-0.468060\pi$
$283$	12.8869	−	4.18720i	0.766046	−	0.248903i	0.665871	+	0.746066i	$0.268060\pi$
$284$	5.07742	+	3.68896i	0.301289	+	0.218900i
$285$	5.45510	−	5.27827i	0.323132	−	0.312657i
$286$	−10.5471	+	7.66292i	−0.623663	+	0.453118i
$287$	9.16159	−	12.6098i	0.540791	−	0.744336i
$288$	−5.01007	+	6.89577i	−0.295221	+	0.406337i
$289$	17.3991	−	12.6412i	1.02348	−	0.743600i
$290$	−12.7165	−	6.74551i	−0.746738	−	0.396110i
$291$	−9.42176	−	6.84531i	−0.552314	−	0.401279i
$292$	8.19303	−	2.66208i	0.479461	−	0.155786i
$293$		−	5.09861i		−	0.297864i	−0.988847	−	0.148932i	$-0.952416\pi$
$293$		−	5.09861i		−	0.297864i	0.988847	−	0.148932i	$-0.0475836\pi$
$294$	−5.24015	−	16.1275i	−0.305612	−	0.940576i
$295$	0.773576	+	5.46542i	0.0450393	+	0.318209i
$296$	0.334010	−	1.02798i	0.0194139	−	0.0597500i
$297$	45.0450	+	14.6360i	2.61378	+	0.849267i
$298$	−6.14487	−	8.45768i	−0.355963	−	0.489940i
$299$	−33.6183			−1.94420
$300$	13.3955	+	10.4235i	0.773392	+	0.601803i
$301$	−13.5845			−0.782998
$302$	2.02800	+	2.79130i	0.116698	+	0.160621i
$303$	−4.20310	−	1.36567i	−0.241462	−	0.0784556i
$304$	−0.309017	+	0.951057i	−0.0177233	+	0.0545468i
$305$	−21.7453	−	3.81231i	−1.24513	−	0.218292i
$306$	−16.3446	−	50.3035i	−0.934358	−	2.87566i
$307$		−	18.8140i		−	1.07377i	−0.843656	−	0.536885i	$-0.819601\pi$
$307$		−	18.8140i		−	1.07377i	0.843656	−	0.536885i	$-0.180399\pi$
$308$	−8.32019	+	2.70339i	−0.474087	+	0.154040i
$309$	2.45200	+	1.78148i	0.139489	+	0.101345i
$310$	−5.43950	+	0.769907i	−0.308943	+	0.0437278i
$311$	9.80604	−	7.12450i	0.556049	−	0.403993i	−0.273962	−	0.961741i	$-0.588334\pi$
$311$	9.80604	−	7.12450i	0.556049	−	0.403993i	0.830011	+	0.557747i	$0.188334\pi$
$312$	10.2984	−	14.1745i	0.583030	−	0.802472i
$313$	4.48744	−	6.17643i	0.253645	−	0.349112i	−0.663139	−	0.748497i	$-0.730776\pi$
$313$	4.48744	−	6.17643i	0.253645	−	0.349112i	0.916784	+	0.399384i	$0.130776\pi$
$314$	−9.02266	+	6.55535i	−0.509178	+	0.369940i
$315$	−65.3596	+	9.25100i	−3.68259	+	0.521235i
$316$	1.51634	+	1.10169i	0.0853008	+	0.0619747i
$317$	15.5838	−	5.06348i	0.875272	−	0.284393i	0.163279	−	0.986580i	$-0.447793\pi$
$317$	15.5838	−	5.06348i	0.875272	−	0.284393i	0.711993	+	0.702187i	$0.247793\pi$
$318$		−	10.0030i		−	0.560938i
$319$	−5.02486	−	15.4649i	−0.281338	−	0.865870i
$320$	−2.20248	−	0.386131i	−0.123122	−	0.0215854i
$321$	19.2675	−	59.2992i	1.07541	−	3.30976i
$322$	−21.4553	−	6.97124i	−1.19566	−	0.388492i
$323$	−3.64742	−	5.02024i	−0.202948	−	0.279334i
$324$	−38.0815			−2.11564
$325$	−20.3667	−	15.8480i	−1.12974	−	0.879091i
$326$	11.6059			0.642793
$327$	−17.5218	−	24.1166i	−0.968955	−	1.33365i
$328$	4.28008	+	1.39068i	0.236328	+	0.0767876i
$329$	−5.40366	+	16.6308i	−0.297914	+	0.916884i
$330$	2.68703	+	18.9842i	0.147916	+	1.04505i
$331$	5.01285	+	15.4280i	0.275531	+	0.847997i	0.989078	+	0.147390i	$0.0470874\pi$
$331$	5.01285	+	15.4280i	0.275531	+	0.847997i	−0.713547	+	0.700607i	$0.752913\pi$
$332$		−	3.80962i		−	0.209080i
$333$	8.76211	−	2.84698i	0.480160	−	0.156014i
$334$	4.33605	+	3.15033i	0.237258	+	0.172378i
$335$	−26.5120	−	14.0634i	−1.44851	−	0.768365i
$336$	9.51172	−	6.91067i	0.518907	−	0.377008i
$337$	−13.3294	+	18.3464i	−0.726100	+	0.999390i	0.273199	+	0.961957i	$0.411918\pi$
$337$	−13.3294	+	18.3464i	−0.726100	+	0.999390i	−0.999299	+	0.0374331i	$0.988082\pi$
$338$	−8.01651	+	11.0338i	−0.436041	+	0.600159i
$339$	41.8781	−	30.4262i	2.27451	−	1.65253i
$340$	9.97183	−	9.64858i	0.540798	−	0.523268i
$341$	−5.02064	−	3.64771i	−0.271883	−	0.197535i
$342$	−8.10646	+	2.63395i	−0.438347	+	0.142428i
$343$		−	6.94295i		−	0.374884i
$344$	−1.21205	−	3.73030i	−0.0653492	−	0.201124i
$345$	−23.1691	+	43.6779i	−1.24738	+	2.35154i
$346$	7.34158	−	22.5950i	0.394686	−	1.21472i
$347$	4.31275	+	1.40130i	0.231521	+	0.0752256i	0.422480	−	0.906372i	$-0.361160\pi$
$347$	4.31275	+	1.40130i	0.231521	+	0.0752256i	−0.190959	+	0.981598i	$0.561160\pi$
$348$	12.8450	+	17.6797i	0.688566	+	0.947729i
$349$	−3.21219			−0.171945			−0.0859724	−	0.996298i	$-0.527400\pi$
$349$	−3.21219			−0.171945			−0.0859724	+	0.996298i	$0.527400\pi$
$350$	−9.71175	−	14.3376i	−0.519115	−	0.766375i
$351$	96.7776			5.16561
$352$	−1.48470	−	2.04352i	−0.0791349	−	0.108920i
$353$	18.7883	+	6.10469i	1.00000	+	0.324920i	0.762866	−	0.646557i	$-0.223792\pi$
$353$	18.7883	+	6.10469i	1.00000	+	0.324920i	0.237135	+	0.971477i	$0.423792\pi$
$354$	2.58954	−	7.96978i	0.137632	−	0.423589i
$355$	−12.6073	+	6.16430i	−0.669127	+	0.327167i
$356$	−2.06034	−	6.34106i	−0.109198	−	0.336076i
$357$			72.9572i			3.86131i
$358$	−12.0412	+	3.91241i	−0.636395	+	0.206777i
$359$	−13.8168	−	10.0385i	−0.729224	−	0.529812i	0.160094	−	0.987102i	$-0.448820\pi$
$359$	−13.8168	−	10.0385i	−0.729224	−	0.529812i	−0.889318	+	0.457289i	$0.848820\pi$
$360$	−8.37189	−	17.1223i	−0.441237	−	0.902425i
$361$	−0.809017	+	0.587785i	−0.0425798	+	0.0309361i
$362$	4.24384	−	5.84115i	0.223051	−	0.307004i
$363$	9.21780	−	12.6872i	0.483809	−	0.665906i
$364$	−14.4617	+	10.5070i	−0.757999	+	0.550718i
$365$	−3.32639	+	18.9736i	−0.174111	+	0.993123i
$366$	27.1148	+	19.7000i	1.41731	+	1.02974i
$367$	−1.16891	+	0.379802i	−0.0610167	+	0.0198255i	−0.339366	−	0.940654i	$-0.610213\pi$
$367$	−1.16891	+	0.379802i	−0.0610167	+	0.0198255i	0.278350	+	0.960480i	$0.410213\pi$
$368$		−	6.51360i		−	0.339545i
$369$	11.8537	+	36.4818i	0.617077	+	1.89917i
$370$	1.68064	+	1.73694i	0.0873721	+	0.0902993i
$371$	−3.15372	+	9.70615i	−0.163733	+	0.503918i
$372$	7.93199	+	2.57726i	0.411254	+	0.133625i
$373$	5.54771	+	7.63577i	0.287250	+	0.395365i	0.928118	−	0.372285i	$-0.121426\pi$
$373$	5.54771	+	7.63577i	0.287250	+	0.395365i	−0.640869	+	0.767650i	$0.721426\pi$
$374$	15.6743			0.810497
$375$	−34.6266	+	15.5389i	−1.78811	+	0.802423i
$376$	−5.04893			−0.260379
$377$	−19.5297	−	26.8803i	−1.00583	−	1.38441i
$378$	61.7636	+	20.0682i	3.17678	+	1.03220i
$379$	−0.355371	+	1.09372i	−0.0182542	+	0.0561805i	−0.959769	−	0.280792i	$-0.909403\pi$
$379$	−0.355371	+	1.09372i	−0.0182542	+	0.0561805i	0.941515	+	0.336972i	$0.109403\pi$
$380$	−1.55488	−	1.60697i	−0.0797636	−	0.0824358i
$381$	7.21423	+	22.2031i	0.369596	+	1.13750i
$382$		−	3.26222i		−	0.166910i
$383$	−27.8169	+	9.03825i	−1.42138	+	0.461833i	−0.916039	−	0.401089i	$-0.868632\pi$
$383$	−27.8169	+	9.03825i	−1.42138	+	0.461833i	−0.505337	+	0.862922i	$0.668632\pi$
$384$	2.74633	+	1.99532i	0.140148	+	0.101823i
$385$	3.37802	−	19.2681i	0.172160	−	0.981992i
$386$	−10.3917	+	7.55004i	−0.528925	+	0.384287i
$387$	19.6508	−	27.0471i	0.998908	−	1.37488i
$388$	−2.01650	+	2.77548i	−0.102372	+	0.140903i
$389$	−22.7705	+	16.5438i	−1.15451	+	0.838802i	−0.989074	−	0.147418i	$-0.952904\pi$
$389$	−22.7705	+	16.5438i	−1.15451	+	0.838802i	−0.165438	+	0.986220i	$0.552904\pi$
$390$	17.2087	+	35.1955i	0.871396	+	1.78219i
$391$	32.6998	+	23.7578i	1.65370	+	1.20148i
$392$	−4.75086	+	1.54365i	−0.239955	+	0.0779661i
$393$		−	31.5474i		−	1.59136i
$394$	−2.48871	−	7.65947i	−0.125380	−	0.385879i
$395$	−3.76510	+	1.84093i	−0.189443	+	0.0926273i
$396$	6.65316	−	20.4763i	0.334334	−	1.02897i
$397$	26.5620	+	8.63051i	1.33311	+	0.433153i	0.886976	−	0.461815i	$-0.152802\pi$
$397$	26.5620	+	8.63051i	1.33311	+	0.433153i	0.446131	+	0.894968i	$0.352802\pi$
$398$	−11.6359	−	16.0155i	−0.583257	−	0.802785i
$399$	11.7571			0.588593
$400$	3.07058	−	3.94608i	0.153529	−	0.197304i
$401$	33.6959			1.68269			0.841347	−	0.540495i	$-0.181763\pi$
$401$	33.6959			1.68269			0.841347	+	0.540495i	$0.181763\pi$
$402$	26.7800	+	36.8595i	1.33567	+	1.83839i
$403$	−12.0599	−	3.91849i	−0.600744	−	0.195194i
$404$	−0.402301	+	1.23815i	−0.0200152	+	0.0616004i
$405$	39.9031	−	75.2246i	1.98280	−	3.73794i
$406$	−6.88986	−	21.2048i	−0.341938	−	1.05238i
$407$			2.73022i			0.135332i
$408$	−20.0340	+	6.50945i	−0.991832	+	0.322266i
$409$	16.2518	+	11.8076i	0.803602	+	0.583851i	0.911968	−	0.410260i	$-0.134562\pi$
$409$	16.2518	+	11.8076i	0.803602	+	0.583851i	−0.108367	+	0.994111i	$0.534562\pi$
$410$	−7.23192	+	6.99749i	−0.357159	+	0.345581i
$411$	28.5873	−	20.7699i	1.41011	−	1.02450i
$412$	0.524792	−	0.722314i	0.0258546	−	0.0355858i
$413$	−5.02540	+	6.91687i	−0.247284	+	0.340357i
$414$	44.9163	−	32.6336i	2.20751	−	1.60385i
$415$	7.52537	+	3.99186i	0.369406	+	0.195952i
$416$	−4.17554	−	3.03371i	−0.204723	−	0.148740i
$417$	−40.5305	+	13.1692i	−1.98479	+	0.644897i
$418$		−	2.52593i		−	0.123547i
$419$	−0.382338	−	1.17672i	−0.0186784	−	0.0574863i	0.941283	−	0.337619i	$-0.109622\pi$
$419$	−0.382338	−	1.17672i	−0.0186784	−	0.0574863i	−0.959961	+	0.280133i	$0.909622\pi$
$420$	3.68433	+	26.0303i	0.179777	+	1.27015i
$421$	−0.554262	+	1.70584i	−0.0270131	+	0.0831377i	−0.963654	−	0.267153i	$-0.913917\pi$
$421$	−0.554262	+	1.70584i	−0.0270131	+	0.0831377i	0.936641	+	0.350291i	$0.113917\pi$
$422$	−19.1621	−	6.22615i	−0.932797	−	0.303084i
$423$	−25.2955	−	34.8163i	−1.22991	−	1.69282i
$424$	−2.94669			−0.143104
$425$	8.61058	+	29.8081i	0.417674	+	1.44590i
$426$	21.3049			1.03223
$427$	−20.0992	−	27.6642i	−0.972668	−	1.33876i
$428$	−17.4684	−	5.67584i	−0.844368	−	0.274352i
$429$	−13.6758	+	42.0898i	−0.660274	+	2.03211i
$430$	8.63871	+	1.51451i	0.416595	+	0.0730362i
$431$	2.25994	+	6.95537i	0.108857	+	0.335028i	0.990616	−	0.136672i	$-0.0436406\pi$
$431$	2.25994	+	6.95537i	0.108857	+	0.335028i	−0.881759	+	0.471700i	$0.843641\pi$
$432$			18.7508i			0.902148i
$433$	31.2867	−	10.1657i	1.50354	−	0.488531i	0.562494	−	0.826801i	$-0.309842\pi$
$433$	31.2867	−	10.1657i	1.50354	−	0.488531i	0.941049	+	0.338271i	$0.109842\pi$
$434$	−6.88407	−	5.00157i	−0.330446	−	0.240083i
$435$	−48.3831	+	6.84816i	−2.31979	+	0.328344i
$436$	−7.10431	+	5.16158i	−0.340235	+	0.247195i
$437$	3.82860	−	5.26961i	0.183147	−	0.252080i
$438$	17.1890	−	23.6587i	0.821324	−	1.13046i
$439$	−9.20712	+	6.68936i	−0.439432	+	0.319266i	−0.785409	−	0.618977i	$-0.787547\pi$
$439$	−9.20712	+	6.68936i	−0.439432	+	0.319266i	0.345977	+	0.938243i	$0.387547\pi$
$440$	5.59240	−	0.791549i	0.266607	−	0.0377356i
$441$	−34.4468	−	25.0271i	−1.64032	−	1.19176i
$442$	30.4599	−	9.89702i	1.44883	−	0.470753i
$443$			9.94773i			0.472631i	0.971676	+	0.236315i	$0.0759399\pi$
$443$			9.94773i			0.472631i	−0.971676	+	0.236315i	$0.924060\pi$
$444$	−1.13385	−	3.48962i	−0.0538100	−	0.165610i
$445$	14.6848	+	2.57449i	0.696125	+	0.122042i
$446$	−5.89579	+	18.1454i	−0.279174	+	0.859208i
$447$	−33.7516	−	10.9666i	−1.59640	−	0.518701i
$448$	−2.03575	−	2.80197i	−0.0961803	−	0.132381i
$449$	17.7560			0.837957			0.418979	−	0.907996i	$-0.362388\pi$
$449$	17.7560			0.837957			0.418979	+	0.907996i	$0.362388\pi$
$450$	42.5951	+	1.40388i	2.00795	+	0.0661797i
$451$	−11.3675			−0.535276
$452$	−8.96300	−	12.3365i	−0.421584	−	0.580261i
$453$	11.1391	+	3.61931i	0.523360	+	0.170050i
$454$	3.88690	−	11.9626i	0.182421	−	0.561434i
$455$	−5.60169	−	39.5767i	−0.262611	−	1.85538i
$456$	1.04900	+	3.22850i	0.0491241	+	0.151188i
$457$			35.3340i			1.65285i	0.563044	+	0.826427i	$0.309630\pi$
$457$			35.3340i			1.65285i	−0.563044	+	0.826427i	$0.690370\pi$
$458$	−24.1917	+	7.86035i	−1.13040	+	0.367290i
$459$	−94.1336	−	68.3920i	−4.39378	−	3.19227i
$460$	12.8667	+	6.82518i	0.599913	+	0.318226i
$461$	3.21313	−	2.33447i	0.149650	−	0.108727i	−0.510441	−	0.859913i	$-0.670518\pi$
$461$	3.21313	−	2.33447i	0.149650	−	0.108727i	0.660091	+	0.751186i	$0.270518\pi$
$462$	−17.4558	+	24.0259i	−0.812119	+	1.11779i
$463$	−8.89107	+	12.2375i	−0.413203	+	0.568725i	−0.963996	−	0.265917i	$-0.914325\pi$
$463$	−8.89107	+	12.2375i	−0.413203	+	0.568725i	0.550793	+	0.834642i	$0.314325\pi$
$464$	5.20810	−	3.78390i	0.241780	−	0.175663i
$465$	−13.4024	+	12.9680i	−0.621523	+	0.601376i
$466$	−21.9452	−	15.9441i	−1.01659	−	0.738596i
$467$	−14.0622	+	4.56907i	−0.650719	+	0.211431i	−0.615731	−	0.787956i	$-0.711139\pi$
$467$	−14.0622	+	4.56907i	−0.650719	+	0.211431i	−0.0349877	+	0.999388i	$0.511139\pi$
$468$		−	43.9926i		−	2.03356i
$469$	−14.3644	−	44.2089i	−0.663284	−	2.04138i
$470$	5.29045	−	9.97345i	0.244030	−	0.460041i
$471$	−11.6991	+	36.0063i	−0.539068	+	1.65908i
$472$	−2.34775	−	0.762830i	−0.108064	−	0.0351121i
$473$	5.82340	+	8.01522i	0.267760	+	0.368540i
$474$	6.36259			0.292243
$475$	4.80360	−	1.38760i	0.220404	−	0.0636676i
$476$	21.4918			0.985077
$477$	−14.7631	−	20.3197i	−0.675956	−	0.930373i
$478$	−13.2533	−	4.30627i	−0.606194	−	0.196964i
$479$	−6.04548	+	18.6061i	−0.276225	+	0.850133i	0.712668	+	0.701502i	$0.247487\pi$
$479$	−6.04548	+	18.6061i	−0.276225	+	0.850133i	−0.988893	+	0.148631i	$0.952513\pi$
$480$	−6.81918	+	3.33421i	−0.311252	+	0.152185i
$481$	1.72391	+	5.30565i	0.0786035	+	0.241917i
$482$			16.8184i			0.766056i
$483$	−72.8331	+	23.6649i	−3.31402	+	1.07679i
$484$	−3.73742	−	2.71539i	−0.169883	−	0.123427i
$485$	−3.36960	−	6.89156i	−0.153006	−	0.312929i
$486$	−59.0751	+	42.9205i	−2.67970	+	1.94692i
$487$	−4.31032	+	5.93265i	−0.195319	+	0.268834i	−0.895432	−	0.445198i	$-0.853133\pi$
$487$	−4.31032	+	5.93265i	−0.195319	+	0.268834i	0.700113	+	0.714033i	$0.253133\pi$
$488$	5.80326	−	7.98750i	0.262701	−	0.361577i
$489$	31.8737	−	23.1576i	1.44138	−	1.04722i
$490$	1.92886	−	11.0022i	0.0871371	−	0.497027i
$491$	2.30348	+	1.67358i	0.103955	+	0.0755274i	0.638548	−	0.769582i	$-0.279535\pi$
$491$	2.30348	+	1.67358i	0.103955	+	0.0755274i	−0.534594	+	0.845109i	$0.679535\pi$
$492$	14.5294	−	4.72088i	0.655034	−	0.212834i
$493$			39.9474i			1.79914i
$494$	−1.59491	−	4.90864i	−0.0717586	−	0.220850i
$495$	33.4766	+	34.5982i	1.50466	+	1.55507i
$496$	0.759213	−	2.33662i	0.0340897	−	0.104917i
$497$	−20.6728	−	6.71698i	−0.927300	−	0.301298i
$498$	−7.60143	−	10.4625i	−0.340628	−	0.468834i
$499$	38.0255			1.70225			0.851126	−	0.524961i	$-0.175920\pi$
$499$	38.0255			1.70225			0.851126	+	0.524961i	$0.175920\pi$
$500$	4.57746	+	10.2003i	0.204710	+	0.456173i
$501$	18.1941			0.812855
$502$	−6.12645	−	8.43234i	−0.273437	−	0.376354i
$503$	36.2488	+	11.7780i	1.61625	+	0.525153i	0.971054	−	0.238860i	$-0.0767737\pi$
$503$	36.2488	+	11.7780i	1.61625	+	0.525153i	0.645201	+	0.764013i	$0.276774\pi$
$504$	9.12250	−	28.0762i	0.406348	−	1.25061i
$505$	−2.02425	−	2.09207i	−0.0900781	−	0.0930958i
$506$	5.08421	+	15.6476i	0.226021	+	0.695621i
$507$			46.2979i			2.05616i
$508$	6.54062	−	2.12518i	0.290193	−	0.0942894i
$509$	0.112715	+	0.0818922i	0.00499600	+	0.00362981i	0.590280	−	0.807198i	$-0.299017\pi$
$509$	0.112715	+	0.0818922i	0.00499600	+	0.00362981i	−0.585284	+	0.810828i	$0.699017\pi$
$510$	8.13386	−	46.3952i	0.360173	−	2.05441i
$511$	−24.1381	+	17.5373i	−1.06780	+	0.775805i
$512$	0.587785	−	0.809017i	0.0259767	−	0.0357538i
$513$	−11.0214	+	15.1697i	−0.486609	+	0.669759i
$514$	4.57699	−	3.32538i	0.201882	−	0.146676i
$515$	0.876933	+	1.79352i	0.0386423	+	0.0790318i
$516$	−10.7718	−	7.82620i	−0.474204	−	0.344529i
$517$	12.1290	−	3.94096i	0.533434	−	0.173323i
$518$			3.74355i			0.164482i
$519$	−24.9221	−	76.7022i	−1.09396	−	3.36685i
$520$	10.3679	−	5.06936i	0.454664	−	0.222306i
$521$	12.2781	−	37.7881i	0.537914	−	1.65553i	−0.199354	−	0.979927i	$-0.563884\pi$
$521$	12.2781	−	37.7881i	0.537914	−	1.65553i	0.737268	−	0.675600i	$-0.236116\pi$
$522$	52.1858	+	16.9562i	2.28411	+	0.742153i
$523$	14.1949	+	19.5376i	0.620698	+	0.854318i	0.997404	−	0.0720151i	$-0.0229430\pi$
$523$	14.1949	+	19.5376i	0.620698	+	0.854318i	−0.376705	+	0.926333i	$0.622943\pi$
$524$	−9.29327			−0.405978
$525$	−55.2797	−	19.9976i	−2.41261	−	0.872766i
$526$	9.15795			0.399306
$527$	8.96121	+	12.3340i	0.390356	+	0.537280i
$528$	−8.15495	−	2.64971i	−0.354899	−	0.115314i
$529$	−6.00326	+	18.4761i	−0.261011	+	0.803311i
$530$	3.08764	−	5.82076i	0.134119	−	0.252838i
$531$	−6.50209	−	20.0114i	−0.282167	−	0.868419i
$532$		−	3.46343i		−	0.150159i
$533$	−22.0906	+	7.17766i	−0.956849	+	0.310899i
$534$	−18.3108	−	13.3036i	−0.792387	−	0.575703i
$535$	29.5159	−	28.5591i	1.27608	−	1.23472i
$536$	10.8581	−	7.88889i	0.469000	−	0.340748i
$537$	−25.2624	+	34.7708i	−1.09015	+	1.50047i
$538$	10.6623	−	14.6753i	0.459682	−	0.632699i
$539$	10.2081	−	7.41661i	0.439693	−	0.319456i
$540$	−37.0396	−	19.6478i	−1.59393	−	0.845505i
$541$	−17.2453	−	12.5295i	−0.741434	−	0.538684i	0.151726	−	0.988423i	$-0.451517\pi$
$541$	−17.2453	−	12.5295i	−0.741434	−	0.538684i	−0.893160	+	0.449739i	$0.851517\pi$
$542$	28.7622	−	9.34539i	1.23544	−	0.401419i
$543$		−	24.5095i		−	1.05181i
$544$	1.91756	+	5.90165i	0.0822148	+	0.253031i
$545$	−2.75183	−	19.4420i	−0.117875	−	0.832806i
$546$	−18.7516	+	57.7115i	−0.802495	+	2.46983i
$547$	−5.23438	−	1.70075i	−0.223806	−	0.0727190i	0.194967	−	0.980810i	$-0.437540\pi$
$547$	−5.23438	−	1.70075i	−0.223806	−	0.0727190i	−0.418774	+	0.908091i	$0.637540\pi$
$548$	−6.11842	−	8.42129i	−0.261366	−	0.359739i
$549$	84.1547			3.59163
$550$	−4.29632	+	11.8764i	−0.183196	+	0.506412i
$551$	6.43756			0.274249
$552$	−12.9967	−	17.8885i	−0.553178	−	0.761384i
$553$	−6.17379	−	2.00599i	−0.262536	−	0.0853032i
$554$	−5.00592	+	15.4066i	−0.212681	+	0.654565i
$555$	8.08134	+	1.41679i	0.343034	+	0.0601396i
$556$	3.87939	+	11.9395i	0.164523	+	0.506349i
$557$		−	30.9425i		−	1.31108i	−0.755161	−	0.655539i	$-0.772442\pi$
$557$		−	30.9425i		−	1.31108i	0.755161	−	0.655539i	$-0.227558\pi$
$558$	19.9165	−	6.47125i	0.843131	−	0.273950i
$559$	16.3776	+	11.8990i	0.692698	+	0.503275i
$560$	7.66804	−	1.08534i	0.324034	−	0.0458638i
$561$	43.0467	−	31.2753i	1.81743	−	1.32044i
$562$	−14.8452	+	20.4326i	−0.626206	+	0.861898i
$563$	−8.16472	+	11.2378i	−0.344102	+	0.473615i	−0.945634	−	0.325233i	$-0.894557\pi$
$563$	−8.16472	+	11.2378i	−0.344102	+	0.473615i	0.601532	+	0.798849i	$0.294557\pi$
$564$	−13.8660	+	10.0743i	−0.583865	+	0.424203i
$565$	33.7608	−	4.77851i	1.42033	−	0.201033i
$566$	−10.9622	−	7.96453i	−0.460777	−	0.334774i
$567$	125.437	−	40.7570i	5.26787	−	1.71163i
$568$		−	6.27604i		−	0.263337i
$569$	3.97878	+	12.2454i	0.166799	+	0.513355i	0.999164	−	0.0408724i	$-0.0130137\pi$
$569$	3.97878	+	12.2454i	0.166799	+	0.513355i	−0.832365	+	0.554228i	$0.813014\pi$
$570$	−7.47663	−	1.31078i	−0.313162	−	0.0549025i
$571$	−8.83813	+	27.2010i	−0.369864	+	1.13833i	0.577014	+	0.816734i	$0.304218\pi$
$571$	−8.83813	+	27.2010i	−0.369864	+	1.13833i	−0.946879	+	0.321591i	$0.895782\pi$
$572$	12.3989	+	4.02863i	0.518422	+	0.168446i
$573$	−6.50918	−	8.95912i	−0.271925	−	0.374272i
$574$	−15.5866			−0.650573
$575$	−26.9643	+	18.2647i	−1.12449	+	0.761689i
$576$	8.52364			0.355152
$577$	6.28755	+	8.65406i	0.261754	+	0.360273i	0.919584	−	0.392893i	$-0.128526\pi$
$577$	6.28755	+	8.65406i	0.261754	+	0.360273i	−0.657830	+	0.753166i	$0.728526\pi$
$578$	−20.4539	−	6.64587i	−0.850769	−	0.276432i
$579$	−13.4743	+	41.4698i	−0.559974	+	1.72342i
$580$	2.01734	+	14.2528i	0.0837655	+	0.591814i
$581$	4.07728	+	12.5486i	0.169154	+	0.520603i
$582$			11.6459i			0.482740i
$583$	7.07882	−	2.30005i	0.293175	−	0.0952582i
$584$	−6.96940	−	5.06357i	−0.288396	−	0.209532i
$585$	86.9012	+	46.0970i	3.59292	+	1.90588i
$586$	−4.12486	+	2.99689i	−0.170397	+	0.123800i
$587$	20.9983	−	28.9017i	0.866694	−	1.19290i	−0.113238	−	0.993568i	$-0.536122\pi$
$587$	20.9983	−	28.9017i	0.866694	−	1.19290i	0.979932	−	0.199334i	$-0.0638777\pi$
$588$	−9.96735	+	13.7189i	−0.411047	+	0.565757i
$589$	1.98764	−	1.44411i	0.0818995	−	0.0595034i
$590$	3.96692	−	3.83833i	0.163315	−	0.158021i
$591$	−22.1180	−	16.0696i	−0.909811	−	0.661017i
$592$	−1.02798	+	0.334010i	−0.0422496	+	0.0137277i
$593$		−	11.8591i		−	0.486996i	−0.969901	−	0.243498i	$-0.921705\pi$
$593$		−	11.8591i		−	0.486996i	0.969901	−	0.243498i	$-0.0782949\pi$
$594$	−14.6360	−	45.0450i	−0.600523	−	1.84822i
$595$	−22.5199	+	42.4541i	−0.923226	+	1.74045i
$596$	−3.23055	+	9.94260i	−0.132328	+	0.407265i
$597$	−63.9122	−	20.7663i	−2.61575	−	0.849910i
$598$	19.7604	+	27.1978i	0.808061	+	1.11220i
$599$	−15.2558			−0.623336			−0.311668	−	0.950191i	$-0.600888\pi$
$599$	−15.2558			−0.623336			−0.311668	+	0.950191i	$0.600888\pi$
$600$	0.559115	−	16.9640i	0.0228258	−	0.692554i
$601$	23.8228			0.971752			0.485876	−	0.874028i	$-0.338501\pi$
$601$	23.8228			0.971752			0.485876	+	0.874028i	$0.338501\pi$
$602$	7.98478	+	10.9901i	0.325435	+	0.447923i
$603$	108.800	+	35.3512i	4.43067	+	1.43961i
$604$	1.06618	−	3.28137i	0.0433823	−	0.133517i
$605$	9.28007	−	4.53746i	0.377289	−	0.184474i
$606$	1.36567	+	4.20310i	0.0554765	+	0.170739i
$607$		−	32.1019i		−	1.30297i	−0.758660	−	0.651487i	$-0.774145\pi$
$607$		−	32.1019i		−	1.30297i	0.758660	−	0.651487i	$-0.225855\pi$
$608$	0.951057	−	0.309017i	0.0385704	−	0.0125323i
$609$	−61.2323	−	44.4879i	−2.48126	−	1.80274i
$610$	9.69732	+	19.8331i	0.392633	+	0.803019i
$611$	21.0820	−	15.3170i	0.852887	−	0.619659i
$612$	−31.0893	+	42.7907i	−1.25671	+	1.72971i
$613$	−20.0981	+	27.6626i	−0.811754	+	1.11728i	0.179297	+	0.983795i	$0.442618\pi$
$613$	−20.0981	+	27.6626i	−0.811754	+	1.11728i	−0.991050	+	0.133488i	$0.957382\pi$
$614$	−15.2208	+	11.0586i	−0.614262	+	0.446287i
$615$	−5.89896	+	33.6474i	−0.237869	+	1.35679i
$616$	7.07758	+	5.14216i	0.285164	+	0.207184i
$617$	23.6814	−	7.69455i	0.953376	−	0.309771i	0.209290	−	0.977854i	$-0.432885\pi$
$617$	23.6814	−	7.69455i	0.953376	−	0.309771i	0.744087	+	0.668083i	$0.232885\pi$
$618$		−	3.03084i		−	0.121918i
$619$	3.21676	+	9.90016i	0.129292	+	0.397921i	0.994659	−	0.103219i	$-0.0329142\pi$
$619$	3.21676	+	9.90016i	0.129292	+	0.397921i	−0.865366	+	0.501140i	$0.832914\pi$
$620$	3.82012	+	3.94811i	0.153420	+	0.158560i
$621$	37.7419	−	116.157i	1.51453	−	4.66124i
$622$	−11.5277	−	3.74557i	−0.462218	−	0.150184i
$623$	13.5732	+	18.6818i	0.543797	+	0.748472i
$624$	−17.5206			−0.701387
$625$	−24.9457	−	1.64615i	−0.997830	−	0.0658462i
$626$	−7.63448			−0.305135
$627$	−5.04004	−	6.93702i	−0.201280	−	0.277038i
$628$	10.6068	+	3.44635i	0.423256	+	0.137524i
$629$	2.07265	−	6.37897i	0.0826421	−	0.254346i
$630$	45.9016	+	47.4394i	1.82876	+	1.89003i
$631$	5.65791	+	17.4133i	0.225238	+	0.693211i	0.998267	+	0.0588410i	$0.0187405\pi$
$631$	5.65791	+	17.4133i	0.225238	+	0.693211i	−0.773029	+	0.634370i	$0.781260\pi$
$632$		−	1.87430i		−	0.0745556i
$633$	−65.0486	+	21.1356i	−2.58545	+	0.840064i
$634$	−13.2564	−	9.63130i	−0.526477	−	0.382508i
$635$	−2.65551	+	15.1469i	−0.105381	+	0.601087i
$636$	−8.09257	+	5.87959i	−0.320891	+	0.233141i
$637$	15.1544	−	20.8583i	0.600441	−	0.826436i
$638$	−9.55786	+	13.1553i	−0.378399	+	0.520822i
$639$	43.2781	−	31.4434i	1.71205	−	1.24388i
$640$	0.982196	+	2.00880i	0.0388247	+	0.0794049i
$641$	−15.4281	−	11.2092i	−0.609373	−	0.442735i	0.239821	−	0.970817i	$-0.422911\pi$
$641$	−15.4281	−	11.2092i	−0.609373	−	0.442735i	−0.849193	+	0.528082i	$0.822911\pi$
$642$	−59.2992	+	19.2675i	−2.34035	+	0.760426i
$643$			22.2826i			0.878740i	0.898306	+	0.439370i	$0.144798\pi$
$643$			22.2826i			0.878740i	−0.898306	+	0.439370i	$0.855202\pi$
$644$	6.97124	+	21.4553i	0.274705	+	0.845456i
$645$	26.7467	−	13.0777i	1.05315	−	0.514933i
$646$	−1.91756	+	5.90165i	−0.0754455	+	0.232197i
$647$	−28.2978	−	9.19450i	−1.11250	−	0.361473i	−0.305599	−	0.952160i	$-0.598857\pi$
$647$	−28.2978	−	9.19450i	−1.11250	−	0.361473i	−0.806901	+	0.590687i	$0.798857\pi$
$648$	22.3837	+	30.8086i	0.879316	+	1.21027i
$649$	6.23542			0.244762
$650$	−0.850083	+	25.7922i	−0.0333430	+	1.01166i
$651$	−28.8857			−1.13212
$652$	−6.82180	−	9.38940i	−0.267162	−	0.367717i
$653$	15.5367	+	5.04817i	0.607997	+	0.197550i	0.596804	−	0.802387i	$-0.296437\pi$
$653$	15.5367	+	5.04817i	0.607997	+	0.197550i	0.0111929	+	0.999937i	$0.496437\pi$
$654$	−9.21173	+	28.3508i	−0.360207	+	1.10860i
$655$	9.73782	−	18.3575i	0.380488	−	0.717289i
$656$	−1.39068	−	4.28008i	−0.0542970	−	0.167109i
$657$		−	73.4282i		−	2.86471i
$658$	16.6308	−	5.40366i	0.648335	−	0.210657i
$659$	24.5953	+	17.8695i	0.958096	+	0.696098i	0.952708	−	0.303888i	$-0.0982847\pi$
$659$	24.5953	+	17.8695i	0.958096	+	0.696098i	0.00538860	+	0.999985i	$0.498285\pi$
$660$	13.7792	−	13.3325i	0.536353	−	0.518967i
$661$	18.1989	−	13.2223i	0.707857	−	0.514288i	−0.174625	−	0.984635i	$-0.555871\pi$
$661$	18.1989	−	13.2223i	0.707857	−	0.514288i	0.882481	+	0.470347i	$0.155871\pi$
$662$	9.53500	−	13.1238i	0.370588	−	0.510071i
$663$	63.9051	−	87.9578i	2.48187	−	3.41600i
$664$	−3.08205	+	2.23924i	−0.119607	+	0.0868993i
$665$	6.84152	+	3.62911i	0.265303	+	0.140731i
$666$	−7.45349	−	5.41528i	−0.288817	−	0.209838i
$667$	−39.8794	+	12.9576i	−1.54414	+	0.501721i
$668$		−	5.35966i		−	0.207371i
$669$	20.0141	+	61.5972i	0.773791	+	2.38148i
$670$	4.20586	+	29.7149i	0.162486	+	1.14799i
$671$	−7.70648	+	23.7181i	−0.297505	+	0.915628i
$672$	−11.1817	−	3.63315i	−0.431343	−	0.140152i
$673$	9.53171	+	13.1193i	0.367420	+	0.505711i	0.952197	−	0.305483i	$-0.0988180\pi$
$673$	9.53171	+	13.1193i	0.367420	+	0.505711i	−0.584777	+	0.811194i	$0.698818\pi$
$674$	22.6774			0.873499
$675$	77.6227	−	52.5788i	2.98770	−	2.02376i
$676$	13.6385			0.524558
$677$	−11.3666	−	15.6448i	−0.436854	−	0.601278i	0.532655	−	0.846332i	$-0.321194\pi$
$677$	−11.3666	−	15.6448i	−0.436854	−	0.601278i	−0.969509	+	0.245054i	$0.921194\pi$
$678$	−49.2307	−	15.9960i	−1.89069	−	0.614324i
$679$	3.67171	−	11.3004i	0.140907	−	0.433668i
$680$	−13.6672	−	2.39608i	−0.524112	−	0.0918856i
$681$	−13.1946	−	40.6089i	−0.505620	−	1.55614i
$682$			6.20585i			0.237634i
$683$	−10.1018	+	3.28226i	−0.386533	+	0.125592i	−0.495836	−	0.868416i	$-0.665138\pi$
$683$	−10.1018	+	3.28226i	−0.386533	+	0.125592i	0.109303	+	0.994009i	$0.465138\pi$
$684$	6.89577	+	5.01007i	0.263666	+	0.191565i
$685$	23.0462	−	3.26196i	0.880548	−	0.124633i
$686$	−5.61697	+	4.08096i	−0.214457	+	0.155812i
$687$	−50.7543	+	69.8573i	−1.93640	+	2.66522i
$688$	−2.30545	+	3.17318i	−0.0878945	+	0.120976i
$689$	12.3040	−	8.93938i	0.468745	−	0.340563i
$690$	48.9546	−	6.92904i	1.86367	−	0.263784i
$691$	15.2522	+	11.0814i	0.580221	+	0.421555i	0.838804	−	0.544434i	$-0.183255\pi$
$691$	15.2522	+	11.0814i	0.580221	+	0.421555i	−0.258583	+	0.965989i	$0.583255\pi$
$692$	−22.5950	+	7.34158i	−0.858935	+	0.279085i
$693$			74.5679i			2.83260i
$694$	−1.40130	−	4.31275i	−0.0531926	−	0.163710i
$695$	−27.6498	−	4.84748i	−1.04882	−	0.183875i
$696$	6.75303	−	20.7837i	0.255973	−	0.787804i
$697$	26.5594	+	8.62968i	1.00601	+	0.326873i
$698$	1.88808	+	2.59872i	0.0714649	+	0.0983630i
$699$	−92.0822			−3.48287
$700$	−5.89092	+	16.2844i	−0.222656	+	0.615492i
$701$	−19.9602			−0.753888			−0.376944	−	0.926236i	$-0.623025\pi$
$701$	−19.9602			−0.753888			−0.376944	+	0.926236i	$0.623025\pi$
$702$	−56.8844	−	78.2947i	−2.14696	−	2.95504i
$703$	−1.02798	−	0.334010i	−0.0387709	−	0.0125974i
$704$	−0.780554	+	2.40230i	−0.0294182	+	0.0905400i
$705$	−5.37096	−	37.9465i	−0.202282	−	1.42915i
$706$	−6.10469	−	18.7883i	−0.229753	−	0.707108i
$707$		−	4.50894i		−	0.169576i
$708$	−7.96978	+	2.58954i	−0.299523	+	0.0973209i
$709$	−21.8187	−	15.8522i	−0.819420	−	0.595343i	0.0971266	−	0.995272i	$-0.469035\pi$
$709$	−21.8187	−	15.8522i	−0.819420	−	0.595343i	−0.916546	+	0.399929i	$0.869035\pi$
$710$	12.3974	+	6.57625i	0.465267	+	0.246802i
$711$	12.9247	−	9.39037i	0.484715	−	0.352166i
$712$	−3.91899	+	5.39403i	−0.146870	+	0.202150i
$713$	−9.40634	+	12.9467i	−0.352270	+	0.484858i
$714$	59.0236	−	42.8832i	2.20890	−	1.60486i
$715$	−20.9500	+	20.2708i	−0.783484	+	0.758087i
$716$	10.2428	+	7.44184i	0.382792	+	0.278115i
$717$	−44.9904	+	14.6183i	−1.68020	+	0.545930i
$718$			17.0785i			0.637365i
$719$	−0.612495	−	1.88506i	−0.0228422	−	0.0703011i	0.938986	−	0.343956i	$-0.111767\pi$
$719$	−0.612495	−	1.88506i	−0.0228422	−	0.0703011i	−0.961828	+	0.273655i	$0.911767\pi$
$720$	−8.93137	+	16.8372i	−0.332852	+	0.627487i
$721$	−0.955558	+	2.94091i	−0.0355868	+	0.109525i
$722$	0.951057	+	0.309017i	0.0353947	+	0.0115004i
$723$	33.5581	+	46.1888i	1.24804	+	1.71778i
$724$	−7.22006			−0.268331
$725$	−30.2682	−	10.9496i	−1.12413	−	0.406657i
$726$	−15.6823			−0.582023
$727$	13.3168	+	18.3290i	0.493893	+	0.679786i	0.981100	−	0.193501i	$-0.0619843\pi$
$727$	13.3168	+	18.3290i	0.493893	+	0.679786i	−0.487207	+	0.873287i	$0.661984\pi$
$728$	17.0007	+	5.52388i	0.630089	+	0.204728i
$729$	−41.2956	+	127.095i	−1.52947	+	4.70722i
$730$	17.3052	−	8.46129i	0.640492	−	0.313166i
$731$	−7.52119	−	23.1479i	−0.278181	−	0.856154i
$732$		−	33.5157i		−	1.23878i
$733$	3.34609	−	1.08721i	0.123591	−	0.0401570i	−0.246569	−	0.969125i	$-0.579303\pi$
$733$	3.34609	−	1.08721i	0.123591	−	0.0401570i	0.370159	+	0.928968i	$0.379303\pi$
$734$	0.994336	+	0.722427i	0.0367016	+	0.0266653i
$735$	−16.6556	−	34.0642i	−0.614350	−	1.25648i
$736$	−5.26961	+	3.82860i	−0.194240	+	0.141124i
$737$	−19.9267	+	27.4268i	−0.734011	+	1.01028i
$738$	22.5470	−	31.0333i	0.829967	−	1.14235i
$739$	−18.5219	+	13.4569i	−0.681339	+	0.495022i	−0.873802	−	0.486282i	$-0.838353\pi$
$739$	−18.5219	+	13.4569i	−0.681339	+	0.495022i	0.192462	+	0.981304i	$0.438353\pi$
$740$	0.417361	−	2.38061i	0.0153425	−	0.0875130i
$741$	−14.1745	−	10.2984i	−0.520713	−	0.378320i
$742$	9.70615	−	3.15372i	0.356324	−	0.115777i
$743$		−	33.2673i		−	1.22046i	−0.792225	−	0.610229i	$-0.791077\pi$
$743$		−	33.2673i		−	1.22046i	0.792225	−	0.610229i	$-0.208923\pi$
$744$	−2.57726	−	7.93199i	−0.0944869	−	0.290801i
$745$	−16.2551	−	16.7997i	−0.595542	−	0.615493i
$746$	2.91660	−	8.97638i	0.106784	−	0.328649i
$747$	−30.8825	−	10.0343i	−1.12993	−	0.367138i
$748$	−9.21311	−	12.6808i	−0.336865	−	0.463654i
$749$	63.6142			2.32441
$750$	32.9242	+	18.8800i	1.20222	+	0.689399i
$751$	21.2578			0.775707			0.387853	−	0.921721i	$-0.373217\pi$
$751$	21.2578			0.775707			0.387853	+	0.921721i	$0.373217\pi$
$752$	2.96769	+	4.08467i	0.108220	+	0.148953i
$753$	−33.6505	−	10.9337i	−1.22629	−	0.398447i
$754$	−10.2674	+	31.5997i	−0.373915	+	1.15079i
$755$	5.36470	+	5.54443i	0.195241	+	0.201782i
$756$	−20.0682	−	61.7636i	−0.729874	−	2.24632i
$757$			6.76326i			0.245815i	0.992418	+	0.122907i	$0.0392218\pi$
$757$			6.76326i			0.245815i	−0.992418	+	0.122907i	$0.960778\pi$
$758$	1.09372	−	0.355371i	0.0397256	−	0.0129076i
$759$	45.1850	+	32.8288i	1.64011	+	1.19161i
$760$	−0.386131	+	2.20248i	−0.0140065	+	0.0798922i
$761$	−35.1928	+	25.5690i	−1.27574	+	0.926877i	−0.999415	−	0.0341879i	$-0.989116\pi$
$761$	−35.1928	+	25.5690i	−1.27574	+	0.926877i	−0.276322	+	0.961065i	$0.589116\pi$
$762$	13.7223	−	18.8871i	0.497105	−	0.684207i
$763$	17.8768	−	24.6053i	0.647183	−	0.890771i
$764$	−2.63919	+	1.91748i	−0.0954825	+	0.0693721i
$765$	−51.9506	−	106.250i	−1.87828	−	3.84148i
$766$	23.6624	+	17.1918i	0.854959	+	0.621164i
$767$	12.1173	−	3.93716i	0.437531	−	0.142163i
$768$		−	3.39465i		−	0.122494i
$769$	−15.2985	−	47.0841i	−0.551680	−	1.69790i	−0.704554	−	0.709650i	$-0.748853\pi$
$769$	−15.2985	−	47.0841i	−0.551680	−	1.69790i	0.152874	−	0.988246i	$-0.451147\pi$
$770$	−17.5737	+	8.59262i	−0.633314	+	0.309656i
$771$	5.93470	−	18.2651i	0.213733	−	0.657803i
$772$	12.2162	+	3.96929i	0.439671	+	0.142858i
$773$	1.85146	+	2.54831i	0.0665924	+	0.0916565i	0.841014	−	0.541013i	$-0.181959\pi$
$773$	1.85146	+	2.54831i	0.0665924	+	0.0916565i	−0.774422	+	0.632670i	$0.781959\pi$
$774$	−33.4320			−1.20169
$775$	−11.8018	+	3.40915i	−0.423933	+	0.122460i
$776$	3.43068			0.123154
$777$	7.46960	+	10.2810i	0.267970	+	0.368830i
$778$	26.7684	+	8.69757i	0.959692	+	0.311823i
$779$	1.39068	−	4.28008i	0.0498264	−	0.153350i
$780$	18.3587	−	34.6095i	0.657348	−	1.23922i
$781$	4.89878	+	15.0769i	0.175292	+	0.539494i
$782$		−	40.4192i		−	1.44539i
$783$	114.802	−	37.3013i	4.10267	−	1.33304i
$784$	4.04133	+	2.93620i	0.144333	+	0.104864i
$785$	−17.9219	+	17.3410i	−0.639661	+	0.618926i
$786$	−25.5224	+	18.5431i	−0.910353	+	0.661410i
$787$	−14.8747	+	20.4732i	−0.530225	+	0.729792i	−0.987165	−	0.159706i	$-0.948945\pi$
$787$	−14.8747	+	20.4732i	−0.530225	+	0.729792i	0.456940	+	0.889498i	$0.348945\pi$
$788$	−4.73382	+	6.51554i	−0.168635	+	0.232106i
$789$	25.1507	−	18.2731i	0.895390	−	0.650539i
$790$	3.70241	+	1.96396i	0.131726	+	0.0698745i
$791$	42.7267	+	31.0427i	1.51919	+	1.10375i
$792$	−20.4763	+	6.65316i	−0.727594	+	0.236410i
$793$			50.9575i			1.80956i
$794$	−8.63051	−	26.5620i	−0.306285	−	0.942649i
$795$	−3.13463	−	22.1466i	−0.111174	−	0.785458i
$796$	−6.11738	+	18.8274i	−0.216825	+	0.667318i
$797$	−23.0281	−	7.48229i	−0.815698	−	0.265036i	−0.128689	−	0.991685i	$-0.541077\pi$
$797$	−23.0281	−	7.48229i	−0.815698	−	0.265036i	−0.687009	+	0.726649i	$0.741077\pi$
$798$	−6.91067	−	9.51172i	−0.244635	−	0.336711i
$799$	−31.3304			−1.10839
$800$	−4.99729	−	0.164705i	−0.176681	−	0.00582319i
$801$	−56.8304			−2.00800
$802$	−19.8060	−	27.2606i	−0.699373	−	0.962605i
$803$	20.6950	+	6.72420i	0.730310	+	0.237292i
$804$	14.0791	−	43.3310i	0.496531	−	1.52816i
$805$	−49.6865	−	8.71089i	−1.75122	−	0.307019i
$806$	3.91849	+	12.0599i	0.138023	+	0.424790i
$807$		−	61.5779i		−	2.16765i
$808$	1.23815	−	0.402301i	0.0435581	−	0.0141529i
$809$	28.4710	+	20.6854i	1.00099	+	0.727259i	0.962300	−	0.271992i	$-0.0876824\pi$
$809$	28.4710	+	20.6854i	1.00099	+	0.727259i	0.0386872	+	0.999251i	$0.487682\pi$
$810$	−84.3124	+	11.9336i	−2.96244	+	0.419304i
$811$	−10.3486	+	7.51868i	−0.363388	+	0.264017i	−0.754464	−	0.656342i	$-0.772103\pi$
$811$	−10.3486	+	7.51868i	−0.363388	+	0.264017i	0.391076	+	0.920358i	$0.372103\pi$
$812$	−13.1053	+	18.0379i	−0.459906	+	0.633006i
$813$	60.3432	−	83.0553i	2.11633	−	2.91288i
$814$	2.20879	−	1.60478i	0.0774182	−	0.0562476i
$815$	25.6955	−	3.63695i	0.900076	−	0.127397i
$816$	17.0420	+	12.3817i	0.596588	+	0.433446i
$817$	−3.73030	+	1.21205i	−0.130507	+	0.0424042i
$818$		−	20.0884i		−	0.702373i
$819$	47.0835	+	144.908i	1.64523	+	5.06350i
$820$	9.91190	+	1.73772i	0.346139	+	0.0606839i
$821$	0.668733	−	2.05815i	0.0233389	−	0.0718299i	−0.938709	−	0.344712i	$-0.887977\pi$
$821$	0.668733	−	2.05815i	0.0233389	−	0.0718299i	0.962048	+	0.272882i	$0.0879767\pi$
$822$	−33.6064	−	10.9194i	−1.17216	−	0.380857i
$823$	−13.2041	−	18.1739i	−0.460267	−	0.633504i	0.514297	−	0.857612i	$-0.328053\pi$
$823$	−13.2041	−	18.1739i	−0.460267	−	0.633504i	−0.974564	+	0.224109i	$0.928053\pi$
$824$	−0.892829			−0.0311032
$825$	11.8982	+	41.1891i	0.414241	+	1.43402i
$826$	8.54972			0.297483
$827$	1.12444	+	1.54766i	0.0391006	+	0.0538173i	0.828120	−	0.560551i	$-0.189411\pi$
$827$	1.12444	+	1.54766i	0.0391006	+	0.0538173i	−0.789019	+	0.614369i	$0.789411\pi$
$828$	−52.8022	−	17.1565i	−1.83500	−	0.596229i
$829$	16.6649	−	51.2892i	0.578795	−	1.78135i	−0.0440836	−	0.999028i	$-0.514037\pi$
$829$	16.6649	−	51.2892i	0.578795	−	1.78135i	0.622878	−	0.782319i	$-0.285963\pi$
$830$	−1.19382	−	8.43450i	−0.0414381	−	0.292766i
$831$	16.9933	+	52.3001i	0.589492	+	1.81427i
$832$			5.16125i			0.178934i
$833$	−29.4808	+	9.57890i	−1.02145	+	0.331889i
$834$	34.4773	+	25.0492i	1.19385	+	0.867384i
$835$	10.5872	+	5.61604i	0.366387	+	0.194351i
$836$	−2.04352	+	1.48470i	−0.0706765	+	0.0513495i
$837$	27.0782	−	37.2699i	0.935959	−	1.28824i
$838$	−0.727251	+	1.00097i	−0.0251225	+	0.0345781i
$839$	−30.4553	+	22.1270i	−1.05143	+	0.763910i	−0.972484	−	0.232968i	$-0.925156\pi$
$839$	−30.4553	+	22.1270i	−1.05143	+	0.763910i	−0.0789482	+	0.996879i	$0.525156\pi$
$840$	18.8934	−	18.2809i	0.651883	−	0.630751i
$841$	−10.0660	−	7.31335i	−0.347102	−	0.252185i
$842$	1.70584	−	0.554262i	0.0587872	−	0.0191011i
$843$			85.7356i			2.95289i
$844$	6.22615	+	19.1621i	0.214313	+	0.659587i
$845$	−14.2909	+	26.9409i	−0.491622	+	0.926797i
$846$	−13.2986	+	40.9290i	−0.457216	+	1.40717i
$847$	15.2169	+	4.94428i	0.522860	+	0.169887i
$848$	1.73202	+	2.38392i	0.0594778	+	0.0818641i
$849$	−45.9977			−1.57864
$850$	19.0541	−	24.4868i	0.653549	−	0.839892i
$851$	7.04042			0.241342
$852$	−12.5227	−	17.2361i	−0.429022	−	0.590497i
$853$	28.7036	+	9.32638i	0.982794	+	0.319329i	0.755970	−	0.654607i	$-0.227166\pi$
$853$	28.7036	+	9.32638i	0.982794	+	0.319329i	0.226824	+	0.973936i	$0.427166\pi$
$854$	−10.5668	+	32.5212i	−0.361588	+	1.11285i
$855$	−17.1223	+	8.37189i	−0.585571	+	0.286312i
$856$	5.67584	+	17.4684i	0.193996	+	0.597059i
$857$		−	2.45286i		−	0.0837882i	−0.999122	−	0.0418941i	$-0.986661\pi$
$857$		−	2.45286i		−	0.0837882i	0.999122	−	0.0418941i	$-0.0133392\pi$
$858$	42.0898	−	13.6758i	1.43692	−	0.466884i
$859$	−22.4035	−	16.2771i	−0.764398	−	0.555368i	0.135858	−	0.990728i	$-0.456621\pi$
$859$	−22.4035	−	16.2771i	−0.764398	−	0.555368i	−0.900256	+	0.435361i	$0.856621\pi$
$860$	−3.85244	−	7.87907i	−0.131367	−	0.268674i
$861$	−42.8060	+	31.1004i	−1.45882	+	1.05990i
$862$	4.29865	−	5.91659i	0.146413	−	0.201520i
$863$	22.7798	−	31.3537i	0.775433	−	1.06729i	−0.220338	−	0.975424i	$-0.570716\pi$
$863$	22.7798	−	31.3537i	0.775433	−	1.06729i	0.995771	−	0.0918689i	$-0.0292841\pi$
$864$	15.1697	−	11.0214i	0.516084	−	0.374957i
$865$	9.17364	−	52.3261i	0.311913	−	1.77914i
$866$	−26.6141	−	19.3362i	−0.904382	−	0.657072i
$867$	−69.4337	+	22.5604i	−2.35809	+	0.766191i
$868$			8.50918i			0.288820i
$869$	1.46299	+	4.50263i	0.0496286	+	0.152741i
$870$	33.9792	+	35.1175i	1.15200	+	1.19060i
$871$	−21.4059	+	65.8807i	−0.725313	+	2.23228i
$872$	8.35161	+	2.71360i	0.282821	+	0.0918942i
$873$	17.1879	+	23.6571i	0.581723	+	0.800673i
$874$	−6.51360			−0.220326
$875$	−25.9948	−	28.7000i	−0.878784	−	0.970238i
$876$	−29.2437			−0.988054
$877$	−21.0609	−	28.9878i	−0.711175	−	0.978848i	−0.999771	−	0.0213970i	$-0.993189\pi$
$877$	−21.0609	−	28.9878i	−0.711175	−	0.978848i	0.288596	−	0.957451i	$-0.406811\pi$
$878$	10.8236	+	3.51681i	0.365279	+	0.118686i
$879$	−5.34846	+	16.4609i	−0.180399	+	0.555212i
$880$	−3.92751	−	4.05909i	−0.132396	−	0.136832i
$881$	−9.30374	−	28.6340i	−0.313451	−	0.964703i	−0.976387	−	0.216027i	$-0.930690\pi$
$881$	−9.30374	−	28.6340i	−0.313451	−	0.964703i	0.662936	−	0.748676i	$-0.269310\pi$
$882$			42.5786i			1.43370i
$883$	−7.65428	+	2.48703i	−0.257587	+	0.0836951i	−0.434964	−	0.900448i	$-0.643239\pi$
$883$	−7.65428	+	2.48703i	−0.257587	+	0.0836951i	0.177377	+	0.984143i	$0.443239\pi$
$884$	−25.9107	−	18.8252i	−0.871472	−	0.633161i
$885$	3.23575	−	18.4566i	0.108769	−	0.620412i
$886$	8.04788	−	5.84713i	0.270374	−	0.196438i
$887$	−26.9933	+	37.1531i	−0.906347	+	1.24748i	0.0620525	+	0.998073i	$0.480235\pi$
$887$	−26.9933	+	37.1531i	−0.906347	+	1.24748i	−0.968399	+	0.249406i	$0.919765\pi$
$888$	−2.15670	+	2.96845i	−0.0723743	+	0.0996147i
$889$	−19.2698	+	14.0003i	−0.646288	+	0.469555i
$890$	−6.54868	−	13.3935i	−0.219512	−	0.448950i
$891$	−77.8201	−	56.5396i	−2.60707	−	1.89415i
$892$	18.1454	−	5.89579i	0.607552	−	0.197406i
$893$			5.04893i			0.168956i
$894$	10.9666	+	33.7516i	0.366777	+	1.12882i
$895$	−25.4331	+	12.4354i	−0.850134	+	0.415670i
$896$	−1.07026	+	3.29392i	−0.0357548	+	0.110042i
$897$	108.537	+	35.2657i	3.62394	+	1.17749i
$898$	−10.4367	−	14.3649i	−0.348278	−	0.479363i
$899$	−15.8162			−0.527500
$900$	−23.9010	−	35.2853i	−0.796699	−	1.17618i
$901$	−18.2852			−0.609170
$902$	6.68167	+	9.19652i	0.222475	+	0.306211i
$903$	43.8576	+	14.2502i	1.45949	+	0.474217i
$904$	−4.71213	+	14.5024i	−0.156723	+	0.482344i
$905$	7.56543	−	14.2622i	0.251483	−	0.474092i
$906$	−3.61931	−	11.1391i	−0.120244	−	0.370072i
$907$			12.1735i			0.404214i	0.979363	+	0.202107i	$0.0647788\pi$
$907$			12.1735i			0.404214i	−0.979363	+	0.202107i	$0.935221\pi$
$908$	−11.9626	+	3.88690i	−0.396994	+	0.128991i
$909$	8.97740	+	6.52247i	0.297762	+	0.216337i
$910$	−28.7256	+	27.7944i	−0.952245	+	0.921377i
$911$	−9.38859	+	6.82121i	−0.311058	+	0.225997i	−0.732350	−	0.680928i	$-0.761577\pi$
$911$	−9.38859	+	6.82121i	−0.311058	+	0.225997i	0.421292	+	0.906925i	$0.361577\pi$
$912$	1.99532	−	2.74633i	0.0660718	−	0.0909400i
$913$	5.65615	−	7.78502i	0.187191	−	0.257647i
$914$	28.5858	−	20.7688i	0.945534	−	0.686970i
$915$	66.2055	+	35.1189i	2.18869	+	1.16100i
$916$	20.5787	+	14.9513i	0.679938	+	0.494004i
$917$	30.6113	−	9.94621i	1.01087	−	0.328453i
$918$			116.355i			3.84030i
$919$	9.42913	+	29.0199i	0.311038	+	0.957277i	0.977355	+	0.211608i	$0.0678701\pi$
$919$	9.42913	+	29.0199i	0.311038	+	0.957277i	−0.666316	+	0.745669i	$0.732130\pi$
$920$	−2.04117	−	14.4211i	−0.0672953	−	0.475450i
$921$	−19.7359	+	60.7409i	−0.650321	+	2.00148i
$922$	−3.77726	−	1.22731i	−0.124397	−	0.0404192i
$923$	19.0397	+	26.2058i	0.626698	+	0.862576i
$924$	29.6976			0.976980
$925$	4.26524	+	3.31893i	0.140240	+	0.109126i
$926$	15.1264			0.497084
$927$	−4.47313	−	6.15674i	−0.146917	−	0.202214i
$928$	−6.12249	−	1.98932i	−0.200980	−	0.0653025i
$929$	−0.147066	+	0.452622i	−0.00482507	+	0.0148500i	−0.953440	−	0.301583i	$-0.902485\pi$
$929$	−0.147066	+	0.452622i	−0.00482507	+	0.0148500i	0.948615	+	0.316433i	$0.102485\pi$
$930$	18.3691	+	3.22041i	0.602345	+	0.105601i
$931$	1.54365	+	4.75086i	0.0505911	+	0.155703i
$932$			27.1257i			0.888532i
$933$	−39.1324	+	12.7149i	−1.28114	+	0.416267i
$934$	11.9620	+	8.69089i	0.391408	+	0.284374i
$935$	34.7029	−	4.91185i	1.13490	−	0.160635i
$936$	−35.5908	+	25.8582i	−1.16332	+	0.845202i
$937$	14.6468	−	20.1596i	0.478491	−	0.658587i	−0.499723	−	0.866185i	$-0.666565\pi$
$937$	14.6468	−	20.1596i	0.478491	−	0.658587i	0.978214	+	0.207599i	$0.0665648\pi$
$938$	−27.3226	+	37.6064i	−0.892115	+	1.22789i
$939$	−20.9668	+	15.2333i	−0.684226	+	0.497119i
$940$	−11.1783	+	1.58218i	−0.364597	+	0.0516051i
$941$	1.86148	+	1.35244i	0.0606824	+	0.0440884i	0.617713	−	0.786404i	$-0.288059\pi$
$941$	1.86148	+	1.35244i	0.0606824	+	0.0440884i	−0.557031	+	0.830492i	$0.688059\pi$
$942$	36.0063	−	11.6991i	1.17315	−	0.381179i
$943$			29.3134i			0.954576i
$944$	0.762830	+	2.34775i	0.0248280	+	0.0764127i
$945$	143.033	+	25.0762i	4.65288	+	0.815728i
$946$	3.06154	−	9.42246i	0.0995393	−	0.306351i
$947$	31.5499	+	10.2512i	1.02523	+	0.333119i	0.772904	−	0.634523i	$-0.218803\pi$
$947$	31.5499	+	10.2512i	1.02523	+	0.333119i	0.252330	+	0.967641i	$0.418803\pi$
$948$	−3.73984	−	5.14744i	−0.121464	−	0.167181i
$949$	44.4624			1.44331
$950$	−3.94608	−	3.07058i	−0.128028	−	0.0996228i
$951$	−55.6239			−1.80373
$952$	−12.6326	−	17.3873i	−0.409424	−	0.563524i
$953$	44.4599	+	14.4459i	1.44020	+	0.467949i	0.921959	−	0.387287i	$-0.126588\pi$
$953$	44.4599	+	14.4459i	1.44020	+	0.467949i	0.518239	+	0.855236i	$0.326588\pi$
$954$	−7.76142	+	23.8872i	−0.251285	+	0.773377i
$955$	−1.02228	−	7.22255i	−0.0330802	−	0.233716i
$956$	4.30627	+	13.2533i	0.139275	+	0.428644i
$957$			55.1997i			1.78435i
$958$	18.6061	−	6.04548i	0.601135	−	0.195320i
$959$	29.1665	+	21.1907i	0.941837	+	0.684284i
$960$	6.70565	+	3.55703i	0.216424	+	0.114803i
$961$	20.1962	−	14.6734i	0.651489	−	0.473334i
$962$	3.27907	−	4.51325i	0.105722	−	0.145513i
$963$	−92.0219	+	126.657i	−2.96536	+	4.08147i
$964$	13.6064	−	9.88560i	0.438231	−	0.318394i
$965$	−20.6414	+	19.9722i	−0.664469	+	0.642929i
$966$	61.9555	+	45.0133i	1.99339	+	1.44828i
$967$	−51.3759	+	16.6930i	−1.65214	+	0.536812i	−0.979202	−	0.202889i	$-0.934967\pi$
$967$	−51.3759	+	16.6930i	−1.65214	+	0.536812i	−0.672936	+	0.739701i	$0.734967\pi$
$968$			4.61970i			0.148483i
$969$	6.50945	+	20.0340i	0.209114	+	0.643585i
$970$	−3.59478	+	6.77682i	−0.115422	+	0.217590i
$971$	2.51459	−	7.73911i	0.0806970	−	0.248360i	−0.902566	−	0.430551i	$-0.858319\pi$
$971$	2.51459	−	7.73911i	0.0806970	−	0.248360i	0.983263	+	0.182192i	$0.0583191\pi$
$972$	69.4469	+	22.5647i	2.22751	+	0.723762i
$973$	−25.5568	−	35.1759i	−0.819313	−	1.12769i
$974$	7.33316			0.234970
$975$	49.1293	+	72.5302i	1.57340	+	2.32282i
$976$	−9.87310			−0.316030
$977$	10.6258	+	14.6252i	0.339950	+	0.467901i	0.944427	−	0.328722i	$-0.106618\pi$
$977$	10.6258	+	14.6252i	0.339950	+	0.467901i	−0.604477	+	0.796623i	$0.706618\pi$
$978$	−37.4698	−	12.1747i	−1.19815	−	0.389303i
$979$	5.20425	−	16.0170i	0.166329	−	0.511907i
$980$	−10.0347	+	4.90642i	−0.320546	+	0.156730i
$981$	23.1298	+	71.1861i	0.738477	+	2.27280i
$982$		−	2.84726i		−	0.0908596i
$983$	−47.2980	+	15.3680i	−1.50857	+	0.490164i	−0.942504	−	0.334195i	$-0.891536\pi$
$983$	−47.2980	+	15.3680i	−1.50857	+	0.490164i	−0.566067	+	0.824359i	$0.691536\pi$
$984$	−12.3594	−	8.97964i	−0.394004	−	0.286261i
$985$	−7.91026	−	16.1782i	−0.252042	−	0.515480i
$986$	32.3181	−	23.4805i	1.02922	−	0.747771i
$987$	34.8915	−	48.0240i	1.11061	−	1.52862i
$988$	−3.03371	+	4.17554i	−0.0965151	+	0.132842i
$989$	20.6688	−	15.0168i	0.657231	−	0.477506i
$990$	8.31343	−	47.4195i	0.264218	−	1.50709i
$991$	−23.1531	−	16.8217i	−0.735483	−	0.534360i	0.155810	−	0.987787i	$-0.450201\pi$
$991$	−23.1531	−	16.8217i	−0.735483	−	0.534360i	−0.891293	+	0.453427i	$0.850201\pi$
$992$	−2.33662	+	0.759213i	−0.0741876	+	0.0241050i
$993$		−	55.0677i		−	1.74752i
$994$	6.71698	+	20.6728i	0.213050	+	0.655700i
$995$	−30.7808	−	31.8120i	−0.975816	−	1.00851i
$996$	−3.99631	+	12.2994i	−0.126628	+	0.389720i
$997$	−44.8069	−	14.5587i	−1.41905	−	0.461077i	−0.503750	−	0.863850i	$-0.668047\pi$
$997$	−44.8069	−	14.5587i	−1.41905	−	0.461077i	−0.915300	+	0.402772i	$0.868047\pi$
$998$	−22.3508	−	30.7632i	−0.707502	−	0.973793i
$999$	−20.2674			−0.641231

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.n.b.39.1	✓	96
25.9	even	10	inner	950.2.n.b.609.1	yes	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.n.b.39.1	✓	96	1.1	even	1	trivial
950.2.n.b.609.1	yes	96	25.9	even	10	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.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.587785 - 0.809017i) q^{2} +(-3.22850 - 1.04900i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-1.55488 - 1.60697i) q^{5} +(1.04900 + 3.22850i) q^{6} -3.46343i q^{7} +(0.951057 - 0.309017i) q^{8} +(6.89577 + 5.01007i) q^{9} +O(q^{10})\)	\(q+(-0.587785 - 0.809017i) q^{2} +(-3.22850 - 1.04900i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-1.55488 - 1.60697i) q^{5} +(1.04900 + 3.22850i) q^{6} -3.46343i q^{7} +(0.951057 - 0.309017i) q^{8} +(6.89577 + 5.01007i) q^{9} +(-0.386131 + 2.20248i) q^{10} +(-2.04352 + 1.48470i) q^{11} +(1.99532 - 2.74633i) q^{12} +(-3.03371 + 4.17554i) q^{13} +(-2.80197 + 2.03575i) q^{14} +(3.33421 + 6.81918i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(5.90165 - 1.91756i) q^{17} -8.52364i q^{18} +(-0.309017 - 0.951057i) q^{19} +(2.00880 - 0.982196i) q^{20} +(-3.63315 + 11.1817i) q^{21} +(2.40230 + 0.780554i) q^{22} +(3.82860 + 5.26961i) q^{23} -3.39465 q^{24} +(-0.164705 + 4.99729i) q^{25} +5.16125 q^{26} +(-11.0214 - 15.1697i) q^{27} +(3.29392 + 1.07026i) q^{28} +(-1.98932 + 6.12249i) q^{29} +(3.55703 - 6.70565i) q^{30} +(0.759213 + 2.33662i) q^{31} +1.00000i q^{32} +(8.15495 - 2.64971i) q^{33} +(-5.02024 - 3.64742i) q^{34} +(-5.56563 + 5.38521i) q^{35} +(-6.89577 + 5.01007i) q^{36} +(0.635325 - 0.874450i) q^{37} +(-0.587785 + 0.809017i) q^{38} +(14.1745 - 10.2984i) q^{39} +(-1.97536 - 1.04784i) q^{40} +(3.64085 + 2.64523i) q^{41} +(11.1817 - 3.63315i) q^{42} -3.92227i q^{43} +(-0.780554 - 2.40230i) q^{44} +(-2.67105 - 18.8713i) q^{45} +(2.01281 - 6.19480i) q^{46} +(-4.80182 - 1.56021i) q^{47} +(1.99532 + 2.74633i) q^{48} -4.99535 q^{49} +(4.13970 - 2.80408i) q^{50} -21.0650 q^{51} +(-3.03371 - 4.17554i) q^{52} +(-2.80247 - 0.910576i) q^{53} +(-5.79432 + 17.8331i) q^{54} +(5.56329 + 0.975339i) q^{55} +(-1.07026 - 3.29392i) q^{56} +3.39465i q^{57} +(6.12249 - 1.98932i) q^{58} +(-1.99712 - 1.45099i) q^{59} +(-7.51575 + 1.06378i) q^{60} +(7.98750 - 5.80326i) q^{61} +(1.44411 - 1.98764i) q^{62} +(17.3520 - 23.8830i) q^{63} +(0.809017 - 0.587785i) q^{64} +(11.4270 - 1.61738i) q^{65} +(-6.93702 - 5.04004i) q^{66} +(12.7645 - 4.14743i) q^{67} +6.20536i q^{68} +(-6.83279 - 21.0292i) q^{69} +(7.62813 + 1.33734i) q^{70} +(1.93940 - 5.96887i) q^{71} +(8.10646 + 2.63395i) q^{72} +(-5.06357 - 6.96940i) q^{73} -1.08088 q^{74} +(5.77392 - 15.9610i) q^{75} +1.00000 q^{76} +(5.14216 + 7.07758i) q^{77} +(-16.6631 - 5.41417i) q^{78} +(0.579191 - 1.78257i) q^{79} +(0.313370 + 2.21400i) q^{80} +(11.7678 + 36.2176i) q^{81} -4.50034i q^{82} +(-3.62316 + 1.17724i) q^{83} +(-9.51172 - 6.91067i) q^{84} +(-12.2578 - 6.50219i) q^{85} +(-3.17318 + 2.30545i) q^{86} +(12.8450 - 17.6797i) q^{87} +(-1.48470 + 2.04352i) q^{88} +(-5.39403 + 3.91899i) q^{89} +(-13.6972 + 13.2532i) q^{90} +(14.4617 + 10.5070i) q^{91} +(-6.19480 + 2.01281i) q^{92} -8.34019i q^{93} +(1.56021 + 4.80182i) q^{94} +(-1.04784 + 1.97536i) q^{95} +(1.04900 - 3.22850i) q^{96} +(3.26277 + 1.06014i) q^{97} +(2.93620 + 4.04133i) q^{98} -21.5301 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9}+O(q^{10}) \) 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9	\( 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9} - 24 q^{11} + 10 q^{12} + 10 q^{14} - 8 q^{15} - 24 q^{16} + 30 q^{17} + 24 q^{19} + 2 q^{20} - 24 q^{24} - 60 q^{25} + 84 q^{26} - 30 q^{27} - 10 q^{28} - 4 q^{29} + 16 q^{30} - 14 q^{31} + 100 q^{33} + 8 q^{34} + 42 q^{35} - 34 q^{36} - 30 q^{37} + 32 q^{39} + 12 q^{41} + 10 q^{42} + 4 q^{44} - 18 q^{45} - 10 q^{46} + 10 q^{48} - 132 q^{49} - 36 q^{50} + 36 q^{51} + 30 q^{53} + 24 q^{54} - 4 q^{55} - 10 q^{56} + 60 q^{58} + 16 q^{59} + 8 q^{60} + 42 q^{61} - 110 q^{63} + 24 q^{64} + 12 q^{65} - 20 q^{66} + 130 q^{67} - 8 q^{69} + 20 q^{70} - 8 q^{71} - 120 q^{73} - 124 q^{74} - 24 q^{75} + 96 q^{76} - 50 q^{78} + 4 q^{79} - 2 q^{80} - 10 q^{81} - 70 q^{83} + 52 q^{85} - 44 q^{86} - 70 q^{87} + 10 q^{88} - 26 q^{89} + 32 q^{90} - 4 q^{91} - 10 q^{92} + 10 q^{94} + 2 q^{95} - 6 q^{96} - 10 q^{97} - 60 q^{98} - 184 q^{99}+O(q^{100}) \) 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9 - 24 * q^11 + 10 * q^12 + 10 * q^14 - 8 * q^15 - 24 * q^16 + 30 * q^17 + 24 * q^19 + 2 * q^20 - 24 * q^24 - 60 * q^25 + 84 * q^26 - 30 * q^27 - 10 * q^28 - 4 * q^29 + 16 * q^30 - 14 * q^31 + 100 * q^33 + 8 * q^34 + 42 * q^35 - 34 * q^36 - 30 * q^37 + 32 * q^39 + 12 * q^41 + 10 * q^42 + 4 * q^44 - 18 * q^45 - 10 * q^46 + 10 * q^48 - 132 * q^49 - 36 * q^50 + 36 * q^51 + 30 * q^53 + 24 * q^54 - 4 * q^55 - 10 * q^56 + 60 * q^58 + 16 * q^59 + 8 * q^60 + 42 * q^61 - 110 * q^63 + 24 * q^64 + 12 * q^65 - 20 * q^66 + 130 * q^67 - 8 * q^69 + 20 * q^70 - 8 * q^71 - 120 * q^73 - 124 * q^74 - 24 * q^75 + 96 * q^76 - 50 * q^78 + 4 * q^79 - 2 * q^80 - 10 * q^81 - 70 * q^83 + 52 * q^85 - 44 * q^86 - 70 * q^87 + 10 * q^88 - 26 * q^89 + 32 * q^90 - 4 * q^91 - 10 * q^92 + 10 * q^94 + 2 * q^95 - 6 * q^96 - 10 * q^97 - 60 * q^98 - 184 * q^99

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