LMFDB - Embedded newform 950.2.h.d.191.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("950.191");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.h (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.58578819202$
Analytic rank:	$0$
Dimension:	$44$
Relative dimension:	$11$ over $\Q(\zeta_{5})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			191.2
Character	$\chi$	$=$	950.191
Dual form			950.2.h.d.761.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.809017 + 0.587785i) q^{2} +(-0.806394 - 2.48183i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.11301 - 1.93938i) q^{5} +(0.806394 - 2.48183i) q^{6} -1.68962 q^{7} +(-0.309017 + 0.951057i) q^{8} +(-3.08213 + 2.23930i) q^{9} +O(q^{10})$	\(q+(0.809017 + 0.587785i) q^{2} +(-0.806394 - 2.48183i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.11301 - 1.93938i) q^{5} +(0.806394 - 2.48183i) q^{6} -1.68962 q^{7} +(-0.309017 + 0.951057i) q^{8} +(-3.08213 + 2.23930i) q^{9} +(2.04039 - 0.914782i) q^{10} +(-4.29805 - 3.12271i) q^{11} +(2.11117 - 1.53385i) q^{12} +(-2.41432 + 1.75411i) q^{13} +(-1.36693 - 0.993131i) q^{14} +(-5.71073 - 1.19839i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-0.256485 + 0.789380i) q^{17} -3.80973 q^{18} +(-0.309017 + 0.951057i) q^{19} +(2.18840 + 0.459234i) q^{20} +(1.36250 + 4.19333i) q^{21} +(-1.64171 - 5.05266i) q^{22} +(-0.415909 - 0.302175i) q^{23} +2.60955 q^{24} +(-2.52241 - 4.31711i) q^{25} -2.98427 q^{26} +(1.70947 + 1.24200i) q^{27} +(-0.522120 - 1.60692i) q^{28} +(1.87671 + 5.77593i) q^{29} +(-3.91568 - 4.32621i) q^{30} +(0.993049 - 3.05629i) q^{31} -1.00000 q^{32} +(-4.28411 + 13.1851i) q^{33} +(-0.671487 + 0.487864i) q^{34} +(-1.88056 + 3.27681i) q^{35} +(-3.08213 - 2.23930i) q^{36} +(5.19782 - 3.77644i) q^{37} +(-0.809017 + 0.587785i) q^{38} +(6.30029 + 4.57743i) q^{39} +(1.50052 + 1.65784i) q^{40} +(-1.06909 + 0.776743i) q^{41} +(-1.36250 + 4.19333i) q^{42} +1.20083 q^{43} +(1.64171 - 5.05266i) q^{44} +(0.912413 + 8.46981i) q^{45} +(-0.158863 - 0.488930i) q^{46} +(-2.26525 - 6.97173i) q^{47} +(2.11117 + 1.53385i) q^{48} -4.14520 q^{49} +(0.496860 - 4.97525i) q^{50} +2.16593 q^{51} +(-2.41432 - 1.75411i) q^{52} +(0.780613 + 2.40248i) q^{53} +(0.652959 + 2.00960i) q^{54} +(-10.8399 + 4.85994i) q^{55} +(0.522120 - 1.60692i) q^{56} +2.60955 q^{57} +(-1.87671 + 5.77593i) q^{58} +(-5.78441 + 4.20262i) q^{59} +(-0.624975 - 5.80156i) q^{60} +(-0.439522 - 0.319331i) q^{61} +(2.59984 - 1.88889i) q^{62} +(5.20762 - 3.78356i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(0.714719 + 6.63464i) q^{65} +(-11.2159 + 8.14886i) q^{66} +(4.07373 - 12.5377i) q^{67} -0.830003 q^{68} +(-0.414560 + 1.27588i) q^{69} +(-3.44747 + 1.54563i) q^{70} +(-0.320435 - 0.986196i) q^{71} +(-1.17727 - 3.62327i) q^{72} +(-12.2267 - 8.88321i) q^{73} +6.42486 q^{74} +(-8.68025 + 9.74148i) q^{75} -1.00000 q^{76} +(7.26205 + 5.27619i) q^{77} +(2.40650 + 7.40643i) q^{78} +(0.637199 + 1.96110i) q^{79} +(0.239496 + 2.22321i) q^{80} +(-1.82788 + 5.62565i) q^{81} -1.32147 q^{82} +(1.08342 - 3.33444i) q^{83} +(-3.56706 + 2.59162i) q^{84} +(1.24544 + 1.37601i) q^{85} +(0.971489 + 0.705828i) q^{86} +(12.8215 - 9.31535i) q^{87} +(4.29805 - 3.12271i) q^{88} +(3.79888 + 2.76004i) q^{89} +(-4.24027 + 7.38852i) q^{90} +(4.07928 - 2.96377i) q^{91} +(0.158863 - 0.488930i) q^{92} -8.38597 q^{93} +(2.26525 - 6.97173i) q^{94} +(1.50052 + 1.65784i) q^{95} +(0.806394 + 2.48183i) q^{96} +(-4.04907 - 12.4618i) q^{97} +(-3.35354 - 2.43649i) q^{98} +20.2399 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 44 q + 11 q^{2} - q^{3} - 11 q^{4} - 11 q^{5} + q^{6} - 10 q^{7} + 11 q^{8}+O(q^{10}) $ 44 * q + 11 * q^2 - q^3 - 11 * q^4 - 11 * q^5 + q^6 - 10 * q^7 + 11 * q^8	\( 44 q + 11 q^{2} - q^{3} - 11 q^{4} - 11 q^{5} + q^{6} - 10 q^{7} + 11 q^{8} - 4 q^{10} + 7 q^{11} + 4 q^{12} + 10 q^{13} - 5 q^{14} - 20 q^{15} - 11 q^{16} + 11 q^{17} - 50 q^{18} + 11 q^{19} + 4 q^{20} + 9 q^{21} + 8 q^{22} - 7 q^{23} + 6 q^{24} - 3 q^{25} + 10 q^{26} + 5 q^{27} - 20 q^{29} - 10 q^{30} - 11 q^{31} - 44 q^{32} - 2 q^{33} - q^{34} + 5 q^{35} + 43 q^{37} - 11 q^{38} - 33 q^{39} - 4 q^{40} - 32 q^{41} - 9 q^{42} - 74 q^{43} - 8 q^{44} + 10 q^{45} - 8 q^{46} - 19 q^{47} + 4 q^{48} + 54 q^{49} + 18 q^{50} + 34 q^{51} + 10 q^{52} + 23 q^{53} - 40 q^{54} + 2 q^{55} + 6 q^{57} + 20 q^{58} + 24 q^{59} - 35 q^{60} - 12 q^{61} + q^{62} - 44 q^{63} - 11 q^{64} + 43 q^{65} - 8 q^{66} + 35 q^{67} - 24 q^{68} + 29 q^{69} - 5 q^{70} - 2 q^{71} + 25 q^{72} + 22 q^{73} + 72 q^{74} + 7 q^{75} - 44 q^{76} - 3 q^{77} - 22 q^{78} - 19 q^{79} - q^{80} - 26 q^{81} - 58 q^{82} - 24 q^{83} - 21 q^{84} - 18 q^{85} - 6 q^{86} + 83 q^{87} - 7 q^{88} - 8 q^{89} + 60 q^{90} - 30 q^{91} + 8 q^{92} - 72 q^{93} + 19 q^{94} - 4 q^{95} + q^{96} - 16 q^{97} + q^{98} + 84 q^{99}+O(q^{100}) \) 44 * q + 11 * q^2 - q^3 - 11 * q^4 - 11 * q^5 + q^6 - 10 * q^7 + 11 * q^8 - 4 * q^10 + 7 * q^11 + 4 * q^12 + 10 * q^13 - 5 * q^14 - 20 * q^15 - 11 * q^16 + 11 * q^17 - 50 * q^18 + 11 * q^19 + 4 * q^20 + 9 * q^21 + 8 * q^22 - 7 * q^23 + 6 * q^24 - 3 * q^25 + 10 * q^26 + 5 * q^27 - 20 * q^29 - 10 * q^30 - 11 * q^31 - 44 * q^32 - 2 * q^33 - q^34 + 5 * q^35 + 43 * q^37 - 11 * q^38 - 33 * q^39 - 4 * q^40 - 32 * q^41 - 9 * q^42 - 74 * q^43 - 8 * q^44 + 10 * q^45 - 8 * q^46 - 19 * q^47 + 4 * q^48 + 54 * q^49 + 18 * q^50 + 34 * q^51 + 10 * q^52 + 23 * q^53 - 40 * q^54 + 2 * q^55 + 6 * q^57 + 20 * q^58 + 24 * q^59 - 35 * q^60 - 12 * q^61 + q^62 - 44 * q^63 - 11 * q^64 + 43 * q^65 - 8 * q^66 + 35 * q^67 - 24 * q^68 + 29 * q^69 - 5 * q^70 - 2 * q^71 + 25 * q^72 + 22 * q^73 + 72 * q^74 + 7 * q^75 - 44 * q^76 - 3 * q^77 - 22 * q^78 - 19 * q^79 - q^80 - 26 * q^81 - 58 * q^82 - 24 * q^83 - 21 * q^84 - 18 * q^85 - 6 * q^86 + 83 * q^87 - 7 * q^88 - 8 * q^89 + 60 * q^90 - 30 * q^91 + 8 * q^92 - 72 * q^93 + 19 * q^94 - 4 * q^95 + q^96 - 16 * q^97 + q^98 + 84 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$3$	−0.806394	−	2.48183i	−0.465572	−	1.43288i	−0.858262	−	0.513212i	$-0.828456\pi$
$3$	−0.806394	−	2.48183i	−0.465572	−	1.43288i	0.392690	−	0.919671i	$-0.371544\pi$
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	1.11301	−	1.93938i	0.497754	−	0.867318i
$5$	1.11301	−	1.93938i	0.497754	−	0.867318i
$6$	0.806394	−	2.48183i	0.329209	−	1.01320i
$7$	−1.68962			−0.638615			−0.319307	−	0.947651i	$-0.603450\pi$
$7$	−1.68962			−0.638615			−0.319307	+	0.947651i	$0.603450\pi$
$8$	−0.309017	+	0.951057i	−0.109254	+	0.336249i
$9$	−3.08213	+	2.23930i	−1.02738	+	0.746434i
$10$	2.04039	−	0.914782i	0.645227	−	0.289279i
$11$	−4.29805	−	3.12271i	−1.29591	−	0.941533i	−0.296003	−	0.955187i	$-0.595654\pi$
$11$	−4.29805	−	3.12271i	−1.29591	−	0.941533i	−0.999907	+	0.0136536i	$0.995654\pi$
$12$	2.11117	−	1.53385i	0.609441	−	0.442785i
$13$	−2.41432	+	1.75411i	−0.669613	+	0.486502i	−0.869896	−	0.493236i	$-0.835814\pi$
$13$	−2.41432	+	1.75411i	−0.669613	+	0.486502i	0.200283	+	0.979738i	$0.435814\pi$
$14$	−1.36693	−	0.993131i	−0.365327	−	0.265425i
$15$	−5.71073	−	1.19839i	−1.47451	−	0.309424i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	−0.256485	+	0.789380i	−0.0622068	+	0.191453i	−0.977330	−	0.211721i	$-0.932093\pi$
$17$	−0.256485	+	0.789380i	−0.0622068	+	0.191453i	0.915123	+	0.403174i	$0.132093\pi$
$18$	−3.80973			−0.897961
$19$	−0.309017	+	0.951057i	−0.0708934	+	0.218187i
$19$	−0.309017	+	0.951057i	−0.0708934	+	0.218187i
$20$	2.18840	+	0.459234i	0.489342	+	0.102688i
$21$	1.36250	+	4.19333i	0.297321	+	0.915060i
$22$	−1.64171	−	5.05266i	−0.350013	−	1.07723i
$23$	−0.415909	−	0.302175i	−0.0867229	−	0.0630079i	0.543579	−	0.839358i	$-0.317069\pi$
$23$	−0.415909	−	0.302175i	−0.0867229	−	0.0630079i	−0.630302	+	0.776350i	$0.717069\pi$
$24$	2.60955			0.532671
$25$	−2.52241	−	4.31711i	−0.504482	−	0.863422i
$26$	−2.98427			−0.585263
$27$	1.70947	+	1.24200i	0.328987	+	0.239023i
$28$	−0.522120	−	1.60692i	−0.0986714	−	0.303679i
$29$	1.87671	+	5.77593i	0.348497	+	1.07256i	0.959685	+	0.281078i	$0.0906919\pi$
$29$	1.87671	+	5.77593i	0.348497	+	1.07256i	−0.611188	+	0.791485i	$0.709308\pi$
$30$	−3.91568	−	4.32621i	−0.714903	−	0.789854i
$31$	0.993049	−	3.05629i	0.178357	−	0.548926i	−0.821414	−	0.570332i	$-0.806814\pi$
$31$	0.993049	−	3.05629i	0.178357	−	0.548926i	0.999771	+	0.0214065i	$0.00681442\pi$
$32$	−1.00000			−0.176777
$33$	−4.28411	+	13.1851i	−0.745768	+	2.29524i
$34$	−0.671487	+	0.487864i	−0.115159	+	0.0836680i
$35$	−1.88056	+	3.27681i	−0.317873	+	0.553882i
$36$	−3.08213	−	2.23930i	−0.513689	−	0.373217i
$37$	5.19782	−	3.77644i	0.854517	−	0.620843i	−0.0718706	−	0.997414i	$-0.522897\pi$
$37$	5.19782	−	3.77644i	0.854517	−	0.620843i	0.926388	+	0.376571i	$0.122897\pi$
$38$	−0.809017	+	0.587785i	−0.131240	+	0.0953514i
$39$	6.30029	+	4.57743i	1.00885	+	0.732975i
$40$	1.50052	+	1.65784i	0.237254	+	0.262127i
$41$	−1.06909	+	0.776743i	−0.166965	+	0.121307i	−0.668130	−	0.744045i	$-0.732905\pi$
$41$	−1.06909	+	0.776743i	−0.166965	+	0.121307i	0.501165	+	0.865352i	$0.332905\pi$
$42$	−1.36250	+	4.19333i	−0.210238	+	0.647045i
$43$	1.20083			0.183124			0.0915621	−	0.995799i	$-0.470814\pi$
$43$	1.20083			0.183124			0.0915621	+	0.995799i	$0.470814\pi$
$44$	1.64171	−	5.05266i	0.247497	−	0.761717i
$45$	0.912413	+	8.46981i	0.136014	+	1.26260i
$46$	−0.158863	−	0.488930i	−0.0234231	−	0.0720888i
$47$	−2.26525	−	6.97173i	−0.330421	−	1.01693i	−0.968934	−	0.247320i	$-0.920450\pi$
$47$	−2.26525	−	6.97173i	−0.330421	−	1.01693i	0.638513	−	0.769611i	$-0.279550\pi$
$48$	2.11117	+	1.53385i	0.304721	+	0.221393i
$49$	−4.14520			−0.592171
$50$	0.496860	−	4.97525i	0.0702666	−	0.703607i
$51$	2.16593			0.303291
$52$	−2.41432	−	1.75411i	−0.334806	−	0.243251i
$53$	0.780613	+	2.40248i	0.107226	+	0.330006i	0.990246	−	0.139328i	$-0.0444941\pi$
$53$	0.780613	+	2.40248i	0.107226	+	0.330006i	−0.883021	+	0.469334i	$0.844494\pi$
$54$	0.652959	+	2.00960i	0.0888565	+	0.273472i
$55$	−10.8399	+	4.85994i	−1.46165	+	0.655314i
$56$	0.522120	−	1.60692i	0.0697712	−	0.214734i
$57$	2.60955			0.345643
$58$	−1.87671	+	5.77593i	−0.246424	+	0.758417i
$59$	−5.78441	+	4.20262i	−0.753066	+	0.547134i	−0.896776	−	0.442486i	$-0.854097\pi$
$59$	−5.78441	+	4.20262i	−0.753066	+	0.547134i	0.143710	+	0.989620i	$0.454097\pi$
$60$	−0.624975	−	5.80156i	−0.0806839	−	0.748978i
$61$	−0.439522	−	0.319331i	−0.0562750	−	0.0408862i	0.559292	−	0.828971i	$-0.311073\pi$
$61$	−0.439522	−	0.319331i	−0.0562750	−	0.0408862i	−0.615567	+	0.788084i	$0.711073\pi$
$62$	2.59984	−	1.88889i	0.330179	−	0.239889i
$63$	5.20762	−	3.78356i	0.656099	−	0.476684i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	0.714719	+	6.63464i	0.0886500	+	0.822926i
$66$	−11.2159	+	8.14886i	−1.38059	+	1.00306i
$67$	4.07373	−	12.5377i	0.497685	−	1.53172i	−0.315044	−	0.949077i	$-0.602019\pi$
$67$	4.07373	−	12.5377i	0.497685	−	1.53172i	0.812729	−	0.582641i	$-0.197981\pi$
$68$	−0.830003			−0.100653
$69$	−0.414560	+	1.27588i	−0.0499072	+	0.153598i
$70$	−3.44747	+	1.54563i	−0.412051	+	0.184738i
$71$	−0.320435	−	0.986196i	−0.0380286	−	0.117040i	0.930240	−	0.366951i	$-0.119598\pi$
$71$	−0.320435	−	0.986196i	−0.0380286	−	0.117040i	−0.968269	+	0.249911i	$0.919598\pi$
$72$	−1.17727	−	3.62327i	−0.138743	−	0.427006i
$73$	−12.2267	−	8.88321i	−1.43103	−	1.03970i	−0.989825	−	0.142293i	$-0.954552\pi$
$73$	−12.2267	−	8.88321i	−1.43103	−	1.03970i	−0.441201	−	0.897408i	$-0.645448\pi$
$74$	6.42486			0.746875
$75$	−8.68025	+	9.74148i	−1.00231	+	1.12485i
$76$	−1.00000			−0.114708
$77$	7.26205	+	5.27619i	0.827587	+	0.601277i
$78$	2.40650	+	7.40643i	0.272482	+	0.838613i
$79$	0.637199	+	1.96110i	0.0716905	+	0.220641i	0.980482	−	0.196611i	$-0.0629935\pi$
$79$	0.637199	+	1.96110i	0.0716905	+	0.220641i	−0.908791	+	0.417251i	$0.862993\pi$
$80$	0.239496	+	2.22321i	0.0267764	+	0.248562i
$81$	−1.82788	+	5.62565i	−0.203098	+	0.625072i
$82$	−1.32147			−0.145932
$83$	1.08342	−	3.33444i	0.118921	−	0.366002i	−0.873823	−	0.486243i	$-0.838367\pi$
$83$	1.08342	−	3.33444i	0.118921	−	0.366002i	0.992745	+	0.120241i	$0.0383669\pi$
$84$	−3.56706	+	2.59162i	−0.389198	+	0.282769i
$85$	1.24544	+	1.37601i	0.135087	+	0.149249i
$86$	0.971489	+	0.705828i	0.104758	+	0.0761114i
$87$	12.8215	−	9.31535i	1.37461	−	0.998710i
$88$	4.29805	−	3.12271i	0.458173	−	0.332882i
$89$	3.79888	+	2.76004i	0.402680	+	0.292564i	0.770632	−	0.637281i	$-0.219941\pi$
$89$	3.79888	+	2.76004i	0.402680	+	0.292564i	−0.367952	+	0.929845i	$0.619941\pi$
$90$	−4.24027	+	7.38852i	−0.446964	+	0.778818i
$91$	4.07928	−	2.96377i	0.427625	−	0.310688i
$92$	0.158863	−	0.488930i	0.0165626	−	0.0509745i
$93$	−8.38597			−0.869584
$94$	2.26525	−	6.97173i	0.233643	−	0.719079i
$95$	1.50052	+	1.65784i	0.153950	+	0.170091i
$96$	0.806394	+	2.48183i	0.0823022	+	0.253300i
$97$	−4.04907	−	12.4618i	−0.411121	−	1.26530i	−0.915675	−	0.401919i	$-0.868343\pi$
$97$	−4.04907	−	12.4618i	−0.411121	−	1.26530i	0.504554	−	0.863380i	$-0.331657\pi$
$98$	−3.35354	−	2.43649i	−0.338758	−	0.246122i
$99$	20.2399			2.03418
$100$	3.32635	−	3.73302i	0.332635	−	0.373302i
$101$	−2.24368			−0.223255			−0.111627	−	0.993750i	$-0.535606\pi$
$101$	−2.24368			−0.223255			−0.111627	+	0.993750i	$0.535606\pi$
$102$	1.75228	+	1.27310i	0.173501	+	0.126056i
$103$	−4.73061	−	14.5593i	−0.466121	−	1.43457i	−0.857567	−	0.514371i	$-0.828025\pi$
$103$	−4.73061	−	14.5593i	−0.466121	−	1.43457i	0.391447	−	0.920201i	$-0.371975\pi$
$104$	−0.922190	−	2.83821i	−0.0904281	−	0.278309i
$105$	9.64895	+	2.02482i	0.941641	+	0.197603i
$106$	−0.780613	+	2.40248i	−0.0758199	+	0.233350i
$107$	−13.8053			−1.33461			−0.667306	−	0.744784i	$-0.732553\pi$
$107$	−13.8053			−1.33461			−0.667306	+	0.744784i	$0.732553\pi$
$108$	−0.652959	+	2.00960i	−0.0628310	+	0.193374i
$109$	6.42971	−	4.67146i	0.615854	−	0.447444i	−0.235617	−	0.971846i	$-0.575711\pi$
$109$	6.42971	−	4.67146i	0.615854	−	0.447444i	0.851471	+	0.524402i	$0.175711\pi$
$110$	−11.6263	−	2.43976i	−1.10852	−	0.232622i
$111$	−13.5640	−	9.85479i	−1.28743	−	0.935376i
$112$	1.36693	−	0.993131i	0.129163	−	0.0938421i
$113$	11.6396	−	8.45667i	1.09496	−	0.795537i	0.114732	−	0.993396i	$-0.463399\pi$
$113$	11.6396	−	8.45667i	1.09496	−	0.795537i	0.980230	+	0.197860i	$0.0633991\pi$
$114$	2.11117	+	1.53385i	0.197729	+	0.143658i
$115$	−1.04894	+	0.470281i	−0.0978146	+	0.0438540i
$116$	−4.91330	+	3.56972i	−0.456188	+	0.331440i
$117$	3.51329	−	10.8128i	0.324804	−	0.999643i
$118$	−7.14992			−0.658203
$119$	0.433361	−	1.33375i	0.0397262	−	0.122265i
$120$	2.90445	−	5.06091i	0.265139	−	0.461996i
$121$	5.32267	+	16.3815i	0.483880	+	1.48923i
$122$	−0.167882	−	0.516689i	−0.0151994	−	0.0467788i
$123$	2.78985	+	2.02695i	0.251552	+	0.182764i
$124$	3.21357			0.288587
$125$	−11.1800	+	0.0869300i	−0.999970	+	0.00777526i
$126$	6.43698			0.573451
$127$	3.44017	+	2.49943i	0.305265	+	0.221788i	0.729862	−	0.683594i	$-0.239584\pi$
$127$	3.44017	+	2.49943i	0.305265	+	0.221788i	−0.424597	+	0.905383i	$0.639584\pi$
$128$	−0.309017	−	0.951057i	−0.0273135	−	0.0840623i
$129$	−0.968339	−	2.98024i	−0.0852575	−	0.262396i
$130$	−3.32152	+	5.78764i	−0.291317	+	0.507609i
$131$	−1.57735	+	4.85457i	−0.137813	+	0.424146i	−0.996017	−	0.0891635i	$-0.971581\pi$
$131$	−1.57735	+	4.85457i	−0.137813	+	0.424146i	0.858204	+	0.513309i	$0.171581\pi$
$132$	−13.8637			−1.20668
$133$	0.522120	−	1.60692i	0.0452735	−	0.139338i
$134$	10.6652	−	7.74870i	0.921330	−	0.669386i
$135$	4.31138	−	1.93295i	0.371064	−	0.166362i
$136$	−0.671487	−	0.487864i	−0.0575795	−	0.0418340i
$137$	15.7611	−	11.4511i	1.34657	−	0.978337i	0.347391	−	0.937720i	$-0.387068\pi$
$137$	15.7611	−	11.4511i	1.34657	−	0.978337i	0.999175	−	0.0406168i	$-0.0129323\pi$
$138$	−1.08533	+	0.788540i	−0.0923896	+	0.0671250i
$139$	12.8873	+	9.36318i	1.09309	+	0.794175i	0.979918	−	0.199401i	$-0.0638996\pi$
$139$	12.8873	+	9.36318i	1.09309	+	0.794175i	0.113170	+	0.993576i	$0.463900\pi$
$140$	−3.69756	−	0.775930i	−0.312501	−	0.0655780i
$141$	−15.4759	+	11.2439i	−1.30331	+	0.946909i
$142$	0.320435	−	0.986196i	0.0268903	−	0.0827598i
$143$	15.8545			1.32582
$144$	1.17727	−	3.62327i	0.0981059	−	0.301939i
$145$	13.2905	+	2.78901i	1.10372	+	0.231615i
$146$	−4.67018	−	14.3733i	−0.386507	−	1.18955i
$147$	3.34266	+	10.2877i	0.275698	+	0.848512i
$148$	5.19782	+	3.77644i	0.427259	+	0.310422i
$149$	0.616291			0.0504886			0.0252443	−	0.999681i	$-0.491964\pi$
$149$	0.616291			0.0504886			0.0252443	+	0.999681i	$0.491964\pi$
$150$	−12.7484	+	2.77889i	−1.04090	+	0.226896i
$151$	2.76483			0.224999			0.112499	−	0.993652i	$-0.464114\pi$
$151$	2.76483			0.224999			0.112499	+	0.993652i	$0.464114\pi$
$152$	−0.809017	−	0.587785i	−0.0656199	−	0.0476757i
$153$	−0.977139	−	3.00732i	−0.0789970	−	0.243128i
$154$	2.77385	+	8.53705i	0.223524	+	0.687935i
$155$	−4.82204	−	5.32759i	−0.387316	−	0.427922i
$156$	−2.40650	+	7.40643i	−0.192674	+	0.592989i
$157$	10.7611			0.858831			0.429416	−	0.903107i	$-0.358720\pi$
$157$	10.7611			0.858831			0.429416	+	0.903107i	$0.358720\pi$
$158$	−0.637199	+	1.96110i	−0.0506929	+	0.156017i
$159$	5.33306	−	3.87469i	0.422939	−	0.307283i
$160$	−1.11301	+	1.93938i	−0.0879913	+	0.153322i
$161$	0.702726	+	0.510560i	0.0553825	+	0.0402378i
$162$	−4.78546	+	3.47684i	−0.375982	+	0.273167i
$163$	10.8542	−	7.88602i	0.850164	−	0.617681i	−0.0750270	−	0.997182i	$-0.523904\pi$
$163$	10.8542	−	7.88602i	0.850164	−	0.617681i	0.925191	+	0.379501i	$0.123904\pi$
$164$	−1.06909	−	0.776743i	−0.0834823	−	0.0606534i
$165$	20.8028	+	22.9837i	1.61949	+	1.78928i
$166$	2.83644	−	2.06079i	0.220150	−	0.159949i
$167$	−1.61365	+	4.96632i	−0.124868	+	0.384305i	−0.993877	−	0.110492i	$-0.964757\pi$
$167$	−1.61365	+	4.96632i	−0.124868	+	0.384305i	0.869009	+	0.494797i	$0.164757\pi$
$168$	−4.40913			−0.340172
$169$	−1.26516	+	3.89376i	−0.0973200	+	0.299520i
$170$	0.198782	+	1.84527i	0.0152459	+	0.141526i
$171$	−1.17727	−	3.62327i	−0.0900281	−	0.277078i
$172$	0.371076	+	1.14205i	0.0282943	+	0.0870808i
$173$	−5.67189	−	4.12087i	−0.431226	−	0.313304i	0.350913	−	0.936408i	$-0.385871\pi$
$173$	−5.67189	−	4.12087i	−0.431226	−	0.313304i	−0.782139	+	0.623104i	$0.785871\pi$
$174$	15.8482			1.20145
$175$	4.26191	+	7.29426i	0.322170	+	0.551394i
$176$	5.31268			0.400458
$177$	15.0947	+	10.9669i	1.13458	+	0.824324i
$178$	1.45104	+	4.46585i	0.108760	+	0.334729i
$179$	−1.38331	−	4.25740i	−0.103394	−	0.318213i	0.885956	−	0.463769i	$-0.153503\pi$
$179$	−1.38331	−	4.25740i	−0.103394	−	0.318213i	−0.989350	+	0.145555i	$0.953503\pi$
$180$	−7.77331	+	3.48507i	−0.579389	+	0.259762i
$181$	−0.341954	+	1.05242i	−0.0254172	+	0.0782261i	−0.962960	−	0.269643i	$-0.913094\pi$
$181$	−0.341954	+	1.05242i	−0.0254172	+	0.0782261i	0.937543	+	0.347869i	$0.113094\pi$
$182$	5.04227			0.373758
$183$	−0.438097	+	1.34832i	−0.0323850	+	0.0996709i
$184$	0.415909	−	0.302175i	0.0306612	−	0.0222767i
$185$	−1.53873	−	14.2838i	−0.113129	−	1.05017i
$186$	−6.78439	−	4.92915i	−0.497456	−	0.361423i
$187$	3.56739	−	2.59186i	0.260874	−	0.189536i
$188$	5.93051	−	4.30876i	0.432527	−	0.314249i
$189$	−2.88835	−	2.09851i	−0.210096	−	0.152644i
$190$	0.239496	+	2.22321i	0.0173748	+	0.161288i
$191$	21.9028	−	15.9133i	1.58483	−	1.15145i	0.673949	−	0.738777i	$-0.264597\pi$
$191$	21.9028	−	15.9133i	1.58483	−	1.15145i	0.910881	−	0.412669i	$-0.135403\pi$
$192$	−0.806394	+	2.48183i	−0.0581965	+	0.179110i
$193$	−4.09898			−0.295051			−0.147526	−	0.989058i	$-0.547131\pi$
$193$	−4.09898			−0.295051			−0.147526	+	0.989058i	$0.547131\pi$
$194$	4.04907	−	12.4618i	0.290706	−	0.894702i
$195$	15.8897	−	7.12394i	1.13788	−	0.510156i
$196$	−1.28094	−	3.94232i	−0.0914955	−	0.281594i
$197$	7.25024	+	22.3139i	0.516558	+	1.58980i	0.780429	+	0.625244i	$0.215001\pi$
$197$	7.25024	+	22.3139i	0.516558	+	1.58980i	−0.263871	+	0.964558i	$0.584999\pi$
$198$	16.3744	+	11.8967i	1.16368	+	0.845461i
$199$	3.19990			0.226835			0.113417	−	0.993547i	$-0.463820\pi$
$199$	3.19990			0.226835			0.113417	+	0.993547i	$0.463820\pi$
$200$	4.88528	−	1.06490i	0.345442	−	0.0752995i
$201$	−34.4013			−2.42648
$202$	−1.81518	−	1.31880i	−0.127715	−	0.0927907i
$203$	−3.17092	−	9.75910i	−0.222555	−	0.684955i
$204$	0.669310	+	2.05992i	0.0468611	+	0.144223i
$205$	0.316487	+	2.93791i	0.0221044	+	0.205192i
$206$	4.73061	−	14.5593i	0.329597	−	1.01440i
$207$	1.95855			0.136128
$208$	0.922190	−	2.83821i	0.0639423	−	0.196794i
$209$	4.29805	−	3.12271i	0.297302	−	0.216003i
$210$	6.61600	+	7.30963i	0.456547	+	0.504412i
$211$	5.03041	+	3.65481i	0.346308	+	0.251607i	0.747318	−	0.664466i	$-0.231341\pi$
$211$	5.03041	+	3.65481i	0.346308	+	0.251607i	−0.401011	+	0.916073i	$0.631341\pi$
$212$	−2.04367	+	1.48482i	−0.140360	+	0.101978i
$213$	−2.18917	+	1.59053i	−0.149999	+	0.108981i
$214$	−11.1688	−	8.11457i	−0.763480	−	0.554701i
$215$	1.33653	−	2.32886i	0.0911508	−	0.158827i
$216$	−1.70947	+	1.24200i	−0.116315	+	0.0845075i
$217$	−1.67787	+	5.16396i	−0.113901	+	0.350552i
$218$	7.94756			0.538277
$219$	−12.1870	+	37.5079i	−0.823524	+	2.53455i
$220$	−7.97180	−	8.80756i	−0.537458	−	0.593806i
$221$	−0.765421	−	2.35572i	−0.0514878	−	0.158463i
$222$	−5.18097	−	15.9454i	−0.347724	−	1.07018i
$223$	−21.7815	−	15.8252i	−1.45860	−	1.05973i	−0.983725	−	0.179678i	$-0.942494\pi$
$223$	−21.7815	−	15.8252i	−1.45860	−	1.05973i	−0.474872	−	0.880055i	$-0.657506\pi$
$224$	1.68962			0.112892
$225$	17.4417	+	7.65747i	1.16278	+	0.510498i
$226$	14.3873			0.957032
$227$	3.43561	+	2.49611i	0.228029	+	0.165673i	0.695934	−	0.718106i	$-0.254991\pi$
$227$	3.43561	+	2.49611i	0.228029	+	0.165673i	−0.467904	+	0.883779i	$0.654991\pi$
$228$	0.806394	+	2.48183i	0.0534047	+	0.164363i
$229$	2.46270	+	7.57942i	0.162740	+	0.500862i	0.998863	−	0.0476803i	$-0.0151829\pi$
$229$	2.46270	+	7.57942i	0.162740	+	0.500862i	−0.836123	+	0.548543i	$0.815183\pi$
$230$	−1.12504	−	0.236088i	−0.0741828	−	0.0155672i
$231$	7.23850	−	22.2778i	0.476258	−	1.46577i
$232$	−6.07317			−0.398723
$233$	−8.06688	+	24.8273i	−0.528479	+	1.62649i	0.228854	+	0.973461i	$0.426502\pi$
$233$	−8.06688	+	24.8273i	−0.528479	+	1.62649i	−0.757333	+	0.653029i	$0.773498\pi$
$234$	9.19791	−	6.68268i	0.601287	−	0.436860i
$235$	−16.0421	−	3.36642i	−1.04647	−	0.219601i
$236$	−5.78441	−	4.20262i	−0.376533	−	0.273567i
$237$	4.35327	−	3.16283i	0.282775	−	0.205448i
$238$	1.13455	−	0.824302i	0.0735423	−	0.0534316i
$239$	−23.6917	−	17.2130i	−1.53249	−	1.11342i	−0.954836	−	0.297135i	$-0.903969\pi$
$239$	−23.6917	−	17.2130i	−1.53249	−	1.11342i	−0.577652	−	0.816283i	$-0.696031\pi$
$240$	5.32448	−	2.38717i	0.343694	−	0.154091i
$241$	18.7442	−	13.6185i	1.20742	−	0.877242i	0.212426	−	0.977177i	$-0.431864\pi$
$241$	18.7442	−	13.6185i	1.20742	−	0.877242i	0.994994	+	0.0999355i	$0.0318637\pi$
$242$	−5.32267	+	16.3815i	−0.342154	+	1.05304i
$243$	21.7749			1.39686
$244$	0.167882	−	0.516689i	0.0107476	−	0.0330776i
$245$	−4.61365	+	8.03913i	−0.294755	+	0.513601i
$246$	1.06563	+	3.27967i	0.0679420	+	0.209104i
$247$	−0.922190	−	2.83821i	−0.0586775	−	0.180591i
$248$	2.59984	+	1.88889i	0.165090	+	0.119945i
$249$	−9.14915			−0.579804
$250$	−9.09591	−	6.50111i	−0.575276	−	0.411166i
$251$	−25.8476			−1.63148			−0.815742	−	0.578416i	$-0.803671\pi$
$251$	−25.8476			−1.63148			−0.815742	+	0.578416i	$0.803671\pi$
$252$	5.20762	+	3.78356i	0.328049	+	0.238342i
$253$	0.843987	+	2.59753i	0.0530610	+	0.163305i
$254$	1.31403	+	4.04416i	0.0824494	+	0.253753i
$255$	2.41071	−	4.20057i	0.150964	−	0.263050i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	−29.1946			−1.82111			−0.910555	−	0.413387i	$-0.864346\pi$
$257$	−29.1946			−1.82111			−0.910555	+	0.413387i	$0.864346\pi$
$258$	0.968339	−	2.98024i	0.0602861	−	0.185542i
$259$	−8.78233	+	6.38073i	−0.545707	+	0.396480i
$260$	−6.08906	+	2.72996i	−0.377627	+	0.169305i
$261$	−18.7183	−	13.5997i	−1.15864	−	0.841798i
$262$	−4.12954	+	3.00029i	−0.255124	+	0.185358i
$263$	12.1093	−	8.79795i	0.746694	−	0.542505i	−0.148107	−	0.988971i	$-0.547318\pi$
$263$	12.1093	−	8.79795i	0.746694	−	0.542505i	0.894800	+	0.446467i	$0.147318\pi$
$264$	−11.2159	−	8.14886i	−0.690294	−	0.501528i
$265$	5.52816	+	1.16008i	0.339592	+	0.0712632i
$266$	1.36693	−	0.993131i	0.0838117	−	0.0608928i
$267$	3.78656	−	11.6538i	0.231734	−	0.713203i
$268$	13.1829			0.805272
$269$	0.513987	−	1.58189i	0.0313384	−	0.0964495i	−0.934164	−	0.356844i	$-0.883853\pi$
$269$	0.513987	−	1.58189i	0.0313384	−	0.0964495i	0.965502	+	0.260395i	$0.0838527\pi$
$270$	4.62414	+	0.970371i	0.281416	+	0.0590549i
$271$	−3.49508	−	10.7567i	−0.212311	−	0.653426i	−0.999334	−	0.0365017i	$-0.988379\pi$
$271$	−3.49508	−	10.7567i	−0.212311	−	0.653426i	0.787023	−	0.616924i	$-0.211621\pi$
$272$	−0.256485	−	0.789380i	−0.0155517	−	0.0478632i
$273$	−10.6451	−	7.73409i	−0.644269	−	0.468089i
$274$	19.4818			1.17694
$275$	−2.63965	+	26.4319i	−0.159177	+	1.59390i
$276$	−1.34154			−0.0807515
$277$	−6.36806	−	4.62667i	−0.382620	−	0.277990i	0.379805	−	0.925067i	$-0.375991\pi$
$277$	−6.36806	−	4.62667i	−0.382620	−	0.277990i	−0.762425	+	0.647077i	$0.775991\pi$
$278$	4.92252	+	15.1499i	0.295233	+	0.908634i
$279$	3.78325	+	11.6436i	0.226497	+	0.697086i
$280$	−2.53531	−	2.80111i	−0.151514	−	0.167398i
$281$	7.29848	−	22.4624i	0.435391	−	1.34000i	−0.457295	−	0.889315i	$-0.651182\pi$
$281$	7.29848	−	22.4624i	0.435391	−	1.34000i	0.892686	−	0.450680i	$-0.148818\pi$
$282$	−19.1293			−1.13913
$283$	−0.724204	+	2.22887i	−0.0430495	+	0.132493i	−0.970271	−	0.242020i	$-0.922190\pi$
$283$	−0.724204	+	2.22887i	−0.0430495	+	0.132493i	0.927222	+	0.374513i	$0.122190\pi$
$284$	0.838909	−	0.609503i	0.0497801	−	0.0361673i
$285$	2.90445	−	5.06091i	0.172045	−	0.299782i
$286$	12.8265	+	9.31901i	0.758448	+	0.551045i
$287$	1.80636	−	1.31240i	0.106626	−	0.0774683i
$288$	3.08213	−	2.23930i	0.181616	−	0.131952i
$289$	13.1960	+	9.58742i	0.776232	+	0.563966i
$290$	9.11293	+	10.0683i	0.535130	+	0.591233i
$291$	−27.6627	+	20.0982i	−1.62162	+	1.17818i
$292$	4.67018	−	14.3733i	0.273302	−	0.841136i
$293$	32.2593			1.88461			0.942304	−	0.334759i	$-0.108655\pi$
$293$	32.2593			1.88461			0.942304	+	0.334759i	$0.108655\pi$
$294$	−3.34266	+	10.2877i	−0.194948	+	0.599988i
$295$	1.71237	+	15.8957i	0.0996983	+	0.925486i
$296$	1.98539	+	6.11041i	0.115399	+	0.355160i
$297$	−3.46896	−	10.6764i	−0.201290	−	0.619505i
$298$	0.498590	+	0.362247i	0.0288826	+	0.0209844i
$299$	1.53419			0.0887243
$300$	−11.9470	−	5.24513i	−0.689763	−	0.302828i
$301$	−2.02893			−0.116946
$302$	2.23680	+	1.62513i	0.128713	+	0.0935156i
$303$	1.80929	+	5.56843i	0.103941	+	0.319898i
$304$	−0.309017	−	0.951057i	−0.0177233	−	0.0545468i
$305$	−1.10850	+	0.496982i	−0.0634724	+	0.0284571i
$306$	0.977139	−	3.00732i	0.0558593	−	0.171917i
$307$	−7.40357			−0.422544			−0.211272	−	0.977427i	$-0.567761\pi$
$307$	−7.40357			−0.422544			−0.211272	+	0.977427i	$0.567761\pi$
$308$	−2.77385	+	8.53705i	−0.158055	+	0.486443i
$309$	−32.3189	+	23.4811i	−1.83856	+	1.33579i
$310$	−0.769637	−	7.14443i	−0.0437124	−	0.405777i
$311$	9.83922	+	7.14861i	0.557931	+	0.405361i	0.830701	−	0.556719i	$-0.187940\pi$
$311$	9.83922	+	7.14861i	0.557931	+	0.405361i	−0.272770	+	0.962079i	$0.587940\pi$
$312$	−6.30029	+	4.57743i	−0.356684	+	0.259146i
$313$	1.20999	−	0.879107i	0.0683925	−	0.0496901i	−0.553064	−	0.833139i	$-0.686541\pi$
$313$	1.20999	−	0.879107i	0.0683925	−	0.0496901i	0.621456	+	0.783449i	$0.286541\pi$
$314$	8.70593	+	6.32523i	0.491304	+	0.356953i
$315$	−1.54163	−	14.3107i	−0.0868609	−	0.806318i
$316$	−1.66821	+	1.21202i	−0.0938441	+	0.0681817i
$317$	−8.31936	+	25.6044i	−0.467262	+	1.43808i	0.388854	+	0.921299i	$0.372871\pi$
$317$	−8.31936	+	25.6044i	−0.467262	+	1.43808i	−0.856116	+	0.516784i	$0.827129\pi$
$318$	6.59202			0.369662
$319$	9.97037	−	30.6856i	0.558234	−	1.71807i
$320$	−2.04039	+	0.914782i	−0.114061	+	0.0511379i
$321$	11.1325	+	34.2624i	0.621358	+	1.91234i
$322$	0.268417	+	0.826104i	0.0149583	+	0.0460370i
$323$	−0.671487	−	0.487864i	−0.0373625	−	0.0271455i
$324$	−5.91516			−0.328620
$325$	13.6626	+	5.99832i	0.757865	+	0.332727i
$326$	13.4165			0.743071
$327$	−16.7786	−	12.1904i	−0.927860	−	0.674130i
$328$	−0.408358	−	1.25680i	−0.0225478	−	0.0693950i
$329$	3.82741	+	11.7795i	0.211012	+	0.649427i
$330$	3.32029	+	30.8218i	0.182776	+	1.69668i
$331$	−5.55888	+	17.1085i	−0.305543	+	0.940366i	0.673930	+	0.738795i	$0.264605\pi$
$331$	−5.55888	+	17.1085i	−0.305543	+	0.940366i	−0.979474	+	0.201571i	$0.935395\pi$
$332$	3.50603			0.192419
$333$	−7.56380	+	23.2790i	−0.414494	+	1.27568i
$334$	−4.22460	+	3.06935i	−0.231160	+	0.167948i
$335$	−19.7812	−	21.8551i	−1.08076	−	1.19407i
$336$	−3.56706	−	2.59162i	−0.194599	−	0.141385i
$337$	1.56427	−	1.13651i	0.0852115	−	0.0619098i	−0.544364	−	0.838849i	$-0.683229\pi$
$337$	1.56427	−	1.13651i	0.0852115	−	0.0619098i	0.629575	+	0.776939i	$0.283229\pi$
$338$	−3.31223	+	2.40648i	−0.180162	+	0.130895i
$339$	−30.3741	−	22.0681i	−1.64969	−	1.19857i
$340$	−0.923803	+	1.60969i	−0.0501003	+	0.0872979i
$341$	−13.8121	+	10.0351i	−0.747966	+	0.543429i
$342$	1.17727	−	3.62327i	0.0636595	−	0.195924i
$343$	18.8311			1.01678
$344$	−0.371076	+	1.14205i	−0.0200071	+	0.0615754i
$345$	2.01302	+	2.22406i	0.108377	+	0.119740i
$346$	−2.16647	−	6.66771i	−0.116470	−	0.358458i
$347$	0.425719	+	1.31023i	0.0228538	+	0.0703368i	0.961833	−	0.273637i	$-0.0882268\pi$
$347$	0.425719	+	1.31023i	0.0228538	+	0.0703368i	−0.938979	+	0.343974i	$0.888227\pi$
$348$	12.8215	+	9.31535i	0.687303	+	0.499355i
$349$	11.5039			0.615788			0.307894	−	0.951421i	$-0.400376\pi$
$349$	11.5039			0.615788			0.307894	+	0.951421i	$0.400376\pi$
$350$	−0.839502	+	8.40626i	−0.0448733	+	0.449334i
$351$	−6.30582			−0.336580
$352$	4.29805	+	3.12271i	0.229087	+	0.166441i
$353$	−5.26885	−	16.2159i	−0.280433	−	0.863083i	−0.987731	−	0.156167i	$-0.950086\pi$
$353$	−5.26885	−	16.2159i	−0.280433	−	0.863083i	0.707298	−	0.706916i	$-0.249914\pi$
$354$	5.76565	+	17.7448i	0.306441	+	0.943128i
$355$	−2.26926	−	0.476202i	−0.120440	−	0.0252742i
$356$	−1.45104	+	4.46585i	−0.0769050	+	0.236689i
$357$	−3.65959			−0.193686
$358$	1.38331	−	4.25740i	0.0731104	−	0.225011i
$359$	−24.8087	+	18.0246i	−1.30935	+	0.951301i	−0.309354	+	0.950947i	$0.600113\pi$
$359$	−24.8087	+	18.0246i	−1.30935	+	0.951301i	−1.00000		0.000354281i	$0.999887\pi$
$360$	−8.33722	−	1.74956i	−0.439410	−	0.0922098i
$361$	−0.809017	−	0.587785i	−0.0425798	−	0.0309361i
$362$	−0.895246	+	0.650434i	−0.0470531	+	0.0341861i
$363$	36.3639	−	26.4199i	1.90861	−	1.38668i
$364$	4.07928	+	2.96377i	0.213812	+	0.155344i
$365$	−30.8364	+	13.8251i	−1.61405	+	0.723640i
$366$	−1.14695	+	0.833309i	−0.0599521	+	0.0435578i
$367$	−5.41930	+	16.6789i	−0.282885	+	0.870631i	0.704139	+	0.710062i	$0.251333\pi$
$367$	−5.41930	+	16.6789i	−0.282885	+	0.870631i	−0.987025	+	0.160569i	$0.948667\pi$
$368$	0.514091			0.0267989
$369$	1.55573	−	4.78805i	0.0809882	−	0.249256i
$370$	7.15095	−	12.4603i	0.371760	−	0.647779i
$371$	−1.31894	−	4.05927i	−0.0684758	−	0.210747i
$372$	−2.59141	−	7.97553i	−0.134358	−	0.413512i
$373$	−12.1711	−	8.84282i	−0.630195	−	0.457864i	0.226273	−	0.974064i	$-0.427346\pi$
$373$	−12.1711	−	8.84282i	−0.630195	−	0.457864i	−0.856468	+	0.516200i	$0.827346\pi$
$374$	4.40954			0.228012
$375$	9.23123	+	27.6767i	0.476699	+	1.42922i
$376$	7.33051			0.378042
$377$	−14.6626	−	10.6530i	−0.755162	−	0.548658i
$378$	−1.10325	−	3.39545i	−0.0567451	−	0.174643i
$379$	9.48144	+	29.1809i	0.487029	+	1.49892i	0.829021	+	0.559217i	$0.188898\pi$
$379$	9.48144	+	29.1809i	0.487029	+	1.49892i	−0.341992	+	0.939703i	$0.611102\pi$
$380$	−1.11301	+	1.93938i	−0.0570963	+	0.0994882i
$381$	3.42901	−	10.5534i	0.175674	−	0.540668i
$382$	27.0733			1.38519
$383$	1.54619	−	4.75868i	0.0790066	−	0.243157i	−0.903750	−	0.428060i	$-0.859197\pi$
$383$	1.54619	−	4.75868i	0.0790066	−	0.243157i	0.982757	+	0.184903i	$0.0591971\pi$
$384$	−2.11117	+	1.53385i	−0.107735	+	0.0782741i
$385$	18.3153	−	8.21143i	0.933433	−	0.418493i
$386$	−3.31615	−	2.40932i	−0.168787	−	0.122631i
$387$	−3.70111	+	2.68901i	−0.188138	+	0.136690i
$388$	10.6006	−	7.70179i	0.538164	−	0.390999i
$389$	−4.76377	−	3.46108i	−0.241533	−	0.175484i	0.460433	−	0.887694i	$-0.347694\pi$
$389$	−4.76377	−	3.46108i	−0.241533	−	0.175484i	−0.701966	+	0.712211i	$0.747694\pi$
$390$	17.0424	+	3.57633i	0.862974	+	0.181094i
$391$	0.345206	−	0.250807i	0.0174578	−	0.0126838i
$392$	1.28094	−	3.94232i	0.0646971	−	0.199117i
$393$	13.3202			0.671913
$394$	−7.25024	+	22.3139i	−0.365262	+	1.12416i
$395$	4.51253	+	0.946950i	0.227050	+	0.0476463i
$396$	6.25446	+	19.2492i	0.314298	+	0.967311i
$397$	10.2655	+	31.5941i	0.515212	+	1.58566i	0.782895	+	0.622154i	$0.213742\pi$
$397$	10.2655	+	31.5941i	0.515212	+	1.58566i	−0.267683	+	0.963507i	$0.586258\pi$
$398$	2.58877	+	1.88085i	0.129764	+	0.0942787i
$399$	−4.40913			−0.220733
$400$	4.57821	+	2.00998i	0.228910	+	0.100499i
$401$	−22.9618			−1.14666			−0.573328	−	0.819326i	$-0.694348\pi$
$401$	−22.9618			−1.14666			−0.573328	+	0.819326i	$0.694348\pi$
$402$	−27.8312	−	20.2206i	−1.38810	−	1.00851i
$403$	2.96352	+	9.12079i	0.147624	+	0.454339i
$404$	−0.693336	−	2.13387i	−0.0344948	−	0.106164i
$405$	8.87584	+	9.80638i	0.441044	+	0.487283i
$406$	3.17092	−	9.75910i	0.157370	−	0.484336i
$407$	−34.1332			−1.69192
$408$	−0.669310	+	2.05992i	−0.0331358	+	0.101981i
$409$	14.7239	−	10.6975i	0.728051	−	0.528960i	−0.160896	−	0.986971i	$-0.551438\pi$
$409$	14.7239	−	10.6975i	0.728051	−	0.528960i	0.888946	+	0.458012i	$0.151438\pi$
$410$	−1.47082	+	2.56284i	−0.0726384	+	0.126570i
$411$	−41.1294	−	29.8823i	−2.02877	−	1.47398i
$412$	12.3849	−	8.99815i	0.610160	−	0.443307i
$413$	9.77342	−	7.10081i	0.480919	−	0.349408i
$414$	1.58450	+	1.15121i	0.0778738	+	0.0565787i
$415$	−5.26089	−	5.81244i	−0.258247	−	0.285321i
$416$	2.41432	−	1.75411i	0.118372	−	0.0860023i
$417$	12.8455	−	39.5345i	0.629048	−	1.93601i
$418$	5.31268			0.259852
$419$	−3.44214	+	10.5938i	−0.168160	+	0.517542i	−0.999255	−	0.0385874i	$-0.987714\pi$
$419$	−3.44214	+	10.5938i	−0.168160	+	0.517542i	0.831096	+	0.556130i	$0.187714\pi$
$420$	1.05597	+	9.80240i	0.0515259	+	0.478308i
$421$	−9.47323	−	29.1556i	−0.461697	−	1.42096i	−0.863089	−	0.505051i	$-0.831474\pi$
$421$	−9.47323	−	29.1556i	−0.461697	−	1.42096i	0.401392	−	0.915906i	$-0.368526\pi$
$422$	1.92144	+	5.91360i	0.0935345	+	0.287870i
$423$	22.5936	+	16.4152i	1.09854	+	0.798135i
$424$	−2.52612			−0.122679
$425$	4.05480	−	0.883867i	0.196687	−	0.0428739i
$426$	−2.70596			−0.131104
$427$	0.742623	+	0.539547i	0.0359380	+	0.0261105i
$428$	−4.26608	−	13.1297i	−0.206209	−	0.634646i
$429$	−12.7849	−	39.3480i	−0.617262	−	1.89974i
$430$	2.45015	−	1.09849i	0.118157	−	0.0529741i
$431$	11.0481	−	34.0027i	0.532170	−	1.63785i	−0.217516	−	0.976057i	$-0.569796\pi$
$431$	11.0481	−	34.0027i	0.532170	−	1.63785i	0.749686	−	0.661794i	$-0.230204\pi$
$432$	−2.11302			−0.101663
$433$	8.31625	−	25.5948i	0.399653	−	1.23001i	−0.525624	−	0.850717i	$-0.676168\pi$
$433$	8.31625	−	25.5948i	0.399653	−	1.23001i	0.925278	−	0.379290i	$-0.123832\pi$
$434$	−4.39272	+	3.19150i	−0.210857	+	0.153197i
$435$	−3.79558	−	35.2338i	−0.181984	−	1.68933i
$436$	6.42971	+	4.67146i	0.307927	+	0.223722i
$437$	0.415909	−	0.302175i	0.0198956	−	0.0144550i
$438$	−31.9061	+	23.1811i	−1.52453	+	1.10764i
$439$	−17.2541	−	12.5358i	−0.823494	−	0.598303i	0.0942173	−	0.995552i	$-0.469965\pi$
$439$	−17.2541	−	12.5358i	−0.823494	−	0.598303i	−0.917711	+	0.397248i	$0.869965\pi$
$440$	−1.27236	−	11.8112i	−0.0606575	−	0.563076i
$441$	12.7761	−	9.28235i	0.608384	−	0.442017i
$442$	0.765421	−	2.35572i	0.0364073	−	0.112050i
$443$	29.3366			1.39382			0.696912	−	0.717156i	$-0.254557\pi$
$443$	29.3366			1.39382			0.696912	+	0.717156i	$0.254557\pi$
$444$	5.18097	−	15.9454i	0.245878	−	0.756735i
$445$	9.58097	−	4.29551i	0.454182	−	0.203627i
$446$	−8.31980	−	25.6057i	−0.393954	−	1.21246i
$447$	−0.496974	−	1.52953i	−0.0235060	−	0.0723442i
$448$	1.36693	+	0.993131i	0.0645813	+	0.0469210i
$449$	−30.7753			−1.45238			−0.726188	−	0.687496i	$-0.758710\pi$
$449$	−30.7753			−1.45238			−0.726188	+	0.687496i	$0.758710\pi$
$450$	9.60970	+	16.4470i	0.453006	+	0.775320i
$451$	7.02056			0.330585
$452$	11.6396	+	8.45667i	0.547481	+	0.397768i
$453$	−2.22954	−	6.86183i	−0.104753	−	0.322397i
$454$	1.31229	+	4.03880i	0.0615886	+	0.189550i
$455$	−1.20760	−	11.2100i	−0.0566132	−	0.525533i
$456$	−0.806394	+	2.48183i	−0.0377629	+	0.116222i
$457$	−9.27899			−0.434053			−0.217026	−	0.976166i	$-0.569636\pi$
$457$	−9.27899			−0.434053			−0.217026	+	0.976166i	$0.569636\pi$
$458$	−2.46270	+	7.57942i	−0.115075	+	0.354163i
$459$	−1.41887	+	1.03087i	−0.0662270	+	0.0481167i
$460$	−0.771406	−	0.852280i	−0.0359670	−	0.0397378i
$461$	10.3032	+	7.48574i	0.479869	+	0.348646i	0.801275	−	0.598296i	$-0.204155\pi$
$461$	10.3032	+	7.48574i	0.479869	+	0.348646i	−0.321406	+	0.946942i	$0.604155\pi$
$462$	18.9506	−	13.7684i	0.881664	−	0.640566i
$463$	23.9153	−	17.3755i	1.11144	−	0.807506i	0.128548	−	0.991703i	$-0.458968\pi$
$463$	23.9153	−	17.3755i	1.11144	−	0.807506i	0.982889	+	0.184197i	$0.0589685\pi$
$464$	−4.91330	−	3.56972i	−0.228094	−	0.165720i
$465$	−9.33367	+	16.2636i	−0.432839	+	0.754206i
$466$	−21.1194	+	15.3441i	−0.978335	+	0.710802i
$467$	0.440672	−	1.35625i	0.0203919	−	0.0627598i	−0.940343	−	0.340229i	$-0.889496\pi$
$467$	0.440672	−	1.35625i	0.0203919	−	0.0627598i	0.960735	+	0.277469i	$0.0894955\pi$
$468$	11.3692			0.525544
$469$	−6.88304	+	21.1838i	−0.317829	+	0.978178i
$470$	−10.9996	−	12.1528i	−0.507374	−	0.560567i
$471$	−8.67771	−	26.7072i	−0.399848	−	1.23060i
$472$	−2.20945	−	6.79998i	−0.101698	−	0.312994i
$473$	−5.16121	−	3.74984i	−0.237312	−	0.172418i
$474$	5.38094			0.247155
$475$	4.88528	−	1.06490i	0.224152	−	0.0488608i
$476$	1.40239			0.0642783
$477$	−7.78584	−	5.65674i	−0.356489	−	0.259004i
$478$	−9.04942	−	27.8512i	−0.413911	−	1.27389i
$479$	7.97883	+	24.5563i	0.364562	+	1.12201i	0.950255	+	0.311473i	$0.100822\pi$
$479$	7.97883	+	24.5563i	0.364562	+	1.12201i	−0.585693	+	0.810533i	$0.699178\pi$
$480$	5.71073	+	1.19839i	0.260658	+	0.0546989i
$481$	−5.92494	+	18.2351i	−0.270154	+	0.831449i
$482$	23.1691			1.05532
$483$	0.700447	−	2.15575i	0.0318715	−	0.0980902i
$484$	−13.9349	+	10.1243i	−0.633407	+	0.460197i
$485$	−28.6748	−	6.01738i	−1.30205	−	0.273235i
$486$	17.6163	+	12.7990i	0.799091	+	0.580574i
$487$	21.9502	−	15.9478i	0.994660	−	0.722662i	0.0337230	−	0.999431i	$-0.489264\pi$
$487$	21.9502	−	15.9478i	0.994660	−	0.722662i	0.960937	+	0.276769i	$0.0892636\pi$
$488$	0.439522	−	0.319331i	0.0198962	−	0.0144554i
$489$	−28.3245	−	20.5789i	−1.28088	−	0.930611i
$490$	−8.45780	+	3.79195i	−0.382085	+	0.171303i
$491$	−33.6310	+	24.4344i	−1.51775	+	1.10271i	−0.555157	+	0.831745i	$0.687342\pi$
$491$	−33.6310	+	24.4344i	−1.51775	+	1.10271i	−0.962590	+	0.270963i	$0.912658\pi$
$492$	−1.06563	+	3.27967i	−0.0480422	+	0.147859i
$493$	−5.04075			−0.227024
$494$	0.922190	−	2.83821i	0.0414913	−	0.127697i
$495$	22.5272	−	39.2528i	1.01252	−	1.76428i
$496$	0.993049	+	3.05629i	0.0445892	+	0.137231i
$497$	0.541411	+	1.66629i	0.0242856	+	0.0747434i
$498$	−7.40182	−	5.37774i	−0.331684	−	0.240982i
$499$	19.3342			0.865518			0.432759	−	0.901510i	$-0.357540\pi$
$499$	19.3342			0.865518			0.432759	+	0.901510i	$0.357540\pi$
$500$	−3.53749	−	10.6060i	−0.158201	−	0.474313i
$501$	13.6268			0.608799
$502$	−20.9111	−	15.1928i	−0.933309	−	0.678089i
$503$	6.18127	+	19.0240i	0.275609	+	0.848238i	0.989058	+	0.147530i	$0.0471323\pi$
$503$	6.18127	+	19.0240i	0.275609	+	0.848238i	−0.713448	+	0.700708i	$0.752868\pi$
$504$	1.98913	+	6.12193i	0.0886031	+	0.272692i
$505$	−2.49725	+	4.35136i	−0.111126	+	0.193633i
$506$	−0.843987	+	2.59753i	−0.0375198	+	0.115474i
$507$	10.6839			0.474487
$508$	−1.31403	+	4.04416i	−0.0583005	+	0.179431i
$509$	35.2743	−	25.6283i	1.56351	−	1.13595i	0.630445	−	0.776234i	$-0.282873\pi$
$509$	35.2743	−	25.6283i	1.56351	−	1.13595i	0.933061	−	0.359719i	$-0.117127\pi$
$510$	4.41934	−	1.98136i	0.195691	−	0.0877359i
$511$	20.6584	+	15.0092i	0.913874	+	0.663969i
$512$	0.809017	−	0.587785i	0.0357538	−	0.0259767i
$513$	−1.70947	+	1.24200i	−0.0754749	+	0.0548357i
$514$	−23.6190	−	17.1602i	−1.04179	−	0.756903i
$515$	−33.5013	−	7.03022i	−1.47624	−	0.309789i
$516$	2.53514	−	1.84189i	0.111603	−	0.0810847i
$517$	−12.0346	+	37.0385i	−0.529279	+	1.62895i
$518$	−10.8556			−0.476966
$519$	−5.65350	+	17.3997i	−0.248161	+	0.763761i
$520$	−6.53078	−	1.37048i	−0.286394	−	0.0600995i
$521$	9.73837	+	29.9716i	0.426646	+	1.31308i	0.901410	+	0.432967i	$0.142533\pi$
$521$	9.73837	+	29.9716i	0.426646	+	1.31308i	−0.474764	+	0.880113i	$0.657467\pi$
$522$	−7.14976	−	22.0047i	−0.312937	−	0.963120i
$523$	−11.7333	−	8.52474i	−0.513061	−	0.372761i	0.300922	−	0.953649i	$-0.402705\pi$
$523$	−11.7333	−	8.52474i	−0.513061	−	0.372761i	−0.813984	+	0.580888i	$0.802705\pi$
$524$	−5.10440			−0.222987
$525$	14.6663	−	16.4594i	0.640090	−	0.718345i
$526$	14.9680			0.652634
$527$	2.15787	+	1.56779i	0.0939984	+	0.0682938i
$528$	−4.28411	−	13.1851i	−0.186442	−	0.573809i
$529$	−7.02572	−	21.6229i	−0.305466	−	0.940128i
$530$	3.79050	+	4.18790i	0.164649	+	0.181911i
$531$	8.41739	−	25.9061i	0.365284	−	1.12423i
$532$	1.68962			0.0732541
$533$	1.21865	−	3.75062i	0.0527856	−	0.162457i
$534$	9.91334	−	7.20246i	0.428992	−	0.311681i
$535$	−15.3655	+	26.7738i	−0.664308	+	1.15753i
$536$	10.6652	+	7.74870i	0.460665	+	0.334693i
$537$	−9.45064	+	6.86629i	−0.407825	+	0.296302i
$538$	1.34564	−	0.977662i	0.0580145	−	0.0421500i
$539$	17.8163	+	12.9443i	0.767400	+	0.557549i
$540$	3.17064	+	3.50305i	0.136442	+	0.150747i
$541$	0.256006	−	0.185999i	0.0110065	−	0.00799672i	−0.582268	−	0.812997i	$-0.697835\pi$
$541$	0.256006	−	0.185999i	0.0110065	−	0.00799672i	0.593275	+	0.805000i	$0.297835\pi$
$542$	3.49508	−	10.7567i	0.150126	−	0.462042i
$543$	2.88768			0.123922
$544$	0.256485	−	0.789380i	0.0109967	−	0.0338444i
$545$	−1.90341	−	17.6691i	−0.0815329	−	0.756859i
$546$	−4.06605	−	12.5140i	−0.174011	−	0.535551i
$547$	12.4495	+	38.3156i	0.532302	+	1.63826i	0.749408	+	0.662108i	$0.230338\pi$
$547$	12.4495	+	38.3156i	0.532302	+	1.63826i	−0.217106	+	0.976148i	$0.569662\pi$
$548$	15.7611	+	11.4511i	0.673283	+	0.489169i
$549$	2.06974			0.0883345
$550$	−17.6718	+	19.8323i	−0.753529	+	0.845653i
$551$	−6.07317			−0.258726
$552$	−1.08533	−	0.788540i	−0.0461948	−	0.0335625i
$553$	−1.07662	−	3.31350i	−0.0457826	−	0.140904i
$554$	−2.43238	−	7.48611i	−0.103342	−	0.318054i
$555$	−34.2091	+	15.3372i	−1.45209	+	0.651029i
$556$	−4.92252	+	15.1499i	−0.208761	+	0.642501i
$557$	−43.5783			−1.84647			−0.923236	−	0.384233i	$-0.874466\pi$
$557$	−43.5783			−1.84647			−0.923236	+	0.384233i	$0.874466\pi$
$558$	−3.78325	+	11.6436i	−0.160158	+	0.492914i
$559$	−2.89918	+	2.10638i	−0.122622	+	0.0890904i
$560$	−0.404656	−	3.75636i	−0.0170998	−	0.158735i
$561$	−9.30927	−	6.76358i	−0.393038	−	0.285559i
$562$	19.1077	−	13.8825i	0.806008	−	0.585599i
$563$	−16.0010	+	11.6254i	−0.674364	+	0.489954i	−0.871483	−	0.490426i	$-0.836841\pi$
$563$	−16.0010	+	11.6254i	−0.674364	+	0.489954i	0.197119	+	0.980379i	$0.436841\pi$
$564$	−15.4759	−	11.2439i	−0.651654	−	0.473454i
$565$	−3.44571	−	31.9860i	−0.144962	−	1.34566i
$566$	−1.89599	+	1.37752i	−0.0796945	+	0.0579014i
$567$	3.08842	−	9.50519i	0.129702	−	0.399180i
$568$	1.03695			0.0435094
$569$	1.93294	−	5.94898i	0.0810330	−	0.249394i	−0.902330	−	0.431046i	$-0.858145\pi$
$569$	1.93294	−	5.94898i	0.0810330	−	0.249394i	0.983363	+	0.181652i	$0.0581445\pi$
$570$	5.32448	−	2.38717i	0.223018	−	0.0999874i
$571$	−4.33442	−	13.3400i	−0.181390	−	0.558260i	0.818478	−	0.574538i	$-0.194818\pi$
$571$	−4.33442	−	13.3400i	−0.181390	−	0.558260i	−0.999868	+	0.0162782i	$0.994818\pi$
$572$	4.89930	+	15.0785i	0.204850	+	0.630463i
$573$	−57.1563	−	41.5265i	−2.38774	−	1.73479i
$574$	2.23278			0.0931946
$575$	−0.255431	+	2.55773i	−0.0106522	+	0.106665i
$576$	3.80973			0.158739
$577$	14.6687	+	10.6575i	0.610667	+	0.443676i	0.849649	−	0.527348i	$-0.176814\pi$
$577$	14.6687	+	10.6575i	0.610667	+	0.443676i	−0.238982	+	0.971024i	$0.576814\pi$
$578$	5.04041	+	15.5128i	0.209653	+	0.645246i
$579$	3.30540	+	10.1730i	0.137368	+	0.422774i
$580$	1.45450	+	13.5019i	0.0603947	+	0.560636i
$581$	−1.83057	+	5.63392i	−0.0759448	+	0.233734i
$582$	−34.1930			−1.41735
$583$	4.14715	−	12.7636i	0.171757	−	0.528615i
$584$	12.2267	−	8.88321i	0.505944	−	0.367590i
$585$	−17.0598	−	18.8484i	−0.705337	−	0.779285i
$586$	26.0983	+	18.9615i	1.07811	+	0.783294i
$587$	11.9960	−	8.71560i	0.495128	−	0.359731i	−0.312025	−	0.950074i	$-0.601007\pi$
$587$	11.9960	−	8.71560i	0.495128	−	0.359731i	0.807153	+	0.590343i	$0.201007\pi$
$588$	−8.75120	+	6.35812i	−0.360894	+	0.262205i
$589$	2.59984	+	1.88889i	0.107124	+	0.0778304i
$590$	−7.95794	+	13.8664i	−0.327623	+	0.570872i
$591$	49.5327	−	35.9876i	2.03750	−	1.48033i
$592$	−1.98539	+	6.11041i	−0.0815991	+	0.251136i
$593$	−38.5695			−1.58386			−0.791930	−	0.610611i	$-0.790924\pi$
$593$	−38.5695			−1.58386			−0.791930	+	0.610611i	$0.790924\pi$
$594$	3.46896	−	10.6764i	0.142333	−	0.438057i
$595$	−2.10431	−	2.32493i	−0.0862685	−	0.0953129i
$596$	0.190445	+	0.586128i	0.00780091	+	0.0240087i
$597$	−2.58038	−	7.94159i	−0.105608	−	0.325028i
$598$	1.24118	+	0.901772i	0.0507557	+	0.0368762i
$599$	−7.01865			−0.286774			−0.143387	−	0.989667i	$-0.545799\pi$
$599$	−7.01865			−0.286774			−0.143387	+	0.989667i	$0.545799\pi$
$600$	−6.58235	−	11.2657i	−0.268723	−	0.459920i
$601$	27.7995			1.13397			0.566984	−	0.823729i	$-0.308110\pi$
$601$	27.7995			1.13397			0.566984	+	0.823729i	$0.308110\pi$
$602$	−1.64144	−	1.19258i	−0.0669002	−	0.0486058i
$603$	15.5198	+	47.7650i	0.632015	+	1.94514i
$604$	0.854380	+	2.62951i	0.0347642	+	0.106993i
$605$	37.6942	+	7.91010i	1.53249	+	0.321591i
$606$	−1.80929	+	5.56843i	−0.0734975	+	0.226202i
$607$	1.33636			0.0542412			0.0271206	−	0.999632i	$-0.491366\pi$
$607$	1.33636			0.0542412			0.0271206	+	0.999632i	$0.491366\pi$
$608$	0.309017	−	0.951057i	0.0125323	−	0.0385704i
$609$	−21.6634	+	15.7394i	−0.877844	+	0.637791i
$610$	−1.18891	−	0.249492i	−0.0481376	−	0.0101016i
$611$	17.6982	+	12.8585i	0.715993	+	0.520200i
$612$	2.55818	−	1.85863i	0.103408	−	0.0751306i
$613$	−26.2062	+	19.0399i	−1.05846	+	0.769015i	−0.973802	−	0.227396i	$-0.926979\pi$
$613$	−26.2062	+	19.0399i	−1.05846	+	0.769015i	−0.0846554	+	0.996410i	$0.526979\pi$
$614$	−5.98962	−	4.35171i	−0.241721	−	0.175621i
$615$	7.03616	−	3.15458i	0.283725	−	0.127205i
$616$	−7.26205	+	5.27619i	−0.292596	+	0.212584i
$617$	−10.3090	+	31.7278i	−0.415024	+	1.27731i	0.497205	+	0.867633i	$0.334360\pi$
$617$	−10.3090	+	31.7278i	−0.415024	+	1.27731i	−0.912229	+	0.409680i	$0.865640\pi$
$618$	−39.9484			−1.60696
$619$	8.79929	−	27.0814i	0.353673	−	1.08850i	−0.603101	−	0.797665i	$-0.706068\pi$
$619$	8.79929	−	27.0814i	0.353673	−	1.08850i	0.956775	−	0.290830i	$-0.0939315\pi$
$620$	3.57674	−	6.23235i	0.143645	−	0.250297i
$621$	−0.335681	−	1.03312i	−0.0134704	−	0.0414576i
$622$	3.75825	+	11.5667i	0.150692	+	0.463782i
$623$	−6.41864	−	4.66341i	−0.257157	−	0.186836i
$624$	−7.78758			−0.311753
$625$	−12.2749	+	21.7791i	−0.490995	+	0.871162i
$626$	1.49563			0.0597773
$627$	−11.2159	−	8.14886i	−0.447922	−	0.325434i
$628$	3.32537	+	10.2344i	0.132697	+	0.408399i
$629$	1.64788	+	5.07166i	0.0657054	+	0.202220i
$630$	7.16443	−	12.4838i	0.285438	−	0.497365i
$631$	−14.3548	+	44.1796i	−0.571457	+	1.75876i	0.0764810	+	0.997071i	$0.475632\pi$
$631$	−14.3548	+	44.1796i	−0.571457	+	1.75876i	−0.647938	+	0.761693i	$0.724368\pi$
$632$	−2.06202			−0.0820228
$633$	5.01410	−	15.4318i	0.199292	−	0.613359i
$634$	−21.7804	+	15.8244i	−0.865009	+	0.628466i
$635$	8.67629	−	3.88991i	0.344308	−	0.154366i
$636$	5.33306	+	3.87469i	0.211469	+	0.153642i
$637$	10.0079	−	7.27113i	0.396526	−	0.288093i
$638$	26.1028	−	18.9648i	1.03342	−	0.750822i
$639$	3.19601	+	2.32204i	0.126432	+	0.0918585i
$640$	−2.18840	−	0.459234i	−0.0865042	−	0.0181528i
$641$	−22.8773	+	16.6214i	−0.903600	+	0.656504i	−0.939388	−	0.342855i	$-0.888606\pi$
$641$	−22.8773	+	16.6214i	−0.903600	+	0.656504i	0.0357878	+	0.999359i	$0.488606\pi$
$642$	−11.1325	+	34.2624i	−0.439366	+	1.35223i
$643$	−4.83714			−0.190758			−0.0953791	−	0.995441i	$-0.530406\pi$
$643$	−4.83714			−0.190758			−0.0953791	+	0.995441i	$0.530406\pi$
$644$	−0.268417	+	0.826104i	−0.0105771	+	0.0325530i
$645$	−6.85760	−	1.43906i	−0.270018	−	0.0566630i
$646$	−0.256485	−	0.789380i	−0.0100913	−	0.0310577i
$647$	1.37011	+	4.21676i	0.0538646	+	0.165778i	0.974370	−	0.224952i	$-0.0722226\pi$
$647$	1.37011	+	4.21676i	0.0538646	+	0.165778i	−0.920505	+	0.390730i	$0.872223\pi$
$648$	−4.78546	−	3.47684i	−0.187991	−	0.136583i
$649$	37.9852			1.49105
$650$	7.52755	+	12.8834i	0.295255	+	0.505329i
$651$	14.1691			0.555329
$652$	10.8542	+	7.88602i	0.425082	+	0.308840i
$653$	−4.29833	−	13.2289i	−0.168207	−	0.517687i	0.831052	−	0.556195i	$-0.187739\pi$
$653$	−4.29833	−	13.2289i	−0.168207	−	0.517687i	−0.999258	+	0.0385086i	$0.987739\pi$
$654$	−6.40886	−	19.7244i	−0.250606	−	0.771287i
$655$	7.65927	+	8.46227i	0.299272	+	0.330648i
$656$	0.408358	−	1.25680i	0.0159437	−	0.0490697i
$657$	57.5765			2.24627
$658$	−3.82741	+	11.7795i	−0.149208	+	0.459214i
$659$	−26.8424	+	19.5021i	−1.04563	+	0.759694i	−0.971377	−	0.237545i	$-0.923657\pi$
$659$	−26.8424	+	19.5021i	−1.04563	+	0.759694i	−0.0742531	+	0.997239i	$0.523657\pi$
$660$	−15.4304	+	26.8870i	−0.600628	+	1.04657i
$661$	−7.33621	−	5.33007i	−0.285346	−	0.207316i	0.435900	−	0.899995i	$-0.356430\pi$
$661$	−7.33621	−	5.33007i	−0.285346	−	0.207316i	−0.721246	+	0.692679i	$0.756430\pi$
$662$	−14.5533	+	10.5736i	−0.565631	+	0.410955i
$663$	−5.22926	+	3.79928i	−0.203088	+	0.147552i
$664$	2.83644	+	2.06079i	0.110075	+	0.0799743i
$665$	−2.53531	−	2.80111i	−0.0983150	−	0.108622i
$666$	−19.8023	+	14.3872i	−0.767323	+	0.557493i
$667$	0.964802	−	2.96935i	0.0373573	−	0.114974i
$668$	−5.22190			−0.202041
$669$	−21.7109	+	66.8192i	−0.839391	+	2.58338i
$670$	−3.15724	−	29.3082i	−0.121975	−	1.13228i
$671$	0.891905	+	2.74500i	0.0344316	+	0.105970i
$672$	−1.36250	−	4.19333i	−0.0525594	−	0.161761i
$673$	31.2609	+	22.7124i	1.20502	+	0.875499i	0.994769	−	0.102148i	$-0.0325717\pi$
$673$	31.2609	+	22.7124i	1.20502	+	0.875499i	0.210252	+	0.977647i	$0.432572\pi$
$674$	1.93355			0.0744776
$675$	1.04987	−	10.5128i	0.0404097	−	0.404638i
$676$	−4.09414			−0.157467
$677$	−21.6029	−	15.6954i	−0.830266	−	0.603223i	0.0893687	−	0.995999i	$-0.471515\pi$
$677$	−21.6029	−	15.6954i	−0.830266	−	0.603223i	−0.919635	+	0.392775i	$0.871515\pi$
$678$	−11.6019	−	35.7069i	−0.445567	−	1.37131i
$679$	6.84137	+	21.0556i	0.262548	+	0.808039i
$680$	−1.69353	+	0.759272i	−0.0649438	+	0.0291168i
$681$	3.42447	−	10.5394i	0.131226	−	0.403872i
$682$	−17.0727			−0.653747
$683$	9.80638	−	30.1809i	0.375231	−	1.15484i	−0.568092	−	0.822965i	$-0.692318\pi$
$683$	9.80638	−	30.1809i	0.375231	−	1.15484i	0.943323	−	0.331876i	$-0.107682\pi$
$684$	3.08213	−	2.23930i	0.117848	−	0.0856218i
$685$	−4.66582	−	43.3121i	−0.178272	−	1.65487i
$686$	15.2347	+	11.0686i	0.581663	+	0.422603i
$687$	16.8249	−	12.2240i	0.641910	−	0.466375i
$688$	−0.971489	+	0.705828i	−0.0370377	+	0.0269094i
$689$	−6.09887	−	4.43109i	−0.232348	−	0.168811i
$690$	0.321294	+	2.98253i	0.0122315	+	0.113543i
$691$	5.33184	−	3.87381i	0.202833	−	0.147367i	−0.481732	−	0.876319i	$-0.659992\pi$
$691$	5.33184	−	3.87381i	0.202833	−	0.147367i	0.684565	+	0.728952i	$0.259992\pi$
$692$	2.16647	−	6.66771i	0.0823568	−	0.253468i
$693$	−34.1976			−1.29906
$694$	−0.425719	+	1.31023i	−0.0161601	+	0.0497356i
$695$	32.5025	−	14.5721i	1.23289	−	0.552752i
$696$	4.89737	+	15.0725i	0.185634	+	0.571323i
$697$	−0.338938	−	1.04315i	−0.0128382	−	0.0395119i
$698$	9.30682	+	6.76180i	0.352268	+	0.255938i
$699$	68.1221			2.57661
$700$	−5.62025	+	6.30736i	−0.212425	+	0.238396i
$701$	−10.6238			−0.401257			−0.200629	−	0.979667i	$-0.564298\pi$
$701$	−10.6238			−0.401257			−0.200629	+	0.979667i	$0.564298\pi$
$702$	−5.10151	−	3.70647i	−0.192544	−	0.139892i
$703$	1.98539	+	6.11041i	0.0748805	+	0.230458i
$704$	1.64171	+	5.05266i	0.0618742	+	0.190429i
$705$	4.58138	+	42.5284i	0.172545	+	1.60171i
$706$	5.26885	−	16.2159i	0.198296	−	0.610292i
$707$	3.79096			0.142574
$708$	−5.76565	+	17.7448i	−0.216686	+	0.666892i
$709$	2.74134	−	1.99170i	0.102953	−	0.0747999i	−0.535118	−	0.844778i	$-0.679733\pi$
$709$	2.74134	−	1.99170i	0.102953	−	0.0747999i	0.638071	+	0.769978i	$0.279733\pi$
$710$	−1.55596	−	1.71909i	−0.0583943	−	0.0645164i
$711$	−6.35542	−	4.61748i	−0.238347	−	0.173169i
$712$	−3.79888	+	2.76004i	−0.142369	+	0.103437i
$713$	−1.33655	+	0.971062i	−0.0500543	+	0.0363666i
$714$	−2.96067	−	2.15105i	−0.110800	−	0.0805012i
$715$	17.6462	−	30.7479i	0.659930	−	1.14990i
$716$	3.62156	−	2.63122i	0.135344	−	0.0983333i
$717$	−23.6149	+	72.6791i	−0.881914	+	2.71425i
$718$	−30.6653			−1.14442
$719$	−12.1322	+	37.3391i	−0.452455	+	1.39251i	0.421642	+	0.906762i	$0.361454\pi$
$719$	−12.1322	+	37.3391i	−0.452455	+	1.39251i	−0.874097	+	0.485751i	$0.838546\pi$
$720$	−5.71658	−	6.31591i	−0.213045	−	0.235380i
$721$	7.99291	+	24.5997i	0.297672	+	0.916139i
$722$	−0.309017	−	0.951057i	−0.0115004	−	0.0353947i
$723$	−48.9138	−	35.5380i	−1.81912	−	1.32167i
$724$	−1.10658			−0.0411259
$725$	20.2015	−	22.6712i	0.750264	−	0.841989i
$726$	44.9482			1.66818
$727$	−33.4765	−	24.3221i	−1.24158	−	0.902058i	−0.243873	−	0.969807i	$-0.578418\pi$
$727$	−33.4765	−	24.3221i	−1.24158	−	0.902058i	−0.997702	+	0.0677495i	$0.978418\pi$
$728$	1.55815	+	4.79548i	0.0577487	+	0.177732i
$729$	−12.0755	−	37.1646i	−0.447242	−	1.37647i
$730$	−33.0734	−	6.94042i	−1.22410	−	0.256876i
$731$	−0.307994	+	0.947908i	−0.0113916	+	0.0350597i
$732$	−1.41771			−0.0524001
$733$	−5.31047	+	16.3439i	−0.196147	+	0.603677i	0.803815	+	0.594880i	$0.202800\pi$
$733$	−5.31047	+	16.3439i	−0.196147	+	0.603677i	−0.999961	+	0.00879744i	$0.997200\pi$
$734$	−14.1879	+	10.3081i	−0.523686	+	0.380480i
$735$	23.6721	+	4.96758i	0.873160	+	0.183232i
$736$	0.415909	+	0.302175i	0.0153306	+	0.0111383i
$737$	−56.6606	+	41.1663i	−2.08712	+	1.51638i
$738$	4.07296	−	2.95918i	0.149928	−	0.108929i
$739$	25.0988	+	18.2354i	0.923276	+	0.670799i	0.944337	−	0.328979i	$-0.106705\pi$
$739$	25.0988	+	18.2354i	0.923276	+	0.670799i	−0.0210613	+	0.999778i	$0.506705\pi$
$740$	13.1092	−	5.87735i	0.481904	−	0.216056i
$741$	−6.30029	+	4.57743i	−0.231447	+	0.168156i
$742$	1.31894	−	4.05927i	0.0484197	−	0.149020i
$743$	10.5908			0.388540			0.194270	−	0.980948i	$-0.437766\pi$
$743$	10.5908			0.388540			0.194270	+	0.980948i	$0.437766\pi$
$744$	2.59141	−	7.97553i	0.0950055	−	0.292397i
$745$	0.685939	−	1.19523i	0.0251309	−	0.0437897i
$746$	−4.64894	−	14.3080i	−0.170210	−	0.523852i
$747$	4.12755	+	12.7033i	0.151019	+	0.464789i
$748$	3.56739	+	2.59186i	0.130437	+	0.0947679i
$749$	23.3257			0.852303
$750$	−8.79974	+	27.8169i	−0.321321	+	1.01573i
$751$	1.77603			0.0648083			0.0324041	−	0.999475i	$-0.489684\pi$
$751$	1.77603			0.0648083			0.0324041	+	0.999475i	$0.489684\pi$
$752$	5.93051	+	4.30876i	0.216263	+	0.157124i
$753$	20.8433	+	64.1491i	0.759573	+	2.33772i
$754$	−5.60061	−	17.2369i	−0.203962	−	0.627732i
$755$	3.07729	−	5.36207i	0.111994	−	0.195146i
$756$	1.10325	−	3.39545i	0.0401248	−	0.123491i
$757$	25.3739			0.922230			0.461115	−	0.887340i	$-0.347450\pi$
$757$	25.3739			0.922230			0.461115	+	0.887340i	$0.347450\pi$
$758$	−9.48144	+	29.1809i	−0.344381	+	1.05990i
$759$	5.76602	−	4.18926i	0.209293	−	0.152060i
$760$	−2.04039	+	0.914782i	−0.0740126	+	0.0331826i
$761$	13.7622	+	9.99879i	0.498878	+	0.362456i	0.808588	−	0.588375i	$-0.200232\pi$
$761$	13.7622	+	9.99879i	0.498878	+	0.362456i	−0.309710	+	0.950831i	$0.600232\pi$
$762$	8.97727	−	6.52237i	0.325212	−	0.236281i
$763$	−10.8637	+	7.89297i	−0.393294	+	0.285745i
$764$	21.9028	+	15.9133i	0.792415	+	0.575723i
$765$	−6.91992	−	1.45214i	−0.250190	−	0.0525022i
$766$	4.04798	−	2.94103i	0.146259	−	0.106264i
$767$	6.59358	−	20.2930i	0.238080	−	0.732736i
$768$	−2.60955			−0.0941639
$769$	−0.337370	+	1.03832i	−0.0121659	+	0.0374427i	−0.956955	−	0.290236i	$-0.906266\pi$
$769$	−0.337370	+	1.03832i	−0.0121659	+	0.0374427i	0.944789	+	0.327678i	$0.106266\pi$
$770$	19.6439	+	4.12226i	0.707918	+	0.148556i
$771$	23.5424	+	72.4560i	0.847858	+	2.60944i
$772$	−1.26666	−	3.89837i	−0.0455879	−	0.140305i
$773$	−24.6715	−	17.9249i	−0.887372	−	0.644714i	0.0478192	−	0.998856i	$-0.484773\pi$
$773$	−24.6715	−	17.9249i	−0.887372	−	0.644714i	−0.935192	+	0.354142i	$0.884773\pi$
$774$	−4.57482			−0.164438
$775$	−15.6992	+	3.42212i	−0.563933	+	0.122926i
$776$	13.1031			0.470373
$777$	22.9179	+	16.6508i	0.822174	+	0.597345i
$778$	−1.81960	−	5.60015i	−0.0652358	−	0.200775i
$779$	−0.408358	−	1.25680i	−0.0146309	−	0.0450294i
$780$	11.6855	+	12.9106i	0.418406	+	0.462272i
$781$	−1.70237	+	5.23934i	−0.0609154	+	0.187478i
$782$	0.426698			0.0152587
$783$	−3.96553	+	12.2047i	−0.141717	+	0.436159i
$784$	3.35354	−	2.43649i	0.119769	−	0.0870174i
$785$	11.9773	−	20.8699i	0.427487	−	0.744880i
$786$	10.7762	+	7.82939i	0.384375	+	0.279265i
$787$	−2.30898	+	1.67757i	−0.0823062	+	0.0597990i	−0.628177	−	0.778070i	$-0.716199\pi$
$787$	−2.30898	+	1.67757i	−0.0823062	+	0.0597990i	0.545871	+	0.837869i	$0.316199\pi$
$788$	−18.9814	+	13.7908i	−0.676183	+	0.491276i
$789$	−31.5999	−	22.9586i	−1.12498	−	0.817349i
$790$	3.09411	+	3.41850i	0.110083	+	0.121625i
$791$	−19.6665	+	14.2885i	−0.699259	+	0.508041i
$792$	−6.25446	+	19.2492i	−0.222242	+	0.683992i
$793$	1.62129			0.0575737
$794$	−10.2655	+	31.5941i	−0.364310	+	1.12123i
$795$	−1.57876	−	14.6554i	−0.0559928	−	0.519774i
$796$	0.988824	+	3.04329i	0.0350479	+	0.107866i
$797$	−13.7753	−	42.3960i	−0.487946	−	1.50174i	−0.827668	−	0.561218i	$-0.810333\pi$
$797$	−13.7753	−	42.3960i	−0.487946	−	1.50174i	0.339721	−	0.940526i	$-0.389667\pi$
$798$	−3.56706	−	2.59162i	−0.126273	−	0.0917424i
$799$	6.08435			0.215249
$800$	2.52241	+	4.31711i	0.0891807	+	0.152633i
$801$	−17.8892			−0.632084
$802$	−18.5765	−	13.4966i	−0.655958	−	0.476582i
$803$	24.8112	+	76.3609i	0.875567	+	2.69472i
$804$	−10.6306	−	32.7176i	−0.374912	−	1.15386i
$805$	1.77231	−	0.794595i	0.0624658	−	0.0280058i
$806$	−2.96352	+	9.12079i	−0.104386	+	0.321266i
$807$	−4.34045			−0.152791
$808$	0.693336	−	2.13387i	0.0243915	−	0.0750693i
$809$	30.7148	−	22.3156i	1.07988	−	0.784576i	0.102215	−	0.994762i	$-0.467407\pi$
$809$	30.7148	−	22.3156i	1.07988	−	0.784576i	0.977661	+	0.210187i	$0.0674072\pi$
$810$	1.41665	+	13.1506i	0.0497762	+	0.462066i
$811$	−28.8930	−	20.9920i	−1.01457	−	0.737128i	−0.0494070	−	0.998779i	$-0.515733\pi$
$811$	−28.8930	−	20.9920i	−1.01457	−	0.737128i	−0.965163	+	0.261651i	$0.915733\pi$
$812$	8.30159	−	6.03146i	0.291329	−	0.211663i
$813$	−23.8779	+	17.3483i	−0.837436	+	0.608433i
$814$	−27.6144	−	20.0630i	−0.967883	−	0.703208i
$815$	−3.21319	−	29.8276i	−0.112553	−	1.04482i
$816$	−1.75228	+	1.27310i	−0.0613419	+	0.0445675i
$817$	−0.371076	+	1.14205i	−0.0129823	+	0.0399554i
$818$	18.1998			0.636339
$819$	−5.93611	+	18.2695i	−0.207425	+	0.638387i
$820$	−2.69632	+	1.20886i	−0.0941594	+	0.0422152i
$821$	−12.4783	−	38.4042i	−0.435495	−	1.34031i	−0.892579	−	0.450891i	$-0.851106\pi$
$821$	−12.4783	−	38.4042i	−0.435495	−	1.34031i	0.457084	−	0.889423i	$-0.348894\pi$
$822$	−15.7100	−	48.3505i	−0.547951	−	1.68642i
$823$	−33.5349	−	24.3646i	−1.16895	−	0.849295i	−0.178071	−	0.984018i	$-0.556986\pi$
$823$	−33.5349	−	24.3646i	−1.16895	−	0.849295i	−0.990883	+	0.134723i	$0.956986\pi$
$824$	15.3086			0.533299
$825$	67.7280	−	14.7634i	2.35799	−	0.513994i
$826$	12.0806			0.420338
$827$	27.6299	+	20.0743i	0.960784	+	0.698051i	0.953333	−	0.301922i	$-0.0976281\pi$
$827$	27.6299	+	20.0743i	0.960784	+	0.698051i	0.00745157	+	0.999972i	$0.497628\pi$
$828$	0.605224	+	1.86269i	0.0210330	+	0.0647329i
$829$	−1.32732	−	4.08508i	−0.0460998	−	0.141881i	0.925357	−	0.379097i	$-0.123765\pi$
$829$	−1.32732	−	4.08508i	−0.0460998	−	0.141881i	−0.971457	+	0.237216i	$0.923765\pi$
$830$	−0.839680	−	7.79463i	−0.0291457	−	0.270556i
$831$	−6.34742	+	19.5353i	−0.220189	+	0.677673i
$832$	2.98427			0.103461
$833$	1.06318	−	3.27214i	0.0368371	−	0.113373i
$834$	33.6300	−	24.4337i	1.16451	−	0.846068i
$835$	7.83558	+	8.65706i	0.271161	+	0.299590i
$836$	4.29805	+	3.12271i	0.148651	+	0.108001i
$837$	5.49350	−	3.99126i	0.189883	−	0.137958i
$838$	−9.01164	+	6.54734i	−0.311302	+	0.226174i
$839$	36.2428	+	26.3319i	1.25124	+	0.909080i	0.998293	−	0.0584001i	$-0.0185999\pi$
$839$	36.2428	+	26.3319i	1.25124	+	0.909080i	0.252948	+	0.967480i	$0.418600\pi$
$840$	−4.90741	+	8.55099i	−0.169322	+	0.295037i
$841$	−6.37781	+	4.63375i	−0.219924	+	0.159784i
$842$	9.47323	−	29.1556i	0.326469	−	1.00477i
$843$	−61.6332			−2.12276
$844$	−1.92144	+	5.91360i	−0.0661389	+	0.203554i
$845$	6.14336	+	6.78743i	0.211338	+	0.233495i
$846$	8.62999	+	26.5604i	0.296705	+	0.913165i
$847$	−8.99328	−	27.6785i	−0.309013	−	0.951043i
$848$	−2.04367	−	1.48482i	−0.0701800	−	0.0509888i
$849$	6.11566			0.209889
$850$	3.79993	+	1.66829i	0.130336	+	0.0572219i
$851$	−3.30297			−0.113224
$852$	−2.18917	−	1.59053i	−0.0749997	−	0.0544905i
$853$	−6.30055	−	19.3911i	−0.215727	−	0.663939i	−0.999101	−	0.0423888i	$-0.986503\pi$
$853$	−6.30055	−	19.3911i	−0.215727	−	0.663939i	0.783374	−	0.621550i	$-0.213497\pi$
$854$	0.283657	+	0.873005i	0.00970653	+	0.0298736i
$855$	−8.33722	−	1.74956i	−0.285127	−	0.0598336i
$856$	4.26608	−	13.1297i	0.145812	−	0.448762i
$857$	25.6817			0.877269			0.438635	−	0.898666i	$-0.355462\pi$
$857$	25.6817			0.877269			0.438635	+	0.898666i	$0.355462\pi$
$858$	12.7849	−	39.3480i	0.436470	−	1.34332i
$859$	22.8614	−	16.6097i	0.780019	−	0.566717i	−0.124965	−	0.992161i	$-0.539882\pi$
$859$	22.8614	−	16.6097i	0.780019	−	0.566717i	0.904985	+	0.425444i	$0.139882\pi$
$860$	2.62789	+	0.551461i	0.0896103	+	0.0188046i
$861$	−4.71378	−	3.42476i	−0.160645	−	0.116715i
$862$	28.9244	−	21.0148i	0.985169	−	0.715767i
$863$	−2.54695	+	1.85047i	−0.0866993	+	0.0629908i	−0.630291	−	0.776359i	$-0.717064\pi$
$863$	−2.54695	+	1.85047i	−0.0866993	+	0.0629908i	0.543591	+	0.839350i	$0.317064\pi$
$864$	−1.70947	−	1.24200i	−0.0581573	−	0.0422538i
$865$	−14.3048	+	6.41339i	−0.486378	+	0.218062i
$866$	21.7722	−	15.8184i	0.739850	−	0.537533i
$867$	13.1532	−	40.4813i	0.446705	−	1.37482i
$868$	−5.42970			−0.184296
$869$	3.38523	−	10.4187i	0.114836	−	0.353429i
$870$	17.6392	−	30.7358i	0.598026	−	1.04204i
$871$	12.1571	+	37.4157i	0.411928	+	1.26778i
$872$	2.45593	+	7.55858i	0.0831683	+	0.255966i
$873$	40.3854	+	29.3417i	1.36684	+	0.993066i
$874$	0.514091			0.0173894
$875$	18.8899	−	0.146878i	0.638595	−	0.00496539i
$876$	−39.4381			−1.33249
$877$	17.1204	+	12.4387i	0.578116	+	0.420026i	0.838044	−	0.545602i	$-0.183699\pi$
$877$	17.1204	+	12.4387i	0.578116	+	0.420026i	−0.259929	+	0.965628i	$0.583699\pi$
$878$	−6.59048	−	20.2834i	−0.222418	−	0.684532i
$879$	−26.0137	−	80.0619i	−0.877420	−	2.70042i
$880$	5.91307	−	10.3033i	0.199330	−	0.347325i
$881$	1.72037	−	5.29476i	0.0579608	−	0.178385i	−0.917885	−	0.396848i	$-0.870104\pi$
$881$	1.72037	−	5.29476i	0.0579608	−	0.178385i	0.975845	+	0.218463i	$0.0701042\pi$
$882$	15.7921			0.531747
$883$	−2.70922	+	8.33813i	−0.0911726	+	0.280600i	−0.986237	−	0.165336i	$-0.947129\pi$
$883$	−2.70922	+	8.33813i	−0.0911726	+	0.280600i	0.895065	+	0.445936i	$0.147129\pi$
$884$	2.00390	−	1.45592i	0.0673984	−	0.0489678i
$885$	38.0696	−	17.0680i	1.27970	−	0.573736i
$886$	23.7338	+	17.2436i	0.797353	+	0.579311i
$887$	−11.8743	+	8.62716i	−0.398699	+	0.289672i	−0.769011	−	0.639236i	$-0.779251\pi$
$887$	−11.8743	+	8.62716i	−0.398699	+	0.289672i	0.370312	+	0.928907i	$0.379251\pi$
$888$	13.5640	−	9.85479i	0.455177	−	0.330705i
$889$	−5.81256	−	4.22307i	−0.194947	−	0.141637i
$890$	10.2760	+	2.15641i	0.344453	+	0.0722831i
$891$	25.4236	−	18.4713i	0.851724	−	0.618813i
$892$	8.31980	−	25.6057i	0.278567	−	0.857342i
$893$	7.33051			0.245306
$894$	0.496974	−	1.52953i	0.0166213	−	0.0511551i
$895$	−9.79638	−	2.05576i	−0.327457	−	0.0687166i
$896$	0.522120	+	1.60692i	0.0174428	+	0.0536834i
$897$	−1.23716	−	3.80758i	−0.0413075	−	0.127131i
$898$	−24.8977	−	18.0893i	−0.830848	−	0.603647i
$899$	19.5166			0.650914
$900$	−1.89290	+	18.9544i	−0.0630967	+	0.631812i
$901$	−2.09669			−0.0698508
$902$	5.67976	+	4.12658i	0.189115	+	0.137400i
$903$	1.63612	+	5.03546i	0.0544467	+	0.167570i
$904$	4.44594	+	13.6832i	0.147870	+	0.455096i
$905$	1.66046	+	1.83454i	0.0551954	+	0.0609822i
$906$	2.22954	−	6.86183i	0.0740716	−	0.227969i
$907$	47.2106			1.56760			0.783801	−	0.621013i	$-0.213278\pi$
$907$	47.2106			1.56760			0.783801	+	0.621013i	$0.213278\pi$
$908$	−1.31229	+	4.03880i	−0.0435497	+	0.134032i
$909$	6.91533	−	5.02428i	0.229367	−	0.166645i
$910$	5.61210	−	9.77889i	0.186039	−	0.324167i
$911$	−28.4501	−	20.6702i	−0.942593	−	0.684834i	0.00645012	−	0.999979i	$-0.497947\pi$
$911$	−28.4501	−	20.6702i	−0.942593	−	0.684834i	−0.949044	+	0.315145i	$0.897947\pi$
$912$	−2.11117	+	1.53385i	−0.0699077	+	0.0507909i
$913$	−15.0691	+	10.9483i	−0.498714	+	0.362337i
$914$	−7.50686	−	5.45405i	−0.248305	−	0.180404i
$915$	2.12731	+	2.35034i	0.0703266	+	0.0776997i
$916$	−6.44744	+	4.68434i	−0.213029	+	0.154775i
$917$	2.66511	−	8.20236i	0.0880096	−	0.270866i
$918$	−1.75381			−0.0578845
$919$	−9.84027	+	30.2852i	−0.324600	+	0.999017i	0.647020	+	0.762473i	$0.276015\pi$
$919$	−9.84027	+	30.2852i	−0.324600	+	0.999017i	−0.971621	+	0.236545i	$0.923985\pi$
$920$	−0.123123	−	1.14293i	−0.00405923	−	0.0376813i
$921$	5.97020	+	18.3744i	0.196725	+	0.605456i
$922$	3.93549	+	12.1122i	0.129608	+	0.398893i
$923$	2.50353	+	1.81892i	0.0824046	+	0.0598705i
$924$	23.4243			0.770602
$925$	−29.4144	−	12.9138i	−0.967138	−	0.424605i
$926$	29.5609			0.971432
$927$	47.1831	+	34.2805i	1.54970	+	1.12592i
$928$	−1.87671	−	5.77593i	−0.0616061	−	0.189604i
$929$	−12.9622	−	39.8934i	−0.425275	−	1.30886i	−0.902731	−	0.430206i	$-0.858441\pi$
$929$	−12.9622	−	39.8934i	−0.425275	−	1.30886i	0.477456	−	0.878656i	$-0.341559\pi$
$930$	−17.1106	+	7.67133i	−0.561079	+	0.251553i
$931$	1.28094	−	3.94232i	0.0419810	−	0.129204i
$932$	−26.1050			−0.855096
$933$	9.80732	−	30.1838i	0.321077	−	0.988174i
$934$	1.15370	−	0.838209i	0.0377501	−	0.0274270i
$935$	−1.05607	−	9.80331i	−0.0345370	−	0.320603i
$936$	9.19791	+	6.68268i	0.300643	+	0.218430i
$937$	25.8132	−	18.7544i	0.843279	−	0.612678i	−0.0800055	−	0.996794i	$-0.525494\pi$
$937$	25.8132	−	18.7544i	0.843279	−	0.612678i	0.923285	+	0.384116i	$0.125494\pi$
$938$	−18.0200	+	13.0923i	−0.588375	+	0.427479i
$939$	−3.15752	−	2.29407i	−0.103042	−	0.0748642i
$940$	−1.75562	−	16.2972i	−0.0572622	−	0.531557i
$941$	−6.14629	+	4.46554i	−0.200363	+	0.145572i	−0.683443	−	0.730004i	$-0.739518\pi$
$941$	−6.14629	+	4.46554i	−0.200363	+	0.145572i	0.483080	+	0.875576i	$0.339518\pi$
$942$	8.67771	−	26.7072i	0.282735	−	0.870169i
$943$	0.679358			0.0221229
$944$	2.20945	−	6.79998i	0.0719114	−	0.221320i
$945$	−7.28457	+	3.26595i	−0.236967	+	0.106241i
$946$	−1.97140	−	6.06736i	−0.0640959	−	0.197267i
$947$	15.2697	+	46.9952i	0.496198	+	1.52714i	0.815082	+	0.579346i	$0.196692\pi$
$947$	15.2697	+	46.9952i	0.496198	+	1.52714i	−0.318884	+	0.947794i	$0.603308\pi$
$948$	4.35327	+	3.16283i	0.141388	+	0.102724i
$949$	45.1013			1.46405
$950$	4.57821	+	2.00998i	0.148537	+	0.0652123i
$951$	70.2542			2.27815
$952$	1.13455	+	0.824302i	0.0367711	+	0.0267158i
$953$	6.50377	+	20.0165i	0.210678	+	0.648399i	0.999432	+	0.0336912i	$0.0107263\pi$
$953$	6.50377	+	20.0165i	0.210678	+	0.648399i	−0.788755	+	0.614708i	$0.789274\pi$
$954$	−2.97392	−	9.15280i	−0.0962844	−	0.296333i
$955$	−6.48395	−	60.1896i	−0.209816	−	1.94769i
$956$	9.04942	−	27.8512i	0.292679	−	0.900774i
$957$	−84.1964			−2.72168
$958$	−7.97883	+	24.5563i	−0.257784	+	0.793378i
$959$	−26.6303	+	19.3480i	−0.859937	+	0.624781i
$960$	3.91568	+	4.32621i	0.126378	+	0.139628i
$961$	16.7248	+	12.1513i	0.539509	+	0.391976i
$962$	−15.5117	+	11.2699i	−0.500117	+	0.363357i
$963$	42.5499	−	30.9143i	1.37115	−	0.996200i
$964$	18.7442	+	13.6185i	0.603710	+	0.438621i
$965$	−4.56222	+	7.94950i	−0.146863	+	0.255903i
$966$	1.83379	−	1.33233i	0.0590014	−	0.0428670i
$967$	−0.585050	+	1.80060i	−0.0188139	+	0.0579033i	−0.960023	−	0.279922i	$-0.909691\pi$
$967$	−0.585050	+	1.80060i	−0.0188139	+	0.0579033i	0.941209	+	0.337825i	$0.109691\pi$
$968$	−17.2245			−0.553618
$969$	−0.669310	+	2.05992i	−0.0215013	+	0.0661743i
$970$	−19.6615	−	21.7228i	−0.631291	−	0.697476i
$971$	8.33136	+	25.6413i	0.267366	+	0.822868i	0.991139	+	0.132830i	$0.0424063\pi$
$971$	8.33136	+	25.6413i	0.267366	+	0.822868i	−0.723773	+	0.690038i	$0.757594\pi$
$972$	6.72883	+	20.7092i	0.215827	+	0.664248i
$973$	−21.7746	−	15.8202i	−0.698062	−	0.507172i
$974$	27.1320			0.869364
$975$	3.86934	−	38.7452i	0.123918	−	1.24084i
$976$	0.543279			0.0173899
$977$	13.0056	+	9.44910i	0.416085	+	0.302303i	0.776061	−	0.630658i	$-0.217215\pi$
$977$	13.0056	+	9.44910i	0.416085	+	0.302303i	−0.359976	+	0.932962i	$0.617215\pi$
$978$	−10.8190	−	33.2974i	−0.345953	−	1.06473i
$979$	−7.70891	−	23.7256i	−0.246378	−	0.758273i
$980$	−9.07136	−	1.90362i	−0.289774	−	0.0608088i
$981$	−9.35643	+	28.7961i	−0.298728	+	0.919389i
$982$	−41.5702			−1.32656
$983$	4.03444	−	12.4167i	0.128679	−	0.396033i	−0.865875	−	0.500261i	$-0.833237\pi$
$983$	4.03444	−	12.4167i	0.128679	−	0.396033i	0.994553	+	0.104229i	$0.0332373\pi$
$984$	−2.78985	+	2.02695i	−0.0889372	+	0.0646167i
$985$	51.3449	+	10.7747i	1.63598	+	0.343310i
$986$	−4.07805	−	2.96288i	−0.129872	−	0.0943573i
$987$	26.1484	−	18.9979i	0.832312	−	0.604710i
$988$	2.41432	−	1.75411i	0.0768099	−	0.0558056i
$989$	−0.499434	−	0.362860i	−0.0158811	−	0.0115383i
$990$	41.2971	−	18.5151i	1.31251	−	0.588447i
$991$	28.8407	−	20.9540i	0.916155	−	0.665626i	−0.0264087	−	0.999651i	$-0.508407\pi$
$991$	28.8407	−	20.9540i	0.916155	−	0.665626i	0.942564	+	0.334025i	$0.108407\pi$
$992$	−0.993049	+	3.05629i	−0.0315293	+	0.0970373i
$993$	46.9428			1.48969
$994$	−0.541411	+	1.66629i	−0.0171725	+	0.0528516i
$995$	3.56153	−	6.20583i	0.112908	−	0.196738i
$996$	−2.82724	−	8.70136i	−0.0895847	−	0.275713i
$997$	−16.8177	−	51.7596i	−0.532622	−	1.63924i	−0.748732	−	0.662873i	$-0.769337\pi$
$997$	−16.8177	−	51.7596i	−0.532622	−	1.63924i	0.216110	−	0.976369i	$-0.430663\pi$
$998$	15.6417	+	11.3644i	0.495129	+	0.359732i
$999$	13.5759			0.429521

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.h.d.191.2	✓	44
25.11	even	5	inner	950.2.h.d.761.2	yes	44

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.h.d.191.2	✓	44	1.1	even	1	trivial
950.2.h.d.761.2	yes	44	25.11	even	5	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	950.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.809017 + 0.587785i) q^{2} +(-0.806394 - 2.48183i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.11301 - 1.93938i) q^{5} +(0.806394 - 2.48183i) q^{6} -1.68962 q^{7} +(-0.309017 + 0.951057i) q^{8} +(-3.08213 + 2.23930i) q^{9} +O(q^{10})\)	\(q+(0.809017 + 0.587785i) q^{2} +(-0.806394 - 2.48183i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.11301 - 1.93938i) q^{5} +(0.806394 - 2.48183i) q^{6} -1.68962 q^{7} +(-0.309017 + 0.951057i) q^{8} +(-3.08213 + 2.23930i) q^{9} +(2.04039 - 0.914782i) q^{10} +(-4.29805 - 3.12271i) q^{11} +(2.11117 - 1.53385i) q^{12} +(-2.41432 + 1.75411i) q^{13} +(-1.36693 - 0.993131i) q^{14} +(-5.71073 - 1.19839i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-0.256485 + 0.789380i) q^{17} -3.80973 q^{18} +(-0.309017 + 0.951057i) q^{19} +(2.18840 + 0.459234i) q^{20} +(1.36250 + 4.19333i) q^{21} +(-1.64171 - 5.05266i) q^{22} +(-0.415909 - 0.302175i) q^{23} +2.60955 q^{24} +(-2.52241 - 4.31711i) q^{25} -2.98427 q^{26} +(1.70947 + 1.24200i) q^{27} +(-0.522120 - 1.60692i) q^{28} +(1.87671 + 5.77593i) q^{29} +(-3.91568 - 4.32621i) q^{30} +(0.993049 - 3.05629i) q^{31} -1.00000 q^{32} +(-4.28411 + 13.1851i) q^{33} +(-0.671487 + 0.487864i) q^{34} +(-1.88056 + 3.27681i) q^{35} +(-3.08213 - 2.23930i) q^{36} +(5.19782 - 3.77644i) q^{37} +(-0.809017 + 0.587785i) q^{38} +(6.30029 + 4.57743i) q^{39} +(1.50052 + 1.65784i) q^{40} +(-1.06909 + 0.776743i) q^{41} +(-1.36250 + 4.19333i) q^{42} +1.20083 q^{43} +(1.64171 - 5.05266i) q^{44} +(0.912413 + 8.46981i) q^{45} +(-0.158863 - 0.488930i) q^{46} +(-2.26525 - 6.97173i) q^{47} +(2.11117 + 1.53385i) q^{48} -4.14520 q^{49} +(0.496860 - 4.97525i) q^{50} +2.16593 q^{51} +(-2.41432 - 1.75411i) q^{52} +(0.780613 + 2.40248i) q^{53} +(0.652959 + 2.00960i) q^{54} +(-10.8399 + 4.85994i) q^{55} +(0.522120 - 1.60692i) q^{56} +2.60955 q^{57} +(-1.87671 + 5.77593i) q^{58} +(-5.78441 + 4.20262i) q^{59} +(-0.624975 - 5.80156i) q^{60} +(-0.439522 - 0.319331i) q^{61} +(2.59984 - 1.88889i) q^{62} +(5.20762 - 3.78356i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(0.714719 + 6.63464i) q^{65} +(-11.2159 + 8.14886i) q^{66} +(4.07373 - 12.5377i) q^{67} -0.830003 q^{68} +(-0.414560 + 1.27588i) q^{69} +(-3.44747 + 1.54563i) q^{70} +(-0.320435 - 0.986196i) q^{71} +(-1.17727 - 3.62327i) q^{72} +(-12.2267 - 8.88321i) q^{73} +6.42486 q^{74} +(-8.68025 + 9.74148i) q^{75} -1.00000 q^{76} +(7.26205 + 5.27619i) q^{77} +(2.40650 + 7.40643i) q^{78} +(0.637199 + 1.96110i) q^{79} +(0.239496 + 2.22321i) q^{80} +(-1.82788 + 5.62565i) q^{81} -1.32147 q^{82} +(1.08342 - 3.33444i) q^{83} +(-3.56706 + 2.59162i) q^{84} +(1.24544 + 1.37601i) q^{85} +(0.971489 + 0.705828i) q^{86} +(12.8215 - 9.31535i) q^{87} +(4.29805 - 3.12271i) q^{88} +(3.79888 + 2.76004i) q^{89} +(-4.24027 + 7.38852i) q^{90} +(4.07928 - 2.96377i) q^{91} +(0.158863 - 0.488930i) q^{92} -8.38597 q^{93} +(2.26525 - 6.97173i) q^{94} +(1.50052 + 1.65784i) q^{95} +(0.806394 + 2.48183i) q^{96} +(-4.04907 - 12.4618i) q^{97} +(-3.35354 - 2.43649i) q^{98} +20.2399 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 44 q + 11 q^{2} - q^{3} - 11 q^{4} - 11 q^{5} + q^{6} - 10 q^{7} + 11 q^{8}+O(q^{10}) \) 44 * q + 11 * q^2 - q^3 - 11 * q^4 - 11 * q^5 + q^6 - 10 * q^7 + 11 * q^8	\( 44 q + 11 q^{2} - q^{3} - 11 q^{4} - 11 q^{5} + q^{6} - 10 q^{7} + 11 q^{8} - 4 q^{10} + 7 q^{11} + 4 q^{12} + 10 q^{13} - 5 q^{14} - 20 q^{15} - 11 q^{16} + 11 q^{17} - 50 q^{18} + 11 q^{19} + 4 q^{20} + 9 q^{21} + 8 q^{22} - 7 q^{23} + 6 q^{24} - 3 q^{25} + 10 q^{26} + 5 q^{27} - 20 q^{29} - 10 q^{30} - 11 q^{31} - 44 q^{32} - 2 q^{33} - q^{34} + 5 q^{35} + 43 q^{37} - 11 q^{38} - 33 q^{39} - 4 q^{40} - 32 q^{41} - 9 q^{42} - 74 q^{43} - 8 q^{44} + 10 q^{45} - 8 q^{46} - 19 q^{47} + 4 q^{48} + 54 q^{49} + 18 q^{50} + 34 q^{51} + 10 q^{52} + 23 q^{53} - 40 q^{54} + 2 q^{55} + 6 q^{57} + 20 q^{58} + 24 q^{59} - 35 q^{60} - 12 q^{61} + q^{62} - 44 q^{63} - 11 q^{64} + 43 q^{65} - 8 q^{66} + 35 q^{67} - 24 q^{68} + 29 q^{69} - 5 q^{70} - 2 q^{71} + 25 q^{72} + 22 q^{73} + 72 q^{74} + 7 q^{75} - 44 q^{76} - 3 q^{77} - 22 q^{78} - 19 q^{79} - q^{80} - 26 q^{81} - 58 q^{82} - 24 q^{83} - 21 q^{84} - 18 q^{85} - 6 q^{86} + 83 q^{87} - 7 q^{88} - 8 q^{89} + 60 q^{90} - 30 q^{91} + 8 q^{92} - 72 q^{93} + 19 q^{94} - 4 q^{95} + q^{96} - 16 q^{97} + q^{98} + 84 q^{99}+O(q^{100}) \) 44 * q + 11 * q^2 - q^3 - 11 * q^4 - 11 * q^5 + q^6 - 10 * q^7 + 11 * q^8 - 4 * q^10 + 7 * q^11 + 4 * q^12 + 10 * q^13 - 5 * q^14 - 20 * q^15 - 11 * q^16 + 11 * q^17 - 50 * q^18 + 11 * q^19 + 4 * q^20 + 9 * q^21 + 8 * q^22 - 7 * q^23 + 6 * q^24 - 3 * q^25 + 10 * q^26 + 5 * q^27 - 20 * q^29 - 10 * q^30 - 11 * q^31 - 44 * q^32 - 2 * q^33 - q^34 + 5 * q^35 + 43 * q^37 - 11 * q^38 - 33 * q^39 - 4 * q^40 - 32 * q^41 - 9 * q^42 - 74 * q^43 - 8 * q^44 + 10 * q^45 - 8 * q^46 - 19 * q^47 + 4 * q^48 + 54 * q^49 + 18 * q^50 + 34 * q^51 + 10 * q^52 + 23 * q^53 - 40 * q^54 + 2 * q^55 + 6 * q^57 + 20 * q^58 + 24 * q^59 - 35 * q^60 - 12 * q^61 + q^62 - 44 * q^63 - 11 * q^64 + 43 * q^65 - 8 * q^66 + 35 * q^67 - 24 * q^68 + 29 * q^69 - 5 * q^70 - 2 * q^71 + 25 * q^72 + 22 * q^73 + 72 * q^74 + 7 * q^75 - 44 * q^76 - 3 * q^77 - 22 * q^78 - 19 * q^79 - q^80 - 26 * q^81 - 58 * q^82 - 24 * q^83 - 21 * q^84 - 18 * q^85 - 6 * q^86 + 83 * q^87 - 7 * q^88 - 8 * q^89 + 60 * q^90 - 30 * q^91 + 8 * q^92 - 72 * q^93 + 19 * q^94 - 4 * q^95 + q^96 - 16 * q^97 + q^98 + 84 * q^99

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