LMFDB - Embedded newform 950.2.h.e.381.5

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			381.5
Character	$\chi$	$=$	950.381
Dual form			950.2.h.e.571.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 - 0.951057i) q^{2} +(-0.444175 + 0.322712i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.351941 + 2.20820i) q^{5} +(0.444175 + 0.322712i) q^{6} +4.87281 q^{7} +(0.809017 + 0.587785i) q^{8} +(-0.833903 + 2.56649i) q^{9} +O(q^{10})$	\(q+(-0.309017 - 0.951057i) q^{2} +(-0.444175 + 0.322712i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.351941 + 2.20820i) q^{5} +(0.444175 + 0.322712i) q^{6} +4.87281 q^{7} +(0.809017 + 0.587785i) q^{8} +(-0.833903 + 2.56649i) q^{9} +(2.20888 - 0.347655i) q^{10} +(0.198827 + 0.611926i) q^{11} +(0.169660 - 0.522159i) q^{12} +(-0.844486 + 2.59906i) q^{13} +(-1.50578 - 4.63431i) q^{14} +(-0.556289 - 1.09440i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-2.11016 - 1.53312i) q^{17} +2.69857 q^{18} +(-0.809017 - 0.587785i) q^{19} +(-1.01322 - 1.99334i) q^{20} +(-2.16438 + 1.57251i) q^{21} +(0.520535 - 0.378191i) q^{22} +(1.00848 + 3.10379i) q^{23} -0.549031 q^{24} +(-4.75228 - 1.55431i) q^{25} +2.73281 q^{26} +(-0.966818 - 2.97556i) q^{27} +(-3.94218 + 2.86416i) q^{28} +(-4.84526 + 3.52029i) q^{29} +(-0.868936 + 0.867251i) q^{30} +(-2.95023 - 2.14347i) q^{31} -1.00000 q^{32} +(-0.285790 - 0.207638i) q^{33} +(-0.806010 + 2.48064i) q^{34} +(-1.71494 + 10.7601i) q^{35} +(-0.833903 - 2.56649i) q^{36} +(-0.434036 + 1.33583i) q^{37} +(-0.309017 + 0.951057i) q^{38} +(-0.463649 - 1.42696i) q^{39} +(-1.58267 + 1.57960i) q^{40} +(0.454904 - 1.40005i) q^{41} +(2.16438 + 1.57251i) q^{42} +4.74769 q^{43} +(-0.520535 - 0.378191i) q^{44} +(-5.37383 - 2.74467i) q^{45} +(2.64024 - 1.91825i) q^{46} +(4.24706 - 3.08567i) q^{47} +(0.169660 + 0.522159i) q^{48} +16.7442 q^{49} +(-0.00970328 + 4.99999i) q^{50} +1.43204 q^{51} +(-0.844486 - 2.59906i) q^{52} +(-11.7103 + 8.50801i) q^{53} +(-2.53116 + 1.83900i) q^{54} +(-1.42123 + 0.223687i) q^{55} +(3.94218 + 2.86416i) q^{56} +0.549031 q^{57} +(4.84526 + 3.52029i) q^{58} +(-1.15487 + 3.55432i) q^{59} +(1.09332 + 0.558412i) q^{60} +(2.54113 + 7.82078i) q^{61} +(-1.12689 + 3.46821i) q^{62} +(-4.06345 + 12.5060i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-5.44203 - 2.77951i) q^{65} +(-0.109162 + 0.335966i) q^{66} +(8.60947 + 6.25514i) q^{67} +2.60830 q^{68} +(-1.44957 - 1.05318i) q^{69} +(10.7634 - 1.69406i) q^{70} +(0.817262 - 0.593776i) q^{71} +(-2.18319 + 1.58618i) q^{72} +(1.90343 + 5.85817i) q^{73} +1.40457 q^{74} +(2.61244 - 0.843231i) q^{75} +1.00000 q^{76} +(0.968844 + 2.98179i) q^{77} +(-1.21385 + 0.881912i) q^{78} +(8.43136 - 6.12574i) q^{79} +(1.99137 + 1.01709i) q^{80} +(-5.15987 - 3.74887i) q^{81} -1.47210 q^{82} +(-2.24738 - 1.63282i) q^{83} +(0.826719 - 2.54438i) q^{84} +(4.12809 - 4.12008i) q^{85} +(-1.46712 - 4.51532i) q^{86} +(1.01611 - 3.12725i) q^{87} +(-0.198827 + 0.611926i) q^{88} +(0.558674 + 1.71942i) q^{89} +(-0.949736 + 5.95897i) q^{90} +(-4.11502 + 12.6647i) q^{91} +(-2.64024 - 1.91825i) q^{92} +2.00214 q^{93} +(-4.24706 - 3.08567i) q^{94} +(1.58267 - 1.57960i) q^{95} +(0.444175 - 0.322712i) q^{96} +(-0.463655 + 0.336865i) q^{97} +(-5.17425 - 15.9247i) q^{98} -1.73630 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 44 q + 11 q^{2} - q^{3} - 11 q^{4} - 5 q^{5} + q^{6} + 28 q^{7} + 11 q^{8} - 8 q^{9}+O(q^{10}) $ 44 * q + 11 * q^2 - q^3 - 11 * q^4 - 5 * q^5 + q^6 + 28 * q^7 + 11 * q^8 - 8 * q^9	$ 44 q + 11 q^{2} - q^{3} - 11 q^{4} - 5 q^{5} + q^{6} + 28 q^{7} + 11 q^{8} - 8 q^{9} + 5 q^{10} - 6 q^{12} - 10 q^{13} + 12 q^{14} - 11 q^{16} - 20 q^{17} - 42 q^{18} - 11 q^{19} + 5 q^{20} - 3 q^{21} - 10 q^{22} - 6 q^{23} - 14 q^{24} - 15 q^{25} - 40 q^{26} + 5 q^{27} - 2 q^{28} + 6 q^{29} - 5 q^{31} - 44 q^{32} - 36 q^{33} - 10 q^{34} - 8 q^{36} - 10 q^{37} + 11 q^{38} + 39 q^{39} - 22 q^{41} + 3 q^{42} + 68 q^{43} + 10 q^{44} + 20 q^{45} + 6 q^{46} + 19 q^{47} - 6 q^{48} + 40 q^{49} - 30 q^{50} + 86 q^{51} - 10 q^{52} + 30 q^{54} + 2 q^{56} + 14 q^{57} - 6 q^{58} - 4 q^{59} + 15 q^{60} + 26 q^{61} - 15 q^{62} - 41 q^{63} - 11 q^{64} + 30 q^{65} - 4 q^{66} - 59 q^{67} + 20 q^{68} - 59 q^{69} - 25 q^{70} + 30 q^{71} + 13 q^{72} - 38 q^{73} - 50 q^{74} - 15 q^{75} + 44 q^{76} + 29 q^{77} + 16 q^{78} + 3 q^{79} + 5 q^{80} - 54 q^{81} - 8 q^{82} + 9 q^{83} + 7 q^{84} + 12 q^{86} - 43 q^{87} + 33 q^{89} - 6 q^{91} - 6 q^{92} + 84 q^{93} - 19 q^{94} + q^{96} + 30 q^{97} - 15 q^{98} - 54 q^{99}+O(q^{100}) $ 44 * q + 11 * q^2 - q^3 - 11 * q^4 - 5 * q^5 + q^6 + 28 * q^7 + 11 * q^8 - 8 * q^9 + 5 * q^10 - 6 * q^12 - 10 * q^13 + 12 * q^14 - 11 * q^16 - 20 * q^17 - 42 * q^18 - 11 * q^19 + 5 * q^20 - 3 * q^21 - 10 * q^22 - 6 * q^23 - 14 * q^24 - 15 * q^25 - 40 * q^26 + 5 * q^27 - 2 * q^28 + 6 * q^29 - 5 * q^31 - 44 * q^32 - 36 * q^33 - 10 * q^34 - 8 * q^36 - 10 * q^37 + 11 * q^38 + 39 * q^39 - 22 * q^41 + 3 * q^42 + 68 * q^43 + 10 * q^44 + 20 * q^45 + 6 * q^46 + 19 * q^47 - 6 * q^48 + 40 * q^49 - 30 * q^50 + 86 * q^51 - 10 * q^52 + 30 * q^54 + 2 * q^56 + 14 * q^57 - 6 * q^58 - 4 * q^59 + 15 * q^60 + 26 * q^61 - 15 * q^62 - 41 * q^63 - 11 * q^64 + 30 * q^65 - 4 * q^66 - 59 * q^67 + 20 * q^68 - 59 * q^69 - 25 * q^70 + 30 * q^71 + 13 * q^72 - 38 * q^73 - 50 * q^74 - 15 * q^75 + 44 * q^76 + 29 * q^77 + 16 * q^78 + 3 * q^79 + 5 * q^80 - 54 * q^81 - 8 * q^82 + 9 * q^83 + 7 * q^84 + 12 * q^86 - 43 * q^87 + 33 * q^89 - 6 * q^91 - 6 * q^92 + 84 * q^93 - 19 * q^94 + q^96 + 30 * q^97 - 15 * q^98 - 54 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{2}{5}\right)$	$1$

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 $

$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$3$	−0.444175	+	0.322712i	−0.256445	+	0.186318i	−0.708578	−	0.705632i	$-0.750663\pi$
$3$	−0.444175	+	0.322712i	−0.256445	+	0.186318i	0.452134	+	0.891950i	$0.350663\pi$
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	−0.351941	+	2.20820i	−0.157393	+	0.987536i
$5$	−0.351941	+	2.20820i	−0.157393	+	0.987536i
$6$	0.444175	+	0.322712i	0.181334	+	0.131747i
$7$	4.87281			1.84175			0.920874	−	0.389861i	$-0.127477\pi$
$7$	4.87281			1.84175			0.920874	+	0.389861i	$0.127477\pi$
$8$	0.809017	+	0.587785i	0.286031	+	0.207813i
$9$	−0.833903	+	2.56649i	−0.277968	+	0.855496i
$10$	2.20888	−	0.347655i	0.698508	−	0.109938i
$11$	0.198827	+	0.611926i	0.0599485	+	0.184503i	0.976546	−	0.215309i	$-0.0690757\pi$
$11$	0.198827	+	0.611926i	0.0599485	+	0.184503i	−0.916598	+	0.399811i	$0.869076\pi$
$12$	0.169660	−	0.522159i	0.0489766	−	0.150734i
$13$	−0.844486	+	2.59906i	−0.234218	+	0.720850i	0.763006	+	0.646392i	$0.223723\pi$
$13$	−0.844486	+	2.59906i	−0.234218	+	0.720850i	−0.997224	+	0.0744582i	$0.976277\pi$
$14$	−1.50578	−	4.63431i	−0.402437	−	1.23857i
$15$	−0.556289	−	1.09440i	−0.143633	−	0.282573i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−2.11016	−	1.53312i	−0.511789	−	0.371837i	0.301713	−	0.953399i	$-0.402442\pi$
$17$	−2.11016	−	1.53312i	−0.511789	−	0.371837i	−0.813502	+	0.581562i	$0.802442\pi$
$18$	2.69857			0.636058
$19$	−0.809017	−	0.587785i	−0.185601	−	0.134847i
$19$	−0.809017	−	0.587785i	−0.185601	−	0.134847i
$20$	−1.01322	−	1.99334i	−0.226563	−	0.445723i
$21$	−2.16438	+	1.57251i	−0.472306	+	0.343151i
$22$	0.520535	−	0.378191i	0.110978	−	0.0806306i
$23$	1.00848	+	3.10379i	0.210283	+	0.647185i	0.999455	+	0.0330125i	$0.0105101\pi$
$23$	1.00848	+	3.10379i	0.210283	+	0.647185i	−0.789172	+	0.614173i	$0.789490\pi$
$24$	−0.549031			−0.112070
$25$	−4.75228	−	1.55431i	−0.950455	−	0.310862i
$26$	2.73281			0.535949
$27$	−0.966818	−	2.97556i	−0.186064	−	0.572646i
$28$	−3.94218	+	2.86416i	−0.745003	+	0.541276i
$29$	−4.84526	+	3.52029i	−0.899743	+	0.653701i	−0.938400	−	0.345551i	$-0.887692\pi$
$29$	−4.84526	+	3.52029i	−0.899743	+	0.653701i	0.0386572	+	0.999253i	$0.487692\pi$
$30$	−0.868936	+	0.867251i	−0.158645	+	0.158338i
$31$	−2.95023	−	2.14347i	−0.529878	−	0.384979i	0.290434	−	0.956895i	$-0.406200\pi$
$31$	−2.95023	−	2.14347i	−0.529878	−	0.384979i	−0.820312	+	0.571916i	$0.806200\pi$
$32$	−1.00000			−0.176777
$33$	−0.285790	−	0.207638i	−0.0497496	−	0.0361452i
$34$	−0.806010	+	2.48064i	−0.138229	+	0.425427i
$35$	−1.71494	+	10.7601i	−0.289878	+	1.81879i
$36$	−0.833903	−	2.56649i	−0.138984	−	0.427748i
$37$	−0.434036	+	1.33583i	−0.0713551	+	0.219608i	−0.980374	−	0.197146i	$-0.936833\pi$
$37$	−0.434036	+	1.33583i	−0.0713551	+	0.219608i	0.909019	+	0.416755i	$0.136833\pi$
$38$	−0.309017	+	0.951057i	−0.0501292	+	0.154282i
$39$	−0.463649	−	1.42696i	−0.0742432	−	0.228497i
$40$	−1.58267	+	1.57960i	−0.250242	+	0.249757i
$41$	0.454904	−	1.40005i	0.0710441	−	0.218651i	−0.909230	−	0.416294i	$-0.863329\pi$
$41$	0.454904	−	1.40005i	0.0710441	−	0.218651i	0.980274	+	0.197643i	$0.0633286\pi$
$42$	2.16438	+	1.57251i	0.333971	+	0.242644i
$43$	4.74769			0.724016			0.362008	−	0.932175i	$-0.382091\pi$
$43$	4.74769			0.724016			0.362008	+	0.932175i	$0.382091\pi$
$44$	−0.520535	−	0.378191i	−0.0784736	−	0.0570144i
$45$	−5.37383	−	2.74467i	−0.801083	−	0.409152i
$46$	2.64024	−	1.91825i	0.389282	−	0.282830i
$47$	4.24706	−	3.08567i	0.619497	−	0.450091i	−0.233249	−	0.972417i	$-0.574936\pi$
$47$	4.24706	−	3.08567i	0.619497	−	0.450091i	0.852746	+	0.522326i	$0.174936\pi$
$48$	0.169660	+	0.522159i	0.0244883	+	0.0753672i
$49$	16.7442			2.39203
$50$	−0.00970328	+	4.99999i	−0.00137225	+	0.707105i
$51$	1.43204			0.200525
$52$	−0.844486	−	2.59906i	−0.117109	−	0.360425i
$53$	−11.7103	+	8.50801i	−1.60853	+	1.16867i	−0.740649	+	0.671892i	$0.765482\pi$
$53$	−11.7103	+	8.50801i	−1.60853	+	1.16867i	−0.867881	+	0.496773i	$0.834518\pi$
$54$	−2.53116	+	1.83900i	−0.344447	+	0.250256i
$55$	−1.42123	+	0.223687i	−0.191638	+	0.0301619i
$56$	3.94218	+	2.86416i	0.526796	+	0.382740i
$57$	0.549031			0.0727209
$58$	4.84526	+	3.52029i	0.636214	+	0.462237i
$59$	−1.15487	+	3.55432i	−0.150351	+	0.462733i	−0.997660	−	0.0683670i	$-0.978221\pi$
$59$	−1.15487	+	3.55432i	−0.150351	+	0.462733i	0.847309	+	0.531100i	$0.178221\pi$
$60$	1.09332	+	0.558412i	0.141147	+	0.0720906i
$61$	2.54113	+	7.82078i	0.325358	+	1.00135i	0.971279	+	0.237944i	$0.0764735\pi$
$61$	2.54113	+	7.82078i	0.325358	+	1.00135i	−0.645921	+	0.763404i	$0.723527\pi$
$62$	−1.12689	+	3.46821i	−0.143115	+	0.440463i
$63$	−4.06345	+	12.5060i	−0.511946	+	1.57561i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	−5.44203	−	2.77951i	−0.675001	−	0.344756i
$66$	−0.109162	+	0.335966i	−0.0134369	+	0.0413545i
$67$	8.60947	+	6.25514i	1.05181	+	0.764187i	0.972557	−	0.232667i	$-0.0747451\pi$
$67$	8.60947	+	6.25514i	1.05181	+	0.764187i	0.0792573	+	0.996854i	$0.474745\pi$
$68$	2.60830			0.316303
$69$	−1.44957	−	1.05318i	−0.174508	−	0.126788i
$70$	10.7634	−	1.69406i	1.28648	−	0.202478i
$71$	0.817262	−	0.593776i	0.0969912	−	0.0704682i	−0.538233	−	0.842796i	$-0.680908\pi$
$71$	0.817262	−	0.593776i	0.0969912	−	0.0704682i	0.635224	+	0.772328i	$0.280908\pi$
$72$	−2.18319	+	1.58618i	−0.257291	+	0.186933i
$73$	1.90343	+	5.85817i	0.222780	+	0.685647i	0.998509	+	0.0545807i	$0.0173822\pi$
$73$	1.90343	+	5.85817i	0.222780	+	0.685647i	−0.775729	+	0.631066i	$0.782618\pi$
$74$	1.40457			0.163278
$75$	2.61244	−	0.843231i	0.301658	−	0.0973679i
$76$	1.00000			0.114708
$77$	0.968844	+	2.98179i	0.110410	+	0.339807i
$78$	−1.21385	+	0.881912i	−0.137441	+	0.0998569i
$79$	8.43136	−	6.12574i	0.948602	−	0.689200i	−0.00187390	−	0.999998i	$-0.500596\pi$
$79$	8.43136	−	6.12574i	0.948602	−	0.689200i	0.950476	+	0.310799i	$0.100596\pi$
$80$	1.99137	+	1.01709i	0.222641	+	0.113714i
$81$	−5.15987	−	3.74887i	−0.573319	−	0.416541i
$82$	−1.47210			−0.162566
$83$	−2.24738	−	1.63282i	−0.246682	−	0.179225i	0.457573	−	0.889172i	$-0.348719\pi$
$83$	−2.24738	−	1.63282i	−0.246682	−	0.179225i	−0.704255	+	0.709947i	$0.748719\pi$
$84$	0.826719	−	2.54438i	0.0902025	−	0.277615i
$85$	4.12809	−	4.12008i	0.447754	−	0.446886i
$86$	−1.46712	−	4.51532i	−0.158203	−	0.486899i
$87$	1.01611	−	3.12725i	0.108938	−	0.335276i
$88$	−0.198827	+	0.611926i	−0.0211950	+	0.0652315i
$89$	0.558674	+	1.71942i	0.0592193	+	0.182258i	0.976290	−	0.216466i	$-0.0694530\pi$
$89$	0.558674	+	1.71942i	0.0592193	+	0.182258i	−0.917071	+	0.398724i	$0.869453\pi$
$90$	−0.949736	+	5.95897i	−0.100111	+	0.628130i
$91$	−4.11502	+	12.6647i	−0.431371	+	1.32762i
$92$	−2.64024	−	1.91825i	−0.275264	−	0.199991i
$93$	2.00214			0.207613
$94$	−4.24706	−	3.08567i	−0.438050	−	0.318262i
$95$	1.58267	−	1.57960i	0.162379	−	0.162064i
$96$	0.444175	−	0.322712i	0.0453334	−	0.0329367i
$97$	−0.463655	+	0.336865i	−0.0470770	+	0.0342034i	−0.611075	−	0.791573i	$-0.709263\pi$
$97$	−0.463655	+	0.336865i	−0.0470770	+	0.0342034i	0.563998	+	0.825776i	$0.309263\pi$
$98$	−5.17425	−	15.9247i	−0.522679	−	1.60864i
$99$	−1.73630			−0.174505
$100$	4.75827	−	1.53585i	0.475827	−	0.153585i
$101$	10.9904			1.09358			0.546791	−	0.837269i	$-0.315849\pi$
$101$	10.9904			1.09358			0.546791	+	0.837269i	$0.315849\pi$
$102$	−0.442524	−	1.36195i	−0.0438164	−	0.134853i
$103$	−12.6951	+	9.22353i	−1.25088	+	0.908821i	−0.998273	−	0.0587468i	$-0.981290\pi$
$103$	−12.6951	+	9.22353i	−1.25088	+	0.908821i	−0.252612	+	0.967568i	$0.581290\pi$
$104$	−2.21089	+	1.60631i	−0.216796	+	0.157511i
$105$	−2.71069	−	5.33281i	−0.264536	−	0.520429i
$106$	11.7103	+	8.50801i	1.13740	+	0.826371i
$107$	−6.09631			−0.589353			−0.294676	−	0.955597i	$-0.595212\pi$
$107$	−6.09631			−0.589353			−0.294676	+	0.955597i	$0.595212\pi$
$108$	2.53116	+	1.83900i	0.243561	+	0.176957i
$109$	5.41492	−	16.6654i	0.518655	−	1.59626i	−0.257877	−	0.966178i	$-0.583023\pi$
$109$	5.41492	−	16.6654i	0.518655	−	1.59626i	0.776532	−	0.630078i	$-0.216977\pi$
$110$	0.651923	+	1.28255i	0.0621584	+	0.122286i
$111$	−0.238299	−	0.733409i	−0.0226184	−	0.0696121i
$112$	1.50578	−	4.63431i	0.142283	−	0.437902i
$113$	0.130590	−	0.401915i	0.0122849	−	0.0378090i	−0.944726	−	0.327860i	$-0.893672\pi$
$113$	0.130590	−	0.401915i	0.0122849	−	0.0378090i	0.957011	+	0.290051i	$0.0936724\pi$
$114$	−0.169660	−	0.522159i	−0.0158901	−	0.0489047i
$115$	−7.20871	+	1.13458i	−0.672216	+	0.105800i
$116$	1.85073	−	5.69595i	0.171836	−	0.528855i
$117$	−5.96624	−	4.33473i	−0.551579	−	0.400746i
$118$	3.73723			0.344040
$119$	−10.2824	−	7.47060i	−0.942586	−	0.684829i
$120$	0.193226	−	1.21237i	0.0176391	−	0.110674i
$121$	8.56427	−	6.22230i	0.778570	−	0.565664i
$122$	6.65275	−	4.83351i	0.602312	−	0.437605i
$123$	0.249756	+	0.768671i	0.0225198	+	0.0693087i
$124$	3.64669			0.327482
$125$	5.10475	−	9.94694i	0.456582	−	0.889681i
$126$	13.1496			1.17146
$127$	−3.58891	−	11.0455i	−0.318464	−	0.980131i	−0.974305	−	0.225232i	$-0.927686\pi$
$127$	−3.58891	−	11.0455i	−0.318464	−	0.980131i	0.655841	−	0.754899i	$-0.272314\pi$
$128$	0.809017	−	0.587785i	0.0715077	−	0.0519534i
$129$	−2.10880	+	1.53214i	−0.185670	+	0.134897i
$130$	−0.961789	+	6.03460i	−0.0843545	+	0.529269i
$131$	13.5125	+	9.81739i	1.18059	+	0.857749i	0.992238	−	0.124352i	$-0.0396853\pi$
$131$	13.5125	+	9.81739i	1.18059	+	0.857749i	0.188352	+	0.982102i	$0.439685\pi$
$132$	0.353256			0.0307469
$133$	−3.94218	−	2.86416i	−0.341831	−	0.248354i
$134$	3.28852	−	10.1210i	0.284085	−	0.874324i
$135$	6.91088	−	1.08770i	0.594794	−	0.0936146i
$136$	−0.806010	−	2.48064i	−0.0691147	−	0.212713i
$137$	−4.86293	+	14.9665i	−0.415468	+	1.27868i	0.496364	+	0.868115i	$0.334668\pi$
$137$	−4.86293	+	14.9665i	−0.415468	+	1.27868i	−0.911832	+	0.410564i	$0.865332\pi$
$138$	−0.553688	+	1.70408i	−0.0471330	+	0.145061i
$139$	−0.622283	−	1.91519i	−0.0527813	−	0.162444i	0.921191	−	0.389110i	$-0.127217\pi$
$139$	−0.622283	−	1.91519i	−0.0527813	−	0.162444i	−0.973973	+	0.226666i	$0.927217\pi$
$140$	−4.93722	−	9.71314i	−0.417272	−	0.820910i
$141$	−0.890655	+	2.74115i	−0.0750066	+	0.230847i
$142$	−0.817262	−	0.593776i	−0.0685831	−	0.0498285i
$143$	−1.75834			−0.147040
$144$	2.18319	+	1.58618i	0.181932	+	0.132181i
$145$	−6.06825	−	11.9382i	−0.503941	−	0.991416i
$146$	4.98325	−	3.62055i	0.412417	−	0.299639i
$147$	−7.43738	+	5.40357i	−0.613424	+	0.445679i
$148$	−0.434036	−	1.33583i	−0.0356776	−	0.109804i
$149$	8.48897			0.695444			0.347722	−	0.937598i	$-0.386955\pi$
$149$	8.48897			0.695444			0.347722	+	0.937598i	$0.386955\pi$
$150$	−1.60925	−	2.22400i	−0.131395	−	0.181589i
$151$	−0.735617			−0.0598637			−0.0299318	−	0.999552i	$-0.509529\pi$
$151$	−0.735617			−0.0598637			−0.0299318	+	0.999552i	$0.509529\pi$
$152$	−0.309017	−	0.951057i	−0.0250646	−	0.0771409i
$153$	5.69441	−	4.13723i	0.460365	−	0.334475i
$154$	2.53647	−	1.84285i	0.204394	−	0.148501i
$155$	5.77151	−	5.76033i	0.463579	−	0.462680i
$156$	1.21385	+	0.881912i	0.0971856	+	0.0706095i
$157$	−19.2773			−1.53850			−0.769249	−	0.638949i	$-0.779370\pi$
$157$	−19.2773			−1.53850			−0.769249	+	0.638949i	$0.779370\pi$
$158$	−8.43136	−	6.12574i	−0.670763	−	0.487338i
$159$	2.45577	−	7.55809i	0.194756	−	0.599396i
$160$	0.351941	−	2.20820i	0.0278234	−	0.174573i
$161$	4.91414	+	15.1242i	0.387289	+	1.19195i
$162$	−1.97090	+	6.06579i	−0.154848	+	0.476574i
$163$	−2.38335	+	7.33519i	−0.186678	+	0.574536i	−0.999973	−	0.00731521i	$-0.997671\pi$
$163$	−2.38335	+	7.33519i	−0.186678	+	0.574536i	0.813295	+	0.581851i	$0.197671\pi$
$164$	0.454904	+	1.40005i	0.0355221	+	0.109326i
$165$	0.559088	−	0.558004i	0.0435249	−	0.0434405i
$166$	−0.858424	+	2.64196i	−0.0666266	+	0.205056i
$167$	−1.26536	−	0.919337i	−0.0979164	−	0.0711404i	0.537750	−	0.843104i	$-0.319275\pi$
$167$	−1.26536	−	0.919337i	−0.0979164	−	0.0711404i	−0.635666	+	0.771964i	$0.719275\pi$
$168$	−2.67532			−0.206405
$169$	4.47526	+	3.25147i	0.344251	+	0.250113i
$170$	−5.19408	−	2.65287i	−0.398368	−	0.203466i
$171$	2.18319	−	1.58618i	0.166952	−	0.121298i
$172$	−3.84096	+	2.79062i	−0.292870	+	0.212783i
$173$	−5.47370	−	16.8463i	−0.416158	−	1.28080i	−0.911211	−	0.411940i	$-0.864851\pi$
$173$	−5.47370	−	16.8463i	−0.416158	−	1.28080i	0.495053	−	0.868863i	$-0.335149\pi$
$174$	−3.28819			−0.249277
$175$	−23.1569	−	7.57385i	−1.75050	−	0.572530i
$176$	0.643417			0.0484994
$177$	−0.634058	−	1.95143i	−0.0476587	−	0.146678i
$178$	1.46263	−	1.06266i	0.109629	−	0.0796498i
$179$	−10.4081	+	7.56191i	−0.777937	+	0.565204i	−0.904359	−	0.426773i	$-0.859651\pi$
$179$	−10.4081	+	7.56191i	−0.777937	+	0.565204i	0.126422	+	0.991976i	$0.459651\pi$
$180$	5.96080	−	0.938170i	0.444292	−	0.0699270i
$181$	−1.66569	−	1.21020i	−0.123810	−	0.0899531i	0.524157	−	0.851622i	$-0.324380\pi$
$181$	−1.66569	−	1.21020i	−0.123810	−	0.0899531i	−0.647967	+	0.761669i	$0.724380\pi$
$182$	13.3165			0.987083
$183$	−3.65257	−	2.65374i	−0.270005	−	0.196170i
$184$	−1.00848	+	3.10379i	−0.0743463	+	0.228814i
$185$	−2.79701	−	1.42857i	−0.205640	−	0.105031i
$186$	−0.618697	−	1.90415i	−0.0453650	−	0.139619i
$187$	0.518600	−	1.59609i	0.0379238	−	0.116717i
$188$	−1.62223	+	4.99271i	−0.118313	+	0.364131i
$189$	−4.71111	−	14.4993i	−0.342683	−	1.05467i
$190$	−1.99137	−	1.01709i	−0.144469	−	0.0737872i
$191$	−4.83416	+	14.8780i	−0.349787	+	1.07653i	0.609183	+	0.793029i	$0.291497\pi$
$191$	−4.83416	+	14.8780i	−0.349787	+	1.07653i	−0.958971	+	0.283505i	$0.908503\pi$
$192$	−0.444175	−	0.322712i	−0.0320556	−	0.0232897i
$193$	26.5411			1.91047			0.955235	−	0.295847i	$-0.0956019\pi$
$193$	26.5411			1.91047			0.955235	+	0.295847i	$0.0956019\pi$
$194$	0.463655	+	0.336865i	0.0332885	+	0.0241855i
$195$	3.31420	−	0.521621i	0.237335	−	0.0373541i
$196$	−13.5464	+	9.84202i	−0.967598	+	0.703001i
$197$	3.62992	−	2.63729i	0.258621	−	0.187899i	−0.450918	−	0.892565i	$-0.648903\pi$
$197$	3.62992	−	2.63729i	0.258621	−	0.187899i	0.709539	+	0.704666i	$0.248903\pi$
$198$	0.536547	+	1.65132i	0.0381307	+	0.117354i
$199$	7.82745			0.554873			0.277437	−	0.960744i	$-0.410515\pi$
$199$	7.82745			0.554873			0.277437	+	0.960744i	$0.410515\pi$
$200$	−2.93107	−	4.05078i	−0.207258	−	0.286433i
$201$	−5.84272			−0.412114
$202$	−3.39621	−	10.4525i	−0.238957	−	0.735433i
$203$	−23.6100	+	17.1537i	−1.65710	+	1.20395i
$204$	−1.15854	+	0.841731i	−0.0811142	+	0.0589329i
$205$	2.93149	+	1.49725i	0.204744	+	0.104573i
$206$	12.6951	+	9.22353i	0.884509	+	0.642633i
$207$	−8.80682			−0.612116
$208$	2.21089	+	1.60631i	0.153298	+	0.111377i
$209$	0.198827	−	0.611926i	0.0137531	−	0.0423278i
$210$	−4.23416	+	4.22595i	−0.292184	+	0.291618i
$211$	1.00942	+	3.10668i	0.0694914	+	0.213873i	0.979771	−	0.200121i	$-0.0641336\pi$
$211$	1.00942	+	3.10668i	0.0694914	+	0.213873i	−0.910280	+	0.413994i	$0.864134\pi$
$212$	4.47293	−	13.7663i	0.307202	−	0.945470i
$213$	−0.171389	+	0.527481i	−0.0117434	+	0.0361424i
$214$	1.88386	+	5.79794i	0.128778	+	0.396339i
$215$	−1.67091	+	10.4838i	−0.113955	+	0.714991i
$216$	0.966818	−	2.97556i	0.0657836	−	0.202461i
$217$	−14.3759	−	10.4447i	−0.975901	−	0.709034i
$218$	−17.5230			−1.18681
$219$	−2.73596	−	1.98779i	−0.184879	−	0.134322i
$220$	1.01832	−	1.01634i	0.0686550	−	0.0685219i
$221$	5.76668	−	4.18974i	0.387909	−	0.281832i
$222$	−0.623875	+	0.453272i	−0.0418718	+	0.0304216i
$223$	1.58580	+	4.88058i	0.106193	+	0.326828i	0.990009	−	0.141007i	$-0.0450342\pi$
$223$	1.58580	+	4.88058i	0.106193	+	0.326828i	−0.883816	+	0.467835i	$0.845034\pi$
$224$	−4.87281			−0.325578
$225$	7.95205	−	10.9005i	0.530137	−	0.726701i
$226$	−0.422599			−0.0281108
$227$	1.45634	+	4.48216i	0.0966608	+	0.297491i	0.987683	−	0.156469i	$-0.0500110\pi$
$227$	1.45634	+	4.48216i	0.0966608	+	0.297491i	−0.891022	+	0.453960i	$0.850011\pi$
$228$	−0.444175	+	0.322712i	−0.0294162	+	0.0213721i
$229$	20.6833	−	15.0273i	1.36679	−	0.993033i	0.368813	−	0.929504i	$-0.379764\pi$
$229$	20.6833	−	15.0273i	1.36679	−	0.993033i	0.997980	−	0.0635292i	$-0.0202356\pi$
$230$	3.30666	+	6.50529i	0.218035	+	0.428946i
$231$	−1.39260	−	1.01178i	−0.0916262	−	0.0665703i
$232$	−5.98907			−0.393202
$233$	−9.20357	−	6.68679i	−0.602946	−	0.438066i	0.243977	−	0.969781i	$-0.421548\pi$
$233$	−9.20357	−	6.68679i	−0.602946	−	0.438066i	−0.846923	+	0.531715i	$0.821548\pi$
$234$	−2.27890	+	7.01374i	−0.148976	+	0.458502i
$235$	5.31905	+	10.4643i	0.346977	+	0.682616i
$236$	−1.15487	−	3.55432i	−0.0751755	−	0.231366i
$237$	−1.76815	+	5.44180i	−0.114854	+	0.353483i
$238$	−3.92753	+	12.0877i	−0.254584	+	0.783528i
$239$	−8.07111	−	24.8403i	−0.522077	−	1.60679i	−0.770025	−	0.638014i	$-0.779756\pi$
$239$	−8.07111	−	24.8403i	−0.522077	−	1.60679i	0.247948	−	0.968773i	$-0.420244\pi$
$240$	−1.21274	+	0.190873i	−0.0782821	+	0.0123208i
$241$	8.69735	−	26.7677i	0.560245	−	1.72426i	−0.121427	−	0.992600i	$-0.538747\pi$
$241$	8.69735	−	26.7677i	0.560245	−	1.72426i	0.681672	−	0.731657i	$-0.261253\pi$
$242$	−8.56427	−	6.22230i	−0.550532	−	0.399985i
$243$	12.8878			0.826750
$244$	−6.65275	−	4.83351i	−0.425899	−	0.309434i
$245$	−5.89298	+	36.9746i	−0.376489	+	2.36222i
$246$	0.653871	−	0.475065i	0.0416893	−	0.0302890i
$247$	2.21089	−	1.60631i	0.140676	−	0.102207i
$248$	−1.12689	−	3.46821i	−0.0715575	−	0.220231i
$249$	1.52516			0.0966532
$250$	−11.0376	−	1.78113i	−0.698076	−	0.112648i
$251$	−3.82678			−0.241544			−0.120772	−	0.992680i	$-0.538537\pi$
$251$	−3.82678			−0.241544			−0.120772	+	0.992680i	$0.538537\pi$
$252$	−4.06345	−	12.5060i	−0.255973	−	0.787804i
$253$	−1.69878	+	1.23423i	−0.106801	+	0.0775956i
$254$	−9.39588	+	6.82651i	−0.589550	+	0.428333i
$255$	−0.503993	+	3.16222i	−0.0315612	+	0.198026i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	23.4587			1.46332			0.731658	−	0.681672i	$-0.238747\pi$
$257$	23.4587			1.46332			0.731658	+	0.681672i	$0.238747\pi$
$258$	2.10880	+	1.53214i	0.131288	+	0.0953866i
$259$	−2.11497	+	6.50922i	−0.131418	+	0.404463i
$260$	6.03645	−	0.950076i	0.374365	−	0.0589212i
$261$	−4.99430	−	15.3709i	−0.309140	−	0.951434i
$262$	5.16131	−	15.8849i	0.318867	−	0.981370i
$263$	−7.85683	+	24.1808i	−0.484473	+	1.49105i	0.348270	+	0.937394i	$0.386769\pi$
$263$	−7.85683	+	24.1808i	−0.484473	+	1.49105i	−0.832743	+	0.553660i	$0.813231\pi$
$264$	−0.109162	−	0.335966i	−0.00671845	−	0.0206773i
$265$	−14.6660	−	28.8529i	−0.900928	−	1.77242i
$266$	−1.50578	+	4.63431i	−0.0923253	+	0.284148i
$267$	−0.803027	−	0.583433i	−0.0491445	−	0.0357055i
$268$	−10.6419			−0.650057
$269$	9.55724	+	6.94374i	0.582715	+	0.423367i	0.839702	−	0.543048i	$-0.182730\pi$
$269$	9.55724	+	6.94374i	0.582715	+	0.423367i	−0.256987	+	0.966415i	$0.582730\pi$
$270$	−3.17005	−	6.23652i	−0.192923	−	0.379543i
$271$	11.5088	−	8.36166i	0.699112	−	0.507935i	−0.180531	−	0.983569i	$-0.557781\pi$
$271$	11.5088	−	8.36166i	0.699112	−	0.507935i	0.879643	+	0.475634i	$0.157781\pi$
$272$	−2.11016	+	1.53312i	−0.127947	+	0.0929591i
$273$	−2.25927	−	6.95332i	−0.136737	−	0.420834i
$274$	15.7368			0.950692
$275$	0.00624325	−	3.21708i	0.000376482	−	0.193997i
$276$	1.79177			0.107852
$277$	7.71352	+	23.7398i	0.463460	+	1.42638i	0.860909	+	0.508760i	$0.169896\pi$
$277$	7.71352	+	23.7398i	0.463460	+	1.42638i	−0.397448	+	0.917625i	$0.630104\pi$
$278$	−1.62916	+	1.18365i	−0.0977103	+	0.0709907i
$279$	7.96140	−	5.78429i	0.476636	−	0.346297i
$280$	−7.71206	+	7.69710i	−0.460883	+	0.459990i
$281$	−6.92222	−	5.02929i	−0.412945	−	0.300022i	0.361848	−	0.932237i	$-0.382146\pi$
$281$	−6.92222	−	5.02929i	−0.412945	−	0.300022i	−0.774793	+	0.632215i	$0.782146\pi$
$282$	2.88222			0.171634
$283$	12.1609	+	8.83540i	0.722890	+	0.525210i	0.887306	−	0.461181i	$-0.152574\pi$
$283$	12.1609	+	8.83540i	0.722890	+	0.525210i	−0.164416	+	0.986391i	$0.552574\pi$
$284$	−0.312166	+	0.960749i	−0.0185237	+	0.0570100i
$285$	−0.193226	+	1.21237i	−0.0114457	+	0.0718145i
$286$	0.543356	+	1.67228i	0.0321293	+	0.0988839i
$287$	2.21666	−	6.82218i	0.130845	−	0.402700i
$288$	0.833903	−	2.56649i	0.0491382	−	0.151232i
$289$	−3.15097	−	9.69770i	−0.185351	−	0.570453i
$290$	−9.47874	+	9.46036i	−0.556611	+	0.555532i
$291$	0.0972335	−	0.299254i	0.00569993	−	0.0175426i
$292$	−4.98325	−	3.62055i	−0.291623	−	0.211876i
$293$	18.0355			1.05365			0.526823	−	0.849975i	$-0.323383\pi$
$293$	18.0355			1.05365			0.526823	+	0.849975i	$0.323383\pi$
$294$	7.43738	+	5.40357i	0.433757	+	0.315143i
$295$	−7.44219	−	3.80109i	−0.433301	−	0.221308i
$296$	−1.13632	+	0.825586i	−0.0660473	+	0.0479862i
$297$	1.62859	−	1.18324i	0.0945005	−	0.0686586i
$298$	−2.62324	−	8.07349i	−0.151960	−	0.467685i
$299$	−8.91859			−0.515775
$300$	−1.61787	+	2.21774i	−0.0934076	+	0.128041i
$301$	23.1346			1.33345
$302$	0.227318	+	0.699614i	0.0130807	+	0.0402582i
$303$	−4.88165	+	3.54673i	−0.280443	+	0.203754i
$304$	−0.809017	+	0.587785i	−0.0464003	+	0.0337118i
$305$	−18.1642	+	2.85885i	−1.04008	+	0.163698i
$306$	−5.69441	−	4.13723i	−0.325527	−	0.236510i
$307$	14.3153			0.817017			0.408509	−	0.912754i	$-0.366049\pi$
$307$	14.3153			0.817017			0.408509	+	0.912754i	$0.366049\pi$
$308$	−2.53647	−	1.84285i	−0.144529	−	0.105006i
$309$	2.66230	−	8.19372i	0.151453	−	0.466125i
$310$	−7.26189	−	3.70900i	−0.412448	−	0.210657i
$311$	−4.73501	−	14.5729i	−0.268498	−	0.826352i	−0.990867	−	0.134844i	$-0.956947\pi$
$311$	−4.73501	−	14.5729i	−0.268498	−	0.826352i	0.722369	−	0.691508i	$-0.243053\pi$
$312$	0.463649	−	1.42696i	0.0262489	−	0.0807859i
$313$	6.31485	−	19.4351i	0.356936	−	1.09854i	−0.597942	−	0.801539i	$-0.704015\pi$
$313$	6.31485	−	19.4351i	0.356936	−	1.09854i	0.954878	−	0.296997i	$-0.0959852\pi$
$314$	5.95702	+	18.3338i	0.336174	+	1.03464i
$315$	−26.1856	−	13.3743i	−1.47539	−	0.753554i
$316$	−3.22049	+	9.91166i	−0.181167	+	0.557574i
$317$	−16.8473	−	12.2403i	−0.946240	−	0.687483i	0.00367493	−	0.999993i	$-0.498830\pi$
$317$	−16.8473	−	12.2403i	−0.946240	−	0.687483i	−0.949914	+	0.312510i	$0.898830\pi$
$318$	−7.94705			−0.445648
$319$	−3.11752	−	2.26501i	−0.174548	−	0.126816i
$320$	−2.20888	+	0.347655i	−0.123480	+	0.0194345i
$321$	2.70783	−	1.96735i	0.151136	−	0.109807i
$322$	12.8654	−	9.34725i	0.716960	−	0.520902i
$323$	0.806010	+	2.48064i	0.0448476	+	0.138027i
$324$	6.37795			0.354331
$325$	8.05298	−	11.0389i	0.446699	−	0.612326i
$326$	7.71267			0.427165
$327$	2.97296	+	9.14982i	0.164405	+	0.505986i
$328$	1.19095	−	0.865279i	0.0657595	−	0.0477771i
$329$	20.6951	−	15.0359i	1.14096	−	0.828953i
$330$	−0.703461	−	0.359291i	−0.0387242	−	0.0197783i
$331$	−19.7915	−	14.3794i	−1.08784	−	0.790362i	−0.108807	−	0.994063i	$-0.534703\pi$
$331$	−19.7915	−	14.3794i	−1.08784	−	0.790362i	−0.979033	+	0.203700i	$0.934703\pi$
$332$	2.77792			0.152458
$333$	−3.06644	−	2.22790i	−0.168040	−	0.122088i
$334$	−0.483324	+	1.48752i	−0.0264463	+	0.0813934i
$335$	−16.8426	+	16.8100i	−0.920211	+	0.918427i
$336$	0.826719	+	2.54438i	0.0451012	+	0.138807i
$337$	−0.977490	+	3.00840i	−0.0532473	+	0.163878i	−0.974144	−	0.225929i	$-0.927458\pi$
$337$	−0.977490	+	3.00840i	−0.0532473	+	0.163878i	0.920897	+	0.389807i	$0.127458\pi$
$338$	1.70940	−	5.26098i	0.0929789	−	0.286160i
$339$	0.0716980	+	0.220664i	0.00389410	+	0.0119848i
$340$	−0.917968	+	5.75965i	−0.0497838	+	0.312361i
$341$	0.725059	−	2.23150i	0.0392642	−	0.120843i
$342$	−2.18319	−	1.58618i	−0.118053	−	0.0857706i
$343$	47.4818			2.56378
$344$	3.84096	+	2.79062i	0.207091	+	0.150460i
$345$	2.83579	−	2.83029i	0.152674	−	0.152378i
$346$	−14.3303	+	10.4116i	−0.770404	+	0.559731i
$347$	12.9506	−	9.40913i	0.695222	−	0.505108i	−0.183151	−	0.983085i	$-0.558630\pi$
$347$	12.9506	−	9.40913i	0.695222	−	0.505108i	0.878373	+	0.477976i	$0.158630\pi$
$348$	1.01611	+	3.12725i	0.0544690	+	0.167638i
$349$	−12.9694			−0.694236			−0.347118	−	0.937821i	$-0.612840\pi$
$349$	−12.9694			−0.694236			−0.347118	+	0.937821i	$0.612840\pi$
$350$	−0.0472822	+	24.3640i	−0.00252734	+	1.30231i
$351$	8.55012			0.456372
$352$	−0.198827	−	0.611926i	−0.0105975	−	0.0326157i
$353$	26.1631	−	19.0086i	1.39252	−	1.01172i	0.396936	−	0.917846i	$-0.370073\pi$
$353$	26.1631	−	19.0086i	1.39252	−	1.01172i	0.995584	−	0.0938787i	$-0.0299266\pi$
$354$	−1.65999	+	1.20605i	−0.0882272	+	0.0641008i
$355$	1.02355	+	2.01365i	0.0543242	+	0.106873i
$356$	−1.46263	−	1.06266i	−0.0775191	−	0.0563209i
$357$	6.97804			0.369317
$358$	10.4081	+	7.56191i	0.550084	+	0.399660i
$359$	−1.85758	+	5.71706i	−0.0980395	+	0.301735i	−0.988034	−	0.154237i	$-0.950708\pi$
$359$	−1.85758	+	5.71706i	−0.0980395	+	0.301735i	0.889994	+	0.455972i	$0.150708\pi$
$360$	−2.73424	−	5.37915i	−0.144107	−	0.283506i
$361$	0.309017	+	0.951057i	0.0162641	+	0.0500556i
$362$	−0.636237	+	1.95814i	−0.0334399	+	0.102917i
$363$	−1.79602	+	5.52759i	−0.0942667	+	0.290123i
$364$	−4.11502	−	12.6647i	−0.215686	−	0.663812i
$365$	−13.6059	+	2.14143i	−0.712165	+	0.112088i
$366$	−1.39516	+	4.29385i	−0.0729260	+	0.224443i
$367$	−13.5698	−	9.85902i	−0.708337	−	0.514637i	0.174300	−	0.984693i	$-0.444234\pi$
$367$	−13.5698	−	9.85902i	−0.708337	−	0.514637i	−0.882637	+	0.470056i	$0.844234\pi$
$368$	3.26352			0.170123
$369$	3.21387	+	2.33501i	0.167307	+	0.121556i
$370$	−0.494326	+	3.10157i	−0.0256988	+	0.161243i
$371$	−57.0619	+	41.4579i	−2.96251	+	2.15239i
$372$	−1.61977	+	1.17683i	−0.0839811	+	0.0610158i
$373$	10.3742	+	31.9284i	0.537153	+	1.65319i	0.738950	+	0.673760i	$0.235322\pi$
$373$	10.3742	+	31.9284i	0.537153	+	1.65319i	−0.201797	+	0.979427i	$0.564678\pi$
$374$	−1.67822			−0.0867789
$375$	0.942597	+	6.06555i	0.0486755	+	0.313223i
$376$	5.24965			0.270730
$377$	−5.05769	−	15.5660i	−0.260484	−	0.801688i
$378$	−12.3339	+	8.96107i	−0.634385	+	0.460908i
$379$	24.6677	−	17.9221i	1.26709	−	0.920598i	0.268011	−	0.963416i	$-0.413634\pi$
$379$	24.6677	−	17.9221i	1.26709	−	0.920598i	0.999083	+	0.0428183i	$0.0136336\pi$
$380$	−0.351941	+	2.20820i	−0.0180542	+	0.113278i
$381$	5.15863	+	3.74796i	0.264284	+	0.192014i
$382$	15.6437			0.800399
$383$	7.47239	+	5.42901i	0.381821	+	0.277410i	0.762096	−	0.647464i	$-0.224170\pi$
$383$	7.47239	+	5.42901i	0.381821	+	0.277410i	−0.380274	+	0.924874i	$0.624170\pi$
$384$	−0.169660	+	0.522159i	−0.00865792	+	0.0266463i
$385$	−6.92537	+	1.08998i	−0.352949	+	0.0555507i
$386$	−8.20165	−	25.2421i	−0.417453	−	1.28479i
$387$	−3.95911	+	12.1849i	−0.201253	+	0.619392i
$388$	0.177100	−	0.545059i	0.00899091	−	0.0276712i
$389$	9.26469	+	28.5138i	0.469738	+	1.44571i	0.852924	+	0.522035i	$0.174827\pi$
$389$	9.26469	+	28.5138i	0.469738	+	1.44571i	−0.383186	+	0.923671i	$0.625173\pi$
$390$	−1.52023	−	2.99080i	−0.0769801	−	0.151445i
$391$	2.63043	−	8.09562i	0.133026	−	0.409413i
$392$	13.5464	+	9.84202i	0.684195	+	0.497097i
$393$	−9.17010			−0.462570
$394$	−3.62992	−	2.63729i	−0.182873	−	0.132865i
$395$	10.5595	+	20.7740i	0.531306	+	1.04525i
$396$	1.40470	−	1.02057i	0.0705887	−	0.0512857i
$397$	−14.2248	+	10.3349i	−0.713921	+	0.518694i	−0.884436	−	0.466661i	$-0.845457\pi$
$397$	−14.2248	+	10.3349i	−0.713921	+	0.518694i	0.170515	+	0.985355i	$0.445457\pi$
$398$	−2.41882	−	7.44435i	−0.121244	−	0.373152i
$399$	2.67532			0.133934
$400$	−2.94677	+	4.03937i	−0.147339	+	0.201969i
$401$	11.0626			0.552440			0.276220	−	0.961094i	$-0.410918\pi$
$401$	11.0626			0.552440			0.276220	+	0.961094i	$0.410918\pi$
$402$	1.80550	+	5.55676i	0.0900502	+	0.277146i
$403$	8.06244	−	5.85771i	0.401619	−	0.291793i
$404$	−8.89140	+	6.45998i	−0.442363	+	0.321396i
$405$	10.0942	−	10.0746i	0.501585	−	0.500613i
$406$	23.6100	+	17.1537i	1.17175	+	0.851323i
$407$	−0.903724			−0.0447959
$408$	1.15854	+	0.841731i	0.0573564	+	0.0416719i
$409$	1.21562	−	3.74128i	0.0601083	−	0.184994i	−0.916494	−	0.400049i	$-0.868993\pi$
$409$	1.21562	−	3.74128i	0.0601083	−	0.184994i	0.976602	+	0.215055i	$0.0689930\pi$
$410$	0.518093	−	3.25069i	0.0255868	−	0.160540i
$411$	−2.66990	−	8.21709i	−0.131696	−	0.405319i
$412$	4.84909	−	14.9240i	0.238898	−	0.735252i
$413$	−5.62745	+	17.3195i	−0.276909	+	0.852237i
$414$	2.72146	+	8.37578i	0.133752	+	0.411647i
$415$	4.39653	−	4.38801i	0.215817	−	0.215399i
$416$	0.844486	−	2.59906i	0.0414043	−	0.127429i
$417$	0.894457	+	0.649861i	0.0438018	+	0.0318238i
$418$	−0.643417			−0.0314705
$419$	−7.36824	−	5.35334i	−0.359962	−	0.261528i	0.393074	−	0.919507i	$-0.371412\pi$
$419$	−7.36824	−	5.35334i	−0.359962	−	0.261528i	−0.753036	+	0.657979i	$0.771412\pi$
$420$	5.32754	+	2.72103i	0.259957	+	0.132773i
$421$	−10.0877	+	7.32913i	−0.491644	+	0.357200i	−0.805816	−	0.592166i	$-0.798273\pi$
$421$	−10.0877	+	7.32913i	−0.491644	+	0.357200i	0.314172	+	0.949366i	$0.398273\pi$
$422$	2.64270	−	1.92003i	0.128645	−	0.0934657i
$423$	4.37770	+	13.4732i	0.212851	+	0.655088i
$424$	−14.4747			−0.702953
$425$	7.64512	+	10.5657i	0.370843	+	0.512510i
$426$	0.554626			0.0268717
$427$	12.3824	+	38.1091i	0.599227	+	1.84423i
$428$	4.93202	−	3.58332i	0.238398	−	0.173206i
$429$	0.781010	−	0.567437i	0.0377075	−	0.0273961i
$430$	10.4871	−	1.65056i	0.505731	−	0.0795969i
$431$	7.98159	+	5.79896i	0.384459	+	0.279326i	0.763181	−	0.646184i	$-0.223636\pi$
$431$	7.98159	+	5.79896i	0.384459	+	0.279326i	−0.378722	+	0.925511i	$0.623636\pi$
$432$	−3.12869			−0.150529
$433$	−16.2867	−	11.8330i	−0.782687	−	0.568655i	0.123097	−	0.992395i	$-0.460717\pi$
$433$	−16.2867	−	11.8330i	−0.782687	−	0.568655i	−0.905784	+	0.423739i	$0.860717\pi$
$434$	−5.49111	+	16.8999i	−0.263582	+	0.811221i
$435$	6.54798	+	3.34437i	0.313952	+	0.160350i
$436$	5.41492	+	16.6654i	0.259328	+	0.798128i
$437$	1.00848	−	3.10379i	0.0482423	−	0.148474i
$438$	−1.04504	+	3.21631i	−0.0499341	+	0.153681i
$439$	9.16501	+	28.2070i	0.437422	+	1.34625i	0.890584	+	0.454819i	$0.150296\pi$
$439$	9.16501	+	28.2070i	0.437422	+	1.34625i	−0.453162	+	0.891428i	$0.649704\pi$
$440$	−1.28128	−	0.654410i	−0.0610825	−	0.0311978i
$441$	−13.9631	+	42.9739i	−0.664908	+	2.04638i
$442$	−5.76668	−	4.18974i	−0.274293	−	0.199285i
$443$	24.8021			1.17838			0.589192	−	0.807993i	$-0.299446\pi$
$443$	24.8021			1.17838			0.589192	+	0.807993i	$0.299446\pi$
$444$	0.623875	+	0.453272i	0.0296078	+	0.0215113i
$445$	−3.99344	+	0.628528i	−0.189307	+	0.0297951i
$446$	4.15167	−	3.01636i	0.196587	−	0.142829i
$447$	−3.77059	+	2.73949i	−0.178343	+	0.129574i
$448$	1.50578	+	4.63431i	0.0711414	+	0.218951i
$449$	−1.28962			−0.0608607			−0.0304304	−	0.999537i	$-0.509688\pi$
$449$	−1.28962			−0.0608607			−0.0304304	+	0.999537i	$0.509688\pi$
$450$	−12.8243	−	4.19441i	−0.604544	−	0.197726i
$451$	0.947174			0.0446007
$452$	0.130590	+	0.401915i	0.00614244	+	0.0189045i
$453$	0.326743	−	0.237393i	0.0153517	−	0.0111537i
$454$	3.81275	−	2.77013i	0.178941	−	0.130008i
$455$	−26.5180	−	13.5440i	−1.24318	−	0.634953i
$456$	0.444175	+	0.322712i	0.0208004	+	0.0151124i
$457$	−30.6320			−1.43290			−0.716452	−	0.697636i	$-0.754235\pi$
$457$	−30.6320			−1.43290			−0.716452	+	0.697636i	$0.754235\pi$
$458$	−20.6833	−	15.0273i	−0.966468	−	0.702180i
$459$	−2.52175	+	7.76115i	−0.117705	+	0.362260i
$460$	5.16508	−	5.15507i	0.240823	−	0.240356i
$461$	−3.78718	−	11.6557i	−0.176387	−	0.542862i	0.823307	−	0.567596i	$-0.192126\pi$
$461$	−3.78718	−	11.6557i	−0.176387	−	0.542862i	−0.999694	+	0.0247334i	$0.992126\pi$
$462$	−0.531925	+	1.63710i	−0.0247474	+	0.0761646i
$463$	5.84930	−	18.0023i	0.271840	−	0.836638i	−0.718198	−	0.695839i	$-0.755033\pi$
$463$	5.84930	−	18.0023i	0.271840	−	0.836638i	0.990038	−	0.140799i	$-0.0449671\pi$
$464$	1.85073	+	5.69595i	0.0859178	+	0.264428i
$465$	−0.704637	+	4.42113i	−0.0326767	+	0.205025i
$466$	−3.51545	+	10.8195i	−0.162850	+	0.501201i
$467$	21.7682	+	15.8156i	1.00731	+	0.731857i	0.963644	−	0.267189i	$-0.0860949\pi$
$467$	21.7682	+	15.8156i	1.00731	+	0.731857i	0.0436703	+	0.999046i	$0.486095\pi$
$468$	7.37468			0.340895
$469$	41.9523	+	30.4801i	1.93718	+	1.40744i
$470$	8.30847	−	8.29237i	0.383241	−	0.382498i
$471$	8.56251	−	6.22103i	0.394540	−	0.286650i
$472$	−3.02348	+	2.19669i	−0.139167	+	0.101111i
$473$	0.943967	+	2.90523i	0.0434036	+	0.133583i
$474$	5.72185			0.262813
$475$	2.93107	+	4.05078i	0.134487	+	0.185863i
$476$	12.7097			0.582550
$477$	−12.0705	−	37.1491i	−0.552669	−	1.70094i
$478$	−21.1304	+	15.3522i	−0.966484	+	0.702192i
$479$	27.8321	−	20.2212i	1.27168	−	0.923929i	0.272411	−	0.962181i	$-0.412179\pi$
$479$	27.8321	−	20.2212i	1.27168	−	0.923929i	0.999268	+	0.0382515i	$0.0121788\pi$
$480$	0.556289	+	1.09440i	0.0253910	+	0.0499524i
$481$	−3.10536	−	2.25617i	−0.141592	−	0.102873i
$482$	−28.1452			−1.28198
$483$	−7.06349	−	5.13193i	−0.321400	−	0.233511i
$484$	−3.27126	+	10.0679i	−0.148694	+	0.457632i
$485$	−0.580685	−	1.14240i	−0.0263676	−	0.0518736i
$486$	−3.98253	−	12.2570i	−0.180651	−	0.555988i
$487$	11.0085	−	33.8807i	0.498843	−	1.53528i	−0.312038	−	0.950070i	$-0.601012\pi$
$487$	11.0085	−	33.8807i	0.498843	−	1.53528i	0.810881	−	0.585211i	$-0.198988\pi$
$488$	−2.54113	+	7.82078i	−0.115031	+	0.354030i
$489$	−1.30853	−	4.02724i	−0.0591738	−	0.182118i
$490$	36.9860	−	5.82122i	1.67086	−	0.262976i
$491$	13.2376	−	40.7412i	0.597405	−	1.83862i	0.0550367	−	0.998484i	$-0.482472\pi$
$491$	13.2376	−	40.7412i	0.597405	−	1.83862i	0.542369	−	0.840141i	$-0.317528\pi$
$492$	−0.653871	−	0.475065i	−0.0294788	−	0.0214176i
$493$	15.6213			0.703548
$494$	−2.21089	−	1.60631i	−0.0994728	−	0.0722712i
$495$	0.611076	−	3.83410i	0.0274658	−	0.172330i
$496$	−2.95023	+	2.14347i	−0.132469	+	0.0962447i
$497$	3.98236	−	2.89335i	0.178633	−	0.129785i
$498$	−0.471301	−	1.45052i	−0.0211195	−	0.0649991i
$499$	−18.3293			−0.820532			−0.410266	−	0.911966i	$-0.634564\pi$
$499$	−18.3293			−0.820532			−0.410266	+	0.911966i	$0.634564\pi$
$500$	1.71684	+	11.0477i	0.0767793	+	0.494070i
$501$	0.858722			0.0383649
$502$	1.18254	+	3.63949i	0.0527794	+	0.162438i
$503$	−12.9287	+	9.39323i	−0.576461	+	0.418823i	−0.837446	−	0.546519i	$-0.815952\pi$
$503$	−12.9287	+	9.39323i	−0.576461	+	0.418823i	0.260986	+	0.965343i	$0.415952\pi$
$504$	−10.6382	+	7.72913i	−0.473865	+	0.344283i
$505$	−3.86796	+	24.2689i	−0.172122	+	1.07995i
$506$	1.69878	+	1.23423i	0.0755198	+	0.0548683i
$507$	−3.03709			−0.134882
$508$	9.39588	+	6.82651i	0.416875	+	0.302877i
$509$	0.791018	−	2.43450i	0.0350612	−	0.107907i	−0.931994	−	0.362473i	$-0.881932\pi$
$509$	0.791018	−	2.43450i	0.0350612	−	0.107907i	0.967055	+	0.254566i	$0.0819325\pi$
$510$	3.16319	−	0.497855i	0.140069	−	0.0220454i
$511$	9.27506	+	28.5457i	0.410305	+	1.26279i
$512$	−0.309017	+	0.951057i	−0.0136568	+	0.0420312i
$513$	−0.966818	+	2.97556i	−0.0426860	+	0.131374i
$514$	−7.24915	−	22.3106i	−0.319746	−	0.984078i
$515$	−15.8994	−	31.2794i	−0.700613	−	1.37834i
$516$	0.805492	−	2.47905i	0.0354598	−	0.109134i
$517$	2.73263	+	1.98537i	0.120181	+	0.0873164i
$518$	6.84420			0.300717
$519$	7.86780	+	5.71629i	0.345358	+	0.250917i
$520$	−2.76894	−	5.44742i	−0.121426	−	0.238885i
$521$	−14.6685	+	10.6573i	−0.642639	+	0.466904i	−0.860756	−	0.509018i	$-0.830009\pi$
$521$	−14.6685	+	10.6573i	−0.642639	+	0.466904i	0.218117	+	0.975923i	$0.430009\pi$
$522$	−13.0753	+	9.49973i	−0.572288	+	0.415792i
$523$	11.0010	+	33.8576i	0.481040	+	1.48049i	0.837635	+	0.546230i	$0.183938\pi$
$523$	11.0010	+	33.8576i	0.481040	+	1.48049i	−0.356595	+	0.934259i	$0.616062\pi$
$524$	−16.7023			−0.729645
$525$	12.7299	−	4.10890i	0.555578	−	0.179327i
$526$	25.4252			1.10859
$527$	2.93927	+	9.04613i	0.128036	+	0.394056i
$528$	−0.285790	+	0.207638i	−0.0124374	+	0.00903630i
$529$	9.99091	−	7.25882i	0.434387	−	0.315601i
$530$	−22.9087	+	22.8643i	−0.995090	+	0.993161i
$531$	−8.15907	−	5.92791i	−0.354073	−	0.257249i
$532$	4.87281			0.211263
$533$	3.25466	+	2.36465i	0.140975	+	0.102424i
$534$	−0.306729	+	0.944015i	−0.0132735	+	0.0408515i
$535$	2.14554	−	13.4619i	0.0927599	−	0.582007i
$536$	3.28852	+	10.1210i	0.142043	+	0.437162i
$537$	2.18269	−	6.71763i	0.0941900	−	0.289887i
$538$	3.65054	−	11.2352i	0.157386	−	0.484384i
$539$	3.32920	+	10.2462i	0.143399	+	0.441336i
$540$	−4.95169	+	4.94209i	−0.213087	+	0.212674i
$541$	−10.1811	+	31.3343i	−0.437722	+	1.34717i	0.452550	+	0.891739i	$0.350514\pi$
$541$	−10.1811	+	31.3343i	−0.437722	+	1.34717i	−0.890272	+	0.455430i	$0.849486\pi$
$542$	−11.5088	−	8.36166i	−0.494347	−	0.359164i
$543$	1.13040			0.0485102
$544$	2.11016	+	1.53312i	0.0904724	+	0.0657320i
$545$	34.8948	+	17.8224i	1.49473	+	0.763430i
$546$	−5.91485	+	4.29739i	−0.253132	+	0.183911i
$547$	13.9576	−	10.1408i	0.596785	−	0.433590i	−0.247951	−	0.968773i	$-0.579757\pi$
$547$	13.9576	−	10.1408i	0.596785	−	0.433590i	0.844736	+	0.535183i	$0.179757\pi$
$548$	−4.86293	−	14.9665i	−0.207734	−	0.639339i
$549$	−22.1910			−0.947088
$550$	−3.06155	+	0.988194i	−0.130545	+	0.0421367i
$551$	5.98907			0.255143
$552$	−0.553688	−	1.70408i	−0.0235665	−	0.0725303i
$553$	41.0844	−	29.8495i	1.74709	−	1.26933i
$554$	20.1943	−	14.6720i	0.857972	−	0.623353i
$555$	1.70338	−	0.268095i	0.0723045	−	0.0113800i
$556$	1.62916	+	1.18365i	0.0690916	+	0.0501980i
$557$	10.0303			0.424996			0.212498	−	0.977162i	$-0.431840\pi$
$557$	10.0303			0.424996			0.212498	+	0.977162i	$0.431840\pi$
$558$	−7.96140	−	5.78429i	−0.337033	−	0.244869i
$559$	−4.00936	+	12.3395i	−0.169578	+	0.521906i
$560$	9.70354	+	4.95606i	0.410049	+	0.209432i
$561$	0.284727	+	0.876301i	0.0120212	+	0.0369974i
$562$	−2.64405	+	8.13756i	−0.111533	+	0.343262i
$563$	8.88644	−	27.3496i	0.374519	−	1.15265i	−0.569284	−	0.822141i	$-0.692780\pi$
$563$	8.88644	−	27.3496i	0.374519	−	1.15265i	0.943803	−	0.330509i	$-0.107220\pi$
$564$	−0.890655	−	2.74115i	−0.0375033	−	0.115423i
$565$	0.841548	+	0.429819i	0.0354042	+	0.0180826i
$566$	4.64505	−	14.2960i	0.195246	−	0.600905i
$567$	−25.1430	−	18.2675i	−1.05591	−	0.767163i
$568$	1.01019			0.0423867
$569$	−8.68216	−	6.30796i	−0.363975	−	0.264443i	0.390733	−	0.920504i	$-0.372222\pi$
$569$	−8.68216	−	6.30796i	−0.363975	−	0.264443i	−0.754708	+	0.656061i	$0.772222\pi$
$570$	1.21274	−	0.190873i	0.0507961	−	0.00799480i
$571$	−7.14545	+	5.19147i	−0.299028	+	0.217256i	−0.727174	−	0.686453i	$-0.759167\pi$
$571$	−7.14545	+	5.19147i	−0.299028	+	0.217256i	0.428146	+	0.903709i	$0.359167\pi$
$572$	1.42253	−	1.03353i	0.0594788	−	0.0432139i
$573$	−2.65410	−	8.16848i	−0.110877	−	0.341243i
$574$	−7.17326			−0.299406
$575$	0.0316668	−	16.3176i	0.00132060	−	0.680489i
$576$	−2.69857			−0.112440
$577$	9.48185	+	29.1821i	0.394735	+	1.21487i	0.929168	+	0.369658i	$0.120525\pi$
$577$	9.48185	+	29.1821i	0.394735	+	1.21487i	−0.534433	+	0.845211i	$0.679475\pi$
$578$	−8.24935	+	5.99351i	−0.343128	+	0.249297i
$579$	−11.7889	+	8.56514i	−0.489930	+	0.355955i
$580$	11.9264	+	6.09141i	0.495218	+	0.252932i
$581$	−10.9511	−	7.95641i	−0.454326	−	0.330087i
$582$	−0.314654			−0.0130428
$583$	−7.53458	−	5.47420i	−0.312051	−	0.226718i
$584$	−1.90343	+	5.85817i	−0.0787647	+	0.242413i
$585$	11.6717	−	11.6491i	0.482565	−	0.481630i
$586$	−5.57328	−	17.1528i	−0.230230	−	0.708575i
$587$	8.02453	−	24.6970i	0.331208	−	1.01935i	−0.637352	−	0.770573i	$-0.719970\pi$
$587$	8.02453	−	24.6970i	0.331208	−	1.01935i	0.968560	−	0.248780i	$-0.0800298\pi$
$588$	2.84082	−	8.74316i	0.117154	−	0.360562i
$589$	1.12689	+	3.46821i	0.0464327	+	0.142905i
$590$	−1.31528	+	8.25255i	−0.0541494	+	0.339752i
$591$	−0.761235	+	2.34284i	−0.0313130	+	0.0963715i
$592$	1.13632	+	0.825586i	0.0467025	+	0.0339314i
$593$	6.18559			0.254012			0.127006	−	0.991902i	$-0.459463\pi$
$593$	6.18559			0.254012			0.127006	+	0.991902i	$0.459463\pi$
$594$	−1.62859	−	1.18324i	−0.0668219	−	0.0485490i
$595$	20.1154	−	20.0764i	0.824650	−	0.823051i
$596$	−6.86772	+	4.98969i	−0.281313	+	0.204386i
$597$	−3.47676	+	2.52601i	−0.142294	+	0.103383i
$598$	2.75600	+	8.48208i	0.112701	+	0.346858i
$599$	25.1029			1.02568			0.512839	−	0.858485i	$-0.328594\pi$
$599$	25.1029			1.02568			0.512839	+	0.858485i	$0.328594\pi$
$600$	2.60914	+	0.853364i	0.106518	+	0.0348384i
$601$	36.1809			1.47585			0.737925	−	0.674883i	$-0.235806\pi$
$601$	36.1809			1.47585			0.737925	+	0.674883i	$0.235806\pi$
$602$	−7.14897	−	22.0023i	−0.291370	−	0.896746i
$603$	−23.2332	+	16.8799i	−0.946129	+	0.687403i
$604$	0.595127	−	0.432385i	0.0242154	−	0.0175935i
$605$	10.7260	+	21.1015i	0.436072	+	0.857897i
$606$	4.88165	+	3.54673i	0.198303	+	0.144076i
$607$	30.7360			1.24754			0.623769	−	0.781609i	$-0.285601\pi$
$607$	30.7360			1.24754			0.623769	+	0.781609i	$0.285601\pi$
$608$	0.809017	+	0.587785i	0.0328100	+	0.0238378i
$609$	4.95128	−	15.2385i	0.200636	−	0.617495i
$610$	8.33197	+	16.3917i	0.337351	+	0.663681i
$611$	4.43326	+	13.6442i	0.179350	+	0.551984i
$612$	−2.17507	+	6.69417i	−0.0879220	+	0.270596i
$613$	1.35781	−	4.17891i	0.0548414	−	0.168784i	−0.919884	−	0.392190i	$-0.871717\pi$
$613$	1.35781	−	4.17891i	0.0548414	−	0.168784i	0.974726	+	0.223406i	$0.0717175\pi$
$614$	−4.42367	−	13.6147i	−0.178525	−	0.549443i
$615$	−1.78528	+	0.280985i	−0.0719893	+	0.0113304i
$616$	−0.968844	+	2.98179i	−0.0390358	+	0.120140i
$617$	−22.6889	−	16.4844i	−0.913421	−	0.663639i	0.0284570	−	0.999595i	$-0.490941\pi$
$617$	−22.6889	−	16.4844i	−0.913421	−	0.663639i	−0.941878	+	0.335956i	$0.890941\pi$
$618$	−8.61539			−0.346562
$619$	8.75902	+	6.36380i	0.352055	+	0.255783i	0.749730	−	0.661743i	$-0.230183\pi$
$619$	8.75902	+	6.36380i	0.352055	+	0.255783i	−0.397676	+	0.917526i	$0.630183\pi$
$620$	−1.28342	+	8.05261i	−0.0515434	+	0.323401i
$621$	8.26049	−	6.00160i	0.331482	−	0.240836i
$622$	−12.3964	+	9.00653i	−0.497052	+	0.361129i
$623$	2.72231	+	8.37841i	0.109067	+	0.335674i
$624$	−1.50040			−0.0600640
$625$	20.1682	+	14.7730i	0.806730	+	0.590921i
$626$	−20.4353			−0.816758
$627$	0.109162	+	0.335966i	0.00435951	+	0.0134172i
$628$	15.5957	−	11.3309i	0.622336	−	0.452154i
$629$	2.96387	−	2.15338i	0.118177	−	0.0858608i
$630$	−4.62788	+	29.0369i	−0.184379	+	1.15686i
$631$	−15.9020	−	11.5535i	−0.633048	−	0.459936i	0.224407	−	0.974496i	$-0.427956\pi$
$631$	−15.9020	−	11.5535i	−0.633048	−	0.459936i	−0.857455	+	0.514559i	$0.827956\pi$
$632$	10.4217			0.414554
$633$	−1.45092	−	1.05416i	−0.0576690	−	0.0418990i
$634$	−6.43510	+	19.8052i	−0.255571	+	0.786565i
$635$	25.6538	−	4.03765i	1.01804	−	0.160229i
$636$	2.45577	+	7.55809i	0.0973778	+	0.299698i
$637$	−14.1403	+	43.5193i	−0.560258	+	1.72430i
$638$	−1.19079	+	3.66487i	−0.0471437	+	0.145094i
$639$	0.842401	+	2.59264i	0.0333249	+	0.102563i
$640$	1.01322	+	1.99334i	0.0400510	+	0.0787935i
$641$	−14.8720	+	45.7714i	−0.587410	+	1.80786i	0.00196089	+	0.999998i	$0.499376\pi$
$641$	−14.8720	+	45.7714i	−0.587410	+	1.80786i	−0.589371	+	0.807863i	$0.700624\pi$
$642$	−2.70783	−	1.96735i	−0.106870	−	0.0776453i
$643$	−13.2139			−0.521104			−0.260552	−	0.965460i	$-0.583905\pi$
$643$	−13.2139			−0.521104			−0.260552	+	0.965460i	$0.583905\pi$
$644$	−12.8654	−	9.34725i	−0.506967	−	0.368333i
$645$	−2.64109	−	5.19588i	−0.103993	−	0.204588i
$646$	2.11016	−	1.53312i	0.0830231	−	0.0603198i
$647$	−34.3495	+	24.9564i	−1.35042	+	0.981136i	−0.351427	+	0.936215i	$0.614304\pi$
$647$	−34.3495	+	24.9564i	−1.35042	+	0.981136i	−0.998991	+	0.0449207i	$0.985696\pi$
$648$	−1.97090	−	6.06579i	−0.0774241	−	0.238287i
$649$	−2.40460			−0.0943887
$650$	−12.9871	−	4.24764i	−0.509395	−	0.166606i
$651$	9.75606			0.382370
$652$	−2.38335	−	7.33519i	−0.0933391	−	0.287268i
$653$	−22.3617	+	16.2468i	−0.875082	+	0.635785i	−0.931946	−	0.362597i	$-0.881890\pi$
$653$	−22.3617	+	16.2468i	−0.875082	+	0.635785i	0.0568635	+	0.998382i	$0.481890\pi$
$654$	7.78330	−	5.65490i	0.304351	−	0.221124i
$655$	−26.4343	+	26.3831i	−1.03287	+	1.03087i
$656$	−1.19095	−	0.865279i	−0.0464990	−	0.0337835i
$657$	−16.6222			−0.648494
$658$	−20.6951	−	15.0359i	−0.806778	−	0.586159i
$659$	−14.4574	+	44.4953i	−0.563181	+	1.73329i	0.110114	+	0.993919i	$0.464878\pi$
$659$	−14.4574	+	44.4953i	−0.563181	+	1.73329i	−0.673295	+	0.739374i	$0.735122\pi$
$660$	−0.124325	+	0.780058i	−0.00483935	+	0.0303637i
$661$	−7.00643	−	21.5636i	−0.272519	−	0.838726i	−0.989865	−	0.142010i	$-0.954644\pi$
$661$	−7.00643	−	21.5636i	−0.272519	−	0.838726i	0.717347	−	0.696717i	$-0.245356\pi$
$662$	−7.55969	+	23.2663i	−0.293816	+	0.904272i
$663$	−1.20934	+	3.72195i	−0.0469667	+	0.144549i
$664$	−0.858424	−	2.64196i	−0.0333133	−	0.102528i
$665$	7.71206	−	7.69710i	0.299061	−	0.298481i
$666$	−1.17127	+	3.60481i	−0.0453860	+	0.139684i
$667$	−15.8126	−	11.4885i	−0.612266	−	0.444838i
$668$	1.56407			0.0605157
$669$	−2.27939	−	1.65608i	−0.0881264	−	0.0640276i
$670$	21.1919	+	10.8237i	0.818714	+	0.418157i
$671$	−4.28049	+	3.10996i	−0.165247	+	0.120059i
$672$	2.16438	−	1.57251i	0.0834928	−	0.0606610i
$673$	−2.16349	−	6.65854i	−0.0833965	−	0.256668i	0.900660	−	0.434525i	$-0.143084\pi$
$673$	−2.16349	−	6.65854i	−0.0833965	−	0.256668i	−0.984056	+	0.177857i	$0.943084\pi$
$674$	3.16322			0.121843
$675$	−0.0303585	+	15.6434i	−0.00116850	+	0.602115i
$676$	−5.53172			−0.212759
$677$	3.03584	+	9.34335i	0.116677	+	0.359094i	0.992293	−	0.123913i	$-0.0395444\pi$
$677$	3.03584	+	9.34335i	0.116677	+	0.359094i	−0.875616	+	0.483007i	$0.839544\pi$
$678$	0.187708	−	0.136378i	0.00720888	−	0.00523755i
$679$	−2.25930	+	1.64148i	−0.0867039	+	0.0629941i
$680$	5.76142	−	0.906789i	0.220940	−	0.0347738i
$681$	−2.09332	−	1.52088i	−0.0802161	−	0.0582804i
$682$	−2.34634			−0.0898460
$683$	−38.0922	−	27.6756i	−1.45756	−	1.05898i	−0.983991	−	0.178220i	$-0.942966\pi$
$683$	−38.0922	−	27.6756i	−1.45756	−	1.05898i	−0.473567	−	0.880758i	$-0.657034\pi$
$684$	−0.833903	+	2.56649i	−0.0318851	+	0.0981321i
$685$	−31.3376	−	16.0056i	−1.19735	−	0.611544i
$686$	−14.6727	−	45.1579i	−0.560206	−	1.72414i
$687$	−4.33752	+	13.3495i	−0.165487	+	0.509316i
$688$	1.46712	−	4.51532i	0.0559333	−	0.172145i
$689$	−12.2237	−	37.6206i	−0.465685	−	1.43323i
$690$	−3.56807	−	1.82239i	−0.135834	−	0.0693771i
$691$	4.56362	−	14.0454i	0.173608	−	0.534311i	−0.825959	−	0.563730i	$-0.809366\pi$
$691$	4.56362	−	14.0454i	0.173608	−	0.534311i	0.999567	+	0.0294190i	$0.00936571\pi$
$692$	14.3303	+	10.4116i	0.544758	+	0.395790i
$693$	−8.46066			−0.321394
$694$	−12.9506	−	9.40913i	−0.491596	−	0.357166i
$695$	4.44812	−	0.700090i	0.168727	−	0.0265559i
$696$	2.66020	−	1.93275i	0.100835	−	0.0732606i
$697$	−3.10637	+	2.25691i	−0.117662	+	0.0854865i
$698$	4.00776	+	12.3346i	0.151696	+	0.466873i
$699$	6.24591			0.236242
$700$	23.1861	−	7.48392i	0.876354	−	0.282865i
$701$	−43.1043			−1.62803			−0.814014	−	0.580846i	$-0.802722\pi$
$701$	−43.1043			−1.62803			−0.814014	+	0.580846i	$0.802722\pi$
$702$	−2.64213	−	8.13165i	−0.0997209	−	0.306909i
$703$	1.13632	−	0.825586i	0.0428572	−	0.0311376i
$704$	−0.520535	+	0.378191i	−0.0196184	+	0.0142536i
$705$	−5.73955	−	2.93147i	−0.216164	−	0.110405i
$706$	−26.1631	−	19.0086i	−0.984660	−	0.715398i
$707$	53.5539			2.01410
$708$	1.65999	+	1.20605i	0.0623861	+	0.0453261i
$709$	7.17184	−	22.0727i	0.269344	−	0.828956i	−0.721316	−	0.692606i	$-0.756463\pi$
$709$	7.17184	−	22.0727i	0.269344	−	0.828956i	0.990661	−	0.136351i	$-0.0435373\pi$
$710$	1.59880	−	1.59570i	0.0600020	−	0.0598856i
$711$	8.69071	+	26.7473i	0.325927	+	1.00310i
$712$	−0.558674	+	1.71942i	−0.0209372	+	0.0644380i
$713$	3.67762	−	11.3186i	0.137728	−	0.423883i
$714$	−2.15633	−	6.63651i	−0.0806988	−	0.248365i
$715$	0.618831	−	3.88276i	0.0231430	−	0.145207i
$716$	3.97553	−	12.2354i	0.148573	−	0.457260i
$717$	11.6013	+	8.42881i	0.433257	+	0.314780i
$718$	6.01127			0.224339
$719$	17.0060	+	12.3556i	0.634216	+	0.460785i	0.857858	−	0.513886i	$-0.171795\pi$
$719$	17.0060	+	12.3556i	0.634216	+	0.460785i	−0.223642	+	0.974671i	$0.571795\pi$
$720$	−4.27094	+	4.26266i	−0.159169	+	0.158860i
$721$	−61.8607	+	44.9445i	−2.30381	+	1.67382i
$722$	0.809017	−	0.587785i	0.0301085	−	0.0218751i
$723$	4.77511	+	14.6963i	0.177588	+	0.546560i
$724$	2.05891			0.0765187
$725$	28.4976	−	9.19834i	1.05838	−	0.341618i
$726$	5.81205			0.215705
$727$	7.10911	+	21.8796i	0.263662	+	0.811469i	0.991999	+	0.126249i	$0.0402940\pi$
$727$	7.10911	+	21.8796i	0.263662	+	0.811469i	−0.728336	+	0.685220i	$0.759706\pi$
$728$	−10.7733	+	7.82723i	−0.399283	+	0.290096i
$729$	9.75519	−	7.08756i	0.361303	−	0.262502i
$730$	6.24107	+	12.2782i	0.230992	+	0.454438i
$731$	−10.0184	−	7.27878i	−0.370543	−	0.269215i
$732$	4.51482			0.166873
$733$	24.7754	+	18.0004i	0.915102	+	0.664860i	0.942300	−	0.334770i	$-0.108659\pi$
$733$	24.7754	+	18.0004i	0.915102	+	0.664860i	−0.0271984	+	0.999630i	$0.508659\pi$
$734$	−5.18320	+	15.9522i	−0.191315	+	0.588808i
$735$	−9.31463	−	18.3249i	−0.343575	−	0.675925i
$736$	−1.00848	−	3.10379i	−0.0371732	−	0.114407i
$737$	−2.11589	+	6.51204i	−0.0779399	+	0.239874i
$738$	1.22759	−	3.77813i	0.0451882	−	0.139075i
$739$	2.84115	+	8.74416i	0.104513	+	0.321659i	0.989616	−	0.143737i	$-0.0459119\pi$
$739$	2.84115	+	8.74416i	0.104513	+	0.321659i	−0.885103	+	0.465396i	$0.845912\pi$
$740$	3.10252	−	0.488306i	0.114051	−	0.0179505i
$741$	−0.463649	+	1.42696i	−0.0170326	+	0.0524208i
$742$	57.0619	+	41.4579i	2.09481	+	1.52197i
$743$	−47.6704			−1.74886			−0.874430	−	0.485153i	$-0.838764\pi$
$743$	−47.6704			−1.74886			−0.874430	+	0.485153i	$0.838764\pi$
$744$	1.61977	+	1.17683i	0.0593836	+	0.0431447i
$745$	−2.98762	+	18.7453i	−0.109458	+	0.686776i
$746$	27.1599	−	19.7328i	0.994394	−	0.722469i
$747$	6.06471	−	4.40627i	0.221896	−	0.161217i
$748$	0.518600	+	1.59609i	0.0189619	+	0.0583587i
$749$	−29.7061			−1.08544
$750$	5.47740	−	2.77082i	0.200006	−	0.101176i
$751$	−8.67884			−0.316695			−0.158348	−	0.987383i	$-0.550617\pi$
$751$	−8.67884			−0.316695			−0.158348	+	0.987383i	$0.550617\pi$
$752$	−1.62223	−	4.99271i	−0.0591567	−	0.182066i
$753$	1.69976	−	1.23495i	0.0619428	−	0.0450041i
$754$	−13.2412	+	9.62030i	−0.482216	+	0.350351i
$755$	0.258894	−	1.62439i	0.00942211	−	0.0591176i
$756$	12.3339	+	8.96107i	0.448578	+	0.325911i
$757$	−13.1064			−0.476362			−0.238181	−	0.971221i	$-0.576551\pi$
$757$	−13.1064			−0.476362			−0.238181	+	0.971221i	$0.576551\pi$
$758$	−24.6677	−	17.9221i	−0.895971	−	0.650961i
$759$	0.356252	−	1.09643i	0.0129311	−	0.0397979i
$760$	2.20888	−	0.347655i	0.0801244	−	0.0126108i
$761$	−16.4452	−	50.6132i	−0.596139	−	1.83473i	−0.548972	−	0.835840i	$-0.684981\pi$
$761$	−16.4452	−	50.6132i	−0.596139	−	1.83473i	−0.0471666	−	0.998887i	$-0.515019\pi$
$762$	1.97042	−	6.06433i	0.0713808	−	0.219687i
$763$	26.3858	−	81.2073i	0.955232	−	2.93990i
$764$	−4.83416	−	14.8780i	−0.174894	−	0.538267i
$765$	7.13172	+	14.0304i	0.257848	+	0.507271i
$766$	2.85420	−	8.78432i	0.103126	−	0.317391i
$767$	−8.26262	−	6.00315i	−0.298346	−	0.216761i
$768$	0.549031			0.0198114
$769$	4.64880	+	3.37755i	0.167640	+	0.121798i	0.668442	−	0.743764i	$-0.266961\pi$
$769$	4.64880	+	3.37755i	0.167640	+	0.121798i	−0.500802	+	0.865562i	$0.666961\pi$
$770$	3.17669	+	6.24959i	0.114480	+	0.225220i
$771$	−10.4198	+	7.57042i	−0.375260	+	0.272642i
$772$	−21.4722	+	15.6005i	−0.772802	+	0.561473i
$773$	−6.39384	−	19.6782i	−0.229971	−	0.707776i	−0.997749	−	0.0670609i	$-0.978638\pi$
$773$	−6.39384	−	19.6782i	−0.229971	−	0.707776i	0.767778	−	0.640716i	$-0.221362\pi$
$774$	12.8119			0.460516
$775$	10.6887	+	14.7719i	0.383950	+	0.530624i
$776$	−0.573109			−0.0205734
$777$	−1.16119	−	3.57376i	−0.0416573	−	0.128208i
$778$	24.2553	−	17.6225i	0.869594	−	0.631797i
$779$	−1.19095	+	0.865279i	−0.0426704	+	0.0310018i
$780$	−2.37464	+	2.37004i	−0.0850258	+	0.0848609i
$781$	0.525840	+	0.382045i	0.0188160	+	0.0136706i
$782$	−8.51224			−0.304397
$783$	15.1593	+	11.0139i	0.541750	+	0.393604i
$784$	5.17425	−	15.9247i	0.184795	−	0.568740i
$785$	6.78448	−	42.5682i	0.242149	−	1.51932i
$786$	2.83372	+	8.72128i	0.101075	+	0.311078i
$787$	1.97385	−	6.07489i	0.0703602	−	0.216546i	−0.909693	−	0.415281i	$-0.863683\pi$
$787$	1.97385	−	6.07489i	0.0703602	−	0.216546i	0.980053	+	0.198735i	$0.0636832\pi$
$788$	−1.38651	+	4.26723i	−0.0493922	+	0.152014i
$789$	−4.31364	−	13.2760i	−0.153570	−	0.472639i
$790$	16.4942	−	16.4622i	0.586837	−	0.585699i
$791$	0.636341	−	1.95845i	0.0226257	−	0.0696346i
$792$	−1.40470	−	1.02057i	−0.0499138	−	0.0362645i
$793$	−22.4726			−0.798026
$794$	14.2248	+	10.3349i	0.504819	+	0.366772i
$795$	15.8255	+	8.08284i	0.561272	+	0.286669i
$796$	−6.33254	+	4.60086i	−0.224451	+	0.163073i
$797$	15.8515	−	11.5168i	0.561487	−	0.407944i	−0.270516	−	0.962716i	$-0.587194\pi$
$797$	15.8515	−	11.5168i	0.561487	−	0.407944i	0.832003	+	0.554771i	$0.187194\pi$
$798$	−0.826719	−	2.54438i	−0.0292655	−	0.0900701i
$799$	−13.6927			−0.484412
$800$	4.75228	+	1.55431i	0.168018	+	0.0549532i
$801$	−4.87875			−0.172382
$802$	−3.41853	−	10.5212i	−0.120713	−	0.371515i
$803$	−3.20631	+	2.32952i	−0.113148	+	0.0822070i
$804$	4.72686	−	3.43427i	0.166704	−	0.121117i
$805$	−35.1266	+	5.52858i	−1.23805	+	0.194857i
$806$	−8.06244	−	5.85771i	−0.283987	−	0.206329i
$807$	−6.48592			−0.228315
$808$	8.89140	+	6.45998i	0.312798	+	0.227261i
$809$	15.5895	−	47.9796i	0.548099	−	1.68687i	−0.165408	−	0.986225i	$-0.552894\pi$
$809$	15.5895	−	47.9796i	0.548099	−	1.68687i	0.713506	−	0.700649i	$-0.247106\pi$
$810$	−12.7008	−	6.48693i	−0.446262	−	0.227927i
$811$	−14.1105	−	43.4276i	−0.495486	−	1.52495i	−0.816199	−	0.577771i	$-0.803923\pi$
$811$	−14.1105	−	43.4276i	−0.495486	−	1.52495i	0.320713	−	0.947176i	$-0.396077\pi$
$812$	9.01823	−	27.7552i	0.316478	−	0.974018i
$813$	−2.41353	+	7.42809i	−0.0846462	+	0.260514i
$814$	0.279266	+	0.859493i	0.00978827	+	0.0301252i
$815$	−15.3587	−	7.84445i	−0.537993	−	0.274779i
$816$	0.442524	−	1.36195i	0.0154914	−	0.0476777i
$817$	−3.84096	−	2.79062i	−0.134378	−	0.0976315i
$818$	−3.93382			−0.137543
$819$	−29.0723	−	21.1223i	−1.01587	−	0.738072i
$820$	−3.25169	+	0.511783i	−0.113554	+	0.0178722i
$821$	−13.3787	+	9.72019i	−0.466919	+	0.339237i	−0.796240	−	0.604982i	$-0.793180\pi$
$821$	−13.3787	+	9.72019i	−0.466919	+	0.339237i	0.329320	+	0.944218i	$0.393180\pi$
$822$	−6.98988	+	5.07844i	−0.243800	+	0.177131i
$823$	3.40471	+	10.4786i	0.118681	+	0.365262i	0.992697	−	0.120635i	$-0.0384930\pi$
$823$	3.40471	+	10.4786i	0.118681	+	0.365262i	−0.874016	+	0.485897i	$0.838493\pi$
$824$	−15.6920			−0.546657
$825$	1.03542	+	1.43096i	0.0360486	+	0.0498197i
$826$	18.2108			0.633635
$827$	3.44972	+	10.6172i	0.119959	+	0.369195i	0.992949	−	0.118543i	$-0.0378223\pi$
$827$	3.44972	+	10.6172i	0.119959	+	0.369195i	−0.872990	+	0.487738i	$0.837822\pi$
$828$	7.12487	−	5.17652i	0.247606	−	0.179896i
$829$	−27.9033	+	20.2729i	−0.969122	+	0.704108i	−0.955251	−	0.295796i	$-0.904415\pi$
$829$	−27.9033	+	20.2729i	−0.969122	+	0.704108i	−0.0138706	+	0.999904i	$0.504415\pi$
$830$	−5.53185	−	2.82538i	−0.192013	−	0.0980704i
$831$	−11.0873	−	8.05537i	−0.384613	−	0.279438i
$832$	−2.73281			−0.0947433
$833$	−35.3330	−	25.6709i	−1.22422	−	0.889446i
$834$	0.341652	−	1.05150i	0.0118304	−	0.0364104i
$835$	2.47541	−	2.47061i	0.0856651	−	0.0854990i
$836$	0.198827	+	0.611926i	0.00687656	+	0.0211639i
$837$	−3.52568	+	10.8509i	−0.121865	+	0.375063i
$838$	−2.81442	+	8.66189i	−0.0972224	+	0.299220i
$839$	−7.64787	−	23.5377i	−0.264034	−	0.812612i	−0.991914	−	0.126909i	$-0.959495\pi$
$839$	−7.64787	−	23.5377i	−0.264034	−	0.812612i	0.727881	−	0.685704i	$-0.240505\pi$
$840$	0.941555	−	5.90764i	0.0324867	−	0.203833i
$841$	2.12264	−	6.53281i	0.0731945	−	0.225269i
$842$	10.0877	+	7.32913i	0.347645	+	0.252579i
$843$	4.69769			0.161797
$844$	−2.64270	−	1.92003i	−0.0909654	−	0.0660902i
$845$	−8.75491	+	8.73793i	−0.301178	+	0.300594i
$846$	11.4610	−	8.32687i	0.394036	−	0.286284i
$847$	41.7320	−	30.3201i	1.43393	−	1.04181i
$848$	4.47293	+	13.7663i	0.153601	+	0.472735i
$849$	−8.25286			−0.283237
$850$	7.68607	−	10.5359i	0.263630	−	0.361379i
$851$	−4.58384			−0.157132
$852$	−0.171389	−	0.527481i	−0.00587169	−	0.0180712i
$853$	−18.1313	+	13.1731i	−0.620802	+	0.451039i	−0.853202	−	0.521581i	$-0.825342\pi$
$853$	−18.1313	+	13.1731i	−0.620802	+	0.451039i	0.232399	+	0.972620i	$0.425342\pi$
$854$	32.4176	−	23.5527i	1.10931	−	0.805958i
$855$	2.73424	+	5.37915i	0.0935090	+	0.183963i
$856$	−4.93202	−	3.58332i	−0.168573	−	0.122475i
$857$	−24.8544			−0.849010			−0.424505	−	0.905425i	$-0.639552\pi$
$857$	−24.8544			−0.849010			−0.424505	+	0.905425i	$0.639552\pi$
$858$	−0.781010	−	0.567437i	−0.0266633	−	0.0193720i
$859$	−10.3227	+	31.7700i	−0.352206	+	1.08398i	0.605405	+	0.795917i	$0.293011\pi$
$859$	−10.3227	+	31.7700i	−0.352206	+	1.08398i	−0.957612	+	0.288063i	$0.906989\pi$
$860$	−4.81045	−	9.46373i	−0.164035	−	0.322711i
$861$	1.21701	+	3.74559i	0.0414757	+	0.127649i
$862$	3.04869	−	9.38292i	0.103839	−	0.319583i
$863$	−7.06990	+	21.7589i	−0.240662	+	0.740682i	0.755658	+	0.654967i	$0.227317\pi$
$863$	−7.06990	+	21.7589i	−0.240662	+	0.740682i	−0.996320	+	0.0857149i	$0.972683\pi$
$864$	0.966818	+	2.97556i	0.0328918	+	0.101231i
$865$	39.1264	−	6.15811i	1.33034	−	0.209382i
$866$	−6.22095	+	19.1461i	−0.211397	+	0.650612i
$867$	4.52915	+	3.29062i	0.153818	+	0.111755i
$868$	17.7696			0.603140
$869$	5.42488	+	3.94140i	0.184026	+	0.133703i
$870$	1.15725	−	7.26096i	0.0392343	−	0.246170i
$871$	−23.5281	+	17.0941i	−0.797219	+	0.579213i
$872$	14.1764	−	10.2998i	0.480075	−	0.348795i
$873$	−0.477917	−	1.47088i	−0.0161750	−	0.0497816i
$874$	−3.26352			−0.110390
$875$	24.8744	−	48.4695i	0.840909	−	1.63857i
$876$	3.38183			0.114262
$877$	−7.11447	−	21.8961i	−0.240239	−	0.739378i	−0.996383	−	0.0849737i	$-0.972919\pi$
$877$	−7.11447	−	21.8961i	−0.240239	−	0.739378i	0.756145	−	0.654404i	$-0.227081\pi$
$878$	23.9943	−	17.4329i	0.809769	−	0.588331i
$879$	−8.01092	+	5.82028i	−0.270202	+	0.196313i
$880$	−0.226445	+	1.42079i	−0.00763345	+	0.0478949i
$881$	2.20692	+	1.60342i	0.0743530	+	0.0540206i	0.624341	−	0.781152i	$-0.285368\pi$
$881$	2.20692	+	1.60342i	0.0743530	+	0.0540206i	−0.549988	+	0.835173i	$0.685368\pi$
$882$	45.1854			1.52147
$883$	−1.01644	−	0.738487i	−0.0342059	−	0.0248521i	0.570551	−	0.821262i	$-0.306730\pi$
$883$	−1.01644	−	0.738487i	−0.0342059	−	0.0248521i	−0.604757	+	0.796410i	$0.706730\pi$
$884$	−2.20267	+	6.77914i	−0.0740840	+	0.228007i
$885$	4.53229	−	0.713338i	0.152351	−	0.0239786i
$886$	−7.66428	−	23.5882i	−0.257487	−	0.792462i
$887$	−2.71250	+	8.34823i	−0.0910770	+	0.280306i	−0.986211	−	0.165490i	$-0.947079\pi$
$887$	−2.71250	+	8.34823i	−0.0910770	+	0.280306i	0.895134	+	0.445796i	$0.147079\pi$
$888$	0.238299	−	0.733409i	0.00799680	−	0.0246116i
$889$	−17.4880	−	53.8227i	−0.586530	−	1.80515i
$890$	1.83181	+	3.60376i	0.0614023	+	0.120798i
$891$	1.26811	−	3.90283i	0.0424832	−	0.130750i
$892$	−4.15167	−	3.01636i	−0.139008	−	0.100995i
$893$	−5.24965			−0.175673
$894$	3.77059	+	2.73949i	0.126107	+	0.0916224i
$895$	−13.0352	−	25.6445i	−0.435718	−	0.857199i
$896$	3.94218	−	2.86416i	0.131699	−	0.0956850i
$897$	3.96142	−	2.87814i	0.132268	−	0.0960982i
$898$	0.398513	+	1.22650i	0.0132986	+	0.0409287i
$899$	21.8403			0.728415
$900$	−0.0261849	+	13.4928i	−0.000872831	+	0.449760i
$901$	37.7544			1.25778
$902$	−0.292693	−	0.900816i	−0.00974561	−	0.0299939i
$903$	−10.2758	+	7.46580i	−0.341957	+	0.248446i
$904$	0.341889	−	0.248397i	0.0113711	−	0.00826157i
$905$	3.25857	−	3.25226i	0.108319	−	0.108109i
$906$	−0.326743	−	0.237393i	−0.0108553	−	0.00788684i
$907$	−44.5948			−1.48075			−0.740374	−	0.672195i	$-0.765351\pi$
$907$	−44.5948			−1.48075			−0.740374	+	0.672195i	$0.765351\pi$
$908$	−3.81275	−	2.77013i	−0.126531	−	0.0919299i
$909$	−9.16490	+	28.2067i	−0.303980	+	0.935556i
$910$	−4.68661	+	29.4054i	−0.155360	+	0.974780i
$911$	−3.55001	−	10.9258i	−0.117617	−	0.361988i	0.874867	−	0.484364i	$-0.160949\pi$
$911$	−3.55001	−	10.9258i	−0.117617	−	0.361988i	−0.992484	+	0.122375i	$0.960949\pi$
$912$	0.169660	−	0.522159i	0.00561800	−	0.0172904i
$913$	0.552324	−	1.69988i	0.0182793	−	0.0562578i
$914$	9.46581	+	29.1328i	0.313101	+	0.963626i
$915$	7.14548	−	7.13163i	0.236222	−	0.235764i
$916$	−7.90033	+	24.3147i	−0.261034	+	0.803381i
$917$	65.8437	+	47.8382i	2.17435	+	1.57976i
$918$	8.16056			0.269339
$919$	10.2957	+	7.48028i	0.339625	+	0.246752i	0.744503	−	0.667619i	$-0.232686\pi$
$919$	10.2957	+	7.48028i	0.339625	+	0.246752i	−0.404879	+	0.914370i	$0.632686\pi$
$920$	−6.49886	−	3.31928i	−0.214261	−	0.109433i
$921$	−6.35850	+	4.61972i	−0.209520	+	0.152225i
$922$	−9.91497	+	7.20365i	−0.326532	+	0.237240i
$923$	0.853093	+	2.62555i	0.0280799	+	0.0864210i
$924$	1.72135			0.0566281
$925$	4.13895	−	5.67359i	0.136088	−	0.186546i
$926$	−18.9287			−0.622037
$927$	−13.0856	−	40.2733i	−0.429787	−	1.32275i
$928$	4.84526	−	3.52029i	0.159054	−	0.115559i
$929$	−30.9154	+	22.4614i	−1.01430	+	0.736934i	−0.965107	−	0.261855i	$-0.915666\pi$
$929$	−30.9154	+	22.4614i	−1.01430	+	0.736934i	−0.0491954	+	0.998789i	$0.515666\pi$
$930$	4.42249	−	0.696055i	0.145019	−	0.0228246i
$931$	−13.5464	−	9.84202i	−0.443964	−	0.322559i
$932$	11.3762			0.372641
$933$	6.80602	+	4.94486i	0.222819	+	0.161888i
$934$	8.31473	−	25.5901i	0.272066	−	0.837334i
$935$	3.34196	+	1.70690i	0.109294	+	0.0558216i
$936$	−2.27890	−	7.01374i	−0.0744882	−	0.229251i
$937$	8.70366	−	26.7871i	0.284336	−	0.875096i	−0.702261	−	0.711920i	$-0.747826\pi$
$937$	8.70366	−	26.7871i	0.284336	−	0.875096i	0.986597	−	0.163177i	$-0.0521740\pi$
$938$	16.0243	−	49.3178i	0.523213	−	1.61028i
$939$	3.46704	+	10.6705i	0.113143	+	0.348217i
$940$	−10.4540	−	5.33935i	−0.340971	−	0.174150i
$941$	14.5904	−	44.9047i	0.475634	−	1.46385i	−0.369467	−	0.929244i	$-0.620460\pi$
$941$	14.5904	−	44.9047i	0.475634	−	1.46385i	0.845101	−	0.534607i	$-0.179540\pi$
$942$	−8.56251	−	6.22103i	−0.278982	−	0.202692i
$943$	4.80423			0.156447
$944$	3.02348	+	2.19669i	0.0984060	+	0.0714962i
$945$	33.6754	−	5.30017i	1.09546	−	0.172414i
$946$	2.47134	−	1.79553i	0.0803501	−	0.0583778i
$947$	−30.2441	+	21.9736i	−0.982801	+	0.714047i	−0.958333	−	0.285654i	$-0.907789\pi$
$947$	−30.2441	+	21.9736i	−0.982801	+	0.714047i	−0.0244682	+	0.999701i	$0.507789\pi$
$948$	−1.76815	−	5.44180i	−0.0574268	−	0.176742i
$949$	−16.8332			−0.546427
$950$	2.94677	−	4.03937i	0.0956059	−	0.131055i
$951$	11.4333			0.370749
$952$	−3.92753	−	12.0877i	−0.127292	−	0.391764i
$953$	21.3313	−	15.4981i	0.690988	−	0.502032i	−0.185997	−	0.982550i	$-0.559551\pi$
$953$	21.3313	−	15.4981i	0.690988	−	0.502032i	0.876985	+	0.480518i	$0.159551\pi$
$954$	−31.6009	+	22.9594i	−1.02312	+	0.743339i
$955$	−31.1522	−	15.9110i	−1.00806	−	0.514866i
$956$	21.1304	+	15.3522i	0.683407	+	0.496525i
$957$	2.11567			0.0683900
$958$	−27.8321	−	20.2212i	−0.899213	−	0.653317i
$959$	−23.6961	+	72.9291i	−0.765187	+	2.35500i
$960$	0.868936	−	0.867251i	0.0280448	−	0.0279904i
$961$	−5.47011	−	16.8353i	−0.176455	−	0.543073i
$962$	−1.18614	+	3.65056i	−0.0382427	+	0.117699i
$963$	5.08373	−	15.6461i	0.163821	−	0.504189i
$964$	8.69735	+	26.7677i	0.280123	+	0.862129i
$965$	−9.34090	+	58.6080i	−0.300694	+	1.88666i
$966$	−2.69801	+	8.30363i	−0.0868072	+	0.267165i
$967$	46.0329	+	33.4448i	1.48032	+	1.07551i	0.977454	+	0.211148i	$0.0677201\pi$
$967$	46.0329	+	33.4448i	1.48032	+	1.07551i	0.502863	+	0.864366i	$0.332280\pi$
$968$	10.5860			0.340247
$969$	−1.15854	−	0.841731i	−0.0372178	−	0.0270403i
$970$	−0.907043	+	0.905285i	−0.0291234	+	0.0290669i
$971$	23.5225	−	17.0901i	0.754873	−	0.548447i	−0.142461	−	0.989800i	$-0.545501\pi$
$971$	23.5225	−	17.0901i	0.754873	−	0.548447i	0.897333	+	0.441353i	$0.145501\pi$
$972$	−10.4264	+	7.57523i	−0.334427	+	0.242976i
$973$	−3.03226	−	9.33234i	−0.0972099	−	0.299181i
$974$	−35.6243			−1.14148
$975$	−0.0145588	+	7.50198i	−0.000466255	+	0.240256i
$976$	8.22325			0.263220
$977$	−0.0199339	−	0.0613503i	−0.000637742	−	0.00196277i	0.950737	−	0.309998i	$-0.100328\pi$
$977$	−0.0199339	−	0.0613503i	−0.000637742	−	0.00196277i	−0.951375	+	0.308035i	$0.900328\pi$
$978$	−3.42578	+	2.48897i	−0.109544	+	0.0795886i
$979$	−0.941079	+	0.683734i	−0.0300770	+	0.0218522i
$980$	−16.9656	−	33.3769i	−0.541946	−	1.06619i
$981$	38.2560	+	27.7946i	1.22142	+	0.887415i
$982$	−42.8378			−1.36701
$983$	28.2362	+	20.5148i	0.900596	+	0.654322i	0.938619	−	0.344955i	$-0.112106\pi$
$983$	28.2362	+	20.5148i	0.900596	+	0.654322i	−0.0380227	+	0.999277i	$0.512106\pi$
$984$	−0.249756	+	0.768671i	−0.00796194	+	0.0245043i
$985$	4.54614	+	8.94375i	0.144852	+	0.284972i
$986$	−4.82725	−	14.8567i	−0.153731	−	0.473135i
$987$	−4.33999	+	13.3571i	−0.138143	+	0.425161i
$988$	−0.844486	+	2.59906i	−0.0268667	+	0.0826871i
$989$	4.78796	+	14.7358i	0.152248	+	0.468572i
$990$	−3.83528	+	0.603634i	−0.121893	+	0.0191847i
$991$	6.14690	−	18.9182i	0.195263	−	0.600957i	−0.804711	−	0.593667i	$-0.797680\pi$
$991$	6.14690	−	18.9182i	0.195263	−	0.600957i	0.999973	−	0.00728989i	$-0.00232046\pi$
$992$	2.95023	+	2.14347i	0.0936700	+	0.0680553i
$993$	13.4313			0.426230
$994$	−3.98236	−	2.89335i	−0.126313	−	0.0917716i
$995$	−2.75480	+	17.2846i	−0.0873331	+	0.547957i
$996$	−1.23388	+	0.896468i	−0.0390970	+	0.0284057i
$997$	−6.60668	+	4.80003i	−0.209236	+	0.152019i	−0.687468	−	0.726215i	$-0.741278\pi$
$997$	−6.60668	+	4.80003i	−0.209236	+	0.152019i	0.478232	+	0.878233i	$0.341278\pi$
$998$	5.66407	+	17.4322i	0.179293	+	0.551807i
$999$	4.39446			0.139035

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.h.e.381.5	✓	44
25.21	even	5	inner	950.2.h.e.571.5	yes	44

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.h.e.381.5	✓	44	1.1	even	1	trivial
950.2.h.e.571.5	yes	44	25.21	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)

\(f(q)\)	\(=\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-0.444175 + 0.322712i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.351941 + 2.20820i) q^{5} +(0.444175 + 0.322712i) q^{6} +4.87281 q^{7} +(0.809017 + 0.587785i) q^{8} +(-0.833903 + 2.56649i) q^{9} +O(q^{10})\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-0.444175 + 0.322712i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.351941 + 2.20820i) q^{5} +(0.444175 + 0.322712i) q^{6} +4.87281 q^{7} +(0.809017 + 0.587785i) q^{8} +(-0.833903 + 2.56649i) q^{9} +(2.20888 - 0.347655i) q^{10} +(0.198827 + 0.611926i) q^{11} +(0.169660 - 0.522159i) q^{12} +(-0.844486 + 2.59906i) q^{13} +(-1.50578 - 4.63431i) q^{14} +(-0.556289 - 1.09440i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-2.11016 - 1.53312i) q^{17} +2.69857 q^{18} +(-0.809017 - 0.587785i) q^{19} +(-1.01322 - 1.99334i) q^{20} +(-2.16438 + 1.57251i) q^{21} +(0.520535 - 0.378191i) q^{22} +(1.00848 + 3.10379i) q^{23} -0.549031 q^{24} +(-4.75228 - 1.55431i) q^{25} +2.73281 q^{26} +(-0.966818 - 2.97556i) q^{27} +(-3.94218 + 2.86416i) q^{28} +(-4.84526 + 3.52029i) q^{29} +(-0.868936 + 0.867251i) q^{30} +(-2.95023 - 2.14347i) q^{31} -1.00000 q^{32} +(-0.285790 - 0.207638i) q^{33} +(-0.806010 + 2.48064i) q^{34} +(-1.71494 + 10.7601i) q^{35} +(-0.833903 - 2.56649i) q^{36} +(-0.434036 + 1.33583i) q^{37} +(-0.309017 + 0.951057i) q^{38} +(-0.463649 - 1.42696i) q^{39} +(-1.58267 + 1.57960i) q^{40} +(0.454904 - 1.40005i) q^{41} +(2.16438 + 1.57251i) q^{42} +4.74769 q^{43} +(-0.520535 - 0.378191i) q^{44} +(-5.37383 - 2.74467i) q^{45} +(2.64024 - 1.91825i) q^{46} +(4.24706 - 3.08567i) q^{47} +(0.169660 + 0.522159i) q^{48} +16.7442 q^{49} +(-0.00970328 + 4.99999i) q^{50} +1.43204 q^{51} +(-0.844486 - 2.59906i) q^{52} +(-11.7103 + 8.50801i) q^{53} +(-2.53116 + 1.83900i) q^{54} +(-1.42123 + 0.223687i) q^{55} +(3.94218 + 2.86416i) q^{56} +0.549031 q^{57} +(4.84526 + 3.52029i) q^{58} +(-1.15487 + 3.55432i) q^{59} +(1.09332 + 0.558412i) q^{60} +(2.54113 + 7.82078i) q^{61} +(-1.12689 + 3.46821i) q^{62} +(-4.06345 + 12.5060i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-5.44203 - 2.77951i) q^{65} +(-0.109162 + 0.335966i) q^{66} +(8.60947 + 6.25514i) q^{67} +2.60830 q^{68} +(-1.44957 - 1.05318i) q^{69} +(10.7634 - 1.69406i) q^{70} +(0.817262 - 0.593776i) q^{71} +(-2.18319 + 1.58618i) q^{72} +(1.90343 + 5.85817i) q^{73} +1.40457 q^{74} +(2.61244 - 0.843231i) q^{75} +1.00000 q^{76} +(0.968844 + 2.98179i) q^{77} +(-1.21385 + 0.881912i) q^{78} +(8.43136 - 6.12574i) q^{79} +(1.99137 + 1.01709i) q^{80} +(-5.15987 - 3.74887i) q^{81} -1.47210 q^{82} +(-2.24738 - 1.63282i) q^{83} +(0.826719 - 2.54438i) q^{84} +(4.12809 - 4.12008i) q^{85} +(-1.46712 - 4.51532i) q^{86} +(1.01611 - 3.12725i) q^{87} +(-0.198827 + 0.611926i) q^{88} +(0.558674 + 1.71942i) q^{89} +(-0.949736 + 5.95897i) q^{90} +(-4.11502 + 12.6647i) q^{91} +(-2.64024 - 1.91825i) q^{92} +2.00214 q^{93} +(-4.24706 - 3.08567i) q^{94} +(1.58267 - 1.57960i) q^{95} +(0.444175 - 0.322712i) q^{96} +(-0.463655 + 0.336865i) q^{97} +(-5.17425 - 15.9247i) q^{98} -1.73630 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 44 q + 11 q^{2} - q^{3} - 11 q^{4} - 5 q^{5} + q^{6} + 28 q^{7} + 11 q^{8} - 8 q^{9}+O(q^{10}) \) 44 * q + 11 * q^2 - q^3 - 11 * q^4 - 5 * q^5 + q^6 + 28 * q^7 + 11 * q^8 - 8 * q^9	\( 44 q + 11 q^{2} - q^{3} - 11 q^{4} - 5 q^{5} + q^{6} + 28 q^{7} + 11 q^{8} - 8 q^{9} + 5 q^{10} - 6 q^{12} - 10 q^{13} + 12 q^{14} - 11 q^{16} - 20 q^{17} - 42 q^{18} - 11 q^{19} + 5 q^{20} - 3 q^{21} - 10 q^{22} - 6 q^{23} - 14 q^{24} - 15 q^{25} - 40 q^{26} + 5 q^{27} - 2 q^{28} + 6 q^{29} - 5 q^{31} - 44 q^{32} - 36 q^{33} - 10 q^{34} - 8 q^{36} - 10 q^{37} + 11 q^{38} + 39 q^{39} - 22 q^{41} + 3 q^{42} + 68 q^{43} + 10 q^{44} + 20 q^{45} + 6 q^{46} + 19 q^{47} - 6 q^{48} + 40 q^{49} - 30 q^{50} + 86 q^{51} - 10 q^{52} + 30 q^{54} + 2 q^{56} + 14 q^{57} - 6 q^{58} - 4 q^{59} + 15 q^{60} + 26 q^{61} - 15 q^{62} - 41 q^{63} - 11 q^{64} + 30 q^{65} - 4 q^{66} - 59 q^{67} + 20 q^{68} - 59 q^{69} - 25 q^{70} + 30 q^{71} + 13 q^{72} - 38 q^{73} - 50 q^{74} - 15 q^{75} + 44 q^{76} + 29 q^{77} + 16 q^{78} + 3 q^{79} + 5 q^{80} - 54 q^{81} - 8 q^{82} + 9 q^{83} + 7 q^{84} + 12 q^{86} - 43 q^{87} + 33 q^{89} - 6 q^{91} - 6 q^{92} + 84 q^{93} - 19 q^{94} + q^{96} + 30 q^{97} - 15 q^{98} - 54 q^{99}+O(q^{100}) \) 44 * q + 11 * q^2 - q^3 - 11 * q^4 - 5 * q^5 + q^6 + 28 * q^7 + 11 * q^8 - 8 * q^9 + 5 * q^10 - 6 * q^12 - 10 * q^13 + 12 * q^14 - 11 * q^16 - 20 * q^17 - 42 * q^18 - 11 * q^19 + 5 * q^20 - 3 * q^21 - 10 * q^22 - 6 * q^23 - 14 * q^24 - 15 * q^25 - 40 * q^26 + 5 * q^27 - 2 * q^28 + 6 * q^29 - 5 * q^31 - 44 * q^32 - 36 * q^33 - 10 * q^34 - 8 * q^36 - 10 * q^37 + 11 * q^38 + 39 * q^39 - 22 * q^41 + 3 * q^42 + 68 * q^43 + 10 * q^44 + 20 * q^45 + 6 * q^46 + 19 * q^47 - 6 * q^48 + 40 * q^49 - 30 * q^50 + 86 * q^51 - 10 * q^52 + 30 * q^54 + 2 * q^56 + 14 * q^57 - 6 * q^58 - 4 * q^59 + 15 * q^60 + 26 * q^61 - 15 * q^62 - 41 * q^63 - 11 * q^64 + 30 * q^65 - 4 * q^66 - 59 * q^67 + 20 * q^68 - 59 * q^69 - 25 * q^70 + 30 * q^71 + 13 * q^72 - 38 * q^73 - 50 * q^74 - 15 * q^75 + 44 * q^76 + 29 * q^77 + 16 * q^78 + 3 * q^79 + 5 * q^80 - 54 * q^81 - 8 * q^82 + 9 * q^83 + 7 * q^84 + 12 * q^86 - 43 * q^87 + 33 * q^89 - 6 * q^91 - 6 * q^92 + 84 * q^93 - 19 * q^94 + q^96 + 30 * q^97 - 15 * q^98 - 54 * q^99

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