LMFDB - Embedded newform 959.2.e.b.275.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [959,2,Mod(275,959)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(959, base_ring=CyclotomicField(6))

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("959.275");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 959 = 7 \cdot 137 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	959.e (of order $3$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.65765355384$
Analytic rank:	$0$
Dimension:	$90$
Relative dimension:	$45$ over $\Q(\zeta_{3})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label			275.8
Character	$\chi$	$=$	959.275
Dual form			959.2.e.b.823.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.964429 + 1.67044i) q^{2} +(-1.14869 - 1.98958i) q^{3} +(-0.860245 - 1.48999i) q^{4} +(0.545938 - 0.945592i) q^{5} +4.43130 q^{6} +(-1.37640 - 2.25954i) q^{7} -0.539134 q^{8} +(-1.13896 + 1.97273i) q^{9} +O(q^{10})$	\(q+(-0.964429 + 1.67044i) q^{2} +(-1.14869 - 1.98958i) q^{3} +(-0.860245 - 1.48999i) q^{4} +(0.545938 - 0.945592i) q^{5} +4.43130 q^{6} +(-1.37640 - 2.25954i) q^{7} -0.539134 q^{8} +(-1.13896 + 1.97273i) q^{9} +(1.05304 + 1.82391i) q^{10} +(0.0464385 + 0.0804338i) q^{11} +(-1.97630 + 3.42306i) q^{12} -5.52150 q^{13} +(5.10186 - 0.120038i) q^{14} -2.50845 q^{15} +(2.24045 - 3.88057i) q^{16} +(-0.740490 - 1.28257i) q^{17} +(-2.19689 - 3.80512i) q^{18} +(-0.381272 + 0.660382i) q^{19} -1.87856 q^{20} +(-2.91448 + 5.33397i) q^{21} -0.179146 q^{22} +(2.68386 - 4.64859i) q^{23} +(0.619296 + 1.07265i) q^{24} +(1.90390 + 3.29766i) q^{25} +(5.32509 - 9.22332i) q^{26} -1.65889 q^{27} +(-2.18264 + 3.99458i) q^{28} -1.44696 q^{29} +(2.41922 - 4.19021i) q^{30} +(3.59707 + 6.23031i) q^{31} +(3.78237 + 6.55125i) q^{32} +(0.106686 - 0.184786i) q^{33} +2.85660 q^{34} +(-2.88803 + 0.0679501i) q^{35} +3.91913 q^{36} +(-1.68310 + 2.91522i) q^{37} +(-0.735419 - 1.27378i) q^{38} +(6.34246 + 10.9855i) q^{39} +(-0.294334 + 0.509801i) q^{40} -5.80988 q^{41} +(-6.09926 - 10.0127i) q^{42} +10.7384 q^{43} +(0.0798969 - 0.138386i) q^{44} +(1.24360 + 2.15398i) q^{45} +(5.17679 + 8.96646i) q^{46} +(-4.90112 + 8.48899i) q^{47} -10.2943 q^{48} +(-3.21102 + 6.22008i) q^{49} -7.34472 q^{50} +(-1.70118 + 2.94653i) q^{51} +(4.74984 + 8.22696i) q^{52} +(0.202945 + 0.351512i) q^{53} +(1.59988 - 2.77108i) q^{54} +0.101410 q^{55} +(0.742067 + 1.21819i) q^{56} +1.75185 q^{57} +(1.39549 - 2.41706i) q^{58} +(5.15393 + 8.92687i) q^{59} +(2.15788 + 3.73755i) q^{60} +(4.38234 - 7.59043i) q^{61} -13.8765 q^{62} +(6.02513 - 0.141760i) q^{63} -5.62951 q^{64} +(-3.01439 + 5.22108i) q^{65} +(0.205783 + 0.356426i) q^{66} +(-0.763420 - 1.32228i) q^{67} +(-1.27401 + 2.20664i) q^{68} -12.3317 q^{69} +(2.67180 - 4.88982i) q^{70} -4.98542 q^{71} +(0.614052 - 1.06357i) q^{72} +(-5.16145 - 8.93989i) q^{73} +(-3.24647 - 5.62305i) q^{74} +(4.37397 - 7.57594i) q^{75} +1.31195 q^{76} +(0.117825 - 0.215639i) q^{77} -24.4674 q^{78} +(-4.83150 + 8.36840i) q^{79} +(-2.44629 - 4.23710i) q^{80} +(5.32242 + 9.21871i) q^{81} +(5.60322 - 9.70506i) q^{82} -11.7043 q^{83} +(10.4547 - 0.245980i) q^{84} -1.61705 q^{85} +(-10.3564 + 17.9379i) q^{86} +(1.66210 + 2.87884i) q^{87} +(-0.0250366 - 0.0433646i) q^{88} +(-5.28127 + 9.14743i) q^{89} -4.79746 q^{90} +(7.59981 + 12.4760i) q^{91} -9.23512 q^{92} +(8.26382 - 14.3133i) q^{93} +(-9.45356 - 16.3740i) q^{94} +(0.416302 + 0.721055i) q^{95} +(8.68951 - 15.0507i) q^{96} -12.5772 q^{97} +(-7.29346 - 11.3626i) q^{98} -0.211566 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 90 q + 11 q^{3} - 44 q^{4} + 4 q^{5} - 20 q^{6} - q^{7} - 6 q^{8} - 44 q^{9}+O(q^{10}) $ 90 * q + 11 * q^3 - 44 * q^4 + 4 * q^5 - 20 * q^6 - q^7 - 6 * q^8 - 44 * q^9	\( 90 q + 11 q^{3} - 44 q^{4} + 4 q^{5} - 20 q^{6} - q^{7} - 6 q^{8} - 44 q^{9} + 25 q^{10} + 33 q^{12} - 72 q^{13} - 38 q^{16} + 18 q^{17} + 5 q^{18} + 43 q^{19} - 20 q^{20} + 8 q^{21} + q^{23} + 20 q^{24} - 43 q^{25} + 2 q^{26} - 106 q^{27} + 7 q^{28} - 8 q^{29} + 12 q^{30} + 59 q^{31} + 11 q^{32} + 37 q^{33} - 96 q^{34} + 2 q^{35} + 28 q^{36} + 39 q^{38} - 16 q^{39} + 56 q^{40} - 30 q^{41} + 26 q^{42} - 2 q^{43} + 2 q^{44} + 28 q^{45} - 31 q^{46} + 58 q^{47} - 24 q^{48} + 15 q^{49} - 148 q^{50} + 5 q^{51} + 115 q^{52} - 10 q^{53} + 39 q^{54} - 162 q^{55} + 63 q^{56} - 36 q^{57} + 11 q^{58} + 41 q^{59} - 90 q^{60} + 40 q^{61} + 58 q^{62} + 53 q^{63} + 30 q^{64} + 9 q^{65} + 42 q^{66} + 56 q^{68} - 10 q^{69} + 84 q^{70} - 84 q^{71} + 11 q^{72} + 67 q^{73} - 39 q^{74} + 40 q^{75} - 136 q^{76} + 21 q^{77} - 156 q^{78} + 9 q^{79} + 14 q^{80} - 73 q^{81} + 34 q^{82} - 96 q^{83} + 28 q^{84} + 12 q^{85} + 13 q^{86} + 135 q^{87} - 47 q^{88} + 17 q^{89} + 88 q^{90} + 26 q^{91} - 122 q^{92} + q^{93} + 28 q^{94} - 47 q^{95} + 50 q^{96} - 162 q^{97} + 128 q^{98} - 70 q^{99}+O(q^{100}) \) 90 * q + 11 * q^3 - 44 * q^4 + 4 * q^5 - 20 * q^6 - q^7 - 6 * q^8 - 44 * q^9 + 25 * q^10 + 33 * q^12 - 72 * q^13 - 38 * q^16 + 18 * q^17 + 5 * q^18 + 43 * q^19 - 20 * q^20 + 8 * q^21 + q^23 + 20 * q^24 - 43 * q^25 + 2 * q^26 - 106 * q^27 + 7 * q^28 - 8 * q^29 + 12 * q^30 + 59 * q^31 + 11 * q^32 + 37 * q^33 - 96 * q^34 + 2 * q^35 + 28 * q^36 + 39 * q^38 - 16 * q^39 + 56 * q^40 - 30 * q^41 + 26 * q^42 - 2 * q^43 + 2 * q^44 + 28 * q^45 - 31 * q^46 + 58 * q^47 - 24 * q^48 + 15 * q^49 - 148 * q^50 + 5 * q^51 + 115 * q^52 - 10 * q^53 + 39 * q^54 - 162 * q^55 + 63 * q^56 - 36 * q^57 + 11 * q^58 + 41 * q^59 - 90 * q^60 + 40 * q^61 + 58 * q^62 + 53 * q^63 + 30 * q^64 + 9 * q^65 + 42 * q^66 + 56 * q^68 - 10 * q^69 + 84 * q^70 - 84 * q^71 + 11 * q^72 + 67 * q^73 - 39 * q^74 + 40 * q^75 - 136 * q^76 + 21 * q^77 - 156 * q^78 + 9 * q^79 + 14 * q^80 - 73 * q^81 + 34 * q^82 - 96 * q^83 + 28 * q^84 + 12 * q^85 + 13 * q^86 + 135 * q^87 - 47 * q^88 + 17 * q^89 + 88 * q^90 + 26 * q^91 - 122 * q^92 + q^93 + 28 * q^94 - 47 * q^95 + 50 * q^96 - 162 * q^97 + 128 * q^98 - 70 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/959\mathbb{Z}\right)^\times$.

$n$	$414$	$549$
$\chi(n)$	$1$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−0.964429	+	1.67044i	−0.681954	+	1.18118i	0.292430	+	0.956287i	$0.405536\pi$
$2$	−0.964429	+	1.67044i	−0.681954	+	1.18118i	−0.974384	+	0.224892i	$0.927797\pi$
$3$	−1.14869	−	1.98958i	−0.663194	−	1.14869i	−0.979772	−	0.200119i	$-0.935867\pi$
$3$	−1.14869	−	1.98958i	−0.663194	−	1.14869i	0.316577	−	0.948567i	$-0.397466\pi$
$4$	−0.860245	−	1.48999i	−0.430123	−	0.744994i
$5$	0.545938	−	0.945592i	0.244151	−	0.422882i	−0.717742	−	0.696310i	$-0.754824\pi$
$5$	0.545938	−	0.945592i	0.244151	−	0.422882i	0.961893	+	0.273428i	$0.0881574\pi$
$6$	4.43130			1.80907
$7$	−1.37640	−	2.25954i	−0.520232	−	0.854025i
$7$	−1.37640	−	2.25954i	−0.520232	−	0.854025i
$8$	−0.539134			−0.190613
$9$	−1.13896	+	1.97273i	−0.379653	+	0.657578i
$10$	1.05304	+	1.82391i	0.332999	+	0.576772i
$11$	0.0464385	+	0.0804338i	0.0140017	+	0.0242517i	0.872941	−	0.487825i	$-0.162210\pi$
$11$	0.0464385	+	0.0804338i	0.0140017	+	0.0242517i	−0.858940	+	0.512077i	$0.828876\pi$
$12$	−1.97630	+	3.42306i	−0.570509	+	0.988151i
$13$	−5.52150			−1.53139			−0.765694	−	0.643205i	$-0.777604\pi$
$13$	−5.52150			−1.53139			−0.765694	+	0.643205i	$0.777604\pi$
$14$	5.10186	−	0.120038i	1.36353	−	0.0320814i
$15$	−2.50845			−0.647678
$16$	2.24045	−	3.88057i	0.560112	−	0.970142i
$17$	−0.740490	−	1.28257i	−0.179595	−	0.311068i	0.762147	−	0.647404i	$-0.224145\pi$
$17$	−0.740490	−	1.28257i	−0.179595	−	0.311068i	−0.941742	+	0.336336i	$0.890812\pi$
$18$	−2.19689	−	3.80512i	−0.517812	−	0.896876i
$19$	−0.381272	+	0.660382i	−0.0874697	+	0.151502i	−0.906441	−	0.422333i	$-0.861211\pi$
$19$	−0.381272	+	0.660382i	−0.0874697	+	0.151502i	0.818971	+	0.573835i	$0.194545\pi$
$20$	−1.87856			−0.420059
$21$	−2.91448	+	5.33397i	−0.635992	+	1.16397i
$22$	−0.179146			−0.0381941
$23$	2.68386	−	4.64859i	0.559624	−	0.969298i	−0.437903	−	0.899022i	$-0.644279\pi$
$23$	2.68386	−	4.64859i	0.559624	−	0.969298i	0.997528	−	0.0702756i	$-0.0223879\pi$
$24$	0.619296	+	1.07265i	0.126413	+	0.218954i
$25$	1.90390	+	3.29766i	0.380781	+	0.659531i
$26$	5.32509	−	9.22332i	1.04434	−	1.80884i
$27$	−1.65889			−0.319254
$28$	−2.18264	+	3.99458i	−0.412480	+	0.754905i
$29$	−1.44696			−0.268693			−0.134347	−	0.990934i	$-0.542894\pi$
$29$	−1.44696			−0.268693			−0.134347	+	0.990934i	$0.542894\pi$
$30$	2.41922	−	4.19021i	0.441686	−	0.765023i
$31$	3.59707	+	6.23031i	0.646054	+	1.11900i	0.984057	+	0.177853i	$0.0569151\pi$
$31$	3.59707	+	6.23031i	0.646054	+	1.11900i	−0.338004	+	0.941145i	$0.609752\pi$
$32$	3.78237	+	6.55125i	0.668634	+	1.15811i
$33$	0.106686	−	0.184786i	0.0185717	−	0.0321672i
$34$	2.85660			0.489903
$35$	−2.88803	+	0.0679501i	−0.488167	+	0.0114857i
$36$	3.91913			0.653189
$37$	−1.68310	+	2.91522i	−0.276701	+	0.479260i	−0.970563	−	0.240848i	$-0.922574\pi$
$37$	−1.68310	+	2.91522i	−0.276701	+	0.479260i	0.693862	+	0.720108i	$0.255908\pi$
$38$	−0.735419	−	1.27378i	−0.119301	−	0.206635i
$39$	6.34246	+	10.9855i	1.01561	+	1.75908i
$40$	−0.294334	+	0.509801i	−0.0465383	+	0.0806067i
$41$	−5.80988			−0.907351			−0.453676	−	0.891167i	$-0.649888\pi$
$41$	−5.80988			−0.907351			−0.453676	+	0.891167i	$0.649888\pi$
$42$	−6.09926	−	10.0127i	−0.941137	−	1.54499i
$43$	10.7384			1.63759			0.818797	−	0.574084i	$-0.194642\pi$
$43$	10.7384			1.63759			0.818797	+	0.574084i	$0.194642\pi$
$44$	0.0798969	−	0.138386i	0.0120449	−	0.0208624i
$45$	1.24360	+	2.15398i	0.185385	+	0.321097i
$46$	5.17679	+	8.96646i	0.763276	+	1.32203i
$47$	−4.90112	+	8.48899i	−0.714902	+	1.23825i	0.248096	+	0.968735i	$0.420195\pi$
$47$	−4.90112	+	8.48899i	−0.714902	+	1.23825i	−0.962997	+	0.269510i	$0.913138\pi$
$48$	−10.2943			−1.48585
$49$	−3.21102	+	6.22008i	−0.458717	+	0.888582i
$50$	−7.34472			−1.03870
$51$	−1.70118	+	2.94653i	−0.238213	+	0.412597i
$52$	4.74984	+	8.22696i	0.658684	+	1.14087i
$53$	0.202945	+	0.351512i	0.0278767	+	0.0482838i	0.879627	−	0.475664i	$-0.157792\pi$
$53$	0.202945	+	0.351512i	0.0278767	+	0.0482838i	−0.851751	+	0.523948i	$0.824459\pi$
$54$	1.59988	−	2.77108i	0.217717	−	0.377096i
$55$	0.101410			0.0136741
$56$	0.742067	+	1.21819i	0.0991629	+	0.162788i
$57$	1.75185			0.232038
$58$	1.39549	−	2.41706i	0.183237	−	0.317375i
$59$	5.15393	+	8.92687i	0.670984	+	1.16218i	0.977625	+	0.210354i	$0.0674616\pi$
$59$	5.15393	+	8.92687i	0.670984	+	1.16218i	−0.306641	+	0.951825i	$0.599205\pi$
$60$	2.15788	+	3.73755i	0.278581	+	0.482516i
$61$	4.38234	−	7.59043i	0.561101	−	0.971855i	−0.436300	−	0.899801i	$-0.643711\pi$
$61$	4.38234	−	7.59043i	0.561101	−	0.971855i	0.997401	−	0.0720539i	$-0.0229554\pi$
$62$	−13.8765			−1.76232
$63$	6.02513	−	0.141760i	0.759096	−	0.0178601i
$64$	−5.62951			−0.703688
$65$	−3.01439	+	5.22108i	−0.373890	+	0.647596i
$66$	0.205783	+	0.356426i	0.0253301	+	0.0438731i
$67$	−0.763420	−	1.32228i	−0.0932666	−	0.161543i	0.815617	−	0.578592i	$-0.196398\pi$
$67$	−0.763420	−	1.32228i	−0.0932666	−	0.161543i	−0.908884	+	0.417049i	$0.863064\pi$
$68$	−1.27401	+	2.20664i	−0.154496	+	0.267595i
$69$	−12.3317			−1.48456
$70$	2.67180	−	4.88982i	0.319341	−	0.584445i
$71$	−4.98542			−0.591660			−0.295830	−	0.955241i	$-0.595596\pi$
$71$	−4.98542			−0.591660			−0.295830	+	0.955241i	$0.595596\pi$
$72$	0.614052	−	1.06357i	0.0723667	−	0.125343i
$73$	−5.16145	−	8.93989i	−0.604102	−	1.04634i	−0.992193	−	0.124714i	$-0.960199\pi$
$73$	−5.16145	−	8.93989i	−0.604102	−	1.04634i	0.388091	−	0.921621i	$-0.373135\pi$
$74$	−3.24647	−	5.62305i	−0.377394	−	0.653666i
$75$	4.37397	−	7.57594i	0.505063	−	0.874795i
$76$	1.31195			0.150491
$77$	0.117825	−	0.215639i	0.0134274	−	0.0245743i
$78$	−24.4674			−2.77039
$79$	−4.83150	+	8.36840i	−0.543586	+	0.941519i	0.455108	+	0.890436i	$0.349601\pi$
$79$	−4.83150	+	8.36840i	−0.543586	+	0.941519i	−0.998694	+	0.0510827i	$0.983733\pi$
$80$	−2.44629	−	4.23710i	−0.273504	−	0.473722i
$81$	5.32242	+	9.21871i	0.591380	+	1.02430i
$82$	5.60322	−	9.70506i	0.618772	−	1.07174i
$83$	−11.7043			−1.28471			−0.642356	−	0.766406i	$-0.722043\pi$
$83$	−11.7043			−1.28471			−0.642356	+	0.766406i	$0.722043\pi$
$84$	10.4547	−	0.245980i	1.14070	−	0.0268387i
$85$	−1.61705			−0.175393
$86$	−10.3564	+	17.9379i	−1.11676	+	1.93429i
$87$	1.66210	+	2.87884i	0.178196	+	0.308644i
$88$	−0.0250366	−	0.0433646i	−0.00266891	−	0.00462268i
$89$	−5.28127	+	9.14743i	−0.559814	+	0.969626i	0.437698	+	0.899122i	$0.355794\pi$
$89$	−5.28127	+	9.14743i	−0.559814	+	0.969626i	−0.997512	+	0.0705036i	$0.977539\pi$
$90$	−4.79746			−0.505697
$91$	7.59981	+	12.4760i	0.796677	+	1.30784i
$92$	−9.23512			−0.962828
$93$	8.26382	−	14.3133i	0.856918	−	1.48423i
$94$	−9.45356	−	16.3740i	−0.975060	−	1.68885i
$95$	0.416302	+	0.721055i	0.0427116	+	0.0739787i
$96$	8.68951	−	15.0507i	0.886869	−	1.53610i
$97$	−12.5772			−1.27703			−0.638513	−	0.769611i	$-0.720450\pi$
$97$	−12.5772			−1.27703			−0.638513	+	0.769611i	$0.720450\pi$
$98$	−7.29346	−	11.3626i	−0.736751	−	1.14780i
$99$	−0.211566			−0.0212632
$100$	3.27565	−	5.67359i	0.327565	−	0.567359i
$101$	−6.48960	−	11.2403i	−0.645739	−	1.11845i	−0.984130	−	0.177448i	$-0.943216\pi$
$101$	−6.48960	−	11.2403i	−0.645739	−	1.11845i	0.338391	−	0.941006i	$-0.390117\pi$
$102$	−3.28133	−	5.68344i	−0.324901	−	0.562744i
$103$	1.06286	−	1.84094i	0.104727	−	0.181393i	−0.808900	−	0.587947i	$-0.799936\pi$
$103$	1.06286	−	1.84094i	0.104727	−	0.181393i	0.913627	+	0.406554i	$0.133270\pi$
$104$	2.97683			0.291902
$105$	3.45264	+	5.66793i	0.336943	+	0.553133i
$106$	−0.782905			−0.0760424
$107$	−1.13593	+	1.96749i	−0.109815	+	0.190204i	−0.915695	−	0.401874i	$-0.868359\pi$
$107$	−1.13593	+	1.96749i	−0.109815	+	0.190204i	0.805880	+	0.592078i	$0.201692\pi$
$108$	1.42705	+	2.47173i	0.137318	+	0.237842i
$109$	6.34462	+	10.9892i	0.607704	+	1.05257i	0.991618	+	0.129205i	$0.0412426\pi$
$109$	6.34462	+	10.9892i	0.607704	+	1.05257i	−0.383914	+	0.923369i	$0.625424\pi$
$110$	−0.0978028	+	0.169399i	−0.00932513	+	0.0161516i
$111$	7.73343			0.734025
$112$	−11.8521	+	0.278857i	−1.11991	+	0.0263495i
$113$	−6.75715			−0.635659			−0.317830	−	0.948148i	$-0.602954\pi$
$113$	−6.75715			−0.635659			−0.317830	+	0.948148i	$0.602954\pi$
$114$	−1.68953	+	2.92635i	−0.158239	+	0.274078i
$115$	−2.93045	−	5.07568i	−0.273266	−	0.473310i
$116$	1.24474	+	2.15595i	0.115571	+	0.200175i
$117$	6.28876	−	10.8924i	0.581396	−	1.00701i
$118$	−19.8824			−1.83032
$119$	−1.87879	+	3.43849i	−0.172229	+	0.315206i
$120$	1.35239			0.123456
$121$	5.49569	−	9.51881i	0.499608	−	0.865346i
$122$	8.45290	+	14.6409i	0.765290	+	1.32552i
$123$	6.67373	+	11.5592i	0.601750	+	1.04226i
$124$	6.18873	−	10.7192i	0.555764	−	0.962612i
$125$	9.61703			0.860174
$126$	−5.57401	+	10.2013i	−0.496572	+	0.908808i
$127$	16.9966			1.50821			0.754103	−	0.656757i	$-0.228072\pi$
$127$	16.9966			1.50821			0.754103	+	0.656757i	$0.228072\pi$
$128$	−2.13548	+	3.69876i	−0.188751	+	0.326927i
$129$	−12.3351	−	21.3650i	−1.08604	−	1.88108i
$130$	−5.81434	−	10.0707i	−0.509951	−	0.883261i
$131$	0.852729	−	1.47697i	0.0745033	−	0.129043i	−0.826367	−	0.563132i	$-0.809596\pi$
$131$	0.852729	−	1.47697i	0.0745033	−	0.129043i	0.900870	+	0.434089i	$0.142930\pi$
$132$	−0.367106			−0.0319525
$133$	2.01694	−	0.0474550i	0.174891	−	0.00411487i
$134$	2.94506			0.254414
$135$	−0.905653	+	1.56864i	−0.0779462	+	0.135007i
$136$	0.399224	+	0.691476i	0.0342331	+	0.0592935i
$137$	0.500000	+	0.866025i	0.0427179	+	0.0739895i
$137$	0.500000	+	0.866025i	0.0427179	+	0.0739895i
$138$	11.8930	−	20.5993i	1.01240	−	1.75353i
$139$	−12.3348			−1.04622			−0.523112	−	0.852264i	$-0.675229\pi$
$139$	−12.3348			−1.04622			−0.523112	+	0.852264i	$0.675229\pi$
$140$	2.58566	+	4.24468i	0.218528	+	0.358741i
$141$	22.5194			1.89647
$142$	4.80808	−	8.32784i	0.403485	−	0.698857i
$143$	−0.256410	−	0.444115i	−0.0214421	−	0.0371387i
$144$	5.10355	+	8.83961i	0.425296	+	0.736634i
$145$	−0.789950	+	1.36823i	−0.0656018	+	0.113626i
$146$	19.9114			1.64788
$147$	16.0638	−	0.756323i	1.32492	−	0.0623804i
$148$	5.79153			0.476061
$149$	−6.73300	+	11.6619i	−0.551589	+	0.955380i	0.446571	+	0.894748i	$0.352645\pi$
$149$	−6.73300	+	11.6619i	−0.551589	+	0.955380i	−0.998160	+	0.0606321i	$0.980688\pi$
$150$	8.43677	+	14.6129i	0.688859	+	1.19314i
$151$	−0.865392	−	1.49890i	−0.0704246	−	0.121979i	0.828663	−	0.559748i	$-0.189102\pi$
$151$	−0.865392	−	1.49890i	−0.0704246	−	0.121979i	−0.899087	+	0.437769i	$0.855769\pi$
$152$	0.205557	−	0.356035i	0.0166729	−	0.0288782i
$153$	3.37355			0.272735
$154$	0.246578	+	0.404788i	0.0198698	+	0.0326187i
$155$	7.85512			0.630938
$156$	10.9121	−	18.9004i	0.873671	−	1.51324i
$157$	1.44249	+	2.49846i	0.115123	+	0.199399i	0.917829	−	0.396976i	$-0.129940\pi$
$157$	1.44249	+	2.49846i	0.115123	+	0.199399i	−0.802706	+	0.596375i	$0.796607\pi$
$158$	−9.31927	−	16.1415i	−0.741401	−	1.28414i
$159$	0.466241	−	0.807553i	0.0369753	−	0.0640431i
$160$	8.25975			0.652991
$161$	−14.1977	+	0.334047i	−1.11894	+	0.0263266i
$162$	−20.5324			−1.61318
$163$	−7.35563	+	12.7403i	−0.576137	+	0.997899i	0.419780	+	0.907626i	$0.362107\pi$
$163$	−7.35563	+	12.7403i	−0.576137	+	0.997899i	−0.995917	+	0.0902729i	$0.971226\pi$
$164$	4.99792	+	8.65666i	0.390272	+	0.675972i
$165$	−0.116488	−	0.201764i	−0.00906861	−	0.0157073i
$166$	11.2879	−	19.5513i	0.876115	−	1.51748i
$167$	1.01831			0.0787989			0.0393994	−	0.999224i	$-0.487456\pi$
$167$	1.01831			0.0787989			0.0393994	+	0.999224i	$0.487456\pi$
$168$	1.57130	−	2.87573i	0.121228	−	0.221867i
$169$	17.4869			1.34515
$170$	1.55953	−	2.70118i	0.119610	−	0.207171i
$171$	−0.868506	−	1.50430i	−0.0664163	−	0.115036i
$172$	−9.23767	−	16.0001i	−0.704366	−	1.22000i
$173$	4.24585	−	7.35402i	0.322806	−	0.559116i	−0.658260	−	0.752791i	$-0.728707\pi$
$173$	4.24585	−	7.35402i	0.322806	−	0.559116i	0.981066	+	0.193675i	$0.0620406\pi$
$174$	−6.41191			−0.486086
$175$	4.83064	−	8.84085i	0.365162	−	0.668306i
$176$	0.416172			0.0313701
$177$	11.8405	−	20.5083i	0.889986	−	1.54150i
$178$	−10.1868	−	17.6441i	−0.763534	−	1.32248i
$179$	−10.9074	−	18.8921i	−0.815254	−	1.41206i	−0.909145	−	0.416479i	$-0.863264\pi$
$179$	−10.9074	−	18.8921i	−0.815254	−	1.41206i	0.0938916	−	0.995582i	$-0.470069\pi$
$180$	2.13960	−	3.70590i	0.159477	−	0.276222i
$181$	−5.56506			−0.413648			−0.206824	−	0.978378i	$-0.566313\pi$
$181$	−5.56506			−0.413648			−0.206824	+	0.978378i	$0.566313\pi$
$182$	−28.1699	+	0.662787i	−2.08809	+	0.0491290i
$183$	−20.1357			−1.48848
$184$	−1.44696	+	2.50621i	−0.106672	+	0.184761i
$185$	1.83774	+	3.18306i	0.135113	+	0.234023i
$186$	15.9397	+	27.6084i	1.16876	+	2.02435i
$187$	0.0687744	−	0.119121i	0.00502928	−	0.00871098i
$188$	16.8647			1.22998
$189$	2.28331	+	3.74833i	0.166086	+	0.272651i
$190$	−1.60597			−0.116509
$191$	−2.53231	+	4.38610i	−0.183232	+	0.317367i	−0.942979	−	0.332852i	$-0.891989\pi$
$191$	−2.53231	+	4.38610i	−0.183232	+	0.317367i	0.759747	+	0.650218i	$0.225323\pi$
$192$	6.46654	+	11.2004i	0.466682	+	0.808317i
$193$	−9.56038	−	16.5591i	−0.688171	−	1.19195i	−0.972429	−	0.233200i	$-0.925080\pi$
$193$	−9.56038	−	16.5591i	−0.688171	−	1.19195i	0.284258	−	0.958748i	$-0.408253\pi$
$194$	12.1299	−	21.0095i	0.870873	−	1.50840i
$195$	13.8504			0.991846
$196$	12.0301	−	0.566406i	0.859293	−	0.0404576i
$197$	1.14288			0.0814265			0.0407133	−	0.999171i	$-0.487037\pi$
$197$	1.14288			0.0814265			0.0407133	+	0.999171i	$0.487037\pi$
$198$	0.204040	−	0.353408i	0.0145005	−	0.0251156i
$199$	13.0511	+	22.6052i	0.925171	+	1.60244i	0.791286	+	0.611446i	$0.209412\pi$
$199$	13.0511	+	22.6052i	0.925171	+	1.60244i	0.133884	+	0.990997i	$0.457255\pi$
$200$	−1.02646	−	1.77788i	−0.0725817	−	0.125715i
$201$	−1.75386	+	3.03777i	−0.123708	+	0.214268i
$202$	25.0350			1.76146
$203$	1.99160	+	3.26946i	0.139783	+	0.229471i
$204$	5.85373			0.409843
$205$	−3.17184	+	5.49378i	−0.221531	+	0.383702i
$206$	2.05011	+	3.55090i	0.142838	+	0.247403i
$207$	6.11362	+	10.5891i	0.424926	+	0.735993i
$208$	−12.3706	+	21.4265i	−0.857748	+	1.48566i
$209$	−0.0708227			−0.00489891
$210$	−12.7977	+	0.301108i	−0.883129	+	0.0207784i
$211$	13.6521			0.939851			0.469926	−	0.882706i	$-0.344281\pi$
$211$	13.6521			0.939851			0.469926	+	0.882706i	$0.344281\pi$
$212$	0.349165	−	0.604772i	0.0239808	−	0.0415359i
$213$	5.72668	+	9.91890i	0.392386	+	0.679632i
$214$	−2.19105	−	3.79501i	−0.149777	−	0.259421i
$215$	5.86251	−	10.1542i	0.399820	−	0.692508i
$216$	0.894366			0.0608539
$217$	9.12660	−	16.7032i	0.619554	−	1.13388i
$218$	−24.4757			−1.65770
$219$	−11.8578	+	20.5383i	−0.801274	+	1.38785i
$220$	−0.0872375	−	0.151100i	−0.00588155	−	0.0101872i
$221$	4.08861	+	7.08168i	0.275030	+	0.476366i
$222$	−7.45834	+	12.9182i	−0.500571	+	0.867015i
$223$	−11.6557			−0.780521			−0.390261	−	0.920704i	$-0.627615\pi$
$223$	−11.6557			−0.780521			−0.390261	+	0.920704i	$0.627615\pi$
$224$	9.59674	−	17.5636i	0.641209	−	1.17352i
$225$	−8.67387			−0.578258
$226$	6.51679	−	11.2874i	0.433491	−	0.750828i
$227$	12.6880	+	21.9762i	0.842129	+	1.45861i	0.888091	+	0.459667i	$0.152031\pi$
$227$	12.6880	+	21.9762i	0.842129	+	1.45861i	−0.0459624	+	0.998943i	$0.514635\pi$
$228$	−1.50702	−	2.61023i	−0.0998046	−	0.172867i
$229$	14.0174	−	24.2788i	0.926294	−	1.60439i	0.136828	−	0.990595i	$-0.456309\pi$
$229$	14.0174	−	24.2788i	0.926294	−	1.60439i	0.789466	−	0.613794i	$-0.210358\pi$
$230$	11.3048			0.745418
$231$	−0.564375	+	0.0132787i	−0.0371332	+	0.000873675i
$232$	0.780105			0.0512164
$233$	−5.61661	+	9.72826i	−0.367956	+	0.637319i	−0.989246	−	0.146262i	$-0.953276\pi$
$233$	−5.61661	+	9.72826i	−0.367956	+	0.637319i	0.621289	+	0.783581i	$0.286609\pi$
$234$	12.1301	+	21.0100i	0.792970	+	1.37346i
$235$	5.35141	+	9.26892i	0.349088	+	0.604638i
$236$	8.86728	−	15.3586i	0.577211	−	0.999759i
$237$	22.1995			1.44201
$238$	−3.93184	−	6.45459i	−0.254863	−	0.418389i
$239$	−11.1649			−0.722197			−0.361099	−	0.932528i	$-0.617598\pi$
$239$	−11.1649			−0.722197			−0.361099	+	0.932528i	$0.617598\pi$
$240$	−5.62004	+	9.73419i	−0.362772	+	0.628339i
$241$	6.04513	+	10.4705i	0.389401	+	0.674462i	0.992369	−	0.123303i	$-0.0393488\pi$
$241$	6.04513	+	10.4705i	0.389401	+	0.674462i	−0.602968	+	0.797765i	$0.706015\pi$
$242$	10.6004	+	18.3604i	0.681419	+	1.18025i
$243$	9.73924	−	16.8689i	0.624773	−	1.08214i
$244$	−15.0795			−0.965369
$245$	4.12864	+	6.43209i	0.263769	+	0.410931i
$246$	−25.7454			−1.64146
$247$	2.10519	−	3.64630i	0.133950	−	0.232008i
$248$	−1.93931	−	3.35898i	−0.123146	−	0.213295i
$249$	13.4445	+	23.2866i	0.852014	+	1.47573i
$250$	−9.27494	+	16.0647i	−0.586599	+	1.01602i
$251$	−9.17226			−0.578948			−0.289474	−	0.957186i	$-0.593480\pi$
$251$	−9.17226			−0.578948			−0.289474	+	0.957186i	$0.593480\pi$
$252$	−5.39431	−	8.85543i	−0.339810	−	0.557840i
$253$	0.498538			0.0313428
$254$	−16.3920	+	28.3918i	−1.02853	+	1.78146i
$255$	1.85748	+	3.21725i	0.116320	+	0.201472i
$256$	−9.74854	−	16.8850i	−0.609284	−	1.05531i
$257$	−8.80363	+	15.2483i	−0.549156	+	0.951165i	0.449177	+	0.893443i	$0.351717\pi$
$257$	−8.80363	+	15.2483i	−0.549156	+	0.951165i	−0.998333	+	0.0577226i	$0.981616\pi$
$258$	47.5852			2.96252
$259$	8.90369	−	0.209487i	0.553248	−	0.0130169i
$260$	10.3725			0.643273
$261$	1.64803	−	2.85446i	0.102010	−	0.176687i
$262$	1.64479	+	2.84886i	0.101616	+	0.176003i
$263$	2.39670	+	4.15120i	0.147787	+	0.255974i	0.930409	−	0.366523i	$-0.119452\pi$
$263$	2.39670	+	4.15120i	0.147787	+	0.255974i	−0.782623	+	0.622497i	$0.786118\pi$
$264$	−0.0575183	+	0.0996247i	−0.00354001	+	0.00613147i
$265$	0.443182			0.0272245
$266$	−1.86593	+	3.41495i	−0.114407	+	0.209384i
$267$	24.2661			1.48506
$268$	−1.31346	+	2.27497i	−0.0802322	+	0.138966i
$269$	−5.37711	−	9.31342i	−0.327848	−	0.567849i	0.654237	−	0.756290i	$-0.272990\pi$
$269$	−5.37711	−	9.31342i	−0.327848	−	0.567849i	−0.982085	+	0.188441i	$0.939657\pi$
$270$	−1.74687	−	3.02568i	−0.106311	−	0.184137i
$271$	8.00662	−	13.8679i	0.486367	−	0.842413i	−0.513510	−	0.858084i	$-0.671655\pi$
$271$	8.00662	−	13.8679i	0.486367	−	0.842413i	0.999877	+	0.0156708i	$0.00498838\pi$
$272$	−6.63611			−0.402373
$273$	16.0923	−	29.4515i	0.973950	−	1.78249i
$274$	−1.92886			−0.116527
$275$	−0.176829	+	0.306276i	−0.0106632	+	0.0184692i
$276$	10.6083	+	18.3740i	0.638542	+	1.10599i
$277$	−5.66474	−	9.81162i	−0.340361	−	0.589523i	0.644138	−	0.764909i	$-0.277216\pi$
$277$	−5.66474	−	9.81162i	−0.340361	−	0.589523i	−0.984500	+	0.175386i	$0.943883\pi$
$278$	11.8960	−	20.6045i	0.713476	−	1.23578i
$279$	−16.3877			−0.981104
$280$	1.55704	−	0.0366343i	0.0930508	−	0.00218932i
$281$	−28.0552			−1.67363			−0.836815	−	0.547486i	$-0.815585\pi$
$281$	−28.0552			−1.67363			−0.836815	+	0.547486i	$0.815585\pi$
$282$	−21.7183	+	37.6173i	−1.29331	+	2.24008i
$283$	−3.08348	−	5.34075i	−0.183294	−	0.317475i	0.759706	−	0.650266i	$-0.225343\pi$
$283$	−3.08348	−	5.34075i	−0.183294	−	0.317475i	−0.943000	+	0.332792i	$0.892009\pi$
$284$	4.28868	+	7.42822i	0.254486	+	0.440784i
$285$	0.956399	−	1.65653i	0.0566522	−	0.0981245i
$286$	0.989156			0.0584900
$287$	7.99675	+	13.1277i	0.472033	+	0.774901i
$288$	−17.2318			−1.01540
$289$	7.40335	−	12.8230i	0.435491	−	0.754293i
$290$	−1.52370	−	2.63913i	−0.0894748	−	0.154975i
$291$	14.4473	+	25.0235i	0.846916	+	1.46690i
$292$	−8.88023	+	15.3810i	−0.519676	+	0.900105i
$293$	−11.9097			−0.695772			−0.347886	−	0.937537i	$-0.613100\pi$
$293$	−11.9097			−0.695772			−0.347886	+	0.937537i	$0.613100\pi$
$294$	−14.2290	+	27.5630i	−0.829852	+	1.60751i
$295$	11.2549			0.655286
$296$	0.907420	−	1.57170i	0.0527427	−	0.0913530i
$297$	−0.0770364	−	0.133431i	−0.00447011	−	0.00774245i
$298$	−12.9870	−	22.4941i	−0.752317	−	1.30305i
$299$	−14.8189	+	25.6672i	−0.857002	+	1.48437i
$300$	−15.0508			−0.868956
$301$	−14.7804	−	24.2639i	−0.851928	−	1.39855i
$302$	3.33843			0.192105
$303$	−14.9090	+	25.8232i	−0.856501	+	1.48350i
$304$	1.70844	+	2.95910i	0.0979857	+	0.169716i
$305$	−4.78497	−	8.28781i	−0.273987	−	0.474559i
$306$	−3.25355	+	5.63531i	−0.185993	+	0.322149i
$307$	21.9454			1.25249			0.626246	−	0.779626i	$-0.284591\pi$
$307$	21.9454			1.25249			0.626246	+	0.779626i	$0.284591\pi$
$308$	−0.422658	+	0.00994436i	−0.0240832	+	0.000566633i
$309$	−4.88359			−0.277818
$310$	−7.57570	+	13.1215i	−0.430271	+	0.745251i
$311$	8.84745	+	15.3242i	0.501693	+	0.868957i	0.999998	+	0.00195581i	$0.000622555\pi$
$311$	8.84745	+	15.3242i	0.501693	+	0.868957i	−0.498305	+	0.867002i	$0.666044\pi$
$312$	−3.41944	−	5.92265i	−0.193588	−	0.335304i
$313$	−11.1551	+	19.3213i	−0.630526	+	1.09210i	0.356918	+	0.934136i	$0.383827\pi$
$313$	−11.1551	+	19.3213i	−0.630526	+	1.09210i	−0.987444	+	0.157967i	$0.949506\pi$
$314$	−5.56470			−0.314034
$315$	3.15530	−	5.77471i	0.177781	−	0.325368i
$316$	16.6251			0.935235
$317$	6.88187	−	11.9197i	0.386524	−	0.669480i	−0.605455	−	0.795880i	$-0.707009\pi$
$317$	6.88187	−	11.9197i	0.386524	−	0.669480i	0.991979	+	0.126400i	$0.0403422\pi$
$318$	0.899312	+	1.55765i	0.0504309	+	0.0873489i
$319$	−0.0671945	−	0.116384i	−0.00376217	−	0.00651627i
$320$	−3.07336	+	5.32322i	−0.171806	+	0.297577i
$321$	5.21931			0.291314
$322$	13.1347	−	24.0386i	0.731968	−	1.33962i
$323$	1.12931			0.0628366
$324$	9.15718	−	15.8607i	0.508732	−	0.881150i
$325$	−10.5124	−	18.2080i	−0.583123	−	1.01000i
$326$	−14.1880	−	24.5743i	−0.785798	−	1.36104i
$327$	14.5759	−	25.2463i	0.806051	−	1.39612i
$328$	3.13231			0.172953
$329$	25.9271	−	0.610017i	1.42941	−	0.0336313i
$330$	0.449379			0.0247375
$331$	2.22610	−	3.85572i	0.122357	−	0.211929i	−0.798339	−	0.602208i	$-0.794288\pi$
$331$	2.22610	−	3.85572i	0.122357	−	0.211929i	0.920697	+	0.390278i	$0.127621\pi$
$332$	10.0686	+	17.4392i	0.552584	+	0.957103i
$333$	−3.83397	−	6.64064i	−0.210100	−	0.363905i
$334$	−0.982084	+	1.70102i	−0.0537372	+	0.0930756i
$335$	−1.66712			−0.0910845
$336$	14.1691	+	23.2603i	0.772987	+	1.26895i
$337$	9.43535			0.513976			0.256988	−	0.966415i	$-0.417270\pi$
$337$	9.43535			0.513976			0.256988	+	0.966415i	$0.417270\pi$
$338$	−16.8649	+	29.2108i	−0.917329	+	1.58886i
$339$	7.76185	+	13.4439i	0.421566	+	0.730173i
$340$	1.39106	+	2.40938i	0.0754406	+	0.130667i
$341$	−0.334085	+	0.578653i	−0.0180917	+	0.0313358i
$342$	3.35045			0.181171
$343$	18.4742	−	1.30592i	0.997511	−	0.0705129i
$344$	−5.78945			−0.312146
$345$	−6.73233	+	11.6607i	−0.362456	+	0.627793i
$346$	8.18963	+	14.1849i	0.440277	+	0.762583i
$347$	−14.5994	−	25.2870i	−0.783739	−	1.35748i	−0.929750	−	0.368193i	$-0.879977\pi$
$347$	−14.5994	−	25.2870i	−0.783739	−	1.35748i	0.146011	−	0.989283i	$-0.453357\pi$
$348$	2.85963	−	4.95302i	0.153292	−	0.265510i
$349$	−1.51188			−0.0809293			−0.0404647	−	0.999181i	$-0.512884\pi$
$349$	−1.51188			−0.0809293			−0.0404647	+	0.999181i	$0.512884\pi$
$350$	10.1093	+	16.5957i	0.540365	+	0.887075i
$351$	9.15957			0.488902
$352$	−0.351295	+	0.608460i	−0.0187241	+	0.0324310i
$353$	−6.70883	−	11.6200i	−0.357075	−	0.618472i	0.630396	−	0.776274i	$-0.282893\pi$
$353$	−6.70883	−	11.6200i	−0.357075	−	0.618472i	−0.987471	+	0.157802i	$0.949559\pi$
$354$	22.8386	+	39.5576i	1.21386	+	2.10246i
$355$	−2.72173	+	4.71417i	−0.144454	+	0.250202i
$356$	18.1728			0.963154
$357$	8.99931	−	0.211737i	0.476294	−	0.0112063i
$358$	42.0775			2.22386
$359$	6.30951	−	10.9284i	0.333003	−	0.576778i	−0.650096	−	0.759852i	$-0.725271\pi$
$359$	6.30951	−	10.9284i	0.333003	−	0.576778i	0.983099	+	0.183074i	$0.0586047\pi$
$360$	−0.670468	−	1.16129i	−0.0353368	−	0.0612051i
$361$	9.20926	+	15.9509i	0.484698	+	0.839522i
$362$	5.36710	−	9.29610i	0.282089	−	0.488592i
$363$	−25.2513			−1.32535
$364$	12.0514	−	22.0561i	0.631667	−	1.15605i
$365$	−11.2713			−0.589968
$366$	19.4195	−	33.6355i	1.01507	−	1.75816i
$367$	−12.1713	−	21.0812i	−0.635334	−	1.10043i	−0.986444	−	0.164097i	$-0.947529\pi$
$367$	−12.1713	−	21.0812i	−0.635334	−	1.10043i	0.351110	−	0.936334i	$-0.385804\pi$
$368$	−12.0261	−	20.8298i	−0.626904	−	1.08583i
$369$	6.61722	−	11.4614i	0.344479	−	0.596654i
$370$	−7.08948			−0.368565
$371$	0.514919	−	0.942385i	0.0267332	−	0.0489262i
$372$	−28.4356			−1.47432
$373$	−2.58136	+	4.47105i	−0.133658	+	0.231502i	−0.925084	−	0.379763i	$-0.876006\pi$
$373$	−2.58136	+	4.47105i	−0.133658	+	0.231502i	0.791426	+	0.611265i	$0.209339\pi$
$374$	0.132656	+	0.229767i	0.00685948	+	0.0118810i
$375$	−11.0470	−	19.1339i	−0.570462	−	0.988069i
$376$	2.64236	−	4.57670i	0.136269	−	0.236026i
$377$	7.98938			0.411474
$378$	−8.46345	+	0.199129i	−0.435313	+	0.0102421i
$379$	−17.4509			−0.896391			−0.448195	−	0.893936i	$-0.647933\pi$
$379$	−17.4509			−0.896391			−0.448195	+	0.893936i	$0.647933\pi$
$380$	0.716243	−	1.24057i	0.0367425	−	0.0636398i
$381$	−19.5238	−	33.8162i	−1.00023	−	1.73245i
$382$	−4.88447	−	8.46015i	−0.249911	−	0.432859i
$383$	1.43719	−	2.48929i	0.0734370	−	0.127197i	−0.826968	−	0.562248i	$-0.809937\pi$
$383$	1.43719	−	2.48929i	0.0734370	−	0.127197i	0.900406	+	0.435052i	$0.143270\pi$
$384$	9.81197			0.500715
$385$	−0.139581	−	0.229140i	−0.00711372	−	0.0116781i
$386$	36.8812			1.87720
$387$	−12.2306	+	21.1840i	−0.621717	+	1.07685i
$388$	10.8195	+	18.7400i	0.549278	+	0.951377i
$389$	−14.1611	−	24.5278i	−0.717998	−	1.24361i	−0.961792	−	0.273781i	$-0.911725\pi$
$389$	−14.1611	−	24.5278i	−0.717998	−	1.24361i	0.243794	−	0.969827i	$-0.421608\pi$
$390$	−13.3577	+	23.1362i	−0.676393	+	1.17155i
$391$	−7.94950			−0.402023
$392$	1.73117	−	3.35346i	0.0874374	−	0.169375i
$393$	−3.91807			−0.197640
$394$	−1.10222	+	1.90910i	−0.0555291	+	0.0961793i
$395$	5.27540	+	9.13726i	0.265434	+	0.459745i
$396$	0.181999	+	0.315231i	0.00914577	+	0.0158409i
$397$	9.03367	−	15.6468i	0.453387	−	0.785289i	−0.545207	−	0.838301i	$-0.683549\pi$
$397$	9.03367	−	15.6468i	0.453387	−	0.785289i	0.998594	+	0.0530124i	$0.0168823\pi$
$398$	−50.3476			−2.52370
$399$	−2.41125	−	3.95836i	−0.120713	−	0.198166i
$400$	17.0624			0.853119
$401$	0.122703	−	0.212528i	0.00612751	−	0.0106132i	−0.862945	−	0.505297i	$-0.831383\pi$
$401$	0.122703	−	0.212528i	0.00612751	−	0.0106132i	0.869073	+	0.494684i	$0.164716\pi$
$402$	−3.38295	−	5.85943i	−0.168726	−	0.292242i
$403$	−19.8612	−	34.4007i	−0.989358	−	1.71362i
$404$	−11.1653	+	19.3389i	−0.555494	+	0.962144i
$405$	11.6229			0.577544
$406$	−7.38219	+	0.173689i	−0.366372	+	0.00862006i
$407$	−0.312643			−0.0154971
$408$	0.917165	−	1.58858i	0.0454064	−	0.0786463i
$409$	−14.5398	−	25.1837i	−0.718948	−	1.24525i	−0.961417	−	0.275095i	$-0.911291\pi$
$409$	−14.5398	−	25.1837i	−0.718948	−	1.24525i	0.242469	−	0.970159i	$-0.422043\pi$
$410$	−6.11802	−	10.5967i	−0.302147	−	0.523335i
$411$	1.14869	−	1.98958i	0.0566605	−	0.0981389i
$412$	−3.65730			−0.180182
$413$	13.0767	−	23.9325i	0.643462	−	1.17764i
$414$	−23.5846			−1.15912
$415$	−6.38981	+	11.0675i	−0.313664	+	0.543281i
$416$	−20.8843	−	36.1727i	−1.02394	−	1.77351i
$417$	14.1688	+	24.5411i	0.693849	+	1.20178i
$418$	0.0683034	−	0.118305i	0.00334083	−	0.00578649i
$419$	14.6653			0.716448			0.358224	−	0.933636i	$-0.383382\pi$
$419$	14.6653			0.716448			0.358224	+	0.933636i	$0.383382\pi$
$420$	5.47503	−	10.0202i	0.267154	−	0.488935i
$421$	−9.45353			−0.460737			−0.230368	−	0.973103i	$-0.573993\pi$
$421$	−9.45353			−0.460737			−0.230368	+	0.973103i	$0.573993\pi$
$422$	−13.1665	+	22.8050i	−0.640935	+	1.11013i
$423$	−11.1643	−	19.3372i	−0.542829	−	0.940207i
$424$	−0.109415	−	0.189512i	−0.00531365	−	0.00920352i
$425$	2.81964	−	4.88376i	0.136773	−	0.236897i
$426$	−22.0919			−1.07036
$427$	−23.1827	+	0.545447i	−1.12189	+	0.0263960i
$428$	3.90872			0.188935
$429$	−0.589069	+	1.02030i	−0.0284405	+	0.0492604i
$430$	11.3079	+	19.5859i	0.545317	+	0.944518i
$431$	12.0101	+	20.8022i	0.578508	+	1.00201i	0.995651	+	0.0931647i	$0.0296983\pi$
$431$	12.0101	+	20.8022i	0.578508	+	1.00201i	−0.417142	+	0.908841i	$0.636968\pi$
$432$	−3.71666	+	6.43745i	−0.178818	+	0.309722i
$433$	−30.3434			−1.45821			−0.729104	−	0.684402i	$-0.760063\pi$
$433$	−30.3434			−1.45821			−0.729104	+	0.684402i	$0.760063\pi$
$434$	19.0997	+	31.3544i	0.916813	+	1.50506i
$435$	3.62962			0.174027
$436$	10.9158	−	18.9068i	0.522774	−	0.905472i
$437$	2.04656	+	3.54475i	0.0979004	+	0.169568i
$438$	−22.8719	−	39.6154i	−1.09286	−	1.89290i
$439$	−11.4747	+	19.8748i	−0.547658	+	0.948571i	0.450777	+	0.892637i	$0.351147\pi$
$439$	−11.4747	+	19.8748i	−0.547658	+	0.948571i	−0.998434	+	0.0559343i	$0.982186\pi$
$440$	−0.0546737			−0.00260647
$441$	−8.61334	−	13.4189i	−0.410159	−	0.638995i
$442$	−15.7727			−0.750231
$443$	7.03718	−	12.1888i	0.334347	−	0.579105i	−0.649013	−	0.760778i	$-0.724818\pi$
$443$	7.03718	−	12.1888i	0.334347	−	0.579105i	0.983359	+	0.181673i	$0.0581511\pi$
$444$	−6.65265	−	11.5227i	−0.315721	−	0.546844i
$445$	5.76649	+	9.98786i	0.273358	+	0.473470i
$446$	11.2411	−	19.4701i	0.532279	−	0.921935i
$447$	30.9364			1.46324
$448$	7.74848	+	12.7201i	0.366081	+	0.600967i
$449$	−30.2652			−1.42830			−0.714151	−	0.699992i	$-0.753187\pi$
$449$	−30.2652			−1.42830			−0.714151	+	0.699992i	$0.753187\pi$
$450$	8.36533	−	14.4892i	0.394345	−	0.683026i
$451$	−0.269802	−	0.467311i	−0.0127045	−	0.0220048i
$452$	5.81281	+	10.0681i	0.273411	+	0.473563i
$453$	−1.98813	+	3.44354i	−0.0934103	+	0.161791i
$454$	−48.9465			−2.29717
$455$	15.9463	−	0.375186i	0.747572	−	0.0175890i
$456$	−0.944481			−0.0442294
$457$	−12.8021	+	22.1739i	−0.598857	+	1.03725i	0.394133	+	0.919053i	$0.371045\pi$
$457$	−12.8021	+	22.1739i	−0.598857	+	1.03725i	−0.992990	+	0.118197i	$0.962289\pi$
$458$	27.0375	+	46.8304i	1.26338	+	2.18824i
$459$	1.22839	+	2.12764i	0.0573365	+	0.0993097i
$460$	−5.04180	+	8.73266i	−0.235075	+	0.407162i
$461$	−37.3845			−1.74117			−0.870586	−	0.492016i	$-0.836260\pi$
$461$	−37.3845			−1.74117			−0.870586	+	0.492016i	$0.836260\pi$
$462$	0.522118	−	0.955561i	0.0242911	−	0.0444567i
$463$	−14.4887			−0.673346			−0.336673	−	0.941622i	$-0.609302\pi$
$463$	−14.4887			−0.673346			−0.336673	+	0.941622i	$0.609302\pi$
$464$	−3.24183	+	5.61502i	−0.150498	+	0.260671i
$465$	−9.02306	−	15.6284i	−0.418435	−	0.724750i
$466$	−10.8336	−	18.7644i	−0.501859	−	0.869245i
$467$	−7.60509	+	13.1724i	−0.351922	+	0.609546i	−0.986586	−	0.163242i	$-0.947805\pi$
$467$	−7.60509	+	13.1724i	−0.351922	+	0.609546i	0.634665	+	0.772788i	$0.281138\pi$
$468$	−21.6395			−1.00029
$469$	−1.93697	+	3.54497i	−0.0894411	+	0.163692i
$470$	−20.6442			−0.952247
$471$	3.31393	−	5.73989i	0.152698	−	0.264480i
$472$	−2.77866	−	4.81278i	−0.127898	−	0.221526i
$473$	0.498676	+	0.863731i	0.0229291	+	0.0397144i
$474$	−21.4098	+	37.0829i	−0.983386	+	1.70327i
$475$	−2.90362			−0.133227
$476$	6.73954	−	0.158569i	0.308906	−	0.00726800i
$477$	−0.924585			−0.0423338
$478$	10.7677	−	18.6503i	0.492505	−	0.853044i
$479$	−12.0791	−	20.9216i	−0.551908	−	0.955933i	−0.998137	−	0.0610143i	$-0.980566\pi$
$479$	−12.0791	−	20.9216i	−0.551908	−	0.955933i	0.446228	−	0.894919i	$-0.352767\pi$
$480$	−9.48786	−	16.4335i	−0.433060	−	0.750081i
$481$	9.29325	−	16.0964i	0.423736	−	0.733932i
$482$	−23.3204			−1.06221
$483$	16.9734	+	27.8639i	0.772315	+	1.26785i
$484$	−18.9106			−0.859571
$485$	−6.86640	+	11.8930i	−0.311787	+	0.540031i
$486$	18.7856	+	32.5376i	0.852133	+	1.47594i
$487$	10.6047	+	18.3679i	0.480545	+	0.832328i	0.999751	−	0.0223212i	$-0.00710566\pi$
$487$	10.6047	+	18.3679i	0.480545	+	0.832328i	−0.519206	+	0.854649i	$0.673772\pi$
$488$	−2.36267	+	4.09226i	−0.106953	+	0.185248i
$489$	33.7972			1.52836
$490$	−14.7262	+	0.693345i	−0.665262	+	0.0313221i
$491$	−15.0104			−0.677410			−0.338705	−	0.940893i	$-0.609989\pi$
$491$	−15.0104			−0.677410			−0.338705	+	0.940893i	$0.609989\pi$
$492$	11.4821	−	19.8876i	0.517653	−	0.896601i
$493$	1.07146	+	1.85582i	0.0482560	+	0.0835819i
$494$	4.06061	+	7.03319i	0.182696	+	0.316438i
$495$	−0.115502	+	0.200055i	−0.00519142	+	0.00899181i
$496$	32.2362			1.44745
$497$	6.86195	+	11.2647i	0.307801	+	0.505293i
$498$	−51.8652			−2.32414
$499$	−8.26999	+	14.3240i	−0.370216	+	0.641232i	−0.989599	−	0.143857i	$-0.954050\pi$
$499$	−8.26999	+	14.3240i	−0.370216	+	0.641232i	0.619383	+	0.785089i	$0.287383\pi$
$500$	−8.27301	−	14.3293i	−0.369980	−	0.640824i
$501$	−1.16971	−	2.02600i	−0.0522590	−	0.0905152i
$502$	8.84599	−	15.3217i	0.394816	−	0.683841i
$503$	−11.0462			−0.492527			−0.246264	−	0.969203i	$-0.579203\pi$
$503$	−11.0462			−0.492527			−0.246264	+	0.969203i	$0.579203\pi$
$504$	−3.24836	+	0.0764279i	−0.144693	+	0.00340437i
$505$	−14.1717			−0.630631
$506$	−0.480804	+	0.832778i	−0.0213744	+	0.0370215i
$507$	−20.0870	−	34.7917i	−0.892094	−	1.54515i
$508$	−14.6213	−	25.3248i	−0.648713	−	1.12360i
$509$	20.7403	−	35.9232i	0.919297	−	1.59227i	0.118811	−	0.992917i	$-0.462092\pi$
$509$	20.7403	−	35.9232i	0.919297	−	1.59227i	0.800486	−	0.599352i	$-0.204575\pi$
$510$	−7.16562			−0.317299
$511$	−13.0958	+	23.9674i	−0.579323	+	1.06026i
$512$	29.0652			1.28451
$513$	0.632489	−	1.09550i	0.0279251	−	0.0483676i
$514$	−16.9810	−	29.4119i	−0.748998	−	1.29730i
$515$	−1.16052	−	2.01007i	−0.0511385	−	0.0885744i
$516$	−21.2224	+	36.7582i	−0.934262	+	1.61819i
$517$	−0.910402			−0.0400394
$518$	−8.23704	+	15.0751i	−0.361915	+	0.662362i
$519$	−19.5086			−0.856332
$520$	1.62516	−	2.81487i	0.0712682	−	0.123440i
$521$	6.19632	+	10.7323i	0.271466	+	0.470192i	0.969237	−	0.246128i	$-0.0791584\pi$
$521$	6.19632	+	10.7323i	0.271466	+	0.470192i	−0.697772	+	0.716320i	$0.745825\pi$
$522$	3.17881	+	5.50585i	0.139133	+	0.240985i
$523$	12.4867	−	21.6275i	0.546004	−	0.945706i	−0.452539	−	0.891745i	$-0.649482\pi$
$523$	12.4867	−	21.6275i	0.546004	−	0.945706i	0.998543	−	0.0539619i	$-0.0171849\pi$
$524$	−2.93422			−0.128182
$525$	−23.1385	+	0.544406i	−1.00985	+	0.0237598i
$526$	−9.24577			−0.403135
$527$	5.32719	−	9.22697i	0.232056	−	0.401933i
$528$	−0.478051	−	0.828008i	−0.0208045	−	0.0360344i
$529$	−2.90625	−	5.03377i	−0.126359	−	0.218860i
$530$	−0.427418	+	0.740309i	−0.0185658	+	0.0321570i
$531$	−23.4804			−1.01896
$532$	−1.80577	−	2.96440i	−0.0782902	−	0.128523i
$533$	32.0793			1.38951
$534$	−23.4029	+	40.5350i	−1.01274	+	1.75412i
$535$	1.24030	+	2.14826i	0.0536227	+	0.0928772i
$536$	0.411586	+	0.712888i	0.0177778	+	0.0307921i
$537$	−25.0582	+	43.4022i	−1.08134	+	1.87294i
$538$	20.7433			0.894309
$539$	−0.649419	+	0.0305762i	−0.0279725	+	0.00131701i
$540$	3.11633			0.134106
$541$	−1.23866	+	2.14543i	−0.0532542	+	0.0922390i	−0.891424	−	0.453171i	$-0.850293\pi$
$541$	−1.23866	+	2.14543i	−0.0532542	+	0.0922390i	0.838169	+	0.545410i	$0.183626\pi$
$542$	15.4436	+	26.7491i	0.663360	+	1.14897i
$543$	6.39251	+	11.0721i	0.274329	+	0.475151i
$544$	5.60161	−	9.70227i	0.240167	−	0.415982i
$545$	13.8551			0.593486
$546$	33.6771	+	55.2851i	1.44125	+	2.36598i
$547$	−1.67277			−0.0715225			−0.0357612	−	0.999360i	$-0.511386\pi$
$547$	−1.67277			−0.0715225			−0.0357612	+	0.999360i	$0.511386\pi$
$548$	0.860245	−	1.48999i	0.0367478	−	0.0636491i
$549$	9.98260	+	17.2904i	0.426047	+	0.737935i
$550$	−0.341077	−	0.590763i	−0.0145436	−	0.0251902i
$551$	0.551684	−	0.955546i	0.0235025	−	0.0407076i
$552$	6.64843			0.282976
$553$	25.5588	−	0.601352i	1.08687	−	0.0255721i
$554$	21.8530			0.928443
$555$	4.22198	−	7.31268i	0.179213	−	0.310406i
$556$	10.6109	+	18.3787i	0.450004	+	0.779430i
$557$	−0.458049	−	0.793364i	−0.0194082	−	0.0336159i	0.856158	−	0.516714i	$-0.172845\pi$
$557$	−0.458049	−	0.793364i	−0.0194082	−	0.0336159i	−0.875566	+	0.483098i	$0.839512\pi$
$558$	15.8047	−	27.3746i	0.669068	−	1.15886i
$559$	−59.2921			−2.50779
$560$	−6.20680	+	11.3594i	−0.262285	+	0.480024i
$561$	−0.316001			−0.0133416
$562$	27.0572	−	46.8644i	1.14134	−	1.97686i
$563$	−0.944827	−	1.63649i	−0.0398197	−	0.0689698i	0.845429	−	0.534088i	$-0.179345\pi$
$563$	−0.944827	−	1.63649i	−0.0398197	−	0.0689698i	−0.885248	+	0.465119i	$0.846012\pi$
$564$	−19.3722	−	33.5536i	−0.815716	−	1.41286i
$565$	−3.68899	+	6.38951i	−0.155197	+	0.268809i
$566$	11.8952			0.499992
$567$	13.5042	−	24.7149i	0.567123	−	1.03793i
$568$	2.68781			0.112778
$569$	2.14596	−	3.71691i	0.0899633	−	0.155821i	−0.817532	−	0.575883i	$-0.804658\pi$
$569$	2.14596	−	3.71691i	0.0899633	−	0.155821i	0.907495	+	0.420062i	$0.137992\pi$
$570$	1.84476	+	3.19521i	0.0772684	+	0.133833i
$571$	−7.91469	−	13.7086i	−0.331219	−	0.573689i	0.651532	−	0.758621i	$-0.274127\pi$
$571$	−7.91469	−	13.7086i	−0.331219	−	0.573689i	−0.982751	+	0.184932i	$0.940793\pi$
$572$	−0.441151	+	0.764095i	−0.0184454	+	0.0319484i
$573$	11.6353			0.486073
$574$	−29.6412	+	0.697404i	−1.23720	+	0.0291091i
$575$	20.4393			0.852376
$576$	6.41178	−	11.1055i	0.267157	−	0.462730i
$577$	13.3142	+	23.0609i	0.554279	+	0.960039i	0.997959	+	0.0638542i	$0.0203393\pi$
$577$	13.3142	+	23.0609i	0.554279	+	0.960039i	−0.443680	+	0.896185i	$0.646327\pi$
$578$	14.2800	+	24.7337i	0.593970	+	1.02879i
$579$	−21.9638	+	38.0423i	−0.912782	+	1.58099i
$580$	2.71820			0.112867
$581$	16.1098	+	26.4463i	0.668348	+	1.09718i
$582$	−55.7336			−2.31023
$583$	−0.0188489	+	0.0326473i	−0.000780643	+	0.00135211i
$584$	2.78272	+	4.81981i	0.115150	+	0.199445i
$585$	−6.86654	−	11.8932i	−0.283897	−	0.491723i
$586$	11.4861	−	19.8944i	0.474485	−	0.821832i
$587$	−18.1406			−0.748742			−0.374371	−	0.927279i	$-0.622141\pi$
$587$	−18.1406			−0.748742			−0.374371	+	0.927279i	$0.622141\pi$
$588$	−14.9457	−	23.2843i	−0.616351	−	0.960227i
$589$	−5.48585			−0.226041
$590$	−10.8545	+	18.8006i	−0.446875	+	0.774010i
$591$	−1.31280	−	2.27384i	−0.0540016	−	0.0935335i
$592$	7.54181	+	13.0628i	0.309967	+	0.536878i
$593$	−13.2576	+	22.9629i	−0.544426	+	0.942973i	0.454217	+	0.890891i	$0.349919\pi$
$593$	−13.2576	+	22.9629i	−0.544426	+	0.942973i	−0.998643	+	0.0520823i	$0.983414\pi$
$594$	0.297185			0.0121936
$595$	2.22571	+	3.65378i	0.0912452	+	0.149790i
$596$	23.1681			0.949004
$597$	29.9833	−	51.9326i	1.22714	−	2.12546i
$598$	−28.5836	−	49.5083i	−1.16887	−	2.02454i
$599$	11.3923	+	19.7321i	0.465478	+	0.806232i	0.999223	−	0.0394140i	$-0.0125491\pi$
$599$	11.3923	+	19.7321i	0.465478	+	0.806232i	−0.533745	+	0.845645i	$0.679216\pi$
$600$	−2.35816	+	4.08445i	−0.0962715	+	0.166747i
$601$	1.27019			0.0518123			0.0259061	−	0.999664i	$-0.491753\pi$
$601$	1.27019			0.0518123			0.0259061	+	0.999664i	$0.491753\pi$
$602$	54.7859	−	1.28901i	2.23291	−	0.0525362i
$603$	3.47802			0.141636
$604$	−1.48890	+	2.57885i	−0.0605824	+	0.104932i
$605$	−6.00061	−	10.3934i	−0.243959	−	0.422550i
$606$	−28.7574	−	49.8092i	−1.16819	−	2.02336i
$607$	−18.9398	+	32.8047i	−0.768743	+	1.33150i	0.169501	+	0.985530i	$0.445784\pi$
$607$	−18.9398	+	32.8047i	−0.768743	+	1.33150i	−0.938245	+	0.345972i	$0.887549\pi$
$608$	−5.76844			−0.233941
$609$	4.21713	−	7.71803i	0.170887	−	0.312750i
$610$	18.4590			0.747385
$611$	27.0615	−	46.8719i	1.09479	−	1.89623i
$612$	−2.90208	−	5.02655i	−0.117310	−	0.203186i
$613$	14.1805	+	24.5614i	0.572746	+	0.992024i	0.996283	+	0.0861456i	$0.0274550\pi$
$613$	14.1805	+	24.5614i	0.572746	+	0.992024i	−0.423537	+	0.905879i	$0.639212\pi$
$614$	−21.1648	+	36.6585i	−0.854142	+	1.47942i
$615$	14.5738			0.587671
$616$	−0.0635235	+	0.116258i	−0.00255944	+	0.00468418i
$617$	−6.44088			−0.259300			−0.129650	−	0.991560i	$-0.541385\pi$
$617$	−6.44088			−0.259300			−0.129650	+	0.991560i	$0.541385\pi$
$618$	4.70987	−	8.15774i	0.189459	−	0.328152i
$619$	−2.29252	−	3.97076i	−0.0921441	−	0.159598i	0.816269	−	0.577672i	$-0.196039\pi$
$619$	−2.29252	−	3.97076i	−0.0921441	−	0.159598i	−0.908413	+	0.418074i	$0.862705\pi$
$620$	−6.75733	−	11.7040i	−0.271381	−	0.470045i
$621$	−4.45224	+	7.71151i	−0.178662	+	0.309452i
$622$	−34.1309			−1.36853
$623$	27.9381	−	0.657333i	1.11932	−	0.0263355i
$624$	56.8398			2.27541
$625$	−4.26921	+	7.39449i	−0.170768	+	0.295780i
$626$	−21.5167	−	37.2680i	−0.859979	−	1.48953i
$627$	0.0813530	+	0.140908i	0.00324893	+	0.00562731i
$628$	2.48178	−	4.29857i	0.0990339	−	0.171532i
$629$	4.98529			0.198776
$630$	6.60325	+	10.8400i	0.263080	+	0.431878i
$631$	47.0342			1.87240			0.936201	−	0.351464i	$-0.114316\pi$
$631$	47.0342			1.87240			0.936201	+	0.351464i	$0.114316\pi$
$632$	2.60483	−	4.51169i	0.103614	−	0.179466i
$633$	−15.6820	−	27.1620i	−0.623304	−	1.07959i
$634$	13.2741	+	22.9915i	0.527184	+	0.913109i
$635$	9.27910	−	16.0719i	0.368230	−	0.637793i
$636$	−1.60433			−0.0636156
$637$	17.7296	−	34.3441i	0.702474	−	1.36076i
$638$	0.259217			0.0102625
$639$	5.67819	−	9.83491i	0.224626	−	0.389063i
$640$	2.33168	+	4.03858i	0.0921676	+	0.159639i
$641$	−1.12803	−	1.95381i	−0.0445546	−	0.0771708i	0.842888	−	0.538089i	$-0.180854\pi$
$641$	−1.12803	−	1.95381i	−0.0445546	−	0.0771708i	−0.887443	+	0.460918i	$0.847520\pi$
$642$	−5.03365	+	8.71854i	−0.198662	+	0.344093i
$643$	34.8323			1.37365			0.686826	−	0.726822i	$-0.259003\pi$
$643$	34.8323			1.37365			0.686826	+	0.726822i	$0.259003\pi$
$644$	12.7113	+	20.8671i	0.500894	+	0.822279i
$645$	−26.9367			−1.06063
$646$	−1.08914	+	1.88645i	−0.0428517	+	0.0742212i
$647$	7.42993	+	12.8690i	0.292101	+	0.505933i	0.974306	−	0.225227i	$-0.0723125\pi$
$647$	7.42993	+	12.8690i	0.292101	+	0.505933i	−0.682206	+	0.731160i	$0.738979\pi$
$648$	−2.86950	−	4.97012i	−0.112725	−	0.195245i
$649$	−0.478681	+	0.829100i	−0.0187899	+	0.0325450i
$650$	40.5538			1.59065
$651$	−43.7159	+	1.02856i	−1.71336	+	0.0403123i
$652$	25.3106			0.991238
$653$	−14.6887	+	25.4415i	−0.574812	+	0.995604i	0.421250	+	0.906945i	$0.361592\pi$
$653$	−14.6887	+	25.4415i	−0.574812	+	0.995604i	−0.996062	+	0.0886593i	$0.971742\pi$
$654$	28.1149	+	48.6964i	1.09938	+	1.90418i
$655$	−0.931074	−	1.61267i	−0.0363801	−	0.0630121i
$656$	−13.0167	+	22.5457i	−0.508218	+	0.880260i
$657$	23.5147			0.917396
$658$	−23.9858	+	43.8980i	−0.935066	+	1.71132i
$659$	−17.1556			−0.668288			−0.334144	−	0.942522i	$-0.608447\pi$
$659$	−17.1556			−0.668288			−0.334144	+	0.942522i	$0.608447\pi$
$660$	−0.200417	+	0.347133i	−0.00780122	+	0.0135121i
$661$	13.3365	+	23.0995i	0.518729	+	0.898465i	0.999763	+	0.0217631i	$0.00692797\pi$
$661$	13.3365	+	23.0995i	0.518729	+	0.898465i	−0.481034	+	0.876702i	$0.659739\pi$
$662$	4.29383	+	7.43713i	0.166884	+	0.289052i
$663$	9.39306	−	16.2693i	0.364796	−	0.631846i
$664$	6.31018			0.244883
$665$	1.05625	−	1.93311i	0.0409597	−	0.0749629i
$666$	14.7904			0.573115
$667$	−3.88344	+	6.72631i	−0.150367	+	0.260444i
$668$	−0.875993	−	1.51726i	−0.0338932	−	0.0587047i
$669$	13.3887	+	23.1899i	0.517637	+	0.896573i
$670$	1.60782	−	2.78482i	0.0621155	−	0.107587i
$671$	0.814036			0.0314255
$672$	−45.9678	+	1.08154i	−1.77325	+	0.0417213i
$673$	32.0325			1.23476			0.617382	−	0.786664i	$-0.288193\pi$
$673$	32.0325			1.23476			0.617382	+	0.786664i	$0.288193\pi$
$674$	−9.09972	+	15.7612i	−0.350508	+	0.607098i
$675$	−3.15837	−	5.47046i	−0.121566	−	0.210558i
$676$	−15.0430	−	26.0553i	−0.578578	−	1.00213i
$677$	−11.8687	+	20.5572i	−0.456151	+	0.790077i	−0.998754	−	0.0499124i	$-0.984106\pi$
$677$	−11.8687	+	20.5572i	−0.456151	+	0.790077i	0.542602	+	0.839990i	$0.317439\pi$
$678$	−29.9430			−1.14995
$679$	17.3114	+	28.4188i	0.664350	+	1.09061i
$680$	0.871805			0.0334322
$681$	29.1489	−	50.4875i	1.11699	−	1.93468i
$682$	−0.644403	−	1.11614i	−0.0246755	−	0.0427391i
$683$	−1.38220	−	2.39405i	−0.0528886	−	0.0916057i	0.838369	−	0.545103i	$-0.183509\pi$
$683$	−1.38220	−	2.39405i	−0.0528886	−	0.0916057i	−0.891258	+	0.453497i	$0.850176\pi$
$684$	−1.49426	+	2.58813i	−0.0571343	+	0.0989595i
$685$	1.09188			0.0417184
$686$	−15.6356	+	32.1194i	−0.596968	+	1.22633i
$687$	−64.4063			−2.45725
$688$	24.0589	−	41.6712i	0.917235	−	1.58870i
$689$	−1.12056	−	1.94087i	−0.0426900	−	0.0739412i
$690$	−12.9857	−	22.4919i	−0.494357	−	0.856251i
$691$	−23.6254	+	40.9203i	−0.898752	+	1.55668i	−0.0696598	+	0.997571i	$0.522191\pi$
$691$	−23.6254	+	40.9203i	−0.898752	+	1.55668i	−0.829092	+	0.559113i	$0.811142\pi$
$692$	−14.6099			−0.555384
$693$	0.291200	+	0.478041i	0.0110618	+	0.0181593i
$694$	56.3205			2.13790
$695$	−6.73403	+	11.6637i	−0.255436	+	0.442429i
$696$	−0.896096	−	1.55208i	−0.0339664	−	0.0588316i
$697$	4.30216	+	7.45156i	0.162956	+	0.282248i
$698$	1.45810	−	2.52551i	0.0551901	−	0.0955920i
$699$	25.8069			0.976106
$700$	−17.3283	+	0.407703i	−0.654948	+	0.0154097i
$701$	−40.7327			−1.53845			−0.769227	−	0.638976i	$-0.779358\pi$
$701$	−40.7327			−1.53845			−0.769227	+	0.638976i	$0.779358\pi$
$702$	−8.83375	+	15.3005i	−0.333408	+	0.577480i
$703$	−1.28344	−	2.22298i	−0.0484059	−	0.0838414i
$704$	−0.261426	−	0.452803i	−0.00985285	−	0.0170656i
$705$	12.2942	−	21.2942i	0.463026	−	0.801984i
$706$	25.8807			0.974034
$707$	−16.4656	+	30.1347i	−0.619253	+	1.13333i
$708$	−40.7429			−1.53121
$709$	−2.31486	+	4.00945i	−0.0869362	+	0.150578i	−0.906215	−	0.422818i	$-0.861041\pi$
$709$	−2.31486	+	4.00945i	−0.0869362	+	0.150578i	0.819278	+	0.573396i	$0.194374\pi$
$710$	−5.24983	−	9.09297i	−0.197023	−	0.341253i
$711$	−11.0058	−	19.0625i	−0.412748	−	0.714901i
$712$	2.84732	−	4.93170i	0.106708	−	0.184823i
$713$	38.6162			1.44619
$714$	−8.32550	+	15.2370i	−0.311574	+	0.570231i
$715$	−0.559935			−0.0209404
$716$	−18.7660	+	32.5037i	−0.701318	+	1.21472i
$717$	12.8250	+	22.2135i	0.478957	+	0.829578i
$718$	12.1701	+	21.0793i	0.454185	+	0.786672i
$719$	−10.2251	+	17.7103i	−0.381331	+	0.660484i	−0.991253	−	0.131977i	$-0.957867\pi$
$719$	−10.2251	+	17.7103i	−0.381331	+	0.660484i	0.609922	+	0.792461i	$0.291201\pi$
$720$	11.1449			0.415346
$721$	−5.62259	+	0.132289i	−0.209396	+	0.00492671i
$722$	−35.5267			−1.32217
$723$	13.8879	−	24.0546i	0.516497	−	0.894598i
$724$	4.78732	+	8.29187i	0.177919	+	0.308165i
$725$	−2.75487	−	4.77157i	−0.102313	−	0.177212i
$726$	24.3530	−	42.1807i	0.903826	−	1.56547i
$727$	5.98752			0.222065			0.111032	−	0.993817i	$-0.464584\pi$
$727$	5.98752			0.222065			0.111032	+	0.993817i	$0.464584\pi$
$728$	−4.09732	−	6.72626i	−0.151857	−	0.249292i
$729$	−12.8148			−0.474622
$730$	10.8704	−	18.8281i	0.402331	−	0.696858i
$731$	−7.95169	−	13.7727i	−0.294104	−	0.509403i
$732$	17.3217	+	30.0020i	0.640227	+	1.10891i
$733$	0.361178	−	0.625578i	0.0133404	−	0.0231063i	−0.859278	−	0.511509i	$-0.829087\pi$
$733$	0.361178	−	0.625578i	0.0133404	−	0.0231063i	0.872619	+	0.488402i	$0.162420\pi$
$734$	46.9532			1.73307
$735$	8.05467	−	15.6027i	0.297101	−	0.575515i
$736$	40.6054			1.49674
$737$	0.0709041	−	0.122810i	0.00261179	−	0.00452375i
$738$	12.7637	+	22.1073i	0.469837	+	0.813782i
$739$	−19.6175	−	33.9785i	−0.721640	−	1.24992i	−0.960342	−	0.278825i	$-0.910055\pi$
$739$	−19.6175	−	33.9785i	−0.721640	−	1.24992i	0.238701	−	0.971093i	$-0.423278\pi$
$740$	3.16182	−	5.47643i	0.116231	−	0.201317i
$741$	−9.67281			−0.355340
$742$	1.07759	+	1.76900i	0.0395597	+	0.0649422i
$743$	−15.7573			−0.578081			−0.289041	−	0.957317i	$-0.593336\pi$
$743$	−15.7573			−0.578081			−0.289041	+	0.957317i	$0.593336\pi$
$744$	−4.45531	+	7.71682i	−0.163340	+	0.282912i
$745$	7.35160	+	12.7334i	0.269342	+	0.466514i
$746$	−4.97908	−	8.62402i	−0.182297	−	0.315748i
$747$	13.3307	−	23.0894i	0.487745	−	0.844799i
$748$	−0.236651			−0.00865283
$749$	6.00912	−	0.141384i	0.219568	−	0.00516604i
$750$	42.6160			1.55612
$751$	−15.7730	+	27.3196i	−0.575565	+	0.996907i	0.420415	+	0.907332i	$0.361884\pi$
$751$	−15.7730	+	27.3196i	−0.575565	+	0.996907i	−0.995980	+	0.0895754i	$0.971449\pi$
$752$	21.9614	+	38.0382i	0.800850	+	1.38711i
$753$	10.5360	+	18.2490i	0.383955	+	0.665029i
$754$	−7.70518	+	13.3458i	−0.280606	+	0.486024i
$755$	−1.88980			−0.0687769
$756$	3.62076	−	6.62658i	0.131686	−	0.241007i
$757$	−49.4085			−1.79578			−0.897891	−	0.440218i	$-0.854901\pi$
$757$	−49.4085			−1.79578			−0.897891	+	0.440218i	$0.854901\pi$
$758$	16.8301	−	29.1506i	0.611297	−	1.05880i
$759$	−0.572664	−	0.991882i	−0.0207864	−	0.0360031i
$760$	−0.224443	−	0.388746i	−0.00814139	−	0.0141013i
$761$	0.698323	−	1.20953i	0.0253142	−	0.0438455i	−0.853091	−	0.521763i	$-0.825275\pi$
$761$	0.698323	−	1.20953i	0.0253142	−	0.0438455i	0.878405	+	0.477917i	$0.158608\pi$
$762$	75.3171			2.72845
$763$	16.0977	−	29.4615i	0.582777	−	1.06658i
$764$	8.71364			0.315248
$765$	1.84175	−	3.19000i	0.0665886	−	0.115335i
$766$	2.77214	+	4.80148i	0.100161	+	0.173485i
$767$	−28.4574	−	49.2897i	−1.02754	−	1.77975i
$768$	−22.3960	+	38.7910i	−0.808147	+	1.39975i
$769$	4.95291			0.178607			0.0893033	−	0.996004i	$-0.471536\pi$
$769$	4.95291			0.178607			0.0893033	+	0.996004i	$0.471536\pi$
$770$	0.517381	−	0.0121730i	0.0186451	−	0.000438685i
$771$	40.4504			1.45679
$772$	−16.4485	+	28.4897i	−0.591996	+	1.02537i
$773$	−24.4324	−	42.3181i	−0.878772	−	1.52208i	−0.852690	−	0.522417i	$-0.825030\pi$
$773$	−24.4324	−	42.3181i	−0.878772	−	1.52208i	−0.0260815	−	0.999660i	$-0.508303\pi$
$774$	−23.5911	−	40.8610i	−0.847965	−	1.46872i
$775$	−13.6970	+	23.7238i	−0.492009	+	0.852185i
$776$	6.78083			0.243418
$777$	−10.6443	−	17.4740i	−0.381863	−	0.626876i
$778$	54.6296			1.95857
$779$	2.21515	−	3.83674i	0.0793658	−	0.137466i
$780$	−11.9147	−	20.6369i	−0.426615	−	0.738919i
$781$	−0.231515	−	0.400996i	−0.00828427	−	0.0143488i
$782$	7.66672	−	13.2792i	0.274161	−	0.474861i
$783$	2.40035			0.0857815
$784$	16.9433	+	26.3963i	0.605118	+	0.942726i
$785$	3.15003			0.112429
$786$	3.77870	−	6.54490i	0.134782	−	0.233449i
$787$	−8.73665	−	15.1323i	−0.311428	−	0.539409i	0.667244	−	0.744839i	$-0.267474\pi$
$787$	−8.73665	−	15.1323i	−0.311428	−	0.539409i	−0.978672	+	0.205431i	$0.934141\pi$
$788$	−0.983153	−	1.70287i	−0.0350234	−	0.0606623i
$789$	5.50610	−	9.53685i	0.196022	−	0.339521i
$790$	−20.3510			−0.724055
$791$	9.30058	+	15.2680i	0.330690	+	0.542869i
$792$	0.114062			0.00405303
$793$	−24.1971	+	41.9105i	−0.859263	+	1.48829i
$794$	17.4247	+	30.1804i	0.618378	+	1.07106i
$795$	−0.509077	−	0.881747i	−0.0180551	−	0.0312724i
$796$	22.4544	−	38.8921i	0.795874	−	1.37849i
$797$	−6.38717			−0.226245			−0.113123	−	0.993581i	$-0.536085\pi$
$797$	−6.38717			−0.226245			−0.113123	+	0.993581i	$0.536085\pi$
$798$	8.93768	−	0.210287i	0.316391	−	0.00744409i
$799$	14.5169			0.513571
$800$	−14.4025	+	24.9459i	−0.509206	+	0.881971i
$801$	−12.0303	−	20.8371i	−0.425070	−	0.736242i
$802$	0.236677	+	0.409937i	0.00835736	+	0.0144754i
$803$	0.479380	−	0.830310i	0.0169169	−	0.0293010i
$804$	6.03500			0.212838
$805$	−7.43522	+	13.6076i	−0.262057	+	0.479607i
$806$	76.6190			2.69879
$807$	−12.3532	+	21.3964i	−0.434854	+	0.753189i
$808$	3.49877	+	6.06004i	0.123086	+	0.213192i
$809$	27.0480	+	46.8484i	0.950956	+	1.64710i	0.743363	+	0.668888i	$0.233229\pi$
$809$	27.0480	+	46.8484i	0.950956	+	1.64710i	0.207592	+	0.978215i	$0.433437\pi$
$810$	−11.2094	+	19.4153i	−0.393859	+	0.682183i
$811$	−3.57360			−0.125486			−0.0627430	−	0.998030i	$-0.519985\pi$
$811$	−3.57360			−0.125486			−0.0627430	+	0.998030i	$0.519985\pi$
$812$	3.15819	−	5.78000i	0.110831	−	0.202838i
$813$	−36.7883			−1.29022
$814$	0.301522	−	0.522251i	0.0105683	−	0.0183049i
$815$	8.03143	+	13.9108i	0.281329	+	0.487276i
$816$	7.62281	+	13.2031i	0.266852	+	0.462201i
$817$	−4.09426	+	7.09146i	−0.143240	+	0.248099i
$818$	56.0905			1.96116
$819$	−33.2678	+	0.782729i	−1.16247	+	0.0273508i
$820$	10.9142			0.381141
$821$	−10.6905	+	18.5164i	−0.373100	+	0.646228i	−0.990041	−	0.140782i	$-0.955038\pi$
$821$	−10.6905	+	18.5164i	−0.373100	+	0.646228i	0.616941	+	0.787010i	$0.288372\pi$
$822$	2.21565	+	3.83762i	0.0772797	+	0.133852i
$823$	21.3271	+	36.9396i	0.743416	+	1.28763i	0.950931	+	0.309403i	$0.100129\pi$
$823$	21.3271	+	36.9396i	0.743416	+	1.28763i	−0.207515	+	0.978232i	$0.566538\pi$
$824$	−0.573027	+	0.992512i	−0.0199623	+	0.0345758i
$825$	0.812483			0.0282870
$826$	27.3662	+	44.9250i	0.952192	+	1.56314i
$827$	−24.2213			−0.842257			−0.421129	−	0.907001i	$-0.638366\pi$
$827$	−24.2213			−0.842257			−0.421129	+	0.907001i	$0.638366\pi$
$828$	10.5184	−	18.2184i	0.365540	−	0.633135i
$829$	7.34790	+	12.7269i	0.255203	+	0.442025i	0.964951	−	0.262431i	$-0.0845244\pi$
$829$	7.34790	+	12.7269i	0.255203	+	0.442025i	−0.709748	+	0.704456i	$0.751191\pi$
$830$	−12.3250	−	21.3476i	−0.427808	−	0.740986i
$831$	−13.0140	+	22.5409i	−0.451451	+	0.781937i
$832$	31.0833			1.07762
$833$	10.3554	−	0.487556i	0.358793	−	0.0168928i
$834$	−54.6592			−1.89269
$835$	0.555932	−	0.962903i	0.0192388	−	0.0333226i
$836$	0.0609249	+	0.105525i	0.00210713	+	0.00364966i
$837$	−5.96716	−	10.3354i	−0.206255	−	0.357245i
$838$	−14.1437	+	24.4975i	−0.488585	+	0.846254i
$839$	−0.165133			−0.00570103			−0.00285052	−	0.999996i	$-0.500907\pi$
$839$	−0.165133			−0.00570103			−0.00285052	+	0.999996i	$0.500907\pi$
$840$	−1.86143	−	3.05577i	−0.0642256	−	0.105434i
$841$	−26.9063			−0.927804
$842$	9.11725	−	15.7915i	0.314201	−	0.544213i
$843$	32.2266	+	55.8180i	1.10994	+	1.92248i
$844$	−11.7442	−	20.3415i	−0.404251	−	0.700184i
$845$	9.54677	−	16.5355i	0.328419	−	0.568838i
$846$	43.0688			1.48074
$847$	−29.0724	+	0.684020i	−0.998939	+	0.0235032i
$848$	1.81875			0.0624562
$849$	−7.08391	+	12.2697i	−0.243119	+	0.421094i
$850$	5.43869	+	9.42008i	0.186545	+	0.323106i
$851$	9.03445	+	15.6481i	0.309697	+	0.536411i
$852$	9.85270	−	17.0654i	0.337548	−	0.584650i
$853$	−20.7532			−0.710575			−0.355288	−	0.934757i	$-0.615617\pi$
$853$	−20.7532			−0.710575			−0.355288	+	0.934757i	$0.615617\pi$
$854$	21.4470	−	39.2514i	0.733900	−	1.34316i
$855$	−1.89660			−0.0648624
$856$	0.612419	−	1.06074i	0.0209321	−	0.0362554i
$857$	−16.9626	−	29.3800i	−0.579431	−	1.00360i	−0.995545	−	0.0942908i	$-0.969942\pi$
$857$	−16.9626	−	29.3800i	−0.579431	−	1.00360i	0.416114	−	0.909312i	$-0.363392\pi$
$858$	−1.13623	−	1.96801i	−0.0387902	−	0.0671866i
$859$	1.87777	−	3.25239i	0.0640687	−	0.110970i	−0.832212	−	0.554458i	$-0.812926\pi$
$859$	1.87777	−	3.25239i	0.0640687	−	0.110970i	0.896280	+	0.443488i	$0.146259\pi$
$860$	−20.1728			−0.687886
$861$	16.9328	−	30.9897i	0.577068	−	1.05613i
$862$	−46.3317			−1.57806
$863$	−16.8492	+	29.1837i	−0.573554	+	0.993425i	0.422643	+	0.906296i	$0.361102\pi$
$863$	−16.8492	+	29.1837i	−0.573554	+	0.993425i	−0.996197	+	0.0871285i	$0.972231\pi$
$864$	−6.27454	−	10.8678i	−0.213464	−	0.369731i
$865$	−4.63594	−	8.02968i	−0.157627	−	0.273017i
$866$	29.2640	−	50.6867i	0.994431	−	1.72241i
$867$	−34.0165			−1.15526
$868$	−32.7386	+	0.770280i	−1.11122	+	0.0261450i
$869$	−0.897470			−0.0304446
$870$	−3.50051	+	6.06305i	−0.118678	+	0.205557i
$871$	4.21522	+	7.30098i	0.142827	+	0.247384i
$872$	−3.42060	−	5.92465i	−0.115836	−	0.200634i
$873$	14.3250	−	24.8116i	0.484827	−	0.839744i
$874$	−7.89506			−0.267054
$875$	−13.2369	−	21.7300i	−0.447490	−	0.734610i
$876$	40.8024			1.37858
$877$	4.09326	−	7.08973i	0.138220	−	0.239403i	−0.788603	−	0.614902i	$-0.789195\pi$
$877$	4.09326	−	7.08973i	0.138220	−	0.239403i	0.926823	+	0.375499i	$0.122529\pi$
$878$	−22.1331	−	38.3356i	−0.746955	−	1.29376i
$879$	13.6805	+	23.6953i	0.461432	+	0.799224i
$880$	0.227204	−	0.393529i	0.00765904	−	0.0132659i
$881$	10.9583			0.369195			0.184597	−	0.982814i	$-0.440902\pi$
$881$	10.9583			0.369195			0.184597	+	0.982814i	$0.440902\pi$
$882$	30.7224	−	1.44648i	1.03448	−	0.0487057i
$883$	−5.13051			−0.172655			−0.0863276	−	0.996267i	$-0.527513\pi$
$883$	−5.13051			−0.172655			−0.0863276	+	0.996267i	$0.527513\pi$
$884$	7.03442	−	12.1840i	0.236593	−	0.409791i
$885$	−12.9283	−	22.3926i	−0.434582	−	0.752717i
$886$	13.5737	+	23.5104i	0.456018	+	0.789846i
$887$	25.8768	−	44.8199i	0.868857	−	1.50490i	0.00569094	−	0.999984i	$-0.498189\pi$
$887$	25.8768	−	44.8199i	0.868857	−	1.50490i	0.863166	−	0.504920i	$-0.168478\pi$
$888$	−4.16936			−0.139915
$889$	−23.3942	−	38.4045i	−0.784617	−	1.28805i
$890$	−22.2455			−0.745670
$891$	−0.494330	+	0.856205i	−0.0165607	+	0.0286840i
$892$	10.0267	+	17.3668i	0.335720	+	0.581484i
$893$	−3.73732	−	6.47322i	−0.125065	−	0.216618i
$894$	−29.8360	+	51.6774i	−0.997864	+	1.72835i
$895$	−23.8190			−0.796180
$896$	11.2968	−	0.265792i	0.377398	−	0.00887949i
$897$	68.0892			2.27343
$898$	29.1886	−	50.5561i	0.974036	−	1.68708i
$899$	−5.20482	−	9.01501i	−0.173590	−	0.300667i
$900$	7.46165	+	12.9240i	0.248722	+	0.430799i
$901$	0.300558	−	0.520581i	0.0100130	−	0.0173431i
$902$	1.04082			0.0346555
$903$	−31.2969	+	57.2784i	−1.04150	+	1.90611i
$904$	3.64301			0.121165
$905$	−3.03818	+	5.26228i	−0.100992	+	0.174924i
$906$	−3.83481	−	6.64209i	−0.127403	−	0.220669i
$907$	−2.62442	−	4.54562i	−0.0871423	−	0.150935i	0.819160	−	0.573565i	$-0.194440\pi$
$907$	−2.62442	−	4.54562i	−0.0871423	−	0.150935i	−0.906302	+	0.422630i	$0.861107\pi$
$908$	21.8295	−	37.8098i	0.724437	−	1.25476i
$909$	29.5655			0.980627
$910$	−14.7523	+	26.9991i	−0.489034	+	0.895012i
$911$	34.8795			1.15561			0.577805	−	0.816175i	$-0.303910\pi$
$911$	34.8795			1.15561			0.577805	+	0.816175i	$0.303910\pi$
$912$	3.92492	−	6.79816i	0.129967	−	0.225110i
$913$	−0.543529	−	0.941420i	−0.0179882	−	0.0311565i
$914$	−24.6934	−	42.7702i	−0.816785	−	1.41471i
$915$	−10.9929	+	19.0402i	−0.363413	+	0.629449i
$916$	−48.2335			−1.59368
$917$	−4.51097	+	0.106135i	−0.148965	+	0.00350488i
$918$	−4.73879			−0.156403
$919$	21.5989	−	37.4105i	0.712484	−	1.23406i	−0.251438	−	0.967873i	$-0.580904\pi$
$919$	21.5989	−	37.4105i	0.712484	−	1.23406i	0.963922	−	0.266185i	$-0.0857631\pi$
$920$	1.57990	+	2.73648i	0.0520879	+	0.0902189i
$921$	−25.2084	−	43.6622i	−0.830645	−	1.43872i
$922$	36.0547	−	62.4486i	1.18740	−	2.05664i
$923$	27.5270			0.906061
$924$	0.505286	+	0.829490i	0.0166227	+	0.0272882i
$925$	−12.8179			−0.421449
$926$	13.9733	−	24.2025i	0.459191	−	0.795342i
$927$	2.42112	+	4.19350i	0.0795199	+	0.137733i
$928$	−5.47293	−	9.47939i	−0.179658	−	0.311176i
$929$	−28.7255	+	49.7541i	−0.942454	+	1.63238i	−0.181685	+	0.983357i	$0.558155\pi$
$929$	−28.7255	+	49.7541i	−0.942454	+	1.63238i	−0.760770	+	0.649022i	$0.775178\pi$
$930$	34.8084			1.14141
$931$	−2.88336	−	4.49204i	−0.0944981	−	0.147221i
$932$	19.3266			0.633065
$933$	20.3259	−	35.2055i	0.665439	−	1.15257i
$934$	−14.6691	−	25.4077i	−0.479989	−	0.831365i
$935$	−0.0750932	−	0.130065i	−0.00245581	−	0.00425359i
$936$	−3.39048	+	5.87249i	−0.110821	+	0.191948i
$937$	−45.4822			−1.48584			−0.742920	−	0.669380i	$-0.766560\pi$
$937$	−45.4822			−1.48584			−0.742920	+	0.669380i	$0.766560\pi$
$938$	−4.05359	−	6.65447i	−0.132354	−	0.217276i
$939$	51.2550			1.67264
$940$	9.20706	−	15.9471i	0.300301	−	0.520137i
$941$	−0.444276	−	0.769508i	−0.0144830	−	0.0250853i	0.858693	−	0.512490i	$-0.171277\pi$
$941$	−0.444276	−	0.769508i	−0.0144830	−	0.0250853i	−0.873176	+	0.487405i	$0.837944\pi$
$942$	6.39209	+	11.0714i	0.208266	+	0.360727i
$943$	−15.5929	+	27.0078i	−0.507776	+	0.879494i
$944$	46.1884			1.50330
$945$	4.79094	−	0.112722i	0.155849	−	0.00366685i
$946$	−1.92375			−0.0625464
$947$	−1.15200	+	1.99532i	−0.0374349	+	0.0648391i	−0.884136	−	0.467230i	$-0.845252\pi$
$947$	−1.15200	+	1.99532i	−0.0374349	+	0.0648391i	0.846701	+	0.532069i	$0.178585\pi$
$948$	−19.0970	−	33.0770i	−0.620242	−	1.07429i
$949$	28.4989	+	49.3616i	0.925114	+	1.60235i
$950$	2.80033	−	4.85032i	0.0908548	−	0.157365i
$951$	−31.6204			−1.02536
$952$	1.01292	−	1.85381i	0.0328290	−	0.0600824i
$953$	−18.3900			−0.595712			−0.297856	−	0.954611i	$-0.596271\pi$
$953$	−18.3900			−0.595712			−0.297856	+	0.954611i	$0.596271\pi$
$954$	0.891696	−	1.54446i	0.0288697	−	0.0500038i
$955$	2.76497	+	4.78907i	0.0894724	+	0.154971i
$956$	9.60455	+	16.6356i	0.310633	+	0.538033i
$957$	−0.154371	+	0.267378i	−0.00499010	+	0.00864311i
$958$	46.5977			1.50550
$959$	1.26861	−	2.32177i	0.0409657	−	0.0749739i
$960$	14.1213			0.455763
$961$	−10.3779	+	17.9750i	−0.334770	+	0.579839i
$962$	17.9254	+	31.0476i	0.577937	+	1.00102i
$963$	−2.58756	−	4.48178i	−0.0833828	−	0.144423i
$964$	10.4006	−	18.0143i	0.334980	−	0.580203i
$965$	−20.8775			−0.672071
$966$	−62.9145	+	1.48026i	−2.02424	+	0.0476267i
$967$	−42.2737			−1.35943			−0.679716	−	0.733476i	$-0.737897\pi$
$967$	−42.2737			−1.35943			−0.679716	+	0.733476i	$0.737897\pi$
$968$	−2.96291	+	5.13192i	−0.0952317	+	0.164946i
$969$	−1.29722	−	2.24686i	−0.0416728	−	0.0721795i
$970$	−13.2443	−	22.9398i	−0.425249	−	0.736553i
$971$	25.0348	−	43.3616i	0.803406	−	1.39154i	−0.113956	−	0.993486i	$-0.536352\pi$
$971$	25.0348	−	43.3616i	0.803406	−	1.39154i	0.917362	−	0.398054i	$-0.130314\pi$
$972$	−33.5125			−1.07492
$973$	16.9777	+	27.8709i	0.544279	+	0.893501i
$974$	−40.9099			−1.31084
$975$	−24.1509	+	41.8305i	−0.773447	+	1.33965i
$976$	−19.6368	−	34.0119i	−0.628558	−	1.08870i
$977$	−27.0659	−	46.8796i	−0.865916	−	1.49981i	−0.866135	−	0.499810i	$-0.833403\pi$
$977$	−27.0659	−	46.8796i	−0.865916	−	1.49981i	0.000218970	−	1.00000i	$-0.499930\pi$
$978$	−32.5950	+	56.4562i	−1.04227	+	1.80527i
$979$	−0.981017			−0.0313534
$980$	6.03210	−	11.6848i	0.192688	−	0.373257i
$981$	−28.9050			−0.922866
$982$	14.4765	−	25.0740i	0.461963	−	0.800143i
$983$	4.22023	+	7.30966i	0.134605	+	0.233142i	0.925446	−	0.378879i	$-0.123690\pi$
$983$	4.22023	+	7.30966i	0.134605	+	0.233142i	−0.790842	+	0.612021i	$0.790357\pi$
$984$	−3.59804	−	6.23199i	−0.114701	−	0.198668i
$985$	0.623939	−	1.08069i	0.0198804	−	0.0344338i
$986$	−4.13338			−0.131634
$987$	−30.9958	−	50.8834i	−0.986607	−	1.61964i
$988$	−7.24392			−0.230460
$989$	28.8204	−	49.9185i	0.916437	−	1.58732i
$990$	−0.222787	−	0.385878i	−0.00708063	−	0.0122640i
$991$	25.1414	+	43.5462i	0.798643	+	1.38329i	0.920500	+	0.390742i	$0.127782\pi$
$991$	25.1414	+	43.5462i	0.798643	+	1.38329i	−0.121857	+	0.992548i	$0.538885\pi$
$992$	−27.2109	+	47.1307i	−0.863947	+	1.49640i
$993$	−10.2284			−0.324587
$994$	−25.4349	+	0.598437i	−0.806747	+	0.0189813i
$995$	28.5005			0.903525
$996$	23.1312	−	40.0644i	0.732940	−	1.26949i
$997$	19.4404	+	33.6717i	0.615682	+	1.06639i	0.990264	+	0.139199i	$0.0444528\pi$
$997$	19.4404	+	33.6717i	0.615682	+	1.06639i	−0.374582	+	0.927194i	$0.622214\pi$
$998$	−15.9516	−	27.6290i	−0.504940	−	0.874582i
$999$	2.79209	−	4.83604i	0.0883378	−	0.153006i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	959.2.e.b.275.8	✓	90
7.2	even	3		6713.2.a.k.1.38		45
7.4	even	3	inner	959.2.e.b.823.8	yes	90
7.5	odd	6		6713.2.a.l.1.38		45

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
959.2.e.b.275.8	✓	90	1.1	even	1	trivial
959.2.e.b.823.8	yes	90	7.4	even	3	inner
6713.2.a.k.1.38		45	7.2	even	3
6713.2.a.l.1.38		45	7.5	odd	6

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:	\( N \)	\(=\)	\( 959 = 7 \cdot 137 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	959.e (of order \(3\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.964429 + 1.67044i) q^{2} +(-1.14869 - 1.98958i) q^{3} +(-0.860245 - 1.48999i) q^{4} +(0.545938 - 0.945592i) q^{5} +4.43130 q^{6} +(-1.37640 - 2.25954i) q^{7} -0.539134 q^{8} +(-1.13896 + 1.97273i) q^{9} +O(q^{10})\)	\(q+(-0.964429 + 1.67044i) q^{2} +(-1.14869 - 1.98958i) q^{3} +(-0.860245 - 1.48999i) q^{4} +(0.545938 - 0.945592i) q^{5} +4.43130 q^{6} +(-1.37640 - 2.25954i) q^{7} -0.539134 q^{8} +(-1.13896 + 1.97273i) q^{9} +(1.05304 + 1.82391i) q^{10} +(0.0464385 + 0.0804338i) q^{11} +(-1.97630 + 3.42306i) q^{12} -5.52150 q^{13} +(5.10186 - 0.120038i) q^{14} -2.50845 q^{15} +(2.24045 - 3.88057i) q^{16} +(-0.740490 - 1.28257i) q^{17} +(-2.19689 - 3.80512i) q^{18} +(-0.381272 + 0.660382i) q^{19} -1.87856 q^{20} +(-2.91448 + 5.33397i) q^{21} -0.179146 q^{22} +(2.68386 - 4.64859i) q^{23} +(0.619296 + 1.07265i) q^{24} +(1.90390 + 3.29766i) q^{25} +(5.32509 - 9.22332i) q^{26} -1.65889 q^{27} +(-2.18264 + 3.99458i) q^{28} -1.44696 q^{29} +(2.41922 - 4.19021i) q^{30} +(3.59707 + 6.23031i) q^{31} +(3.78237 + 6.55125i) q^{32} +(0.106686 - 0.184786i) q^{33} +2.85660 q^{34} +(-2.88803 + 0.0679501i) q^{35} +3.91913 q^{36} +(-1.68310 + 2.91522i) q^{37} +(-0.735419 - 1.27378i) q^{38} +(6.34246 + 10.9855i) q^{39} +(-0.294334 + 0.509801i) q^{40} -5.80988 q^{41} +(-6.09926 - 10.0127i) q^{42} +10.7384 q^{43} +(0.0798969 - 0.138386i) q^{44} +(1.24360 + 2.15398i) q^{45} +(5.17679 + 8.96646i) q^{46} +(-4.90112 + 8.48899i) q^{47} -10.2943 q^{48} +(-3.21102 + 6.22008i) q^{49} -7.34472 q^{50} +(-1.70118 + 2.94653i) q^{51} +(4.74984 + 8.22696i) q^{52} +(0.202945 + 0.351512i) q^{53} +(1.59988 - 2.77108i) q^{54} +0.101410 q^{55} +(0.742067 + 1.21819i) q^{56} +1.75185 q^{57} +(1.39549 - 2.41706i) q^{58} +(5.15393 + 8.92687i) q^{59} +(2.15788 + 3.73755i) q^{60} +(4.38234 - 7.59043i) q^{61} -13.8765 q^{62} +(6.02513 - 0.141760i) q^{63} -5.62951 q^{64} +(-3.01439 + 5.22108i) q^{65} +(0.205783 + 0.356426i) q^{66} +(-0.763420 - 1.32228i) q^{67} +(-1.27401 + 2.20664i) q^{68} -12.3317 q^{69} +(2.67180 - 4.88982i) q^{70} -4.98542 q^{71} +(0.614052 - 1.06357i) q^{72} +(-5.16145 - 8.93989i) q^{73} +(-3.24647 - 5.62305i) q^{74} +(4.37397 - 7.57594i) q^{75} +1.31195 q^{76} +(0.117825 - 0.215639i) q^{77} -24.4674 q^{78} +(-4.83150 + 8.36840i) q^{79} +(-2.44629 - 4.23710i) q^{80} +(5.32242 + 9.21871i) q^{81} +(5.60322 - 9.70506i) q^{82} -11.7043 q^{83} +(10.4547 - 0.245980i) q^{84} -1.61705 q^{85} +(-10.3564 + 17.9379i) q^{86} +(1.66210 + 2.87884i) q^{87} +(-0.0250366 - 0.0433646i) q^{88} +(-5.28127 + 9.14743i) q^{89} -4.79746 q^{90} +(7.59981 + 12.4760i) q^{91} -9.23512 q^{92} +(8.26382 - 14.3133i) q^{93} +(-9.45356 - 16.3740i) q^{94} +(0.416302 + 0.721055i) q^{95} +(8.68951 - 15.0507i) q^{96} -12.5772 q^{97} +(-7.29346 - 11.3626i) q^{98} -0.211566 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 90 q + 11 q^{3} - 44 q^{4} + 4 q^{5} - 20 q^{6} - q^{7} - 6 q^{8} - 44 q^{9}+O(q^{10}) \) 90 * q + 11 * q^3 - 44 * q^4 + 4 * q^5 - 20 * q^6 - q^7 - 6 * q^8 - 44 * q^9	\( 90 q + 11 q^{3} - 44 q^{4} + 4 q^{5} - 20 q^{6} - q^{7} - 6 q^{8} - 44 q^{9} + 25 q^{10} + 33 q^{12} - 72 q^{13} - 38 q^{16} + 18 q^{17} + 5 q^{18} + 43 q^{19} - 20 q^{20} + 8 q^{21} + q^{23} + 20 q^{24} - 43 q^{25} + 2 q^{26} - 106 q^{27} + 7 q^{28} - 8 q^{29} + 12 q^{30} + 59 q^{31} + 11 q^{32} + 37 q^{33} - 96 q^{34} + 2 q^{35} + 28 q^{36} + 39 q^{38} - 16 q^{39} + 56 q^{40} - 30 q^{41} + 26 q^{42} - 2 q^{43} + 2 q^{44} + 28 q^{45} - 31 q^{46} + 58 q^{47} - 24 q^{48} + 15 q^{49} - 148 q^{50} + 5 q^{51} + 115 q^{52} - 10 q^{53} + 39 q^{54} - 162 q^{55} + 63 q^{56} - 36 q^{57} + 11 q^{58} + 41 q^{59} - 90 q^{60} + 40 q^{61} + 58 q^{62} + 53 q^{63} + 30 q^{64} + 9 q^{65} + 42 q^{66} + 56 q^{68} - 10 q^{69} + 84 q^{70} - 84 q^{71} + 11 q^{72} + 67 q^{73} - 39 q^{74} + 40 q^{75} - 136 q^{76} + 21 q^{77} - 156 q^{78} + 9 q^{79} + 14 q^{80} - 73 q^{81} + 34 q^{82} - 96 q^{83} + 28 q^{84} + 12 q^{85} + 13 q^{86} + 135 q^{87} - 47 q^{88} + 17 q^{89} + 88 q^{90} + 26 q^{91} - 122 q^{92} + q^{93} + 28 q^{94} - 47 q^{95} + 50 q^{96} - 162 q^{97} + 128 q^{98} - 70 q^{99}+O(q^{100}) \) 90 * q + 11 * q^3 - 44 * q^4 + 4 * q^5 - 20 * q^6 - q^7 - 6 * q^8 - 44 * q^9 + 25 * q^10 + 33 * q^12 - 72 * q^13 - 38 * q^16 + 18 * q^17 + 5 * q^18 + 43 * q^19 - 20 * q^20 + 8 * q^21 + q^23 + 20 * q^24 - 43 * q^25 + 2 * q^26 - 106 * q^27 + 7 * q^28 - 8 * q^29 + 12 * q^30 + 59 * q^31 + 11 * q^32 + 37 * q^33 - 96 * q^34 + 2 * q^35 + 28 * q^36 + 39 * q^38 - 16 * q^39 + 56 * q^40 - 30 * q^41 + 26 * q^42 - 2 * q^43 + 2 * q^44 + 28 * q^45 - 31 * q^46 + 58 * q^47 - 24 * q^48 + 15 * q^49 - 148 * q^50 + 5 * q^51 + 115 * q^52 - 10 * q^53 + 39 * q^54 - 162 * q^55 + 63 * q^56 - 36 * q^57 + 11 * q^58 + 41 * q^59 - 90 * q^60 + 40 * q^61 + 58 * q^62 + 53 * q^63 + 30 * q^64 + 9 * q^65 + 42 * q^66 + 56 * q^68 - 10 * q^69 + 84 * q^70 - 84 * q^71 + 11 * q^72 + 67 * q^73 - 39 * q^74 + 40 * q^75 - 136 * q^76 + 21 * q^77 - 156 * q^78 + 9 * q^79 + 14 * q^80 - 73 * q^81 + 34 * q^82 - 96 * q^83 + 28 * q^84 + 12 * q^85 + 13 * q^86 + 135 * q^87 - 47 * q^88 + 17 * q^89 + 88 * q^90 + 26 * q^91 - 122 * q^92 + q^93 + 28 * q^94 - 47 * q^95 + 50 * q^96 - 162 * q^97 + 128 * q^98 - 70 * q^99

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