LMFDB - Embedded newform 116.2.l.b.11.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [116,2,Mod(3,116)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(116, base_ring=CyclotomicField(28))

chi = DirichletCharacter(H, H._module([14, 5]))

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

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

chi := DirichletCharacter("116.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$N$	$=$	$116 = 2^{2} \cdot 29$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	116.l (of order $28$ , degree $12$ , minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.926264663447$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$12$ over $\Q(\zeta_{28})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label			11.4
Character	$\chi$	$=$	116.11
Dual form			116.2.l.b.95.4

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.24228 - 0.675831i) q^{2} +(-1.48114 + 0.166885i) q^{3} +(1.08651 + 1.67914i) q^{4} +(0.727418 - 1.51050i) q^{5} +(1.95278 + 0.793685i) q^{6} +(-3.42876 - 2.73435i) q^{7} +(-0.214928 - 2.82025i) q^{8} +(-0.758851 + 0.173203i) q^{9} +(-1.92450 + 1.38485i) q^{10} +(1.20249 - 0.755577i) q^{11} +(-1.88949 - 2.30572i) q^{12} +(-5.83372 - 1.33151i) q^{13} +(2.41152 + 5.71408i) q^{14} +(-0.825331 + 2.35866i) q^{15} +(-1.63901 + 3.64879i) q^{16} +(3.39448 - 3.39448i) q^{17} +(1.05976 + 0.297689i) q^{18} +(0.339529 - 3.01340i) q^{19} +(3.32668 - 0.419730i) q^{20} +(5.53481 + 3.47775i) q^{21} +(-2.00447 + 0.125954i) q^{22} +(2.08623 + 4.33210i) q^{23} +(0.788996 + 4.14132i) q^{24} +(1.36498 + 1.71163i) q^{25} +(6.34722 + 5.59671i) q^{26} +(5.31568 - 1.86004i) q^{27} +(0.865976 - 8.72825i) q^{28} +(-2.66387 - 4.68015i) q^{29} +(2.61934 - 2.37232i) q^{30} +(0.727961 + 2.08039i) q^{31} +(4.50207 - 3.42511i) q^{32} +(-1.65497 + 1.31980i) q^{33} +(-6.51099 + 1.92279i) q^{34} +(-6.62437 + 3.19013i) q^{35} +(-1.11533 - 1.08603i) q^{36} +(-1.98657 + 3.16161i) q^{37} +(-2.45834 + 3.51402i) q^{38} +(8.86278 + 0.998595i) q^{39} +(-4.41633 - 1.72685i) q^{40} +(-0.423896 - 0.423896i) q^{41} +(-4.52539 - 8.06092i) q^{42} +(0.259529 + 0.0908133i) q^{43} +(2.57524 + 1.19822i) q^{44} +(-0.290379 + 1.27223i) q^{45} +(0.336091 - 6.79160i) q^{46} +(0.934739 + 1.48763i) q^{47} +(1.81868 - 5.67790i) q^{48} +(2.72211 + 11.9263i) q^{49} +(-0.538911 - 3.04881i) q^{50} +(-4.46123 + 5.59420i) q^{51} +(-4.10258 - 11.2423i) q^{52} +(-0.888932 - 0.428087i) q^{53} +(-7.86061 - 1.28182i) q^{54} +(-0.266583 - 2.36599i) q^{55} +(-6.97460 + 10.2577i) q^{56} +4.51994i q^{57} +(0.146278 + 7.61437i) q^{58} -6.65855i q^{59} +(-4.85724 + 1.17685i) q^{60} +(-1.19213 - 10.5805i) q^{61} +(0.501664 - 3.07640i) q^{62} +(3.07551 + 1.48109i) q^{63} +(-7.90761 + 1.21230i) q^{64} +(-6.25479 + 7.84326i) q^{65} +(2.94789 - 0.521072i) q^{66} +(-2.46832 - 10.8144i) q^{67} +(9.38793 + 2.01168i) q^{68} +(-3.81296 - 6.06830i) q^{69} +(10.3853 + 0.513928i) q^{70} +(2.83651 - 12.4276i) q^{71} +(0.651573 + 2.10292i) q^{72} +(11.0712 + 3.87399i) q^{73} +(4.60459 - 2.58501i) q^{74} +(-2.30737 - 2.30737i) q^{75} +(5.42882 - 2.70396i) q^{76} +(-6.18908 - 0.697341i) q^{77} +(-10.3351 - 7.23027i) q^{78} +(-4.00593 + 6.37540i) q^{79} +(4.31924 + 5.12992i) q^{80} +(-5.45901 + 2.62892i) q^{81} +(0.240114 + 0.813078i) q^{82} +(-3.24233 + 2.58567i) q^{83} +(0.173977 + 13.0723i) q^{84} +(-2.65816 - 7.59657i) q^{85} +(-0.261033 - 0.288213i) q^{86} +(4.72662 + 6.48741i) q^{87} +(-2.38937 - 3.22894i) q^{88} +(11.5416 - 4.03858i) q^{89} +(1.22055 - 1.38422i) q^{90} +(16.3616 + 20.5168i) q^{91} +(-5.00749 + 8.20992i) q^{92} +(-1.42540 - 2.95987i) q^{93} +(-0.155820 - 2.47977i) q^{94} +(-4.30476 - 2.70486i) q^{95} +(-6.09661 + 5.82440i) q^{96} +(0.301951 - 2.67989i) q^{97} +(4.67858 - 16.6555i) q^{98} +(-0.781646 + 0.781646i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$144 q - 12 q^{2} - 14 q^{4} - 28 q^{5} - 14 q^{6} - 12 q^{8} - 28 q^{9} - 8 q^{10} - 12 q^{12} - 28 q^{13} - 14 q^{14} + 2 q^{16} - 4 q^{17} + 14 q^{18} + 14 q^{20} - 28 q^{21} - 14 q^{22} - 22 q^{24} - 12 q^{25}+ \cdots - 110 q^{98}+O(q^{100})$ 144 * q - 12 * q^2 - 14 * q^4 - 28 * q^5 - 14 * q^6 - 12 * q^8 - 28 * q^9 - 8 * q^10 - 12 * q^12 - 28 * q^13 - 14 * q^14 + 2 * q^16 - 4 * q^17 + 14 * q^18 + 14 * q^20 - 28 * q^21 - 14 * q^22 - 22 * q^24 - 12 * q^25 - 30 * q^26 - 36 * q^29 + 16 * q^30 - 12 * q^32 - 28 * q^33 - 56 * q^34 - 50 * q^36 - 36 * q^37 - 14 * q^38 - 60 * q^40 - 12 * q^41 - 14 * q^42 + 30 * q^44 + 36 * q^46 + 136 * q^48 + 12 * q^49 + 56 * q^50 + 66 * q^52 + 48 * q^53 + 56 * q^54 + 52 * q^56 + 184 * q^58 + 108 * q^60 - 28 * q^61 + 84 * q^62 + 112 * q^64 - 68 * q^65 + 92 * q^66 + 68 * q^68 - 44 * q^69 + 46 * q^70 + 4 * q^72 - 148 * q^73 - 32 * q^74 - 14 * q^76 - 60 * q^77 + 2 * q^78 - 14 * q^80 + 36 * q^81 + 6 * q^82 + 28 * q^84 - 92 * q^85 - 48 * q^88 + 28 * q^89 + 28 * q^90 - 14 * q^92 - 28 * q^93 + 62 * q^94 - 56 * q^96 + 184 * q^97 - 110 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/116\mathbb{Z}\right)^\times$ .

$n$	$59$	$89$
$\chi(n)$	$-1$	$e\left(\frac{25}{28}\right)$

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

)

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

$2$	−1.24228	−	0.675831i	−0.878423	−	0.477884i
$2$	−1.24228	−	0.675831i	−0.878423	−	0.477884i
$3$	−1.48114	+	0.166885i	−0.855138	+	0.0963509i	−0.528639	−	0.848847i	$-0.677298\pi$
$3$	−1.48114	+	0.166885i	−0.855138	+	0.0963509i	−0.326499	+	0.945198i	$0.605869\pi$
$4$	1.08651	+	1.67914i	0.543253	+	0.839569i
$5$	0.727418	−	1.51050i	0.325311	−	0.675516i	−0.672608	−	0.739999i	$-0.734826\pi$
$5$	0.727418	−	1.51050i	0.325311	−	0.675516i	0.997919	+	0.0644837i	$0.0205401\pi$
$6$	1.95278	+	0.793685i	0.797217	+	0.324020i
$7$	−3.42876	−	2.73435i	−1.29595	−	1.03349i	−0.996854	−	0.0792629i	$-0.974743\pi$
$7$	−3.42876	−	2.73435i	−1.29595	−	1.03349i	−0.299096	−	0.954223i	$-0.596685\pi$
$8$	−0.214928	−	2.82025i	−0.0759886	−	0.997109i
$9$	−0.758851	+	0.173203i	−0.252950	+	0.0577342i
$10$	−1.92450	+	1.38485i	−0.608579	+	0.437927i
$11$	1.20249	−	0.755577i	0.362566	−	0.227815i	−0.338412	−	0.940998i	$-0.609890\pi$
$11$	1.20249	−	0.755577i	0.362566	−	0.227815i	0.700978	+	0.713183i	$0.252747\pi$
$12$	−1.88949	−	2.30572i	−0.545449	−	0.665605i
$13$	−5.83372	−	1.33151i	−1.61798	−	0.369294i	−0.684809	−	0.728722i	$-0.740115\pi$
$13$	−5.83372	−	1.33151i	−1.61798	−	0.369294i	−0.933173	+	0.359428i	$0.882972\pi$
$14$	2.41152	+	5.71408i	0.644505	+	1.52715i
$15$	−0.825331	+	2.35866i	−0.213099	+	0.609003i
$16$	−1.63901	+	3.64879i	−0.409753	+	0.912197i
$17$	3.39448	−	3.39448i	0.823283	−	0.823283i	−0.163294	−	0.986577i	$-0.552212\pi$
$17$	3.39448	−	3.39448i	0.823283	−	0.823283i	0.986577	+	0.163294i	$0.0522120\pi$
$18$	1.05976	+	0.297689i	0.249788	+	0.0701659i
$19$	0.339529	−	3.01340i	0.0778933	−	0.691322i	−0.892709	−	0.450634i	$-0.851198\pi$
$19$	0.339529	−	3.01340i	0.0778933	−	0.691322i	0.970602	−	0.240689i	$-0.0773733\pi$
$20$	3.32668	−	0.419730i	0.743868	−	0.0938546i
$21$	5.53481	+	3.47775i	1.20779	+	0.758907i
$22$	−2.00447	+	0.125954i	−0.427355	+	0.0268535i
$23$	2.08623	+	4.33210i	0.435009	+	0.903305i	0.997091	+	0.0762234i	$0.0242862\pi$
$23$	2.08623	+	4.33210i	0.435009	+	0.903305i	−0.562082	+	0.827081i	$0.689999\pi$
$24$	0.788996	+	4.14132i	0.161053	+	0.845344i
$25$	1.36498	+	1.71163i	0.272996	+	0.342326i
$26$	6.34722	+	5.59671i	1.24479	+	1.09760i
$27$	5.31568	−	1.86004i	1.02300	−	0.357964i
$28$	0.865976	−	8.72825i	0.163654	−	1.64948i
$29$	−2.66387	−	4.68015i	−0.494668	−	0.869082i
$29$	−2.66387	−	4.68015i	−0.494668	−	0.869082i
$30$	2.61934	−	2.37232i	0.478225	−	0.433125i
$31$	0.727961	+	2.08039i	0.130746	+	0.373650i	0.990582	−	0.136920i	$-0.0437203\pi$
$31$	0.727961	+	2.08039i	0.130746	+	0.373650i	−0.859836	+	0.510570i	$0.829435\pi$
$32$	4.50207	−	3.42511i	0.795861	−	0.605480i
$33$	−1.65497	+	1.31980i	−0.288094	+	0.229747i
$34$	−6.51099	+	1.92279i	−1.11662	+	0.329756i
$35$	−6.62437	+	3.19013i	−1.11972	+	0.539230i
$36$	−1.11533	−	1.08603i	−0.185888	−	0.181005i
$37$	−1.98657	+	3.16161i	−0.326591	+	0.519766i	−0.969151	−	0.246469i	$-0.920730\pi$
$37$	−1.98657	+	3.16161i	−0.326591	+	0.519766i	0.642560	+	0.766236i	$0.277872\pi$
$38$	−2.45834	+	3.51402i	−0.398795	+	0.570049i
$39$	8.86278	+	0.998595i	1.41918	+	0.159903i
$40$	−4.41633	−	1.72685i	−0.698282	−	0.273039i
$41$	−0.423896	−	0.423896i	−0.0662014	−	0.0662014i	0.673231	−	0.739432i	$-0.264906\pi$
$41$	−0.423896	−	0.423896i	−0.0662014	−	0.0662014i	−0.739432	+	0.673231i	$0.764906\pi$
$42$	−4.52539	−	8.06092i	−0.698283	−	1.24383i
$43$	0.259529	+	0.0908133i	0.0395779	+	0.0138489i	0.349995	−	0.936751i	$-0.386183\pi$
$43$	0.259529	+	0.0908133i	0.0395779	+	0.0138489i	−0.310418	+	0.950600i	$0.600469\pi$
$44$	2.57524	+	1.19822i	0.388231	+	0.180638i
$45$	−0.290379	+	1.27223i	−0.0432872	+	0.189653i
$46$	0.336091	−	6.79160i	0.0495539	−	1.00137i
$47$	0.934739	+	1.48763i	0.136346	+	0.216993i	0.907917	−	0.419150i	$-0.137672\pi$
$47$	0.934739	+	1.48763i	0.136346	+	0.216993i	−0.771571	+	0.636143i	$0.780529\pi$
$48$	1.81868	−	5.67790i	0.262504	−	0.819534i
$49$	2.72211	+	11.9263i	0.388873	+	1.70376i
$50$	−0.538911	−	3.04881i	−0.0762135	−	0.431167i
$51$	−4.46123	+	5.59420i	−0.624697	+	0.783345i
$52$	−4.10258	−	11.2423i	−0.568926	−	1.55903i
$53$	−0.888932	−	0.428087i	−0.122104	−	0.0588023i	0.371834	−	0.928299i	$-0.378729\pi$
$53$	−0.888932	−	0.428087i	−0.122104	−	0.0588023i	−0.493939	+	0.869497i	$0.664443\pi$
$54$	−7.86061	−	1.28182i	−1.06969	−	0.174433i
$55$	−0.266583	−	2.36599i	−0.0359460	−	0.319030i
$56$	−6.97460	+	10.2577i	−0.932020	+	1.37074i
$57$			4.51994i			0.598681i
$58$	0.146278	+	7.61437i	0.0192073	+	0.999816i
$59$		−	6.65855i		−	0.866869i	−0.901185	−	0.433434i	$-0.857302\pi$
$59$		−	6.65855i		−	0.866869i	0.901185	−	0.433434i	$-0.142698\pi$
$60$	−4.85724	+	1.17685i	−0.627067	+	0.151931i
$61$	−1.19213	−	10.5805i	−0.152637	−	1.35469i	−0.803415	−	0.595420i	$-0.796986\pi$
$61$	−1.19213	−	10.5805i	−0.152637	−	1.35469i	0.650778	−	0.759268i	$-0.274443\pi$
$62$	0.501664	−	3.07640i	0.0637114	−	0.390704i
$63$	3.07551	+	1.48109i	0.387478	+	0.186600i
$64$	−7.90761	+	1.21230i	−0.988451	+	0.151538i
$65$	−6.25479	+	7.84326i	−0.775811	+	0.972837i
$66$	2.94789	−	0.521072i	0.362860	−	0.0641395i
$67$	−2.46832	−	10.8144i	−0.301553	−	1.32119i	−0.867783	−	0.496943i	$-0.834456\pi$
$67$	−2.46832	−	10.8144i	−0.301553	−	1.32119i	0.566230	−	0.824247i	$-0.308401\pi$
$68$	9.38793	+	2.01168i	1.13845	+	0.243952i
$69$	−3.81296	−	6.06830i	−0.459027	−	0.730537i
$70$	10.3853	+	0.513928i	1.24128	+	0.0614262i
$71$	2.83651	−	12.4276i	0.336632	−	1.47488i	−0.469389	−	0.882992i	$-0.655526\pi$
$71$	2.83651	−	12.4276i	0.336632	−	1.47488i	0.806020	−	0.591888i	$-0.201617\pi$
$72$	0.651573	+	2.10292i	0.0767886	+	0.247832i
$73$	11.0712	+	3.87399i	1.29579	+	0.453416i	0.888077	−	0.459695i	$-0.152041\pi$
$73$	11.0712	+	3.87399i	1.29579	+	0.453416i	0.407711	+	0.913111i	$0.366327\pi$
$74$	4.60459	−	2.58501i	0.535273	−	0.300502i
$75$	−2.30737	−	2.30737i	−0.266433	−	0.266433i
$76$	5.42882	−	2.70396i	0.622729	−	0.310166i
$77$	−6.18908	−	0.697341i	−0.705311	−	0.0794694i
$78$	−10.3351	−	7.23027i	−1.17022	−	0.818667i
$79$	−4.00593	+	6.37540i	−0.450702	+	0.717289i	−0.992369	−	0.123305i	$-0.960651\pi$
$79$	−4.00593	+	6.37540i	−0.450702	+	0.717289i	0.541666	+	0.840594i	$0.317794\pi$
$80$	4.31924	+	5.12992i	0.482906	+	0.573542i
$81$	−5.45901	+	2.62892i	−0.606557	+	0.292103i
$82$	0.240114	+	0.813078i	0.0265162	+	0.0897894i
$83$	−3.24233	+	2.58567i	−0.355892	+	0.283814i	−0.785072	−	0.619405i	$-0.787374\pi$
$83$	−3.24233	+	2.58567i	−0.355892	+	0.283814i	0.429180	+	0.903219i	$0.358803\pi$
$84$	0.173977	+	13.0723i	0.0189824	+	1.42630i
$85$	−2.65816	−	7.59657i	−0.288317	−	0.823964i
$86$	−0.261033	−	0.288213i	−0.0281479	−	0.0310788i
$87$	4.72662	+	6.48741i	0.506747	+	0.695523i
$88$	−2.38937	−	3.22894i	−0.254707	−	0.344206i
$89$	11.5416	−	4.03858i	1.22341	−	0.428088i	0.360169	−	0.932887i	$-0.382719\pi$
$89$	11.5416	−	4.03858i	1.22341	−	0.428088i	0.863237	+	0.504799i	$0.168433\pi$
$90$	1.22055	−	1.38422i	0.128657	−	0.145910i
$91$	16.3616	+	20.5168i	1.71516	+	2.15075i
$92$	−5.00749	+	8.20992i	−0.522067	+	0.855943i
$93$	−1.42540	−	2.95987i	−0.147807	−	0.306925i
$94$	−0.155820	−	2.47977i	−0.0160716	−	0.255769i
$95$	−4.30476	−	2.70486i	−0.441659	−	0.277513i
$96$	−6.09661	+	5.82440i	−0.622232	+	0.594451i
$97$	0.301951	−	2.67989i	0.0306585	−	0.272101i	−0.969025	−	0.246961i	$-0.920568\pi$
$97$	0.301951	−	2.67989i	0.0306585	−	0.272101i	0.999684	−	0.0251406i	$-0.00800333\pi$
$98$	4.67858	−	16.6555i	0.472608	−	1.68246i
$99$	−0.781646	+	0.781646i	−0.0785583	+	0.0785583i
$100$	−1.39101	+	4.15168i	−0.139101	+	0.415168i
$101$	0.252635	−	0.721989i	0.0251381	−	0.0718406i	−0.930631	−	0.365960i	$-0.880741\pi$
$101$	0.252635	−	0.721989i	0.0251381	−	0.0718406i	0.955769	+	0.294120i	$0.0950264\pi$
$102$	9.32282	−	3.93452i	0.923096	−	0.389575i
$103$	−12.1693	−	2.77757i	−1.19908	−	0.273682i	−0.424068	−	0.905630i	$-0.639398\pi$
$103$	−12.1693	−	2.77757i	−1.19908	−	0.273682i	−0.775010	+	0.631949i	$0.782255\pi$
$104$	−2.50135	+	16.7387i	−0.245278	+	1.64137i
$105$	9.27925	−	5.83054i	0.905562	−	0.569003i
$106$	0.814985	+	1.13257i	0.0791584	+	0.110005i
$107$	−3.47397	+	0.792912i	−0.335842	+	0.0766537i	−0.387116	−	0.922031i	$-0.626529\pi$
$107$	−3.47397	+	0.792912i	−0.335842	+	0.0766537i	0.0512746	+	0.998685i	$0.483672\pi$
$108$	8.89877	+	6.90482i	0.856285	+	0.664416i
$109$	2.43007	+	1.93792i	0.232758	+	0.185619i	0.732923	−	0.680312i	$-0.238156\pi$
$109$	2.43007	+	1.93792i	0.232758	+	0.185619i	−0.500164	+	0.865931i	$0.666727\pi$
$110$	−1.26784	+	3.11938i	−0.120883	+	0.297421i
$111$	2.41477	−	5.01433i	0.229200	−	0.475939i
$112$	15.5968	−	8.02920i	1.47376	−	0.758688i
$113$	0.806314	−	0.0908498i	0.0758516	−	0.00854643i	−0.0739571	−	0.997261i	$-0.523563\pi$
$113$	0.806314	−	0.0908498i	0.0758516	−	0.00854643i	0.149809	+	0.988715i	$0.452134\pi$
$114$	3.05472	−	5.61502i	0.286100	−	0.525895i
$115$	8.06119			0.751710
$116$	4.96431	−	9.55802i	0.460924	−	0.887440i
$117$	4.65754			0.430590
$118$	−4.50005	+	8.27176i	−0.414263	+	0.761477i
$119$	−20.9206	+	2.35718i	−1.91779	+	0.216083i
$120$	6.82939	+	1.82070i	0.623435	+	0.166206i
$121$	−3.89763	+	8.09350i	−0.354330	+	0.735773i
$122$	−5.66964	+	13.9495i	−0.513305	+	1.26293i
$123$	0.698592	+	0.557108i	0.0629899	+	0.0502328i
$124$	−2.70233	+	3.48271i	−0.242677	+	0.312756i
$125$	11.7508	−	2.68204i	1.05102	−	0.239889i
$126$	−2.81968	−	3.91845i	−0.251197	−	0.349083i
$127$	12.2086	−	7.67117i	1.08334	−	0.680706i	0.132746	−	0.991150i	$-0.457620\pi$
$127$	12.2086	−	7.67117i	1.08334	−	0.680706i	0.950592	+	0.310444i	$0.100478\pi$
$128$	10.6428	+	3.83819i	0.940696	+	0.339251i
$129$	−0.399555	−	0.0911959i	−0.0351789	−	0.00802935i
$130$	13.0709	−	5.51632i	1.14639	−	0.483814i
$131$	−2.26804	+	6.48170i	−0.198160	+	0.566309i	−0.999491	−	0.0319131i	$-0.989840\pi$
$131$	−2.26804	+	6.48170i	−0.198160	+	0.566309i	0.801331	+	0.598222i	$0.204126\pi$
$132$	−4.01425	−	1.34496i	−0.349396	−	0.117064i
$133$	−9.40385	+	9.40385i	−0.815418	+	0.815418i
$134$	−4.24238	+	15.1027i	−0.366485	+	1.30467i
$135$	1.05714	−	9.38235i	0.0909838	−	0.807504i
$136$	−10.3029	−	8.84372i	−0.883463	−	0.758343i
$137$	−13.3981	−	8.41856i	−1.14467	−	0.719246i	−0.180253	−	0.983620i	$-0.557692\pi$
$137$	−13.3981	−	8.41856i	−1.14467	−	0.719246i	−0.964420	+	0.264375i	$0.914834\pi$
$138$	0.635617	+	10.1154i	0.0541073	+	0.861082i
$139$	−1.75652	−	3.64746i	−0.148986	−	0.309373i	0.813097	−	0.582128i	$-0.197780\pi$
$139$	−1.75652	−	3.64746i	−0.148986	−	0.309373i	−0.962084	+	0.272755i	$0.912065\pi$
$140$	−12.5541	−	7.65714i	−1.06101	−	0.647146i
$141$	−1.63274	−	2.04740i	−0.137502	−	0.172422i
$142$	−11.9227	+	13.5215i	−1.00053	+	1.13470i
$143$	−8.02107	+	2.80669i	−0.670755	+	0.234707i
$144$	0.611785	−	3.05277i	0.0509821	−	0.254397i
$145$	−9.00711	+	0.619350i	−0.747999	+	0.0514342i
$146$	−11.1354	−	12.2948i	−0.921569	−	1.01753i
$147$	−6.02216	−	17.2103i	−0.496699	−	1.41949i
$148$	−7.46721	+	0.0993797i	−0.613801	+	0.00816896i
$149$	14.4228	−	11.5018i	1.18156	−	0.942264i	0.182401	−	0.983224i	$-0.441613\pi$
$149$	14.4228	−	11.5018i	1.18156	−	0.942264i	0.999161	+	0.0409602i	$0.0130417\pi$
$150$	1.30700	+	4.42579i	0.106716	+	0.361364i
$151$	−17.2738	+	8.31864i	−1.40573	+	0.676962i	−0.974314	−	0.225194i	$-0.927698\pi$
$151$	−17.2738	+	8.31864i	−1.40573	+	0.676962i	−0.431411	+	0.902155i	$0.641984\pi$
$152$	−8.57153	−	0.309891i	−0.695242	−	0.0251355i
$153$	−1.98797	+	3.16384i	−0.160718	+	0.255781i
$154$	7.21726	+	5.04906i	0.581584	+	0.406865i
$155$	3.67196	+	0.413731i	0.294939	+	0.0332317i
$156$	7.95268	+	15.9668i	0.636724	+	1.27837i
$157$	−9.86218	−	9.86218i	−0.787088	−	0.787088i	0.193928	−	0.981016i	$-0.437877\pi$
$157$	−9.86218	−	9.86218i	−0.787088	−	0.787088i	−0.981016	+	0.193928i	$0.937877\pi$
$158$	9.28517	−	5.21269i	0.738688	−	0.414699i
$159$	1.38808	+	0.485709i	0.110082	+	0.0385192i
$160$	−1.89874	−	9.29185i	−0.150109	−	0.734586i
$161$	4.69228	−	20.5582i	0.369803	−	1.62021i
$162$	8.55832	+	0.423518i	0.672405	+	0.0332748i
$163$	9.12043	+	14.5151i	0.714367	+	1.13691i	0.984720	+	0.174148i	$0.0557170\pi$
$163$	9.12043	+	14.5151i	0.714367	+	1.13691i	−0.270352	+	0.962762i	$0.587140\pi$
$164$	0.251214	−	1.17234i	0.0196166	−	0.0915448i
$165$	0.789694	+	3.45987i	0.0614776	+	0.269351i
$166$	5.77535	−	1.02086i	0.448254	−	0.0792338i
$167$	9.85453	−	12.3572i	0.762566	−	0.956228i	−0.237318	−	0.971432i	$-0.576268\pi$
$167$	9.85453	−	12.3572i	0.762566	−	0.956228i	0.999884	+	0.0152043i	$0.00483987\pi$
$168$	8.61853	−	16.3570i	0.664934	−	1.26197i
$169$	20.5467	+	9.89479i	1.58052	+	0.761138i
$170$	−1.83183	+	11.2335i	−0.140495	+	0.861571i
$171$	0.264278	+	2.34553i	0.0202098	+	0.179367i
$172$	0.129492	+	0.534455i	0.00987368	+	0.0407518i
$173$			15.2284i			1.15779i	0.815401	+	0.578896i	$0.196516\pi$
$173$			15.2284i			1.15779i	−0.815401	+	0.578896i	$0.803484\pi$
$174$	−1.48738	−	11.2536i	−0.112758	−	0.853130i
$175$		−	9.60110i		−	0.725775i
$176$	0.786039	+	5.62604i	0.0592499	+	0.424079i
$177$	1.11121	+	9.86226i	0.0835236	+	0.741293i
$178$	−17.0672	−	2.78313i	−1.27924	−	0.208604i
$179$	1.63447	+	0.787118i	0.122166	+	0.0588320i	0.493968	−	0.869480i	$-0.335546\pi$
$179$	1.63447	+	0.787118i	0.122166	+	0.0588320i	−0.371803	+	0.928312i	$0.621260\pi$
$180$	−2.45176	+	0.894703i	−0.182743	+	0.0666872i
$181$	3.59115	−	4.50316i	0.266928	−	0.334717i	−0.630245	−	0.776396i	$-0.717046\pi$
$181$	3.59115	−	4.50316i	0.266928	−	0.334717i	0.897173	+	0.441679i	$0.145617\pi$
$182$	−6.45977	−	36.5453i	−0.478830	−	2.70892i
$183$	3.53143	+	15.4722i	0.261051	+	1.14374i
$184$	11.7692	−	6.81477i	0.867637	−	0.502392i
$185$	3.33055	+	5.30053i	0.244867	+	0.389703i
$186$	−0.229631	+	4.64031i	−0.0168374	+	0.340244i
$187$	1.51705	−	6.64664i	0.110938	−	0.486051i
$188$	−1.48234	+	3.18587i	−0.108110	+	0.232354i
$189$	−23.3122	−	8.15728i	−1.69571	−	0.593355i
$190$	3.51968	+	6.26948i	0.255345	+	0.454836i
$191$	−6.18557	−	6.18557i	−0.447572	−	0.447572i	0.446975	−	0.894547i	$-0.352501\pi$
$191$	−6.18557	−	6.18557i	−0.447572	−	0.447572i	−0.894547	+	0.446975i	$0.852501\pi$
$192$	11.5100	−	3.11525i	0.830662	−	0.224824i
$193$	−2.61162	−	0.294259i	−0.187988	−	0.0211812i	0.0174683	−	0.999847i	$-0.494439\pi$
$193$	−2.61162	−	0.294259i	−0.187988	−	0.0211812i	−0.205457	+	0.978666i	$0.565868\pi$
$194$	−2.18626	+	3.12510i	−0.156964	+	0.224369i
$195$	7.95532	−	12.6608i	0.569692	−	0.906660i
$196$	−17.0684	+	17.5288i	−1.21917	+	1.25206i
$197$	−11.4131	+	5.49627i	−0.813151	+	0.391593i	−0.793769	−	0.608219i	$-0.791884\pi$
$197$	−11.4131	+	5.49627i	−0.813151	+	0.391593i	−0.0193822	+	0.999812i	$0.506170\pi$
$198$	1.49928	−	0.442760i	0.106549	−	0.0314656i
$199$	−1.32388	+	1.05576i	−0.0938473	+	0.0748407i	−0.669289	−	0.743002i	$-0.733401\pi$
$199$	−1.32388	+	1.05576i	−0.0938473	+	0.0748407i	0.575442	+	0.817842i	$0.304830\pi$
$200$	4.53385	−	4.21746i	0.320592	−	0.298219i
$201$	5.46069	+	15.6058i	0.385168	+	1.10075i
$202$	−0.801785	+	0.726172i	−0.0564134	+	0.0510933i
$203$	−3.66337	+	23.3311i	−0.257118	+	1.63752i
$204$	−14.2406	−	1.41288i	−0.997041	−	0.0989217i
$205$	−0.948644	+	0.331945i	−0.0662561	+	0.0231840i
$206$	13.2405	+	11.6749i	0.922509	+	0.813429i
$207$	−2.33347	−	2.92608i	−0.162187	−	0.203376i
$208$	14.4199	−	19.1036i	0.999841	−	1.32460i
$209$	−1.86858	−	3.88014i	−0.129252	−	0.268395i
$210$	−15.4679	+	0.971945i	−1.06738	+	0.0670706i
$211$	4.58678	+	2.88207i	0.315767	+	0.198410i	0.680585	−	0.732669i	$-0.261726\pi$
$211$	4.58678	+	2.88207i	0.315767	+	0.198410i	−0.364818	+	0.931079i	$0.618869\pi$
$212$	−0.247012	−	1.95776i	−0.0169649	−	0.134459i
$213$	−2.12731	+	18.8804i	−0.145761	+	1.29366i
$214$	4.85151	+	1.36280i	0.331643	+	0.0931592i
$215$	0.325960	−	0.325960i	0.0222303	−	0.0222303i
$216$	−6.38825	−	14.5918i	−0.434666	−	0.992844i
$217$	3.19251	−	9.12367i	0.216722	−	0.619355i
$218$	−1.70912	−	4.04974i	−0.115756	−	0.274283i
$219$	−17.0446	−	3.89031i	−1.15176	−	0.262883i
$220$	3.68317	−	3.01829i	0.248320	−	0.203493i
$221$	−24.3222	+	15.2827i	−1.63609	+	1.02802i
$222$	−6.38866	+	4.59721i	−0.428779	+	0.308545i
$223$	26.2315	−	5.98718i	1.75659	−	0.400931i	0.781709	−	0.623643i	$-0.214348\pi$
$223$	26.2315	−	5.98718i	1.75659	−	0.400931i	0.974884	+	0.222712i	$0.0714910\pi$
$224$	−24.8020	−	0.566322i	−1.65715	−	0.0378390i
$225$	−1.33227	−	1.06245i	−0.0888183	−	0.0708302i
$226$	−1.06306	−	0.432071i	−0.0707140	−	0.0287409i
$227$	−2.09159	+	4.34323i	−0.138824	+	0.288270i	−0.958777	−	0.284161i	$-0.908285\pi$
$227$	−2.09159	+	4.34323i	−0.138824	+	0.288270i	0.819953	+	0.572431i	$0.193999\pi$
$228$	−7.58961	+	4.91094i	−0.502634	+	0.325235i
$229$	25.6647	−	2.89171i	1.69597	−	0.191090i	0.789613	−	0.613605i	$-0.210281\pi$
$229$	25.6647	−	2.89171i	1.69597	−	0.191090i	0.906356	+	0.422516i	$0.138853\pi$
$230$	−10.0142	−	5.44800i	−0.660319	−	0.359230i
$231$	9.28328			0.610795
$232$	−12.6266	+	8.51868i	−0.828980	+	0.559278i
$233$	−2.04655			−0.134074			−0.0670371	−	0.997750i	$-0.521355\pi$
$233$	−2.04655			−0.134074			−0.0670371	+	0.997750i	$0.521355\pi$
$234$	−5.78596	−	3.14771i	−0.378240	−	0.205772i
$235$	2.92701	−	0.329795i	0.190937	−	0.0215134i
$236$	11.1806	−	7.23455i	0.727796	−	0.470929i
$237$	4.86940	−	10.1114i	0.316301	−	0.656807i
$238$	27.5822	+	11.2105i	1.78789	+	0.726668i
$239$	22.8100	+	18.1904i	1.47546	+	1.17664i	0.944176	+	0.329443i	$0.106861\pi$
$239$	22.8100	+	18.1904i	1.47546	+	1.17664i	0.531282	+	0.847195i	$0.321711\pi$
$240$	−7.25352	−	6.87732i	−0.468213	−	0.443929i
$241$	−11.9003	+	2.71616i	−0.766565	+	0.174963i	−0.587886	−	0.808944i	$-0.700040\pi$
$241$	−11.9003	+	2.71616i	−0.766565	+	0.174963i	−0.178679	+	0.983907i	$0.557182\pi$
$242$	10.3118	−	7.42024i	0.662866	−	0.476991i
$243$	−6.65866	+	4.18392i	−0.427153	+	0.268398i
$244$	16.4708	−	13.4975i	1.05443	−	0.864087i
$245$	19.9948	+	4.56369i	1.27742	+	0.291564i
$246$	−0.491334	−	1.16421i	−0.0313263	−	0.0742275i
$247$	−5.99309	+	17.1273i	−0.381331	+	1.08978i
$248$	5.71077	−	2.50017i	0.362634	−	0.158761i
$249$	4.37084	−	4.37084i	0.276991	−	0.276991i
$250$	−16.4103	−	4.60971i	−1.03788	−	0.291543i
$251$	2.51278	−	22.3015i	0.158605	−	1.40766i	−0.622188	−	0.782868i	$-0.713756\pi$
$251$	2.51278	−	22.3015i	0.158605	−	1.40766i	0.780793	−	0.624790i	$-0.214815\pi$
$252$	0.854610	+	6.77343i	0.0538353	+	0.426686i
$253$	5.78191	+	3.63302i	0.363506	+	0.228406i
$254$	−20.3509	+	1.27878i	−1.27693	+	0.0802375i
$255$	5.20486	+	10.8080i	0.325941	+	0.676823i
$256$	−10.6273	−	11.9608i	−0.664206	−	0.747550i
$257$	6.20579	+	7.78181i	0.387106	+	0.485416i	0.936758	−	0.349978i	$-0.113811\pi$
$257$	6.20579	+	7.78181i	0.387106	+	0.485416i	−0.549652	+	0.835394i	$0.685240\pi$
$258$	0.434726	+	0.383322i	0.0270648	+	0.0238646i
$259$	15.4564	−	5.40844i	0.960416	−	0.336064i
$260$	−19.9658	−	1.98091i	−1.23823	−	0.122851i
$261$	2.83209	+	3.09014i	0.175302	+	0.191275i
$262$	7.19807	−	6.51925i	0.444698	−	0.402761i
$263$	3.84690	+	10.9938i	0.237210	+	0.677906i	0.999528	+	0.0307047i	$0.00977515\pi$
$263$	3.84690	+	10.9938i	0.237210	+	0.677906i	−0.762319	+	0.647202i	$0.775939\pi$
$264$	4.07785	+	4.38377i	0.250974	+	0.269802i
$265$	−1.29325	+	1.03133i	−0.0794437	+	0.0633542i
$266$	18.0376	−	5.32678i	1.10596	−	0.326606i
$267$	−16.4208	+	7.90782i	−1.00493	+	0.483951i
$268$	15.4771	−	15.8946i	0.945411	−	0.970915i
$269$	−4.46662	+	7.10859i	−0.272335	+	0.433418i	−0.954690	−	0.297603i	$-0.903813\pi$
$269$	−4.46662	+	7.10859i	−0.272335	+	0.433418i	0.682355	+	0.731021i	$0.260956\pi$
$270$	−7.65414	+	10.9410i	−0.465816	+	0.665850i
$271$	5.43760	+	0.612671i	0.330311	+	0.0372171i	0.275563	−	0.961283i	$-0.411136\pi$
$271$	5.43760	+	0.612671i	0.330311	+	0.0372171i	0.0547482	+	0.998500i	$0.482564\pi$
$272$	6.82215	+	17.9493i	0.413654	+	1.08834i
$273$	−27.6578	−	27.6578i	−1.67393	−	1.67393i
$274$	10.9546	+	19.5130i	0.661790	+	1.17882i
$275$	2.93465	+	1.02688i	0.176966	+	0.0619231i
$276$	6.04670	−	12.9957i	0.363969	−	0.782251i
$277$	−0.337834	+	1.48015i	−0.0202985	+	0.0889335i	−0.984063	−	0.177823i	$-0.943095\pi$
$277$	−0.337834	+	1.48015i	−0.0202985	+	0.0889335i	0.963764	+	0.266756i	$0.0859518\pi$
$278$	−0.282975	+	5.71826i	−0.0169717	+	0.342959i
$279$	−0.912743	−	1.45262i	−0.0546445	−	0.0869662i
$280$	10.4207	+	17.9967i	0.622757	+	1.07551i
$281$	−0.735802	−	3.22376i	−0.0438943	−	0.192313i	0.948227	−	0.317593i	$-0.102874\pi$
$281$	−0.735802	−	3.22376i	−0.0438943	−	0.192313i	−0.992122	+	0.125279i	$0.960017\pi$
$282$	0.644628	+	3.64689i	0.0383870	+	0.217169i
$283$	−6.00171	+	7.52590i	−0.356764	+	0.447369i	−0.927532	−	0.373743i	$-0.878074\pi$
$283$	−6.00171	+	7.52590i	−0.356764	+	0.447369i	0.570768	+	0.821112i	$0.306646\pi$
$284$	23.9495	−	8.73972i	1.42114	−	0.518607i
$285$	6.82737	+	3.28789i	0.404418	+	0.194758i
$286$	11.8612	+	1.93419i	0.701370	+	0.114371i
$287$	0.294360	+	2.61252i	0.0173755	+	0.154212i
$288$	−2.82316	+	3.37892i	−0.166356	+	0.199105i
$289$		−	6.04504i		−	0.355591i
$290$	11.6079	+	5.31787i	0.681639	+	0.312276i
$291$			4.01969i			0.235638i
$292$	5.52398	+	22.7992i	0.323266	+	1.33422i
$293$	0.388711	+	3.44990i	0.0227087	+	0.201546i	0.999944	−	0.0106145i	$-0.00337876\pi$
$293$	0.388711	+	3.44990i	0.0227087	+	0.201546i	−0.977235	+	0.212160i	$0.931950\pi$
$294$	−4.15009	+	25.4500i	−0.242038	+	1.48427i
$295$	−10.0577	−	4.84355i	−0.585584	−	0.282002i
$296$	9.34351	+	4.92311i	0.543081	+	0.286150i
$297$	4.98667	−	6.25309i	0.289356	−	0.362841i
$298$	−25.6904	+	4.54105i	−1.48820	+	0.263056i
$299$	−6.40224	−	28.0501i	−0.370251	−	1.62218i
$300$	1.36742	−	6.38137i	0.0789483	−	0.368429i
$301$	−0.641550	−	1.02102i	−0.0369783	−	0.0588506i
$302$	27.0809	+	1.34013i	1.55833	+	0.0771158i
$303$	−0.253699	+	1.11153i	−0.0145746	+	0.0638557i
$304$	10.4388	+	6.17787i	0.598705	+	0.354325i
$305$	−16.8489	−	5.89570i	−0.964767	−	0.337587i
$306$	4.60783	−	2.58683i	0.263412	−	0.147879i
$307$	−2.74855	−	2.74855i	−0.156868	−	0.156868i	0.624309	−	0.781177i	$-0.285381\pi$
$307$	−2.74855	−	2.74855i	−0.156868	−	0.156868i	−0.781177	+	0.624309i	$0.785381\pi$
$308$	−5.55353	−	11.1500i	−0.316442	−	0.635329i
$309$	18.4880	+	2.08310i	1.05175	+	0.118503i
$310$	−4.28198	−	2.99559i	−0.243200	−	0.170138i
$311$	13.2470	−	21.0824i	0.751167	−	1.19547i	−0.224127	−	0.974560i	$-0.571953\pi$
$311$	13.2470	−	21.0824i	0.751167	−	1.19547i	0.975293	−	0.220915i	$-0.0709042\pi$
$312$	0.911427	−	25.2099i	0.0515994	−	1.42723i
$313$	−10.9618	+	5.27893i	−0.619598	+	0.298383i	−0.717226	−	0.696840i	$-0.754589\pi$
$313$	−10.9618	+	5.27893i	−0.619598	+	0.298383i	0.0976282	+	0.995223i	$0.468874\pi$
$314$	5.58640	+	18.9167i	0.315259	+	1.06753i
$315$	4.47437	−	3.56819i	0.252102	−	0.201045i
$316$	−15.0577	+	0.200399i	−0.847059	+	0.0112733i
$317$	0.160280	+	0.458053i	0.00900220	+	0.0257268i	0.948297	−	0.317385i	$-0.102805\pi$
$317$	0.160280	+	0.458053i	0.00900220	+	0.0257268i	−0.939295	+	0.343112i	$0.888519\pi$
$318$	−1.39612	−	1.54149i	−0.0782904	−	0.0864424i
$319$	−6.73950	−	3.61509i	−0.377340	−	0.202406i
$320$	−3.92096	+	12.8263i	−0.219188	+	0.717011i
$321$	5.01313	−	1.75417i	0.279805	−	0.0979081i
$322$	−19.7230	+	22.3678i	−1.09912	+	1.24651i
$323$	−9.07643	−	11.3815i	−0.505026	−	0.633282i
$324$	−10.3456	−	6.31010i	−0.574754	−	0.350561i
$325$	−5.68385	−	11.8026i	−0.315283	−	0.654693i
$326$	−1.52037	−	24.1956i	−0.0842053	−	1.34007i
$327$	−3.92269	−	2.46479i	−0.216925	−	0.136303i
$328$	−1.10438	+	1.28660i	−0.0609794	+	0.0710405i
$329$	0.862695	−	7.65663i	0.0475619	−	0.422123i
$330$	1.35727	−	4.83182i	0.0747153	−	0.265983i
$331$	−19.7285	+	19.7285i	−1.08438	+	1.08438i	−0.0882803	+	0.996096i	$0.528137\pi$
$331$	−19.7285	+	19.7285i	−1.08438	+	1.08438i	−0.996096	+	0.0882803i	$0.971863\pi$
$332$	−7.86451	−	2.63497i	−0.431621	−	0.144613i
$333$	0.959913	−	2.74327i	0.0526029	−	0.150330i
$334$	−20.5934	+	8.69106i	−1.12682	+	0.475554i
$335$	−18.1307	−	4.13820i	−0.990584	−	0.226094i
$336$	−21.7612	+	14.4953i	−1.18717	+	0.790781i
$337$	−1.83112	+	1.15057i	−0.0997472	+	0.0626753i	−0.580982	−	0.813916i	$-0.697331\pi$
$337$	−1.83112	+	1.15057i	−0.0997472	+	0.0626753i	0.481235	+	0.876592i	$0.340188\pi$
$338$	−18.8376	−	26.1782i	−1.02463	−	1.42391i
$339$	−1.17910	+	0.269123i	−0.0640402	+	0.0146168i
$340$	9.86759	−	12.7171i	0.535145	−	0.689683i
$341$	2.44727	+	1.95163i	0.132527	+	0.105687i
$342$	1.25688	−	3.09241i	0.0679640	−	0.167218i
$343$	9.95756	−	20.6771i	0.537658	−	1.11646i
$344$	0.200336	−	0.751456i	0.0108014	−	0.0405158i
$345$	−11.9398	+	1.34529i	−0.642816	+	0.0724279i
$346$	10.2918	−	18.9179i	0.553291	−	1.01703i
$347$	17.2789			0.927582			0.463791	−	0.885945i	$-0.346489\pi$
$347$	17.2789			0.927582			0.463791	+	0.885945i	$0.346489\pi$
$348$	−5.75776	+	14.9853i	−0.308648	+	0.803294i
$349$	−2.10513			−0.112685			−0.0563426	−	0.998411i	$-0.517944\pi$
$349$	−2.10513			−0.112685			−0.0563426	+	0.998411i	$0.517944\pi$
$350$	−6.48872	+	11.9272i	−0.346836	+	0.637537i
$351$	−33.4868	+	3.77306i	−1.78739	+	0.201391i
$352$	2.82577	−	7.52034i	0.150614	−	0.400835i
$353$	10.5383	−	21.8831i	0.560900	−	1.16472i	−0.407010	−	0.913424i	$-0.633429\pi$
$353$	10.5383	−	21.8831i	0.560900	−	1.16472i	0.967910	−	0.251297i	$-0.0808570\pi$
$354$	5.28479	−	13.0026i	0.280883	−	0.691083i
$355$	−16.7085	−	13.3246i	−0.886794	−	0.707195i
$356$	19.3213	+	14.9920i	1.02403	+	0.794574i
$357$	30.5930	−	6.98265i	1.61915	−	0.369561i
$358$	−1.49850	−	2.08244i	−0.0791983	−	0.110060i
$359$	−27.0146	+	16.9744i	−1.42578	+	0.895874i	−0.999960	−	0.00893629i	$-0.997155\pi$
$359$	−27.0146	+	16.9744i	−1.42578	+	0.895874i	−0.425815	+	0.904810i	$0.640013\pi$
$360$	3.65043	+	0.545502i	0.192394	+	0.0287505i
$361$	9.55831	+	2.18162i	0.503069	+	0.114822i
$362$	−7.50458	+	3.16716i	−0.394432	+	0.166462i
$363$	4.42226	−	12.6381i	0.232108	−	0.663328i
$364$	−16.6736	+	49.7651i	−0.873934	+	2.60840i
$365$	13.9050	−	13.9050i	0.727823	−	0.727823i
$366$	6.06958	−	21.6074i	0.317262	−	1.12944i
$367$	−1.59937	+	14.1948i	−0.0834865	+	0.740963i	0.880324	+	0.474374i	$0.157325\pi$
$367$	−1.59937	+	14.1948i	−0.0834865	+	0.740963i	−0.963810	+	0.266590i	$0.914103\pi$
$368$	−19.2263	+	0.511848i	−1.00224	+	0.0266819i
$369$	0.395094	+	0.248254i	0.0205677	+	0.0129236i
$370$	−0.555198	−	8.83562i	−0.0288634	−	0.459342i
$371$	1.87740	+	3.89846i	0.0974696	+	0.202398i
$372$	3.42133	−	5.60936i	0.177388	−	0.290832i
$373$	−15.9977	−	20.0604i	−0.828328	−	1.03869i	−0.998579	−	0.0532895i	$-0.983029\pi$
$373$	−15.9977	−	20.0604i	−0.828328	−	1.03869i	0.170251	−	0.985401i	$-0.445542\pi$
$374$	−6.37660	+	7.23170i	−0.329726	+	0.373942i
$375$	−16.9570	+	5.93351i	−0.875656	+	0.306405i
$376$	3.99458	−	2.95593i	0.206005	−	0.152440i
$377$	9.30862	+	30.8496i	0.479418	+	1.58884i
$378$	23.4472	+	25.8887i	1.20600	+	1.33157i
$379$	−8.26934	−	23.6324i	−0.424767	−	1.21392i	−0.935238	−	0.354020i	$-0.884814\pi$
$379$	−8.26934	−	23.6324i	−0.424767	−	1.21392i	0.510470	−	0.859895i	$-0.329471\pi$
$380$	−0.135313	−	10.1671i	−0.00694139	−	0.521563i
$381$	−16.8025	+	13.3995i	−0.860817	+	0.686479i
$382$	3.50379	+	11.8646i	0.179270	+	0.607045i
$383$	9.63218	−	4.63861i	0.492181	−	0.237022i	−0.171294	−	0.985220i	$-0.554795\pi$
$383$	9.63218	−	4.63861i	0.492181	−	0.237022i	0.663476	+	0.748198i	$0.269081\pi$
$384$	−16.4040	−	3.90880i	−0.837112	−	0.199470i
$385$	−5.55538	+	8.84133i	−0.283128	+	0.450596i
$386$	3.04548	+	2.13056i	0.155011	+	0.108443i
$387$	−0.212673	−	0.0239625i	−0.0108108	−	0.00121808i
$388$	4.82797	−	2.40470i	0.245103	−	0.122080i
$389$	14.4265	+	14.4265i	0.731451	+	0.731451i	0.970907	−	0.239456i	$-0.0769690\pi$
$389$	14.4265	+	14.4265i	0.731451	+	0.731451i	−0.239456	+	0.970907i	$0.576969\pi$
$390$	−18.4393	+	10.3518i	−0.933709	+	0.524184i
$391$	21.7869	+	7.62357i	1.10181	+	0.385540i
$392$	33.0502	−	10.2403i	1.66929	−	0.517215i
$393$	2.27760	−	9.97882i	0.114890	−	0.503365i
$394$	17.8928	+	0.885447i	0.901427	+	0.0446082i
$395$	6.71605	+	10.6885i	0.337921	+	0.537799i
$396$	−2.16175	−	0.463229i	−0.108632	−	0.0232781i
$397$	5.56387	+	24.3769i	0.279243	+	1.22344i	0.898754	+	0.438454i	$0.144474\pi$
$397$	5.56387	+	24.3769i	0.279243	+	1.22344i	−0.619511	+	0.784988i	$0.712669\pi$
$398$	2.35814	−	0.416826i	0.118203	−	0.0208936i
$399$	12.3591	−	15.4978i	0.618728	−	0.775861i
$400$	−8.48259	+	2.17514i	−0.424129	+	0.108757i
$401$	−31.0594	−	14.9574i	−1.55103	−	0.746938i	−0.554663	−	0.832075i	$-0.687153\pi$
$401$	−31.0594	−	14.9574i	−1.55103	−	0.746938i	−0.996369	+	0.0851376i	$0.972867\pi$
$402$	3.76316	−	23.0772i	0.187689	−	1.15099i
$403$	−1.47666	−	13.1057i	−0.0735576	−	0.652842i
$404$	1.48681	−	0.360236i	0.0739715	−	0.0179224i
$405$			10.1582i			0.504763i
$406$	20.3188	−	26.5078i	1.00840	−	1.31556i
$407$			5.30283i			0.262852i
$408$	16.7359	+	11.3794i	0.828550	+	0.563365i
$409$	−3.26009	−	28.9341i	−0.161201	−	1.43070i	−0.770339	−	0.637634i	$-0.779913\pi$
$409$	−3.26009	−	28.9341i	−0.161201	−	1.43070i	0.609138	−	0.793064i	$-0.291515\pi$
$410$	1.40282	+	0.228755i	0.0692802	+	0.0112974i
$411$	21.2494	+	10.2332i	1.04815	+	0.504764i
$412$	−8.55811	−	23.4518i	−0.421628	−	1.15539i
$413$	−18.2068	+	22.8306i	−0.895897	+	1.12342i
$414$	0.921282	+	5.21203i	0.0452785	+	0.256157i
$415$	1.54713	+	6.77840i	0.0759454	+	0.332739i
$416$	−30.8244	+	13.9866i	−1.51129	+	0.685749i
$417$	3.21036	+	5.10927i	0.157212	+	0.250202i
$418$	−0.301027	+	6.08305i	−0.0147237	+	0.297532i
$419$	−2.12451	+	9.30809i	−0.103789	+	0.454730i	0.896151	+	0.443750i	$0.146352\pi$
$419$	−2.12451	+	9.30809i	−0.103789	+	0.454730i	−0.999940	+	0.0109798i	$0.996505\pi$
$420$	19.8722	+	9.24623i	0.969666	+	0.451170i
$421$	−6.25455	−	2.18856i	−0.304828	−	0.106664i	0.173531	−	0.984828i	$-0.444482\pi$
$421$	−6.25455	−	2.18856i	−0.304828	−	0.106664i	−0.478359	+	0.878164i	$0.658768\pi$
$422$	−3.75027	−	6.68021i	−0.182560	−	0.325188i
$423$	−0.966989	−	0.966989i	−0.0470166	−	0.0470166i
$424$	−1.01626	+	2.59902i	−0.0493537	+	0.126219i
$425$	10.4435	+	1.17670i	0.506584	+	0.0570783i
$426$	15.4026	−	22.0169i	0.746260	−	1.06672i
$427$	−24.8431	+	39.5375i	−1.20224	+	1.91336i
$428$	−5.10590	−	4.97178i	−0.246803	−	0.240320i
$429$	11.4120	−	5.49571i	0.550974	−	0.265335i
$430$	−0.625226	+	0.184639i	−0.0301511	+	0.00890407i
$431$	−7.44228	+	5.93502i	−0.358482	+	0.285880i	−0.786125	−	0.618068i	$-0.787916\pi$
$431$	−7.44228	+	5.93502i	−0.358482	+	0.285880i	0.427643	+	0.903948i	$0.359344\pi$
$432$	−1.92558	+	22.4444i	−0.0926444	+	1.07986i
$433$	−2.50679	−	7.16399i	−0.120469	−	0.344279i	0.867819	−	0.496880i	$-0.165521\pi$
$433$	−2.50679	−	7.16399i	−0.120469	−	0.344279i	−0.988288	+	0.152600i	$0.951235\pi$
$434$	−10.1320	+	9.17653i	−0.486353	+	0.440488i
$435$	13.2374	−	2.42049i	0.634687	−	0.116054i
$436$	−0.613744	+	6.18598i	−0.0293930	+	0.296255i
$437$	13.7627	−	4.81578i	0.658359	−	0.230370i
$438$	18.5449	+	16.3521i	0.886108	+	0.781332i
$439$	−9.94147	−	12.4662i	−0.474481	−	0.594980i	0.485781	−	0.874080i	$-0.338535\pi$
$439$	−9.94147	−	12.4662i	−0.474481	−	0.594980i	−0.960262	+	0.279100i	$0.909964\pi$
$440$	−6.61538	+	1.26035i	−0.315376	+	0.0600847i
$441$	−4.13135	−	8.57884i	−0.196731	−	0.408516i
$442$	40.5435	−	2.54761i	1.92846	−	0.121177i
$443$	32.9127	+	20.6804i	1.56373	+	0.982557i	0.986080	+	0.166273i	$0.0531734\pi$
$443$	32.9127	+	20.6804i	1.56373	+	0.982557i	0.577651	+	0.816284i	$0.303969\pi$
$444$	11.0434	−	1.39336i	0.524098	−	0.0661259i
$445$	2.29529	−	20.3713i	0.108807	−	0.965692i
$446$	−36.6332	−	10.2903i	−1.73463	−	0.487262i
$447$	−19.4427	+	19.4427i	−0.919610	+	0.919610i
$448$	30.4282	+	17.4655i	1.43760	+	0.825165i
$449$	−1.31600	+	3.76090i	−0.0621057	+	0.177488i	−0.970755	−	0.240072i	$-0.922829\pi$
$449$	−1.31600	+	3.76090i	−0.0621057	+	0.177488i	0.908649	+	0.417560i	$0.137115\pi$
$450$	0.937016	+	2.22025i	0.0441713	+	0.104664i
$451$	−0.830018	−	0.189446i	−0.0390840	−	0.00892068i
$452$	1.02861	+	1.25520i	0.0483819	+	0.0590398i
$453$	24.1968	−	15.2038i	1.13686	−	0.714338i
$454$	5.53362	−	3.98193i	0.259706	−	0.186881i
$455$	42.8924	−	9.78991i	2.01083	−	0.458958i
$456$	12.7474	−	0.971463i	0.596950	−	0.0454929i
$457$	16.2291	+	12.9423i	0.759165	+	0.605414i	0.924659	−	0.380797i	$-0.124350\pi$
$457$	16.2291	+	12.9423i	0.759165	+	0.605414i	−0.165493	+	0.986211i	$0.552922\pi$
$458$	−33.8369	−	13.7527i	−1.58110	−	0.642619i
$459$	11.7301	−	24.3578i	0.547515	−	1.13693i
$460$	8.75853	+	13.5359i	0.408368	+	0.631112i
$461$	10.5294	−	1.18638i	0.490405	−	0.0552554i	0.136700	−	0.990612i	$-0.456350\pi$
$461$	10.5294	−	1.18638i	0.490405	−	0.0552554i	0.353705	+	0.935357i	$0.384922\pi$
$462$	−11.5324	−	6.27393i	−0.536536	−	0.291889i
$463$	−9.26973			−0.430801			−0.215401	−	0.976526i	$-0.569106\pi$
$463$	−9.26973			−0.430801			−0.215401	+	0.976526i	$0.569106\pi$
$464$	21.4430	−	2.04908i	0.995465	−	0.0951263i
$465$	−5.50775			−0.255416
$466$	2.54239	+	1.38312i	0.117774	+	0.0640720i
$467$	35.1622	−	3.96183i	1.62711	−	0.183331i	0.749264	−	0.662271i	$-0.230407\pi$
$467$	35.1622	−	3.96183i	1.62711	−	0.183331i	0.877848	+	0.478940i	$0.158979\pi$
$468$	5.06045	+	7.82066i	0.233919	+	0.361510i
$469$	−21.1071	+	43.8293i	−0.974634	+	2.02385i
$470$	−3.85904	−	1.56847i	−0.178004	−	0.0723479i
$471$	16.2531	+	12.9614i	0.748905	+	0.597232i
$472$	−18.7788	+	1.43111i	−0.864363	+	0.0658721i
$473$	0.380699	−	0.0868921i	0.0175046	−	0.00399530i
$474$	−12.8827	+	9.27029i	−0.591724	+	0.425798i
$475$	5.62128	−	3.53209i	0.257922	−	0.162063i
$476$	−26.6884	−	32.5674i	−1.22326	−	1.49273i
$477$	0.748712	+	0.170889i	0.0342812	+	0.00782446i
$478$	−16.0427	−	38.0132i	−0.733778	−	1.73868i
$479$	8.08154	−	23.0957i	0.369255	−	1.05527i	−0.598007	−	0.801491i	$-0.704041\pi$
$479$	8.08154	−	23.0957i	0.369255	−	1.05527i	0.967262	−	0.253779i	$-0.0816737\pi$
$480$	4.36298	+	13.4457i	0.199142	+	0.613709i
$481$	15.7988	−	15.7988i	0.720365	−	0.720365i
$482$	16.6191	+	4.66835i	0.756980	+	0.212638i
$483$	−3.51908	+	31.2327i	−0.160124	+	1.42114i
$484$	−17.8249	+	2.24898i	−0.810223	+	0.102227i
$485$	−3.82832	−	2.40549i	−0.173835	−	0.109228i
$486$	11.0995	−	0.697454i	0.503485	−	0.0316372i
$487$	9.42584	+	19.5730i	0.427126	+	0.886936i	0.997834	+	0.0657827i	$0.0209544\pi$
$487$	9.42584	+	19.5730i	0.427126	+	0.886936i	−0.570708	+	0.821153i	$0.693331\pi$
$488$	−29.5833	+	5.63614i	−1.33917	+	0.255136i
$489$	−15.9310	−	19.9769i	−0.720425	−	0.903384i
$490$	−21.7549	−	19.1825i	−0.982784	−	0.866577i
$491$	−3.58465	+	1.25432i	−0.161773	+	0.0566068i	−0.409951	−	0.912108i	$-0.634454\pi$
$491$	−3.58465	+	1.25432i	−0.161773	+	0.0566068i	0.248178	+	0.968715i	$0.420168\pi$
$492$	−0.176438	+	1.77833i	−0.00795444	+	0.0801735i
$493$	−24.9292	−	6.84422i	−1.12275	−	0.308248i
$494$	19.0202	−	17.2265i	0.855760	−	0.775057i
$495$	0.612092	+	1.74926i	0.0275115	+	0.0786233i
$496$	−8.78405	−	0.753612i	−0.394415	−	0.0338382i
$497$	−43.7070	+	34.8551i	−1.96053	+	1.56347i
$498$	−8.38375	+	2.47585i	−0.375685	+	0.110945i
$499$	15.8334	−	7.62495i	0.708799	−	0.341340i	−0.0445078	−	0.999009i	$-0.514172\pi$
$499$	15.8334	−	7.62495i	0.708799	−	0.341340i	0.753307	+	0.657670i	$0.228458\pi$
$500$	17.2708	+	16.8171i	0.772375	+	0.752086i
$501$	−12.5337	+	19.9473i	−0.559966	+	0.891181i
$502$	−18.1936	+	26.0064i	−0.812020	+	1.16072i
$503$	17.6820	+	1.99229i	0.788404	+	0.0888318i	0.496980	−	0.867762i	$-0.334442\pi$
$503$	17.6820	+	1.99229i	0.788404	+	0.0888318i	0.291424	+	0.956594i	$0.405871\pi$
$504$	3.51603	−	8.99205i	0.156616	−	0.400538i
$505$	−0.906792	−	0.906792i	−0.0403517	−	0.0403517i
$506$	−4.72743	−	8.42081i	−0.210160	−	0.374351i
$507$	−32.0840	−	11.2267i	−1.42490	−	0.498594i
$508$	26.1457	+	12.1652i	1.16003	+	0.539742i
$509$	−6.16818	+	27.0246i	−0.273400	+	1.19784i	0.632571	+	0.774503i	$0.282000\pi$
$509$	−6.16818	+	27.0246i	−0.273400	+	1.19784i	−0.905971	+	0.423341i	$0.860857\pi$
$510$	0.838501	−	16.9441i	0.0371294	−	0.750299i
$511$	−27.3677	−	43.5555i	−1.21068	−	1.92678i
$512$	5.11856	+	22.0409i	0.226211	+	0.974078i
$513$	−3.80021	−	16.6498i	−0.167783	−	0.735107i
$514$	−2.45012	−	13.8612i	−0.108070	−	0.611393i
$515$	−13.0477	+	16.3613i	−0.574950	+	0.720964i
$516$	−0.280989	−	0.769994i	−0.0123698	−	0.0338971i
$517$	2.24804	+	1.08260i	0.0988686	+	0.0476126i
$518$	−22.8564	−	3.72715i	−1.00425	−	0.163762i
$519$	−2.54138	−	22.5554i	−0.111554	−	0.990072i
$520$	23.4643	+	15.9543i	1.02898	+	0.699644i
$521$			22.6675i			0.993080i	0.868014	+	0.496540i	$0.165396\pi$
$521$			22.6675i			0.993080i	−0.868014	+	0.496540i	$0.834604\pi$
$522$	−1.42983	−	5.75283i	−0.0625821	−	0.251795i
$523$		−	29.6457i		−	1.29631i	−0.761506	−	0.648157i	$-0.775540\pi$
$523$		−	29.6457i		−	1.29631i	0.761506	−	0.648157i	$-0.224460\pi$
$524$	−13.3479	+	3.23404i	−0.583106	+	0.141280i
$525$	1.60228	+	14.2206i	0.0699291	+	0.620638i
$526$	2.65103	−	16.2572i	0.115591	−	0.708847i
$527$	9.53291	+	4.59081i	0.415260	+	0.199979i
$528$	−2.10314	−	8.20180i	−0.0915273	−	0.356937i
$529$	−0.0744589	+	0.0933685i	−0.00323734	+	0.00405950i
$530$	2.30358	−	0.407183i	0.100061	−	0.0176869i
$531$	1.15328	+	5.05284i	0.0500480	+	0.219275i
$532$	−26.0077	−	5.57303i	−1.12758	−	0.241622i
$533$	1.90847	+	3.03731i	0.0826649	+	0.131560i
$534$	25.7435	+	1.27395i	1.11403	+	0.0551291i
$535$	−1.32934	+	5.82421i	−0.0574723	+	0.251803i
$536$	−29.9688	+	9.28560i	−1.29446	+	0.401077i
$537$	−2.55224	−	0.893066i	−0.110137	−	0.0385387i
$538$	10.3530	−	5.81216i	0.446349	−	0.250580i
$539$	12.2846	+	12.2846i	0.529135	+	0.529135i
$540$	16.9028	−	8.41890i	0.727383	−	0.362292i
$541$	8.14713	+	0.917962i	0.350273	+	0.0394662i	0.285348	−	0.958424i	$-0.407891\pi$
$541$	8.14713	+	0.917962i	0.350273	+	0.0394662i	0.0649245	+	0.997890i	$0.479319\pi$
$542$	−6.34095	−	4.43601i	−0.272367	−	0.190543i
$543$	−4.56750	+	7.26913i	−0.196010	+	0.311948i
$544$	3.65571	−	26.9087i	0.156737	−	1.15370i
$545$	4.69490	−	2.26094i	0.201107	−	0.0968482i
$546$	15.6667	+	53.0507i	0.670472	+	2.27036i
$547$	−12.0312	+	9.59455i	−0.514417	+	0.410233i	−0.845992	−	0.533195i	$-0.820991\pi$
$547$	−12.0312	+	9.59455i	−0.514417	+	0.410233i	0.331576	+	0.943429i	$0.392420\pi$
$548$	−0.421144	−	31.6440i	−0.0179904	−	1.35176i
$549$	2.73721	+	7.82250i	0.116821	+	0.333856i
$550$	−2.95165	−	3.25899i	−0.125859	−	0.138964i
$551$	−15.0076	+	6.43827i	−0.639347	+	0.274280i
$552$	−16.2946	+	12.0578i	−0.693544	+	0.513212i
$553$	31.1679	−	10.9061i	1.32540	−	0.463776i
$554$	1.42001	−	1.61044i	0.0603306	−	0.0684209i
$555$	−5.81759	−	7.29503i	−0.246943	−	0.309657i
$556$	4.21611	−	6.91242i	0.178803	−	0.293152i
$557$	−7.73502	−	16.0619i	−0.327743	−	0.680566i	0.670366	−	0.742031i	$-0.266137\pi$
$557$	−7.73502	−	16.0619i	−0.327743	−	0.680566i	−0.998109	+	0.0614649i	$0.980423\pi$
$558$	0.152153	+	2.42142i	0.00644116	+	0.102507i
$559$	−1.39310	−	0.875344i	−0.0589220	−	0.0370231i
$560$	−0.782685	−	29.3996i	−0.0330745	−	1.24236i
$561$	−1.13775	+	10.0978i	−0.0480358	+	0.426329i
$562$	−1.26465	+	4.50208i	−0.0533458	+	0.189909i
$563$	−3.10532	+	3.10532i	−0.130874	+	0.130874i	−0.769509	−	0.638636i	$-0.779499\pi$
$563$	−3.10532	+	3.10532i	−0.130874	+	0.130874i	0.638636	+	0.769509i	$0.279499\pi$
$564$	1.66388	−	4.96611i	0.0700618	−	0.209111i
$565$	0.449299	−	1.28402i	0.0189021	−	0.0540192i
$566$	12.5420	−	5.29312i	0.527181	−	0.222486i
$567$	25.9060	+	5.91289i	1.08795	+	0.248318i
$568$	−35.6585	−	5.32863i	−1.49620	−	0.223584i
$569$	−8.36896	+	5.25856i	−0.350845	+	0.220450i	−0.695911	−	0.718128i	$-0.744999\pi$
$569$	−8.36896	+	5.25856i	−0.350845	+	0.220450i	0.345066	+	0.938578i	$0.387856\pi$
$570$	−6.25943	−	8.69861i	−0.262179	−	0.364345i
$571$	−8.70366	+	1.98655i	−0.364237	+	0.0831347i	−0.400722	−	0.916200i	$-0.631241\pi$
$571$	−8.70366	+	1.98655i	−0.364237	+	0.0831347i	0.0364856	+	0.999334i	$0.488384\pi$
$572$	−13.4278	−	10.4190i	−0.561443	−	0.435640i
$573$	10.1940	+	8.12943i	0.425860	+	0.339612i
$574$	1.39994	−	3.44441i	0.0584324	−	0.143767i
$575$	−4.56729	+	9.48407i	−0.190469	+	0.395513i
$576$	5.79072	−	2.28958i	0.241280	−	0.0953990i
$577$	2.07081	−	0.233324i	0.0862089	−	0.00971341i	−0.0687546	−	0.997634i	$-0.521903\pi$
$577$	2.07081	−	0.233324i	0.0862089	−	0.00971341i	0.154964	+	0.987920i	$0.450474\pi$
$578$	−4.08542	+	7.50962i	−0.169931	+	0.312359i
$579$	3.91729			0.162797
$580$	−10.8262	−	14.4512i	−0.449535	−	0.600055i
$581$	18.1873			0.754536
$582$	2.71663	−	4.99357i	0.112608	−	0.206990i
$583$	−1.39239	+	0.156884i	−0.0576668	+	0.00649749i
$584$	8.54609	−	32.0562i	0.353640	−	1.32650i
$585$	3.38798	−	7.03521i	0.140076	−	0.290870i
$586$	1.84866	−	4.54844i	0.0763676	−	0.187894i
$587$	−2.49513	−	1.98980i	−0.102985	−	0.0821280i	0.570643	−	0.821198i	$-0.306694\pi$
$587$	−2.49513	−	1.98980i	−0.102985	−	0.0821280i	−0.673629	+	0.739070i	$0.735265\pi$
$588$	22.3554	−	28.8112i	0.921923	−	1.18815i
$589$	6.51623	−	1.48729i	0.268496	−	0.0612826i
$590$	9.22107	+	12.8143i	0.379625	+	0.527558i
$591$	15.9872	−	10.0454i	0.657626	−	0.413214i
$592$	−8.28004	−	12.4305i	−0.340308	−	0.510891i
$593$	−25.4169	−	5.80125i	−1.04375	−	0.238229i	−0.333918	−	0.942602i	$-0.608371\pi$
$593$	−25.4169	−	5.80125i	−1.04375	−	0.238229i	−0.709830	+	0.704373i	$0.751228\pi$
$594$	−10.4209	+	4.39792i	−0.427573	+	0.180449i
$595$	−11.6575	+	33.3152i	−0.477910	+	1.36579i
$596$	34.9836	+	11.7211i	1.43298	+	0.480115i
$597$	1.78466	−	1.78466i	0.0730414	−	0.0730414i
$598$	−11.0037	+	39.1728i	−0.449976	+	1.60189i
$599$	−1.74749	+	15.5094i	−0.0714004	+	0.633696i	0.906144	+	0.422969i	$0.139012\pi$
$599$	−1.74749	+	15.5094i	−0.0714004	+	0.633696i	−0.977545	+	0.210728i	$0.932417\pi$
$600$	−6.01145	+	7.00329i	−0.245416	+	0.285908i
$601$	19.1883	+	12.0568i	0.782709	+	0.491809i	0.863148	−	0.504951i	$-0.168489\pi$
$601$	19.1883	+	12.0568i	0.782709	+	0.491809i	−0.0804392	+	0.996760i	$0.525632\pi$
$602$	0.106946	+	1.70197i	0.00435878	+	0.0693671i
$603$	3.74617	+	7.77901i	0.152556	+	0.316786i
$604$	−32.7363	−	19.9669i	−1.33202	−	0.812442i
$605$	9.39002	+	11.7747i	0.381759	+	0.478710i
$606$	1.06637	−	1.20937i	0.0433183	−	0.0491273i
$607$	15.3419	−	5.36835i	0.622707	−	0.217895i	−0.000439157	−	1.00000i	$-0.500140\pi$
$607$	15.3419	−	5.36835i	0.622707	−	0.217895i	0.623146	+	0.782105i	$0.285854\pi$
$608$	−8.79266	−	14.7295i	−0.356589	−	0.597359i
$609$	1.53237	−	35.1680i	0.0620949	−	1.42508i
$610$	16.9466	+	18.7111i	0.686146	+	0.757591i
$611$	−3.47221	−	9.92302i	−0.140471	−	0.401442i
$612$	−7.47247	+	0.0994497i	−0.302057	+	0.00402001i
$613$	−1.34956	+	1.07624i	−0.0545083	+	0.0434689i	−0.650365	−	0.759622i	$-0.725384\pi$
$613$	−1.34956	+	1.07624i	−0.0545083	+	0.0434689i	0.595857	+	0.803091i	$0.296813\pi$
$614$	1.55691	+	5.27201i	0.0628316	+	0.212761i
$615$	1.34968	−	0.649972i	0.0544243	−	0.0262094i
$616$	−0.636470	+	17.6046i	−0.0256441	+	0.709310i
$617$	5.78656	−	9.20926i	0.232958	−	0.370751i	−0.709704	−	0.704500i	$-0.751171\pi$
$617$	5.78656	−	9.20926i	0.232958	−	0.370751i	0.942662	+	0.333749i	$0.108314\pi$
$618$	−21.5594	−	15.0826i	−0.867248	−	0.606710i
$619$	−29.2181	−	3.29209i	−1.17437	−	0.132320i	−0.496860	−	0.867831i	$-0.665514\pi$
$619$	−29.2181	−	3.29209i	−1.17437	−	0.132320i	−0.677513	+	0.735510i	$0.736942\pi$
$620$	3.29490	+	6.61525i	0.132326	+	0.265675i
$621$	19.1476	+	19.1476i	0.768366	+	0.768366i
$622$	−30.7046	+	17.2375i	−1.23114	+	0.691161i
$623$	−50.6162	−	17.7114i	−2.02790	−	0.709592i
$624$	−18.1698	+	30.7017i	−0.727376	+	1.22905i
$625$	2.06074	−	9.02868i	0.0824295	−	0.361147i
$626$	17.1853	+	0.850434i	0.686862	+	0.0339902i
$627$	3.41517	+	5.43521i	0.136389	+	0.217061i
$628$	5.84465	−	27.2753i	0.233227	−	1.08840i
$629$	3.98866	+	17.4754i	0.159038	+	0.696792i
$630$	−7.96990	+	1.40877i	−0.317528	+	0.0561266i
$631$	8.19834	−	10.2804i	0.326371	−	0.409256i	−0.591393	−	0.806384i	$-0.701422\pi$
$631$	8.19834	−	10.2804i	0.326371	−	0.409256i	0.917763	+	0.397128i	$0.129993\pi$
$632$	18.8412	+	9.92747i	0.749463	+	0.394894i
$633$	−7.27465	−	3.50329i	−0.289141	−	0.139243i
$634$	0.110454	−	0.677350i	0.00438671	−	0.0269010i
$635$	−2.70654	−	24.0212i	−0.107406	−	0.953253i
$636$	0.692580	+	2.85850i	0.0274626	+	0.113347i
$637$		−	73.1995i		−	2.90027i
$638$	5.92914	+	9.04571i	0.234737	+	0.358123i
$639$			9.92195i			0.392506i
$640$	13.5393	−	13.2839i	0.535188	−	0.525092i
$641$	−4.36781	−	38.7654i	−0.172518	−	1.53114i	−0.719794	−	0.694188i	$-0.755764\pi$
$641$	−4.36781	−	38.7654i	−0.172518	−	1.53114i	0.547275	−	0.836953i	$-0.315665\pi$
$642$	−7.41321	−	1.20886i	−0.292576	−	0.0477099i
$643$	−35.7360	−	17.2096i	−1.40929	−	0.678679i	−0.434268	−	0.900784i	$-0.642993\pi$
$643$	−35.7360	−	17.2096i	−1.40929	−	0.678679i	−0.975023	+	0.222105i	$0.928707\pi$
$644$	39.6183	−	14.4576i	1.56118	−	0.569710i
$645$	−0.428395	+	0.537190i	−0.0168680	+	0.0211519i
$646$	3.58349	+	20.2731i	0.140990	+	0.797634i
$647$	−2.82032	−	12.3566i	−0.110878	−	0.485789i	−0.999625	−	0.0273905i	$-0.991280\pi$
$647$	−2.82032	−	12.3566i	−0.110878	−	0.485789i	0.888747	−	0.458399i	$-0.151577\pi$
$648$	8.58751	+	14.8308i	0.337349	+	0.582607i
$649$	−5.03105	−	8.00686i	−0.197486	−	0.314297i
$650$	−0.915667	+	18.5035i	−0.0359154	+	0.725766i
$651$	−3.20596	+	14.0462i	−0.125652	+	0.550515i
$652$	−14.4634	+	31.0852i	−0.566432	+	1.21739i
$653$	−5.34567	−	1.87053i	−0.209192	−	0.0731995i	0.223649	−	0.974670i	$-0.428203\pi$
$653$	−5.34567	−	1.87053i	−0.209192	−	0.0731995i	−0.432841	+	0.901470i	$0.642489\pi$
$654$	3.20729	+	5.71302i	0.125415	+	0.223397i
$655$	8.14078	+	8.14078i	0.318087	+	0.318087i
$656$	2.24148	−	0.851936i	0.0875149	−	0.0332625i
$657$	−9.07238	−	1.02221i	−0.353947	−	0.0398803i
$658$	−6.24629	+	8.92862i	−0.243506	+	0.348074i
$659$	14.1768	−	22.5622i	0.552249	−	0.878899i	−0.447634	−	0.894217i	$-0.647733\pi$
$659$	14.1768	−	22.5622i	0.552249	−	0.878899i	0.999883	+	0.0153181i	$0.00487610\pi$
$660$	−4.95160	+	5.08518i	−0.192741	+	0.197940i
$661$	−19.8233	+	9.54642i	−0.771039	+	0.371313i	−0.777676	−	0.628665i	$-0.783602\pi$
$661$	−19.8233	+	9.54642i	−0.771039	+	0.371313i	0.00663719	+	0.999978i	$0.497887\pi$
$662$	37.8414	−	11.1751i	1.47075	−	0.434334i
$663$	33.4743	−	26.6948i	1.30003	−	1.03674i
$664$	7.98911	+	8.58845i	0.310038	+	0.333296i
$665$	7.36398	+	21.0450i	0.285563	+	0.816092i
$666$	−3.04647	+	2.75917i	−0.118048	+	0.106916i
$667$	14.7174	−	21.3040i	0.569861	−	0.824895i
$668$	31.4564	+	3.12096i	1.21709	+	0.120754i
$669$	−37.8535	+	13.2455i	−1.46350	+	0.512101i
$670$	19.7266	+	17.3941i	0.762104	+	0.671991i
$671$	−9.42788	−	11.8222i	−0.363959	−	0.456390i
$672$	36.8297	−	3.30026i	1.42074	−	0.127310i
$673$	20.7793	+	43.1486i	0.800981	+	1.66325i	0.747104	+	0.664707i	$0.231444\pi$
$673$	20.7793	+	43.1486i	0.800981	+	1.66325i	0.0538774	+	0.998548i	$0.482842\pi$
$674$	3.05234	−	0.191798i	0.117572	−	0.00738779i
$675$	10.4395	+	6.55956i	0.401816	+	0.252478i
$676$	5.70944	+	45.2516i	0.219594	+	1.74045i
$677$	1.78083	−	15.8053i	0.0684430	−	0.607448i	−0.911937	−	0.410331i	$-0.865413\pi$
$677$	1.78083	−	15.8053i	0.0684430	−	0.607448i	0.980380	−	0.197118i	$-0.0631581\pi$
$678$	1.64666	+	0.462550i	0.0632395	+	0.0177641i
$679$	−8.36306	+	8.36306i	−0.320945	+	0.320945i
$680$	−20.8529	+	9.12938i	−0.799673	+	0.350096i
$681$	2.37312	−	6.78199i	0.0909382	−	0.259887i
$682$	−1.72121	−	4.07840i	−0.0659086	−	0.156170i
$683$	26.7363	+	6.10238i	1.02303	+	0.233501i	0.700950	−	0.713210i	$-0.252759\pi$
$683$	26.7363	+	6.10238i	1.02303	+	0.233501i	0.322084	+	0.946711i	$0.395617\pi$
$684$	−3.65133	+	2.99219i	−0.139612	+	0.114409i
$685$	−22.4622	+	14.1139i	−0.858237	+	0.539266i
$686$	−26.3443	+	18.9571i	−1.00583	+	0.723784i
$687$	−37.5304	+	8.56608i	−1.43188	+	0.326816i
$688$	−0.756730	+	0.798124i	−0.0288501	+	0.0304282i
$689$	4.61578	+	3.68096i	0.175847	+	0.140233i
$690$	15.7417	+	6.39804i	0.599276	+	0.243569i
$691$	−10.1880	+	21.1555i	−0.387568	+	0.804794i	0.612331	+	0.790601i	$0.290232\pi$
$691$	−10.1880	+	21.1555i	−0.387568	+	0.804794i	−0.999899	+	0.0141922i	$0.995482\pi$
$692$	−25.5706	+	16.5457i	−0.972047	+	0.628974i
$693$	4.81737	−	0.542787i	0.182997	−	0.0206188i
$694$	−21.4652	−	11.6776i	−0.814809	−	0.443277i
$695$	−6.78720			−0.257453
$696$	17.2802	−	14.7246i	0.655005	−	0.558133i
$697$	−2.87781			−0.109005
$698$	2.61516	+	1.42271i	0.0989853	+	0.0538505i
$699$	3.03124	−	0.341538i	0.114652	−	0.0129182i
$700$	16.1216	−	10.4316i	0.609338	−	0.394279i
$701$	10.3277	−	21.4457i	0.390073	−	0.809994i	−0.609775	−	0.792574i	$-0.708740\pi$
$701$	10.3277	−	21.4457i	0.390073	−	0.809994i	0.999848	−	0.0174202i	$-0.00554532\pi$
$702$	44.1499	+	17.9442i	1.66633	+	0.677261i
$703$	8.85272	+	7.05981i	0.333887	+	0.266266i
$704$	−8.59287	+	7.43260i	−0.323856	+	0.280127i
$705$	−4.28028	+	0.976946i	−0.161205	+	0.0367939i
$706$	−27.8808	+	20.0627i	−1.04931	+	0.755071i
$707$	−2.84039	+	1.78474i	−0.106824	+	0.0671219i
$708$	−15.3528	+	12.5813i	−0.576992	+	0.472833i
$709$	−2.76106	−	0.630195i	−0.103694	−	0.0236675i	0.170359	−	0.985382i	$-0.445507\pi$
$709$	−2.76106	−	0.630195i	−0.103694	−	0.0236675i	−0.274053	+	0.961715i	$0.588364\pi$
$710$	11.7514	+	27.8449i	0.441023	+	1.04500i
$711$	1.93567	−	5.53182i	0.0725932	−	0.207459i
$712$	−13.8704	−	31.6822i	−0.519815	−	1.18734i
$713$	−7.49377	+	7.49377i	−0.280644	+	0.280644i
$714$	−42.7240	−	12.0013i	−1.59891	−	0.449137i
$715$	−1.59516	+	14.1575i	−0.0596557	+	0.529459i
$716$	0.454178	+	3.59970i	0.0169734	+	0.134527i
$717$	−36.8206	−	23.1359i	−1.37509	−	0.864026i
$718$	45.0314	−	2.82961i	1.68056	−	0.105600i
$719$	8.67862	+	18.0213i	0.323658	+	0.672083i	0.997784	−	0.0665335i	$-0.0211939\pi$
$719$	8.67862	+	18.0213i	0.323658	+	0.672083i	−0.674126	+	0.738616i	$0.735480\pi$
$720$	−4.16618	−	3.14474i	−0.155264	−	0.117197i
$721$	34.1309	+	42.7987i	1.27110	+	1.59391i
$722$	−10.3997	−	9.16997i	−0.387035	−	0.341271i
$723$	17.1727	−	6.00900i	0.638661	−	0.223477i
$724$	11.4632	+	1.13733i	0.426028	+	0.0422685i
$725$	4.37455	−	10.9479i	0.162467	−	0.406594i
$726$	−14.0349	+	12.7113i	−0.520883	+	0.471761i
$727$	−10.6140	−	30.3331i	−0.393651	−	1.12499i	−0.954793	−	0.297271i	$-0.903923\pi$
$727$	−10.6140	−	30.3331i	−0.393651	−	1.12499i	0.561142	−	0.827720i	$-0.310362\pi$
$728$	54.3460	−	50.5535i	2.01420	−	1.87364i
$729$	23.3757	−	18.6415i	0.865765	−	0.690425i
$730$	−26.6714	+	7.87647i	−0.987152	+	0.291521i
$731$	1.18923	−	0.572704i	0.0439854	−	0.0211822i
$732$	−22.1431	+	22.7404i	−0.818431	+	0.840510i
$733$	25.6092	−	40.7569i	0.945899	−	1.50539i	0.0851446	−	0.996369i	$-0.472865\pi$
$733$	25.6092	−	40.7569i	0.945899	−	1.50539i	0.860754	−	0.509021i	$-0.169992\pi$
$734$	11.5802	−	16.5530i	0.427431	−	0.610982i
$735$	−30.3768	−	3.42265i	−1.12047	−	0.126246i
$736$	24.2303	+	12.3578i	0.893139	+	0.455516i
$737$	−11.1393	−	11.1393i	−0.410320	−	0.410320i
$738$	−0.323038	−	0.575416i	−0.0118912	−	0.0211814i
$739$	22.6630	+	7.93014i	0.833674	+	0.291715i	0.713164	−	0.700997i	$-0.247261\pi$
$739$	22.6630	+	7.93014i	0.833674	+	0.291715i	0.120510	+	0.992712i	$0.461547\pi$
$740$	−5.28167	+	11.3515i	−0.194158	+	0.417290i
$741$	6.01834	−	26.3681i	0.221089	−	0.968655i
$742$	0.302448	−	6.11176i	0.0111032	−	0.224370i
$743$	8.49308	+	13.5167i	0.311581	+	0.495878i	0.965400	−	0.260772i	$-0.0839772\pi$
$743$	8.49308	+	13.5167i	0.311581	+	0.495878i	−0.653819	+	0.756651i	$0.726834\pi$
$744$	−8.04122	+	4.65614i	−0.294805	+	0.170702i
$745$	−6.88205	−	30.1522i	−0.252139	−	1.10469i
$746$	6.31608	+	35.7323i	0.231248	+	1.30825i
$747$	2.01260	−	2.52372i	0.0736372	−	0.0923381i
$748$	12.8089	−	4.67427i	0.468340	−	0.170908i
$749$	14.0795	+	6.78034i	0.514455	+	0.247748i
$750$	25.0754	+	4.08900i	0.915622	+	0.149309i
$751$	1.24436	+	11.0440i	0.0454072	+	0.403000i	0.995772	+	0.0918614i	$0.0292817\pi$
$751$	1.24436	+	11.0440i	0.0454072	+	0.403000i	−0.950365	+	0.311138i	$0.899290\pi$
$752$	−6.96009	+	0.972424i	−0.253808	+	0.0354607i
$753$			33.4510i			1.21902i
$754$	9.28525	−	44.6148i	0.338149	−	1.62478i
$755$			32.1432i			1.16981i
$756$	−11.6316	−	48.0073i	−0.423037	−	1.74601i
$757$	0.983189	+	8.72604i	0.0357346	+	0.317153i	0.998845	+	0.0480470i	$0.0152997\pi$
$757$	0.983189	+	8.72604i	0.0357346	+	0.317153i	−0.963110	+	0.269106i	$0.913272\pi$
$758$	−5.69870	+	34.9467i	−0.206986	+	1.26932i
$759$	−9.17013	−	4.41610i	−0.332855	−	0.160294i
$760$	−6.70317	+	12.7219i	−0.243150	+	0.461470i
$761$	15.4208	−	19.3371i	0.559003	−	0.700968i	−0.419370	−	0.907815i	$-0.637749\pi$
$761$	15.4208	−	19.3371i	0.559003	−	0.700968i	0.978373	+	0.206848i	$0.0663204\pi$
$762$	29.9291	−	5.29030i	1.08422	−	0.191647i
$763$	−3.03320	−	13.2893i	−0.109809	−	0.481105i
$764$	3.66577	−	17.1071i	0.132623	−	0.618912i
$765$	3.33289	+	5.30426i	0.120501	+	0.191776i
$766$	−15.1008	−	0.747279i	−0.545612	−	0.0270003i
$767$	−8.86591	+	38.8441i	−0.320129	+	1.40258i
$768$	17.7366	+	15.9421i	0.640015	+	0.575262i
$769$	24.8852	+	8.70770i	0.897382	+	0.314008i	0.739266	−	0.673413i	$-0.235172\pi$
$769$	24.8852	+	8.70770i	0.897382	+	0.314008i	0.158116	+	0.987421i	$0.449458\pi$
$770$	12.8766	−	7.22889i	0.464039	−	0.260511i
$771$	−10.4903	−	10.4903i	−0.377800	−	0.377800i
$772$	−2.34344	−	4.70498i	−0.0843421	−	0.169336i
$773$	4.64600	+	0.523478i	0.167105	+	0.0188282i	0.195120	−	0.980779i	$-0.437490\pi$
$773$	4.64600	+	0.523478i	0.167105	+	0.0188282i	−0.0280155	+	0.999607i	$0.508919\pi$
$774$	0.248004	+	0.173499i	0.00891434	+	0.00623630i
$775$	−2.56721	+	4.08569i	−0.0922169	+	0.146762i
$776$	−7.62285	−	0.275593i	−0.273644	−	0.00989322i
$777$	−21.9906	+	10.5901i	−0.788909	+	0.379918i
$778$	−8.17183	−	27.6715i	−0.292974	−	0.992073i
$779$	−1.42129	+	1.13344i	−0.0509232	+	0.0406099i
$780$	29.9028	−	0.397970i	1.07069	−	0.0142496i
$781$	−5.97909	−	17.0873i	−0.213949	−	0.611431i
$782$	−21.9131	−	24.1948i	−0.783612	−	0.865206i
$783$	−22.8655	−	19.9233i	−0.817147	−	0.711999i
$784$	−47.9783	−	9.61501i	−1.71351	−	0.343393i
$785$	−22.0707	+	7.72288i	−0.787738	+	0.275642i
$786$	−9.57340	+	10.8572i	−0.341472	+	0.387263i
$787$	10.8405	+	13.5935i	0.386421	+	0.484557i	0.936555	−	0.350520i	$-0.113995\pi$
$787$	10.8405	+	13.5935i	0.386421	+	0.484557i	−0.550134	+	0.835076i	$0.685424\pi$
$788$	−21.6294	−	13.1925i	−0.770516	−	0.469963i
$789$	−7.53250	−	15.6414i	−0.268164	−	0.556848i
$790$	−1.11956	−	17.8170i	−0.0398321	−	0.633902i
$791$	−3.01307	−	1.89324i	−0.107133	−	0.0673158i
$792$	2.37243	+	2.03644i	0.0843007	+	0.0723617i
$793$	−7.13340	+	63.3107i	−0.253315	+	2.24823i
$794$	9.56279	−	34.0431i	0.339371	−	1.20814i
$795$	1.74337	−	1.74337i	0.0618311	−	0.0618311i
$796$	−3.21117	−	1.07589i	−0.113817	−	0.0381339i
$797$	−0.703757	+	2.01122i	−0.0249284	+	0.0712412i	−0.955675	−	0.294423i	$-0.904872\pi$
$797$	−0.703757	+	2.01122i	−0.0249284	+	0.0712412i	0.930747	+	0.365664i	$0.119158\pi$
$798$	−25.8273	+	10.8999i	−0.914277	+	0.385853i
$799$	8.22269	+	1.87678i	0.290898	+	0.0663955i
$800$	12.0078	+	3.03067i	0.424538	+	0.107150i
$801$	−8.05885	+	5.06371i	−0.284745	+	0.178917i
$802$	28.4757	+	39.5721i	1.00551	+	1.39734i
$803$	16.2402	−	3.70671i	0.573103	−	0.130807i
$804$	−20.2712	+	26.1250i	−0.714909	+	0.921358i
$805$	−27.6399	−	22.0421i	−0.974178	−	0.776881i
$806$	−7.02282	+	17.2789i	−0.247368	+	0.608623i
$807$	5.42939	−	11.2742i	0.191124	−	0.396872i
$808$	−2.09049	−	0.557317i	−0.0735431	−	0.0196064i
$809$	25.4385	−	2.86623i	0.894371	−	0.100771i	0.347199	−	0.937791i	$-0.387133\pi$
$809$	25.4385	−	2.86623i	0.894371	−	0.100771i	0.547172	+	0.837020i	$0.315704\pi$
$810$	6.86520	−	12.6193i	0.241218	−	0.443395i
$811$	25.2914			0.888100			0.444050	−	0.896002i	$-0.353541\pi$
$811$	25.2914			0.888100			0.444050	+	0.896002i	$0.353541\pi$
$812$	−43.1563	+	19.1980i	−1.51449	+	0.673719i
$813$	−8.15611			−0.286047
$814$	3.58382	−	6.58759i	0.125613	−	0.230895i
$815$	28.5594	−	3.21787i	1.00039	−	0.112717i
$816$	−13.1001	−	25.4470i	−0.458594	−	0.890824i
$817$	0.361775	−	0.751233i	0.0126569	−	0.0262823i
$818$	−15.5046	+	38.1474i	−0.542106	+	1.33379i
$819$	−15.9696	−	12.7353i	−0.558023	−	0.445008i
$820$	−1.58809	−	1.23224i	−0.0554584	−	0.0430318i
$821$	−4.25999	+	0.972314i	−0.148675	+	0.0339340i	−0.296210	−	0.955123i	$-0.595723\pi$
$821$	−4.25999	+	0.972314i	−0.148675	+	0.0339340i	0.147536	+	0.989057i	$0.452866\pi$
$822$	−19.4817	−	27.0734i	−0.679503	−	0.944293i
$823$	−21.7518	+	13.6676i	−0.758220	+	0.476421i	−0.854835	−	0.518901i	$-0.826341\pi$
$823$	−21.7518	+	13.6676i	−0.758220	+	0.476421i	0.0966144	+	0.995322i	$0.469199\pi$
$824$	−5.21790	+	34.9175i	−0.181774	+	1.21641i
$825$	−4.51800	−	1.03120i	−0.157297	−	0.0359019i
$826$	38.0475	−	16.0572i	1.32384	−	0.558702i
$827$	−0.217457	+	0.621456i	−0.00756172	+	0.0216101i	−0.947602	−	0.319452i	$-0.896501\pi$
$827$	−0.217457	+	0.621456i	−0.00756172	+	0.0216101i	0.940041	+	0.341062i	$0.110787\pi$
$828$	2.37796	−	7.09741i	0.0826398	−	0.246652i
$829$	−12.9635	+	12.9635i	−0.450241	+	0.450241i	−0.895434	−	0.445193i	$-0.853135\pi$
$829$	−12.9635	+	12.9635i	−0.450241	+	0.450241i	0.445193	+	0.895434i	$0.353135\pi$
$830$	2.65909	−	9.46625i	0.0922984	−	0.328578i
$831$	0.253366	−	2.24869i	0.00878919	−	0.0780062i
$832$	47.7450	+	3.45682i	1.65526	+	0.119844i
$833$	49.7240	+	31.2436i	1.72283	+	1.08253i
$834$	−0.535164	−	8.51679i	−0.0185312	−	0.294912i
$835$	−11.4972	−	23.8741i	−0.397875	−	0.826197i
$836$	4.48507	−	7.35340i	0.155120	−	0.254323i
$837$	7.73921	+	9.70466i	0.267506	+	0.335442i
$838$	8.92992	−	10.1274i	0.308479	−	0.349846i
$839$	−23.2943	+	8.15102i	−0.804208	+	0.281405i	−0.700914	−	0.713246i	$-0.747224\pi$
$839$	−23.2943	+	8.15102i	−0.804208	+	0.281405i	−0.103295	+	0.994651i	$0.532938\pi$
$840$	−18.4380	−	24.9167i	−0.636170	−	0.859706i
$841$	−14.8076	+	24.9346i	−0.510606	+	0.859815i
$842$	6.29079	+	6.94582i	0.216795	+	0.239369i
$843$	1.62782	+	4.65205i	0.0560652	+	0.160225i
$844$	0.144177	+	10.8332i	0.00496279	+	0.372895i
$845$	29.8921	−	23.8382i	1.02832	−	0.820059i
$846$	0.547748	+	1.85479i	0.0188319	+	0.0637690i
$847$	35.4945	−	17.0932i	1.21960	−	0.587331i
$848$	3.01897	−	2.54188i	0.103672	−	0.0872886i
$849$	7.63343	−	12.1485i	0.261979	−	0.416936i
$850$	−12.1785	−	8.51982i	−0.417718	−	0.292228i
$851$	−17.8409	−	2.01018i	−0.611577	−	0.0689082i
$852$	−34.0141	+	16.9416i	−1.16530	+	0.580409i
$853$	7.53476	+	7.53476i	0.257985	+	0.257985i	0.824234	−	0.566249i	$-0.191606\pi$
$853$	7.53476	+	7.53476i	0.257985	+	0.257985i	−0.566249	+	0.824234i	$0.691606\pi$
$854$	57.5827	−	32.3269i	1.97044	−	1.10620i
$855$	3.73516	+	1.30699i	0.127740	+	0.0446981i
$856$	2.98286	+	9.62705i	0.101952	+	0.329046i
$857$	1.92211	−	8.42132i	0.0656581	−	0.287667i	−0.931430	−	0.363919i	$-0.881438\pi$
$857$	1.92211	−	8.42132i	0.0656581	−	0.287667i	0.997089	+	0.0762524i	$0.0242955\pi$
$858$	−17.8910	−	0.885356i	−0.610788	−	0.0302256i
$859$	−6.72275	−	10.6992i	−0.229377	−	0.365052i	0.712128	−	0.702049i	$-0.247731\pi$
$859$	−6.72275	−	10.6992i	−0.229377	−	0.365052i	−0.941506	+	0.336998i	$0.890589\pi$
$860$	0.901488	+	0.193174i	0.0307405	+	0.00658719i
$861$	−0.871978	−	3.82038i	−0.0297169	−	0.130198i
$862$	13.2564	−	2.34322i	0.451516	−	0.0798103i
$863$	11.5074	−	14.4298i	0.391717	−	0.491197i	−0.546396	−	0.837527i	$-0.684001\pi$
$863$	11.5074	−	14.4298i	0.391717	−	0.491197i	0.938113	+	0.346330i	$0.112572\pi$
$864$	17.5607	−	26.5808i	0.597427	−	0.904297i
$865$	23.0024	+	11.0774i	0.782107	+	0.376643i
$866$	−1.72752	+	10.5938i	−0.0587034	+	0.359993i
$867$	1.00882	+	8.95357i	0.0342615	+	0.304079i
$868$	18.7886	−	4.55225i	0.637726	−	0.154514i
$869$			10.6932i			0.362741i
$870$	−18.0804	−	5.93935i	−0.612984	−	0.201363i
$871$			66.3748i			2.24902i
$872$	4.94312	−	7.26992i	0.167395	−	0.246190i
$873$	0.235028	+	2.08593i	0.00795450	+	0.0705982i
$874$	−20.3517	−	3.31872i	−0.688408	−	0.112258i
$875$	−47.6243	−	22.9347i	−1.60999	−	0.775333i
$876$	−11.9866	−	32.8470i	−0.404991	−	1.10980i
$877$	−16.2980	+	20.4371i	−0.550346	+	0.690112i	−0.976740	−	0.214426i	$-0.931212\pi$
$877$	−16.2980	+	20.4371i	−0.550346	+	0.690112i	0.426395	+	0.904537i	$0.359784\pi$
$878$	3.92502	+	22.2052i	0.132463	+	0.749391i
$879$	−1.15147	−	5.04493i	−0.0388382	−	0.170161i
$880$	9.06991	+	2.90517i	0.305747	+	0.0979334i
$881$	−7.59220	−	12.0829i	−0.255788	−	0.407084i	0.694002	−	0.719973i	$-0.255846\pi$
$881$	−7.59220	−	12.0829i	−0.255788	−	0.407084i	−0.949790	+	0.312889i	$0.898703\pi$
$882$	−0.665559	+	13.4494i	−0.0224105	+	0.452865i
$883$	7.44699	−	32.6274i	0.250611	−	1.09800i	−0.680352	−	0.732885i	$-0.738173\pi$
$883$	7.44699	−	32.6274i	0.250611	−	1.09800i	0.930963	−	0.365113i	$-0.118970\pi$
$884$	−52.0880	−	24.2357i	−1.75191	−	0.815134i
$885$	15.7052	+	5.49550i	0.527926	+	0.184729i
$886$	−26.9103	−	47.9343i	−0.904068	−	1.61038i
$887$	−12.5931	−	12.5931i	−0.422834	−	0.422834i	0.463344	−	0.886178i	$-0.346649\pi$
$887$	−12.5931	−	12.5931i	−0.422834	−	0.422834i	−0.886178	+	0.463344i	$0.846649\pi$
$888$	−14.6607	−	5.73255i	−0.491980	−	0.192372i
$889$	−62.8360	−	7.07992i	−2.10745	−	0.237453i
$890$	−16.6189	+	23.7556i	−0.557068	+	0.796288i
$891$	−4.57808	+	7.28597i	−0.153371	+	0.244089i
$892$	38.5540	+	37.5413i	1.29088	+	1.25697i
$893$	4.80020	−	2.31165i	0.160633	−	0.0773565i
$894$	37.2933	−	11.0133i	1.24727	−	0.368339i
$895$	2.37788	−	1.89630i	0.0794838	−	0.0633862i
$896$	−25.9965	−	42.2612i	−0.868483	−	1.41185i
$897$	14.1638	+	40.4777i	0.472914	+	1.35151i
$898$	4.17657	−	3.78269i	0.139374	−	0.126230i
$899$	7.79735	−	8.94886i	0.260056	−	0.298461i
$900$	0.336482	−	3.39143i	0.0112161	−	0.113048i
$901$	−4.47060	+	1.56433i	−0.148937	+	0.0521154i
$902$	0.903079	+	0.796297i	0.0300693	+	0.0265138i
$903$	1.12062	+	1.40521i	0.0372919	+	0.0467625i
$904$	−0.429519	−	2.25448i	−0.0142856	−	0.0749829i
$905$	−4.18975	−	8.70011i	−0.139272	−	0.289201i
$906$	−40.3343	+	2.53446i	−1.34002	+	0.0842019i
$907$	34.6551	+	21.7753i	1.15070	+	0.723035i	0.965689	−	0.259700i	$-0.0836237\pi$
$907$	34.6551	+	21.7753i	1.15070	+	0.723035i	0.185015	+	0.982736i	$0.440767\pi$
$908$	−9.56540	+	1.20688i	−0.317439	+	0.0400516i
$909$	−0.0666617	+	0.591639i	−0.00221103	+	0.0196234i
$910$	−59.9005	−	16.8262i	−1.98568	−	0.557783i
$911$	39.0184	−	39.0184i	1.29274	−	1.29274i	0.359651	−	0.933087i	$-0.382896\pi$
$911$	39.0184	−	39.0184i	1.29274	−	1.29274i	0.933087	−	0.359651i	$-0.117104\pi$
$912$	−16.4923	−	7.40824i	−0.546115	−	0.245311i
$913$	−1.94521	+	5.55909i	−0.0643770	+	0.183979i
$914$	−11.4143	−	27.0460i	−0.377550	−	0.894603i
$915$	25.9396	+	5.92054i	0.857536	+	0.195727i
$916$	32.7404	+	39.9527i	1.08177	+	1.32007i
$917$	25.4998	−	16.0226i	0.842077	−	0.529112i
$918$	−31.0338	+	22.3316i	−1.02427	+	0.737053i
$919$	2.85901	−	0.652551i	0.0943101	−	0.0215257i	−0.175105	−	0.984550i	$-0.556027\pi$
$919$	2.85901	−	0.652551i	0.0943101	−	0.0215257i	0.269416	+	0.963024i	$0.413169\pi$
$920$	−1.73258	−	22.7346i	−0.0571214	−	0.749536i
$921$	4.52968	+	3.61230i	0.149258	+	0.119029i
$922$	−13.8823	−	5.64231i	−0.457189	−	0.185819i
$923$	−33.0948	+	68.7220i	−1.08933	+	2.26201i
$924$	10.0863	+	15.5879i	0.331816	+	0.512805i
$925$	−8.12315	+	0.915259i	−0.267087	+	0.0300935i
$926$	11.5156	+	6.26477i	0.378425	+	0.205873i
$927$	9.71578			0.319108
$928$	−28.0230	−	11.9463i	−0.919899	−	0.392156i
$929$	−14.8149			−0.486061			−0.243031	−	0.970019i	$-0.578142\pi$
$929$	−14.8149			−0.486061			−0.243031	+	0.970019i	$0.578142\pi$
$930$	6.84215	+	3.72230i	0.224363	+	0.122059i
$931$	36.8631	−	4.15348i	1.20814	−	0.136125i
$932$	−2.22359	−	3.43645i	−0.0728362	−	0.112565i
$933$	−16.1023	+	33.4368i	−0.527166	+	1.09467i
$934$	−46.3587	−	18.8420i	−1.51690	−	0.616529i
$935$	−8.93621	−	7.12639i	−0.292245	−	0.233058i
$936$	−1.00104	−	13.1354i	−0.0327199	−	0.429345i
$937$	−41.8072	+	9.54223i	−1.36578	+	0.311731i	−0.841704	−	0.539939i	$-0.818447\pi$
$937$	−41.8072	+	9.54223i	−1.36578	+	0.311731i	−0.524079	+	0.851670i	$0.675590\pi$
$938$	55.8420	−	40.1833i	1.82331	−	1.31203i
$939$	15.3550	−	9.64821i	0.501093	−	0.314857i
$940$	3.73398	+	4.55653i	0.121789	+	0.148618i
$941$	−31.2468	−	7.13187i	−1.01862	−	0.232492i	−0.319565	−	0.947564i	$-0.603537\pi$
$941$	−31.2468	−	7.13187i	−1.01862	−	0.232492i	−0.699051	+	0.715072i	$0.746394\pi$
$942$	−11.4312	−	27.0861i	−0.372447	−	0.882512i
$943$	0.952015	−	2.72070i	0.0310019	−	0.0885982i
$944$	24.2956	+	10.9134i	0.790755	+	0.355202i
$945$	−29.2793	+	29.2793i	−0.952454	+	0.952454i
$946$	−0.531658	−	0.149344i	−0.0172857	−	0.00485559i
$947$	4.72820	−	41.9640i	0.153646	−	1.36365i	−0.646075	−	0.763274i	$-0.723591\pi$
$947$	4.72820	−	41.9640i	0.153646	−	1.36365i	0.799721	−	0.600372i	$-0.204981\pi$
$948$	22.2691	−	2.80971i	0.723266	−	0.0912552i
$949$	−59.4281	−	37.3411i	−1.92912	−	1.21214i
$950$	−9.37028	+	0.588795i	−0.304012	+	0.0191030i
$951$	−0.313839	−	0.651693i	−0.0101769	−	0.0211326i
$952$	11.1443	+	58.4946i	0.361188	+	1.89582i
$953$	−26.2501	−	32.9165i	−0.850323	−	1.06627i	−0.997024	−	0.0770903i	$-0.975437\pi$
$953$	−26.2501	−	32.9165i	−0.850323	−	1.06627i	0.146701	−	0.989181i	$-0.453134\pi$
$954$	−0.814616	−	0.718294i	−0.0263742	−	0.0232556i
$955$	−13.8428	+	4.84380i	−0.447942	+	0.156742i
$956$	−5.76095	+	58.0651i	−0.186323	+	1.87796i
$957$	10.5855	+	4.22975i	0.342180	+	0.136728i
$958$	−25.6483	+	23.2295i	−0.828659	+	0.750512i
$959$	22.9195	+	65.5001i	0.740109	+	2.11511i
$960$	3.66699	−	19.6519i	0.118351	−	0.634263i
$961$	20.4387	−	16.2993i	0.659312	−	0.525784i
$962$	−30.3039	+	8.94919i	−0.977036	+	0.288534i
$963$	2.49889	−	1.20340i	0.0805257	−	0.0387791i
$964$	−17.4905	−	17.0311i	−0.563332	−	0.548535i
$965$	−2.34421	+	3.73080i	−0.0754629	+	0.120099i
$966$	25.4797	−	36.4214i	0.819796	−	1.17184i
$967$	−9.52783	−	1.07353i	−0.306394	−	0.0345223i	−0.0425712	−	0.999093i	$-0.513555\pi$
$967$	−9.52783	−	1.07353i	−0.306394	−	0.0345223i	−0.263823	+	0.964571i	$0.584984\pi$
$968$	23.6634	+	9.25275i	0.760571	+	0.297395i
$969$	15.3429	+	15.3429i	0.492884	+	0.492884i
$970$	3.13013	+	5.57559i	0.100502	+	0.179021i
$971$	−45.5004	−	15.9213i	−1.46018	−	0.510938i	−0.520756	−	0.853705i	$-0.674350\pi$
$971$	−45.5004	−	15.9213i	−1.46018	−	0.510938i	−0.939420	+	0.342767i	$0.888636\pi$
$972$	−14.2600	−	6.63497i	−0.457391	−	0.212817i
$973$	−3.95071	+	17.3092i	−0.126654	+	0.554907i
$974$	1.51850	−	30.6853i	0.0486559	−	0.983221i
$975$	10.3883	+	16.5329i	0.332691	+	0.529475i
$976$	40.5597	+	12.9916i	1.29829	+	0.415852i
$977$	1.52936	+	6.70056i	0.0489285	+	0.214370i	0.993482	−	0.113987i	$-0.0363622\pi$
$977$	1.52936	+	6.70056i	0.0489285	+	0.214370i	−0.944554	+	0.328357i	$0.893505\pi$
$978$	6.28976	+	35.5835i	0.201124	+	1.13783i
$979$	10.8272	−	13.5769i	0.346040	−	0.433920i
$980$	14.0614	+	38.5326i	0.449176	+	1.23088i
$981$	−2.17971	−	1.04969i	−0.0695929	−	0.0335142i
$982$	5.30084	+	0.864399i	0.169156	+	0.0275841i
$983$	−4.13907	−	36.7353i	−0.132016	−	1.17167i	−0.868666	−	0.495399i	$-0.835022\pi$
$983$	−4.13907	−	36.7353i	−0.132016	−	1.17167i	0.736650	−	0.676274i	$-0.236407\pi$
$984$	1.42104	−	2.08994i	0.0453010	−	0.0666249i
$985$			21.2376i			0.676686i
$986$	26.3434	+	25.3503i	0.838944	+	0.807318i
$987$			11.4845i			0.365556i
$988$	−35.2706	+	8.54564i	−1.12211	+	0.271873i
$989$	0.148026	+	1.31376i	0.00470694	+	0.0417753i
$990$	0.421814	−	2.58673i	0.0134061	−	0.0822118i
$991$	47.4705	+	22.8606i	1.50795	+	0.726190i	0.991497	−	0.130126i	$-0.0415382\pi$
$991$	47.4705	+	22.8606i	1.50795	+	0.726190i	0.516452	+	0.856316i	$0.327252\pi$
$992$	10.4029	+	6.87272i	0.330293	+	0.218209i
$993$	25.9283	−	32.5131i	0.822811	−	1.03177i
$994$	77.8523	−	13.7612i	2.46933	−	0.436480i
$995$	0.631708	+	2.76770i	0.0200265	+	0.0877418i
$996$	12.0882	+	2.59030i	0.383029	+	0.0820770i
$997$	−1.40876	−	2.24203i	−0.0446158	−	0.0710057i	0.823672	−	0.567067i	$-0.191922\pi$
$997$	−1.40876	−	2.24203i	−0.0446158	−	0.0710057i	−0.868287	+	0.496061i	$0.834779\pi$
$998$	−24.8226	−	1.22838i	−0.785746	−	0.0388836i
$999$	−4.67927	+	20.5012i	−0.148046	+	0.648630i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	116.2.l.b.11.4	✓	144
4.3	odd	2	inner	116.2.l.b.11.6	yes	144
29.8	odd	28	inner	116.2.l.b.95.6	yes	144
116.95	even	28	inner	116.2.l.b.95.4	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
116.2.l.b.11.4	✓	144	1.1	even	1	trivial
116.2.l.b.11.6	yes	144	4.3	odd	2	inner
116.2.l.b.95.4	yes	144	116.95	even	28	inner
116.2.l.b.95.6	yes	144	29.8	odd	28	inner

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

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Newspace parameters

Newform invariants

Embedding invariants

$q$ -expansion

Character values

Coefficient data

Twists

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	116.2.l.b.11.4

Level	$116$
Weight	$2$
Character	116.11
Analytic conductor	$0.926$
Analytic rank	$0$
Dimension	$144$
Inner twists	$4$