LMFDB - Embedded newform 637.2.bz.a.4.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [637,2,Mod(4,637)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(637, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([10, 7]))

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

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

chi := DirichletCharacter("637.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 637 = 7^{2} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	637.bz (of order $42$, 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:	$5.08647060876$
Analytic rank:	$0$
Dimension:	$756$
Relative dimension:	$63$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			4.10
Character	$\chi$	$=$	637.4
Dual form			637.2.bz.a.478.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.938275 - 1.94835i) q^{2} +(1.73522 - 0.535243i) q^{3} +(-1.66872 + 2.09251i) q^{4} +(-0.694611 - 2.25187i) q^{5} +(-2.67095 - 2.87860i) q^{6} +(-0.169018 + 2.64035i) q^{7} +(1.42609 + 0.325495i) q^{8} +(0.245774 - 0.167566i) q^{9} +(-3.73570 + 3.46622i) q^{10} +(3.12154 - 4.57845i) q^{11} +(-1.77559 + 4.52413i) q^{12} +(-3.60468 - 0.0792810i) q^{13} +(5.30290 - 2.14807i) q^{14} +(-2.41060 - 3.53570i) q^{15} +(0.487235 + 2.13472i) q^{16} +(-4.04558 - 5.07300i) q^{17} +(-0.557080 - 0.321630i) q^{18} +(-5.11927 - 2.95561i) q^{19} +(5.87118 + 2.30427i) q^{20} +(1.11995 + 4.67204i) q^{21} +(-11.8493 - 1.78599i) q^{22} +(-2.23094 + 2.79752i) q^{23} +(2.64879 - 0.198499i) q^{24} +(-0.457252 + 0.311749i) q^{25} +(3.22771 + 7.09756i) q^{26} +(-3.05979 + 3.83685i) q^{27} +(-5.24291 - 4.75967i) q^{28} +(3.72687 - 0.561736i) q^{29} +(-4.62697 + 8.01415i) q^{30} +(-2.68747 - 1.55161i) q^{31} +(5.98928 - 4.77629i) q^{32} +(2.96595 - 9.61539i) q^{33} +(-6.08810 + 12.6421i) q^{34} +(6.06313 - 1.45341i) q^{35} +(-0.0594949 + 0.793905i) q^{36} +(6.10424 - 4.86797i) q^{37} +(-0.955279 + 12.7473i) q^{38} +(-6.29733 + 1.79181i) q^{39} +(-0.257602 - 3.43746i) q^{40} +(-4.27454 + 4.60686i) q^{41} +(8.05194 - 6.56570i) q^{42} +(-1.76691 + 1.63945i) q^{43} +(4.37148 + 14.1720i) q^{44} +(-0.548054 - 0.437059i) q^{45} +(7.54377 + 1.72182i) q^{46} +(4.56533 - 6.69610i) q^{47} +(1.98805 + 3.44340i) q^{48} +(-6.94287 - 0.892530i) q^{49} +(1.03643 + 0.598380i) q^{50} +(-9.73524 - 6.63738i) q^{51} +(6.18110 - 7.41053i) q^{52} +(-1.33033 - 3.38963i) q^{53} +(10.3464 + 2.36151i) q^{54} +(-12.4783 - 3.84906i) q^{55} +(-1.10045 + 3.71035i) q^{56} +(-10.4650 - 2.38857i) q^{57} +(-4.59129 - 6.73418i) q^{58} +(-0.684133 + 0.156149i) q^{59} +(11.4211 + 0.855894i) q^{60} +(13.6012 - 2.05004i) q^{61} +(-0.501493 + 6.69196i) q^{62} +(0.400892 + 0.677250i) q^{63} +(-10.9799 - 5.28765i) q^{64} +(2.32532 + 8.17235i) q^{65} +(-21.5170 + 3.24317i) q^{66} +(12.5123 - 7.22396i) q^{67} +17.3662 q^{68} +(-2.37382 + 6.04839i) q^{69} +(-8.52062 - 10.4494i) q^{70} +(0.0363139 - 0.240927i) q^{71} +(0.405037 - 0.158965i) q^{72} +(4.54953 + 6.67294i) q^{73} +(-15.2120 - 7.32570i) q^{74} +(-0.626570 + 0.785694i) q^{75} +(14.7273 - 5.78004i) q^{76} +(11.5611 + 9.01578i) q^{77} +(9.39970 + 10.5882i) q^{78} +(5.41989 + 9.38753i) q^{79} +(4.46867 - 2.57999i) q^{80} +(-3.58177 + 9.12619i) q^{81} +(12.9865 + 4.00580i) q^{82} +(-2.65968 + 5.52288i) q^{83} +(-11.6452 - 5.45283i) q^{84} +(-8.61364 + 12.6339i) q^{85} +(4.85207 + 1.90430i) q^{86} +(6.16626 - 2.96952i) q^{87} +(5.94185 - 5.51323i) q^{88} +(2.28286 - 4.74041i) q^{89} +(-0.337317 + 1.47788i) q^{90} +(0.818584 - 9.50421i) q^{91} +(-2.13101 - 9.33655i) q^{92} +(-5.49382 - 1.25393i) q^{93} +(-17.3299 - 2.61206i) q^{94} +(-3.09976 + 13.5810i) q^{95} +(7.83621 - 11.4936i) q^{96} +(8.89596 - 5.13608i) q^{97} +(4.77536 + 14.3646i) q^{98} -1.64833i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 756 q - 21 q^{2} - 5 q^{3} + 115 q^{4} - 15 q^{6} - 14 q^{7} + 50 q^{9} - 16 q^{10} - 24 q^{11} - 26 q^{12} - 10 q^{13} - 38 q^{14} - 6 q^{15} - 125 q^{16} + 15 q^{17} - 9 q^{18} - 27 q^{19} - 15 q^{20}+ \cdots + 105 q^{98}+O(q^{100}) $ 756 * q - 21 * q^2 - 5 * q^3 + 115 * q^4 - 15 * q^6 - 14 * q^7 + 50 * q^9 - 16 * q^10 - 24 * q^11 - 26 * q^12 - 10 * q^13 - 38 * q^14 - 6 * q^15 - 125 * q^16 + 15 * q^17 - 9 * q^18 - 27 * q^19 - 15 * q^20 - 16 * q^21 - q^22 - 5 * q^23 - 39 * q^24 - 79 * q^25 - 34 * q^26 - 50 * q^27 - 142 * q^28 - 3 * q^29 - 11 * q^30 - 15 * q^31 - 21 * q^32 - 6 * q^33 - 12 * q^35 - 84 * q^36 + 7 * q^37 - 2 * q^38 - 6 * q^39 - 24 * q^40 - 6 * q^41 + 88 * q^42 - 5 * q^43 + 108 * q^44 - 21 * q^45 - 21 * q^46 + 63 * q^47 - 154 * q^48 - 34 * q^49 + 135 * q^50 + 26 * q^51 + 89 * q^52 + 16 * q^53 - 21 * q^54 - 4 * q^55 + 58 * q^56 - 63 * q^57 - 18 * q^58 - 21 * q^59 + 15 * q^60 - 75 * q^61 - 87 * q^62 + 147 * q^63 + 4 * q^64 - 20 * q^65 + 85 * q^66 - 27 * q^67 + 312 * q^68 - 182 * q^69 - 228 * q^70 - 30 * q^71 - 120 * q^72 + 6 * q^73 - 43 * q^74 + 83 * q^75 + 21 * q^76 + 3 * q^77 + 79 * q^78 + 12 * q^79 + 57 * q^80 + 72 * q^81 - 248 * q^82 + 147 * q^83 - 14 * q^84 - 24 * q^85 - 60 * q^86 - 37 * q^87 + 70 * q^88 - 126 * q^89 + 117 * q^90 - 55 * q^91 + 88 * q^92 - 21 * q^93 + 210 * q^94 + 9 * q^95 - 12 * q^96 - 156 * q^97 + 105 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/637\mathbb{Z}\right)^\times$.

$n$	$197$	$248$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{21}\right)$

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 $

$2$	−0.938275	−	1.94835i	−0.663461	−	1.37769i	−0.912452	−	0.409184i	$-0.865813\pi$
$2$	−0.938275	−	1.94835i	−0.663461	−	1.37769i	0.248991	−	0.968506i	$-0.419901\pi$
$3$	1.73522	−	0.535243i	1.00183	−	0.309023i	0.249902	−	0.968271i	$-0.419602\pi$
$3$	1.73522	−	0.535243i	1.00183	−	0.309023i	0.751925	+	0.659248i	$0.229125\pi$
$4$	−1.66872	+	2.09251i	−0.834360	+	1.04625i
$5$	−0.694611	−	2.25187i	−0.310639	−	1.00707i	−0.967461	−	0.253022i	$-0.918576\pi$
$5$	−0.694611	−	2.25187i	−0.310639	−	1.00707i	0.656821	−	0.754046i	$-0.271901\pi$
$6$	−2.67095	−	2.87860i	−1.09041	−	1.17518i
$7$	−0.169018	+	2.64035i	−0.0638827	+	0.997957i
$7$	−0.169018	+	2.64035i	−0.0638827	+	0.997957i
$8$	1.42609	+	0.325495i	0.504198	+	0.115080i
$9$	0.245774	−	0.167566i	0.0819246	−	0.0558553i
$10$	−3.73570	+	3.46622i	−1.18133	+	1.09611i
$11$	3.12154	−	4.57845i	0.941178	−	1.38046i	0.0164347	−	0.999865i	$-0.494768\pi$
$11$	3.12154	−	4.57845i	0.941178	−	1.38046i	0.924744	−	0.380590i	$-0.124279\pi$
$12$	−1.77559	+	4.52413i	−0.512569	+	1.30600i
$13$	−3.60468	−	0.0792810i	−0.999758	−	0.0219886i
$13$	−3.60468	−	0.0792810i	−0.999758	−	0.0219886i
$14$	5.30290	−	2.14807i	1.41726	−	0.574095i
$15$	−2.41060	−	3.53570i	−0.622414	−	0.912914i
$16$	0.487235	+	2.13472i	0.121809	+	0.533679i
$17$	−4.04558	−	5.07300i	−0.981197	−	1.23038i	−0.973092	−	0.230415i	$-0.925992\pi$
$17$	−4.04558	−	5.07300i	−0.981197	−	1.23038i	−0.00810449	−	0.999967i	$-0.502580\pi$
$18$	−0.557080	−	0.321630i	−0.131305	−	0.0758090i
$19$	−5.11927	−	2.95561i	−1.17444	−	0.678064i	−0.219720	−	0.975563i	$-0.570514\pi$
$19$	−5.11927	−	2.95561i	−1.17444	−	0.678064i	−0.954722	+	0.297499i	$0.903848\pi$
$20$	5.87118	+	2.30427i	1.31284	+	0.515250i
$21$	1.11995	+	4.67204i	0.244392	+	1.01952i
$22$	−11.8493	−	1.78599i	−2.52627	−	0.380775i
$23$	−2.23094	+	2.79752i	−0.465184	+	0.583322i	−0.957984	−	0.286820i	$-0.907402\pi$
$23$	−2.23094	+	2.79752i	−0.465184	+	0.583322i	0.492800	+	0.870142i	$0.335973\pi$
$24$	2.64879	−	0.198499i	0.540682	−	0.0405185i
$25$	−0.457252	+	0.311749i	−0.0914505	+	0.0623499i
$26$	3.22771	+	7.09756i	0.633007	+	1.39195i
$27$	−3.05979	+	3.83685i	−0.588856	+	0.738402i
$28$	−5.24291	−	4.75967i	−0.990817	−	0.899494i
$29$	3.72687	−	0.561736i	0.692063	−	0.104312i	0.206413	−	0.978465i	$-0.433821\pi$
$29$	3.72687	−	0.561736i	0.692063	−	0.104312i	0.485650	+	0.874153i	$0.338583\pi$
$30$	−4.62697	+	8.01415i	−0.844765	+	1.46318i
$31$	−2.68747	−	1.55161i	−0.482683	−	0.278677i	0.238851	−	0.971056i	$-0.423229\pi$
$31$	−2.68747	−	1.55161i	−0.482683	−	0.278677i	−0.721534	+	0.692379i	$0.756563\pi$
$32$	5.98928	−	4.77629i	1.05876	−	0.844336i
$33$	2.96595	−	9.61539i	0.516306	−	1.67382i
$34$	−6.08810	+	12.6421i	−1.04410	+	2.16810i
$35$	6.06313	−	1.45341i	1.02486	−	0.245671i
$36$	−0.0594949	+	0.793905i	−0.00991582	+	0.132317i
$37$	6.10424	−	4.86797i	1.00353	−	0.800290i	0.0236198	−	0.999721i	$-0.492481\pi$
$37$	6.10424	−	4.86797i	1.00353	−	0.800290i	0.979912	+	0.199431i	$0.0639095\pi$
$38$	−0.955279	+	12.7473i	−0.154967	+	2.06789i
$39$	−6.29733	+	1.79181i	−1.00838	+	0.286919i
$40$	−0.257602	−	3.43746i	−0.0407304	−	0.543510i
$41$	−4.27454	+	4.60686i	−0.667572	+	0.719471i	−0.972500	−	0.232904i	$-0.925177\pi$
$41$	−4.27454	+	4.60686i	−0.667572	+	0.719471i	0.304928	+	0.952375i	$0.401368\pi$
$42$	8.05194	−	6.56570i	1.24244	−	1.01311i
$43$	−1.76691	+	1.63945i	−0.269451	+	0.250014i	−0.803312	−	0.595558i	$-0.796931\pi$
$43$	−1.76691	+	1.63945i	−0.269451	+	0.250014i	0.533861	+	0.845572i	$0.320740\pi$
$44$	4.37148	+	14.1720i	0.659026	+	2.13651i
$45$	−0.548054	−	0.437059i	−0.0816991	−	0.0651528i
$46$	7.54377	+	1.72182i	1.11227	+	0.253868i
$47$	4.56533	−	6.69610i	0.665921	−	0.976727i	−0.333501	−	0.942750i	$-0.608230\pi$
$47$	4.56533	−	6.69610i	0.665921	−	0.976727i	0.999423	−	0.0339774i	$-0.0108174\pi$
$48$	1.98805	+	3.44340i	0.286950	+	0.497013i
$49$	−6.94287	−	0.892530i	−0.991838	−	0.127504i
$50$	1.03643	+	0.598380i	0.146573	+	0.0846238i
$51$	−9.73524	−	6.63738i	−1.36321	−	0.929418i
$52$	6.18110	−	7.41053i	0.857164	−	1.02766i
$53$	−1.33033	−	3.38963i	−0.182735	−	0.465602i	0.809926	−	0.586532i	$-0.199507\pi$
$53$	−1.33033	−	3.38963i	−0.182735	−	0.465602i	−0.992661	+	0.120931i	$0.961412\pi$
$54$	10.3464	+	2.36151i	1.40797	+	0.321361i
$55$	−12.4783	−	3.84906i	−1.68258	−	0.519007i
$56$	−1.10045	+	3.71035i	−0.147054	+	0.495816i
$57$	−10.4650	−	2.38857i	−1.38613	−	0.316374i
$58$	−4.59129	−	6.73418i	−0.602866	−	0.884241i
$59$	−0.684133	+	0.156149i	−0.0890666	+	0.0203289i	−0.266822	−	0.963746i	$-0.585974\pi$
$59$	−0.684133	+	0.156149i	−0.0890666	+	0.0203289i	0.177755	+	0.984075i	$0.443116\pi$
$60$	11.4211	+	0.855894i	1.47446	+	0.110495i
$61$	13.6012	−	2.05004i	1.74145	−	0.262481i	0.800089	−	0.599882i	$-0.204786\pi$
$61$	13.6012	−	2.05004i	1.74145	−	0.262481i	0.941361	+	0.337400i	$0.109548\pi$
$62$	−0.501493	+	6.69196i	−0.0636896	+	0.849879i
$63$	0.400892	+	0.677250i	0.0505076	+	0.0853255i
$64$	−10.9799	−	5.28765i	−1.37249	−	0.660956i
$65$	2.32532	+	8.17235i	0.288420	+	1.01366i
$66$	−21.5170	+	3.24317i	−2.64856	+	0.399206i
$67$	12.5123	−	7.22396i	1.52862	−	0.882547i	0.529196	−	0.848500i	$-0.322494\pi$
$67$	12.5123	−	7.22396i	1.52862	−	0.882547i	0.999420	−	0.0340468i	$-0.0108395\pi$
$68$	17.3662			2.10597
$69$	−2.37382	+	6.04839i	−0.285774	+	0.728141i
$70$	−8.52062	−	10.4494i	−1.01841	−	1.24894i
$71$	0.0363139	−	0.240927i	0.00430967	−	0.0285928i	−0.986573	−	0.163323i	$-0.947779\pi$
$71$	0.0363139	−	0.240927i	0.00430967	−	0.0285928i	0.990882	+	0.134730i	$0.0430168\pi$
$72$	0.405037	−	0.158965i	0.0477341	−	0.0187342i
$73$	4.54953	+	6.67294i	0.532482	+	0.781008i	0.994374	−	0.105928i	$-0.0337814\pi$
$73$	4.54953	+	6.67294i	0.532482	+	0.781008i	−0.461891	+	0.886937i	$0.652829\pi$
$74$	−15.2120	−	7.32570i	−1.76836	−	0.851595i
$75$	−0.626570	+	0.785694i	−0.0723501	+	0.0907241i
$76$	14.7273	−	5.78004i	1.68934	−	0.663016i
$77$	11.5611	+	9.01578i	1.31751	+	1.02744i
$78$	9.39970	+	10.5882i	1.06431	+	1.19888i
$79$	5.41989	+	9.38753i	0.609786	+	1.05618i	0.991275	+	0.131807i	$0.0420778\pi$
$79$	5.41989	+	9.38753i	0.609786	+	1.05618i	−0.381490	+	0.924373i	$0.624589\pi$
$80$	4.46867	−	2.57999i	0.499612	−	0.288451i
$81$	−3.58177	+	9.12619i	−0.397974	+	1.01402i
$82$	12.9865	+	4.00580i	1.43412	+	0.442366i
$83$	−2.65968	+	5.52288i	−0.291938	+	0.606215i	−0.994421	−	0.105485i	$-0.966360\pi$
$83$	−2.65968	+	5.52288i	−0.291938	+	0.606215i	0.702483	+	0.711700i	$0.252075\pi$
$84$	−11.6452	−	5.45283i	−1.27059	−	0.594953i
$85$	−8.61364	+	12.6339i	−0.934280	+	1.37034i
$86$	4.85207	+	1.90430i	0.523212	+	0.205346i
$87$	6.16626	−	2.96952i	0.661093	−	0.318366i
$88$	5.94185	−	5.51323i	0.633403	−	0.587712i
$89$	2.28286	−	4.74041i	0.241983	−	0.502482i	−0.744239	−	0.667914i	$-0.767187\pi$
$89$	2.28286	−	4.74041i	0.241983	−	0.502482i	0.986221	+	0.165432i	$0.0529017\pi$
$90$	−0.337317	+	1.47788i	−0.0355563	+	0.155782i
$91$	0.818584	−	9.50421i	0.0858109	−	0.996311i
$92$	−2.13101	−	9.33655i	−0.222173	−	0.973402i
$93$	−5.49382	−	1.25393i	−0.569683	−	0.130026i
$94$	−17.3299	−	2.61206i	−1.78744	−	0.269413i
$95$	−3.09976	+	13.5810i	−0.318029	+	1.39338i
$96$	7.83621	−	11.4936i	0.799780	−	1.17306i
$97$	8.89596	−	5.13608i	0.903248	−	0.521490i	0.0249952	−	0.999688i	$-0.492043\pi$
$97$	8.89596	−	5.13608i	0.903248	−	0.521490i	0.878252	+	0.478197i	$0.158710\pi$
$98$	4.77536	+	14.3646i	0.482384	+	1.45104i
$99$		−	1.64833i		−	0.165663i
$100$	0.110688	−	1.47703i	0.0110688	−	0.147703i
$101$	13.6048	−	4.19652i	1.35373	−	0.417570i	0.468803	−	0.883303i	$-0.344686\pi$
$101$	13.6048	−	4.19652i	1.35373	−	0.417570i	0.884925	+	0.465733i	$0.154209\pi$
$102$	−3.79758	+	25.1953i	−0.376017	+	2.49471i
$103$	−11.4647	+	3.53638i	−1.12965	+	0.348450i	−0.802576	−	0.596550i	$-0.796538\pi$
$103$	−11.4647	+	3.53638i	−1.12965	+	0.348450i	−0.327071	+	0.945000i	$0.606062\pi$
$104$	−5.11478	−	1.28637i	−0.501546	−	0.126139i
$105$	9.74291	−	5.76722i	0.950811	−	0.562823i
$106$	−5.35596	+	5.77236i	−0.520217	+	0.560661i
$107$	−11.5716	−	5.57260i	−1.11867	−	0.538724i	−0.219190	−	0.975682i	$-0.570341\pi$
$107$	−11.5716	−	5.57260i	−1.11867	−	0.538724i	−0.899482	+	0.436959i	$0.856056\pi$
$108$	−2.92272	−	12.8053i	−0.281239	−	1.23219i
$109$	4.77461	+	0.357807i	0.457324	+	0.0342717i	0.301401	−	0.953497i	$-0.402546\pi$
$109$	4.77461	+	0.357807i	0.457324	+	0.0342717i	0.155923	+	0.987769i	$0.450165\pi$
$110$	4.20881	+	27.9236i	0.401294	+	2.66241i
$111$	7.98663	−	11.7142i	0.758058	−	1.11187i
$112$	−5.71874	+	0.925665i	−0.540370	+	0.0874671i
$113$	−0.634449	−	8.46613i	−0.0596839	−	0.796427i	−0.944086	−	0.329700i	$-0.893052\pi$
$113$	−0.634449	−	8.46613i	−0.0596839	−	0.796427i	0.884402	−	0.466727i	$-0.154567\pi$
$114$	5.16530	+	22.6306i	0.483774	+	2.11955i
$115$	7.84929	+	3.08062i	0.731950	+	0.287269i
$116$	−5.04367	+	8.73590i	−0.468293	+	0.811108i
$117$	−0.899221	+	0.584536i	−0.0831330	+	0.0540404i
$118$	0.946138	+	1.18642i	0.0870991	+	0.109219i
$119$	14.0782	−	9.82431i	1.29055	−	0.900593i
$120$	−2.28687	−	5.82686i	−0.208762	−	0.531917i
$121$	−7.19949	−	18.3440i	−0.654499	−	1.66764i
$122$	−16.7558	−	24.5763i	−1.51700	−	2.22503i
$123$	−4.95147	+	10.2818i	−0.446459	+	0.927081i
$124$	7.73139	−	3.03435i	0.694299	−	0.272492i
$125$	−8.19256	−	6.53335i	−0.732765	−	0.584361i
$126$	0.943372	−	1.41652i	0.0840423	−	0.126194i
$127$	−4.40766	+	0.664348i	−0.391116	+	0.0589513i	−0.341657	−	0.939825i	$-0.610988\pi$
$127$	−4.40766	+	0.664348i	−0.391116	+	0.0589513i	−0.0494597	+	0.998776i	$0.515750\pi$
$128$			11.0328i			0.975172i
$129$	−2.18846	+	3.79053i	−0.192683	+	0.333737i
$130$	13.7408	−	12.1984i	1.20515	−	1.06987i
$131$	−4.99675	+	4.63631i	−0.436568	+	0.405076i	−0.867602	−	0.497260i	$-0.834340\pi$
$131$	−4.99675	+	4.63631i	−0.436568	+	0.405076i	0.431033	+	0.902336i	$0.358149\pi$
$132$	15.1709	+	22.2517i	1.32046	+	1.93676i
$133$	8.66910	−	13.0171i	0.751706	−	1.12873i
$134$	−25.8147	−	17.6002i	−2.23005	−	1.52042i
$135$	10.7655	+	4.22513i	0.926543	+	0.363641i
$136$	−4.11811	−	8.55135i	−0.353125	−	0.733272i
$137$	−4.54740	+	1.03791i	−0.388511	+	0.0886750i	−0.412314	−	0.911042i	$-0.635279\pi$
$137$	−4.54740	+	1.03791i	−0.388511	+	0.0886750i	0.0238038	+	0.999717i	$0.492422\pi$
$138$	14.0117	−	1.05003i	1.19275	−	0.0893844i
$139$	−9.25457	+	2.85466i	−0.784962	+	0.242129i	−0.661226	−	0.750186i	$-0.729964\pi$
$139$	−9.25457	+	2.85466i	−0.784962	+	0.242129i	−0.123736	+	0.992315i	$0.539488\pi$
$140$	−7.07640	+	15.1125i	−0.598065	+	1.27724i
$141$	4.33778	−	14.0627i	0.365307	−	1.18430i
$142$	−0.503483	+	0.155304i	−0.0422513	+	0.0130328i
$143$	−11.6151	+	16.2564i	−0.971305	+	1.35943i
$144$	0.477455	+	0.443014i	0.0397879	+	0.0369178i
$145$	−3.85368	−	8.00225i	−0.320031	−	0.664551i
$146$	8.73249	−	15.1251i	0.722706	−	1.25176i
$147$	−12.5251	+	2.16739i	−1.03305	+	0.178763i
$148$			20.8965i			1.71768i
$149$	4.11313	+	0.308237i	0.336961	+	0.0252517i	0.242136	−	0.970242i	$-0.422152\pi$
$149$	4.11313	+	0.308237i	0.336961	+	0.0252517i	0.0948246	+	0.995494i	$0.469771\pi$
$150$	2.11870	+	0.483580i	0.172991	+	0.0394841i
$151$	2.33616	−	0.916874i	0.190114	−	0.0746141i	−0.268374	−	0.963315i	$-0.586486\pi$
$151$	2.33616	−	0.916874i	0.190114	−	0.0746141i	0.458488	+	0.888701i	$0.348391\pi$
$152$	−6.33849	−	5.88126i	−0.514120	−	0.477033i
$153$	−1.84436	−	0.568909i	−0.149108	−	0.0459936i
$154$	6.71837	−	30.9843i	0.541382	−	2.49679i
$155$	−1.62728	+	7.12960i	−0.130707	+	0.572663i
$156$	6.75911	−	16.1673i	0.541162	−	1.29442i
$157$	−1.38809	−	0.428169i	−0.110782	−	0.0341716i	0.238869	−	0.971052i	$-0.423223\pi$
$157$	−1.38809	−	0.428169i	−0.110782	−	0.0341716i	−0.349650	+	0.936880i	$0.613700\pi$
$158$	13.2048	−	19.3679i	1.05052	−	1.54083i
$159$	−4.12269	−	5.16969i	−0.326951	−	0.409983i
$160$	−14.9158	−	10.1694i	−1.17920	−	0.803964i
$161$	−7.00934	−	6.36330i	−0.552414	−	0.501498i
$162$	21.1417	−	1.58435i	1.66105	−	0.124478i
$163$	1.79228	−	5.81044i	0.140382	−	0.455109i	−0.857892	−	0.513830i	$-0.828226\pi$
$163$	1.79228	−	5.81044i	0.140382	−	0.455109i	0.998274	+	0.0587213i	$0.0187023\pi$
$164$	−2.50688	−	16.6321i	−0.195755	−	1.29875i
$165$	−23.7128			−1.84604
$166$	13.2560			1.02887
$167$	−2.55599	−	16.9579i	−0.197788	−	1.31224i	−0.838686	−	0.544615i	$-0.816676\pi$
$167$	−2.55599	−	16.9579i	−0.197788	−	1.31224i	0.640898	−	0.767626i	$-0.278562\pi$
$168$	0.0764150	+	7.02727i	0.00589555	+	0.542166i
$169$	12.9874	+	0.571565i	0.999033	+	0.0439665i
$170$	32.6972	+	4.92830i	2.50776	+	0.377984i
$171$	−1.75344	+	0.131402i	−0.134089	+	0.0100486i
$172$	−0.482091	−	6.43306i	−0.0367591	−	0.490516i
$173$	−0.703258	−	1.79187i	−0.0534677	−	0.136233i	0.901644	−	0.432478i	$-0.142361\pi$
$173$	−0.703258	−	1.79187i	−0.0534677	−	0.136233i	−0.955112	+	0.296245i	$0.904266\pi$
$174$	−11.5713	−	9.22781i	−0.877218	−	0.699558i
$175$	−0.745843	−	1.26000i	−0.0563804	−	0.0952468i
$176$	11.2946	+	4.43281i	0.851364	+	0.334136i
$177$	−1.10354	+	0.637130i	−0.0829473	+	0.0478896i
$178$	−11.3779			−0.852811
$179$	7.92768	−	20.1994i	0.592542	−	1.50977i	−0.248405	−	0.968656i	$-0.579906\pi$
$179$	7.92768	−	20.1994i	0.592542	−	1.50977i	0.840947	−	0.541117i	$-0.181998\pi$
$180$	1.82910	−	0.417480i	0.136333	−	0.0311171i
$181$	3.86077	+	1.85925i	0.286969	+	0.138197i	0.571831	−	0.820372i	$-0.306233\pi$
$181$	3.86077	+	1.85925i	0.286969	+	0.138197i	−0.284862	+	0.958569i	$0.591948\pi$
$182$	−19.2856	+	7.32267i	−1.42954	+	0.542793i
$183$	22.5037	−	10.8372i	1.66352	−	0.801109i
$184$	−4.09210	+	3.26334i	−0.301673	+	0.240577i
$185$	−15.2021	−	10.3646i	−1.11768	−	0.762023i
$186$	2.71163	+	11.8804i	0.198826	+	0.871114i
$187$	−35.8549	+	2.68695i	−2.62197	+	0.196489i
$188$	6.39341	+	20.7269i	0.466287	+	1.51167i
$189$	−9.61346	−	8.72739i	−0.699276	−	0.634825i
$190$	29.3689	−	6.70325i	2.13064	−	0.486305i
$191$	15.9506	+	14.8000i	1.15415	+	1.07089i	0.996517	+	0.0833934i	$0.0265758\pi$
$191$	15.9506	+	14.8000i	1.15415	+	1.07089i	0.157630	+	0.987498i	$0.449615\pi$
$192$	−21.8827	−	3.29829i	−1.57925	−	0.238033i
$193$	−3.84263	−	12.4575i	−0.276598	−	0.896710i	−0.982158	−	0.188059i	$-0.939780\pi$
$193$	−3.84263	−	12.4575i	−0.276598	−	0.896710i	0.705559	−	0.708651i	$-0.250696\pi$
$194$	−18.3537	−	12.5134i	−1.31772	−	0.898407i
$195$	8.40913	+	12.9362i	0.602190	+	0.926379i
$196$	13.4533	−	13.0386i	0.960952	−	0.931331i
$197$	−9.99328	−	5.76962i	−0.711992	−	0.411069i	0.0998065	−	0.995007i	$-0.468178\pi$
$197$	−9.99328	−	5.76962i	−0.711992	−	0.411069i	−0.811798	+	0.583938i	$0.801511\pi$
$198$	−3.21151	+	1.54658i	−0.228232	+	0.109911i
$199$	3.11599	−	13.6520i	0.220886	−	0.967767i	−0.735926	−	0.677062i	$-0.763253\pi$
$199$	3.11599	−	13.6520i	0.220886	−	0.967767i	0.956813	−	0.290705i	$-0.0938898\pi$
$200$	−0.753555	+	0.295748i	−0.0532844	+	0.0209126i
$201$	17.8449	−	19.2322i	1.25868	−	1.35654i
$202$	−20.9413	−	22.5694i	−1.47343	−	1.58798i
$203$	0.853270	+	9.93518i	0.0598878	+	0.697313i
$204$	30.1342	−	9.29516i	2.10981	−	0.650791i
$205$	13.3432	+	6.42575i	0.931930	+	0.448794i
$206$	17.6471	+	19.0191i	1.22953	+	1.32512i
$207$	−0.0795399	+	1.06139i	−0.00552841	+	0.0737714i
$208$	−1.58708	−	7.73360i	−0.110044	−	0.536228i
$209$	−29.5121	+	14.2123i	−2.04140	+	0.983085i
$210$	−20.3781	−	13.5713i	−1.40622	−	0.936511i
$211$	5.43894	−	3.70821i	0.374432	−	0.255283i	−0.361452	−	0.932391i	$-0.617719\pi$
$211$	5.43894	−	3.70821i	0.374432	−	0.255283i	0.735884	+	0.677107i	$0.236767\pi$
$212$	9.31279	+	2.87262i	0.639605	+	0.197292i
$213$	−0.0659422	−	0.437498i	−0.00451828	−	0.0299769i
$214$			27.7742i			1.89860i
$215$	4.91915	+	2.84007i	0.335483	+	0.193691i
$216$	−5.61240	+	4.47574i	−0.381875	+	0.304535i
$217$	4.55102	−	6.83359i	0.308943	−	0.463895i
$218$	−3.78276	−	9.63832i	−0.256201	−	0.652789i
$219$	11.4661	+	9.14388i	0.774805	+	0.617886i
$220$	28.8771	−	19.6881i	1.94689	−	1.32737i
$221$	14.1808	+	18.6073i	0.953905	+	1.25166i
$222$	−30.3171	−	4.56956i	−2.03475	−	0.306689i
$223$	−17.4707	+	6.85673i	−1.16992	+	0.459161i	−0.869156	−	0.494537i	$-0.835338\pi$
$223$	−17.4707	+	6.85673i	−1.16992	+	0.459161i	−0.300766	+	0.953698i	$0.597242\pi$
$224$	11.5988	+	16.6210i	0.774975	+	1.11054i
$225$	−0.0601422	+	0.153240i	−0.00400948	+	0.0102160i
$226$	−15.8997	+	9.17969i	−1.05763	+	0.610624i
$227$			22.0053i			1.46054i	0.683158	+	0.730270i	$0.260606\pi$
$227$			22.0053i			1.46054i	−0.683158	+	0.730270i	$0.739394\pi$
$228$	22.4613	−	17.9123i	1.48754	−	1.18627i
$229$	11.5458	+	12.4434i	0.762966	+	0.822282i	0.988383	−	0.151980i	$-0.0485651\pi$
$229$	11.5458	+	12.4434i	0.762966	+	0.822282i	−0.225417	+	0.974262i	$0.572375\pi$
$230$	−1.36267	−	18.1836i	−0.0898520	−	1.19899i
$231$	24.8867	+	9.45632i	1.63742	+	0.622180i
$232$	5.49769	+	0.411995i	0.360941	+	0.0270488i
$233$	−3.91084	+	9.96465i	−0.256207	+	0.652806i	−0.999876	−	0.0157425i	$-0.994989\pi$
$233$	−3.91084	+	9.96465i	−0.256207	+	0.652806i	0.743669	+	0.668548i	$0.233084\pi$
$234$	1.98260	+	1.20354i	0.129606	+	0.0786779i
$235$	−18.2499	−	5.62935i	−1.19049	−	0.367218i
$236$	0.814884	−	1.69212i	0.0530445	−	0.110148i
$237$	14.4293	+	13.3884i	0.937284	+	0.869672i
$238$	−32.3504	−	18.2114i	−2.09697	−	1.18047i
$239$	25.8101	−	5.89099i	1.66952	−	0.381056i	0.719803	−	0.694178i	$-0.244232\pi$
$239$	25.8101	−	5.89099i	1.66952	−	0.381056i	0.949713	+	0.313122i	$0.101375\pi$
$240$	6.37319	−	6.86866i	0.411388	−	0.443370i
$241$	−14.9183	−	11.8970i	−0.960973	−	0.766350i	0.0113638	−	0.999935i	$-0.496383\pi$
$241$	−14.9183	−	11.8970i	−0.960973	−	0.766350i	−0.972336	+	0.233585i	$0.924954\pi$
$242$	−28.9854	+	31.2388i	−1.86325	+	2.00811i
$243$	−0.230189	+	3.07165i	−0.0147666	+	0.197047i
$244$	−18.4068	+	31.8815i	−1.17837	+	2.04100i
$245$	2.81272	+	16.2544i	0.179698	+	1.03846i
$246$	24.6784			1.57344
$247$	18.2190	+	11.0599i	1.15925	+	0.703725i
$248$	−3.32752	−	3.08749i	−0.211298	−	0.196056i
$249$	−1.65903	+	11.0070i	−0.105137	+	0.697539i
$250$	−5.04237	+	22.0920i	−0.318907	+	1.39722i
$251$	10.0910	−	9.36311i	0.636940	−	0.590994i	−0.294161	−	0.955756i	$-0.595040\pi$
$251$	10.0910	−	9.36311i	0.636940	−	0.590994i	0.931101	+	0.364762i	$0.118850\pi$
$252$	−2.08613	−	0.291271i	−0.131414	−	0.0183484i
$253$	5.84432	+	18.9468i	0.367429	+	1.19118i
$254$	5.42998	+	7.96431i	0.340707	+	0.499725i
$255$	−8.18432	+	26.5329i	−0.512522	+	1.66156i
$256$	−0.464060	+	0.223479i	−0.0290037	+	0.0139675i
$257$	4.51139	+	5.65710i	0.281413	+	0.352880i	0.902369	−	0.430965i	$-0.141827\pi$
$257$	4.51139	+	5.65710i	0.281413	+	0.352880i	−0.620956	+	0.783845i	$0.713255\pi$
$258$	9.43865	+	0.707329i	0.587625	+	0.0440364i
$259$	11.8214	+	16.9401i	0.734547	+	1.05261i
$260$	−20.9810	−	8.77162i	−1.30119	−	0.543993i
$261$	0.821840	−	0.762556i	0.0508706	−	0.0472011i
$262$	13.7215	+	5.38528i	0.847715	+	0.332704i
$263$	9.92917	+	17.1978i	0.612259	+	1.06046i	0.990859	+	0.134903i	$0.0430722\pi$
$263$	9.92917	+	17.1978i	0.612259	+	1.06046i	−0.378600	+	0.925560i	$0.623594\pi$
$264$	7.35947	−	12.7470i	0.452944	−	0.784522i
$265$	−6.70895	+	5.35021i	−0.412128	+	0.328661i
$266$	−33.4959	−	4.67679i	−2.05376	−	0.286752i
$267$	1.42398	−	9.44752i	0.0871464	−	0.578179i
$268$	−5.76327	+	38.2368i	−0.352048	+	2.33568i
$269$	11.1108	+	5.35066i	0.677434	+	0.326235i	0.740772	−	0.671757i	$-0.234460\pi$
$269$	11.1108	+	5.35066i	0.677434	+	0.326235i	−0.0633372	+	0.997992i	$0.520174\pi$
$270$	−1.86893	−	24.9392i	−0.113740	−	1.51775i
$271$	−21.5371	−	17.1753i	−1.30829	−	1.04333i	−0.995623	−	0.0934617i	$-0.970207\pi$
$271$	−21.5371	−	17.1753i	−1.30829	−	1.04333i	−0.312665	−	0.949863i	$-0.601222\pi$
$272$	8.85826	−	11.1079i	0.537111	−	0.673516i
$273$	−3.66664	−	16.9300i	−0.221915	−	1.02465i
$274$	6.28893	+	7.88607i	0.379928	+	0.476415i
$275$			3.06665i			0.184926i
$276$	−8.69508	−	15.0603i	−0.523382	−	0.906525i
$277$	−11.9794	−	15.0217i	−0.719772	−	0.902565i	0.278553	−	0.960421i	$-0.410145\pi$
$277$	−11.9794	−	15.0217i	−0.719772	−	0.902565i	−0.998325	+	0.0578557i	$0.981574\pi$
$278$	14.2452	+	15.3527i	0.854370	+	0.920792i
$279$	−0.920506	+	0.0689824i	−0.0551092	+	0.00412987i
$280$	9.11962	−	0.0991674i	0.545002	−	0.00592639i
$281$	−6.73269	−	13.9806i	−0.401639	−	0.834012i	−0.999475	−	0.0323935i	$-0.989687\pi$
$281$	−6.73269	−	13.9806i	−0.401639	−	0.834012i	0.597836	−	0.801618i	$-0.296027\pi$
$282$	−31.4692	+	4.74321i	−1.87396	+	0.282454i
$283$	2.65450	+	1.80981i	0.157794	+	0.107582i	0.639643	−	0.768672i	$-0.279082\pi$
$283$	2.65450	+	1.80981i	0.157794	+	0.107582i	−0.481849	+	0.876254i	$0.660035\pi$
$284$	0.443545	+	0.478028i	0.0263195	+	0.0283657i
$285$	1.89035	+	25.2250i	0.111975	+	1.49420i
$286$	42.5713	+	7.37735i	2.51729	+	0.436232i
$287$	−11.4412	−	12.0649i	−0.675355	−	0.712170i
$288$	0.671665	−	2.17748i	0.0395782	−	0.128310i
$289$	−5.58572	+	24.4726i	−0.328572	+	1.43957i
$290$	−11.9754	+	15.0166i	−0.703218	+	0.881807i
$291$	12.6874	−	13.6737i	0.743746	−	0.801568i
$292$	−21.5551	−	1.61533i	−1.26142	−	0.0945301i
$293$	−3.31647	+	1.91476i	−0.193750	+	0.111862i	−0.593737	−	0.804659i	$-0.702348\pi$
$293$	−3.31647	+	1.91476i	−0.193750	+	0.111862i	0.399987	+	0.916521i	$0.369015\pi$
$294$	15.9748	+	22.3696i	0.931670	+	1.30462i
$295$	0.826834	+	1.43212i	0.0481401	+	0.0833812i
$296$	10.2897	−	4.95525i	0.598076	−	0.288018i
$297$	8.01561	+	25.9860i	0.465113	+	1.50786i
$298$	−3.25870	−	8.30302i	−0.188771	−	0.480981i
$299$	8.26363	−	9.90728i	0.477898	−	0.572953i
$300$	−0.598502	−	2.62221i	−0.0345545	−	0.151393i
$301$	−4.03008	−	4.94235i	−0.232290	−	0.284872i
$302$	−3.97835	−	3.69137i	−0.228928	−	0.212414i
$303$	21.3611	−	14.5638i	1.22716	−	0.836666i
$304$	3.81511	−	12.3683i	0.218811	−	0.709369i
$305$	−14.0640	−	29.2041i	−0.805299	−	1.67222i
$306$	0.622082	+	4.12725i	0.0355621	+	0.235939i
$307$	9.42018	+	19.5612i	0.537638	+	1.11642i	0.976031	+	0.217633i	$0.0698336\pi$
$307$	9.42018	+	19.5612i	0.537638	+	1.11642i	−0.438393	+	0.898783i	$0.644452\pi$
$308$	−38.1579	+	9.14692i	−2.17425	+	0.521194i
$309$	−18.0009	+	12.2728i	−1.02403	+	0.698174i
$310$	15.4178	−	3.51901i	0.875671	−	0.199866i
$311$	14.6312	−	2.20530i	0.829659	−	0.125051i	0.279537	−	0.960135i	$-0.409819\pi$
$311$	14.6312	−	2.20530i	0.829659	−	0.125051i	0.550122	+	0.835084i	$0.314581\pi$
$312$	−9.56377	+	0.505528i	−0.541442	+	0.0286199i
$313$	−1.51784	−	2.62898i	−0.0857934	−	0.148599i	0.819936	−	0.572456i	$-0.194009\pi$
$313$	−1.51784	−	2.62898i	−0.0857934	−	0.148599i	−0.905729	+	0.423857i	$0.860676\pi$
$314$	0.468188	+	3.10623i	0.0264214	+	0.175294i
$315$	1.24662	−	1.37318i	0.0702389	−	0.0773701i
$316$	−28.6878	−	4.32399i	−1.61381	−	0.243243i
$317$	0.689517	−	4.57465i	0.0387271	−	0.256938i	−0.961086	−	0.276248i	$-0.910909\pi$
$317$	0.689517	−	4.57465i	0.0387271	−	0.256938i	0.999814	+	0.0193101i	$0.00614699\pi$
$318$	−6.20414	+	12.8830i	−0.347911	+	0.722444i
$319$	9.06169	−	18.8168i	0.507357	−	1.05354i
$320$	−4.28034	+	28.3982i	−0.239278	+	1.58751i
$321$	−23.0620	−	3.47603i	−1.28719	−	0.194013i
$322$	−5.82123	+	19.6272i	−0.324404	+	1.09378i
$323$	5.71661	+	37.9272i	0.318081	+	2.11033i
$324$	−13.1197	−	22.7240i	−0.728871	−	1.26244i
$325$	1.67296	−	1.08751i	0.0927994	−	0.0603240i
$326$	−13.0024	+	1.95980i	−0.720137	+	0.108543i
$327$	8.47649	−	1.93470i	0.468751	−	0.106989i
$328$	−7.59538	+	5.17844i	−0.419385	+	0.285932i
$329$	16.9084	+	13.1858i	0.932191	+	0.726957i
$330$	22.2491	+	46.2008i	1.22477	+	2.54327i
$331$	1.99971	+	13.2672i	0.109914	+	0.729233i	0.974109	+	0.226077i	$0.0725900\pi$
$331$	1.99971	+	13.2672i	0.109914	+	0.729233i	−0.864195	+	0.503157i	$0.832172\pi$
$332$	−7.11842	−	14.7816i	−0.390674	−	0.811243i
$333$	0.684558	−	2.21928i	0.0375136	−	0.121616i
$334$	−30.6416	+	20.8911i	−1.67664	+	1.14311i
$335$	−24.9586	−	23.1582i	−1.36363	−	1.26527i
$336$	−9.42780	+	4.66715i	−0.514329	+	0.254614i
$337$	3.82698	+	16.7671i	0.208469	+	0.913362i	0.965586	+	0.260083i	$0.0837499\pi$
$337$	3.82698	+	16.7671i	0.208469	+	0.913362i	−0.757117	+	0.653279i	$0.773393\pi$
$338$	−11.0722	−	25.8403i	−0.602247	−	1.40553i
$339$	−5.63235	−	14.3510i	−0.305907	−	0.779439i
$340$	−12.0628	−	39.1065i	−0.654196	−	2.12085i
$341$	−15.4930	+	7.46103i	−0.838992	+	0.404037i
$342$	1.90123	+	3.29303i	0.102807	+	0.178067i
$343$	3.53006	−	18.1807i	0.190605	−	0.981667i
$344$	−3.05340	+	1.76288i	−0.164628	+	0.0950482i
$345$	15.2691	+	1.14426i	0.822060	+	0.0616049i
$346$	−2.83134	+	3.05146i	−0.152214	+	0.164047i
$347$	−21.5031	+	26.9640i	−1.15434	+	1.44750i	−0.281462	+	0.959572i	$0.590819\pi$
$347$	−21.5031	+	26.9640i	−1.15434	+	1.44750i	−0.872883	+	0.487930i	$0.837752\pi$
$348$	−4.07603	+	17.8583i	−0.218498	+	0.957303i
$349$	−4.40441	+	14.2788i	−0.235763	+	0.764324i	0.757945	+	0.652319i	$0.226204\pi$
$349$	−4.40441	+	14.2788i	−0.235763	+	0.764324i	−0.993708	+	0.112006i	$0.964273\pi$
$350$	−1.75511	+	2.63539i	−0.0938144	+	0.140867i
$351$	11.3337	−	13.5880i	0.604950	−	0.725276i
$352$	−3.17227	−	42.3310i	−0.169082	−	2.25625i
$353$	−13.9287	−	15.0116i	−0.741351	−	0.798987i	0.243954	−	0.969787i	$-0.421555\pi$
$353$	−13.9287	−	15.0116i	−0.741351	−	0.798987i	−0.985306	+	0.170800i	$0.945365\pi$
$354$	2.27678	+	1.55228i	0.121009	+	0.0825028i
$355$	−0.567762	+	0.0855763i	−0.0301337	+	0.00454192i
$356$	6.10989	+	12.6873i	0.323824	+	0.672427i
$357$	19.1704	−	24.5826i	1.01461	−	1.30105i
$358$	−46.7938	+	3.50671i	−2.47313	+	0.185335i
$359$	2.59999	+	2.80212i	0.137222	+	0.147890i	0.797924	−	0.602758i	$-0.205932\pi$
$359$	2.59999	+	2.80212i	0.137222	+	0.147890i	−0.660702	+	0.750649i	$0.729741\pi$
$360$	−0.639312	−	0.801672i	−0.0336947	−	0.0422518i
$361$	7.97131	+	13.8067i	0.419543	+	0.726670i
$362$		−	9.26662i		−	0.487043i
$363$	−22.3112	−	27.9773i	−1.17103	−	1.46843i
$364$	18.5217	+	17.5728i	0.970799	+	0.921063i
$365$	11.8665	−	14.8801i	0.621119	−	0.778858i
$366$	−42.2293	−	33.6767i	−2.20736	−	1.76031i
$367$	0.549649	+	7.33456i	0.0286915	+	0.382861i	0.993003	+	0.118090i	$0.0376772\pi$
$367$	0.549649	+	7.33456i	0.0286915	+	0.382861i	−0.964311	+	0.264771i	$0.914704\pi$
$368$	−7.05890	−	3.39938i	−0.367970	−	0.177205i
$369$	−0.278619	+	1.84851i	−0.0145043	+	0.0962298i
$370$	−5.93014	+	39.3439i	−0.308293	+	2.04539i
$371$	9.17465	−	2.93963i	0.476324	−	0.152618i
$372$	11.7915	−	9.40342i	0.611362	−	0.487545i
$373$	1.87971	−	3.25575i	0.0973276	−	0.168576i	−0.813250	−	0.581914i	$-0.802304\pi$
$373$	1.87971	−	3.25575i	0.0973276	−	0.168576i	0.910578	+	0.413338i	$0.135637\pi$
$374$	38.8769	+	67.3367i	2.01027	+	3.48190i
$375$	−17.7128	−	6.95176i	−0.914685	−	0.358988i
$376$	8.69010	−	8.06323i	0.448158	−	0.415830i
$377$	−13.4787	+	1.72941i	−0.694189	+	0.0890690i
$378$	−7.98393	+	26.9191i	−0.410649	+	1.38457i
$379$	18.9410	+	1.41943i	0.972936	+	0.0729115i	0.551703	−	0.834041i	$-0.313978\pi$
$379$	18.9410	+	1.41943i	0.972936	+	0.0729115i	0.421233	+	0.906952i	$0.361597\pi$
$380$	−23.2456	−	29.1491i	−1.19248	−	1.49532i
$381$	−7.29265	+	3.51196i	−0.373614	+	0.179923i
$382$	13.8695	−	44.9639i	0.709626	−	2.30055i
$383$	2.81075	+	4.12261i	0.143622	+	0.210655i	0.891309	−	0.453396i	$-0.149788\pi$
$383$	2.81075	+	4.12261i	0.143622	+	0.210655i	−0.747687	+	0.664052i	$0.768835\pi$
$384$	5.90524	+	19.1443i	0.301351	+	0.976954i
$385$	12.2719	−	32.2966i	0.625435	−	1.64599i
$386$	−20.6661	+	19.1753i	−1.05188	+	0.975999i
$387$	−0.159544	+	0.699008i	−0.00811008	+	0.0355326i
$388$	−4.09757	+	27.1856i	−0.208022	+	1.38014i
$389$	19.2655	+	17.8757i	0.976797	+	0.906335i	0.995620	−	0.0934875i	$-0.0298015\pi$
$389$	19.2655	+	17.8757i	0.976797	+	0.906335i	−0.0188233	+	0.999823i	$0.505992\pi$
$390$	17.3141	−	28.5216i	0.876734	−	1.44425i
$391$	23.2172			1.17415
$392$	−9.61062	−	3.53269i	−0.485409	−	0.178428i
$393$	−6.18889	+	10.7195i	−0.312188	+	0.540726i
$394$	−1.86479	+	24.8839i	−0.0939467	+	1.25363i
$395$	17.3748	−	18.7256i	0.874222	−	0.942187i
$396$	3.44914	+	2.75060i	0.173326	+	0.138223i
$397$	21.1642	−	22.8096i	1.06220	−	1.14478i	0.0731326	−	0.997322i	$-0.476700\pi$
$397$	21.1642	−	22.8096i	1.06220	−	1.14478i	0.989068	−	0.147458i	$-0.0471091\pi$
$398$	−29.5226	+	6.73833i	−1.47983	+	0.337762i
$399$	8.07543	−	27.2276i	0.404277	−	1.36308i
$400$	−0.888286	−	0.824209i	−0.0444143	−	0.0412104i
$401$	−4.72855	+	9.81895i	−0.236133	+	0.490335i	−0.985037	−	0.172344i	$-0.944866\pi$
$401$	−4.72855	+	9.81895i	−0.236133	+	0.490335i	0.748904	+	0.662678i	$0.230580\pi$
$402$	−54.2145	−	16.7230i	−2.70397	−	0.834065i
$403$	9.56444	+	5.80612i	0.476439	+	0.289223i
$404$	−13.9213	+	35.4710i	−0.692613	+	1.76475i
$405$	23.0390	+	1.72653i	1.14482	+	0.0857920i
$406$	18.5566	−	10.9844i	0.920948	−	0.545146i
$407$	−3.23316	−	43.1435i	−0.160262	−	2.13855i
$408$	−11.7229	−	12.6342i	−0.580369	−	0.625488i
$409$	−6.57767	+	5.24551i	−0.325245	+	0.259374i	−0.772475	−	0.635045i	$-0.780982\pi$
$409$	−6.57767	+	5.24551i	−0.325245	+	0.259374i	0.447231	+	0.894419i	$0.352410\pi$
$410$		−	32.0263i		−	1.58167i
$411$	−7.33519	+	4.23497i	−0.361818	+	0.208896i
$412$	11.7314	−	29.8912i	0.577966	−	1.47263i
$413$	−0.296657	−	1.83274i	−0.0145975	−	0.0901833i
$414$	2.14258	−	0.840901i	0.105302	−	0.0413280i
$415$	14.2843	+	2.15301i	0.701187	+	0.105687i
$416$	−21.9681	+	16.7422i	−1.07707	+	0.820852i
$417$	−14.5307	+	9.90690i	−0.711574	+	0.485143i
$418$	55.3810	+	44.1649i	2.70877	+	2.16017i
$419$	12.7008	+	32.3612i	0.620476	+	1.58095i	0.801845	+	0.597533i	$0.203852\pi$
$419$	12.7008	+	32.3612i	0.620476	+	1.58095i	−0.181368	+	0.983415i	$0.558053\pi$
$420$	−4.19022	+	30.0110i	−0.204462	+	1.46439i
$421$	−6.39115	+	5.09677i	−0.311485	+	0.248401i	−0.766737	−	0.641962i	$-0.778121\pi$
$421$	−6.39115	+	5.09677i	−0.311485	+	0.248401i	0.455251	+	0.890363i	$0.349549\pi$
$422$	−12.3281	−	7.11763i	−0.600122	−	0.346481i
$423$		−	2.41072i		−	0.117213i
$424$	−0.793861	−	5.26693i	−0.0385533	−	0.255785i
$425$	3.43135	+	1.05843i	0.166445	+	0.0513415i
$426$	−0.790526	+	0.538972i	−0.0383011	+	0.0261133i
$427$	3.11399	+	36.2583i	0.150697	+	1.75466i
$428$	30.9705	−	14.9146i	1.49702	−	0.720926i
$429$	−11.4536	+	34.4252i	−0.552986	+	1.66207i
$430$	0.917935	−	12.2490i	0.0442667	−	0.590698i
$431$	−19.6258	−	21.1516i	−0.945344	−	1.01884i	−0.999793	−	0.0203218i	$-0.993531\pi$
$431$	−19.6258	−	21.1516i	−0.945344	−	1.01884i	0.0544497	−	0.998517i	$-0.482660\pi$
$432$	−9.68142	−	4.66233i	−0.465798	−	0.224316i
$433$	4.44389	−	1.37076i	0.213560	−	0.0658745i	−0.186129	−	0.982525i	$-0.559594\pi$
$433$	4.44389	−	1.37076i	0.213560	−	0.0658745i	0.399689	+	0.916651i	$0.369118\pi$
$434$	−17.5843	−	2.45517i	−0.844075	−	0.117852i
$435$	−10.9701	−	11.8230i	−0.525977	−	0.566869i
$436$	−8.71620	+	9.39383i	−0.417430	+	0.449883i
$437$	19.6892	−	7.72744i	0.941862	−	0.369654i
$438$	7.05715	−	30.9194i	0.337203	−	1.47738i
$439$	−18.4626	+	8.89112i	−0.881172	+	0.424350i	−0.819052	−	0.573719i	$-0.805500\pi$
$439$	−18.4626	+	8.89112i	−0.881172	+	0.424350i	−0.0621193	+	0.998069i	$0.519786\pi$
$440$	−16.5424	−	9.55073i	−0.788626	−	0.455313i
$441$	−1.85593	+	0.944026i	−0.0883778	+	0.0449536i
$442$	22.9479	−	45.0879i	1.09152	−	2.14461i
$443$	−13.6621	−	9.31465i	−0.649105	−	0.442553i	0.193488	−	0.981103i	$-0.438020\pi$
$443$	−13.6621	−	9.31465i	−0.649105	−	0.442553i	−0.842594	+	0.538550i	$0.818972\pi$
$444$	11.1847	+	36.2599i	0.530802	+	1.72082i
$445$	−12.2605	−	1.84797i	−0.581203	−	0.0876023i
$446$	29.7516	+	27.6054i	1.40878	+	1.30716i
$447$	7.30215	−	1.66667i	0.345380	−	0.0788307i
$448$	15.8170	−	28.0971i	0.747284	−	1.32746i
$449$	2.33096	+	7.55679i	0.110005	+	0.356627i	0.993791	−	0.111264i	$-0.0354900\pi$
$449$	2.33096	+	7.55679i	0.110005	+	0.356627i	−0.883786	+	0.467891i	$0.845014\pi$
$450$	0.354994	−	0.0266031i	0.0167346	−	0.00125408i
$451$	7.74916	+	33.9513i	0.364894	+	1.59870i
$452$	18.7742	+	12.8000i	0.883063	+	0.602062i
$453$	3.56299	−	2.84139i	0.167404	−	0.133500i
$454$	42.8739	−	20.6470i	2.01217	−	0.969011i
$455$	−21.9709	+	4.75838i	−1.03001	+	0.223076i
$456$	−14.1466	−	6.81263i	−0.662474	−	0.319030i
$457$	−32.9500	+	7.52061i	−1.54133	+	0.351800i	−0.906957	−	0.421224i	$-0.861601\pi$
$457$	−32.9500	+	7.52061i	−1.54133	+	0.351800i	−0.634378	+	0.773023i	$0.718744\pi$
$458$	13.4109	−	34.1705i	0.626652	−	1.59668i
$459$	31.8429			1.48630
$460$	−19.5445	+	11.2840i	−0.911267	+	0.526120i
$461$	−21.6829	−	8.50992i	−1.00987	−	0.396347i	−0.198015	−	0.980199i	$-0.563449\pi$
$461$	−21.6829	−	8.50992i	−1.00987	−	0.396347i	−0.811860	+	0.583852i	$0.801545\pi$
$462$	−4.92633	−	57.3605i	−0.229194	−	2.66865i
$463$	2.28915	+	1.82553i	0.106386	+	0.0848397i	0.675238	−	0.737600i	$-0.264041\pi$
$463$	2.28915	+	1.82553i	0.106386	+	0.0848397i	−0.568852	+	0.822440i	$0.692612\pi$
$464$	3.01501	+	7.68212i	0.139968	+	0.356633i
$465$	0.992379	+	13.2424i	0.0460205	+	0.614101i
$466$	23.0840	−	1.72991i	1.06935	−	0.0801365i
$467$	11.2055	+	1.68896i	0.518531	+	0.0781560i	0.403094	−	0.915159i	$-0.367935\pi$
$467$	11.2055	+	1.68896i	0.518531	+	0.0781560i	0.115437	+	0.993315i	$0.463173\pi$
$468$	0.277402	−	2.85706i	0.0128229	−	0.132067i
$469$	16.9590	+	34.2577i	0.783092	+	1.58187i
$470$	6.15549	+	40.8390i	0.283932	+	1.88376i
$471$	−2.63781			−0.121544
$472$	−1.02646			−0.0472466
$473$	1.99068	+	13.2073i	0.0915317	+	0.607273i
$474$	12.5467	−	40.6753i	0.576288	−	1.86828i
$475$	3.26221	−	0.244469i	0.149681	−	0.0112170i
$476$	−2.93520	+	45.8529i	−0.134535	+	2.10166i
$477$	−0.894947	−	0.610165i	−0.0409768	−	0.0279375i
$478$	−35.6947	−	44.7597i	−1.63264	−	2.04726i
$479$	1.01107	−	1.48296i	0.0461969	−	0.0677584i	−0.802445	−	0.596725i	$-0.796468\pi$
$479$	1.01107	−	1.48296i	0.0461969	−	0.0677584i	0.848642	+	0.528967i	$0.177421\pi$
$480$	−31.3253	−	9.66257i	−1.42980	−	0.441034i
$481$	−22.3898	+	17.0635i	−1.02089	+	0.778030i
$482$	−9.18193	+	40.2287i	−0.418225	+	1.83237i
$483$	−15.5686	−	7.28999i	−0.708398	−	0.331706i
$484$	50.3989	+	15.5460i	2.29086	+	0.706637i
$485$	−17.7450	−	16.4650i	−0.805760	−	0.747636i
$486$	6.20063	−	2.43357i	0.281266	−	0.110389i
$487$	36.2067	+	8.26395i	1.64068	+	0.374475i	0.940581	−	0.339568i	$-0.110281\pi$
$487$	36.2067	+	8.26395i	1.64068	+	0.374475i	0.700101	+	0.714043i	$0.253138\pi$
$488$	20.0637	+	1.50357i	0.908242	+	0.0680633i
$489$		−	11.0417i		−	0.499322i
$490$	29.0301	−	20.7313i	1.31145	−	0.936544i
$491$	13.5386	−	23.4495i	0.610989	−	1.05826i	−0.380086	−	0.924951i	$-0.624105\pi$
$491$	13.5386	−	23.4495i	0.610989	−	1.05826i	0.991074	−	0.133312i	$-0.0425612\pi$
$492$	−13.2522	−	27.5185i	−0.597456	−	1.24063i
$493$	−17.9270	−	16.6339i	−0.807393	−	0.749151i
$494$	4.45409	−	45.8742i	0.200399	−	2.06398i
$495$	−3.71182	+	1.14495i	−0.166834	+	0.0514615i
$496$	2.00282	−	6.49298i	0.0899292	−	0.291543i
$497$	0.629994	+	0.136602i	0.0282591	+	0.00612745i
$498$	23.0020	−	7.09519i	1.03075	−	0.317943i
$499$	7.01335	−	0.525578i	0.313961	−	0.0235281i	0.0831821	−	0.996534i	$-0.473492\pi$
$499$	7.01335	−	0.525578i	0.313961	−	0.0235281i	0.230779	+	0.973006i	$0.425873\pi$
$500$	27.3422	−	6.24068i	1.22278	−	0.279092i
$501$	−13.5118	−	28.0575i	−0.603662	−	1.25352i
$502$	−27.7108	−	10.8757i	−1.23679	−	0.485405i
$503$	17.2209	+	11.7410i	0.767842	+	0.523506i	0.882735	−	0.469872i	$-0.155700\pi$
$503$	17.2209	+	11.7410i	0.767842	+	0.523506i	−0.114892	+	0.993378i	$0.536652\pi$
$504$	0.351265	+	1.09631i	0.0156466	+	0.0488333i
$505$	−18.9001	−	27.7213i	−0.841042	−	1.23358i
$506$	31.4314	−	29.1641i	1.39730	−	1.29650i
$507$	22.8419	−	5.95965i	1.01445	−	0.264677i
$508$	5.96500	−	10.3317i	0.264654	−	0.458394i
$509$			10.1530i			0.450024i	0.974356	+	0.225012i	$0.0722421\pi$
$509$			10.1530i			0.450024i	−0.974356	+	0.225012i	$0.927758\pi$
$510$	59.3745	−	8.94927i	2.62915	−	0.396280i
$511$	−18.3878	+	10.8845i	−0.813430	+	0.481502i
$512$	18.1224	+	14.4522i	0.800906	+	0.638701i
$513$	27.0041	−	10.5983i	1.19226	−	0.467928i
$514$	6.78908	−	14.0977i	0.299453	−	0.621822i
$515$	15.9270	+	23.3606i	0.701826	+	1.02939i
$516$	−4.27979	−	10.9047i	−0.188407	−	0.480053i
$517$	−16.4070	−	41.8042i	−0.721577	−	1.83855i
$518$	21.9135	−	38.9267i	0.962823	−	1.71034i
$519$	−2.17939	−	2.73287i	−0.0956647	−	0.119960i
$520$	0.656047	+	12.4114i	0.0287696	+	0.544274i
$521$	21.3850	−	37.0398i	0.936892	−	1.62274i	0.165667	−	0.986182i	$-0.447022\pi$
$521$	21.3850	−	37.0398i	0.936892	−	1.62274i	0.771225	−	0.636562i	$-0.219644\pi$
$522$	−2.25684	−	0.885743i	−0.0987791	−	0.0387679i
$523$	3.29514	+	14.4370i	0.144087	+	0.631285i	0.994461	+	0.105106i	$0.0335183\pi$
$523$	3.29514	+	14.4370i	0.144087	+	0.631285i	−0.850374	+	0.526178i	$0.823625\pi$
$524$	−1.36334	−	18.1925i	−0.0595576	−	0.794741i
$525$	−1.96860	−	1.78716i	−0.0859169	−	0.0779980i
$526$	24.1911	−	35.4818i	1.05478	−	1.54708i
$527$	3.00105	+	19.9107i	0.130728	+	0.867322i
$528$	21.9712	+	1.64652i	0.956175	+	0.0716554i
$529$	2.26900	+	9.94114i	0.0986522	+	0.432223i
$530$	16.7189	+	8.05141i	0.726224	+	0.349731i
$531$	−0.141977	+	0.153015i	−0.00616127	+	0.00664027i
$532$	12.7721	+	39.8621i	0.553742	+	1.72824i
$533$	15.7736	−	16.2674i	0.683230	−	0.704618i
$534$	−19.7431	+	6.08995i	−0.854369	+	0.263538i
$535$	−4.51101	+	29.9286i	−0.195028	+	1.29393i
$536$	20.1949	−	6.22931i	0.872288	−	0.269065i
$537$	2.94464	−	39.2936i	0.127071	−	1.69564i
$538$		−	26.6680i		−	1.14974i
$539$	−25.7588	+	29.0015i	−1.10951	+	1.24918i
$540$	−26.8057	+	15.4763i	−1.15353	+	0.665992i
$541$	6.18826	−	9.07651i	0.266054	−	0.390230i	−0.669843	−	0.742502i	$-0.733639\pi$
$541$	6.18826	−	9.07651i	0.266054	−	0.390230i	0.935897	+	0.352273i	$0.114591\pi$
$542$	−13.2557	+	58.0770i	−0.569381	+	2.49462i
$543$	7.69443	+	1.15975i	0.330199	+	0.0497696i
$544$	−48.4602	−	11.0607i	−2.07771	−	0.474224i
$545$	−2.51076	−	11.0003i	−0.107549	−	0.471203i
$546$	−29.5452	+	23.0289i	−1.26442	+	0.985545i
$547$	−2.63688	+	11.5529i	−0.112745	+	0.493968i	0.886752	+	0.462246i	$0.152956\pi$
$547$	−2.63688	+	11.5529i	−0.112745	+	0.493968i	−0.999497	+	0.0317219i	$0.989901\pi$
$548$	5.41650	−	11.2475i	0.231381	−	0.480468i
$549$	2.99929	−	2.78294i	0.128007	−	0.118773i
$550$	5.97489	−	2.87736i	0.254770	−	0.122691i
$551$	−20.7392	−	8.13952i	−0.883518	−	0.346755i
$552$	−5.35399	+	7.85287i	−0.227881	+	0.334240i
$553$	−25.7024	+	12.7237i	−1.09298	+	0.541069i
$554$	−18.0275	+	37.4345i	−0.765915	+	1.59044i
$555$	−31.9266	−	9.84805i	−1.35521	−	0.418026i
$556$	9.46990	−	24.1289i	0.401613	−	1.02329i
$557$	−27.2522	+	15.7340i	−1.15471	+	0.666673i	−0.950031	−	0.312156i	$-0.898949\pi$
$557$	−27.2522	+	15.7340i	−1.15471	+	0.666673i	−0.204680	+	0.978829i	$0.565615\pi$
$558$	0.998089	+	1.72874i	0.0422525	+	0.0731835i
$559$	6.49912	−	5.76961i	0.274883	−	0.244029i
$560$	6.05678	+	12.2349i	0.255946	+	0.517019i
$561$	−60.7778	+	23.8535i	−2.56604	+	1.00710i
$562$	−20.9219	+	26.2353i	−0.882538	+	1.10667i
$563$	4.02820	+	1.93988i	0.169769	+	0.0817562i	0.516838	−	0.856083i	$-0.327109\pi$
$563$	4.02820	+	1.93988i	0.169769	+	0.0817562i	−0.347070	+	0.937839i	$0.612823\pi$
$564$	22.1879	+	32.5437i	0.934279	+	1.37033i
$565$	−18.6240	+	7.30937i	−0.783516	+	0.307507i
$566$	1.03548	−	6.86998i	0.0435246	−	0.288767i
$567$	−23.4909	−	10.9996i	−0.986527	−	0.461940i
$568$	0.130207	−	0.331763i	0.00546339	−	0.0139205i
$569$	24.2453			1.01642			0.508209	−	0.861234i	$-0.330308\pi$
$569$	24.2453			1.01642			0.508209	+	0.861234i	$0.330308\pi$
$570$	47.3735	−	27.3511i	1.98426	−	1.14561i
$571$	22.4274	−	3.38039i	0.938559	−	0.141465i	0.338091	−	0.941114i	$-0.390219\pi$
$571$	22.4274	−	3.38039i	0.938559	−	0.141465i	0.600468	+	0.799649i	$0.294981\pi$
$572$	−14.6342	−	51.4321i	−0.611888	−	2.15048i
$573$	35.5994	+	17.1438i	1.48719	+	0.716191i
$574$	−12.7716	+	33.6117i	−0.533078	+	1.40293i
$575$	0.147981	−	1.97467i	0.00617123	−	0.0823493i
$576$	−3.58460	+	0.540292i	−0.149359	+	0.0225122i
$577$	−19.1836	−	1.43762i	−0.798625	−	0.0598487i	−0.330836	−	0.943688i	$-0.607331\pi$
$577$	−19.1836	−	1.43762i	−0.798625	−	0.0598487i	−0.467790	+	0.883840i	$0.654950\pi$
$578$	52.9221	−	12.0791i	2.20127	−	0.502426i
$579$	−13.3356	−	19.5597i	−0.554208	−	0.812874i
$580$	23.1755	+	5.28966i	0.962311	+	0.219641i
$581$	−14.1328	−	7.95594i	−0.586327	−	0.330068i
$582$	−38.5454	−	11.8897i	−1.59776	−	0.492843i
$583$	−19.6719	−	4.48999i	−0.814729	−	0.185956i
$584$	4.31602	+	10.9970i	0.178598	+	0.455061i
$585$	1.94091	+	1.61891i	0.0802467	+	0.0669335i
$586$	6.84238	+	4.66506i	0.282656	+	0.192712i
$587$	−13.8706	−	8.00822i	−0.572503	−	0.330534i	0.185646	−	0.982617i	$-0.440562\pi$
$587$	−13.8706	−	8.00822i	−0.572503	−	0.330534i	−0.758148	+	0.652082i	$0.773896\pi$
$588$	16.3656	−	29.8257i	0.674906	−	1.22999i
$589$	9.17192	+	15.8862i	0.377922	+	0.654581i
$590$	2.01447	−	2.95468i	0.0829343	−	0.121642i
$591$	−20.4286	−	4.66271i	−0.840322	−	0.191798i
$592$	13.3659	+	10.6590i	0.549337	+	0.438081i
$593$	5.20235	+	16.8656i	0.213635	+	0.692587i	0.997435	+	0.0715742i	$0.0228023\pi$
$593$	5.20235	+	16.8656i	0.213635	+	0.692587i	−0.783801	+	0.621013i	$0.786722\pi$
$594$	43.1088	−	39.9992i	1.76878	−	1.64119i
$595$	−31.9020	−	24.8783i	−1.30785	−	1.01991i
$596$	−7.50865	+	8.09241i	−0.307566	+	0.331478i
$597$	−1.90025	−	25.3570i	−0.0777719	−	1.03779i
$598$	−27.0564	−	6.80468i	−1.10642	−	0.278264i
$599$	0.298732	−	3.98630i	0.0122058	−	0.162876i	−0.987770	−	0.155918i	$-0.950166\pi$
$599$	0.298732	−	3.98630i	0.0122058	−	0.162876i	0.999976	−	0.00695733i	$-0.00221461\pi$
$600$	−1.14928	+	0.916523i	−0.0469193	+	0.0374169i
$601$	−0.199824	+	2.66647i	−0.00815101	+	0.108768i	−0.999795	−	0.0202351i	$-0.993559\pi$
$601$	−0.199824	+	2.66647i	−0.00815101	+	0.108768i	0.991644	+	0.129003i	$0.0411776\pi$
$602$	−5.84809	+	12.4893i	−0.238350	+	0.509025i
$603$	1.86470	−	3.87209i	0.0759364	−	0.157684i
$604$	−1.97983	+	6.41844i	−0.0805580	+	0.261163i
$605$	−36.3075	+	28.9543i	−1.47611	+	1.17716i
$606$	−48.4179	−	27.9541i	−1.96684	−	1.13556i
$607$	15.8271	−	27.4134i	0.642403	−	1.11268i	−0.342491	−	0.939521i	$-0.611271\pi$
$607$	15.8271	−	27.4134i	0.642403	−	1.11268i	0.984895	−	0.173154i	$-0.0553960\pi$
$608$	−44.7776	+	6.74914i	−1.81597	+	0.273714i
$609$	6.79835	+	16.7830i	0.275483	+	0.680081i
$610$	−43.7039	+	54.8029i	−1.76952	+	2.21891i
$611$	−16.9874	+	23.7754i	−0.687237	+	0.961848i
$612$	4.26817	−	2.90999i	0.172530	−	0.117629i
$613$	−16.7386	+	1.25438i	−0.676066	+	0.0506641i	−0.408338	−	0.912831i	$-0.633892\pi$
$613$	−16.7386	+	1.25438i	−0.676066	+	0.0506641i	−0.267727	+	0.963495i	$0.586273\pi$
$614$	29.2733	−	36.7076i	1.18137	−	1.48140i
$615$	26.5927	+	4.00820i	1.07232	+	0.161626i
$616$	13.5526	+	16.6204i	0.546048	+	0.669654i
$617$	−25.2596	−	9.91366i	−1.01691	−	0.399109i	−0.202430	−	0.979297i	$-0.564884\pi$
$617$	−25.2596	−	9.91366i	−1.01691	−	0.399109i	−0.814483	+	0.580188i	$0.802979\pi$
$618$	40.8014	+	23.5567i	1.64127	+	0.947589i
$619$	−29.9607	−	17.2978i	−1.20422	−	0.695258i	−0.242731	−	0.970094i	$-0.578043\pi$
$619$	−29.9607	−	17.2978i	−1.20422	−	0.695258i	−0.961491	+	0.274836i	$0.911377\pi$
$620$	−12.2033	−	15.3024i	−0.490095	−	0.614560i
$621$	−3.90744	−	17.1196i	−0.156800	−	0.686986i
$622$	−18.0248	−	26.4375i	−0.722727	−	1.06005i
$623$	12.1305	+	6.82875i	0.485997	+	0.273588i
$624$	−6.89329	−	12.5700i	−0.275952	−	0.503202i
$625$	−10.0326	+	25.5625i	−0.401302	+	1.02250i
$626$	−3.69801	+	5.42398i	−0.147802	+	0.216786i
$627$	−43.6029	+	40.4576i	−1.74133	+	1.61572i
$628$	3.21229	−	2.19010i	0.128184	−	0.0873945i
$629$	−49.3904	−	11.2730i	−1.96932	−	0.449485i
$630$	−3.84511	−	1.14042i	−0.153193	−	0.0454355i
$631$	18.4491	+	19.8834i	0.734447	+	0.791546i	0.984256	−	0.176749i	$-0.0565582\pi$
$631$	18.4491	+	19.8834i	0.734447	+	0.791546i	−0.249809	+	0.968295i	$0.580368\pi$
$632$	4.67365	+	15.1516i	0.185908	+	0.602698i
$633$	7.45294	−	9.34570i	0.296228	−	0.371458i
$634$	−9.55996	+	2.94886i	−0.379675	+	0.117114i
$635$	4.55763	+	9.46402i	0.180864	+	0.375568i
$636$	17.6973			0.701742
$637$	24.9560	+	3.76772i	0.988795	+	0.149283i
$638$	−45.1640			−1.78806
$639$	−0.0314462	−	0.0652986i	−0.00124399	−	0.00258317i
$640$	24.8445	−	7.66351i	0.982065	−	0.302927i
$641$	−1.01414	+	1.27169i	−0.0400560	+	0.0502286i	−0.801456	−	0.598054i	$-0.795941\pi$
$641$	−1.01414	+	1.27169i	−0.0400560	+	0.0502286i	0.761400	+	0.648282i	$0.224512\pi$
$642$	14.8659	+	48.1942i	0.586712	+	1.90207i
$643$	−0.0168931	−	0.0182065i	−0.000666200	−	0.000717993i	0.732719	−	0.680532i	$-0.238251\pi$
$643$	−0.0168931	−	0.0182065i	−0.000666200	−	0.000717993i	−0.733385	+	0.679814i	$0.762061\pi$
$644$	25.0119	−	4.04855i	0.985607	−	0.159535i
$645$	10.0559	+	2.29520i	0.395951	+	0.0903733i
$646$	68.5317	−	46.7241i	2.69634	−	1.83834i
$647$	4.11797	−	3.82092i	0.161894	−	0.150216i	−0.595066	−	0.803677i	$-0.702874\pi$
$647$	4.11797	−	3.82092i	0.161894	−	0.150216i	0.756960	+	0.653461i	$0.226684\pi$
$648$	−8.07844	+	11.8489i	−0.317351	+	0.465469i
$649$	−1.42063	+	3.61970i	−0.0557645	+	0.142086i
$650$	−3.68854	−	2.23914i	−0.144676	−	0.0878262i
$651$	4.23936	−	14.2937i	0.166154	−	0.560213i
$652$	9.16758	+	13.4464i	0.359030	+	0.526601i
$653$	−6.15421	−	26.9634i	−0.240833	−	1.05516i	−0.940261	−	0.340455i	$-0.889419\pi$
$653$	−6.15421	−	26.9634i	−0.240833	−	1.05516i	0.699428	−	0.714703i	$-0.253438\pi$
$654$	−11.7228	−	14.6999i	−0.458396	−	0.574810i
$655$	13.9112	+	8.03162i	0.543555	+	0.313821i
$656$	−11.9171	−	6.88031i	−0.465283	−	0.268631i
$657$	2.23631	+	0.877688i	0.0872469	+	0.0342419i
$658$	9.82579	−	45.3154i	0.383049	−	1.76658i
$659$	7.47439	+	1.12658i	0.291161	+	0.0438854i	0.292999	−	0.956113i	$-0.405347\pi$
$659$	7.47439	+	1.12658i	0.291161	+	0.0438854i	−0.00183771	+	0.999998i	$0.500585\pi$
$660$	39.5701	−	49.6193i	1.54026	−	1.93143i
$661$	−4.97270	+	0.372652i	−0.193416	+	0.0144945i	−0.171086	−	0.985256i	$-0.554727\pi$
$661$	−4.97270	+	0.372652i	−0.193416	+	0.0144945i	−0.0223299	+	0.999751i	$0.507108\pi$
$662$	23.9729	−	16.3445i	0.931734	−	0.635245i
$663$	34.5662	+	24.6974i	1.34244	+	0.959169i
$664$	−5.59061	+	7.01040i	−0.216958	+	0.272056i
$665$	−35.3345	−	10.4799i	−1.37021	−	0.406392i
$666$	−4.96624	+	0.748540i	−0.192438	+	0.0290053i
$667$	−6.74298	+	11.6792i	−0.261089	+	0.452220i
$668$	39.7498	+	22.9495i	1.53797	+	0.887945i
$669$	−26.6454	+	21.2490i	−1.03017	+	0.821533i
$670$	−21.7022	+	70.3567i	−0.838428	+	2.71812i
$671$	33.0705	−	68.6715i	1.27667	−	2.65104i
$672$	29.0227	+	22.6329i	1.11957	+	0.873085i
$673$	−1.44110	+	19.2302i	−0.0555504	+	0.741268i	0.897993	+	0.440011i	$0.145025\pi$
$673$	−1.44110	+	19.2302i	−0.0555504	+	0.741268i	−0.953543	+	0.301257i	$0.902594\pi$
$674$	29.0774	−	23.1884i	1.12002	−	0.893185i
$675$	0.202959	−	2.70830i	0.00781189	−	0.104242i
$676$	−22.8684	+	26.2225i	−0.879554	+	1.00856i
$677$	0.701787	+	9.36470i	0.0269719	+	0.359915i	0.994318	+	0.106454i	$0.0339498\pi$
$677$	0.701787	+	9.36470i	0.0269719	+	0.359915i	−0.967346	+	0.253461i	$0.918431\pi$
$678$	−22.6760	+	24.4390i	−0.870868	+	0.938572i
$679$	12.0575	+	24.3565i	0.462723	+	0.934717i
$680$	−16.3961	+	15.2133i	−0.628760	+	0.583404i
$681$	11.7782	+	38.1839i	0.451340	+	1.46321i
$682$	29.0734	+	23.1852i	1.11328	+	0.887809i
$683$	−22.0605	−	5.03515i	−0.844120	−	0.192665i	−0.221472	−	0.975167i	$-0.571086\pi$
$683$	−22.0605	−	5.03515i	−0.844120	−	0.192665i	−0.622648	+	0.782502i	$0.713943\pi$
$684$	2.65105	−	3.88837i	0.101365	−	0.148676i
$685$	5.49592	+	9.51922i	0.209988	+	0.363711i
$686$	−38.7345	+	10.1807i	−1.47889	+	0.388702i
$687$	26.6946	+	15.4122i	1.01846	+	0.588011i
$688$	−4.36066	−	2.97305i	−0.166249	−	0.113346i
$689$	4.52669	+	12.3240i	0.172453	+	0.469507i
$690$	−12.0972	−	30.8231i	−0.460532	−	1.17342i
$691$	26.6405	+	6.08052i	1.01345	+	0.231314i	0.696829	−	0.717237i	$-0.254594\pi$
$691$	26.6405	+	6.08052i	1.01345	+	0.231314i	0.316624	+	0.948551i	$0.397451\pi$
$692$	4.92305	+	1.51856i	0.187146	+	0.0577270i
$693$	4.35215	+	0.278596i	0.165325	+	0.0105830i
$694$	72.7110	+	16.5958i	2.76007	+	0.629969i
$695$	12.8566	+	18.8572i	0.487680	+	0.715296i
$696$	9.76019	−	2.22770i	0.369959	−	0.0844408i
$697$	40.6636	+	3.04732i	1.54024	+	0.115425i
$698$	31.9525	−	4.81607i	1.20942	−	0.182291i
$699$	−1.45264	+	19.3841i	−0.0549437	+	0.733173i
$700$	3.88116	+	0.541898i	0.146694	+	0.0204818i
$701$	6.66388	+	3.20916i	0.251691	+	0.121208i	0.555476	−	0.831533i	$-0.312536\pi$
$701$	6.66388	+	3.20916i	0.251691	+	0.121208i	−0.303785	+	0.952741i	$0.598250\pi$
$702$	−37.1084	−	9.33276i	−1.40057	−	0.352242i
$703$	−45.6372	+	6.87869i	−1.72124	+	0.259435i
$704$	−58.4834	+	33.7654i	−2.20418	+	1.27258i
$705$	−34.6806			−1.30615
$706$	−16.1788	+	41.2230i	−0.608899	+	1.55145i
$707$	8.78083	+	36.6307i	0.330237	+	1.37764i
$708$	0.508302	−	3.37236i	0.0191032	−	0.126741i
$709$	36.4665	−	14.3120i	1.36953	−	0.537500i	0.437281	−	0.899325i	$-0.355942\pi$
$709$	36.4665	−	14.3120i	1.36953	−	0.537500i	0.932246	+	0.361826i	$0.117846\pi$
$710$	0.699449	+	1.02590i	0.0262499	+	0.0385015i
$711$	2.90510	+	1.39902i	0.108950	+	0.0524674i
$712$	4.79854	−	6.01717i	0.179833	−	0.225503i
$713$	10.3362	−	4.05667i	0.387095	−	0.151924i
$714$	−65.8825	−	14.2854i	−2.46559	−	0.534617i
$715$	44.6753	+	14.8639i	1.67076	+	0.555879i
$716$	29.0383	+	50.2959i	1.08521	+	1.87965i
$717$	41.6330	−	24.0368i	1.55481	−	0.897671i
$718$	3.02000	−	7.69484i	0.112705	−	0.287169i
$719$	14.3052	+	4.41258i	0.533495	+	0.164561i	0.549786	−	0.835306i	$-0.314709\pi$
$719$	14.3052	+	4.41258i	0.533495	+	0.164561i	−0.0162903	+	0.999867i	$0.505186\pi$
$720$	0.665965	−	1.38289i	0.0248190	−	0.0515373i
$721$	−7.39955	−	30.8684i	−0.275573	−	1.14960i
$722$	19.4210	−	28.4854i	0.722775	−	1.06012i
$723$	−32.2543	−	12.6589i	−1.19955	−	0.470788i
$724$	−10.3331	+	4.97613i	−0.384025	+	0.184937i
$725$	−1.52900	+	1.41871i	−0.0567857	+	0.0526894i
$726$	−33.5755	+	69.7203i	−1.24611	+	2.58756i
$727$	4.02987	−	17.6560i	0.149460	−	0.654825i	−0.843576	−	0.537010i	$-0.819554\pi$
$727$	4.02987	−	17.6560i	0.149460	−	0.654825i	0.993036	−	0.117815i	$-0.0375891\pi$
$728$	4.26094	−	13.2874i	0.157921	−	0.492463i
$729$	−5.30006	−	23.2211i	−0.196299	−	0.860041i
$730$	−40.1255	−	9.15839i	−1.48511	−	0.338967i
$731$	15.4651	+	2.33099i	0.571997	+	0.0862147i
$732$	−14.8754	+	65.1734i	−0.549811	+	2.40888i
$733$	−10.8773	+	15.9540i	−0.401761	+	0.589275i	−0.972800	−	0.231648i	$-0.925588\pi$
$733$	−10.8773	+	15.9540i	−0.401761	+	0.589275i	0.571039	+	0.820923i	$0.306541\pi$
$734$	13.7746	−	7.95275i	0.508428	−	0.293541i
$735$	13.5808	+	26.6994i	0.500934	+	0.984823i
$736$			27.4107i			1.01037i
$737$	5.98293	−	79.8366i	0.220384	−	2.94082i
$738$	3.86297	−	1.19157i	0.142198	−	0.0438622i
$739$	2.24051	−	14.8648i	0.0824186	−	0.546812i	−0.909073	−	0.416638i	$-0.863208\pi$
$739$	2.24051	−	14.8648i	0.0824186	−	0.546812i	0.991491	−	0.130174i	$-0.0415536\pi$
$740$	47.0562	−	14.5149i	1.72982	−	0.533579i
$741$	37.5337	+	9.43972i	1.37883	+	0.346777i
$742$	−14.3358	−	15.1172i	−0.526283	−	0.554971i
$743$	20.4899	−	22.0829i	0.751703	−	0.810143i	−0.235117	−	0.971967i	$-0.575547\pi$
$743$	20.4899	−	22.0829i	0.751703	−	0.810143i	0.986820	+	0.161824i	$0.0517377\pi$
$744$	−7.42652	−	3.57643i	−0.272270	−	0.131118i
$745$	−2.16292	−	9.47635i	−0.0792431	−	0.347187i
$746$	−8.10702	−	0.607537i	−0.296819	−	0.0222435i
$747$	0.271766	+	1.80305i	0.00994341	+	0.0659702i
$748$	54.2093	−	79.5105i	1.98209	−	2.90719i
$749$	16.6694	−	29.6112i	0.609087	−	1.08197i
$750$	3.07503	+	41.0334i	0.112284	+	1.49833i
$751$	5.80089	+	25.4154i	0.211677	+	0.927420i	0.963427	+	0.267971i	$0.0863531\pi$
$751$	5.80089	+	25.4154i	0.211677	+	0.927420i	−0.751750	+	0.659449i	$0.770790\pi$
$752$	16.5187	+	6.48310i	0.602374	+	0.236414i
$753$	12.4986	−	21.6482i	0.455474	−	0.788903i
$754$	16.0162	+	24.6386i	0.583277	+	0.897284i
$755$	−3.68740	−	4.62386i	−0.134198	−	0.168279i
$756$	34.3043	−	5.55268i	1.24764	−	0.201949i
$757$	−18.0523	−	45.9966i	−0.656123	−	1.67177i	−0.737719	−	0.675108i	$-0.764097\pi$
$757$	−18.0523	−	45.9966i	−0.656123	−	1.67177i	0.0815960	−	0.996665i	$-0.473998\pi$
$758$	−15.0064	−	38.2356i	−0.545055	−	1.38878i
$759$	20.2823	+	29.7487i	0.736201	+	1.07981i
$760$	−8.84107	+	18.3587i	−0.320699	+	0.665939i
$761$	−25.0610	+	9.83573i	−0.908462	+	0.356545i	−0.773124	−	0.634254i	$-0.781307\pi$
$761$	−25.0610	+	9.83573i	−0.908462	+	0.356545i	−0.135338	+	0.990800i	$0.543212\pi$
$762$	13.6850	+	10.9134i	0.495756	+	0.395352i
$763$	−1.75173	+	12.5461i	−0.0634168	+	0.454201i
$764$	−57.5863	+	8.67974i	−2.08340	+	0.314022i
$765$			4.54843i			0.164449i
$766$	5.39502	−	9.34445i	0.194930	−	0.337629i
$767$	2.47846	−	0.508628i	0.0894921	−	0.0183655i
$768$	−0.685628	+	0.636170i	−0.0247405	+	0.0229558i
$769$	−11.6942	−	17.1522i	−0.421702	−	0.618523i	0.555326	−	0.831633i	$-0.312593\pi$
$769$	−11.6942	−	17.1522i	−0.421702	−	0.618523i	−0.977028	+	0.213109i	$0.931641\pi$
$770$	−74.4394	+	6.39313i	−2.68261	+	0.230393i
$771$	10.8562	+	7.40160i	0.390975	+	0.266562i
$772$	32.4797	+	12.7473i	1.16897	+	0.458787i
$773$	−7.40248	−	15.3714i	−0.266249	−	0.552871i	0.724389	−	0.689392i	$-0.242122\pi$
$773$	−7.40248	−	15.3714i	−0.266249	−	0.552871i	−0.990637	+	0.136521i	$0.956408\pi$
$774$	1.51161	−	0.345014i	0.0543336	−	0.0124013i
$775$	1.71256	−	0.128339i	0.0615171	−	0.00461007i
$776$	14.3582	−	4.42891i	0.515429	−	0.158989i
$777$	29.5798	+	23.0674i	1.06117	+	0.827538i
$778$	16.7518	−	54.3082i	0.600583	−	1.94704i
$779$	35.4987	−	10.9499i	1.27187	−	0.392321i
$780$	−41.1016	−	3.99070i	−1.47167	−	0.142890i
$781$	−0.989719	−	0.918325i	−0.0354149	−	0.0328602i
$782$	−21.7842	−	45.2353i	−0.779000	−	1.61761i
$783$	−9.24814	+	16.0182i	−0.330501	+	0.572445i
$784$	−1.47751	−	15.2559i	−0.0527682	−	0.544854i
$785$			3.42322i			0.122180i
$786$	26.6922	+	2.00030i	0.952078	+	0.0713484i
$787$	0.508023	+	0.115953i	0.0181091	+	0.00413328i	0.231566	−	0.972819i	$-0.425615\pi$
$787$	0.508023	+	0.115953i	0.0181091	+	0.00413328i	−0.213457	+	0.976953i	$0.568472\pi$
$788$	28.7490	−	11.2831i	1.02414	−	0.401945i
$789$	26.4343	+	24.5274i	0.941085	+	0.873199i
$790$	−52.7863	−	16.2824i	−1.87805	−	0.579303i
$791$	22.4608	−	0.244240i	0.798613	−	0.00868417i
$792$	0.536522	−	2.35066i	0.0190645	−	0.0835270i
$793$	−49.1903	+	6.31144i	−1.74680	+	0.224126i
$794$	−64.2989	−	19.8336i	−2.28188	−	0.703867i
$795$	−8.77782	+	12.8747i	−0.311317	+	0.456619i
$796$	23.3673	+	29.3017i	0.828232	+	1.03857i
$797$	21.0288	+	14.3372i	0.744880	+	0.507850i	0.875283	−	0.483611i	$-0.160675\pi$
$797$	21.0288	+	14.3372i	0.744880	+	0.507850i	−0.130403	+	0.991461i	$0.541627\pi$
$798$	−60.6258	+	9.81320i	−2.14613	+	0.347383i
$799$	−52.4387	+	3.92974i	−1.85515	+	0.139024i
$800$	−1.24961	+	4.05112i	−0.0441802	+	0.143229i
$801$	−0.233263	−	1.54760i	−0.00824194	−	0.0546817i
$802$	23.5674			0.832194
$803$	44.7533			1.57931
$804$	10.4655	+	69.4339i	0.369089	+	2.44874i
$805$	−9.46057	+	20.2042i	−0.333441	+	0.712103i
$806$	2.33827	−	24.0826i	0.0823619	−	0.848273i
$807$	22.1435	+	3.33759i	0.779487	+	0.117489i
$808$	20.7676	−	1.55631i	0.730601	−	0.0547510i
$809$	−3.46684	−	46.2618i	−0.121888	−	1.62648i	−0.638055	−	0.769991i	$-0.720261\pi$
$809$	−3.46684	−	46.2618i	−0.121888	−	1.62648i	0.516167	−	0.856488i	$-0.327358\pi$
$810$	−18.2530	−	46.5079i	−0.641345	−	1.63412i
$811$	−10.7052	−	8.53715i	−0.375912	−	0.299780i	0.417249	−	0.908792i	$-0.362994\pi$
$811$	−10.7052	−	8.53715i	−0.375912	−	0.299780i	−0.793161	+	0.609013i	$0.791566\pi$
$812$	−22.2133	−	14.7936i	−0.779535	−	0.519152i
$813$	−46.5646	−	18.2752i	−1.63309	−	0.640941i
$814$	−81.0250	+	46.7798i	−2.83993	+	1.63963i
$815$	−14.3293			−0.501934
$816$	9.42556	−	24.0159i	0.329961	−	0.840726i
$817$	13.8909	−	3.17050i	0.485980	−	0.110922i
$818$	16.3917	+	7.89385i	0.573124	+	0.276002i
$819$	−1.39139	−	2.47305i	−0.0486192	−	0.0864154i
$820$	−35.7120	+	17.1980i	−1.24712	+	0.600581i
$821$	−18.5470	+	14.7908i	−0.647296	+	0.516201i	−0.891207	−	0.453596i	$-0.850141\pi$
$821$	−18.5470	+	14.7908i	−0.647296	+	0.516201i	0.243912	+	0.969797i	$0.421569\pi$
$822$	15.1336	+	10.3179i	0.527846	+	0.359879i
$823$	8.76241	+	38.3906i	0.305438	+	1.33821i	0.861790	+	0.507265i	$0.169344\pi$
$823$	8.76241	+	38.3906i	0.305438	+	1.33821i	−0.556352	+	0.830947i	$0.687799\pi$
$824$	−17.5007	+	1.31150i	−0.609666	+	0.0456881i
$825$	1.64140	+	5.32129i	0.0571463	+	0.185264i
$826$	−3.29247	+	2.29761i	−0.114560	+	0.0799440i
$827$	−4.15413	+	0.948153i	−0.144453	+	0.0329705i	−0.294136	−	0.955764i	$-0.595032\pi$
$827$	−4.15413	+	0.948153i	−0.144453	+	0.0329705i	0.149683	+	0.988734i	$0.452175\pi$
$828$	−2.08823	−	1.93760i	−0.0725711	−	0.0673361i
$829$	−11.6167	−	1.75094i	−0.403465	−	0.0608125i	−0.0558247	−	0.998441i	$-0.517779\pi$
$829$	−11.6167	−	1.75094i	−0.403465	−	0.0608125i	−0.347640	+	0.937628i	$0.613017\pi$
$830$	−9.20777	−	29.8508i	−0.319606	−	1.03614i
$831$	−28.8271	−	19.6540i	−1.00000	−	0.681789i
$832$	39.1599	+	19.9308i	1.35762	+	0.690975i
$833$	23.5601	+	38.8319i	0.816309	+	1.34545i
$834$	32.9359	+	19.0156i	1.14048	+	0.658455i
$835$	−36.4116	+	17.5349i	−1.26007	+	0.606820i
$836$	19.5082	−	85.4708i	0.674704	−	2.95607i
$837$	14.1764	−	5.56381i	0.490007	−	0.192314i
$838$	51.1340	−	55.1093i	1.76639	−	1.90372i
$839$	24.0886	+	25.9613i	0.831629	+	0.896283i	0.995930	−	0.0901271i	$-0.0287273\pi$
$839$	24.0886	+	25.9613i	0.831629	+	0.896283i	−0.164301	+	0.986410i	$0.552537\pi$
$840$	15.7714	−	5.05330i	0.544166	−	0.174355i
$841$	−14.1376	+	4.36087i	−0.487503	+	0.150375i
$842$	15.9269	+	7.67001i	0.548878	+	0.264326i
$843$	−19.1657	−	20.6557i	−0.660102	−	0.711420i
$844$	−1.31661	+	17.5690i	−0.0453197	+	0.604750i
$845$	−7.73412	−	29.6431i	−0.266062	−	1.01975i
$846$	−4.69692	+	2.26192i	−0.161483	+	0.0777663i
$847$	49.6513	−	15.9087i	1.70604	−	0.546629i
$848$	6.58772	−	4.49143i	0.226223	−	0.154236i
$849$	5.57482	+	1.71960i	0.191327	+	0.0590166i
$850$	−1.15736	−	7.67857i	−0.0396971	−	0.263373i
$851$			27.9369i			0.957664i
$852$	1.02551	+	0.592077i	0.0351333	+	0.0202842i
$853$	10.4393	−	8.32510i	0.357436	−	0.285046i	−0.428264	−	0.903654i	$-0.640874\pi$
$853$	10.4393	−	8.32510i	0.357436	−	0.285046i	0.785700	+	0.618608i	$0.212303\pi$
$854$	67.7220	−	40.0874i	2.31740	−	1.37176i
$855$	1.51386	+	3.85726i	0.0517730	+	0.131915i
$856$	−14.6883	−	11.7135i	−0.502036	−	0.400360i
$857$	16.7173	−	11.3977i	0.571053	−	0.389337i	−0.243088	−	0.970004i	$-0.578160\pi$
$857$	16.7173	−	11.3977i	0.571053	−	0.389337i	0.814141	+	0.580667i	$0.197208\pi$
$858$	77.8190	−	9.98468i	2.65670	−	0.340872i
$859$	−37.3341	−	5.62721i	−1.27382	−	0.191998i	−0.522903	−	0.852392i	$-0.675151\pi$
$859$	−37.3341	−	5.62721i	−1.27382	−	0.191998i	−0.750919	+	0.660394i	$0.770389\pi$
$860$	−14.1516	+	5.55408i	−0.482564	+	0.189393i
$861$	−26.3107	−	14.8114i	−0.896666	−	0.504771i
$862$	−22.7963	+	58.0840i	−0.776445	+	1.97835i
$863$	−40.6775	+	23.4852i	−1.38468	+	0.799444i	−0.992709	−	0.120535i	$-0.961539\pi$
$863$	−40.6775	+	23.4852i	−1.38468	+	0.799444i	−0.391968	+	0.919979i	$0.628206\pi$
$864$			37.5944i			1.27899i
$865$	−3.54658	+	2.82830i	−0.120587	+	0.0961651i
$866$	−6.84031	−	7.37210i	−0.232443	−	0.250514i
$867$	3.40638	+	45.4550i	0.115687	+	1.54373i
$868$	6.70499	+	20.9264i	0.227582	+	0.710289i
$869$	59.8988	+	4.48879i	2.03193	+	0.152272i
$870$	−12.7423	+	32.4668i	−0.432004	+	1.10073i
$871$	−45.6754	+	25.0481i	−1.54765	+	0.848721i
$872$	6.69254	+	2.06437i	0.226638	+	0.0699086i
$873$	1.32576	−	2.75297i	0.0448703	−	0.0931740i
$874$	−33.5296	−	31.1109i	−1.13416	−	1.05234i
$875$	18.6350	−	20.5270i	0.629978	−	0.693938i
$876$	−38.2673	+	8.73427i	−1.29293	+	0.295104i
$877$	−1.99463	+	2.14970i	−0.0673540	+	0.0725904i	−0.765830	−	0.643043i	$-0.777672\pi$
$877$	−1.99463	+	2.14970i	−0.0673540	+	0.0725904i	0.698476	+	0.715634i	$0.253862\pi$
$878$	34.6460	+	27.6292i	1.16925	+	0.932442i
$879$	−4.72992	+	5.09765i	−0.159536	+	0.171939i
$880$	2.13676	−	28.5131i	0.0720303	−	0.961177i
$881$	19.6612	−	34.0542i	0.662402	−	1.14731i	−0.317581	−	0.948231i	$-0.602871\pi$
$881$	19.6612	−	34.0542i	0.662402	−	1.14731i	0.979983	−	0.199082i	$-0.0637962\pi$
$882$	3.58067	+	2.73025i	0.120567	+	0.0919322i
$883$	−18.7527			−0.631079			−0.315539	−	0.948912i	$-0.602185\pi$
$883$	−18.7527			−0.631079			−0.315539	+	0.948912i	$0.602185\pi$
$884$	−62.5997	−	1.37681i	−2.10546	−	0.0463072i
$885$	2.20127	+	2.04248i	0.0739948	+	0.0686571i
$886$	−5.32939	+	35.3582i	−0.179044	+	1.18788i
$887$	10.7845	−	47.2498i	0.362107	−	1.58649i	−0.385731	−	0.922611i	$-0.626051\pi$
$887$	10.7845	−	47.2498i	0.362107	−	1.58649i	0.747837	−	0.663882i	$-0.231092\pi$
$888$	15.2026	−	14.1059i	0.510165	−	0.473364i
$889$	−1.00914	−	11.7500i	−0.0338453	−	0.394083i
$890$	7.90322	+	25.6216i	0.264917	+	0.858838i
$891$	30.6032	+	44.8867i	1.02525	+	1.50376i
$892$	14.8059	−	47.9995i	0.495738	−	1.60714i
$893$	−43.1623	+	20.7858i	−1.44437	+	0.695572i
$894$	−10.0987	−	12.6633i	−0.337750	−	0.423526i
$895$	−50.9931	−	3.82141i	−1.70451	−	0.127735i
$896$	−29.1305	−	1.86474i	−0.973180	−	0.0622966i
$897$	9.03638	−	21.6143i	0.301716	−	0.721681i
$898$	12.5362	−	11.6319i	0.418338	−	0.388161i
$899$	−10.8874	−	4.27300i	−0.363116	−	0.142513i
$900$	−0.220295	−	0.381563i	−0.00734317	−	0.0127188i
$901$	−11.8136	+	20.4618i	−0.393569	+	0.681681i
$902$	58.8781	−	46.9537i	1.96043	−	1.56339i
$903$	−9.63842	−	6.41897i	−0.320747	−	0.213610i
$904$	1.85091	−	12.2800i	0.0615602	−	0.408425i
$905$	1.50506	−	9.98542i	0.0500299	−	0.331927i
$906$	−8.87907	−	4.27594i	−0.294987	−	0.142058i
$907$	3.26508	+	43.5694i	0.108415	+	1.44670i	0.740634	+	0.671909i	$0.234525\pi$
$907$	3.26508	+	43.5694i	0.108415	+	1.44670i	−0.632219	+	0.774790i	$0.717856\pi$
$908$	−46.0462	−	36.7206i	−1.52810	−	1.21862i
$909$	2.64051	−	3.31110i	0.0875802	−	0.109822i
$910$	29.8857	+	38.3422i	0.990701	+	1.27103i
$911$	−12.8158	−	16.0706i	−0.424608	−	0.532441i	0.522806	−	0.852452i	$-0.324885\pi$
$911$	−12.8158	−	16.0706i	−0.424608	−	0.532441i	−0.947414	+	0.320010i	$0.896314\pi$
$912$		−	23.5036i		−	0.778284i
$913$	16.9840	+	29.4171i	0.562087	+	0.973564i
$914$	45.5689	+	57.1416i	1.50729	+	1.89008i
$915$	−40.0353	−	43.1478i	−1.32353	−	1.42642i
$916$	−45.3046	+	3.39511i	−1.49691	+	0.112178i
$917$	−11.3969	−	13.9768i	−0.376360	−	0.461554i
$918$	−29.8774	−	62.0411i	−0.986102	−	2.04766i
$919$	6.04187	−	0.910665i	0.199303	−	0.0300401i	−0.0486321	−	0.998817i	$-0.515486\pi$
$919$	6.04187	−	0.910665i	0.199303	−	0.0300401i	0.247935	+	0.968777i	$0.420248\pi$
$920$	10.1910	+	6.94813i	0.335989	+	0.229073i
$921$	26.8160	+	28.9008i	0.883619	+	0.952314i
$922$	3.76426	+	50.2305i	0.123969	+	1.65425i
$923$	−0.150001	+	0.865587i	−0.00493735	+	0.0284911i
$924$	−61.3163	+	36.2956i	−2.01716	+	1.19404i
$925$	−1.27359	+	4.12889i	−0.0418755	+	0.135757i
$926$	1.40893	−	6.17291i	0.0463002	−	0.202854i
$927$	−2.22514	+	2.79024i	−0.0730832	+	0.0916434i
$928$	19.6383	−	21.1650i	0.644657	−	0.694775i
$929$	15.7988	+	1.18396i	0.518342	+	0.0388443i	0.331333	−	0.943514i	$-0.392502\pi$
$929$	15.7988	+	1.18396i	0.518342	+	0.0388443i	0.187009	+	0.982358i	$0.440121\pi$
$930$	24.8696	−	14.3585i	0.815508	−	0.470834i
$931$	32.9045	+	25.0895i	1.07840	+	0.822277i
$932$	−14.3250	−	24.8117i	−0.469232	−	0.812734i
$933$	24.2079	−	11.6579i	0.792532	−	0.381663i
$934$	−7.22319	−	23.4170i	−0.236350	−	0.766228i
$935$	30.9559	+	78.8742i	1.01236	+	2.57946i
$936$	−1.47263	+	0.540907i	−0.0481345	+	0.0176801i
$937$	−2.33868	−	10.2464i	−0.0764012	−	0.334736i	0.922254	−	0.386585i	$-0.126345\pi$
$937$	−2.33868	−	10.2464i	−0.0764012	−	0.334736i	−0.998655	+	0.0518496i	$0.983488\pi$
$938$	50.8337	−	65.1851i	1.65978	−	2.12837i
$939$	−4.04092	−	3.74943i	−0.131871	−	0.122358i
$940$	42.2334	−	28.7943i	1.37750	−	0.939166i
$941$	12.1568	−	39.4113i	0.396300	−	1.28477i	−0.509282	−	0.860600i	$-0.670089\pi$
$941$	12.1568	−	39.4113i	0.396300	−	1.28477i	0.905582	−	0.424172i	$-0.139435\pi$
$942$	2.47499	+	5.13938i	0.0806397	+	0.167450i
$943$	−3.35150	−	22.2358i	−0.109140	−	0.724096i
$944$	−0.666667	−	1.38435i	−0.0216982	−	0.0450567i
$945$	−12.9754	+	27.7104i	−0.422089	+	0.901420i
$946$	23.8646	−	16.2706i	0.775906	−	0.529004i
$947$	−1.22555	+	0.279725i	−0.0398251	+	0.00908983i	−0.242387	−	0.970180i	$-0.577930\pi$
$947$	−1.22555	+	0.279725i	−0.0398251	+	0.00908983i	0.202562	+	0.979269i	$0.435073\pi$
$948$	−52.0939	+	7.85189i	−1.69193	+	0.255018i
$949$	−15.8706	−	24.4145i	−0.515180	−	0.792528i
$950$	−3.53716	−	6.12655i	−0.114761	−	0.198771i
$951$	−1.25209	−	8.30706i	−0.0406017	−	0.269375i
$952$	23.2746	−	9.42792i	0.754333	−	0.305561i
$953$	−7.38664	−	1.11336i	−0.239277	−	0.0360652i	0.0283090	−	0.999599i	$-0.490988\pi$
$953$	−7.38664	−	1.11336i	−0.239277	−	0.0360652i	−0.267586	+	0.963534i	$0.586226\pi$
$954$	−0.349107	+	2.31617i	−0.0113027	+	0.0749888i
$955$	22.2483	−	46.1990i	0.719937	−	1.49497i
$956$	−30.7429	+	63.8383i	−0.994296	+	2.06468i
$957$	5.65243	−	37.5014i	0.182717	−	1.21225i
$958$	−3.83799	−	0.578484i	−0.124000	−	0.0186900i
$959$	−1.97186	−	12.1821i	−0.0636748	−	0.393382i
$960$	7.77264	+	51.5681i	0.250861	+	1.66435i
$961$	−10.6850	−	18.5070i	−0.344678	−	0.597000i
$962$	54.2535	+	27.6128i	1.74920	+	0.890273i
$963$	−3.77778	+	0.569409i	−0.121737	+	0.0183489i
$964$	49.7890	−	11.3640i	1.60359	−	0.366010i
$965$	−25.3836	+	17.3062i	−0.817126	+	0.557107i
$966$	0.404223	+	37.1731i	0.0130057	+	1.19603i
$967$	−4.03968	−	8.38848i	−0.129907	−	0.269755i	0.825862	−	0.563872i	$-0.190689\pi$
$967$	−4.03968	−	8.38848i	−0.129907	−	0.269755i	−0.955770	+	0.294117i	$0.904975\pi$
$968$	−4.29622	−	28.5035i	−0.138086	−	0.916138i
$969$	30.2199	+	62.7522i	0.970801	+	2.01589i
$970$	−15.4298	+	50.0222i	−0.495421	+	1.60612i
$971$	7.34801	−	5.00979i	0.235809	−	0.160772i	−0.439651	−	0.898169i	$-0.644898\pi$
$971$	7.34801	−	5.00979i	0.235809	−	0.160772i	0.675460	+	0.737397i	$0.263945\pi$
$972$	−6.04334	−	5.60740i	−0.193840	−	0.179858i
$973$	−5.97310	−	24.9178i	−0.191489	−	0.798827i
$974$	−17.8708	−	78.2971i	−0.572618	−	2.50880i
$975$	2.32088	−	2.78250i	0.0743275	−	0.0891113i
$976$	11.0032	+	28.0358i	0.352205	+	0.897403i
$977$	−3.39198	−	10.9965i	−0.108519	−	0.351810i	0.884983	−	0.465623i	$-0.154170\pi$
$977$	−3.39198	−	10.9965i	−0.108519	−	0.351810i	−0.993502	+	0.113813i	$0.963693\pi$
$978$	−21.5130	+	10.3601i	−0.687911	+	0.331280i
$979$	−14.5777	−	25.2493i	−0.465905	−	0.806972i
$980$	−38.7062	−	21.2384i	−1.23642	−	0.678437i
$981$	1.23343	−	0.712121i	0.0393804	−	0.0227363i
$982$	−58.3908	−	4.37579i	−1.86333	−	0.139637i
$983$	−36.8126	+	39.6745i	−1.17414	+	1.26542i	−0.216877	+	0.976199i	$0.569587\pi$
$983$	−36.8126	+	39.6745i	−1.17414	+	1.26542i	−0.957262	+	0.289222i	$0.906603\pi$
$984$	−10.4079	+	13.0511i	−0.331792	+	0.416054i
$985$	−6.05102	+	26.5112i	−0.192801	+	0.844718i
$986$	−15.5881	+	50.5352i	−0.496425	+	1.60937i
$987$	36.3974	+	13.8301i	1.15854	+	0.440217i
$988$	−53.5454	+	19.6676i	−1.70351	+	0.625709i
$989$	−0.644517	−	8.60048i	−0.0204944	−	0.273479i
$990$	5.71346	+	6.15765i	0.181586	+	0.195703i
$991$	31.0226	+	21.1508i	0.985465	+	0.671879i	0.944921	−	0.327299i	$-0.106138\pi$
$991$	31.0226	+	21.1508i	0.985465	+	0.671879i	0.0405442	+	0.999178i	$0.487091\pi$
$992$	−23.5069	+	3.54310i	−0.746345	+	0.112493i
$993$	10.5711	+	21.9512i	0.335465	+	0.696600i
$994$	−0.324959	−	1.35562i	−0.0103071	−	0.0429976i
$995$	−32.9070	+	2.46604i	−1.04322	+	0.0781788i
$996$	−20.2637	−	21.8391i	−0.642081	−	0.691999i
$997$	−8.96865	−	11.2463i	−0.284040	−	0.356175i	0.619259	−	0.785187i	$-0.287433\pi$
$997$	−8.96865	−	11.2463i	−0.284040	−	0.356175i	−0.903299	+	0.429012i	$0.858862\pi$
$998$	−7.60446	−	13.1713i	−0.240715	−	0.416931i
$999$			38.3160i			1.21227i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.bz.a.4.10	yes	756
13.10	even	6		637.2.bp.a.543.10	✓	756
49.37	even	21		637.2.bp.a.576.10	yes	756
637.478	even	42	inner	637.2.bz.a.478.10	yes	756

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.bp.a.543.10	✓	756	13.10	even	6
637.2.bp.a.576.10	yes	756	49.37	even	21
637.2.bz.a.4.10	yes	756	1.1	even	1	trivial
637.2.bz.a.478.10	yes	756	637.478	even	42	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 637 = 7^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	637.bz (of order \(42\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.938275 - 1.94835i) q^{2} +(1.73522 - 0.535243i) q^{3} +(-1.66872 + 2.09251i) q^{4} +(-0.694611 - 2.25187i) q^{5} +(-2.67095 - 2.87860i) q^{6} +(-0.169018 + 2.64035i) q^{7} +(1.42609 + 0.325495i) q^{8} +(0.245774 - 0.167566i) q^{9} +(-3.73570 + 3.46622i) q^{10} +(3.12154 - 4.57845i) q^{11} +(-1.77559 + 4.52413i) q^{12} +(-3.60468 - 0.0792810i) q^{13} +(5.30290 - 2.14807i) q^{14} +(-2.41060 - 3.53570i) q^{15} +(0.487235 + 2.13472i) q^{16} +(-4.04558 - 5.07300i) q^{17} +(-0.557080 - 0.321630i) q^{18} +(-5.11927 - 2.95561i) q^{19} +(5.87118 + 2.30427i) q^{20} +(1.11995 + 4.67204i) q^{21} +(-11.8493 - 1.78599i) q^{22} +(-2.23094 + 2.79752i) q^{23} +(2.64879 - 0.198499i) q^{24} +(-0.457252 + 0.311749i) q^{25} +(3.22771 + 7.09756i) q^{26} +(-3.05979 + 3.83685i) q^{27} +(-5.24291 - 4.75967i) q^{28} +(3.72687 - 0.561736i) q^{29} +(-4.62697 + 8.01415i) q^{30} +(-2.68747 - 1.55161i) q^{31} +(5.98928 - 4.77629i) q^{32} +(2.96595 - 9.61539i) q^{33} +(-6.08810 + 12.6421i) q^{34} +(6.06313 - 1.45341i) q^{35} +(-0.0594949 + 0.793905i) q^{36} +(6.10424 - 4.86797i) q^{37} +(-0.955279 + 12.7473i) q^{38} +(-6.29733 + 1.79181i) q^{39} +(-0.257602 - 3.43746i) q^{40} +(-4.27454 + 4.60686i) q^{41} +(8.05194 - 6.56570i) q^{42} +(-1.76691 + 1.63945i) q^{43} +(4.37148 + 14.1720i) q^{44} +(-0.548054 - 0.437059i) q^{45} +(7.54377 + 1.72182i) q^{46} +(4.56533 - 6.69610i) q^{47} +(1.98805 + 3.44340i) q^{48} +(-6.94287 - 0.892530i) q^{49} +(1.03643 + 0.598380i) q^{50} +(-9.73524 - 6.63738i) q^{51} +(6.18110 - 7.41053i) q^{52} +(-1.33033 - 3.38963i) q^{53} +(10.3464 + 2.36151i) q^{54} +(-12.4783 - 3.84906i) q^{55} +(-1.10045 + 3.71035i) q^{56} +(-10.4650 - 2.38857i) q^{57} +(-4.59129 - 6.73418i) q^{58} +(-0.684133 + 0.156149i) q^{59} +(11.4211 + 0.855894i) q^{60} +(13.6012 - 2.05004i) q^{61} +(-0.501493 + 6.69196i) q^{62} +(0.400892 + 0.677250i) q^{63} +(-10.9799 - 5.28765i) q^{64} +(2.32532 + 8.17235i) q^{65} +(-21.5170 + 3.24317i) q^{66} +(12.5123 - 7.22396i) q^{67} +17.3662 q^{68} +(-2.37382 + 6.04839i) q^{69} +(-8.52062 - 10.4494i) q^{70} +(0.0363139 - 0.240927i) q^{71} +(0.405037 - 0.158965i) q^{72} +(4.54953 + 6.67294i) q^{73} +(-15.2120 - 7.32570i) q^{74} +(-0.626570 + 0.785694i) q^{75} +(14.7273 - 5.78004i) q^{76} +(11.5611 + 9.01578i) q^{77} +(9.39970 + 10.5882i) q^{78} +(5.41989 + 9.38753i) q^{79} +(4.46867 - 2.57999i) q^{80} +(-3.58177 + 9.12619i) q^{81} +(12.9865 + 4.00580i) q^{82} +(-2.65968 + 5.52288i) q^{83} +(-11.6452 - 5.45283i) q^{84} +(-8.61364 + 12.6339i) q^{85} +(4.85207 + 1.90430i) q^{86} +(6.16626 - 2.96952i) q^{87} +(5.94185 - 5.51323i) q^{88} +(2.28286 - 4.74041i) q^{89} +(-0.337317 + 1.47788i) q^{90} +(0.818584 - 9.50421i) q^{91} +(-2.13101 - 9.33655i) q^{92} +(-5.49382 - 1.25393i) q^{93} +(-17.3299 - 2.61206i) q^{94} +(-3.09976 + 13.5810i) q^{95} +(7.83621 - 11.4936i) q^{96} +(8.89596 - 5.13608i) q^{97} +(4.77536 + 14.3646i) q^{98} -1.64833i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 756 q - 21 q^{2} - 5 q^{3} + 115 q^{4} - 15 q^{6} - 14 q^{7} + 50 q^{9} - 16 q^{10} - 24 q^{11} - 26 q^{12} - 10 q^{13} - 38 q^{14} - 6 q^{15} - 125 q^{16} + 15 q^{17} - 9 q^{18} - 27 q^{19} - 15 q^{20}+ \cdots + 105 q^{98}+O(q^{100}) \) 756 * q - 21 * q^2 - 5 * q^3 + 115 * q^4 - 15 * q^6 - 14 * q^7 + 50 * q^9 - 16 * q^10 - 24 * q^11 - 26 * q^12 - 10 * q^13 - 38 * q^14 - 6 * q^15 - 125 * q^16 + 15 * q^17 - 9 * q^18 - 27 * q^19 - 15 * q^20 - 16 * q^21 - q^22 - 5 * q^23 - 39 * q^24 - 79 * q^25 - 34 * q^26 - 50 * q^27 - 142 * q^28 - 3 * q^29 - 11 * q^30 - 15 * q^31 - 21 * q^32 - 6 * q^33 - 12 * q^35 - 84 * q^36 + 7 * q^37 - 2 * q^38 - 6 * q^39 - 24 * q^40 - 6 * q^41 + 88 * q^42 - 5 * q^43 + 108 * q^44 - 21 * q^45 - 21 * q^46 + 63 * q^47 - 154 * q^48 - 34 * q^49 + 135 * q^50 + 26 * q^51 + 89 * q^52 + 16 * q^53 - 21 * q^54 - 4 * q^55 + 58 * q^56 - 63 * q^57 - 18 * q^58 - 21 * q^59 + 15 * q^60 - 75 * q^61 - 87 * q^62 + 147 * q^63 + 4 * q^64 - 20 * q^65 + 85 * q^66 - 27 * q^67 + 312 * q^68 - 182 * q^69 - 228 * q^70 - 30 * q^71 - 120 * q^72 + 6 * q^73 - 43 * q^74 + 83 * q^75 + 21 * q^76 + 3 * q^77 + 79 * q^78 + 12 * q^79 + 57 * q^80 + 72 * q^81 - 248 * q^82 + 147 * q^83 - 14 * q^84 - 24 * q^85 - 60 * q^86 - 37 * q^87 + 70 * q^88 - 126 * q^89 + 117 * q^90 - 55 * q^91 + 88 * q^92 - 21 * q^93 + 210 * q^94 + 9 * q^95 - 12 * q^96 - 156 * q^97 + 105 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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