LMFDB - Embedded newform 322.2.k.a.195.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [322,2,Mod(83,322)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(322, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 21]))

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

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

chi := DirichletCharacter("322.83");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 322 = 2 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	322.k (of order $22$, degree $10$, 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:	$2.57118294509$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$8$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			195.5
Character	$\chi$	$=$	322.195
Dual form			322.2.k.a.251.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.841254 - 0.540641i) q^{2} +(0.407592 + 0.0586029i) q^{3} +(0.415415 - 0.909632i) q^{4} +(3.89322 - 1.14315i) q^{5} +(0.374571 - 0.171061i) q^{6} +(1.45171 + 2.21191i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(-2.71578 - 0.797426i) q^{9} +O(q^{10})$	\(q+(0.841254 - 0.540641i) q^{2} +(0.407592 + 0.0586029i) q^{3} +(0.415415 - 0.909632i) q^{4} +(3.89322 - 1.14315i) q^{5} +(0.374571 - 0.171061i) q^{6} +(1.45171 + 2.21191i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(-2.71578 - 0.797426i) q^{9} +(2.65715 - 3.06652i) q^{10} +(-2.49960 + 3.88945i) q^{11} +(0.222627 - 0.346414i) q^{12} +(-3.79109 - 3.28500i) q^{13} +(2.41711 + 1.07592i) q^{14} +(1.65384 - 0.237786i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(1.89270 + 4.14443i) q^{17} +(-2.71578 + 0.797426i) q^{18} +(-0.521454 + 1.14183i) q^{19} +(0.577455 - 4.01628i) q^{20} +(0.462082 + 0.986630i) q^{21} +4.62339i q^{22} +(-3.34002 - 3.44155i) q^{23} -0.411783i q^{24} +(9.64413 - 6.19790i) q^{25} +(-4.96528 - 0.713899i) q^{26} +(-2.18391 - 0.997360i) q^{27} +(2.61508 - 0.401666i) q^{28} +(-3.26407 - 7.14732i) q^{29} +(1.26274 - 1.09417i) q^{30} +(3.43442 - 0.493795i) q^{31} +(-0.959493 - 0.281733i) q^{32} +(-1.24675 + 1.43882i) q^{33} +(3.83288 + 2.46325i) q^{34} +(8.18039 + 6.95192i) q^{35} +(-1.85354 + 2.13910i) q^{36} +(-2.05104 + 6.98522i) q^{37} +(0.178642 + 1.24248i) q^{38} +(-1.35271 - 1.56111i) q^{39} +(-1.68558 - 3.69091i) q^{40} +(-1.40455 - 4.78347i) q^{41} +(0.922141 + 0.580185i) q^{42} +(1.92349 + 0.276557i) q^{43} +(2.49960 + 3.88945i) q^{44} -11.4847 q^{45} +(-4.67045 - 1.08947i) q^{46} +1.13708i q^{47} +(-0.222627 - 0.346414i) q^{48} +(-2.78506 + 6.42211i) q^{49} +(4.76232 - 10.4280i) q^{50} +(0.528573 + 1.80015i) q^{51} +(-4.56302 + 2.08386i) q^{52} +(-1.90984 + 1.65488i) q^{53} +(-2.37644 + 0.341680i) q^{54} +(-5.28525 + 17.9999i) q^{55} +(1.98279 - 1.75172i) q^{56} +(-0.279455 + 0.434840i) q^{57} +(-6.61004 - 4.24802i) q^{58} +(7.19047 + 6.23058i) q^{59} +(0.470732 - 1.60316i) q^{60} +(0.326857 + 2.27334i) q^{61} +(2.62225 - 2.27219i) q^{62} +(-2.17871 - 7.16469i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(-18.5148 - 8.45544i) q^{65} +(-0.270944 + 1.88446i) q^{66} +(0.956621 + 1.48853i) q^{67} +4.55616 q^{68} +(-1.15968 - 1.59848i) q^{69} +(10.6403 + 1.42567i) q^{70} +(-0.734696 + 0.472160i) q^{71} +(-0.402813 + 2.80162i) q^{72} +(-5.85874 - 2.67560i) q^{73} +(2.05104 + 6.98522i) q^{74} +(4.29408 - 1.96104i) q^{75} +(0.822022 + 0.948663i) q^{76} +(-12.2318 + 0.117490i) q^{77} +(-1.98197 - 0.581959i) q^{78} +(-8.40541 - 7.28333i) q^{79} +(-3.41346 - 2.19370i) q^{80} +(6.31164 + 4.05625i) q^{81} +(-3.76772 - 3.26475i) q^{82} +(7.63878 + 2.24295i) q^{83} +(1.08943 - 0.0104642i) q^{84} +(12.1064 + 13.9715i) q^{85} +(1.76766 - 0.807265i) q^{86} +(-0.911555 - 3.10447i) q^{87} +(4.20559 + 1.92063i) q^{88} +(0.245830 - 1.70979i) q^{89} +(-9.66157 + 6.20911i) q^{90} +(1.76253 - 13.1544i) q^{91} +(-4.51804 + 1.60852i) q^{92} +1.42878 q^{93} +(0.614752 + 0.956573i) q^{94} +(-0.724857 + 5.04149i) q^{95} +(-0.374571 - 0.171061i) q^{96} +(8.10923 - 2.38108i) q^{97} +(1.12911 + 6.90834i) q^{98} +(9.88990 - 8.56965i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9}+O(q^{10}) $ 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9	$ 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9} + 11 q^{14} - 8 q^{16} - 6 q^{18} - 33 q^{21} + 18 q^{23} - 58 q^{25} - 11 q^{28} + 16 q^{29} + 22 q^{30} - 8 q^{32} + 47 q^{35} + 16 q^{36} - 22 q^{37} - 30 q^{39} - 22 q^{42} + 44 q^{43} - 4 q^{46} + 17 q^{49} + 8 q^{50} - 88 q^{51} + 44 q^{53} + 11 q^{56} - 22 q^{57} - 28 q^{58} + 121 q^{63} - 8 q^{64} - 154 q^{65} + 58 q^{70} + 42 q^{71} - 28 q^{72} + 22 q^{74} + 38 q^{77} + 58 q^{78} - 88 q^{79} - 26 q^{81} - 11 q^{84} + 26 q^{85} - 132 q^{86} + 22 q^{88} - 4 q^{92} + 152 q^{93} - 68 q^{95} - 27 q^{98} - 44 q^{99}+O(q^{100}) $ 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9 + 11 * q^14 - 8 * q^16 - 6 * q^18 - 33 * q^21 + 18 * q^23 - 58 * q^25 - 11 * q^28 + 16 * q^29 + 22 * q^30 - 8 * q^32 + 47 * q^35 + 16 * q^36 - 22 * q^37 - 30 * q^39 - 22 * q^42 + 44 * q^43 - 4 * q^46 + 17 * q^49 + 8 * q^50 - 88 * q^51 + 44 * q^53 + 11 * q^56 - 22 * q^57 - 28 * q^58 + 121 * q^63 - 8 * q^64 - 154 * q^65 + 58 * q^70 + 42 * q^71 - 28 * q^72 + 22 * q^74 + 38 * q^77 + 58 * q^78 - 88 * q^79 - 26 * q^81 - 11 * q^84 + 26 * q^85 - 132 * q^86 + 22 * q^88 - 4 * q^92 + 152 * q^93 - 68 * q^95 - 27 * q^98 - 44 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/322\mathbb{Z}\right)^\times$.

$n$	$185$	$281$
$\chi(n)$	$-1$	$e\left(\frac{9}{22}\right)$

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 $

$2$	0.841254	−	0.540641i	0.594856	−	0.382291i
$2$	0.841254	−	0.540641i	0.594856	−	0.382291i
$3$	0.407592	+	0.0586029i	0.235323	+	0.0338344i	0.258967	−	0.965886i	$-0.416618\pi$
$3$	0.407592	+	0.0586029i	0.235323	+	0.0338344i	−0.0236441	+	0.999720i	$0.507527\pi$
$4$	0.415415	−	0.909632i	0.207708	−	0.454816i
$5$	3.89322	−	1.14315i	1.74110	−	0.511234i	0.752090	−	0.659061i	$-0.229046\pi$
$5$	3.89322	−	1.14315i	1.74110	−	0.511234i	0.989013	+	0.147827i	$0.0472278\pi$
$6$	0.374571	−	0.171061i	0.152918	−	0.0698353i
$7$	1.45171	+	2.21191i	0.548696	+	0.836022i
$7$	1.45171	+	2.21191i	0.548696	+	0.836022i
$8$	−0.142315	−	0.989821i	−0.0503159	−	0.349955i
$9$	−2.71578	−	0.797426i	−0.905261	−	0.265809i
$10$	2.65715	−	3.06652i	0.840266	−	0.969718i
$11$	−2.49960	+	3.88945i	−0.753657	+	1.17271i	0.226408	+	0.974033i	$0.427302\pi$
$11$	−2.49960	+	3.88945i	−0.753657	+	1.17271i	−0.980064	+	0.198680i	$0.936335\pi$
$12$	0.222627	−	0.346414i	0.0642668	−	0.100001i
$13$	−3.79109	−	3.28500i	−1.05146	−	0.911095i	−0.0552845	−	0.998471i	$-0.517607\pi$
$13$	−3.79109	−	3.28500i	−1.05146	−	0.911095i	−0.996175	+	0.0873754i	$0.972152\pi$
$14$	2.41711	+	1.07592i	0.645999	+	0.287551i
$15$	1.65384	−	0.237786i	0.427019	−	0.0613961i
$16$	−0.654861	−	0.755750i	−0.163715	−	0.188937i
$17$	1.89270	+	4.14443i	0.459046	+	1.00517i	0.987704	+	0.156336i	$0.0499683\pi$
$17$	1.89270	+	4.14443i	0.459046	+	1.00517i	−0.528657	+	0.848835i	$0.677304\pi$
$18$	−2.71578	+	0.797426i	−0.640116	+	0.187955i
$19$	−0.521454	+	1.14183i	−0.119630	+	0.261953i	−0.959968	−	0.280110i	$-0.909629\pi$
$19$	−0.521454	+	1.14183i	−0.119630	+	0.261953i	0.840338	+	0.542063i	$0.182356\pi$
$20$	0.577455	−	4.01628i	0.129123	−	0.898069i
$21$	0.462082	+	0.986630i	0.100835	+	0.215300i
$22$			4.62339i			0.985711i
$23$	−3.34002	−	3.44155i	−0.696442	−	0.717613i
$23$	−3.34002	−	3.44155i	−0.696442	−	0.717613i
$24$		−	0.411783i		−	0.0840549i
$25$	9.64413	−	6.19790i	1.92883	−	1.23958i
$26$	−4.96528	−	0.713899i	−0.973771	−	0.140007i
$27$	−2.18391	−	0.997360i	−0.420294	−	0.191942i
$28$	2.61508	−	0.401666i	0.494204	−	0.0759077i
$29$	−3.26407	−	7.14732i	−0.606123	−	1.32722i	−0.925195	−	0.379493i	$-0.876098\pi$
$29$	−3.26407	−	7.14732i	−0.606123	−	1.32722i	0.319072	−	0.947730i	$-0.396629\pi$
$30$	1.26274	−	1.09417i	0.230544	−	0.199767i
$31$	3.43442	−	0.493795i	0.616840	−	0.0886882i	0.173190	−	0.984888i	$-0.444593\pi$
$31$	3.43442	−	0.493795i	0.616840	−	0.0886882i	0.443650	+	0.896200i	$0.353683\pi$
$32$	−0.959493	−	0.281733i	−0.169616	−	0.0498038i
$33$	−1.24675	+	1.43882i	−0.217031	+	0.250467i
$34$	3.83288	+	2.46325i	0.657334	+	0.422443i
$35$	8.18039	+	6.95192i	1.38274	+	1.17509i
$36$	−1.85354	+	2.13910i	−0.308923	+	0.356517i
$37$	−2.05104	+	6.98522i	−0.337190	+	1.14836i	0.600133	+	0.799900i	$0.295114\pi$
$37$	−2.05104	+	6.98522i	−0.337190	+	1.14836i	−0.937323	+	0.348462i	$0.886704\pi$
$38$	0.178642	+	1.24248i	0.0289796	+	0.201558i
$39$	−1.35271	−	1.56111i	−0.216607	−	0.249977i
$40$	−1.68558	−	3.69091i	−0.266514	−	0.583584i
$41$	−1.40455	−	4.78347i	−0.219354	−	0.747052i	−0.993479	−	0.114019i	$-0.963628\pi$
$41$	−1.40455	−	4.78347i	−0.219354	−	0.747052i	0.774124	−	0.633034i	$-0.218191\pi$
$42$	0.922141	+	0.580185i	0.142289	+	0.0895245i
$43$	1.92349	+	0.276557i	0.293330	+	0.0421745i	0.287409	−	0.957808i	$-0.407206\pi$
$43$	1.92349	+	0.276557i	0.293330	+	0.0421745i	0.00592118	+	0.999982i	$0.498115\pi$
$44$	2.49960	+	3.88945i	0.376828	+	0.586356i
$45$	−11.4847			−1.71204
$46$	−4.67045	−	1.08947i	−0.688620	−	0.160633i
$47$			1.13708i			0.165860i	0.996555	+	0.0829301i	$0.0264278\pi$
$47$			1.13708i			0.165860i	−0.996555	+	0.0829301i	$0.973572\pi$
$48$	−0.222627	−	0.346414i	−0.0321334	−	0.0500006i
$49$	−2.78506	+	6.42211i	−0.397865	+	0.917444i
$50$	4.76232	−	10.4280i	0.673493	−	1.47474i
$51$	0.528573	+	1.80015i	0.0740150	+	0.252072i
$52$	−4.56302	+	2.08386i	−0.632777	+	0.288979i
$53$	−1.90984	+	1.65488i	−0.262336	+	0.227316i	−0.776090	−	0.630622i	$-0.782800\pi$
$53$	−1.90984	+	1.65488i	−0.262336	+	0.227316i	0.513754	+	0.857938i	$0.328254\pi$
$54$	−2.37644	+	0.341680i	−0.323392	+	0.0464968i
$55$	−5.28525	+	17.9999i	−0.712663	+	2.42711i
$56$	1.98279	−	1.75172i	0.264962	−	0.234084i
$57$	−0.279455	+	0.434840i	−0.0370147	+	0.0575960i
$58$	−6.61004	−	4.24802i	−0.867941	−	0.557792i
$59$	7.19047	+	6.23058i	0.936120	+	0.811152i	0.982210	−	0.187785i	$-0.0601308\pi$
$59$	7.19047	+	6.23058i	0.936120	+	0.811152i	−0.0460904	+	0.998937i	$0.514676\pi$
$60$	0.470732	−	1.60316i	0.0607712	−	0.206968i
$61$	0.326857	+	2.27334i	0.0418498	+	0.291072i	0.999989	+	0.00476776i	$0.00151763\pi$
$61$	0.326857	+	2.27334i	0.0418498	+	0.291072i	−0.958139	+	0.286304i	$0.907573\pi$
$62$	2.62225	−	2.27219i	0.333026	−	0.288569i
$63$	−2.17871	−	7.16469i	−0.274491	−	0.902666i
$64$	−0.959493	+	0.281733i	−0.119937	+	0.0352166i
$65$	−18.5148	−	8.45544i	−2.29648	−	1.04877i
$66$	−0.270944	+	1.88446i	−0.0333509	+	0.231961i
$67$	0.956621	+	1.48853i	0.116870	+	0.181853i	0.894760	−	0.446547i	$-0.147346\pi$
$67$	0.956621	+	1.48853i	0.116870	+	0.181853i	−0.777890	+	0.628400i	$0.783710\pi$
$68$	4.55616			0.552515
$69$	−1.15968	−	1.59848i	−0.139609	−	0.192435i
$70$	10.6403	+	1.42567i	1.27176	+	0.170400i
$71$	−0.734696	+	0.472160i	−0.0871923	+	0.0560351i	−0.583511	−	0.812106i	$-0.698321\pi$
$71$	−0.734696	+	0.472160i	−0.0871923	+	0.0560351i	0.496318	+	0.868141i	$0.334685\pi$
$72$	−0.402813	+	2.80162i	−0.0474719	+	0.330175i
$73$	−5.85874	−	2.67560i	−0.685714	−	0.313155i	0.0419197	−	0.999121i	$-0.486653\pi$
$73$	−5.85874	−	2.67560i	−0.685714	−	0.313155i	−0.727634	+	0.685966i	$0.759380\pi$
$74$	2.05104	+	6.98522i	0.238429	+	0.812015i
$75$	4.29408	−	1.96104i	0.495838	−	0.226442i
$76$	0.822022	+	0.948663i	0.0942923	+	0.108819i
$77$	−12.2318	+	0.117490i	−1.39394	+	0.0133892i
$78$	−1.98197	−	0.581959i	−0.224414	−	0.0658939i
$79$	−8.40541	−	7.28333i	−0.945683	−	0.819439i	0.0380132	−	0.999277i	$-0.487897\pi$
$79$	−8.40541	−	7.28333i	−0.945683	−	0.819439i	−0.983696	+	0.179838i	$0.942443\pi$
$80$	−3.41346	−	2.19370i	−0.381636	−	0.245263i
$81$	6.31164	+	4.05625i	0.701294	+	0.450694i
$82$	−3.76772	−	3.26475i	−0.416075	−	0.360531i
$83$	7.63878	+	2.24295i	0.838465	+	0.246195i	0.672649	−	0.739961i	$-0.265156\pi$
$83$	7.63878	+	2.24295i	0.838465	+	0.246195i	0.165815	+	0.986157i	$0.446974\pi$
$84$	1.08943	−	0.0104642i	0.118866	−	0.00114174i
$85$	12.1064	+	13.9715i	1.31312	+	1.51543i
$86$	1.76766	−	0.807265i	0.190612	−	0.0870496i
$87$	−0.911555	−	3.10447i	−0.0977290	−	0.332834i
$88$	4.20559	+	1.92063i	0.448317	+	0.204740i
$89$	0.245830	−	1.70979i	0.0260579	−	0.181237i	−0.972636	−	0.232336i	$-0.925363\pi$
$89$	0.245830	−	1.70979i	0.0260579	−	0.181237i	0.998694	+	0.0510987i	$0.0162723\pi$
$90$	−9.66157	+	6.20911i	−1.01842	+	0.654498i
$91$	1.76253	−	13.1544i	0.184764	−	1.37896i
$92$	−4.51804	+	1.60852i	−0.471038	+	0.167699i
$93$	1.42878			0.148157
$94$	0.614752	+	0.956573i	0.0634069	+	0.0986630i
$95$	−0.724857	+	5.04149i	−0.0743687	+	0.517246i
$96$	−0.374571	−	0.171061i	−0.0382295	−	0.0174588i
$97$	8.10923	−	2.38108i	0.823367	−	0.241762i	0.157202	−	0.987566i	$-0.449753\pi$
$97$	8.10923	−	2.38108i	0.823367	−	0.241762i	0.666165	+	0.745804i	$0.267934\pi$
$98$	1.12911	+	6.90834i	0.114058	+	0.697847i
$99$	9.88990	−	8.56965i	0.993973	−	0.861282i
$100$	−1.63150	−	11.3473i	−0.163150	−	1.13473i
$101$	3.45140	−	11.7544i	0.343428	−	1.16961i	−0.588965	−	0.808159i	$-0.700464\pi$
$101$	3.45140	−	11.7544i	0.343428	−	1.16961i	0.932392	−	0.361448i	$-0.117718\pi$
$102$	1.41790	+	1.22862i	0.140393	+	0.121651i
$103$	5.81995	+	3.74026i	0.573457	+	0.368538i	0.794997	−	0.606613i	$-0.207472\pi$
$103$	5.81995	+	3.74026i	0.573457	+	0.368538i	−0.221540	+	0.975151i	$0.571108\pi$
$104$	−2.71204	+	4.22001i	−0.265937	+	0.413806i
$105$	2.92686	+	3.31294i	0.285632	+	0.323310i
$106$	−0.711960	+	2.42471i	−0.0691517	+	0.235509i
$107$	7.25768	−	1.04350i	0.701626	−	0.100879i	0.217737	−	0.976008i	$-0.430133\pi$
$107$	7.25768	−	1.04350i	0.701626	−	0.100879i	0.483890	+	0.875129i	$0.339224\pi$
$108$	−1.81446	+	1.57224i	−0.174597	+	0.151289i
$109$	−3.89945	+	1.78082i	−0.373499	+	0.170571i	−0.593316	−	0.804970i	$-0.702181\pi$
$109$	−3.89945	+	1.78082i	−0.373499	+	0.170571i	0.219816	+	0.975541i	$0.429454\pi$
$110$	5.28525	+	17.9999i	0.503929	+	1.71622i
$111$	−1.24534	+	2.72692i	−0.118203	+	0.258828i
$112$	0.720977	−	2.54562i	0.0681259	−	0.240539i
$113$	9.96392	+	15.5042i	0.937327	+	1.45851i	0.888062	+	0.459723i	$0.152051\pi$
$113$	9.96392	+	15.5042i	0.937327	+	1.45851i	0.0492645	+	0.998786i	$0.484312\pi$
$114$			0.516896i			0.0484117i
$115$	−16.9377	−	9.58058i	−1.57945	−	0.893393i
$116$	−7.85737			−0.729539
$117$	7.67624	+	11.9445i	0.709669	+	1.10427i
$118$	9.41752	+	1.35403i	0.866953	+	0.124649i
$119$	−6.41943	+	10.2030i	−0.588468	+	0.935306i
$120$	−0.470732	−	1.60316i	−0.0429717	−	0.146348i
$121$	−4.31026	−	9.43814i	−0.391841	−	0.858013i
$122$	1.50403	+	1.73575i	0.136169	+	0.157147i
$123$	−0.292159	−	2.03201i	−0.0263431	−	0.183220i
$124$	0.977537	−	3.32919i	0.0877855	−	0.298970i
$125$	17.1758	−	19.8220i	1.53625	−	1.77293i
$126$	−5.70637	−	4.84942i	−0.508364	−	0.432021i
$127$	−12.7433	−	8.18962i	−1.13078	−	0.726711i	−0.165061	−	0.986283i	$-0.552782\pi$
$127$	−12.7433	−	8.18962i	−1.13078	−	0.726711i	−0.965724	+	0.259573i	$0.916418\pi$
$128$	−0.654861	+	0.755750i	−0.0578821	+	0.0667995i
$129$	0.767794	+	0.225445i	0.0676005	+	0.0198493i
$130$	−20.1470	+	2.89671i	−1.76701	+	0.254058i
$131$	−5.76350	+	4.99410i	−0.503559	+	0.436336i	−0.869230	−	0.494408i	$-0.835385\pi$
$131$	−5.76350	+	4.99410i	−0.503559	+	0.436336i	0.365671	+	0.930744i	$0.380839\pi$
$132$	0.790882	+	1.73179i	0.0688375	+	0.150733i
$133$	−3.28261	+	0.504195i	−0.284639	+	0.0437193i
$134$	1.60952	+	0.735044i	0.139042	+	0.0634981i
$135$	−9.64260	−	1.38640i	−0.829903	−	0.119322i
$136$	3.83288	−	2.46325i	0.328667	−	0.211222i
$137$		−	11.1810i		−	0.955253i	−0.878563	−	0.477627i	$-0.841497\pi$
$137$		−	11.1810i		−	0.955253i	0.878563	−	0.477627i	$-0.158503\pi$
$138$	−1.83979	−	0.717759i	−0.156613	−	0.0610997i
$139$			17.4499i			1.48008i	0.672561	+	0.740042i	$0.265194\pi$
$139$			17.4499i			1.48008i	−0.672561	+	0.740042i	$0.734806\pi$
$140$	9.72194	−	4.55322i	0.821654	−	0.384817i
$141$	−0.0666362	+	0.463465i	−0.00561178	+	0.0390308i
$142$	−0.362796	+	0.794413i	−0.0304452	+	0.0666657i
$143$	22.2530	−	6.53408i	1.86089	−	0.546407i
$144$	1.17581	+	2.57465i	0.0979838	+	0.214554i
$145$	−20.8782	−	24.0948i	−1.73384	−	2.00096i
$146$	−6.37523	+	0.916619i	−0.527617	+	0.0758599i
$147$	−1.51152	+	2.45439i	−0.124668	+	0.202434i
$148$	5.50194	+	4.76746i	0.452257	+	0.391883i
$149$	1.36025	−	2.11659i	0.111436	−	0.173398i	−0.781056	−	0.624461i	$-0.785319\pi$
$149$	1.36025	−	2.11659i	0.111436	−	0.173398i	0.892492	+	0.451063i	$0.148955\pi$
$150$	2.55219	−	3.97129i	0.208386	−	0.324255i
$151$	6.80436	−	7.85266i	0.553731	−	0.639040i	−0.408017	−	0.912974i	$-0.633780\pi$
$151$	6.80436	−	7.85266i	0.553731	−	0.639040i	0.961748	+	0.273934i	$0.0883251\pi$
$152$	1.20441	+	0.353648i	0.0976909	+	0.0286846i
$153$	−1.83528	−	12.7646i	−0.148374	−	1.03196i
$154$	−10.2265	+	6.71184i	−0.824076	+	0.540856i
$155$	12.8065	−	5.84852i	1.02864	−	0.469765i
$156$	−1.98197	+	0.581959i	−0.158685	+	0.0465940i
$157$	−2.11881	+	4.63956i	−0.169100	+	0.370277i	−0.975142	−	0.221581i	$-0.928878\pi$
$157$	−2.11881	+	4.63956i	−0.169100	+	0.370277i	0.806042	+	0.591858i	$0.201605\pi$
$158$	−11.0088	−	1.58282i	−0.875809	−	0.125922i
$159$	−0.875416	+	0.562595i	−0.0694250	+	0.0446167i
$160$	−4.05759			−0.320780
$161$	2.76364	−	12.3840i	0.217805	−	0.975992i
$162$	7.50266			0.589465
$163$	−15.6555	+	10.0612i	−1.22624	+	0.788055i	−0.983301	−	0.181987i	$-0.941747\pi$
$163$	−15.6555	+	10.0612i	−1.22624	+	0.788055i	−0.242936	+	0.970042i	$0.578111\pi$
$164$	−4.93467	−	0.709498i	−0.385333	−	0.0554025i
$165$	−3.20907	+	7.02689i	−0.249826	+	0.547042i
$166$	7.63878	−	2.24295i	0.592884	−	0.174086i
$167$	12.4336	−	5.67823i	0.962141	−	0.439395i	0.128505	−	0.991709i	$-0.458982\pi$
$167$	12.4336	−	5.67823i	0.962141	−	0.439395i	0.833636	+	0.552314i	$0.186255\pi$
$168$	0.910826	−	0.597791i	0.0702717	−	0.0461206i
$169$	1.73106	+	12.0398i	0.133159	+	0.926139i
$170$	17.7381	+	5.20839i	1.36045	+	0.399465i
$171$	2.32668	−	2.68513i	0.177926	−	0.205337i
$172$	1.05061	−	1.63479i	0.0801085	−	0.124651i
$173$	13.3101	−	20.7110i	1.01195	−	1.57462i	0.209585	−	0.977790i	$-0.432789\pi$
$173$	13.3101	−	20.7110i	1.01195	−	1.57462i	0.802365	−	0.596834i	$-0.203575\pi$
$174$	−2.44525	−	2.11882i	−0.185374	−	0.160628i
$175$	27.7097	+	12.3343i	2.09466	+	0.932387i
$176$	4.57634	−	0.657978i	0.344954	−	0.0495969i
$177$	2.56565	+	2.96092i	0.192846	+	0.222556i
$178$	−0.717574	−	1.57127i	−0.0537845	−	0.117772i
$179$	16.9463	−	4.97588i	1.26663	−	0.371915i	0.421669	−	0.906750i	$-0.361444\pi$
$179$	16.9463	−	4.97588i	1.26663	−	0.371915i	0.844957	+	0.534835i	$0.179626\pi$
$180$	−4.77093	+	10.4469i	−0.355604	+	0.778664i
$181$	−1.74645	+	12.1469i	−0.129813	+	0.902869i	0.815976	+	0.578086i	$0.196200\pi$
$181$	−1.74645	+	12.1469i	−0.129813	+	0.902869i	−0.945789	+	0.324783i	$0.894709\pi$
$182$	−5.62908	−	12.0191i	−0.417255	−	0.890915i
$183$			0.945751i			0.0699119i
$184$	−2.93119	+	3.79581i	−0.216090	+	0.279831i
$185$			29.5397i			2.17180i
$186$	1.20197	−	0.772456i	0.0881324	−	0.0566392i
$187$	−20.8505	−	2.99785i	−1.52474	−	0.219225i
$188$	1.03433	+	0.472360i	0.0754359	+	0.0344504i
$189$	−0.964349	−	6.27849i	−0.0701461	−	0.456693i
$190$	2.11585	+	4.63306i	0.153500	+	0.336117i
$191$	−10.7349	+	9.30182i	−0.776749	+	0.673056i	−0.950149	−	0.311795i	$-0.899070\pi$
$191$	−10.7349	+	9.30182i	−0.776749	+	0.673056i	0.173401	+	0.984851i	$0.444524\pi$
$192$	−0.407592	+	0.0586029i	−0.0294154	+	0.00422930i
$193$	−1.97872	−	0.581004i	−0.142431	−	0.0418216i	0.209740	−	0.977757i	$-0.432738\pi$
$193$	−1.97872	−	0.581004i	−0.142431	−	0.0418216i	−0.352171	+	0.935936i	$0.614556\pi$
$194$	5.53461	−	6.38728i	0.397362	−	0.458580i
$195$	−7.05098	−	4.53139i	−0.504931	−	0.324500i
$196$	4.68480	+	5.20122i	0.334628	+	0.371516i
$197$	3.75903	−	4.33815i	0.267820	−	0.309081i	−0.605870	−	0.795563i	$-0.707175\pi$
$197$	3.75903	−	4.33815i	0.267820	−	0.309081i	0.873690	+	0.486483i	$0.161720\pi$
$198$	3.68681	−	12.5561i	0.262010	−	0.892326i
$199$	−0.125752	−	0.874622i	−0.00891430	−	0.0620003i	0.984879	−	0.173245i	$-0.0554253\pi$
$199$	−0.125752	−	0.874622i	−0.00891430	−	0.0620003i	−0.993793	+	0.111245i	$0.964516\pi$
$200$	−7.50732	−	8.66391i	−0.530848	−	0.612631i
$201$	0.302679	+	0.662774i	0.0213493	+	0.0467485i
$202$	−3.45140	−	11.7544i	−0.242840	−	0.827037i
$203$	11.0707	−	17.5957i	0.777011	−	1.23497i
$204$	1.85705	+	0.267004i	0.130020	+	0.0186940i
$205$	−10.9365	−	17.0175i	−0.763837	−	1.18855i
$206$	6.91819			0.482013
$207$	6.32638	+	12.0099i	0.439714	+	0.834747i
$208$			5.01633i			0.347820i
$209$	−3.13765	−	4.88227i	−0.217036	−	0.337714i
$210$	4.25334	+	1.20464i	0.293508	+	0.0831282i
$211$	−0.239796	+	0.525080i	−0.0165082	+	0.0361480i	−0.917707	−	0.397259i	$-0.869961\pi$
$211$	−0.239796	+	0.525080i	−0.0165082	+	0.0361480i	0.901198	+	0.433407i	$0.142689\pi$
$212$	0.711960	+	2.42471i	0.0488976	+	0.166530i
$213$	−0.327126	+	0.149393i	−0.0224143	+	0.0102363i
$214$	5.54139	−	4.80164i	0.378802	−	0.328234i
$215$	7.80474	−	1.12215i	0.532279	−	0.0765302i
$216$	−0.676405	+	2.30362i	−0.0460235	+	0.156742i
$217$	6.07802	+	6.87976i	0.412603	+	0.467029i
$218$	−2.31764	+	3.60632i	−0.156971	+	0.244251i
$219$	−2.23118	−	1.43389i	−0.150769	−	0.0968934i
$220$	14.1777	+	12.2851i	0.955862	+	0.828259i
$221$	6.43906	−	21.9294i	0.433138	−	1.47513i
$222$	0.426635	+	2.96731i	0.0286339	+	0.199153i
$223$	15.4383	−	13.3774i	1.03383	−	0.895817i	0.0391900	−	0.999232i	$-0.487522\pi$
$223$	15.4383	−	13.3774i	1.03383	−	0.895817i	0.994638	+	0.103414i	$0.0329768\pi$
$224$	−0.769743	−	2.53130i	−0.0514306	−	0.169130i
$225$	−31.1337	+	9.14168i	−2.07558	+	0.609446i
$226$	16.7644	+	7.65603i	1.11515	+	0.509272i
$227$	0.159964	−	1.11257i	0.0106172	−	0.0738440i	−0.983824	−	0.179138i	$-0.942669\pi$
$227$	0.159964	−	1.11257i	0.0106172	−	0.0738440i	0.994441	+	0.105294i	$0.0335783\pi$
$228$	0.279455	+	0.434840i	0.0185074	+	0.0287980i
$229$	−8.95288			−0.591623			−0.295812	−	0.955246i	$-0.595590\pi$
$229$	−8.95288			−0.591623			−0.295812	+	0.955246i	$0.595590\pi$
$230$	−19.4285	+	1.09750i	−1.28108	+	0.0723669i
$231$	−4.99246	−	0.668930i	−0.328480	−	0.0440124i
$232$	−6.61004	+	4.24802i	−0.433971	+	0.278896i
$233$	2.48452	−	17.2802i	0.162766	−	1.13206i	−0.730623	−	0.682781i	$-0.760770\pi$
$233$	2.48452	−	17.2802i	0.162766	−	1.13206i	0.893389	−	0.449283i	$-0.148321\pi$
$234$	12.9153	+	5.89823i	0.844301	+	0.385579i
$235$	1.29986	+	4.42691i	0.0847934	+	0.288780i
$236$	8.65457	−	3.95241i	0.563364	−	0.257280i
$237$	−2.99915	−	3.46121i	−0.194816	−	0.224830i
$238$	0.115781	+	12.0539i	0.00750498	+	0.781339i
$239$	5.58285	+	1.63927i	0.361125	+	0.106036i	0.457261	−	0.889332i	$-0.348830\pi$
$239$	5.58285	+	1.63927i	0.361125	+	0.106036i	−0.0961367	+	0.995368i	$0.530649\pi$
$240$	−1.26274	−	1.09417i	−0.0815096	−	0.0706284i
$241$	13.0523	+	8.38819i	0.840771	+	0.540331i	0.888684	−	0.458521i	$-0.151621\pi$
$241$	13.0523	+	8.38819i	0.840771	+	0.540331i	−0.0479129	+	0.998852i	$0.515257\pi$
$242$	−8.72866	−	5.60957i	−0.561100	−	0.360597i
$243$	7.77825	+	6.73989i	0.498975	+	0.432364i
$244$	2.20369	+	0.647061i	0.141077	+	0.0414238i
$245$	−3.50140	+	28.1865i	−0.223696	+	1.80077i
$246$	−1.34437	−	1.55149i	−0.0857139	−	0.0989191i
$247$	5.72778	−	2.61579i	0.364450	−	0.166439i
$248$	−0.977537	−	3.32919i	−0.0620737	−	0.211404i
$249$	2.98206	+	1.36186i	0.188980	+	0.0863045i
$250$	3.73266	−	25.9613i	0.236074	−	1.64193i
$251$	−22.8782	+	14.7029i	−1.44406	+	0.928039i	−0.444579	+	0.895740i	$0.646647\pi$
$251$	−22.8782	+	14.7029i	−1.44406	+	0.928039i	−0.999478	+	0.0322998i	$0.989717\pi$
$252$	−7.42230	−	0.994499i	−0.467561	−	0.0626475i
$253$	21.7344	−	4.38834i	1.36643	−	0.275892i
$254$	−15.1480			−0.950469
$255$	4.11570	+	6.40416i	0.257735	+	0.401044i
$256$	−0.142315	+	0.989821i	−0.00889468	+	0.0618638i
$257$	−8.93689	−	4.08134i	−0.557468	−	0.254587i	0.116698	−	0.993167i	$-0.462769\pi$
$257$	−8.93689	−	4.08134i	−0.557468	−	0.254587i	−0.674165	+	0.738581i	$0.735496\pi$
$258$	0.767794	−	0.225445i	0.0478007	−	0.0140356i
$259$	−18.4282	+	5.60381i	−1.14507	+	0.348204i
$260$	−15.3827	+	13.3292i	−0.953993	+	0.826640i
$261$	3.16505	+	22.0134i	0.195912	+	1.36260i
$262$	−2.14855	+	7.31728i	−0.132738	+	0.452063i
$263$	−20.8501	−	18.0667i	−1.28567	−	1.11404i	−0.987177	−	0.159627i	$-0.948971\pi$
$263$	−20.8501	−	18.0667i	−1.28567	−	1.11404i	−0.298493	−	0.954412i	$-0.596484\pi$
$264$	1.60161	+	1.02929i	0.0985722	+	0.0633485i
$265$	−5.54364	+	8.62608i	−0.340543	+	0.529896i
$266$	−2.48892	+	2.19887i	−0.152606	+	0.134821i
$267$	0.200397	−	0.682488i	0.0122641	−	0.0417676i
$268$	1.75141	−	0.251815i	0.106984	−	0.0153820i
$269$	−1.17234	+	1.01584i	−0.0714788	+	0.0619367i	−0.689867	−	0.723936i	$-0.742331\pi$
$269$	−1.17234	+	1.01584i	−0.0714788	+	0.0619367i	0.618389	+	0.785872i	$0.287786\pi$
$270$	−8.86141	+	4.04687i	−0.539288	+	0.246285i
$271$	3.33360	+	11.3532i	0.202501	+	0.689657i	0.996639	+	0.0819186i	$0.0261048\pi$
$271$	3.33360	+	11.3532i	0.202501	+	0.689657i	−0.794138	+	0.607738i	$0.792077\pi$
$272$	1.89270	−	4.14443i	0.114762	−	0.251293i
$273$	1.48928	−	5.25835i	0.0901354	−	0.318250i
$274$	−6.04488	−	9.40602i	−0.365185	−	0.568238i
$275$			53.0026i			3.19618i
$276$	−1.93578	+	0.390848i	−0.116520	+	0.0235263i
$277$	−10.7133			−0.643697			−0.321848	−	0.946791i	$-0.604304\pi$
$277$	−10.7133			−0.643697			−0.321848	+	0.946791i	$0.604304\pi$
$278$	9.43414	+	14.6798i	0.565822	+	0.880437i
$279$	−9.72090	−	1.39765i	−0.581975	−	0.0836754i
$280$	5.71696	−	9.08649i	0.341654	−	0.543022i
$281$	−6.37798	−	21.7214i	−0.380479	−	1.29579i	−0.897953	−	0.440092i	$-0.854946\pi$
$281$	−6.37798	−	21.7214i	−0.380479	−	1.29579i	0.517474	−	0.855699i	$-0.326872\pi$
$282$	0.194510	+	0.425918i	0.0115829	+	0.0253630i
$283$	0.407698	+	0.470508i	0.0242351	+	0.0279688i	0.767738	−	0.640764i	$-0.221382\pi$
$283$	0.407698	+	0.470508i	0.0242351	+	0.0279688i	−0.743503	+	0.668733i	$0.766837\pi$
$284$	0.124288	+	0.864445i	0.00737516	+	0.0512954i
$285$	−0.590891	+	2.01239i	−0.0350014	+	0.119204i
$286$	15.1879	−	17.5277i	0.898077	−	1.03644i
$287$	8.54157	−	10.0510i	0.504193	−	0.593289i
$288$	2.38111	+	1.53025i	0.140308	+	0.0901708i
$289$	−2.46135	+	2.84055i	−0.144785	+	0.167091i
$290$	−30.5905	−	8.98219i	−1.79634	−	0.527452i
$291$	3.44479	−	0.495287i	0.201937	−	0.0290342i
$292$	−4.86762	+	4.21782i	−0.284856	+	0.246829i
$293$	−2.87071	−	6.28597i	−0.167708	−	0.367230i	0.807053	−	0.590479i	$-0.201061\pi$
$293$	−2.87071	−	6.28597i	−0.167708	−	0.367230i	−0.974762	+	0.223249i	$0.928334\pi$
$294$	0.0553690	+	2.88195i	0.00322919	+	0.168079i
$295$	35.1166	+	16.0372i	2.04457	+	0.933724i
$296$	7.20601	+	1.03607i	0.418841	+	0.0602202i
$297$	9.33808	−	6.00122i	0.541850	−	0.348226i
$298$		−	2.51600i		−	0.145748i
$299$	1.35682	+	24.0192i	0.0784671	+	1.38907i
$300$		−	4.72068i		−	0.272549i
$301$	2.18064	+	4.65607i	0.125690	+	0.268371i
$302$	1.47873	−	10.2848i	0.0850913	−	0.591823i
$303$	2.09561	−	4.58874i	0.120389	−	0.263616i
$304$	1.20441	−	0.353648i	0.0690779	−	0.0202831i
$305$	3.87131	+	8.47699i	0.221671	+	0.485391i
$306$	−8.44503	−	9.74608i	−0.482770	−	0.557146i
$307$	−33.0694	+	4.75466i	−1.88737	+	0.271363i	−0.986628	−	0.162991i	$-0.947886\pi$
$307$	−33.0694	+	4.75466i	−1.88737	+	0.271363i	−0.900742	+	0.434354i	$0.856977\pi$
$308$	−4.97440	+	11.1752i	−0.283443	+	0.636768i
$309$	2.15298	+	1.86556i	0.122479	+	0.106128i
$310$	7.61155	−	11.8438i	0.432307	−	0.672682i
$311$	7.17180	−	11.1595i	0.406675	−	0.632799i	−0.576149	−	0.817345i	$-0.695445\pi$
$311$	7.17180	−	11.1595i	0.406675	−	0.632799i	0.982824	+	0.184546i	$0.0590814\pi$
$312$	−1.35271	+	1.56111i	−0.0765820	+	0.0883804i
$313$	−32.1300	−	9.43421i	−1.81609	−	0.533253i	−0.817033	−	0.576591i	$-0.804383\pi$
$313$	−32.1300	−	9.43421i	−1.81609	−	0.533253i	−0.999060	+	0.0433382i	$0.986201\pi$
$314$	0.725874	+	5.04856i	0.0409634	+	0.284907i
$315$	−16.6725	−	25.4031i	−0.939391	−	1.43130i
$316$	−10.1169	+	4.62023i	−0.569119	+	0.259908i
$317$	30.0384	−	8.82006i	1.68712	−	0.495384i	0.709315	−	0.704891i	$-0.249004\pi$
$317$	30.0384	−	8.82006i	1.68712	−	0.495384i	0.977807	+	0.209508i	$0.0671861\pi$
$318$	−0.432284	+	0.946571i	−0.0242413	+	0.0530811i
$319$	35.9580	+	5.16998i	2.01326	+	0.289463i
$320$	−3.41346	+	2.19370i	−0.190818	+	0.122631i
$321$	3.01932			0.168522
$322$	−4.37035	−	11.9122i	−0.243550	−	0.663840i
$323$	−5.71917			−0.318223
$324$	6.31164	−	4.05625i	0.350647	−	0.225347i
$325$	−56.9219	−	8.18413i	−3.15746	−	0.453974i
$326$	−7.73079	+	16.9281i	−0.428169	+	0.937558i
$327$	−1.69374	+	0.497328i	−0.0936643	+	0.0275023i
$328$	−4.53489	+	2.07101i	−0.250397	+	0.114353i
$329$	−2.51512	+	1.65072i	−0.138663	+	0.0910069i
$330$	1.09938	+	7.64635i	0.0605188	+	0.420918i
$331$	−7.87922	−	2.31355i	−0.433081	−	0.127164i	0.0579235	−	0.998321i	$-0.481552\pi$
$331$	−7.87922	−	2.31355i	−0.433081	−	0.127164i	−0.491005	+	0.871157i	$0.663370\pi$
$332$	5.21352	−	6.01672i	0.286129	−	0.330211i
$333$	11.1404	−	17.3348i	0.610489	−	0.949940i
$334$	7.38992	−	11.4989i	0.404359	−	0.629194i
$335$	5.42596	+	4.70162i	0.296452	+	0.256877i
$336$	0.443045	−	0.995324i	0.0241701	−	0.0542994i
$337$	4.40425	−	0.633235i	0.239915	−	0.0344945i	−0.0213086	−	0.999773i	$-0.506783\pi$
$337$	4.40425	−	0.633235i	0.239915	−	0.0344945i	0.261223	+	0.965278i	$0.415874\pi$
$338$	7.96547	+	9.19265i	0.433265	+	0.500014i
$339$	3.15262	+	6.90329i	0.171227	+	0.374935i
$340$	17.7381	−	5.20839i	0.961986	−	0.282465i
$341$	−6.66407	+	14.5923i	−0.360880	+	0.790216i
$342$	0.505635	−	3.51677i	0.0273416	−	0.190165i
$343$	−18.2482	+	3.16277i	−0.985310	+	0.170773i
$344$		−	1.94327i		−	0.104774i
$345$	−6.34221	−	4.89756i	−0.341453	−	0.263676i
$346$		−	24.6192i		−	1.32353i
$347$	−27.3997	+	17.6087i	−1.47089	+	0.945286i	−0.472957	+	0.881085i	$0.656814\pi$
$347$	−27.3997	+	17.6087i	−1.47089	+	0.945286i	−0.997937	+	0.0642011i	$0.979550\pi$
$348$	−3.20260	−	0.460465i	−0.171677	−	0.0246835i
$349$	7.52803	+	3.43793i	0.402966	+	0.184028i	0.606579	−	0.795023i	$-0.292541\pi$
$349$	7.52803	+	3.43793i	0.402966	+	0.184028i	−0.203613	+	0.979051i	$0.565269\pi$
$350$	29.9793	−	4.60469i	1.60246	−	0.246131i
$351$	5.00309	+	10.9552i	0.267045	+	0.584747i
$352$	3.49413	−	3.02768i	0.186238	−	0.161376i
$353$	22.8031	−	3.27859i	1.21369	−	0.174502i	0.494413	−	0.869227i	$-0.335383\pi$
$353$	22.8031	−	3.27859i	1.21369	−	0.174502i	0.719275	+	0.694725i	$0.244474\pi$
$354$	3.75915	+	1.10379i	0.199797	+	0.0586656i
$355$	−2.32058	+	2.67810i	−0.123164	+	0.142139i
$356$	−1.45315	−	0.933885i	−0.0770170	−	0.0494958i
$357$	−3.21443	+	3.78246i	−0.170126	+	0.200189i
$358$	11.5660	−	13.3478i	0.611281	−	0.705455i
$359$	−0.992466	+	3.38003i	−0.0523803	+	0.178391i	−0.981528	−	0.191317i	$-0.938724\pi$
$359$	−0.992466	+	3.38003i	−0.0523803	+	0.178391i	0.929148	+	0.369708i	$0.120542\pi$
$360$	1.63445	+	11.3678i	0.0861429	+	0.599137i
$361$	11.4105	+	13.1684i	0.600553	+	0.693075i
$362$	5.09788	+	11.1628i	0.267938	+	0.586703i
$363$	−1.20372	−	4.09950i	−0.0631791	−	0.215168i
$364$	−11.2335	−	7.06780i	−0.588795	−	0.370453i
$365$	−25.8680	−	3.71926i	−1.35399	−	0.194675i
$366$	0.511312	+	0.795616i	0.0267267	+	0.0415875i
$367$	−16.9943			−0.887093			−0.443546	−	0.896251i	$-0.646280\pi$
$367$	−16.9943			−0.887093			−0.443546	+	0.896251i	$0.646280\pi$
$368$	−0.413704	+	4.77795i	−0.0215658	+	0.249068i
$369$			14.1109i			0.734583i
$370$	15.9704	+	24.8504i	0.830259	+	1.29191i
$371$	−6.43299	−	1.82197i	−0.333984	−	0.0945918i
$372$	0.593536	−	1.29966i	0.0307734	−	0.0673844i
$373$	−2.27536	−	7.74916i	−0.117814	−	0.401236i	0.879378	−	0.476123i	$-0.157958\pi$
$373$	−2.27536	−	7.74916i	−0.117814	−	0.401236i	−0.997192	+	0.0748873i	$0.976140\pi$
$374$	−19.1613	+	8.75069i	−0.990809	+	0.452487i
$375$	8.16235	−	7.07272i	0.421502	−	0.365234i
$376$	1.12551	−	0.161823i	0.0580436	−	0.00834541i
$377$	−11.1045	+	37.8186i	−0.571913	+	1.94776i
$378$	−4.20567	−	4.76044i	−0.216316	−	0.244850i
$379$	−8.41912	+	13.1004i	−0.432461	+	0.672923i	−0.987270	−	0.159055i	$-0.949155\pi$
$379$	−8.41912	+	13.1004i	−0.432461	+	0.672923i	0.554809	+	0.831978i	$0.312792\pi$
$380$	4.28478	+	2.75366i	0.219805	+	0.141260i
$381$	−4.71413	−	4.08481i	−0.241512	−	0.209271i
$382$	−4.00181	+	13.6289i	−0.204750	+	0.697316i
$383$	−1.21827	−	8.47323i	−0.0622505	−	0.432962i	−0.996984	−	0.0776113i	$-0.975271\pi$
$383$	−1.21827	−	8.47323i	−0.0622505	−	0.432962i	0.934733	−	0.355350i	$-0.115638\pi$
$384$	−0.311205	+	0.269661i	−0.0158811	+	0.0137611i
$385$	−47.4868	+	14.4402i	−2.42015	+	0.735942i
$386$	−1.97872	+	0.581004i	−0.100714	+	0.0295723i
$387$	−5.00326	−	2.28491i	−0.254330	−	0.116149i
$388$	1.20278	−	8.36555i	0.0610621	−	0.424697i
$389$	−5.20806	−	8.10389i	−0.264059	−	0.410884i	0.683753	−	0.729713i	$-0.260347\pi$
$389$	−5.20806	−	8.10389i	−0.264059	−	0.410884i	−0.947812	+	0.318830i	$0.896710\pi$
$390$	−8.38152			−0.424415
$391$	7.94162	−	20.3563i	0.401625	−	1.02946i
$392$	6.75309	+	1.84275i	0.341083	+	0.0930729i
$393$	−2.64182	+	1.69780i	−0.133262	+	0.0856425i
$394$	0.816915	−	5.68177i	0.0411556	−	0.286243i
$395$	−41.0501	−	18.7470i	−2.06546	−	0.943262i
$396$	−3.68681	−	12.5561i	−0.185269	−	0.630969i
$397$	30.8144	−	14.0725i	1.54653	−	0.706276i	0.554489	−	0.832191i	$-0.312914\pi$
$397$	30.8144	−	14.0725i	1.54653	−	0.706276i	0.992041	+	0.125915i	$0.0401866\pi$
$398$	−0.578645	−	0.667792i	−0.0290049	−	0.0334734i
$399$	−1.36751	+	0.0131354i	−0.0684613	+	0.000657590i
$400$	−10.9996	−	3.22978i	−0.549981	−	0.161489i
$401$	9.21390	+	7.98389i	0.460120	+	0.398697i	0.853841	−	0.520533i	$-0.174267\pi$
$401$	9.21390	+	7.98389i	0.460120	+	0.398697i	−0.393721	+	0.919230i	$0.628812\pi$
$402$	0.612952	+	0.393921i	0.0305713	+	0.0196470i
$403$	−14.6423	−	9.41005i	−0.729386	−	0.468748i
$404$	−9.25842	−	8.02246i	−0.460623	−	0.399133i
$405$	29.2096	+	8.57670i	1.45143	+	0.426180i
$406$	−0.199672	−	20.7877i	−0.00990953	−	1.03168i
$407$	−22.0418	−	25.4376i	−1.09257	−	1.26090i
$408$	1.70661	−	0.779381i	0.0844896	−	0.0385851i
$409$	6.22369	+	21.1960i	0.307742	+	1.04807i	0.957620	+	0.288034i	$0.0930017\pi$
$409$	6.22369	+	21.1960i	0.307742	+	1.04807i	−0.649878	+	0.760038i	$0.725180\pi$
$410$	−18.4007	−	8.40332i	−0.908746	−	0.415010i
$411$	0.655236	−	4.55727i	0.0323204	−	0.224793i
$412$	5.81995	−	3.74026i	0.286729	−	0.184269i
$413$	−3.34296	+	24.9497i	−0.164496	+	1.22769i
$414$	11.8151	+	6.68309i	0.580683	+	0.328456i
$415$	32.3035			1.58572
$416$	2.71204	+	4.22001i	0.132968	+	0.206903i
$417$	−1.02262	+	7.11245i	−0.0500777	+	0.348298i
$418$	−5.27911	−	2.41089i	−0.258210	−	0.117920i
$419$	22.6344	−	6.64607i	1.10576	−	0.324682i	0.322624	−	0.946527i	$-0.395435\pi$
$419$	22.6344	−	6.64607i	1.10576	−	0.324682i	0.783140	+	0.621845i	$0.213617\pi$
$420$	4.22942	−	1.28612i	0.206374	−	0.0627563i
$421$	−29.9284	+	25.9331i	−1.45862	+	1.26390i	−0.557608	+	0.830104i	$0.688281\pi$
$421$	−29.9284	+	25.9331i	−1.45862	+	1.26390i	−0.901011	+	0.433797i	$0.857174\pi$
$422$	0.0821504	+	0.571369i	0.00399902	+	0.0278138i
$423$	0.906737	−	3.08806i	0.0440871	−	0.150147i
$424$	1.90984	+	1.65488i	0.0927500	+	0.0803683i
$425$	43.9402	+	28.2386i	2.13141	+	1.36978i
$426$	−0.194428	+	0.302535i	−0.00942005	+	0.0146579i
$427$	−4.55392	+	4.02322i	−0.220380	+	0.194697i
$428$	2.06575	−	7.03530i	0.0998518	−	0.340064i
$429$	9.45307	−	1.35915i	0.456399	−	0.0656202i
$430$	5.95909	−	5.16358i	0.287373	−	0.249010i
$431$	16.0704	−	7.33910i	0.774083	−	0.353512i	0.0111068	−	0.999938i	$-0.496465\pi$
$431$	16.0704	−	7.33910i	0.774083	−	0.353512i	0.762976	+	0.646426i	$0.223737\pi$
$432$	0.676405	+	2.30362i	0.0325435	+	0.110833i
$433$	8.12569	−	17.7928i	0.390496	−	0.855066i	−0.607651	−	0.794204i	$-0.707888\pi$
$433$	8.12569	−	17.7928i	0.390496	−	0.855066i	0.998146	−	0.0608616i	$-0.0193848\pi$
$434$	8.83264	+	2.50160i	0.423980	+	0.120081i
$435$	−7.09778	−	11.0444i	−0.340312	−	0.529537i
$436$			4.28684i			0.205303i
$437$	5.67132	−	2.01911i	0.271296	−	0.0965870i
$438$	−2.65221			−0.126727
$439$	19.5364	+	30.3993i	0.932423	+	1.45088i	0.892175	+	0.451689i	$0.149178\pi$
$439$	19.5364	+	30.3993i	0.932423	+	1.45088i	0.0402478	+	0.999190i	$0.487185\pi$
$440$	18.5689	+	2.66980i	0.885236	+	0.127278i
$441$	12.6848	−	15.2202i	0.604036	−	0.724770i
$442$	−6.43906	−	21.9294i	−0.306275	−	1.04308i
$443$	11.2487	+	24.6313i	0.534443	+	1.17027i	0.963676	+	0.267073i	$0.0860566\pi$
$443$	11.2487	+	24.6313i	0.534443	+	1.17027i	−0.429233	+	0.903194i	$0.641216\pi$
$444$	1.96316	+	2.26561i	0.0931674	+	0.107521i
$445$	−0.997476	−	6.93760i	−0.0472849	−	0.328874i
$446$	5.75519	−	19.6004i	0.272516	−	0.928105i
$447$	0.678466	−	0.782991i	0.0320903	−	0.0370342i
$448$	−2.01607	−	1.71331i	−0.0952506	−	0.0809465i
$449$	24.0534	+	15.4582i	1.13515	+	0.729516i	0.966629	−	0.256182i	$-0.0824645\pi$
$449$	24.0534	+	15.4582i	1.13515	+	0.729516i	0.168521	+	0.985698i	$0.446101\pi$
$450$	−21.2490	+	24.5226i	−1.00169	+	1.15601i
$451$	22.1159	+	6.49380i	1.04140	+	0.305781i
$452$	18.2422	−	2.62284i	0.858043	−	0.123368i
$453$	3.23359	−	2.80192i	0.151927	−	0.131646i
$454$	−0.466932	−	1.02244i	−0.0219142	−	0.0479854i
$455$	−8.17559	−	53.2280i	−0.383277	−	2.49537i
$456$	0.470185	+	0.214726i	0.0220184	+	0.0100555i
$457$	27.1112	+	3.89800i	1.26821	+	0.182341i	0.743382	−	0.668868i	$-0.233221\pi$
$457$	27.1112	+	3.89800i	1.26821	+	0.182341i	0.524828	+	0.851209i	$0.324130\pi$
$458$	−7.53164	+	4.84029i	−0.351931	+	0.226172i
$459$		−	10.9388i		−	0.510578i
$460$	−15.7510	+	11.4271i	−0.734392	+	0.532793i
$461$			17.7041i			0.824562i	0.911057	+	0.412281i	$0.135268\pi$
$461$			17.7041i			0.824562i	−0.911057	+	0.412281i	$0.864732\pi$
$462$	−4.56158	+	2.13639i	−0.212224	+	0.0993938i
$463$	1.04049	−	7.23677i	0.0483557	−	0.336321i	−0.951255	−	0.308407i	$-0.900204\pi$
$463$	1.04049	−	7.23677i	0.0483557	−	0.336321i	0.999610	−	0.0279146i	$-0.00888665\pi$
$464$	−3.26407	+	7.14732i	−0.151531	+	0.331806i
$465$	5.56256	−	1.63331i	0.257957	−	0.0757431i
$466$	−7.25228	−	15.8803i	−0.335955	−	0.735639i
$467$	−17.7120	−	20.4408i	−0.819615	−	0.945886i	0.179668	−	0.983727i	$-0.442497\pi$
$467$	−17.7120	−	20.4408i	−0.819615	−	0.945886i	−0.999284	+	0.0378407i	$0.987952\pi$
$468$	14.0539	−	2.02064i	0.649641	−	0.0934043i
$469$	−1.90375	+	4.27688i	−0.0879071	+	0.197488i
$470$	3.48688	+	3.02140i	0.160838	+	0.139367i
$471$	−1.13550	+	1.76688i	−0.0523212	+	0.0814134i
$472$	5.14385	−	8.00399i	0.236765	−	0.368413i
$473$	−5.88361	+	6.79005i	−0.270529	+	0.312207i
$474$	−4.39432	−	1.29029i	−0.201838	−	0.0592649i
$475$	2.04796	+	14.2438i	0.0939666	+	0.653552i
$476$	6.61424	+	10.0778i	0.303163	+	0.461915i
$477$	6.50635	−	2.97135i	0.297905	−	0.136049i
$478$	5.58285	−	1.63927i	0.255354	−	0.0749786i
$479$	−3.95458	+	8.65932i	−0.180689	+	0.395655i	−0.978204	−	0.207645i	$-0.933420\pi$
$479$	−3.95458	+	8.65932i	−0.180689	+	0.395655i	0.797515	+	0.603299i	$0.206148\pi$
$480$	−1.65384	−	0.237786i	−0.0754871	−	0.0108534i
$481$	30.7221	−	19.7439i	1.40081	−	0.900245i
$482$	15.5153			0.706701
$483$	1.85217	−	4.88564i	0.0842768	−	0.222304i
$484$	−10.3758			−0.471626
$485$	28.8491	−	18.5402i	1.30997	−	0.841867i
$486$	10.1873	+	1.46472i	0.462107	+	0.0664410i
$487$	−2.53748	+	5.55630i	−0.114984	+	0.251780i	−0.958371	−	0.285527i	$-0.907831\pi$
$487$	−2.53748	+	5.55630i	−0.114984	+	0.251780i	0.843386	+	0.537307i	$0.180559\pi$
$488$	2.20369	−	0.647061i	0.0997562	−	0.0292911i
$489$	−6.97069	+	3.18341i	−0.315226	+	0.143959i
$490$	12.2932	+	25.6050i	0.555349	+	1.15671i
$491$	−5.78842	−	40.2593i	−0.261228	−	1.81688i	−0.523660	−	0.851927i	$-0.675434\pi$
$491$	−5.78842	−	40.2593i	−0.261228	−	1.81688i	0.262433	−	0.964950i	$-0.415475\pi$
$492$	−1.96975	−	0.578371i	−0.0888033	−	0.0260750i
$493$	23.4436	−	27.0554i	1.05585	−	1.21851i
$494$	3.40431	−	5.29722i	0.153167	−	0.238333i
$495$	28.7072	−	44.6692i	1.29029	−	2.00773i
$496$	−2.62225	−	2.27219i	−0.117743	−	0.102024i
$497$	−2.11094	−	0.939637i	−0.0946887	−	0.0421485i
$498$	3.24495	−	0.466553i	0.145410	−	0.0209067i
$499$	−12.7733	−	14.7412i	−0.571813	−	0.659908i	0.394011	−	0.919106i	$-0.371087\pi$
$499$	−12.7733	−	14.7412i	−0.571813	−	0.659908i	−0.965824	+	0.259198i	$0.916542\pi$
$500$	−10.8956	−	23.8580i	−0.487266	−	1.06696i
$501$	5.40060	−	1.58576i	0.241281	−	0.0708464i
$502$	−11.2974	+	24.7377i	−0.504225	+	1.10410i
$503$	−0.340455	+	2.36792i	−0.0151801	+	0.105580i	−0.996003	−	0.0893222i	$-0.971530\pi$
$503$	−0.340455	+	2.36792i	−0.0151801	+	0.105580i	0.980823	+	0.194902i	$0.0624390\pi$
$504$	−6.78170	+	3.17617i	−0.302081	+	0.141478i
$505$		−	49.7080i		−	2.21198i
$506$	15.9117	−	15.4422i	0.707359	−	0.686491i
$507$			5.00877i			0.222447i
$508$	−12.7433	+	8.18962i	−0.565392	+	0.363355i
$509$	−35.8002	−	5.14729i	−1.58682	−	0.228150i	−0.708318	−	0.705894i	$-0.750545\pi$
$509$	−35.8002	−	5.14729i	−1.58682	−	0.228150i	−0.878499	+	0.477744i	$0.841455\pi$
$510$	6.92470	+	3.16240i	0.306631	+	0.140034i
$511$	−2.58704	−	16.8432i	−0.114444	−	0.745099i
$512$	0.415415	+	0.909632i	0.0183589	+	0.0402004i
$513$	2.27762	−	1.97357i	0.100559	−	0.0871353i
$514$	−9.72473	+	1.39820i	−0.428939	+	0.0616722i
$515$	26.9341	+	7.90856i	1.18686	+	0.348493i
$516$	0.524025	−	0.604757i	0.0230689	−	0.0266229i
$517$	−4.42262	−	2.84224i	−0.194506	−	0.125002i
$518$	−12.4731	+	14.6772i	−0.548037	+	0.644881i
$519$	6.63882	−	7.66160i	0.291412	−	0.336307i
$520$	−5.73444	+	19.5297i	−0.251472	+	0.856435i
$521$	3.60479	+	25.0719i	0.157929	+	1.09842i	0.902442	+	0.430811i	$0.141773\pi$
$521$	3.60479	+	25.0719i	0.157929	+	1.09842i	−0.744513	+	0.667608i	$0.767318\pi$
$522$	14.5640	+	16.8077i	0.637447	+	0.735653i
$523$	−9.59096	−	21.0013i	−0.419384	−	0.918322i	−0.994932	−	0.100554i	$-0.967938\pi$
$523$	−9.59096	−	21.0013i	−0.419384	−	0.918322i	0.575548	−	0.817768i	$-0.304789\pi$
$524$	2.14855	+	7.31728i	0.0938598	+	0.319657i
$525$	10.5714	+	6.65124i	0.461375	+	0.290284i
$526$	−27.3078	−	3.92627i	−1.19068	−	0.171193i
$527$	8.54681	+	13.2991i	0.372305	+	0.579318i
$528$	1.90384			0.0828539
$529$	−0.688551	+	22.9897i	−0.0299370	+	0.999552i
$530$			10.2538i			0.445398i
$531$	−14.5593	−	22.6548i	−0.631821	−	0.983133i
$532$	−0.905015	+	3.19542i	−0.0392374	+	0.138539i
$533$	−10.3889	+	22.7485i	−0.449993	+	0.985348i
$534$	−0.200397	−	0.682488i	−0.00867201	−	0.0295342i
$535$	27.0629	−	12.3592i	1.17003	−	0.534335i
$536$	1.33724	−	1.15872i	0.0577599	−	0.0500493i
$537$	7.19878	−	1.03503i	0.310650	−	0.0446647i
$538$	−0.437031	+	1.48839i	−0.0188418	+	0.0641691i
$539$	−18.0169	−	26.8850i	−0.776044	−	1.15802i
$540$	−5.26679	+	8.19529i	−0.226647	+	0.352669i
$541$	−9.32400	−	5.99217i	−0.400870	−	0.257623i	0.324636	−	0.945839i	$-0.394758\pi$
$541$	−9.32400	−	5.99217i	−0.400870	−	0.257623i	−0.725506	+	0.688215i	$0.758394\pi$
$542$	8.94239	+	7.74863i	0.384109	+	0.332832i
$543$	−1.42368	+	4.84861i	−0.0610960	+	0.208074i
$544$	−0.648409	−	4.50978i	−0.0278003	−	0.193355i
$545$	−13.1457	+	11.3908i	−0.563099	+	0.487928i
$546$	−1.59001	−	5.22877i	−0.0680463	−	0.223771i
$547$	−37.6162	+	11.0451i	−1.60835	+	0.472255i	−0.957855	−	0.287252i	$-0.907258\pi$
$547$	−37.6162	+	11.0451i	−1.60835	+	0.472255i	−0.650499	+	0.759507i	$0.725440\pi$
$548$	−10.1706	−	4.64474i	−0.434465	−	0.198413i
$549$	0.925148	−	6.43455i	0.0394844	−	0.274620i
$550$	28.6554	+	44.5886i	1.22187	+	1.90126i
$551$	9.86306			0.420180
$552$	−1.41717	+	1.37536i	−0.0603189	+	0.0585394i
$553$	3.90780	−	29.1653i	0.166177	−	1.24023i
$554$	−9.01256	+	5.79202i	−0.382907	+	0.246079i
$555$	−1.73111	+	12.0401i	−0.0734815	+	0.511075i
$556$	15.8730	+	7.24896i	0.673166	+	0.307424i
$557$	6.23457	+	21.2330i	0.264167	+	0.899671i	0.979595	+	0.200984i	$0.0644138\pi$
$557$	6.23457	+	21.2330i	0.264167	+	0.899671i	−0.715427	+	0.698687i	$0.753768\pi$
$558$	−8.93337	+	4.07973i	−0.378180	+	0.172709i
$559$	−6.38366	−	7.36713i	−0.270000	−	0.311596i
$560$	−0.103111	−	10.7349i	−0.00435725	−	0.453631i
$561$	−8.32282	−	2.44380i	−0.351390	−	0.103177i
$562$	−17.1090	−	14.8250i	−0.721699	−	0.625356i
$563$	−4.73400	−	3.04236i	−0.199514	−	0.128220i	0.437069	−	0.899428i	$-0.356017\pi$
$563$	−4.73400	−	3.04236i	−0.199514	−	0.128220i	−0.636583	+	0.771208i	$0.719653\pi$
$564$	0.393901	+	0.253145i	0.0165862	+	0.0106593i
$565$	56.5154	+	48.9709i	2.37762	+	2.06022i
$566$	0.597353	+	0.175399i	0.0251086	+	0.00737256i
$567$	0.190658	+	19.8493i	0.00800687	+	0.833591i
$568$	0.571912	+	0.660022i	0.0239969	+	0.0276939i
$569$	−6.25765	+	2.85777i	−0.262334	+	0.119804i	−0.542241	−	0.840223i	$-0.682424\pi$
$569$	−6.25765	+	2.85777i	−0.262334	+	0.119804i	0.279906	+	0.960027i	$0.409697\pi$
$570$	0.590891	+	2.01239i	0.0247497	+	0.0842898i
$571$	−4.79619	−	2.19035i	−0.200714	−	0.0916631i	0.312522	−	0.949911i	$-0.398826\pi$
$571$	−4.79619	−	2.19035i	−0.200714	−	0.0916631i	−0.513236	+	0.858247i	$0.671554\pi$
$572$	3.30064	−	22.9564i	0.138007	−	0.959857i
$573$	−4.92056	+	3.16225i	−0.205559	+	0.132105i
$574$	1.75167	−	13.0733i	0.0731133	−	0.545670i
$575$	−53.5420	−	12.4896i	−2.23285	−	0.520854i
$576$	2.83043			0.117935
$577$	10.4803	+	16.3077i	0.436302	+	0.678900i	0.987879	−	0.155224i	$-0.0496101\pi$
$577$	10.4803	+	16.3077i	0.436302	+	0.678900i	−0.551577	+	0.834124i	$0.685974\pi$
$578$	−0.534903	+	3.72033i	−0.0222490	+	0.154745i
$579$	−0.772461	−	0.352771i	−0.0321024	−	0.0146607i
$580$	−30.5905	+	8.98219i	−1.27020	+	0.372965i
$581$	6.12812	+	20.1524i	0.254237	+	0.836061i
$582$	2.63017	−	2.27906i	0.109024	−	0.0944700i
$583$	−1.66276	−	11.5648i	−0.0688645	−	0.478963i
$584$	−1.81458	+	6.17989i	−0.0750878	+	0.255726i
$585$	43.5397	+	37.7273i	1.80014	+	1.55983i
$586$	−5.81344	−	3.73607i	−0.240151	−	0.154336i
$587$	15.0299	−	23.3869i	0.620349	−	0.965282i	−0.378857	−	0.925455i	$-0.623683\pi$
$587$	15.0299	−	23.3869i	0.620349	−	0.965282i	0.999207	−	0.0398271i	$-0.0126807\pi$
$588$	1.60468	+	2.39452i	0.0661759	+	0.0987482i
$589$	−1.22707	+	4.17900i	−0.0505603	+	0.172193i
$590$	38.2124	−	5.49411i	1.57318	−	0.226189i
$591$	1.78638	−	1.54791i	0.0734818	−	0.0636723i
$592$	6.62222	−	3.02427i	0.272172	−	0.124297i
$593$	−6.66367	−	22.6944i	−0.273644	−	0.931946i	−0.975569	−	0.219695i	$-0.929494\pi$
$593$	−6.66367	−	22.6944i	−0.273644	−	0.931946i	0.701925	−	0.712251i	$-0.252324\pi$
$594$	4.61119	−	10.0971i	0.189199	−	0.414289i
$595$	−13.3287	+	47.0609i	−0.546424	+	1.92931i
$596$	−1.36025	−	2.11659i	−0.0557180	−	0.0866990i
$597$		−	0.363858i		−	0.0148917i
$598$	14.1272	+	19.4727i	0.577704	+	0.796297i
$599$	−13.5228			−0.552528			−0.276264	−	0.961082i	$-0.589096\pi$
$599$	−13.5228			−0.552528			−0.276264	+	0.961082i	$0.589096\pi$
$600$	−2.55219	−	3.97129i	−0.104193	−	0.162127i
$601$	6.12166	+	0.880162i	0.249708	+	0.0359026i	0.266032	−	0.963964i	$-0.414287\pi$
$601$	6.12166	+	0.880162i	0.249708	+	0.0359026i	−0.0163242	+	0.999867i	$0.505196\pi$
$602$	4.35174	+	2.73799i	0.177364	+	0.111592i
$603$	−1.41098	−	4.80536i	−0.0574596	−	0.195689i
$604$	−4.31639	−	9.45158i	−0.175631	−	0.384579i
$605$	−27.5700	−	31.8175i	−1.12088	−	1.29357i
$606$	−0.717923	−	4.99326i	−0.0291636	−	0.202837i
$607$	2.06248	−	7.02415i	0.0837133	−	0.285101i	−0.906988	−	0.421157i	$-0.861624\pi$
$607$	2.06248	−	7.02415i	0.0837133	−	0.285101i	0.990701	+	0.136055i	$0.0434425\pi$
$608$	0.822022	−	0.948663i	0.0333374	−	0.0384734i
$609$	5.54348	−	6.52308i	0.224633	−	0.264328i
$610$	7.83976	+	5.03831i	0.317423	+	0.203995i
$611$	3.73531	−	4.31078i	0.151115	−	0.174395i
$612$	−12.3735	−	3.63320i	−0.500171	−	0.146863i
$613$	−17.7926	+	2.55819i	−0.718637	+	0.103324i	−0.491925	−	0.870638i	$-0.663707\pi$
$613$	−17.7926	+	2.55819i	−0.718637	+	0.103324i	−0.226712	+	0.973962i	$0.572798\pi$
$614$	−25.2492	+	21.8785i	−1.01897	+	0.882946i
$615$	−3.46035	−	7.57710i	−0.139535	−	0.305538i
$616$	1.85706	+	12.0906i	0.0748230	+	0.487143i
$617$	−11.7373	−	5.36025i	−0.472526	−	0.215795i	0.164895	−	0.986311i	$-0.447271\pi$
$617$	−11.7373	−	5.36025i	−0.472526	−	0.215795i	−0.637421	+	0.770516i	$0.719999\pi$
$618$	2.81980	+	0.405426i	0.113429	+	0.0163086i
$619$	−21.6268	+	13.8987i	−0.869256	+	0.558637i	−0.897525	−	0.440963i	$-0.854637\pi$
$619$	−21.6268	+	13.8987i	−0.869256	+	0.558637i	0.0282690	+	0.999600i	$0.491000\pi$
$620$		−	14.0787i		−	0.565416i
$621$	3.86185	+	10.8472i	0.154971	+	0.435285i
$622$		−	13.2654i		−	0.531892i
$623$	4.13876	−	1.93836i	0.165816	−	0.0776590i
$624$	−0.293972	+	2.04462i	−0.0117683	+	0.0818502i
$625$	20.3982	−	44.6659i	0.815929	−	1.78664i
$626$	−32.1300	+	9.43421i	−1.28417	+	0.377067i
$627$	−0.992764	−	2.17385i	−0.0396472	−	0.0868152i
$628$	3.34010	+	3.85468i	0.133285	+	0.153819i
$629$	−32.8317	+	4.72049i	−1.30909	+	0.188218i
$630$	−27.7598	−	12.3566i	−1.10598	−	0.492300i
$631$	20.5017	+	17.7649i	0.816162	+	0.707208i	0.959267	−	0.282499i	$-0.0911635\pi$
$631$	20.5017	+	17.7649i	0.816162	+	0.707208i	−0.143106	+	0.989707i	$0.545709\pi$
$632$	−6.01298	+	9.35639i	−0.239184	+	0.372177i
$633$	−0.128510	+	0.199966i	−0.00510782	+	0.00794792i
$634$	20.5014	−	23.6599i	0.814214	−	0.939653i
$635$	−58.9745	−	17.3165i	−2.34033	−	0.687183i
$636$	0.148094	+	1.03002i	0.00587231	+	0.0408428i
$637$	31.6550	−	15.1979i	1.25422	−	0.602162i
$638$	33.0449	−	15.0911i	1.30826	−	0.597462i
$639$	2.37179	−	0.696419i	0.0938264	−	0.0275499i
$640$	−1.68558	+	3.69091i	−0.0666285	+	0.145896i
$641$	−13.3852	−	1.92450i	−0.528684	−	0.0760132i	−0.127196	−	0.991878i	$-0.540598\pi$
$641$	−13.3852	−	1.92450i	−0.528684	−	0.0760132i	−0.401488	+	0.915864i	$0.631507\pi$
$642$	2.54002	−	1.63237i	0.100246	−	0.0644245i
$643$	−4.08836			−0.161229			−0.0806147	−	0.996745i	$-0.525688\pi$
$643$	−4.08836			−0.161229			−0.0806147	+	0.996745i	$0.525688\pi$
$644$	−10.1168	−	7.65838i	−0.398657	−	0.301782i
$645$	3.24691			0.127847
$646$	−4.81127	+	3.09202i	−0.189297	+	0.121654i
$647$	25.8939	+	3.72299i	1.01800	+	0.146366i	0.631054	−	0.775739i	$-0.282622\pi$
$647$	25.8939	+	3.72299i	1.01800	+	0.146366i	0.386942	+	0.922104i	$0.373532\pi$
$648$	3.11672	−	6.82466i	0.122436	−	0.268098i
$649$	−42.2068	+	12.3930i	−1.65676	+	0.486469i
$650$	−52.3104	+	23.8894i	−2.05178	+	0.937018i
$651$	2.07418	+	3.16032i	0.0812934	+	0.123863i
$652$	2.64845	+	18.4204i	0.103721	+	0.721397i
$653$	13.2459	+	3.88935i	0.518352	+	0.152202i	0.530436	−	0.847725i	$-0.322028\pi$
$653$	13.2459	+	3.88935i	0.518352	+	0.152202i	−0.0120837	+	0.999927i	$0.503846\pi$
$654$	−1.15599	+	1.33409i	−0.0452029	+	0.0521669i
$655$	−16.7296	+	26.0317i	−0.653678	+	1.01714i
$656$	−2.69532	+	4.19400i	−0.105234	+	0.163748i
$657$	13.7775	+	11.9383i	0.537511	+	0.465756i
$658$	−1.22341	+	2.74844i	−0.0476933	+	0.107146i
$659$	−25.5325	+	3.67102i	−0.994606	+	0.143003i	−0.620352	−	0.784323i	$-0.713010\pi$
$659$	−25.5325	+	3.67102i	−0.994606	+	0.143003i	−0.374254	+	0.927326i	$0.622101\pi$
$660$	5.05879	+	5.83815i	0.196913	+	0.227250i
$661$	1.29942	+	2.84534i	0.0505418	+	0.110671i	0.933218	−	0.359310i	$-0.116988\pi$
$661$	1.29942	+	2.84534i	0.0505418	+	0.110671i	−0.882676	+	0.469981i	$0.844261\pi$
$662$	−7.87922	+	2.31355i	−0.306235	+	0.0899186i
$663$	3.90964	−	8.56091i	0.151838	−	0.332478i
$664$	1.13301	−	7.88023i	0.0439692	−	0.305812i
$665$	−12.2036	+	5.71548i	−0.473235	+	0.221637i
$666$		−	20.6059i		−	0.798462i
$667$	−13.6958	+	35.1056i	−0.530304	+	1.35930i
$668$		−	13.6688i		−	0.528863i
$669$	7.07650	−	4.54779i	0.273593	−	0.175828i
$670$	7.10650	+	1.02176i	0.274548	+	0.0394740i
$671$	−9.65906	−	4.41114i	−0.372884	−	0.170290i
$672$	−0.165399	−	1.07685i	−0.00638041	−	0.0415403i
$673$	−13.9005	−	30.4379i	−0.535825	−	1.17329i	−0.963093	−	0.269168i	$-0.913251\pi$
$673$	−13.9005	−	30.4379i	−0.535825	−	1.17329i	0.427268	−	0.904125i	$-0.359476\pi$
$674$	3.36273	−	2.91383i	0.129528	−	0.112236i
$675$	−27.2435	+	3.91702i	−1.04860	+	0.150766i
$676$	11.6709	+	3.42689i	0.448881	+	0.131803i
$677$	−17.4597	+	20.1496i	−0.671032	+	0.774413i	−0.984537	−	0.175174i	$-0.943951\pi$
$677$	−17.4597	+	20.1496i	−0.671032	+	0.774413i	0.313505	+	0.949586i	$0.398497\pi$
$678$	6.38435	+	4.10298i	0.245190	+	0.157574i
$679$	17.0390	+	14.4802i	0.653897	+	0.555699i
$680$	12.1064	−	13.9715i	0.464260	−	0.535784i
$681$	0.130400	−	0.444101i	0.00499693	−	0.0170180i
$682$	2.28301	+	15.8787i	0.0874209	+	0.608026i
$683$	6.49319	+	7.49354i	0.248455	+	0.286732i	0.866254	−	0.499604i	$-0.166521\pi$
$683$	6.49319	+	7.49354i	0.248455	+	0.286732i	−0.617799	+	0.786336i	$0.711976\pi$
$684$	−1.47594	−	3.23186i	−0.0564341	−	0.123573i
$685$	−12.7816	−	43.5300i	−0.488358	−	1.66319i
$686$	−13.6414	+	12.5264i	−0.520833	+	0.478261i
$687$	−3.64912	−	0.524665i	−0.139223	−	0.0200172i
$688$	−1.05061	−	1.63479i	−0.0400543	−	0.0623256i
$689$	12.6767			0.482943
$690$	−7.98322	−	0.691235i	−0.303916	−	0.0263149i
$691$			5.74234i			0.218449i	0.994017	+	0.109225i	$0.0348367\pi$
$691$			5.74234i			0.218449i	−0.994017	+	0.109225i	$0.965163\pi$
$692$	−13.3101	−	20.7110i	−0.505975	−	0.787312i
$693$	33.3126	+	9.43486i	1.26544	+	0.358401i
$694$	−13.5301	+	29.6268i	−0.513596	+	1.12462i
$695$	19.9480	+	67.9365i	0.756669	+	2.57698i
$696$	−2.94315	+	1.34409i	−0.111560	+	0.0509476i
$697$	17.1663	−	14.8747i	0.650222	−	0.563420i
$698$	8.19167	−	1.17778i	0.310059	−	0.0445798i
$699$	2.02534	−	6.89767i	0.0766054	−	0.260894i
$700$	22.7307	−	20.0818i	0.859140	−	0.759019i
$701$	−15.9847	+	24.8727i	−0.603733	+	0.939427i	0.396042	+	0.918232i	$0.370383\pi$
$701$	−15.9847	+	24.8727i	−0.603733	+	0.939427i	−0.999775	+	0.0211948i	$0.993253\pi$
$702$	10.1317	+	6.51126i	0.382397	+	0.245752i
$703$	−6.90638	−	5.98441i	−0.260479	−	0.225706i
$704$	1.30256	−	4.43611i	0.0490921	−	0.167192i
$705$	0.270382	+	1.88055i	0.0101832	+	0.0708255i
$706$	17.4107	−	15.0864i	0.655259	−	0.567785i
$707$	31.0101	−	9.42984i	1.16625	−	0.354646i
$708$	3.75915	−	1.10379i	0.141278	−	0.0414829i
$709$	−13.3130	−	6.07984i	−0.499980	−	0.228333i	0.149429	−	0.988772i	$-0.452256\pi$
$709$	−13.3130	−	6.07984i	−0.499980	−	0.228333i	−0.649409	+	0.760439i	$0.724984\pi$
$710$	−0.504311	+	3.50756i	−0.0189265	+	0.131636i
$711$	17.0194	+	26.4826i	0.638276	+	0.993177i
$712$	−1.72737			−0.0647358
$713$	−13.1704	−	10.1704i	−0.493237	−	0.380886i
$714$	−0.659202	+	4.91986i	−0.0246700	+	0.184121i
$715$	79.1666	−	50.8773i	2.96066	−	1.90270i
$716$	2.51353	−	17.4820i	0.0939349	−	0.653331i
$717$	2.17946	+	0.995325i	0.0813934	+	0.0371711i
$718$	0.992466	+	3.38003i	0.0370385	+	0.126142i
$719$	−44.8399	+	20.4777i	−1.67224	+	0.763688i	−0.672523	+	0.740076i	$0.734789\pi$
$719$	−44.8399	+	20.4777i	−1.67224	+	0.763688i	−0.999721	+	0.0236123i	$0.992483\pi$
$720$	7.52090	+	8.67958i	0.280287	+	0.323469i
$721$	0.175805	+	18.3030i	0.00654733	+	0.681638i
$722$	16.7185	+	4.90900i	0.622199	+	0.182694i
$723$	4.82843	+	4.18386i	0.179571	+	0.155599i
$724$	10.3237	+	6.63462i	0.383676	+	0.246574i
$725$	−75.7775	−	48.6992i	−2.81431	−	1.80864i
$726$	−3.22900	−	2.79794i	−0.119839	−	0.103841i
$727$	15.6885	+	4.60657i	0.581855	+	0.170848i	0.559397	−	0.828900i	$-0.311033\pi$
$727$	15.6885	+	4.60657i	0.581855	+	0.170848i	0.0224581	+	0.999748i	$0.492851\pi$
$728$	−13.2714	+	0.127475i	−0.491869	+	0.00472454i
$729$	−11.9642	−	13.8075i	−0.443119	−	0.511387i
$730$	−23.7723	+	10.8565i	−0.879854	+	0.401816i
$731$	2.49442	+	8.49522i	0.0922595	+	0.314207i
$732$	0.860285	+	0.392879i	0.0317971	+	0.0145212i
$733$	−5.59333	+	38.9025i	−0.206594	+	1.43690i	0.577569	+	0.816342i	$0.304001\pi$
$733$	−5.59333	+	38.9025i	−0.206594	+	1.43690i	−0.784164	+	0.620554i	$0.786908\pi$
$734$	−14.2965	+	9.18779i	−0.527692	+	0.339127i
$735$	−3.07895	+	11.2834i	−0.113569	+	0.416194i
$736$	2.23513	+	4.24314i	0.0823879	+	0.156404i
$737$	−8.18073			−0.301341
$738$	7.62892	+	11.8708i	0.280824	+	0.436971i
$739$	−5.49717	+	38.2337i	−0.202217	+	1.40645i	0.595471	+	0.803377i	$0.296966\pi$
$739$	−5.49717	+	38.2337i	−0.202217	+	1.40645i	−0.797688	+	0.603071i	$0.793944\pi$
$740$	26.8702	+	12.2712i	0.987769	+	0.451099i
$741$	2.48789	−	0.730510i	0.0913949	−	0.0268360i
$742$	−6.39680	+	1.94520i	−0.234834	+	0.0714105i
$743$	21.0383	−	18.2298i	0.771819	−	0.668785i	−0.177140	−	0.984186i	$-0.556684\pi$
$743$	21.0383	−	18.2298i	0.771819	−	0.668785i	0.948958	+	0.315401i	$0.102139\pi$
$744$	−0.203336	−	1.41424i	−0.00745468	−	0.0518484i
$745$	2.87617	−	9.79534i	0.105375	−	0.358874i
$746$	−6.10366	−	5.28885i	−0.223471	−	0.193639i
$747$	−18.9567	−	12.1827i	−0.693588	−	0.445742i
$748$	−11.3886	+	17.7209i	−0.416407	+	0.647942i
$749$	12.8442	+	14.5384i	0.469316	+	0.531223i
$750$	3.04281	−	10.3629i	0.111108	−	0.378398i
$751$	7.57870	−	1.08965i	0.276551	−	0.0397620i	−0.00264399	−	0.999997i	$-0.500842\pi$
$751$	7.57870	−	1.08965i	0.276551	−	0.0397620i	0.279195	+	0.960235i	$0.409933\pi$
$752$	0.859348	−	0.744630i	0.0313372	−	0.0271538i
$753$	−10.1866	+	4.65206i	−0.371220	+	0.169530i
$754$	11.1045	+	37.8186i	0.404404	+	1.37727i
$755$	17.5141	−	38.3506i	0.637404	−	1.39572i
$756$	−6.11172	−	1.73098i	−0.222281	−	0.0629550i
$757$	9.81458	+	15.2718i	0.356717	+	0.555063i	0.972515	−	0.232842i	$-0.0748024\pi$
$757$	9.81458	+	15.2718i	0.356717	+	0.555063i	−0.615798	+	0.787904i	$0.711166\pi$
$758$			15.5725i			0.565618i
$759$	9.11595	−	0.514951i	0.330888	−	0.0186915i
$760$	5.09333			0.184755
$761$	−18.6752	−	29.0591i	−0.676974	−	1.05339i	−0.994459	−	0.105129i	$-0.966474\pi$
$761$	−18.6752	−	29.0591i	−0.676974	−	1.05339i	0.317484	−	0.948264i	$-0.397162\pi$
$762$	−6.17419	−	0.887715i	−0.223667	−	0.0321585i
$763$	−9.59989	−	6.03998i	−0.347539	−	0.218662i
$764$	4.00181	+	13.6289i	0.144780	+	0.493077i
$765$	−21.7371	−	47.5976i	−0.785907	−	1.72090i
$766$	−5.60584	−	6.46949i	−0.202547	−	0.233752i
$767$	−6.79229	−	47.2414i	−0.245255	−	1.70579i
$768$	−0.116013	+	0.395103i	−0.00418625	+	0.0142571i
$769$	−8.07912	+	9.32380i	−0.291340	+	0.336225i	−0.882485	−	0.470341i	$-0.844131\pi$
$769$	−8.07912	+	9.32380i	−0.291340	+	0.336225i	0.591144	+	0.806566i	$0.298676\pi$
$770$	−32.1415	+	37.8212i	−1.15830	+	1.36298i
$771$	−3.40342	−	2.18725i	−0.122571	−	0.0787718i
$772$	−1.35049	+	1.55855i	−0.0486052	+	0.0560934i
$773$	26.5959	+	7.80927i	0.956589	+	0.280880i	0.722528	−	0.691342i	$-0.242980\pi$
$773$	26.5959	+	7.80927i	0.956589	+	0.280880i	0.234061	+	0.972222i	$0.424798\pi$
$774$	−5.44432	+	0.782776i	−0.195692	+	0.0281363i
$775$	30.0615	−	26.0484i	1.07984	−	0.935687i
$776$	−3.51091	−	7.68782i	−0.126034	−	0.275977i
$777$	−7.83957	+	1.20412i	−0.281243	+	0.0431977i
$778$	−8.76259	−	4.00174i	−0.314154	−	0.143469i
$779$	6.19430	+	0.890606i	0.221934	+	0.0319093i
$780$	−7.05098	+	4.53139i	−0.252466	+	0.162250i
$781$		−	4.03777i		−	0.144483i
$782$	−4.32452	−	21.4184i	−0.154645	−	0.765919i
$783$			18.8646i			0.674165i
$784$	6.67733	−	2.10078i	0.238476	−	0.0750278i
$785$	−2.94529	+	20.4850i	−0.105122	+	0.731140i
$786$	−1.30454	+	2.85655i	−0.0465316	+	0.101890i
$787$	20.8433	−	6.12016i	0.742985	−	0.218160i	0.111733	−	0.993738i	$-0.464360\pi$
$787$	20.8433	−	6.12016i	0.742985	−	0.218160i	0.631251	+	0.775578i	$0.282542\pi$
$788$	−2.38456	−	5.22147i	−0.0849466	−	0.186007i
$789$	−7.43956	−	8.58571i	−0.264855	−	0.305659i
$790$	−44.6689	+	6.42243i	−1.58925	+	0.228500i
$791$	−19.8290	+	44.5469i	−0.705038	+	1.58390i
$792$	−9.88990	−	8.56965i	−0.351422	−	0.304509i
$793$	6.22879	−	9.69218i	0.221191	−	0.344179i
$794$	18.3146	−	28.4980i	0.649960	−	1.01136i
$795$	−2.76506	+	3.19105i	−0.0980664	+	0.113175i
$796$	−0.847823	−	0.248943i	−0.0300503	−	0.00882356i
$797$	1.13101	+	7.86638i	0.0400626	+	0.278641i	0.999999	−	0.00157733i	$-0.000502081\pi$
$797$	1.13101	+	7.86638i	0.0400626	+	0.278641i	−0.959936	+	0.280219i	$0.909593\pi$
$798$	−1.14332	+	0.750384i	−0.0404733	+	0.0265633i
$799$	−4.71255	+	2.15215i	−0.166718	+	0.0761376i
$800$	−10.9996	+	3.22978i	−0.388895	+	0.114190i
$801$	−2.03105	+	4.44737i	−0.0717635	+	0.157140i
$802$	12.0676	+	1.73507i	0.426123	+	0.0612673i
$803$	25.0511	−	16.0994i	0.884034	−	0.568134i
$804$	0.728618			0.0256964
$805$	−3.39729	−	51.3728i	−0.119739	−	1.81065i
$806$	−17.4054			−0.613077
$807$	−0.537367	+	0.345345i	−0.0189162	+	0.0121567i
$808$	−12.1259	−	1.74345i	−0.426589	−	0.0613343i
$809$	4.17753	−	9.14752i	0.146874	−	0.321610i	−0.821869	−	0.569677i	$-0.807068\pi$
$809$	4.17753	−	9.14752i	0.146874	−	0.321610i	0.968743	+	0.248068i	$0.0797955\pi$
$810$	29.2096	−	8.57670i	1.02632	−	0.301354i
$811$	3.62131	−	1.65380i	0.127161	−	0.0580726i	−0.350818	−	0.936444i	$-0.614097\pi$
$811$	3.62131	−	1.65380i	0.127161	−	0.0580726i	0.477980	+	0.878371i	$0.341369\pi$
$812$	−11.4067	−	17.3798i	−0.400295	−	0.609910i
$813$	0.693417	+	4.82282i	0.0243192	+	0.169144i
$814$	−32.2954	−	9.48279i	−1.13195	−	0.332372i
$815$	−49.4491	+	57.0673i	−1.73212	+	1.99898i
$816$	1.01432	−	1.57832i	0.0355084	−	0.0552522i
$817$	−1.31879	+	2.05208i	−0.0461388	+	0.0717933i
$818$	16.6951	+	14.4664i	0.583731	+	0.505805i
$819$	−15.2763	+	34.3190i	−0.533798	+	1.19920i
$820$	−20.0228	+	2.87885i	−0.699228	+	0.100534i
$821$	15.3509	+	17.7159i	0.535752	+	0.618290i	0.957504	−	0.288421i	$-0.0931302\pi$
$821$	15.3509	+	17.7159i	0.535752	+	0.618290i	−0.421752	+	0.906711i	$0.638585\pi$
$822$	−1.91262	−	4.18806i	−0.0667105	−	0.146076i
$823$	−43.2890	+	12.7108i	−1.50896	+	0.443070i	−0.928535	−	0.371244i	$-0.878931\pi$
$823$	−43.2890	+	12.7108i	−1.50896	+	0.443070i	−0.580424	+	0.814314i	$0.697113\pi$
$824$	2.87392	−	6.29301i	0.100118	−	0.219227i
$825$	−3.10610	+	21.6034i	−0.108141	+	0.752135i
$826$	10.6765	+	22.7963i	0.371484	+	0.793186i
$827$			34.9822i			1.21645i	0.793764	+	0.608225i	$0.208118\pi$
$827$			34.9822i			1.21645i	−0.793764	+	0.608225i	$0.791882\pi$
$828$	13.5527	−	0.765578i	0.470988	−	0.0266057i
$829$		−	8.52331i		−	0.296027i	−0.988985	−	0.148013i	$-0.952712\pi$
$829$		−	8.52331i		−	0.296027i	0.988985	−	0.148013i	$-0.0472879\pi$
$830$	27.1754	−	17.4646i	0.943273	−	0.606205i
$831$	−4.36663	−	0.627827i	−0.151477	−	0.0217791i
$832$	4.56302	+	2.08386i	0.158194	+	0.0722449i
$833$	−31.8872	+	0.612628i	−1.10483	+	0.0212263i
$834$	2.98500	+	6.53624i	0.103362	+	0.226331i
$835$	41.9157	−	36.3202i	1.45055	−	1.25691i
$836$	−5.74450	+	0.825934i	−0.198678	+	0.0285655i
$837$	−7.99296	−	2.34695i	−0.276277	−	0.0811223i
$838$	15.4482	−	17.8281i	0.533648	−	0.615863i
$839$	3.47833	+	2.23539i	0.120085	+	0.0771742i	0.599305	−	0.800521i	$-0.295444\pi$
$839$	3.47833	+	2.23539i	0.120085	+	0.0771742i	−0.479219	+	0.877695i	$0.659080\pi$
$840$	2.86268	−	3.36855i	0.0987719	−	0.116226i
$841$	−21.4390	+	24.7420i	−0.739277	+	0.853171i
$842$	−11.1569	+	37.9968i	−0.384491	+	1.30946i
$843$	−1.32668	−	9.22724i	−0.0456932	−	0.317803i
$844$	0.378015	+	0.436252i	0.0130118	+	0.0150164i
$845$	20.5028	+	44.8948i	0.705317	+	1.54443i
$846$	−0.906737	−	3.08806i	−0.0311743	−	0.106170i
$847$	14.6190	−	23.2354i	0.502316	−	0.798376i
$848$	2.50136	+	0.359641i	0.0858969	+	0.0123501i
$849$	0.138601	+	0.215668i	0.00475678	+	0.00740169i
$850$	52.2318			1.79154
$851$	30.8905	−	16.2720i	1.05891	−	0.557796i
$852$			0.359624i			0.0123205i
$853$	5.37766	+	8.36780i	0.184127	+	0.286508i	0.921030	−	0.389491i	$-0.127349\pi$
$853$	5.37766	+	8.36780i	0.184127	+	0.286508i	−0.736903	+	0.675999i	$0.763713\pi$
$854$	−1.65588	+	5.84658i	−0.0566632	+	0.200066i
$855$	5.98876	−	13.1136i	0.204811	−	0.448474i
$856$	−2.06575	−	7.03530i	−0.0706059	−	0.240462i
$857$	42.6675	−	19.4856i	1.45749	−	0.665615i	0.480134	−	0.877195i	$-0.340588\pi$
$857$	42.6675	−	19.4856i	1.45749	−	0.665615i	0.977361	+	0.211580i	$0.0678609\pi$
$858$	7.21762	−	6.25410i	0.246406	−	0.213512i
$859$	45.9228	−	6.60270i	1.56687	−	0.225281i	0.696452	−	0.717603i	$-0.254761\pi$
$859$	45.9228	−	6.60270i	1.56687	−	0.225281i	0.870413	+	0.492322i	$0.163852\pi$
$860$	2.22146	−	7.56560i	0.0757512	−	0.257985i
$861$	4.07049	−	3.59613i	0.138722	−	0.122556i
$862$	9.55145	−	14.8623i	0.325324	−	0.506214i
$863$	−10.5435	−	6.77589i	−0.358904	−	0.230654i	0.348745	−	0.937218i	$-0.386608\pi$
$863$	−10.5435	−	6.77589i	−0.358904	−	0.230654i	−0.707649	+	0.706564i	$0.750244\pi$
$864$	1.81446	+	1.57224i	0.0617292	+	0.0534887i
$865$	28.1435	−	95.8479i	0.956907	−	3.25893i
$866$	−2.78374	−	19.3613i	−0.0945952	−	0.657924i
$867$	−1.16969	+	1.01354i	−0.0397248	+	0.0344217i
$868$	8.78295	−	2.67080i	0.298113	−	0.0906530i
$869$	49.3383	−	14.4870i	1.67369	−	0.491439i
$870$	−11.9421	−	5.45376i	−0.404874	−	0.184900i
$871$	1.26319	−	8.78566i	0.0428015	−	0.297691i
$872$	2.31764	+	3.60632i	0.0784853	+	0.122125i
$873$	−23.9216			−0.809625
$874$	3.67941	−	4.76473i	0.124458	−	0.161169i
$875$	68.7787	+	9.21552i	2.32514	+	0.311541i
$876$	−2.23118	+	1.43389i	−0.0753845	+	0.0484467i
$877$	1.48038	−	10.2963i	0.0499890	−	0.347681i	−0.949442	−	0.313943i	$-0.898350\pi$
$877$	1.48038	−	10.2963i	0.0499890	−	0.347681i	0.999431	−	0.0337376i	$-0.0107411\pi$
$878$	32.8702	+	15.0113i	1.10932	+	0.506607i
$879$	−0.801701	−	2.73034i	−0.0270407	−	0.0920921i
$880$	17.0645	−	7.79311i	0.575245	−	0.262706i
$881$	37.2824	+	43.0262i	1.25608	+	1.44959i	0.842119	+	0.539292i	$0.181308\pi$
$881$	37.2824	+	43.0262i	1.25608	+	1.44959i	0.413956	+	0.910297i	$0.364147\pi$
$882$	2.44246	−	19.6619i	0.0822419	−	0.662051i
$883$	14.0886	+	4.13680i	0.474121	+	0.139214i	0.510059	−	0.860140i	$-0.329624\pi$
$883$	14.0886	+	4.13680i	0.474121	+	0.139214i	−0.0359380	+	0.999354i	$0.511442\pi$
$884$	−17.2728	−	14.9670i	−0.580948	−	0.503394i
$885$	13.3734	+	8.59458i	0.449543	+	0.288904i
$886$	22.7797	+	14.6396i	0.765299	+	0.491828i
$887$	−15.0069	−	13.0036i	−0.503884	−	0.436618i	0.365459	−	0.930827i	$-0.380912\pi$
$887$	−15.0069	−	13.0036i	−0.503884	−	0.436618i	−0.869343	+	0.494210i	$0.835457\pi$
$888$	2.87640	+	0.844586i	0.0965255	+	0.0283424i
$889$	−0.384941	−	40.0759i	−0.0129105	−	1.34410i
$890$	−4.58988	−	5.29700i	−0.153853	−	0.177556i
$891$	−31.5531	+	14.4098i	−1.05707	+	0.482747i
$892$	−5.75519	−	19.6004i	−0.192698	−	0.656270i
$893$	−1.29835	−	0.592936i	−0.0434476	−	0.0198418i
$894$	0.147445	−	1.02550i	0.00493129	−	0.0342979i
$895$	60.2876	−	38.7445i	2.01519	−	1.29508i
$896$	−2.62232	−	0.351359i	−0.0876055	−	0.0117381i
$897$	−0.854564	+	9.86955i	−0.0285331	+	0.329535i
$898$	28.5923			0.954138
$899$	−14.7395	−	22.9351i	−0.491590	−	0.764928i
$900$	−4.61785	+	32.1178i	−0.153928	+	1.07059i
$901$	−10.4733	−	4.78299i	−0.348916	−	0.159345i
$902$	22.1159	−	6.49380i	0.736378	−	0.216220i
$903$	0.615954	+	2.02557i	0.0204977	+	0.0674067i
$904$	13.9283	−	12.0690i	0.463250	−	0.401408i
$905$	7.08639	+	49.2869i	0.235560	+	1.63835i
$906$	1.20544	−	4.10534i	0.0400479	−	0.136391i
$907$	−1.38926	−	1.20380i	−0.0461296	−	0.0399716i	0.631491	−	0.775383i	$-0.282443\pi$
$907$	−1.38926	−	1.20380i	−0.0461296	−	0.0399716i	−0.677621	+	0.735412i	$0.736989\pi$
$908$	−0.945580	−	0.607687i	−0.0313802	−	0.0201668i
$909$	−18.7465	+	29.1702i	−0.621783	+	0.967513i
$910$	−35.6549	−	40.3582i	−1.18195	−	1.33786i
$911$	−1.10293	+	3.75623i	−0.0365416	+	0.124449i	−0.975744	−	0.218915i	$-0.929748\pi$
$911$	−1.10293	+	3.75623i	−0.0365416	+	0.124449i	0.939202	+	0.343364i	$0.111567\pi$
$912$	0.511634	−	0.0735619i	0.0169419	−	0.00243588i
$913$	−27.8177	+	24.1042i	−0.920631	+	0.797731i
$914$	24.9148	−	11.3782i	0.824109	−	0.376358i
$915$	1.08114	+	3.68202i	0.0357413	+	0.121724i
$916$	−3.71916	+	8.14383i	−0.122885	+	0.269080i
$917$	−19.4134	−	5.49831i	−0.641087	−	0.181570i
$918$	−5.91395	−	9.20228i	−0.195189	−	0.303720i
$919$			5.08901i			0.167871i	0.996471	+	0.0839355i	$0.0267490\pi$
$919$			5.08901i			0.167871i	−0.996471	+	0.0839355i	$0.973251\pi$
$920$	−7.07258	+	18.1287i	−0.233176	+	0.597686i
$921$	−13.7575			−0.453323
$922$	9.57156	+	14.8936i	0.315223	+	0.490496i
$923$	4.33635	+	0.623472i	0.142733	+	0.0205218i
$924$	−2.68242	+	4.26342i	−0.0882453	+	0.140256i
$925$	23.5132	+	80.0785i	0.773108	+	2.63296i
$926$	−3.03718	−	6.65049i	−0.0998078	−	0.218549i
$927$	−12.8231	−	14.7987i	−0.421167	−	0.486053i
$928$	1.11822	+	7.77740i	0.0367074	+	0.255306i
$929$	5.29430	−	18.0307i	0.173700	−	0.591569i	−0.825914	−	0.563796i	$-0.809340\pi$
$929$	5.29430	−	18.0307i	0.173700	−	0.591569i	0.999614	−	0.0277730i	$-0.00884157\pi$
$930$	3.79648	−	4.38138i	0.124492	−	0.143671i
$931$	−5.88065	−	6.52889i	−0.192730	−	0.213976i
$932$	−14.6865	−	9.43846i	−0.481073	−	0.309167i
$933$	3.57715	−	4.12825i	0.117111	−	0.135153i
$934$	−25.9514	−	7.62003i	−0.849157	−	0.249335i
$935$	−84.6027	+	12.1640i	−2.76681	+	0.397807i
$936$	10.7304	−	9.29798i	0.350735	−	0.303914i
$937$	12.2707	+	26.8690i	0.400865	+	0.877772i	0.997182	+	0.0750229i	$0.0239030\pi$
$937$	12.2707	+	26.8690i	0.400865	+	0.877772i	−0.596317	+	0.802749i	$0.703370\pi$
$938$	0.710716	+	4.62718i	0.0232057	+	0.151083i
$939$	−12.5430	−	5.72822i	−0.409327	−	0.186933i
$940$	4.56684	+	0.656612i	0.148954	+	0.0214163i
$941$	−8.06672	+	5.18417i	−0.262968	+	0.168999i	−0.665480	−	0.746415i	$-0.731773\pi$
$941$	−8.06672	+	5.18417i	−0.262968	+	0.168999i	0.402513	+	0.915414i	$0.368137\pi$
$942$			2.10029i			0.0684312i
$943$	−11.7713	+	20.8107i	−0.383327	+	0.677690i
$944$		−	9.51436i		−	0.309666i
$945$	−10.9317	−	23.3412i	−0.355609	−	0.759288i
$946$	−1.27863	+	8.89307i	−0.0415719	+	0.289139i
$947$	−0.884833	+	1.93751i	−0.0287532	+	0.0629607i	−0.923464	−	0.383686i	$-0.874655\pi$
$947$	−0.884833	+	1.93751i	−0.0287532	+	0.0629607i	0.894710	+	0.446647i	$0.147382\pi$
$948$	−4.39432	+	1.29029i	−0.142721	+	0.0419066i
$949$	13.4217	+	29.3894i	0.435687	+	0.954021i
$950$	9.42365	+	10.8755i	0.305744	+	0.352847i
$951$	12.7603	−	1.83465i	0.413780	−	0.0594926i
$952$	11.0127	+	4.90206i	0.356924	+	0.158877i
$953$	−10.3164	−	8.93923i	−0.334182	−	0.289570i	0.471564	−	0.881832i	$-0.343690\pi$
$953$	−10.3164	−	8.93923i	−0.334182	−	0.289570i	−0.805746	+	0.592262i	$0.798235\pi$
$954$	3.86706	−	6.01726i	0.125201	−	0.194816i
$955$	−31.1599	+	48.4857i	−1.00831	+	1.56896i
$956$	3.81033	−	4.39736i	0.123235	−	0.142221i
$957$	14.3532	+	4.21448i	0.463973	+	0.136235i
$958$	1.35478	+	9.42269i	0.0437709	+	0.304433i
$959$	24.7312	−	16.2315i	0.798613	−	0.524144i
$960$	−1.51985	+	0.694094i	−0.0490531	+	0.0224018i
$961$	−18.1929	+	5.34191i	−0.586867	+	0.172320i
$962$	15.1707	−	33.2193i	0.489124	−	1.07103i
$963$	−20.5424	−	2.95355i	−0.661969	−	0.0951768i
$964$	13.0523	−	8.38819i	0.420385	−	0.270165i
$965$	−8.36778			−0.269368
$966$	−1.08323	−	5.11142i	−0.0348524	−	0.164457i
$967$	5.83837			0.187749			0.0938747	−	0.995584i	$-0.470075\pi$
$967$	5.83837			0.187749			0.0938747	+	0.995584i	$0.470075\pi$
$968$	−8.72866	+	5.60957i	−0.280550	+	0.180298i
$969$	−2.33109	−	0.335160i	−0.0748853	−	0.0107669i
$970$	14.2458	−	31.1940i	0.457406	−	1.00158i
$971$	−37.0152	+	10.8686i	−1.18787	+	0.348791i	−0.815204	−	0.579173i	$-0.803375\pi$
$971$	−37.0152	+	10.8686i	−1.18787	+	0.348791i	−0.372669	+	0.927964i	$0.621557\pi$
$972$	9.36202	−	4.27549i	0.300287	−	0.137136i
$973$	−38.5976	+	25.3323i	−1.23738	+	0.812116i
$974$	0.869301	+	6.04612i	0.0278542	+	0.193730i
$975$	−22.7213	−	6.67157i	−0.727664	−	0.213661i
$976$	1.50403	−	1.73575i	0.0481429	−	0.0555599i
$977$	2.06071	−	3.20653i	0.0659280	−	0.102586i	−0.806724	−	0.590928i	$-0.798762\pi$
$977$	2.06071	−	3.20653i	0.0659280	−	0.102586i	0.872652	+	0.488342i	$0.162398\pi$
$978$	−4.14304	+	6.44669i	−0.132480	+	0.206143i
$979$	6.03564	+	5.22992i	0.192900	+	0.167149i
$980$	24.1848	+	14.8941i	0.772554	+	0.475773i
$981$	12.0101	−	1.72680i	0.383454	−	0.0551323i
$982$	−26.6354	−	30.7388i	−0.849968	−	0.980916i
$983$	−15.0630	−	32.9835i	−0.480436	−	1.05201i	−0.982343	−	0.187087i	$-0.940095\pi$
$983$	−15.0630	−	32.9835i	−0.480436	−	1.05201i	0.501907	−	0.864922i	$-0.332632\pi$
$984$	−1.96975	+	0.578371i	−0.0627934	+	0.0184378i
$985$	9.67557	−	21.1865i	0.308289	−	0.675060i
$986$	5.09479	−	35.4351i	0.162251	−	1.12848i
$987$	−1.12188	+	0.525425i	−0.0357098	+	0.0167245i
$988$		−	6.29681i		−	0.200328i
$989$	−5.47272	−	7.54351i	−0.174022	−	0.239870i
$990$		−	53.0984i		−	1.68758i
$991$	−28.5591	+	18.3538i	−0.907210	+	0.583028i	−0.908920	−	0.416970i	$-0.863092\pi$
$991$	−28.5591	+	18.3538i	−0.907210	+	0.583028i	0.00171046	+	0.999999i	$0.499456\pi$
$992$	−3.43442	−	0.493795i	−0.109043	−	0.0156780i
$993$	−3.07593	−	1.40473i	−0.0976116	−	0.0445777i
$994$	−2.28384	+	0.350788i	−0.0724391	+	0.0111263i
$995$	−1.48941	−	3.26135i	−0.0472174	−	0.103392i
$996$	2.47759	−	2.14684i	0.0785053	−	0.0680252i
$997$	−1.97453	+	0.283894i	−0.0625339	+	0.00899101i	−0.173511	−	0.984832i	$-0.555511\pi$
$997$	−1.97453	+	0.283894i	−0.0625339	+	0.00899101i	0.110977	+	0.993823i	$0.464602\pi$
$998$	−18.7153	−	5.49531i	−0.592423	−	0.173951i
$999$	11.4461	−	13.2095i	0.362138	−	0.417929i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	322.2.k.a.195.5	yes	80
7.6	odd	2	inner	322.2.k.a.195.4	✓	80
23.21	odd	22	inner	322.2.k.a.251.4	yes	80
161.90	even	22	inner	322.2.k.a.251.5	yes	80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
322.2.k.a.195.4	✓	80	7.6	odd	2	inner
322.2.k.a.195.5	yes	80	1.1	even	1	trivial
322.2.k.a.251.4	yes	80	23.21	odd	22	inner
322.2.k.a.251.5	yes	80	161.90	even	22	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:	\( N \)	\(=\)	\( 322 = 2 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	322.k (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.841254 - 0.540641i) q^{2} +(0.407592 + 0.0586029i) q^{3} +(0.415415 - 0.909632i) q^{4} +(3.89322 - 1.14315i) q^{5} +(0.374571 - 0.171061i) q^{6} +(1.45171 + 2.21191i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(-2.71578 - 0.797426i) q^{9} +O(q^{10})\)	\(q+(0.841254 - 0.540641i) q^{2} +(0.407592 + 0.0586029i) q^{3} +(0.415415 - 0.909632i) q^{4} +(3.89322 - 1.14315i) q^{5} +(0.374571 - 0.171061i) q^{6} +(1.45171 + 2.21191i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(-2.71578 - 0.797426i) q^{9} +(2.65715 - 3.06652i) q^{10} +(-2.49960 + 3.88945i) q^{11} +(0.222627 - 0.346414i) q^{12} +(-3.79109 - 3.28500i) q^{13} +(2.41711 + 1.07592i) q^{14} +(1.65384 - 0.237786i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(1.89270 + 4.14443i) q^{17} +(-2.71578 + 0.797426i) q^{18} +(-0.521454 + 1.14183i) q^{19} +(0.577455 - 4.01628i) q^{20} +(0.462082 + 0.986630i) q^{21} +4.62339i q^{22} +(-3.34002 - 3.44155i) q^{23} -0.411783i q^{24} +(9.64413 - 6.19790i) q^{25} +(-4.96528 - 0.713899i) q^{26} +(-2.18391 - 0.997360i) q^{27} +(2.61508 - 0.401666i) q^{28} +(-3.26407 - 7.14732i) q^{29} +(1.26274 - 1.09417i) q^{30} +(3.43442 - 0.493795i) q^{31} +(-0.959493 - 0.281733i) q^{32} +(-1.24675 + 1.43882i) q^{33} +(3.83288 + 2.46325i) q^{34} +(8.18039 + 6.95192i) q^{35} +(-1.85354 + 2.13910i) q^{36} +(-2.05104 + 6.98522i) q^{37} +(0.178642 + 1.24248i) q^{38} +(-1.35271 - 1.56111i) q^{39} +(-1.68558 - 3.69091i) q^{40} +(-1.40455 - 4.78347i) q^{41} +(0.922141 + 0.580185i) q^{42} +(1.92349 + 0.276557i) q^{43} +(2.49960 + 3.88945i) q^{44} -11.4847 q^{45} +(-4.67045 - 1.08947i) q^{46} +1.13708i q^{47} +(-0.222627 - 0.346414i) q^{48} +(-2.78506 + 6.42211i) q^{49} +(4.76232 - 10.4280i) q^{50} +(0.528573 + 1.80015i) q^{51} +(-4.56302 + 2.08386i) q^{52} +(-1.90984 + 1.65488i) q^{53} +(-2.37644 + 0.341680i) q^{54} +(-5.28525 + 17.9999i) q^{55} +(1.98279 - 1.75172i) q^{56} +(-0.279455 + 0.434840i) q^{57} +(-6.61004 - 4.24802i) q^{58} +(7.19047 + 6.23058i) q^{59} +(0.470732 - 1.60316i) q^{60} +(0.326857 + 2.27334i) q^{61} +(2.62225 - 2.27219i) q^{62} +(-2.17871 - 7.16469i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(-18.5148 - 8.45544i) q^{65} +(-0.270944 + 1.88446i) q^{66} +(0.956621 + 1.48853i) q^{67} +4.55616 q^{68} +(-1.15968 - 1.59848i) q^{69} +(10.6403 + 1.42567i) q^{70} +(-0.734696 + 0.472160i) q^{71} +(-0.402813 + 2.80162i) q^{72} +(-5.85874 - 2.67560i) q^{73} +(2.05104 + 6.98522i) q^{74} +(4.29408 - 1.96104i) q^{75} +(0.822022 + 0.948663i) q^{76} +(-12.2318 + 0.117490i) q^{77} +(-1.98197 - 0.581959i) q^{78} +(-8.40541 - 7.28333i) q^{79} +(-3.41346 - 2.19370i) q^{80} +(6.31164 + 4.05625i) q^{81} +(-3.76772 - 3.26475i) q^{82} +(7.63878 + 2.24295i) q^{83} +(1.08943 - 0.0104642i) q^{84} +(12.1064 + 13.9715i) q^{85} +(1.76766 - 0.807265i) q^{86} +(-0.911555 - 3.10447i) q^{87} +(4.20559 + 1.92063i) q^{88} +(0.245830 - 1.70979i) q^{89} +(-9.66157 + 6.20911i) q^{90} +(1.76253 - 13.1544i) q^{91} +(-4.51804 + 1.60852i) q^{92} +1.42878 q^{93} +(0.614752 + 0.956573i) q^{94} +(-0.724857 + 5.04149i) q^{95} +(-0.374571 - 0.171061i) q^{96} +(8.10923 - 2.38108i) q^{97} +(1.12911 + 6.90834i) q^{98} +(9.88990 - 8.56965i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9}+O(q^{10}) \) 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9	\( 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9} + 11 q^{14} - 8 q^{16} - 6 q^{18} - 33 q^{21} + 18 q^{23} - 58 q^{25} - 11 q^{28} + 16 q^{29} + 22 q^{30} - 8 q^{32} + 47 q^{35} + 16 q^{36} - 22 q^{37} - 30 q^{39} - 22 q^{42} + 44 q^{43} - 4 q^{46} + 17 q^{49} + 8 q^{50} - 88 q^{51} + 44 q^{53} + 11 q^{56} - 22 q^{57} - 28 q^{58} + 121 q^{63} - 8 q^{64} - 154 q^{65} + 58 q^{70} + 42 q^{71} - 28 q^{72} + 22 q^{74} + 38 q^{77} + 58 q^{78} - 88 q^{79} - 26 q^{81} - 11 q^{84} + 26 q^{85} - 132 q^{86} + 22 q^{88} - 4 q^{92} + 152 q^{93} - 68 q^{95} - 27 q^{98} - 44 q^{99}+O(q^{100}) \) 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9 + 11 * q^14 - 8 * q^16 - 6 * q^18 - 33 * q^21 + 18 * q^23 - 58 * q^25 - 11 * q^28 + 16 * q^29 + 22 * q^30 - 8 * q^32 + 47 * q^35 + 16 * q^36 - 22 * q^37 - 30 * q^39 - 22 * q^42 + 44 * q^43 - 4 * q^46 + 17 * q^49 + 8 * q^50 - 88 * q^51 + 44 * q^53 + 11 * q^56 - 22 * q^57 - 28 * q^58 + 121 * q^63 - 8 * q^64 - 154 * q^65 + 58 * q^70 + 42 * q^71 - 28 * q^72 + 22 * q^74 + 38 * q^77 + 58 * q^78 - 88 * q^79 - 26 * q^81 - 11 * q^84 + 26 * q^85 - 132 * q^86 + 22 * q^88 - 4 * q^92 + 152 * q^93 - 68 * q^95 - 27 * q^98 - 44 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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