LMFDB - Embedded newform 322.2.k.a.83.1

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			83.1
Character	$\chi$	$=$	322.83
Dual form			322.2.k.a.97.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.959493 + 0.281733i) q^{2} +(-1.73925 + 1.50707i) q^{3} +(0.841254 - 0.540641i) q^{4} +(0.406529 + 2.82747i) q^{5} +(1.24421 - 1.93603i) q^{6} +(0.697541 + 2.55214i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(0.326790 - 2.27288i) q^{9} +O(q^{10})$	\(q+(-0.959493 + 0.281733i) q^{2} +(-1.73925 + 1.50707i) q^{3} +(0.841254 - 0.540641i) q^{4} +(0.406529 + 2.82747i) q^{5} +(1.24421 - 1.93603i) q^{6} +(0.697541 + 2.55214i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(0.326790 - 2.27288i) q^{9} +(-1.18665 - 2.59840i) q^{10} +(-0.284936 + 0.970403i) q^{11} +(-0.648368 + 2.20814i) q^{12} +(3.12131 - 1.42545i) q^{13} +(-1.38831 - 2.25224i) q^{14} +(-4.96825 - 4.30501i) q^{15} +(0.415415 - 0.909632i) q^{16} +(0.250335 + 0.160881i) q^{17} +(0.326790 + 2.27288i) q^{18} +(-2.14189 + 1.37651i) q^{19} +(1.87064 + 2.15883i) q^{20} +(-5.05946 - 3.38757i) q^{21} -1.01137i q^{22} +(-3.22263 + 3.55171i) q^{23} -2.30136i q^{24} +(-3.03185 + 0.890230i) q^{25} +(-2.59328 + 2.24709i) q^{26} +(-0.875612 - 1.36248i) q^{27} +(1.96660 + 1.76988i) q^{28} +(-4.42692 - 2.84501i) q^{29} +(5.97986 + 2.73091i) q^{30} +(-4.54182 - 3.93551i) q^{31} +(-0.142315 + 0.989821i) q^{32} +(-0.966889 - 2.11719i) q^{33} +(-0.285520 - 0.0838363i) q^{34} +(-6.93253 + 3.00979i) q^{35} +(-0.953897 - 2.08874i) q^{36} +(3.13060 + 0.450112i) q^{37} +(1.66732 - 1.92419i) q^{38} +(-3.28048 + 7.18325i) q^{39} +(-2.40308 - 1.54436i) q^{40} +(-1.66516 + 0.239414i) q^{41} +(5.80890 + 1.82494i) q^{42} +(8.73830 - 7.57178i) q^{43} +(0.284936 + 0.970403i) q^{44} +6.55934 q^{45} +(2.09146 - 4.31576i) q^{46} +7.57140i q^{47} +(0.648368 + 2.20814i) q^{48} +(-6.02687 + 3.56045i) q^{49} +(2.65823 - 1.70834i) q^{50} +(-0.677854 + 0.0974607i) q^{51} +(1.85515 - 2.88668i) q^{52} +(7.98930 + 3.64859i) q^{53} +(1.22400 + 1.06060i) q^{54} +(-2.85962 - 0.411151i) q^{55} +(-2.38557 - 1.14413i) q^{56} +(1.65079 - 5.62206i) q^{57} +(5.04913 + 1.48256i) q^{58} +(6.61951 - 3.02303i) q^{59} +(-6.50702 - 0.935568i) q^{60} +(6.57890 - 7.59246i) q^{61} +(5.46660 + 2.49651i) q^{62} +(6.02866 - 0.751410i) q^{63} +(-0.142315 - 0.989821i) q^{64} +(5.29933 + 8.24592i) q^{65} +(1.52420 + 1.75903i) q^{66} +(4.29528 + 14.6284i) q^{67} +0.297574 q^{68} +(0.252297 - 11.0340i) q^{69} +(5.80376 - 4.84100i) q^{70} +(-1.97960 + 0.581263i) q^{71} +(1.50372 + 1.73539i) q^{72} +(1.61711 + 2.51626i) q^{73} +(-3.13060 + 0.450112i) q^{74} +(3.93150 - 6.11754i) q^{75} +(-1.05767 + 2.31598i) q^{76} +(-2.67536 - 0.0503015i) q^{77} +(1.12384 - 7.81650i) q^{78} +(-15.2197 + 6.95062i) q^{79} +(2.74083 + 0.804781i) q^{80} +(10.1860 + 2.99087i) q^{81} +(1.53026 - 0.698846i) q^{82} +(-1.06281 + 7.39202i) q^{83} +(-6.08775 - 0.114460i) q^{84} +(-0.353117 + 0.773218i) q^{85} +(-6.25112 + 9.72693i) q^{86} +(11.9871 - 1.72349i) q^{87} +(-0.546788 - 0.850819i) q^{88} +(0.142635 + 0.164610i) q^{89} +(-6.29364 + 1.84798i) q^{90} +(5.81521 + 6.97172i) q^{91} +(-0.790853 + 4.73017i) q^{92} +13.8304 q^{93} +(-2.13311 - 7.26471i) q^{94} +(-4.76277 - 5.49653i) q^{95} +(-1.24421 - 1.93603i) q^{96} +(-2.49473 - 17.3512i) q^{97} +(4.77965 - 5.11419i) q^{98} +(2.11249 + 0.964743i) 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 $\left(\mathbb{Z}/322\mathbb{Z}\right)^\times$.

$n$	$185$	$281$
$\chi(n)$	$-1$	$e\left(\frac{21}{22}\right)$

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 $

$2$	−0.959493	+	0.281733i	−0.678464	+	0.199215i
$2$	−0.959493	+	0.281733i	−0.678464	+	0.199215i
$3$	−1.73925	+	1.50707i	−1.00416	+	0.870107i	−0.991538	−	0.129814i	$-0.958562\pi$
$3$	−1.73925	+	1.50707i	−1.00416	+	0.870107i	−0.0126183	+	0.999920i	$0.504017\pi$
$4$	0.841254	−	0.540641i	0.420627	−	0.270320i
$5$	0.406529	+	2.82747i	0.181805	+	1.26448i	0.852491	+	0.522741i	$0.175091\pi$
$5$	0.406529	+	2.82747i	0.181805	+	1.26448i	−0.670686	+	0.741741i	$0.734000\pi$
$6$	1.24421	−	1.93603i	0.507946	−	0.790379i
$7$	0.697541	+	2.55214i	0.263646	+	0.964620i
$7$	0.697541	+	2.55214i	0.263646	+	0.964620i
$8$	−0.654861	+	0.755750i	−0.231528	+	0.267198i
$9$	0.326790	−	2.27288i	0.108930	−	0.757626i
$10$	−1.18665	−	2.59840i	−0.375252	−	0.821687i
$11$	−0.284936	+	0.970403i	−0.0859114	+	0.292587i	−0.991230	−	0.132145i	$-0.957814\pi$
$11$	−0.284936	+	0.970403i	−0.0859114	+	0.292587i	0.905319	+	0.424732i	$0.139632\pi$
$12$	−0.648368	+	2.20814i	−0.187168	+	0.637434i
$13$	3.12131	−	1.42545i	0.865696	−	0.395350i	0.0674792	−	0.997721i	$-0.478504\pi$
$13$	3.12131	−	1.42545i	0.865696	−	0.395350i	0.798216	+	0.602371i	$0.205777\pi$
$14$	−1.38831	−	2.25224i	−0.371041	−	0.601937i
$15$	−4.96825	−	4.30501i	−1.28280	−	1.11155i
$16$	0.415415	−	0.909632i	0.103854	−	0.227408i
$17$	0.250335	+	0.160881i	0.0607152	+	0.0390193i	0.570646	−	0.821196i	$-0.306693\pi$
$17$	0.250335	+	0.160881i	0.0607152	+	0.0390193i	−0.509931	+	0.860215i	$0.670329\pi$
$18$	0.326790	+	2.27288i	0.0770252	+	0.535722i
$19$	−2.14189	+	1.37651i	−0.491383	+	0.315793i	−0.762761	−	0.646680i	$-0.776157\pi$
$19$	−2.14189	+	1.37651i	−0.491383	+	0.315793i	0.271379	+	0.962473i	$0.412520\pi$
$20$	1.87064	+	2.15883i	0.418287	+	0.482729i
$21$	−5.05946	−	3.38757i	−1.10406	−	0.739229i
$22$		−	1.01137i		−	0.215625i
$23$	−3.22263	+	3.55171i	−0.671966	+	0.740582i
$23$	−3.22263	+	3.55171i	−0.671966	+	0.740582i
$24$		−	2.30136i		−	0.469763i
$25$	−3.03185	+	0.890230i	−0.606369	+	0.178046i
$26$	−2.59328	+	2.24709i	−0.508584	+	0.440690i
$27$	−0.875612	−	1.36248i	−0.168512	−	0.262209i
$28$	1.96660	+	1.76988i	0.371653	+	0.334476i
$29$	−4.42692	−	2.84501i	−0.822058	−	0.528304i	0.0606874	−	0.998157i	$-0.480671\pi$
$29$	−4.42692	−	2.84501i	−0.822058	−	0.528304i	−0.882745	+	0.469852i	$0.844307\pi$
$30$	5.97986	+	2.73091i	1.09177	+	0.498594i
$31$	−4.54182	−	3.93551i	−0.815735	−	0.706838i	0.143438	−	0.989659i	$-0.454184\pi$
$31$	−4.54182	−	3.93551i	−0.815735	−	0.706838i	−0.959173	+	0.282821i	$0.908730\pi$
$32$	−0.142315	+	0.989821i	−0.0251579	+	0.174977i
$33$	−0.966889	−	2.11719i	−0.168314	−	0.368556i
$34$	−0.285520	−	0.0838363i	−0.0489663	−	0.0143778i
$35$	−6.93253	+	3.00979i	−1.17181	+	0.508748i
$36$	−0.953897	−	2.08874i	−0.158983	−	0.348124i
$37$	3.13060	+	0.450112i	0.514668	+	0.0739980i	0.394755	−	0.918786i	$-0.370829\pi$
$37$	3.13060	+	0.450112i	0.514668	+	0.0739980i	0.119913	+	0.992784i	$0.461739\pi$
$38$	1.66732	−	1.92419i	0.270475	−	0.312145i
$39$	−3.28048	+	7.18325i	−0.525297	+	1.15024i
$40$	−2.40308	−	1.54436i	−0.379960	−	0.244185i
$41$	−1.66516	+	0.239414i	−0.260054	+	0.0373902i	−0.271109	−	0.962549i	$-0.587390\pi$
$41$	−1.66516	+	0.239414i	−0.260054	+	0.0373902i	0.0110544	+	0.999939i	$0.496481\pi$
$42$	5.80890	+	1.82494i	0.896333	+	0.281594i
$43$	8.73830	−	7.57178i	1.33258	−	1.15469i	0.357229	−	0.934017i	$-0.383722\pi$
$43$	8.73830	−	7.57178i	1.33258	−	1.15469i	0.975349	−	0.220668i	$-0.0708239\pi$
$44$	0.284936	+	0.970403i	0.0429557	+	0.146294i
$45$	6.55934			0.977808
$46$	2.09146	−	4.31576i	0.308369	−	0.636324i
$47$			7.57140i			1.10440i	0.833711	+	0.552201i	$0.186212\pi$
$47$			7.57140i			1.10440i	−0.833711	+	0.552201i	$0.813788\pi$
$48$	0.648368	+	2.20814i	0.0935838	+	0.318717i
$49$	−6.02687	+	3.56045i	−0.860982	+	0.508636i
$50$	2.65823	−	1.70834i	0.375930	−	0.241596i
$51$	−0.677854	+	0.0974607i	−0.0949185	+	0.0136472i
$52$	1.85515	−	2.88668i	0.257264	−	0.400310i
$53$	7.98930	+	3.64859i	1.09741	+	0.501172i	0.880032	−	0.474914i	$-0.157521\pi$
$53$	7.98930	+	3.64859i	1.09741	+	0.501172i	0.217382	+	0.976087i	$0.430248\pi$
$54$	1.22400	+	1.06060i	0.166565	+	0.144329i
$55$	−2.85962	−	0.411151i	−0.385591	−	0.0554396i
$56$	−2.38557	−	1.14413i	−0.318786	−	0.152891i
$57$	1.65079	−	5.62206i	0.218652	−	0.744661i
$58$	5.04913	+	1.48256i	0.662983	+	0.194669i
$59$	6.61951	−	3.02303i	0.861787	−	0.393565i	0.0650435	−	0.997882i	$-0.479281\pi$
$59$	6.61951	−	3.02303i	0.861787	−	0.393565i	0.796744	+	0.604317i	$0.206554\pi$
$60$	−6.50702	−	0.935568i	−0.840052	−	0.120781i
$61$	6.57890	−	7.59246i	0.842342	−	0.972115i	−0.157539	−	0.987513i	$-0.550356\pi$
$61$	6.57890	−	7.59246i	0.842342	−	0.972115i	0.999881	+	0.0153978i	$0.00490147\pi$
$62$	5.46660	+	2.49651i	0.694259	+	0.317058i
$63$	6.02866	−	0.751410i	0.759540	−	0.0946687i
$64$	−0.142315	−	0.989821i	−0.0177894	−	0.123728i
$65$	5.29933	+	8.24592i	0.657301	+	1.02278i
$66$	1.52420	+	1.75903i	0.187617	+	0.216521i
$67$	4.29528	+	14.6284i	0.524752	+	1.78714i	0.611887	+	0.790945i	$0.290411\pi$
$67$	4.29528	+	14.6284i	0.524752	+	1.78714i	−0.0871347	+	0.996197i	$0.527771\pi$
$68$	0.297574			0.0360862
$69$	0.252297	−	11.0340i	0.0303730	−	1.32834i
$70$	5.80376	−	4.84100i	0.693682	−	0.578610i
$71$	−1.97960	+	0.581263i	−0.234935	+	0.0689832i	−0.397081	−	0.917784i	$-0.629977\pi$
$71$	−1.97960	+	0.581263i	−0.234935	+	0.0689832i	0.162146	+	0.986767i	$0.448159\pi$
$72$	1.50372	+	1.73539i	0.177216	+	0.204518i
$73$	1.61711	+	2.51626i	0.189268	+	0.294507i	0.922900	−	0.385041i	$-0.125813\pi$
$73$	1.61711	+	2.51626i	0.189268	+	0.294507i	−0.733632	+	0.679547i	$0.762176\pi$
$74$	−3.13060	+	0.450112i	−0.363925	+	0.0523245i
$75$	3.93150	−	6.11754i	0.453971	−	0.706392i
$76$	−1.05767	+	2.31598i	−0.121324	+	0.265662i
$77$	−2.67536	−	0.0503015i	−0.304886	−	0.00573239i
$78$	1.12384	−	7.81650i	0.127250	−	0.885044i
$79$	−15.2197	+	6.95062i	−1.71235	+	0.782006i	−0.715870	+	0.698234i	$0.753970\pi$
$79$	−15.2197	+	6.95062i	−1.71235	+	0.782006i	−0.996485	+	0.0837722i	$0.973303\pi$
$80$	2.74083	+	0.804781i	0.306435	+	0.0899773i
$81$	10.1860	+	2.99087i	1.13177	+	0.332319i
$82$	1.53026	−	0.698846i	0.168989	−	0.0771746i
$83$	−1.06281	+	7.39202i	−0.116659	+	0.811380i	0.844534	+	0.535502i	$0.179878\pi$
$83$	−1.06281	+	7.39202i	−0.116659	+	0.811380i	−0.961193	+	0.275878i	$0.911032\pi$
$84$	−6.08775	−	0.114460i	−0.664228	−	0.0124886i
$85$	−0.353117	+	0.773218i	−0.0383009	+	0.0838672i
$86$	−6.25112	+	9.72693i	−0.674075	+	1.04888i
$87$	11.9871	−	1.72349i	1.28516	−	0.184778i
$88$	−0.546788	−	0.850819i	−0.0582878	−	0.0906976i
$89$	0.142635	+	0.164610i	0.0151193	+	0.0174486i	0.763259	−	0.646093i	$-0.223598\pi$
$89$	0.142635	+	0.164610i	0.0151193	+	0.0174486i	−0.748140	+	0.663541i	$0.769053\pi$
$90$	−6.29364	+	1.84798i	−0.663408	+	0.194794i
$91$	5.81521	+	6.97172i	0.609599	+	0.730835i
$92$	−0.790853	+	4.73017i	−0.0824522	+	0.493155i
$93$	13.8304			1.43415
$94$	−2.13311	−	7.26471i	−0.220014	−	0.749297i
$95$	−4.76277	−	5.49653i	−0.488650	−	0.563932i
$96$	−1.24421	−	1.93603i	−0.126986	−	0.197595i
$97$	−2.49473	−	17.3512i	−0.253301	−	1.76175i	−0.578100	−	0.815966i	$-0.696206\pi$
$97$	−2.49473	−	17.3512i	−0.253301	−	1.76175i	0.324799	−	0.945783i	$-0.394703\pi$
$98$	4.77965	−	5.11419i	0.482817	−	0.516612i
$99$	2.11249	+	0.964743i	0.212313	+	0.0969603i
$100$	−2.06926	+	2.38805i	−0.206926	+	0.238805i
$101$	−7.25965	−	1.04378i	−0.722362	−	0.103860i	−0.228679	−	0.973502i	$-0.573441\pi$
$101$	−7.25965	−	1.04378i	−0.722362	−	0.103860i	−0.493683	+	0.869642i	$0.664350\pi$
$102$	0.622938	−	0.284486i	0.0616801	−	0.0281683i
$103$	1.35901	+	0.399041i	0.133907	+	0.0393187i	0.347999	−	0.937495i	$-0.386861\pi$
$103$	1.35901	+	0.399041i	0.133907	+	0.0393187i	−0.214092	+	0.976813i	$0.568679\pi$
$104$	−0.966737	+	3.29240i	−0.0947963	+	0.322847i
$105$	7.52144	−	15.6826i	0.734018	−	1.53046i
$106$	−8.69360	−	1.24995i	−0.844397	−	0.121406i
$107$	−2.29218	−	1.98619i	−0.221593	−	0.192012i	0.536988	−	0.843590i	$-0.319562\pi$
$107$	−2.29218	−	1.98619i	−0.221593	−	0.192012i	−0.758582	+	0.651578i	$0.774107\pi$
$108$	−1.47322	−	0.672799i	−0.141761	−	0.0647401i
$109$	7.16221	−	11.1446i	0.686016	−	1.06746i	−0.307253	−	0.951628i	$-0.599410\pi$
$109$	7.16221	−	11.1446i	0.686016	−	1.06746i	0.993269	−	0.115833i	$-0.0369539\pi$
$110$	2.85962	−	0.411151i	0.272654	−	0.0392017i
$111$	−6.12325	+	3.93517i	−0.581193	+	0.373510i
$112$	2.61128	+	0.425693i	0.246743	+	0.0402242i
$113$	2.04605	+	6.96821i	0.192476	+	0.655514i	0.998015	+	0.0629711i	$0.0200576\pi$
$113$	2.04605	+	6.96821i	0.192476	+	0.655514i	−0.805539	+	0.592543i	$0.798124\pi$
$114$			5.85941i			0.548784i
$115$	−11.3524	−	7.66802i	−1.05862	−	0.715047i
$116$	−5.26228			−0.488591
$117$	−2.21987	−	7.56018i	−0.205227	−	0.698939i
$118$	−5.49969	+	4.76551i	−0.506288	+	0.438701i
$119$	−0.235971	+	0.751112i	−0.0216315	+	0.0688544i
$120$	6.50702	−	0.935568i	0.594007	−	0.0854053i
$121$	8.39330	+	5.39404i	0.763027	+	0.490368i
$122$	−4.17337	+	9.13840i	−0.377839	+	0.827352i
$123$	2.53532	−	2.92591i	0.228602	−	0.263821i
$124$	−5.94852	−	0.855268i	−0.534193	−	0.0768053i
$125$	2.18363	+	4.78147i	0.195309	+	0.427668i
$126$	−5.57276	+	2.41944i	−0.496461	+	0.215541i
$127$	−12.9944	−	3.81551i	−1.15307	−	0.338572i	−0.351334	−	0.936250i	$-0.614272\pi$
$127$	−12.9944	−	3.81551i	−1.15307	−	0.338572i	−0.801736	+	0.597678i	$0.796090\pi$
$128$	0.415415	+	0.909632i	0.0367178	+	0.0804009i
$129$	−3.78690	+	26.3384i	−0.333418	+	2.31897i
$130$	−7.40781	−	6.41891i	−0.649708	−	0.562975i
$131$	5.52098	+	2.52135i	0.482371	+	0.220291i	0.641732	−	0.766929i	$-0.278216\pi$
$131$	5.52098	+	2.52135i	0.482371	+	0.220291i	−0.159361	+	0.987220i	$0.550943\pi$
$132$	−1.95804	−	1.25836i	−0.170425	−	0.109526i
$133$	−5.00710	−	4.50623i	−0.434171	−	0.390740i
$134$	−8.24259	−	12.8257i	−0.712051	−	1.10797i
$135$	3.49640	−	3.02965i	0.300923	−	0.260751i
$136$	−0.285520	+	0.0838363i	−0.0244832	+	0.00718890i
$137$			20.2884i			1.73336i	0.498868	+	0.866678i	$0.333749\pi$
$137$			20.2884i			1.73336i	−0.498868	+	0.866678i	$0.666251\pi$
$138$	2.86657	+	10.6582i	0.244019	+	0.907283i
$139$			16.2014i			1.37418i	0.726572	+	0.687090i	$0.241112\pi$
$139$			16.2014i			1.37418i	−0.726572	+	0.687090i	$0.758888\pi$
$140$	−4.20480	+	6.28001i	−0.355371	+	0.530758i
$141$	−11.4106	−	13.1686i	−0.960948	−	1.10899i
$142$	1.73565	−	1.11543i	0.145653	−	0.0936052i
$143$	0.493892	+	3.43509i	0.0413013	+	0.287257i
$144$	−1.93173	−	1.24145i	−0.160977	−	0.103454i
$145$	6.24450	−	13.6735i	0.518577	−	1.13553i
$146$	−2.26051	−	1.95875i	−0.187082	−	0.162107i
$147$	5.11640	−	15.2754i	0.421993	−	1.25990i
$148$	2.87698	−	1.31387i	0.236486	−	0.108000i
$149$	−0.704601	+	2.39965i	−0.0577232	+	0.196587i	−0.983307	−	0.181957i	$-0.941757\pi$
$149$	−0.704601	+	2.39965i	−0.0577232	+	0.196587i	0.925583	+	0.378544i	$0.123575\pi$
$150$	−2.04874	+	6.97736i	−0.167279	+	0.569699i
$151$	−1.30217	−	2.85135i	−0.105969	−	0.232040i	0.849218	−	0.528042i	$-0.177074\pi$
$151$	−1.30217	−	2.85135i	−0.105969	−	0.232040i	−0.955187	+	0.296002i	$0.904346\pi$
$152$	0.362343	−	2.52015i	0.0293899	−	0.204411i
$153$	0.447469	−	0.516407i	0.0361757	−	0.0417490i
$154$	2.58116	−	0.705472i	0.207996	−	0.0568486i
$155$	9.28115	−	14.4417i	0.745480	−	1.15999i
$156$	1.12384	+	7.81650i	0.0899794	+	0.625821i
$157$	−5.54224	+	3.56178i	−0.442319	+	0.284261i	−0.742783	−	0.669532i	$-0.766495\pi$
$157$	−5.54224	+	3.56178i	−0.442319	+	0.284261i	0.300464	+	0.953793i	$0.402858\pi$
$158$	12.6450	−	10.9570i	1.00598	−	0.871690i
$159$	−19.3941	+	5.69461i	−1.53805	+	0.451612i
$160$	−2.85654			−0.225830
$161$	−11.3124	−	5.74716i	−0.891541	−	0.452940i
$162$	−10.6160			−0.834071
$163$	6.70831	−	1.96974i	0.525435	−	0.154282i	−0.00824839	−	0.999966i	$-0.502626\pi$
$163$	6.70831	−	1.96974i	0.525435	−	0.154282i	0.533683	+	0.845684i	$0.320807\pi$
$164$	−1.27138	+	1.10166i	−0.0992785	+	0.0860253i
$165$	5.59322	−	3.59455i	0.435432	−	0.279835i
$166$	−1.06281	−	7.39202i	−0.0824902	−	0.573732i
$167$	6.44114	−	10.0226i	0.498430	−	0.775573i	−0.497330	−	0.867562i	$-0.665686\pi$
$167$	6.44114	−	10.0226i	0.498430	−	0.775573i	0.995760	+	0.0919889i	$0.0293224\pi$
$168$	5.87340	−	1.60529i	0.453142	−	0.123851i
$169$	−0.802532	+	0.926172i	−0.0617333	+	0.0712440i
$170$	0.120972	−	0.841381i	0.00927816	−	0.0645310i
$171$	2.42868	+	5.31808i	0.185726	+	0.406684i
$172$	3.25751	−	11.0941i	0.248383	−	0.845915i
$173$	−2.28014	+	7.76545i	−0.173356	+	0.590396i	0.826276	+	0.563265i	$0.190455\pi$
$173$	−2.28014	+	7.76545i	−0.173356	+	0.590396i	−0.999632	+	0.0271305i	$0.991363\pi$
$174$	−11.0160	+	5.03084i	−0.835122	+	0.381387i
$175$	−4.38683	−	7.11673i	−0.331613	−	0.537975i
$176$	0.764343	+	0.662307i	0.0576145	+	0.0499232i
$177$	−6.95708	+	15.2339i	−0.522926	+	1.14505i
$178$	−0.183233	−	0.117757i	−0.0137339	−	0.00882624i
$179$	−2.18308	−	15.1836i	−0.163171	−	1.13488i	−0.892609	−	0.450832i	$-0.851127\pi$
$179$	−2.18308	−	15.1836i	−0.163171	−	1.13488i	0.729438	−	0.684047i	$-0.239782\pi$
$180$	5.51807	−	3.54625i	0.411292	−	0.264322i
$181$	10.3886	+	11.9891i	0.772177	+	0.891139i	0.996519	−	0.0833711i	$-0.0265687\pi$
$181$	10.3886	+	11.9891i	0.772177	+	0.891139i	−0.224342	+	0.974511i	$0.572023\pi$
$182$	−7.54381	−	5.05098i	−0.559184	−	0.374404i
$183$			23.1201i			1.70908i
$184$	−0.573826	−	4.76138i	−0.0423030	−	0.351013i
$185$			9.03466i			0.664241i
$186$	−13.2702	+	3.89649i	−0.973019	+	0.285704i
$187$	−0.227449	+	0.197085i	−0.0166327	+	0.0144123i
$188$	4.09341	+	6.36947i	0.298543	+	0.464541i
$189$	2.86647	−	3.18507i	0.208505	−	0.231680i
$190$	6.11840	+	3.93205i	0.443875	+	0.285261i
$191$	−1.26580	−	0.578072i	−0.0915901	−	0.0418278i	0.369093	−	0.929392i	$-0.379668\pi$
$191$	−1.26580	−	0.578072i	−0.0915901	−	0.0418278i	−0.460683	+	0.887565i	$0.652396\pi$
$192$	1.73925	+	1.50707i	0.125520	+	0.108763i
$193$	−2.78349	+	19.3596i	−0.200360	+	1.39353i	0.602859	+	0.797848i	$0.294028\pi$
$193$	−2.78349	+	19.3596i	−0.200360	+	1.39353i	−0.803219	+	0.595684i	$0.796881\pi$
$194$	7.28208	+	15.9455i	0.522823	+	1.14482i
$195$	−21.6440	−	6.35526i	−1.54996	−	0.455110i
$196$	−3.14520	+	6.25361i	−0.224657	+	0.446687i
$197$	4.20141	+	9.19981i	0.299338	+	0.655459i	0.998211	−	0.0597866i	$-0.0190420\pi$
$197$	4.20141	+	9.19981i	0.299338	+	0.655459i	−0.698873	+	0.715246i	$0.746315\pi$
$198$	−2.29872	−	0.330506i	−0.163363	−	0.0234880i
$199$	−9.62827	+	11.1116i	−0.682530	+	0.787682i	−0.986282	−	0.165069i	$-0.947215\pi$
$199$	−9.62827	+	11.1116i	−0.682530	+	0.787682i	0.303752	+	0.952751i	$0.401761\pi$
$200$	1.31265	−	2.87429i	0.0928181	−	0.203243i
$201$	−29.5166	−	18.9691i	−2.08194	−	1.33798i
$202$	7.25965	−	1.04378i	0.510787	−	0.0734401i
$203$	4.17291	−	13.2826i	0.292881	−	0.932258i
$204$	−0.517556	+	0.448465i	−0.0362362	+	0.0313988i
$205$	−1.35387	−	4.61086i	−0.0945584	−	0.322036i
$206$	−1.41638			−0.0986841
$207$	7.01947	+	8.48531i	0.487887	+	0.589770i
$208$		−	3.43140i		−	0.237925i
$209$	−0.725466	−	2.47071i	−0.0501815	−	0.170903i
$210$	−2.79848	+	17.1664i	−0.193113	+	1.18459i
$211$	9.77858	−	6.28431i	0.673185	−	0.432630i	−0.158887	−	0.987297i	$-0.550791\pi$
$211$	9.77858	−	6.28431i	0.673185	−	0.432630i	0.832072	+	0.554667i	$0.187154\pi$
$212$	8.69360	−	1.24995i	0.597079	−	0.0858470i
$213$	2.56701	−	3.99435i	0.175889	−	0.273689i
$214$	2.75890	+	1.25995i	0.188595	+	0.0861284i
$215$	24.9613	+	21.6291i	1.70235	+	1.47509i
$216$	1.60310	+	0.230490i	0.109077	+	0.0156829i
$217$	6.87588	−	14.3366i	0.466765	−	0.973229i
$218$	−3.73229	+	12.7110i	−0.252783	+	0.860899i
$219$	−6.60474	−	1.93933i	−0.446307	−	0.131047i
$220$	−2.62795	+	1.20014i	−0.177176	+	0.0809137i
$221$	1.01070	+	0.145317i	0.0679872	+	0.00977508i
$222$	4.76655	−	5.50089i	0.319910	−	0.369196i
$223$	22.9652	+	10.4878i	1.53786	+	0.702318i	0.990870	−	0.134820i	$-0.0430455\pi$
$223$	22.9652	+	10.4878i	1.53786	+	0.702318i	0.546992	+	0.837138i	$0.315773\pi$
$224$	−2.62544	+	0.327233i	−0.175419	+	0.0218642i
$225$	1.03261	+	7.18193i	0.0688404	+	0.478796i
$226$	−3.92634	−	6.10951i	−0.261176	−	0.406398i
$227$	−15.8539	−	18.2964i	−1.05226	−	1.21438i	−0.976110	−	0.217279i	$-0.930282\pi$
$227$	−15.8539	−	18.2964i	−1.05226	−	1.21438i	−0.0761525	−	0.997096i	$-0.524264\pi$
$228$	−1.65079	−	5.62206i	−0.109326	−	0.372330i
$229$	−7.29772			−0.482247			−0.241124	−	0.970494i	$-0.577516\pi$
$229$	−7.29772			−0.482247			−0.241124	+	0.970494i	$0.577516\pi$
$230$	13.0529	+	4.15906i	0.860684	+	0.274241i
$231$	4.72893	−	3.94447i	0.311141	−	0.259527i
$232$	5.04913	−	1.48256i	0.331491	−	0.0973346i
$233$	−15.8087	−	18.2442i	−1.03566	−	1.19522i	−0.980456	−	0.196741i	$-0.936964\pi$
$233$	−15.8087	−	18.2442i	−1.03566	−	1.19522i	−0.0552048	−	0.998475i	$-0.517581\pi$
$234$	4.25990	+	6.62853i	0.278478	+	0.433321i
$235$	−21.4079	+	3.07799i	−1.39650	+	0.200786i
$236$	3.93432	−	6.12191i	0.256102	−	0.398503i
$237$	15.9959	−	35.0261i	1.03904	−	2.27519i
$238$	0.0148001	−	0.787168i	0.000959350	−	0.0510245i
$239$	−1.89543	+	13.1830i	−0.122605	+	0.852736i	0.831982	+	0.554803i	$0.187206\pi$
$239$	−1.89543	+	13.1830i	−0.122605	+	0.852736i	−0.954587	+	0.297933i	$0.903703\pi$
$240$	−5.97986	+	2.73091i	−0.385998	+	0.176279i
$241$	7.38136	+	2.16736i	0.475475	+	0.139612i	0.510685	−	0.859768i	$-0.329392\pi$
$241$	7.38136	+	2.16736i	0.475475	+	0.139612i	−0.0352099	+	0.999380i	$0.511210\pi$
$242$	−9.57299	−	2.81088i	−0.615375	−	0.180690i
$243$	−17.8037	+	8.13069i	−1.14211	+	0.521584i
$244$	1.42973	−	9.94401i	0.0915292	−	0.636600i
$245$	−12.5172	−	15.5934i	−0.799692	−	0.996224i
$246$	−1.60829	+	3.52167i	−0.102541	+	0.224534i
$247$	−4.72335	+	7.34967i	−0.300539	+	0.467648i
$248$	5.94852	−	0.855268i	0.377731	−	0.0543096i
$249$	−9.29179	−	14.4583i	−0.588843	−	0.916258i
$250$	−3.44227	−	3.97259i	−0.217708	−	0.251249i
$251$	26.5943	−	7.80881i	1.67862	−	0.492887i	0.702786	−	0.711401i	$-0.251939\pi$
$251$	26.5943	−	7.80881i	1.67862	−	0.492887i	0.975834	+	0.218513i	$0.0701208\pi$
$252$	4.66539	−	3.89146i	0.293892	−	0.245139i
$253$	−2.52834	−	4.13926i	−0.158956	−	0.260233i
$254$	13.5430			0.849765
$255$	−0.551134	−	1.87699i	−0.0345134	−	0.117542i
$256$	−0.654861	−	0.755750i	−0.0409288	−	0.0472343i
$257$	−5.66212	−	8.81043i	−0.353193	−	0.549579i	0.618512	−	0.785775i	$-0.287736\pi$
$257$	−5.66212	−	8.81043i	−0.353193	−	0.549579i	−0.971705	+	0.236196i	$0.924099\pi$
$258$	−3.78690	−	26.3384i	−0.235762	−	1.63976i
$259$	1.03497	+	8.30372i	0.0643100	+	0.515968i
$260$	8.91616	+	4.07187i	0.552957	+	0.252527i
$261$	−7.91302	+	9.13211i	−0.489804	+	0.565264i
$262$	−6.00769	−	0.863776i	−0.371156	−	0.0533642i
$263$	8.16183	−	3.72738i	0.503280	−	0.229840i	−0.147563	−	0.989053i	$-0.547143\pi$
$263$	8.16183	−	3.72738i	0.503280	−	0.229840i	0.650843	+	0.759212i	$0.274416\pi$
$264$	2.23324	+	0.655740i	0.137447	+	0.0403580i
$265$	−7.06839	+	24.0727i	−0.434208	+	1.47878i
$266$	6.07383	+	2.91304i	0.372410	+	0.178610i
$267$	−0.496156	−	0.0713365i	−0.0303642	−	0.00436572i
$268$	11.5221	+	9.98398i	0.703826	+	0.609868i
$269$	3.11603	+	1.42304i	0.189987	+	0.0867644i	0.508137	−	0.861276i	$-0.330334\pi$
$269$	3.11603	+	1.42304i	0.189987	+	0.0867644i	−0.318150	+	0.948040i	$0.603062\pi$
$270$	−2.50122	+	3.89198i	−0.152220	+	0.236858i
$271$	31.4363	−	4.51985i	1.90962	−	0.274562i	0.917292	−	0.398215i	$-0.130370\pi$
$271$	31.4363	−	4.51985i	1.90962	−	0.274562i	0.992325	+	0.123654i	$0.0394612\pi$
$272$	0.250335	−	0.160881i	0.0151788	−	0.00975482i
$273$	−20.6210	−	3.36164i	−1.24804	−	0.203456i
$274$	−5.71590	−	19.4666i	−0.345310	−	1.17602i
$275$		−	3.19577i		−	0.192712i
$276$	−5.75321	−	9.41883i	−0.346302	−	0.566947i
$277$	−11.1142			−0.667786			−0.333893	−	0.942611i	$-0.608362\pi$
$277$	−11.1142			−0.667786			−0.333893	+	0.942611i	$0.608362\pi$
$278$	−4.56445	−	15.5451i	−0.273757	−	0.932332i
$279$	−10.4292	+	9.03691i	−0.624377	+	0.541026i
$280$	2.26519	−	7.21026i	0.135371	−	0.430895i
$281$	14.8943	−	2.14147i	0.888518	−	0.127750i	0.317084	−	0.948398i	$-0.397296\pi$
$281$	14.8943	−	2.14147i	0.888518	−	0.127750i	0.571434	+	0.820648i	$0.306387\pi$
$282$	14.6584	+	9.42040i	0.872897	+	0.560977i
$283$	7.16977	−	15.6996i	0.426198	−	0.933244i	−0.567730	−	0.823215i	$-0.692178\pi$
$283$	7.16977	−	15.6996i	0.426198	−	0.933244i	0.993928	−	0.110029i	$-0.0350945\pi$
$284$	−1.35109	+	1.55924i	−0.0801724	+	0.0925239i
$285$	16.5673	+	2.38202i	0.981362	+	0.141099i
$286$	−1.44166	−	3.15680i	−0.0852473	−	0.186666i
$287$	−1.77254	−	4.08273i	−0.104630	−	0.240996i
$288$	2.20324	+	0.646928i	0.129827	+	0.0381206i
$289$	−7.02527	−	15.3832i	−0.413251	−	0.904894i
$290$	−2.13927	+	14.8789i	−0.125622	+	0.873722i
$291$	30.4884	+	26.4184i	1.78726	+	1.54867i
$292$	2.72079	+	1.24254i	0.159222	+	0.0727144i
$293$	2.87038	+	1.84468i	0.167689	+	0.107767i	0.621794	−	0.783181i	$-0.286404\pi$
$293$	2.87038	+	1.84468i	0.167689	+	0.107767i	−0.454104	+	0.890949i	$0.650041\pi$
$294$	−0.605560	+	16.0981i	−0.0353170	+	0.938862i
$295$	11.2385	+	17.4875i	0.654333	+	1.01816i
$296$	−2.39028	+	2.07119i	−0.138932	+	0.120385i
$297$	1.57165	−	0.461477i	0.0911962	−	0.0267776i
$298$		−	2.50096i		−	0.144877i
$299$	−4.99604	+	15.6797i	−0.288928	+	0.906781i
$300$		−	7.27193i		−	0.419845i
$301$	25.4196	+	17.0198i	1.46516	+	0.981003i
$302$	2.05274	+	2.36899i	0.118122	+	0.136320i
$303$	14.1994	−	9.12540i	0.815734	−	0.524241i
$304$	0.362343	+	2.52015i	0.0207818	+	0.144541i
$305$	24.1420	+	15.5151i	1.38236	+	0.888392i
$306$	−0.283855	+	0.621556i	−0.0162269	+	0.0355320i
$307$	8.82918	+	7.65053i	0.503908	+	0.436639i	0.869351	−	0.494195i	$-0.164537\pi$
$307$	8.82918	+	7.65053i	0.503908	+	0.436639i	−0.365443	+	0.930834i	$0.619083\pi$
$308$	−2.27785	+	1.40409i	−0.129793	+	0.0800056i
$309$	−2.96504	+	1.35409i	−0.168675	+	0.0770315i
$310$	−4.83649	+	16.4716i	−0.274694	+	0.935522i
$311$	4.75134	−	16.1816i	0.269424	−	0.917572i	−0.707987	−	0.706225i	$-0.750397\pi$
$311$	4.75134	−	16.1816i	0.269424	−	0.917572i	0.977411	−	0.211347i	$-0.0677851\pi$
$312$	−3.28048	−	7.18325i	−0.185721	−	0.406672i
$313$	0.785424	−	5.46274i	0.0443948	−	0.308772i	−0.955510	−	0.294959i	$-0.904694\pi$
$313$	0.785424	−	5.46274i	0.0443948	−	0.308772i	0.999905	−	0.0138131i	$-0.00439700\pi$
$314$	4.31427	−	4.97893i	0.243468	−	0.280978i
$315$	4.57541	+	16.7404i	0.257795	+	0.943213i
$316$	−9.04587	+	14.0756i	−0.508870	+	0.791817i
$317$	2.00832	+	13.9682i	0.112799	+	0.784531i	0.965175	+	0.261603i	$0.0842512\pi$
$317$	2.00832	+	13.9682i	0.112799	+	0.784531i	−0.852377	+	0.522928i	$0.824840\pi$
$318$	17.0041	−	10.9279i	0.953543	−	0.612805i
$319$	4.02219	−	3.48525i	0.225199	−	0.195136i
$320$	2.74083	−	0.804781i	0.153217	−	0.0449886i
$321$	6.98000			0.389585
$322$	12.4733	+	2.32729i	0.695111	+	0.129695i
$323$	−0.757643			−0.0421564
$324$	10.1860	−	2.99087i	0.565887	−	0.166159i
$325$	−8.19435	+	7.10044i	−0.454541	+	0.393862i
$326$	−5.88163	+	3.77990i	−0.325754	+	0.209349i
$327$	4.33883	+	30.1772i	0.239938	+	1.66881i
$328$	0.909511	−	1.41523i	0.0502193	−	0.0781428i
$329$	−19.3233	+	5.28137i	−1.06533	+	0.291171i
$330$	−4.35396	+	5.02474i	−0.239678	+	0.276603i
$331$	4.15353	−	28.8884i	0.228299	−	1.58785i	−0.476975	−	0.878917i	$-0.658267\pi$
$331$	4.15353	−	28.8884i	0.228299	−	1.58785i	0.705274	−	0.708935i	$-0.250824\pi$
$332$	3.10233	+	6.79316i	0.170263	+	0.372823i
$333$	2.04610	−	6.96838i	0.112126	−	0.381865i
$334$	−3.35653	+	11.4313i	−0.183661	+	0.625493i
$335$	−39.6151	+	18.0916i	−2.16441	+	0.988451i
$336$	−5.18322	+	3.19499i	−0.282768	+	0.174301i
$337$	4.64781	+	4.02735i	0.253182	+	0.219384i	0.772200	−	0.635380i	$-0.219157\pi$
$337$	4.64781	+	4.02735i	0.253182	+	0.219384i	−0.519017	+	0.854764i	$0.673702\pi$
$338$	0.509091	−	1.11475i	0.0276909	−	0.0606347i
$339$	−14.0602	−	9.03592i	−0.763643	−	0.490764i
$340$	0.120972	+	0.841381i	0.00656065	+	0.0456303i
$341$	5.11316	−	3.28603i	0.276893	−	0.177948i
$342$	−3.82858	−	4.41842i	−0.207026	−	0.238921i
$343$	−13.2908	−	12.8979i	−0.717634	−	0.696420i
$344$			11.5624i			0.623404i
$345$	31.3010	−	3.77229i	1.68519	−	0.203093i
$346$		−	8.09328i		−	0.435098i
$347$	14.8906	−	4.37226i	0.799367	−	0.234715i	0.143558	−	0.989642i	$-0.454146\pi$
$347$	14.8906	−	4.37226i	0.799367	−	0.234715i	0.655809	+	0.754927i	$0.272328\pi$
$348$	9.15243	−	7.93063i	0.490622	−	0.425126i
$349$	9.39988	+	14.6265i	0.503164	+	0.782939i	0.996202	−	0.0870689i	$-0.0277500\pi$
$349$	9.39988	+	14.6265i	0.503164	+	0.782939i	−0.493038	+	0.870008i	$0.664114\pi$
$350$	6.21415	+	5.59254i	0.332160	+	0.298934i
$351$	−4.67521	−	3.00457i	−0.249544	−	0.160372i
$352$	−0.919975	−	0.420138i	−0.0490348	−	0.0223935i
$353$	−14.9202	−	12.9284i	−0.794121	−	0.688109i	0.160137	−	0.987095i	$-0.448806\pi$
$353$	−14.9202	−	12.9284i	−0.794121	−	0.688109i	−0.954258	+	0.298985i	$0.903352\pi$
$354$	2.38339	−	16.5768i	0.126676	−	0.881048i
$355$	−2.44826	−	5.36095i	−0.129940	−	0.284530i
$356$	0.208987	+	0.0613641i	0.0110763	+	0.00325229i
$357$	−0.721565	−	1.66200i	−0.0381893	−	0.0879623i
$358$	6.37237	+	13.9536i	0.336790	+	0.737468i
$359$	−17.2199	−	2.47585i	−0.908831	−	0.130670i	−0.327984	−	0.944683i	$-0.606369\pi$
$359$	−17.2199	−	2.47585i	−0.908831	−	0.130670i	−0.580846	+	0.814013i	$0.697278\pi$
$360$	−4.29545	+	4.95722i	−0.226390	+	0.261268i
$361$	−5.19998	+	11.3864i	−0.273683	+	0.599282i
$362$	−13.3455	−	8.57661i	−0.701422	−	0.450777i
$363$	−22.7272	+	3.26768i	−1.19287	+	0.171509i
$364$	8.66126	+	2.72104i	0.453973	+	0.142621i
$365$	−6.45726	+	5.59525i	−0.337988	+	0.292869i
$366$	−6.51367	−	22.1835i	−0.340475	−	1.15955i
$367$	28.3956			1.48224			0.741120	−	0.671372i	$-0.234295\pi$
$367$	28.3956			1.48224			0.741120	+	0.671372i	$0.234295\pi$
$368$	1.89202	+	4.40684i	0.0986282	+	0.229723i
$369$			3.86294i			0.201097i
$370$	−2.54536	−	8.66869i	−0.132327	−	0.450664i
$371$	−3.73886	+	22.9349i	−0.194112	+	1.19072i
$372$	11.6349	−	7.47730i	0.603242	−	0.387680i
$373$	−11.9955	+	1.72469i	−0.621102	+	0.0893010i	−0.445680	−	0.895192i	$-0.647038\pi$
$373$	−11.9955	+	1.72469i	−0.621102	+	0.0893010i	−0.175422	+	0.984493i	$0.556129\pi$
$374$	0.162710	−	0.253182i	0.00841353	−	0.0130917i
$375$	−11.0039	−	5.02530i	−0.568238	−	0.259506i
$376$	−5.72208	−	4.95821i	−0.295094	−	0.255700i
$377$	−17.8732	−	2.56978i	−0.920517	−	0.132350i
$378$	−1.85302	+	3.86363i	−0.0953088	+	0.198724i
$379$	−5.37962	+	18.3213i	−0.276332	+	0.941101i	0.698021	+	0.716077i	$0.254064\pi$
$379$	−5.37962	+	18.3213i	−0.276332	+	0.941101i	−0.974353	+	0.225024i	$0.927754\pi$
$380$	−6.97835	−	2.04903i	−0.357982	−	0.105113i
$381$	28.3508	−	12.9474i	1.45246	−	0.663315i
$382$	1.37739	+	0.198039i	0.0704733	+	0.0101325i
$383$	13.4230	−	15.4910i	0.685885	−	0.791553i	−0.300889	−	0.953659i	$-0.597283\pi$
$383$	13.4230	−	15.4910i	0.685885	−	0.791553i	0.986773	+	0.162106i	$0.0518287\pi$
$384$	−2.09339	−	0.956019i	−0.106828	−	0.0487866i
$385$	−0.945385	−	7.58495i	−0.0481813	−	0.386565i
$386$	−2.78349	−	19.3596i	−0.141676	−	0.985376i
$387$	−14.3541	−	22.3355i	−0.729661	−	1.13538i
$388$	−11.4795	−	13.2480i	−0.582782	−	0.672566i
$389$	−4.86151	−	16.5568i	−0.246488	−	0.839462i	−0.986061	−	0.166385i	$-0.946791\pi$
$389$	−4.86151	−	16.5568i	−0.246488	−	0.839462i	0.739573	−	0.673077i	$-0.235028\pi$
$390$	22.5578			1.14226
$391$	−1.37814	+	0.370658i	−0.0696955	+	0.0187450i
$392$	1.25595	−	6.88641i	0.0634352	−	0.347816i
$393$	−13.4022	+	3.93525i	−0.676053	+	0.198507i
$394$	−6.62311	−	7.64348i	−0.333667	−	0.385073i
$395$	−25.8399	−	40.2077i	−1.30015	−	2.02307i
$396$	2.29872	−	0.330506i	0.115515	−	0.0166086i
$397$	−17.6551	+	27.4719i	−0.886085	+	1.37877i	0.0390907	+	0.999236i	$0.487554\pi$
$397$	−17.6551	+	27.4719i	−0.886085	+	1.37877i	−0.925176	+	0.379539i	$0.876082\pi$
$398$	6.10776	−	13.3741i	0.306154	−	0.670384i
$399$	15.4998	+	0.291424i	0.775961	+	0.0145894i
$400$	−0.449692	+	3.12768i	−0.0224846	+	0.156384i
$401$	−1.29640	+	0.592048i	−0.0647393	+	0.0295654i	−0.447522	−	0.894273i	$-0.647693\pi$
$401$	−1.29640	+	0.592048i	−0.0647393	+	0.0295654i	0.382782	+	0.923839i	$0.374966\pi$
$402$	33.6652	+	9.88498i	1.67907	+	0.493018i
$403$	−19.7863	−	5.80979i	−0.985627	−	0.289406i
$404$	−6.67152	+	3.04678i	−0.331920	+	0.151583i
$405$	−4.31570	+	30.0164i	−0.214449	+	1.49153i
$406$	−0.261725	+	13.9202i	−0.0129892	+	0.690850i
$407$	−1.32881	+	2.90969i	−0.0658667	+	0.144228i
$408$	0.370244	−	0.576111i	0.0183298	−	0.0285217i
$409$	34.6004	−	4.97478i	1.71088	−	0.245987i	0.783842	−	0.620960i	$-0.213257\pi$
$409$	34.6004	−	4.97478i	1.71088	−	0.245987i	0.927036	+	0.374973i	$0.122348\pi$
$410$	2.59806	+	4.04266i	0.128309	+	0.199653i
$411$	−30.5760	−	35.2866i	−1.50820	−	1.74056i
$412$	1.35901	−	0.399041i	0.0669536	−	0.0196594i
$413$	12.3326	+	14.7853i	0.606847	+	0.727535i
$414$	−9.12572	−	6.16399i	−0.448505	−	0.302943i
$415$	−21.3328			−1.04718
$416$	0.966737	+	3.29240i	0.0473982	+	0.161423i
$417$	−24.4166	−	28.1782i	−1.19568	−	1.37989i
$418$	1.39216	+	2.16624i	0.0680927	+	0.105954i
$419$	−4.23110	−	29.4279i	−0.206703	−	1.43765i	−0.783820	−	0.620988i	$-0.786732\pi$
$419$	−4.23110	−	29.4279i	−0.206703	−	1.43765i	0.577118	−	0.816661i	$-0.304177\pi$
$420$	−2.15121	−	17.2594i	−0.104968	−	0.842174i
$421$	−4.51873	−	2.06364i	−0.220230	−	0.100575i	0.302245	−	0.953230i	$-0.402264\pi$
$421$	−4.51873	−	2.06364i	−0.220230	−	0.100575i	−0.522475	+	0.852655i	$0.674991\pi$
$422$	−7.61198	+	8.78469i	−0.370545	+	0.427632i
$423$	17.2089	+	2.47426i	0.836724	+	0.120303i
$424$	−7.98930	+	3.64859i	−0.387995	+	0.177191i
$425$	−0.902199	−	0.264909i	−0.0437631	−	0.0128500i
$426$	−1.33769	+	4.55577i	−0.0648115	+	0.220728i
$427$	23.9661	+	11.4943i	1.15980	+	0.556246i
$428$	−3.00212	−	0.431639i	−0.145113	−	0.0208641i
$429$	−6.03592	−	5.23016i	−0.291417	−	0.252514i
$430$	−30.0438	−	13.7206i	−1.44884	−	0.661664i
$431$	10.7115	−	16.6674i	0.515953	−	0.802839i	−0.481327	−	0.876541i	$-0.659845\pi$
$431$	10.7115	−	16.6674i	0.515953	−	0.802839i	0.997280	+	0.0737023i	$0.0234815\pi$
$432$	−1.60310	+	0.230490i	−0.0771290	+	0.0110895i
$433$	−22.2736	+	14.3144i	−1.07040	+	0.687905i	−0.952320	−	0.305099i	$-0.901310\pi$
$433$	−22.2736	+	14.3144i	−1.07040	+	0.687905i	−0.118080	+	0.993004i	$0.537674\pi$
$434$	−2.55828	+	15.6930i	−0.122801	+	0.753287i
$435$	9.74623	+	33.1926i	0.467296	+	1.59146i
$436$		−	13.2476i		−	0.634447i
$437$	2.01357	−	12.0433i	0.0963219	−	0.576111i
$438$	6.88357			0.328910
$439$	2.81237	+	9.57804i	0.134227	+	0.457135i	0.998985	−	0.0450545i	$-0.0143462\pi$
$439$	2.81237	+	9.57804i	0.134227	+	0.457135i	−0.864758	+	0.502190i	$0.832528\pi$
$440$	2.18338	−	1.89191i	0.104088	−	0.0901932i
$441$	6.12294	+	14.8619i	0.291569	+	0.707708i
$442$	−1.01070	+	0.145317i	−0.0480742	+	0.00691203i
$443$	−31.5257	−	20.2603i	−1.49783	−	0.962598i	−0.995175	−	0.0981118i	$-0.968720\pi$
$443$	−31.5257	−	20.2603i	−1.49783	−	0.962598i	−0.502656	−	0.864486i	$-0.667644\pi$
$444$	−3.02369	+	6.62096i	−0.143498	+	0.314217i
$445$	−0.407443	+	0.470214i	−0.0193147	+	0.0222903i
$446$	−24.9897	−	3.59298i	−1.18330	−	0.170132i
$447$	−2.39096	−	5.23548i	−0.113089	−	0.247630i
$448$	2.42690	−	1.05365i	0.114660	−	0.0497802i
$449$	−28.6560	−	8.41416i	−1.35236	−	0.397089i	−0.476297	−	0.879285i	$-0.658021\pi$
$449$	−28.6560	−	8.41416i	−1.35236	−	0.397089i	−0.876063	+	0.482196i	$0.839839\pi$
$450$	−3.01416	−	6.60010i	−0.142089	−	0.311131i
$451$	0.242136	−	1.68409i	0.0114017	−	0.0793009i
$452$	5.48854	+	4.75585i	0.258159	+	0.223696i
$453$	6.56198	+	2.99676i	0.308309	+	0.140800i
$454$	20.3664	+	13.0887i	0.955844	+	0.614283i
$455$	−17.3483	+	19.2765i	−0.813299	+	0.903697i
$456$	3.16784	+	4.92925i	0.148348	+	0.230833i
$457$	11.0602	−	9.58373i	0.517375	−	0.448308i	−0.356615	−	0.934251i	$-0.616069\pi$
$457$	11.0602	−	9.58373i	0.517375	−	0.448308i	0.873990	+	0.485943i	$0.161524\pi$
$458$	7.00211	−	2.05601i	0.327187	−	0.0960709i
$459$		−	0.481945i		−	0.0224953i
$460$	−13.6959	−	0.313162i	−0.638576	−	0.0146012i
$461$			8.32732i			0.387842i	0.981017	+	0.193921i	$0.0621205\pi$
$461$			8.32732i			0.387842i	−0.981017	+	0.193921i	$0.937879\pi$
$462$	−3.42609	+	5.11698i	−0.159396	+	0.238064i
$463$	16.9260	+	19.5337i	0.786619	+	0.907807i	0.997569	−	0.0696898i	$-0.0222009\pi$
$463$	16.9260	+	19.5337i	0.786619	+	0.907807i	−0.210949	+	0.977497i	$0.567655\pi$
$464$	−4.42692	+	2.84501i	−0.205514	+	0.132076i
$465$	5.62247	+	39.1051i	0.260736	+	1.81346i
$466$	20.3083	+	13.0513i	0.940763	+	0.604592i
$467$	−6.27693	+	13.7446i	−0.290462	+	0.636022i	−0.997463	−	0.0711902i	$-0.977320\pi$
$467$	−6.27693	+	13.7446i	−0.290462	+	0.636022i	0.707001	+	0.707212i	$0.250048\pi$
$468$	−5.95481	−	5.15988i	−0.275261	−	0.238515i
$469$	−34.3376	+	21.1661i	−1.58556	+	0.977359i
$470$	19.6736	−	8.98461i	0.907474	−	0.414429i
$471$	4.27149	−	14.5474i	0.196820	−	0.670307i
$472$	−2.05021	+	6.98236i	−0.0943684	+	0.321389i
$473$	4.85782	+	10.6371i	0.223363	+	0.489096i
$474$	−5.47994	+	38.1138i	−0.251702	+	1.75063i
$475$	5.26847	−	6.08013i	0.241734	−	0.278976i
$476$	0.207570	+	0.759452i	0.00951396	+	0.0348094i
$477$	10.9036	−	16.9664i	0.499243	−	0.776837i
$478$	−1.89543	−	13.1830i	−0.0866948	−	0.602976i
$479$	−5.42687	+	3.48764i	−0.247960	+	0.159354i	−0.658717	−	0.752390i	$-0.728901\pi$
$479$	−5.42687	+	3.48764i	−0.247960	+	0.159354i	0.410757	+	0.911745i	$0.365264\pi$
$480$	4.96825	−	4.30501i	0.226768	−	0.196496i
$481$	10.4132	−	3.05759i	0.474801	−	0.139414i
$482$	−7.69298			−0.350406
$483$	28.3364	−	7.05280i	1.28935	−	0.320914i
$484$	9.97713			0.453506
$485$	48.0458	−	14.1075i	2.18165	−	0.640590i
$486$	14.7919	−	12.8172i	0.670973	−	0.581401i
$487$	−32.7933	+	21.0750i	−1.48601	+	0.954998i	−0.489454	+	0.872029i	$0.662804\pi$
$487$	−32.7933	+	21.0750i	−1.48601	+	0.954998i	−0.996552	+	0.0829696i	$0.973560\pi$
$488$	1.42973	+	9.94401i	0.0647210	+	0.450144i
$489$	−8.69890	+	13.5357i	−0.393378	+	0.612108i
$490$	16.4033	+	11.4352i	0.741025	+	0.516591i
$491$	13.6243	−	15.7233i	0.614857	−	0.709583i	−0.359865	−	0.933005i	$-0.617177\pi$
$491$	13.6243	−	15.7233i	0.614857	−	0.709583i	0.974722	+	0.223421i	$0.0717226\pi$
$492$	0.550977	−	3.83213i	0.0248400	−	0.172766i
$493$	−0.650506	−	1.42441i	−0.0292973	−	0.0641522i
$494$	2.46138	−	8.38268i	0.110743	−	0.377155i
$495$	−1.86899	+	6.36520i	−0.0840049	+	0.286094i
$496$	−5.46660	+	2.49651i	−0.245458	+	0.112097i
$497$	−2.86432	−	4.64676i	−0.128482	−	0.208436i
$498$	12.9888	+	11.2548i	0.582041	+	0.504342i
$499$	−6.55634	+	14.3564i	−0.293502	+	0.642679i	−0.997733	−	0.0672909i	$-0.978564\pi$
$499$	−6.55634	+	14.3564i	−0.293502	+	0.642679i	0.704232	+	0.709970i	$0.251292\pi$
$500$	4.42204	+	2.84187i	0.197760	+	0.127092i
$501$	3.90201	+	27.1391i	0.174329	+	1.21248i
$502$	−23.3171	+	14.9850i	−1.04069	+	0.668813i
$503$	−5.04222	−	5.81903i	−0.224822	−	0.259458i	0.632121	−	0.774870i	$-0.282184\pi$
$503$	−5.04222	−	5.81903i	−0.224822	−	0.259458i	−0.856943	+	0.515412i	$0.827639\pi$
$504$	−3.38005	+	5.04822i	−0.150560	+	0.224866i
$505$		−	20.9508i		−	0.932297i
$506$	3.59209	+	3.25928i	0.159688	+	0.144892i
$507$		−	2.82032i		−	0.125255i
$508$	−12.9944	+	3.81551i	−0.576535	+	0.169286i
$509$	−3.19037	+	2.76447i	−0.141411	+	0.122533i	−0.722694	−	0.691168i	$-0.757096\pi$
$509$	−3.19037	+	2.76447i	−0.141411	+	0.122533i	0.581283	+	0.813701i	$0.302551\pi$
$510$	1.05762	+	1.64569i	0.0468321	+	0.0728722i
$511$	−5.29387	+	5.88228i	−0.234187	+	0.260217i
$512$	0.841254	+	0.540641i	0.0371785	+	0.0238932i
$513$	3.75092	+	1.71299i	0.165607	+	0.0756304i
$514$	7.91495	+	6.85834i	0.349113	+	0.302508i
$515$	−0.575800	+	4.00478i	−0.0253728	+	0.176472i
$516$	11.0539	+	24.2047i	0.486621	+	1.06555i
$517$	−7.34731	−	2.15736i	−0.323134	−	0.0948808i
$518$	−3.33248	−	7.67577i	−0.146421	−	0.337254i
$519$	−7.73733	−	16.9424i	−0.339631	−	0.743688i
$520$	−9.70217	−	1.39496i	−0.425468	−	0.0611731i
$521$	−12.6322	+	14.5783i	−0.553426	+	0.638687i	−0.961678	−	0.274182i	$-0.911593\pi$
$521$	−12.6322	+	14.5783i	−0.553426	+	0.638687i	0.408252	+	0.912869i	$0.366138\pi$
$522$	5.01968	−	10.9916i	0.219705	−	0.481087i
$523$	−7.47299	−	4.80260i	−0.326771	−	0.210003i	0.366961	−	0.930236i	$-0.380398\pi$
$523$	−7.47299	−	4.80260i	−0.326771	−	0.210003i	−0.693732	+	0.720234i	$0.744035\pi$
$524$	6.00769	−	0.863776i	0.262447	−	0.0377342i
$525$	18.3552	+	5.76652i	0.801087	+	0.251672i
$526$	−6.78109	+	5.87585i	−0.295670	+	0.256199i
$527$	−0.503830	−	1.71589i	−0.0219472	−	0.0747452i
$528$	−2.32753			−0.101293
$529$	−2.22927	−	22.8917i	−0.0969246	−	0.995292i
$530$		−	25.0890i		−	1.08980i
$531$	−4.70778	−	16.0332i	−0.204300	−	0.695783i
$532$	−6.64849	−	1.08384i	−0.288249	−	0.0469905i
$533$	−4.85621	+	3.12090i	−0.210346	+	0.135181i
$534$	0.496156	−	0.0713365i	0.0214708	−	0.00308703i
$535$	4.68404	−	7.28851i	0.202509	−	0.315110i
$536$	−13.8682	−	6.33340i	−0.599015	−	0.273561i
$537$	26.6797	+	23.1181i	1.15131	+	0.997620i
$538$	−3.39072	−	0.487512i	−0.146184	−	0.0210181i
$539$	−1.73780	−	6.86299i	−0.0748523	−	0.295610i
$540$	1.30341	−	4.43900i	0.0560898	−	0.191024i
$541$	−6.84440	−	2.00970i	−0.294264	−	0.0864036i	0.131269	−	0.991347i	$-0.458095\pi$
$541$	−6.84440	−	2.00970i	−0.294264	−	0.0864036i	−0.425532	+	0.904943i	$0.639913\pi$
$542$	−28.8895	+	13.1934i	−1.24091	+	0.566705i
$543$	−36.1367	−	5.19567i	−1.55077	−	0.222967i
$544$	−0.194870	+	0.224891i	−0.00835496	+	0.00964214i
$545$	34.4227	+	15.7203i	1.47451	+	0.673385i
$546$	20.7328	−	2.58412i	0.887280	−	0.110590i
$547$	1.65674	+	11.5229i	0.0708371	+	0.492683i	0.994096	+	0.108504i	$0.0346062\pi$
$547$	1.65674	+	11.5229i	0.0708371	+	0.492683i	−0.923259	+	0.384178i	$0.874485\pi$
$548$	10.9687	+	17.0677i	0.468561	+	0.729096i
$549$	−15.1068	−	17.4342i	−0.644743	−	0.744073i
$550$	0.900353	+	3.06632i	0.0383912	+	0.130748i
$551$	13.3981			0.570779
$552$	8.17375	+	7.41643i	0.347898	+	0.315664i
$553$	−28.3554	−	33.9946i	−1.20579	−	1.44560i
$554$	10.6640	−	3.13123i	0.453069	−	0.133033i
$555$	−13.6159	−	15.7135i	−0.577961	−	0.667002i
$556$	8.75911	+	13.6294i	0.371469	+	0.578017i
$557$	24.8429	−	3.57187i	1.05263	−	0.151345i	0.405786	−	0.913968i	$-0.366998\pi$
$557$	24.8429	−	3.57187i	1.05263	−	0.151345i	0.646843	+	0.762623i	$0.276089\pi$
$558$	7.46071	−	11.6091i	0.315837	−	0.491452i
$559$	16.4817	−	36.0899i	0.697102	−	1.52644i
$560$	−0.142073	+	7.55637i	−0.00600368	+	0.319315i
$561$	0.0985688	−	0.685561i	0.00416158	−	0.0289444i
$562$	−13.6876	+	6.25093i	−0.577378	+	0.263680i
$563$	38.8211	+	11.3989i	1.63611	+	0.480407i	0.965284	−	0.261204i	$-0.0841194\pi$
$563$	38.8211	+	11.3989i	1.63611	+	0.480407i	0.670831	+	0.741610i	$0.265938\pi$
$564$	−16.7187	−	4.90905i	−0.703984	−	0.206708i
$565$	−18.8706	+	8.61792i	−0.793892	+	0.362558i
$566$	−2.45625	+	17.0836i	−0.103244	+	0.718078i
$567$	−0.527996	+	28.0823i	−0.0221738	+	1.17935i
$568$	0.857072	−	1.87673i	0.0359620	−	0.0787457i
$569$	16.1917	−	25.1948i	0.678792	−	1.05622i	−0.315437	−	0.948946i	$-0.602151\pi$
$569$	16.1917	−	25.1948i	0.678792	−	1.05622i	0.994229	−	0.107275i	$-0.0342125\pi$
$570$	−16.5673	+	2.38202i	−0.693928	+	0.0997718i
$571$	−5.19017	−	8.07606i	−0.217202	−	0.337973i	0.715505	−	0.698607i	$-0.246197\pi$
$571$	−5.19017	−	8.07606i	−0.217202	−	0.337973i	−0.932707	+	0.360635i	$0.882560\pi$
$572$	2.27264	+	2.62276i	0.0950238	+	0.109663i
$573$	3.07274	−	0.902237i	0.128365	−	0.0376915i
$574$	2.85097	+	3.41797i	0.118997	+	0.142663i
$575$	6.60869	−	13.6371i	0.275601	−	0.568707i
$576$	−2.29625			−0.0956771
$577$	3.97029	+	13.5216i	0.165285	+	0.562910i	0.999927	+	0.0121160i	$0.00385673\pi$
$577$	3.97029	+	13.5216i	0.165285	+	0.562910i	−0.834641	+	0.550794i	$0.814325\pi$
$578$	11.0746	+	12.7808i	0.460644	+	0.531612i
$579$	−24.3350	−	37.8660i	−1.01133	−	1.57366i
$580$	−2.13927	−	14.8789i	−0.0888283	−	0.617814i
$581$	−19.6069	+	2.44379i	−0.813429	+	0.101386i
$582$	−36.6964	−	16.7587i	−1.52111	−	0.694669i
$583$	−5.81704	+	6.71322i	−0.240917	+	0.278033i
$584$	−2.96064	−	0.425676i	−0.122512	−	0.0176146i
$585$	20.4737	−	9.35004i	0.846484	−	0.386577i
$586$	−3.27381	−	0.961278i	−0.135240	−	0.0397100i
$587$	8.87308	−	30.2189i	0.366231	−	1.24727i	−0.546067	−	0.837741i	$-0.683876\pi$
$587$	8.87308	−	30.2189i	0.366231	−	1.24727i	0.912298	−	0.409527i	$-0.134306\pi$
$588$	−3.95433	−	15.6166i	−0.163074	−	0.644019i
$589$	15.1453	+	2.17757i	0.624052	+	0.0897252i
$590$	−15.7101	−	13.6129i	−0.646775	−	0.560434i
$591$	−21.1721	−	9.66895i	−0.870902	−	0.397728i
$592$	1.70994	−	2.66071i	0.0702779	−	0.109355i
$593$	−2.51006	+	0.360891i	−0.103076	+	0.0148200i	−0.193660	−	0.981069i	$-0.562036\pi$
$593$	−2.51006	+	0.360891i	−0.103076	+	0.0148200i	0.0905840	+	0.995889i	$0.471127\pi$
$594$	−1.37797	+	0.885568i	−0.0565388	+	0.0363353i
$595$	−2.21968	−	0.361853i	−0.0909978	−	0.0148345i
$596$	0.704601	+	2.39965i	0.0288616	+	0.0982935i
$597$		−	33.8364i		−	1.38483i
$598$	0.376183	−	16.4521i	0.0153833	−	0.672777i
$599$	46.2953			1.89157			0.945786	−	0.324789i	$-0.105293\pi$
$599$	46.2953			1.89157			0.945786	+	0.324789i	$0.105293\pi$
$600$	2.04874	+	6.97736i	0.0836394	+	0.284850i
$601$	14.8926	−	12.9045i	0.607483	−	0.526387i	−0.295901	−	0.955218i	$-0.595620\pi$
$601$	14.8926	−	12.9045i	0.607483	−	0.526387i	0.903385	+	0.428831i	$0.141075\pi$
$602$	−29.1849	−	9.16882i	−1.18949	−	0.373693i
$603$	34.6522	−	4.98223i	1.41115	−	0.202892i
$604$	−2.63701	−	1.69470i	−0.107298	−	0.0689565i
$605$	−11.8394	+	25.9246i	−0.481339	+	1.05399i
$606$	−11.0533	+	12.7562i	−0.449010	+	0.518185i
$607$	33.2251	+	4.77705i	1.34857	+	0.193895i	0.778469	−	0.627683i	$-0.215996\pi$
$607$	33.2251	+	4.77705i	1.34857	+	0.193895i	0.570097	+	0.821577i	$0.306905\pi$
$608$	−1.05767	−	2.31598i	−0.0428944	−	0.0939255i
$609$	12.7601	+	29.3907i	0.517066	+	1.19097i
$610$	−27.5351	−	8.08505i	−1.11487	−	0.327354i
$611$	10.7927	+	23.6327i	0.436626	+	0.956076i
$612$	0.0972443	−	0.676349i	0.00393087	−	0.0273398i
$613$	12.3095	+	10.6662i	0.497174	+	0.430804i	0.867008	−	0.498294i	$-0.166040\pi$
$613$	12.3095	+	10.6662i	0.497174	+	0.430804i	−0.369834	+	0.929098i	$0.620585\pi$
$614$	−10.6269	−	4.85316i	−0.428868	−	0.195858i
$615$	9.30360	+	5.97906i	0.375157	+	0.241099i
$616$	1.79000	−	1.98896i	0.0721213	−	0.0801376i
$617$	10.2216	+	15.9052i	0.411508	+	0.640319i	0.983703	−	0.179799i	$-0.0575446\pi$
$617$	10.2216	+	15.9052i	0.411508	+	0.640319i	−0.572196	+	0.820117i	$0.693908\pi$
$618$	2.46345	−	2.13459i	0.0990943	−	0.0858657i
$619$	−38.7462	+	11.3769i	−1.55734	+	0.457276i	−0.943284	−	0.331987i	$-0.892281\pi$
$619$	−38.7462	+	11.3769i	−1.55734	+	0.457276i	−0.614056	+	0.789263i	$0.710463\pi$
$620$		−	17.1669i		−	0.689441i
$621$	7.66090	+	1.28085i	0.307421	+	0.0513988i
$622$			16.8647i			0.676213i
$623$	−0.320613	+	0.478847i	−0.0128451	+	0.0191846i
$624$	5.17136	+	5.96806i	0.207020	+	0.238914i
$625$	−25.9229	+	16.6596i	−1.03692	+	0.666385i
$626$	0.785424	+	5.46274i	0.0313918	+	0.218335i
$627$	4.98530	+	3.20386i	0.199094	+	0.127950i
$628$	−2.73678	+	5.99272i	−0.109210	+	0.239136i
$629$	0.711285	+	0.616332i	0.0283608	+	0.0245748i
$630$	−9.10638	−	14.7732i	−0.362807	−	0.588579i
$631$	26.4215	−	12.0663i	1.05182	−	0.480351i	0.186964	−	0.982367i	$-0.440135\pi$
$631$	26.4215	−	12.0663i	1.05182	−	0.480351i	0.864858	+	0.502016i	$0.167408\pi$
$632$	4.71388	−	16.0540i	0.187508	−	0.638594i
$633$	−7.53651	+	25.6670i	−0.299549	+	1.02017i
$634$	−5.86226	−	12.8366i	−0.232820	−	0.509805i
$635$	5.50563	−	38.2925i	0.218484	−	1.51959i
$636$	−13.2366	+	15.2758i	−0.524865	+	0.605726i
$637$	−13.7365	+	19.7043i	−0.544259	+	0.780713i
$638$	−2.87735	+	4.47725i	−0.113916	+	0.177256i
$639$	0.674225	+	4.68934i	0.0266719	+	0.185507i
$640$	−2.40308	+	1.54436i	−0.0949900	+	0.0610464i
$641$	21.0452	−	18.2358i	0.831237	−	0.720271i	−0.131323	−	0.991340i	$-0.541923\pi$
$641$	21.0452	−	18.2358i	0.831237	−	0.720271i	0.962560	+	0.271069i	$0.0873771\pi$
$642$	−6.69726	+	1.96649i	−0.264320	+	0.0776112i
$643$	3.81736			0.150542			0.0752710	−	0.997163i	$-0.476018\pi$
$643$	3.81736			0.150542			0.0752710	+	0.997163i	$0.476018\pi$
$644$	−12.6237	+	1.28112i	−0.497445	+	0.0504832i
$645$	−76.0106			−2.99291
$646$	0.726954	−	0.213453i	0.0286016	−	0.00839819i
$647$	−36.3263	+	31.4769i	−1.42813	+	1.23749i	−0.499590	+	0.866262i	$0.666516\pi$
$647$	−36.3263	+	31.4769i	−1.42813	+	1.23749i	−0.928544	+	0.371223i	$0.878938\pi$
$648$	−8.93074	+	5.73944i	−0.350832	+	0.225466i
$649$	1.04742	+	7.28496i	0.0411148	+	0.285960i
$650$	5.86200	−	9.12144i	0.229926	−	0.357772i
$651$	9.64731	+	35.2973i	0.378108	+	1.38341i
$652$	4.57847	−	5.28383i	0.179307	−	0.206931i
$653$	−4.86423	+	33.8315i	−0.190352	+	1.32393i	0.640725	+	0.767770i	$0.278634\pi$
$653$	−4.86423	+	33.8315i	−0.190352	+	1.32393i	−0.831077	+	0.556157i	$0.812275\pi$
$654$	−12.6650	−	27.7325i	−0.495240	−	1.08443i
$655$	−4.88460	+	16.6354i	−0.190857	+	0.649999i
$656$	−0.473954	+	1.61414i	−0.0185048	+	0.0630215i
$657$	6.24762	−	2.85319i	0.243743	−	0.111314i
$658$	17.0526	−	10.5114i	0.664781	−	0.409778i
$659$	3.56702	+	3.09084i	0.138951	+	0.120402i	0.721563	−	0.692348i	$-0.243424\pi$
$659$	3.56702	+	3.09084i	0.138951	+	0.120402i	−0.582612	+	0.812750i	$0.697969\pi$
$660$	2.76196	−	6.04785i	0.107509	−	0.235412i
$661$	1.71395	+	1.10149i	0.0666651	+	0.0428431i	0.573549	−	0.819171i	$-0.305566\pi$
$661$	1.71395	+	1.10149i	0.0666651	+	0.0428431i	−0.506884	+	0.862014i	$0.669203\pi$
$662$	4.15353	+	28.8884i	0.161432	+	1.12278i
$663$	−1.97687	+	1.27046i	−0.0767751	+	0.0493404i
$664$	−4.89052	−	5.64396i	−0.189789	−	0.219028i
$665$	10.7057	−	15.9893i	0.415149	−	0.620040i
$666$			7.26256i			0.281419i
$667$	24.3710	−	6.55470i	0.943647	−	0.253799i
$668$		−	11.9139i		−	0.460963i
$669$	−55.7481	+	16.3691i	−2.15535	+	0.632867i
$670$	32.9135	−	28.5197i	1.27156	−	1.10181i
$671$	5.49318	+	8.54755i	0.212062	+	0.329975i
$672$	4.07313	−	4.52586i	0.157124	−	0.174589i
$673$	11.3437	+	7.29014i	0.437267	+	0.281014i	0.740697	−	0.671840i	$-0.234496\pi$
$673$	11.3437	+	7.29014i	0.437267	+	0.281014i	−0.303430	+	0.952854i	$0.598132\pi$
$674$	−5.59418	−	2.55477i	−0.215480	−	0.0984062i
$675$	3.86764	+	3.35133i	0.148866	+	0.128993i
$676$	−0.174407	+	1.21303i	−0.00670796	+	0.0466549i
$677$	−9.78493	−	21.4260i	−0.376065	−	0.823468i	−0.999146	−	0.0413110i	$-0.986847\pi$
$677$	−9.78493	−	21.4260i	−0.376065	−	0.823468i	0.623081	−	0.782157i	$-0.285881\pi$
$678$	16.0363	+	4.70869i	0.615872	+	0.180836i
$679$	42.5426	−	18.4701i	1.63264	−	0.708817i
$680$	−0.353117	−	0.773218i	−0.0135414	−	0.0296515i
$681$	55.1479	+	7.92907i	2.11327	+	0.303843i
$682$	−3.98026	+	4.59346i	−0.152412	+	0.175893i
$683$	20.2036	−	44.2396i	0.773068	−	1.69278i	0.0532891	−	0.998579i	$-0.483030\pi$
$683$	20.2036	−	44.2396i	0.773068	−	1.69278i	0.719779	−	0.694203i	$-0.244243\pi$
$684$	4.91831	+	3.16081i	0.188056	+	0.120856i
$685$	−57.3648	+	8.24782i	−2.19180	+	0.315133i
$686$	16.3862	+	8.63098i	0.625626	+	0.329532i
$687$	12.6926	−	10.9982i	0.484252	−	0.419607i
$688$	−3.25751	−	11.0941i	−0.124191	−	0.422957i
$689$	30.1380			1.14817
$690$	−28.9703	+	12.4380i	−1.10288	+	0.473506i
$691$		−	26.1492i		−	0.994761i	−0.867532	−	0.497381i	$-0.834295\pi$
$691$		−	26.1492i		−	0.994761i	0.867532	−	0.497381i	$-0.165705\pi$
$692$	2.28014	+	7.76545i	0.0866780	+	0.295198i
$693$	−0.988612	+	6.06433i	−0.0375542	+	0.230365i
$694$	−13.0556	+	8.39031i	−0.495583	+	0.318492i
$695$	−45.8088	+	6.58631i	−1.73763	+	0.249833i
$696$	−6.54738	+	10.1879i	−0.248178	+	0.386172i
$697$	−0.455365	−	0.207958i	−0.0172482	−	0.00787698i
$698$	−13.1399	−	11.3858i	−0.497352	−	0.430958i
$699$	54.9905	+	7.90644i	2.07993	+	0.299049i
$700$	−7.53804	−	3.61528i	−0.284911	−	0.136645i
$701$	−4.16144	+	14.1726i	−0.157175	+	0.535290i	−0.999996	−	0.00290491i	$-0.999075\pi$
$701$	−4.16144	+	14.1726i	−0.157175	+	0.535290i	0.842820	+	0.538195i	$0.180894\pi$
$702$	5.33232	+	1.56571i	0.201255	+	0.0590939i
$703$	−7.32498	+	3.34521i	−0.276267	+	0.126167i
$704$	1.00108	+	0.143933i	0.0377295	+	0.00542468i
$705$	32.5950	−	37.6166i	1.22760	−	1.41672i
$706$	17.9582	+	8.20121i	0.675864	+	0.308657i
$707$	−2.40003	−	19.2558i	−0.0902624	−	0.724187i
$708$	2.38339	+	16.5768i	0.0895732	+	0.622995i
$709$	4.23987	+	6.59737i	0.159232	+	0.247769i	0.911698	−	0.410862i	$-0.134772\pi$
$709$	4.23987	+	6.59737i	0.159232	+	0.247769i	−0.752466	+	0.658631i	$0.771136\pi$
$710$	3.85945	+	4.45404i	0.144842	+	0.167157i
$711$	10.8242	+	36.8640i	0.405941	+	1.38251i
$712$	−0.217810			−0.00816276
$713$	28.6144	−	3.44851i	1.07162	−	0.129148i
$714$	1.16058	+	1.39139i	0.0434334	+	0.0520713i
$715$	−9.51183	+	2.79293i	−0.355722	+	0.104449i
$716$	−10.0454	−	11.5930i	−0.375415	−	0.433252i
$717$	−16.5710	−	25.7850i	−0.618857	−	0.962960i
$718$	17.2199	−	2.47585i	0.642640	−	0.0923977i
$719$	3.56664	−	5.54980i	0.133013	−	0.206973i	−0.768357	−	0.640021i	$-0.778926\pi$
$719$	3.56664	−	5.54980i	0.133013	−	0.206973i	0.901371	+	0.433048i	$0.142562\pi$
$720$	2.72485	−	5.96658i	0.101549	−	0.222361i
$721$	−0.0704452	+	3.74674i	−0.00262352	+	0.139536i
$722$	1.78143	−	12.3901i	0.0662980	−	0.461113i
$723$	−16.1044	+	7.35463i	−0.598929	+	0.273522i
$724$	15.2212	+	4.46935i	0.565691	+	0.166102i
$725$	15.9544	+	4.68465i	0.592533	+	0.173983i
$726$	20.8860	−	9.53832i	0.775153	−	0.354000i
$727$	0.319517	−	2.22229i	0.0118502	−	0.0824201i	−0.983038	−	0.183401i	$-0.941289\pi$
$727$	0.319517	−	2.22229i	0.0118502	−	0.0824201i	0.994888	+	0.100981i	$0.0321983\pi$
$728$	−9.07702	−	0.170664i	−0.336417	−	0.00632523i
$729$	5.48150	−	12.0028i	0.203019	−	0.444549i
$730$	4.61933	−	7.18782i	0.170969	−	0.266033i
$731$	3.40566	−	0.489659i	0.125963	−	0.0181107i
$732$	12.4996	+	19.4498i	0.462000	+	0.718886i
$733$	8.27622	+	9.55127i	0.305689	+	0.352784i	0.887721	−	0.460382i	$-0.152288\pi$
$733$	8.27622	+	9.55127i	0.305689	+	0.352784i	−0.582032	+	0.813166i	$0.697742\pi$
$734$	−27.2454	+	7.99998i	−1.00565	+	0.295284i
$735$	45.2708	+	8.25655i	1.66984	+	0.304547i
$736$	−3.05693	−	3.69529i	−0.112680	−	0.136210i
$737$	−15.4193			−0.567977
$738$	−1.08832	−	3.70647i	−0.0400615	−	0.136437i
$739$	−12.9573	−	14.9536i	−0.476643	−	0.550075i	0.465604	−	0.884993i	$-0.345837\pi$
$739$	−12.9573	−	14.9536i	−0.476643	−	0.550075i	−0.942247	+	0.334918i	$0.891292\pi$
$740$	4.88451	+	7.60044i	0.179558	+	0.279398i
$741$	−2.86138	−	19.9013i	−0.105115	−	0.731094i
$742$	−2.87409	−	23.0592i	−0.105511	−	0.846530i
$743$	33.1441	+	15.1364i	1.21594	+	0.555300i	0.916967	−	0.398962i	$-0.130630\pi$
$743$	33.1441	+	15.1364i	1.21594	+	0.555300i	0.298970	+	0.954262i	$0.403357\pi$
$744$	−9.05702	+	10.4524i	−0.332046	+	0.383202i
$745$	−7.07138	−	1.01671i	−0.259075	−	0.0372494i
$746$	11.0237	−	5.03434i	0.403605	−	0.184320i
$747$	16.4538	+	4.83128i	0.602015	+	0.176767i
$748$	−0.0847895	+	0.288767i	−0.00310021	+	0.0105584i
$749$	3.47014	−	7.23542i	0.126796	−	0.264376i
$750$	11.9739	+	1.72159i	0.437226	+	0.0628637i
$751$	−10.3281	−	8.94935i	−0.376878	−	0.326566i	0.445739	−	0.895163i	$-0.352941\pi$
$751$	−10.3281	−	8.94935i	−0.376878	−	0.326566i	−0.822616	+	0.568597i	$0.807486\pi$
$752$	6.88719	+	3.14527i	0.251150	+	0.114696i
$753$	−34.4858	+	53.6610i	−1.25673	+	1.95552i
$754$	17.8732	−	2.56978i	0.650904	−	0.0935858i
$755$	7.53274	−	4.84100i	0.274144	−	0.176182i
$756$	0.689444	−	4.22918i	0.0250748	−	0.153814i
$757$	−5.20409	−	17.7235i	−0.189146	−	0.644172i	−0.998391	−	0.0567008i	$-0.981942\pi$
$757$	−5.20409	−	17.7235i	−0.189146	−	0.644172i	0.809245	−	0.587471i	$-0.199876\pi$
$758$		−	19.0948i		−	0.693553i
$759$	10.6356	+	3.38882i	0.386047	+	0.123007i
$760$	7.27295			0.263818
$761$	−9.65131	−	32.8693i	−0.349860	−	1.19151i	−0.927061	−	0.374911i	$-0.877673\pi$
$761$	−9.65131	−	32.8693i	−0.349860	−	1.19151i	0.577201	−	0.816602i	$-0.304145\pi$
$762$	−23.5547	+	20.4103i	−0.853298	+	0.739386i
$763$	33.4386	+	10.5052i	1.21056	+	0.380313i
$764$	−1.37739	+	0.198039i	−0.0498322	+	0.00716478i
$765$	1.64203	+	1.05527i	0.0593678	+	0.0381534i
$766$	−8.51498	+	18.6452i	−0.307659	+	0.673679i
$767$	16.3524	−	18.8716i	0.590450	−	0.681415i
$768$	2.27793	+	0.327517i	0.0821979	+	0.0118183i
$769$	−9.20595	−	20.1582i	−0.331975	−	0.726924i	0.667874	−	0.744274i	$-0.267204\pi$
$769$	−9.20595	−	20.1582i	−0.331975	−	0.726924i	−0.999849	+	0.0173501i	$0.994477\pi$
$770$	3.04402	+	7.01136i	0.109699	+	0.252672i
$771$	23.1258	+	6.79034i	0.832854	+	0.244548i
$772$	8.12495	+	17.7912i	0.292424	+	0.640318i
$773$	7.20989	−	50.1459i	0.259322	−	1.80362i	−0.278363	−	0.960476i	$-0.589792\pi$
$773$	7.20989	−	50.1459i	0.259322	−	1.80362i	0.537685	−	0.843146i	$-0.319299\pi$
$774$	20.0653	+	17.3867i	0.721233	+	0.624952i
$775$	17.2736	+	7.88859i	0.620486	+	0.283367i
$776$	14.7469	+	9.47724i	0.529382	+	0.340213i
$777$	−14.3143	−	12.8825i	−0.513524	−	0.462156i
$778$	9.32917	+	14.5165i	0.334467	+	0.520441i
$779$	3.23703	−	2.80490i	0.115979	−	0.100496i
$780$	−21.6440	+	6.35526i	−0.774981	+	0.227555i
$781$		−	2.08663i		−	0.0746655i
$782$	1.21789	−	0.743911i	0.0435516	−	0.0266022i
$783$			8.52270i			0.304576i
$784$	0.735047	+	6.96130i	0.0262517	+	0.248618i
$785$	−12.3239	−	14.2225i	−0.439859	−	0.507624i
$786$	11.7506	−	7.55168i	0.419132	−	0.269360i
$787$	3.35372	+	23.3257i	0.119547	+	0.831470i	0.958056	+	0.286581i	$0.0925189\pi$
$787$	3.35372	+	23.3257i	0.119547	+	0.831470i	−0.838509	+	0.544888i	$0.816572\pi$
$788$	8.50824	+	5.46792i	0.303094	+	0.194786i
$789$	−8.57804	+	18.7833i	−0.305386	+	0.668703i
$790$	36.1210	+	31.2991i	1.28513	+	1.11357i
$791$	−16.3567	+	10.0824i	−0.581576	+	0.358490i
$792$	−2.11249	+	0.964743i	−0.0750641	+	0.0342806i
$793$	9.71209	−	33.0764i	0.344887	−	1.17458i
$794$	9.20023	−	31.3331i	0.326504	−	1.11197i
$795$	−23.9856	−	52.5211i	−0.850681	−	1.86273i
$796$	−2.09242	+	14.5531i	−0.0741640	+	0.515822i
$797$	0.813137	−	0.938410i	0.0288028	−	0.0332402i	−0.741165	−	0.671322i	$-0.765727\pi$
$797$	0.813137	−	0.938410i	0.0288028	−	0.0332402i	0.769968	+	0.638082i	$0.220272\pi$
$798$	−14.9541	+	4.08718i	−0.529368	+	0.144685i
$799$	−1.21809	+	1.89539i	−0.0430930	+	0.0670540i
$800$	−0.449692	−	3.12768i	−0.0158990	−	0.110580i
$801$	0.420749	−	0.270399i	0.0148664	−	0.00955408i
$802$	1.07709	−	0.933305i	0.0380334	−	0.0329561i
$803$	−2.90256	+	0.852269i	−0.102429	+	0.0300759i
$804$	−35.0864			−1.23740
$805$	11.6511	−	34.3218i	0.410647	−	1.20968i
$806$	20.6216			0.726366
$807$	−7.56417	+	2.22104i	−0.266271	+	0.0781843i
$808$	5.54290	−	4.80295i	0.194998	−	0.168967i
$809$	−15.4964	+	9.95895i	−0.544825	+	0.350138i	−0.783923	−	0.620857i	$-0.786785\pi$
$809$	−15.4964	+	9.95895i	−0.544825	+	0.350138i	0.239098	+	0.970995i	$0.423148\pi$
$810$	−4.31570	−	30.0164i	−0.151638	−	1.05467i
$811$	−2.38841	+	3.71644i	−0.0838684	+	0.130502i	−0.880653	−	0.473761i	$-0.842896\pi$
$811$	−2.38841	+	3.71644i	−0.0838684	+	0.130502i	0.796785	+	0.604263i	$0.206532\pi$
$812$	−3.67066	−	13.4301i	−0.128815	−	0.471304i
$813$	−47.8638	+	55.2378i	−1.67866	+	1.93727i
$814$	0.455230	−	3.16620i	0.0159558	−	0.110975i
$815$	8.29648	+	18.1668i	0.290613	+	0.636354i
$816$	−0.192937	+	0.657084i	−0.00675416	+	0.0230026i
$817$	−8.29384	+	28.2462i	−0.290165	+	0.988211i
$818$	−31.7972	+	14.5213i	−1.11176	+	0.507726i
$819$	17.7462	−	10.9390i	0.620103	−	0.382238i
$820$	−3.63177	−	3.14694i	−0.126827	−	0.109896i
$821$	6.13681	−	13.4377i	0.214176	−	0.468981i	−0.771800	−	0.635865i	$-0.780643\pi$
$821$	6.13681	−	13.4377i	0.214176	−	0.468981i	0.985976	+	0.166885i	$0.0533707\pi$
$822$	39.2789	+	25.2430i	1.37001	+	0.880451i
$823$	−2.49863	−	17.3783i	−0.0870967	−	0.605771i	−0.985890	−	0.167397i	$-0.946464\pi$
$823$	−2.49863	−	17.3783i	−0.0870967	−	0.605771i	0.898793	−	0.438373i	$-0.144445\pi$
$824$	−1.19154	+	0.765755i	−0.0415092	+	0.0266763i
$825$	4.81625	+	5.55825i	0.167680	+	0.193513i
$826$	−15.9985	−	10.7119i	−0.556660	−	0.372713i
$827$		−	1.28212i		−	0.0445836i	−0.999752	−	0.0222918i	$-0.992904\pi$
$827$		−	1.28212i		−	0.0445836i	0.999752	−	0.0222918i	$-0.00709629\pi$
$828$	10.4927	+	3.34329i	0.364645	+	0.116187i
$829$			26.4209i			0.917636i	0.888530	+	0.458818i	$0.151727\pi$
$829$			26.4209i			0.917636i	−0.888530	+	0.458818i	$0.848273\pi$
$830$	20.4686	−	6.01014i	0.710477	−	0.208615i
$831$	19.3303	−	16.7498i	0.670562	−	0.581045i
$832$	−1.85515	−	2.88668i	−0.0643159	−	0.100078i
$833$	−2.08155	−	0.0783011i	−0.0721213	−	0.00271297i
$834$	31.3662	+	20.1579i	1.08612	+	0.698010i
$835$	30.9571	+	14.1376i	1.07132	+	0.489253i
$836$	−1.94607	−	1.68628i	−0.0673062	−	0.0583211i
$837$	−1.38518	+	9.63411i	−0.0478787	+	0.333004i
$838$	12.3505	+	27.0439i	0.426641	+	0.934215i
$839$	−45.4720	−	13.3518i	−1.56987	−	0.460955i	−0.622906	−	0.782297i	$-0.714048\pi$
$839$	−45.4720	−	13.3518i	−1.56987	−	0.460955i	−0.946963	+	0.321342i	$0.895866\pi$
$840$	6.92662	+	15.9542i	0.238991	+	0.550474i
$841$	−0.543512	−	1.19013i	−0.0187418	−	0.0410388i
$842$	4.91709	+	0.706970i	0.169454	+	0.0243638i
$843$	−22.6775	+	26.1713i	−0.781056	+	0.901386i
$844$	4.82871	−	10.5734i	0.166211	−	0.363951i
$845$	−2.94497	−	1.89262i	−0.101310	−	0.0651081i
$846$	−17.2089	+	2.47426i	−0.591653	+	0.0850669i
$847$	−7.91170	+	25.1835i	−0.271849	+	0.865314i
$848$	6.63775	−	5.75164i	0.227941	−	0.197512i
$849$	11.1904	+	38.1109i	0.384052	+	1.30796i
$850$	0.940287			0.0322516
$851$	−11.6874	+	9.66843i	−0.400641	+	0.331430i
$852$		−	4.74810i		−	0.162667i
$853$	−11.8647	−	40.4074i	−0.406239	−	1.38352i	−0.868020	−	0.496529i	$-0.834608\pi$
$853$	−11.8647	−	40.4074i	−0.406239	−	1.38352i	0.461781	−	0.886994i	$-0.347211\pi$
$854$	−26.2336	−	4.27662i	−0.897696	−	0.146343i
$855$	−14.0494	+	9.02898i	−0.480478	+	0.308785i
$856$	3.00212	−	0.431639i	0.102610	−	0.0147531i
$857$	3.17063	−	4.93360i	0.108307	−	0.168529i	−0.782869	−	0.622186i	$-0.786245\pi$
$857$	3.17063	−	4.93360i	0.108307	−	0.168529i	0.891176	+	0.453657i	$0.149881\pi$
$858$	7.26493	+	3.31778i	0.248021	+	0.113267i
$859$	6.31234	+	5.46968i	0.215374	+	0.186623i	0.755866	−	0.654727i	$-0.227216\pi$
$859$	6.31234	+	5.46968i	0.215374	+	0.186623i	−0.540491	+	0.841349i	$0.681762\pi$
$860$	32.6924	+	4.70046i	1.11480	+	0.160284i
$861$	9.23584	+	4.42955i	0.314756	+	0.150959i
$862$	−5.58184	+	19.0100i	−0.190118	+	0.647483i
$863$	10.6910	+	3.13916i	0.363925	+	0.106858i	0.458583	−	0.888652i	$-0.348357\pi$
$863$	10.6910	+	3.13916i	0.363925	+	0.106858i	−0.0946573	+	0.995510i	$0.530176\pi$
$864$	1.47322	−	0.672799i	0.0501201	−	0.0228891i
$865$	−22.8835	−	3.29015i	−0.778062	−	0.111868i
$866$	17.3385	−	20.0097i	0.589187	−	0.679958i
$867$	35.4022	+	16.1677i	1.20232	+	0.549083i
$868$	−1.96657	−	15.7781i	−0.0667498	−	0.535542i
$869$	−2.40825	−	16.7498i	−0.0816943	−	0.568197i
$870$	−18.7029	−	29.1022i	−0.634087	−	0.986658i
$871$	34.2590	+	39.5370i	1.16082	+	1.33966i
$872$	3.73229	+	12.7110i	0.126391	+	0.430449i
$873$	−40.2524			−1.36234
$874$	1.46100	+	12.1228i	0.0494190	+	0.410059i
$875$	−10.6798	+	8.90820i	−0.361044	+	0.301152i
$876$	−6.60474	+	1.93933i	−0.223153	+	0.0655237i
$877$	26.9264	+	31.0748i	0.909241	+	1.04932i	0.998578	+	0.0533183i	$0.0169798\pi$
$877$	26.9264	+	31.0748i	0.909241	+	1.04932i	−0.0893368	+	0.996001i	$0.528475\pi$
$878$	−5.39689	−	8.39773i	−0.182136	−	0.283410i
$879$	−7.77237	+	1.11750i	−0.262155	+	0.0376923i
$880$	−1.56192	+	2.43040i	−0.0526524	+	0.0819288i
$881$	−3.85024	+	8.43085i	−0.129718	+	0.284042i	−0.963336	−	0.268299i	$-0.913538\pi$
$881$	−3.85024	+	8.43085i	−0.129718	+	0.284042i	0.833618	+	0.552342i	$0.186266\pi$
$882$	−10.0620	−	12.5348i	−0.338805	−	0.422069i
$883$	5.51200	−	38.3368i	0.185494	−	1.29014i	−0.658008	−	0.753011i	$-0.728601\pi$
$883$	5.51200	−	38.3368i	0.185494	−	1.29014i	0.843502	−	0.537126i	$-0.180490\pi$
$884$	0.928821	−	0.424178i	0.0312396	−	0.0142667i
$885$	−45.9015	−	13.4779i	−1.54296	−	0.453055i
$886$	35.9567	+	10.5578i	1.20799	+	0.354698i
$887$	−48.3581	+	22.0844i	−1.62371	+	0.741522i	−0.999219	−	0.0395128i	$-0.987419\pi$
$887$	−48.3581	+	22.0844i	−1.62371	+	0.741522i	−0.624488	+	0.781035i	$0.714692\pi$
$888$	1.03587	−	7.20463i	0.0347615	−	0.241772i
$889$	0.673576	−	35.8252i	0.0225910	−	1.20154i
$890$	0.258464	−	0.565957i	0.00866374	−	0.0189709i
$891$	−5.80469	+	9.03228i	−0.194465	+	0.302593i
$892$	24.9897	−	3.59298i	0.836717	−	0.120302i
$893$	−10.4221	−	16.2171i	−0.348762	−	0.542684i
$894$	3.76911	+	4.34979i	0.126058	+	0.145479i
$895$	42.0438	−	12.3452i	1.40537	−	0.412653i
$896$	−2.03174	+	1.69470i	−0.0678757	+	0.0566161i
$897$	−14.9410	−	34.8003i	−0.498866	−	1.16195i
$898$	29.8658			0.996634
$899$	8.90970	+	30.3437i	0.297155	+	1.01202i
$900$	4.75153	+	5.48356i	0.158384	+	0.182785i
$901$	1.41302	+	2.19869i	0.0470744	+	0.0732491i
$902$	0.242136	+	1.68409i	0.00806225	+	0.0560742i
$903$	−69.8610	+	8.70745i	−2.32483	+	0.289766i
$904$	−6.60610	−	3.01690i	−0.219715	−	0.100341i
$905$	−29.6754	+	34.2473i	−0.986444	+	1.13842i
$906$	−7.14046	−	1.02664i	−0.237226	−	0.0341079i
$907$	3.55477	−	1.62341i	0.118034	−	0.0539044i	−0.355523	−	0.934668i	$-0.615697\pi$
$907$	3.55477	−	1.62341i	0.118034	−	0.0539044i	0.473557	+	0.880763i	$0.342970\pi$
$908$	−23.2290	−	6.82064i	−0.770880	−	0.226351i
$909$	−4.74477	+	16.1592i	−0.157374	+	0.535967i
$910$	11.2147	−	23.3833i	0.371764	−	0.775147i
$911$	−46.7975	−	6.72846i	−1.55047	−	0.222924i	−0.686749	−	0.726895i	$-0.740963\pi$
$911$	−46.7975	−	6.72846i	−1.55047	−	0.222924i	−0.863721	+	0.503971i	$0.831872\pi$
$912$	−4.42825	−	3.83710i	−0.146634	−	0.127059i
$913$	−6.87040	−	3.13761i	−0.227377	−	0.103840i
$914$	−7.91215	+	12.3115i	−0.261711	+	0.407230i
$915$	−65.3712	+	9.39896i	−2.16111	+	0.310720i
$916$	−6.13924	+	3.94545i	−0.202846	+	0.130361i
$917$	−2.58373	+	15.8491i	−0.0853223	+	0.523383i
$918$	0.135780	+	0.462423i	0.00448140	+	0.0152622i
$919$		−	26.0689i		−	0.859935i	−0.902844	−	0.429968i	$-0.858525\pi$
$919$		−	26.0689i		−	0.859935i	0.902844	−	0.429968i	$-0.141475\pi$
$920$	13.2294	−	3.55811i	0.436159	−	0.117307i
$921$	−26.8860			−0.885925
$922$	−2.34608	−	7.99000i	−0.0772639	−	0.263137i
$923$	−5.35038	+	4.63613i	−0.176110	+	0.152600i
$924$	1.84569	−	5.87495i	0.0607187	−	0.193272i
$925$	−9.89221	+	1.42228i	−0.325254	+	0.0467644i
$926$	−21.7437	−	13.9738i	−0.714542	−	0.459208i
$927$	1.35108	−	2.95846i	0.0443754	−	0.0971686i
$928$	3.44606	−	3.97697i	0.113123	−	0.130550i
$929$	38.0658	+	5.47303i	1.24890	+	0.179564i	0.734869	−	0.678209i	$-0.237244\pi$
$929$	38.0658	+	5.47303i	1.24890	+	0.179564i	0.514028	+	0.857773i	$0.328153\pi$
$930$	−16.4119	−	35.9371i	−0.538168	−	1.17842i
$931$	8.00790	−	15.9221i	0.262448	−	0.521826i
$932$	−23.1626	−	6.80117i	−0.758718	−	0.222780i
$933$	16.1230	+	35.3044i	0.527842	+	1.15581i
$934$	2.15038	−	14.9562i	0.0703626	−	0.489382i
$935$	−0.649717	−	0.562983i	−0.0212480	−	0.0184115i
$936$	7.16731	+	3.27320i	0.234271	+	0.106988i
$937$	−33.9895	−	21.8437i	−1.11039	−	0.713604i	−0.149011	−	0.988836i	$-0.547609\pi$
$937$	−33.9895	−	21.8437i	−1.11039	−	0.713604i	−0.961378	+	0.275232i	$0.911245\pi$
$938$	26.9835	−	29.9827i	0.881043	−	0.978971i
$939$	6.86668	+	10.6848i	0.224086	+	0.348684i
$940$	−16.3454	+	14.1634i	−0.533128	+	0.461958i
$941$	37.3274	−	10.9603i	1.21684	−	0.357296i	0.390570	−	0.920573i	$-0.372278\pi$
$941$	37.3274	−	10.9603i	1.21684	−	0.357296i	0.826268	+	0.563278i	$0.190460\pi$
$942$			15.1615i			0.493989i
$943$	4.51587	−	6.68571i	0.147057	−	0.217717i
$944$		−	7.27713i		−	0.236851i
$945$	10.1710	+	6.81002i	0.330862	+	0.221530i
$946$	−7.65787	−	8.83765i	−0.248979	−	0.287337i
$947$	10.3594	−	6.65757i	0.336635	−	0.216342i	−0.361392	−	0.932414i	$-0.617698\pi$
$947$	10.3594	−	6.65757i	0.336635	−	0.216342i	0.698026	+	0.716072i	$0.254062\pi$
$948$	−5.47994	−	38.1138i	−0.177980	−	1.23788i
$949$	8.63431	+	5.54893i	0.280282	+	0.180126i
$950$	−3.34208	+	7.31814i	−0.108432	+	0.237432i
$951$	−24.5440	−	21.2675i	−0.795894	−	0.689646i
$952$	−0.413124	−	0.670209i	−0.0133894	−	0.0217216i
$953$	4.25741	−	1.94429i	0.137911	−	0.0629818i	−0.345264	−	0.938506i	$-0.612211\pi$
$953$	4.25741	−	1.94429i	0.137911	−	0.0629818i	0.483175	+	0.875524i	$0.339483\pi$
$954$	−5.68197	+	19.3510i	−0.183961	+	0.626512i
$955$	1.11990	−	3.81401i	0.0362390	−	0.123419i
$956$	5.53272	+	12.1150i	0.178941	+	0.391826i
$957$	−1.74309	+	12.1234i	−0.0563460	+	0.391895i
$958$	4.22447	−	4.87529i	0.136486	−	0.157514i
$959$	−51.7789	+	14.1520i	−1.67203	+	0.456992i
$960$	−3.55414	+	5.53034i	−0.114709	+	0.178491i
$961$	0.728133	+	5.06428i	0.0234882	+	0.163364i
$962$	−9.12996	+	5.86747i	−0.294362	+	0.189175i
$963$	−5.26342	+	4.56078i	−0.169611	+	0.146969i
$964$	7.38136	−	2.16736i	0.237738	−	0.0698061i
$965$	−55.8701			−1.79852
$966$	−25.2016	+	14.7504i	−0.810849	+	0.474587i
$967$	9.43752			0.303490			0.151745	−	0.988420i	$-0.451511\pi$
$967$	9.43752			0.303490			0.151745	+	0.988420i	$0.451511\pi$
$968$	−9.57299	+	2.81088i	−0.307687	+	0.0903452i
$969$	1.31773	−	1.14182i	0.0423316	−	0.0366806i
$970$	−42.1251	+	27.0721i	−1.35255	+	0.869234i
$971$	−5.27761	−	36.7066i	−0.169366	−	1.17797i	−0.880198	−	0.474607i	$-0.842590\pi$
$971$	−5.27761	−	36.7066i	−0.169366	−	1.17797i	0.710831	−	0.703363i	$-0.248319\pi$
$972$	−10.5817	+	16.4654i	−0.339407	+	0.528128i
$973$	−41.3482	+	11.3011i	−1.32556	+	0.362297i
$974$	25.5274	−	29.4602i	0.817952	−	0.943967i
$975$	3.55117	−	24.6989i	0.113728	−	0.790998i
$976$	−4.17337	−	9.13840i	−0.133586	−	0.292513i
$977$	11.3418	−	38.6265i	0.362855	−	1.23577i	−0.552632	−	0.833425i	$-0.686376\pi$
$977$	11.3418	−	38.6265i	0.362855	−	1.23577i	0.915487	−	0.402347i	$-0.131805\pi$
$978$	4.53307	−	15.4382i	0.144952	−	0.493660i
$979$	−0.200379	+	0.0915102i	−0.00640415	+	0.00292468i
$980$	−18.9605	−	6.35069i	−0.605671	−	0.202865i
$981$	−22.9898	−	19.9208i	−0.734008	−	0.636022i
$982$	−8.64268	+	18.9248i	−0.275799	+	0.603915i
$983$	−12.5765	−	8.08244i	−0.401129	−	0.257790i	0.324487	−	0.945890i	$-0.394808\pi$
$983$	−12.5765	−	8.08244i	−0.401129	−	0.257790i	−0.725616	+	0.688100i	$0.758445\pi$
$984$	0.550977	+	3.83213i	0.0175645	+	0.122164i
$985$	−24.3042	+	15.6193i	−0.774395	+	0.497674i
$986$	1.02546	+	1.18344i	0.0326573	+	0.0376885i
$987$	25.6487	−	38.3072i	0.816407	−	1.21933i
$988$			8.73657i			0.277947i
$989$	−1.26758	+	55.4370i	−0.0403068	+	1.76279i
$990$		−	6.63392i		−	0.210840i
$991$	−28.3019	+	8.31018i	−0.899039	+	0.263982i	−0.698420	−	0.715688i	$-0.746113\pi$
$991$	−28.3019	+	8.31018i	−0.899039	+	0.263982i	−0.200618	+	0.979669i	$0.564295\pi$
$992$	4.54182	−	3.93551i	0.144203	−	0.124953i
$993$	36.3128	+	56.5039i	1.15235	+	1.79310i
$994$	4.05744	+	3.65157i	0.128694	+	0.115821i
$995$	−35.3319	−	22.7064i	−1.12010	−	0.719843i
$996$	−15.6335	−	7.13958i	−0.495367	−	0.226226i
$997$	−20.7663	−	17.9941i	−0.657674	−	0.569878i	0.260783	−	0.965397i	$-0.416019\pi$
$997$	−20.7663	−	17.9941i	−0.657674	−	0.569878i	−0.918458	+	0.395519i	$0.870565\pi$
$998$	2.24610	−	15.6220i	0.0710991	−	0.494505i
$999$	−2.12792	−	4.65950i	−0.0673245	−	0.147420i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	322.2.k.a.83.1	✓	80
7.6	odd	2	inner	322.2.k.a.83.8	yes	80
23.5	odd	22	inner	322.2.k.a.97.8	yes	80
161.97	even	22	inner	322.2.k.a.97.1	yes	80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
322.2.k.a.83.1	✓	80	1.1	even	1	trivial
322.2.k.a.83.8	yes	80	7.6	odd	2	inner
322.2.k.a.97.1	yes	80	161.97	even	22	inner
322.2.k.a.97.8	yes	80	23.5	odd	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)

\(f(q)\)	\(=\)	\(q+(-0.959493 + 0.281733i) q^{2} +(-1.73925 + 1.50707i) q^{3} +(0.841254 - 0.540641i) q^{4} +(0.406529 + 2.82747i) q^{5} +(1.24421 - 1.93603i) q^{6} +(0.697541 + 2.55214i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(0.326790 - 2.27288i) q^{9} +O(q^{10})\)	\(q+(-0.959493 + 0.281733i) q^{2} +(-1.73925 + 1.50707i) q^{3} +(0.841254 - 0.540641i) q^{4} +(0.406529 + 2.82747i) q^{5} +(1.24421 - 1.93603i) q^{6} +(0.697541 + 2.55214i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(0.326790 - 2.27288i) q^{9} +(-1.18665 - 2.59840i) q^{10} +(-0.284936 + 0.970403i) q^{11} +(-0.648368 + 2.20814i) q^{12} +(3.12131 - 1.42545i) q^{13} +(-1.38831 - 2.25224i) q^{14} +(-4.96825 - 4.30501i) q^{15} +(0.415415 - 0.909632i) q^{16} +(0.250335 + 0.160881i) q^{17} +(0.326790 + 2.27288i) q^{18} +(-2.14189 + 1.37651i) q^{19} +(1.87064 + 2.15883i) q^{20} +(-5.05946 - 3.38757i) q^{21} -1.01137i q^{22} +(-3.22263 + 3.55171i) q^{23} -2.30136i q^{24} +(-3.03185 + 0.890230i) q^{25} +(-2.59328 + 2.24709i) q^{26} +(-0.875612 - 1.36248i) q^{27} +(1.96660 + 1.76988i) q^{28} +(-4.42692 - 2.84501i) q^{29} +(5.97986 + 2.73091i) q^{30} +(-4.54182 - 3.93551i) q^{31} +(-0.142315 + 0.989821i) q^{32} +(-0.966889 - 2.11719i) q^{33} +(-0.285520 - 0.0838363i) q^{34} +(-6.93253 + 3.00979i) q^{35} +(-0.953897 - 2.08874i) q^{36} +(3.13060 + 0.450112i) q^{37} +(1.66732 - 1.92419i) q^{38} +(-3.28048 + 7.18325i) q^{39} +(-2.40308 - 1.54436i) q^{40} +(-1.66516 + 0.239414i) q^{41} +(5.80890 + 1.82494i) q^{42} +(8.73830 - 7.57178i) q^{43} +(0.284936 + 0.970403i) q^{44} +6.55934 q^{45} +(2.09146 - 4.31576i) q^{46} +7.57140i q^{47} +(0.648368 + 2.20814i) q^{48} +(-6.02687 + 3.56045i) q^{49} +(2.65823 - 1.70834i) q^{50} +(-0.677854 + 0.0974607i) q^{51} +(1.85515 - 2.88668i) q^{52} +(7.98930 + 3.64859i) q^{53} +(1.22400 + 1.06060i) q^{54} +(-2.85962 - 0.411151i) q^{55} +(-2.38557 - 1.14413i) q^{56} +(1.65079 - 5.62206i) q^{57} +(5.04913 + 1.48256i) q^{58} +(6.61951 - 3.02303i) q^{59} +(-6.50702 - 0.935568i) q^{60} +(6.57890 - 7.59246i) q^{61} +(5.46660 + 2.49651i) q^{62} +(6.02866 - 0.751410i) q^{63} +(-0.142315 - 0.989821i) q^{64} +(5.29933 + 8.24592i) q^{65} +(1.52420 + 1.75903i) q^{66} +(4.29528 + 14.6284i) q^{67} +0.297574 q^{68} +(0.252297 - 11.0340i) q^{69} +(5.80376 - 4.84100i) q^{70} +(-1.97960 + 0.581263i) q^{71} +(1.50372 + 1.73539i) q^{72} +(1.61711 + 2.51626i) q^{73} +(-3.13060 + 0.450112i) q^{74} +(3.93150 - 6.11754i) q^{75} +(-1.05767 + 2.31598i) q^{76} +(-2.67536 - 0.0503015i) q^{77} +(1.12384 - 7.81650i) q^{78} +(-15.2197 + 6.95062i) q^{79} +(2.74083 + 0.804781i) q^{80} +(10.1860 + 2.99087i) q^{81} +(1.53026 - 0.698846i) q^{82} +(-1.06281 + 7.39202i) q^{83} +(-6.08775 - 0.114460i) q^{84} +(-0.353117 + 0.773218i) q^{85} +(-6.25112 + 9.72693i) q^{86} +(11.9871 - 1.72349i) q^{87} +(-0.546788 - 0.850819i) q^{88} +(0.142635 + 0.164610i) q^{89} +(-6.29364 + 1.84798i) q^{90} +(5.81521 + 6.97172i) q^{91} +(-0.790853 + 4.73017i) q^{92} +13.8304 q^{93} +(-2.13311 - 7.26471i) q^{94} +(-4.76277 - 5.49653i) q^{95} +(-1.24421 - 1.93603i) q^{96} +(-2.49473 - 17.3512i) q^{97} +(4.77965 - 5.11419i) q^{98} +(2.11249 + 0.964743i) 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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