LMFDB - Embedded newform 95.2.r.a.13.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [95,2,Mod(2,95)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(95, base_ring=CyclotomicField(36)) chi = DirichletCharacter(H, H._module([9, 2])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("95.2"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.r (of order $36$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$8$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			13.1
Character	$\chi$	$=$	95.13
Dual form			95.2.r.a.22.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-2.46340 - 0.215520i) q^{2} +(-0.507407 + 0.236608i) q^{3} +(4.05227 + 0.714525i) q^{4} +(-1.91831 - 1.14895i) q^{5} +(1.30094 - 0.473503i) q^{6} +(0.801323 + 2.99058i) q^{7} +(-5.05128 - 1.35349i) q^{8} +(-1.72688 + 2.05802i) q^{9} +(4.47794 + 3.24376i) q^{10} +(2.71405 + 4.70087i) q^{11} +(-2.22521 + 0.596244i) q^{12} +(-0.828132 + 1.77593i) q^{13} +(-1.32945 - 7.53969i) q^{14} +(1.24521 + 0.129100i) q^{15} +(4.41834 + 1.60814i) q^{16} +(-0.146177 + 1.67081i) q^{17} +(4.69755 - 4.69755i) q^{18} +(-2.83929 - 3.30733i) q^{19} +(-6.95256 - 6.02655i) q^{20} +(-1.11419 - 1.32784i) q^{21} +(-5.67266 - 12.1651i) q^{22} +(1.93732 - 1.35652i) q^{23} +(2.88330 - 0.508403i) q^{24} +(2.35981 + 4.40809i) q^{25} +(2.42277 - 4.19636i) q^{26} +(0.823998 - 3.07520i) q^{27} +(1.11034 + 12.6912i) q^{28} +(-0.236581 - 0.198515i) q^{29} +(-3.03964 - 0.586393i) q^{30} +(-3.68657 - 2.12844i) q^{31} +(-1.05854 - 0.493605i) q^{32} +(-2.48939 - 1.74309i) q^{33} +(0.720185 - 4.08437i) q^{34} +(1.89885 - 6.65753i) q^{35} +(-8.46832 + 7.10576i) q^{36} +(3.08090 + 3.08090i) q^{37} +(6.28150 + 8.75921i) q^{38} -1.09706i q^{39} +(8.13481 + 8.40008i) q^{40} +(-3.63501 + 9.98710i) q^{41} +(2.45852 + 3.51113i) q^{42} +(3.28576 - 4.69255i) q^{43} +(7.63918 + 20.9885i) q^{44} +(5.67727 - 1.96381i) q^{45} +(-5.06474 + 2.92413i) q^{46} +(-2.92349 + 0.255773i) q^{47} +(-2.62240 + 0.229430i) q^{48} +(-2.23925 + 1.29283i) q^{49} +(-4.86313 - 11.3675i) q^{50} +(-0.321156 - 0.882368i) q^{51} +(-4.62477 + 6.60485i) q^{52} +(-3.97255 - 5.67339i) q^{53} +(-2.69260 + 7.39787i) q^{54} +(0.194697 - 12.1360i) q^{55} -16.1908i q^{56} +(2.22321 + 1.00637i) q^{57} +(0.540010 + 0.540010i) q^{58} +(-1.92632 + 1.61638i) q^{59} +(4.95370 + 1.41289i) q^{60} +(1.00075 - 5.67553i) q^{61} +(8.62279 + 6.03774i) q^{62} +(-7.53846 - 3.51524i) q^{63} +(-5.64270 - 3.25782i) q^{64} +(3.62908 - 2.45530i) q^{65} +(5.75669 + 4.83044i) q^{66} +(0.197751 + 2.26031i) q^{67} +(-1.78619 + 6.66614i) q^{68} +(-0.662044 + 1.14669i) q^{69} +(-6.11245 + 15.9909i) q^{70} +(8.76383 - 1.54530i) q^{71} +(11.5085 - 8.05832i) q^{72} +(5.20427 + 11.1606i) q^{73} +(-6.92550 - 8.25349i) q^{74} +(-2.24038 - 1.67835i) q^{75} +(-9.14239 - 15.4310i) q^{76} +(-11.8835 + 11.8835i) q^{77} +(-0.236439 + 2.70251i) q^{78} +(14.4810 + 5.27064i) q^{79} +(-6.62806 - 8.16138i) q^{80} +(-1.09003 - 6.18188i) q^{81} +(11.1069 - 23.8188i) q^{82} +(3.66649 - 0.982433i) q^{83} +(-3.56623 - 6.17689i) q^{84} +(2.20010 - 3.03718i) q^{85} +(-9.10547 + 10.8515i) q^{86} +(0.167013 + 0.0447510i) q^{87} +(-7.34685 - 27.4188i) q^{88} +(3.79487 - 1.38122i) q^{89} +(-14.4086 + 3.61408i) q^{90} +(-5.97467 - 1.05350i) q^{91} +(8.81981 - 4.11274i) q^{92} +(2.37420 + 0.207716i) q^{93} +7.25686 q^{94} +(1.64666 + 9.60669i) q^{95} +0.653901 q^{96} +(-13.4973 - 1.18086i) q^{97} +(5.79481 - 2.70216i) q^{98} +(-14.3613 - 2.53229i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8} - 12 q^{10} - 12 q^{11} - 18 q^{12} - 12 q^{13} + 6 q^{15} + 12 q^{16} - 30 q^{17} - 84 q^{20} + 24 q^{21} - 24 q^{22} + 12 q^{25} - 48 q^{26}+ \cdots - 90 q^{98}+O(q^{100}) $ 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8 - 12 * q^10 - 12 * q^11 - 18 * q^12 - 12 * q^13 + 6 * q^15 + 12 * q^16 - 30 * q^17 - 84 * q^20 + 24 * q^21 - 24 * q^22 + 12 * q^25 - 48 * q^26 - 18 * q^27 - 6 * q^30 - 36 * q^31 + 18 * q^32 + 90 * q^33 - 30 * q^35 + 24 * q^36 + 54 * q^38 + 54 * q^40 + 12 * q^41 + 24 * q^42 + 48 * q^43 + 12 * q^45 - 36 * q^46 - 24 * q^47 + 60 * q^48 + 126 * q^50 - 96 * q^51 - 30 * q^53 + 18 * q^55 - 66 * q^57 + 120 * q^58 + 84 * q^60 - 48 * q^61 + 60 * q^62 - 126 * q^63 + 72 * q^65 + 72 * q^66 + 108 * q^67 + 18 * q^68 + 36 * q^70 - 24 * q^71 + 48 * q^72 + 6 * q^73 + 60 * q^76 + 168 * q^77 - 138 * q^78 - 60 * q^80 - 120 * q^81 + 60 * q^82 - 36 * q^85 - 180 * q^86 - 6 * q^87 - 198 * q^88 - 270 * q^90 - 24 * q^91 - 72 * q^92 - 90 * q^93 - 24 * q^95 - 192 * q^96 - 72 * q^97 - 90 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−2.46340	−	0.215520i	−1.74189	−	0.152395i	−0.828634	−	0.559790i	$-0.810882\pi$
$2$	−2.46340	−	0.215520i	−1.74189	−	0.152395i	−0.913252	+	0.407395i	$0.866437\pi$
$3$	−0.507407	+	0.236608i	−0.292952	+	0.136606i	−0.563538	−	0.826090i	$-0.690560\pi$
$3$	−0.507407	+	0.236608i	−0.292952	+	0.136606i	0.270586	+	0.962696i	$0.412782\pi$
$4$	4.05227	+	0.714525i	2.02614	+	0.357263i
$5$	−1.91831	−	1.14895i	−0.857894	−	0.513827i
$5$	−1.91831	−	1.14895i	−0.857894	−	0.513827i
$6$	1.30094	−	0.473503i	0.531107	−	0.193307i
$7$	0.801323	+	2.99058i	0.302871	+	1.13033i	0.934762	+	0.355274i	$0.115613\pi$
$7$	0.801323	+	2.99058i	0.302871	+	1.13033i	−0.631891	+	0.775058i	$0.717721\pi$
$8$	−5.05128	−	1.35349i	−1.78590	−	0.478529i
$9$	−1.72688	+	2.05802i	−0.575628	+	0.686007i
$10$	4.47794	+	3.24376i	1.41605	+	1.02577i
$11$	2.71405	+	4.70087i	0.818316	+	1.41737i	0.906922	+	0.421299i	$0.138426\pi$
$11$	2.71405	+	4.70087i	0.818316	+	1.41737i	−0.0886055	+	0.996067i	$0.528241\pi$
$12$	−2.22521	+	0.596244i	−0.642364	+	0.172121i
$13$	−0.828132	+	1.77593i	−0.229682	+	0.492556i	−0.987046	−	0.160438i	$-0.948709\pi$
$13$	−0.828132	+	1.77593i	−0.229682	+	0.492556i	0.757364	+	0.652993i	$0.226487\pi$
$14$	−1.32945	−	7.53969i	−0.355311	−	2.01507i
$15$	1.24521	+	0.129100i	0.321513	+	0.0333335i
$16$	4.41834	+	1.60814i	1.10458	+	0.402036i
$17$	−0.146177	+	1.67081i	−0.0354531	+	0.405231i	0.957646	+	0.287950i	$0.0929736\pi$
$17$	−0.146177	+	1.67081i	−0.0354531	+	0.405231i	−0.993099	+	0.117282i	$0.962582\pi$
$18$	4.69755	−	4.69755i	1.10722	−	1.10722i
$19$	−2.83929	−	3.30733i	−0.651377	−	0.758754i
$19$	−2.83929	−	3.30733i	−0.651377	−	0.758754i
$20$	−6.95256	−	6.02655i	−1.55464	−	1.34758i
$21$	−1.11419	−	1.32784i	−0.243136	−	0.289759i
$22$	−5.67266	−	12.1651i	−1.20941	−	2.59360i
$23$	1.93732	−	1.35652i	0.403958	−	0.282855i	−0.353888	−	0.935288i	$-0.615141\pi$
$23$	1.93732	−	1.35652i	0.403958	−	0.282855i	0.757846	+	0.652433i	$0.226252\pi$
$24$	2.88330	−	0.508403i	0.588551	−	0.103777i
$25$	2.35981	+	4.40809i	0.471963	+	0.881618i
$26$	2.42277	−	4.19636i	0.475144	−	0.822973i
$27$	0.823998	−	3.07520i	0.158579	−	0.591823i
$28$	1.11034	+	12.6912i	0.209834	+	2.39841i
$29$	−0.236581	−	0.198515i	−0.0439320	−	0.0368633i	0.620557	−	0.784161i	$-0.286906\pi$
$29$	−0.236581	−	0.198515i	−0.0439320	−	0.0368633i	−0.664489	+	0.747298i	$0.731351\pi$
$30$	−3.03964	−	0.586393i	−0.554959	−	0.107060i
$31$	−3.68657	−	2.12844i	−0.662128	−	0.382280i	0.130959	−	0.991388i	$-0.458194\pi$
$31$	−3.68657	−	2.12844i	−0.662128	−	0.382280i	−0.793087	+	0.609108i	$0.791528\pi$
$32$	−1.05854	−	0.493605i	−0.187125	−	0.0872578i
$33$	−2.48939	−	1.74309i	−0.433347	−	0.303433i
$34$	0.720185	−	4.08437i	0.123511	−	0.700464i
$35$	1.89885	−	6.65753i	0.320964	−	1.12533i
$36$	−8.46832	+	7.10576i	−1.41139	+	1.18429i
$37$	3.08090	+	3.08090i	0.506497	+	0.506497i	0.913449	−	0.406952i	$-0.133409\pi$
$37$	3.08090	+	3.08090i	0.506497	+	0.506497i	−0.406952	+	0.913449i	$0.633409\pi$
$38$	6.28150	+	8.75921i	1.01899	+	1.42093i
$39$		−	1.09706i		−	0.175671i
$40$	8.13481	+	8.40008i	1.28623	+	1.32817i
$41$	−3.63501	+	9.98710i	−0.567693	+	1.55972i	0.240404	+	0.970673i	$0.422720\pi$
$41$	−3.63501	+	9.98710i	−0.567693	+	1.55972i	−0.808097	+	0.589050i	$0.799502\pi$
$42$	2.45852	+	3.51113i	0.379358	+	0.541779i
$43$	3.28576	−	4.69255i	0.501073	−	0.715607i	−0.486340	−	0.873770i	$-0.661668\pi$
$43$	3.28576	−	4.69255i	0.501073	−	0.715607i	0.987413	+	0.158163i	$0.0505572\pi$
$44$	7.63918	+	20.9885i	1.15165	+	3.16413i
$45$	5.67727	−	1.96381i	0.846317	−	0.292747i
$46$	−5.06474	+	2.92413i	−0.746756	+	0.431139i
$47$	−2.92349	+	0.255773i	−0.426435	+	0.0373083i	−0.298354	−	0.954455i	$-0.596438\pi$
$47$	−2.92349	+	0.255773i	−0.426435	+	0.0373083i	−0.128082	+	0.991764i	$0.540882\pi$
$48$	−2.62240	+	0.229430i	−0.378510	+	0.0331154i
$49$	−2.23925	+	1.29283i	−0.319893	+	0.184691i
$50$	−4.86313	−	11.3675i	−0.687751	−	1.60760i
$51$	−0.321156	−	0.882368i	−0.0449708	−	0.123556i
$52$	−4.62477	+	6.60485i	−0.641340	+	0.915928i
$53$	−3.97255	−	5.67339i	−0.545672	−	0.779300i	0.447707	−	0.894180i	$-0.352241\pi$
$53$	−3.97255	−	5.67339i	−0.545672	−	0.779300i	−0.993379	+	0.114880i	$0.963352\pi$
$54$	−2.69260	+	7.39787i	−0.366417	+	1.00672i
$55$	0.194697	−	12.1360i	0.0262529	−	1.63642i
$56$		−	16.1908i		−	2.16359i
$57$	2.22321	+	1.00637i	0.294472	+	0.133297i
$58$	0.540010	+	0.540010i	0.0709068	+	0.0709068i
$59$	−1.92632	+	1.61638i	−0.250786	+	0.210435i	−0.759511	−	0.650495i	$-0.774562\pi$
$59$	−1.92632	+	1.61638i	−0.250786	+	0.210435i	0.508725	+	0.860929i	$0.330117\pi$
$60$	4.95370	+	1.41289i	0.639521	+	0.182403i
$61$	1.00075	−	5.67553i	0.128133	−	0.726677i	−0.851265	−	0.524736i	$-0.824164\pi$
$61$	1.00075	−	5.67553i	0.128133	−	0.726677i	0.979398	−	0.201941i	$-0.0647249\pi$
$62$	8.62279	+	6.03774i	1.09509	+	0.766794i
$63$	−7.53846	−	3.51524i	−0.949757	−	0.442879i
$64$	−5.64270	−	3.25782i	−0.705338	−	0.407227i
$65$	3.62908	−	2.45530i	0.450132	−	0.304543i
$66$	5.75669	+	4.83044i	0.708600	+	0.594586i
$67$	0.197751	+	2.26031i	0.0241592	+	0.276141i	0.998660	+	0.0517558i	$0.0164817\pi$
$67$	0.197751	+	2.26031i	0.0241592	+	0.276141i	−0.974501	+	0.224385i	$0.927963\pi$
$68$	−1.78619	+	6.66614i	−0.216607	+	0.808388i
$69$	−0.662044	+	1.14669i	−0.0797007	+	0.138046i
$70$	−6.11245	+	15.9909i	−0.730578	+	1.91128i
$71$	8.76383	−	1.54530i	1.04008	−	0.183393i	0.372574	−	0.928002i	$-0.378475\pi$
$71$	8.76383	−	1.54530i	1.04008	−	0.183393i	0.667501	+	0.744609i	$0.267364\pi$
$72$	11.5085	−	8.05832i	1.35629	−	0.949682i
$73$	5.20427	+	11.1606i	0.609114	+	1.30625i	0.932906	+	0.360121i	$0.117265\pi$
$73$	5.20427	+	11.1606i	0.609114	+	1.30625i	−0.323791	+	0.946129i	$0.604958\pi$
$74$	−6.92550	−	8.25349i	−0.805073	−	0.959448i
$75$	−2.24038	−	1.67835i	−0.258696	−	0.193799i
$76$	−9.14239	−	15.4310i	−1.04870	−	1.77005i
$77$	−11.8835	+	11.8835i	−1.35425	+	1.35425i
$78$	−0.236439	+	2.70251i	−0.0267714	+	0.305999i
$79$	14.4810	+	5.27064i	1.62924	+	0.592993i	0.985110	−	0.171927i	$-0.0549993\pi$
$79$	14.4810	+	5.27064i	1.62924	+	0.592993i	0.644125	+	0.764920i	$0.277221\pi$
$80$	−6.62806	−	8.16138i	−0.741039	−	0.912470i
$81$	−1.09003	−	6.18188i	−0.121115	−	0.686875i
$82$	11.1069	−	23.8188i	1.22655	−	2.63035i
$83$	3.66649	−	0.982433i	0.402449	−	0.107836i	−0.0519158	−	0.998651i	$-0.516533\pi$
$83$	3.66649	−	0.982433i	0.402449	−	0.107836i	0.454365	+	0.890815i	$0.349866\pi$
$84$	−3.56623	−	6.17689i	−0.389108	−	0.673954i
$85$	2.20010	−	3.03718i	0.238634	−	0.329428i
$86$	−9.10547	+	10.8515i	−0.981868	+	1.17014i
$87$	0.167013	+	0.0447510i	0.0179057	+	0.00479781i
$88$	−7.34685	−	27.4188i	−0.783177	−	2.92286i
$89$	3.79487	−	1.38122i	0.402256	−	0.146409i	−0.132966	−	0.991121i	$-0.542450\pi$
$89$	3.79487	−	1.38122i	0.402256	−	0.146409i	0.535222	+	0.844711i	$0.320228\pi$
$90$	−14.4086	+	3.61408i	−1.51880	+	0.380958i
$91$	−5.97467	−	1.05350i	−0.626315	−	0.110436i
$92$	8.81981	−	4.11274i	0.919529	−	0.428783i
$93$	2.37420	+	0.207716i	0.246193	+	0.0215391i
$94$	7.25686			0.748488
$95$	1.64666	+	9.60669i	0.168943	+	0.985626i
$96$	0.653901			0.0667385
$97$	−13.4973	−	1.18086i	−1.37044	−	0.119898i	−0.621957	−	0.783051i	$-0.713662\pi$
$97$	−13.4973	−	1.18086i	−1.37044	−	0.119898i	−0.748484	+	0.663153i	$0.769218\pi$
$98$	5.79481	−	2.70216i	0.585364	−	0.272960i
$99$	−14.3613	−	2.53229i	−1.44337	−	0.254505i
$100$	6.41292	+	19.5489i	0.641292	+	1.95489i
$101$	13.6892	−	4.98245i	1.36212	−	0.495772i	0.445413	−	0.895325i	$-0.353057\pi$
$101$	13.6892	−	4.98245i	1.36212	−	0.495772i	0.916710	+	0.399553i	$0.130835\pi$
$102$	0.600967	+	2.24284i	0.0595046	+	0.222074i
$103$	−4.84062	−	1.29704i	−0.476961	−	0.127801i	0.0123263	−	0.999924i	$-0.496076\pi$
$103$	−4.84062	−	1.29704i	−0.476961	−	0.127801i	−0.489287	+	0.872123i	$0.662743\pi$
$104$	6.58682	−	7.84987i	0.645891	−	0.769743i
$105$	0.611735	+	3.82736i	0.0596992	+	0.373512i
$106$	8.56326	+	14.8320i	0.831737	+	1.44061i
$107$	17.1307	−	4.59016i	1.65609	−	0.443748i	0.694781	−	0.719221i	$-0.255501\pi$
$107$	17.1307	−	4.59016i	1.65609	−	0.443748i	0.961309	+	0.275473i	$0.0888345\pi$
$108$	5.53638	−	11.8728i	0.532738	−	1.14246i
$109$	0.821327	+	4.65798i	0.0786689	+	0.446154i	0.998544	+	0.0539422i	$0.0171787\pi$
$109$	0.821327	+	4.65798i	0.0786689	+	0.446154i	−0.919875	+	0.392211i	$0.871710\pi$
$110$	−3.09517	+	29.8539i	−0.295113	+	2.84646i
$111$	−2.29224	−	0.834306i	−0.217569	−	0.0791888i
$112$	−1.26876	+	14.5020i	−0.119887	+	1.37031i
$113$	−7.55406	+	7.55406i	−0.710626	+	0.710626i	−0.966666	−	0.256040i	$-0.917582\pi$
$113$	−7.55406	+	7.55406i	−0.710626	+	0.710626i	0.256040	+	0.966666i	$0.417582\pi$
$114$	−5.25977	−	2.95823i	−0.492623	−	0.277064i
$115$	−5.27495	+	0.376345i	−0.491892	+	0.0350943i
$116$	−0.816847	−	0.973481i	−0.0758424	−	0.0903854i
$117$	−2.22482	−	4.77114i	−0.205685	−	0.441092i
$118$	5.09367	−	3.56662i	0.468910	−	0.328334i
$119$	−5.11382	+	0.901705i	−0.468783	+	0.0826592i
$120$	−6.11519	−	2.33750i	−0.558238	−	0.213384i
$121$	−9.23212	+	15.9905i	−0.839283	+	1.45368i
$122$	−3.68843	+	13.7654i	−0.333935	+	1.24626i
$123$	−0.518597	−	5.92760i	−0.0467604	−	0.534473i
$124$	−13.4182	−	11.2592i	−1.20499	−	1.01111i
$125$	0.537841	−	11.1674i	0.0481060	−	0.998842i
$126$	17.8126	+	10.2841i	1.58688	+	0.916183i
$127$	10.3632	+	4.83242i	0.919582	+	0.428808i	0.823985	−	0.566612i	$-0.191746\pi$
$127$	10.3632	+	4.83242i	0.919582	+	0.428808i	0.0955972	+	0.995420i	$0.469524\pi$
$128$	15.1116	+	10.5813i	1.33569	+	0.935260i
$129$	−0.556923	+	3.15847i	−0.0490343	+	0.278087i
$130$	−9.46903	+	5.26626i	−0.830489	+	0.461882i
$131$	6.27923	−	5.26890i	0.548619	−	0.460346i	−0.325854	−	0.945420i	$-0.605652\pi$
$131$	6.27923	−	5.26890i	0.548619	−	0.460346i	0.874473	+	0.485074i	$0.161207\pi$
$132$	−8.84221	−	8.84221i	−0.769615	−	0.769615i
$133$	7.61565	−	11.1413i	0.660361	−	0.966077i
$134$		−	5.61067i		−	0.484688i
$135$	−5.11395	+	4.95245i	−0.440138	+	0.426239i
$136$	2.99980	−	8.24188i	0.257231	−	0.706735i
$137$	0.234107	+	0.334339i	0.0200011	+	0.0285645i	0.829028	−	0.559207i	$-0.188894\pi$
$137$	0.234107	+	0.334339i	0.0200011	+	0.0285645i	−0.809027	+	0.587772i	$0.800005\pi$
$138$	1.87801	−	2.68208i	0.159867	−	0.228314i
$139$	1.44655	+	3.97436i	0.122695	+	0.337101i	0.985800	−	0.167923i	$-0.0537060\pi$
$139$	1.44655	+	3.97436i	0.122695	+	0.337101i	−0.863105	+	0.505024i	$0.831484\pi$
$140$	12.4516	−	25.6214i	1.05235	−	2.16540i
$141$	1.42288	−	0.821502i	0.119828	−	0.0691830i
$142$	−21.9219	+	1.91791i	−1.83964	+	0.160948i
$143$	−10.5960	+	0.927032i	−0.886084	+	0.0775223i
$144$	−10.9396	+	6.31595i	−0.911629	+	0.526330i
$145$	0.225751	+	0.652634i	0.0187476	+	0.0541983i
$146$	−10.4149	−	28.6146i	−0.861942	−	2.36817i
$147$	0.830319	−	1.18582i	0.0684835	−	0.0978046i
$148$	10.2833	+	14.6860i	0.845280	+	1.20718i
$149$	1.86104	−	5.11315i	0.152462	−	0.418886i	−0.839824	−	0.542860i	$-0.817342\pi$
$149$	1.86104	−	5.11315i	0.152462	−	0.418886i	0.992286	+	0.123974i	$0.0395638\pi$
$150$	5.15722	+	4.61728i	0.421085	+	0.377000i
$151$		−	8.25723i		−	0.671964i	−0.941868	−	0.335982i	$-0.890932\pi$
$151$		−	8.25723i		−	0.671964i	0.941868	−	0.335982i	$-0.109068\pi$
$152$	9.86559	+	20.5492i	0.800205	+	1.66676i
$153$	−3.18613	−	3.18613i	−0.257584	−	0.257584i
$154$	31.8349	−	26.7126i	2.56533	−	2.15257i
$155$	4.62650	+	8.31871i	0.371610	+	0.668175i
$156$	0.783880	−	4.44560i	0.0627606	−	0.355933i
$157$	−10.5943	−	7.41820i	−0.845516	−	0.592037i	0.0685291	−	0.997649i	$-0.478169\pi$
$157$	−10.5943	−	7.41820i	−0.845516	−	0.592037i	−0.914045	+	0.405612i	$0.867058\pi$
$158$	−34.5365	−	16.1046i	−2.74757	−	1.28121i
$159$	3.35807	+	1.93878i	0.266312	+	0.153755i
$160$	1.46347	+	2.16310i	0.115698	+	0.171008i
$161$	5.60920	+	4.70668i	0.442067	+	0.370938i
$162$	1.35287	+	15.4634i	0.106291	+	1.21492i
$163$	0.363027	−	1.35483i	0.0284344	−	0.106119i	−0.950250	−	0.311488i	$-0.899173\pi$
$163$	0.363027	−	1.35483i	0.0284344	−	0.106119i	0.978685	+	0.205369i	$0.0658394\pi$
$164$	−21.8661	+	37.8732i	−1.70745	+	2.95740i
$165$	2.77269	+	6.20398i	0.215854	+	0.482979i
$166$	−9.24376	+	1.62992i	−0.717455	+	0.126507i
$167$	5.35159	−	3.74723i	0.414119	−	0.289969i	−0.347891	−	0.937535i	$-0.613102\pi$
$167$	5.35159	−	3.74723i	0.414119	−	0.289969i	0.762009	+	0.647566i	$0.224213\pi$
$168$	3.83087	+	8.21533i	0.295558	+	0.633826i
$169$	5.88810	+	7.01716i	0.452931	+	0.539782i
$170$	−6.07429	+	7.00763i	−0.465877	+	0.537460i
$171$	11.7097	−	0.131927i	0.895461	−	0.0100887i
$172$	16.6677	−	16.6677i	1.27090	−	1.27090i
$173$	−0.0997187	+	1.13979i	−0.00758147	+	0.0866566i	−0.999043	−	0.0437450i	$-0.986071\pi$
$173$	−0.0997187	+	1.13979i	−0.00758147	+	0.0866566i	0.991461	+	0.130402i	$0.0416267\pi$
$174$	−0.401775	−	0.146234i	−0.0304585	−	0.0110860i
$175$	−11.2918	+	10.5895i	−0.853577	+	0.800492i
$176$	4.43191	+	25.1346i	0.334068	+	1.89459i
$177$	0.594983	−	1.27594i	0.0447217	−	0.0959059i
$178$	−9.64597	+	2.58463i	−0.722996	+	0.193726i
$179$	5.29184	+	9.16573i	0.395531	+	0.685079i	0.993169	−	0.116687i	$-0.0372274\pi$
$179$	5.29184	+	9.16573i	0.395531	+	0.685079i	−0.597638	+	0.801766i	$0.703894\pi$
$180$	24.4090	−	3.90134i	1.81934	−	0.290789i
$181$	−2.44168	+	2.90988i	−0.181489	+	0.216290i	−0.849117	−	0.528205i	$-0.822865\pi$
$181$	−2.44168	+	2.90988i	−0.181489	+	0.216290i	0.667628	+	0.744495i	$0.267310\pi$
$182$	14.4909	+	3.88284i	1.07414	+	0.287815i
$183$	0.835087	+	3.11659i	0.0617314	+	0.230385i
$184$	−11.6220	+	4.23005i	−0.856782	+	0.311843i
$185$	−2.37031	−	9.44993i	−0.174268	−	0.694773i
$186$	−5.80384	−	1.02337i	−0.425558	−	0.0750374i
$187$	−8.25100	+	3.84750i	−0.603373	+	0.281357i
$188$	−12.0296	−	1.05245i	−0.877345	−	0.0767578i
$189$	9.85692			0.716985
$190$	−1.98594	−	24.0200i	−0.144075	−	1.74259i
$191$	−13.5399			−0.979715			−0.489857	−	0.871803i	$-0.662951\pi$
$191$	−13.5399			−0.979715			−0.489857	+	0.871803i	$0.662951\pi$
$192$	3.63397	+	0.317931i	0.262259	+	0.0229447i
$193$	−13.7567	+	6.41484i	−0.990227	+	0.461750i	−0.849095	−	0.528241i	$-0.822852\pi$
$193$	−13.7567	+	6.41484i	−0.990227	+	0.461750i	−0.141132	+	0.989991i	$0.545074\pi$
$194$	32.9947	+	5.81785i	2.36888	+	0.417698i
$195$	−1.26047	+	2.10451i	−0.0902645	+	0.150707i
$196$	−9.99783	+	3.63891i	−0.714131	+	0.259922i
$197$	−1.71651	−	6.40611i	−0.122296	−	0.456416i	0.877432	−	0.479700i	$-0.159255\pi$
$197$	−1.71651	−	6.40611i	−0.122296	−	0.456416i	−0.999729	+	0.0232837i	$0.992588\pi$
$198$	34.8319	+	9.33319i	2.47540	+	0.663281i
$199$	11.7318	−	13.9814i	0.831646	−	0.991118i	−0.168339	−	0.985729i	$-0.553840\pi$
$199$	11.7318	−	13.9814i	0.831646	−	0.991118i	0.999985	−	0.00538842i	$-0.00171520\pi$
$200$	−5.95378	−	25.4605i	−0.420996	−	1.80033i
$201$	−0.635147	−	1.10011i	−0.0447998	−	0.0775956i
$202$	−34.7957	+	9.32348i	−2.44822	+	0.655998i
$203$	0.404097	−	0.866589i	0.0283620	−	0.0608226i
$204$	−0.670937	−	3.80507i	−0.0469750	−	0.266408i
$205$	18.4478	−	14.9819i	1.28845	−	1.04638i
$206$	11.6449	+	4.23838i	0.811336	+	0.295302i
$207$	−0.553768	+	6.32960i	−0.0384895	+	0.439937i
$208$	−6.51492	+	6.51492i	−0.451729	+	0.451729i
$209$	7.84138	−	22.3234i	0.542400	−	1.54414i
$210$	−0.682076	−	9.56016i	−0.0470677	−	0.659714i
$211$	−9.92418	−	11.8272i	−0.683209	−	0.814217i	0.307308	−	0.951610i	$-0.400572\pi$
$211$	−9.92418	−	11.8272i	−0.683209	−	0.814217i	−0.990517	+	0.137394i	$0.956127\pi$
$212$	−12.0441	−	25.8286i	−0.827191	−	1.77392i
$213$	−4.08120	+	2.85769i	−0.279639	+	0.195805i
$214$	−43.1891	+	7.61540i	−2.95235	+	0.520578i
$215$	−11.6946	+	5.22657i	−0.797566	+	0.356449i
$216$	−8.32448	+	14.4184i	−0.566409	+	0.981050i
$217$	3.41114	−	12.7306i	0.231563	−	0.864206i
$218$	−1.01937	−	11.6515i	−0.0690406	−	0.789138i
$219$	−5.28137	−	4.43160i	−0.356882	−	0.299460i
$220$	9.46047	−	49.0394i	0.637825	−	3.30624i
$221$	−2.84620	−	1.64325i	−0.191456	−	0.110537i
$222$	5.46688	+	2.54925i	0.366913	+	0.171094i
$223$	9.78183	+	6.84931i	0.655040	+	0.458664i	0.853254	−	0.521495i	$-0.174625\pi$
$223$	9.78183	+	6.84931i	0.655040	+	0.458664i	−0.198215	+	0.980159i	$0.563514\pi$
$224$	0.627932	−	3.56118i	0.0419555	−	0.237941i
$225$	−13.1471	−	2.75572i	−0.876471	−	0.183715i
$226$	20.2367	−	16.9806i	1.34613	−	1.12953i
$227$	5.86908	+	5.86908i	0.389545	+	0.389545i	0.874525	−	0.484980i	$-0.161173\pi$
$227$	5.86908	+	5.86908i	0.389545	+	0.389545i	−0.484980	+	0.874525i	$0.661173\pi$
$228$	8.29000	+	5.66662i	0.549019	+	0.375281i
$229$			18.6144i			1.23007i	0.788498	+	0.615037i	$0.210859\pi$
$229$			18.6144i			1.23007i	−0.788498	+	0.615037i	$0.789141\pi$
$230$	13.0754	+	0.209768i	0.862168	+	0.0138317i
$231$	3.21804	−	8.84149i	0.211731	−	0.581727i
$232$	0.926349	+	1.32296i	0.0608178	+	0.0868568i
$233$	−11.4458	+	16.3464i	−0.749842	+	1.07089i	0.245007	+	0.969521i	$0.421210\pi$
$233$	−11.4458	+	16.3464i	−0.749842	+	1.07089i	−0.994849	+	0.101364i	$0.967679\pi$
$234$	4.45235	+	12.2327i	0.291059	+	0.799678i
$235$	5.90203	+	2.86831i	0.385006	+	0.187108i
$236$	−8.96094	+	5.17360i	−0.583307	+	0.336773i
$237$	−8.59481	+	0.751949i	−0.558293	+	0.0488443i
$238$	12.7917	−	1.11913i	0.829165	−	0.0725425i
$239$	−12.7575	+	7.36555i	−0.825214	+	0.476438i	−0.852211	−	0.523198i	$-0.824739\pi$
$239$	−12.7575	+	7.36555i	−0.825214	+	0.476438i	0.0269968	+	0.999636i	$0.491406\pi$
$240$	5.29417	+	2.57289i	0.341737	+	0.166079i
$241$	6.89416	+	18.9416i	0.444092	+	1.22013i	0.936778	+	0.349925i	$0.113793\pi$
$241$	6.89416	+	18.9416i	0.444092	+	1.22013i	−0.492686	+	0.870207i	$0.663985\pi$
$242$	26.1887	−	37.4013i	1.68347	−	2.40425i
$243$	7.49403	+	10.7026i	0.480742	+	0.686571i
$244$	8.11062	−	22.2837i	0.519229	−	1.42657i
$245$	5.78099	+	0.0927437i	0.369334	+	0.00592518i
$246$			14.7138i			0.938118i
$247$	8.22491	−	2.30348i	0.523338	−	0.146567i
$248$	15.7411	+	15.7411i	0.999560	+	0.999560i
$249$	−1.62795	+	1.36601i	−0.103167	+	0.0865676i
$250$	−3.73171	+	27.3938i	−0.236014	+	1.73254i
$251$	−1.07296	+	6.08505i	−0.0677245	+	0.384085i	0.932039	+	0.362357i	$0.118028\pi$
$251$	−1.07296	+	6.08505i	−0.0677245	+	0.384085i	−0.999764	+	0.0217279i	$0.993083\pi$
$252$	−28.0362	−	19.6311i	−1.76611	−	1.23665i
$253$	11.6348	+	5.42540i	0.731474	+	0.341092i
$254$	−24.4871	−	14.1377i	−1.53646	−	0.887075i
$255$	−0.397724	+	2.06165i	−0.0249064	+	0.129105i
$256$	−24.9629	−	20.9464i	−1.56018	−	1.30915i
$257$	−1.14349	−	13.0701i	−0.0713288	−	0.815292i	−0.944636	−	0.328121i	$-0.893584\pi$
$257$	−1.14349	−	13.0701i	−0.0713288	−	0.815292i	0.873307	−	0.487171i	$-0.161971\pi$
$258$	2.05263	−	7.66054i	0.127791	−	0.476924i
$259$	−6.74488	+	11.6825i	−0.419106	+	0.725913i
$260$	16.4604	−	7.35650i	1.02083	−	0.456231i
$261$	0.817096	−	0.144076i	0.0505770	−	0.00891809i
$262$	−16.6038	+	11.6261i	−1.02579	+	0.718264i
$263$	−5.91407	−	12.6828i	−0.364677	−	0.782053i	−0.999952	−	0.00976677i	$-0.996891\pi$
$263$	−5.91407	−	12.6828i	−0.364677	−	0.782053i	0.635275	−	0.772286i	$-0.280887\pi$
$264$	10.2153	+	12.1742i	0.628711	+	0.749269i
$265$	1.10212	+	15.4476i	0.0677026	+	0.948938i
$266$	−21.1616	+	25.8043i	−1.29750	+	1.58216i
$267$	−1.59874	+	1.59874i	−0.0978411	+	0.0978411i
$268$	−0.813705	+	9.30069i	−0.0497050	+	0.568130i
$269$	−4.24483	−	1.54499i	−0.258812	−	0.0941998i	0.209356	−	0.977840i	$-0.432863\pi$
$269$	−4.24483	−	1.54499i	−0.258812	−	0.0941998i	−0.468167	+	0.883640i	$0.655086\pi$
$270$	13.6650	−	11.0977i	0.831628	−	0.675385i
$271$	−1.61764	−	9.17407i	−0.0982644	−	0.557285i	−0.993698	−	0.112090i	$-0.964245\pi$
$271$	−1.61764	−	9.17407i	−0.0982644	−	0.557285i	0.895434	−	0.445195i	$-0.146866\pi$
$272$	−3.33276	+	7.14714i	−0.202079	+	0.433359i
$273$	3.28085	−	0.879102i	0.198566	−	0.0532057i
$274$	−0.504642	−	0.874066i	−0.0304866	−	0.0528043i
$275$	−14.3172	+	23.0570i	−0.863361	+	1.39039i
$276$	−3.50213	+	4.17367i	−0.210803	+	0.251225i
$277$	18.0239	+	4.82949i	1.08295	+	0.290176i	0.755804	−	0.654798i	$-0.227246\pi$
$277$	18.0239	+	4.82949i	1.08295	+	0.290176i	0.327147	+	0.944973i	$0.393913\pi$
$278$	−2.70688	−	10.1022i	−0.162348	−	0.605889i
$279$	10.7467	−	3.91147i	0.643386	−	0.234173i
$280$	−18.6025	+	31.0590i	−1.11171	+	1.85613i
$281$	−16.8479	−	2.97074i	−1.00506	−	0.177219i	−0.353191	−	0.935551i	$-0.614904\pi$
$281$	−16.8479	−	2.97074i	−1.00506	−	0.177219i	−0.651869	+	0.758332i	$0.726015\pi$
$282$	−3.68218	+	1.71703i	−0.219271	+	0.102248i
$283$	0.300543	+	0.0262941i	0.0178655	+	0.00156302i	0.0960850	−	0.995373i	$-0.469368\pi$
$283$	0.300543	+	0.0262941i	0.0178655	+	0.00156302i	−0.0782195	+	0.996936i	$0.524924\pi$
$284$	36.6176			2.17286
$285$	−3.10854	−	4.48489i	−0.184134	−	0.265662i
$286$	26.3020			1.55527
$287$	−32.7800	−	2.86788i	−1.93494	−	0.169286i
$288$	2.84382	−	1.32610i	0.167574	−	0.0781410i
$289$	13.9715	+	2.46355i	0.821852	+	0.144915i
$290$	−0.415460	−	1.65635i	−0.0243966	−	0.0972643i
$291$	7.12801	−	2.59438i	0.417852	−	0.152086i
$292$	13.1146	+	48.9444i	0.767475	+	2.86425i
$293$	17.1633	+	4.59890i	1.00269	+	0.268670i	0.722573	−	0.691295i	$-0.242959\pi$
$293$	17.1633	+	4.59890i	1.00269	+	0.268670i	0.280119	+	0.959965i	$0.409626\pi$
$294$	−2.30097	+	2.74219i	−0.134196	+	0.159928i
$295$	5.55243	−	0.887455i	0.323275	−	0.0516696i
$296$	−11.3925	−	19.7324i	−0.662177	−	1.14692i
$297$	16.6925	−	4.47274i	0.968597	−	0.259535i
$298$	−5.68646	+	12.1947i	−0.329408	+	0.706417i
$299$	0.804743	+	4.56393i	0.0465395	+	0.263939i
$300$	−7.87939	−	8.40193i	−0.454917	−	0.485085i
$301$	16.6664	+	6.06606i	0.960634	+	0.349642i
$302$	−1.77959	+	20.3409i	−0.102404	+	1.17048i
$303$	−5.76709	+	5.76709i	−0.331311	+	0.331311i
$304$	−7.22626	−	19.1789i	−0.414454	−	1.09999i
$305$	−8.44066	+	9.73760i	−0.483311	+	0.557573i
$306$	7.16204	+	8.53539i	0.409427	+	0.487936i
$307$	2.95182	+	6.33019i	0.168469	+	0.361283i	0.972358	−	0.233497i	$-0.0750169\pi$
$307$	2.95182	+	6.33019i	0.168469	+	0.361283i	−0.803888	+	0.594780i	$0.797239\pi$
$308$	−56.6462	+	39.6641i	−3.22772	+	2.26007i
$309$	2.76306	−	0.487202i	0.157185	−	0.0277159i
$310$	−9.60408	−	21.4894i	−0.545475	−	1.22052i
$311$	6.76709	−	11.7209i	0.383726	−	0.664634i	−0.607865	−	0.794040i	$-0.707974\pi$
$311$	6.76709	−	11.7209i	0.383726	−	0.664634i	0.991592	+	0.129407i	$0.0413073\pi$
$312$	−1.48486	+	5.54157i	−0.0840636	+	0.313730i
$313$	−1.99501	−	22.8030i	−0.112764	−	1.28890i	−0.816044	−	0.577990i	$-0.803837\pi$
$313$	−1.99501	−	22.8030i	−0.112764	−	1.28890i	0.703279	−	0.710914i	$-0.251718\pi$
$314$	24.4992	+	20.5573i	1.38257	+	1.16011i
$315$	10.4222	+	15.4047i	0.587227	+	0.867954i
$316$	54.9148	+	31.7051i	3.08920	+	1.78355i
$317$	−26.6863	−	12.4440i	−1.49885	−	0.698927i	−0.511769	−	0.859123i	$-0.671010\pi$
$317$	−26.6863	−	12.4440i	−1.49885	−	0.698927i	−0.987085	+	0.160196i	$0.948787\pi$
$318$	−7.85442	−	5.49973i	−0.440454	−	0.308409i
$319$	0.291101	−	1.65092i	0.0162985	−	0.0924336i
$320$	7.08137	+	12.7327i	0.395861	+	0.711780i
$321$	−7.60618	+	6.38235i	−0.424536	+	0.356228i
$322$	−12.8033	−	12.8033i	−0.713502	−	0.713502i
$323$	5.94097	−	4.26045i	0.330564	−	0.237058i
$324$		−	25.8295i		−	1.43497i
$325$	−9.78272	+	0.540393i	−0.542648	+	0.0299756i
$326$	−1.18627	+	3.25926i	−0.0657016	+	0.180514i
$327$	−1.51886	−	2.16916i	−0.0839932	−	0.119955i
$328$	31.8788	−	45.5277i	1.76021	−	2.51384i
$329$	−3.10757	−	8.53798i	−0.171326	−	0.470714i
$330$	−5.49316	−	15.8804i	−0.302389	−	0.874189i
$331$	−8.86318	+	5.11716i	−0.487164	+	0.281264i	−0.723397	−	0.690432i	$-0.757420\pi$
$331$	−8.86318	+	5.11716i	−0.487164	+	0.281264i	0.236233	+	0.971696i	$0.424087\pi$
$332$	15.5596	−	1.36129i	0.853944	−	0.0747104i
$333$	−11.6609	+	1.02020i	−0.639014	+	0.0559065i
$334$	−13.9907	+	8.07754i	−0.765538	+	0.441984i
$335$	2.21764	−	4.56318i	0.121163	−	0.249313i
$336$	−2.78751	−	7.65863i	−0.152071	−	0.417812i
$337$	0.174514	−	0.249231i	0.00950636	−	0.0135765i	−0.814371	−	0.580345i	$-0.802918\pi$
$337$	0.174514	−	0.249231i	0.00950636	−	0.0135765i	0.823877	+	0.566768i	$0.191807\pi$
$338$	−12.9924	−	18.5551i	−0.706694	−	1.00926i
$339$	2.04563	−	5.62033i	0.111104	−	0.305254i
$340$	11.0855	−	10.7355i	0.601198	−	0.582212i
$341$		−	23.1068i		−	1.25130i
$342$	−28.8741	−	2.19868i	−1.56133	−	0.118891i
$343$	9.66409	+	9.66409i	0.521812	+	0.521812i
$344$	−22.9486	+	19.2561i	−1.23730	+	1.03822i
$345$	2.58750	−	1.43905i	0.139306	−	0.0774761i
$346$	0.491294	−	2.78627i	0.0264121	−	0.149791i
$347$	15.3106	+	10.7206i	0.821917	+	0.575512i	0.907130	−	0.420850i	$-0.138268\pi$
$347$	15.3106	+	10.7206i	0.821917	+	0.575512i	−0.0852133	+	0.996363i	$0.527157\pi$
$348$	0.644807	+	0.300679i	0.0345653	+	0.0161181i
$349$	3.58331	+	2.06882i	0.191810	+	0.110742i	0.592830	−	0.805328i	$-0.298011\pi$
$349$	3.58331	+	2.06882i	0.191810	+	0.110742i	−0.401020	+	0.916069i	$0.631344\pi$
$350$	30.0984	−	23.6526i	1.60883	−	1.26428i
$351$	4.77898	+	4.01004i	0.255083	+	0.214040i
$352$	−0.552554	−	6.31572i	−0.0294512	−	0.336629i
$353$	−1.09756	+	4.09617i	−0.0584175	+	0.218017i	−0.988964	−	0.148157i	$-0.952666\pi$
$353$	−1.09756	+	4.09617i	−0.0584175	+	0.218017i	0.930546	+	0.366174i	$0.119333\pi$
$354$	−1.74067	+	3.01493i	−0.0925157	+	0.160242i
$355$	−18.5872	−	7.10487i	−0.986507	−	0.377087i
$356$	16.3648	−	2.88555i	0.867332	−	0.152934i
$357$	2.38144	−	1.66750i	0.126039	−	0.0882536i
$358$	−11.0605	−	23.7194i	−0.584567	−	1.25361i
$359$	−6.02747	−	7.18326i	−0.318118	−	0.379118i	0.583162	−	0.812356i	$-0.301815\pi$
$359$	−6.02747	−	7.18326i	−0.318118	−	0.379118i	−0.901280	+	0.433238i	$0.857371\pi$
$360$	−31.3354	+	2.23565i	−1.65152	+	0.117829i
$361$	−2.87691	+	18.7809i	−0.151416	+	0.988470i
$362$	6.64197	−	6.64197i	0.349094	−	0.349094i
$363$	0.900965	−	10.2981i	0.0472884	−	0.540509i
$364$	−23.4582	−	8.53810i	−1.22955	−	0.447518i
$365$	2.83961	−	27.3889i	0.148632	−	1.43360i
$366$	−1.38547	−	7.85738i	−0.0724196	−	0.410712i
$367$	−3.73449	+	8.00863i	−0.194939	+	0.418047i	−0.979344	−	0.202201i	$-0.935190\pi$
$367$	−3.73449	+	8.00863i	−0.194939	+	0.418047i	0.784405	+	0.620248i	$0.212968\pi$
$368$	10.7412	−	2.87810i	0.559924	−	0.150031i
$369$	−14.2764	−	24.7275i	−0.743201	−	1.28726i
$370$	3.80237	+	23.7898i	0.197676	+	1.23677i
$371$	13.7834	−	16.4264i	0.715600	−	0.852818i
$372$	9.47249	+	2.53815i	0.491126	+	0.131597i
$373$	−5.66992	−	21.1604i	−0.293577	−	1.09565i	−0.942341	−	0.334655i	$-0.891380\pi$
$373$	−5.66992	−	21.1604i	−0.293577	−	1.09565i	0.648764	−	0.760990i	$-0.275286\pi$
$374$	21.1547	−	7.69969i	1.09388	−	0.398141i
$375$	2.36939	+	5.79367i	0.122355	+	0.299184i
$376$	15.1136	+	2.66493i	0.779422	+	0.137433i
$377$	0.548470	−	0.255756i	0.0282476	−	0.0131721i
$378$	−24.2815	−	2.12436i	−1.24891	−	0.109265i
$379$	−18.4965			−0.950102			−0.475051	−	0.879958i	$-0.657570\pi$
$379$	−18.4965			−0.950102			−0.475051	+	0.879958i	$0.657570\pi$
$380$	−0.191525	+	40.1055i	−0.00982504	+	2.05737i
$381$	−6.40173			−0.327971
$382$	33.3543	+	2.91812i	1.70655	+	0.149304i
$383$	32.0674	−	14.9533i	1.63857	−	0.764076i	0.638580	−	0.769555i	$-0.279522\pi$
$383$	32.0674	−	14.9533i	1.63857	−	0.764076i	0.999985	+	0.00547951i	$0.00174419\pi$
$384$	−10.1713	−	1.79348i	−0.519054	−	0.0915232i
$385$	36.4498	−	9.14262i	1.85765	−	0.465951i
$386$	35.2707	−	12.8375i	1.79523	−	0.653411i
$387$	3.98324	+	14.8656i	0.202479	+	0.755663i
$388$	−53.8509	−	14.4293i	−2.73387	−	0.732537i
$389$	9.07995	−	10.8211i	0.460372	−	0.548650i	−0.485055	−	0.874484i	$-0.661201\pi$
$389$	9.07995	−	10.8211i	0.460372	−	0.548650i	0.945427	+	0.325834i	$0.105645\pi$
$390$	3.55862	−	4.91258i	0.180198	−	0.248758i
$391$	1.98330	+	3.43518i	0.100300	+	0.173725i
$392$	13.0609	−	3.49966i	0.659676	−	0.176760i
$393$	−1.93946	+	4.15919i	−0.0978330	+	0.209804i
$394$	2.84781	+	16.1508i	0.143471	+	0.813663i
$395$	−21.7232	−	26.7487i	−1.09301	−	1.34587i
$396$	−56.3867	−	20.5231i	−2.83354	−	1.03132i
$397$	2.68339	−	30.6713i	0.134676	−	1.53935i	−0.565121	−	0.825008i	$-0.691170\pi$
$397$	2.68339	−	30.6713i	0.134676	−	1.53935i	0.699796	−	0.714342i	$-0.253274\pi$
$398$	−31.9134	+	31.9134i	−1.59968	+	1.59968i
$399$	−1.22811	+	7.45512i	−0.0614822	+	0.373223i
$400$	3.33761	+	23.2714i	0.166881	+	1.16357i
$401$	8.65698	+	10.3170i	0.432309	+	0.515206i	0.937587	−	0.347751i	$-0.113054\pi$
$401$	8.65698	+	10.3170i	0.432309	+	0.515206i	−0.505278	+	0.862957i	$0.668610\pi$
$402$	1.32753	+	2.84689i	0.0662110	+	0.141990i
$403$	6.83295	−	4.78448i	0.340373	−	0.238332i
$404$	59.0323	−	10.4090i	2.93697	−	0.517867i
$405$	−5.01167	+	13.1111i	−0.249032	+	0.651498i
$406$	−1.18222	+	2.04766i	−0.0586725	+	0.101624i
$407$	−6.12120	+	22.8446i	−0.303417	+	1.13237i
$408$	0.427974	+	4.89176i	0.0211879	+	0.242178i
$409$	−18.4492	−	15.4807i	−0.912253	−	0.765471i	0.0602932	−	0.998181i	$-0.480796\pi$
$409$	−18.4492	−	15.4807i	−0.912253	−	0.765471i	−0.972546	+	0.232709i	$0.925241\pi$
$410$	−48.6731	+	32.9305i	−2.40379	+	1.62632i
$411$	−0.197895	−	0.114255i	−0.00976143	−	0.00563577i
$412$	−18.6888	−	8.71472i	−0.920730	−	0.429343i
$413$	−6.37751	−	4.46558i	−0.313817	−	0.219737i
$414$	2.72830	−	15.4730i	0.134089	−	0.760455i
$415$	−8.16223	−	2.32802i	−0.400668	−	0.114278i
$416$	1.75322	−	1.47113i	0.0859586	−	0.0721279i
$417$	−1.67435	−	1.67435i	−0.0819934	−	0.0819934i
$418$	−24.1276	+	53.3014i	−1.18012	+	2.60706i
$419$			2.43513i			0.118964i	0.998229	+	0.0594819i	$0.0189449\pi$
$419$			2.43513i			0.118964i	−0.998229	+	0.0594819i	$0.981055\pi$
$420$	−0.255830	+	15.9466i	−0.0124832	+	0.778115i
$421$	−1.44925	+	3.98178i	−0.0706322	+	0.194060i	−0.969986	−	0.243162i	$-0.921815\pi$
$421$	−1.44925	+	3.98178i	−0.0706322	+	0.194060i	0.899354	+	0.437222i	$0.144038\pi$
$422$	21.8982	+	31.2739i	1.06599	+	1.52239i
$423$	4.52215	−	6.45830i	0.219874	−	0.314013i
$424$	12.3876	+	34.0347i	0.601595	+	1.65287i
$425$	−7.71004	+	3.29844i	−0.373992	+	0.159998i
$426$	10.6695	−	6.16005i	0.516940	−	0.298455i
$427$	17.7750	−	1.55511i	0.860194	−	0.0752572i
$428$	72.6982	−	6.36027i	3.51400	−	0.307435i
$429$	5.15715	−	2.97748i	0.248990	−	0.143754i
$430$	29.9349	−	10.3547i	1.44359	−	0.499349i
$431$	7.01388	+	19.2705i	0.337847	+	0.928227i	0.986004	+	0.166720i	$0.0533176\pi$
$431$	7.01388	+	19.2705i	0.337847	+	0.928227i	−0.648157	+	0.761506i	$0.724460\pi$
$432$	8.58607	−	12.2622i	0.413098	−	0.589965i
$433$	13.0904	+	18.6950i	0.629083	+	0.898424i	0.999537	−	0.0304269i	$-0.00968669\pi$
$433$	13.0904	+	18.6950i	0.629083	+	0.898424i	−0.370454	+	0.928851i	$0.620798\pi$
$434$	−11.1467	+	30.6253i	−0.535058	+	1.47006i
$435$	−0.268966	−	0.277737i	−0.0128959	−	0.0133164i
$436$			19.4623i			0.932074i
$437$	−9.98707	−	2.55579i	−0.477746	−	0.122260i
$438$	12.0550	+	12.0550i	0.576012	+	0.576012i
$439$	−2.59554	+	2.17792i	−0.123878	+	0.103946i	−0.702622	−	0.711563i	$-0.747988\pi$
$439$	−2.59554	+	2.17792i	−0.123878	+	0.103946i	0.578744	+	0.815509i	$0.303543\pi$
$440$	−17.4094	+	61.0389i	−0.829961	+	2.90992i
$441$	1.20625	−	6.84101i	0.0574407	−	0.325762i
$442$	6.65717	+	4.66140i	0.316649	+	0.221720i
$443$	−2.63672	−	1.22952i	−0.125275	−	0.0584165i	0.358970	−	0.933349i	$-0.383128\pi$
$443$	−2.63672	−	1.22952i	−0.125275	−	0.0584165i	−0.484245	+	0.874932i	$0.660906\pi$
$444$	−8.69264	−	5.01870i	−0.412534	−	0.238177i
$445$	−8.86669	−	1.71052i	−0.420322	−	0.0810866i
$446$	−22.6204	−	18.9808i	−1.07111	−	0.898766i
$447$	0.265509	+	3.03479i	0.0125582	+	0.143540i
$448$	5.22113	−	19.4855i	0.246675	−	0.920604i
$449$	1.95617	−	3.38818i	0.0923173	−	0.159898i	−0.816169	−	0.577814i	$-0.803906\pi$
$449$	1.95617	−	3.38818i	0.0923173	−	0.159898i	0.908486	+	0.417916i	$0.137239\pi$
$450$	31.7926	+	9.62189i	1.49872	+	0.453580i
$451$	−56.8136	+	10.0178i	−2.67525	+	0.471719i
$452$	−36.0087	+	25.2135i	−1.69371	+	1.18595i
$453$	1.95372	+	4.18978i	0.0917940	+	0.196853i
$454$	−13.1930	−	15.7228i	−0.619178	−	0.737908i
$455$	10.2508	+	8.88554i	0.480567	+	0.416561i
$456$	−9.86797	−	8.09253i	−0.462110	−	0.378967i
$457$	24.4163	−	24.4163i	1.14214	−	1.14214i	0.154088	−	0.988057i	$-0.450756\pi$
$457$	24.4163	−	24.4163i	1.14214	−	1.14214i	0.988057	−	0.154088i	$-0.0492439\pi$
$458$	4.01176	−	45.8547i	0.187457	−	2.14265i
$459$	5.01763	+	1.82627i	0.234203	+	0.0852430i
$460$	−21.6445	−	2.24403i	−1.00918	−	0.104629i
$461$	−1.39327	−	7.90163i	−0.0648911	−	0.368015i	−0.999910	−	0.0134177i	$-0.995729\pi$
$461$	−1.39327	−	7.90163i	−0.0648911	−	0.368015i	0.935019	−	0.354598i	$-0.115382\pi$
$462$	−9.83283	+	21.0866i	−0.457465	+	0.981036i
$463$	18.7746	−	5.03065i	0.872532	−	0.233794i	0.205350	−	0.978689i	$-0.434167\pi$
$463$	18.7746	−	5.03065i	0.872532	−	0.233794i	0.667182	+	0.744895i	$0.267500\pi$
$464$	−0.726055	−	1.25756i	−0.0337062	−	0.0583809i
$465$	−4.31579	−	3.12631i	−0.200140	−	0.144979i
$466$	31.7186	−	37.8008i	1.46934	−	1.75109i
$467$	−17.5390	−	4.69956i	−0.811608	−	0.217470i	−0.170934	−	0.985282i	$-0.554678\pi$
$467$	−17.5390	−	4.69956i	−0.811608	−	0.217470i	−0.640674	+	0.767813i	$0.721345\pi$
$468$	−5.60648	−	20.9237i	−0.259160	−	0.967197i
$469$	−6.60117	+	2.40263i	−0.304814	+	0.110943i
$470$	−13.9209	−	8.33779i	−0.642123	−	0.384594i
$471$	7.13082	+	1.25736i	0.328571	+	0.0579359i
$472$	11.9181	−	5.55752i	0.548577	−	0.255806i
$473$	30.9767	+	2.71011i	1.42431	+	0.124611i
$474$	21.3345			0.979927
$475$	7.87885	−	20.3205i	0.361506	−	0.932370i
$476$	−21.3669			−0.979351
$477$	18.5361	+	1.62170i	0.848710	+	0.0742525i
$478$	33.0143	−	15.3948i	1.51004	−	0.704142i
$479$	−28.0837	−	4.95191i	−1.28318	−	0.226259i	−0.509848	−	0.860264i	$-0.670299\pi$
$479$	−28.0837	−	4.95191i	−1.28318	−	0.226259i	−0.773328	+	0.634006i	$0.781410\pi$
$480$	−1.25438	−	0.751301i	−0.0572545	−	0.0342921i
$481$	−8.02287	+	2.92009i	−0.365811	+	0.133144i
$482$	−12.9008	−	48.1465i	−0.587615	−	2.19301i
$483$	−3.95979	−	1.06102i	−0.180177	−	0.0482782i
$484$	−48.8367	+	58.2013i	−2.21985	+	2.64551i
$485$	24.5352	+	17.7730i	1.11409	+	0.807030i
$486$	−16.1542	−	27.9798i	−0.732768	−	1.26919i
$487$	15.2837	−	4.09527i	0.692573	−	0.185574i	0.104671	−	0.994507i	$-0.466621\pi$
$487$	15.2837	−	4.09527i	0.692573	−	0.185574i	0.587901	+	0.808933i	$0.299954\pi$
$488$	−12.7368	+	27.3142i	−0.576568	+	1.23645i
$489$	0.136362	+	0.773347i	0.00616650	+	0.0349720i
$490$	−14.2209	−	1.47438i	−0.642434	−	0.0666057i
$491$	0.0823077	+	0.0299576i	0.00371449	+	0.00135197i	0.343877	−	0.939015i	$-0.388260\pi$
$491$	0.0823077	+	0.0299576i	0.00371449	+	0.00135197i	−0.340162	+	0.940367i	$0.610482\pi$
$492$	2.13392	−	24.3908i	0.0962044	−	1.09962i
$493$	0.366264	−	0.366264i	0.0164957	−	0.0164957i
$494$	−20.7577	+	3.90176i	−0.933932	+	0.175548i
$495$	24.6400	+	21.3582i	1.10748	+	0.959980i
$496$	−12.8657	−	15.3327i	−0.577687	−	0.688460i
$497$	11.6440	+	24.9706i	0.522305	+	1.12009i
$498$	4.30470	−	3.01418i	0.192898	−	0.135069i
$499$	−7.86525	+	1.38686i	−0.352097	+	0.0620842i	−0.346900	−	0.937902i	$-0.612766\pi$
$499$	−7.86525	+	1.38686i	−0.352097	+	0.0620842i	−0.00519746	+	0.999986i	$0.501654\pi$
$500$	10.1589	−	44.8690i	0.454318	−	2.00660i
$501$	−1.82881	+	3.16760i	−0.0817054	+	0.141518i
$502$	3.95457	−	14.7587i	0.176501	−	0.658712i
$503$	3.66919	+	41.9391i	0.163601	+	1.86997i	0.425611	+	0.904906i	$0.360059\pi$
$503$	3.66919	+	41.9391i	0.163601	+	1.86997i	−0.262010	+	0.965065i	$0.584385\pi$
$504$	33.3210	+	27.9596i	1.48424	+	1.24542i
$505$	−31.9846	−	6.17034i	−1.42330	−	0.274576i
$506$	−27.4919	−	15.8725i	−1.22216	−	0.705617i
$507$	−4.64798	−	2.16739i	−0.206424	−	0.0962571i
$508$	38.5415	+	26.9870i	1.71000	+	1.19736i
$509$	4.08730	−	23.1803i	0.181167	−	1.02745i	−0.749616	−	0.661873i	$-0.769762\pi$
$509$	4.08730	−	23.1803i	0.181167	−	1.02745i	0.930782	−	0.365574i	$-0.119127\pi$
$510$	1.42408	−	4.99294i	0.0630592	−	0.221091i
$511$	−29.2063	+	24.5070i	−1.29201	+	1.08413i
$512$	30.8901	+	30.8901i	1.36516	+	1.36516i
$513$	−12.5103	+	6.00614i	−0.552343	+	0.265178i
$514$			32.4434i			1.43102i
$515$	7.79557	+	8.04978i	0.343514	+	0.354715i
$516$	−4.51361	+	12.4010i	−0.198701	+	0.545925i
$517$	−9.13686	−	13.0488i	−0.401839	−	0.573885i
$518$	19.1331	−	27.3249i	0.840661	−	1.20059i
$519$	−0.219085	−	0.601932i	−0.00961677	−	0.0264219i
$520$	−21.6547	+	7.49052i	−0.949621	+	0.328481i
$521$	−1.35610	+	0.782946i	−0.0594119	+	0.0343015i	−0.529412	−	0.848365i	$-0.677587\pi$
$521$	−1.35610	+	0.782946i	−0.0594119	+	0.0343015i	0.470000	+	0.882667i	$0.344254\pi$
$522$	−2.04389	+	0.178817i	−0.0894585	+	0.00782660i
$523$	−21.8473	+	1.91139i	−0.955314	+	0.0835791i	−0.554140	−	0.832423i	$-0.686953\pi$
$523$	−21.8473	+	1.91139i	−0.955314	+	0.0835791i	−0.401173	+	0.916002i	$0.631397\pi$
$524$	29.2099	−	16.8644i	1.27604	−	0.736723i
$525$	3.22396	−	8.04491i	0.140705	−	0.351109i
$526$	11.8353	+	32.5173i	0.516045	+	1.41782i
$527$	4.09512	−	5.84844i	0.178386	−	0.254762i
$528$	−8.19583	−	11.7049i	−0.356678	−	0.509389i
$529$	−5.95342	+	16.3569i	−0.258845	+	0.711170i
$530$	0.614300	−	38.2911i	0.0266835	−	1.66326i
$531$		−	6.75571i		−	0.293173i
$532$	38.8215	−	39.7062i	1.68312	−	1.72148i
$533$	−14.7262	−	14.7262i	−0.637861	−	0.637861i
$534$	4.28289	−	3.59377i	0.185339	−	0.155518i
$535$	−38.1359	−	10.8771i	−1.64876	−	0.470256i
$536$	2.06040	−	11.6851i	0.0889957	−	0.504719i
$537$	−4.85380	−	3.39867i	−0.209457	−	0.146663i
$538$	10.1237	+	4.72077i	0.436465	+	0.203527i
$539$	−12.1549	−	7.01763i	−0.523548	−	0.302271i
$540$	−24.2618	+	16.4147i	−1.04406	+	0.706374i
$541$	18.0266	+	15.1261i	0.775024	+	0.650323i	0.941990	−	0.335640i	$-0.108953\pi$
$541$	18.0266	+	15.1261i	0.775024	+	0.650323i	−0.166966	+	0.985963i	$0.553397\pi$
$542$	2.00769	+	22.9480i	0.0862378	+	0.985703i
$543$	0.550425	−	2.05421i	0.0236210	−	0.0881548i
$544$	0.979454	−	1.69646i	0.0419938	−	0.0727353i
$545$	3.77624	−	9.87911i	0.161756	−	0.423174i
$546$	−8.27152	+	1.45849i	−0.353988	+	0.0624177i
$547$	5.84197	−	4.09059i	0.249785	−	0.174901i	−0.441978	−	0.897026i	$-0.645723\pi$
$547$	5.84197	−	4.09059i	0.249785	−	0.174901i	0.691763	+	0.722125i	$0.256834\pi$
$548$	0.709772	+	1.52211i	0.0303199	+	0.0650213i
$549$	9.95218	+	11.8605i	0.424748	+	0.506196i
$550$	40.2383	−	53.7129i	1.71577	−	2.29032i
$551$	0.0151658	+	1.34609i	0.000646083	+	0.0573455i
$552$	4.89620	−	4.89620i	0.208396	−	0.208396i
$553$	−4.15833	+	47.5299i	−0.176830	+	2.02118i
$554$	−43.3592	−	15.7815i	−1.84216	−	0.670490i
$555$	3.43864	+	4.23413i	0.145962	+	0.179729i
$556$	3.02203	+	17.1388i	0.128163	+	0.726847i
$557$	−19.3619	+	41.5217i	−0.820389	+	1.75933i	−0.192058	+	0.981384i	$0.561516\pi$
$557$	−19.3619	+	41.5217i	−0.820389	+	1.75933i	−0.628331	+	0.777946i	$0.716262\pi$
$558$	−27.3163	+	7.31939i	−1.15639	+	0.309855i
$559$	5.61261	+	9.72133i	0.237388	+	0.411169i
$560$	19.0960	−	26.3616i	0.806954	−	1.11398i
$561$	3.27627	−	3.90450i	0.138324	−	0.164848i
$562$	40.8628	+	10.9492i	1.72369	+	0.461862i
$563$	5.36843	+	20.0353i	0.226252	+	0.844386i	0.981899	+	0.189406i	$0.0606562\pi$
$563$	5.36843	+	20.0353i	0.226252	+	0.844386i	−0.755646	+	0.654980i	$0.772677\pi$
$564$	6.35290	−	2.31227i	0.267505	−	0.0973640i
$565$	23.1703	−	5.81175i	0.974780	−	0.244502i
$566$	−0.734692	−	0.129546i	−0.0308814	−	0.00544522i
$567$	17.6139	−	8.21350i	0.739715	−	0.344935i
$568$	−46.3601	−	4.05598i	−1.94523	−	0.170185i
$569$	−9.83327			−0.412232			−0.206116	−	0.978528i	$-0.566082\pi$
$569$	−9.83327			−0.412232			−0.206116	+	0.978528i	$0.566082\pi$
$570$	6.69100	+	11.7180i	0.280255	+	0.490814i
$571$	−3.68436			−0.154186			−0.0770929	−	0.997024i	$-0.524564\pi$
$571$	−3.68436			−0.154186			−0.0770929	+	0.997024i	$0.524564\pi$
$572$	−43.6004	−	3.81454i	−1.82302	−	0.159494i
$573$	6.87026	−	3.20365i	0.287009	−	0.133835i
$574$	80.1322	+	14.1295i	3.34465	+	0.589752i
$575$	10.5514	+	5.33873i	0.440023	+	0.222640i
$576$	16.4490	−	5.98693i	0.685373	−	0.249455i
$577$	8.84916	+	33.0255i	0.368395	+	1.37487i	0.862759	+	0.505615i	$0.168735\pi$
$577$	8.84916	+	33.0255i	0.368395	+	1.37487i	−0.494363	+	0.869255i	$0.664599\pi$
$578$	−33.8864	−	9.07984i	−1.40949	−	0.377672i
$579$	5.46243	−	6.50987i	0.227011	−	0.270541i
$580$	0.448481	+	2.80596i	0.0186222	+	0.116511i
$581$	5.87608	+	10.1777i	0.243781	+	0.422241i
$582$	−18.1183	+	4.85478i	−0.751027	+	0.201237i
$583$	15.8882	−	34.0723i	0.658021	−	1.41113i
$584$	−11.1825	−	63.4192i	−0.462736	−	2.62430i
$585$	−1.21393	+	11.7087i	−0.0501897	+	0.484097i
$586$	−41.2889	−	15.0279i	−1.70563	−	0.620799i
$587$	−0.100658	+	1.15053i	−0.00415460	+	0.0474873i	−0.997989	−	0.0633873i	$-0.979810\pi$
$587$	−0.100658	+	1.15053i	−0.00415460	+	0.0474873i	0.993834	+	0.110875i	$0.0353652\pi$
$588$	4.21198	−	4.21198i	0.173699	−	0.173699i
$589$	3.42776	+	18.2360i	0.141239	+	0.751401i
$590$	−13.8691	+	0.989500i	−0.570982	+	0.0407371i
$591$	2.38671	+	2.84437i	0.0981760	+	0.117002i
$592$	8.65793	+	18.5670i	0.355839	+	0.763099i
$593$	−15.7132	+	11.0025i	−0.645264	+	0.451819i	−0.849846	−	0.527031i	$-0.823305\pi$
$593$	−15.7132	+	11.0025i	−0.645264	+	0.451819i	0.204582	+	0.978849i	$0.434416\pi$
$594$	−42.0843	+	7.42059i	−1.72674	+	0.304471i
$595$	10.8459	+	4.14580i	0.444639	+	0.169961i
$596$	11.1949	−	19.3901i	0.458561	−	0.794251i
$597$	−2.64469	+	9.87012i	−0.108240	+	0.403957i
$598$	−0.998789	−	11.4162i	−0.0408435	−	0.466844i
$599$	−4.65988	−	3.91010i	−0.190397	−	0.159762i	0.542606	−	0.839987i	$-0.317438\pi$
$599$	−4.65988	−	3.91010i	−0.190397	−	0.159762i	−0.733003	+	0.680225i	$0.761882\pi$
$600$	9.04514	+	11.5101i	0.369266	+	0.469898i
$601$	−17.2461	−	9.95705i	−0.703483	−	0.406156i	0.105160	−	0.994455i	$-0.466465\pi$
$601$	−17.2461	−	9.95705i	−0.703483	−	0.406156i	−0.808644	+	0.588299i	$0.799798\pi$
$602$	−39.7486	−	18.5351i	−1.62003	−	0.755433i
$603$	−4.99326	−	3.49632i	−0.203341	−	0.142381i
$604$	5.90000	−	33.4606i	0.240068	−	1.36149i
$605$	36.0824	−	20.0674i	1.46696	−	0.815857i
$606$	15.4496	−	12.9637i	0.627596	−	0.526616i
$607$	−1.67102	−	1.67102i	−0.0678245	−	0.0678245i	0.672381	−	0.740205i	$-0.265272\pi$
$607$	−1.67102	−	1.67102i	−0.0678245	−	0.0678245i	−0.740205	+	0.672381i	$0.765272\pi$
$608$	1.37298	+	4.90243i	0.0556816	+	0.198820i
$609$			0.535326i			0.0216925i
$610$	22.8914	−	22.1685i	0.926844	−	0.897575i
$611$	1.96680	−	5.40375i	0.0795683	−	0.218612i
$612$	−10.6345	−	15.1877i	−0.429875	−	0.613925i
$613$	−5.24933	+	7.49682i	−0.212018	+	0.302794i	−0.911049	−	0.412298i	$-0.864726\pi$
$613$	−5.24933	+	7.49682i	−0.212018	+	0.302794i	0.699031	+	0.715092i	$0.253615\pi$
$614$	−5.90722	−	16.2300i	−0.238396	−	0.654988i
$615$	−5.81570	+	11.9668i	−0.234512	+	0.482548i
$616$	76.1109	−	43.9426i	3.06659	−	1.77050i
$617$	−13.2416	+	1.15849i	−0.533086	+	0.0466390i	−0.350521	−	0.936555i	$-0.613995\pi$
$617$	−13.2416	+	1.15849i	−0.533086	+	0.0466390i	−0.182565	+	0.983194i	$0.558440\pi$
$618$	−6.91152	+	0.604679i	−0.278022	+	0.0243238i
$619$	13.3404	−	7.70210i	0.536197	−	0.309573i	−0.207339	−	0.978269i	$-0.566480\pi$
$619$	13.3404	−	7.70210i	0.536197	−	0.309573i	0.743536	+	0.668696i	$0.233147\pi$
$620$	12.8039	+	37.0155i	0.514218	+	1.48658i
$621$	−2.57524	−	7.07541i	−0.103341	−	0.283927i
$622$	−19.1961	+	27.4149i	−0.769695	+	1.09924i
$623$	7.17156	+	10.2421i	0.287323	+	0.410339i
$624$	1.76424	−	4.84720i	0.0706260	−	0.194043i
$625$	−13.8626	+	20.8046i	−0.554502	+	0.832182i
$626$			56.6029i			2.26231i
$627$	1.30311	+	13.1824i	0.0520413	+	0.526453i
$628$	−37.6305	−	37.6305i	−1.50162	−	1.50162i
$629$	−5.59796	+	4.69725i	−0.223205	+	0.187292i
$630$	−22.3541	−	40.1940i	−0.890610	−	1.60137i
$631$	−0.849162	+	4.81584i	−0.0338046	+	0.191715i	−0.997034	−	0.0769659i	$-0.975477\pi$
$631$	−0.849162	+	4.81584i	−0.0338046	+	0.191715i	0.963229	+	0.268681i	$0.0865878\pi$
$632$	−66.0136	−	46.2232i	−2.62588	−	1.83866i
$633$	7.83400	+	3.65306i	0.311374	+	0.145196i
$634$	63.0572	+	36.4061i	2.50432	+	1.44587i
$635$	−14.3275	−	21.1769i	−0.568570	−	0.840378i
$636$	12.2225	+	10.2559i	0.484654	+	0.406673i
$637$	−0.441591	−	5.04740i	−0.0174965	−	0.199985i
$638$	−1.07290	+	4.00413i	−0.0424767	+	0.158525i
$639$	−11.9539	+	20.7047i	−0.472888	+	0.819065i
$640$	−16.8313	−	37.6606i	−0.665317	−	1.48867i
$641$	42.5461	−	7.50202i	1.68047	−	0.296312i	0.749661	−	0.661821i	$-0.230216\pi$
$641$	42.5461	−	7.50202i	1.68047	−	0.296312i	0.930808	+	0.365509i	$0.119105\pi$
$642$	20.1126	−	14.0830i	0.793781	−	0.555811i
$643$	−0.745234	−	1.59816i	−0.0293892	−	0.0630253i	0.891065	−	0.453875i	$-0.149959\pi$
$643$	−0.745234	−	1.59816i	−0.0293892	−	0.0630253i	−0.920454	+	0.390850i	$0.872181\pi$
$644$	19.3670	+	23.0807i	0.763166	+	0.909506i
$645$	4.69728	−	5.41903i	0.184955	−	0.213374i
$646$	−15.5532	+	9.21481i	−0.611932	+	0.362552i
$647$	34.4348	−	34.4348i	1.35377	−	1.35377i	0.472370	−	0.881400i	$-0.343398\pi$
$647$	34.4348	−	34.4348i	1.35377	−	1.35377i	0.881400	−	0.472370i	$-0.156602\pi$
$648$	−2.86103	+	32.7017i	−0.112392	+	1.28464i
$649$	−12.8265	−	4.66847i	−0.503485	−	0.183254i
$650$	24.2152	+	0.777164i	0.949799	+	0.0304829i
$651$	1.28131	+	7.26668i	0.0502185	+	0.284803i
$652$	2.43915	−	5.23077i	0.0955243	−	0.204853i
$653$	−38.2422	+	10.2470i	−1.49653	+	0.400994i	−0.911937	−	0.410331i	$-0.865413\pi$
$653$	−38.2422	+	10.2470i	−1.49653	+	0.400994i	−0.584595	+	0.811325i	$0.698747\pi$
$654$	3.27407	+	5.67085i	0.128026	+	0.221748i
$655$	−18.0992	+	2.89284i	−0.707195	+	0.113032i
$656$	−32.1214	+	38.2808i	−1.25413	+	1.49461i
$657$	−31.9559	−	8.56256i	−1.24672	−	0.334057i
$658$	5.81508	+	21.7022i	0.226696	+	0.846039i
$659$	−20.0906	+	7.31236i	−0.782617	+	0.284849i	−0.702263	−	0.711917i	$-0.747827\pi$
$659$	−20.0906	+	7.31236i	−0.782617	+	0.284849i	−0.0803534	+	0.996766i	$0.525605\pi$
$660$	6.80280	+	27.1214i	0.264799	+	1.05570i
$661$	8.57682	+	1.51232i	0.333600	+	0.0588226i	0.337939	−	0.941168i	$-0.390270\pi$
$661$	8.57682	+	1.51232i	0.333600	+	0.0588226i	−0.00433950	+	0.999991i	$0.501381\pi$
$662$	22.9364	−	10.6954i	0.891448	−	0.415689i
$663$	1.83299	+	0.160366i	0.0711873	+	0.00622808i
$664$	−19.8502			−0.770336
$665$	−27.4100	+	12.6225i	−1.06292	+	0.489480i
$666$	28.9454			1.12161
$667$	−0.727623	−	0.0636588i	−0.0281737	−	0.00246488i
$668$	24.3636	−	11.3609i	0.942657	−	0.439568i
$669$	−6.58397	−	1.16093i	−0.254551	−	0.0448842i
$670$	−6.44639	+	10.7630i	−0.249046	+	0.415810i
$671$	29.3960	−	10.6993i	1.13482	−	0.413041i
$672$	0.523985	+	1.95554i	0.0202132	+	0.0754366i
$673$	41.2828	+	11.0617i	1.59133	+	0.426397i	0.942411	−	0.334457i	$-0.108553\pi$
$673$	41.2828	+	11.0617i	1.59133	+	0.426397i	0.648923	+	0.760854i	$0.275220\pi$
$674$	−0.483611	+	0.576345i	−0.0186280	+	0.0222000i
$675$	15.5003	−	3.62465i	0.596605	−	0.139513i
$676$	18.8463	+	32.6427i	0.724856	+	1.25549i
$677$	−31.5745	+	8.46037i	−1.21351	+	0.325158i	−0.808137	−	0.588994i	$-0.799524\pi$
$677$	−31.5745	+	8.46037i	−1.21351	+	0.325158i	−0.405370	+	0.914153i	$0.632857\pi$
$678$	−6.25050	+	13.4042i	−0.240049	+	0.514787i
$679$	−7.28422	−	41.3109i	−0.279543	−	1.58537i
$680$	−15.2241	+	12.3638i	−0.583817	+	0.474132i
$681$	−4.36668	−	1.58934i	−0.167332	−	0.0609038i
$682$	−4.97997	+	56.9213i	−0.190693	+	2.17963i
$683$	18.2414	−	18.2414i	0.697987	−	0.697987i	−0.265989	−	0.963976i	$-0.585698\pi$
$683$	18.2414	−	18.2414i	0.697987	−	0.697987i	0.963976	+	0.265989i	$0.0856985\pi$
$684$	47.5451	+	7.83226i	1.81793	+	0.299474i
$685$	−0.0649491	−	0.910344i	−0.00248158	−	0.0347825i
$686$	−21.7237	−	25.8893i	−0.829416	−	0.988459i
$687$	−4.40431	−	9.44507i	−0.168035	−	0.360352i
$688$	22.0639	−	15.4493i	0.841177	−	0.588999i
$689$	13.3654	−	2.35668i	0.509180	−	0.0897822i
$690$	−6.68420	+	2.98731i	−0.254463	+	0.113725i
$691$	23.6260	−	40.9214i	0.898775	−	1.55672i	0.0697129	−	0.997567i	$-0.477792\pi$
$691$	23.6260	−	40.9214i	0.898775	−	1.55672i	0.829062	−	0.559157i	$-0.188875\pi$
$692$	−1.21850	+	4.54749i	−0.0463203	+	0.172870i
$693$	−3.93505	−	44.9779i	−0.149480	−	1.70857i
$694$	−35.4057	−	29.7089i	−1.34398	−	1.12773i
$695$	1.79143	−	9.28606i	0.0679527	−	0.352240i
$696$	−0.783060	−	0.452100i	−0.0296818	−	0.0171368i
$697$	−16.1552	−	7.53329i	−0.611922	−	0.285344i
$698$	−8.38125	−	5.86862i	−0.317235	−	0.222130i
$699$	1.94003	−	11.0024i	0.0733785	−	0.416150i
$700$	−53.3238	+	34.8433i	−2.01545	+	1.31695i
$701$	−38.3021	+	32.1393i	−1.44665	+	1.21388i	−0.511673	+	0.859180i	$0.670974\pi$
$701$	−38.3021	+	32.1393i	−1.44665	+	1.21388i	−0.934978	+	0.354705i	$0.884581\pi$
$702$	−10.9083	−	10.9083i	−0.411707	−	0.411707i
$703$	1.44201	−	18.9371i	0.0543863	−	0.714227i
$704$		−	35.3675i		−	1.33296i
$705$	−3.67340	−	0.0589319i	−0.138348	−	0.00221950i
$706$	3.58654	−	9.85395i	0.134981	−	0.370858i
$707$	25.8698	+	36.9460i	0.972935	+	1.38950i
$708$	3.32273	−	4.74535i	0.124876	−	0.178341i
$709$	−12.3224	−	33.8554i	−0.462776	−	1.27147i	−0.923389	−	0.383866i	$-0.874592\pi$
$709$	−12.3224	−	33.8554i	−0.462776	−	1.27147i	0.460612	−	0.887601i	$-0.347630\pi$
$710$	44.2565	+	21.5080i	1.66092	+	0.807182i
$711$	−35.8540	+	20.7003i	−1.34463	+	0.776323i
$712$	−21.0384	+	1.84062i	−0.788448	+	0.0689802i
$713$	−10.0293	+	0.877454i	−0.375602	+	0.0328609i
$714$	−6.22582	+	3.59448i	−0.232995	+	0.134520i
$715$	21.3916	+	10.3960i	0.799999	+	0.388788i
$716$	14.8948	+	40.9232i	0.556646	+	1.52937i
$717$	4.73050	−	6.75586i	0.176664	−	0.252302i
$718$	13.2999	+	18.9943i	0.496350	+	0.708861i
$719$	5.27833	−	14.5021i	0.196849	−	0.540837i	−0.801518	−	0.597971i	$-0.795974\pi$
$719$	5.27833	−	14.5021i	0.196849	−	0.540837i	0.998367	+	0.0571336i	$0.0181961\pi$
$720$	28.2422	+	0.453086i	1.05252	+	0.0168855i
$721$		−	15.5156i		−	0.577831i
$722$	11.1346	−	45.6449i	0.414388	−	1.69873i
$723$	−7.97987	−	7.97987i	−0.296774	−	0.296774i
$724$	−11.9735	+	10.0470i	−0.444993	+	0.373393i
$725$	0.316786	−	1.51133i	0.0117651	−	0.0561294i
$726$	−4.43888	+	25.1741i	−0.164742	+	0.934299i
$727$	8.70839	+	6.09768i	0.322976	+	0.226150i	0.723808	−	0.690001i	$-0.242390\pi$
$727$	8.70839	+	6.09768i	0.322976	+	0.226150i	−0.400832	+	0.916152i	$0.631279\pi$
$728$	28.7538	+	13.4081i	1.06569	+	0.496938i
$729$	9.97391	+	5.75844i	0.369404	+	0.213276i
$730$	−12.8979	+	66.8579i	−0.477374	+	2.47452i
$731$	7.36006	+	6.17582i	0.272222	+	0.228421i
$732$	1.15712	+	13.2260i	0.0427684	+	0.488846i
$733$	4.28018	−	15.9739i	0.158092	−	0.590008i	−0.840728	−	0.541457i	$-0.817873\pi$
$733$	4.28018	−	15.9739i	0.158092	−	0.590008i	0.998821	−	0.0485512i	$-0.0154604\pi$
$734$	10.9255	−	18.9236i	0.403269	−	0.698483i
$735$	−2.95526	+	1.32077i	−0.109006	+	0.0487172i
$736$	−2.72031	+	0.479664i	−0.100272	+	0.0176807i
$737$	−10.0887	+	7.06419i	−0.371623	+	0.260213i
$738$	29.8393	+	63.9905i	1.09840	+	2.35552i
$739$	25.6826	+	30.6074i	0.944751	+	1.12591i	0.991900	+	0.127022i	$0.0405420\pi$
$739$	25.6826	+	30.6074i	0.944751	+	1.12591i	−0.0471489	+	0.998888i	$0.515014\pi$
$740$	−2.85292	−	39.9873i	−0.104876	−	1.46996i
$741$	−3.62836	+	3.11488i	−0.133291	+	0.114428i
$742$	−37.4943	+	37.4943i	−1.37646	+	1.37646i
$743$	4.09692	−	46.8280i	0.150301	−	1.71795i	−0.429391	−	0.903119i	$-0.641272\pi$
$743$	4.09692	−	46.8280i	0.150301	−	1.71795i	0.579693	−	0.814835i	$-0.303173\pi$
$744$	−11.7116	−	4.26267i	−0.429368	−	0.156277i
$745$	−9.44481	+	7.67036i	−0.346031	+	0.281020i
$746$	9.40679	+	53.3486i	0.344407	+	1.95323i
$747$	−4.30974	+	9.24226i	−0.157685	+	0.338157i
$748$	−36.1844	+	9.69559i	−1.32303	+	0.354506i
$749$	27.4545	+	47.5526i	1.00316	+	1.73753i
$750$	−4.58810	−	14.7828i	−0.167534	−	0.539791i
$751$	13.6766	−	16.2991i	0.499066	−	0.594764i	−0.456433	−	0.889758i	$-0.650873\pi$
$751$	13.6766	−	16.2991i	0.499066	−	0.594764i	0.955499	+	0.294994i	$0.0953177\pi$
$752$	−13.3283	−	3.57131i	−0.486033	−	0.130232i
$753$	−0.895344	−	3.34147i	−0.0326281	−	0.121770i
$754$	−1.40622	+	0.511823i	−0.0512116	+	0.0186395i
$755$	−9.48717	+	15.8399i	−0.345273	+	0.576473i
$756$	39.9429	+	7.04302i	1.45271	+	0.256152i
$757$	17.5651	−	8.19074i	0.638415	−	0.297698i	−0.0763306	−	0.997083i	$-0.524320\pi$
$757$	17.5651	−	8.19074i	0.638415	−	0.297698i	0.714745	+	0.699385i	$0.246543\pi$
$758$	45.5643	+	3.98636i	1.65497	+	0.144791i
$759$	−7.18728			−0.260882
$760$	4.68481	−	50.7548i	0.169936	−	1.84107i
$761$	−0.0276948			−0.00100394			−0.000501968	−	1.00000i	$-0.500160\pi$
$761$	−0.0276948			−0.00100394			−0.000501968		1.00000i	$0.500160\pi$
$762$	15.7700	+	1.37970i	0.571288	+	0.0499812i
$763$	−13.2719	+	6.18879i	−0.480475	+	0.224049i
$764$	−54.8675	−	9.67462i	−1.98504	−	0.350016i
$765$	2.45127	+	9.77270i	0.0886258	+	0.353333i
$766$	−82.2174	+	29.9247i	−2.97064	+	1.08122i
$767$	−1.27533	−	4.75960i	−0.0460495	−	0.171859i
$768$	17.6224	+	4.72192i	0.635895	+	0.170388i
$769$	2.74069	−	3.26623i	0.0988319	−	0.117783i	−0.714361	−	0.699777i	$-0.753283\pi$
$769$	2.74069	−	3.26623i	0.0988319	−	0.117783i	0.813193	+	0.581994i	$0.197727\pi$
$770$	−91.7607	+	14.6663i	−3.30683	+	0.528537i
$771$	3.67271	+	6.36132i	0.132269	+	0.229097i
$772$	−60.3294	+	16.1652i	−2.17130	+	0.581798i
$773$	2.51427	−	5.39187i	0.0904320	−	0.193932i	−0.855890	−	0.517159i	$-0.826990\pi$
$773$	2.51427	−	5.39187i	0.0904320	−	0.193932i	0.946322	+	0.323226i	$0.104768\pi$
$774$	−6.60847	−	37.4785i	−0.237536	−	1.34714i
$775$	0.682752	−	21.2735i	0.0245252	−	0.764166i
$776$	66.5802	+	24.2332i	2.39009	+	0.869921i
$777$	0.658235	−	7.52366i	0.0236140	−	0.269910i
$778$	−24.6997	+	24.6997i	−0.885527	+	0.885527i
$779$	43.3515	−	16.3341i	1.55323	−	0.585228i
$780$	−6.61151	+	7.62740i	−0.236730	+	0.273105i
$781$	31.0497	+	37.0036i	1.11105	+	1.32409i
$782$	−4.14532	−	8.88967i	−0.148236	−	0.317894i
$783$	−0.805417	+	0.563959i	−0.0287832	+	0.0201542i
$784$	−11.9728	+	2.11114i	−0.427602	+	0.0753977i
$785$	11.7999	+	26.4027i	0.421158	+	0.942354i
$786$	5.67406	−	9.82776i	0.202387	−	0.350545i
$787$	10.4752	−	39.0940i	0.373401	−	1.39355i	−0.482267	−	0.876024i	$-0.660187\pi$
$787$	10.4752	−	39.0940i	0.373401	−	1.39355i	0.855668	−	0.517526i	$-0.173147\pi$
$788$	−2.37845	−	27.1858i	−0.0847288	−	0.968454i
$789$	6.00168	+	5.03601i	0.213665	+	0.179287i
$790$	47.7481	+	70.5744i	1.69880	+	2.51092i
$791$	−28.6442	−	16.5377i	−1.01847	−	0.588015i
$792$	69.1156	+	32.2292i	2.45592	+	1.14521i
$793$	9.25061	+	6.47735i	0.328499	+	0.230017i
$794$	−13.2205	+	74.9775i	−0.469180	+	2.66085i
$795$	−4.21424	−	7.57745i	−0.149464	−	0.268744i
$796$	57.5306	−	48.2739i	2.03912	−	1.71102i
$797$	−6.47982	−	6.47982i	−0.229527	−	0.229527i	0.582968	−	0.812495i	$-0.301891\pi$
$797$	−6.47982	−	6.47982i	−0.229527	−	0.229527i	−0.812495	+	0.582968i	$0.801891\pi$
$798$	4.63204	−	18.1003i	0.163972	−	0.640742i
$799$		−	4.92199i		−	0.174128i
$800$	−0.322099	−	5.83095i	−0.0113879	−	0.206155i
$801$	−3.71072	+	10.1951i	−0.131112	+	0.360227i
$802$	−19.1021	−	27.2806i	−0.674518	−	0.963312i
$803$	−38.3399	+	54.7550i	−1.35299	+	1.93226i
$804$	−1.78774	−	4.91177i	−0.0630486	−	0.173225i
$805$	−5.35243	−	15.4736i	−0.188648	−	0.545372i
$806$	−17.8634	+	10.3135i	−0.629212	+	0.363276i
$807$	2.51941	−	0.220420i	0.0886875	−	0.00775915i
$808$	−75.8914	+	6.63964i	−2.66985	+	0.233582i
$809$	24.5586	−	14.1789i	0.863435	−	0.498504i	−0.00172606	−	0.999999i	$-0.500549\pi$
$809$	24.5586	−	14.1789i	0.863435	−	0.498504i	0.865161	+	0.501494i	$0.167216\pi$
$810$	15.1715	−	31.2179i	0.533070	−	1.09688i
$811$	−13.5351	−	37.1874i	−0.475282	−	1.30583i	−0.913457	−	0.406936i	$-0.866597\pi$
$811$	−13.5351	−	37.1874i	−0.475282	−	1.30583i	0.438175	−	0.898890i	$-0.355625\pi$
$812$	2.25671	−	3.22292i	0.0791950	−	0.113102i
$813$	2.99146	+	4.27224i	0.104915	+	0.149834i
$814$	20.0024	−	54.9562i	0.701085	−	1.92621i
$815$	−2.25304	+	2.18189i	−0.0789204	+	0.0764282i
$816$		−	4.41507i		−	0.154558i
$817$	−24.8490	+	2.45639i	−0.869357	+	0.0859382i
$818$	42.1113	+	42.1113i	1.47239	+	1.47239i
$819$	12.4857	−	10.4767i	0.436285	−	0.366086i
$820$	85.4604	−	47.5293i	2.98441	−	1.65980i
$821$	8.76478	−	49.7076i	0.305893	−	1.73481i	−0.313378	−	0.949629i	$-0.601461\pi$
$821$	8.76478	−	49.7076i	0.305893	−	1.73481i	0.619271	−	0.785177i	$-0.287428\pi$
$822$	0.462870	+	0.324105i	0.0161444	+	0.0113045i
$823$	−47.1143	−	21.9698i	−1.64230	−	0.765818i	−0.642303	−	0.766451i	$-0.722021\pi$
$823$	−47.1143	−	21.9698i	−1.64230	−	0.765818i	−1.00000		0.000632369i	$0.999799\pi$
$824$	22.6958	+	13.1034i	0.790646	+	0.456480i
$825$	1.80920	−	15.0868i	0.0629884	−	0.525256i
$826$	14.7479	+	12.3750i	0.513146	+	0.430581i
$827$	−3.98677	−	45.5690i	−0.138633	−	1.58459i	−0.673199	−	0.739461i	$-0.735080\pi$
$827$	−3.98677	−	45.5690i	−0.138633	−	1.58459i	0.534566	−	0.845127i	$-0.320475\pi$
$828$	−6.76668	+	25.2536i	−0.235158	+	0.877622i
$829$	−8.78600	+	15.2178i	−0.305150	+	0.528536i	−0.977295	−	0.211884i	$-0.932040\pi$
$829$	−8.78600	+	15.2178i	−0.305150	+	0.528536i	0.672144	+	0.740420i	$0.265373\pi$
$830$	19.6051	+	7.49395i	0.680503	+	0.260119i
$831$	−10.2881	+	1.81408i	−0.356892	+	0.0629297i
$832$	10.4586	−	7.32317i	0.362586	−	0.253885i
$833$	−1.83275	−	3.93035i	−0.0635012	−	0.136179i
$834$	3.76375	+	4.48546i	0.130328	+	0.155319i
$835$	−14.5714	+	1.03961i	−0.504264	+	0.0359770i
$836$	47.7261	−	84.8576i	1.65064	−	2.93486i
$837$	−9.58313	+	9.58313i	−0.331241	+	0.331241i
$838$	0.524818	−	5.99870i	0.0181295	−	0.207222i
$839$	19.4605	+	7.08305i	0.671852	+	0.244534i	0.655345	−	0.755330i	$-0.272523\pi$
$839$	19.4605	+	7.08305i	0.671852	+	0.244534i	0.0165070	+	0.999864i	$0.494745\pi$
$840$	2.09024	−	20.1610i	0.0721200	−	0.695622i
$841$	−5.01923	−	28.4655i	−0.173077	−	0.981569i
$842$	4.42824	−	9.49638i	0.152607	−	0.327267i
$843$	9.25163	−	2.47897i	0.318643	−	0.0853802i
$844$	−31.7647	−	55.0181i	−1.09339	−	1.89380i
$845$	−3.23280	−	20.2262i	−0.111212	−	0.695804i
$846$	−12.5318	+	14.9348i	−0.430851	+	0.513468i
$847$	−55.2187	−	14.7958i	−1.89734	−	0.508390i
$848$	−8.42845	−	31.4554i	−0.289434	−	1.08018i
$849$	−0.158719	+	0.0577691i	−0.00544723	+	0.00198263i
$850$	19.7038	−	6.46371i	0.675834	−	0.221704i
$851$	10.1480	+	1.78937i	0.347869	+	0.0613387i
$852$	−18.5800	+	8.66401i	−0.636541	+	0.296824i
$853$	−52.3721	−	4.58196i	−1.79319	−	0.156883i	−0.858606	−	0.512636i	$-0.828669\pi$
$853$	−52.3721	−	4.58196i	−1.79319	−	0.156883i	−0.934580	+	0.355753i	$0.884224\pi$
$854$	−44.1222			−1.50983
$855$	−22.6144	−	13.2008i	−0.773394	−	0.451458i
$856$	−92.7448			−3.16995
$857$	35.1511	+	3.07532i	1.20074	+	0.105051i	0.669919	−	0.742434i	$-0.266329\pi$
$857$	35.1511	+	3.07532i	1.20074	+	0.105051i	0.530819	+	0.847485i	$0.321884\pi$
$858$	−13.3458	+	6.22327i	−0.455619	+	0.212459i
$859$	−5.19081	−	0.915280i	−0.177108	−	0.0312290i	0.0843906	−	0.996433i	$-0.473106\pi$
$859$	−5.19081	−	0.915280i	−0.177108	−	0.0312290i	−0.261499	+	0.965204i	$0.584217\pi$
$860$	−51.1243	+	12.8234i	−1.74332	+	0.437274i
$861$	17.3114	−	6.30082i	0.589970	−	0.214731i
$862$	−13.1248	−	48.9825i	−0.447033	−	1.66835i
$863$	−21.2517	−	5.69437i	−0.723415	−	0.193839i	−0.121720	−	0.992564i	$-0.538841\pi$
$863$	−21.2517	−	5.69437i	−0.723415	−	0.193839i	−0.601695	+	0.798726i	$0.705508\pi$
$864$	−2.39017	+	2.84849i	−0.0813152	+	0.0969077i
$865$	1.50086	−	2.07190i	0.0510306	−	0.0704466i
$866$	−28.2177	−	48.8745i	−0.958876	−	1.66082i
$867$	−7.67213	+	2.05574i	−0.260559	+	0.0698166i
$868$	22.9192	−	49.1504i	0.777928	−	1.66827i
$869$	14.5254	+	82.3779i	0.492742	+	2.79448i
$870$	0.602713	+	0.742144i	0.0204339	+	0.0251610i
$871$	−4.17792	−	1.52064i	−0.141564	−	0.0515249i
$872$	2.15576	−	24.6404i	0.0730031	−	0.834429i
$873$	25.7385	−	25.7385i	0.871115	−	0.871115i
$874$	24.0513	+	8.44835i	0.813548	+	0.285770i
$875$	33.8279	−	7.34023i	1.14359	−	0.248145i
$876$	−18.2351	−	21.7317i	−0.616106	−	0.734247i
$877$	3.55398	+	7.62154i	0.120009	+	0.257361i	0.957131	−	0.289656i	$-0.0935410\pi$
$877$	3.55398	+	7.62154i	0.120009	+	0.257361i	−0.837121	+	0.547017i	$0.815763\pi$
$878$	6.86324	−	4.80569i	0.231623	−	0.162184i
$879$	−9.79692	+	1.72746i	−0.330442	+	0.0582658i
$880$	20.3767	−	53.3080i	0.686899	−	1.79701i
$881$	−4.46298	+	7.73011i	−0.150362	+	0.260434i	−0.931360	−	0.364099i	$-0.881377\pi$
$881$	−4.46298	+	7.73011i	−0.150362	+	0.260434i	0.780999	+	0.624532i	$0.214710\pi$
$882$	−4.44586	+	16.5922i	−0.149700	+	0.558687i
$883$	−0.291138	−	3.32772i	−0.00979757	−	0.111987i	0.989721	−	0.143011i	$-0.0456785\pi$
$883$	−0.291138	−	3.32772i	−0.00979757	−	0.111987i	−0.999519	+	0.0310246i	$0.990123\pi$
$884$	−10.3594	−	8.69259i	−0.348425	−	0.292363i
$885$	−2.60736	+	1.76405i	−0.0876455	+	0.0592978i
$886$	6.23032	+	3.59708i	0.209312	+	0.120846i
$887$	45.7577	+	21.3372i	1.53639	+	0.716432i	0.992445	−	0.122687i	$-0.0391511\pi$
$887$	45.7577	+	21.3372i	1.53639	+	0.716432i	0.543948	+	0.839119i	$0.316929\pi$
$888$	10.4495	+	7.31682i	0.350662	+	0.245536i
$889$	−6.14749	+	34.8642i	−0.206180	+	1.16931i
$890$	21.4736	+	6.12465i	0.719795	+	0.205299i
$891$	26.1018	−	21.9020i	0.874443	−	0.733745i
$892$	34.7447	+	34.7447i	1.16334	+	1.16334i
$893$	9.14656	+	8.94276i	0.306078	+	0.299258i
$894$		−	7.53311i		−	0.251945i
$895$	0.379619	−	23.6628i	0.0126893	−	0.790959i
$896$	−19.5348	+	53.6714i	−0.652612	+	1.79304i
$897$	−1.48819	−	2.12536i	−0.0496893	−	0.0709637i
$898$	−5.54904	+	7.92486i	−0.185174	+	0.264456i
$899$	0.449645	+	1.23539i	0.0149965	+	0.0412026i
$900$	−51.3065	−	20.5608i	−1.71022	−	0.685362i
$901$	10.0599	−	5.80807i	0.335143	−	0.193495i
$902$	142.114	−	12.4333i	4.73187	−	0.413985i
$903$	−9.89191	+	0.865430i	−0.329182	+	0.0287997i
$904$	48.3819	−	27.9333i	1.60916	−	0.929048i
$905$	8.02721	−	2.77667i	0.266833	−	0.0922997i
$906$	−3.90983	−	10.7422i	−0.129895	−	0.356884i
$907$	−5.23635	+	7.47829i	−0.173870	+	0.248312i	−0.896624	−	0.442794i	$-0.853987\pi$
$907$	−5.23635	+	7.47829i	−0.173870	+	0.248312i	0.722753	+	0.691106i	$0.242876\pi$
$908$	19.5895	+	27.9767i	0.650101	+	0.928441i
$909$	−13.3856	+	36.7767i	−0.443973	+	1.21981i
$910$	−23.3369	−	24.0979i	−0.773611	−	0.798838i
$911$			33.9640i			1.12528i	0.826703	+	0.562639i	$0.190214\pi$
$911$			33.9640i			1.12528i	−0.826703	+	0.562639i	$0.809786\pi$
$912$	8.20453	+	8.02172i	0.271679	+	0.265626i
$913$	14.5693	+	14.5693i	0.482174	+	0.482174i
$914$	−65.4092	+	54.8849i	−2.16354	+	1.81543i
$915$	1.97886	−	6.93805i	0.0654190	−	0.229365i
$916$	−13.3005	+	75.4306i	−0.439459	+	2.49230i
$917$	20.7887	+	14.5564i	0.686505	+	0.480696i
$918$	−11.9668	−	5.58023i	−0.394965	−	0.184175i
$919$	4.54228	+	2.62249i	0.149836	+	0.0865079i	0.573044	−	0.819525i	$-0.305763\pi$
$919$	4.54228	+	2.62249i	0.149836	+	0.0865079i	−0.423208	+	0.906033i	$0.639096\pi$
$920$	27.1546	+	5.23855i	0.895261	+	0.172710i
$921$	−2.99554	−	2.51356i	−0.0987066	−	0.0828246i
$922$	1.72923	+	19.7651i	0.0569490	+	0.650930i
$923$	−4.51326	+	16.8437i	−0.148556	+	0.554417i
$924$	19.3578	−	33.5288i	0.636826	−	1.10302i
$925$	−6.31054	+	20.8512i	−0.207489	+	0.685585i
$926$	−47.3337	+	8.34620i	−1.55548	+	0.274273i
$927$	11.0285	−	7.72226i	0.362225	−	0.253632i
$928$	0.152442	+	0.326913i	0.00500416	+	0.0107315i
$929$	−8.88045	−	10.5833i	−0.291358	−	0.347227i	0.600433	−	0.799675i	$-0.294995\pi$
$929$	−8.88045	−	10.5833i	−0.291358	−	0.347227i	−0.891791	+	0.452448i	$0.850551\pi$
$930$	9.95774	+	8.63148i	0.326527	+	0.283037i
$931$	10.6337	+	3.73523i	0.348506	+	0.122417i
$932$	−58.0616	+	58.0616i	−1.90187	+	1.90187i
$933$	−0.660402	+	7.54843i	−0.0216206	+	0.247125i
$934$	42.1927	+	15.3569i	1.38059	+	0.502493i
$935$	20.2486	+	2.09931i	0.662199	+	0.0686548i
$936$	4.78051	+	27.1116i	0.156256	+	0.886171i
$937$	2.26833	−	4.86445i	0.0741031	−	0.158915i	−0.865766	−	0.500448i	$-0.833169\pi$
$937$	2.26833	−	4.86445i	0.0741031	−	0.158915i	0.939870	+	0.341534i	$0.110946\pi$
$938$	16.7791	−	4.49595i	0.547858	−	0.146798i
$939$	6.40766	+	11.0984i	0.209106	+	0.362182i
$940$	21.8672	+	15.8403i	0.713229	+	0.516654i
$941$	−8.71929	+	10.3912i	−0.284241	+	0.338745i	−0.889206	−	0.457507i	$-0.848743\pi$
$941$	−8.71929	+	10.3912i	−0.284241	+	0.338745i	0.604965	+	0.796252i	$0.293187\pi$
$942$	−17.2951	−	4.63420i	−0.563504	−	0.150990i
$943$	6.50558	+	24.2791i	0.211851	+	0.790638i
$944$	−11.1105	+	4.04390i	−0.361617	+	0.131618i
$945$	−18.9086	−	11.3251i	−0.615097	−	0.368407i
$946$	−75.7240	−	13.3522i	−2.46200	−	0.434117i
$947$	−52.4149	+	24.4415i	−1.70326	+	0.794241i	−0.707054	+	0.707160i	$0.749976\pi$
$947$	−52.4149	+	24.4415i	−1.70326	+	0.794241i	−0.996201	+	0.0870813i	$0.972246\pi$
$948$	−35.3658	−	3.09411i	−1.14863	−	0.100492i
$949$	−24.1303			−0.783303
$950$	−23.7882	+	48.3595i	−0.771792	+	1.56899i
$951$	16.4852			0.534569
$952$	27.0518	+	2.36672i	0.876753	+	0.0767060i
$953$	29.4153	−	13.7166i	0.952855	−	0.444324i	0.116914	−	0.993142i	$-0.462700\pi$
$953$	29.4153	−	13.7166i	0.952855	−	0.444324i	0.835942	+	0.548818i	$0.184922\pi$
$954$	−45.3123	−	7.98978i	−1.46704	−	0.258679i
$955$	25.9738	+	15.5567i	0.840491	+	0.503404i
$956$	−56.9598	+	20.7317i	−1.84221	+	0.670510i
$957$	0.242913	+	0.906564i	0.00785226	+	0.0293050i
$958$	68.1141	+	18.2511i	2.20067	+	0.589667i
$959$	−0.812272	+	0.968029i	−0.0262296	+	0.0312593i
$960$	−6.60579	−	4.78515i	−0.213201	−	0.154440i
$961$	−6.43945	−	11.1534i	−0.207724	−	0.359789i
$962$	20.3929	−	5.46425i	0.657492	−	0.176175i
$963$	−20.1361	+	43.1821i	−0.648878	+	1.39152i
$964$	14.4028	+	81.6824i	0.463883	+	2.63081i
$965$	33.7599	+	3.50013i	1.08677	+	0.112673i
$966$	9.52587	+	3.46713i	0.306490	+	0.111553i
$967$	−1.08658	+	12.4197i	−0.0349422	+	0.399391i	0.958503	+	0.285082i	$0.0920209\pi$
$967$	−1.08658	+	12.4197i	−0.0349422	+	0.399391i	−0.993445	+	0.114309i	$0.963535\pi$
$968$	68.2769	−	68.2769i	2.19450	−	2.19450i
$969$	−2.00643	+	3.56746i	−0.0644559	+	0.114603i
$970$	−56.6095	−	49.0698i	−1.81762	−	1.57554i
$971$	32.5288	+	38.7663i	1.04390	+	1.24407i	0.969047	+	0.246875i	$0.0794039\pi$
$971$	32.5288	+	38.7663i	1.04390	+	1.24407i	0.0748516	+	0.997195i	$0.476152\pi$
$972$	22.7206	+	48.7245i	0.728763	+	1.56284i
$973$	−10.7265	+	7.51076i	−0.343875	+	0.240784i
$974$	−38.5326	+	6.79433i	−1.23466	+	0.217704i
$975$	4.83596	−	2.58887i	0.154875	−	0.0829101i
$976$	13.5487	−	23.4671i	0.433684	−	0.751162i
$977$	8.10975	−	30.2660i	0.259454	−	0.968296i	−0.706104	−	0.708108i	$-0.749549\pi$
$977$	8.10975	−	30.2660i	0.259454	−	0.968296i	0.965558	−	0.260188i	$-0.0837844\pi$
$978$	−0.169243	−	1.93445i	−0.00541178	−	0.0618569i
$979$	16.7924	+	14.0905i	0.536688	+	0.450334i
$980$	23.3599	+	4.50648i	0.746204	+	0.143954i
$981$	−11.0046	−	6.35348i	−0.351348	−	0.202851i
$982$	−0.196300	−	0.0915364i	−0.00626420	−	0.00292104i
$983$	17.9317	+	12.5559i	0.571934	+	0.400472i	0.823457	−	0.567379i	$-0.192043\pi$
$983$	17.9317	+	12.5559i	0.571934	+	0.400472i	−0.251523	+	0.967851i	$0.580931\pi$
$984$	−5.40333	+	30.6438i	−0.172252	+	0.976890i
$985$	−4.06752	+	14.2611i	−0.129602	+	0.454396i
$986$	−0.981192	+	0.823318i	−0.0312475	+	0.0262198i
$987$	3.59695	+	3.59695i	0.114492	+	0.114492i
$988$	34.9755	−	3.45742i	1.11272	−	0.109995i
$989$		−	13.5482i		−	0.430806i
$990$	−56.0950	−	57.9242i	−1.78282	−	1.84095i
$991$	18.6813	−	51.3264i	0.593431	−	1.63044i	−0.170661	−	0.985330i	$-0.554590\pi$
$991$	18.6813	−	51.3264i	0.593431	−	1.63044i	0.764092	−	0.645107i	$-0.223187\pi$
$992$	2.85177	+	4.07275i	0.0905438	+	0.129310i
$993$	3.28648	−	4.69358i	0.104293	−	0.148946i
$994$	−23.3022	−	64.0221i	−0.739100	−	2.03066i
$995$	−38.5693	+	13.3414i	−1.22273	+	0.422951i
$996$	−7.57296	+	4.37225i	−0.239958	+	0.138540i
$997$	−40.6095	+	3.55287i	−1.28612	+	0.112521i	−0.709624	−	0.704581i	$-0.751135\pi$
$997$	−40.6095	+	3.55287i	−1.28612	+	0.112521i	−0.576494	+	0.817102i	$0.695579\pi$
$998$	19.6742	−	1.72127i	0.622774	−	0.0544857i
$999$	12.0131	−	6.93574i	0.380076	−	0.219437i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.r.a.13.1	yes	96
3.2	odd	2		855.2.dl.a.298.8		96
5.2	odd	4	inner	95.2.r.a.32.8	yes	96
5.3	odd	4		475.2.bb.b.32.1		96
5.4	even	2		475.2.bb.b.393.8		96
15.2	even	4		855.2.dl.a.127.1		96
19.3	odd	18	inner	95.2.r.a.3.8	✓	96
57.41	even	18		855.2.dl.a.478.1		96
95.3	even	36		475.2.bb.b.307.8		96
95.22	even	36	inner	95.2.r.a.22.1	yes	96
95.79	odd	18		475.2.bb.b.193.1		96
285.212	odd	36		855.2.dl.a.307.8		96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.r.a.3.8	✓	96	19.3	odd	18	inner
95.2.r.a.13.1	yes	96	1.1	even	1	trivial
95.2.r.a.22.1	yes	96	95.22	even	36	inner
95.2.r.a.32.8	yes	96	5.2	odd	4	inner
475.2.bb.b.32.1		96	5.3	odd	4
475.2.bb.b.193.1		96	95.79	odd	18
475.2.bb.b.307.8		96	95.3	even	36
475.2.bb.b.393.8		96	5.4	even	2
855.2.dl.a.127.1		96	15.2	even	4
855.2.dl.a.298.8		96	3.2	odd	2
855.2.dl.a.307.8		96	285.212	odd	36
855.2.dl.a.478.1		96	57.41	even	18

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.r (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.46340 - 0.215520i) q^{2} +(-0.507407 + 0.236608i) q^{3} +(4.05227 + 0.714525i) q^{4} +(-1.91831 - 1.14895i) q^{5} +(1.30094 - 0.473503i) q^{6} +(0.801323 + 2.99058i) q^{7} +(-5.05128 - 1.35349i) q^{8} +(-1.72688 + 2.05802i) q^{9} +(4.47794 + 3.24376i) q^{10} +(2.71405 + 4.70087i) q^{11} +(-2.22521 + 0.596244i) q^{12} +(-0.828132 + 1.77593i) q^{13} +(-1.32945 - 7.53969i) q^{14} +(1.24521 + 0.129100i) q^{15} +(4.41834 + 1.60814i) q^{16} +(-0.146177 + 1.67081i) q^{17} +(4.69755 - 4.69755i) q^{18} +(-2.83929 - 3.30733i) q^{19} +(-6.95256 - 6.02655i) q^{20} +(-1.11419 - 1.32784i) q^{21} +(-5.67266 - 12.1651i) q^{22} +(1.93732 - 1.35652i) q^{23} +(2.88330 - 0.508403i) q^{24} +(2.35981 + 4.40809i) q^{25} +(2.42277 - 4.19636i) q^{26} +(0.823998 - 3.07520i) q^{27} +(1.11034 + 12.6912i) q^{28} +(-0.236581 - 0.198515i) q^{29} +(-3.03964 - 0.586393i) q^{30} +(-3.68657 - 2.12844i) q^{31} +(-1.05854 - 0.493605i) q^{32} +(-2.48939 - 1.74309i) q^{33} +(0.720185 - 4.08437i) q^{34} +(1.89885 - 6.65753i) q^{35} +(-8.46832 + 7.10576i) q^{36} +(3.08090 + 3.08090i) q^{37} +(6.28150 + 8.75921i) q^{38} -1.09706i q^{39} +(8.13481 + 8.40008i) q^{40} +(-3.63501 + 9.98710i) q^{41} +(2.45852 + 3.51113i) q^{42} +(3.28576 - 4.69255i) q^{43} +(7.63918 + 20.9885i) q^{44} +(5.67727 - 1.96381i) q^{45} +(-5.06474 + 2.92413i) q^{46} +(-2.92349 + 0.255773i) q^{47} +(-2.62240 + 0.229430i) q^{48} +(-2.23925 + 1.29283i) q^{49} +(-4.86313 - 11.3675i) q^{50} +(-0.321156 - 0.882368i) q^{51} +(-4.62477 + 6.60485i) q^{52} +(-3.97255 - 5.67339i) q^{53} +(-2.69260 + 7.39787i) q^{54} +(0.194697 - 12.1360i) q^{55} -16.1908i q^{56} +(2.22321 + 1.00637i) q^{57} +(0.540010 + 0.540010i) q^{58} +(-1.92632 + 1.61638i) q^{59} +(4.95370 + 1.41289i) q^{60} +(1.00075 - 5.67553i) q^{61} +(8.62279 + 6.03774i) q^{62} +(-7.53846 - 3.51524i) q^{63} +(-5.64270 - 3.25782i) q^{64} +(3.62908 - 2.45530i) q^{65} +(5.75669 + 4.83044i) q^{66} +(0.197751 + 2.26031i) q^{67} +(-1.78619 + 6.66614i) q^{68} +(-0.662044 + 1.14669i) q^{69} +(-6.11245 + 15.9909i) q^{70} +(8.76383 - 1.54530i) q^{71} +(11.5085 - 8.05832i) q^{72} +(5.20427 + 11.1606i) q^{73} +(-6.92550 - 8.25349i) q^{74} +(-2.24038 - 1.67835i) q^{75} +(-9.14239 - 15.4310i) q^{76} +(-11.8835 + 11.8835i) q^{77} +(-0.236439 + 2.70251i) q^{78} +(14.4810 + 5.27064i) q^{79} +(-6.62806 - 8.16138i) q^{80} +(-1.09003 - 6.18188i) q^{81} +(11.1069 - 23.8188i) q^{82} +(3.66649 - 0.982433i) q^{83} +(-3.56623 - 6.17689i) q^{84} +(2.20010 - 3.03718i) q^{85} +(-9.10547 + 10.8515i) q^{86} +(0.167013 + 0.0447510i) q^{87} +(-7.34685 - 27.4188i) q^{88} +(3.79487 - 1.38122i) q^{89} +(-14.4086 + 3.61408i) q^{90} +(-5.97467 - 1.05350i) q^{91} +(8.81981 - 4.11274i) q^{92} +(2.37420 + 0.207716i) q^{93} +7.25686 q^{94} +(1.64666 + 9.60669i) q^{95} +0.653901 q^{96} +(-13.4973 - 1.18086i) q^{97} +(5.79481 - 2.70216i) q^{98} +(-14.3613 - 2.53229i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8} - 12 q^{10} - 12 q^{11} - 18 q^{12} - 12 q^{13} + 6 q^{15} + 12 q^{16} - 30 q^{17} - 84 q^{20} + 24 q^{21} - 24 q^{22} + 12 q^{25} - 48 q^{26}+ \cdots - 90 q^{98}+O(q^{100}) \) 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8 - 12 * q^10 - 12 * q^11 - 18 * q^12 - 12 * q^13 + 6 * q^15 + 12 * q^16 - 30 * q^17 - 84 * q^20 + 24 * q^21 - 24 * q^22 + 12 * q^25 - 48 * q^26 - 18 * q^27 - 6 * q^30 - 36 * q^31 + 18 * q^32 + 90 * q^33 - 30 * q^35 + 24 * q^36 + 54 * q^38 + 54 * q^40 + 12 * q^41 + 24 * q^42 + 48 * q^43 + 12 * q^45 - 36 * q^46 - 24 * q^47 + 60 * q^48 + 126 * q^50 - 96 * q^51 - 30 * q^53 + 18 * q^55 - 66 * q^57 + 120 * q^58 + 84 * q^60 - 48 * q^61 + 60 * q^62 - 126 * q^63 + 72 * q^65 + 72 * q^66 + 108 * q^67 + 18 * q^68 + 36 * q^70 - 24 * q^71 + 48 * q^72 + 6 * q^73 + 60 * q^76 + 168 * q^77 - 138 * q^78 - 60 * q^80 - 120 * q^81 + 60 * q^82 - 36 * q^85 - 180 * q^86 - 6 * q^87 - 198 * q^88 - 270 * q^90 - 24 * q^91 - 72 * q^92 - 90 * q^93 - 24 * q^95 - 192 * q^96 - 72 * q^97 - 90 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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