LMFDB - Embedded newform 95.2.r.a.32.8

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			32.8
Character	$\chi$	$=$	95.32
Dual form			95.2.r.a.3.8

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.215520 - 2.46340i) q^{2} +(0.236608 + 0.507407i) q^{3} +(-4.05227 - 0.714525i) q^{4} +(1.40966 - 1.73576i) q^{5} +(1.30094 - 0.473503i) q^{6} +(-2.99058 + 0.801323i) q^{7} +(-1.35349 + 5.05128i) q^{8} +(1.72688 - 2.05802i) q^{9} +(-3.97207 - 3.84663i) q^{10} +(2.71405 + 4.70087i) q^{11} +(-0.596244 - 2.22521i) q^{12} +(1.77593 + 0.828132i) q^{13} +(1.32945 + 7.53969i) q^{14} +(1.21427 + 0.304574i) q^{15} +(4.41834 + 1.60814i) q^{16} +(-1.67081 - 0.146177i) 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} +(12.1651 - 5.67266i) q^{22} +(-1.35652 - 1.93732i) q^{23} +(-2.88330 + 0.508403i) q^{24} +(-1.02575 - 4.89365i) q^{25} +(2.42277 - 4.19636i) q^{26} +(3.07520 + 0.823998i) q^{27} +(12.6912 - 1.11034i) q^{28} +(0.236581 + 0.198515i) q^{29} +(1.01199 - 2.92560i) q^{30} +(-3.68657 - 2.12844i) q^{31} +(0.493605 - 1.05854i) q^{32} +(-1.74309 + 2.48939i) q^{33} +(-0.720185 + 4.08437i) q^{34} +(-2.82478 + 6.32052i) q^{35} +(-8.46832 + 7.10576i) q^{36} +(-3.08090 + 3.08090i) q^{37} +(8.75921 - 6.28150i) q^{38} +1.09706i q^{39} +(6.85987 + 9.46989i) q^{40} +(-3.63501 + 9.98710i) q^{41} +(-3.51113 + 2.45852i) q^{42} +(-4.69255 - 3.28576i) q^{43} +(-7.63918 - 20.9885i) q^{44} +(-1.13792 - 5.89856i) q^{45} +(-5.06474 + 2.92413i) q^{46} +(-0.255773 - 2.92349i) q^{47} +(0.229430 + 2.62240i) q^{48} +(2.23925 - 1.29283i) q^{49} +(-12.2761 + 1.47214i) q^{50} +(-0.321156 - 0.882368i) q^{51} +(-6.60485 - 4.62477i) q^{52} +(-5.67339 + 3.97255i) q^{53} +(2.69260 - 7.39787i) q^{54} +(11.9855 + 1.91566i) q^{55} -16.1908i q^{56} +(-1.00637 + 2.22321i) q^{57} +(0.540010 - 0.540010i) q^{58} +(1.92632 - 1.61638i) q^{59} +(-4.70294 - 2.10185i) q^{60} +(1.00075 - 5.67553i) q^{61} +(-6.03774 + 8.62279i) q^{62} +(-3.51524 + 7.53846i) q^{63} +(5.64270 + 3.25782i) q^{64} +(3.94089 - 1.91522i) q^{65} +(5.75669 + 4.83044i) q^{66} +(-2.26031 + 0.197751i) q^{67} +(6.66614 + 1.78619i) q^{68} +(0.662044 - 1.14669i) q^{69} +(14.9612 + 8.32075i) q^{70} +(8.76383 - 1.54530i) q^{71} +(8.05832 + 11.5085i) q^{72} +(11.1606 - 5.20427i) 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} +(2.70251 + 0.236439i) q^{78} +(-14.4810 - 5.27064i) q^{79} +(9.01969 - 5.40226i) q^{80} +(-1.09003 - 6.18188i) q^{81} +(23.8188 + 11.1069i) q^{82} +(-0.982433 - 3.66649i) q^{83} +(3.56623 + 6.17689i) q^{84} +(-2.60900 + 2.69407i) q^{85} +(-9.10547 + 10.8515i) q^{86} +(-0.0447510 + 0.167013i) q^{87} +(-27.4188 + 7.34685i) q^{88} +(-3.79487 + 1.38122i) q^{89} +(-14.7758 + 1.53191i) q^{90} +(-5.97467 - 1.05350i) q^{91} +(4.11274 + 8.81981i) q^{92} +(0.207716 - 2.37420i) q^{93} -7.25686 q^{94} +(9.74316 - 0.266128i) q^{95} +0.653901 q^{96} +(1.18086 - 13.4973i) q^{97} +(-2.70216 - 5.79481i) 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 $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	0.215520	−	2.46340i	0.152395	−	1.74189i	−0.407395	−	0.913252i	$-0.633563\pi$
$2$	0.215520	−	2.46340i	0.152395	−	1.74189i	0.559790	−	0.828634i	$-0.310882\pi$
$3$	0.236608	+	0.507407i	0.136606	+	0.292952i	0.962696	−	0.270586i	$-0.0872176\pi$
$3$	0.236608	+	0.507407i	0.136606	+	0.292952i	−0.826090	+	0.563538i	$0.809440\pi$
$4$	−4.05227	−	0.714525i	−2.02614	−	0.357263i
$5$	1.40966	−	1.73576i	0.630417	−	0.776257i
$5$	1.40966	−	1.73576i	0.630417	−	0.776257i
$6$	1.30094	−	0.473503i	0.531107	−	0.193307i
$7$	−2.99058	+	0.801323i	−1.13033	+	0.302871i	−0.775058	−	0.631891i	$-0.782279\pi$
$7$	−2.99058	+	0.801323i	−1.13033	+	0.302871i	−0.355274	+	0.934762i	$0.615613\pi$
$8$	−1.35349	+	5.05128i	−0.478529	+	1.78590i
$9$	1.72688	−	2.05802i	0.575628	−	0.686007i
$10$	−3.97207	−	3.84663i	−1.25608	−	1.21641i
$11$	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	$0.528241\pi$
$12$	−0.596244	−	2.22521i	−0.172121	−	0.642364i
$13$	1.77593	+	0.828132i	0.492556	+	0.229682i	0.652993	−	0.757364i	$-0.273513\pi$
$13$	1.77593	+	0.828132i	0.492556	+	0.229682i	−0.160438	+	0.987046i	$0.551291\pi$
$14$	1.32945	+	7.53969i	0.355311	+	2.01507i
$15$	1.21427	+	0.304574i	0.313524	+	0.0786406i
$16$	4.41834	+	1.60814i	1.10458	+	0.402036i
$17$	−1.67081	−	0.146177i	−0.405231	−	0.0354531i	−0.117282	−	0.993099i	$-0.537418\pi$
$17$	−1.67081	−	0.146177i	−0.405231	−	0.0354531i	−0.287950	+	0.957646i	$0.592974\pi$
$18$	−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
$22$	12.1651	−	5.67266i	2.59360	−	1.20941i
$23$	−1.35652	−	1.93732i	−0.282855	−	0.403958i	0.652433	−	0.757846i	$-0.273748\pi$
$23$	−1.35652	−	1.93732i	−0.282855	−	0.403958i	−0.935288	+	0.353888i	$0.884859\pi$
$24$	−2.88330	+	0.508403i	−0.588551	+	0.103777i
$25$	−1.02575	−	4.89365i	−0.205149	−	0.978731i
$26$	2.42277	−	4.19636i	0.475144	−	0.822973i
$27$	3.07520	+	0.823998i	0.591823	+	0.158579i
$28$	12.6912	−	1.11034i	2.39841	−	0.209834i
$29$	0.236581	+	0.198515i	0.0439320	+	0.0368633i	0.664489	−	0.747298i	$-0.268649\pi$
$29$	0.236581	+	0.198515i	0.0439320	+	0.0368633i	−0.620557	+	0.784161i	$0.713094\pi$
$30$	1.01199	−	2.92560i	0.184763	−	0.534139i
$31$	−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	$0.791528\pi$
$32$	0.493605	−	1.05854i	0.0872578	−	0.187125i
$33$	−1.74309	+	2.48939i	−0.303433	+	0.433347i
$34$	−0.720185	+	4.08437i	−0.123511	+	0.700464i
$35$	−2.82478	+	6.32052i	−0.477474	+	1.06836i
$36$	−8.46832	+	7.10576i	−1.41139	+	1.18429i
$37$	−3.08090	+	3.08090i	−0.506497	+	0.506497i	−0.913449	−	0.406952i	$-0.866591\pi$
$37$	−3.08090	+	3.08090i	−0.506497	+	0.506497i	0.406952	+	0.913449i	$0.366591\pi$
$38$	8.75921	−	6.28150i	1.42093	−	1.01899i
$39$			1.09706i			0.175671i
$40$	6.85987	+	9.46989i	1.08464	+	1.49732i
$41$	−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	$0.799502\pi$
$42$	−3.51113	+	2.45852i	−0.541779	+	0.379358i
$43$	−4.69255	−	3.28576i	−0.715607	−	0.501073i	0.158163	−	0.987413i	$-0.449443\pi$
$43$	−4.69255	−	3.28576i	−0.715607	−	0.501073i	−0.873770	+	0.486340i	$0.838332\pi$
$44$	−7.63918	−	20.9885i	−1.15165	−	3.16413i
$45$	−1.13792	−	5.89856i	−0.169632	−	0.879305i
$46$	−5.06474	+	2.92413i	−0.746756	+	0.431139i
$47$	−0.255773	−	2.92349i	−0.0373083	−	0.426435i	−0.991764	−	0.128082i	$-0.959118\pi$
$47$	−0.255773	−	2.92349i	−0.0373083	−	0.426435i	0.954455	−	0.298354i	$-0.0964375\pi$
$48$	0.229430	+	2.62240i	0.0331154	+	0.378510i
$49$	2.23925	−	1.29283i	0.319893	−	0.184691i
$50$	−12.2761	+	1.47214i	−1.73610	+	0.208192i
$51$	−0.321156	−	0.882368i	−0.0449708	−	0.123556i
$52$	−6.60485	−	4.62477i	−0.915928	−	0.641340i
$53$	−5.67339	+	3.97255i	−0.779300	+	0.545672i	−0.894180	−	0.447707i	$-0.852241\pi$
$53$	−5.67339	+	3.97255i	−0.779300	+	0.545672i	0.114880	+	0.993379i	$0.463352\pi$
$54$	2.69260	−	7.39787i	0.366417	−	1.00672i
$55$	11.9855	+	1.91566i	1.61612	+	0.258308i
$56$		−	16.1908i		−	2.16359i
$57$	−1.00637	+	2.22321i	−0.133297	+	0.294472i
$58$	0.540010	−	0.540010i	0.0709068	−	0.0709068i
$59$	1.92632	−	1.61638i	0.250786	−	0.210435i	−0.508725	−	0.860929i	$-0.669883\pi$
$59$	1.92632	−	1.61638i	0.250786	−	0.210435i	0.759511	+	0.650495i	$0.225438\pi$
$60$	−4.70294	−	2.10185i	−0.607147	−	0.271347i
$61$	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	$-0.0647249\pi$
$62$	−6.03774	+	8.62279i	−0.766794	+	1.09509i
$63$	−3.51524	+	7.53846i	−0.442879	+	0.949757i
$64$	5.64270	+	3.25782i	0.705338	+	0.407227i
$65$	3.94089	−	1.91522i	0.488808	−	0.237554i
$66$	5.75669	+	4.83044i	0.708600	+	0.594586i
$67$	−2.26031	+	0.197751i	−0.276141	+	0.0241592i	−0.224385	−	0.974501i	$-0.572037\pi$
$67$	−2.26031	+	0.197751i	−0.276141	+	0.0241592i	−0.0517558	+	0.998660i	$0.516482\pi$
$68$	6.66614	+	1.78619i	0.808388	+	0.216607i
$69$	0.662044	−	1.14669i	0.0797007	−	0.138046i
$70$	14.9612	+	8.32075i	1.78820	+	0.994520i
$71$	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	$0.267364\pi$
$72$	8.05832	+	11.5085i	0.949682	+	1.35629i
$73$	11.1606	−	5.20427i	1.30625	−	0.609114i	0.360121	−	0.932906i	$-0.382735\pi$
$73$	11.1606	−	5.20427i	1.30625	−	0.609114i	0.946129	+	0.323791i	$0.104958\pi$
$74$	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
$78$	2.70251	+	0.236439i	0.305999	+	0.0267714i
$79$	−14.4810	−	5.27064i	−1.62924	−	0.592993i	−0.644125	−	0.764920i	$-0.722779\pi$
$79$	−14.4810	−	5.27064i	−1.62924	−	0.592993i	−0.985110	+	0.171927i	$0.945001\pi$
$80$	9.01969	−	5.40226i	1.00843	−	0.603991i
$81$	−1.09003	−	6.18188i	−0.121115	−	0.686875i
$82$	23.8188	+	11.1069i	2.63035	+	1.22655i
$83$	−0.982433	−	3.66649i	−0.107836	−	0.402449i	0.890815	−	0.454365i	$-0.150134\pi$
$83$	−0.982433	−	3.66649i	−0.107836	−	0.402449i	−0.998651	+	0.0519158i	$0.983467\pi$
$84$	3.56623	+	6.17689i	0.389108	+	0.673954i
$85$	−2.60900	+	2.69407i	−0.282985	+	0.292213i
$86$	−9.10547	+	10.8515i	−0.981868	+	1.17014i
$87$	−0.0447510	+	0.167013i	−0.00479781	+	0.0179057i
$88$	−27.4188	+	7.34685i	−2.92286	+	0.783177i
$89$	−3.79487	+	1.38122i	−0.402256	+	0.146409i	−0.535222	−	0.844711i	$-0.679772\pi$
$89$	−3.79487	+	1.38122i	−0.402256	+	0.146409i	0.132966	+	0.991121i	$0.457550\pi$
$90$	−14.7758	+	1.53191i	−1.55750	+	0.161477i
$91$	−5.97467	−	1.05350i	−0.626315	−	0.110436i
$92$	4.11274	+	8.81981i	0.428783	+	0.919529i
$93$	0.207716	−	2.37420i	0.0215391	−	0.246193i
$94$	−7.25686			−0.748488
$95$	9.74316	−	0.266128i	0.999627	−	0.0273041i
$96$	0.653901			0.0667385
$97$	1.18086	−	13.4973i	0.119898	−	1.37044i	−0.663153	−	0.748484i	$-0.730782\pi$
$97$	1.18086	−	13.4973i	0.119898	−	1.37044i	0.783051	−	0.621957i	$-0.213662\pi$
$98$	−2.70216	−	5.79481i	−0.272960	−	0.585364i
$99$	14.3613	+	2.53229i	1.44337	+	0.254505i
$100$	0.659961	+	20.5633i	0.0659961	+	2.05633i
$101$	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	$0.130835\pi$
$102$	−2.24284	+	0.600967i	−0.222074	+	0.0595046i
$103$	−1.29704	+	4.84062i	−0.127801	+	0.476961i	−0.999924	−	0.0123263i	$-0.996076\pi$
$103$	−1.29704	+	4.84062i	−0.127801	+	0.476961i	0.872123	+	0.489287i	$0.162743\pi$
$104$	−6.58682	+	7.84987i	−0.645891	+	0.769743i
$105$	−3.87544	+	0.0621733i	−0.378204	+	0.00606749i
$106$	8.56326	+	14.8320i	0.831737	+	1.44061i
$107$	4.59016	+	17.1307i	0.443748	+	1.65609i	0.719221	+	0.694781i	$0.244499\pi$
$107$	4.59016	+	17.1307i	0.443748	+	1.65609i	−0.275473	+	0.961309i	$0.588835\pi$
$108$	−11.8728	−	5.53638i	−1.14246	−	0.532738i
$109$	−0.821327	−	4.65798i	−0.0786689	−	0.446154i	−0.998544	−	0.0539422i	$-0.982821\pi$
$109$	−0.821327	−	4.65798i	−0.0786689	−	0.446154i	0.919875	−	0.392211i	$-0.128290\pi$
$110$	7.30214	−	29.1121i	0.696232	−	2.77573i
$111$	−2.29224	−	0.834306i	−0.217569	−	0.0791888i
$112$	−14.5020	−	1.26876i	−1.37031	−	0.119887i
$113$	7.55406	+	7.55406i	0.710626	+	0.710626i	0.966666	−	0.256040i	$-0.0824180\pi$
$113$	7.55406	+	7.55406i	0.710626	+	0.710626i	−0.256040	+	0.966666i	$0.582418\pi$
$114$	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
$117$	4.77114	−	2.22482i	0.441092	−	0.205685i
$118$	−3.56662	−	5.09367i	−0.328334	−	0.468910i
$119$	5.11382	−	0.901705i	0.468783	−	0.0826592i
$120$	−3.18199	+	5.72140i	−0.290474	+	0.522290i
$121$	−9.23212	+	15.9905i	−0.839283	+	1.45368i
$122$	−13.7654	−	3.68843i	−1.24626	−	0.333935i
$123$	−5.92760	+	0.518597i	−0.534473	+	0.0467604i
$124$	13.4182	+	11.2592i	1.20499	+	1.01111i
$125$	−9.94017	−	5.11791i	−0.889076	−	0.457760i
$126$	17.8126	+	10.2841i	1.58688	+	0.916183i
$127$	−4.83242	+	10.3632i	−0.428808	+	0.919582i	0.566612	+	0.823985i	$0.308254\pi$
$127$	−4.83242	+	10.3632i	−0.428808	+	0.919582i	−0.995420	+	0.0955972i	$0.969524\pi$
$128$	10.5813	−	15.1116i	0.935260	−	1.33569i
$129$	0.556923	−	3.15847i	0.0490343	−	0.278087i
$130$	−3.86861	−	10.1208i	−0.339300	−	0.887650i
$131$	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
$133$	−11.1413	−	7.61565i	−0.966077	−	0.660361i
$134$			5.61067i			0.484688i
$135$	5.76524	−	4.17627i	0.496193	−	0.359436i
$136$	2.99980	−	8.24188i	0.257231	−	0.706735i
$137$	−0.334339	+	0.234107i	−0.0285645	+	0.0200011i	−0.587772	−	0.809027i	$-0.699995\pi$
$137$	−0.334339	+	0.234107i	−0.0285645	+	0.0200011i	0.559207	+	0.829028i	$0.311106\pi$
$138$	−2.68208	−	1.87801i	−0.228314	−	0.159867i
$139$	−1.44655	−	3.97436i	−0.122695	−	0.337101i	0.863105	−	0.505024i	$-0.168516\pi$
$139$	−1.44655	−	3.97436i	−0.122695	−	0.337101i	−0.985800	+	0.167923i	$0.946294\pi$
$140$	15.9629	−	23.5941i	1.34911	−	1.99407i
$141$	1.42288	−	0.821502i	0.119828	−	0.0691830i
$142$	−1.91791	−	21.9219i	−0.160948	−	1.83964i
$143$	0.927032	+	10.5960i	0.0775223	+	0.886084i
$144$	10.9396	−	6.31595i	0.911629	−	0.526330i
$145$	0.678073	−	0.130811i	0.0563109	−	0.0108632i
$146$	−10.4149	−	28.6146i	−0.861942	−	2.36817i
$147$	1.18582	+	0.830319i	0.0978046	+	0.0684835i
$148$	14.6860	−	10.2833i	1.20718	−	0.845280i
$149$	−1.86104	+	5.11315i	−0.152462	+	0.418886i	−0.992286	−	0.123974i	$-0.960436\pi$
$149$	−1.86104	+	5.11315i	−0.152462	+	0.418886i	0.839824	+	0.542860i	$0.182658\pi$
$150$	−3.65159	−	5.88066i	−0.298151	−	0.480154i
$151$		−	8.25723i		−	0.671964i	−0.941868	−	0.335982i	$-0.890932\pi$
$151$		−	8.25723i		−	0.671964i	0.941868	−	0.335982i	$-0.109068\pi$
$152$	−20.5492	+	9.86559i	−1.66676	+	0.800205i
$153$	−3.18613	+	3.18613i	−0.257584	+	0.257584i
$154$	−31.8349	+	26.7126i	−2.56533	+	2.15257i
$155$	−8.89127	+	3.39865i	−0.714164	+	0.272986i
$156$	0.783880	−	4.44560i	0.0627606	−	0.355933i
$157$	7.41820	−	10.5943i	0.592037	−	0.845516i	−0.405612	−	0.914045i	$-0.632942\pi$
$157$	7.41820	−	10.5943i	0.592037	−	0.845516i	0.997649	+	0.0685291i	$0.0218306\pi$
$158$	−16.1046	+	34.5365i	−1.28121	+	2.74757i
$159$	−3.35807	−	1.93878i	−0.266312	−	0.153755i
$160$	−1.14156	−	2.34896i	−0.0902482	−	0.185701i
$161$	5.60920	+	4.70668i	0.442067	+	0.370938i
$162$	−15.4634	+	1.35287i	−1.21492	+	0.106291i
$163$	−1.35483	−	0.363027i	−0.106119	−	0.0284344i	0.205369	−	0.978685i	$-0.434161\pi$
$163$	−1.35483	−	0.363027i	−0.106119	−	0.0284344i	−0.311488	+	0.950250i	$0.600827\pi$
$164$	21.8661	−	37.8732i	1.70745	−	2.95740i
$165$	1.86384	+	6.53477i	0.145099	+	0.508731i
$166$	−9.24376	+	1.62992i	−0.717455	+	0.126507i
$167$	3.74723	+	5.35159i	0.289969	+	0.414119i	0.937535	−	0.347891i	$-0.113102\pi$
$167$	3.74723	+	5.35159i	0.289969	+	0.414119i	−0.647566	+	0.762009i	$0.724213\pi$
$168$	8.21533	−	3.83087i	0.633826	−	0.295558i
$169$	−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
$173$	1.13979	+	0.0997187i	0.0866566	+	0.00758147i	0.130402	−	0.991461i	$-0.458373\pi$
$173$	1.13979	+	0.0997187i	0.0866566	+	0.00758147i	−0.0437450	+	0.999043i	$0.513929\pi$
$174$	0.401775	+	0.146234i	0.0304585	+	0.0110860i
$175$	6.98897	+	13.8129i	0.528316	+	1.04416i
$176$	4.43191	+	25.1346i	0.334068	+	1.89459i
$177$	1.27594	+	0.594983i	0.0959059	+	0.0447217i
$178$	2.58463	+	9.64597i	0.193726	+	0.722996i
$179$	−5.29184	−	9.16573i	−0.395531	−	0.685079i	0.597638	−	0.801766i	$-0.296106\pi$
$179$	−5.29184	−	9.16573i	−0.395531	−	0.685079i	−0.993169	+	0.116687i	$0.962773\pi$
$180$	0.396511	+	24.7157i	0.0295542	+	1.84220i
$181$	−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	$0.267310\pi$
$182$	−3.88284	+	14.4909i	−0.287815	+	1.07414i
$183$	3.11659	−	0.835087i	0.230385	−	0.0617314i
$184$	11.6220	−	4.23005i	0.856782	−	0.311843i
$185$	1.00471	+	9.69072i	0.0738674	+	0.712476i
$186$	−5.80384	−	1.02337i	−0.425558	−	0.0750374i
$187$	−3.84750	−	8.25100i	−0.281357	−	0.603373i
$188$	−1.05245	+	12.0296i	−0.0767578	+	0.877345i
$189$	−9.85692			−0.716985
$190$	1.44426	−	24.0587i	0.104778	−	1.74540i
$191$	−13.5399			−0.979715			−0.489857	−	0.871803i	$-0.662951\pi$
$191$	−13.5399			−0.979715			−0.489857	+	0.871803i	$0.662951\pi$
$192$	−0.317931	+	3.63397i	−0.0229447	+	0.262259i
$193$	6.41484	+	13.7567i	0.461750	+	0.990227i	0.989991	+	0.141132i	$0.0450742\pi$
$193$	6.41484	+	13.7567i	0.461750	+	0.990227i	−0.528241	+	0.849095i	$0.677148\pi$
$194$	−32.9947	−	5.81785i	−2.36888	−	0.417698i
$195$	1.90424	+	1.54648i	0.136366	+	0.110746i
$196$	−9.99783	+	3.63891i	−0.714131	+	0.259922i
$197$	6.40611	−	1.71651i	0.456416	−	0.122296i	−0.0232837	−	0.999729i	$-0.507412\pi$
$197$	6.40611	−	1.71651i	0.456416	−	0.122296i	0.479700	+	0.877432i	$0.340745\pi$
$198$	9.33319	−	34.8319i	0.663281	−	2.47540i
$199$	−11.7318	+	13.9814i	−0.831646	+	0.991118i	0.168339	+	0.985729i	$0.446160\pi$
$199$	−11.7318	+	13.9814i	−0.831646	+	0.991118i	−0.999985	+	0.00538842i	$0.998285\pi$
$200$	26.1075	+	1.44217i	1.84608	+	0.101977i
$201$	−0.635147	−	1.10011i	−0.0447998	−	0.0775956i
$202$	−9.32348	−	34.7957i	−0.655998	−	2.44822i
$203$	−0.866589	−	0.404097i	−0.0608226	−	0.0283620i
$204$	0.670937	+	3.80507i	0.0469750	+	0.266408i
$205$	12.2111	+	20.3879i	0.852862	+	1.42395i
$206$	11.6449	+	4.23838i	0.811336	+	0.295302i
$207$	−6.32960	−	0.553768i	−0.439937	−	0.0384895i
$208$	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	$0.956127\pi$
$212$	25.8286	−	12.0441i	1.77392	−	0.827191i
$213$	2.85769	+	4.08120i	0.195805	+	0.279639i
$214$	43.1891	−	7.61540i	2.95235	−	0.520578i
$215$	−12.3182	+	3.51336i	−0.840092	+	0.239609i
$216$	−8.32448	+	14.4184i	−0.566409	+	0.981050i
$217$	12.7306	+	3.41114i	0.864206	+	0.231563i
$218$	−11.6515	+	1.01937i	−0.789138	+	0.0690406i
$219$	5.28137	+	4.43160i	0.356882	+	0.299460i
$220$	−47.1996	−	16.3267i	−3.18220	−	1.10075i
$221$	−2.84620	−	1.64325i	−0.191456	−	0.110537i
$222$	−2.54925	+	5.46688i	−0.171094	+	0.366913i
$223$	6.84931	−	9.78183i	0.458664	−	0.655040i	−0.521495	−	0.853254i	$-0.674625\pi$
$223$	6.84931	−	9.78183i	0.458664	−	0.655040i	0.980159	+	0.198215i	$0.0635143\pi$
$224$	−0.627932	+	3.56118i	−0.0419555	+	0.237941i
$225$	−11.8426	−	6.33977i	−0.789505	−	0.422651i
$226$	20.2367	−	16.9806i	1.34613	−	1.12953i
$227$	−5.86908	+	5.86908i	−0.389545	+	0.389545i	−0.874525	−	0.484980i	$-0.838827\pi$
$227$	−5.86908	+	5.86908i	−0.389545	+	0.389545i	0.484980	+	0.874525i	$0.338827\pi$
$228$	5.66662	−	8.29000i	0.375281	−	0.549019i
$229$		−	18.6144i		−	1.23007i	−0.788498	−	0.615037i	$-0.789141\pi$
$229$		−	18.6144i		−	1.23007i	0.788498	−	0.615037i	$-0.210859\pi$
$230$	−2.06394	+	12.9132i	−0.136092	+	0.851472i
$231$	3.21804	−	8.84149i	0.211731	−	0.581727i
$232$	−1.32296	+	0.926349i	−0.0868568	+	0.0608178i
$233$	16.3464	+	11.4458i	1.07089	+	0.749842i	0.969521	−	0.245007i	$-0.0787904\pi$
$233$	16.3464	+	11.4458i	1.07089	+	0.749842i	0.101364	+	0.994849i	$0.467679\pi$
$234$	−4.45235	−	12.2327i	−0.291059	−	0.799678i
$235$	−5.43504	−	3.67716i	−0.354543	−	0.239871i
$236$	−8.96094	+	5.17360i	−0.583307	+	0.336773i
$237$	−0.751949	−	8.59481i	−0.0488443	−	0.558293i
$238$	−1.11913	−	12.7917i	−0.0725425	−	0.829165i
$239$	12.7575	−	7.36555i	0.825214	−	0.476438i	−0.0269968	−	0.999636i	$-0.508594\pi$
$239$	12.7575	−	7.36555i	0.825214	−	0.476438i	0.852211	+	0.523198i	$0.175261\pi$
$240$	4.87527	+	3.29844i	0.314698	+	0.212913i
$241$	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	$0.663985\pi$
$242$	37.4013	+	26.1887i	2.40425	+	1.68347i
$243$	10.7026	−	7.49403i	0.686571	−	0.480742i
$244$	−8.11062	+	22.2837i	−0.519229	+	1.42657i
$245$	0.912523	−	5.70926i	0.0582989	−	0.364751i
$246$			14.7138i			0.938118i
$247$	2.30348	+	8.22491i	0.146567	+	0.523338i
$248$	15.7411	−	15.7411i	0.999560	−	0.999560i
$249$	1.62795	−	1.36601i	0.103167	−	0.0865676i
$250$	−14.7498	+	23.3836i	−0.932857	+	1.47891i
$251$	−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	$0.993083\pi$
$252$	19.6311	−	28.0362i	1.23665	−	1.76611i
$253$	5.42540	−	11.6348i	0.341092	−	0.731474i
$254$	24.4871	+	14.1377i	1.53646	+	0.887075i
$255$	−1.98430	−	0.686384i	−0.124262	−	0.0429831i
$256$	−24.9629	−	20.9464i	−1.56018	−	1.30915i
$257$	13.0701	−	1.14349i	0.815292	−	0.0713288i	0.328121	−	0.944636i	$-0.393584\pi$
$257$	13.0701	−	1.14349i	0.815292	−	0.0713288i	0.487171	+	0.873307i	$0.338029\pi$
$258$	−7.66054	−	2.05263i	−0.476924	−	0.127791i
$259$	6.74488	−	11.6825i	0.419106	−	0.725913i
$260$	−17.3381	+	4.94513i	−1.07526	+	0.306684i
$261$	0.817096	−	0.144076i	0.0505770	−	0.00891809i
$262$	−11.6261	−	16.6038i	−0.718264	−	1.02579i
$263$	−12.6828	+	5.91407i	−0.782053	+	0.364677i	−0.772286	−	0.635275i	$-0.780887\pi$
$263$	−12.6828	+	5.91407i	−0.782053	+	0.364677i	−0.00976677	+	0.999952i	$0.503109\pi$
$264$	−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
$268$	9.30069	+	0.813705i	0.568130	+	0.0497050i
$269$	4.24483	+	1.54499i	0.258812	+	0.0941998i	0.468167	−	0.883640i	$-0.344914\pi$
$269$	4.24483	+	1.54499i	0.258812	+	0.0941998i	−0.209356	+	0.977840i	$0.567137\pi$
$270$	−9.04530	−	15.1022i	−0.550479	−	0.919088i
$271$	−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	$-0.146866\pi$
$272$	−7.14714	−	3.33276i	−0.433359	−	0.202079i
$273$	−0.879102	−	3.28085i	−0.0532057	−	0.198566i
$274$	0.504642	+	0.874066i	0.0304866	+	0.0528043i
$275$	20.2205	−	18.1035i	1.21934	−	1.09168i
$276$	−3.50213	+	4.17367i	−0.210803	+	0.251225i
$277$	−4.82949	+	18.0239i	−0.290176	+	1.08295i	0.654798	+	0.755804i	$0.272754\pi$
$277$	−4.82949	+	18.0239i	−0.290176	+	1.08295i	−0.944973	+	0.327147i	$0.893913\pi$
$278$	−10.1022	+	2.70688i	−0.605889	+	0.162348i
$279$	−10.7467	+	3.91147i	−0.643386	+	0.234173i
$280$	−28.1034	−	22.8235i	−1.67950	−	1.36396i
$281$	−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	$0.726015\pi$
$282$	−1.71703	−	3.68218i	−0.102248	−	0.219271i
$283$	0.0262941	−	0.300543i	0.00156302	−	0.0178655i	−0.995373	−	0.0960850i	$-0.969368\pi$
$283$	0.0262941	−	0.300543i	0.00156302	−	0.0178655i	0.996936	+	0.0782195i	$0.0249235\pi$
$284$	−36.6176			−2.17286
$285$	2.44034	+	4.88078i	0.144553	+	0.289112i
$286$	26.3020			1.55527
$287$	2.86788	−	32.7800i	0.169286	−	1.93494i
$288$	−1.32610	−	2.84382i	−0.0781410	−	0.167574i
$289$	−13.9715	−	2.46355i	−0.821852	−	0.144915i
$290$	−0.176101	−	1.69856i	−0.0103410	−	0.0997427i
$291$	7.12801	−	2.59438i	0.417852	−	0.152086i
$292$	−48.9444	+	13.1146i	−2.86425	+	0.767475i
$293$	4.59890	−	17.1633i	0.268670	−	1.00269i	−0.691295	−	0.722573i	$-0.742959\pi$
$293$	4.59890	−	17.1633i	0.268670	−	1.00269i	0.959965	−	0.280119i	$-0.0903739\pi$
$294$	2.30097	−	2.74219i	0.134196	−	0.159928i
$295$	−0.0901960	−	5.62218i	−0.00525141	−	0.327336i
$296$	−11.3925	−	19.7324i	−0.662177	−	1.14692i
$297$	4.47274	+	16.6925i	0.259535	+	0.968597i
$298$	12.1947	+	5.68646i	0.706417	+	0.329408i
$299$	−0.804743	−	4.56393i	−0.0465395	−	0.263939i
$300$	−10.2778	+	5.20032i	−0.593391	+	0.300240i
$301$	16.6664	+	6.06606i	0.960634	+	0.349642i
$302$	−20.3409	−	1.77959i	−1.17048	−	0.102404i
$303$	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
$307$	−6.33019	+	2.95182i	−0.361283	+	0.168469i	−0.594780	−	0.803888i	$-0.702761\pi$
$307$	−6.33019	+	2.95182i	−0.361283	+	0.168469i	0.233497	+	0.972358i	$0.424983\pi$
$308$	39.6641	+	56.6462i	2.26007	+	3.22772i
$309$	−2.76306	+	0.487202i	−0.157185	+	0.0277159i
$310$	6.45598	+	22.6352i	0.366675	+	1.28560i
$311$	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	$0.0413073\pi$
$312$	−5.54157	−	1.48486i	−0.313730	−	0.0840636i
$313$	−22.8030	+	1.99501i	−1.28890	+	0.112764i	−0.710914	−	0.703279i	$-0.751718\pi$
$313$	−22.8030	+	1.99501i	−1.28890	+	0.112764i	−0.577990	+	0.816044i	$0.696163\pi$
$314$	−24.4992	−	20.5573i	−1.38257	−	1.16011i
$315$	8.12970	+	16.7283i	0.458057	+	0.942530i
$316$	54.9148	+	31.7051i	3.08920	+	1.78355i
$317$	12.4440	−	26.6863i	0.698927	−	1.49885i	−0.160196	−	0.987085i	$-0.551213\pi$
$317$	12.4440	−	26.6863i	0.698927	−	1.49885i	0.859123	−	0.511769i	$-0.171010\pi$
$318$	−5.49973	+	7.85442i	−0.308409	+	0.440454i
$319$	−0.291101	+	1.65092i	−0.0162985	+	0.0924336i
$320$	13.6091	−	5.20200i	0.760770	−	0.290801i
$321$	−7.60618	+	6.38235i	−0.424536	+	0.356228i
$322$	12.8033	−	12.8033i	0.713502	−	0.713502i
$323$	−4.26045	−	5.94097i	−0.237058	−	0.330564i
$324$			25.8295i			1.43497i
$325$	2.23093	−	9.54026i	0.123750	−	0.529198i
$326$	−1.18627	+	3.25926i	−0.0657016	+	0.180514i
$327$	2.16916	−	1.51886i	0.119955	−	0.0839932i
$328$	−45.5277	−	31.8788i	−2.51384	−	1.76021i
$329$	3.10757	+	8.53798i	0.171326	+	0.470714i
$330$	16.4994	−	3.18300i	0.908265	−	0.175218i
$331$	−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	$0.424087\pi$
$332$	1.36129	+	15.5596i	0.0747104	+	0.853944i
$333$	1.02020	+	11.6609i	0.0559065	+	0.639014i
$334$	13.9907	−	8.07754i	0.765538	−	0.441984i
$335$	−2.84301	+	4.20212i	−0.155330	+	0.229586i
$336$	−2.78751	−	7.65863i	−0.152071	−	0.417812i
$337$	0.249231	+	0.174514i	0.0135765	+	0.00950636i	0.580345	−	0.814371i	$-0.302918\pi$
$337$	0.249231	+	0.174514i	0.0135765	+	0.00950636i	−0.566768	+	0.823877i	$0.691807\pi$
$338$	−18.5551	+	12.9924i	−1.00926	+	0.706694i
$339$	−2.04563	+	5.62033i	−0.111104	+	0.305254i
$340$	12.4974	−	9.05293i	0.677764	−	0.490964i
$341$		−	23.1068i		−	1.25130i
$342$	2.19868	−	28.8741i	0.118891	−	1.56133i
$343$	9.66409	−	9.66409i	0.521812	−	0.521812i
$344$	22.9486	−	19.2561i	1.23730	−	1.03822i
$345$	−1.05713	−	2.76559i	−0.0569142	−	0.148895i
$346$	0.491294	−	2.78627i	0.0264121	−	0.149791i
$347$	−10.7206	+	15.3106i	−0.575512	+	0.821917i	−0.996363	−	0.0852133i	$-0.972843\pi$
$347$	−10.7206	+	15.3106i	−0.575512	+	0.821917i	0.420850	+	0.907130i	$0.361732\pi$
$348$	0.300679	−	0.644807i	0.0161181	−	0.0345653i
$349$	−3.58331	−	2.06882i	−0.191810	−	0.110742i	0.401020	−	0.916069i	$-0.368656\pi$
$349$	−3.58331	−	2.06882i	−0.191810	−	0.110742i	−0.592830	+	0.805328i	$0.701989\pi$
$350$	35.5329	−	14.2397i	1.89932	−	0.761142i
$351$	4.77898	+	4.01004i	0.255083	+	0.214040i
$352$	6.31572	−	0.552554i	0.336629	−	0.0294512i
$353$	4.09617	+	1.09756i	0.218017	+	0.0584175i	0.366174	−	0.930546i	$-0.380667\pi$
$353$	4.09617	+	1.09756i	0.218017	+	0.0584175i	−0.148157	+	0.988964i	$0.547334\pi$
$354$	1.74067	−	3.01493i	0.0925157	−	0.160242i
$355$	9.67171	−	17.3903i	0.513321	−	0.922980i
$356$	16.3648	−	2.88555i	0.867332	−	0.152934i
$357$	1.66750	+	2.38144i	0.0882536	+	0.126039i
$358$	−23.7194	+	11.0605i	−1.25361	+	0.584567i
$359$	6.02747	+	7.18326i	0.318118	+	0.379118i	0.901280	−	0.433238i	$-0.142629\pi$
$359$	6.02747	+	7.18326i	0.318118	+	0.379118i	−0.583162	+	0.812356i	$0.698185\pi$
$360$	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
$363$	−10.2981	−	0.900965i	−0.540509	−	0.0472884i
$364$	23.4582	+	8.53810i	1.22955	+	0.447518i
$365$	6.69921	−	26.7084i	0.350653	−	1.39798i
$366$	−1.38547	−	7.85738i	−0.0724196	−	0.410712i
$367$	−8.00863	−	3.73449i	−0.418047	−	0.194939i	0.202201	−	0.979344i	$-0.435190\pi$
$367$	−8.00863	−	3.73449i	−0.418047	−	0.194939i	−0.620248	+	0.784405i	$0.712968\pi$
$368$	−2.87810	−	10.7412i	−0.150031	−	0.559924i
$369$	14.2764	+	24.7275i	0.743201	+	1.28726i
$370$	24.0887	−	0.386452i	1.25231	−	0.0200907i
$371$	13.7834	−	16.4264i	0.715600	−	0.852818i
$372$	−2.53815	+	9.47249i	−0.131597	+	0.491126i
$373$	−21.1604	+	5.66992i	−1.09565	+	0.293577i	−0.760990	−	0.648764i	$-0.775286\pi$
$373$	−21.1604	+	5.66992i	−1.09565	+	0.293577i	−0.334655	+	0.942341i	$0.608620\pi$
$374$	−21.1547	+	7.69969i	−1.09388	+	0.398141i
$375$	0.244944	−	6.25465i	0.0126489	−	0.322989i
$376$	15.1136	+	2.66493i	0.779422	+	0.137433i
$377$	0.255756	+	0.548470i	0.0131721	+	0.0282476i
$378$	−2.12436	+	24.2815i	−0.109265	+	1.24891i
$379$	18.4965			0.950102			0.475051	−	0.879958i	$-0.342430\pi$
$379$	18.4965			0.950102			0.475051	+	0.879958i	$0.342430\pi$
$380$	−39.6721	−	5.88331i	−2.03514	−	0.301808i
$381$	−6.40173			−0.327971
$382$	−2.91812	+	33.3543i	−0.149304	+	1.70655i
$383$	−14.9533	−	32.0674i	−0.764076	−	1.63857i	−0.769555	−	0.638580i	$-0.779522\pi$
$383$	−14.9533	−	32.0674i	−0.764076	−	1.63857i	0.00547951	−	0.999985i	$-0.498256\pi$
$384$	10.1713	+	1.79348i	0.519054	+	0.0915232i
$385$	−37.3785	+	3.87530i	−1.90499	+	0.197503i
$386$	35.2707	−	12.8375i	1.79523	−	0.653411i
$387$	−14.8656	+	3.98324i	−0.755663	+	0.202479i
$388$	−14.4293	+	53.8509i	−0.732537	+	2.73387i
$389$	−9.07995	+	10.8211i	−0.460372	+	0.548650i	−0.945427	−	0.325834i	$-0.894355\pi$
$389$	−9.07995	+	10.8211i	−0.460372	+	0.548650i	0.485055	+	0.874484i	$0.338799\pi$
$390$	4.22000	−	4.35761i	0.213688	−	0.220656i
$391$	1.98330	+	3.43518i	0.100300	+	0.173725i
$392$	3.49966	+	13.0609i	0.176760	+	0.659676i
$393$	4.15919	+	1.93946i	0.209804	+	0.0978330i
$394$	−2.84781	−	16.1508i	−0.143471	−	0.813663i
$395$	−29.5617	+	17.7057i	−1.48741	+	0.890872i
$396$	−56.3867	−	20.5231i	−2.83354	−	1.03132i
$397$	30.6713	+	2.68339i	1.53935	+	0.134676i	0.825008	−	0.565121i	$-0.191170\pi$
$397$	30.6713	+	2.68339i	1.53935	+	0.134676i	0.714342	+	0.699796i	$0.246726\pi$
$398$	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	$0.668610\pi$
$402$	−2.84689	+	1.32753i	−0.141990	+	0.0662110i
$403$	−4.78448	−	6.83295i	−0.238332	−	0.340373i
$404$	−59.0323	+	10.4090i	−2.93697	+	0.517867i
$405$	−12.2668	−	6.82228i	−0.609544	−	0.339002i
$406$	−1.18222	+	2.04766i	−0.0586725	+	0.101624i
$407$	−22.8446	−	6.12120i	−1.13237	−	0.303417i
$408$	4.89176	−	0.427974i	0.242178	−	0.0211879i
$409$	18.4492	+	15.4807i	0.912253	+	0.765471i	0.972546	−	0.232709i	$-0.0747591\pi$
$409$	18.4492	+	15.4807i	0.912253	+	0.765471i	−0.0602932	+	0.998181i	$0.519204\pi$
$410$	52.8552	−	25.6869i	2.61033	−	1.26859i
$411$	−0.197895	−	0.114255i	−0.00976143	−	0.00563577i
$412$	8.71472	−	18.6888i	0.429343	−	0.920730i
$413$	−4.46558	+	6.37751i	−0.219737	+	0.313817i
$414$	−2.72830	+	15.4730i	−0.134089	+	0.760455i
$415$	−7.74905	−	3.46322i	−0.380386	−	0.170003i
$416$	1.75322	−	1.47113i	0.0859586	−	0.0721279i
$417$	1.67435	−	1.67435i	0.0819934	−	0.0819934i
$418$	53.3014	+	24.1276i	2.60706	+	1.18012i
$419$		−	2.43513i		−	0.118964i	−0.998229	−	0.0594819i	$-0.981055\pi$
$419$		−	2.43513i		−	0.118964i	0.998229	−	0.0594819i	$-0.0189449\pi$
$420$	15.7488	+	2.51716i	0.768461	+	0.122825i
$421$	−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	$0.144038\pi$
$422$	−31.2739	+	21.8982i	−1.52239	+	1.06599i
$423$	−6.45830	−	4.52215i	−0.314013	−	0.219874i
$424$	−12.3876	−	34.0347i	−0.601595	−	1.65287i
$425$	0.998486	+	8.32631i	0.0484337	+	0.403885i
$426$	10.6695	−	6.16005i	0.516940	−	0.298455i
$427$	1.55511	+	17.7750i	0.0752572	+	0.860194i
$428$	−6.36027	−	72.6982i	−0.307435	−	3.51400i
$429$	−5.15715	+	2.97748i	−0.248990	+	0.143754i
$430$	6.00001	+	31.1018i	0.289346	+	1.49986i
$431$	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	$0.724460\pi$
$432$	12.2622	+	8.58607i	0.589965	+	0.413098i
$433$	18.6950	−	13.0904i	0.898424	−	0.629083i	−0.0304269	−	0.999537i	$-0.509687\pi$
$433$	18.6950	−	13.0904i	0.898424	−	0.629083i	0.928851	+	0.370454i	$0.120798\pi$
$434$	11.1467	−	30.6253i	0.535058	−	1.47006i
$435$	0.226812	+	0.313108i	0.0108748	+	0.0150124i
$436$			19.4623i			0.932074i
$437$	2.55579	−	9.98707i	0.122260	−	0.477746i
$438$	12.0550	−	12.0550i	0.576012	−	0.576012i
$439$	2.59554	−	2.17792i	0.123878	−	0.103946i	−0.578744	−	0.815509i	$-0.696457\pi$
$439$	2.59554	−	2.17792i	0.123878	−	0.103946i	0.702622	+	0.711563i	$0.252012\pi$
$440$	−25.8987	+	57.9491i	−1.23467	+	2.76261i
$441$	1.20625	−	6.84101i	0.0574407	−	0.325762i
$442$	−4.66140	+	6.65717i	−0.221720	+	0.316649i
$443$	−1.22952	+	2.63672i	−0.0584165	+	0.125275i	−0.933349	−	0.358970i	$-0.883128\pi$
$443$	−1.22952	+	2.63672i	−0.0584165	+	0.125275i	0.874932	+	0.484245i	$0.160906\pi$
$444$	8.69264	+	5.01870i	0.412534	+	0.238177i
$445$	−2.95199	+	8.53404i	−0.139938	+	0.404552i
$446$	−22.6204	−	18.9808i	−1.07111	−	0.898766i
$447$	−3.03479	+	0.265509i	−0.143540	+	0.0125582i
$448$	−19.4855	−	5.22113i	−0.920604	−	0.246675i
$449$	−1.95617	+	3.38818i	−0.0923173	+	0.159898i	−0.908486	−	0.417916i	$-0.862761\pi$
$449$	−1.95617	+	3.38818i	−0.0923173	+	0.159898i	0.816169	+	0.577814i	$0.196094\pi$
$450$	−18.1697	+	27.8067i	−0.856528	+	1.31082i
$451$	−56.8136	+	10.0178i	−2.67525	+	0.471719i
$452$	−25.2135	−	36.0087i	−1.18595	−	1.69371i
$453$	4.18978	−	1.95372i	0.196853	−	0.0917940i
$454$	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	0.988057	+	0.154088i	$0.0492439\pi$
$457$	24.4163	+	24.4163i	1.14214	+	1.14214i	0.154088	+	0.988057i	$0.450756\pi$
$458$	−45.8547	−	4.01176i	−2.14265	−	0.187457i
$459$	−5.01763	−	1.82627i	−0.234203	−	0.0852430i
$460$	21.1066	+	5.29414i	0.984102	+	0.246841i
$461$	−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	$-0.115382\pi$
$462$	−21.0866	−	9.83283i	−0.981036	−	0.457465i
$463$	−5.03065	−	18.7746i	−0.233794	−	0.872532i	−0.978689	−	0.205350i	$-0.934167\pi$
$463$	−5.03065	−	18.7746i	−0.233794	−	0.872532i	0.744895	−	0.667182i	$-0.232500\pi$
$464$	0.726055	+	1.25756i	0.0337062	+	0.0583809i
$465$	−3.82824	−	3.70735i	−0.177530	−	0.171924i
$466$	31.7186	−	37.8008i	1.46934	−	1.75109i
$467$	4.69956	−	17.5390i	0.217470	−	0.811608i	−0.767813	−	0.640674i	$-0.778655\pi$
$467$	4.69956	−	17.5390i	0.217470	−	0.811608i	0.985282	−	0.170934i	$-0.0546785\pi$
$468$	−20.9237	+	5.60648i	−0.967197	+	0.259160i
$469$	6.60117	−	2.40263i	0.304814	−	0.110943i
$470$	−10.2297	+	12.5962i	−0.471859	+	0.581019i
$471$	7.13082	+	1.25736i	0.328571	+	0.0579359i
$472$	5.55752	+	11.9181i	0.255806	+	0.548577i
$473$	2.71011	−	30.9767i	0.124611	−	1.42431i
$474$	−21.3345			−0.979927
$475$	13.2726	−	17.2870i	0.608987	−	0.793180i
$476$	−21.3669			−0.979351
$477$	−1.62170	+	18.5361i	−0.0742525	+	0.848710i
$478$	−15.3948	−	33.0143i	−0.704142	−	1.51004i
$479$	28.0837	+	4.95191i	1.28318	+	0.226259i	0.773328	−	0.634006i	$-0.218590\pi$
$479$	28.0837	+	4.95191i	1.28318	+	0.226259i	0.509848	+	0.860264i	$0.329701\pi$
$480$	0.921774	−	1.13502i	0.0420731	−	0.0518062i
$481$	−8.02287	+	2.92009i	−0.365811	+	0.133144i
$482$	48.1465	−	12.9008i	2.19301	−	0.587615i
$483$	−1.06102	+	3.95979i	−0.0482782	+	0.180177i
$484$	48.8367	−	58.2013i	2.21985	−	2.64551i
$485$	−21.7635	−	21.0762i	−0.988228	−	0.957021i
$486$	−16.1542	−	27.9798i	−0.732768	−	1.26919i
$487$	4.09527	+	15.2837i	0.185574	+	0.692573i	0.994507	+	0.104671i	$0.0333790\pi$
$487$	4.09527	+	15.2837i	0.185574	+	0.692573i	−0.808933	+	0.587901i	$0.799954\pi$
$488$	27.3142	+	12.7368i	1.23645	+	0.576568i
$489$	−0.136362	−	0.773347i	−0.00616650	−	0.0349720i
$490$	−13.8675	−	3.47837i	−0.626471	−	0.157137i
$491$	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	$0.610482\pi$
$492$	24.3908	+	2.13392i	1.09962	+	0.0962044i
$493$	−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
$497$	−24.9706	+	11.6440i	−1.12009	+	0.522305i
$498$	−3.01418	−	4.30470i	−0.135069	−	0.192898i
$499$	7.86525	−	1.38686i	0.352097	−	0.0620842i	0.00519746	−	0.999986i	$-0.498346\pi$
$499$	7.86525	−	1.38686i	0.352097	−	0.0620842i	0.346900	+	0.937902i	$0.387234\pi$
$500$	36.6234	+	27.8417i	1.63785	+	1.24512i
$501$	−1.82881	+	3.16760i	−0.0817054	+	0.141518i
$502$	14.7587	+	3.95457i	0.658712	+	0.176501i
$503$	41.9391	−	3.66919i	1.86997	−	0.163601i	0.904906	−	0.425611i	$-0.139941\pi$
$503$	41.9391	−	3.66919i	1.86997	−	0.163601i	0.965065	+	0.262010i	$0.0843853\pi$
$504$	−33.3210	−	27.9596i	−1.48424	−	1.24542i
$505$	10.6487	−	30.7847i	0.473859	−	1.36990i
$506$	−27.4919	−	15.8725i	−1.22216	−	0.705617i
$507$	2.16739	−	4.64798i	0.0962571	−	0.206424i
$508$	26.9870	−	38.5415i	1.19736	−	1.71000i
$509$	−4.08730	+	23.1803i	−0.181167	+	1.02745i	0.749616	+	0.661873i	$0.230238\pi$
$509$	−4.08730	+	23.1803i	−0.181167	+	1.02745i	−0.930782	+	0.365574i	$0.880873\pi$
$510$	−2.11849	+	4.74020i	−0.0938085	+	0.209899i
$511$	−29.2063	+	24.5070i	−1.29201	+	1.08413i
$512$	−30.8901	+	30.8901i	−1.36516	+	1.36516i
$513$	6.00614	+	12.5103i	0.265178	+	0.552343i
$514$		−	32.4434i		−	1.43102i
$515$	6.57379	+	9.07497i	0.289676	+	0.399891i
$516$	−4.51361	+	12.4010i	−0.198701	+	0.545925i
$517$	13.0488	−	9.13686i	0.573885	−	0.401839i
$518$	−27.3249	−	19.1331i	−1.20059	−	0.840661i
$519$	0.219085	+	0.601932i	0.00961677	+	0.0264219i
$520$	4.34036	+	22.4988i	0.190338	+	0.986636i
$521$	−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	$0.344254\pi$
$522$	−0.178817	−	2.04389i	−0.00782660	−	0.0894585i
$523$	1.91139	+	21.8473i	0.0835791	+	0.955314i	0.916002	+	0.401173i	$0.131397\pi$
$523$	1.91139	+	21.8473i	0.0835791	+	0.955314i	−0.832423	+	0.554140i	$0.813047\pi$
$524$	−29.2099	+	16.8644i	−1.27604	+	0.736723i
$525$	−5.35512	+	6.81449i	−0.233716	+	0.297409i
$526$	11.8353	+	32.5173i	0.516045	+	1.41782i
$527$	5.84844	+	4.09512i	0.254762	+	0.178386i
$528$	−11.7049	+	8.19583i	−0.509389	+	0.356678i
$529$	5.95342	−	16.3569i	0.258845	−	0.711170i
$530$	37.8161	+	6.04422i	1.64263	+	0.262544i
$531$		−	6.75571i		−	0.293173i
$532$	39.7062	+	38.8215i	1.72148	+	1.68312i
$533$	−14.7262	+	14.7262i	−0.637861	+	0.637861i
$534$	−4.28289	+	3.59377i	−0.185339	+	0.155518i
$535$	36.2054	+	16.1810i	1.56530	+	0.699565i
$536$	2.06040	−	11.6851i	0.0889957	−	0.504719i
$537$	3.39867	−	4.85380i	0.146663	−	0.209457i
$538$	4.72077	−	10.1237i	0.203527	−	0.436465i
$539$	12.1549	+	7.01763i	0.523548	+	0.302271i
$540$	−26.3464	+	12.8040i	−1.13377	+	0.550996i
$541$	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	$0.553397\pi$
$542$	−22.9480	+	2.00769i	−0.985703	+	0.0862378i
$543$	−2.05421	−	0.550425i	−0.0881548	−	0.0236210i
$544$	−0.979454	+	1.69646i	−0.0419938	+	0.0727353i
$545$	−9.24294	−	5.14052i	−0.395924	−	0.220195i
$546$	−8.27152	+	1.45849i	−0.353988	+	0.0624177i
$547$	4.09059	+	5.84197i	0.174901	+	0.249785i	0.897026	−	0.441978i	$-0.145723\pi$
$547$	4.09059	+	5.84197i	0.174901	+	0.249785i	−0.722125	+	0.691763i	$0.756834\pi$
$548$	1.52211	−	0.709772i	0.0650213	−	0.0303199i
$549$	−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
$553$	47.5299	+	4.15833i	2.02118	+	0.176830i
$554$	43.3592	+	15.7815i	1.84216	+	0.670490i
$555$	−4.67942	+	2.80269i	−0.198630	+	0.118968i
$556$	3.02203	+	17.1388i	0.128163	+	0.726847i
$557$	−41.5217	−	19.3619i	−1.75933	−	0.820389i	−0.981384	−	0.192058i	$-0.938484\pi$
$557$	−41.5217	−	19.3619i	−1.75933	−	0.820389i	−0.777946	−	0.628331i	$-0.783738\pi$
$558$	7.31939	+	27.3163i	0.309855	+	1.15639i
$559$	−5.61261	−	9.72133i	−0.237388	−	0.411169i
$560$	−22.6451	+	23.3836i	−0.956931	+	0.988136i
$561$	3.27627	−	3.90450i	0.138324	−	0.164848i
$562$	−10.9492	+	40.8628i	−0.461862	+	1.72369i
$563$	20.0353	−	5.36843i	0.844386	−	0.226252i	0.189406	−	0.981899i	$-0.439344\pi$
$563$	20.0353	−	5.36843i	0.844386	−	0.226252i	0.654980	+	0.755646i	$0.272677\pi$
$564$	−6.35290	+	2.31227i	−0.267505	+	0.0973640i
$565$	23.7607	−	2.46344i	0.999618	−	0.103638i
$566$	−0.734692	−	0.129546i	−0.0308814	−	0.00544522i
$567$	8.21350	+	17.6139i	0.344935	+	0.739715i
$568$	−4.05598	+	46.3601i	−0.170185	+	1.94523i
$569$	9.83327			0.412232			0.206116	−	0.978528i	$-0.433918\pi$
$569$	9.83327			0.412232			0.206116	+	0.978528i	$0.433918\pi$
$570$	12.5493	−	4.95964i	0.525630	−	0.207736i
$571$	−3.68436			−0.154186			−0.0770929	−	0.997024i	$-0.524564\pi$
$571$	−3.68436			−0.154186			−0.0770929	+	0.997024i	$0.524564\pi$
$572$	3.81454	−	43.6004i	0.159494	−	1.82302i
$573$	−3.20365	−	6.87026i	−0.133835	−	0.287009i
$574$	−80.1322	−	14.1295i	−3.34465	−	0.589752i
$575$	−8.08911	+	8.62555i	−0.337339	+	0.359710i
$576$	16.4490	−	5.98693i	0.685373	−	0.249455i
$577$	−33.0255	+	8.84916i	−1.37487	+	0.368395i	−0.869255	−	0.494363i	$-0.835401\pi$
$577$	−33.0255	+	8.84916i	−1.37487	+	0.368395i	−0.505615	+	0.862759i	$0.668735\pi$
$578$	−9.07984	+	33.8864i	−0.377672	+	1.40949i
$579$	−5.46243	+	6.50987i	−0.227011	+	0.270541i
$580$	−2.84121	+	0.0455811i	−0.117975	+	0.00189265i
$581$	5.87608	+	10.1777i	0.243781	+	0.422241i
$582$	−4.85478	−	18.1183i	−0.201237	−	0.751027i
$583$	−34.0723	−	15.8882i	−1.41113	−	0.658021i
$584$	11.1825	+	63.4192i	0.462736	+	2.62430i
$585$	2.86391	−	11.4178i	0.118408	−	0.472068i
$586$	−41.2889	−	15.0279i	−1.70563	−	0.620799i
$587$	−1.15053	−	0.100658i	−0.0474873	−	0.00415460i	0.0633873	−	0.997989i	$-0.479810\pi$
$587$	−1.15053	−	0.100658i	−0.0474873	−	0.00415460i	−0.110875	+	0.993834i	$0.535365\pi$
$588$	−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
$592$	−18.5670	+	8.65793i	−0.763099	+	0.355839i
$593$	11.0025	+	15.7132i	0.451819	+	0.645264i	0.978849	−	0.204582i	$-0.0655837\pi$
$593$	11.0025	+	15.7132i	0.451819	+	0.645264i	−0.527031	+	0.849846i	$0.676695\pi$
$594$	42.0843	−	7.42059i	1.72674	−	0.304471i
$595$	5.64358	−	10.1475i	0.231364	−	0.416006i
$596$	11.1949	−	19.3901i	0.458561	−	0.794251i
$597$	−9.87012	−	2.64469i	−0.403957	−	0.108240i
$598$	−11.4162	+	0.998789i	−0.466844	+	0.0408435i
$599$	4.65988	+	3.91010i	0.190397	+	0.159762i	0.733003	−	0.680225i	$-0.238118\pi$
$599$	4.65988	+	3.91010i	0.190397	+	0.159762i	−0.542606	+	0.839987i	$0.682562\pi$
$600$	5.44548	+	13.5884i	0.222311	+	0.554743i
$601$	−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	$0.799798\pi$
$602$	18.5351	−	39.7486i	0.755433	−	1.62003i
$603$	−3.49632	+	4.99326i	−0.142381	+	0.203341i
$604$	−5.90000	+	33.4606i	−0.240068	+	1.36149i
$605$	14.7416	+	38.5659i	0.599332	+	1.56792i
$606$	15.4496	−	12.9637i	0.627596	−	0.526616i
$607$	1.67102	−	1.67102i	0.0678245	−	0.0678245i	−0.672381	−	0.740205i	$-0.734728\pi$
$607$	1.67102	−	1.67102i	0.0678245	−	0.0678245i	0.740205	+	0.672381i	$0.234728\pi$
$608$	4.90243	−	1.37298i	0.198820	−	0.0556816i
$609$		−	0.535326i		−	0.0216925i
$610$	−25.8067	+	18.6941i	−1.04488	+	0.756901i
$611$	1.96680	−	5.40375i	0.0795683	−	0.218612i
$612$	15.1877	−	10.6345i	0.613925	−	0.429875i
$613$	7.49682	+	5.24933i	0.302794	+	0.212018i	0.715092	−	0.699031i	$-0.246385\pi$
$613$	7.49682	+	5.24933i	0.302794	+	0.212018i	−0.412298	+	0.911049i	$0.635274\pi$
$614$	5.90722	+	16.2300i	0.238396	+	0.654988i
$615$	−7.45570	+	11.0199i	−0.300643	+	0.444367i
$616$	76.1109	−	43.9426i	3.06659	−	1.77050i
$617$	−1.15849	−	13.2416i	−0.0466390	−	0.533086i	−0.983194	−	0.182565i	$-0.941560\pi$
$617$	−1.15849	−	13.2416i	−0.0466390	−	0.533086i	0.936555	−	0.350521i	$-0.113995\pi$
$618$	0.604679	+	6.91152i	0.0243238	+	0.278022i
$619$	−13.3404	+	7.70210i	−0.536197	+	0.309573i	−0.743536	−	0.668696i	$-0.766853\pi$
$619$	−13.3404	+	7.70210i	−0.536197	+	0.309573i	0.207339	+	0.978269i	$0.433520\pi$
$620$	38.4583	−	7.41921i	1.54452	−	0.297962i
$621$	−2.57524	−	7.07541i	−0.103341	−	0.283927i
$622$	−27.4149	−	19.1961i	−1.09924	−	0.769695i
$623$	10.2421	−	7.17156i	0.410339	−	0.287323i
$624$	−1.76424	+	4.84720i	−0.0706260	+	0.194043i
$625$	−22.8957	+	10.0393i	−0.915828	+	0.401571i
$626$			56.6029i			2.26231i
$627$	−13.1824	+	1.30311i	−0.526453	+	0.0520413i
$628$	−37.6305	+	37.6305i	−1.50162	+	1.50162i
$629$	5.59796	−	4.69725i	0.223205	−	0.187292i
$630$	42.9605	−	16.4214i	1.71159	−	0.654246i
$631$	−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	$0.0865878\pi$
$632$	46.2232	−	66.0136i	1.83866	−	2.62588i
$633$	3.65306	−	7.83400i	0.145196	−	0.311374i
$634$	−63.0572	−	36.4061i	−2.50432	−	1.44587i
$635$	11.1759	+	22.9964i	0.443504	+	0.912585i
$636$	12.2225	+	10.2559i	0.484654	+	0.406673i
$637$	5.04740	−	0.441591i	0.199985	−	0.0174965i
$638$	4.00413	+	1.07290i	0.158525	+	0.0424767i
$639$	11.9539	−	20.7047i	0.472888	−	0.819065i
$640$	−11.3142	−	39.6687i	−0.447234	−	1.56804i
$641$	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	$0.119105\pi$
$642$	14.0830	+	20.1126i	0.555811	+	0.793781i
$643$	−1.59816	+	0.745234i	−0.0630253	+	0.0293892i	−0.453875	−	0.891065i	$-0.649959\pi$
$643$	−1.59816	+	0.745234i	−0.0630253	+	0.0293892i	0.390850	+	0.920454i	$0.372181\pi$
$644$	−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	0.881400	+	0.472370i	$0.156602\pi$
$647$	34.4348	+	34.4348i	1.35377	+	1.35377i	0.472370	+	0.881400i	$0.343398\pi$
$648$	32.7017	+	2.86103i	1.28464	+	0.112392i
$649$	12.8265	+	4.66847i	0.503485	+	0.183254i
$650$	−23.0207	−	7.55179i	−0.902945	−	0.296206i
$651$	1.28131	+	7.26668i	0.0502185	+	0.284803i
$652$	5.23077	+	2.43915i	0.204853	+	0.0955243i
$653$	10.2470	+	38.2422i	0.400994	+	1.49653i	0.811325	+	0.584595i	$0.198747\pi$
$653$	10.2470	+	38.2422i	0.400994	+	1.49653i	−0.410331	+	0.911937i	$0.634587\pi$
$654$	−3.27407	−	5.67085i	−0.128026	−	0.221748i
$655$	−0.294012	−	18.3266i	−0.0114880	−	0.716079i
$656$	−32.1214	+	38.2808i	−1.25413	+	1.49461i
$657$	8.56256	−	31.9559i	0.334057	−	1.24672i
$658$	21.7022	−	5.81508i	0.846039	−	0.226696i
$659$	20.0906	−	7.31236i	0.782617	−	0.284849i	0.0803534	−	0.996766i	$-0.474395\pi$
$659$	20.0906	−	7.31236i	0.782617	−	0.284849i	0.702263	+	0.711917i	$0.252173\pi$
$660$	−2.88351	−	27.8124i	−0.112241	−	1.08260i
$661$	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	$0.501381\pi$
$662$	10.6954	+	22.9364i	0.415689	+	0.891448i
$663$	0.160366	−	1.83299i	0.00622808	−	0.0711873i
$664$	19.8502			0.770336
$665$	−28.9244	+	8.60329i	−1.12164	+	0.333621i
$666$	28.9454			1.12161
$667$	0.0636588	−	0.727623i	0.00246488	−	0.0281737i
$668$	−11.3609	−	24.3636i	−0.439568	−	0.942657i
$669$	6.58397	+	1.16093i	0.254551	+	0.0448842i
$670$	9.73878	+	7.90910i	0.376242	+	0.305555i
$671$	29.3960	−	10.6993i	1.13482	−	0.413041i
$672$	−1.95554	+	0.523985i	−0.0754366	+	0.0202132i
$673$	11.0617	−	41.2828i	0.426397	−	1.59133i	−0.334457	−	0.942411i	$-0.608553\pi$
$673$	11.0617	−	41.2828i	0.426397	−	1.59133i	0.760854	−	0.648923i	$-0.224780\pi$
$674$	0.483611	−	0.576345i	0.0186280	−	0.0222000i
$675$	0.877987	−	15.8942i	0.0337938	−	0.611768i
$676$	18.8463	+	32.6427i	0.724856	+	1.25549i
$677$	−8.46037	−	31.5745i	−0.325158	−	1.21351i	−0.914153	−	0.405370i	$-0.867143\pi$
$677$	−8.46037	−	31.5745i	−0.325158	−	1.21351i	0.588994	−	0.808137i	$-0.299524\pi$
$678$	13.4042	+	6.25050i	0.514787	+	0.240049i
$679$	7.28422	+	41.3109i	0.279543	+	1.58537i
$680$	−10.0773	−	16.8251i	−0.386446	−	0.645215i
$681$	−4.36668	−	1.58934i	−0.167332	−	0.0609038i
$682$	−56.9213	−	4.97997i	−2.17963	−	0.190693i
$683$	−18.2414	−	18.2414i	−0.697987	−	0.697987i	0.265989	−	0.963976i	$-0.414302\pi$
$683$	−18.2414	−	18.2414i	−0.697987	−	0.697987i	−0.963976	+	0.265989i	$0.914302\pi$
$684$	−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
$687$	9.44507	−	4.40431i	0.360352	−	0.168035i
$688$	−15.4493	−	22.0639i	−0.588999	−	0.841177i
$689$	−13.3654	+	2.35668i	−0.509180	+	0.0897822i
$690$	−7.04060	+	2.00811i	−0.268031	+	0.0764473i
$691$	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	$-0.188875\pi$
$692$	−4.54749	−	1.21850i	−0.172870	−	0.0463203i
$693$	−44.9779	+	3.93505i	−1.70857	+	0.149480i
$694$	35.4057	+	29.7089i	1.34398	+	1.12773i
$695$	−8.93768	−	3.09161i	−0.339026	−	0.117271i
$696$	−0.783060	−	0.452100i	−0.0296818	−	0.0171368i
$697$	7.53329	−	16.1552i	0.285344	−	0.611922i
$698$	−5.86862	+	8.38125i	−0.222130	+	0.317235i
$699$	−1.94003	+	11.0024i	−0.0733785	+	0.416150i
$700$	−18.4515	−	60.9674i	−0.697403	−	2.30435i
$701$	−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
$703$	−18.9371	−	1.44201i	−0.714227	−	0.0543863i
$704$			35.3675i			1.33296i
$705$	0.579842	−	3.62782i	0.0218381	−	0.136632i
$706$	3.58654	−	9.85395i	0.134981	−	0.370858i
$707$	−36.9460	+	25.8698i	−1.38950	+	0.972935i
$708$	−4.74535	−	3.32273i	−0.178341	−	0.124876i
$709$	12.3224	+	33.8554i	0.462776	+	1.27147i	0.923389	+	0.383866i	$0.125408\pi$
$709$	12.3224	+	33.8554i	0.462776	+	1.27147i	−0.460612	+	0.887601i	$0.652370\pi$
$710$	−40.7548	−	27.5732i	−1.52950	−	1.03480i
$711$	−35.8540	+	20.7003i	−1.34463	+	0.776323i
$712$	−1.84062	−	21.0384i	−0.0689802	−	0.788448i
$713$	0.877454	+	10.0293i	0.0328609	+	0.375602i
$714$	6.22582	−	3.59448i	0.232995	−	0.134520i
$715$	19.6990	+	13.3276i	0.736700	+	0.498425i
$716$	14.8948	+	40.9232i	0.556646	+	1.52937i
$717$	6.75586	+	4.73050i	0.252302	+	0.176664i
$718$	18.9943	−	13.2999i	0.708861	−	0.496350i
$719$	−5.27833	+	14.5021i	−0.196849	+	0.540837i	−0.998367	−	0.0571336i	$-0.981804\pi$
$719$	−5.27833	+	14.5021i	−0.196849	+	0.540837i	0.801518	+	0.597971i	$0.204026\pi$
$720$	4.45800	−	27.8918i	0.166140	−	1.03947i
$721$		−	15.5156i		−	0.577831i
$722$	45.6449	+	11.1346i	1.69873	+	0.414388i
$723$	−7.97987	+	7.97987i	−0.296774	+	0.296774i
$724$	11.9735	−	10.0470i	0.444993	−	0.373393i
$725$	0.728792	−	1.36137i	0.0270667	−	0.0505601i
$726$	−4.43888	+	25.1741i	−0.164742	+	0.934299i
$727$	−6.09768	+	8.70839i	−0.226150	+	0.322976i	−0.916152	−	0.400832i	$-0.868721\pi$
$727$	−6.09768	+	8.70839i	−0.226150	+	0.322976i	0.690001	+	0.723808i	$0.257610\pi$
$728$	13.4081	−	28.7538i	0.496938	−	1.06569i
$729$	−9.97391	−	5.75844i	−0.369404	−	0.213276i
$730$	−64.3496	−	22.2590i	−2.38169	−	0.823843i
$731$	7.36006	+	6.17582i	0.272222	+	0.228421i
$732$	−13.2260	+	1.15712i	−0.488846	+	0.0427684i
$733$	−15.9739	−	4.28018i	−0.590008	−	0.158092i	−0.0485512	−	0.998821i	$-0.515460\pi$
$733$	−15.9739	−	4.28018i	−0.590008	−	0.158092i	−0.541457	+	0.840728i	$0.682127\pi$
$734$	−10.9255	+	18.9236i	−0.403269	+	0.698483i
$735$	3.11283	−	0.887836i	0.114818	−	0.0327483i
$736$	−2.72031	+	0.479664i	−0.100272	+	0.0176807i
$737$	−7.06419	−	10.0887i	−0.260213	−	0.371623i
$738$	63.9905	−	29.8393i	2.35552	−	1.09840i
$739$	−25.6826	−	30.6074i	−0.944751	−	1.12591i	−0.991900	−	0.127022i	$-0.959458\pi$
$739$	−25.6826	−	30.6074i	−0.944751	−	1.12591i	0.0471489	−	0.998888i	$-0.484986\pi$
$740$	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
$743$	−46.8280	−	4.09692i	−1.71795	−	0.150301i	−0.814835	−	0.579693i	$-0.803173\pi$
$743$	−46.8280	−	4.09692i	−1.71795	−	0.150301i	−0.903119	+	0.429391i	$0.858728\pi$
$744$	11.7116	+	4.26267i	0.429368	+	0.156277i
$745$	6.25180	+	10.4381i	0.229048	+	0.382422i
$746$	9.40679	+	53.3486i	0.344407	+	1.95323i
$747$	−9.24226	−	4.30974i	−0.338157	−	0.157685i
$748$	9.69559	+	36.1844i	0.354506	+	1.32303i
$749$	−27.4545	−	47.5526i	−1.00316	−	1.73753i
$750$	−15.3549	−	1.95139i	−0.560682	−	0.0712549i
$751$	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	$0.0953177\pi$
$752$	3.57131	−	13.3283i	0.130232	−	0.486033i
$753$	−3.34147	+	0.895344i	−0.121770	+	0.0326281i
$754$	1.40622	−	0.511823i	0.0512116	−	0.0186395i
$755$	−14.3326	−	11.6398i	−0.521616	−	0.423617i
$756$	39.9429	+	7.04302i	1.45271	+	0.256152i
$757$	8.19074	+	17.5651i	0.297698	+	0.638415i	0.997083	−	0.0763306i	$-0.0243204\pi$
$757$	8.19074	+	17.5651i	0.297698	+	0.638415i	−0.699385	+	0.714745i	$0.746543\pi$
$758$	3.98636	−	45.5643i	0.144791	−	1.65497i
$759$	7.18728			0.260882
$760$	−11.8429	+	49.5756i	−0.429589	+	1.79830i
$761$	−0.0276948			−0.00100394			−0.000501968	−	1.00000i	$-0.500160\pi$
$761$	−0.0276948			−0.00100394			−0.000501968		1.00000i	$0.500160\pi$
$762$	−1.37970	+	15.7700i	−0.0499812	+	0.571288i
$763$	6.18879	+	13.2719i	0.224049	+	0.480475i
$764$	54.8675	+	9.67462i	1.98504	+	0.350016i
$765$	1.03902	+	10.0217i	0.0375659	+	0.362336i
$766$	−82.2174	+	29.9247i	−2.97064	+	1.08122i
$767$	4.75960	−	1.27533i	0.171859	−	0.0460495i
$768$	4.72192	−	17.6224i	0.170388	−	0.635895i
$769$	−2.74069	+	3.26623i	−0.0988319	+	0.117783i	−0.813193	−	0.581994i	$-0.802273\pi$
$769$	−2.74069	+	3.26623i	−0.0988319	+	0.117783i	0.714361	+	0.699777i	$0.246717\pi$
$770$	1.49060	+	92.9134i	0.0537175	+	3.34837i
$771$	3.67271	+	6.36132i	0.132269	+	0.229097i
$772$	−16.1652	−	60.3294i	−0.581798	−	2.17130i
$773$	−5.39187	−	2.51427i	−0.193932	−	0.0904320i	0.323226	−	0.946322i	$-0.395232\pi$
$773$	−5.39187	−	2.51427i	−0.193932	−	0.0904320i	−0.517159	+	0.855890i	$0.673010\pi$
$774$	6.60847	+	37.4785i	0.237536	+	1.34714i
$775$	−6.63439	+	20.2241i	−0.238314	+	0.726470i
$776$	66.5802	+	24.2332i	2.39009	+	0.869921i
$777$	7.52366	+	0.658235i	0.269910	+	0.0236140i
$778$	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
$782$	8.88967	−	4.14532i	0.317894	−	0.148236i
$783$	0.563959	+	0.805417i	0.0201542	+	0.0287832i
$784$	11.9728	−	2.11114i	0.427602	−	0.0753977i
$785$	−7.93207	−	27.8105i	−0.283108	−	0.992600i
$786$	5.67406	−	9.82776i	0.202387	−	0.350545i
$787$	39.0940	+	10.4752i	1.39355	+	0.373401i	0.876024	−	0.482267i	$-0.160187\pi$
$787$	39.0940	+	10.4752i	1.39355	+	0.373401i	0.517526	+	0.855668i	$0.326853\pi$
$788$	−27.1858	+	2.37845i	−0.968454	+	0.0847288i
$789$	−6.00168	−	5.03601i	−0.213665	−	0.179287i
$790$	37.2452	+	76.6383i	1.32512	+	2.72667i
$791$	−28.6442	−	16.5377i	−1.01847	−	0.588015i
$792$	−32.2292	+	69.1156i	−1.14521	+	2.45592i
$793$	6.47735	−	9.25061i	0.230017	−	0.328499i
$794$	13.2205	−	74.9775i	0.469180	−	2.66085i
$795$	−8.09899	+	3.09580i	−0.287241	+	0.109797i
$796$	57.5306	−	48.2739i	2.03912	−	1.71102i
$797$	6.47982	−	6.47982i	0.229527	−	0.229527i	−0.582968	−	0.812495i	$-0.698109\pi$
$797$	6.47982	−	6.47982i	0.229527	−	0.229527i	0.812495	+	0.582968i	$0.198109\pi$
$798$	−18.1003	−	4.63204i	−0.640742	−	0.163972i
$799$			4.92199i			0.174128i
$800$	−5.68643	−	1.32974i	−0.201046	−	0.0470134i
$801$	−3.71072	+	10.1951i	−0.131112	+	0.360227i
$802$	27.2806	−	19.1021i	0.963312	−	0.674518i
$803$	54.7550	+	38.3399i	1.93226	+	1.35299i
$804$	1.78774	+	4.91177i	0.0630486	+	0.173225i
$805$	16.0767	−	3.10145i	0.566630	−	0.109312i
$806$	−17.8634	+	10.3135i	−0.629212	+	0.363276i
$807$	0.220420	+	2.51941i	0.00775915	+	0.0886875i
$808$	6.63964	+	75.8914i	0.233582	+	2.66985i
$809$	−24.5586	+	14.1789i	−0.863435	+	0.498504i	−0.865161	−	0.501494i	$-0.832784\pi$
$809$	−24.5586	+	14.1789i	−0.863435	+	0.498504i	0.00172606	+	0.999999i	$0.499451\pi$
$810$	−19.4497	+	28.7478i	−0.683394	+	1.01009i
$811$	−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	$-0.355625\pi$
$812$	3.22292	+	2.25671i	0.113102	+	0.0791950i
$813$	4.27224	−	2.99146i	0.149834	−	0.104915i
$814$	−20.0024	+	54.9562i	−0.701085	+	1.92621i
$815$	−2.53998	+	1.83993i	−0.0889715	+	0.0644498i
$816$		−	4.41507i		−	0.154558i
$817$	−2.45639	−	24.8490i	−0.0859382	−	0.869357i
$818$	42.1113	−	42.1113i	1.47239	−	1.47239i
$819$	−12.4857	+	10.4767i	−0.436285	+	0.366086i
$820$	−34.9152	−	91.3424i	−1.21929	−	3.18982i
$821$	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	$-0.287428\pi$
$822$	−0.324105	+	0.462870i	−0.0113045	+	0.0161444i
$823$	−21.9698	+	47.1143i	−0.765818	+	1.64230i	0.000632369		1.00000i	$0.499799\pi$
$823$	−21.9698	+	47.1143i	−0.765818	+	1.64230i	−0.766451	+	0.642303i	$0.777979\pi$
$824$	−22.6958	−	13.1034i	−0.790646	−	0.456480i
$825$	13.9702	+	5.97660i	0.486379	+	0.208078i
$826$	14.7479	+	12.3750i	0.513146	+	0.430581i
$827$	45.5690	−	3.98677i	1.58459	−	0.138633i	0.739461	−	0.673199i	$-0.235080\pi$
$827$	45.5690	−	3.98677i	1.58459	−	0.138633i	0.845127	+	0.534566i	$0.179525\pi$
$828$	25.2536	+	6.76668i	0.877622	+	0.235158i
$829$	8.78600	−	15.2178i	0.305150	−	0.528536i	−0.672144	−	0.740420i	$-0.734627\pi$
$829$	8.78600	−	15.2178i	0.305150	−	0.528536i	0.977295	+	0.211884i	$0.0679600\pi$
$830$	−10.2014	+	18.3426i	−0.354094	+	0.636681i
$831$	−10.2881	+	1.81408i	−0.356892	+	0.0629297i
$832$	7.32317	+	10.4586i	0.253885	+	0.362586i
$833$	−3.93035	+	1.83275i	−0.136179	+	0.0635012i
$834$	−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
$838$	−5.99870	−	0.524818i	−0.207222	−	0.0181295i
$839$	−19.4605	−	7.08305i	−0.671852	−	0.244534i	−0.0165070	−	0.999864i	$-0.505255\pi$
$839$	−19.4605	−	7.08305i	−0.671852	−	0.244534i	−0.655345	+	0.755330i	$0.727477\pi$
$840$	4.93130	−	19.6601i	0.170146	−	0.678337i
$841$	−5.01923	−	28.4655i	−0.173077	−	0.981569i
$842$	9.49638	+	4.42824i	0.327267	+	0.152607i
$843$	−2.47897	−	9.25163i	−0.0853802	−	0.318643i
$844$	31.7647	+	55.0181i	1.09339	+	1.89380i
$845$	−20.4803	+	0.328563i	−0.704544	+	0.0113029i
$846$	−12.5318	+	14.9348i	−0.430851	+	0.513468i
$847$	14.7958	−	55.2187i	0.508390	−	1.89734i
$848$	−31.4554	+	8.42845i	−1.08018	+	0.289434i
$849$	0.158719	−	0.0577691i	0.00544723	−	0.00198263i
$850$	20.7262	−	0.665188i	0.710904	−	0.0228158i
$851$	10.1480	+	1.78937i	0.347869	+	0.0613387i
$852$	−8.66401	−	18.5800i	−0.296824	−	0.636541i
$853$	−4.58196	+	52.3721i	−0.156883	+	1.79319i	0.355753	+	0.934580i	$0.384224\pi$
$853$	−4.58196	+	52.3721i	−0.156883	+	1.79319i	−0.512636	+	0.858606i	$0.671331\pi$
$854$	44.1222			1.50983
$855$	16.2776	−	20.5112i	0.556683	−	0.701468i
$856$	−92.7448			−3.16995
$857$	−3.07532	+	35.1511i	−0.105051	+	1.20074i	0.742434	+	0.669919i	$0.233671\pi$
$857$	−3.07532	+	35.1511i	−0.105051	+	1.20074i	−0.847485	+	0.530819i	$0.821884\pi$
$858$	6.22327	+	13.3458i	0.212459	+	0.455619i
$859$	5.19081	+	0.915280i	0.177108	+	0.0312290i	0.261499	−	0.965204i	$-0.415783\pi$
$859$	5.19081	+	0.915280i	0.177108	+	0.0312290i	−0.0843906	+	0.996433i	$0.526894\pi$
$860$	52.4270	−	5.43547i	1.78774	−	0.185348i
$861$	17.3114	−	6.30082i	0.589970	−	0.214731i
$862$	48.9825	−	13.1248i	1.66835	−	0.447033i
$863$	−5.69437	+	21.2517i	−0.193839	+	0.723415i	0.798726	+	0.601695i	$0.205508\pi$
$863$	−5.69437	+	21.2517i	−0.193839	+	0.723415i	−0.992564	+	0.121720i	$0.961159\pi$
$864$	2.39017	−	2.84849i	0.0813152	−	0.0969077i
$865$	1.77980	−	1.83784i	0.0605150	−	0.0624883i
$866$	−28.2177	−	48.8745i	−0.958876	−	1.66082i
$867$	−2.05574	−	7.67213i	−0.0698166	−	0.260559i
$868$	−49.1504	−	22.9192i	−1.66827	−	0.777928i
$869$	−14.5254	−	82.3779i	−0.492742	−	2.79448i
$870$	0.820193	−	0.491247i	0.0278071	−	0.0166548i
$871$	−4.17792	−	1.52064i	−0.141564	−	0.0515249i
$872$	24.6404	+	2.15576i	0.834429	+	0.0730031i
$873$	−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
$877$	−7.62154	+	3.55398i	−0.257361	+	0.120009i	−0.547017	−	0.837121i	$-0.684237\pi$
$877$	−7.62154	+	3.55398i	−0.257361	+	0.120009i	0.289656	+	0.957131i	$0.406459\pi$
$878$	−4.80569	−	6.86324i	−0.162184	−	0.231623i
$879$	9.79692	−	1.72746i	0.330442	−	0.0582658i
$880$	49.8752	+	27.7384i	1.68129	+	0.935061i
$881$	−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	$0.214710\pi$
$882$	−16.5922	−	4.44586i	−0.558687	−	0.149700i
$883$	−3.32772	+	0.291138i	−0.111987	+	0.00979757i	−0.143011	−	0.989721i	$-0.545679\pi$
$883$	−3.32772	+	0.291138i	−0.111987	+	0.00979757i	0.0310246	+	0.999519i	$0.490123\pi$
$884$	10.3594	+	8.69259i	0.348425	+	0.292363i
$885$	2.83139	−	1.37602i	0.0951762	−	0.0462543i
$886$	6.23032	+	3.59708i	0.209312	+	0.120846i
$887$	−21.3372	+	45.7577i	−0.716432	+	1.53639i	0.122687	+	0.992445i	$0.460849\pi$
$887$	−21.3372	+	45.7577i	−0.716432	+	1.53639i	−0.839119	+	0.543948i	$0.816929\pi$
$888$	7.31682	−	10.4495i	0.245536	−	0.350662i
$889$	6.14749	−	34.8642i	0.206180	−	1.16931i
$890$	20.3865	+	9.11118i	0.683359	+	0.305408i
$891$	26.1018	−	21.9020i	0.874443	−	0.733745i
$892$	−34.7447	+	34.7447i	−1.16334	+	1.16334i
$893$	8.94276	−	9.14656i	0.299258	−	0.306078i
$894$			7.53311i			0.251945i
$895$	−23.3692	−	3.73515i	−0.781146	−	0.124852i
$896$	−19.5348	+	53.6714i	−0.652612	+	1.79304i
$897$	2.12536	−	1.48819i	0.0709637	−	0.0496893i
$898$	7.92486	+	5.54904i	0.264456	+	0.185174i
$899$	−0.449645	−	1.23539i	−0.0149965	−	0.0412026i
$900$	43.4595	+	34.1523i	1.44865	+	1.13841i
$901$	10.0599	−	5.80807i	0.335143	−	0.193495i
$902$	12.4333	+	142.114i	0.413985	+	4.73187i
$903$	0.865430	+	9.89191i	0.0287997	+	0.329182i
$904$	−48.3819	+	27.9333i	−1.60916	+	0.929048i
$905$	1.60894	+	8.34010i	0.0534828	+	0.277234i
$906$	−3.90983	−	10.7422i	−0.129895	−	0.356884i
$907$	−7.47829	−	5.23635i	−0.248312	−	0.173870i	0.442794	−	0.896624i	$-0.353987\pi$
$907$	−7.47829	−	5.23635i	−0.248312	−	0.173870i	−0.691106	+	0.722753i	$0.742876\pi$
$908$	27.9767	−	19.5895i	0.928441	−	0.650101i
$909$	13.3856	−	36.7767i	0.443973	−	1.21981i
$910$	19.6794	+	27.1669i	0.652365	+	0.900575i
$911$			33.9640i			1.12528i	0.826703	+	0.562639i	$0.190214\pi$
$911$			33.9640i			1.12528i	−0.826703	+	0.562639i	$0.809786\pi$
$912$	−8.02172	+	8.20453i	−0.265626	+	0.271679i
$913$	14.5693	−	14.5693i	0.482174	−	0.482174i
$914$	65.4092	−	54.8849i	2.16354	−	1.81543i
$915$	2.94380	−	6.58684i	0.0973190	−	0.217754i
$916$	−13.3005	+	75.4306i	−0.439459	+	2.49230i
$917$	−14.5564	+	20.7887i	−0.480696	+	0.686505i
$918$	−5.58023	+	11.9668i	−0.184175	+	0.394965i
$919$	−4.54228	−	2.62249i	−0.149836	−	0.0865079i	0.423208	−	0.906033i	$-0.360904\pi$
$919$	−4.54228	−	2.62249i	−0.149836	−	0.0865079i	−0.573044	+	0.819525i	$0.694237\pi$
$920$	9.04059	−	26.1359i	0.298059	−	0.861674i
$921$	−2.99554	−	2.51356i	−0.0987066	−	0.0828246i
$922$	−19.7651	+	1.72923i	−0.650930	+	0.0569490i
$923$	16.8437	+	4.51326i	0.554417	+	0.148556i
$924$	−19.3578	+	33.5288i	−0.636826	+	1.10302i
$925$	18.2371	+	11.9166i	0.599632	+	0.391817i
$926$	−47.3337	+	8.34620i	−1.55548	+	0.274273i
$927$	7.72226	+	11.0285i	0.253632	+	0.362225i
$928$	0.326913	−	0.152442i	0.0107315	−	0.00500416i
$929$	8.88045	+	10.5833i	0.291358	+	0.347227i	0.891791	−	0.452448i	$-0.149449\pi$
$929$	8.88045	+	10.5833i	0.291358	+	0.347227i	−0.600433	+	0.799675i	$0.705005\pi$
$930$	−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
$933$	7.54843	+	0.660402i	0.247125	+	0.0216206i
$934$	−42.1927	−	15.3569i	−1.38059	−	0.502493i
$935$	−19.7454	−	4.95271i	−0.645745	−	0.161971i
$936$	4.78051	+	27.1116i	0.156256	+	0.886171i
$937$	4.86445	+	2.26833i	0.158915	+	0.0741031i	0.500448	−	0.865766i	$-0.333169\pi$
$937$	4.86445	+	2.26833i	0.158915	+	0.0741031i	−0.341534	+	0.939870i	$0.610946\pi$
$938$	−4.49595	−	16.7791i	−0.146798	−	0.547858i
$939$	−6.40766	−	11.0984i	−0.209106	−	0.362182i
$940$	19.3969	+	18.7843i	0.632656	+	0.612677i
$941$	−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	$0.293187\pi$
$942$	4.63420	−	17.2951i	0.150990	−	0.563504i
$943$	24.2791	−	6.50558i	0.790638	−	0.211851i
$944$	11.1105	−	4.04390i	0.361617	−	0.131618i
$945$	−13.8949	+	17.1093i	−0.452000	+	0.556565i
$946$	−75.7240	−	13.3522i	−2.46200	−	0.434117i
$947$	−24.4415	−	52.4149i	−0.794241	−	1.70326i	−0.707160	−	0.707054i	$-0.750024\pi$
$947$	−24.4415	−	52.4149i	−0.794241	−	1.70326i	−0.0870813	−	0.996201i	$-0.527754\pi$
$948$	−3.09411	+	35.3658i	−0.100492	+	1.14863i
$949$	24.1303			0.783303
$950$	−39.7242	−	36.4213i	−1.28882	−	1.18166i
$951$	16.4852			0.534569
$952$	−2.36672	+	27.0518i	−0.0767060	+	0.876753i
$953$	−13.7166	−	29.4153i	−0.444324	−	0.952855i	−0.993142	−	0.116914i	$-0.962700\pi$
$953$	−13.7166	−	29.4153i	−0.444324	−	0.952855i	0.548818	−	0.835942i	$-0.315078\pi$
$954$	45.3123	+	7.98978i	1.46704	+	0.258679i
$955$	−19.0866	+	23.5021i	−0.617629	+	0.760510i
$956$	−56.9598	+	20.7317i	−1.84221	+	0.670510i
$957$	−0.906564	+	0.242913i	−0.0293050	+	0.00785226i
$958$	18.2511	−	68.1141i	0.589667	−	2.20067i
$959$	0.812272	−	0.968029i	0.0262296	−	0.0312593i
$960$	5.85954	+	5.67450i	0.189116	+	0.183144i
$961$	−6.43945	−	11.1534i	−0.207724	−	0.359789i
$962$	5.46425	+	20.3929i	0.176175	+	0.657492i
$963$	43.1821	+	20.1361i	1.39152	+	0.648878i
$964$	−14.4028	−	81.6824i	−0.463883	−	2.63081i
$965$	32.9210	+	8.25752i	1.05977	+	0.265819i
$966$	9.52587	+	3.46713i	0.306490	+	0.111553i
$967$	−12.4197	−	1.08658i	−0.399391	−	0.0349422i	−0.114309	−	0.993445i	$-0.536465\pi$
$967$	−12.4197	−	1.08658i	−0.399391	−	0.0349422i	−0.285082	+	0.958503i	$0.592021\pi$
$968$	−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	$0.476152\pi$
$972$	−48.7245	+	22.7206i	−1.56284	+	0.728763i
$973$	7.51076	+	10.7265i	0.240784	+	0.343875i
$974$	38.5326	−	6.79433i	1.23466	−	0.217704i
$975$	5.36865	−	1.12531i	0.171934	−	0.0360387i
$976$	13.5487	−	23.4671i	0.433684	−	0.751162i
$977$	30.2660	+	8.10975i	0.968296	+	0.259454i	0.708108	−	0.706104i	$-0.249549\pi$
$977$	30.2660	+	8.10975i	0.968296	+	0.259454i	0.260188	+	0.965558i	$0.416216\pi$
$978$	−1.93445	+	0.169243i	−0.0618569	+	0.00541178i
$979$	−16.7924	−	14.0905i	−0.536688	−	0.450334i
$980$	−7.77721	+	22.4835i	−0.248434	+	0.718209i
$981$	−11.0046	−	6.35348i	−0.351348	−	0.202851i
$982$	0.0915364	−	0.196300i	0.00292104	−	0.00626420i
$983$	12.5559	−	17.9317i	0.400472	−	0.571934i	−0.567379	−	0.823457i	$-0.692043\pi$
$983$	12.5559	−	17.9317i	0.400472	−	0.571934i	0.967851	+	0.251523i	$0.0809315\pi$
$984$	5.40333	−	30.6438i	0.172252	−	0.976890i
$985$	6.05095	−	13.5392i	0.192799	−	0.431394i
$986$	−0.981192	+	0.823318i	−0.0312475	+	0.0262198i
$987$	−3.59695	+	3.59695i	−0.114492	+	0.114492i
$988$	−3.45742	−	34.9755i	−0.109995	−	1.11272i
$989$			13.5482i			0.430806i
$990$	−47.3034	−	65.3012i	−1.50340	−	2.07541i
$991$	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	$-0.223187\pi$
$992$	−4.07275	+	2.85177i	−0.129310	+	0.0905438i
$993$	−4.69358	−	3.28648i	−0.148946	−	0.104293i
$994$	23.3022	+	64.0221i	0.739100	+	2.03066i
$995$	7.73064	+	40.0726i	0.245078	+	1.27039i
$996$	−7.57296	+	4.37225i	−0.239958	+	0.138540i
$997$	−3.55287	−	40.6095i	−0.112521	−	1.28612i	−0.817102	−	0.576494i	$-0.804421\pi$
$997$	−3.55287	−	40.6095i	−0.112521	−	1.28612i	0.704581	−	0.709624i	$-0.251135\pi$
$998$	−1.72127	−	19.6742i	−0.0544857	−	0.622774i
$999$	−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.32.8	yes	96
3.2	odd	2		855.2.dl.a.127.1		96
5.2	odd	4		475.2.bb.b.393.8		96
5.3	odd	4	inner	95.2.r.a.13.1	yes	96
5.4	even	2		475.2.bb.b.32.1		96
15.8	even	4		855.2.dl.a.298.8		96
19.3	odd	18	inner	95.2.r.a.22.1	yes	96
57.41	even	18		855.2.dl.a.307.8		96
95.3	even	36	inner	95.2.r.a.3.8	✓	96
95.22	even	36		475.2.bb.b.193.1		96
95.79	odd	18		475.2.bb.b.307.8		96
285.98	odd	36		855.2.dl.a.478.1		96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.r.a.3.8	✓	96	95.3	even	36	inner
95.2.r.a.13.1	yes	96	5.3	odd	4	inner
95.2.r.a.22.1	yes	96	19.3	odd	18	inner
95.2.r.a.32.8	yes	96	1.1	even	1	trivial
475.2.bb.b.32.1		96	5.4	even	2
475.2.bb.b.193.1		96	95.22	even	36
475.2.bb.b.307.8		96	95.79	odd	18
475.2.bb.b.393.8		96	5.2	odd	4
855.2.dl.a.127.1		96	3.2	odd	2
855.2.dl.a.298.8		96	15.8	even	4
855.2.dl.a.307.8		96	57.41	even	18
855.2.dl.a.478.1		96	285.98	odd	36

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+(0.215520 - 2.46340i) q^{2} +(0.236608 + 0.507407i) q^{3} +(-4.05227 - 0.714525i) q^{4} +(1.40966 - 1.73576i) q^{5} +(1.30094 - 0.473503i) q^{6} +(-2.99058 + 0.801323i) q^{7} +(-1.35349 + 5.05128i) q^{8} +(1.72688 - 2.05802i) q^{9} +(-3.97207 - 3.84663i) q^{10} +(2.71405 + 4.70087i) q^{11} +(-0.596244 - 2.22521i) q^{12} +(1.77593 + 0.828132i) q^{13} +(1.32945 + 7.53969i) q^{14} +(1.21427 + 0.304574i) q^{15} +(4.41834 + 1.60814i) q^{16} +(-1.67081 - 0.146177i) 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} +(12.1651 - 5.67266i) q^{22} +(-1.35652 - 1.93732i) q^{23} +(-2.88330 + 0.508403i) q^{24} +(-1.02575 - 4.89365i) q^{25} +(2.42277 - 4.19636i) q^{26} +(3.07520 + 0.823998i) q^{27} +(12.6912 - 1.11034i) q^{28} +(0.236581 + 0.198515i) q^{29} +(1.01199 - 2.92560i) q^{30} +(-3.68657 - 2.12844i) q^{31} +(0.493605 - 1.05854i) q^{32} +(-1.74309 + 2.48939i) q^{33} +(-0.720185 + 4.08437i) q^{34} +(-2.82478 + 6.32052i) q^{35} +(-8.46832 + 7.10576i) q^{36} +(-3.08090 + 3.08090i) q^{37} +(8.75921 - 6.28150i) q^{38} +1.09706i q^{39} +(6.85987 + 9.46989i) q^{40} +(-3.63501 + 9.98710i) q^{41} +(-3.51113 + 2.45852i) q^{42} +(-4.69255 - 3.28576i) q^{43} +(-7.63918 - 20.9885i) q^{44} +(-1.13792 - 5.89856i) q^{45} +(-5.06474 + 2.92413i) q^{46} +(-0.255773 - 2.92349i) q^{47} +(0.229430 + 2.62240i) q^{48} +(2.23925 - 1.29283i) q^{49} +(-12.2761 + 1.47214i) q^{50} +(-0.321156 - 0.882368i) q^{51} +(-6.60485 - 4.62477i) q^{52} +(-5.67339 + 3.97255i) q^{53} +(2.69260 - 7.39787i) q^{54} +(11.9855 + 1.91566i) q^{55} -16.1908i q^{56} +(-1.00637 + 2.22321i) q^{57} +(0.540010 - 0.540010i) q^{58} +(1.92632 - 1.61638i) q^{59} +(-4.70294 - 2.10185i) q^{60} +(1.00075 - 5.67553i) q^{61} +(-6.03774 + 8.62279i) q^{62} +(-3.51524 + 7.53846i) q^{63} +(5.64270 + 3.25782i) q^{64} +(3.94089 - 1.91522i) q^{65} +(5.75669 + 4.83044i) q^{66} +(-2.26031 + 0.197751i) q^{67} +(6.66614 + 1.78619i) q^{68} +(0.662044 - 1.14669i) q^{69} +(14.9612 + 8.32075i) q^{70} +(8.76383 - 1.54530i) q^{71} +(8.05832 + 11.5085i) q^{72} +(11.1606 - 5.20427i) 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} +(2.70251 + 0.236439i) q^{78} +(-14.4810 - 5.27064i) q^{79} +(9.01969 - 5.40226i) q^{80} +(-1.09003 - 6.18188i) q^{81} +(23.8188 + 11.1069i) q^{82} +(-0.982433 - 3.66649i) q^{83} +(3.56623 + 6.17689i) q^{84} +(-2.60900 + 2.69407i) q^{85} +(-9.10547 + 10.8515i) q^{86} +(-0.0447510 + 0.167013i) q^{87} +(-27.4188 + 7.34685i) q^{88} +(-3.79487 + 1.38122i) q^{89} +(-14.7758 + 1.53191i) q^{90} +(-5.97467 - 1.05350i) q^{91} +(4.11274 + 8.81981i) q^{92} +(0.207716 - 2.37420i) q^{93} -7.25686 q^{94} +(9.74316 - 0.266128i) q^{95} +0.653901 q^{96} +(1.18086 - 13.4973i) q^{97} +(-2.70216 - 5.79481i) 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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