LMFDB - Embedded newform 522.2.x.a.101.23

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [522,2,Mod(11,522)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(522, base_ring=CyclotomicField(84)) chi = DirichletCharacter(H, H._module([14, 75])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("522.11"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 522 = 2 \cdot 3^{2} \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	522.x (of order $84$, degree $24$, 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:	$4.16819098551$
Analytic rank:	$0$
Dimension:	$720$
Relative dimension:	$30$ over $\Q(\zeta_{84})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{84}]$

Embedding invariants

Embedding label			101.23
Character	$\chi$	$=$	522.101
Dual form			522.2.x.a.491.23

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.399892 - 0.916562i) q^{2} +(-0.0636957 - 1.73088i) q^{3} +(-0.680173 - 0.733052i) q^{4} +(3.81449 + 0.574942i) q^{5} +(-1.61193 - 0.633784i) q^{6} +(1.40623 + 1.30480i) q^{7} +(-0.943883 + 0.330279i) q^{8} +(-2.99189 + 0.220499i) q^{9} +(2.05235 - 3.26630i) q^{10} +(1.14711 - 0.987164i) q^{11} +(-1.22550 + 1.22399i) q^{12} +(1.94296 - 2.84979i) q^{13} +(1.75827 - 0.767124i) q^{14} +(0.752188 - 6.63904i) q^{15} +(-0.0747301 + 0.997204i) q^{16} +(4.87547 + 4.87547i) q^{17} +(-0.994330 + 2.83043i) q^{18} +(-2.29219 - 1.44028i) q^{19} +(-2.17305 - 3.18728i) q^{20} +(2.16887 - 2.51713i) q^{21} +(-0.446079 - 1.44615i) q^{22} +(-5.10497 - 2.00355i) q^{23} +(0.631794 + 1.61271i) q^{24} +(9.44190 + 2.91244i) q^{25} +(-1.83504 - 2.92045i) q^{26} +(0.572228 + 5.16455i) q^{27} -1.91833i q^{28} +(-4.71386 - 2.60376i) q^{29} +(-5.78430 - 3.34433i) q^{30} +(-7.18660 + 5.30395i) q^{31} +(0.884115 + 0.467269i) q^{32} +(-1.78173 - 1.92262i) q^{33} +(6.41833 - 2.51901i) q^{34} +(4.61389 + 5.78563i) q^{35} +(2.19664 + 2.04323i) q^{36} +(0.506378 + 1.44714i) q^{37} +(-2.23673 + 1.52498i) q^{38} +(-5.05640 - 3.18150i) q^{39} +(-3.79032 + 0.717168i) q^{40} +(-7.89425 - 2.11526i) q^{41} +(-1.43979 - 2.99449i) q^{42} +(-0.736824 + 0.998361i) q^{43} +(-1.50387 - 0.169446i) q^{44} +(-11.5393 - 0.879068i) q^{45} +(-3.87782 + 3.87782i) q^{46} +(-1.21635 - 1.41342i) q^{47} +(1.73080 + 0.0658312i) q^{48} +(-0.248105 - 3.31073i) q^{49} +(6.44518 - 7.48943i) q^{50} +(8.12830 - 8.74940i) q^{51} +(-3.41059 + 0.514064i) q^{52} +(0.172770 + 0.137780i) q^{53} +(4.96246 + 1.54078i) q^{54} +(4.94318 - 3.10601i) q^{55} +(-1.75827 - 0.767124i) q^{56} +(-2.34695 + 4.05925i) q^{57} +(-4.27154 + 3.27932i) q^{58} +(-4.12263 + 2.38020i) q^{59} +(-5.37838 + 3.96430i) q^{60} +(9.03844 - 0.338195i) q^{61} +(1.98754 + 8.70797i) q^{62} +(-4.49500 - 3.59372i) q^{63} +(0.781831 - 0.623490i) q^{64} +(9.04985 - 9.75342i) q^{65} +(-2.47470 + 0.864223i) q^{66} +(-1.32045 + 0.0989543i) q^{67} +(0.257811 - 6.89014i) q^{68} +(-3.14275 + 8.96371i) q^{69} +(7.14795 - 1.91529i) q^{70} +(4.87511 - 2.34773i) q^{71} +(2.75116 - 1.19628i) q^{72} +(-1.21731 + 10.8039i) q^{73} +(1.52889 + 0.114575i) q^{74} +(4.43968 - 16.5283i) q^{75} +(0.503287 + 2.65993i) q^{76} +(2.90115 + 0.108553i) q^{77} +(-4.93806 + 3.36225i) q^{78} +(-2.70882 + 14.3164i) q^{79} +(-0.858391 + 3.76086i) q^{80} +(8.90276 - 1.31942i) q^{81} +(-5.09561 + 6.38970i) q^{82} +(3.30483 - 10.7140i) q^{83} +(-3.32040 + 0.122189i) q^{84} +(15.7943 + 21.4005i) q^{85} +(0.620410 + 1.07458i) q^{86} +(-4.20654 + 8.32496i) q^{87} +(-0.756694 + 1.31063i) q^{88} +(-14.6988 + 1.65615i) q^{89} +(-5.42019 + 10.2249i) q^{90} +(6.45065 - 1.47232i) q^{91} +(2.00355 + 5.10497i) q^{92} +(9.63825 + 12.1013i) q^{93} +(-1.78190 + 0.549642i) q^{94} +(-7.91546 - 6.81181i) q^{95} +(0.752471 - 1.56006i) q^{96} +(6.65789 + 12.5973i) q^{97} +(-3.13371 - 1.09653i) q^{98} +(-3.21434 + 3.20642i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 720 q + 24 q^{11} - 12 q^{14} - 20 q^{15} - 60 q^{16} + 84 q^{21} + 20 q^{24} + 60 q^{25} - 144 q^{27} - 12 q^{29} + 72 q^{30} + 84 q^{33} - 40 q^{36} + 40 q^{39} - 12 q^{41} - 104 q^{45} + 24 q^{46} - 24 q^{47}+ \cdots - 84 q^{99}+O(q^{100}) $ 720 * q + 24 * q^11 - 12 * q^14 - 20 * q^15 - 60 * q^16 + 84 * q^21 + 20 * q^24 + 60 * q^25 - 144 * q^27 - 12 * q^29 + 72 * q^30 + 84 * q^33 - 40 * q^36 + 40 * q^39 - 12 * q^41 - 104 * q^45 + 24 * q^46 - 24 * q^47 + 60 * q^49 + 16 * q^54 - 144 * q^55 + 12 * q^56 + 12 * q^58 + 120 * q^59 - 16 * q^60 - 12 * q^61 + 36 * q^65 - 48 * q^66 - 36 * q^68 + 52 * q^69 - 180 * q^74 - 184 * q^75 - 132 * q^77 - 68 * q^78 + 12 * q^79 - 216 * q^81 + 96 * q^82 - 432 * q^83 - 80 * q^84 - 48 * q^85 - 200 * q^87 - 112 * q^90 - 252 * q^92 - 112 * q^93 + 192 * q^95 + 24 * q^97 - 84 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/522\mathbb{Z}\right)^\times$.

$n$	$379$	$407$
$\chi(n)$	$e\left(\frac{13}{28}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	0.399892	−	0.916562i	0.282766	−	0.648107i
$2$	0.399892	−	0.916562i	0.282766	−	0.648107i
$3$	−0.0636957	−	1.73088i	−0.0367747	−	0.999324i
$3$	−0.0636957	−	1.73088i	−0.0367747	−	0.999324i
$4$	−0.680173	−	0.733052i	−0.340086	−	0.366526i
$5$	3.81449	+	0.574942i	1.70589	+	0.257122i	0.928349	−	0.371709i	$-0.121228\pi$
$5$	3.81449	+	0.574942i	1.70589	+	0.257122i	0.777542	+	0.628831i	$0.216466\pi$
$6$	−1.61193	−	0.633784i	−0.658068	−	0.258741i
$7$	1.40623	+	1.30480i	0.531507	+	0.493166i	0.899655	−	0.436601i	$-0.143818\pi$
$7$	1.40623	+	1.30480i	0.531507	+	0.493166i	−0.368149	+	0.929767i	$0.620008\pi$
$8$	−0.943883	+	0.330279i	−0.333713	+	0.116771i
$9$	−2.99189	+	0.220499i	−0.997295	+	0.0734997i
$10$	2.05235	−	3.26630i	0.649011	−	1.03290i
$11$	1.14711	−	0.987164i	0.345865	−	0.297641i	−0.462151	−	0.886801i	$-0.652922\pi$
$11$	1.14711	−	0.987164i	0.345865	−	0.297641i	0.808016	+	0.589160i	$0.200541\pi$
$12$	−1.22550	+	1.22399i	−0.353771	+	0.353335i
$13$	1.94296	−	2.84979i	0.538879	−	0.790390i	−0.456158	−	0.889899i	$-0.650775\pi$
$13$	1.94296	−	2.84979i	0.538879	−	0.790390i	0.995037	+	0.0995087i	$0.0317271\pi$
$14$	1.75827	−	0.767124i	0.469917	−	0.205023i
$15$	0.752188	−	6.63904i	0.194214	−	1.71419i
$16$	−0.0747301	+	0.997204i	−0.0186825	+	0.249301i
$17$	4.87547	+	4.87547i	1.18248	+	1.18248i	0.979101	+	0.203374i	$0.0651908\pi$
$17$	4.87547	+	4.87547i	1.18248	+	1.18248i	0.203374	+	0.979101i	$0.434809\pi$
$18$	−0.994330	+	2.83043i	−0.234366	+	0.667138i
$19$	−2.29219	−	1.44028i	−0.525865	−	0.330423i	0.242798	−	0.970077i	$-0.421935\pi$
$19$	−2.29219	−	1.44028i	−0.525865	−	0.330423i	−0.768663	+	0.639654i	$0.779078\pi$
$20$	−2.17305	−	3.18728i	−0.485909	−	0.712697i
$21$	2.16887	−	2.51713i	0.473287	−	0.549283i
$22$	−0.446079	−	1.44615i	−0.0951044	−	0.308321i
$23$	−5.10497	−	2.00355i	−1.06446	−	0.417770i	−0.232495	−	0.972598i	$-0.574689\pi$
$23$	−5.10497	−	2.00355i	−1.06446	−	0.417770i	−0.831965	+	0.554827i	$0.812784\pi$
$24$	0.631794	+	1.61271i	0.128965	+	0.329193i
$25$	9.44190	+	2.91244i	1.88838	+	0.582488i
$26$	−1.83504	−	2.92045i	−0.359881	−	0.572747i
$27$	0.572228	+	5.16455i	0.110125	+	0.993918i
$28$		−	1.91833i		−	0.362530i
$29$	−4.71386	−	2.60376i	−0.875341	−	0.483506i
$29$	−4.71386	−	2.60376i	−0.875341	−	0.483506i
$30$	−5.78430	−	3.34433i	−1.05606	−	0.610588i
$31$	−7.18660	+	5.30395i	−1.29075	+	0.952618i	−0.999991	−	0.00417830i	$-0.998670\pi$
$31$	−7.18660	+	5.30395i	−1.29075	+	0.952618i	−0.290760	+	0.956796i	$0.593908\pi$
$32$	0.884115	+	0.467269i	0.156291	+	0.0826022i
$33$	−1.78173	−	1.92262i	−0.310159	−	0.334686i
$34$	6.41833	−	2.51901i	1.10074	−	0.432007i
$35$	4.61389	+	5.78563i	0.779889	+	0.977950i
$36$	2.19664	+	2.04323i	0.366106	+	0.340538i
$37$	0.506378	+	1.44714i	0.0832480	+	0.237909i	0.977982	−	0.208691i	$-0.0669204\pi$
$37$	0.506378	+	1.44714i	0.0832480	+	0.237909i	−0.894734	+	0.446600i	$0.852635\pi$
$38$	−2.23673	+	1.52498i	−0.362846	+	0.247384i
$39$	−5.05640	−	3.18150i	−0.809673	−	0.509448i
$40$	−3.79032	+	0.717168i	−0.599303	+	0.113394i
$41$	−7.89425	−	2.11526i	−1.23287	−	0.330348i	−0.417176	−	0.908826i	$-0.636980\pi$
$41$	−7.89425	−	2.11526i	−1.23287	−	0.330348i	−0.815698	+	0.578478i	$0.803647\pi$
$42$	−1.43979	−	2.99449i	−0.222165	−	0.462059i
$43$	−0.736824	+	0.998361i	−0.112365	+	0.152249i	−0.857171	−	0.515032i	$-0.827780\pi$
$43$	−0.736824	+	0.998361i	−0.112365	+	0.152249i	0.744806	+	0.667281i	$0.232542\pi$
$44$	−1.50387	−	0.169446i	−0.226717	−	0.0255449i
$45$	−11.5393	−	0.879068i	−1.72018	−	0.131044i
$46$	−3.87782	+	3.87782i	−0.571754	+	0.571754i
$47$	−1.21635	−	1.41342i	−0.177422	−	0.206169i	0.662218	−	0.749311i	$-0.269615\pi$
$47$	−1.21635	−	1.41342i	−0.177422	−	0.206169i	−0.839640	+	0.543143i	$0.817234\pi$
$48$	1.73080	+	0.0658312i	0.249819	+	0.00950191i
$49$	−0.248105	−	3.31073i	−0.0354436	−	0.472962i
$50$	6.44518	−	7.48943i	0.911486	−	1.05917i
$51$	8.12830	−	8.74940i	1.13819	−	1.22516i
$52$	−3.41059	+	0.514064i	−0.472964	+	0.0712878i
$53$	0.172770	+	0.137780i	0.0237318	+	0.0189255i	0.635284	−	0.772279i	$-0.280883\pi$
$53$	0.172770	+	0.137780i	0.0237318	+	0.0189255i	−0.611552	+	0.791204i	$0.709455\pi$
$54$	4.96246	+	1.54078i	0.675305	+	0.209673i
$55$	4.94318	−	3.10601i	0.666539	−	0.418814i
$56$	−1.75827	−	0.767124i	−0.234958	−	0.102511i
$57$	−2.34695	+	4.05925i	−0.310861	+	0.537660i
$58$	−4.27154	+	3.27932i	−0.560881	+	0.430596i
$59$	−4.12263	+	2.38020i	−0.536721	+	0.309876i	−0.743749	−	0.668459i	$-0.766954\pi$
$59$	−4.12263	+	2.38020i	−0.536721	+	0.309876i	0.207028	+	0.978335i	$0.433621\pi$
$60$	−5.37838	+	3.96430i	−0.694346	+	0.511789i
$61$	9.03844	−	0.338195i	1.15725	−	0.0433014i	0.548142	−	0.836385i	$-0.315335\pi$
$61$	9.03844	−	0.338195i	1.15725	−	0.0433014i	0.609112	+	0.793084i	$0.291526\pi$
$62$	1.98754	+	8.70797i	0.252418	+	1.10591i
$63$	−4.49500	−	3.59372i	−0.566317	−	0.452767i
$64$	0.781831	−	0.623490i	0.0977289	−	0.0779362i
$65$	9.04985	−	9.75342i	1.12250	−	1.20976i
$66$	−2.47470	+	0.864223i	−0.304615	+	0.106378i
$67$	−1.32045	+	0.0989543i	−0.161319	+	0.0120892i	−0.155145	−	0.987892i	$-0.549584\pi$
$67$	−1.32045	+	0.0989543i	−0.161319	+	0.0120892i	−0.00617431	+	0.999981i	$0.501965\pi$
$68$	0.257811	−	6.89014i	0.0312641	−	0.835552i
$69$	−3.14275	+	8.96371i	−0.378342	+	1.07910i
$70$	7.14795	−	1.91529i	0.854343	−	0.228920i
$71$	4.87511	−	2.34773i	0.578569	−	0.278624i	−0.121626	−	0.992576i	$-0.538811\pi$
$71$	4.87511	−	2.34773i	0.578569	−	0.278624i	0.700195	+	0.713952i	$0.253096\pi$
$72$	2.75116	−	1.19628i	0.324228	−	0.140983i
$73$	−1.21731	+	10.8039i	−0.142476	+	1.26451i	0.695392	+	0.718631i	$0.255231\pi$
$73$	−1.21731	+	10.8039i	−0.142476	+	1.26451i	−0.837867	+	0.545874i	$0.816198\pi$
$74$	1.52889	+	0.114575i	0.177730	+	0.0133190i
$75$	4.43968	−	16.5283i	0.512650	−	1.90852i
$76$	0.503287	+	2.65993i	0.0577309	+	0.305115i
$77$	2.90115	+	0.108553i	0.330616	+	0.0123708i
$78$	−4.93806	+	3.36225i	−0.559125	+	0.380700i
$79$	−2.70882	+	14.3164i	−0.304766	+	1.61072i	0.410492	+	0.911864i	$0.365357\pi$
$79$	−2.70882	+	14.3164i	−0.304766	+	1.61072i	−0.715258	+	0.698861i	$0.753691\pi$
$80$	−0.858391	+	3.76086i	−0.0959711	+	0.420477i
$81$	8.90276	−	1.31942i	0.989196	−	0.146602i
$82$	−5.09561	+	6.38970i	−0.562716	+	0.705624i
$83$	3.30483	−	10.7140i	0.362753	−	1.17602i	−0.571861	−	0.820351i	$-0.693778\pi$
$83$	3.30483	−	10.7140i	0.362753	−	1.17602i	0.934614	−	0.355665i	$-0.115745\pi$
$84$	−3.32040	+	0.122189i	−0.362285	+	0.0133319i
$85$	15.7943	+	21.4005i	1.71313	+	2.32121i
$86$	0.620410	+	1.07458i	0.0669006	+	0.115875i
$87$	−4.20654	+	8.32496i	−0.450989	+	0.892530i
$88$	−0.756694	+	1.31063i	−0.0806639	+	0.139714i
$89$	−14.6988	+	1.65615i	−1.55807	+	0.175552i	−0.848541	−	0.529129i	$-0.822519\pi$
$89$	−14.6988	+	1.65615i	−1.55807	+	0.175552i	−0.709525	+	0.704681i	$0.751090\pi$
$90$	−5.42019	+	10.2249i	−0.571338	+	1.07780i
$91$	6.45065	−	1.47232i	0.676211	−	0.154341i
$92$	2.00355	+	5.10497i	0.208885	+	0.532230i
$93$	9.63825	+	12.1013i	0.999440	+	1.25485i
$94$	−1.78190	+	0.549642i	−0.183788	+	0.0566912i
$95$	−7.91546	−	6.81181i	−0.812109	−	0.698876i
$96$	0.752471	−	1.56006i	0.0767988	−	0.159223i
$97$	6.65789	+	12.5973i	0.676006	+	1.27907i	0.948460	+	0.316898i	$0.102641\pi$
$97$	6.65789	+	12.5973i	0.676006	+	1.27907i	−0.272453	+	0.962169i	$0.587835\pi$
$98$	−3.13371	−	1.09653i	−0.316552	−	0.110766i
$99$	−3.21434	+	3.20642i	−0.323053	+	0.322257i
$100$	−4.28715	−	8.90237i	−0.428715	−	0.890237i
$101$	−0.880435	−	0.649791i	−0.0876066	−	0.0646566i	0.549136	−	0.835733i	$-0.314957\pi$
$101$	−0.880435	−	0.649791i	−0.0876066	−	0.0646566i	−0.636743	+	0.771076i	$0.719719\pi$
$102$	−4.76892	−	10.9489i	−0.472194	−	1.08410i
$103$	−0.286287	−	0.195187i	−0.0282087	−	0.0192323i	0.549134	−	0.835735i	$-0.314958\pi$
$103$	−0.286287	−	0.195187i	−0.0282087	−	0.0192323i	−0.577342	+	0.816502i	$0.695910\pi$
$104$	−0.892697	+	3.33159i	−0.0875361	+	0.326689i
$105$	9.72034	−	8.35460i	0.948608	−	0.815325i
$106$	0.195373	−	0.103258i	0.0189763	−	0.0100293i
$107$	3.40087	−	7.06197i	0.328774	−	0.682707i	−0.669413	−	0.742890i	$-0.733454\pi$
$107$	3.40087	−	7.06197i	0.328774	−	0.682707i	0.998187	+	0.0601836i	$0.0191686\pi$
$108$	3.39667	−	3.93226i	0.326845	−	0.378382i
$109$	17.2839	+	3.94494i	1.65550	+	0.377856i	0.945314	−	0.326161i	$-0.105755\pi$
$109$	17.2839	+	3.94494i	1.65550	+	0.377856i	0.710183	+	0.704017i	$0.248612\pi$
$110$	−0.870110	−	5.77280i	−0.0829617	−	0.550415i
$111$	2.47258	−	0.968655i	0.234687	−	0.0919407i
$112$	−1.40623	+	1.30480i	−0.132877	+	0.123292i
$113$	5.36931	−	10.1592i	0.505102	−	0.955699i	−0.491304	−	0.870988i	$-0.663480\pi$
$113$	5.36931	−	10.1592i	0.505102	−	0.955699i	0.996406	−	0.0847109i	$-0.0269967\pi$
$114$	2.78203	+	3.77438i	0.260561	+	0.353503i
$115$	−18.3209	−	10.5776i	−1.70844	−	0.986366i
$116$	1.29754	+	5.22651i	0.120474	+	0.485269i
$117$	−5.18472	+	8.95467i	−0.479328	+	0.827860i
$118$	0.532996	+	4.73047i	0.0490663	+	0.435475i
$119$	0.494566	+	13.2175i	0.0453368	+	1.21165i
$120$	1.48276	+	6.51491i	0.135357	+	0.594727i
$121$	−1.29811	+	8.61238i	−0.118010	+	0.782943i
$122$	3.30442	−	8.41954i	0.299169	−	0.762269i
$123$	−3.15843	+	13.7987i	−0.284786	+	1.24419i
$124$	8.77620	+	1.66055i	0.788126	+	0.149121i
$125$	16.9638	+	8.16933i	1.51729	+	0.730687i
$126$	−5.09139	+	2.68285i	−0.453577	+	0.239007i
$127$	−1.31092	+	3.74640i	−0.116325	+	0.332439i	−0.987295	−	0.158898i	$-0.949206\pi$
$127$	−1.31092	+	3.74640i	−0.116325	+	0.332439i	0.870970	+	0.491337i	$0.163492\pi$
$128$	−0.258819	−	0.965926i	−0.0228766	−	0.0853766i
$129$	1.77498	+	1.21176i	0.156278	+	0.106690i
$130$	−5.32065	−	12.1951i	−0.466652	−	1.06958i
$131$	0.601454	+	1.37855i	0.0525493	+	0.120444i	0.940856	−	0.338806i	$-0.110023\pi$
$131$	0.601454	+	1.37855i	0.0525493	+	0.120444i	−0.888307	+	0.459250i	$0.848118\pi$
$132$	−0.197500	+	2.61381i	−0.0171902	+	0.227503i
$133$	−1.34409	−	5.01621i	−0.116547	−	0.434961i
$134$	−0.437341	+	1.24985i	−0.0377805	+	0.107971i
$135$	−0.786558	+	20.0291i	−0.0676961	+	1.72383i
$136$	−6.21214	−	2.99161i	−0.532687	−	0.256528i
$137$	−1.46796	−	0.277753i	−0.125416	−	0.0237301i	0.122824	−	0.992428i	$-0.460805\pi$
$137$	−1.46796	−	0.277753i	−0.125416	−	0.0237301i	−0.248241	+	0.968698i	$0.579852\pi$
$138$	6.95904	+	6.46504i	0.592393	+	0.550341i
$139$	7.77877	−	19.8200i	0.659787	−	1.68111i	−0.0700994	−	0.997540i	$-0.522332\pi$
$139$	7.77877	−	19.8200i	0.659787	−	1.68111i	0.729886	−	0.683569i	$-0.239573\pi$
$140$	1.10293	−	7.31744i	0.0932144	−	0.618437i
$141$	−2.36898	+	2.19538i	−0.199504	+	0.184884i
$142$	−0.202322	−	5.40718i	−0.0169785	−	0.453760i
$143$	−0.584438	−	5.18703i	−0.0488731	−	0.433761i
$144$	0.00370129	−	3.00000i	0.000308440	−	0.250000i
$145$	−16.4839	−	12.6422i	−1.36892	−	1.04988i
$146$	9.41569	+	5.43615i	0.779248	+	0.449899i
$147$	−5.71467	+	0.640319i	−0.471338	+	0.0528126i
$148$	0.716407	−	1.35551i	0.0588883	−	0.111422i
$149$	4.55546	−	4.22685i	0.373198	−	0.346277i	−0.471169	−	0.882043i	$-0.656168\pi$
$149$	4.55546	−	4.22685i	0.373198	−	0.346277i	0.844366	+	0.535766i	$0.179977\pi$
$150$	−13.3738	−	10.6788i	−1.09197	−	0.871918i
$151$	−1.24415	−	8.25441i	−0.101248	−	0.671734i	−0.980667	−	0.195686i	$-0.937307\pi$
$151$	−1.24415	−	8.25441i	−0.101248	−	0.671734i	0.879419	−	0.476048i	$-0.157931\pi$
$152$	2.63926	+	0.602393i	0.214072	+	0.0488605i
$153$	−15.6619	−	13.5118i	−1.26619	−	1.09237i
$154$	1.25964	−	2.61567i	0.101505	−	0.210777i
$155$	−30.4627	+	16.1000i	−2.44682	+	1.29318i
$156$	1.10702	+	5.87058i	0.0886327	+	0.470022i
$157$	4.14897	−	15.4842i	0.331124	−	1.23577i	−0.576887	−	0.816824i	$-0.695733\pi$
$157$	4.14897	−	15.4842i	0.331124	−	1.23577i	0.908011	−	0.418947i	$-0.137601\pi$
$158$	12.0387	+	8.20783i	0.957745	+	0.652980i
$159$	0.227475	−	0.307820i	0.0180399	−	0.0244117i
$160$	3.10380	+	2.29071i	0.245377	+	0.181096i
$161$	−4.56456	−	9.47841i	−0.359738	−	0.747004i
$162$	2.35082	−	8.68756i	0.184697	−	0.682559i
$163$	1.24196	+	0.434581i	0.0972780	+	0.0340390i	0.378479	−	0.925610i	$-0.376447\pi$
$163$	1.24196	+	0.434581i	0.0972780	+	0.0340390i	−0.281201	+	0.959649i	$0.590733\pi$
$164$	3.81886	+	7.22563i	0.298203	+	0.564227i
$165$	−5.69098	−	8.35821i	−0.443043	−	0.650686i
$166$	−8.49848	−	7.31353i	−0.659610	−	0.567640i
$167$	−9.70782	+	2.99446i	−0.751213	+	0.231719i	−0.646637	−	0.762798i	$-0.723825\pi$
$167$	−9.70782	+	2.99446i	−0.751213	+	0.231719i	−0.104577	+	0.994517i	$0.533349\pi$
$168$	−1.21581	+	3.09221i	−0.0938014	+	0.238569i
$169$	0.403193	+	1.02732i	0.0310148	+	0.0790245i
$170$	25.9310	−	5.91857i	1.98881	−	0.453934i
$171$	7.17555	+	3.80372i	0.548728	+	0.290878i
$172$	1.23302	−	0.138928i	0.0940168	−	0.0105931i
$173$	−9.26113	+	16.0407i	−0.704110	+	1.21956i	0.262901	+	0.964823i	$0.415321\pi$
$173$	−9.26113	+	16.0407i	−0.704110	+	1.21956i	−0.967012	+	0.254732i	$0.918013\pi$
$174$	5.94818	+	7.18464i	0.450931	+	0.544666i
$175$	9.47739	+	16.4153i	0.716424	+	1.24088i
$176$	0.898681	+	1.21767i	0.0677406	+	0.0917853i
$177$	4.38244	+	6.98417i	0.329404	+	0.524962i
$178$	−4.35995	+	14.1346i	−0.326792	+	1.05943i
$179$	16.1891	−	20.3005i	1.21003	−	1.51733i	0.416106	−	0.909316i	$-0.363395\pi$
$179$	16.1891	−	20.3005i	1.21003	−	1.51733i	0.793925	−	0.608015i	$-0.208034\pi$
$180$	7.20431	+	9.05682i	0.536977	+	0.675055i
$181$	−0.633177	+	2.77413i	−0.0470637	+	0.206200i	−0.992993	−	0.118173i	$-0.962296\pi$
$181$	−0.633177	+	2.77413i	−0.0470637	+	0.206200i	0.945929	+	0.324373i	$0.105153\pi$
$182$	1.23009	−	6.50119i	0.0911804	−	0.481900i
$183$	−1.16108	−	15.6229i	−0.0858298	−	1.15488i
$184$	5.48023	+	0.205056i	0.404008	+	0.0151169i
$185$	1.09955	+	5.81125i	0.0808404	+	0.427252i
$186$	14.9459	−	3.99485i	1.09588	−	0.292917i
$187$	10.4056	+	0.779790i	0.760931	+	0.0570239i
$188$	−0.208785	+	1.85302i	−0.0152272	+	0.135145i
$189$	−5.93399	+	8.00921i	−0.431634	+	0.582584i
$190$	−9.40877	+	4.53103i	−0.682584	+	0.328715i
$191$	0.889518	−	0.238346i	0.0643632	−	0.0172461i	−0.226494	−	0.974013i	$-0.572726\pi$
$191$	0.889518	−	0.238346i	0.0643632	−	0.0172461i	0.290857	+	0.956767i	$0.406060\pi$
$192$	−1.12898	−	1.31354i	−0.0814775	−	0.0947967i
$193$	0.193940	−	5.18315i	0.0139601	−	0.373091i	−0.974754	−	0.223279i	$-0.928324\pi$
$193$	0.193940	−	5.18315i	0.0139601	−	0.373091i	0.988715	−	0.149812i	$-0.0478667\pi$
$194$	14.2087	−	1.06479i	1.02012	−	0.0764478i
$195$	−17.4584	−	15.0429i	−1.25022	−	1.07725i
$196$	−2.25818	+	2.43374i	−0.161299	+	0.173839i
$197$	−21.3128	+	16.9964i	−1.51848	+	1.21094i	−0.610432	+	0.792068i	$0.709004\pi$
$197$	−21.3128	+	16.9964i	−1.51848	+	1.21094i	−0.908044	+	0.418876i	$0.862424\pi$
$198$	1.65349	+	4.22836i	0.117509	+	0.300497i
$199$	2.97011	+	13.0129i	0.210545	+	0.922459i	0.964197	+	0.265186i	$0.0854333\pi$
$199$	2.97011	+	13.0129i	0.210545	+	0.922459i	−0.753652	+	0.657274i	$0.771710\pi$
$200$	−9.87397	+	0.369458i	−0.698195	+	0.0261246i
$201$	0.255385	+	2.27924i	0.0180135	+	0.160765i
$202$	−0.947653	+	0.547127i	−0.0666766	+	0.0384958i
$203$	−3.23141	−	9.81211i	−0.226801	−	0.688675i
$204$	−11.9424	−	0.00736705i	−0.836136	−	0.000515797i
$205$	−28.8964	−	12.6074i	−2.01821	−	0.880536i
$206$	−0.293385	+	0.184346i	−0.0204411	+	0.0128440i
$207$	15.7153	+	4.86876i	1.09229	+	0.338403i
$208$	2.69663	+	2.15049i	0.186977	+	0.149110i
$209$	−4.05118	+	0.610617i	−0.280226	+	0.0422372i
$210$	−3.77042	−	12.2502i	−0.260184	−	0.845346i
$211$	−6.17509	+	7.17558i	−0.425110	+	0.493987i	−0.929155	−	0.369690i	$-0.879464\pi$
$211$	−6.17509	+	7.17558i	−0.425110	+	0.493987i	0.504045	+	0.863678i	$0.331845\pi$
$212$	−0.0165139	−	0.220363i	−0.00113418	−	0.0151346i
$213$	−4.37416	−	8.28868i	−0.299712	−	0.567931i
$214$	−5.11276	−	5.94113i	−0.349501	−	0.406128i
$215$	−3.38461	+	3.38461i	−0.230828	+	0.230828i
$216$	−2.24586	−	4.68574i	−0.152811	−	0.318824i
$217$	−17.0266	−	1.91844i	−1.15584	−	0.130232i
$218$	10.5275	−	14.2642i	0.713010	−	0.966095i
$219$	18.7778	+	1.41885i	1.26889	+	0.0958773i
$220$	−5.63908	−	1.51099i	−0.380187	−	0.101871i
$221$	23.3669	−	4.42126i	1.57183	−	0.297406i
$222$	0.100931	−	2.65363i	0.00677405	−	0.178100i
$223$	−1.85407	+	1.26408i	−0.124158	+	0.0846492i	−0.623807	−	0.781579i	$-0.714415\pi$
$223$	−1.85407	+	1.26408i	−0.124158	+	0.0846492i	0.499649	+	0.866228i	$0.333462\pi$
$224$	0.633584	+	1.81068i	0.0423331	+	0.120981i
$225$	−28.8913	−	6.63176i	−1.92609	−	0.442117i
$226$	−7.16442	−	8.98389i	−0.476570	−	0.597600i
$227$	−11.4755	+	4.50379i	−0.761654	+	0.298927i	−0.714196	−	0.699946i	$-0.753207\pi$
$227$	−11.4755	+	4.50379i	−0.761654	+	0.298927i	−0.0474583	+	0.998873i	$0.515112\pi$
$228$	4.57197	−	1.04055i	0.302786	−	0.0689124i
$229$	−0.218667	−	0.115569i	−0.0144499	−	0.00763700i	0.460028	−	0.887904i	$-0.347839\pi$
$229$	−0.218667	−	0.115569i	−0.0144499	−	0.00763700i	−0.474478	+	0.880267i	$0.657363\pi$
$230$	−17.0214	+	12.5624i	−1.12236	+	0.828339i
$231$	0.00310196	−	5.02845i	0.000204094	−	0.330848i
$232$	5.30930	+	0.900758i	0.348572	+	0.0591377i
$233$			25.2853i			1.65649i	0.560364	+	0.828246i	$0.310661\pi$
$233$			25.2853i			1.65649i	−0.560364	+	0.828246i	$0.689339\pi$
$234$	6.13419	+	8.33303i	0.401004	+	0.544747i
$235$	−3.82711	−	6.09081i	−0.249653	−	0.397320i
$236$	4.54891	+	1.40315i	0.296109	+	0.0913375i
$237$	24.9526	+	3.77674i	1.62084	+	0.245325i
$238$	12.3125	+	4.83229i	0.798099	+	0.313231i
$239$	4.95941	+	16.0780i	0.320797	+	1.04000i	0.962097	+	0.272709i	$0.0879196\pi$
$239$	4.95941	+	16.0780i	0.320797	+	1.04000i	−0.641299	+	0.767291i	$0.721604\pi$
$240$	6.56427	+	1.24622i	0.423722	+	0.0804432i
$241$	−0.467486	−	0.685676i	−0.0301134	−	0.0441683i	0.810887	−	0.585203i	$-0.198985\pi$
$241$	−0.467486	−	0.685676i	−0.0301134	−	0.0441683i	−0.841000	+	0.541035i	$0.818033\pi$
$242$	7.37468	+	4.63382i	0.474062	+	0.297873i
$243$	−2.85082	−	15.3256i	−0.182880	−	0.983135i
$244$	−6.39562	−	6.39562i	−0.409437	−	0.409437i
$245$	0.957083	−	12.7714i	0.0611458	−	0.815934i
$246$	11.3844	+	8.41289i	0.725840	+	0.536386i
$247$	−8.55812	+	3.73387i	−0.544540	+	0.237580i
$248$	5.03153	−	7.37989i	0.319502	−	0.468624i
$249$	−18.7552	−	5.03783i	−1.18856	−	0.319260i
$250$	14.2714	−	12.2815i	0.902601	−	0.776751i
$251$	−14.7311	+	23.4444i	−0.929817	+	1.47980i	−0.0532137	+	0.998583i	$0.516946\pi$
$251$	−14.7311	+	23.4444i	−0.929817	+	1.47980i	−0.876604	+	0.481213i	$0.840196\pi$
$252$	0.422990	+	5.73942i	0.0266459	+	0.361550i
$253$	−7.83378	+	2.74116i	−0.492506	+	0.172335i
$254$	2.90958	+	2.69970i	0.182563	+	0.169394i
$255$	36.0357	−	28.7012i	2.25664	−	1.79734i
$256$	−0.988831	−	0.149042i	−0.0618019	−	0.00931514i
$257$	−4.47897	−	4.82718i	−0.279391	−	0.301111i	0.577729	−	0.816228i	$-0.303939\pi$
$257$	−4.47897	−	4.82718i	−0.279391	−	0.301111i	−0.857120	+	0.515117i	$0.827748\pi$
$258$	1.82045	−	1.14230i	0.113337	−	0.0711166i
$259$	−1.17614	+	2.69574i	−0.0730818	+	0.167505i
$260$	−13.3052			−0.825155
$261$	14.6774	+	6.75075i	0.908511	+	0.417861i
$262$	1.50404			0.0929199
$263$	9.82649	−	22.5226i	0.605927	−	1.38880i	−0.295280	−	0.955411i	$-0.595413\pi$
$263$	9.82649	−	22.5226i	0.605927	−	1.38880i	0.901207	−	0.433389i	$-0.142682\pi$
$264$	2.31675	+	1.22626i	0.142586	+	0.0754714i
$265$	0.579814	+	0.624891i	0.0356177	+	0.0383868i
$266$	−5.13516	−	0.774001i	−0.314857	−	0.0474570i
$267$	3.80285	+	25.3363i	0.232731	+	1.55056i
$268$	0.970675	+	0.900655i	0.0592934	+	0.0550163i
$269$	21.5152	−	7.52851i	1.31181	−	0.459021i	0.418398	−	0.908264i	$-0.362592\pi$
$269$	21.5152	−	7.52851i	1.31181	−	0.459021i	0.893410	+	0.449243i	$0.148306\pi$
$270$	18.0434	+	8.73041i	1.09809	+	0.531316i
$271$	8.85387	−	14.0909i	0.537835	−	0.855959i	−0.461682	−	0.887045i	$-0.652754\pi$
$271$	8.85387	−	14.0909i	0.537835	−	0.855959i	0.999517	+	0.0310866i	$0.00989678\pi$
$272$	−5.22618	+	4.49749i	−0.316884	+	0.272701i
$273$	−2.95928	−	11.0715i	−0.179104	−	0.670078i
$274$	−0.841604	+	1.23441i	−0.0508432	+	0.0745732i
$275$	13.7059	−	5.97983i	0.826498	−	0.360597i
$276$	8.70848	−	3.79308i	0.524189	−	0.228316i
$277$	2.37491	−	31.6910i	0.142695	−	1.90413i	−0.225284	−	0.974293i	$-0.572331\pi$
$277$	2.37491	−	31.6910i	0.142695	−	1.90413i	0.367978	−	0.929834i	$-0.380050\pi$
$278$	−15.0556	−	15.0556i	−0.902974	−	0.902974i
$279$	20.3320	−	17.4535i	1.21724	−	1.04491i
$280$	−6.26584	−	3.93709i	−0.374456	−	0.235286i
$281$	−9.04835	−	13.2715i	−0.539780	−	0.791711i	0.455347	−	0.890314i	$-0.349515\pi$
$281$	−9.04835	−	13.2715i	−0.539780	−	0.791711i	−0.995127	+	0.0986027i	$0.968563\pi$
$282$	1.06486	+	3.04924i	0.0634117	+	0.181579i
$283$	−2.50855	−	8.13253i	−0.149118	−	0.483429i	0.849937	−	0.526884i	$-0.176640\pi$
$283$	−2.50855	−	8.13253i	−0.149118	−	0.483429i	−0.999055	+	0.0434549i	$0.986164\pi$
$284$	−5.03692	−	1.97685i	−0.298886	−	0.117304i
$285$	−11.2862	+	14.1346i	−0.668539	+	0.837261i
$286$	−4.98795	−	1.53858i	−0.294944	−	0.0909780i
$287$	−8.34119	−	13.2749i	−0.492365	−	0.783594i
$288$	−2.74820	−	1.20307i	−0.161940	−	0.0708914i
$289$			30.5404i			1.79650i
$290$	−18.1792	+	10.0530i	−1.06752	+	0.590335i
$291$	21.3804	−	12.3264i	1.25334	−	0.722587i
$292$	8.74783	−	6.45619i	0.511928	−	0.377820i
$293$	−2.41346	−	1.27555i	−0.140996	−	0.0745183i	0.395283	−	0.918559i	$-0.370647\pi$
$293$	−2.41346	−	1.27555i	−0.140996	−	0.0745183i	−0.536279	+	0.844041i	$0.680170\pi$
$294$	−1.69836	+	5.49391i	−0.0990503	+	0.320411i
$295$	−17.0942	+	6.70898i	−0.995263	+	0.390612i
$296$	−0.955923	−	1.19869i	−0.0555619	−	0.0696724i
$297$	5.75466	+	5.35940i	0.333919	+	0.310984i
$298$	−2.05248	−	5.86564i	−0.118897	−	0.339788i
$299$	−15.6285	+	10.6553i	−0.903817	+	0.616212i
$300$	−15.1359	+	7.98759i	−0.873869	+	0.461164i
$301$	−2.33880	+	0.442526i	−0.134806	+	0.0255068i
$302$	−8.06320	−	2.16053i	−0.463985	−	0.124324i
$303$	−1.06863	+	1.56532i	−0.0613911	+	0.0899250i
$304$	1.60755	−	2.17815i	0.0921992	−	0.124925i
$305$	34.6715	+	3.90654i	1.98528	+	0.223688i
$306$	−18.6475	+	8.95183i	−1.06601	+	0.511742i
$307$	−8.12526	+	8.12526i	−0.463733	+	0.463733i	−0.899877	−	0.436144i	$-0.856344\pi$
$307$	−8.12526	+	8.12526i	−0.463733	+	0.463733i	0.436144	+	0.899877i	$0.356344\pi$
$308$	−1.89371	−	2.20053i	−0.107904	−	0.125387i
$309$	−0.319610	+	0.507960i	−0.0181820	+	0.0288968i
$310$	2.57486	+	34.3592i	0.146242	+	1.95147i
$311$	−6.36590	+	7.39731i	−0.360977	+	0.419463i	−0.908866	−	0.417088i	$-0.863051\pi$
$311$	−6.36590	+	7.39731i	−0.360977	+	0.419463i	0.547889	+	0.836551i	$0.315432\pi$
$312$	5.82344	+	1.33294i	0.329687	+	0.0754630i
$313$	−5.15831	+	0.777490i	−0.291565	+	0.0439463i	−0.293196	−	0.956052i	$-0.594719\pi$
$313$	−5.15831	+	0.777490i	−0.291565	+	0.0439463i	0.00163121	+	0.999999i	$0.499481\pi$
$314$	−12.5331	−	9.99478i	−0.707281	−	0.564038i
$315$	−15.0799	−	16.2926i	−0.849659	−	0.917983i
$316$	12.3372	−	7.75195i	0.694019	−	0.436081i
$317$	−24.0999	−	10.5147i	−1.35359	−	0.590564i	−0.407123	−	0.913373i	$-0.633468\pi$
$317$	−24.0999	−	10.5147i	−1.35359	−	0.590564i	−0.946464	+	0.322809i	$0.895373\pi$
$318$	−0.191171	−	0.331590i	−0.0107203	−	0.0185946i
$319$	−7.97763	+	1.66656i	−0.446661	+	0.0933095i
$320$	3.34076	−	1.92879i	0.186754	−	0.107822i
$321$	−12.4400	−	5.43667i	−0.694336	−	0.303446i
$322$	−10.5129	+	0.393365i	−0.585860	+	0.0219213i
$323$	−4.15347	−	18.1975i	−0.231105	−	1.01254i
$324$	−7.02262	−	5.62875i	−0.390145	−	0.312709i
$325$	26.6451	−	21.2487i	1.47800	−	1.17867i
$326$	0.894972	−	0.964550i	0.0495679	−	0.0534215i
$327$	5.72730	−	30.1676i	0.316720	−	1.66827i
$328$	8.14987	−	0.610749i	0.450002	−	0.0337230i
$329$	0.133755	−	3.57468i	0.00737417	−	0.197079i
$330$	−9.93660	+	1.87376i	−0.546992	+	0.103147i
$331$	−2.71342	+	0.727059i	−0.149143	+	0.0399628i	−0.332618	−	0.943062i	$-0.607932\pi$
$331$	−2.71342	+	0.727059i	−0.149143	+	0.0399628i	0.183475	+	0.983024i	$0.441265\pi$
$332$	−10.1018	+	4.86476i	−0.554407	+	0.266988i
$333$	−1.83412	−	4.21803i	−0.100509	−	0.231147i
$334$	−1.13746	+	10.0953i	−0.0622393	+	0.552389i
$335$	−5.09375	−	0.381724i	−0.278301	−	0.0208558i
$336$	2.34801	+	2.35091i	0.128095	+	0.128253i
$337$	−2.74962	−	14.5321i	−0.149781	−	0.791614i	−0.974209	−	0.225647i	$-0.927550\pi$
$337$	−2.74962	−	14.5321i	−0.149781	−	0.791614i	0.824428	−	0.565967i	$-0.191497\pi$
$338$	1.10283	+	0.0412652i	0.0599863	+	0.00224453i
$339$	−17.9264	−	8.64652i	−0.973628	−	0.469615i
$340$	4.94484	−	26.1341i	0.268172	−	1.41732i
$341$	−3.00792	+	13.1785i	−0.162888	+	0.713658i
$342$	6.35580	−	5.05576i	0.343682	−	0.273384i
$343$	12.3433	−	15.4781i	0.666478	−	0.835737i
$344$	0.365738	−	1.18569i	0.0197193	−	0.0639284i
$345$	−17.1416	+	32.3851i	−0.922872	+	1.74355i
$346$	10.9989	+	14.9030i	0.591304	+	0.801188i
$347$	−4.15706	−	7.20023i	−0.223162	−	0.386529i	0.732604	−	0.680655i	$-0.238305\pi$
$347$	−4.15706	−	7.20023i	−0.223162	−	0.386529i	−0.955767	+	0.294126i	$0.904971\pi$
$348$	8.96380	−	2.57880i	0.480510	−	0.138238i
$349$	−2.82146	+	4.88692i	−0.151029	+	0.261591i	−0.931606	−	0.363469i	$-0.881592\pi$
$349$	−2.82146	+	4.88692i	−0.151029	+	0.261591i	0.780577	+	0.625060i	$0.214926\pi$
$350$	18.8356	−	2.12226i	1.00681	−	0.113440i
$351$	15.8297	+	8.40376i	0.844927	+	0.448559i
$352$	1.47544	−	0.336761i	0.0786415	−	0.0179494i
$353$	−5.33615	−	13.5963i	−0.284015	−	0.723657i	−0.999682	−	0.0252162i	$-0.991973\pi$
$353$	−5.33615	−	13.5963i	−0.284015	−	0.723657i	0.715667	−	0.698441i	$-0.246123\pi$
$354$	8.15392	−	1.22386i	0.433376	−	0.0650476i
$355$	19.9459	−	6.15248i	1.05862	−	0.326540i
$356$	11.2117	+	9.64849i	0.594221	+	0.511369i
$357$	22.8465	−	1.69793i	1.20916	−	0.0898642i
$358$	−12.1328	−	22.9563i	−0.641237	−	1.21328i
$359$	−23.6845	−	8.28755i	−1.25002	−	0.437400i	−0.377513	−	0.926004i	$-0.623221\pi$
$359$	−23.6845	−	8.28755i	−1.25002	−	0.437400i	−0.872506	+	0.488604i	$0.837506\pi$
$360$	11.1821	−	2.98145i	0.589347	−	0.157136i
$361$	−5.06405	−	10.5156i	−0.266529	−	0.553454i
$362$	2.28946	+	1.68970i	0.120331	+	0.0888086i
$363$	14.9897	+	1.69829i	0.786753	+	0.0891374i
$364$	−5.46684	−	3.72723i	−0.286540	−	0.195360i
$365$	−10.8551	+	40.5116i	−0.568180	+	2.12047i
$366$	−14.7837	−	5.18327i	−0.772755	−	0.270934i
$367$	−15.5660	+	8.22687i	−0.812539	+	0.429439i	−0.821282	−	0.570523i	$-0.806741\pi$
$367$	−15.5660	+	8.22687i	−0.812539	+	0.429439i	0.00874329	+	0.999962i	$0.497217\pi$
$368$	2.37945	−	4.94097i	0.124037	−	0.257566i
$369$	24.0851	+	4.58793i	1.25382	+	0.238838i
$370$	5.76608	+	1.31607i	0.299764	+	0.0684192i
$371$	0.0631812	+	0.419180i	0.00328020	+	0.0217627i
$372$	2.31520	−	15.2963i	0.120037	−	0.793077i
$373$	−8.47228	+	7.86113i	−0.438678	+	0.407034i	−0.868350	−	0.495951i	$-0.834820\pi$
$373$	−8.47228	+	7.86113i	−0.438678	+	0.407034i	0.429672	+	0.902985i	$0.358629\pi$
$374$	4.87583	−	9.22552i	0.252123	−	0.477040i
$375$	13.0596	−	29.8826i	0.674395	−	1.54313i
$376$	1.61491	+	0.932370i	0.0832828	+	0.0480833i
$377$	−16.5790	+	8.37452i	−0.853861	+	0.431310i
$378$	4.96798	+	8.64169i	0.255525	+	0.444481i
$379$	3.74398	+	33.2288i	0.192315	+	1.70685i	0.605209	+	0.796067i	$0.293090\pi$
$379$	3.74398	+	33.2288i	0.192315	+	1.70685i	−0.412893	+	0.910779i	$0.635482\pi$
$380$	0.390474	+	10.4356i	0.0200309	+	0.535337i
$381$	6.56806	+	2.03042i	0.336492	+	0.104021i
$382$	0.137252	−	0.910611i	0.00702245	−	0.0465909i
$383$	3.13393	−	7.98511i	0.160136	−	0.408020i	−0.828175	−	0.560469i	$-0.810621\pi$
$383$	3.13393	−	7.98511i	0.160136	−	0.408020i	0.988311	+	0.152449i	$0.0487160\pi$
$384$	−1.65542	+	0.509510i	−0.0844776	+	0.0260008i
$385$	11.0040	+	2.08207i	0.560815	+	0.106112i
$386$	−4.67312	−	2.25046i	−0.237856	−	0.114545i
$387$	1.98436	−	3.14945i	0.100870	−	0.160096i
$388$	4.70599	−	13.4490i	0.238911	−	0.682767i
$389$	5.37643	+	20.0651i	0.272596	+	1.01734i	0.957436	+	0.288647i	$0.0932054\pi$
$389$	5.37643	+	20.0651i	0.272596	+	1.01734i	−0.684840	+	0.728694i	$0.740128\pi$
$390$	−20.7693	+	9.98618i	−1.05169	+	0.505670i
$391$	−15.1209	−	34.6574i	−0.764696	−	1.75270i
$392$	1.32765	+	3.04300i	0.0670563	+	0.153695i
$393$	2.34779	−	1.12885i	0.118430	−	0.0569430i
$394$	7.05544	+	26.3313i	0.355448	+	1.32655i
$395$	−18.5639	+	53.0525i	−0.934049	+	2.66936i
$396$	4.53678	+	0.175360i	0.227982	+	0.00881215i
$397$	16.6192	+	8.00337i	0.834092	+	0.401677i	0.801648	−	0.597796i	$-0.203957\pi$
$397$	16.6192	+	8.00337i	0.834092	+	0.401677i	0.0324436	+	0.999474i	$0.489671\pi$
$398$	13.1148	+	2.48146i	0.657388	+	0.124384i
$399$	−8.59684	+	2.64597i	−0.430380	+	0.132464i
$400$	−3.60989	+	9.19786i	−0.180495	+	0.459893i
$401$	4.45445	−	29.5533i	0.222444	−	1.47582i	−0.547013	−	0.837124i	$-0.684235\pi$
$401$	4.45445	−	29.5533i	0.222444	−	1.47582i	0.769457	−	0.638698i	$-0.220527\pi$
$402$	2.19119	+	0.677375i	0.109287	+	0.0337844i
$403$	1.15192	+	30.7857i	0.0573811	+	1.53354i
$404$	0.122518	+	1.08737i	0.00609548	+	0.0540989i
$405$	34.7181	+	0.0856679i	1.72515	+	0.00425687i
$406$	−10.2856	−	0.961995i	−0.510467	−	0.0477430i
$407$	2.00944	+	1.16015i	0.0996041	+	0.0575065i
$408$	−4.78243	+	10.9430i	−0.236765	+	0.541760i
$409$	9.38215	−	17.7519i	0.463918	−	0.877775i	−0.535529	−	0.844517i	$-0.679888\pi$
$409$	9.38215	−	17.7519i	0.463918	−	0.877775i	0.999447	−	0.0332583i	$-0.0105884\pi$
$410$	−23.1109	+	21.4437i	−1.14136	+	1.05903i
$411$	−0.387254	+	2.55855i	−0.0191019	+	0.126204i
$412$	0.0516422	+	0.342624i	0.00254423	+	0.0168799i
$413$	−8.90306	−	2.03207i	−0.438091	−	0.0999914i
$414$	10.7469	−	12.4571i	0.528183	−	0.612231i
$415$	18.7662	−	38.9684i	0.921196	−	1.91288i
$416$	3.04942	−	1.61166i	0.149510	−	0.0790183i
$417$	−34.8015	−	12.2017i	−1.70424	−	0.597518i
$418$	−1.06037	+	3.95734i	−0.0518642	+	0.193560i
$419$	9.68400	+	6.60244i	0.473094	+	0.322550i	0.776288	−	0.630379i	$-0.217100\pi$
$419$	9.68400	+	6.60244i	0.473094	+	0.322550i	−0.303193	+	0.952929i	$0.598053\pi$
$420$	−12.7359	−	1.44294i	−0.621447	−	0.0704085i
$421$	−9.87155	−	7.28553i	−0.481110	−	0.355075i	0.326105	−	0.945334i	$-0.394264\pi$
$421$	−9.87155	−	7.28553i	−0.481110	−	0.355075i	−0.807214	+	0.590259i	$0.799026\pi$
$422$	4.10750	+	8.52931i	0.199950	+	0.415200i
$423$	3.95083	+	3.96059i	0.192096	+	0.192570i
$424$	−0.208580	−	0.0729855i	−0.0101296	−	0.00354449i
$425$	31.8342	+	60.2333i	1.54419	+	2.92174i
$426$	−9.34629	+	0.694610i	−0.452829	+	0.0336539i
$427$	13.1514	+	11.3177i	0.636443	+	0.547703i
$428$	−7.48997	+	2.31035i	−0.362041	+	0.111675i
$429$	−8.94089	+	1.34198i	−0.431670	+	0.0647915i
$430$	1.74873	+	4.45568i	0.0843311	+	0.214872i
$431$	28.2287	−	6.44302i	1.35973	−	0.310349i	0.520377	−	0.853937i	$-0.325791\pi$
$431$	28.2287	−	6.44302i	1.35973	−	0.310349i	0.839353	+	0.543587i	$0.182934\pi$
$432$	−5.19287	+	0.184681i	−0.249842	+	0.00888545i
$433$	33.4921	−	3.77366i	1.60953	−	0.181350i	0.739083	−	0.673615i	$-0.235259\pi$
$433$	33.4921	−	3.77366i	1.60953	−	0.181350i	0.870446	+	0.492264i	$0.163831\pi$
$434$	−8.56717	+	14.8388i	−0.411238	+	0.712284i
$435$	−20.8322	+	29.3370i	−0.998826	+	1.40660i
$436$	−8.86419	−	15.3532i	−0.424518	−	0.735286i
$437$	8.81590	+	11.9451i	0.421722	+	0.571413i
$438$	8.80958	−	16.6437i	0.420938	−	0.795266i
$439$	−6.62760	+	21.4862i	−0.316318	+	1.02548i	0.648202	+	0.761469i	$0.275521\pi$
$439$	−6.62760	+	21.4862i	−0.316318	+	1.02548i	−0.964520	+	0.264010i	$0.914955\pi$
$440$	−3.63994	+	4.56434i	−0.173527	+	0.217596i
$441$	1.47232	+	9.85062i	0.0701102	+	0.469077i
$442$	5.29188	−	23.1852i	0.251709	−	1.10281i
$443$	−1.95641	+	10.3399i	−0.0929519	+	0.491263i	0.904893	+	0.425640i	$0.139951\pi$
$443$	−1.95641	+	10.3399i	−0.0929519	+	0.491263i	−0.997845	+	0.0656226i	$0.979097\pi$
$444$	−2.39185	−	1.15367i	−0.113512	−	0.0547510i
$445$	−57.0205	−	2.13356i	−2.70303	−	0.101140i
$446$	0.417183	+	2.20486i	0.0197542	+	0.104403i
$447$	−7.60632	−	7.61571i	−0.359767	−	0.360211i
$448$	1.91296	+	0.143357i	0.0903791	+	0.00677298i
$449$	−0.205736	+	1.82596i	−0.00970929	+	0.0861724i	−0.997632	−	0.0687730i	$-0.978092\pi$
$449$	−0.205736	+	1.82596i	−0.00970929	+	0.0861724i	0.987923	+	0.154945i	$0.0495202\pi$
$450$	−17.6318	+	23.8287i	−0.831172	+	1.12329i
$451$	−11.1436	+	5.36650i	−0.524734	+	0.252698i
$452$	−11.0993	+	2.97405i	−0.522067	+	0.139887i
$453$	−14.2081	+	2.67925i	−0.667556	+	0.125882i
$454$	−0.460945	+	12.3190i	−0.0216332	+	0.578160i
$455$	25.4524	−	1.90739i	1.19323	−	0.0894201i
$456$	0.874560	−	4.60660i	0.0409550	−	0.215724i
$457$	3.48922	−	3.76049i	0.163219	−	0.175908i	−0.646147	−	0.763213i	$-0.723621\pi$
$457$	3.48922	−	3.76049i	0.163219	−	0.175908i	0.809366	+	0.587305i	$0.199811\pi$
$458$	−0.193369	+	0.154207i	−0.00903555	+	0.00720561i
$459$	−22.3897	+	27.9695i	−1.04506	+	1.30550i
$460$	4.70748	+	20.6248i	0.219487	+	0.961636i
$461$	16.7272	−	0.625889i	0.779066	−	0.0291506i	0.355099	−	0.934829i	$-0.384447\pi$
$461$	16.7272	−	0.625889i	0.779066	−	0.0291506i	0.423966	+	0.905678i	$0.360638\pi$
$462$	−4.60765	−	2.01368i	−0.214367	−	0.0936849i
$463$	17.2224	−	9.94337i	0.800394	−	0.462108i	−0.0432149	−	0.999066i	$-0.513760\pi$
$463$	17.2224	−	9.94337i	0.800394	−	0.462108i	0.843609	+	0.536958i	$0.180427\pi$
$464$	2.94875	−	4.50610i	0.136892	−	0.209190i
$465$	29.8075	+	51.7017i	1.38229	+	2.39761i
$466$	23.1755	+	10.1114i	1.07359	+	0.468400i
$467$	23.4962	−	14.7637i	1.08728	−	0.683180i	0.135748	−	0.990743i	$-0.456656\pi$
$467$	23.4962	−	14.7637i	1.08728	−	0.683180i	0.951528	+	0.307563i	$0.0995135\pi$
$468$	10.0907	−	2.29005i	0.466445	−	0.105858i
$469$	−1.98598	−	1.58377i	−0.0917042	−	0.0731316i
$470$	−7.11303	+	1.07212i	−0.328100	+	0.0494531i
$471$	−27.0655	−	6.19509i	−1.24711	−	0.285455i
$472$	3.10515	−	3.60825i	0.142926	−	0.166083i
$473$	0.140331	+	1.87259i	0.00645245	+	0.0861019i
$474$	13.4399	−	21.3603i	0.617317	−	0.981110i
$475$	−17.4479	−	20.2749i	−0.800565	−	0.930274i
$476$	9.35276	−	9.35276i	0.428683	−	0.428683i
$477$	−0.547289	−	0.374125i	−0.0250586	−	0.0171300i
$478$	16.7197	+	1.88386i	0.764742	+	0.0861658i
$479$	21.3679	−	28.9525i	0.976326	−	1.32288i	0.0300389	−	0.999549i	$-0.490437\pi$
$479$	21.3679	−	28.9525i	0.976326	−	1.32288i	0.946287	−	0.323326i	$-0.104801\pi$
$480$	3.76724	−	5.51820i	0.171950	−	0.251870i
$481$	5.10793	+	1.36867i	0.232902	+	0.0624058i
$482$	−0.815409	+	0.154284i	−0.0371409	+	0.00702743i
$483$	−16.1152	+	8.50444i	−0.733269	+	0.386966i
$484$	7.19626	−	4.90632i	0.327103	−	0.223015i
$485$	18.1537	+	51.8803i	0.824318	+	2.35576i
$486$	−15.1869	−	3.51562i	−0.688890	−	0.159472i
$487$	−0.847322	−	1.06251i	−0.0383958	−	0.0481468i	0.762263	−	0.647268i	$-0.224088\pi$
$487$	−0.847322	−	1.06251i	−0.0383958	−	0.0481468i	−0.800659	+	0.599121i	$0.795517\pi$
$488$	−8.41954	+	3.30442i	−0.381134	+	0.149584i
$489$	0.673100	−	2.17737i	0.0304386	−	0.0984640i
$490$	−11.3230	−	5.98440i	−0.511523	−	0.270348i
$491$	18.5989	−	13.7266i	0.839355	−	0.619472i	−0.0869643	−	0.996211i	$-0.527717\pi$
$491$	18.5989	−	13.7266i	0.839355	−	0.619472i	0.926319	+	0.376739i	$0.122955\pi$
$492$	12.2635	−	7.07023i	0.552879	−	0.318750i
$493$	−10.2877	−	35.6768i	−0.463335	−	1.60680i
$494$			9.33720i			0.420100i
$495$	−14.1046	+	10.3828i	−0.633953	+	0.466672i
$496$	−4.75206	−	7.56287i	−0.213374	−	0.339583i
$497$	9.91885	+	3.05956i	0.444921	+	0.137240i
$498$	−12.1175	+	15.1757i	−0.542999	+	0.680039i
$499$	23.2702	+	9.13287i	1.04172	+	0.408843i	0.823655	−	0.567092i	$-0.191932\pi$
$499$	23.2702	+	9.13287i	1.04172	+	0.408843i	0.218061	+	0.975935i	$0.430027\pi$
$500$	−5.54976	−	17.9919i	−0.248193	−	0.804622i
$501$	5.80140	+	16.6123i	0.259188	+	0.742184i
$502$	15.5974	+	22.8772i	0.696146	+	1.02106i
$503$	−29.3300	−	18.4293i	−1.30776	−	0.821721i	−0.315869	−	0.948803i	$-0.602296\pi$
$503$	−29.3300	−	18.4293i	−1.30776	−	0.821721i	−0.991892	+	0.127082i	$0.959439\pi$
$504$	5.42969	+	1.90745i	0.241857	+	0.0849647i
$505$	−2.98482	−	2.98482i	−0.132823	−	0.132823i
$506$	−0.620224	+	8.27632i	−0.0275723	+	0.367927i
$507$	1.75248	−	0.763314i	0.0778305	−	0.0338999i
$508$	3.63796	−	1.58722i	0.161408	−	0.0704217i
$509$	−10.9888	+	16.1176i	−0.487071	+	0.714402i	−0.988571	−	0.150756i	$-0.951829\pi$
$509$	−10.9888	+	16.1176i	−0.487071	+	0.714402i	0.501500	+	0.865158i	$0.332782\pi$
$510$	−11.8960	−	44.5064i	−0.526765	−	1.97077i
$511$	−15.8087	+	13.6045i	−0.699338	+	0.601829i
$512$	−0.532032	+	0.846724i	−0.0235127	+	0.0374203i
$513$	6.12674	−	12.6623i	0.270502	−	0.559054i
$514$	−6.21552	+	2.17490i	−0.274155	+	0.0959309i
$515$	−0.979816	−	0.909136i	−0.0431758	−	0.0400613i
$516$	−0.319005	−	2.12536i	−0.0140434	−	0.0935636i
$517$	−2.79056	−	0.420609i	−0.122729	−	0.0184984i
$518$	2.00049	+	2.15601i	0.0878963	+	0.0947297i
$519$	28.3545	+	15.0082i	1.24462	+	0.658785i
$520$	−5.32065	+	12.1951i	−0.233326	+	0.534789i
$521$	3.41103			0.149440			0.0747201	−	0.997205i	$-0.476194\pi$
$521$	3.41103			0.149440			0.0747201	+	0.997205i	$0.476194\pi$
$522$	12.0569	−	10.7532i	0.527715	−	0.470656i
$523$	−9.54506			−0.417376			−0.208688	−	0.977982i	$-0.566919\pi$
$523$	−9.54506			−0.417376			−0.208688	+	0.977982i	$0.566919\pi$
$524$	0.601454	−	1.37855i	0.0262746	−	0.0602221i
$525$	27.8093	−	17.4498i	1.21370	−	0.761572i
$526$	−16.7138	−	18.0132i	−0.728756	−	0.785412i
$527$	−60.8973	−	9.17879i	−2.65273	−	0.399834i
$528$	2.05040	−	1.63307i	0.0892320	−	0.0710702i
$529$	5.18634	+	4.81222i	0.225493	+	0.209227i
$530$	0.804615	−	0.281547i	0.0349502	−	0.0122296i
$531$	11.8096	−	8.03033i	0.512493	−	0.348487i
$532$	−2.76293	+	4.39718i	−0.119788	+	0.190642i
$533$	−21.3662	+	18.3871i	−0.925474	+	0.796434i
$534$	24.7430	+	6.64624i	1.07074	+	0.287611i
$535$	17.0328	−	24.9825i	0.736392	−	1.08009i
$536$	1.21367	−	0.529520i	0.0524226	−	0.0228718i
$537$	−36.1689	−	26.7283i	−1.56080	−	1.15341i
$538$	1.70343	−	22.7306i	0.0734399	−	0.979988i
$539$	−3.55284	−	3.55284i	−0.153032	−	0.153032i
$540$	15.2174	−	13.0467i	0.654851	−	0.561439i
$541$	−18.9511	−	11.9077i	−0.814770	−	0.511954i	0.0590204	−	0.998257i	$-0.481202\pi$
$541$	−18.9511	−	11.9077i	−0.814770	−	0.511954i	−0.873790	+	0.486303i	$0.838345\pi$
$542$	−9.37456	−	13.7499i	−0.402672	−	0.590611i
$543$	4.84202	+	0.919253i	0.207791	+	0.0394489i
$544$	2.03232	+	6.58863i	0.0871352	+	0.282485i
$545$	63.6611	+	24.9851i	2.72694	+	1.07025i
$546$	−11.3311	−	1.71504i	−0.484927	−	0.0733970i
$547$	9.01805	+	2.78170i	0.385584	+	0.118937i	0.481486	−	0.876454i	$-0.340097\pi$
$547$	9.01805	+	2.78170i	0.385584	+	0.118937i	−0.0959018	+	0.995391i	$0.530573\pi$
$548$	0.794860	+	1.26501i	0.0339547	+	0.0540386i
$549$	−26.9674	+	3.00481i	−1.15094	+	0.128242i
$550$		−	14.9536i		−	0.637624i
$551$	7.05492	+	12.7576i	0.300550	+	0.543491i
$552$	0.00585956	−	9.49868i	0.000249399	−	0.404291i
$553$	−22.4892	+	16.5978i	−0.956340	+	0.705811i
$554$	−28.0971	−	14.8497i	−1.19373	−	0.630905i
$555$	9.98854	−	2.27334i	0.423990	−	0.0964978i
$556$	−19.8200	+	7.77877i	−0.840554	+	0.329893i
$557$	1.42926	+	1.79223i	0.0605595	+	0.0759392i	0.811189	−	0.584784i	$-0.198821\pi$
$557$	1.42926	+	1.79223i	0.0605595	+	0.0759392i	−0.750629	+	0.660724i	$0.770249\pi$
$558$	−7.86659	−	25.6150i	−0.333019	−	1.08437i
$559$	1.41351	+	4.03957i	0.0597849	+	0.170856i
$560$	−6.11425	+	4.16862i	−0.258374	+	0.176156i
$561$	0.686932	−	18.0605i	0.0290023	−	0.762513i
$562$	−15.7825	+	2.98621i	−0.665745	+	0.125966i
$563$	−11.3392	−	3.03834i	−0.477892	−	0.128051i	0.0118289	−	0.999930i	$-0.496235\pi$
$563$	−11.3392	−	3.03834i	−0.477892	−	0.128051i	−0.489721	+	0.871879i	$0.662901\pi$
$564$	3.22064	+	0.243352i	0.135614	+	0.0102470i
$565$	26.3221	−	35.6652i	1.10738	−	1.50045i
$566$	−8.45712	−	0.952889i	−0.355479	−	0.0400529i
$567$	14.2409	+	9.76087i	0.598063	+	0.409918i
$568$	−3.82613	+	3.82613i	−0.160541	+	0.160541i
$569$	−13.4796	−	15.6635i	−0.565093	−	0.656650i	0.400625	−	0.916242i	$-0.368793\pi$
$569$	−13.4796	−	15.6635i	−0.565093	−	0.656650i	−0.965718	+	0.259592i	$0.916412\pi$
$570$	8.44196	+	15.9968i	0.353595	+	0.670034i
$571$	1.67986	+	22.4162i	0.0702999	+	0.938087i	0.915158	+	0.403096i	$0.132066\pi$
$571$	1.67986	+	22.4162i	0.0702999	+	0.938087i	−0.844858	+	0.534991i	$0.820315\pi$
$572$	−3.40484	+	3.95650i	−0.142364	+	0.165430i
$573$	−0.469206	−	1.52447i	−0.0196014	−	0.0636855i
$574$	−15.5029	+	2.33668i	−0.647077	+	0.0975312i
$575$	−42.3654	−	33.7853i	−1.76676	−	1.40894i
$576$	−2.20167	+	2.03780i	−0.0917363	+	0.0849085i
$577$	−16.5822	+	10.4193i	−0.690327	+	0.433761i	−0.830983	−	0.556297i	$-0.812222\pi$
$577$	−16.5822	+	10.4193i	−0.690327	+	0.433761i	0.140656	+	0.990059i	$0.455079\pi$
$578$	27.9922	+	12.2129i	1.16432	+	0.507989i
$579$	−8.98375	−	0.00554191i	−0.373352	−	0.000230314i
$580$	1.94453	+	20.6825i	0.0807423	+	0.858793i
$581$	18.6270	−	10.7543i	0.772776	−	0.446163i
$582$	−2.74806	−	24.5257i	−0.113911	−	1.01662i
$583$	0.334197	−	0.0125048i	0.0138410	−	0.000517894i
$584$	−2.41931	−	10.5997i	−0.100112	−	0.438619i
$585$	−24.9255	+	31.1766i	−1.03054	+	1.28899i
$586$	−2.13424	+	1.70200i	−0.0881647	+	0.0703090i
$587$	−3.71040	+	3.99886i	−0.153145	+	0.165051i	−0.804964	−	0.593324i	$-0.797815\pi$
$587$	−3.71040	+	3.99886i	−0.153145	+	0.165051i	0.651820	+	0.758374i	$0.274006\pi$
$588$	4.35635	+	3.75362i	0.179653	+	0.154797i
$589$	24.1122	−	1.80696i	0.993527	−	0.0744546i
$590$	−0.686637	+	18.3508i	−0.0282684	+	0.755489i
$591$	30.7763	+	35.8073i	1.26597	+	1.47292i
$592$	−1.48094	+	0.396816i	−0.0608662	+	0.0163091i
$593$	35.2173	−	16.9598i	1.44620	−	0.696454i	0.464271	−	0.885693i	$-0.346316\pi$
$593$	35.2173	−	16.9598i	1.44620	−	0.696454i	0.981931	+	0.189239i	$0.0606021\pi$
$594$	7.21347	−	3.13133i	0.295972	−	0.128480i
$595$	−5.71280	+	50.7025i	−0.234202	+	2.07860i
$596$	−6.19700	−	0.464401i	−0.253839	−	0.0190226i
$597$	22.3346	−	5.96976i	0.914093	−	0.244326i
$598$	3.51655	+	18.5854i	0.143802	+	0.760014i
$599$	34.4307	+	1.28831i	1.40680	+	0.0526388i	0.729960	−	0.683490i	$-0.239539\pi$
$599$	34.4307	+	1.28831i	1.40680	+	0.0526388i	0.676842	+	0.736128i	$0.263348\pi$
$600$	1.26842	+	17.0671i	0.0517829	+	0.696762i
$601$	−7.00026	+	36.9973i	−0.285547	+	1.50915i	0.486554	+	0.873650i	$0.338254\pi$
$601$	−7.00026	+	36.9973i	−0.285547	+	1.50915i	−0.772101	+	0.635500i	$0.780794\pi$
$602$	−0.529667	+	2.32062i	−0.0215876	+	0.0945815i
$603$	3.92883	−	0.587219i	0.159994	−	0.0239134i
$604$	−5.20467	+	6.52645i	−0.211775	+	0.265557i
$605$	−9.90323	+	32.1055i	−0.402623	+	1.30527i
$606$	1.00737	+	1.60542i	0.0409217	+	0.0652158i
$607$	1.77906	+	2.41054i	0.0722097	+	0.0978407i	0.839214	−	0.543801i	$-0.183015\pi$
$607$	1.77906	+	2.41054i	0.0722097	+	0.0978407i	−0.767004	+	0.641642i	$0.778254\pi$
$608$	−1.35356	−	2.34444i	−0.0548943	−	0.0950797i
$609$	−16.7778	+	6.21817i	−0.679869	+	0.251973i
$610$	17.4454	−	30.2164i	0.706345	−	1.22343i
$611$	−6.39126	+	0.720122i	−0.258563	+	0.0291330i
$612$	0.747929	+	20.6713i	0.0302332	+	0.835590i
$613$	−6.35349	+	1.45014i	−0.256615	+	0.0585707i	−0.348893	−	0.937163i	$-0.613442\pi$
$613$	−6.35349	+	1.45014i	−0.256615	+	0.0585707i	0.0922780	+	0.995733i	$0.470585\pi$
$614$	4.19808	+	10.6965i	0.169421	+	0.431677i
$615$	−19.9812	+	50.8192i	−0.805721	+	2.04923i
$616$	−2.77420	+	0.855726i	−0.111776	+	0.0344782i
$617$	−19.3737	−	16.6724i	−0.779957	−	0.671207i	0.169351	−	0.985556i	$-0.445833\pi$
$617$	−19.3737	−	16.6724i	−0.779957	−	0.671207i	−0.949308	+	0.314349i	$0.898214\pi$
$618$	0.337768	+	0.496071i	0.0135870	+	0.0199549i
$619$	12.1445	+	22.9785i	0.488129	+	0.923586i	0.997993	+	0.0633303i	$0.0201721\pi$
$619$	12.1445	+	22.9785i	0.488129	+	0.923586i	−0.509863	+	0.860255i	$0.670304\pi$
$620$	32.5220	+	11.3799i	1.30611	+	0.457029i
$621$	7.42625	−	27.5114i	0.298005	−	1.10399i
$622$	4.23442	+	8.79287i	0.169785	+	0.352562i
$623$	−22.8309	−	16.8499i	−0.914699	−	0.675078i
$624$	3.55047	−	4.80451i	0.142133	−	0.192334i
$625$	19.1914	+	13.0845i	0.767657	+	0.523380i
$626$	−1.35015	+	5.03882i	−0.0539628	+	0.201392i
$627$	1.31495	+	6.97321i	0.0525139	+	0.278483i
$628$	−14.1727	+	7.49050i	−0.565553	+	0.298903i
$629$	−4.58668	+	9.52434i	−0.182883	+	0.379760i
$630$	−20.9635	+	7.30643i	−0.835206	+	0.291095i
$631$	38.1159	+	8.69971i	1.51737	+	0.346330i	0.898433	−	0.439111i	$-0.144706\pi$
$631$	38.1159	+	8.69971i	1.51737	+	0.346330i	0.618937	+	0.785440i	$0.287564\pi$
$632$	−2.17161	−	14.4077i	−0.0863821	−	0.573108i
$633$	12.8134	+	10.2313i	0.509286	+	0.406657i
$634$	−19.2747	+	17.8844i	−0.765498	+	0.710278i
$635$	−7.15446	+	13.5369i	−0.283916	+	0.537195i
$636$	−0.380370	+	0.0426198i	−0.0150827	+	0.00168999i
$637$	−9.91695	−	5.72555i	−0.392924	−	0.226855i
$638$	−1.66268	+	7.97844i	−0.0658263	+	0.315869i
$639$	−14.0681	+	8.09909i	−0.556525	+	0.320395i
$640$	−0.431911	−	3.83332i	−0.0170728	−	0.151525i
$641$	−1.33453	−	35.6662i	−0.0527109	−	1.40873i	−0.735209	−	0.677841i	$-0.762916\pi$
$641$	−1.33453	−	35.6662i	−0.0527109	−	1.40873i	0.682498	−	0.730888i	$-0.260894\pi$
$642$	−9.95772	+	9.22799i	−0.393000	+	0.364200i
$643$	−1.13672	+	7.54163i	−0.0448278	+	0.297413i	0.955171	+	0.296054i	$0.0956707\pi$
$643$	−1.13672	+	7.54163i	−0.0448278	+	0.297413i	−0.999999	+	0.00135915i	$0.999567\pi$
$644$	−3.84348	+	9.79302i	−0.151454	+	0.385899i
$645$	6.07393	+	5.64276i	0.239161	+	0.222184i
$646$	−18.3401	−	3.47014i	−0.721583	−	0.136531i
$647$	43.1454	+	20.7777i	1.69622	+	0.816857i	0.994539	+	0.104367i	$0.0332818\pi$
$647$	43.1454	+	20.7777i	1.69622	+	0.816857i	0.701682	+	0.712490i	$0.252433\pi$
$648$	−7.96739	+	4.18577i	−0.312989	+	0.164433i
$649$	−2.37944	+	6.80006i	−0.0934013	+	0.266926i
$650$	−8.82063	−	32.9190i	−0.345974	−	1.29119i
$651$	−2.23606	+	29.5932i	−0.0876382	+	1.15985i
$652$	−0.526178	−	1.20601i	−0.0206067	−	0.0472311i
$653$	−4.74415	−	10.8737i	−0.185653	−	0.425521i	0.798700	−	0.601730i	$-0.205521\pi$
$653$	−4.74415	−	10.8737i	−0.185653	−	0.425521i	−0.984353	+	0.176208i	$0.943617\pi$
$654$	−25.3602	−	17.3132i	−0.991662	−	0.677000i
$655$	1.50165	+	5.60425i	0.0586745	+	0.218976i
$656$	2.69928	−	7.71410i	0.105389	−	0.301185i
$657$	1.25980	−	32.5926i	0.0491494	−	1.27156i
$658$	−3.22293	−	1.55208i	−0.125643	−	0.0605065i
$659$	−4.03667	−	0.763779i	−0.157246	−	0.0297526i	0.106692	−	0.994292i	$-0.465974\pi$
$659$	−4.03667	−	0.763779i	−0.157246	−	0.0297526i	−0.263939	+	0.964539i	$0.585022\pi$
$660$	−2.25615	+	9.85682i	−0.0878206	+	0.383676i
$661$	12.3928	−	31.5763i	0.482023	−	1.22818i	−0.458575	−	0.888655i	$-0.651640\pi$
$661$	12.3928	−	31.5763i	0.482023	−	1.22818i	0.940599	−	0.339520i	$-0.110265\pi$
$662$	−0.418680	+	2.77776i	−0.0162725	+	0.107961i
$663$	−9.14103	−	40.1637i	−0.355008	−	1.55983i
$664$	0.419235	+	11.2043i	0.0162695	+	0.434811i
$665$	−2.24299	−	19.9071i	−0.0869793	−	0.771962i
$666$	−4.59954	−	0.00567474i	−0.178229	−	0.000219892i
$667$	18.8473	+	22.7366i	0.729772	+	0.880365i
$668$	8.79809	+	5.07958i	0.340408	+	0.196535i
$669$	2.30607	+	3.12865i	0.0891578	+	0.120961i
$670$	−2.38682	+	4.51609i	−0.0922110	+	0.174472i
$671$	10.0342	−	9.31037i	0.387366	−	0.359423i
$672$	3.09371	−	1.21199i	0.119342	−	0.0467535i
$673$	−1.65778	−	10.9987i	−0.0639029	−	0.423968i	−0.997793	−	0.0664068i	$-0.978846\pi$
$673$	−1.65778	−	10.9987i	−0.0639029	−	0.423968i	0.933890	−	0.357561i	$-0.116392\pi$
$674$	−14.4191	−	3.29107i	−0.555404	−	0.126767i
$675$	−9.63853	+	50.4297i	−0.370987	+	1.94104i
$676$	0.478837	−	0.994315i	0.0184168	−	0.0382429i
$677$	−7.26054	+	3.83731i	−0.279045	+	0.147480i	−0.600936	−	0.799297i	$-0.705205\pi$
$677$	−7.26054	+	3.83731i	−0.279045	+	0.147480i	0.321891	+	0.946777i	$0.395682\pi$
$678$	−15.0937	+	12.9730i	−0.579670	+	0.498224i
$679$	−7.07440	+	26.4020i	−0.271490	+	1.01322i
$680$	−21.9761	−	14.9831i	−0.842747	−	0.574575i
$681$	8.52646	+	19.5758i	0.326735	+	0.750146i
$682$	10.8761	+	8.02694i	0.416468	+	0.307367i
$683$	−15.6052	−	32.4045i	−0.597115	−	1.23992i	−0.952310	−	0.305131i	$-0.901300\pi$
$683$	−15.6052	−	32.4045i	−0.597115	−	1.23992i	0.355195	−	0.934792i	$-0.384414\pi$
$684$	−2.09229	−	7.84724i	−0.0800007	−	0.300047i
$685$	−5.43983	−	1.90348i	−0.207845	−	0.0727282i
$686$	−9.25060	−	17.5030i	−0.353190	−	0.668267i
$687$	−0.186108	+	0.385847i	−0.00710045	+	0.0147210i
$688$	−0.940507	−	0.809372i	−0.0358565	−	0.0308570i
$689$	0.728328	−	0.224659i	0.0277471	−	0.00855884i
$690$	22.8282	+	28.6619i	0.869053	+	1.09114i
$691$	−8.08112	−	20.5904i	−0.307420	−	0.783294i	−0.998185	−	0.0602150i	$-0.980821\pi$
$691$	−8.08112	−	20.5904i	−0.307420	−	0.783294i	0.690765	−	0.723079i	$-0.257274\pi$
$692$	18.0579	−	4.12159i	0.686457	−	0.156679i
$693$	−8.70384	+	0.314922i	−0.330631	+	0.0119629i
$694$	−8.26184	+	0.930885i	−0.313615	+	0.0353359i
$695$	41.0674	−	71.1308i	1.55777	−	2.69814i
$696$	1.22092	−	9.24713i	0.0462790	−	0.350511i
$697$	−28.1753	−	48.8011i	−1.06722	−	1.84847i
$698$	3.35088	+	4.54029i	0.126833	+	0.171852i
$699$	43.7657	−	1.61056i	1.65537	−	0.0609171i
$700$	5.58702	−	18.1127i	0.211170	−	0.684595i
$701$	−8.12318	+	10.1861i	−0.306808	+	0.384725i	−0.911202	−	0.411961i	$-0.864844\pi$
$701$	−8.12318	+	10.1861i	−0.306808	+	0.384725i	0.604393	+	0.796686i	$0.293416\pi$
$702$	14.0327	−	11.1483i	0.529632	−	0.420766i
$703$	0.923577	−	4.04646i	0.0348334	−	0.152615i
$704$	0.281356	−	1.48700i	0.0106040	−	0.0560436i
$705$	−10.2987	+	7.01222i	−0.387871	+	0.264095i
$706$	−14.5957	−	0.546134i	−0.549317	−	0.0205540i
$707$	−0.390255	−	2.06255i	−0.0146770	−	0.0775700i
$708$	2.13894	−	7.96299i	0.0803864	−	0.299268i
$709$	−15.1103	−	1.13236i	−0.567479	−	0.0425266i	−0.212098	−	0.977248i	$-0.568030\pi$
$709$	−15.1103	−	1.13236i	−0.567479	−	0.0425266i	−0.355381	+	0.934722i	$0.615649\pi$
$710$	2.33706	−	20.7419i	0.0877082	−	0.778431i
$711$	4.94770	−	43.4304i	0.185553	−	1.62877i
$712$	13.3269	−	6.41791i	0.499448	−	0.240521i
$713$	47.3142	−	12.6778i	1.77193	−	0.474787i
$714$	7.57986	−	21.6192i	0.283669	−	0.809078i
$715$	0.752908	−	20.1219i	0.0281572	−	0.752516i
$716$	−25.8927	+	1.94039i	−0.967656	+	0.0725158i
$717$	27.5132	−	9.60824i	1.02750	−	0.358826i
$718$	−17.0673	+	18.3942i	−0.636945	+	0.686464i
$719$	−4.89658	+	3.90489i	−0.182612	+	0.145628i	−0.710529	−	0.703668i	$-0.751544\pi$
$719$	−4.89658	+	3.90489i	−0.182612	+	0.145628i	0.527918	+	0.849296i	$0.322973\pi$
$720$	1.73894	−	11.4413i	0.0648066	−	0.426393i
$721$	−0.147907	−	0.648024i	−0.00550835	−	0.0241337i
$722$	−11.6633	+	0.436410i	−0.434063	+	0.0162415i
$723$	−1.15705	+	0.852837i	−0.0430310	+	0.0317173i
$724$	2.46425	−	1.42274i	0.0915832	−	0.0528756i
$725$	−36.9245	−	38.3133i	−1.37134	−	1.42292i
$726$	7.55084	−	13.0598i	0.280238	−	0.484696i
$727$	42.6258	+	18.5975i	1.58090	+	0.689742i	0.992882	−	0.119103i	$-0.0380018\pi$
$727$	42.6258	+	18.5975i	1.58090	+	0.689742i	0.588023	+	0.808844i	$0.299907\pi$
$728$	−5.60238	+	3.52021i	−0.207638	+	0.130468i
$729$	−26.3451	+	5.91060i	−0.975745	+	0.218911i
$730$	32.7906	+	26.1496i	1.21363	+	0.967840i
$731$	−8.45985	+	1.27512i	−0.312899	+	0.0471619i
$732$	−10.6627	+	11.4774i	−0.394103	+	0.424217i
$733$	24.4058	−	28.3600i	0.901448	−	1.04750i	−0.0971868	−	0.995266i	$-0.530984\pi$
$733$	24.4058	−	28.3600i	0.901448	−	1.04750i	0.998635	−	0.0522354i	$-0.0166346\pi$
$734$	1.31572	+	17.5571i	0.0485641	+	0.648043i
$735$	−22.1667	−	0.843113i	−0.817631	−	0.0310987i
$736$	−3.57719	−	4.15677i	−0.131857	−	0.153221i
$737$	−1.41702	+	1.41702i	−0.0521964	+	0.0521964i
$738$	13.8366	−	20.2408i	0.509331	−	0.745075i
$739$	−31.5484	−	3.55465i	−1.16053	−	0.130760i	−0.489370	−	0.872076i	$-0.662773\pi$
$739$	−31.5484	−	3.55465i	−1.16053	−	0.130760i	−0.671156	+	0.741316i	$0.734202\pi$
$740$	3.51207	−	4.75868i	0.129106	−	0.174933i
$741$	7.00799	+	14.5752i	0.257445	+	0.535435i
$742$	0.409470	+	0.109717i	0.0150321	+	0.00402784i
$743$	−39.5529	+	7.48381i	−1.45105	+	0.274554i	−0.850899	−	0.525329i	$-0.823942\pi$
$743$	−39.5529	+	7.48381i	−1.45105	+	0.274554i	−0.600156	+	0.799883i	$0.704895\pi$
$744$	−13.0942	−	8.23890i	−0.480056	−	0.302053i
$745$	19.8069	−	13.5041i	0.725670	−	0.494753i
$746$	3.81722	+	10.9090i	0.139758	+	0.399406i
$747$	−7.52526	+	32.7838i	−0.275335	+	1.19950i
$748$	−6.50596	−	8.15821i	−0.237881	−	0.298294i
$749$	13.9968	−	5.49336i	0.511434	−	0.200723i
$750$	−22.1668	−	23.9197i	−0.809419	−	0.873426i
$751$	19.4759	+	10.2933i	0.710686	+	0.375609i	0.783209	−	0.621758i	$-0.213581\pi$
$751$	19.4759	+	10.2933i	0.710686	+	0.375609i	−0.0725230	+	0.997367i	$0.523105\pi$
$752$	1.50037	−	1.10732i	0.0547127	−	0.0403798i
$753$	41.5177	+	24.0044i	1.51299	+	0.874769i
$754$	1.04596	+	18.5446i	0.0380917	+	0.675354i
$755$		−	32.2017i		−	1.17194i
$756$	9.90730	−	1.09772i	0.360325	−	0.0399237i
$757$	−10.9095	−	17.3624i	−0.396514	−	0.631048i	0.587483	−	0.809237i	$-0.300119\pi$
$757$	−10.9095	−	17.3624i	−0.396514	−	0.631048i	−0.983996	+	0.178189i	$0.942976\pi$
$758$	31.9534	+	9.85632i	1.16060	+	0.357998i
$759$	5.24359	+	13.3847i	0.190330	+	0.485835i
$760$	9.72107	+	3.81524i	0.352620	+	0.138393i
$761$	−12.3252	−	39.9573i	−0.446788	−	1.44845i	−0.846785	−	0.531935i	$-0.821465\pi$
$761$	−12.3252	−	39.9573i	−0.446788	−	1.44845i	0.399997	−	0.916516i	$-0.369011\pi$
$762$	4.48752	−	5.20809i	0.162566	−	0.188669i
$763$	19.1579	+	28.0994i	0.693562	+	1.01727i
$764$	−0.779745	−	0.489946i	−0.0282102	−	0.0177256i
$765$	−51.9736	−	60.5453i	−1.87911	−	2.18902i
$766$	−6.06562	−	6.06562i	−0.219160	−	0.219160i
$767$	−1.22701	+	16.3733i	−0.0443046	+	0.591204i
$768$	−0.194990	+	1.72104i	−0.00703609	+	0.0621027i
$769$	−31.7130	+	13.8362i	−1.14360	+	0.498947i	−0.884332	−	0.466858i	$-0.845386\pi$
$769$	−31.7130	+	13.8362i	−1.14360	+	0.498947i	−0.259267	+	0.965806i	$0.583481\pi$
$770$	6.30875	−	9.25323i	0.227351	−	0.333463i
$771$	−8.06998	+	8.06003i	−0.290633	+	0.290275i
$772$	−3.93143	+	3.38327i	−0.141495	+	0.121766i
$773$	7.63681	−	12.1539i	0.274677	−	0.437146i	−0.680688	−	0.732573i	$-0.738319\pi$
$773$	7.63681	−	12.1539i	0.274677	−	0.437146i	0.955365	+	0.295427i	$0.0954620\pi$
$774$	−2.09314	−	3.07823i	−0.0752364	−	0.110645i
$775$	−83.3026	+	29.1488i	−2.99232	+	1.04706i
$776$	−10.4449	−	9.69146i	−0.374951	−	0.347903i
$777$	4.74092	+	1.86405i	0.170080	+	0.0668724i
$778$	20.5409	+	3.09604i	0.736427	+	0.110998i
$779$	15.0486	+	16.2185i	0.539171	+	0.581088i
$780$	0.847485	+	23.0297i	0.0303448	+	0.824597i
$781$	3.27467	−	7.50563i	0.117177	−	0.268572i
$782$	−37.8124			−1.35217
$783$	10.7498	−	25.8349i	0.384168	−	0.923263i
$784$	3.32001			0.118572
$785$	24.7287	−	56.6787i	0.882605	−	2.02295i
$786$	−0.0958009	−	2.60331i	−0.00341711	−	0.0928571i
$787$	−21.3673	−	23.0285i	−0.761662	−	0.820876i	0.226545	−	0.974001i	$-0.427257\pi$
$787$	−21.3673	−	23.0285i	−0.761662	−	0.820876i	−0.988207	+	0.153124i	$0.951067\pi$
$788$	26.9557	+	4.06291i	0.960255	+	0.144735i
$789$	−39.6097	−	15.5739i	−1.41014	−	0.554445i
$790$	41.2023	+	38.2302i	1.46591	+	1.36017i
$791$	20.8062	−	7.28041i	0.739784	−	0.258861i
$792$	1.97495	−	4.08811i	0.0701768	−	0.145265i
$793$	16.5975	−	26.4148i	0.589395	−	0.938016i
$794$	13.9815	−	12.0320i	0.496183	−	0.427000i
$795$	1.04468	−	1.04339i	0.0370510	−	0.0370053i
$796$	7.51894	−	11.0283i	0.266502	−	0.390886i
$797$	24.0525	−	10.4940i	0.851984	−	0.371717i	0.0719153	−	0.997411i	$-0.477089\pi$
$797$	24.0525	−	10.4940i	0.851984	−	0.371717i	0.780069	+	0.625694i	$0.215184\pi$
$798$	−1.01261	+	8.93764i	−0.0358462	+	0.316389i
$799$	0.960828	−	12.8214i	0.0339916	−	0.453587i
$800$	6.98684	+	6.98684i	0.247022	+	0.247022i
$801$	43.6118	−	8.19609i	1.54095	−	0.289594i
$802$	−25.3062	−	15.9009i	−0.893592	−	0.561481i
$803$	9.26888	+	13.5949i	0.327092	+	0.479755i
$804$	1.49710	−	1.73749i	0.0527985	−	0.0612765i
$805$	−11.9619	−	38.7797i	−0.421603	−	1.36680i
$806$	28.6776	+	11.2551i	1.01013	+	0.396445i
$807$	−14.4014	−	36.7607i	−0.506952	−	1.29404i
$808$	1.04564	+	0.322537i	0.0367855	+	0.0113468i
$809$	−7.61146	−	12.1136i	−0.267605	−	0.425890i	0.685707	−	0.727877i	$-0.259493\pi$
$809$	−7.61146	−	12.1136i	−0.267605	−	0.425890i	−0.953312	+	0.301987i	$0.902350\pi$
$810$	13.9620	−	31.7870i	0.490575	−	1.11688i
$811$			11.0291i			0.387284i	0.981072	+	0.193642i	$0.0620300\pi$
$811$			11.0291i			0.387284i	−0.981072	+	0.193642i	$0.937970\pi$
$812$	−4.99487	+	9.04273i	−0.175286	+	0.317337i
$813$	−24.9535	−	14.4275i	−0.875159	−	0.505993i
$814$	1.86691	−	1.37784i	0.0654351	−	0.0482933i
$815$	4.48759	+	2.37176i	0.157194	+	0.0830792i
$816$	8.11750	+	8.75942i	0.284169	+	0.306641i
$817$	3.12686	−	1.22720i	0.109395	−	0.0429344i
$818$	−12.5189	−	15.6982i	−0.437712	−	0.548874i
$819$	−18.9750	+	5.82737i	−0.663038	+	0.203625i
$820$	10.4127	+	29.7577i	0.363626	+	1.03918i
$821$	10.5154	−	7.16929i	0.366990	−	0.250210i	−0.365757	−	0.930710i	$-0.619190\pi$
$821$	10.5154	−	7.16929i	0.366990	−	0.250210i	0.732748	+	0.680500i	$0.238238\pi$
$822$	2.19021	+	1.37809i	0.0763925	+	0.0480664i
$823$	28.0279	−	5.30316i	0.976990	−	0.184857i	0.327188	−	0.944959i	$-0.393899\pi$
$823$	28.0279	−	5.30316i	0.976990	−	0.184857i	0.649803	+	0.760103i	$0.274851\pi$
$824$	0.334687	+	0.0896792i	0.0116594	+	0.00312412i
$825$	−11.2234	−	23.3424i	−0.390748	−	0.812678i
$826$	−5.42278	+	7.34760i	−0.188683	+	0.255656i
$827$	−32.9605	−	3.71375i	−1.14615	−	0.129140i	−0.481604	−	0.876389i	$-0.659946\pi$
$827$	−32.9605	−	3.71375i	−1.14615	−	0.129140i	−0.664544	+	0.747249i	$0.731374\pi$
$828$	−7.12005	−	14.8317i	−0.247439	−	0.515438i
$829$	24.4932	−	24.4932i	0.850683	−	0.850683i	−0.139534	−	0.990217i	$-0.544561\pi$
$829$	24.4932	−	24.4932i	0.850683	−	0.850683i	0.990217	+	0.139534i	$0.0445606\pi$
$830$	−28.2125	−	32.7835i	−0.979270	−	1.13793i
$831$	−55.0046	−	2.09211i	−1.90809	−	0.0725743i
$832$	−0.257753	−	3.43947i	−0.00893597	−	0.119242i
$833$	14.9317	−	17.3510i	0.517354	−	0.601176i
$834$	−25.1004	+	27.0184i	−0.869156	+	0.935569i
$835$	−38.7520	+	5.84092i	−1.34107	+	0.202134i
$836$	3.20311	+	2.55440i	0.110782	+	0.0883457i
$837$	−31.5049	−	34.0805i	−1.08897	−	1.17799i
$838$	9.92410	−	6.23572i	0.342822	−	0.215410i
$839$	10.7960	+	4.71025i	0.372720	+	0.162616i	0.577899	−	0.816109i	$-0.303873\pi$
$839$	10.7960	+	4.71025i	0.372720	+	0.162616i	−0.205179	+	0.978724i	$0.565778\pi$
$840$	−6.41552	+	11.0962i	−0.221356	+	0.382855i
$841$	15.4409	+	24.5475i	0.532444	+	0.846466i
$842$	−10.6252	+	6.13446i	−0.366168	+	0.211407i
$843$	−22.3950	+	16.5069i	−0.771325	+	0.568529i
$844$	9.46020	−	0.353976i	0.325633	−	0.0121843i
$845$	0.947326	+	4.15051i	0.0325890	+	0.142782i
$846$	5.21003	−	2.03737i	0.179125	−	0.0700463i
$847$	−13.0628	+	10.4173i	−0.448844	+	0.357941i
$848$	−0.150305	+	0.161991i	−0.00516151	+	0.00556278i
$849$	−13.9166	+	4.86001i	−0.477618	+	0.166795i
$850$	67.9378	−	5.09123i	2.33025	−	0.174628i
$851$	0.314388	−	8.40219i	0.0107771	−	0.288023i
$852$	−3.10085	+	8.84422i	−0.106233	+	0.302998i
$853$	12.9347	−	3.46585i	0.442876	−	0.118668i	−0.0304879	−	0.999535i	$-0.509706\pi$
$853$	12.9347	−	3.46585i	0.442876	−	0.118668i	0.473364	+	0.880867i	$0.343039\pi$
$854$	15.6326	−	7.52825i	0.534935	−	0.257611i
$855$	25.1842	+	18.6348i	0.861280	+	0.637296i
$856$	−0.877600	+	7.78892i	−0.0299957	+	0.266220i
$857$	18.6271	+	1.39591i	0.636289	+	0.0476833i	0.388969	−	0.921251i	$-0.372831\pi$
$857$	18.6271	+	1.39591i	0.636289	+	0.0476833i	0.247320	+	0.968934i	$0.420450\pi$
$858$	−2.34538	+	8.73154i	−0.0800700	+	0.298090i
$859$	−0.924396	−	4.88555i	−0.0315400	−	0.166693i	0.963255	−	0.268588i	$-0.0865570\pi$
$859$	−0.924396	−	4.88555i	−0.0315400	−	0.166693i	−0.994795	+	0.101895i	$0.967509\pi$
$860$	4.78321	+	0.178975i	0.163106	+	0.00610300i
$861$	−22.4460	+	15.2831i	−0.764957	+	0.520848i
$862$	5.38301	−	28.4499i	0.183346	−	0.969007i
$863$	8.14449	−	35.6833i	0.277242	−	1.21467i	−0.624023	−	0.781406i	$-0.714503\pi$
$863$	8.14449	−	35.6833i	0.277242	−	1.21467i	0.901265	−	0.433269i	$-0.142640\pi$
$864$	−1.90732	+	4.83344i	−0.0648882	+	0.164437i
$865$	−44.5490	+	55.8626i	−1.51471	+	1.89939i
$866$	9.93444	−	32.2067i	0.337586	−	1.09443i
$867$	52.8618	−	1.94529i	1.79528	−	0.0660657i
$868$	10.1747	+	13.7863i	0.345353	+	0.467936i
$869$	11.0254	+	19.0965i	0.374010	+	0.647805i
$870$	18.5585	+	30.8256i	0.629193	+	1.04509i
$871$	−2.28358	+	3.95528i	−0.0773763	+	0.134020i
$872$	−17.6169	+	1.98495i	−0.596584	+	0.0672189i
$873$	−22.6974	−	36.2218i	−0.768189	−	1.22592i
$874$	14.4739	−	3.30356i	0.489585	−	0.111745i
$875$	13.1958	+	33.6222i	0.446098	+	1.13664i
$876$	−11.7321	−	14.7302i	−0.396390	−	0.497687i
$877$	−27.2340	+	8.40058i	−0.919627	+	0.283667i	−0.718200	−	0.695836i	$-0.755034\pi$
$877$	−27.2340	+	8.40058i	−0.919627	+	0.283667i	−0.201427	+	0.979504i	$0.564558\pi$
$878$	17.0431	+	14.6668i	0.575176	+	0.494979i
$879$	−2.05409	+	4.25865i	−0.0692829	+	0.143641i
$880$	2.72792	+	5.16147i	0.0919581	+	0.173993i
$881$	1.62314	+	0.567963i	0.0546851	+	0.0191352i	0.357483	−	0.933920i	$-0.383635\pi$
$881$	1.62314	+	0.567963i	0.0546851	+	0.0191352i	−0.302798	+	0.953055i	$0.597921\pi$
$882$	9.61747	+	2.58972i	0.323837	+	0.0872003i
$883$	17.6600	+	36.6714i	0.594307	+	1.23409i	0.953659	+	0.300889i	$0.0972835\pi$
$883$	17.6600	+	36.6714i	0.594307	+	1.23409i	−0.359352	+	0.933202i	$0.617002\pi$
$884$	−19.1345	−	14.1219i	−0.643564	−	0.474972i
$885$	12.7013	+	29.1607i	0.426948	+	0.980225i
$886$	8.69479	+	5.92801i	0.292107	+	0.199155i
$887$	−10.7790	+	40.2280i	−0.361925	+	1.35072i	0.509617	+	0.860401i	$0.329787\pi$
$887$	−10.7790	+	40.2280i	−0.361925	+	1.35072i	−0.871542	+	0.490321i	$0.836879\pi$
$888$	−2.01390	+	1.73094i	−0.0675820	+	0.0580865i
$889$	−6.73174	+	3.55783i	−0.225775	+	0.119326i
$890$	−24.7576	+	51.4096i	−0.829876	+	1.72325i
$891$	8.90993	−	10.3020i	0.298494	−	0.345130i
$892$	2.18772	+	0.499334i	0.0732504	+	0.0167189i
$893$	0.752379	+	4.99171i	0.0251774	+	0.167041i
$894$	−10.0220	+	3.92621i	−0.335185	+	0.131312i
$895$	73.4248	−	68.1283i	2.45432	−	2.27728i
$896$	0.896375	−	1.69602i	0.0299458	−	0.0566602i
$897$	19.4385	+	26.3723i	0.649033	+	0.880544i
$898$	1.59133	+	0.918757i	0.0531035	+	0.0306593i
$899$	47.6868	−	6.28988i	1.59044	−	0.209779i
$900$	14.7896	+	25.6896i	0.492988	+	0.856319i
$901$	0.170595	+	1.51408i	0.00568335	+	0.0504412i
$902$	0.462473	+	12.3599i	0.0153987	+	0.411538i
$903$	0.914931	+	4.02000i	0.0304470	+	0.133777i
$904$	−1.71262	+	11.3625i	−0.0569609	+	0.377911i
$905$	−4.01021	+	10.2179i	−0.133304	+	0.339653i
$906$	−3.22602	+	14.0940i	−0.107177	+	0.468243i
$907$	−48.2197	−	9.12367i	−1.60111	−	0.302946i	−0.692764	−	0.721165i	$-0.743607\pi$
$907$	−48.2197	−	9.12367i	−1.60111	−	0.302946i	−0.908347	+	0.418218i	$0.862655\pi$
$908$	11.1068	+	5.34876i	0.368593	+	0.177505i
$909$	2.77744	+	1.74996i	0.0921218	+	0.0580426i
$910$	8.42997	−	24.0915i	0.279451	−	0.798625i
$911$	4.94453	+	18.4532i	0.163820	+	0.611383i	0.998188	+	0.0601754i	$0.0191660\pi$
$911$	4.94453	+	18.4532i	0.163820	+	0.611383i	−0.834368	+	0.551207i	$0.814167\pi$
$912$	−3.87251	−	2.64373i	−0.128232	−	0.0875427i
$913$	−6.78549	−	15.5525i	−0.224567	−	0.514713i
$914$	−2.05141	−	4.70188i	−0.0678546	−	0.155524i
$915$	4.55332	−	60.2610i	0.150528	−	1.99217i
$916$	0.0640133	+	0.238901i	0.00211506	+	0.00789351i
$917$	−0.952936	+	2.72333i	−0.0314687	+	0.0899324i
$918$	16.6823	+	31.7063i	0.550598	+	1.04647i
$919$	−22.5981	−	10.8827i	−0.745443	−	0.358987i	0.0222937	−	0.999751i	$-0.492903\pi$
$919$	−22.5981	−	10.8827i	−0.745443	−	0.358987i	−0.767737	+	0.640765i	$0.778617\pi$
$920$	20.7864	+	3.93300i	0.685307	+	0.129667i
$921$	14.5814	+	13.5463i	0.480473	+	0.446365i
$922$	6.11543	−	15.5819i	0.201401	−	0.513161i
$923$	2.78158	−	18.4546i	0.0915568	−	0.607440i
$924$	−3.68822	+	3.41794i	−0.121334	+	0.112442i
$925$	0.566446	+	15.1386i	0.0186246	+	0.497754i
$926$	−2.22661	−	19.7617i	−0.0731709	−	0.649410i
$927$	0.899575	+	0.520851i	0.0295459	+	0.0171070i
$928$	−2.95094	−	4.50466i	−0.0968692	−	0.147873i
$929$	12.1729	+	7.02805i	0.399381	+	0.230583i	0.686217	−	0.727397i	$-0.259270\pi$
$929$	12.1729	+	7.02805i	0.399381	+	0.230583i	−0.286836	+	0.957980i	$0.592603\pi$
$930$	59.3076	−	6.64531i	1.94477	−	0.217908i
$931$	−4.19967	+	7.94617i	−0.137639	+	0.260425i
$932$	18.5354	−	17.1983i	0.607147	−	0.563351i
$933$	13.2093	+	10.5474i	0.432454	+	0.345307i
$934$	−4.13586	−	27.4396i	−0.135329	−	0.897852i
$935$	39.2436	+	8.95710i	1.28340	+	0.292928i
$936$	1.93623	−	10.1646i	0.0632878	−	0.332239i
$937$	−13.9518	+	28.9712i	−0.455785	+	0.946448i	0.538791	+	0.842439i	$0.318881\pi$
$937$	−13.9518	+	28.9712i	−0.455785	+	0.946448i	−0.994576	+	0.104008i	$0.966833\pi$
$938$	−2.24580	+	1.18694i	−0.0733280	+	0.0387550i
$939$	1.67430	+	8.87889i	0.0546388	+	0.289752i
$940$	−1.86178	+	6.94827i	−0.0607247	+	0.226628i
$941$	−8.89757	−	6.06626i	−0.290052	−	0.197754i	0.409548	−	0.912288i	$-0.365686\pi$
$941$	−8.89757	−	6.06626i	−0.290052	−	0.197754i	−0.699601	+	0.714534i	$0.746639\pi$
$942$	−16.5015	+	22.3298i	−0.537646	+	0.727545i
$943$	36.0619	+	26.6149i	1.17434	+	0.866700i
$944$	−2.06546	−	4.28897i	−0.0672250	−	0.139594i
$945$	−27.2400	+	27.1393i	−0.886116	+	0.882842i
$946$	1.77247	+	0.620212i	0.0576278	+	0.0201648i
$947$	27.1799	+	51.4270i	0.883230	+	1.67115i	0.730531	+	0.682879i	$0.239272\pi$
$947$	27.1799	+	51.4270i	0.883230	+	1.67115i	0.152698	+	0.988273i	$0.451204\pi$
$948$	−14.2035	−	20.8604i	−0.461308	−	0.677513i
$949$	28.4238	+	24.4607i	0.922675	+	0.794026i
$950$	−25.5604	+	7.88435i	−0.829290	+	0.255802i
$951$	−16.6646	+	42.3838i	−0.540387	+	1.37439i
$952$	−4.83229	−	12.3125i	−0.156615	−	0.399050i
$953$	−11.2157	+	2.55992i	−0.363313	+	0.0829239i	−0.400281	−	0.916393i	$-0.631087\pi$
$953$	−11.2157	+	2.55992i	−0.363313	+	0.0829239i	0.0369674	+	0.999316i	$0.488230\pi$
$954$	−0.561765	+	0.352014i	−0.0181878	+	0.0113969i
$955$	3.53009	−	0.397746i	0.114231	−	0.0128707i
$956$	8.41276	−	14.5713i	0.272088	−	0.471270i
$957$	3.39276	+	13.7022i	0.109672	+	0.442928i
$958$	−17.9919	−	31.1629i	−0.581293	−	1.00683i
$959$	−1.70189	−	2.30597i	−0.0549568	−	0.0744638i
$960$	−3.55129	−	5.65959i	−0.114617	−	0.182663i
$961$	14.3779	−	46.6120i	0.463803	−	1.50361i
$962$	3.29709	−	4.13442i	0.106302	−	0.133299i
$963$	−8.61785	+	21.8785i	−0.277706	+	0.705025i
$964$	−0.184665	+	0.809070i	−0.00594766	+	0.0260584i
$965$	3.71979	−	19.6595i	0.119744	−	0.632863i
$966$	1.35049	+	18.1715i	0.0434514	+	0.584658i
$967$	12.9667	+	0.485181i	0.416982	+	0.0156024i	0.245059	−	0.969508i	$-0.421193\pi$
$967$	12.9667	+	0.485181i	0.416982	+	0.0156024i	0.171923	+	0.985110i	$0.445002\pi$
$968$	−1.61923	−	8.55782i	−0.0520439	−	0.275059i
$969$	−31.2332	+	8.34826i	−1.00336	+	0.268185i
$970$	54.8111	+	4.10752i	1.75988	+	0.131885i
$971$	−0.256885	+	2.27992i	−0.00824384	+	0.0731661i	−0.997161	−	0.0753055i	$-0.976007\pi$
$971$	−0.256885	+	2.27992i	−0.00824384	+	0.0731661i	0.988917	+	0.148472i	$0.0474354\pi$
$972$	−9.29538	+	12.5138i	−0.298150	+	0.401381i
$973$	36.7998	−	17.7218i	1.17975	−	0.568136i
$974$	−1.31269	+	0.351735i	−0.0420614	+	0.0112703i
$975$	−38.4761	−	44.7659i	−1.23222	−	1.43366i
$976$	−0.338195	+	9.03844i	−0.0108253	+	0.289313i
$977$	−39.5881	+	2.96672i	−1.26654	+	0.0949137i	−0.690995	−	0.722859i	$-0.742827\pi$
$977$	−39.5881	+	2.96672i	−1.26654	+	0.0949137i	−0.575541	+	0.817773i	$0.695208\pi$
$978$	−1.72653	−	1.48765i	−0.0552082	−	0.0475698i
$979$	−15.2261	+	16.4099i	−0.486630	+	0.524462i
$980$	−10.0131	+	7.98516i	−0.319856	+	0.255077i
$981$	−52.5813	−	7.99171i	−1.67879	−	0.255156i
$982$	−5.14373	−	22.5362i	−0.164143	−	0.719158i
$983$	17.5805	−	0.657815i	0.560730	−	0.0209810i	0.244476	−	0.969655i	$-0.421384\pi$
$983$	17.5805	−	0.657815i	0.560730	−	0.0209810i	0.316254	+	0.948674i	$0.397575\pi$
$984$	−1.57624	−	14.0675i	−0.0502488	−	0.448457i
$985$	−91.0695	+	52.5790i	−2.90171	+	1.67531i
$986$	−36.8140	−	4.83755i	−1.17240	−	0.154059i
$987$	−6.19587	−	0.00382211i	−0.197217	−	0.000121659i
$988$	8.55812	+	3.73387i	0.272270	+	0.118790i
$989$	5.76174	−	3.62034i	0.183213	−	0.115120i
$990$	3.87617	+	17.0797i	0.123193	+	0.542829i
$991$	−13.4916	−	10.7592i	−0.428575	−	0.341777i	0.385326	−	0.922780i	$-0.374089\pi$
$991$	−13.4916	−	10.7592i	−0.428575	−	0.341777i	−0.813901	+	0.581003i	$0.802660\pi$
$992$	−8.83215	+	1.33123i	−0.280421	+	0.0422667i
$993$	1.43128	+	4.65029i	0.0454204	+	0.147573i
$994$	6.77075	−	7.86775i	0.214755	−	0.249550i
$995$	3.84779	+	51.3452i	0.121983	+	1.62775i
$996$	9.06376	+	17.1751i	0.287196	+	0.544214i
$997$	0.582513	+	0.676893i	0.0184484	+	0.0214374i	0.767120	−	0.641503i	$-0.221689\pi$
$997$	0.582513	+	0.676893i	0.0184484	+	0.0214374i	−0.748672	+	0.662941i	$0.769308\pi$
$998$	17.6764	−	17.6764i	0.559537	−	0.559537i
$999$	−7.18408	+	3.44331i	−0.227294	+	0.108941i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	522.2.x.a.101.23	✓	720
9.5	odd	6	inner	522.2.x.a.275.3	yes	720
29.27	odd	28	inner	522.2.x.a.317.3	yes	720
261.230	even	84	inner	522.2.x.a.491.23	yes	720

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
522.2.x.a.101.23	✓	720	1.1	even	1	trivial
522.2.x.a.275.3	yes	720	9.5	odd	6	inner
522.2.x.a.317.3	yes	720	29.27	odd	28	inner
522.2.x.a.491.23	yes	720	261.230	even	84	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 522 = 2 \cdot 3^{2} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	522.x (of order \(84\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(0.399892 - 0.916562i) q^{2} +(-0.0636957 - 1.73088i) q^{3} +(-0.680173 - 0.733052i) q^{4} +(3.81449 + 0.574942i) q^{5} +(-1.61193 - 0.633784i) q^{6} +(1.40623 + 1.30480i) q^{7} +(-0.943883 + 0.330279i) q^{8} +(-2.99189 + 0.220499i) q^{9} +(2.05235 - 3.26630i) q^{10} +(1.14711 - 0.987164i) q^{11} +(-1.22550 + 1.22399i) q^{12} +(1.94296 - 2.84979i) q^{13} +(1.75827 - 0.767124i) q^{14} +(0.752188 - 6.63904i) q^{15} +(-0.0747301 + 0.997204i) q^{16} +(4.87547 + 4.87547i) q^{17} +(-0.994330 + 2.83043i) q^{18} +(-2.29219 - 1.44028i) q^{19} +(-2.17305 - 3.18728i) q^{20} +(2.16887 - 2.51713i) q^{21} +(-0.446079 - 1.44615i) q^{22} +(-5.10497 - 2.00355i) q^{23} +(0.631794 + 1.61271i) q^{24} +(9.44190 + 2.91244i) q^{25} +(-1.83504 - 2.92045i) q^{26} +(0.572228 + 5.16455i) q^{27} -1.91833i q^{28} +(-4.71386 - 2.60376i) q^{29} +(-5.78430 - 3.34433i) q^{30} +(-7.18660 + 5.30395i) q^{31} +(0.884115 + 0.467269i) q^{32} +(-1.78173 - 1.92262i) q^{33} +(6.41833 - 2.51901i) q^{34} +(4.61389 + 5.78563i) q^{35} +(2.19664 + 2.04323i) q^{36} +(0.506378 + 1.44714i) q^{37} +(-2.23673 + 1.52498i) q^{38} +(-5.05640 - 3.18150i) q^{39} +(-3.79032 + 0.717168i) q^{40} +(-7.89425 - 2.11526i) q^{41} +(-1.43979 - 2.99449i) q^{42} +(-0.736824 + 0.998361i) q^{43} +(-1.50387 - 0.169446i) q^{44} +(-11.5393 - 0.879068i) q^{45} +(-3.87782 + 3.87782i) q^{46} +(-1.21635 - 1.41342i) q^{47} +(1.73080 + 0.0658312i) q^{48} +(-0.248105 - 3.31073i) q^{49} +(6.44518 - 7.48943i) q^{50} +(8.12830 - 8.74940i) q^{51} +(-3.41059 + 0.514064i) q^{52} +(0.172770 + 0.137780i) q^{53} +(4.96246 + 1.54078i) q^{54} +(4.94318 - 3.10601i) q^{55} +(-1.75827 - 0.767124i) q^{56} +(-2.34695 + 4.05925i) q^{57} +(-4.27154 + 3.27932i) q^{58} +(-4.12263 + 2.38020i) q^{59} +(-5.37838 + 3.96430i) q^{60} +(9.03844 - 0.338195i) q^{61} +(1.98754 + 8.70797i) q^{62} +(-4.49500 - 3.59372i) q^{63} +(0.781831 - 0.623490i) q^{64} +(9.04985 - 9.75342i) q^{65} +(-2.47470 + 0.864223i) q^{66} +(-1.32045 + 0.0989543i) q^{67} +(0.257811 - 6.89014i) q^{68} +(-3.14275 + 8.96371i) q^{69} +(7.14795 - 1.91529i) q^{70} +(4.87511 - 2.34773i) q^{71} +(2.75116 - 1.19628i) q^{72} +(-1.21731 + 10.8039i) q^{73} +(1.52889 + 0.114575i) q^{74} +(4.43968 - 16.5283i) q^{75} +(0.503287 + 2.65993i) q^{76} +(2.90115 + 0.108553i) q^{77} +(-4.93806 + 3.36225i) q^{78} +(-2.70882 + 14.3164i) q^{79} +(-0.858391 + 3.76086i) q^{80} +(8.90276 - 1.31942i) q^{81} +(-5.09561 + 6.38970i) q^{82} +(3.30483 - 10.7140i) q^{83} +(-3.32040 + 0.122189i) q^{84} +(15.7943 + 21.4005i) q^{85} +(0.620410 + 1.07458i) q^{86} +(-4.20654 + 8.32496i) q^{87} +(-0.756694 + 1.31063i) q^{88} +(-14.6988 + 1.65615i) q^{89} +(-5.42019 + 10.2249i) q^{90} +(6.45065 - 1.47232i) q^{91} +(2.00355 + 5.10497i) q^{92} +(9.63825 + 12.1013i) q^{93} +(-1.78190 + 0.549642i) q^{94} +(-7.91546 - 6.81181i) q^{95} +(0.752471 - 1.56006i) q^{96} +(6.65789 + 12.5973i) q^{97} +(-3.13371 - 1.09653i) q^{98} +(-3.21434 + 3.20642i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 720 q + 24 q^{11} - 12 q^{14} - 20 q^{15} - 60 q^{16} + 84 q^{21} + 20 q^{24} + 60 q^{25} - 144 q^{27} - 12 q^{29} + 72 q^{30} + 84 q^{33} - 40 q^{36} + 40 q^{39} - 12 q^{41} - 104 q^{45} + 24 q^{46} - 24 q^{47}+ \cdots - 84 q^{99}+O(q^{100}) \) 720 * q + 24 * q^11 - 12 * q^14 - 20 * q^15 - 60 * q^16 + 84 * q^21 + 20 * q^24 + 60 * q^25 - 144 * q^27 - 12 * q^29 + 72 * q^30 + 84 * q^33 - 40 * q^36 + 40 * q^39 - 12 * q^41 - 104 * q^45 + 24 * q^46 - 24 * q^47 + 60 * q^49 + 16 * q^54 - 144 * q^55 + 12 * q^56 + 12 * q^58 + 120 * q^59 - 16 * q^60 - 12 * q^61 + 36 * q^65 - 48 * q^66 - 36 * q^68 + 52 * q^69 - 180 * q^74 - 184 * q^75 - 132 * q^77 - 68 * q^78 + 12 * q^79 - 216 * q^81 + 96 * q^82 - 432 * q^83 - 80 * q^84 - 48 * q^85 - 200 * q^87 - 112 * q^90 - 252 * q^92 - 112 * q^93 + 192 * q^95 + 24 * q^97 - 84 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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