LMFDB - Embedded newform 820.2.bv.c.207.45

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [820,2,Mod(103,820)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(820, base_ring=CyclotomicField(20)) chi = DirichletCharacter(H, H._module([10, 15, 7])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("820.103"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 820 = 2^{2} \cdot 5 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	820.bv (of order $20$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [960,-10] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(2)] == traces)

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

Self dual:	no
Analytic conductor:	$6.54773296574$
Analytic rank:	$0$
Dimension:	$960$
Relative dimension:	$120$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			207.45
Character	$\chi$	$=$	820.207
Dual form			820.2.bv.c.103.45

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.555460 - 1.30056i) q^{2} -1.73013 q^{3} +(-1.38293 + 1.44482i) q^{4} +(-1.96065 + 1.07511i) q^{5} +(0.961018 + 2.25014i) q^{6} +(-4.32334 - 1.40474i) q^{7} +(2.64724 + 0.996046i) q^{8} -0.00664869 q^{9} +(2.48731 + 1.95276i) q^{10} +(-0.524708 - 3.31288i) q^{11} +(2.39265 - 2.49973i) q^{12} +(-5.21822 + 1.69550i) q^{13} +(0.574491 + 6.40306i) q^{14} +(3.39217 - 1.86008i) q^{15} +(-0.175015 - 3.99617i) q^{16} +(-3.42756 + 4.71763i) q^{17} +(0.00369308 + 0.00864704i) q^{18} +(0.330761 - 0.168531i) q^{19} +(1.15809 - 4.31959i) q^{20} +(7.47995 + 2.43038i) q^{21} +(-4.01715 + 2.52259i) q^{22} +(-1.26429 + 2.48132i) q^{23} +(-4.58007 - 1.72329i) q^{24} +(2.68827 - 4.21583i) q^{25} +(5.10362 + 5.84484i) q^{26} +5.20189 q^{27} +(8.00848 - 4.30380i) q^{28} +(-3.02368 - 0.478905i) q^{29} +(-4.30337 - 3.37853i) q^{30} +(2.23580 - 3.07732i) q^{31} +(-5.10006 + 2.44733i) q^{32} +(0.907813 + 5.73171i) q^{33} +(8.03945 + 1.83730i) q^{34} +(9.98680 - 1.89388i) q^{35} +(0.00919467 - 0.00960617i) q^{36} +(3.09680 + 0.490485i) q^{37} +(-0.402910 - 0.336564i) q^{38} +(9.02820 - 2.93344i) q^{39} +(-6.26117 + 0.893188i) q^{40} +(2.45027 - 5.91576i) q^{41} +(-0.993945 - 11.0781i) q^{42} +(-2.10232 - 1.07119i) q^{43} +(5.51215 + 3.82336i) q^{44} +(0.0130357 - 0.00714809i) q^{45} +(3.92937 + 0.266023i) q^{46} +(-1.54117 - 4.74323i) q^{47} +(0.302800 + 6.91389i) q^{48} +(11.0549 + 8.03185i) q^{49} +(-6.97618 - 1.15454i) q^{50} +(5.93013 - 8.16212i) q^{51} +(4.76673 - 9.88415i) q^{52} +(2.21862 + 3.05367i) q^{53} +(-2.88944 - 6.76539i) q^{54} +(4.59048 + 5.93126i) q^{55} +(-10.0458 - 8.02494i) q^{56} +(-0.572260 + 0.291581i) q^{57} +(1.05669 + 4.19850i) q^{58} +(0.610546 + 1.87907i) q^{59} +(-2.00365 + 7.47345i) q^{60} +(-3.93490 - 1.27853i) q^{61} +(-5.24414 - 1.19848i) q^{62} +(0.0287446 + 0.00933968i) q^{63} +(6.01578 + 5.27355i) q^{64} +(8.40823 - 8.93445i) q^{65} +(6.95019 - 4.36440i) q^{66} +(-8.02513 + 5.83060i) q^{67} +(-2.07606 - 11.4764i) q^{68} +(2.18739 - 4.29300i) q^{69} +(-8.01038 - 11.9365i) q^{70} +(-0.960600 - 6.06499i) q^{71} +(-0.0176007 - 0.00662240i) q^{72} +(1.33173 + 1.33173i) q^{73} +(-1.08224 - 4.30003i) q^{74} +(-4.65105 + 7.29394i) q^{75} +(-0.213922 + 0.710958i) q^{76} +(-2.38524 + 15.0598i) q^{77} +(-8.82993 - 10.1123i) q^{78} +(-5.38411 + 5.38411i) q^{79} +(4.63947 + 7.64691i) q^{80} -8.98001 q^{81} +(-9.05484 + 0.0992377i) q^{82} +(-6.44284 - 6.44284i) q^{83} +(-13.8557 + 7.44614i) q^{84} +(1.64825 - 12.9346i) q^{85} +(-0.225391 + 3.32921i) q^{86} +(5.23137 + 0.828567i) q^{87} +(1.91075 - 9.29262i) q^{88} +(4.00873 - 2.04255i) q^{89} +(-0.0165374 - 0.0129833i) q^{90} +24.9419 q^{91} +(-1.83663 - 5.25816i) q^{92} +(-3.86823 + 5.32416i) q^{93} +(-5.31281 + 4.63906i) q^{94} +(-0.467316 + 0.686036i) q^{95} +(8.82376 - 4.23420i) q^{96} +(8.70996 + 11.9882i) q^{97} +(4.30538 - 18.8390i) q^{98} +(0.00348862 + 0.0220263i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 960 q - 10 q^{2} - 20 q^{5} - 16 q^{6} + 2 q^{8} + 960 q^{9} - 60 q^{10} - 40 q^{12} - 20 q^{13} - 8 q^{14} - 28 q^{16} - 20 q^{17} - 48 q^{18} - 34 q^{20} - 40 q^{21} - 10 q^{22} - 48 q^{24} - 4 q^{25}+ \cdots - 38 q^{98}+O(q^{100}) $ 960 * q - 10 * q^2 - 20 * q^5 - 16 * q^6 + 2 * q^8 + 960 * q^9 - 60 * q^10 - 40 * q^12 - 20 * q^13 - 8 * q^14 - 28 * q^16 - 20 * q^17 - 48 * q^18 - 34 * q^20 - 40 * q^21 - 10 * q^22 - 48 * q^24 - 4 * q^25 - 20 * q^26 - 10 * q^28 - 10 * q^30 - 56 * q^33 - 20 * q^34 - 100 * q^36 + 88 * q^37 - 16 * q^40 - 24 * q^41 - 104 * q^42 - 100 * q^45 - 20 * q^46 - 40 * q^48 + 224 * q^49 - 12 * q^50 - 38 * q^52 - 20 * q^53 - 52 * q^54 + 96 * q^56 - 72 * q^57 - 38 * q^58 - 14 * q^60 - 40 * q^61 - 10 * q^62 - 120 * q^64 - 60 * q^65 - 12 * q^66 - 116 * q^68 - 104 * q^69 - 96 * q^70 - 24 * q^72 - 72 * q^73 - 28 * q^74 - 40 * q^76 - 76 * q^77 - 44 * q^78 - 90 * q^80 + 592 * q^81 - 130 * q^82 - 92 * q^84 - 64 * q^85 - 12 * q^86 - 104 * q^88 + 136 * q^89 - 364 * q^90 - 220 * q^92 - 32 * q^94 - 44 * q^96 + 80 * q^97 - 38 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/820\mathbb{Z}\right)^\times$.

$n$	$411$	$621$	$657$
$\chi(n)$	$-1$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−0.555460	−	1.30056i	−0.392769	−	0.919637i
$2$	−0.555460	−	1.30056i	−0.392769	−	0.919637i
$3$	−1.73013			−0.998891			−0.499446	−	0.866345i	$-0.666463\pi$
$3$	−1.73013			−0.998891			−0.499446	+	0.866345i	$0.666463\pi$
$4$	−1.38293	+	1.44482i	−0.691464	+	0.722411i
$5$	−1.96065	+	1.07511i	−0.876828	+	0.480805i
$5$	−1.96065	+	1.07511i	−0.876828	+	0.480805i
$6$	0.961018	+	2.25014i	0.392334	+	0.918617i
$7$	−4.32334	−	1.40474i	−1.63407	−	0.530942i	−0.658869	−	0.752258i	$-0.728965\pi$
$7$	−4.32334	−	1.40474i	−1.63407	−	0.530942i	−0.975202	+	0.221316i	$0.928965\pi$
$8$	2.64724	+	0.996046i	0.935941	+	0.352156i
$9$	−0.00664869			−0.00221623
$10$	2.48731	+	1.95276i	0.786557	+	0.617518i
$11$	−0.524708	−	3.31288i	−0.158205	−	0.998870i	−0.931214	−	0.364474i	$-0.881249\pi$
$11$	−0.524708	−	3.31288i	−0.158205	−	0.998870i	0.773008	−	0.634396i	$-0.218751\pi$
$12$	2.39265	−	2.49973i	0.690698	−	0.721610i
$13$	−5.21822	+	1.69550i	−1.44727	+	0.470248i	−0.924157	−	0.382013i	$-0.875231\pi$
$13$	−5.21822	+	1.69550i	−1.44727	+	0.470248i	−0.523117	+	0.852261i	$0.675231\pi$
$14$	0.574491	+	6.40306i	0.153539	+	1.71129i
$15$	3.39217	−	1.86008i	0.875855	−	0.480272i
$16$	−0.175015	−	3.99617i	−0.0437539	−	0.999042i
$17$	−3.42756	+	4.71763i	−0.831305	+	1.14419i	0.156373	+	0.987698i	$0.450020\pi$
$17$	−3.42756	+	4.71763i	−0.831305	+	1.14419i	−0.987679	+	0.156496i	$0.949980\pi$
$18$	0.00369308	+	0.00864704i	0.000870467	+	0.00203813i
$19$	0.330761	−	0.168531i	0.0758819	−	0.0386637i	−0.415638	−	0.909530i	$-0.636442\pi$
$19$	0.330761	−	0.168531i	0.0758819	−	0.0386637i	0.491520	+	0.870866i	$0.336442\pi$
$20$	1.15809	−	4.31959i	0.258957	−	0.965889i
$21$	7.47995	+	2.43038i	1.63226	+	0.530353i
$22$	−4.01715	+	2.52259i	−0.856459	+	0.537817i
$23$	−1.26429	+	2.48132i	−0.263624	+	0.517390i	−0.984437	−	0.175739i	$-0.943769\pi$
$23$	−1.26429	+	2.48132i	−0.263624	+	0.517390i	0.720813	+	0.693129i	$0.243769\pi$
$24$	−4.58007	−	1.72329i	−0.934904	−	0.351765i
$25$	2.68827	−	4.21583i	0.537653	−	0.843166i
$26$	5.10362	+	5.84484i	1.00090	+	1.14627i
$27$	5.20189			1.00111
$28$	8.00848	−	4.30380i	1.51346	−	0.813342i
$29$	−3.02368	−	0.478905i	−0.561484	−	0.0889303i	−0.130760	−	0.991414i	$-0.541742\pi$
$29$	−3.02368	−	0.478905i	−0.561484	−	0.0889303i	−0.430724	+	0.902484i	$0.641742\pi$
$30$	−4.30337	−	3.37853i	−0.785685	−	0.616833i
$31$	2.23580	−	3.07732i	0.401562	−	0.552703i	−0.559573	−	0.828781i	$-0.689035\pi$
$31$	2.23580	−	3.07732i	0.401562	−	0.552703i	0.961135	+	0.276078i	$0.0890349\pi$
$32$	−5.10006	+	2.44733i	−0.901571	+	0.432631i
$33$	0.907813	+	5.73171i	0.158030	+	0.997762i
$34$	8.03945	+	1.83730i	1.37875	+	0.315095i
$35$	9.98680	−	1.89388i	1.68808	−	0.320125i
$36$	0.00919467	−	0.00960617i	0.00153244	−	0.00160103i
$37$	3.09680	+	0.490485i	0.509111	+	0.0806352i	0.405705	−	0.914004i	$-0.367026\pi$
$37$	3.09680	+	0.490485i	0.509111	+	0.0806352i	0.103406	+	0.994639i	$0.467026\pi$
$38$	−0.402910	−	0.336564i	−0.0653607	−	0.0545978i
$39$	9.02820	−	2.93344i	1.44567	−	0.469726i
$40$	−6.26117	+	0.893188i	−0.989977	+	0.141226i
$41$	2.45027	−	5.91576i	0.382668	−	0.923886i
$41$	2.45027	−	5.91576i	0.382668	−	0.923886i
$42$	−0.993945	−	11.0781i	−0.153369	−	1.70939i
$43$	−2.10232	−	1.07119i	−0.320601	−	0.163355i	0.286282	−	0.958145i	$-0.407581\pi$
$43$	−2.10232	−	1.07119i	−0.320601	−	0.163355i	−0.606883	+	0.794791i	$0.707581\pi$
$44$	5.51215	+	3.82336i	0.830987	+	0.576394i
$45$	0.0130357	−	0.00714809i	0.00194325	−	0.00106557i
$46$	3.92937	+	0.266023i	0.579355	+	0.0392229i
$47$	−1.54117	−	4.74323i	−0.224803	−	0.691871i	−0.998312	−	0.0580861i	$-0.981500\pi$
$47$	−1.54117	−	4.74323i	−0.224803	−	0.691871i	0.773509	−	0.633785i	$-0.218500\pi$
$48$	0.302800	+	6.91389i	0.0437054	+	0.997935i
$49$	11.0549	+	8.03185i	1.57927	+	1.14741i
$50$	−6.97618	−	1.15454i	−0.986580	−	0.163276i
$51$	5.93013	−	8.16212i	0.830384	−	1.14293i
$52$	4.76673	−	9.88415i	0.661026	−	1.37069i
$53$	2.21862	+	3.05367i	0.304751	+	0.419454i	0.933735	−	0.357964i	$-0.116529\pi$
$53$	2.21862	+	3.05367i	0.304751	+	0.419454i	−0.628984	+	0.777418i	$0.716529\pi$
$54$	−2.88944	−	6.76539i	−0.393203	−	0.920653i
$55$	4.59048	+	5.93126i	0.618980	+	0.799771i
$56$	−10.0458	−	8.02494i	−1.34242	−	1.07238i
$57$	−0.572260	+	0.291581i	−0.0757977	+	0.0386209i
$58$	1.05669	+	4.19850i	0.138750	+	0.551291i
$59$	0.610546	+	1.87907i	0.0794863	+	0.244634i	0.982901	−	0.184134i	$-0.0589480\pi$
$59$	0.610546	+	1.87907i	0.0794863	+	0.244634i	−0.903415	+	0.428767i	$0.858948\pi$
$60$	−2.00365	+	7.47345i	−0.258670	+	0.964818i
$61$	−3.93490	−	1.27853i	−0.503812	−	0.163699i	0.0460740	−	0.998938i	$-0.485329\pi$
$61$	−3.93490	−	1.27853i	−0.503812	−	0.163699i	−0.549886	+	0.835239i	$0.685329\pi$
$62$	−5.24414	−	1.19848i	−0.666007	−	0.152207i
$63$	0.0287446	+	0.00933968i	0.00362148	+	0.00117669i
$64$	6.01578	+	5.27355i	0.751973	+	0.659194i
$65$	8.40823	−	8.93445i	1.04291	−	1.10818i
$66$	6.95019	−	4.36440i	0.855510	−	0.537221i
$67$	−8.02513	+	5.83060i	−0.980425	+	0.712321i	−0.957804	−	0.287423i	$-0.907201\pi$
$67$	−8.02513	+	5.83060i	−0.980425	+	0.712321i	−0.0226218	+	0.999744i	$0.507201\pi$
$68$	−2.07606	−	11.4764i	−0.251759	−	1.39171i
$69$	2.18739	−	4.29300i	0.263331	−	0.516817i
$70$	−8.01038	−	11.9365i	−0.957424	−	1.42668i
$71$	−0.960600	−	6.06499i	−0.114002	−	0.719782i	−0.976787	−	0.214211i	$-0.931282\pi$
$71$	−0.960600	−	6.06499i	−0.114002	−	0.719782i	0.862785	−	0.505571i	$-0.168718\pi$
$72$	−0.0176007	−	0.00662240i	−0.00207426	−	0.000780458i
$73$	1.33173	+	1.33173i	0.155868	+	0.155868i	0.780733	−	0.624865i	$-0.214846\pi$
$73$	1.33173	+	1.33173i	0.155868	+	0.155868i	−0.624865	+	0.780733i	$0.714846\pi$
$74$	−1.08224	−	4.30003i	−0.125808	−	0.499868i
$75$	−4.65105	+	7.29394i	−0.537057	+	0.842231i
$76$	−0.213922	+	0.710958i	−0.0245385	+	0.0815525i
$77$	−2.38524	+	15.0598i	−0.271823	+	1.71622i
$78$	−8.82993	−	10.1123i	−0.999792	−	1.14500i
$79$	−5.38411	+	5.38411i	−0.605760	+	0.605760i	−0.941835	−	0.336075i	$-0.890900\pi$
$79$	−5.38411	+	5.38411i	−0.605760	+	0.605760i	0.336075	+	0.941835i	$0.390900\pi$
$80$	4.63947	+	7.64691i	0.518709	+	0.854951i
$81$	−8.98001			−0.997779
$82$	−9.05484	+	0.0992377i	−0.999940	+	0.0109590i
$83$	−6.44284	−	6.44284i	−0.707193	−	0.707193i	0.258751	−	0.965944i	$-0.416689\pi$
$83$	−6.44284	−	6.44284i	−0.707193	−	0.707193i	−0.965944	+	0.258751i	$0.916689\pi$
$84$	−13.8557	+	7.44614i	−1.51178	+	0.812441i
$85$	1.64825	−	12.9346i	0.178778	−	1.40296i
$86$	−0.225391	+	3.32921i	−0.0243045	+	0.358998i
$87$	5.23137	+	0.828567i	0.560862	+	0.0888317i
$88$	1.91075	−	9.29262i	0.203687	−	0.990597i
$89$	4.00873	−	2.04255i	0.424925	−	0.216510i	−0.228432	−	0.973560i	$-0.573360\pi$
$89$	4.00873	−	2.04255i	0.424925	−	0.216510i	0.653357	+	0.757050i	$0.273360\pi$
$90$	−0.0165374	−	0.0129833i	−0.00174319	−	0.00136856i
$91$	24.9419			2.61462
$92$	−1.83663	−	5.25816i	−0.191482	−	0.548201i
$93$	−3.86823	+	5.32416i	−0.401117	+	0.552090i
$94$	−5.31281	+	4.63906i	−0.547975	+	0.478483i
$95$	−0.467316	+	0.686036i	−0.0479456	+	0.0703858i
$96$	8.82376	−	4.23420i	0.900572	−	0.432151i
$97$	8.70996	+	11.9882i	0.884362	+	1.21722i	0.975194	+	0.221354i	$0.0710476\pi$
$97$	8.70996	+	11.9882i	0.884362	+	1.21722i	−0.0908314	+	0.995866i	$0.528952\pi$
$98$	4.30538	−	18.8390i	0.434909	−	1.90302i
$99$	0.00348862	+	0.0220263i	0.000350620	+	0.00221373i
$100$	2.37344	+	9.71426i	0.237344	+	0.971426i
$101$	−14.1767	+	7.22338i	−1.41063	+	0.718753i	−0.982725	−	0.185069i	$-0.940749\pi$
$101$	−14.1767	+	7.22338i	−1.41063	+	0.718753i	−0.427907	+	0.903823i	$0.640749\pi$
$102$	−13.9093	−	3.17877i	−1.37723	−	0.314746i
$103$	1.66292	+	3.26366i	0.163852	+	0.321578i	0.958305	−	0.285748i	$-0.0922421\pi$
$103$	1.66292	+	3.26366i	0.163852	+	0.321578i	−0.794452	+	0.607326i	$0.792242\pi$
$104$	−15.5027	−	0.709183i	−1.52016	−	0.0695411i
$105$	−17.2785	+	3.27667i	−1.68621	+	0.319770i
$106$	2.73913	−	4.58165i	0.266048	−	0.445009i
$107$	−6.78585	−	13.3180i	−0.656012	−	1.28750i	−0.944026	−	0.329871i	$-0.892995\pi$
$107$	−6.78585	−	13.3180i	−0.656012	−	1.28750i	0.288014	−	0.957626i	$-0.407005\pi$
$108$	−7.19385	+	7.51581i	−0.692229	+	0.723209i
$109$	−12.0752	+	12.0752i	−1.15659	+	1.15659i	−0.171386	+	0.985204i	$0.554824\pi$
$109$	−12.0752	+	12.0752i	−1.15659	+	1.15659i	−0.985204	+	0.171386i	$0.945176\pi$
$110$	5.16415	−	9.26479i	0.492382	−	0.883363i
$111$	−5.35787	−	0.848603i	−0.508546	−	0.0805458i
$112$	−4.85693	+	17.5227i	−0.458936	+	1.65574i
$113$	18.6003	−	2.94600i	1.74977	−	0.277136i	0.802285	−	0.596942i	$-0.203618\pi$
$113$	18.6003	−	2.94600i	1.74977	−	0.277136i	0.947483	+	0.319806i	$0.103618\pi$
$114$	0.697087	+	0.582299i	0.0652882	+	0.0545373i
$115$	−0.188861	−	6.22424i	−0.0176114	−	0.580414i
$116$	4.87347	−	3.70639i	0.452490	−	0.344130i
$117$	0.0346943	−	0.0112729i	0.00320749	−	0.00104218i
$118$	2.10471	−	1.83780i	0.193754	−	0.169183i
$119$	21.4456	−	15.5811i	1.96591	−	1.42832i
$120$	10.8326	−	1.54533i	0.988880	−	0.141069i
$121$	−0.238209	+	0.0773987i	−0.0216553	+	0.00703625i
$122$	0.522874	+	5.82776i	0.0473388	+	0.527620i
$123$	−4.23928	+	10.2350i	−0.382243	+	0.922862i
$124$	1.35422	+	7.48605i	0.121612	+	0.672267i
$125$	−0.738249	+	11.1559i	−0.0660310	+	0.997818i
$126$	−0.00381961	−	0.0425720i	−0.000340278	−	0.00379261i
$127$	3.30155	−	20.8452i	0.292965	−	1.84971i	−0.200176	−	0.979760i	$-0.564151\pi$
$127$	3.30155	−	20.8452i	0.292965	−	1.84971i	0.493141	−	0.869950i	$-0.335849\pi$
$128$	3.51706	−	10.7532i	0.310867	−	0.950453i
$129$	3.63729	+	1.85329i	0.320246	+	0.163173i
$130$	−16.2903	−	5.97270i	−1.42875	−	0.523841i
$131$	14.3433	+	10.4210i	1.25318	+	0.910490i	0.998402	−	0.0565095i	$-0.0179971\pi$
$131$	14.3433	+	10.4210i	1.25318	+	0.910490i	0.254779	+	0.966999i	$0.417997\pi$
$132$	−9.53673	−	6.61492i	−0.830066	−	0.575755i
$133$	−1.66674	+	0.263985i	−0.144525	+	0.0228904i
$134$	12.0407	+	7.19852i	1.04016	+	0.621858i
$135$	−10.1991	+	5.59262i	−0.877797	+	0.481336i
$136$	−13.7726	+	9.07470i	−1.18099	+	0.778149i
$137$		−	6.17111i		−	0.527233i	−0.964628	−	0.263617i	$-0.915085\pi$
$137$		−	6.17111i		−	0.527233i	0.964628	−	0.263617i	$-0.0849154\pi$
$138$	−6.79833	−	0.460254i	−0.578712	−	0.0391794i
$139$	−4.17600	+	12.8524i	−0.354204	+	1.09013i	0.602266	+	0.798296i	$0.294265\pi$
$139$	−4.17600	+	12.8524i	−0.354204	+	1.09013i	−0.956470	+	0.291832i	$0.905735\pi$
$140$	−11.0747	+	17.0482i	−0.935984	+	1.44084i
$141$	2.66642	+	8.20641i	0.224553	+	0.691104i
$142$	−7.35433	+	4.61818i	−0.617161	+	0.387549i
$143$	8.35503	+	16.3977i	0.698683	+	1.37124i
$144$	0.00116362	+	0.0265693i	9.69686e−5	+	0.00221411i
$145$	6.44325	−	2.31184i	0.535083	−	0.191988i
$146$	0.992280	−	2.47173i	0.0821216	−	0.204562i
$147$	−19.1264	−	13.8962i	−1.57752	−	1.14614i
$148$	−4.99132	+	3.79601i	−0.410284	+	0.312030i
$149$	2.39884	−	15.1457i	0.196521	−	1.24078i	−0.670273	−	0.742115i	$-0.733823\pi$
$149$	2.39884	−	15.1457i	0.196521	−	1.24078i	0.866793	−	0.498667i	$-0.166177\pi$
$150$	12.0697	+	1.99750i	0.985487	+	0.163095i
$151$	−3.17225	+	6.22588i	−0.258154	+	0.506655i	−0.983312	−	0.181927i	$-0.941767\pi$
$151$	−3.17225	+	6.22588i	−0.258154	+	0.506655i	0.725158	+	0.688582i	$0.241767\pi$
$152$	1.04347	−	0.116690i	0.0846366	−	0.00946478i
$153$	0.0227888	−	0.0313661i	0.00184236	−	0.00253580i
$154$	20.9111	−	5.26296i	1.68506	−	0.424101i
$155$	−1.07515	+	8.43727i	−0.0863585	+	0.677698i
$156$	−8.24706	+	17.1009i	−0.660294	+	1.36917i
$157$	1.70579	−	5.24987i	0.136137	−	0.418985i	−0.859628	−	0.510920i	$-0.829305\pi$
$157$	1.70579	−	5.24987i	0.136137	−	0.418985i	0.995765	+	0.0919342i	$0.0293050\pi$
$158$	9.99304	+	4.01172i	0.795003	+	0.319155i
$159$	−3.83850	−	5.28325i	−0.304413	−	0.418989i
$160$	7.36825	−	10.2815i	0.582511	−	0.812823i
$161$	8.95158	−	8.95158i	0.705484	−	0.705484i
$162$	4.98803	+	11.6791i	0.391897	+	0.917594i
$163$	−10.5950	−	10.5950i	−0.829861	−	0.829861i	0.157636	−	0.987497i	$-0.449613\pi$
$163$	−10.5950	−	10.5950i	−0.829861	−	0.829861i	−0.987497	+	0.157636i	$0.949613\pi$
$164$	5.15867	+	11.7213i	0.402824	+	0.915277i
$165$	−7.94213	−	10.2618i	−0.618294	−	0.798884i
$166$	−4.80058	+	11.9581i	−0.372597	+	0.928125i
$167$			16.4442i			1.27249i	0.771488	+	0.636244i	$0.219513\pi$
$167$			16.4442i			1.27249i	−0.771488	+	0.636244i	$0.780487\pi$
$168$	17.3805	+	13.8842i	1.34093	+	1.07119i
$169$	13.8379	−	10.0538i	1.06445	−	0.773369i
$170$	−17.7378	+	5.04101i	−1.36043	+	0.386628i
$171$	−0.00219913	+	0.00112051i	−0.000168172	+	8.56878e-5i
$172$	4.45504	−	1.55611i	0.339693	−	0.118652i
$173$	−6.52709	−	6.52709i	−0.496245	−	0.496245i	0.414022	−	0.910267i	$-0.364124\pi$
$173$	−6.52709	−	6.52709i	−0.496245	−	0.496245i	−0.910267	+	0.414022i	$0.864124\pi$
$174$	−1.82821	−	7.26396i	−0.138596	−	0.550679i
$175$	−17.5444	+	14.4502i	−1.32624	+	1.09233i
$176$	−13.1470	+	2.67663i	−0.990991	+	0.201758i
$177$	−1.05632	−	3.25103i	−0.0793982	−	0.244362i
$178$	−4.88316	−	4.07906i	−0.366008	−	0.305738i
$179$	−17.6535	−	2.79605i	−1.31949	−	0.208986i	−0.543327	−	0.839521i	$-0.682835\pi$
$179$	−17.6535	−	2.79605i	−1.31949	−	0.208986i	−0.776161	+	0.630535i	$0.782835\pi$
$180$	−0.00769978	+	0.0287196i	−0.000573907	+	0.00214063i
$181$	3.82099	+	24.1248i	0.284012	+	1.79318i	0.556317	+	0.830970i	$0.312214\pi$
$181$	3.82099	+	24.1248i	0.284012	+	1.79318i	−0.272305	+	0.962211i	$0.587786\pi$
$182$	−13.8542	−	32.4385i	−1.02694	−	2.40450i
$183$	6.80789	+	2.21202i	0.503254	+	0.163517i
$184$	−5.81840	+	5.30935i	−0.428938	+	0.391411i
$185$	−6.59905	+	2.36774i	−0.485172	+	0.174080i
$186$	9.07305	+	2.07352i	0.665269	+	0.152038i
$187$	17.4274	+	8.87970i	1.27442	+	0.649348i
$188$	8.98445	+	4.33284i	0.655258	+	0.316005i
$189$	−22.4896	−	7.30731i	−1.63588	−	0.531528i
$190$	1.15181	+	0.226708i	0.0835610	+	0.0164472i
$191$	−12.4200	+	12.4200i	−0.898676	+	0.898676i	−0.995319	−	0.0966428i	$-0.969190\pi$
$191$	−12.4200	+	12.4200i	−0.898676	+	0.898676i	0.0966428	+	0.995319i	$0.469190\pi$
$192$	−10.4081	−	9.12393i	−0.751139	−	0.658463i
$193$	−3.84396	−	5.29076i	−0.276695	−	0.380837i	0.647941	−	0.761691i	$-0.275630\pi$
$193$	−3.84396	−	5.29076i	−0.276695	−	0.380837i	−0.924636	+	0.380853i	$0.875630\pi$
$194$	10.7534	−	17.9868i	0.772050	−	1.29138i
$195$	−14.5473	+	15.4578i	−1.04176	+	1.10695i
$196$	−26.8927	+	4.86487i	−1.92091	+	0.347490i
$197$	7.87304	−	1.24697i	0.560931	−	0.0888428i	0.130471	−	0.991452i	$-0.458351\pi$
$197$	7.87304	−	1.24697i	0.560931	−	0.0888428i	0.430460	+	0.902609i	$0.358351\pi$
$198$	0.0267088	−	0.0167719i	0.00189811	−	0.00119193i
$199$	−6.42371	+	12.6072i	−0.455365	+	0.893704i	0.543172	+	0.839622i	$0.317223\pi$
$199$	−6.42371	+	12.6072i	−0.455365	+	0.893704i	−0.998536	+	0.0540823i	$0.982777\pi$
$200$	11.3157	−	8.48268i	0.800138	−	0.599816i
$201$	13.8845	−	10.0877i	0.979338	−	0.711531i
$202$	17.2690	+	14.4254i	1.21505	+	1.01497i
$203$	12.3997	+	6.31796i	0.870288	+	0.443434i
$204$	3.59186	+	19.8556i	0.251480	+	1.39017i
$205$	1.55600	+	14.2330i	0.108676	+	0.994077i
$206$	3.32091	−	3.97556i	0.231379	−	0.276991i
$207$	0.00840590	−	0.0164975i	0.000584250	−	0.00114666i
$208$	7.68878	+	20.5562i	0.533121	+	1.42531i
$209$	−0.731877	−	1.00734i	−0.0506250	−	0.0696793i
$210$	13.8590	+	20.6517i	0.956362	+	1.42510i
$211$	10.0218	+	5.10637i	0.689930	+	0.351537i	0.763549	−	0.645750i	$-0.223455\pi$
$211$	10.0218	+	5.10637i	0.689930	+	0.351537i	−0.0736196	+	0.997286i	$0.523455\pi$
$212$	−7.48020	−	1.01750i	−0.513742	−	0.0698820i
$213$	1.66196	+	10.4932i	0.113876	+	0.718984i
$214$	−13.5516	+	16.2230i	−0.926368	+	1.10898i
$215$	5.27356	−	0.160015i	0.359654	−	0.0109129i
$216$	13.7707	+	5.18133i	0.936976	+	0.352545i
$217$	−13.9890	+	10.1636i	−0.949634	+	0.689949i
$218$	22.4118	+	8.99723i	1.51792	+	0.609370i
$219$	−2.30407	−	2.30407i	−0.155695	−	0.155695i
$220$	−14.9179	−	1.57008i	−1.00577	−	0.105855i
$221$	9.88701	−	30.4291i	0.665072	−	2.04688i
$222$	1.87242	+	7.43961i	0.125668	+	0.499314i
$223$	−0.274262	+	0.538270i	−0.0183660	+	0.0360452i	−0.900007	−	0.435875i	$-0.856439\pi$
$223$	−0.274262	+	0.538270i	−0.0183660	+	0.0360452i	0.881641	+	0.471920i	$0.156439\pi$
$224$	25.4872	−	3.41640i	1.70293	−	0.228268i
$225$	−0.0178735	+	0.0280297i	−0.00119156	+	0.00186865i
$226$	−14.1632	−	22.5545i	−0.942120	−	1.50030i
$227$	−1.35004	+	4.15500i	−0.0896054	+	0.275777i	−0.985810	−	0.167863i	$-0.946313\pi$
$227$	−1.35004	+	4.15500i	−0.0896054	+	0.275777i	0.896205	+	0.443640i	$0.146313\pi$
$228$	0.370113	−	1.23005i	0.0245113	−	0.0814621i
$229$	15.8132	−	2.50456i	1.04496	−	0.165506i	0.389727	−	0.920930i	$-0.372569\pi$
$229$	15.8132	−	2.50456i	1.04496	−	0.165506i	0.655236	+	0.755424i	$0.272569\pi$
$230$	−7.99012	+	3.70294i	−0.526853	+	0.244165i
$231$	4.12677	−	26.0554i	0.271521	−	1.71432i
$232$	−7.52741	−	4.27951i	−0.494199	−	0.280963i
$233$	25.5725	−	8.30902i	1.67531	−	0.544342i	0.691319	−	0.722550i	$-0.257030\pi$
$233$	25.5725	−	8.30902i	1.67531	−	0.544342i	0.983993	+	0.178208i	$0.0570299\pi$
$234$	−0.0339324	−	0.0388605i	−0.00221823	−	0.00254039i
$235$	8.12120	+	7.64287i	0.529768	+	0.498566i
$236$	−3.55926	−	1.71649i	−0.231688	−	0.111734i
$237$	9.31522	−	9.31522i	0.605088	−	0.605088i
$238$	−32.1764	−	19.2366i	−2.08568	−	1.24693i
$239$	−10.7221	−	21.0433i	−0.693556	−	1.36118i	−0.921834	−	0.387585i	$-0.873310\pi$
$239$	−10.7221	−	21.0433i	−0.693556	−	1.36118i	0.228278	−	0.973596i	$-0.426690\pi$
$240$	−8.02690	−	13.2302i	−0.518134	−	0.854003i
$241$	5.83821	+	8.03560i	0.376072	+	0.517619i	0.954539	−	0.298087i	$-0.0963487\pi$
$241$	5.83821	+	8.03560i	0.376072	+	0.517619i	−0.578467	+	0.815706i	$0.696349\pi$
$242$	0.232977	+	0.266814i	0.0149764	+	0.0171514i
$243$	−0.0690951			−0.00443245
$244$	7.28893	−	3.91712i	0.466626	−	0.250768i
$245$	−30.3099	−	3.86236i	−1.93643	−	0.246757i
$246$	15.6661	−	0.171694i	0.998831	−	0.0109468i
$247$	−1.44024	+	1.44024i	−0.0916403	+	0.0916403i
$248$	8.98386	−	5.91944i	0.570476	−	0.375885i
$249$	11.1469	+	11.1469i	0.706409	+	0.706409i
$250$	14.9191	−	5.23654i	0.943565	−	0.331188i
$251$	−2.22455	+	1.61623i	−0.140412	+	0.102016i	−0.655774	−	0.754957i	$-0.727658\pi$
$251$	−2.22455	+	1.61623i	−0.140412	+	0.102016i	0.515362	+	0.856973i	$0.327658\pi$
$252$	−0.0532459	+	0.0286147i	−0.00335417	+	0.00180255i
$253$	8.88368	+	2.88648i	0.558512	+	0.181472i
$254$	−28.9443	+	7.28478i	−1.81613	+	0.457088i
$255$	−2.85168	+	22.3786i	−0.178579	+	1.40140i
$256$	−15.9387	+	1.39878i	−0.996171	+	0.0874239i
$257$	−8.83581	−	6.41959i	−0.551163	−	0.400443i	0.277051	−	0.960855i	$-0.410643\pi$
$257$	−8.83581	−	6.41959i	−0.551163	−	0.400443i	−0.828214	+	0.560412i	$0.810643\pi$
$258$	0.389955	−	5.75996i	0.0242775	−	0.358599i
$259$	−12.6995	−	6.47073i	−0.789110	−	0.402072i
$260$	1.28071	+	24.5041i	0.0794260	+	1.51968i
$261$	0.0201035	+	0.00318409i	0.00124438	+	0.000197090i
$262$	5.58607	−	24.4429i	0.345109	−	1.51008i
$263$	1.46151	−	2.01160i	0.0901205	−	0.124040i	−0.761576	−	0.648076i	$-0.775574\pi$
$263$	1.46151	−	2.01160i	0.0901205	−	0.124040i	0.851696	+	0.524035i	$0.175574\pi$
$264$	−3.30584	+	16.0774i	−0.203461	+	0.989498i
$265$	−7.63297	−	3.60190i	−0.468889	−	0.221263i
$266$	1.26914	+	2.02107i	0.0778157	+	0.123919i
$267$	−6.93563	+	3.53388i	−0.424454	+	0.216270i
$268$	2.67401	−	19.6582i	0.163341	−	1.20081i
$269$	−4.96767	+	1.61409i	−0.302884	+	0.0984130i	−0.456516	−	0.889715i	$-0.650903\pi$
$269$	−4.96767	+	1.61409i	−0.302884	+	0.0984130i	0.153632	+	0.988128i	$0.450903\pi$
$270$	12.9387	+	10.1581i	0.787426	+	0.618200i
$271$	23.1925	+	7.53571i	1.40885	+	0.457762i	0.912041	−	0.410100i	$-0.134506\pi$
$271$	23.1925	+	7.53571i	1.40885	+	0.457762i	0.496806	+	0.867862i	$0.334506\pi$
$272$	19.4523	+	12.8715i	1.17947	+	0.780446i
$273$	−43.1527			−2.61172
$274$	−8.02591	+	3.42780i	−0.484863	+	0.207081i
$275$	−15.3771	−	6.69382i	−0.927273	−	0.403652i
$276$	3.17761	+	9.09731i	0.191270	+	0.547594i
$277$	0.470196	+	2.96870i	0.0282514	+	0.178372i	0.997779	−	0.0666094i	$-0.0212181\pi$
$277$	0.470196	+	2.96870i	0.0282514	+	0.178372i	−0.969528	+	0.244981i	$0.921218\pi$
$278$	19.0350	−	1.70784i	1.14164	−	0.102430i
$279$	−0.0148652	+	0.0204601i	−0.000889954	+	0.00122492i
$280$	28.3239	+	4.93375i	1.69268	+	0.294848i
$281$	4.24760	−	8.33639i	0.253391	−	0.497308i	−0.728912	−	0.684608i	$-0.759974\pi$
$281$	4.24760	−	8.33639i	0.253391	−	0.497308i	0.982303	+	0.187300i	$0.0599736\pi$
$282$	9.19186	−	8.02618i	0.547367	−	0.477952i
$283$	−9.01667	−	1.42810i	−0.535985	−	0.0848917i	−0.117427	−	0.993082i	$-0.537465\pi$
$283$	−9.01667	−	1.42810i	−0.535985	−	0.0848917i	−0.418559	+	0.908190i	$0.637465\pi$
$284$	10.0913	+	6.99955i	0.598806	+	0.415347i
$285$	0.808518	−	1.18693i	0.0478924	−	0.0703078i
$286$	16.6853	−	19.9745i	0.986624	−	1.18112i
$287$	−18.9035	+	22.1339i	−1.11584	+	1.30652i
$288$	0.0339087	−	0.0162715i	0.00199809	−	0.000958810i
$289$	−5.25459	−	16.1720i	−0.309094	−	0.951292i
$290$	−6.58566	−	7.09572i	−0.386723	−	0.416675i
$291$	−15.0694	−	20.7412i	−0.883382	−	1.21587i
$292$	−3.76581	+	0.0824239i	−0.220377	+	0.00482349i
$293$	−5.21729	−	16.0572i	−0.304797	−	0.938069i	−0.979753	−	0.200211i	$-0.935837\pi$
$293$	−5.21729	−	16.0572i	−0.304797	−	0.938069i	0.674956	−	0.737858i	$-0.264163\pi$
$294$	−7.44887	+	32.5939i	−0.434427	+	1.90091i
$295$	−3.21727	−	3.02778i	−0.187317	−	0.176284i
$296$	7.70943	+	4.38299i	0.448102	+	0.254756i
$297$	−2.72948	−	17.2332i	−0.158380	−	0.999974i
$298$	−21.0304	+	5.29297i	−1.21826	+	0.306614i
$299$	2.39029	−	15.0917i	0.138234	−	0.872774i
$300$	−4.10636	−	16.8069i	−0.237081	−	0.970349i
$301$	7.58433	+	7.58433i	0.437154	+	0.437154i
$302$	9.85921	+	0.667478i	0.567334	+	0.0384091i
$303$	24.5275	−	12.4974i	1.40907	−	0.717956i
$304$	−0.731368	−	1.29228i	−0.0419468	−	0.0741175i
$305$	9.08951	−	1.72372i	0.520464	−	0.0987000i
$306$	−0.0534518	−	0.0122157i	−0.00305564	−	0.000698323i
$307$	−7.20162	+	3.66941i	−0.411018	+	0.209424i	−0.647259	−	0.762270i	$-0.724085\pi$
$307$	−7.20162	+	3.66941i	−0.411018	+	0.209424i	0.236241	+	0.971695i	$0.424085\pi$
$308$	−18.4601	−	24.2728i	−1.05186	−	1.38307i
$309$	−2.87707	−	5.64656i	−0.163671	−	0.321222i
$310$	11.5704	−	3.28826i	0.657155	−	0.186761i
$311$	19.1762	−	3.03721i	1.08738	−	0.172225i	0.413091	−	0.910690i	$-0.364449\pi$
$311$	19.1762	−	3.03721i	1.08738	−	0.172225i	0.674292	+	0.738465i	$0.264449\pi$
$312$	26.8217	+	1.22698i	1.51848	+	0.0694640i
$313$	−9.81741	+	7.13276i	−0.554913	+	0.403168i	−0.829593	−	0.558368i	$-0.811428\pi$
$313$	−9.81741	+	7.13276i	−0.554913	+	0.403168i	0.274681	+	0.961535i	$0.411428\pi$
$314$	−7.77529	+	0.697609i	−0.438785	+	0.0393684i
$315$	−0.0663992	+	0.0125918i	−0.00374117	+	0.000709470i
$316$	−0.333234	−	15.2249i	−0.0187459	−	0.856469i
$317$	−17.9031	−	13.0073i	−1.00554	−	0.730566i	−0.0422689	−	0.999106i	$-0.513459\pi$
$317$	−17.9031	−	13.0073i	−1.00554	−	0.730566i	−0.963268	+	0.268541i	$0.913459\pi$
$318$	−4.73906	+	7.92684i	−0.265753	+	0.444515i
$319$			10.2684i			0.574919i
$320$	−17.4645	−	3.87193i	−0.976294	−	0.216447i
$321$	11.7404	+	23.0418i	0.655285	+	1.28607i
$322$	−16.6143	−	6.66986i	−0.925881	−	0.371696i
$323$	−0.338636	+	2.13806i	−0.0188422	+	0.118965i
$324$	12.4187	−	12.9745i	0.689929	−	0.720806i
$325$	−6.88002	+	26.5571i	−0.381635	+	1.47312i
$326$	−7.89433	+	19.6645i	−0.437227	+	1.08911i
$327$	20.8916	−	20.8916i	1.15531	−	1.15531i
$328$	12.3788	−	13.2199i	0.683506	−	0.729945i
$329$			22.6716i			1.24992i
$330$	−8.93465	+	16.0293i	−0.491836	+	0.882383i
$331$	22.7143	+	22.7143i	1.24849	+	1.24849i	0.956385	+	0.292108i	$0.0943565\pi$
$331$	22.7143	+	22.7143i	1.24849	+	1.24849i	0.292108	+	0.956385i	$0.405643\pi$
$332$	18.2187	−	0.398761i	0.999883	−	0.0218848i
$333$	−0.0205897	−	0.00326108i	−0.00112831	−	0.000178706i
$334$	21.3867	−	9.13407i	1.17023	−	0.499794i
$335$	9.46589	−	20.0597i	0.517177	−	1.09598i
$336$	8.40312	−	30.3165i	0.458428	−	1.65390i
$337$	−6.24735	+	6.24735i	−0.340315	+	0.340315i	−0.856486	−	0.516171i	$-0.827357\pi$
$337$	−6.24735	+	6.24735i	−0.340315	+	0.340315i	0.516171	+	0.856486i	$0.327357\pi$
$338$	−20.7620	−	12.4125i	−1.12930	−	0.675153i
$339$	−32.1809	+	5.09696i	−1.74783	+	0.276829i
$340$	16.4088	+	20.2691i	0.889892	+	1.09925i
$341$	−11.3679	−	5.79224i	−0.615607	−	0.313668i
$342$	0.00267883	+	0.00223771i	0.000144854	+	0.000121001i
$343$	−17.8076	−	24.5101i	−0.961523	−	1.32342i
$344$	−4.49841	−	4.92970i	−0.242538	−	0.265792i
$345$	0.326754	+	10.7688i	0.0175919	+	0.579770i
$346$	−4.86336	+	12.1144i	−0.261456	+	0.651276i
$347$	3.20117	−	9.85220i	0.171848	−	0.528894i	−0.827627	−	0.561278i	$-0.810310\pi$
$347$	3.20117	−	9.85220i	0.171848	−	0.528894i	0.999476	+	0.0323839i	$0.0103099\pi$
$348$	−8.43174	+	6.41254i	−0.451989	+	0.343748i
$349$	9.16956	−	28.2210i	0.490835	−	1.51064i	−0.332512	−	0.943099i	$-0.607896\pi$
$349$	9.16956	−	28.2210i	0.490835	−	1.51064i	0.823348	−	0.567537i	$-0.192104\pi$
$350$	28.5386	+	14.7912i	1.52545	+	0.790622i
$351$	−27.1446	+	8.81982i	−1.44887	+	0.470767i
$352$	10.7837	+	15.6117i	0.574775	+	0.832108i
$353$	1.60866	+	3.15716i	0.0856201	+	0.168039i	0.929846	−	0.367948i	$-0.119940\pi$
$353$	1.60866	+	3.15716i	0.0856201	+	0.168039i	−0.844226	+	0.535987i	$0.819940\pi$
$354$	−3.64143	+	3.17963i	−0.193540	+	0.168996i
$355$	8.40394	+	10.8585i	0.446035	+	0.576312i
$356$	−2.59267	+	8.61661i	−0.137411	+	0.456679i
$357$	−37.1036	+	26.9574i	−1.96373	+	1.42673i
$358$	6.16940	+	24.5126i	0.326063	+	1.29553i
$359$	−1.28820	−	0.935930i	−0.0679884	−	0.0493965i	0.553272	−	0.833001i	$-0.313379\pi$
$359$	−1.28820	−	0.935930i	−0.0679884	−	0.0493965i	−0.621260	+	0.783604i	$0.713379\pi$
$360$	0.0416286	−	0.00593853i	0.00219402	−	0.000312988i
$361$	−11.0869	+	15.2598i	−0.583522	+	0.803149i
$362$	29.2534	−	18.3698i	1.53752	−	0.965495i
$363$	0.412132	−	0.133910i	0.0216313	−	0.00702845i
$364$	−34.4929	+	36.0366i	−1.80792	+	1.88883i
$365$	−4.04282	−	1.17930i	−0.211611	−	0.0617272i
$366$	−0.904641	−	10.0828i	−0.0472863	−	0.527035i
$367$	10.9496	−	21.4899i	0.571566	−	1.12176i	−0.406536	−	0.913635i	$-0.633263\pi$
$367$	10.9496	−	21.4899i	0.571566	−	1.12176i	0.978102	−	0.208126i	$-0.0667366\pi$
$368$	10.1370	+	4.61806i	0.528429	+	0.240733i
$369$	−0.0162911	+	0.0393320i	−0.000848079	+	0.00204754i
$370$	6.74490	+	7.26730i	0.350651	+	0.377809i
$371$	−5.30225	−	16.3186i	−0.275279	−	0.847222i
$372$	−2.34297	−	12.9518i	−0.121478	−	0.671521i
$373$	−2.48085	+	15.6635i	−0.128453	+	0.811023i	0.836378	+	0.548153i	$0.184669\pi$
$373$	−2.48085	+	15.6635i	−0.128453	+	0.811023i	−0.964831	+	0.262870i	$0.915331\pi$
$374$	1.86840	−	27.5977i	0.0966124	−	1.42705i
$375$	1.27727	−	19.3012i	0.0659578	−	0.996711i
$376$	0.644630	−	14.0916i	0.0332442	−	0.726717i
$377$	16.5902	−	2.62763i	0.854440	−	0.135330i
$378$	2.98844	+	33.3080i	0.153709	+	1.71318i
$379$	4.04407	+	2.93819i	0.207730	+	0.150924i	0.686786	−	0.726860i	$-0.259021\pi$
$379$	4.04407	+	2.93819i	0.207730	+	0.150924i	−0.479056	+	0.877784i	$0.659021\pi$
$380$	−0.344935	−	1.62393i	−0.0176948	−	0.0833057i
$381$	−5.71211	+	36.0649i	−0.292640	+	1.84766i
$382$	23.0517	+	9.25415i	1.17943	+	0.473483i
$383$		−	22.8153i		−	1.16581i	−0.812542	−	0.582903i	$-0.801917\pi$
$383$		−	22.8153i		−	1.16581i	0.812542	−	0.582903i	$-0.198083\pi$
$384$	−6.08498	+	18.6044i	−0.310523	+	0.949400i
$385$	−11.5144	−	32.0913i	−0.586826	−	1.63552i
$386$	−4.74580	+	7.93812i	−0.241555	+	0.404040i
$387$	0.0139777	+	0.00712199i	0.000710526	+	0.000362031i
$388$	−29.3661	−	3.99454i	−1.49084	−	0.202792i
$389$	−3.92738	+	12.0872i	−0.199126	+	0.612847i	0.800777	+	0.598962i	$0.204420\pi$
$389$	−3.92738	+	12.0872i	−0.199126	+	0.612847i	−0.999904	+	0.0138854i	$0.995580\pi$
$390$	28.1843	+	10.3336i	1.42717	+	0.523260i
$391$	−7.37249	−	14.4693i	−0.372843	−	0.731746i
$392$	21.2649	+	32.2734i	1.07404	+	1.63006i
$393$	−24.8158	−	18.0297i	−1.25179	−	0.909480i
$394$	−5.99492	−	9.54675i	−0.302020	−	0.480958i
$395$	4.76781	−	16.3449i	0.239895	−	0.822399i
$396$	−0.0366486	−	0.0254204i	−0.00184166	−	0.00127742i
$397$	2.83829	+	8.73535i	0.142450	+	0.438415i	0.996674	−	0.0814895i	$-0.0259677\pi$
$397$	2.83829	+	8.73535i	0.142450	+	0.438415i	−0.854225	+	0.519904i	$0.825968\pi$
$398$	19.9646	+	1.35163i	1.00074	+	0.0677509i
$399$	2.88367	−	0.456729i	0.144364	−	0.0228651i
$400$	−17.3177	−	10.0049i	−0.865883	−	0.500247i
$401$		−	31.0429i		−	1.55021i	−0.631833	−	0.775105i	$-0.717697\pi$
$401$		−	31.0429i		−	1.55021i	0.631833	−	0.775105i	$-0.282303\pi$
$402$	−20.8320	−	12.4544i	−1.03900	−	0.621168i
$403$	−6.44931	+	19.8489i	−0.321263	+	0.988746i
$404$	9.16885	−	30.4722i	0.456167	−	1.51605i
$405$	17.6066	−	9.65452i	0.874880	−	0.479737i
$406$	1.32937	−	19.6360i	0.0659757	−	0.974516i
$407$		−	10.5167i		−	0.521292i
$408$	23.8283	−	15.7004i	1.17968	−	0.777287i
$409$		−	10.9610i		−	0.541985i	−0.962582	−	0.270992i	$-0.912648\pi$
$409$		−	10.9610i		−	0.541985i	0.962582	−	0.270992i	$-0.0873518\pi$
$410$	17.6466	−	9.92954i	0.871506	−	0.490385i
$411$			10.6768i			0.526649i
$412$	−7.01511	−	2.11079i	−0.345609	−	0.103991i
$413$		−	8.98151i		−	0.441951i
$414$	−0.0261252	−	0.00176870i	−0.00128398	−	8.69269e-5i
$415$	19.5589	+	5.70535i	0.960108	+	0.280065i
$416$	22.4638	−	21.4179i	1.10138	−	1.05010i
$417$	7.22503	−	22.2364i	0.353811	−	1.08892i
$418$	−0.903584	+	1.51139i	−0.0441957	+	0.0739245i
$419$		−	7.32461i		−	0.357831i	−0.983864	−	0.178915i	$-0.942741\pi$
$419$		−	7.32461i		−	0.357831i	0.983864	−	0.178915i	$-0.0572588\pi$
$420$	19.1607	−	29.4957i	0.934946	−	1.43924i
$421$	22.4897	−	3.56201i	1.09608	−	0.173602i	0.417896	−	0.908495i	$-0.362768\pi$
$421$	22.4897	−	3.56201i	1.09608	−	0.173602i	0.678183	+	0.734893i	$0.262768\pi$
$422$	1.07444	−	15.8704i	0.0523029	−	0.772558i
$423$	0.0102468	+	0.0315363i	0.000498214	+	0.00153335i
$424$	2.83163	+	10.2936i	0.137516	+	0.499904i
$425$	10.6745	+	27.1323i	0.517791	+	1.31611i
$426$	12.7239	−	7.99005i	0.616477	−	0.387119i
$427$	15.2159	+	11.0550i	0.736351	+	0.534990i
$428$	28.6264	+	8.61348i	1.38371	+	0.416348i
$429$	−14.4553	−	28.3701i	−0.697908	−	1.36972i
$430$	−3.13736	−	6.76972i	−0.151297	−	0.326465i
$431$	−0.738065	+	2.27153i	−0.0355513	+	0.109416i	−0.967257	−	0.253797i	$-0.918320\pi$
$431$	−0.738065	+	2.27153i	−0.0355513	+	0.109416i	0.931706	+	0.363213i	$0.118320\pi$
$432$	−0.910412	−	20.7877i	−0.0438022	−	1.00015i
$433$	−11.3807	−	5.79877i	−0.546923	−	0.278671i	0.158618	−	0.987340i	$-0.449296\pi$
$433$	−11.3807	−	5.79877i	−0.546923	−	0.278671i	−0.705541	+	0.708669i	$0.749296\pi$
$434$	20.9887	+	12.5481i	1.00749	+	0.602327i
$435$	−11.1477	+	3.99978i	−0.534490	+	0.191775i
$436$	−0.747357	−	34.1455i	−0.0357919	−	1.63527i
$437$			1.03380i			0.0494532i
$438$	−1.71677	+	4.27641i	−0.0820306	+	0.204335i
$439$	4.05470	−	25.6004i	0.193520	−	1.22184i	−0.679324	−	0.733839i	$-0.737727\pi$
$439$	4.05470	−	25.6004i	0.193520	−	1.22184i	0.872844	−	0.488000i	$-0.162273\pi$
$440$	6.24431	+	20.2738i	0.297686	+	0.966516i
$441$	−0.0735006	−	0.0534013i	−0.00350003	−	0.00254292i
$442$	−45.0668	+	4.04345i	−2.14361	+	0.192327i
$443$	−1.50715	+	0.238709i	−0.0716069	+	0.0113414i	−0.192135	−	0.981368i	$-0.561541\pi$
$443$	−1.50715	+	0.238709i	−0.0716069	+	0.0113414i	0.120528	+	0.992710i	$0.461541\pi$
$444$	8.63563	−	6.56760i	0.409829	−	0.311685i
$445$	−5.66374	+	8.31456i	−0.268487	+	0.394148i
$446$	0.852396	+	0.0577080i	0.0403621	+	0.00273255i
$447$	−4.15030	+	26.2040i	−0.196303	+	1.23941i
$448$	−18.6003	−	31.2500i	−0.878783	−	1.47642i
$449$	−11.9737	−	36.8514i	−0.565075	−	1.73912i	−0.667728	−	0.744406i	$-0.732733\pi$
$449$	−11.9737	−	36.8514i	−0.565075	−	1.73912i	0.102652	−	0.994717i	$-0.467267\pi$
$450$	0.0463824	+	0.00767616i	0.00218649	+	0.000361857i
$451$	−20.8838	−	5.01339i	−0.983382	−	0.236071i
$452$	−21.4664	+	30.9482i	−1.00970	+	1.45568i
$453$	5.48840	−	10.7716i	0.257867	−	0.506093i
$454$	6.15373	−	0.552121i	0.288809	−	0.0259123i
$455$	−48.9022	+	26.8153i	−2.29257	+	1.25712i
$456$	−1.80534	+	0.201888i	−0.0845428	+	0.00945429i
$457$	29.9247	−	9.72311i	1.39982	−	0.454828i	0.490685	−	0.871337i	$-0.336747\pi$
$457$	29.9247	−	9.72311i	1.39982	−	0.454828i	0.909131	+	0.416509i	$0.136747\pi$
$458$	−12.0409	−	19.1748i	−0.562635	−	0.895981i
$459$	−17.8298	+	24.5406i	−0.832224	+	1.14546i
$460$	9.25410	+	8.33481i	0.431475	+	0.388613i
$461$	17.1200	+	12.4384i	0.797356	+	0.579313i	0.910137	−	0.414307i	$-0.135976\pi$
$461$	17.1200	+	12.4384i	0.797356	+	0.579313i	−0.112781	+	0.993620i	$0.535976\pi$
$462$	−36.1789	+	9.10560i	−1.68320	+	0.423631i
$463$	24.7162	−	17.9574i	1.14866	−	0.834550i	0.160357	−	0.987059i	$-0.448735\pi$
$463$	24.7162	−	17.9574i	1.14866	−	0.834550i	0.988302	+	0.152509i	$0.0487354\pi$
$464$	−1.38459	+	12.1670i	−0.0642781	+	0.564837i
$465$	1.86016	−	14.5976i	0.0862628	−	0.676947i
$466$	−25.0109	−	28.6434i	−1.15861	−	1.32688i
$467$	6.55847	+	12.8717i	0.303490	+	0.595632i	0.991506	−	0.130063i	$-0.0415181\pi$
$467$	6.55847	+	12.8717i	0.303490	+	0.595632i	−0.688016	+	0.725696i	$0.741518\pi$
$468$	−0.0316925	+	0.0657167i	−0.00146499	+	0.00303775i
$469$	42.8859	−	13.9345i	1.98029	−	0.643434i
$470$	5.42904	−	14.8074i	0.250423	−	0.683016i
$471$	−2.95123	+	9.08296i	−0.135986	+	0.418521i
$472$	−0.255375	+	5.58248i	−0.0117546	+	0.256954i
$473$	−2.44561	+	7.52680i	−0.112449	+	0.346083i
$474$	−17.2893	−	6.94080i	−0.794122	−	0.318801i
$475$	0.178675	−	1.84749i	0.00819819	−	0.0847687i
$476$	−7.14577	+	52.5326i	−0.327526	+	2.40783i
$477$	−0.0147509	−	0.0203029i	−0.000675398	−	0.000929606i
$478$	−21.4125	+	25.6335i	−0.979384	+	1.17245i
$479$	8.81985	+	4.49394i	0.402989	+	0.205333i	0.643724	−	0.765258i	$-0.277388\pi$
$479$	8.81985	+	4.49394i	0.402989	+	0.205333i	−0.240735	+	0.970591i	$0.577388\pi$
$480$	−12.7480	+	17.7883i	−0.581866	+	0.811921i
$481$	−16.9914	+	2.69117i	−0.774741	+	0.122707i
$482$	7.20792	−	12.0564i	0.328312	−	0.549155i
$483$	−15.4874	+	15.4874i	−0.704701	+	0.704701i
$484$	0.217599	−	0.451206i	0.00989084	−	0.0205094i
$485$	−29.9658	−	14.1405i	−1.36068	−	0.642087i
$486$	0.0383795	+	0.0898625i	0.00174093	+	0.00407625i
$487$	18.8943	+	2.99256i	0.856181	+	0.135606i	0.569068	−	0.822291i	$-0.307304\pi$
$487$	18.8943	+	2.99256i	0.856181	+	0.135606i	0.287114	+	0.957897i	$0.407304\pi$
$488$	−9.14316	−	7.30391i	−0.413892	−	0.330633i
$489$	18.3307	+	18.3307i	0.828941	+	0.828941i
$490$	11.8127	+	41.5653i	0.533642	+	1.87773i
$491$		−	21.2787i		−	0.960295i	−0.877188	−	0.480147i	$-0.840583\pi$
$491$		−	21.2787i		−	0.960295i	0.877188	−	0.480147i	$-0.159417\pi$
$492$	−8.92516	−	20.2793i	−0.402377	−	0.914263i
$493$	12.6232	−	12.6232i	0.568518	−	0.568518i
$494$	2.67312	+	1.07313i	0.120269	+	0.0482823i
$495$	−0.0305207	−	0.0394351i	−0.00137180	−	0.00177248i
$496$	−12.6888	−	8.39607i	−0.569743	−	0.376995i
$497$	−4.36673	+	27.5704i	−0.195875	+	1.23670i
$498$	8.30563	−	20.6890i	0.372184	−	0.927096i
$499$	2.89370	+	5.67921i	0.129540	+	0.254236i	0.946662	−	0.322228i	$-0.104432\pi$
$499$	2.89370	+	5.67921i	0.129540	+	0.254236i	−0.817122	+	0.576465i	$0.804432\pi$
$500$	−15.0974	−	16.4945i	−0.675176	−	0.737657i
$501$		−	28.4505i		−	1.27108i
$502$	3.33766	+	1.99542i	0.148967	+	0.0890598i
$503$	20.3485	+	14.7841i	0.907295	+	0.659189i	0.940329	−	0.340266i	$-0.110517\pi$
$503$	20.3485	+	14.7841i	0.907295	+	0.659189i	−0.0330341	+	0.999454i	$0.510517\pi$
$504$	0.0667911	+	0.0533553i	0.00297511	+	0.00237664i
$505$	20.0295	−	29.4040i	0.891302	−	1.30846i
$506$	−1.18047	−	13.1571i	−0.0524785	−	0.584905i
$507$	−23.9413	+	17.3944i	−1.06327	+	0.772512i
$508$	25.5517	+	33.5975i	1.13367	+	1.49065i
$509$	1.77379	−	0.280940i	0.0786217	−	0.0124525i	−0.117000	−	0.993132i	$-0.537328\pi$
$509$	1.77379	−	0.280940i	0.0786217	−	0.0124525i	0.195621	+	0.980679i	$0.437328\pi$
$510$	30.6887	−	8.72160i	1.35892	−	0.386199i
$511$	−3.88681	−	7.62829i	−0.171942	−	0.337456i
$512$	10.6725	+	19.9524i	0.471664	+	0.881778i
$513$	1.72059	−	0.876682i	0.0759657	−	0.0387065i
$514$	−3.44115	+	15.0574i	−0.151783	+	0.664152i
$515$	−6.76920	−	4.61106i	−0.298287	−	0.203188i
$516$	−7.70780	+	2.69227i	−0.339317	+	0.118520i
$517$	−14.9051	+	7.59452i	−0.655525	+	0.334006i
$518$	−1.36152	+	20.1108i	−0.0598217	+	0.883616i
$519$	11.2927	+	11.2927i	0.495695	+	0.495695i
$520$	31.1577	−	15.2767i	1.36636	−	0.669927i
$521$	−2.24203	+	14.1556i	−0.0982253	+	0.620170i	0.888638	+	0.458610i	$0.151653\pi$
$521$	−2.24203	+	14.1556i	−0.0982253	+	0.620170i	−0.986863	+	0.161560i	$0.948347\pi$
$522$	−0.00702560	−	0.0279146i	−0.000307502	−	0.00122179i
$523$	4.33593	+	27.3760i	0.189597	+	1.19707i	0.880473	+	0.474095i	$0.157225\pi$
$523$	4.33593	+	27.3760i	0.189597	+	1.19707i	−0.690876	+	0.722973i	$0.742775\pi$
$524$	−34.8923	+	6.31198i	−1.52428	+	0.275740i
$525$	30.3542	−	25.0007i	1.32477	−	1.09112i
$526$	−3.42802	−	0.783425i	−0.149469	−	0.0341590i
$527$	6.85431	+	21.0954i	0.298578	+	0.918929i
$528$	22.7460	−	4.63091i	0.989892	−	0.201535i
$529$	8.96057	+	12.3332i	0.389590	+	0.536224i
$530$	−0.444690	+	11.9279i	−0.0193161	+	0.518113i
$531$	−0.00405933	−	0.0124933i	−0.000176160	−	0.000542165i
$532$	1.92357	−	2.77321i	0.0833973	−	0.120234i
$533$	−2.75585	+	35.0242i	−0.119369	+	1.51706i
$534$	8.44850	+	7.05730i	0.365602	+	0.305399i
$535$	27.6230	+	18.8163i	1.19424	+	0.813499i
$536$	−27.0520	+	7.44160i	−1.16847	+	0.321428i
$537$	30.5429	+	4.83752i	1.31802	+	0.208755i
$538$	4.85857	+	5.56420i	0.209468	+	0.239890i
$539$	20.8079	−	40.8379i	0.896261	−	1.75901i
$540$	6.02426	−	22.4700i	0.259243	−	0.966956i
$541$	−22.8867	+	31.5009i	−0.983977	+	1.35433i	−0.0493179	+	0.998783i	$0.515705\pi$
$541$	−22.8867	+	31.5009i	−0.983977	+	1.35433i	−0.934659	+	0.355545i	$0.884295\pi$
$542$	−3.08185	−	34.3491i	−0.132377	−	1.47542i
$543$	−6.61081	−	41.7390i	−0.283697	−	1.79119i
$544$	5.93515	−	32.4486i	0.254467	−	1.39122i
$545$	10.6930	−	36.6572i	0.458036	−	1.57022i
$546$	23.9696	+	56.1229i	1.02580	+	2.40184i
$547$	28.3024			1.21012			0.605061	−	0.796179i	$-0.293149\pi$
$547$	28.3024			1.21012			0.605061	+	0.796179i	$0.293149\pi$
$548$	8.91614	+	8.53420i	0.380879	+	0.364563i
$549$	0.0261619	+	0.00850053i	0.00111656	+	0.000362794i
$550$	−0.164381	+	23.7170i	−0.00700923	+	1.01130i
$551$	−1.08083	+	0.351182i	−0.0460448	+	0.0149609i
$552$	10.0666	−	9.18587i	0.428463	−	0.390977i
$553$	30.8407	−	15.7141i	1.31148	−	0.668231i
$554$	3.59981	−	2.26052i	0.152941	−	0.0960401i
$555$	11.4172	−	4.09650i	0.484634	−	0.173887i
$556$	−12.7943	−	23.8076i	−0.542600	−	1.00967i
$557$	−20.7164	+	28.5137i	−0.877783	+	1.20816i	0.0992469	+	0.995063i	$0.468357\pi$
$557$	−20.7164	+	28.5137i	−0.877783	+	1.20816i	−0.977030	+	0.213102i	$0.931643\pi$
$558$	0.0348667	+	0.00796829i	0.00147602	+	0.000337325i
$559$	12.7866	+	2.02520i	0.540815	+	0.0856567i
$560$	−9.31612	−	39.5775i	−0.393678	−	1.67245i
$561$	−30.1517	−	15.3630i	−1.27300	−	0.648628i
$562$	−13.2014	−	0.893747i	−0.556867	−	0.0377004i
$563$	−0.126411	−	0.0918430i	−0.00532759	−	0.00387072i	0.585118	−	0.810948i	$-0.301048\pi$
$563$	−0.126411	−	0.0918430i	−0.00532759	−	0.00387072i	−0.590446	+	0.807077i	$0.701048\pi$
$564$	−15.5443	−	7.49638i	−0.654532	−	0.315654i
$565$	−33.3013	+	25.7735i	−1.40100	+	1.08430i
$566$	3.15106	+	12.5200i	0.132449	+	0.526255i
$567$	38.8237	+	12.6146i	1.63044	+	0.529762i
$568$	3.49807	−	17.0123i	0.146776	−	0.713820i
$569$	14.2950	−	10.3859i	0.599276	−	0.435399i	−0.246346	−	0.969182i	$-0.579230\pi$
$569$	14.2950	−	10.3859i	0.599276	−	0.435399i	0.845622	+	0.533783i	$0.179230\pi$
$570$	−1.99278	−	0.392235i	−0.0834683	−	0.0164289i
$571$	−32.4481	−	32.4481i	−1.35791	−	1.35791i	−0.876490	−	0.481419i	$-0.840121\pi$
$571$	−32.4481	−	32.4481i	−1.35791	−	1.35791i	−0.481419	−	0.876490i	$-0.659879\pi$
$572$	−35.2461	−	10.6053i	−1.47371	−	0.443429i
$573$	21.4881	−	21.4881i	0.897680	−	0.897680i
$574$	39.2866	+	12.2907i	1.63979	+	0.513002i
$575$	7.06205	+	12.0005i	0.294508	+	0.500455i
$576$	−0.0399971	−	0.0350622i	−0.00166654	−	0.00146093i
$577$	28.6405			1.19232			0.596160	−	0.802865i	$-0.296692\pi$
$577$	28.6405			1.19232			0.596160	+	0.802865i	$0.296692\pi$
$578$	−18.1139	+	15.8168i	−0.753441	+	0.657892i
$579$	6.65056	+	9.15371i	0.276388	+	0.380415i
$580$	−5.57037	+	12.5065i	−0.231297	+	0.519302i
$581$	18.8041	+	36.9051i	0.780125	+	1.53108i
$582$	−18.6048	+	31.1196i	−0.771194	+	1.28995i
$583$	8.95230	−	8.95230i	0.370766	−	0.370766i
$584$	2.19895	+	4.85189i	0.0909934	+	0.200773i
$585$	−0.0559037	+	0.0594024i	−0.00231133	+	0.00245599i
$586$	−17.9854	+	15.7045i	−0.742968	+	0.648748i
$587$	−7.90947	+	2.56994i	−0.326459	+	0.106073i	−0.467661	−	0.883908i	$-0.654903\pi$
$587$	−7.90947	+	2.56994i	−0.326459	+	0.106073i	0.141202	+	0.989981i	$0.454903\pi$
$588$	46.5279	−	8.41685i	1.91878	−	0.347105i
$589$	0.220893	−	1.39466i	0.00910172	−	0.0574660i
$590$	−2.15075	+	5.86608i	−0.0885451	+	0.241503i
$591$	−13.6214	+	2.15742i	−0.560309	+	0.0887442i
$592$	1.41807	−	12.4612i	0.0582824	−	0.512151i
$593$	−4.48128	+	13.7920i	−0.184024	+	0.566368i	−0.999930	−	0.0118162i	$-0.996239\pi$
$593$	−4.48128	+	13.7920i	−0.184024	+	0.566368i	0.815906	+	0.578185i	$0.196239\pi$
$594$	−20.8968	+	13.1222i	−0.857406	+	0.538411i
$595$	−25.2957	+	53.6055i	−1.03702	+	2.19761i
$596$	18.5654	+	24.4113i	0.760467	+	0.999925i
$597$	11.1139	−	21.8122i	0.454860	−	0.892713i
$598$	−20.9554	+	5.27410i	−0.856929	+	0.215674i
$599$	−11.5083	+	35.4190i	−0.470218	+	1.44718i	0.382083	+	0.924128i	$0.375207\pi$
$599$	−11.5083	+	35.4190i	−0.470218	+	1.44718i	−0.852300	+	0.523053i	$0.824793\pi$
$600$	−19.5776	+	14.6762i	−0.799251	+	0.599151i
$601$	9.49204	+	9.49204i	0.387189	+	0.387189i	0.873683	−	0.486495i	$-0.161725\pi$
$601$	9.49204	+	9.49204i	0.387189	+	0.387189i	−0.486495	+	0.873683i	$0.661725\pi$
$602$	5.65111	−	14.0767i	0.230322	−	0.573723i
$603$	0.0533566	−	0.0387658i	0.00217285	−	0.00157867i
$604$	−4.60830	−	13.1933i	−0.187509	−	0.536827i
$605$	0.383831	−	0.407853i	0.0156049	−	0.0165816i
$606$	−29.8777	−	24.9578i	−1.21370	−	1.01384i
$607$	−2.95857	−	18.6797i	−0.120085	−	0.758185i	−0.972082	−	0.234639i	$-0.924609\pi$
$607$	−2.95857	−	18.6797i	−0.120085	−	0.758185i	0.851998	−	0.523545i	$-0.175391\pi$
$608$	−1.27445	+	1.66900i	−0.0516858	+	0.0676870i
$609$	−21.4531	−	10.9309i	−0.869323	−	0.442942i
$610$	−7.29067	−	10.8640i	−0.295190	−	0.439871i
$611$	16.0843	+	22.1382i	0.650702	+	0.895615i
$612$	0.0138031	+	0.0763028i	0.000557957	+	0.00308436i
$613$	5.95277	−	11.6830i	0.240430	−	0.471871i	−0.738986	−	0.673720i	$-0.764695\pi$
$613$	5.95277	−	11.6830i	0.240430	−	0.471871i	0.979417	+	0.201850i	$0.0646952\pi$
$614$	8.77251	+	7.32795i	0.354030	+	0.295732i
$615$	−2.69208	−	24.6250i	−0.108555	−	0.992975i
$616$	−21.3145	+	37.4911i	−0.858787	+	1.51056i
$617$	42.1625	+	21.4828i	1.69740	+	0.864867i	0.986933	+	0.161133i	$0.0515149\pi$
$617$	42.1625	+	21.4828i	1.69740	+	0.864867i	0.710464	+	0.703733i	$0.248485\pi$
$618$	−5.74561	+	6.87824i	−0.231123	+	0.276684i
$619$	−0.445971	+	0.324017i	−0.0179251	+	0.0130233i	−0.596712	−	0.802456i	$-0.703526\pi$
$619$	−0.445971	+	0.324017i	−0.0179251	+	0.0130233i	0.578787	+	0.815479i	$0.303526\pi$
$620$	−10.7035	−	13.2216i	−0.429862	−	0.530990i
$621$	−6.57672	+	12.9075i	−0.263915	+	0.517962i
$622$	−14.6017	−	23.2528i	−0.585475	−	0.932353i
$623$	−20.2004	+	3.19943i	−0.809312	+	0.128182i
$624$	−13.3026	−	35.5648i	−0.532530	−	1.42373i
$625$	−10.5464	−	22.6666i	−0.421858	−	0.906662i
$626$	14.7298	+	8.80619i	0.588720	+	0.351966i
$627$	1.26624	+	1.74283i	0.0505688	+	0.0696020i
$628$	5.22614	+	9.72476i	0.208546	+	0.388060i
$629$	−12.9284	+	12.9284i	−0.515489	+	0.515489i
$630$	0.0532585	+	0.0793620i	0.00212187	+	0.00316186i
$631$	−15.8804	−	5.15984i	−0.632187	−	0.205410i	−0.0246435	−	0.999696i	$-0.507845\pi$
$631$	−15.8804	−	5.15984i	−0.632187	−	0.205410i	−0.607544	+	0.794286i	$0.707845\pi$
$632$	−19.6159	+	8.89022i	−0.780278	+	0.353634i
$633$	−17.3390	−	8.83468i	−0.689165	−	0.351147i
$634$	−6.97244	+	30.5091i	−0.276911	+	1.21167i
$635$	15.9377	+	44.4195i	0.632469	+	1.76274i
$636$	12.9417	+	1.76040i	0.513173	+	0.0698045i
$637$	−71.3049	−	23.1684i	−2.82520	−	0.917964i
$638$	13.3547	−	5.70367i	0.528717	−	0.225810i
$639$	0.00638673	+	0.0403242i	0.000252655	+	0.00159520i
$640$	4.66513	+	24.8644i	0.184406	+	0.982850i
$641$	−11.4602	−	1.81512i	−0.452651	−	0.0716929i	−0.0740536	−	0.997254i	$-0.523594\pi$
$641$	−11.4602	−	1.81512i	−0.452651	−	0.0716929i	−0.378598	+	0.925561i	$0.623594\pi$
$642$	23.4460	−	28.0679i	0.925341	−	1.10775i
$643$	−3.62274	−	11.1496i	−0.142867	−	0.439699i	0.853864	−	0.520497i	$-0.174253\pi$
$643$	−3.62274	−	11.1496i	−0.142867	−	0.439699i	−0.996730	+	0.0807980i	$0.974253\pi$
$644$	0.554033	+	25.3128i	0.0218319	+	0.997466i
$645$	−9.12395	+	0.276846i	−0.359255	+	0.0109008i
$646$	2.96878	−	0.747190i	0.116805	−	0.0293978i
$647$	−8.26066	−	8.26066i	−0.324760	−	0.324760i	0.525830	−	0.850590i	$-0.323755\pi$
$647$	−8.26066	−	8.26066i	−0.324760	−	0.324760i	−0.850590	+	0.525830i	$0.823755\pi$
$648$	−23.7723	−	8.94451i	−0.933863	−	0.351373i
$649$	5.90476	−	3.00862i	0.231782	−	0.118099i
$650$	38.3607	−	5.80350i	1.50463	−	0.227632i
$651$	24.2028	−	17.5843i	0.948581	−	0.689184i
$652$	29.9599	−	0.655744i	1.17332	−	0.0256809i
$653$			45.1969i			1.76869i	0.466831	+	0.884347i	$0.345396\pi$
$653$			45.1969i			1.76869i	−0.466831	+	0.884347i	$0.654604\pi$
$654$	−38.7753	−	15.5664i	−1.51623	−	0.608694i
$655$	−39.3260	−	5.01127i	−1.53659	−	0.195807i
$656$	−24.0692	−	8.75634i	−0.939745	−	0.341877i
$657$	−0.00885429	−	0.00885429i	−0.000345439	−	0.000345439i
$658$	29.4858	−	12.5931i	1.14948	−	0.490932i
$659$	34.4536	−	34.4536i	1.34212	−	1.34212i	0.448173	−	0.893947i	$-0.352075\pi$
$659$	34.4536	−	34.4536i	1.34212	−	1.34212i	0.893947	−	0.448173i	$-0.147925\pi$
$660$	25.8099	+	2.71645i	1.00465	+	0.105738i
$661$	−15.6989	−	21.6077i	−0.610616	−	0.840441i	0.386012	−	0.922494i	$-0.373852\pi$
$661$	−15.6989	−	21.6077i	−0.610616	−	0.840441i	−0.996628	+	0.0820528i	$0.973852\pi$
$662$	16.9245	−	42.1583i	0.657791	−	1.63853i
$663$	−17.1058	+	52.6463i	−0.664335	+	2.04461i
$664$	−10.6384	−	23.4731i	−0.412849	−	0.910933i
$665$	2.98407	−	2.30951i	0.115717	−	0.0895591i
$666$	0.00719548	+	0.0285895i	0.000278819	+	0.00110782i
$667$	5.01114	−	6.89724i	0.194032	−	0.267062i
$668$	−23.7589	−	22.7411i	−0.919258	−	0.879880i
$669$	0.474509	−	0.931277i	0.0183456	−	0.0360053i
$670$	−31.3468	−	1.16866i	−1.21103	−	0.0451492i
$671$	−2.17093	+	13.7067i	−0.0838077	+	0.529141i
$672$	−44.0961	+	5.91082i	−1.70104	+	0.228015i
$673$	−17.1487	−	12.4593i	−0.661035	−	0.480270i	0.205977	−	0.978557i	$-0.433963\pi$
$673$	−17.1487	−	12.4593i	−0.661035	−	0.480270i	−0.867012	+	0.498287i	$0.833963\pi$
$674$	11.5952	+	4.65492i	0.446631	+	0.179301i
$675$	13.9841	−	21.9303i	0.538247	−	0.844098i
$676$	−4.61085	+	33.8969i	−0.177340	+	1.30373i
$677$	−0.618779	−	1.21442i	−0.0237816	−	0.0466740i	0.878810	−	0.477172i	$-0.158338\pi$
$677$	−0.618779	−	1.21442i	−0.0237816	−	0.0466740i	−0.902592	+	0.430498i	$0.858338\pi$
$678$	24.5041	+	39.0222i	0.941075	+	1.49864i
$679$	−20.8158	−	64.0645i	−0.798837	−	2.45857i
$680$	17.2468	−	32.5993i	0.661384	−	1.25013i
$681$	2.33575	−	7.18869i	0.0895060	−	0.275471i
$682$	−1.21876	+	18.0021i	−0.0466686	+	0.689334i
$683$			7.94393i			0.303966i	0.988383	+	0.151983i	$0.0485659\pi$
$683$			7.94393i			0.303966i	−0.988383	+	0.151983i	$0.951434\pi$
$684$	0.00142230	−	0.00472694i	5.43830e−5	−	0.000180739i
$685$	6.63463	+	12.0994i	0.253496	+	0.462293i
$686$	−21.9855	+	36.7744i	−0.839412	+	1.40405i
$687$	−27.3588	+	4.33321i	−1.04380	+	0.165322i
$688$	−3.91271	+	8.58872i	−0.149171	+	0.327442i
$689$	−16.7548	−	12.1730i	−0.638305	−	0.463756i
$690$	13.8239	−	6.40657i	0.526268	−	0.243894i
$691$	23.4913	+	11.9694i	0.893650	+	0.455337i	0.839603	−	0.543201i	$-0.182788\pi$
$691$	23.4913	+	11.9694i	0.893650	+	0.455337i	0.0540472	+	0.998538i	$0.482788\pi$
$692$	18.4570	−	0.403975i	0.701629	−	0.0153568i
$693$	0.0158587	−	0.100128i	0.000602422	−	0.00380354i
$694$	−14.5915	+	1.30917i	−0.553887	+	0.0496955i
$695$	−5.63013	−	29.6887i	−0.213563	−	1.12616i
$696$	13.0234	+	7.40410i	0.493651	+	0.280652i
$697$	19.5099	+	31.8361i	0.738991	+	1.20588i
$698$	−41.7965	+	3.75004i	−1.58202	+	0.141941i
$699$	−44.2438	+	14.3757i	−1.67345	+	0.543738i
$700$	3.38481	−	45.3321i	0.127934	−	1.71339i
$701$	−11.6754	+	8.48264i	−0.440972	+	0.320385i	−0.786021	−	0.618200i	$-0.787862\pi$
$701$	−11.6754	+	8.48264i	−0.440972	+	0.320385i	0.345049	+	0.938585i	$0.387862\pi$
$702$	26.5485	+	30.4042i	1.00201	+	1.14753i
$703$	1.10696	−	0.359674i	0.0417499	−	0.0135654i
$704$	14.3141	−	22.6966i	0.539483	−	0.855411i
$705$	−14.0507	−	13.2232i	−0.529181	−	0.498013i
$706$	3.21255	−	3.84584i	0.120906	−	0.144740i
$707$	71.4377	−	11.3146i	2.68669	−	0.425530i
$708$	6.15798	+	2.96975i	0.231431	+	0.111610i
$709$	41.9172	+	6.63903i	1.57423	+	0.249334i	0.881615	−	0.471970i	$-0.156457\pi$
$709$	41.9172	+	6.63903i	1.57423	+	0.249334i	0.692619	+	0.721304i	$0.256457\pi$
$710$	9.45417	−	16.9613i	0.354809	−	0.636548i
$711$	0.0357973	−	0.0357973i	0.00134250	−	0.00134250i
$712$	12.6466	−	1.41425i	0.473950	−	0.0530011i
$713$	4.80909	+	9.43837i	0.180102	+	0.353470i
$714$	55.6693	+	33.2819i	2.08337	+	1.24554i
$715$	−34.0106	−	23.1674i	−1.27192	−	0.866413i
$716$	28.4534	−	21.6395i	1.06335	−	0.808705i
$717$	18.5507	+	36.4077i	0.692787	+	1.35967i
$718$	−0.501694	+	2.19525i	−0.0187231	+	0.0819261i
$719$	−6.47131	+	3.29730i	−0.241339	+	0.122968i	−0.570477	−	0.821313i	$-0.693242\pi$
$719$	−6.47131	+	3.29730i	−0.241339	+	0.122968i	0.329138	+	0.944282i	$0.393242\pi$
$720$	−0.0308464	−	0.0508420i	−0.00114958	−	0.00189477i
$721$	−2.60478	−	16.4459i	−0.0970069	−	0.612477i
$722$	26.0047	+	5.94301i	0.967795	+	0.221176i
$723$	−10.1009	−	13.9026i	−0.375655	−	0.517045i
$724$	−40.1402	−	27.8422i	−1.49180	−	1.03475i
$725$	−10.1475	+	11.4599i	−0.376867	+	0.425611i
$726$	−0.403081	−	0.461623i	−0.0149597	−	0.0171324i
$727$	−24.6560	+	33.9361i	−0.914441	+	1.25862i	0.0511857	+	0.998689i	$0.483700\pi$
$727$	−24.6560	+	33.9361i	−0.914441	+	1.25862i	−0.965627	+	0.259931i	$0.916300\pi$
$728$	66.0273	+	24.8433i	2.44713	+	0.920754i
$729$	27.0596			1.00221
$730$	0.711877	+	5.91300i	0.0263478	+	0.218850i
$731$	12.2593	−	6.24643i	0.453427	−	0.231033i
$732$	−12.6108	+	6.77712i	−0.466109	+	0.250490i
$733$	−12.2061	−	1.93326i	−0.450843	−	0.0714066i	−0.0731160	−	0.997323i	$-0.523294\pi$
$733$	−12.2061	−	1.93326i	−0.450843	−	0.0714066i	−0.377727	+	0.925917i	$0.623294\pi$
$734$	−34.0310	−	2.30393i	−1.25611	−	0.0850397i
$735$	52.4401	+	6.68239i	1.93428	+	0.246484i
$736$	0.375370	−	15.7490i	0.0138363	−	0.580516i
$737$	23.5269	+	23.5269i	0.866624	+	0.866624i
$738$	0.0602028		0.000659801i	0.00221610		2.42876e-5i
$739$	−11.2656			−0.414413			−0.207206	−	0.978297i	$-0.566437\pi$
$739$	−11.2656			−0.414413			−0.207206	+	0.978297i	$0.566437\pi$
$740$	5.70506	−	12.8089i	0.209722	−	0.470863i
$741$	2.49180	−	2.49180i	0.0915387	−	0.0915387i
$742$	−18.2782	+	15.9603i	−0.671015	+	0.585920i
$743$	−4.67394	+	29.5101i	−0.171470	+	1.08262i	0.740407	+	0.672158i	$0.234633\pi$
$743$	−4.67394	+	29.5101i	−0.171470	+	1.08262i	−0.911878	+	0.410462i	$0.865367\pi$
$744$	−15.5433	+	10.2414i	−0.569843	+	0.375468i
$745$	11.5800	+	32.2743i	0.424259	+	1.18244i
$746$	21.7493	−	5.47392i	0.796300	−	0.200415i
$747$	0.0428364	+	0.0428364i	0.00156730	+	0.00156730i
$748$	−36.9304	+	12.8995i	−1.35031	+	0.471651i
$749$	10.6293	+	67.1105i	0.388385	+	2.45217i
$750$	−25.8119	+	9.05989i	−0.942519	+	0.330820i
$751$	−24.2120	+	47.5187i	−0.883508	+	1.73398i	−0.236280	+	0.971685i	$0.575928\pi$
$751$	−24.2120	+	47.5187i	−0.883508	+	1.73398i	−0.647228	+	0.762297i	$0.724072\pi$
$752$	−18.6850	+	6.98891i	−0.681373	+	0.254859i
$753$	3.84876	−	2.79629i	0.140257	−	0.101902i
$754$	−12.6326	−	20.1171i	−0.460053	−	0.732622i
$755$	−0.473872	−	15.6173i	−0.0172460	−	0.568371i
$756$	41.6592	−	22.3879i	1.51513	−	0.814241i
$757$	−15.5173	−	5.04189i	−0.563988	−	0.183251i	0.0131270	−	0.999914i	$-0.495821\pi$
$757$	−15.5173	−	5.04189i	−0.563988	−	0.183251i	−0.577115	+	0.816663i	$0.695821\pi$
$758$	1.57498	−	6.89161i	0.0572058	−	0.250314i
$759$	−15.3699	−	4.99399i	−0.557893	−	0.181270i
$760$	−1.92042	+	1.35064i	−0.0696610	+	0.0489927i
$761$	7.77260	+	23.9216i	0.281756	+	0.867157i	0.987352	+	0.158543i	$0.0506795\pi$
$761$	7.77260	+	23.9216i	0.281756	+	0.867157i	−0.705596	+	0.708615i	$0.749320\pi$
$762$	50.0775	−	12.6036i	1.81412	−	0.456581i
$763$	69.1675	−	35.2426i	2.50403	−	1.27587i
$764$	−0.768697	−	35.1205i	−0.0278105	−	1.27062i
$765$	−0.0109587	+	0.0859983i	−0.000396212	+	0.00310927i
$766$	−29.6727	+	12.6730i	−1.07212	+	0.457893i
$767$	−6.37193	−	8.77020i	−0.230077	−	0.316674i
$768$	27.5761	−	2.42008i	0.995067	−	0.0873270i
$769$	−16.4639	+	22.6606i	−0.593703	+	0.817161i	−0.995114	−	0.0987366i	$-0.968520\pi$
$769$	−16.4639	+	22.6606i	−0.593703	+	0.817161i	0.401411	+	0.915898i	$0.368520\pi$
$770$	−35.3410	+	32.8006i	−1.27360	+	1.18205i
$771$	15.2871	+	11.1067i	0.550552	+	0.399999i
$772$	12.9601	+	1.76291i	0.466445	+	0.0634485i
$773$	−11.6073	−	35.7235i	−0.417484	−	1.28488i	−0.910010	−	0.414586i	$-0.863926\pi$
$773$	−11.6073	−	35.7235i	−0.417484	−	1.28488i	0.492526	−	0.870298i	$-0.336074\pi$
$774$	0.00149855	−	0.0221349i	5.38643e−5	−	0.000795621i
$775$	−6.96302	−	17.6984i	−0.250119	−	0.635746i
$776$	11.1165	+	40.4113i	0.399060	+	1.45068i
$777$	21.9718	+	11.1952i	0.788235	+	0.401626i
$778$	17.9017	−	1.60617i	0.641808	−	0.0575839i
$779$	−0.186537	−	2.36965i	−0.00668337	−	0.0849016i
$780$	−2.21579	−	42.3953i	−0.0793379	−	1.51799i
$781$	−19.5885	+	6.36470i	−0.700933	+	0.227747i
$782$	−14.7232	+	17.6255i	−0.526499	+	0.630288i
$783$	−15.7289	−	2.49121i	−0.562105	−	0.0890286i
$784$	30.1619	−	45.5829i	1.07721	−	1.62796i
$785$	2.29976	+	12.1271i	0.0820819	+	0.432833i
$786$	−9.66463	+	42.2893i	−0.344726	+	1.50841i
$787$	1.36415	+	8.61292i	0.0486268	+	0.307017i	0.999999	−	0.00102477i	$-0.000326193\pi$
$787$	1.36415	+	8.61292i	0.0486268	+	0.307017i	−0.951373	+	0.308042i	$0.900326\pi$
$788$	−9.08621	+	13.0996i	−0.323683	+	0.466654i
$789$	−2.52860	+	3.48032i	−0.0900206	+	0.123903i
$790$	−23.9059	+	2.87807i	−0.850532	+	0.102397i
$791$	−84.5538	−	13.3920i	−3.00639	−	0.476165i
$792$	−0.0127040	+	0.0617837i	−0.000451416	+	0.00219539i
$793$	22.7009			0.806133
$794$	9.78432	−	8.54350i	0.347232	−	0.303198i
$795$	13.2060	+	6.23175i	0.468370	+	0.221018i
$796$	−9.33168	−	26.7160i	−0.330752	−	0.946925i
$797$	15.3246	−	30.0763i	0.542827	−	1.06536i	−0.442832	−	0.896605i	$-0.646026\pi$
$797$	15.3246	−	30.0763i	0.542827	−	1.06536i	0.985658	−	0.168753i	$-0.0539739\pi$
$798$	−2.19577	−	3.49671i	−0.0777294	−	0.123782i
$799$	27.6593	+	8.98704i	0.978515	+	0.317939i
$800$	−3.39279	+	28.0800i	−0.119953	+	0.992780i
$801$	−0.0266528	+	0.0135803i	−0.000941732	+	0.000479836i
$802$	−40.3733	+	17.2431i	−1.42563	+	0.608875i
$803$	3.71310	−	5.11064i	0.131032	−	0.180351i
$804$	−4.62639	+	34.0112i	−0.163160	+	1.19948i
$805$	−7.92693	+	27.1748i	−0.279388	+	0.957788i
$806$	29.3971	−	2.63755i	1.03547	−	0.0929037i
$807$	8.59472	−	2.79259i	0.302548	−	0.0983039i
$808$	−44.7239	+	5.00141i	−1.57338	+	0.175949i
$809$	−5.42911	−	34.2781i	−0.190877	−	1.20515i	−0.878018	−	0.478628i	$-0.841134\pi$
$809$	−5.42911	−	34.2781i	−0.190877	−	1.20515i	0.687140	−	0.726525i	$-0.258866\pi$
$810$	−22.3361	−	17.5358i	−0.784810	−	0.616146i
$811$	−7.89730			−0.277312			−0.138656	−	0.990341i	$-0.544278\pi$
$811$	−7.89730			−0.277312			−0.138656	+	0.990341i	$0.544278\pi$
$812$	−26.2762	+	9.17805i	−0.922114	+	0.322086i
$813$	−40.1261	−	13.0378i	−1.40728	−	0.457254i
$814$	−13.6776	+	5.84159i	−0.479400	+	0.204748i
$815$	32.1637	+	9.38219i	1.12665	+	0.328644i
$816$	−33.6551	−	22.2693i	−1.17816	−	0.779581i
$817$	−0.875896			−0.0306437
$818$	−14.2554	+	6.08837i	−0.498429	+	0.212875i
$819$	−0.165831			−0.00579460
$820$	−22.7160	−	17.4351i	−0.793277	−	0.608861i
$821$	42.4541			1.48166			0.740829	−	0.671693i	$-0.234433\pi$
$821$	42.4541			1.48166			0.740829	+	0.671693i	$0.234433\pi$
$822$	13.8859	−	5.93054i	0.484326	−	0.206851i
$823$	23.9428			0.834594			0.417297	−	0.908770i	$-0.362978\pi$
$823$	23.9428			0.834594			0.417297	+	0.908770i	$0.362978\pi$
$824$	1.15139	+	10.2960i	0.0401106	+	0.358680i
$825$	26.6044	+	11.5812i	0.926245	+	0.403205i
$826$	−11.6810	+	4.98887i	−0.406435	+	0.173585i
$827$	−10.4175	−	3.38484i	−0.362251	−	0.117702i	0.122236	−	0.992501i	$-0.460994\pi$
$827$	−10.4175	−	3.38484i	−0.362251	−	0.117702i	−0.484487	+	0.874799i	$0.660994\pi$
$828$	0.0122112	+	0.0349599i	0.000424368	+	0.00121494i
$829$	−4.75367			−0.165102			−0.0825509	−	0.996587i	$-0.526307\pi$
$829$	−4.75367			−0.165102			−0.0825509	+	0.996587i	$0.526307\pi$
$830$	−3.44401	−	28.6067i	−0.119543	−	0.992952i
$831$	−0.813501	−	5.13624i	−0.0282200	−	0.178174i
$832$	−40.3330	−	17.3188i	−1.39830	−	0.600421i
$833$	−75.7826	+	24.6233i	−2.62571	+	0.853146i
$834$	−32.9330	+	2.95479i	−1.14038	+	0.102316i
$835$	−17.6793	−	32.2412i	−0.611818	−	1.11575i
$836$	2.46756	+	0.335651i	0.0853424	+	0.0116087i
$837$	11.6304	−	16.0079i	0.402006	−	0.553313i
$838$	−9.52612	+	4.06853i	−0.329074	+	0.140545i
$839$	−38.3002	+	19.5149i	−1.32227	+	0.673730i	−0.965486	−	0.260456i	$-0.916127\pi$
$839$	−38.3002	+	19.5149i	−1.32227	+	0.673730i	−0.356785	+	0.934187i	$0.616127\pi$
$840$	−49.0040	−	8.53603i	−1.69080	−	0.294521i
$841$	−18.6673	−	6.06538i	−0.643701	−	0.209151i
$842$	−17.1247	−	27.2707i	−0.590157	−	0.939809i
$843$	−7.34891	+	14.4230i	−0.253110	+	0.496756i
$844$	−21.2372	+	7.41798i	−0.731016	+	0.255337i
$845$	−16.3222	+	34.5892i	−0.561501	+	1.18990i
$846$	0.0353233	−	0.0308437i	0.00121444	−	0.00106043i
$847$	1.13858			0.0391222
$848$	11.8147	−	9.40042i	0.405718	−	0.322812i
$849$	15.6000	+	2.47080i	0.535391	+	0.0847976i
$850$	29.3579	−	28.9538i	1.00697	−	0.993107i
$851$	−5.13231	+	7.06402i	−0.175933	+	0.242152i
$852$	−17.4592	−	12.1101i	−0.598143	−	0.414887i
$853$	5.11665	+	32.3052i	0.175191	+	1.10611i	0.905922	+	0.423445i	$0.139179\pi$
$853$	5.11665	+	32.3052i	0.175191	+	1.10611i	−0.730731	+	0.682665i	$0.760821\pi$
$854$	5.92592	−	25.9299i	0.202781	−	0.887303i
$855$	0.00310704	−	0.00456124i	0.000106258	−	0.000155991i
$856$	−4.69846	−	42.0149i	−0.160590	−	1.43604i
$857$	−54.9747	−	8.70713i	−1.87790	−	0.297430i	−0.890415	−	0.455150i	$-0.849586\pi$
$857$	−54.9747	−	8.70713i	−1.87790	−	0.297430i	−0.987484	+	0.157720i	$0.949586\pi$
$858$	−28.8678	+	34.5585i	−0.985530	+	1.17981i
$859$	36.1753	−	11.7541i	1.23428	−	0.401043i	0.382020	−	0.924154i	$-0.375229\pi$
$859$	36.1753	−	11.7541i	1.23428	−	0.401043i	0.852265	+	0.523111i	$0.175229\pi$
$860$	−7.06177	+	7.84064i	−0.240804	+	0.267364i
$861$	32.7054	−	38.2945i	1.11460	−	1.30507i
$862$	3.36424	−	0.301844i	0.114586	−	0.0102808i
$863$	−1.69022	−	0.861211i	−0.0575358	−	0.0293160i	0.424986	−	0.905200i	$-0.360279\pi$
$863$	−1.69022	−	0.861211i	−0.0575358	−	0.0293160i	−0.482522	+	0.875884i	$0.660279\pi$
$864$	−26.5300	+	12.7308i	−0.902567	+	0.433109i
$865$	19.8147	+	5.77996i	0.673719	+	0.196524i
$866$	−1.22013	+	18.0223i	−0.0414617	+	0.612424i
$867$	9.09113	+	27.9796i	0.308751	+	0.950237i
$868$	4.66120	−	34.2671i	0.158211	−	1.16310i
$869$	20.6620	+	15.0118i	0.700910	+	0.509241i
$870$	11.3940	+	12.2765i	0.386294	+	0.416213i
$871$	31.9911	−	44.0320i	1.08398	−	1.49197i
$872$	−43.9933	+	19.9384i	−1.48980	+	0.675201i
$873$	−0.0579098	−	0.0797060i	−0.00195995	−	0.00269764i
$874$	1.34452	−	0.574233i	0.0454790	−	0.0194237i
$875$	18.8629	−	47.1939i	0.637682	−	1.59545i
$876$	6.51534	−	0.142604i	0.220133	−	0.00481814i
$877$	−25.3186	+	12.9005i	−0.854949	+	0.435618i	−0.825804	−	0.563957i	$-0.809278\pi$
$877$	−25.3186	+	12.9005i	−0.854949	+	0.435618i	−0.0291450	+	0.999575i	$0.509278\pi$
$878$	−35.5471	+	8.94658i	−1.19966	+	0.301932i
$879$	9.02659	+	27.7810i	0.304459	+	0.937029i
$880$	22.8989	−	19.3824i	0.771922	−	0.653381i
$881$	45.6728	+	14.8400i	1.53876	+	0.499972i	0.951033	−	0.309090i	$-0.100024\pi$
$881$	45.6728	+	14.8400i	1.53876	+	0.499972i	0.587723	+	0.809062i	$0.300024\pi$
$882$	−0.0286251	+	0.125254i	−0.000963859	+	0.00421754i
$883$	−44.1493	−	14.3450i	−1.48574	−	0.482747i	−0.549920	−	0.835217i	$-0.685342\pi$
$883$	−44.1493	−	14.3450i	−1.48574	−	0.482747i	−0.935823	+	0.352470i	$0.885342\pi$
$884$	30.2915	+	56.3662i	1.01881	+	1.89580i
$885$	5.56630	+	5.23846i	0.187109	+	0.176089i
$886$	1.14762	+	1.82755i	0.0385550	+	0.0613978i
$887$	−32.3147	+	23.4780i	−1.08502	+	0.788315i	−0.978552	−	0.206001i	$-0.933955\pi$
$887$	−32.3147	+	23.4780i	−1.08502	+	0.788315i	−0.106471	+	0.994316i	$0.533955\pi$
$888$	−13.3383	−	7.58314i	−0.447605	−	0.254474i
$889$	−43.5558	+	85.4830i	−1.46081	+	2.86701i
$890$	13.9596	+	2.74764i	0.467927	+	0.0921012i
$891$	4.71188	+	29.7497i	0.157854	+	0.996651i
$892$	−0.398419	−	1.14065i	−0.0133400	−	0.0381917i
$893$	−1.30914	−	1.30914i	−0.0438088	−	0.0438088i
$894$	36.3853	−	9.15753i	1.21691	−	0.306274i
$895$	37.6184	−	13.4975i	1.25744	−	0.451171i
$896$	−30.3109	+	41.5490i	−1.01261	+	1.38806i
$897$	−4.13551	+	26.1106i	−0.138081	+	0.871806i
$898$	−41.2766	+	36.0420i	−1.37742	+	1.20274i
$899$	−8.23410	+	8.23410i	−0.274623	+	0.274623i
$900$	−0.0157803	−	0.0645871i	−0.000526008	−	0.00215290i
$901$	−22.0105			−0.733277
$902$	5.07991	+	29.9455i	0.169143	+	0.997076i
$903$	−13.1219	−	13.1219i	−0.436669	−	0.436669i
$904$	52.1738	+	10.7280i	1.73528	+	0.356807i
$905$	−33.4285	−	43.1922i	−1.11120	−	1.43576i
$906$	−17.0577	−	1.15482i	−0.566705	−	0.0383665i
$907$	49.5308	+	7.84491i	1.64464	+	0.260486i	0.908973	−	0.416854i	$-0.136868\pi$
$907$	49.5308	+	7.84491i	1.64464	+	0.260486i	0.735670	+	0.677340i	$0.236868\pi$
$908$	−4.13622	−	7.69663i	−0.137265	−	0.255422i
$909$	0.0942564	−	0.0480260i	0.00312629	−	0.00159292i
$910$	62.0383	+	48.7056i	2.05655	+	1.61458i
$911$	21.2435			0.703827			0.351914	−	0.936032i	$-0.385531\pi$
$911$	21.2435			0.703827			0.351914	+	0.936032i	$0.385531\pi$
$912$	1.26536	+	2.23582i	0.0419003	+	0.0740353i
$913$	−17.9637	+	24.7249i	−0.594512	+	0.818276i
$914$	−29.2675	−	33.5181i	−0.968082	−	1.10868i
$915$	−15.7260	+	2.98226i	−0.519887	+	0.0985906i
$916$	−18.2498	+	26.3108i	−0.602992	+	0.869334i
$917$	−47.3723	−	65.2023i	−1.56437	−	2.15317i
$918$	41.8204	+	9.55746i	1.38028	+	0.315443i
$919$	−0.894894	−	5.65014i	−0.0295198	−	0.186381i	0.968522	−	0.248927i	$-0.0800779\pi$
$919$	−0.894894	−	5.65014i	−0.0295198	−	0.186381i	−0.998042	+	0.0625461i	$0.980078\pi$
$920$	5.69967	−	16.6652i	0.187913	−	0.549435i
$921$	12.4597	−	6.34856i	0.410562	−	0.209192i
$922$	6.66745	−	29.1746i	0.219581	−	0.960814i
$923$	15.2958	+	30.0197i	0.503468	+	0.988112i
$924$	31.9383	+	41.9952i	1.05069	+	1.38154i
$925$	10.3928	−	11.7370i	0.341714	−	0.385911i
$926$	−37.0835	−	22.1704i	−1.21864	−	0.728564i
$927$	−0.0110562	−	0.0216991i	−0.000363134	−	0.000712691i
$928$	16.5930	−	4.95751i	0.544692	−	0.162738i
$929$	16.0940	−	16.0940i	0.528026	−	0.528026i	−0.391957	−	0.919983i	$-0.628202\pi$
$929$	16.0940	−	16.0940i	0.528026	−	0.528026i	0.919983	+	0.391957i	$0.128202\pi$
$930$	−20.0183	+	5.68912i	−0.656426	+	0.186553i
$931$	5.01015	+	0.793530i	0.164201	+	0.0260069i
$932$	−23.3599	+	48.4385i	−0.765180	+	1.58666i
$933$	−33.1774	+	5.25478i	−1.08618	+	0.172034i
$934$	13.0975	−	15.6794i	0.428564	−	0.513046i
$935$	−43.7156	+	1.32646i	−1.42965	+	0.0433797i
$936$	0.103073	+	0.00471514i	0.00336903	+	0.000154119i
$937$	33.4237	−	10.8600i	1.09190	−	0.354781i	0.292922	−	0.956136i	$-0.405372\pi$
$937$	33.4237	−	10.8600i	1.09190	−	0.354781i	0.798982	+	0.601355i	$0.205372\pi$
$938$	−41.9440	−	48.0357i	−1.36952	−	1.56842i
$939$	16.9854	−	12.3406i	0.554297	−	0.402721i
$940$	−22.2736	+	1.16413i	−0.726485	+	0.0379697i
$941$	4.04299	−	1.31365i	0.131798	−	0.0428236i	−0.242375	−	0.970183i	$-0.577927\pi$
$941$	4.04299	−	1.31365i	0.131798	−	0.0428236i	0.374173	+	0.927359i	$0.377927\pi$
$942$	13.4523	−	1.20696i	0.438298	−	0.0393247i
$943$	11.5810	+	13.5591i	0.377130	+	0.441547i
$944$	7.40222	−	2.76871i	0.240922	−	0.0901139i
$945$	51.9503	−	9.85178i	1.68994	−	0.320479i
$946$	11.1475	−	1.00017i	0.362437	−	0.0325183i
$947$	4.33006	−	27.3389i	0.140708	−	0.888395i	−0.811812	−	0.583919i	$-0.801519\pi$
$947$	4.33006	−	27.3389i	0.140708	−	0.888395i	0.952520	−	0.304476i	$-0.0984813\pi$
$948$	0.576539	+	26.3411i	0.0187251	+	0.855519i
$949$	−9.20724	−	4.69132i	−0.298880	−	0.152287i
$950$	−2.50203	+	0.793828i	−0.0811764	+	0.0257552i
$951$	30.9747	+	22.5044i	1.00442	+	0.729756i
$952$	72.2911	−	19.8862i	2.34297	−	0.644516i
$953$	10.8305	−	1.71538i	0.350834	−	0.0555666i	0.0214694	−	0.999770i	$-0.493166\pi$
$953$	10.8305	−	1.71538i	0.350834	−	0.0555666i	0.329364	+	0.944203i	$0.393166\pi$
$954$	−0.0182117	+	0.0304619i	−0.000589624	+	0.000986242i
$955$	10.9983	−	37.7040i	0.355896	−	1.22007i
$956$	45.2318	+	13.6099i	1.46290	+	0.440176i
$957$		−	17.7656i		−	0.574281i
$958$	0.945579	−	13.9670i	0.0305503	−	0.451253i
$959$	−8.66880	+	26.6798i	−0.279930	+	0.861536i
$960$	30.2158	+	6.69894i	0.975212	+	0.216207i
$961$	5.10845	+	15.7222i	0.164789	+	0.507168i
$962$	12.9381	+	20.6035i	0.417140	+	0.664285i
$963$	0.0451170	+	0.0885471i	0.00145387	+	0.00285339i
$964$	−19.6838	−	2.67750i	−0.633974	−	0.0862366i
$965$	13.2248	+	6.24062i	0.425722	+	0.200893i
$966$	28.7450	+	11.5397i	0.924855	+	0.371284i
$967$	−17.8988	−	13.0042i	−0.575587	−	0.418188i	0.261544	−	0.965192i	$-0.415768\pi$
$967$	−17.8988	−	13.0042i	−0.575587	−	0.418188i	−0.837130	+	0.547003i	$0.815768\pi$
$968$	−0.707689	−	0.0323738i	−0.0227460	−	0.00104053i
$969$	0.585884	−	3.69913i	0.0188213	−	0.118833i
$970$	−1.74578	+	46.8269i	−0.0560537	+	1.50352i
$971$	11.1799	−	21.9417i	0.358778	−	0.704142i	−0.639108	−	0.769117i	$-0.720697\pi$
$971$	11.1799	−	21.9417i	0.358778	−	0.704142i	0.997887	+	0.0649742i	$0.0206965\pi$
$972$	0.0955536	−	0.0998300i	0.00306488	−	0.00320205i
$973$	36.1086	−	49.6992i	1.15759	−	1.59328i
$974$	−6.60300	−	26.2354i	−0.211574	−	0.840638i
$975$	11.9033	−	45.9472i	0.381212	−	1.47149i
$976$	−4.42054	+	15.9483i	−0.141498	+	0.510492i
$977$	−1.48185	+	4.56066i	−0.0474086	+	0.145909i	−0.971959	−	0.235152i	$-0.924441\pi$
$977$	−1.48185	+	4.56066i	−0.0474086	+	0.145909i	0.924550	+	0.381061i	$0.124441\pi$
$978$	13.6582	−	34.0221i	0.436742	−	1.08791i
$979$	−8.87014	−	12.2087i	−0.283491	−	0.390192i
$980$	47.4968	−	38.4510i	1.51723	−	1.22827i
$981$	0.0802839	−	0.0802839i	0.00256327	−	0.00256327i
$982$	−27.6743	+	11.8195i	−0.883123	+	0.377174i
$983$	28.8420	+	28.8420i	0.919917	+	0.919917i	0.997023	−	0.0771060i	$-0.0245680\pi$
$983$	28.8420	+	28.8420i	0.919917	+	0.919917i	−0.0771060	+	0.997023i	$0.524568\pi$
$984$	−21.4170	+	22.8721i	−0.682748	+	0.729136i
$985$	−14.0956	+	10.9093i	−0.449124	+	0.347598i
$986$	−23.4289	−	9.40555i	−0.746127	−	0.299534i
$987$		−	39.2248i		−	1.24854i
$988$	−0.0891396	−	4.07264i	−0.00283591	−	0.129568i
$989$	5.31591	−	3.86224i	0.169036	−	0.122812i
$990$	−0.0343348	+	0.0615987i	−0.00109123	+	0.00195773i
$991$	−31.2153	+	15.9050i	−0.991587	+	0.505239i	−0.873008	−	0.487706i	$-0.837834\pi$
$991$	−31.2153	+	15.9050i	−0.991587	+	0.505239i	−0.118579	+	0.992945i	$0.537834\pi$
$992$	−3.87151	+	21.1662i	−0.122920	+	0.672029i
$993$	−39.2988	−	39.2988i	−1.24711	−	1.24711i
$994$	38.2826	−	9.63506i	1.21425	−	0.305606i
$995$	−0.959579	−	31.6246i	−0.0304207	−	1.00257i
$996$	−31.5208	+	0.689908i	−0.998774	+	0.0218606i
$997$	−1.37244	−	4.22394i	−0.0434657	−	0.133774i	0.926969	−	0.375139i	$-0.122405\pi$
$997$	−1.37244	−	4.22394i	−0.0434657	−	0.133774i	−0.970434	+	0.241365i	$0.922405\pi$
$998$	5.77883	−	6.91801i	0.182926	−	0.218986i
$999$	16.1092	+	2.55145i	0.509673	+	0.0807243i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	820.2.bv.c.207.45	yes	960
4.3	odd	2	inner	820.2.bv.c.207.8	yes	960
5.3	odd	4		820.2.bk.c.43.17	✓	960
20.3	even	4		820.2.bk.c.43.69	yes	960
41.21	even	20		820.2.bk.c.267.69	yes	960
164.103	odd	20		820.2.bk.c.267.17	yes	960
205.103	odd	20	inner	820.2.bv.c.103.8	yes	960
820.103	even	20	inner	820.2.bv.c.103.45	yes	960

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
820.2.bk.c.43.17	✓	960	5.3	odd	4
820.2.bk.c.43.69	yes	960	20.3	even	4
820.2.bk.c.267.17	yes	960	164.103	odd	20
820.2.bk.c.267.69	yes	960	41.21	even	20
820.2.bv.c.103.8	yes	960	205.103	odd	20	inner
820.2.bv.c.103.45	yes	960	820.103	even	20	inner
820.2.bv.c.207.8	yes	960	4.3	odd	2	inner
820.2.bv.c.207.45	yes	960	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 820 = 2^{2} \cdot 5 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	820.bv (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.555460 - 1.30056i) q^{2} -1.73013 q^{3} +(-1.38293 + 1.44482i) q^{4} +(-1.96065 + 1.07511i) q^{5} +(0.961018 + 2.25014i) q^{6} +(-4.32334 - 1.40474i) q^{7} +(2.64724 + 0.996046i) q^{8} -0.00664869 q^{9} +(2.48731 + 1.95276i) q^{10} +(-0.524708 - 3.31288i) q^{11} +(2.39265 - 2.49973i) q^{12} +(-5.21822 + 1.69550i) q^{13} +(0.574491 + 6.40306i) q^{14} +(3.39217 - 1.86008i) q^{15} +(-0.175015 - 3.99617i) q^{16} +(-3.42756 + 4.71763i) q^{17} +(0.00369308 + 0.00864704i) q^{18} +(0.330761 - 0.168531i) q^{19} +(1.15809 - 4.31959i) q^{20} +(7.47995 + 2.43038i) q^{21} +(-4.01715 + 2.52259i) q^{22} +(-1.26429 + 2.48132i) q^{23} +(-4.58007 - 1.72329i) q^{24} +(2.68827 - 4.21583i) q^{25} +(5.10362 + 5.84484i) q^{26} +5.20189 q^{27} +(8.00848 - 4.30380i) q^{28} +(-3.02368 - 0.478905i) q^{29} +(-4.30337 - 3.37853i) q^{30} +(2.23580 - 3.07732i) q^{31} +(-5.10006 + 2.44733i) q^{32} +(0.907813 + 5.73171i) q^{33} +(8.03945 + 1.83730i) q^{34} +(9.98680 - 1.89388i) q^{35} +(0.00919467 - 0.00960617i) q^{36} +(3.09680 + 0.490485i) q^{37} +(-0.402910 - 0.336564i) q^{38} +(9.02820 - 2.93344i) q^{39} +(-6.26117 + 0.893188i) q^{40} +(2.45027 - 5.91576i) q^{41} +(-0.993945 - 11.0781i) q^{42} +(-2.10232 - 1.07119i) q^{43} +(5.51215 + 3.82336i) q^{44} +(0.0130357 - 0.00714809i) q^{45} +(3.92937 + 0.266023i) q^{46} +(-1.54117 - 4.74323i) q^{47} +(0.302800 + 6.91389i) q^{48} +(11.0549 + 8.03185i) q^{49} +(-6.97618 - 1.15454i) q^{50} +(5.93013 - 8.16212i) q^{51} +(4.76673 - 9.88415i) q^{52} +(2.21862 + 3.05367i) q^{53} +(-2.88944 - 6.76539i) q^{54} +(4.59048 + 5.93126i) q^{55} +(-10.0458 - 8.02494i) q^{56} +(-0.572260 + 0.291581i) q^{57} +(1.05669 + 4.19850i) q^{58} +(0.610546 + 1.87907i) q^{59} +(-2.00365 + 7.47345i) q^{60} +(-3.93490 - 1.27853i) q^{61} +(-5.24414 - 1.19848i) q^{62} +(0.0287446 + 0.00933968i) q^{63} +(6.01578 + 5.27355i) q^{64} +(8.40823 - 8.93445i) q^{65} +(6.95019 - 4.36440i) q^{66} +(-8.02513 + 5.83060i) q^{67} +(-2.07606 - 11.4764i) q^{68} +(2.18739 - 4.29300i) q^{69} +(-8.01038 - 11.9365i) q^{70} +(-0.960600 - 6.06499i) q^{71} +(-0.0176007 - 0.00662240i) q^{72} +(1.33173 + 1.33173i) q^{73} +(-1.08224 - 4.30003i) q^{74} +(-4.65105 + 7.29394i) q^{75} +(-0.213922 + 0.710958i) q^{76} +(-2.38524 + 15.0598i) q^{77} +(-8.82993 - 10.1123i) q^{78} +(-5.38411 + 5.38411i) q^{79} +(4.63947 + 7.64691i) q^{80} -8.98001 q^{81} +(-9.05484 + 0.0992377i) q^{82} +(-6.44284 - 6.44284i) q^{83} +(-13.8557 + 7.44614i) q^{84} +(1.64825 - 12.9346i) q^{85} +(-0.225391 + 3.32921i) q^{86} +(5.23137 + 0.828567i) q^{87} +(1.91075 - 9.29262i) q^{88} +(4.00873 - 2.04255i) q^{89} +(-0.0165374 - 0.0129833i) q^{90} +24.9419 q^{91} +(-1.83663 - 5.25816i) q^{92} +(-3.86823 + 5.32416i) q^{93} +(-5.31281 + 4.63906i) q^{94} +(-0.467316 + 0.686036i) q^{95} +(8.82376 - 4.23420i) q^{96} +(8.70996 + 11.9882i) q^{97} +(4.30538 - 18.8390i) q^{98} +(0.00348862 + 0.0220263i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 960 q - 10 q^{2} - 20 q^{5} - 16 q^{6} + 2 q^{8} + 960 q^{9} - 60 q^{10} - 40 q^{12} - 20 q^{13} - 8 q^{14} - 28 q^{16} - 20 q^{17} - 48 q^{18} - 34 q^{20} - 40 q^{21} - 10 q^{22} - 48 q^{24} - 4 q^{25}+ \cdots - 38 q^{98}+O(q^{100}) \) 960 * q - 10 * q^2 - 20 * q^5 - 16 * q^6 + 2 * q^8 + 960 * q^9 - 60 * q^10 - 40 * q^12 - 20 * q^13 - 8 * q^14 - 28 * q^16 - 20 * q^17 - 48 * q^18 - 34 * q^20 - 40 * q^21 - 10 * q^22 - 48 * q^24 - 4 * q^25 - 20 * q^26 - 10 * q^28 - 10 * q^30 - 56 * q^33 - 20 * q^34 - 100 * q^36 + 88 * q^37 - 16 * q^40 - 24 * q^41 - 104 * q^42 - 100 * q^45 - 20 * q^46 - 40 * q^48 + 224 * q^49 - 12 * q^50 - 38 * q^52 - 20 * q^53 - 52 * q^54 + 96 * q^56 - 72 * q^57 - 38 * q^58 - 14 * q^60 - 40 * q^61 - 10 * q^62 - 120 * q^64 - 60 * q^65 - 12 * q^66 - 116 * q^68 - 104 * q^69 - 96 * q^70 - 24 * q^72 - 72 * q^73 - 28 * q^74 - 40 * q^76 - 76 * q^77 - 44 * q^78 - 90 * q^80 + 592 * q^81 - 130 * q^82 - 92 * q^84 - 64 * q^85 - 12 * q^86 - 104 * q^88 + 136 * q^89 - 364 * q^90 - 220 * q^92 - 32 * q^94 - 44 * q^96 + 80 * q^97 - 38 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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