LMFDB - Embedded newform 820.2.bv.c.207.8

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)

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);

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")

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			207.8
Character	$\chi$	$=$	820.207
Dual form			820.2.bv.c.103.8

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.37867 + 0.315075i) q^{2} +1.73013 q^{3} +(1.80145 - 0.868769i) q^{4} +(-1.96065 + 1.07511i) q^{5} +(-2.38528 + 0.545122i) q^{6} +(4.32334 + 1.40474i) q^{7} +(-2.20988 + 1.76534i) q^{8} -0.00664869 q^{9} +(2.36434 - 2.09998i) q^{10} +(0.524708 + 3.31288i) q^{11} +(3.11675 - 1.50308i) q^{12} +(-5.21822 + 1.69550i) q^{13} +(-6.40306 - 0.574491i) q^{14} +(-3.39217 + 1.86008i) q^{15} +(2.49048 - 3.13010i) q^{16} +(-3.42756 + 4.71763i) q^{17} +(0.00916634 - 0.00209484i) q^{18} +(-0.330761 + 0.168531i) q^{19} +(-2.59799 + 3.64012i) q^{20} +(7.47995 + 2.43038i) q^{21} +(-1.76720 - 4.40204i) q^{22} +(1.26429 - 2.48132i) q^{23} +(-3.82338 + 3.05427i) q^{24} +(2.68827 - 4.21583i) q^{25} +(6.65999 - 3.98167i) q^{26} -5.20189 q^{27} +(9.00871 - 1.22541i) q^{28} +(-3.02368 - 0.478905i) q^{29} +(4.09062 - 3.63323i) q^{30} +(-2.23580 + 3.07732i) q^{31} +(-2.44733 + 5.10006i) q^{32} +(0.907813 + 5.73171i) q^{33} +(3.23906 - 7.58399i) q^{34} +(-9.98680 + 1.89388i) q^{35} +(-0.0119773 + 0.00577618i) q^{36} +(3.09680 + 0.490485i) q^{37} +(0.402910 - 0.336564i) q^{38} +(-9.02820 + 2.93344i) q^{39} +(2.43486 - 5.83708i) q^{40} +(2.45027 - 5.91576i) q^{41} +(-11.0781 - 0.993945i) q^{42} +(2.10232 + 1.07119i) q^{43} +(3.82336 + 5.51215i) q^{44} +(0.0130357 - 0.00714809i) q^{45} +(-0.961241 + 3.81926i) q^{46} +(1.54117 + 4.74323i) q^{47} +(4.30886 - 5.41548i) q^{48} +(11.0549 + 8.03185i) q^{49} +(-2.37792 + 6.65924i) q^{50} +(-5.93013 + 8.16212i) q^{51} +(-7.92739 + 7.58780i) q^{52} +(2.21862 + 3.05367i) q^{53} +(7.17169 - 1.63899i) q^{54} +(-4.59048 - 5.93126i) q^{55} +(-12.0339 + 4.52786i) q^{56} +(-0.572260 + 0.291581i) q^{57} +(4.31955 - 0.292438i) q^{58} +(-0.610546 - 1.87907i) q^{59} +(-4.49486 + 6.29787i) q^{60} +(-3.93490 - 1.27853i) q^{61} +(2.11284 - 4.94705i) q^{62} +(-0.0287446 - 0.00933968i) q^{63} +(1.76715 - 7.80238i) q^{64} +(8.40823 - 8.93445i) q^{65} +(-3.05749 - 7.61610i) q^{66} +(8.02513 - 5.83060i) q^{67} +(-2.07606 + 11.4764i) q^{68} +(2.18739 - 4.29300i) q^{69} +(13.1718 - 5.75763i) q^{70} +(0.960600 + 6.06499i) q^{71} +(0.0146928 - 0.0117372i) q^{72} +(1.33173 + 1.33173i) q^{73} +(-4.42400 + 0.299509i) q^{74} +(4.65105 - 7.29394i) q^{75} +(-0.449437 + 0.590957i) q^{76} +(-2.38524 + 15.0598i) q^{77} +(11.5226 - 6.88881i) q^{78} +(5.38411 - 5.38411i) q^{79} +(-1.51774 + 8.81456i) q^{80} -8.98001 q^{81} +(-1.51420 + 8.92789i) q^{82} +(6.44284 + 6.44284i) q^{83} +(15.5862 - 2.12013i) q^{84} +(1.64825 - 12.9346i) q^{85} +(-3.23591 - 0.814422i) q^{86} +(-5.23137 - 0.828567i) q^{87} +(-7.00789 - 6.39478i) q^{88} +(4.00873 - 2.04255i) q^{89} +(-0.0157198 + 0.0139621i) q^{90} -24.9419 q^{91} +(0.121877 - 5.56836i) q^{92} +(-3.86823 + 5.32416i) q^{93} +(-3.61924 - 6.05376i) q^{94} +(0.467316 - 0.686036i) q^{95} +(-4.23420 + 8.82376i) q^{96} +(8.70996 + 11.9882i) q^{97} +(-17.7717 - 7.59014i) 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 $

$2$	−1.37867	+	0.315075i	−0.974866	+	0.222792i
$2$	−1.37867	+	0.315075i	−0.974866	+	0.222792i
$3$	1.73013			0.998891			0.499446	−	0.866345i	$-0.333537\pi$
$3$	1.73013			0.998891			0.499446	+	0.866345i	$0.333537\pi$
$4$	1.80145	−	0.868769i	0.900727	−	0.434385i
$5$	−1.96065	+	1.07511i	−0.876828	+	0.480805i
$5$	−1.96065	+	1.07511i	−0.876828	+	0.480805i
$6$	−2.38528	+	0.545122i	−0.973785	+	0.222545i
$7$	4.32334	+	1.40474i	1.63407	+	0.530942i	0.975202	−	0.221316i	$-0.0710353\pi$
$7$	4.32334	+	1.40474i	1.63407	+	0.530942i	0.658869	+	0.752258i	$0.271035\pi$
$8$	−2.20988	+	1.76534i	−0.781311	+	0.624142i
$9$	−0.00664869			−0.00221623
$10$	2.36434	−	2.09998i	0.747670	−	0.664070i
$11$	0.524708	+	3.31288i	0.158205	+	0.998870i	0.931214	+	0.364474i	$0.118751\pi$
$11$	0.524708	+	3.31288i	0.158205	+	0.998870i	−0.773008	+	0.634396i	$0.781249\pi$
$12$	3.11675	−	1.50308i	0.899729	−	0.433903i
$13$	−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	$0.675231\pi$
$14$	−6.40306	−	0.574491i	−1.71129	−	0.153539i
$15$	−3.39217	+	1.86008i	−0.875855	+	0.480272i
$16$	2.49048	−	3.13010i	0.622620	−	0.782524i
$17$	−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	$0.949980\pi$
$18$	0.00916634	−	0.00209484i	0.00216053	−	0.000493758i
$19$	−0.330761	+	0.168531i	−0.0758819	+	0.0386637i	−0.491520	−	0.870866i	$-0.663558\pi$
$19$	−0.330761	+	0.168531i	−0.0758819	+	0.0386637i	0.415638	+	0.909530i	$0.363558\pi$
$20$	−2.59799	+	3.64012i	−0.580928	+	0.813955i
$21$	7.47995	+	2.43038i	1.63226	+	0.530353i
$22$	−1.76720	−	4.40204i	−0.376769	−	0.938517i
$23$	1.26429	−	2.48132i	0.263624	−	0.517390i	−0.720813	−	0.693129i	$-0.756231\pi$
$23$	1.26429	−	2.48132i	0.263624	−	0.517390i	0.984437	+	0.175739i	$0.0562315\pi$
$24$	−3.82338	+	3.05427i	−0.780445	+	0.623450i
$25$	2.68827	−	4.21583i	0.537653	−	0.843166i
$26$	6.65999	−	3.98167i	1.30613	−	0.780870i
$27$	−5.20189			−1.00111
$28$	9.00871	−	1.22541i	1.70249	−	0.231581i
$29$	−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	$0.641742\pi$
$30$	4.09062	−	3.63323i	0.746841	−	0.663334i
$31$	−2.23580	+	3.07732i	−0.401562	+	0.552703i	−0.961135	−	0.276078i	$-0.910965\pi$
$31$	−2.23580	+	3.07732i	−0.401562	+	0.552703i	0.559573	+	0.828781i	$0.310965\pi$
$32$	−2.44733	+	5.10006i	−0.432631	+	0.901571i
$33$	0.907813	+	5.73171i	0.158030	+	0.997762i
$34$	3.23906	−	7.58399i	0.555494	−	1.30064i
$35$	−9.98680	+	1.89388i	−1.68808	+	0.320125i
$36$	−0.0119773	+	0.00577618i	−0.00199622	+	0.000962696i
$37$	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
$40$	2.43486	−	5.83708i	0.384985	−	0.922923i
$41$	2.45027	−	5.91576i	0.382668	−	0.923886i
$41$	2.45027	−	5.91576i	0.382668	−	0.923886i
$42$	−11.0781	−	0.993945i	−1.70939	−	0.153369i
$43$	2.10232	+	1.07119i	0.320601	+	0.163355i	0.606883	−	0.794791i	$-0.292419\pi$
$43$	2.10232	+	1.07119i	0.320601	+	0.163355i	−0.286282	+	0.958145i	$0.592419\pi$
$44$	3.82336	+	5.51215i	0.576394	+	0.830987i
$45$	0.0130357	−	0.00714809i	0.00194325	−	0.00106557i
$46$	−0.961241	+	3.81926i	−0.141727	+	0.563119i
$47$	1.54117	+	4.74323i	0.224803	+	0.691871i	0.998312	+	0.0580861i	$0.0184998\pi$
$47$	1.54117	+	4.74323i	0.224803	+	0.691871i	−0.773509	+	0.633785i	$0.781500\pi$
$48$	4.30886	−	5.41548i	0.621930	−	0.781657i
$49$	11.0549	+	8.03185i	1.57927	+	1.14741i
$50$	−2.37792	+	6.65924i	−0.336289	+	0.941759i
$51$	−5.93013	+	8.16212i	−0.830384	+	1.14293i
$52$	−7.92739	+	7.58780i	−1.09933	+	1.05224i
$53$	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	$0.716529\pi$
$54$	7.17169	−	1.63899i	0.975943	−	0.223038i
$55$	−4.59048	−	5.93126i	−0.618980	−	0.799771i
$56$	−12.0339	+	4.52786i	−1.60810	+	0.605061i
$57$	−0.572260	+	0.291581i	−0.0757977	+	0.0386209i
$58$	4.31955	−	0.292438i	0.567185	−	0.0383990i
$59$	−0.610546	−	1.87907i	−0.0794863	−	0.244634i	0.903415	−	0.428767i	$-0.141052\pi$
$59$	−0.610546	−	1.87907i	−0.0794863	−	0.244634i	−0.982901	+	0.184134i	$0.941052\pi$
$60$	−4.49486	+	6.29787i	−0.580284	+	0.813052i
$61$	−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	$0.685329\pi$
$62$	2.11284	−	4.94705i	0.268331	−	0.628276i
$63$	−0.0287446	−	0.00933968i	−0.00362148	−	0.00117669i
$64$	1.76715	−	7.80238i	0.220894	−	0.975298i
$65$	8.40823	−	8.93445i	1.04291	−	1.10818i
$66$	−3.05749	−	7.61610i	−0.376352	−	0.937477i
$67$	8.02513	−	5.83060i	0.980425	−	0.712321i	0.0226218	−	0.999744i	$-0.492799\pi$
$67$	8.02513	−	5.83060i	0.980425	−	0.712321i	0.957804	+	0.287423i	$0.0927987\pi$
$68$	−2.07606	+	11.4764i	−0.251759	+	1.39171i
$69$	2.18739	−	4.29300i	0.263331	−	0.516817i
$70$	13.1718	−	5.75763i	1.57433	−	0.688169i
$71$	0.960600	+	6.06499i	0.114002	+	0.719782i	0.976787	+	0.214211i	$0.0687180\pi$
$71$	0.960600	+	6.06499i	0.114002	+	0.719782i	−0.862785	+	0.505571i	$0.831282\pi$
$72$	0.0146928	−	0.0117372i	0.00173157	−	0.00138324i
$73$	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	$0.714846\pi$
$74$	−4.42400	+	0.299509i	−0.514280	+	0.0348172i
$75$	4.65105	−	7.29394i	0.537057	−	0.842231i
$76$	−0.449437	+	0.590957i	−0.0515540	+	0.0677874i
$77$	−2.38524	+	15.0598i	−0.271823	+	1.71622i
$78$	11.5226	−	6.88881i	1.30468	−	0.780004i
$79$	5.38411	−	5.38411i	0.605760	−	0.605760i	−0.336075	−	0.941835i	$-0.609100\pi$
$79$	5.38411	−	5.38411i	0.605760	−	0.605760i	0.941835	+	0.336075i	$0.109100\pi$
$80$	−1.51774	+	8.81456i	−0.169689	+	0.985498i
$81$	−8.98001			−0.997779
$82$	−1.51420	+	8.92789i	−0.167215	+	0.985920i
$83$	6.44284	+	6.44284i	0.707193	+	0.707193i	0.965944	−	0.258751i	$-0.0833109\pi$
$83$	6.44284	+	6.44284i	0.707193	+	0.707193i	−0.258751	+	0.965944i	$0.583311\pi$
$84$	15.5862	−	2.12013i	1.70060	−	0.231325i
$85$	1.64825	−	12.9346i	0.178778	−	1.40296i
$86$	−3.23591	−	0.814422i	−0.348937	−	0.0878214i
$87$	−5.23137	−	0.828567i	−0.560862	−	0.0888317i
$88$	−7.00789	−	6.39478i	−0.747044	−	0.681686i
$89$	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	$0.273360\pi$
$90$	−0.0157198	+	0.0139621i	−0.00165701	+	0.00147173i
$91$	−24.9419			−2.61462
$92$	0.121877	−	5.56836i	0.0127066	−	0.580542i
$93$	−3.86823	+	5.32416i	−0.401117	+	0.552090i
$94$	−3.61924	−	6.05376i	−0.373296	−	0.624398i
$95$	0.467316	−	0.686036i	0.0479456	−	0.0703858i
$96$	−4.23420	+	8.82376i	−0.432151	+	0.900572i
$97$	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	$0.528952\pi$
$98$	−17.7717	−	7.59014i	−1.79521	−	0.766720i
$99$	−0.00348862	−	0.0220263i	−0.000350620	−	0.00221373i
$100$	1.18021	−	9.93011i	0.118021	−	0.993011i
$101$	−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	$0.640749\pi$
$102$	5.60400	−	13.1213i	0.554878	−	1.29920i
$103$	−1.66292	−	3.26366i	−0.163852	−	0.321578i	0.794452	−	0.607326i	$-0.207758\pi$
$103$	−1.66292	−	3.26366i	−0.163852	−	0.321578i	−0.958305	+	0.285748i	$0.907758\pi$
$104$	8.53851	−	12.9588i	0.837270	−	1.27071i
$105$	−17.2785	+	3.27667i	−1.68621	+	0.319770i
$106$	−4.02088	−	3.51096i	−0.390542	−	0.341015i
$107$	6.78585	+	13.3180i	0.656012	+	1.28750i	0.944026	+	0.329871i	$0.107005\pi$
$107$	6.78585	+	13.3180i	0.656012	+	1.28750i	−0.288014	+	0.957626i	$0.592995\pi$
$108$	−9.37098	+	4.51925i	−0.901723	+	0.434865i
$109$	−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	$0.945176\pi$
$110$	8.19755	+	6.73089i	0.781605	+	0.641765i
$111$	5.35787	+	0.848603i	0.508546	+	0.0805458i
$112$	15.1642	−	10.0340i	1.43288	−	0.948125i
$113$	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
$116$	−5.86309	+	1.76416i	−0.544374	+	0.163798i
$117$	0.0346943	−	0.0112729i	0.00320749	−	0.00104218i
$118$	1.43379	+	2.39824i	0.131991	+	0.220776i
$119$	−21.4456	+	15.5811i	−1.96591	+	1.42832i
$120$	4.21262	−	10.0989i	0.384558	−	0.921900i
$121$	−0.238209	+	0.0773987i	−0.0216553	+	0.00703625i
$122$	5.82776	+	0.522874i	0.527620	+	0.0473388i
$123$	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
$126$	0.0425720	+	0.00381961i	0.00379261	+	0.000340278i
$127$	−3.30155	+	20.8452i	−0.292965	+	1.84971i	0.200176	+	0.979760i	$0.435849\pi$
$127$	−3.30155	+	20.8452i	−0.292965	+	1.84971i	−0.493141	+	0.869950i	$0.664151\pi$
$128$	0.0220176	+	11.3137i	0.00194610	+	0.999998i
$129$	3.63729	+	1.85329i	0.320246	+	0.163173i
$130$	−8.77713	+	14.9669i	−0.769806	+	1.31268i
$131$	−14.3433	−	10.4210i	−1.25318	−	0.910490i	−0.254779	−	0.966999i	$-0.582003\pi$
$131$	−14.3433	−	10.4210i	−1.25318	−	0.910490i	−0.998402	+	0.0565095i	$0.982003\pi$
$132$	6.61492	+	9.53673i	0.575755	+	0.830066i
$133$	−1.66674	+	0.263985i	−0.144525	+	0.0228904i
$134$	−9.22692	+	10.5670i	−0.797084	+	0.912848i
$135$	10.1991	−	5.59262i	0.877797	−	0.481336i
$136$	−0.753718	−	16.4762i	−0.0646308	−	1.41282i
$137$		−	6.17111i		−	0.527233i	−0.964628	−	0.263617i	$-0.915085\pi$
$137$		−	6.17111i		−	0.527233i	0.964628	−	0.263617i	$-0.0849154\pi$
$138$	−1.66307	+	6.60782i	−0.141570	+	0.562495i
$139$	4.17600	−	12.8524i	0.354204	−	1.09013i	−0.602266	−	0.798296i	$-0.705735\pi$
$139$	4.17600	−	12.8524i	0.354204	−	1.09013i	0.956470	−	0.291832i	$-0.0942648\pi$
$140$	−16.3454	+	12.0880i	−1.38144	+	1.02162i
$141$	2.66642	+	8.20641i	0.224553	+	0.691104i
$142$	−3.23528	−	8.05895i	−0.271499	−	0.676292i
$143$	−8.35503	−	16.3977i	−0.698683	−	1.37124i
$144$	−0.0165584	+	0.0208110i	−0.00137987	+	0.00173425i
$145$	6.44325	−	2.31184i	0.535083	−	0.191988i
$146$	−2.25562	−	1.41642i	−0.186676	−	0.117224i
$147$	19.1264	+	13.8962i	1.57752	+	1.14614i
$148$	6.00486	−	1.80682i	0.493597	−	0.148519i
$149$	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	$-0.166177\pi$
$150$	−4.11412	+	11.5214i	−0.335917	+	0.940715i
$151$	3.17225	−	6.22588i	0.258154	−	0.506655i	−0.725158	−	0.688582i	$-0.758233\pi$
$151$	3.17225	−	6.22588i	0.258154	−	0.506655i	0.983312	+	0.181927i	$0.0582334\pi$
$152$	0.433429	−	0.956341i	0.0351557	−	0.0775695i
$153$	0.0227888	−	0.0313661i	0.00184236	−	0.00253580i
$154$	−1.45652	−	21.5140i	−0.117370	−	1.73365i
$155$	1.07515	−	8.43727i	0.0863585	−	0.677698i
$156$	−13.7154	+	13.1279i	−1.09811	+	1.05107i
$157$	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	$0.0293050\pi$
$158$	−5.72651	+	9.11931i	−0.455576	+	0.725493i
$159$	3.83850	+	5.28325i	0.304413	+	0.418989i
$160$	−0.684786	−	12.6306i	−0.0541371	−	0.998534i
$161$	8.95158	−	8.95158i	0.705484	−	0.705484i
$162$	12.3805	−	2.82938i	0.972701	−	0.222297i
$163$	10.5950	+	10.5950i	0.829861	+	0.829861i	0.987497	−	0.157636i	$-0.0503874\pi$
$163$	10.5950	+	10.5950i	0.829861	+	0.829861i	−0.157636	+	0.987497i	$0.550387\pi$
$164$	−0.725382	−	12.7857i	−0.0566428	−	0.998395i
$165$	−7.94213	−	10.2618i	−0.618294	−	0.798884i
$166$	−10.9125	−	6.85256i	−0.846975	−	0.531862i
$167$		−	16.4442i		−	1.27249i	−0.771488	−	0.636244i	$-0.780487\pi$
$167$		−	16.4442i		−	1.27249i	0.771488	−	0.636244i	$-0.219513\pi$
$168$	−20.8203	+	7.83379i	−1.60632	+	0.604390i
$169$	13.8379	−	10.0538i	1.06445	−	0.773369i
$170$	1.80299	+	18.3519i	0.138283	+	1.40752i
$171$	0.00219913	−	0.00112051i	0.000168172	−	8.56878e-5i
$172$	4.71786	+	0.103262i	0.359733	+	0.00787363i
$173$	−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	$0.864124\pi$
$174$	7.47338	−	0.505956i	0.566556	−	0.0383564i
$175$	17.5444	−	14.4502i	1.32624	−	1.09233i
$176$	11.6764	+	6.60826i	0.880142	+	0.498117i
$177$	−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	0.776161	−	0.630535i	$-0.217165\pi$
$179$	17.6535	+	2.79605i	1.31949	+	0.208986i	0.543327	+	0.839521i	$0.317165\pi$
$180$	0.0172732	−	0.0242020i	0.00128747	−	0.00180391i
$181$	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	$0.587786\pi$
$182$	34.3866	−	7.85858i	2.54891	−	0.582517i
$183$	−6.80789	−	2.21202i	−0.503254	−	0.163517i
$184$	1.58643	+	7.71532i	0.116953	+	0.568781i
$185$	−6.59905	+	2.36774i	−0.485172	+	0.174080i
$186$	3.65550	−	8.55904i	0.268034	−	0.627579i
$187$	−17.4274	−	8.87970i	−1.27442	−	0.649348i
$188$	6.89712	+	7.20580i	0.503024	+	0.525537i
$189$	−22.4896	−	7.30731i	−1.63588	−	0.531528i
$190$	−0.428121	+	1.09306i	−0.0310591	+	0.0792986i
$191$	12.4200	−	12.4200i	0.898676	−	0.898676i	−0.0966428	−	0.995319i	$-0.530810\pi$
$191$	12.4200	−	12.4200i	0.898676	−	0.898676i	0.995319	+	0.0966428i	$0.0308104\pi$
$192$	3.05741	−	13.4991i	0.220649	−	0.974216i
$193$	−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	$0.875630\pi$
$194$	−15.7853	−	13.7835i	−1.13332	−	0.989598i
$195$	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	$0.358351\pi$
$198$	0.0117496	+	0.0292678i	0.000835007	+	0.00207997i
$199$	6.42371	−	12.6072i	0.455365	−	0.893704i	−0.543172	−	0.839622i	$-0.682777\pi$
$199$	6.42371	−	12.6072i	0.455365	−	0.893704i	0.998536	−	0.0540823i	$-0.0172233\pi$
$200$	1.50162	+	14.0622i	0.106180	+	0.994347i
$201$	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
$210$	22.7889	−	9.96146i	1.57258	−	0.687406i
$211$	−10.0218	−	5.10637i	−0.689930	−	0.351537i	0.0736196	−	0.997286i	$-0.476545\pi$
$211$	−10.0218	−	5.10637i	−0.689930	−	0.351537i	−0.763549	+	0.645750i	$0.776545\pi$
$212$	6.64968	+	3.57358i	0.456702	+	0.245434i
$213$	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
$216$	11.4956	−	9.18311i	0.782175	−	0.624831i
$217$	−13.9890	+	10.1636i	−0.949634	+	0.689949i
$218$	12.8430	−	20.4522i	0.869841	−	1.38520i
$219$	2.30407	+	2.30407i	0.155695	+	0.155695i
$220$	−13.4224	−	6.69683i	−0.904941	−	0.451500i
$221$	9.88701	−	30.4291i	0.665072	−	2.04688i
$222$	−7.65410	+	0.518190i	−0.513709	+	0.0347786i
$223$	0.274262	−	0.538270i	0.0183660	−	0.0360452i	−0.881641	−	0.471920i	$-0.843561\pi$
$223$	0.274262	−	0.538270i	0.0183660	−	0.0360452i	0.900007	+	0.435875i	$0.143561\pi$
$224$	−17.7449	+	18.6114i	−1.18563	+	1.24353i
$225$	−0.0178735	+	0.0280297i	−0.00119156	+	0.00186865i
$226$	−24.7154	+	9.92204i	−1.64405	+	0.660005i
$227$	1.35004	−	4.15500i	0.0896054	−	0.275777i	−0.896205	−	0.443640i	$-0.853687\pi$
$227$	1.35004	−	4.15500i	0.0896054	−	0.275777i	0.985810	+	0.167863i	$0.0536868\pi$
$228$	−0.777585	+	1.02243i	−0.0514968	+	0.0677123i
$229$	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	$0.272569\pi$
$230$	−2.22148	−	8.52166i	−0.146480	−	0.561902i
$231$	−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	$0.0570299\pi$
$234$	−0.0442802	+	0.0264729i	−0.00289469	+	0.00173059i
$235$	−8.12120	−	7.64287i	−0.529768	−	0.498566i
$236$	−2.73235	−	2.85463i	−0.177861	−	0.185821i
$237$	9.31522	−	9.31522i	0.605088	−	0.605088i
$238$	24.6571	−	28.2382i	1.59828	−	1.83041i
$239$	10.7221	+	21.0433i	0.693556	+	1.36118i	0.921834	+	0.387585i	$0.126690\pi$
$239$	10.7221	+	21.0433i	0.693556	+	1.36118i	−0.228278	+	0.973596i	$0.573310\pi$
$240$	−2.62589	+	15.2503i	−0.169501	+	0.984405i
$241$	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	$0.696349\pi$
$242$	0.304025	−	0.181761i	0.0195434	−	0.0116840i
$243$	0.0690951			0.00443245
$244$	−8.19929	+	1.11531i	−0.524906	+	0.0714006i
$245$	−30.3099	−	3.86236i	−1.93643	−	0.246757i
$246$	−2.61976	+	15.4464i	−0.167030	+	0.984827i
$247$	1.44024	−	1.44024i	0.0916403	−	0.0916403i
$248$	−0.491651	−	10.7475i	−0.0312199	−	0.682464i
$249$	11.1469	+	11.1469i	0.706409	+	0.706409i
$250$	−2.49716	−	15.6129i	−0.157934	−	0.987450i
$251$	2.22455	−	1.61623i	0.140412	−	0.102016i	−0.515362	−	0.856973i	$-0.672342\pi$
$251$	2.22455	−	1.61623i	0.140412	−	0.102016i	0.655774	+	0.754957i	$0.272342\pi$
$252$	−0.0598961	+	0.00814739i	−0.00377310	+	0.000513238i
$253$	8.88368	+	2.88648i	0.558512	+	0.181472i
$254$	−2.01606	−	29.7788i	−0.126499	−	1.86849i
$255$	2.85168	−	22.3786i	0.178579	−	1.40140i
$256$	−3.59502	−	15.5909i	−0.224689	−	0.974431i
$257$	−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	$0.810643\pi$
$258$	−5.59855	−	1.40906i	−0.348551	−	0.0877240i
$259$	12.6995	+	6.47073i	0.789110	+	0.402072i
$260$	7.38506	−	23.3998i	0.458002	−	1.45120i
$261$	0.0201035	+	0.00318409i	0.00124438	+	0.000197090i
$262$	23.0581	+	9.84792i	1.42453	+	0.608407i
$263$	−1.46151	+	2.01160i	−0.0901205	+	0.124040i	−0.851696	−	0.524035i	$-0.824426\pi$
$263$	−1.46151	+	2.01160i	−0.0901205	+	0.124040i	0.761576	+	0.648076i	$0.224426\pi$
$264$	−12.1246	−	11.0638i	−0.746216	−	0.680930i
$265$	−7.63297	−	3.60190i	−0.468889	−	0.221263i
$266$	2.21470	−	0.889097i	0.135792	−	0.0545140i
$267$	6.93563	−	3.53388i	0.424454	−	0.216270i
$268$	9.39146	−	17.4755i	0.573675	−	1.06749i
$269$	−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	$0.450903\pi$
$270$	−12.2990	+	10.9238i	−0.748496	+	0.664804i
$271$	−23.1925	−	7.53571i	−1.40885	−	0.457762i	−0.496806	−	0.867862i	$-0.665494\pi$
$271$	−23.1925	−	7.53571i	−1.40885	−	0.457762i	−0.912041	+	0.410100i	$0.865494\pi$
$272$	6.23038	+	22.4778i	0.377772	+	1.36291i
$273$	−43.1527			−2.61172
$274$	1.94436	+	8.50791i	0.117463	+	0.513982i
$275$	15.3771	+	6.69382i	0.927273	+	0.403652i
$276$	0.210863	−	9.63399i	0.0126925	−	0.579898i
$277$	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	$0.921218\pi$
$278$	−1.70784	+	19.0350i	−0.102430	+	1.14164i
$279$	0.0148652	−	0.0204601i	0.000889954	−	0.00122492i
$280$	18.7263	−	21.8154i	1.11911	−	1.30372i
$281$	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	$0.0599736\pi$
$282$	−6.26175	−	10.4738i	−0.372882	−	0.623705i
$283$	9.01667	+	1.42810i	0.535985	+	0.0848917i	0.418559	−	0.908190i	$-0.362535\pi$
$283$	9.01667	+	1.42810i	0.535985	+	0.0848917i	0.117427	+	0.993082i	$0.462535\pi$
$284$	6.99955	+	10.0913i	0.415347	+	0.598806i
$285$	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
$288$	0.0162715	−	0.0339087i	0.000958810	−	0.00199809i
$289$	−5.25459	−	16.1720i	−0.309094	−	0.951292i
$290$	−8.15471	+	5.21737i	−0.478861	+	0.306374i
$291$	15.0694	+	20.7412i	0.883382	+	1.21587i
$292$	3.55603	+	1.24209i	0.208101	+	0.0726878i
$293$	−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	$-0.264163\pi$
$294$	−30.7473	−	13.1319i	−1.79322	−	0.765870i
$295$	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
$298$	1.46483	+	21.6367i	0.0848551	+	1.25338i
$299$	−2.39029	+	15.0917i	−0.138234	+	0.872774i
$300$	2.04191	−	17.1804i	0.117890	−	0.991910i
$301$	7.58433	+	7.58433i	0.437154	+	0.437154i
$302$	−2.41185	+	9.58293i	−0.138787	+	0.551435i
$303$	−24.5275	+	12.4974i	−1.40907	+	0.717956i
$304$	−0.296235	+	1.45504i	−0.0169902	+	0.0834522i
$305$	9.08951	−	1.72372i	0.520464	−	0.0987000i
$306$	−0.0215355	+	0.0504236i	−0.00123110	+	0.00288253i
$307$	7.20162	−	3.66941i	0.411018	−	0.209424i	−0.236241	−	0.971695i	$-0.575915\pi$
$307$	7.20162	−	3.66941i	0.411018	−	0.209424i	0.647259	+	0.762270i	$0.275915\pi$
$308$	8.78658	+	29.2017i	0.500662	+	1.66392i
$309$	−2.87707	−	5.64656i	−0.163671	−	0.321222i
$310$	1.17609	+	11.9710i	0.0667977	+	0.679905i
$311$	−19.1762	+	3.03721i	−1.08738	+	0.172225i	−0.674292	−	0.738465i	$-0.735551\pi$
$311$	−19.1762	+	3.03721i	−1.08738	+	0.172225i	−0.413091	+	0.910690i	$0.635551\pi$
$312$	14.7727	−	22.4204i	0.836342	−	1.26930i
$313$	−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	$0.411428\pi$
$314$	−0.697609	+	7.77529i	−0.0393684	+	0.438785i
$315$	0.0663992	−	0.0125918i	0.00374117	−	0.000709470i
$316$	5.02168	−	14.3768i	0.282492	−	0.808757i
$317$	−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	$0.913459\pi$
$318$	−6.95664	−	6.07443i	−0.390109	−	0.340637i
$319$		−	10.2684i		−	0.574919i
$320$	4.92367	+	17.1976i	0.275242	+	0.961375i
$321$	11.7404	+	23.0418i	0.655285	+	1.28607i
$322$	−9.52084	+	15.1617i	−0.530576	+	0.844928i
$323$	0.338636	−	2.13806i	0.0188422	−	0.118965i
$324$	−16.1771	+	7.80156i	−0.898727	+	0.433420i
$325$	−6.88002	+	26.5571i	−0.381635	+	1.47312i
$326$	−17.9451	−	11.2687i	−0.993889	−	0.624117i
$327$	−20.8916	+	20.8916i	−1.15531	+	1.15531i
$328$	5.02852	+	17.3987i	0.277653	+	0.960681i
$329$			22.6716i			1.24992i
$330$	14.1828	+	11.6453i	0.780739	+	0.641054i
$331$	−22.7143	−	22.7143i	−1.24849	−	1.24849i	−0.956385	−	0.292108i	$-0.905643\pi$
$331$	−22.7143	−	22.7143i	−1.24849	−	1.24849i	−0.292108	−	0.956385i	$-0.594357\pi$
$332$	17.2038	+	6.00914i	0.944182	+	0.329794i
$333$	−0.0205897	−	0.00326108i	−0.00112831	−	0.000178706i
$334$	5.18115	+	22.6711i	0.283500	+	1.24050i
$335$	−9.46589	+	20.0597i	−0.517177	+	1.09598i
$336$	26.2360	−	17.3602i	1.43129	−	0.947074i
$337$	−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	$0.327357\pi$
$338$	−15.9101	+	18.2208i	−0.865397	+	0.991083i
$339$	32.1809	−	5.09696i	1.74783	−	0.276829i
$340$	−8.26795	−	24.7331i	−0.448393	−	1.34134i
$341$	−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
$344$	−6.53690	+	1.34412i	−0.352446	+	0.0724699i
$345$	0.326754	+	10.7688i	0.0175919	+	0.579770i
$346$	11.0552	+	6.94217i	0.594332	+	0.373213i
$347$	−3.20117	+	9.85220i	−0.171848	+	0.528894i	−0.999476	−	0.0323839i	$-0.989690\pi$
$347$	−3.20117	+	9.85220i	−0.171848	+	0.528894i	0.827627	+	0.561278i	$0.189690\pi$
$348$	−10.1439	+	3.05223i	−0.543771	+	0.163616i
$349$	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	$-0.192104\pi$
$350$	−19.6351	+	25.4498i	−1.04954	+	1.36035i
$351$	27.1446	−	8.81982i	1.44887	−	0.470767i
$352$	−18.1800	−	5.43166i	−0.968997	−	0.289508i
$353$	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	$0.819940\pi$
$354$	2.48064	+	4.14927i	0.131845	+	0.220531i
$355$	−8.40394	−	10.8585i	−0.446035	−	0.576312i
$356$	5.44705	−	7.16223i	0.288693	−	0.379597i
$357$	−37.1036	+	26.9574i	−1.96373	+	1.42673i
$358$	−25.2193	+	1.70737i	−1.33288	+	0.0902376i
$359$	1.28820	+	0.935930i	0.0679884	+	0.0493965i	0.621260	−	0.783604i	$-0.286621\pi$
$359$	1.28820	+	0.935930i	0.0679884	+	0.0493965i	−0.553272	+	0.833001i	$0.686621\pi$
$360$	−0.0161886	+	0.0388089i	−0.000853215	+	0.00204541i
$361$	−11.0869	+	15.2598i	−0.583522	+	0.803149i
$362$	−12.8690	−	32.0562i	−0.676380	−	1.68484i
$363$	−0.412132	+	0.133910i	−0.0216313	+	0.00702845i
$364$	−44.9317	+	21.6688i	−2.35506	+	1.13575i
$365$	−4.04282	−	1.17930i	−0.211611	−	0.0617272i
$366$	10.0828	+	0.904641i	0.527035	+	0.0472863i
$367$	−10.9496	+	21.4899i	−0.571566	+	1.12176i	0.406536	+	0.913635i	$0.366737\pi$
$367$	−10.9496	+	21.4899i	−0.571566	+	1.12176i	−0.978102	+	0.208126i	$0.933263\pi$
$368$	−4.61806	−	10.1370i	−0.240733	−	0.528429i
$369$	−0.0162911	+	0.0393320i	−0.000848079	+	0.00204754i
$370$	8.35189	−	5.34353i	0.434194	−	0.277797i
$371$	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	$0.915331\pi$
$374$	26.8244	+	6.75122i	1.38706	+	0.349097i
$375$	−1.27727	+	19.3012i	−0.0659578	+	0.996711i
$376$	−11.7792	−	7.76129i	−0.607467	−	0.400258i
$377$	16.5902	−	2.62763i	0.854440	−	0.135330i
$378$	33.3080	+	2.98844i	1.71318	+	0.153709i
$379$	−4.04407	−	2.93819i	−0.207730	−	0.150924i	0.479056	−	0.877784i	$-0.340979\pi$
$379$	−4.04407	−	2.93819i	−0.207730	−	0.150924i	−0.686786	+	0.726860i	$0.740979\pi$
$380$	0.245842	−	1.64185i	0.0126114	−	0.0842253i
$381$	−5.71211	+	36.0649i	−0.292640	+	1.84766i
$382$	−13.2098	+	21.0362i	−0.675871	+	1.07631i
$383$			22.8153i			1.16581i	0.812542	+	0.582903i	$0.198083\pi$
$383$			22.8153i			1.16581i	−0.812542	+	0.582903i	$0.801917\pi$
$384$	0.0380933	+	19.5742i	0.00194394	+	0.998889i
$385$	−11.5144	−	32.0913i	−0.586826	−	1.63552i
$386$	6.96654	+	6.08307i	0.354588	+	0.309620i
$387$	−0.0139777	−	0.00712199i	−0.000710526	−	0.000362031i
$388$	26.1056	+	14.0293i	1.32531	+	0.712230i
$389$	−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	$0.995580\pi$
$390$	−15.1856	+	25.8946i	−0.768952	+	1.31123i
$391$	7.37249	+	14.4693i	0.372843	+	0.731746i
$392$	−38.6090	+	1.76620i	−1.95005	+	0.0892065i
$393$	−24.8158	−	18.0297i	−1.25179	−	0.909480i
$394$	−10.4614	+	4.19976i	−0.527039	+	0.211581i
$395$	−4.76781	+	16.3449i	−0.239895	+	0.822399i
$396$	−0.0254204	−	0.0366486i	−0.00127742	−	0.00184166i
$397$	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	$0.825968\pi$
$398$	−4.88394	+	19.4052i	−0.244810	+	0.972693i
$399$	−2.88367	+	0.456729i	−0.144364	+	0.0228651i
$400$	−6.50088	−	18.9140i	−0.325044	−	0.945699i
$401$		−	31.0429i		−	1.55021i	−0.631833	−	0.775105i	$-0.717697\pi$
$401$		−	31.0429i		−	1.55021i	0.631833	−	0.775105i	$-0.282303\pi$
$402$	−15.9638	+	18.2823i	−0.796200	+	0.911836i
$403$	6.44931	−	19.8489i	0.321263	−	0.988746i
$404$	−19.2632	+	25.3289i	−0.958380	+	1.26016i
$405$	17.6066	−	9.65452i	0.874880	−	0.479737i
$406$	19.0857	+	4.80353i	0.947208	+	0.238395i
$407$			10.5167i			0.521292i
$408$	−1.30403	−	28.5060i	−0.0645591	−	1.41126i
$409$		−	10.9610i		−	0.541985i	−0.962582	−	0.270992i	$-0.912648\pi$
$409$		−	10.9610i		−	0.541985i	0.962582	−	0.270992i	$-0.0873518\pi$
$410$	−6.62968	−	19.1324i	−0.327416	−	0.944880i
$411$		−	10.6768i		−	0.526649i
$412$	−5.83104	−	4.43465i	−0.287275	−	0.218479i
$413$		−	8.98151i		−	0.441951i
$414$	0.00639099	−	0.0253931i	0.000314100	−	0.00124800i
$415$	−19.5589	−	5.70535i	−0.960108	−	0.280065i
$416$	4.12355	−	30.7627i	0.202174	−	1.50826i
$417$	7.22503	−	22.2364i	0.353811	−	1.08892i
$418$	1.32640	+	1.15819i	0.0648766	+	0.0566491i
$419$			7.32461i			0.357831i	0.983864	+	0.178915i	$0.0572588\pi$
$419$			7.32461i			0.357831i	−0.983864	+	0.178915i	$0.942741\pi$
$420$	−28.2797	+	20.9138i	−1.37991	+	1.02049i
$421$	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	$0.262768\pi$
$422$	15.4256	+	3.88236i	0.750908	+	0.188990i
$423$	−0.0102468	−	0.0315363i	−0.000498214	−	0.00153335i
$424$	−10.2936	−	2.83163i	−0.499904	−	0.137516i
$425$	10.6745	+	27.1323i	0.517791	+	1.31611i
$426$	−5.59745	−	13.9430i	−0.271198	−	0.675542i
$427$	−15.2159	−	11.0550i	−0.736351	−	0.534990i
$428$	23.7946	+	18.0964i	1.15016	+	0.874722i
$429$	−14.4553	−	28.3701i	−0.697908	−	1.36972i
$430$	7.22007	−	1.88218i	0.348183	−	0.0907666i
$431$	0.738065	−	2.27153i	0.0355513	−	0.109416i	−0.931706	−	0.363213i	$-0.881680\pi$
$431$	0.738065	−	2.27153i	0.0355513	−	0.109416i	0.967257	+	0.253797i	$0.0816797\pi$
$432$	−12.9552	+	16.2824i	−0.623308	+	0.783389i
$433$	−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	$0.749296\pi$
$434$	16.0839	−	18.4198i	0.772050	−	0.884179i
$435$	11.1477	−	3.99978i	0.534490	−	0.191775i
$436$	−11.2623	+	32.2434i	−0.539367	+	1.54418i
$437$			1.03380i			0.0494532i
$438$	−3.90251	−	2.45060i	−0.186469	−	0.117094i
$439$	−4.05470	+	25.6004i	−0.193520	+	1.22184i	0.679324	+	0.733839i	$0.262273\pi$
$439$	−4.05470	+	25.6004i	−0.193520	+	1.22184i	−0.872844	+	0.488000i	$0.837727\pi$
$440$	20.6151	+	5.00362i	0.982786	+	0.238538i
$441$	−0.0735006	−	0.0534013i	−0.00350003	−	0.00254292i
$442$	−4.04345	+	45.0668i	−0.192327	+	2.14361i
$443$	1.50715	−	0.238709i	0.0716069	−	0.0113414i	−0.120528	−	0.992710i	$-0.538459\pi$
$443$	1.50715	−	0.238709i	0.0716069	−	0.0113414i	0.192135	+	0.981368i	$0.438459\pi$
$444$	10.3892	−	3.12603i	0.493049	−	0.148355i
$445$	−5.66374	+	8.31456i	−0.268487	+	0.394148i
$446$	−0.208521	+	0.828509i	−0.00987376	+	0.0392310i
$447$	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	$-0.467267\pi$
$450$	0.0158101	−	0.0442752i	0.000745295	−	0.00208715i
$451$	20.8838	+	5.01339i	0.983382	+	0.236071i
$452$	30.9482	−	21.4664i	1.45568	−	1.00970i
$453$	5.48840	−	10.7716i	0.257867	−	0.506093i
$454$	−0.552121	+	6.15373i	−0.0259123	+	0.288809i
$455$	48.9022	−	26.8153i	2.29257	−	1.25712i
$456$	0.749888	−	1.65459i	0.0351167	−	0.0774835i
$457$	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	$0.136747\pi$
$458$	−21.0120	+	8.43530i	−0.981826	+	0.394156i
$459$	17.8298	−	24.5406i	0.832224	−	1.14546i
$460$	5.74766	+	11.0486i	0.267986	+	0.515144i
$461$	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	$0.535976\pi$
$462$	−2.51997	−	37.2220i	−0.117239	−	1.73172i
$463$	−24.7162	+	17.9574i	−1.14866	+	0.834550i	−0.988302	−	0.152509i	$-0.951265\pi$
$463$	−24.7162	+	17.9574i	−1.14866	+	0.834550i	−0.160357	+	0.987059i	$0.551265\pi$
$464$	−9.02944	+	8.27172i	−0.419181	+	0.384005i
$465$	1.86016	−	14.5976i	0.0862628	−	0.676947i
$466$	−32.6381	+	19.5127i	−1.51193	+	0.903906i
$467$	−6.55847	−	12.8717i	−0.303490	−	0.595632i	0.688016	−	0.725696i	$-0.258482\pi$
$467$	−6.55847	−	12.8717i	−0.303490	−	0.595632i	−0.991506	+	0.130063i	$0.958482\pi$
$468$	0.0527067	−	0.0504489i	0.00243637	−	0.00233200i
$469$	42.8859	−	13.9345i	1.98029	−	0.643434i
$470$	13.6045	+	7.97820i	0.627530	+	0.368007i
$471$	2.95123	−	9.08296i	0.135986	−	0.418521i
$472$	4.66643	+	3.07470i	0.214790	+	0.141524i
$473$	−2.44561	+	7.52680i	−0.112449	+	0.346083i
$474$	−9.90760	+	15.7776i	−0.455071	+	0.724689i
$475$	−0.178675	+	1.84749i	−0.00819819	+	0.0847687i
$476$	−25.0968	+	46.6999i	−1.15031	+	2.14049i
$477$	−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	0.240735	−	0.970591i	$-0.422612\pi$
$479$	−8.81985	−	4.49394i	−0.402989	−	0.205333i	−0.643724	+	0.765258i	$0.722612\pi$
$480$	−1.18477	−	21.8525i	−0.0540770	−	0.997426i
$481$	−16.9914	+	2.69117i	−0.774741	+	0.122707i
$482$	−10.5808	−	9.23896i	−0.481941	−	0.420823i
$483$	15.4874	−	15.4874i	0.704701	−	0.704701i
$484$	−0.361881	+	0.346379i	−0.0164491	+	0.0157445i
$485$	−29.9658	−	14.1405i	−1.36068	−	0.642087i
$486$	−0.0952592	+	0.0217702i	−0.00432105	+	0.000987515i
$487$	−18.8943	−	2.99256i	−0.856181	−	0.135606i	−0.287114	−	0.957897i	$-0.592696\pi$
$487$	−18.8943	−	2.99256i	−0.856181	−	0.135606i	−0.569068	+	0.822291i	$0.692696\pi$
$488$	10.9527	−	4.12104i	0.495805	−	0.186551i
$489$	18.3307	+	18.3307i	0.828941	+	0.828941i
$490$	43.0042	−	4.22498i	1.94273	−	0.190865i
$491$			21.2787i			0.960295i	0.877188	+	0.480147i	$0.159417\pi$
$491$			21.2787i			0.960295i	−0.877188	+	0.480147i	$0.840583\pi$
$492$	−1.25500	−	22.1209i	−0.0565800	−	0.997288i
$493$	12.6232	−	12.6232i	0.568518	−	0.568518i
$494$	−1.53183	+	2.43940i	−0.0689203	+	0.109754i
$495$	0.0305207	+	0.0394351i	0.00137180	+	0.00177248i
$496$	4.06408	+	14.6623i	0.182483	+	0.658356i
$497$	−4.36673	+	27.5704i	−0.195875	+	1.23670i
$498$	−18.8801	−	11.8558i	−0.846036	−	0.531272i
$499$	−2.89370	−	5.67921i	−0.129540	−	0.254236i	0.817122	−	0.576465i	$-0.195568\pi$
$499$	−2.89370	−	5.67921i	−0.129540	−	0.254236i	−0.946662	+	0.322228i	$0.895568\pi$
$500$	8.36202	+	20.7383i	0.373961	+	0.927445i
$501$		−	28.4505i		−	1.27108i
$502$	−2.55768	+	2.92915i	−0.114155	+	0.130734i
$503$	−20.3485	−	14.7841i	−0.907295	−	0.659189i	0.0330341	−	0.999454i	$-0.489483\pi$
$503$	−20.3485	−	14.7841i	−0.907295	−	0.659189i	−0.940329	+	0.340266i	$0.889483\pi$
$504$	0.0800098	−	0.0301043i	0.00356392	−	0.00134095i
$505$	20.0295	−	29.4040i	0.891302	−	1.30846i
$506$	−13.1571	−	1.18047i	−0.584905	−	0.0524785i
$507$	23.9413	−	17.3944i	1.06327	−	0.772512i
$508$	12.1620	+	40.4199i	0.539604	+	1.79334i
$509$	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	$0.437328\pi$
$510$	3.11941	+	31.7511i	0.138130	+	1.40596i
$511$	3.88681	+	7.62829i	0.171942	+	0.337456i
$512$	9.86865	+	20.3620i	0.436137	+	0.899880i
$513$	1.72059	−	0.876682i	0.0759657	−	0.0387065i
$514$	14.2043	+	6.06655i	0.626525	+	0.267584i
$515$	6.76920	+	4.61106i	0.298287	+	0.203188i
$516$	8.16251	+	0.178656i	0.359334	+	0.00786490i
$517$	−14.9051	+	7.59452i	−0.655525	+	0.334006i
$518$	−19.5472	−	4.91969i	−0.858855	−	0.216159i
$519$	−11.2927	−	11.2927i	−0.495695	−	0.495695i
$520$	−2.80885	+	34.5875i	−0.123176	+	1.51676i
$521$	−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	$0.948347\pi$
$522$	−0.0287193	+	0.00194433i	−0.00125701	+	8.51010e-5i
$523$	−4.33593	−	27.3760i	−0.189597	−	1.19707i	−0.880473	−	0.474095i	$-0.842775\pi$
$523$	−4.33593	−	27.3760i	−0.189597	−	1.19707i	0.690876	−	0.722973i	$-0.257225\pi$
$524$	−34.8923	−	6.31198i	−1.52428	−	0.275740i
$525$	30.3542	−	25.0007i	1.32477	−	1.09112i
$526$	1.38113	−	3.23381i	0.0602203	−	0.141001i
$527$	−6.85431	−	21.0954i	−0.298578	−	0.918929i
$528$	20.2017	+	11.4332i	0.879166	+	0.497564i
$529$	8.96057	+	12.3332i	0.389590	+	0.536224i
$530$	11.6582	+	2.56086i	0.506400	+	0.111237i
$531$	0.00405933	+	0.0124933i	0.000176160	+	0.000542165i
$532$	−2.77321	+	1.92357i	−0.120234	+	0.0833973i
$533$	−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
$536$	−7.44160	+	27.0520i	−0.321428	+	1.16847i
$537$	30.5429	+	4.83752i	1.31802	+	0.208755i
$538$	6.34021	−	3.79049i	0.273346	−	0.163420i
$539$	−20.8079	+	40.8379i	−0.896261	+	1.75901i
$540$	13.5145	−	18.9355i	0.581570	−	0.814854i
$541$	−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	$0.884295\pi$
$542$	34.3491	+	3.08185i	1.47542	+	0.132377i
$543$	6.61081	+	41.7390i	0.283697	+	1.79119i
$544$	−15.6718	−	29.0263i	−0.671924	−	1.24449i
$545$	10.6930	−	36.6572i	0.458036	−	1.57022i
$546$	59.4933	−	13.5964i	2.54608	−	0.581871i
$547$	−28.3024			−1.21012			−0.605061	−	0.796179i	$-0.706851\pi$
$547$	−28.3024			−1.21012			−0.605061	+	0.796179i	$0.706851\pi$
$548$	−5.36127	−	11.1170i	−0.229022	−	0.474893i
$549$	0.0261619	+	0.00850053i	0.00111656	+	0.000362794i
$550$	−23.3090	−	4.38361i	−0.993897	−	0.186918i
$551$	1.08083	−	0.351182i	0.0460448	−	0.0149609i
$552$	2.74472	+	13.3485i	0.116823	+	0.568151i
$553$	30.8407	−	15.7141i	1.31148	−	0.668231i
$554$	−1.58361	−	3.94471i	−0.0672812	−	0.167595i
$555$	−11.4172	+	4.09650i	−0.484634	+	0.173887i
$556$	−3.64290	−	26.7810i	−0.154493	−	1.13577i
$557$	−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	$0.931643\pi$
$558$	−0.0140476	+	0.0328914i	−0.000594684	+	0.00139240i
$559$	−12.7866	−	2.02520i	−0.540815	−	0.0856567i
$560$	−18.9439	+	35.9763i	−0.800525	+	1.52028i
$561$	−30.1517	−	15.3630i	−1.27300	−	0.648628i
$562$	−3.22945	+	12.8314i	−0.136226	+	0.541262i
$563$	0.126411	+	0.0918430i	0.00532759	+	0.00387072i	0.590446	−	0.807077i	$-0.298952\pi$
$563$	0.126411	+	0.0918430i	0.00532759	+	0.00387072i	−0.585118	+	0.810948i	$0.698952\pi$
$564$	11.9329	+	12.4670i	0.502467	+	0.524954i
$565$	−33.3013	+	25.7735i	−1.40100	+	1.08430i
$566$	−12.8810	+	0.872054i	−0.541427	+	0.0366552i
$567$	−38.8237	−	12.6146i	−1.63044	−	0.529762i
$568$	−12.8296	−	11.7071i	−0.538317	−	0.491220i
$569$	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	$0.179230\pi$
$570$	−0.740705	+	1.89113i	−0.0310247	+	0.0792107i
$571$	32.4481	+	32.4481i	1.35791	+	1.35791i	0.876490	+	0.481419i	$0.159879\pi$
$571$	32.4481	+	32.4481i	1.35791	+	1.35791i	0.481419	+	0.876490i	$0.340121\pi$
$572$	−29.2970	−	22.2811i	−1.22497	−	0.931619i
$573$	21.4881	−	21.4881i	0.897680	−	0.897680i
$574$	−19.0878	+	36.4713i	−0.796708	+	1.52228i
$575$	−7.06205	−	12.0005i	−0.294508	−	0.500455i
$576$	−0.0117493	+	0.0518756i	−0.000489553	+	0.00216148i
$577$	28.6405			1.19232			0.596160	−	0.802865i	$-0.296692\pi$
$577$	28.6405			1.19232			0.596160	+	0.802865i	$0.296692\pi$
$578$	12.3397	+	20.6402i	0.513265	+	0.858519i
$579$	−6.65056	−	9.15371i	−0.276388	−	0.380415i
$580$	9.59877	−	9.76237i	0.398567	−	0.405360i
$581$	18.8041	+	36.9051i	0.780125	+	1.53108i
$582$	−27.3107	−	23.8473i	−1.13206	−	0.988501i
$583$	−8.95230	+	8.95230i	−0.370766	+	0.370766i
$584$	−5.29394	−	0.592013i	−0.219065	−	0.0244977i
$585$	−0.0559037	+	0.0594024i	−0.00231133	+	0.00245599i
$586$	12.2521	+	20.4937i	0.506131	+	0.846585i
$587$	7.90947	−	2.56994i	0.326459	−	0.106073i	−0.141202	−	0.989981i	$-0.545097\pi$
$587$	7.90947	−	2.56994i	0.326459	−	0.106073i	0.467661	+	0.883908i	$0.345097\pi$
$588$	46.5279	+	8.41685i	1.91878	+	0.347105i
$589$	0.220893	−	1.39466i	0.00910172	−	0.0574660i
$590$	−5.38953	−	3.16062i	−0.221884	−	0.130121i
$591$	13.6214	−	2.15742i	0.560309	−	0.0887442i
$592$	9.24778	−	8.47174i	0.380081	−	0.348186i
$593$	−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	$0.196239\pi$
$594$	9.19281	+	22.8989i	0.377186	+	0.939554i
$595$	25.2957	−	53.6055i	1.03702	−	2.19761i
$596$	−8.83670	−	29.3683i	−0.361965	−	1.20297i
$597$	11.1139	−	21.8122i	0.454860	−	0.892713i
$598$	−1.45960	−	21.5595i	−0.0596876	−	0.881635i
$599$	11.5083	−	35.4190i	0.470218	−	1.44718i	−0.382083	−	0.924128i	$-0.624793\pi$
$599$	11.5083	−	35.4190i	0.470218	−	1.44718i	0.852300	−	0.523053i	$-0.175207\pi$
$600$	2.59800	+	24.3294i	0.106063	+	0.993244i
$601$	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	$0.661725\pi$
$602$	−12.8459	−	8.06664i	−0.523560	−	0.328772i
$603$	−0.0533566	+	0.0387658i	−0.00217285	+	0.00157867i
$604$	0.305802	−	13.9716i	0.0124429	−	0.568496i
$605$	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	$0.0753909\pi$
$607$	2.95857	+	18.6797i	0.120085	+	0.758185i	−0.851998	+	0.523545i	$0.824609\pi$
$608$	−0.0500371	−	2.09935i	−0.00202927	−	0.0851400i
$609$	−21.4531	−	10.9309i	−0.869323	−	0.442942i
$610$	−11.9883	+	5.24032i	−0.485393	+	0.212174i
$611$	−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	−0.578787	−	0.815479i	$-0.696474\pi$
$619$	0.445971	−	0.324017i	0.0179251	−	0.0130233i	0.596712	+	0.802456i	$0.296474\pi$
$620$	−5.39320	−	16.1334i	−0.216596	−	0.647934i
$621$	−6.57672	+	12.9075i	−0.263915	+	0.517962i
$622$	25.4807	−	10.2293i	1.02168	−	0.410156i
$623$	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
$626$	11.2876	−	12.9269i	0.451143	−	0.516664i
$627$	−1.26624	−	1.74283i	−0.0505688	−	0.0696020i
$628$	−1.48803	−	10.9393i	−0.0593788	−	0.436527i
$629$	−12.9284	+	12.9284i	−0.515489	+	0.515489i
$630$	−0.0875751	+	0.0382807i	−0.00348907	+	0.00152514i
$631$	15.8804	+	5.15984i	0.632187	+	0.205410i	0.607544	−	0.794286i	$-0.292155\pi$
$631$	15.8804	+	5.15984i	0.632187	+	0.205410i	0.0246435	+	0.999696i	$0.492155\pi$
$632$	−2.39347	+	21.4030i	−0.0952070	+	0.851367i
$633$	−17.3390	−	8.83468i	−0.689165	−	0.351147i
$634$	28.7807	+	12.2920i	1.14303	+	0.488178i
$635$	−15.9377	−	44.4195i	−0.632469	−	1.76274i
$636$	11.5048	+	6.18276i	0.456195	+	0.245162i
$637$	−71.3049	−	23.1684i	−2.82520	−	0.917964i
$638$	3.23531	+	14.1567i	0.128087	+	0.560469i
$639$	−0.00638673	−	0.0403242i	−0.000252655	−	0.00159520i
$640$	−12.2067	−	22.1585i	−0.482510	−	0.875890i
$641$	−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	0.996730	−	0.0807980i	$-0.0257469\pi$
$643$	3.62274	+	11.1496i	0.142867	+	0.439699i	−0.853864	+	0.520497i	$0.825747\pi$
$644$	8.34901	−	23.9027i	0.328997	−	0.941900i
$645$	−9.12395	+	0.276846i	−0.359255	+	0.0109008i
$646$	0.206784	+	3.05437i	0.00813582	+	0.120173i
$647$	8.26066	+	8.26066i	0.324760	+	0.324760i	0.850590	−	0.525830i	$-0.176245\pi$
$647$	8.26066	+	8.26066i	0.324760	+	0.324760i	−0.525830	+	0.850590i	$0.676245\pi$
$648$	19.8448	−	15.8528i	0.779576	−	0.622755i
$649$	5.90476	−	3.00862i	0.231782	−	0.118099i
$650$	1.11778	−	38.7812i	0.0438429	−	1.52112i
$651$	−24.2028	+	17.5843i	−0.948581	+	0.689184i
$652$	28.2909	+	9.88176i	1.10796	+	0.387000i
$653$			45.1969i			1.76869i	0.466831	+	0.884347i	$0.345396\pi$
$653$			45.1969i			1.76869i	−0.466831	+	0.884347i	$0.654604\pi$
$654$	22.2202	−	35.3850i	0.868877	−	1.38366i
$655$	39.3260	+	5.01127i	1.53659	+	0.195807i
$656$	−12.4146	−	22.4027i	−0.484707	−	0.874677i
$657$	−0.00885429	−	0.00885429i	−0.000345439	−	0.000345439i
$658$	−7.14325	−	31.2566i	−0.278473	−	1.21851i
$659$	−34.4536	+	34.4536i	−1.34212	+	1.34212i	−0.448173	+	0.893947i	$0.647925\pi$
$659$	−34.4536	+	34.4536i	−1.34212	+	1.34212i	−0.893947	+	0.448173i	$0.852075\pi$
$660$	−23.2226	−	11.5864i	−0.903937	−	0.450999i
$661$	−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	$0.973852\pi$
$662$	38.4723	+	24.1588i	1.49527	+	0.938959i
$663$	17.1058	−	52.6463i	0.664335	−	2.04461i
$664$	−25.6117	−	2.86411i	−0.993927	−	0.111149i
$665$	2.98407	−	2.30951i	0.115717	−	0.0895591i
$666$	0.0294138	−	0.00199134i	0.00113976	−	7.71630e-5i
$667$	−5.01114	+	6.89724i	−0.194032	+	0.267062i
$668$	−14.2862	−	29.6234i	−0.552749	−	1.14616i
$669$	0.474509	−	0.931277i	0.0183456	−	0.0360053i
$670$	6.73002	−	30.6381i	0.260003	−	1.18365i
$671$	2.17093	−	13.7067i	0.0838077	−	0.529141i
$672$	−30.7010	+	32.2002i	−1.18432	+	1.24215i
$673$	−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	$0.833963\pi$
$674$	6.64464	−	10.5814i	0.255942	−	0.407581i
$675$	−13.9841	+	21.9303i	−0.538247	+	0.844098i
$676$	16.1939	−	30.1334i	0.622841	−	1.15898i
$677$	−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	$0.858338\pi$
$678$	−42.7609	+	17.1664i	−1.64222	+	0.659273i
$679$	20.8158	+	64.0645i	0.798837	+	2.45857i
$680$	19.1916	+	31.4937i	0.735962	+	1.20773i
$681$	2.33575	−	7.18869i	0.0895060	−	0.275471i
$682$	17.4976	+	4.40383i	0.670017	+	0.168631i
$683$		−	7.94393i		−	0.303966i	−0.988383	−	0.151983i	$-0.951434\pi$
$683$		−	7.94393i		−	0.303966i	0.988383	−	0.151983i	$-0.0485659\pi$
$684$	0.00298817	−	0.00392909i	0.000114255	−	0.000150233i
$685$	6.63463	+	12.0994i	0.253496	+	0.462293i
$686$	−32.2734	−	28.1806i	−1.23220	−	1.07594i
$687$	27.3588	−	4.33321i	1.04380	−	0.165322i
$688$	8.58872	−	3.91271i	0.327442	−	0.149171i
$689$	−16.7548	−	12.1730i	−0.638305	−	0.463756i
$690$	−3.84345	−	14.7436i	−0.146318	−	0.561279i
$691$	−23.4913	−	11.9694i	−0.893650	−	0.455337i	−0.0540472	−	0.998538i	$-0.517212\pi$
$691$	−23.4913	−	11.9694i	−0.893650	−	0.455337i	−0.839603	+	0.543201i	$0.817212\pi$
$692$	−17.4288	−	6.08772i	−0.662543	−	0.231420i
$693$	0.0158587	−	0.100128i	0.000602422	−	0.00380354i
$694$	1.30917	−	14.5915i	0.0496955	−	0.553887i
$695$	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
$698$	−3.75004	+	41.7965i	−0.141941	+	1.58202i
$699$	44.2438	−	14.3757i	1.67345	−	0.543738i
$700$	19.0517	−	41.2734i	0.720085	−	1.55999i
$701$	−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	$0.387862\pi$
$702$	−34.6445	+	20.7122i	−1.30757	+	0.781732i
$703$	−1.10696	+	0.359674i	−0.0417499	+	0.0135654i
$704$	26.7756	+	1.76039i	1.00914	+	0.0663473i
$705$	−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
$708$	−4.72732	−	4.93888i	−0.177663	−	0.185615i
$709$	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	$0.256457\pi$
$710$	15.0075	+	12.3225i	0.563222	+	0.462454i
$711$	−0.0357973	+	0.0357973i	−0.00134250	+	0.00134250i
$712$	−5.25303	+	11.5906i	−0.196866	+	0.434375i
$713$	4.80909	+	9.43837i	0.180102	+	0.353470i
$714$	42.6600	−	48.8557i	1.59651	−	1.82838i
$715$	34.0106	+	23.1674i	1.27192	+	0.866413i
$716$	34.2312	−	10.2999i	1.27928	−	0.384925i
$717$	18.5507	+	36.4077i	0.692787	+	1.35967i
$718$	−2.07088	−	0.884458i	−0.0772847	−	0.0330077i
$719$	6.47131	−	3.29730i	0.241339	−	0.122968i	−0.329138	−	0.944282i	$-0.606758\pi$
$719$	6.47131	−	3.29730i	0.241339	−	0.122968i	0.570477	+	0.821313i	$0.306758\pi$
$720$	0.0100910	−	0.0586053i	0.000376070	−	0.00218409i
$721$	−2.60478	−	16.4459i	−0.0970069	−	0.612477i
$722$	10.4772	−	24.5315i	0.389921	−	0.912967i
$723$	10.1009	+	13.9026i	0.375655	+	0.517045i
$724$	27.8422	+	40.1402i	1.03475	+	1.49180i
$725$	−10.1475	+	11.4599i	−0.376867	+	0.425611i
$726$	0.526002	−	0.314470i	0.0195218	−	0.0116711i
$727$	24.6560	−	33.9361i	0.914441	−	1.25862i	−0.0511857	−	0.998689i	$-0.516300\pi$
$727$	24.6560	−	33.9361i	0.914441	−	1.25862i	0.965627	−	0.259931i	$-0.0837000\pi$
$728$	55.1187	−	44.0309i	2.04283	−	1.63189i
$729$	27.0596			1.00221
$730$	5.94528	+	0.352064i	0.220045	+	0.0130305i
$731$	−12.2593	+	6.24643i	−0.453427	+	0.231033i
$732$	−14.1858	+	1.92964i	−0.524324	+	0.0713214i
$733$	−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	$0.623294\pi$
$734$	8.32498	−	33.0773i	0.307281	−	1.22091i
$735$	−52.4401	−	6.68239i	−1.93428	−	0.246484i
$736$	9.56071	+	12.5206i	0.352412	+	0.461514i
$737$	23.5269	+	23.5269i	0.866624	+	0.866624i
$738$	0.0100674	−	0.0593588i	0.000370587	−	0.00218503i
$739$	11.2656			0.414413			0.207206	−	0.978297i	$-0.433563\pi$
$739$	11.2656			0.414413			0.207206	+	0.978297i	$0.433563\pi$
$740$	−9.83088	+	9.99843i	−0.361390	+	0.367550i
$741$	2.49180	−	2.49180i	0.0915387	−	0.0915387i
$742$	−12.4517	−	20.8274i	−0.457114	−	0.764598i
$743$	4.67394	−	29.5101i	0.171470	−	1.08262i	−0.740407	−	0.672158i	$-0.765367\pi$
$743$	4.67394	−	29.5101i	0.171470	−	1.08262i	0.911878	−	0.410462i	$-0.134633\pi$
$744$	−0.850621	−	18.5945i	−0.0311853	−	0.681708i
$745$	11.5800	+	32.2743i	0.424259	+	1.18244i
$746$	−1.51490	−	22.3764i	−0.0554646	−	0.819258i
$747$	−0.0428364	−	0.0428364i	−0.00156730	−	0.00156730i
$748$	−39.1091	−	0.855997i	−1.42997	−	0.0312983i
$749$	10.6293	+	67.1105i	0.388385	+	2.45217i
$750$	−4.32042	−	27.0124i	−0.157759	−	0.986355i
$751$	24.2120	−	47.5187i	0.883508	−	1.73398i	0.236280	−	0.971685i	$-0.424072\pi$
$751$	24.2120	−	47.5187i	0.883508	−	1.73398i	0.647228	−	0.762297i	$-0.275928\pi$
$752$	18.6850	+	6.98891i	0.681373	+	0.254859i
$753$	3.84876	−	2.79629i	0.140257	−	0.101902i
$754$	−22.0445	+	8.84981i	−0.802815	+	0.322291i
$755$	0.473872	+	15.6173i	0.0172460	+	0.568371i
$756$	−46.8623	+	6.37447i	−1.70437	+	0.231837i
$757$	−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	$0.695821\pi$
$758$	6.50118	+	2.77660i	0.236133	+	0.100851i
$759$	15.3699	+	4.99399i	0.557893	+	0.181270i
$760$	0.178373	+	2.34103i	0.00647028	+	0.0849181i
$761$	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	$0.749320\pi$
$762$	−3.48804	−	51.5212i	−0.126358	−	1.86642i
$763$	−69.1675	+	35.2426i	−2.50403	+	1.27587i
$764$	11.5839	−	33.1641i	0.419091	−	1.19983i
$765$	−0.0109587	+	0.0859983i	−0.000396212	+	0.00310927i
$766$	−7.18853	−	31.4547i	−0.259732	−	1.13650i
$767$	6.37193	+	8.77020i	0.230077	+	0.316674i
$768$	−6.21985	−	26.9743i	−0.224440	−	0.973350i
$769$	−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	$0.368520\pi$
$770$	25.9857	+	40.6154i	0.936458	+	1.46368i
$771$	−15.2871	−	11.1067i	−0.550552	−	0.399999i
$772$	−11.5212	−	6.19155i	−0.414656	−	0.222839i
$773$	−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	$-0.336074\pi$
$774$	0.0215146	+	0.00541484i	0.000773326	+	0.000194632i
$775$	6.96302	+	17.6984i	0.250119	+	0.635746i
$776$	−40.4113	−	11.1165i	−1.45068	−	0.399060i
$777$	21.9718	+	11.1952i	0.788235	+	0.401626i
$778$	1.60617	−	17.9017i	0.0575839	−	0.641808i
$779$	0.186537	+	2.36965i	0.00668337	+	0.0849016i
$780$	12.7771	−	40.4847i	0.457494	−	1.44959i
$781$	−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
$784$	52.6725	−	14.5997i	1.88116	−	0.521419i
$785$	2.29976	+	12.1271i	0.0820819	+	0.432833i
$786$	39.8935	+	17.0382i	1.42295	+	0.607732i
$787$	−1.36415	−	8.61292i	−0.0486268	−	0.307017i	0.951373	−	0.308042i	$-0.0996738\pi$
$787$	−1.36415	−	8.61292i	−0.0486268	−	0.307017i	−0.999999	+	0.00102477i	$0.999674\pi$
$788$	13.0996	−	9.08621i	0.466654	−	0.323683i
$789$	−2.52860	+	3.48032i	−0.0900206	+	0.123903i
$790$	1.42337	−	24.0364i	0.0506412	−	0.855176i
$791$	84.5538	+	13.3920i	3.00639	+	0.476165i
$792$	0.0465933	+	0.0425169i	0.00165562	+	0.00151077i
$793$	22.7009			0.806133
$794$	−6.66535	−	11.1489i	−0.236544	−	0.395659i
$795$	−13.2060	−	6.23175i	−0.468370	−	0.221018i
$796$	0.619241	−	28.2921i	0.0219484	−	1.00279i
$797$	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	$-0.0539739\pi$
$798$	3.83173	−	1.53825i	0.135642	−	0.0544536i
$799$	−27.6593	−	8.98704i	−0.978515	−	0.317939i
$800$	14.9219	+	24.0278i	0.527569	+	0.849512i
$801$	−0.0266528	+	0.0135803i	−0.000941732	+	0.000479836i
$802$	9.78086	+	42.7979i	0.345374	+	1.51125i
$803$	−3.71310	+	5.11064i	−0.131032	+	0.180351i
$804$	16.2485	−	30.2350i	0.573039	−	1.06631i
$805$	−7.92693	+	27.1748i	−0.279388	+	0.957788i
$806$	−2.63755	+	29.3971i	−0.0929037	+	1.03547i
$807$	−8.59472	+	2.79259i	−0.302548	+	0.0983039i
$808$	18.5771	−	40.9895i	0.653539	−	1.44200i
$809$	−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	$-0.258866\pi$
$810$	−21.2318	+	18.8578i	−0.746009	+	0.662595i
$811$	7.89730			0.277312			0.138656	−	0.990341i	$-0.455722\pi$
$811$	7.89730			0.277312			0.138656	+	0.990341i	$0.455722\pi$
$812$	−27.8263	−	0.609047i	−0.976513	−	0.0213733i
$813$	−40.1261	−	13.0378i	−1.40728	−	0.457254i
$814$	−3.31355	−	14.4990i	−0.116140	−	0.508190i
$815$	−32.1637	−	9.38219i	−1.12665	−	0.328644i
$816$	10.7794	+	38.8895i	0.377353	+	1.36140i
$817$	−0.875896			−0.0306437
$818$	3.45353	+	15.1115i	0.120750	+	0.528362i
$819$	0.165831			0.00579460
$820$	15.1683	+	24.2883i	0.529699	+	0.848186i
$821$	42.4541			1.48166			0.740829	−	0.671693i	$-0.234433\pi$
$821$	42.4541			1.48166			0.740829	+	0.671693i	$0.234433\pi$
$822$	3.36400	+	14.7198i	0.117333	+	0.513412i
$823$	−23.9428			−0.834594			−0.417297	−	0.908770i	$-0.637022\pi$
$823$	−23.9428			−0.834594			−0.417297	+	0.908770i	$0.637022\pi$
$824$	9.43632	+	4.27669i	0.328730	+	0.148986i
$825$	26.6044	+	11.5812i	0.926245	+	0.403205i
$826$	2.82985	+	12.3825i	0.0984632	+	0.430843i
$827$	10.4175	+	3.38484i	0.362251	+	0.117702i	0.484487	−	0.874799i	$-0.339006\pi$
$827$	10.4175	+	3.38484i	0.362251	+	0.117702i	−0.122236	+	0.992501i	$0.539006\pi$
$828$	−0.000810322		0.0370223i	−2.81607e−5		0.00128661i
$829$	−4.75367			−0.165102			−0.0825509	−	0.996587i	$-0.526307\pi$
$829$	−4.75367			−0.165102			−0.0825509	+	0.996587i	$0.526307\pi$
$830$	28.7629	+	1.70326i	0.998373	+	0.0591210i
$831$	0.813501	+	5.13624i	0.0282200	+	0.178174i
$832$	4.00755	+	43.7108i	0.138937	+	1.51540i
$833$	−75.7826	+	24.6233i	−2.62571	+	0.853146i
$834$	−2.95479	+	32.9330i	−0.102316	+	1.14038i
$835$	17.6793	+	32.2412i	0.611818	+	1.11575i
$836$	−2.19359	−	1.17885i	−0.0758669	−	0.0407713i
$837$	11.6304	−	16.0079i	0.402006	−	0.553313i
$838$	−2.30780	−	10.0982i	−0.0797218	−	0.348837i
$839$	38.3002	−	19.5149i	1.32227	−	0.673730i	0.356785	−	0.934187i	$-0.383873\pi$
$839$	38.3002	−	19.5149i	1.32227	−	0.673730i	0.965486	+	0.260456i	$0.0838730\pi$
$840$	32.3990	−	37.7434i	1.11787	−	1.30227i
$841$	−18.6673	−	6.06538i	−0.643701	−	0.209151i
$842$	−29.8835	+	11.9968i	−1.02985	+	0.413436i
$843$	7.34891	−	14.4230i	0.253110	−	0.496756i
$844$	−22.4901	−	0.492250i	−0.774141	−	0.0169439i
$845$	−16.3222	+	34.5892i	−0.561501	+	1.18990i
$846$	0.0240632	+	0.0402496i	0.000827310	+	0.00138381i
$847$	−1.13858			−0.0391222
$848$	15.0837	+	0.660603i	0.517977	+	0.0226852i
$849$	15.6000	+	2.47080i	0.535391	+	0.0847976i
$850$	−23.2654	−	34.0431i	−0.797995	−	1.16767i
$851$	5.13231	−	7.06402i	0.175933	−	0.242152i
$852$	12.1101	+	17.4592i	0.414887	+	0.598143i
$853$	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	$0.760821\pi$
$854$	24.4609	+	10.4470i	0.837035	+	0.357491i
$855$	−0.00310704	+	0.00456124i	−0.000106258	+	0.000155991i
$856$	−38.5067	−	17.4518i	−1.31613	−	0.596491i
$857$	−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	−0.852265	−	0.523111i	$-0.824771\pi$
$859$	−36.1753	+	11.7541i	−1.23428	+	0.401043i	−0.382020	+	0.924154i	$0.624771\pi$
$860$	−9.36106	+	4.86977i	−0.319210	+	0.166058i
$861$	32.7054	−	38.2945i	1.11460	−	1.30507i
$862$	−0.301844	+	3.36424i	−0.0102808	+	0.114586i
$863$	1.69022	+	0.861211i	0.0575358	+	0.0293160i	0.482522	−	0.875884i	$-0.339721\pi$
$863$	1.69022	+	0.861211i	0.0575358	+	0.0293160i	−0.424986	+	0.905200i	$0.639721\pi$
$864$	12.7308	−	26.5300i	0.433109	−	0.902567i
$865$	19.8147	+	5.77996i	0.673719	+	0.196524i
$866$	17.5173	+	4.40880i	0.595262	+	0.149817i
$867$	−9.09113	−	27.9796i	−0.308751	−	0.950237i
$868$	−16.3707	+	30.4624i	−0.555658	+	1.03396i
$869$	20.6620	+	15.0118i	0.700910	+	0.509241i
$870$	−14.1087	+	9.02673i	−0.478330	+	0.306035i
$871$	−31.9911	+	44.0320i	−1.08398	+	1.49197i
$872$	5.36792	−	48.0014i	0.181781	−	1.62553i
$873$	−0.0579098	−	0.0797060i	−0.00195995	−	0.00269764i
$874$	−0.325724	−	1.42526i	−0.0110178	−	0.0482103i
$875$	−18.8629	+	47.1939i	−0.637682	+	1.59545i
$876$	6.15239	+	2.14898i	0.207870	+	0.0726072i
$877$	−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	$0.509278\pi$
$878$	−2.47596	−	36.5720i	−0.0835595	−	1.23424i
$879$	−9.02659	−	27.7810i	−0.304459	−	0.937029i
$880$	−29.9979	−	0.403026i	−1.01123	−	0.0135860i
$881$	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	$0.300024\pi$
$882$	0.118158	+	0.0504645i	0.00397860	+	0.00169923i
$883$	44.1493	+	14.3450i	1.48574	+	0.482747i	0.935823	−	0.352470i	$-0.114658\pi$
$883$	44.1493	+	14.3450i	1.48574	+	0.482747i	0.549920	+	0.835217i	$0.314658\pi$
$884$	−8.62485	−	63.4061i	−0.290085	−	2.13258i
$885$	5.56630	+	5.23846i	0.187109	+	0.176089i
$886$	−2.00265	+	0.803967i	−0.0672804	+	0.0270098i
$887$	32.3147	−	23.4780i	1.08502	−	0.788315i	0.106471	−	0.994316i	$-0.466045\pi$
$887$	32.3147	−	23.4780i	1.08502	−	0.788315i	0.978552	+	0.206001i	$0.0660450\pi$
$888$	−13.3383	+	7.58314i	−0.447605	+	0.254474i
$889$	−43.5558	+	85.4830i	−1.46081	+	2.86701i
$890$	5.18870	−	13.2475i	0.173926	−	0.444058i
$891$	−4.71188	−	29.7497i	−0.157854	−	0.996651i
$892$	0.0264387	−	1.20794i	0.000885232	−	0.0404448i
$893$	−1.30914	−	1.30914i	−0.0438088	−	0.0438088i
$894$	2.53434	+	37.4343i	0.0847610	+	1.25199i
$895$	−37.6184	+	13.4975i	−1.25744	+	0.451171i
$896$	−15.7976	+	48.9439i	−0.527761	+	1.63510i
$897$	−4.13551	+	26.1106i	−0.138081	+	0.871806i
$898$	28.1188	+	47.0332i	0.938335	+	1.56952i
$899$	8.23410	−	8.23410i	0.274623	−	0.274623i
$900$	−0.00784684	+	0.0660222i	−0.000261561	+	0.00220074i
$901$	−22.0105			−0.733277
$902$	−30.3715	−	0.331814i	−1.01126	−	0.0110482i
$903$	13.1219	+	13.1219i	0.436669	+	0.436669i
$904$	−35.9037	+	39.3461i	−1.19414	+	1.30863i
$905$	−33.4285	−	43.1922i	−1.11120	−	1.43576i
$906$	−4.17282	+	16.5797i	−0.138633	+	0.550824i
$907$	−49.5308	−	7.84491i	−1.64464	−	0.260486i	−0.735670	−	0.677340i	$-0.763132\pi$
$907$	−49.5308	−	7.84491i	−1.64464	−	0.260486i	−0.908973	+	0.416854i	$0.863132\pi$
$908$	−1.17770	−	8.65792i	−0.0390833	−	0.287323i
$909$	0.0942564	−	0.0480260i	0.00312629	−	0.00159292i
$910$	−58.9711	+	52.3774i	−1.95487	+	1.73629i
$911$	−21.2435			−0.703827			−0.351914	−	0.936032i	$-0.614469\pi$
$911$	−21.2435			−0.703827			−0.351914	+	0.936032i	$0.614469\pi$
$912$	−0.512525	+	2.51741i	−0.0169714	+	0.0833597i
$913$	−17.9637	+	24.7249i	−0.594512	+	0.818276i
$914$	−38.1927	+	22.8335i	−1.26330	+	0.755264i
$915$	15.7260	−	2.98226i	0.519887	−	0.0985906i
$916$	26.3108	−	18.2498i	0.869334	−	0.602992i
$917$	−47.3723	−	65.2023i	−1.56437	−	2.15317i
$918$	−16.8492	+	39.4511i	−0.556108	+	1.30208i
$919$	0.894894	+	5.65014i	0.0295198	+	0.186381i	0.998042	−	0.0625461i	$-0.0199221\pi$
$919$	0.894894	+	5.65014i	0.0295198	+	0.186381i	−0.968522	+	0.248927i	$0.919922\pi$
$920$	−11.4053	−	13.4214i	−0.376020	−	0.442492i
$921$	12.4597	−	6.34856i	0.410562	−	0.209192i
$922$	−27.5218	−	11.7543i	−0.906381	−	0.387108i
$923$	−15.2958	−	30.0197i	−0.503468	−	0.988112i
$924$	15.2019	+	50.5228i	0.500107	+	1.66208i
$925$	10.3928	−	11.7370i	0.341714	−	0.385911i
$926$	28.4175	−	32.5447i	0.933858	−	1.06949i
$927$	0.0110562	+	0.0216991i	0.000363134	+	0.000712691i
$928$	9.84239	−	14.2489i	0.323092	−	0.467744i
$929$	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	$0.128202\pi$
$930$	2.03480	+	20.7113i	0.0667236	+	0.679151i
$931$	−5.01015	−	0.793530i	−0.164201	−	0.0260069i
$932$	38.8491	−	37.1849i	1.27255	−	1.21803i
$933$	−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
$936$	−0.0567699	+	0.0861590i	−0.00185558	+	0.00281619i
$937$	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	$0.205372\pi$
$938$	−54.7350	+	32.7233i	−1.78716	+	1.06845i
$939$	−16.9854	+	12.3406i	−0.554297	+	0.402721i
$940$	−21.2699	−	6.71284i	−0.693746	−	0.218949i
$941$	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	$0.377927\pi$
$942$	−1.20696	+	13.4523i	−0.0393247	+	0.438298i
$943$	−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
$946$	1.00017	−	11.1475i	0.0325183	−	0.362437i
$947$	−4.33006	+	27.3389i	−0.140708	+	0.888395i	0.811812	+	0.583919i	$0.198481\pi$
$947$	−4.33006	+	27.3389i	−0.140708	+	0.888395i	−0.952520	+	0.304476i	$0.901519\pi$
$948$	8.68817	−	24.8737i	0.282179	−	0.807861i
$949$	−9.20724	−	4.69132i	−0.298880	−	0.152287i
$950$	−0.335765	−	2.60337i	−0.0108937	−	0.0844646i
$951$	−30.9747	−	22.5044i	−1.00442	−	0.729756i
$952$	19.8862	−	72.2911i	0.644516	−	2.34297i
$953$	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	$0.393166\pi$
$954$	0.0267336	+	0.0233433i	0.000865531	+	0.000755768i
$955$	−10.9983	+	37.7040i	−0.355896	+	1.22007i
$956$	37.5972	+	28.5936i	1.21598	+	0.924783i
$957$		−	17.7656i		−	0.574281i
$958$	13.5756	+	3.41674i	0.438607	+	0.110390i
$959$	8.66880	−	26.6798i	0.279930	−	0.861536i
$960$	8.51859	+	29.7541i	0.274936	+	0.960309i
$961$	5.10845	+	15.7222i	0.164789	+	0.507168i
$962$	22.5776	−	9.06381i	0.727931	−	0.292229i
$963$	−0.0451170	−	0.0885471i	−0.00145387	−	0.00285339i
$964$	17.4984	+	9.40372i	0.563584	+	0.302874i
$965$	13.2248	+	6.24062i	0.425722	+	0.200893i
$966$	−16.4723	+	26.2317i	−0.529988	+	0.843991i
$967$	17.8988	+	13.0042i	0.575587	+	0.418188i	0.837130	−	0.547003i	$-0.184232\pi$
$967$	17.8988	+	13.0042i	0.575587	+	0.418188i	−0.261544	+	0.965192i	$0.584232\pi$
$968$	0.389778	−	0.591561i	0.0125279	−	0.0190135i
$969$	0.585884	−	3.69913i	0.0188213	−	0.118833i
$970$	45.7683	+	10.0536i	1.46953	+	0.322800i
$971$	−11.1799	+	21.9417i	−0.358778	+	0.704142i	−0.997887	−	0.0649742i	$-0.979303\pi$
$971$	−11.1799	+	21.9417i	−0.358778	+	0.704142i	0.639108	+	0.769117i	$0.279303\pi$
$972$	0.124472	−	0.0600277i	0.00399243	−	0.00192539i
$973$	36.1086	−	49.6992i	1.15759	−	1.59328i
$974$	26.9918	−	1.82737i	0.864874	−	0.0585528i
$975$	−11.9033	+	45.9472i	−0.381212	+	1.47149i
$976$	−13.8017	+	9.13248i	−0.441782	+	0.292323i
$977$	−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	$0.124441\pi$
$978$	−31.0474	−	19.4964i	−0.992787	−	0.623425i
$979$	8.87014	+	12.2087i	0.283491	+	0.390192i
$980$	−57.9574	+	19.3744i	−1.85138	+	0.618893i
$981$	0.0802839	−	0.0802839i	0.00256327	−	0.00256327i
$982$	−6.70440	−	29.3363i	−0.213946	−	0.936159i
$983$	−28.8420	−	28.8420i	−0.919917	−	0.919917i	0.0771060	−	0.997023i	$-0.475432\pi$
$983$	−28.8420	−	28.8420i	−0.919917	−	0.919917i	−0.997023	+	0.0771060i	$0.975432\pi$
$984$	8.69999	+	30.1020i	0.277346	+	0.959616i
$985$	−14.0956	+	10.9093i	−0.449124	+	0.347598i
$986$	−13.4259	+	21.3804i	−0.427568	+	0.680890i
$987$			39.2248i			1.24854i
$988$	1.34329	−	3.84577i	0.0427358	−	0.122350i
$989$	5.31591	−	3.86224i	0.169036	−	0.122812i
$990$	−0.0545029	−	0.0447516i	−0.00173222	−	0.00142230i
$991$	31.2153	−	15.9050i	0.991587	−	0.505239i	0.118579	−	0.992945i	$-0.462166\pi$
$991$	31.2153	−	15.9050i	0.991587	−	0.505239i	0.873008	+	0.487706i	$0.162166\pi$
$992$	−10.2227	−	18.9339i	−0.324573	−	0.601153i
$993$	−39.2988	−	39.2988i	−1.24711	−	1.24711i
$994$	−2.66650	−	39.3863i	−0.0845761	−	1.24926i
$995$	0.959579	+	31.6246i	0.0304207	+	1.00257i
$996$	29.7648	+	10.3966i	0.943135	+	0.329429i
$997$	−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.207.8	yes	960
4.3	odd	2	inner	820.2.bv.c.207.45	yes	960
5.3	odd	4		820.2.bk.c.43.69	yes	960
20.3	even	4		820.2.bk.c.43.17	✓	960
41.21	even	20		820.2.bk.c.267.17	yes	960
164.103	odd	20		820.2.bk.c.267.69	yes	960
205.103	odd	20	inner	820.2.bv.c.103.45	yes	960
820.103	even	20	inner	820.2.bv.c.103.8	yes	960

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
820.2.bk.c.43.17	✓	960	20.3	even	4
820.2.bk.c.43.69	yes	960	5.3	odd	4
820.2.bk.c.267.17	yes	960	41.21	even	20
820.2.bk.c.267.69	yes	960	164.103	odd	20
820.2.bv.c.103.8	yes	960	820.103	even	20	inner
820.2.bv.c.103.45	yes	960	205.103	odd	20	inner
820.2.bv.c.207.8	yes	960	1.1	even	1	trivial
820.2.bv.c.207.45	yes	960	4.3	odd	2	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:	\( N \)	\(=\)	\( 820 = 2^{2} \cdot 5 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	820.bv (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.37867 + 0.315075i) q^{2} +1.73013 q^{3} +(1.80145 - 0.868769i) q^{4} +(-1.96065 + 1.07511i) q^{5} +(-2.38528 + 0.545122i) q^{6} +(4.32334 + 1.40474i) q^{7} +(-2.20988 + 1.76534i) q^{8} -0.00664869 q^{9} +(2.36434 - 2.09998i) q^{10} +(0.524708 + 3.31288i) q^{11} +(3.11675 - 1.50308i) q^{12} +(-5.21822 + 1.69550i) q^{13} +(-6.40306 - 0.574491i) q^{14} +(-3.39217 + 1.86008i) q^{15} +(2.49048 - 3.13010i) q^{16} +(-3.42756 + 4.71763i) q^{17} +(0.00916634 - 0.00209484i) q^{18} +(-0.330761 + 0.168531i) q^{19} +(-2.59799 + 3.64012i) q^{20} +(7.47995 + 2.43038i) q^{21} +(-1.76720 - 4.40204i) q^{22} +(1.26429 - 2.48132i) q^{23} +(-3.82338 + 3.05427i) q^{24} +(2.68827 - 4.21583i) q^{25} +(6.65999 - 3.98167i) q^{26} -5.20189 q^{27} +(9.00871 - 1.22541i) q^{28} +(-3.02368 - 0.478905i) q^{29} +(4.09062 - 3.63323i) q^{30} +(-2.23580 + 3.07732i) q^{31} +(-2.44733 + 5.10006i) q^{32} +(0.907813 + 5.73171i) q^{33} +(3.23906 - 7.58399i) q^{34} +(-9.98680 + 1.89388i) q^{35} +(-0.0119773 + 0.00577618i) q^{36} +(3.09680 + 0.490485i) q^{37} +(0.402910 - 0.336564i) q^{38} +(-9.02820 + 2.93344i) q^{39} +(2.43486 - 5.83708i) q^{40} +(2.45027 - 5.91576i) q^{41} +(-11.0781 - 0.993945i) q^{42} +(2.10232 + 1.07119i) q^{43} +(3.82336 + 5.51215i) q^{44} +(0.0130357 - 0.00714809i) q^{45} +(-0.961241 + 3.81926i) q^{46} +(1.54117 + 4.74323i) q^{47} +(4.30886 - 5.41548i) q^{48} +(11.0549 + 8.03185i) q^{49} +(-2.37792 + 6.65924i) q^{50} +(-5.93013 + 8.16212i) q^{51} +(-7.92739 + 7.58780i) q^{52} +(2.21862 + 3.05367i) q^{53} +(7.17169 - 1.63899i) q^{54} +(-4.59048 - 5.93126i) q^{55} +(-12.0339 + 4.52786i) q^{56} +(-0.572260 + 0.291581i) q^{57} +(4.31955 - 0.292438i) q^{58} +(-0.610546 - 1.87907i) q^{59} +(-4.49486 + 6.29787i) q^{60} +(-3.93490 - 1.27853i) q^{61} +(2.11284 - 4.94705i) q^{62} +(-0.0287446 - 0.00933968i) q^{63} +(1.76715 - 7.80238i) q^{64} +(8.40823 - 8.93445i) q^{65} +(-3.05749 - 7.61610i) q^{66} +(8.02513 - 5.83060i) q^{67} +(-2.07606 + 11.4764i) q^{68} +(2.18739 - 4.29300i) q^{69} +(13.1718 - 5.75763i) q^{70} +(0.960600 + 6.06499i) q^{71} +(0.0146928 - 0.0117372i) q^{72} +(1.33173 + 1.33173i) q^{73} +(-4.42400 + 0.299509i) q^{74} +(4.65105 - 7.29394i) q^{75} +(-0.449437 + 0.590957i) q^{76} +(-2.38524 + 15.0598i) q^{77} +(11.5226 - 6.88881i) q^{78} +(5.38411 - 5.38411i) q^{79} +(-1.51774 + 8.81456i) q^{80} -8.98001 q^{81} +(-1.51420 + 8.92789i) q^{82} +(6.44284 + 6.44284i) q^{83} +(15.5862 - 2.12013i) q^{84} +(1.64825 - 12.9346i) q^{85} +(-3.23591 - 0.814422i) q^{86} +(-5.23137 - 0.828567i) q^{87} +(-7.00789 - 6.39478i) q^{88} +(4.00873 - 2.04255i) q^{89} +(-0.0157198 + 0.0139621i) q^{90} -24.9419 q^{91} +(0.121877 - 5.56836i) q^{92} +(-3.86823 + 5.32416i) q^{93} +(-3.61924 - 6.05376i) q^{94} +(0.467316 - 0.686036i) q^{95} +(-4.23420 + 8.82376i) q^{96} +(8.70996 + 11.9882i) q^{97} +(-17.7717 - 7.59014i) 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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