LMFDB - Embedded newform 285.2.bh.a.22.8

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [285,2,Mod(13,285)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(285, base_ring=CyclotomicField(36)) chi = DirichletCharacter(H, H._module([0, 27, 10])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("285.13"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 285 = 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	285.bh (of order $36$, degree $12$, minimal)

Newform invariants

comment:select newform

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

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

Self dual:	no
Analytic conductor:	$2.27573645761$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$20$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			22.8
Character	$\chi$	$=$	285.22
Dual form			285.2.bh.a.13.8

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.693370 + 0.0606620i) q^{2} +(0.906308 + 0.422618i) q^{3} +(-1.49253 + 0.263174i) q^{4} +(-1.33943 - 1.79051i) q^{5} +(-0.654043 - 0.238052i) q^{6} +(0.0498847 - 0.186172i) q^{7} +(2.36352 - 0.633303i) q^{8} +(0.642788 + 0.766044i) q^{9} +(1.03734 + 1.16023i) q^{10} +(1.69491 - 2.93568i) q^{11} +(-1.46392 - 0.392255i) q^{12} +(-0.912547 - 1.95696i) q^{13} +(-0.0232950 + 0.132112i) q^{14} +(-0.457237 - 2.18882i) q^{15} +(1.24794 - 0.454214i) q^{16} +(-0.604786 - 6.91273i) q^{17} +(-0.492159 - 0.492159i) q^{18} +(-2.43830 - 3.61313i) q^{19} +(2.47036 + 2.31989i) q^{20} +(0.123891 - 0.147647i) q^{21} +(-0.997118 + 2.13833i) q^{22} +(4.28034 + 2.99713i) q^{23} +(2.40972 + 0.424899i) q^{24} +(-1.41184 + 4.79653i) q^{25} +(0.751446 + 1.30154i) q^{26} +(0.258819 + 0.965926i) q^{27} +(-0.0254589 + 0.290997i) q^{28} +(5.09429 - 4.27462i) q^{29} +(0.449813 + 1.48993i) q^{30} +(-1.89191 + 1.09230i) q^{31} +(-5.27301 + 2.45884i) q^{32} +(2.77678 - 1.94433i) q^{33} +(0.838680 + 4.75639i) q^{34} +(-0.400160 + 0.160046i) q^{35} +(-1.16099 - 0.974182i) q^{36} +(-5.09701 + 5.09701i) q^{37} +(1.90982 + 2.35732i) q^{38} -2.15927i q^{39} +(-4.29971 - 3.38363i) q^{40} +(-2.93503 - 8.06394i) q^{41} +(-0.0769456 + 0.109890i) q^{42} +(0.670512 + 0.957590i) q^{43} +(-1.75712 + 4.82765i) q^{44} +(0.510638 - 2.17698i) q^{45} +(-3.14967 - 1.81846i) q^{46} +(6.07749 + 0.531712i) q^{47} +(1.32298 + 0.115746i) q^{48} +(6.03001 + 3.48143i) q^{49} +(0.687959 - 3.41142i) q^{50} +(2.37333 - 6.52066i) q^{51} +(1.87703 + 2.68067i) q^{52} +(-6.81158 + 9.72794i) q^{53} +(-0.238052 - 0.654043i) q^{54} +(-7.52658 + 0.897386i) q^{55} -0.471614i q^{56} +(-0.682873 - 4.30508i) q^{57} +(-3.27292 + 3.27292i) q^{58} +(-4.80729 - 4.03379i) q^{59} +(1.25848 + 3.14655i) q^{60} +(-1.65436 - 9.38236i) q^{61} +(1.24553 - 0.872132i) q^{62} +(0.174682 - 0.0814554i) q^{63} +(1.20677 - 0.696726i) q^{64} +(-2.28166 + 4.25514i) q^{65} +(-1.80739 + 1.51658i) q^{66} +(-0.768076 + 8.77915i) q^{67} +(2.72191 + 10.1583i) q^{68} +(2.61267 + 4.52527i) q^{69} +(0.267750 - 0.135246i) q^{70} +(2.15751 + 0.380428i) q^{71} +(2.00438 + 1.40348i) q^{72} +(-3.66082 + 7.85066i) q^{73} +(3.22492 - 3.84331i) q^{74} +(-3.30666 + 3.75047i) q^{75} +(4.59012 + 4.75102i) q^{76} +(-0.461992 - 0.461992i) q^{77} +(0.130986 + 1.49717i) q^{78} +(7.22404 - 2.62934i) q^{79} +(-2.48481 - 1.62606i) q^{80} +(-0.173648 + 0.984808i) q^{81} +(2.52424 + 5.41325i) q^{82} +(2.59137 + 0.694355i) q^{83} +(-0.146054 + 0.252973i) q^{84} +(-11.5672 + 10.3420i) q^{85} +(-0.523002 - 0.623290i) q^{86} +(6.42353 - 1.72118i) q^{87} +(2.14679 - 8.01192i) q^{88} +(0.466220 + 0.169690i) q^{89} +(-0.222001 + 1.54043i) q^{90} +(-0.409855 + 0.0722684i) q^{91} +(-7.17732 - 3.34684i) q^{92} +(-2.17628 + 0.190400i) q^{93} -4.24620 q^{94} +(-3.20340 + 9.20534i) q^{95} -5.81812 q^{96} +(2.57139 - 0.224967i) q^{97} +(-4.39221 - 2.04812i) q^{98} +(3.33833 - 0.588637i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 12 q^{6} - 12 q^{7} - 36 q^{16} + 120 q^{20} - 48 q^{21} + 24 q^{22} + 24 q^{23} - 24 q^{25} - 24 q^{26} - 72 q^{28} - 12 q^{32} - 12 q^{33} - 12 q^{36} - 132 q^{38} - 132 q^{40} - 72 q^{41} - 108 q^{43}+ \cdots + 192 q^{98}+O(q^{100}) $ 240 * q - 12 * q^6 - 12 * q^7 - 36 * q^16 + 120 * q^20 - 48 * q^21 + 24 * q^22 + 24 * q^23 - 24 * q^25 - 24 * q^26 - 72 * q^28 - 12 * q^32 - 12 * q^33 - 12 * q^36 - 132 * q^38 - 132 * q^40 - 72 * q^41 - 108 * q^43 + 24 * q^47 + 24 * q^51 + 36 * q^53 - 24 * q^57 - 144 * q^58 + 48 * q^60 + 24 * q^61 - 168 * q^62 - 144 * q^67 - 48 * q^68 - 48 * q^70 - 72 * q^72 - 36 * q^73 - 48 * q^76 - 216 * q^77 + 120 * q^78 + 24 * q^80 + 144 * q^82 - 12 * q^83 + 72 * q^85 + 96 * q^86 - 48 * q^87 + 360 * q^88 + 36 * q^90 + 72 * q^91 - 48 * q^92 + 24 * q^95 + 48 * q^96 + 96 * q^97 + 192 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/285\mathbb{Z}\right)^\times$.

$n$	$172$	$191$	$211$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$e\left(\frac{13}{18}\right)$

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 $

$2$	−0.693370	+	0.0606620i	−0.490287	+	0.0428945i	−0.329619	−	0.944114i	$-0.606920\pi$
$2$	−0.693370	+	0.0606620i	−0.490287	+	0.0428945i	−0.160668	+	0.987009i	$0.551365\pi$
$3$	0.906308	+	0.422618i	0.523257	+	0.243999i
$3$	0.906308	+	0.422618i	0.523257	+	0.243999i
$4$	−1.49253	+	0.263174i	−0.746267	+	0.131587i
$5$	−1.33943	−	1.79051i	−0.599013	−	0.800740i
$5$	−1.33943	−	1.79051i	−0.599013	−	0.800740i
$6$	−0.654043	−	0.238052i	−0.267012	−	0.0971845i
$7$	0.0498847	−	0.186172i	0.0188547	−	0.0703665i	−0.955858	−	0.293831i	$-0.905070\pi$
$7$	0.0498847	−	0.186172i	0.0188547	−	0.0703665i	0.974712	+	0.223464i	$0.0717365\pi$
$8$	2.36352	−	0.633303i	0.835630	−	0.223906i
$9$	0.642788	+	0.766044i	0.214263	+	0.255348i
$10$	1.03734	+	1.16023i	0.328035	+	0.366897i
$11$	1.69491	−	2.93568i	0.511036	−	0.885140i	−0.488882	−	0.872350i	$-0.662595\pi$
$11$	1.69491	−	2.93568i	0.511036	−	0.885140i	0.999918	−	0.0127903i	$-0.00407138\pi$
$12$	−1.46392	−	0.392255i	−0.422596	−	0.113234i
$13$	−0.912547	−	1.95696i	−0.253095	−	0.542764i	0.738175	−	0.674609i	$-0.235688\pi$
$13$	−0.912547	−	1.95696i	−0.253095	−	0.542764i	−0.991270	+	0.131845i	$0.957910\pi$
$14$	−0.0232950	+	0.132112i	−0.00622585	+	0.0353085i
$15$	−0.457237	−	2.18882i	−0.118058	−	0.565151i
$16$	1.24794	−	0.454214i	0.311986	−	0.113554i
$17$	−0.604786	−	6.91273i	−0.146682	−	1.67658i	−0.611551	−	0.791205i	$-0.709454\pi$
$17$	−0.604786	−	6.91273i	−0.146682	−	1.67658i	0.464869	−	0.885379i	$-0.346101\pi$
$18$	−0.492159	−	0.492159i	−0.116003	−	0.116003i
$19$	−2.43830	−	3.61313i	−0.559384	−	0.828909i
$19$	−2.43830	−	3.61313i	−0.559384	−	0.828909i
$20$	2.47036	+	2.31989i	0.552390	+	0.518743i
$21$	0.123891	−	0.147647i	0.0270352	−	0.0322193i
$22$	−0.997118	+	2.13833i	−0.212586	+	0.455893i
$23$	4.28034	+	2.99713i	0.892513	+	0.624945i	0.927246	−	0.374452i	$-0.122169\pi$
$23$	4.28034	+	2.99713i	0.892513	+	0.624945i	−0.0347330	+	0.999397i	$0.511058\pi$
$24$	2.40972	+	0.424899i	0.491882	+	0.0867321i
$25$	−1.41184	+	4.79653i	−0.282368	+	0.959306i
$26$	0.751446	+	1.30154i	0.147371	+	0.255253i
$27$	0.258819	+	0.965926i	0.0498097	+	0.185893i
$28$	−0.0254589	+	0.290997i	−0.00481129	+	0.0549932i
$29$	5.09429	−	4.27462i	0.945986	−	0.793776i	−0.0326312	−	0.999467i	$-0.510389\pi$
$29$	5.09429	−	4.27462i	0.945986	−	0.793776i	0.978617	+	0.205691i	$0.0659442\pi$
$30$	0.449813	+	1.48993i	0.0821242	+	0.272022i
$31$	−1.89191	+	1.09230i	−0.339798	+	0.196182i	−0.660182	−	0.751105i	$-0.729521\pi$
$31$	−1.89191	+	1.09230i	−0.339798	+	0.196182i	0.320385	+	0.947287i	$0.396188\pi$
$32$	−5.27301	+	2.45884i	−0.932145	+	0.434666i
$33$	2.77678	−	1.94433i	0.483376	−	0.338464i
$34$	0.838680	+	4.75639i	0.143833	+	0.815715i
$35$	−0.400160	+	0.160046i	−0.0676395	+	0.0270528i
$36$	−1.16099	−	0.974182i	−0.193498	−	0.162364i
$37$	−5.09701	+	5.09701i	−0.837943	+	0.837943i	−0.988588	−	0.150645i	$-0.951865\pi$
$37$	−5.09701	+	5.09701i	−0.837943	+	0.837943i	0.150645	+	0.988588i	$0.451865\pi$
$38$	1.90982	+	2.35732i	0.309814	+	0.382408i
$39$		−	2.15927i		−	0.345760i
$40$	−4.29971	−	3.38363i	−0.679843	−	0.534999i
$41$	−2.93503	−	8.06394i	−0.458375	−	1.25938i	−0.926694	−	0.375816i	$-0.877362\pi$
$41$	−2.93503	−	8.06394i	−0.458375	−	1.25938i	0.468319	−	0.883560i	$-0.344860\pi$
$42$	−0.0769456	+	0.109890i	−0.0118730	+	0.0169563i
$43$	0.670512	+	0.957590i	0.102252	+	0.146031i	0.867017	−	0.498278i	$-0.166034\pi$
$43$	0.670512	+	0.957590i	0.102252	+	0.146031i	−0.764765	+	0.644309i	$0.777145\pi$
$44$	−1.75712	+	4.82765i	−0.264896	+	0.727796i
$45$	0.510638	−	2.17698i	0.0761214	−	0.324525i
$46$	−3.14967	−	1.81846i	−0.464394	−	0.268118i
$47$	6.07749	+	0.531712i	0.886493	+	0.0775581i	0.521300	−	0.853374i	$-0.325447\pi$
$47$	6.07749	+	0.531712i	0.886493	+	0.0775581i	0.365193	+	0.930932i	$0.381003\pi$
$48$	1.32298	+	0.115746i	0.190956	+	0.0167065i
$49$	6.03001	+	3.48143i	0.861429	+	0.497347i
$50$	0.687959	−	3.41142i	0.0972921	−	0.482447i
$51$	2.37333	−	6.52066i	0.332332	−	0.913075i
$52$	1.87703	+	2.68067i	0.260297	+	0.371743i
$53$	−6.81158	+	9.72794i	−0.935642	+	1.33624i	0.00612942	+	0.999981i	$0.498049\pi$
$53$	−6.81158	+	9.72794i	−0.935642	+	1.33624i	−0.941771	+	0.336254i	$0.890840\pi$
$54$	−0.238052	−	0.654043i	−0.0323948	−	0.0890040i
$55$	−7.52658	+	0.897386i	−1.01488	+	0.121004i
$56$		−	0.471614i		−	0.0630220i
$57$	−0.682873	−	4.30508i	−0.0904487	−	0.570221i
$58$	−3.27292	+	3.27292i	−0.429755	+	0.429755i
$59$	−4.80729	−	4.03379i	−0.625856	−	0.525155i	0.273782	−	0.961792i	$-0.411725\pi$
$59$	−4.80729	−	4.03379i	−0.625856	−	0.525155i	−0.899638	+	0.436636i	$0.856170\pi$
$60$	1.25848	+	3.14655i	0.162469	+	0.406218i
$61$	−1.65436	−	9.38236i	−0.211820	−	1.20129i	−0.886341	−	0.463033i	$-0.846761\pi$
$61$	−1.65436	−	9.38236i	−0.211820	−	1.20129i	0.674521	−	0.738255i	$-0.264350\pi$
$62$	1.24553	−	0.872132i	0.158183	−	0.110761i
$63$	0.174682	−	0.0814554i	0.0220078	−	0.0102624i
$64$	1.20677	−	0.696726i	0.150846	−	0.0870908i
$65$	−2.28166	+	4.25514i	−0.283005	+	0.527785i
$66$	−1.80739	+	1.51658i	−0.222475	+	0.186678i
$67$	−0.768076	+	8.77915i	−0.0938355	+	1.07254i	0.792616	+	0.609722i	$0.208719\pi$
$67$	−0.768076	+	8.77915i	−0.0938355	+	1.07254i	−0.886451	+	0.462822i	$0.846837\pi$
$68$	2.72191	+	10.1583i	0.330081	+	1.23188i
$69$	2.61267	+	4.52527i	0.314528	+	0.544779i
$70$	0.267750	−	0.135246i	0.0320023	−	0.0161650i
$71$	2.15751	+	0.380428i	0.256050	+	0.0451485i	0.300199	−	0.953876i	$-0.402947\pi$
$71$	2.15751	+	0.380428i	0.256050	+	0.0451485i	−0.0441498	+	0.999025i	$0.514058\pi$
$72$	2.00438	+	1.40348i	0.236218	+	0.165402i
$73$	−3.66082	+	7.85066i	−0.428467	+	0.918850i	0.566998	+	0.823719i	$0.308105\pi$
$73$	−3.66082	+	7.85066i	−0.428467	+	0.918850i	−0.995465	+	0.0951309i	$0.969673\pi$
$74$	3.22492	−	3.84331i	0.374889	−	0.446775i
$75$	−3.30666	+	3.75047i	−0.381820	+	0.433066i
$76$	4.59012	+	4.75102i	0.526523	+	0.544980i
$77$	−0.461992	−	0.461992i	−0.0526488	−	0.0526488i
$78$	0.130986	+	1.49717i	0.0148312	+	0.169521i
$79$	7.22404	−	2.62934i	0.812768	−	0.295823i	0.0980014	−	0.995186i	$-0.468755\pi$
$79$	7.22404	−	2.62934i	0.812768	−	0.295823i	0.714767	+	0.699363i	$0.246533\pi$
$80$	−2.48481	−	1.62606i	−0.277810	−	0.181799i
$81$	−0.173648	+	0.984808i	−0.0192942	+	0.109423i
$82$	2.52424	+	5.41325i	0.278756	+	0.597793i
$83$	2.59137	+	0.694355i	0.284440	+	0.0762154i	0.398218	−	0.917291i	$-0.369629\pi$
$83$	2.59137	+	0.694355i	0.284440	+	0.0762154i	−0.113778	+	0.993506i	$0.536295\pi$
$84$	−0.146054	+	0.252973i	−0.0159358	+	0.0276017i
$85$	−11.5672	+	10.3420i	−1.25464	+	1.12175i
$86$	−0.523002	−	0.623290i	−0.0563968	−	0.0672111i
$87$	6.42353	−	1.72118i	0.688674	−	0.184530i
$88$	2.14679	−	8.01192i	0.228848	−	0.854073i
$89$	0.466220	+	0.169690i	0.0494192	+	0.0179871i	0.366611	−	0.930374i	$-0.380518\pi$
$89$	0.466220	+	0.169690i	0.0494192	+	0.0179871i	−0.317192	+	0.948361i	$0.602740\pi$
$90$	−0.222001	+	1.54043i	−0.0234009	+	0.162376i
$91$	−0.409855	+	0.0722684i	−0.0429644	+	0.00757579i
$92$	−7.17732	−	3.34684i	−0.748288	−	0.348932i
$93$	−2.17628	+	0.190400i	−0.225670	+	0.0197435i
$94$	−4.24620			−0.437963
$95$	−3.20340	+	9.20534i	−0.328662	+	0.944448i
$96$	−5.81812			−0.593810
$97$	2.57139	−	0.224967i	0.261085	−	0.0228420i	0.0441382	−	0.999025i	$-0.485946\pi$
$97$	2.57139	−	0.224967i	0.261085	−	0.0228420i	0.216947	+	0.976183i	$0.430390\pi$
$98$	−4.39221	−	2.04812i	−0.443681	−	0.206892i
$99$	3.33833	−	0.588637i	0.335515	−	0.0591603i
$100$	0.844894	−	7.53054i	0.0844894	−	0.753054i
$101$	12.7562	+	4.64289i	1.26929	+	0.461985i	0.886877	−	0.462005i	$-0.152870\pi$
$101$	12.7562	+	4.64289i	1.26929	+	0.461985i	0.382416	+	0.923990i	$0.375092\pi$
$102$	−1.25004	+	4.66520i	−0.123772	+	0.461923i
$103$	11.4209	−	3.06022i	1.12533	−	0.301532i	0.352294	−	0.935890i	$-0.385402\pi$
$103$	11.4209	−	3.06022i	1.12533	−	0.301532i	0.773040	+	0.634357i	$0.218735\pi$
$104$	−3.39617	−	4.04740i	−0.333022	−	0.396880i
$105$	−0.430307	−	0.0240638i	−0.0419937	−	0.00234838i
$106$	4.13283	−	7.15826i	0.401415	−	0.695272i
$107$	−9.71954	−	2.60434i	−0.939624	−	0.251771i	−0.243670	−	0.969858i	$-0.578351\pi$
$107$	−9.71954	−	2.60434i	−0.939624	−	0.251771i	−0.695954	+	0.718087i	$0.745018\pi$
$108$	−0.640503	−	1.37356i	−0.0616324	−	0.132171i
$109$	−1.00018	+	5.67232i	−0.0958002	+	0.543310i	0.898699	+	0.438566i	$0.144513\pi$
$109$	−1.00018	+	5.67232i	−0.0958002	+	0.543310i	−0.994499	+	0.104744i	$0.966598\pi$
$110$	5.16426	−	1.07880i	0.492393	−	0.102859i
$111$	−6.77355	+	2.46537i	−0.642917	+	0.234002i
$112$	−0.0223088	−	0.254991i	−0.00210799	−	0.0240944i
$113$	−2.77599	−	2.77599i	−0.261143	−	0.261143i	0.564375	−	0.825518i	$-0.309117\pi$
$113$	−2.77599	−	2.77599i	−0.261143	−	0.261143i	−0.825518	+	0.564375i	$0.809117\pi$
$114$	0.734638	+	2.94359i	0.0688051	+	0.275692i
$115$	−0.366851	−	11.6784i	−0.0342090	−	1.08902i
$116$	−6.47843	+	7.72069i	−0.601507	+	0.716848i
$117$	0.912547	−	1.95696i	0.0843650	−	0.180921i
$118$	3.57793	+	2.50529i	0.329375	+	0.230631i
$119$	−1.31713	−	0.232245i	−0.120741	−	0.0212899i
$120$	−2.46687	−	4.88375i	−0.225194	−	0.445823i
$121$	−0.245467	−	0.425161i	−0.0223151	−	0.0386510i
$122$	1.71624	+	6.40509i	0.155381	+	0.579890i
$123$	0.747924	−	8.54881i	0.0674380	−	0.770820i
$124$	2.53628	−	2.12819i	0.227765	−	0.191117i
$125$	10.4793	−	3.89673i	0.937296	−	0.348534i
$126$	−0.116178	+	0.0670752i	−0.0103499	+	0.00597554i
$127$	17.0692	−	7.95952i	1.51465	−	0.706293i	0.525175	−	0.850994i	$-0.324000\pi$
$127$	17.0692	−	7.95952i	1.51465	−	0.706293i	0.989475	+	0.144701i	$0.0462222\pi$
$128$	8.73738	−	6.11798i	0.772283	−	0.540758i
$129$	0.202995	+	1.15124i	0.0178727	+	0.101361i
$130$	1.32391	−	3.08880i	0.116115	−	0.270905i
$131$	−10.7812	−	9.04652i	−0.941959	−	0.790398i	0.0359658	−	0.999353i	$-0.488549\pi$
$131$	−10.7812	−	9.04652i	−0.941959	−	0.790398i	−0.977925	+	0.208955i	$0.932994\pi$
$132$	−3.63275	+	3.63275i	−0.316190	+	0.316190i
$133$	−0.794299	+	0.273703i	−0.0688744	+	0.0237331i
$134$		−	6.13379i		−	0.529879i
$135$	1.38283	−	1.75721i	0.119015	−	0.151237i
$136$	−5.80727	−	15.9554i	−0.497970	−	1.36816i
$137$	−4.11959	+	5.88338i	−0.351960	+	0.502651i	−0.955625	−	0.294587i	$-0.904818\pi$
$137$	−4.11959	+	5.88338i	−0.351960	+	0.502651i	0.603665	+	0.797238i	$0.293707\pi$
$138$	−2.08606	−	2.97920i	−0.177577	−	0.253606i
$139$	4.96460	−	13.6401i	0.421092	−	1.15694i	−0.529990	−	0.848004i	$-0.677804\pi$
$139$	4.96460	−	13.6401i	0.421092	−	1.15694i	0.951082	−	0.308937i	$-0.0999733\pi$
$140$	0.555133	−	0.344186i	0.0469173	−	0.0290891i
$141$	5.28337	+	3.05035i	0.444940	+	0.256886i
$142$	−1.51903	−	0.132898i	−0.127474	−	0.0111526i
$143$	−7.29170	−	0.637941i	−0.609762	−	0.0533473i
$144$	1.15011	+	0.664017i	0.0958426	+	0.0553347i
$145$	−14.4772	−	3.39580i	−1.20227	−	0.282006i
$146$	2.06207	−	5.66548i	0.170658	−	0.468879i
$147$	3.99373	+	5.70363i	0.329397	+	0.470428i
$148$	6.26606	−	8.94885i	0.515067	−	0.735591i
$149$	−2.75049	−	7.55690i	−0.225329	−	0.619086i	0.774582	−	0.632474i	$-0.217960\pi$
$149$	−2.75049	−	7.55690i	−0.225329	−	0.619086i	−0.999910	+	0.0133883i	$0.995738\pi$
$150$	2.06523	−	2.80105i	0.168625	−	0.228705i
$151$			13.6744i			1.11281i	0.830913	+	0.556403i	$0.187819\pi$
$151$			13.6744i			1.11281i	−0.830913	+	0.556403i	$0.812181\pi$
$152$	−8.05116	−	6.99552i	−0.653035	−	0.567411i
$153$	4.90671	−	4.90671i	0.396684	−	0.396684i
$154$	0.348356	+	0.292306i	0.0280714	+	0.0235547i
$155$	4.48986	+	1.92443i	0.360634	+	0.154574i
$156$	0.568263	+	3.22278i	0.0454975	+	0.258029i
$157$	12.3093	−	8.61903i	0.982386	−	0.687874i	0.0321750	−	0.999482i	$-0.489757\pi$
$157$	12.3093	−	8.61903i	0.982386	−	0.687874i	0.950211	+	0.311608i	$0.100868\pi$
$158$	−4.84943	+	2.26133i	−0.385800	+	0.179902i
$159$	−10.2846	+	5.93781i	−0.815621	+	0.470899i
$160$	11.4654	+	6.14791i	0.906421	+	0.486035i
$161$	0.771506	−	0.647371i	0.0608032	−	0.0510200i
$162$	0.0606620	−	0.693370i	0.00476606	−	0.0544763i
$163$	−3.70896	−	13.8420i	−0.290508	−	1.08419i	−0.944720	−	0.327880i	$-0.893666\pi$
$163$	−3.70896	−	13.8420i	−0.290508	−	1.08419i	0.654211	−	0.756312i	$-0.273001\pi$
$164$	6.50286	+	11.2633i	0.507788	+	0.879514i
$165$	−7.20065	−	2.36756i	−0.560570	−	0.184314i
$166$	−1.83890	−	0.324247i	−0.142726	−	0.0251665i
$167$	6.23499	+	4.36579i	0.482478	+	0.337835i	0.789378	−	0.613907i	$-0.210403\pi$
$167$	6.23499	+	4.36579i	0.482478	+	0.337835i	−0.306900	+	0.951742i	$0.599292\pi$
$168$	0.199313	−	0.427427i	0.0153773	−	0.0329767i
$169$	5.35928	−	6.38694i	0.412252	−	0.491303i
$170$	7.39300	−	7.87253i	0.567018	−	0.603796i
$171$	1.20051	−	4.19032i	0.0918054	−	0.320442i
$172$	−1.25277	−	1.25277i	−0.0955232	−	0.0955232i
$173$	1.27326	+	14.5535i	0.0968045	+	1.10648i	0.876852	+	0.480760i	$0.159639\pi$
$173$	1.27326	+	14.5535i	0.0968045	+	1.10648i	−0.780047	+	0.625720i	$0.784805\pi$
$174$	−4.34947	+	1.58308i	−0.329732	+	0.120013i
$175$	0.822553	+	0.502119i	0.0621791	+	0.0379566i
$176$	0.781730	−	4.43341i	0.0589251	−	0.334181i
$177$	−2.65213	−	5.68751i	−0.199346	−	0.427499i
$178$	−0.333556	−	0.0893761i	−0.0250011	−	0.00669903i
$179$	−1.76075	+	3.04972i	−0.131605	+	0.227946i	−0.924295	−	0.381678i	$-0.875346\pi$
$179$	−1.76075	+	3.04972i	−0.131605	+	0.227946i	0.792690	+	0.609624i	$0.208680\pi$
$180$	−0.189219	+	3.38360i	−0.0141036	+	0.252199i
$181$	12.5411	+	14.9460i	0.932176	+	1.11092i	0.993616	+	0.112813i	$0.0359861\pi$
$181$	12.5411	+	14.9460i	0.932176	+	1.11092i	−0.0614406	+	0.998111i	$0.519569\pi$
$182$	0.279797	−	0.0749713i	0.0207399	−	0.00555724i
$183$	2.46580	−	9.20247i	0.182277	−	0.680266i
$184$	12.0148	+	4.37301i	0.885740	+	0.322383i
$185$	15.9533	+	2.29913i	1.17291	+	0.169036i
$186$	1.49742	−	0.264035i	0.109796	−	0.0193600i
$187$	−21.3186	−	9.94103i	−1.55897	−	0.726960i
$188$	−9.21079	+	0.805840i	−0.671766	+	0.0587719i
$189$	0.192740			0.0140198
$190$	1.66273	−	6.57703i	0.120627	−	0.477148i
$191$	20.1484			1.45789			0.728943	−	0.684575i	$-0.240012\pi$
$191$	20.1484			1.45789			0.728943	+	0.684575i	$0.240012\pi$
$192$	1.38815	−	0.121447i	0.100181	−	0.00876471i
$193$	5.50289	+	2.56604i	0.396107	+	0.184708i	0.610457	−	0.792049i	$-0.290986\pi$
$193$	5.50289	+	2.56604i	0.396107	+	0.184708i	−0.214351	+	0.976757i	$0.568764\pi$
$194$	−1.76928	+	0.311971i	−0.127027	+	0.0223982i
$195$	−3.86619	+	2.89220i	−0.276864	+	0.207114i
$196$	−9.91621	−	3.60920i	−0.708301	−	0.257800i
$197$	−4.33432	+	16.1759i	−0.308808	+	1.15249i	0.620810	+	0.783961i	$0.286804\pi$
$197$	−4.33432	+	16.1759i	−0.308808	+	1.15249i	−0.929618	+	0.368525i	$0.879863\pi$
$198$	−2.27899	+	0.610653i	−0.161961	+	0.0433972i
$199$	−6.31500	−	7.52592i	−0.447658	−	0.533498i	0.494272	−	0.869307i	$-0.335435\pi$
$199$	−6.31500	−	7.52592i	−0.447658	−	0.533498i	−0.941930	+	0.335809i	$0.890990\pi$
$200$	−0.299248	+	12.2308i	−0.0211600	+	0.864849i
$201$	−4.40634	+	7.63201i	−0.310800	+	0.538321i
$202$	−9.12644	−	2.44542i	−0.642134	−	0.172059i
$203$	−0.541688	−	1.16165i	−0.0380191	−	0.0815321i
$204$	−1.82620	+	10.3569i	−0.127860	+	0.725128i
$205$	−10.5073	+	16.0563i	−0.733859	+	1.12142i
$206$	−7.73326	+	2.81468i	−0.538802	+	0.196108i
$207$	0.455418	+	5.20545i	0.0316537	+	0.361804i
$208$	−2.02769	−	2.02769i	−0.140595	−	0.140595i
$209$	−14.7397	+	1.03411i	−1.01957	+	0.0715307i
$210$	0.299822	−	0.00941819i	0.0206897	−	0.000649917i
$211$	1.37685	−	1.64086i	0.0947859	−	0.112961i	−0.716566	−	0.697519i	$-0.754287\pi$
$211$	1.37685	−	1.64086i	0.0947859	−	0.112961i	0.811352	+	0.584557i	$0.198732\pi$
$212$	7.60637	−	16.3119i	0.522407	−	1.12031i
$213$	1.79460	+	1.25659i	0.122964	+	0.0861001i
$214$	6.89722	+	1.21617i	0.471485	+	0.0831354i
$215$	0.816467	−	2.48319i	0.0556826	−	0.169352i
$216$	1.22345	+	2.11907i	0.0832450	+	0.144185i
$217$	0.108978	+	0.406711i	0.00739790	+	0.0276093i
$218$	0.349403	−	3.99369i	0.0236645	−	0.270487i
$219$	−6.63566	+	5.56798i	−0.448397	+	0.376249i
$220$	10.9975	−	3.32018i	0.741451	−	0.223846i
$221$	−12.9761	+	7.49173i	−0.872865	+	0.503949i
$222$	4.54702	−	2.12031i	0.305176	−	0.142306i
$223$	−14.7242	+	10.3100i	−0.986008	+	0.690410i	−0.951069	−	0.308979i	$-0.900013\pi$
$223$	−14.7242	+	10.3100i	−0.986008	+	0.690410i	−0.0349391	+	0.999389i	$0.511124\pi$
$224$	0.194726	+	1.10435i	0.0130107	+	0.0737873i
$225$	−4.58187	+	2.00162i	−0.305458	+	0.133441i
$226$	2.09318	+	1.75639i	0.139237	+	0.116833i
$227$	−4.14462	+	4.14462i	−0.275088	+	0.275088i	−0.831144	−	0.556057i	$-0.812314\pi$
$227$	−4.14462	+	4.14462i	−0.275088	+	0.275088i	0.556057	+	0.831144i	$0.312314\pi$
$228$	2.15219	+	6.24576i	0.142533	+	0.413635i
$229$			22.4455i			1.48324i	0.670821	+	0.741619i	$0.265942\pi$
$229$			22.4455i			1.48324i	−0.670821	+	0.741619i	$0.734058\pi$
$230$	0.962801	+	8.07523i	0.0634852	+	0.532465i
$231$	−0.223461	−	0.613953i	−0.0147026	−	0.0403951i
$232$	9.33332	−	13.3294i	0.612762	−	0.875115i
$233$	−2.04942	−	2.92687i	−0.134262	−	0.191746i	0.746391	−	0.665507i	$-0.231785\pi$
$233$	−2.04942	−	2.92687i	−0.134262	−	0.191746i	−0.880653	+	0.473762i	$0.842896\pi$
$234$	−0.514019	+	1.41226i	−0.0336025	+	0.0923220i
$235$	−7.18836	−	11.5940i	−0.468917	−	0.756309i
$236$	8.23663	+	4.75542i	0.536159	+	0.309551i
$237$	7.65841	+	0.670024i	0.497467	+	0.0435228i
$238$	0.927346	+	0.0811323i	0.0601109	+	0.00525903i
$239$	−8.64517	−	4.99129i	−0.559210	−	0.322860i	0.193619	−	0.981077i	$-0.437978\pi$
$239$	−8.64517	−	4.99129i	−0.559210	−	0.322860i	−0.752828	+	0.658217i	$0.771311\pi$
$240$	−1.56480	−	2.52384i	−0.101007	−	0.162913i
$241$	−10.2338	+	28.1170i	−0.659215	+	1.81118i	−0.0787480	+	0.996895i	$0.525092\pi$
$241$	−10.2338	+	28.1170i	−0.659215	+	1.81118i	−0.580467	+	0.814284i	$0.697130\pi$
$242$	0.195990	+	0.279903i	0.0125987	+	0.0179929i
$243$	−0.573576	+	0.819152i	−0.0367949	+	0.0525486i
$244$	4.93839	+	13.5681i	0.316148	+	0.868609i
$245$	−1.84327	−	15.4599i	−0.117762	−	0.987697i
$246$			5.97286i			0.380816i
$247$	−4.84570	+	8.06880i	−0.308325	+	0.513406i
$248$	−3.77981	+	3.77981i	−0.240018	+	0.240018i
$249$	2.05513	+	1.72446i	0.130239	+	0.109283i
$250$	−7.02964	+	3.33757i	−0.444594	+	0.211086i
$251$	−4.56260	−	25.8758i	−0.287989	−	1.63327i	−0.694409	−	0.719580i	$-0.744334\pi$
$251$	−4.56260	−	25.8758i	−0.287989	−	1.63327i	0.406420	−	0.913686i	$-0.366777\pi$
$252$	−0.239281	+	0.167547i	−0.0150733	+	0.0105544i
$253$	16.0534	−	7.48583i	1.00927	−	0.470630i
$254$	−11.3525	+	6.55434i	−0.712316	+	0.411256i
$255$	−14.8542	+	4.48453i	−0.930206	+	0.280832i
$256$	−7.82200	+	6.56344i	−0.488875	+	0.410215i
$257$	−0.137726	+	1.57421i	−0.00859109	+	0.0981966i	−0.999280	−	0.0379515i	$-0.987917\pi$
$257$	−0.137726	+	1.57421i	−0.00859109	+	0.0981966i	0.990688	+	0.136148i	$0.0434723\pi$
$258$	−0.210587	−	0.785923i	−0.0131106	−	0.0489294i
$259$	0.694659	+	1.20318i	0.0431640	+	0.0747623i
$260$	2.28561	−	6.95142i	0.141748	−	0.431109i
$261$	6.54909	+	1.15478i	0.405379	+	0.0714792i
$262$	8.02415	+	5.61857i	0.495734	+	0.347116i
$263$	2.57794	−	5.52841i	0.158963	−	0.340896i	−0.810654	−	0.585525i	$-0.800888\pi$
$263$	2.57794	−	5.52841i	0.158963	−	0.340896i	0.969617	+	0.244629i	$0.0786661\pi$
$264$	5.33163	−	6.35399i	0.328139	−	0.391061i
$265$	26.5416	−	0.833741i	1.63044	−	0.0512163i
$266$	0.534139	−	0.237961i	0.0327502	−	0.0145904i
$267$	0.350824	+	0.350824i	0.0214701	+	0.0214701i
$268$	−1.16406	−	13.3053i	−0.0711066	−	0.812752i
$269$	15.1223	−	5.50406i	0.922022	−	0.335588i	0.162979	−	0.986630i	$-0.447890\pi$
$269$	15.1223	−	5.50406i	0.922022	−	0.335588i	0.759042	+	0.651041i	$0.225667\pi$
$270$	−0.852215	+	1.30228i	−0.0518641	+	0.0792544i
$271$	−1.31423	+	7.45337i	−0.0798338	+	0.452760i	0.918518	+	0.395378i	$0.129386\pi$
$271$	−1.31423	+	7.45337i	−0.0798338	+	0.452760i	−0.998352	+	0.0573820i	$0.981725\pi$
$272$	−3.89460	−	8.35200i	−0.236145	−	0.506414i
$273$	−0.401996	−	0.107715i	−0.0243299	−	0.00651918i
$274$	2.49950	−	4.32926i	0.151000	−	0.261540i
$275$	11.6881	+	12.2744i	0.704820	+	0.740175i
$276$	−5.09043	−	6.06654i	−0.306408	−	0.365162i
$277$	13.1779	−	3.53100i	0.791782	−	0.212157i	0.159809	−	0.987148i	$-0.448912\pi$
$277$	13.1779	−	3.53100i	0.791782	−	0.212157i	0.631973	+	0.774990i	$0.282245\pi$
$278$	−2.61487	+	9.75882i	−0.156829	+	0.585295i
$279$	−2.05285	−	0.747175i	−0.122901	−	0.0447322i
$280$	−0.844428	+	0.631695i	−0.0504642	+	0.0377510i
$281$	26.3845	−	4.65230i	1.57397	−	0.277533i	0.682593	−	0.730799i	$-0.260852\pi$
$281$	26.3845	−	4.65230i	1.57397	−	0.277533i	0.891376	+	0.453265i	$0.149741\pi$
$282$	−3.84837	−	1.79452i	−0.229167	−	0.106862i
$283$	−7.52421	+	0.658283i	−0.447268	+	0.0391309i	−0.308565	−	0.951203i	$-0.599849\pi$
$283$	−7.52421	+	0.658283i	−0.447268	+	0.0391309i	−0.138703	+	0.990334i	$0.544293\pi$
$284$	−3.32028			−0.197022
$285$	−6.79361	+	6.98905i	−0.402419	+	0.413996i
$286$	5.09454			0.301247
$287$	−1.64770	+	0.144155i	−0.0972604	+	0.00850919i
$288$	−5.27301	−	2.45884i	−0.310715	−	0.144889i
$289$	−30.6784	+	5.40943i	−1.80461	+	0.318202i
$290$	10.2440	+	1.47633i	0.601551	+	0.0866932i
$291$	2.42554	+	0.882826i	0.142188	+	0.0517522i
$292$	3.39781	−	12.6808i	0.198842	−	0.742088i
$293$	−11.7580	+	3.15055i	−0.686911	+	0.184057i	−0.585361	−	0.810773i	$-0.699047\pi$
$293$	−11.7580	+	3.15055i	−0.686911	+	0.184057i	−0.101551	+	0.994830i	$0.532380\pi$
$294$	−3.11512	−	3.71246i	−0.181678	−	0.216515i
$295$	−0.783499	+	14.0105i	−0.0456171	+	0.815722i
$296$	−8.81892	+	15.2748i	−0.512589	+	0.887831i
$297$	3.27432	+	0.877352i	0.189995	+	0.0509091i
$298$	2.36552	+	5.07288i	0.137031	+	0.293864i
$299$	1.95926	−	11.1115i	0.113307	−	0.642594i
$300$	3.94828	−	6.46792i	0.227954	−	0.373426i
$301$	0.211725	−	0.0770617i	0.0122036	−	0.00444176i
$302$	−0.829515	−	9.48140i	−0.0477332	−	0.545593i
$303$	9.59891	+	9.59891i	0.551443	+	0.551443i
$304$	−4.68399	−	3.40147i	−0.268645	−	0.195088i
$305$	−14.5833	+	15.5292i	−0.835037	+	0.889199i
$306$	−3.10452	+	3.69982i	−0.177473	+	0.211504i
$307$	12.1779	−	26.1155i	0.695027	−	1.49049i	−0.168242	−	0.985746i	$-0.553809\pi$
$307$	12.1779	−	26.1155i	0.695027	−	1.49049i	0.863269	−	0.504744i	$-0.168413\pi$
$308$	0.811122	+	0.567954i	0.0462180	+	0.0323622i
$309$	11.6441	+	2.05318i	0.662412	+	0.116801i
$310$	−3.22987	−	1.06198i	−0.183444	−	0.0603162i
$311$	9.26325	+	16.0444i	0.525271	+	0.909795i	0.999567	+	0.0294301i	$0.00936924\pi$
$311$	9.26325	+	16.0444i	0.525271	+	0.909795i	−0.474296	+	0.880365i	$0.657297\pi$
$312$	−1.36747	−	5.10347i	−0.0774178	−	0.288927i
$313$	−0.277135	+	3.16767i	−0.0156646	+	0.179047i	0.984332	+	0.176327i	$0.0564215\pi$
$313$	−0.277135	+	3.16767i	−0.0156646	+	0.179047i	−0.999996	+	0.00272050i	$0.999134\pi$
$314$	−8.01202	+	6.72288i	−0.452144	+	0.379394i
$315$	−0.379821	−	0.203665i	−0.0214005	−	0.0114752i
$316$	−10.0902	+	5.82555i	−0.567616	+	0.327713i
$317$	4.76570	−	2.22228i	0.267669	−	0.124816i	−0.284151	−	0.958780i	$-0.591712\pi$
$317$	4.76570	−	2.22228i	0.267669	−	0.124816i	0.551819	+	0.833964i	$0.313934\pi$
$318$	6.77082	−	4.74098i	0.379689	−	0.265861i
$319$	−3.91451	−	22.2003i	−0.219171	−	1.24298i
$320$	−2.86388	−	1.22751i	−0.160096	−	0.0686196i
$321$	−7.70826	−	6.46799i	−0.430233	−	0.361008i
$322$	−0.495668	+	0.495668i	−0.0276225	+	0.0276225i
$323$	−23.5020	+	19.0405i	−1.30768	+	1.05944i
$324$		−	1.51556i		−	0.0841977i
$325$	10.6750	−	1.61414i	0.592142	−	0.0895366i
$326$	3.41137	+	9.37265i	0.188938	+	0.519103i
$327$	−3.30370	+	4.71817i	−0.182695	+	0.260916i
$328$	−12.0439	−	17.2005i	−0.665014	−	0.949739i
$329$	0.402164	−	1.10494i	0.0221720	−	0.0609171i
$330$	5.13633	+	1.20479i	0.282746	+	0.0663215i
$331$	10.1471	+	5.85845i	0.557737	+	0.322010i	0.752237	−	0.658893i	$-0.228975\pi$
$331$	10.1471	+	5.85845i	0.557737	+	0.322010i	−0.194500	+	0.980903i	$0.562308\pi$
$332$	−4.05044	−	0.354368i	−0.222297	−	0.0194485i
$333$	−7.18083	−	0.628241i	−0.393507	−	0.0344274i
$334$	−4.58799	−	2.64888i	−0.251044	−	0.144940i
$335$	16.7479	−	10.3838i	0.915037	−	0.567330i
$336$	0.0875452	−	0.240528i	0.00477598	−	0.0131219i
$337$	7.24603	+	10.3484i	0.394716	+	0.563713i	0.966492	−	0.256697i	$-0.0826342\pi$
$337$	7.24603	+	10.3484i	0.394716	+	0.563713i	−0.571776	+	0.820410i	$0.693745\pi$
$338$	−3.32852	+	4.75362i	−0.181047	+	0.258563i
$339$	−1.34272	−	3.68908i	−0.0729264	−	0.200364i
$340$	14.5427	−	18.4800i	0.788691	−	1.00222i
$341$			7.40539i			0.401024i
$342$	−0.578205	+	2.97827i	−0.0312658	+	0.161046i
$343$	1.90296	−	1.90296i	0.102750	−	0.102750i
$344$	2.19121	+	1.83864i	0.118142	+	0.0991331i
$345$	4.60304	−	10.7393i	0.247820	−	0.578185i
$346$	−1.76569	−	10.0137i	−0.0949239	−	0.538340i
$347$	−15.5150	+	10.8637i	−0.832890	+	0.583196i	−0.910369	−	0.413798i	$-0.864202\pi$
$347$	−15.5150	+	10.8637i	−0.832890	+	0.583196i	0.0774785	+	0.996994i	$0.475313\pi$
$348$	−9.13436	+	4.25942i	−0.489653	+	0.228329i
$349$	−28.7967	+	16.6258i	−1.54145	+	0.889959i	−0.542706	+	0.839923i	$0.682600\pi$
$349$	−28.7967	+	16.6258i	−1.54145	+	0.889959i	−0.998747	+	0.0500357i	$0.984066\pi$
$350$	−0.600793	−	0.298256i	−0.0321137	−	0.0159425i
$351$	1.65410	−	1.38795i	0.0882891	−	0.0740834i
$352$	−1.71892	+	19.6474i	−0.0916189	+	1.04721i
$353$	0.0162728	+	0.0607309i	0.000866114	+	0.00323238i	0.966358	−	0.257202i	$-0.0828007\pi$
$353$	0.0162728	+	0.0607309i	0.000866114	+	0.00323238i	−0.965491	+	0.260435i	$0.916134\pi$
$354$	2.18392	+	3.78266i	0.116074	+	0.201046i
$355$	−2.20869	−	4.37260i	−0.117225	−	0.232074i
$356$	−0.740506	−	0.130571i	−0.0392468	−	0.00692026i
$357$	−1.09557	−	0.767129i	−0.0579839	−	0.0406008i
$358$	1.03585	−	2.22139i	0.0547465	−	0.117404i
$359$	16.1846	−	19.2880i	0.854190	−	1.01798i	−0.145401	−	0.989373i	$-0.546447\pi$
$359$	16.1846	−	19.2880i	0.854190	−	1.01798i	0.999591	−	0.0286106i	$-0.00910829\pi$
$360$	−0.171787	−	5.46872i	−0.00905397	−	0.288227i
$361$	−7.10942	+	17.6198i	−0.374180	+	0.927356i
$362$	−9.60230	−	9.60230i	−0.504686	−	0.504686i
$363$	−0.0427877	−	0.489065i	−0.00224577	−	0.0256693i
$364$	0.592702	−	0.215726i	0.0310661	−	0.0113071i
$365$	18.9601	−	3.96070i	0.992417	−	0.207313i
$366$	−1.15147	+	6.53030i	−0.0601882	+	0.341344i
$367$	5.40005	+	11.5804i	0.281880	+	0.604494i	0.995364	−	0.0961775i	$-0.0306617\pi$
$367$	5.40005	+	11.5804i	0.281880	+	0.604494i	−0.713484	+	0.700671i	$0.752884\pi$
$368$	6.70297	+	1.79605i	0.349416	+	0.0936258i
$369$	4.29073	−	7.43177i	0.223367	−	0.386882i
$370$	−11.2010	−	0.626388i	−0.582314	−	0.0325644i
$371$	1.47128	+	1.75340i	0.0763850	+	0.0910322i
$372$	3.19806	−	0.856918i	0.165812	−	0.0444291i
$373$	−0.429109	+	1.60146i	−0.0222184	+	0.0829203i	−0.976145	−	0.217120i	$-0.930334\pi$
$373$	−0.429109	+	1.60146i	−0.0222184	+	0.0829203i	0.953926	+	0.300041i	$0.0970003\pi$
$374$	15.3847	+	5.59958i	0.795525	+	0.289548i
$375$	11.1443	+	0.897107i	0.575489	+	0.0463264i
$376$	14.7010	−	2.59218i	0.758146	−	0.133682i
$377$	−13.0140	−	6.06855i	−0.670257	−	0.312546i
$378$	−0.133640	+	0.0116920i	−0.00687370	+	0.000601371i
$379$	16.9664			0.871503			0.435752	−	0.900067i	$-0.356483\pi$
$379$	16.9664			0.871503			0.435752	+	0.900067i	$0.356483\pi$
$380$	2.35858	−	14.5823i	0.120993	−	0.748058i
$381$	18.8338			0.964886
$382$	−13.9703	+	1.22224i	−0.714781	+	0.0625353i
$383$	−13.1219	−	6.11883i	−0.670496	−	0.312658i	0.0573936	−	0.998352i	$-0.481721\pi$
$383$	−13.1219	−	6.11883i	−0.670496	−	0.312658i	−0.727890	+	0.685694i	$0.759499\pi$
$384$	10.5043	−	1.85220i	0.536047	−	0.0945195i
$385$	−0.208393	+	1.44601i	−0.0106207	+	0.0736953i
$386$	−3.97120	−	1.44540i	−0.202129	−	0.0735688i
$387$	−0.302560	+	1.12917i	−0.0153800	+	0.0573989i
$388$	−3.77868	+	1.01249i	−0.191833	+	0.0514016i
$389$	−19.9850	−	23.8172i	−1.01328	−	1.20758i	−0.978087	−	0.208198i	$-0.933240\pi$
$389$	−19.9850	−	23.8172i	−1.01328	−	1.20758i	−0.0351924	−	0.999381i	$-0.511204\pi$
$390$	2.50525	−	2.23989i	0.126858	−	0.113421i
$391$	18.1297	−	31.4015i	0.916856	−	1.58804i
$392$	16.4568	+	4.40959i	0.831195	+	0.222718i
$393$	−5.94788	−	12.7553i	−0.300031	−	0.643418i
$394$	2.02403	−	11.4788i	0.101969	−	0.578295i
$395$	−14.3840	−	9.41289i	−0.723736	−	0.473614i
$396$	−4.82765	+	1.75712i	−0.242599	+	0.0882987i
$397$	2.67575	+	30.5840i	0.134292	+	1.53497i	0.702263	+	0.711918i	$0.252173\pi$
$397$	2.67575	+	30.5840i	0.134292	+	1.53497i	−0.567971	+	0.823049i	$0.692271\pi$
$398$	4.83517	+	4.83517i	0.242365	+	0.242365i
$399$	−0.835551	−	0.0876256i	−0.0418299	−	0.00438677i
$400$	0.416759	+	6.62708i	0.0208380	+	0.331354i
$401$	−11.4635	+	13.6616i	−0.572458	+	0.682229i	−0.972134	−	0.234428i	$-0.924678\pi$
$401$	−11.4635	+	13.6616i	−0.572458	+	0.682229i	0.399676	+	0.916657i	$0.369123\pi$
$402$	2.59225	−	5.55910i	0.129290	−	0.277263i
$403$	3.86404	+	2.70563i	0.192482	+	0.134777i
$404$	−20.2610	−	3.57256i	−1.00802	−	0.177742i
$405$	1.99590	−	1.00817i	0.0991769	−	0.0500962i
$406$	0.446059	+	0.772596i	0.0221375	+	0.0383433i
$407$	6.32418	+	23.6022i	0.313478	+	1.16992i
$408$	1.47985	−	16.9147i	0.0732633	−	0.837403i
$409$	−19.0657	+	15.9980i	−0.942738	+	0.791051i	−0.978060	−	0.208325i	$-0.933199\pi$
$409$	−19.0657	+	15.9980i	−0.942738	+	0.791051i	0.0353220	+	0.999376i	$0.488754\pi$
$410$	6.31141	−	11.7704i	0.311699	−	0.581296i
$411$	−6.22004	+	3.59114i	−0.306812	+	0.177138i
$412$	−16.2407	+	7.57316i	−0.800121	+	0.373103i
$413$	−0.990791	+	0.693759i	−0.0487536	+	0.0341377i
$414$	−0.631546	−	3.58168i	−0.0310388	−	0.176030i
$415$	−2.22772	−	5.56991i	−0.109354	−	0.273416i
$416$	9.62373	+	8.07527i	0.471842	+	0.395923i
$417$	10.2640	−	10.2640i	0.502632	−	0.502632i
$418$	10.1573	−	1.61116i	0.496811	−	0.0788043i
$419$			1.33645i			0.0652901i	0.999467	+	0.0326450i	$0.0103931\pi$
$419$			1.33645i			0.0652901i	−0.999467	+	0.0326450i	$0.989607\pi$
$420$	0.648581	−	0.0773296i	0.0316475	−	0.00377330i
$421$	−4.21707	−	11.5863i	−0.205527	−	0.564681i	0.793510	−	0.608558i	$-0.208252\pi$
$421$	−4.21707	−	11.5863i	−0.205527	−	0.564681i	−0.999037	+	0.0438762i	$0.986029\pi$
$422$	−0.855125	+	1.22125i	−0.0416268	+	0.0594493i
$423$	3.49922	+	4.99741i	0.170138	+	0.242982i
$424$	−9.93855	+	27.3059i	−0.482659	+	1.32609i
$425$	34.0110	+	6.85879i	1.64978	+	0.332700i
$426$	−1.32055	−	0.762417i	−0.0639806	−	0.0369392i
$427$	−1.82926	−	0.160040i	−0.0885243	−	0.00774487i
$428$	15.1921	+	1.32914i	0.734340	+	0.0642464i
$429$	−6.33892	−	3.65978i	−0.306046	−	0.176696i
$430$	−0.415479	+	1.77129i	−0.0200362	+	0.0854194i
$431$	2.50275	−	6.87626i	0.120553	−	0.331218i	−0.864708	−	0.502276i	$-0.832496\pi$
$431$	2.50275	−	6.87626i	0.120553	−	0.331218i	0.985261	+	0.171058i	$0.0547185\pi$
$432$	0.761729	+	1.08786i	0.0366487	+	0.0523398i
$433$	−7.55138	+	10.7845i	−0.362896	+	0.518270i	−0.958532	−	0.284985i	$-0.908011\pi$
$433$	−7.55138	+	10.7845i	−0.362896	+	0.518270i	0.595636	+	0.803255i	$0.296900\pi$
$434$	−0.100234	−	0.275390i	−0.00481138	−	0.0132192i
$435$	−11.6857	−	9.19597i	−0.560285	−	0.440913i
$436$		−	8.72935i		−	0.418060i
$437$	0.392269	−	22.7733i	0.0187648	−	1.08940i
$438$	4.26320	−	4.26320i	0.203704	−	0.203704i
$439$	−8.41002	−	7.05684i	−0.401388	−	0.336805i	0.419642	−	0.907690i	$-0.362156\pi$
$439$	−8.41002	−	7.05684i	−0.401388	−	0.336805i	−0.821030	+	0.570885i	$0.806600\pi$
$440$	−17.2209	+	6.88759i	−0.820973	+	0.328353i
$441$	1.20909	+	6.85707i	0.0575755	+	0.326527i
$442$	8.54275	−	5.98170i	0.406337	−	0.284520i
$443$	27.9554	−	13.0358i	1.32820	−	0.619351i	0.376513	−	0.926411i	$-0.377123\pi$
$443$	27.9554	−	13.0358i	1.32820	−	0.619351i	0.951690	+	0.307060i	$0.0993452\pi$
$444$	9.46092	−	5.46227i	0.448996	−	0.259228i
$445$	−0.320638	−	1.06206i	−0.0151997	−	0.0503464i
$446$	9.58392	−	8.04186i	0.453812	−	0.380793i
$447$	0.700897	−	8.01129i	0.0331513	−	0.378921i
$448$	−0.0695120	−	0.259422i	−0.00328414	−	0.0122566i
$449$	−1.99156	−	3.44949i	−0.0939877	−	0.162791i	0.815198	−	0.579182i	$-0.196628\pi$
$449$	−1.99156	−	3.44949i	−0.0939877	−	0.162791i	−0.909186	+	0.416391i	$0.863295\pi$
$450$	3.05551	−	1.66581i	0.144038	−	0.0785270i
$451$	−28.6478	−	5.05137i	−1.34897	−	0.237860i
$452$	4.87383	+	3.41269i	0.229245	+	0.160519i
$453$	−5.77904	+	12.3932i	−0.271523	+	0.582283i
$454$	2.62233	−	3.12517i	0.123072	−	0.146672i
$455$	0.678370	+	0.637049i	0.0318025	+	0.0298653i
$456$	−4.34040	−	9.74266i	−0.203258	−	0.456242i
$457$	−6.68640	−	6.68640i	−0.312777	−	0.312777i	0.533208	−	0.845984i	$-0.320986\pi$
$457$	−6.68640	−	6.68640i	−0.312777	−	0.312777i	−0.845984	+	0.533208i	$0.820986\pi$
$458$	−1.36159	−	15.5630i	−0.0636228	−	0.727212i
$459$	6.52066	−	2.37333i	0.304358	−	0.110777i
$460$	3.62100	+	17.3339i	0.168830	+	0.808198i
$461$	1.82416	−	10.3453i	0.0849594	−	0.481829i	−0.912406	−	0.409286i	$-0.865778\pi$
$461$	1.82416	−	10.3453i	0.0849594	−	0.481829i	0.997365	−	0.0725423i	$-0.0231112\pi$
$462$	0.192184	+	0.412141i	0.00894123	+	0.0191745i
$463$	−6.18856	−	1.65822i	−0.287607	−	0.0770640i	0.112131	−	0.993693i	$-0.464232\pi$
$463$	−6.18856	−	1.65822i	−0.287607	−	0.0770640i	−0.399738	+	0.916629i	$0.630899\pi$
$464$	4.41579	−	7.64838i	0.204998	−	0.355067i
$465$	3.25589	+	3.64162i	0.150988	+	0.168876i
$466$	1.59855	+	1.90508i	0.0740516	+	0.0882512i
$467$	26.8967	−	7.20694i	1.24463	−	0.333497i	0.424369	−	0.905489i	$-0.360496\pi$
$467$	26.8967	−	7.20694i	1.24463	−	0.333497i	0.820259	+	0.571992i	$0.193829\pi$
$468$	−0.846985	+	3.16099i	−0.0391519	+	0.146117i
$469$	1.59612	+	0.580940i	0.0737020	+	0.0268253i
$470$	5.68751	+	7.60286i	0.262345	+	0.350694i
$471$	14.7985	−	2.60938i	0.681881	−	0.120234i
$472$	−13.9167	−	6.48947i	−0.640569	−	0.298702i
$473$	3.94764	−	0.345373i	0.181513	−	0.0158803i
$474$	−5.35076			−0.245768
$475$	20.7730	−	6.59421i	0.953129	−	0.302563i
$476$	2.02698			0.0929065
$477$	−11.8304	+	1.03503i	−0.541678	+	0.0473907i
$478$	6.29708	+	2.93638i	0.288022	+	0.134307i
$479$	−10.9665	+	1.93369i	−0.501073	+	0.0883527i	−0.418471	−	0.908230i	$-0.637434\pi$
$479$	−10.9665	+	1.93369i	−0.501073	+	0.0883527i	−0.0826015	+	0.996583i	$0.526323\pi$
$480$	7.79299	+	10.4174i	0.355700	+	0.475487i
$481$	14.6259	+	5.32340i	0.666884	+	0.242726i
$482$	5.39015	−	20.1163i	0.245515	−	0.916273i
$483$	0.972813	−	0.260664i	0.0442645	−	0.0118606i
$484$	0.478258	+	0.569966i	0.0217390	+	0.0259076i
$485$	−3.84701	−	4.30276i	−0.174684	−	0.195378i
$486$	0.348009	−	0.602770i	0.0157860	−	0.0273422i
$487$	−12.7948	−	3.42834i	−0.579786	−	0.155353i	−0.0430050	−	0.999075i	$-0.513693\pi$
$487$	−12.7948	−	3.42834i	−0.579786	−	0.155353i	−0.536781	+	0.843722i	$0.680360\pi$
$488$	−9.85199	−	21.1277i	−0.445979	−	0.956404i
$489$	2.48843	−	14.1126i	0.112531	−	0.638194i
$490$	2.21590	+	10.6076i	0.100104	+	0.479203i
$491$	2.89857	−	1.05499i	0.130810	−	0.0476111i	−0.275785	−	0.961219i	$-0.588938\pi$
$491$	2.89857	−	1.05499i	0.130810	−	0.0476111i	0.406596	+	0.913608i	$0.366716\pi$
$492$	1.13352	+	12.9562i	0.0511031	+	0.584112i
$493$	−32.6302	−	32.6302i	−1.46959	−	1.46959i
$494$	2.87039	−	5.88862i	0.129145	−	0.264941i
$495$	−5.52543	−	5.18886i	−0.248350	−	0.233222i
$496$	−1.86486	+	2.22246i	−0.0837348	+	0.0997913i
$497$	0.178452	−	0.382692i	0.00800467	−	0.0171661i
$498$	−1.52957	−	1.07102i	−0.0685419	−	0.0479935i
$499$	−2.91253	−	0.513558i	−0.130383	−	0.0229900i	0.108076	−	0.994143i	$-0.465531\pi$
$499$	−2.91253	−	0.513558i	−0.130383	−	0.0229900i	−0.238459	+	0.971153i	$0.576642\pi$
$500$	−14.6152	+	8.57387i	−0.653611	+	0.383435i
$501$	3.80576	+	6.59177i	0.170029	+	0.294498i
$502$	4.73325	+	17.6647i	0.211255	+	0.788415i
$503$	−1.52791	+	17.4641i	−0.0681261	+	0.778684i	0.882897	+	0.469566i	$0.155590\pi$
$503$	−1.52791	+	17.4641i	−0.0681261	+	0.778684i	−0.951024	+	0.309119i	$0.899966\pi$
$504$	0.361277	−	0.303148i	0.0160926	−	0.0135033i
$505$	−8.77300	−	29.0590i	−0.390393	−	1.29311i
$506$	−10.6768	+	6.16428i	−0.474644	+	0.274036i
$507$	7.55639	−	3.52360i	0.335591	−	0.156489i
$508$	−23.3817	+	16.3720i	−1.03739	+	0.726391i
$509$	−1.28121	−	7.26613i	−0.0567888	−	0.322066i	0.943158	−	0.332344i	$-0.107839\pi$
$509$	−1.28121	−	7.26613i	−0.0567888	−	0.322066i	−0.999947	+	0.0102782i	$0.996728\pi$
$510$	10.0274	−	4.01052i	0.444021	−	0.177589i
$511$	1.27896	+	1.07317i	0.0565777	+	0.0474743i
$512$	−10.0591	+	10.0591i	−0.444556	+	0.444556i
$513$	2.85894	−	3.29036i	0.126225	−	0.145273i
$514$		−	1.09987i		−	0.0485130i
$515$	−20.7769	−	16.3502i	−0.915538	−	0.720477i
$516$	−0.605954	−	1.66484i	−0.0266756	−	0.0732907i
$517$	11.8618	−	16.9403i	0.521680	−	0.745036i
$518$	−0.554643	−	0.792113i	−0.0243696	−	0.0348034i
$519$	−4.99660	+	13.7280i	−0.219326	+	0.602594i
$520$	−2.69796	+	11.5021i	−0.118313	+	0.504400i
$521$	−25.0077	−	14.4382i	−1.09561	−	0.632549i	−0.160543	−	0.987029i	$-0.551325\pi$
$521$	−25.0077	−	14.4382i	−1.09561	−	0.632549i	−0.935064	+	0.354480i	$0.884658\pi$
$522$	−4.61099	−	0.403410i	−0.201818	−	0.0176568i
$523$	38.3013	+	3.35093i	1.67480	+	0.146526i	0.884608	−	0.466336i	$-0.154426\pi$
$523$	38.3013	+	3.35093i	1.67480	+	0.146526i	0.790190	+	0.612862i	$0.209982\pi$
$524$	18.4721	+	10.6649i	0.806959	+	0.465898i
$525$	0.533281	+	0.802700i	0.0232743	+	0.0350327i
$526$	−1.45210	+	3.98961i	−0.0633146	+	0.173955i
$527$	8.69495	+	12.4177i	0.378758	+	0.540923i
$528$	2.58213	−	3.68766i	0.112373	−	0.160485i
$529$	1.47210	+	4.04455i	0.0640041	+	0.175850i
$530$	−18.3526	+	2.18816i	−0.797185	+	0.0950475i
$531$		−	6.27547i		−	0.272332i
$532$	1.11349	−	0.617550i	0.0482757	−	0.0267742i
$533$	−13.1025	+	13.1025i	−0.567531	+	0.567531i
$534$	−0.264533	−	0.221969i	−0.0114474	−	0.00960555i
$535$	8.35558	+	20.8913i	0.361243	+	0.903208i
$536$	3.74450	+	21.2361i	0.161738	+	0.917260i
$537$	−2.88465	+	2.01985i	−0.124482	+	0.0871631i
$538$	−10.1514	+	4.73370i	−0.437660	+	0.204084i
$539$	20.4407	−	11.8014i	0.880443	−	0.508324i
$540$	−1.60146	+	2.98662i	−0.0689160	+	0.128524i
$541$	−19.1442	+	16.0639i	−0.823072	+	0.690639i	−0.953689	−	0.300793i	$-0.902749\pi$
$541$	−19.1442	+	16.0639i	−0.823072	+	0.690639i	0.130617	+	0.991433i	$0.458304\pi$
$542$	0.459111	−	5.24767i	0.0197205	−	0.225407i
$543$	5.04970	+	18.8457i	0.216703	+	0.808748i
$544$	20.1864	+	34.9638i	0.865484	+	1.49906i
$545$	11.4960	−	5.80686i	0.492435	−	0.248738i
$546$	0.285266	+	0.0503001i	0.0122083	+	0.00215265i
$547$	−5.56779	−	3.89861i	−0.238062	−	0.166693i	0.448458	−	0.893804i	$-0.351973\pi$
$547$	−5.56779	−	3.89861i	−0.238062	−	0.166693i	−0.686519	+	0.727111i	$0.740862\pi$
$548$	4.60027	−	9.86531i	0.196514	−	0.421425i
$549$	6.12390	−	7.29818i	0.261362	−	0.311479i
$550$	−8.84878	−	7.80168i	−0.377313	−	0.332665i
$551$	−27.8661	−	7.98355i	−1.18714	−	0.340111i
$552$	9.04095	+	9.04095i	0.384808	+	0.384808i
$553$	−0.129140	−	1.47608i	−0.00549161	−	0.0627694i
$554$	−8.92295	+	3.24769i	−0.379100	+	0.137981i
$555$	13.4870	+	8.82589i	0.572490	+	0.374638i
$556$	−3.82011	+	21.6649i	−0.162009	+	0.918797i
$557$	−11.5689	−	24.8095i	−0.490188	−	1.05121i	−0.983425	−	0.181317i	$-0.941964\pi$
$557$	−11.5689	−	24.8095i	−0.490188	−	1.05121i	0.493236	−	0.869895i	$-0.335814\pi$
$558$	1.46871	+	0.393539i	0.0621753	+	0.0166598i
$559$	1.26209	−	2.18601i	0.0533809	−	0.0924585i
$560$	−0.426682	+	0.381488i	−0.0180306	+	0.0161208i
$561$	−15.1200	−	18.0193i	−0.638365	−	0.760774i
$562$	−18.0120	+	4.82631i	−0.759791	+	0.203585i
$563$	4.81614	−	17.9741i	0.202976	−	0.757517i	−0.787081	−	0.616850i	$-0.788408\pi$
$563$	4.81614	−	17.9741i	0.202976	−	0.757517i	0.990057	−	0.140667i	$-0.0449248\pi$
$564$	−8.68838	−	3.16231i	−0.365847	−	0.133157i
$565$	−1.25218	+	8.68868i	−0.0526796	+	0.365536i
$566$	5.17713	−	0.912867i	0.217611	−	0.0383707i
$567$	0.174682	+	0.0814554i	0.00733594	+	0.00342080i
$568$	5.34025	−	0.467211i	0.224072	−	0.0196037i
$569$	7.34466			0.307904			0.153952	−	0.988078i	$-0.450800\pi$
$569$	7.34466			0.307904			0.153952	+	0.988078i	$0.450800\pi$
$570$	4.28652	−	5.25811i	0.179542	−	0.220238i
$571$	−20.8079			−0.870783			−0.435392	−	0.900241i	$-0.643390\pi$
$571$	−20.8079			−0.870783			−0.435392	+	0.900241i	$0.643390\pi$
$572$	11.0510	−	0.966837i	0.462065	−	0.0404255i
$573$	18.2606	+	8.51507i	0.762849	+	0.355722i
$574$	1.13372	−	0.199905i	0.0473205	−	0.00834388i
$575$	−20.4190	+	16.2993i	−0.851530	+	0.679730i
$576$	1.30942	+	0.476589i	0.0545591	+	0.0198579i
$577$	7.04295	−	26.2847i	0.293202	−	1.09424i	−0.649433	−	0.760419i	$-0.724994\pi$
$577$	7.04295	−	26.2847i	0.293202	−	1.09424i	0.942635	−	0.333826i	$-0.108340\pi$
$578$	20.9433	−	5.61175i	0.871127	−	0.233418i
$579$	3.90286	+	4.65124i	0.162197	+	0.193299i
$580$	22.5014	+	1.25833i	0.934319	+	0.0522493i
$581$	0.258539	−	0.447804i	0.0107260	−	0.0185780i
$582$	−1.73535	−	0.464986i	−0.0719327	−	0.0192743i
$583$	17.0131	+	36.4846i	0.704609	+	1.51104i
$584$	−3.68057	+	20.8736i	−0.152303	+	0.863755i
$585$	−4.72625	+	0.987298i	−0.195406	+	0.0408198i
$586$	7.96154	−	2.89776i	0.328888	−	0.119706i
$587$	3.63509	+	41.5493i	0.150036	+	1.71492i	0.582132	+	0.813094i	$0.302219\pi$
$587$	3.63509	+	41.5493i	0.150036	+	1.71492i	−0.432096	+	0.901828i	$0.642226\pi$
$588$	−7.46182	−	7.46182i	−0.307720	−	0.307720i
$589$	8.55965	+	4.17238i	0.352694	+	0.171920i
$590$	−0.306649	−	9.76198i	−0.0126246	−	0.401894i
$591$	−10.7645	+	12.8286i	−0.442791	+	0.527698i
$592$	−4.04564	+	8.67591i	−0.166275	+	0.356578i
$593$	27.3514	+	19.1517i	1.12319	+	0.786465i	0.979156	−	0.203108i	$-0.0651044\pi$
$593$	27.3514	+	19.1517i	1.12319	+	0.786465i	0.144032	+	0.989573i	$0.453993\pi$
$594$	−2.32354	−	0.409703i	−0.0953359	−	0.0168103i
$595$	1.34837	+	2.66941i	0.0552778	+	0.109435i
$596$	6.09398	+	10.5551i	0.249619	+	0.432353i
$597$	−2.54274	−	9.48964i	−0.104067	−	0.388385i
$598$	−0.684444	+	7.82323i	−0.0279890	+	0.319915i
$599$	−17.9102	+	15.0284i	−0.731790	+	0.614044i	−0.930619	−	0.365990i	$-0.880731\pi$
$599$	−17.9102	+	15.0284i	−0.731790	+	0.614044i	0.198829	+	0.980034i	$0.436286\pi$
$600$	−5.44017	+	10.9584i	−0.222094	+	0.447375i
$601$	29.9305	−	17.2804i	1.22089	−	0.704880i	0.255781	−	0.966735i	$-0.417667\pi$
$601$	29.9305	−	17.2804i	1.22089	−	0.704880i	0.965107	+	0.261854i	$0.0843340\pi$
$602$	−0.142129	+	0.0662759i	−0.00579275	+	0.00270120i
$603$	−7.21893	+	5.05475i	−0.293978	+	0.205845i
$604$	−3.59874	−	20.4095i	−0.146431	−	0.830450i
$605$	−0.432467	+	1.00898i	−0.0175823	+	0.0410210i
$606$	−7.23789	−	6.07331i	−0.294019	−	0.246711i
$607$	−21.4554	+	21.4554i	−0.870849	+	0.870849i	−0.992565	−	0.121716i	$-0.961160\pi$
$607$	−21.4554	+	21.4554i	−0.870849	+	0.870849i	0.121716	+	0.992565i	$0.461160\pi$
$608$	21.7413	+	13.0567i	0.881726	+	0.529518i
$609$		−	1.28174i		−	0.0519389i
$610$	9.16958	−	11.6521i	0.371265	−	0.471781i
$611$	−4.50545	−	12.3786i	−0.182271	−	0.500786i
$612$	−6.03211	+	8.61475i	−0.243834	+	0.348231i
$613$	−5.38799	−	7.69485i	−0.217619	−	0.310792i	0.695468	−	0.718557i	$-0.255197\pi$
$613$	−5.38799	−	7.69485i	−0.217619	−	0.310792i	−0.913087	+	0.407765i	$0.866308\pi$
$614$	−6.85954	+	18.8464i	−0.276829	+	0.760580i
$615$	−16.3085	+	10.1114i	−0.657622	+	0.407731i
$616$	−1.38451	−	0.799345i	−0.0557833	−	0.0322065i
$617$	5.01638	+	0.438877i	0.201952	+	0.0176685i	0.187683	−	0.982230i	$-0.439902\pi$
$617$	5.01638	+	0.438877i	0.201952	+	0.0176685i	0.0142691	+	0.999898i	$0.495458\pi$
$618$	−8.19825	−	0.717254i	−0.329782	−	0.0288522i
$619$	33.8862	+	19.5642i	1.36200	+	0.786352i	0.989890	−	0.141836i	$-0.0453005\pi$
$619$	33.8862	+	19.5642i	1.36200	+	0.786352i	0.372112	+	0.928188i	$0.378634\pi$
$620$	−7.20772	−	1.69066i	−0.289469	−	0.0678985i
$621$	−1.78717	+	4.91021i	−0.0717166	+	0.197040i
$622$	−7.39614	−	10.5628i	−0.296558	−	0.423529i
$623$	0.0548488	−	0.0783323i	0.00219747	−	0.00313832i
$624$	−0.980771	−	2.69465i	−0.0392623	−	0.107872i
$625$	−21.0134	−	13.5439i	−0.840537	−	0.541754i
$626$		−	2.21318i		−	0.0884564i
$627$	−13.7957	−	5.29204i	−0.550948	−	0.211344i
$628$	−16.1037	+	16.1037i	−0.642607	+	0.642607i
$629$	38.3169	+	32.1517i	1.52779	+	1.28197i
$630$	0.275711	+	0.118174i	0.0109846	+	0.00470818i
$631$	−8.00188	−	45.3809i	−0.318550	−	1.80659i	−0.551587	−	0.834117i	$-0.685978\pi$
$631$	−8.00188	−	45.3809i	−0.318550	−	1.80659i	0.233037	−	0.972468i	$-0.425134\pi$
$632$	15.4090	−	10.7895i	0.612937	−	0.429183i
$633$	1.94130	−	0.905245i	0.0771599	−	0.0359802i
$634$	−3.16959	+	1.82996i	−0.125880	+	0.0726771i
$635$	−37.1147	−	19.9014i	−1.47285	−	0.789762i
$636$	13.7874	−	11.5690i	0.546707	−	0.458741i
$637$	1.31036	−	14.9775i	0.0519183	−	0.593429i
$638$	4.06092	+	15.1556i	0.160773	+	0.600014i
$639$	1.09540	+	1.89729i	0.0433333	+	0.0750554i
$640$	−22.6574	−	7.44973i	−0.895614	−	0.294476i
$641$	19.6668	+	3.46778i	0.776790	+	0.136969i	0.547968	−	0.836499i	$-0.315401\pi$
$641$	19.6668	+	3.46778i	0.776790	+	0.136969i	0.228822	+	0.973468i	$0.426513\pi$
$642$	5.73703	+	4.01711i	0.226423	+	0.158543i
$643$	9.29147	−	19.9256i	0.366420	−	0.785790i	−0.633508	−	0.773737i	$-0.718385\pi$
$643$	9.29147	−	19.9256i	0.366420	−	0.785790i	0.999927	−	0.0120533i	$-0.00383678\pi$
$644$	−0.981128	+	1.16926i	−0.0386619	+	0.0460754i
$645$	1.78941	−	1.90548i	0.0704580	−	0.0750281i
$646$	15.1405	−	14.6278i	0.595696	−	0.575522i
$647$	7.34110	+	7.34110i	0.288608	+	0.288608i	0.836530	−	0.547921i	$-0.184581\pi$
$647$	7.34110	+	7.34110i	0.288608	+	0.288608i	−0.547921	+	0.836530i	$0.684581\pi$
$648$	0.213261	+	2.43758i	0.00837768	+	0.0957573i
$649$	−19.9899	+	7.27571i	−0.784670	+	0.285597i
$650$	−7.30381	+	1.76677i	−0.286479	+	0.0692983i
$651$	−0.0731159	+	0.414661i	−0.00286564	+	0.0162519i
$652$	9.17861	+	19.6836i	0.359462	+	0.770869i
$653$	−15.4299	−	4.13442i	−0.603817	−	0.161792i	−0.0560567	−	0.998428i	$-0.517853\pi$
$653$	−15.4299	−	4.13442i	−0.603817	−	0.161792i	−0.547760	+	0.836635i	$0.684519\pi$
$654$	2.00447	−	3.47185i	0.0783811	−	0.135760i
$655$	−1.75714	+	31.4211i	−0.0686571	+	1.22772i
$656$	−7.32551	−	8.73021i	−0.286013	−	0.340857i
$657$	−8.36708	+	2.24195i	−0.326431	+	0.0874669i
$658$	−0.211821	+	0.790526i	−0.00825764	+	0.0308179i
$659$	27.1741	+	9.89056i	1.05855	+	0.385281i	0.811884	−	0.583819i	$-0.198442\pi$
$659$	27.1741	+	9.89056i	1.05855	+	0.385281i	0.246668	+	0.969100i	$0.420664\pi$
$660$	11.3703	+	1.63864i	0.442588	+	0.0637840i
$661$	22.3546	−	3.94173i	0.869495	−	0.153315i	0.278936	−	0.960310i	$-0.410018\pi$
$661$	22.3546	−	3.94173i	0.869495	−	0.153315i	0.590559	+	0.806994i	$0.298907\pi$
$662$	−7.39111	−	3.44653i	−0.287263	−	0.133953i
$663$	−14.9265	+	1.30590i	−0.579695	+	0.0507168i
$664$	6.56448			0.254751
$665$	1.55398	+	1.05559i	0.0602607	+	0.0409341i
$666$	5.01708			0.194408
$667$	34.6169	−	3.02858i	1.34037	−	0.117267i
$668$	−10.4549	−	4.87520i	−0.404512	−	0.188627i
$669$	−17.7019	+	3.12132i	−0.684395	+	0.120677i
$670$	−10.9826	+	8.21580i	−0.424295	+	0.317404i
$671$	−30.3476	−	11.0456i	−1.17156	−	0.426411i
$672$	−0.290236	+	1.08317i	−0.0111961	+	0.0417843i
$673$	−17.1565	+	4.59706i	−0.661333	+	0.177204i	−0.573848	−	0.818962i	$-0.694550\pi$
$673$	−17.1565	+	4.59706i	−0.661333	+	0.177204i	−0.0874854	+	0.996166i	$0.527883\pi$
$674$	−5.65193	−	6.73571i	−0.217704	−	0.259450i
$675$	−4.99850	−	0.122297i	−0.192393	−	0.00470722i
$676$	−6.31803	+	10.9431i	−0.243001	+	0.420890i
$677$	0.307337	+	0.0823506i	0.0118119	+	0.00316499i	0.264720	−	0.964325i	$-0.414720\pi$
$677$	0.307337	+	0.0823506i	0.0118119	+	0.00316499i	−0.252908	+	0.967490i	$0.581387\pi$
$678$	1.15479	+	2.47645i	0.0443493	+	0.0951074i
$679$	0.0863903	−	0.489944i	0.00331536	−	0.0188023i
$680$	−20.7897	+	31.7691i	−0.797250	+	1.21829i
$681$	−5.50789	+	2.00471i	−0.211063	+	0.0768206i
$682$	−0.449226	−	5.13468i	−0.0172017	−	0.196617i
$683$	−17.2283	−	17.2283i	−0.659224	−	0.659224i	0.295973	−	0.955196i	$-0.404356\pi$
$683$	−17.2283	−	17.2283i	−0.659224	−	0.659224i	−0.955196	+	0.295973i	$0.904356\pi$
$684$	−0.689021	+	6.57014i	−0.0263454	+	0.251215i
$685$	16.0521	−	0.504240i	0.613321	−	0.0192660i
$686$	−1.20402	+	1.43490i	−0.0459697	+	0.0547846i
$687$	−9.48586	+	20.3425i	−0.361908	+	0.776115i
$688$	1.27171	+	0.890463i	0.0484836	+	0.0339486i
$689$	25.2531	+	4.45280i	0.962066	+	0.169638i
$690$	−2.54014	+	7.72554i	−0.0967016	+	0.294106i
$691$	−12.6992	−	21.9956i	−0.483099	−	0.836751i	0.516713	−	0.856159i	$-0.327155\pi$
$691$	−12.6992	−	21.9956i	−0.483099	−	0.836751i	−0.999812	+	0.0194073i	$0.993822\pi$
$692$	−5.73049	−	21.3865i	−0.217840	−	0.812992i
$693$	0.0569436	−	0.650869i	0.00216311	−	0.0247245i
$694$	10.0986	−	8.47376i	0.383339	−	0.321660i
$695$	−31.0725	+	9.38088i	−1.17865	+	0.355837i
$696$	14.0921	−	8.13607i	0.534159	−	0.308397i
$697$	−53.9688	+	25.1661i	−2.04421	+	0.953233i
$698$	18.9582	−	13.2747i	0.717579	−	0.502455i
$699$	−0.620454	−	3.51877i	−0.0234677	−	0.133092i
$700$	−1.35983	−	0.532955i	−0.0513968	−	0.0201438i
$701$	11.7708	+	9.87690i	0.444578	+	0.373045i	0.837419	−	0.546561i	$-0.184063\pi$
$701$	11.7708	+	9.87690i	0.444578	+	0.373045i	−0.392841	+	0.919606i	$0.628508\pi$
$702$	−1.06270	+	1.06270i	−0.0401092	+	0.0401092i
$703$	30.8442	+	5.98813i	1.16331	+	0.225847i
$704$		−	4.72357i		−	0.178026i
$705$	−1.61503	−	13.5457i	−0.0608257	−	0.510159i
$706$	−0.0149671	−	0.0411219i	−0.000563296	−	0.00154764i
$707$	1.50072	−	2.14325i	0.0564404	−	0.0806052i
$708$	5.45519	+	7.79082i	0.205019	+	0.292797i
$709$	16.6116	−	45.6401i	0.623863	−	1.71405i	−0.0734667	−	0.997298i	$-0.523406\pi$
$709$	16.6116	−	45.6401i	0.623863	−	1.71405i	0.697329	−	0.716751i	$-0.254372\pi$
$710$	1.79669	+	2.89785i	0.0674284	+	0.108754i
$711$	6.65771	+	3.84383i	0.249684	+	0.144155i
$712$	1.20938	+	0.105807i	0.0453235	+	0.00396530i
$713$	−11.3718	−	0.994902i	−0.425877	−	0.0372594i
$714$	0.806173	+	0.465444i	0.0301703	+	0.0174188i
$715$	8.62450	+	13.9103i	0.322538	+	0.520217i
$716$	1.82538	−	5.01519i	0.0682176	−	0.187426i
$717$	−5.72577	−	8.17725i	−0.213833	−	0.305385i
$718$	−10.0519	+	14.3555i	−0.375132	+	0.535744i
$719$	13.1205	+	36.0482i	0.489311	+	1.34437i	0.901305	+	0.433185i	$0.142610\pi$
$719$	13.1205	+	36.0482i	0.489311	+	1.34437i	−0.411994	+	0.911187i	$0.635168\pi$
$720$	−0.351569	−	2.94869i	−0.0131022	−	0.109891i
$721$		−	2.27891i		−	0.0848711i
$722$	3.86061	−	12.6483i	0.143677	−	0.470720i
$723$	−21.1577	+	21.1577i	−0.786864	+	0.786864i
$724$	−22.6515	−	19.0068i	−0.841835	−	0.706383i
$725$	13.3110	+	30.4700i	0.494359	+	1.13163i
$726$	0.0593353	+	0.336507i	0.00220214	+	0.0124890i
$727$	18.6808	−	13.0804i	0.692831	−	0.485126i	−0.173347	−	0.984861i	$-0.555458\pi$
$727$	18.6808	−	13.0804i	0.692831	−	0.485126i	0.866178	+	0.499735i	$0.166569\pi$
$728$	−0.922931	+	0.430370i	−0.0342061	+	0.0159506i
$729$	−0.866025	+	0.500000i	−0.0320750	+	0.0185185i
$730$	−12.9061	+	3.89639i	−0.477676	+	0.144212i
$731$	6.21405	−	5.21421i	0.229835	−	0.192854i
$732$	−1.25843	+	14.3839i	−0.0465130	+	0.531645i
$733$	−11.7454	−	43.8346i	−0.433828	−	1.61907i	−0.743856	−	0.668340i	$-0.767005\pi$
$733$	−11.7454	−	43.8346i	−0.433828	−	1.61907i	0.310028	−	0.950727i	$-0.399661\pi$
$734$	−4.44672	−	7.70195i	−0.164132	−	0.284284i
$735$	4.86307	−	14.7904i	0.179377	−	0.545553i
$736$	−29.9398	−	5.27919i	−1.10359	−	0.194593i
$737$	24.4709	+	17.1347i	0.901398	+	0.631166i
$738$	−2.52424	+	5.41325i	−0.0929185	+	0.199264i
$739$	15.2269	−	18.1467i	0.560131	−	0.667538i	−0.409443	−	0.912336i	$-0.634277\pi$
$739$	15.2269	−	18.1467i	0.560131	−	0.667538i	0.969574	+	0.244797i	$0.0787214\pi$
$740$	−24.4160	+	0.766969i	−0.897548	+	0.0281944i
$741$	−7.80172	+	5.26494i	−0.286603	+	0.193412i
$742$	−1.12651	−	1.12651i	−0.0413553	−	0.0413553i
$743$	−0.871715	−	9.96374i	−0.0319801	−	0.365534i	−0.995276	−	0.0970908i	$-0.969046\pi$
$743$	−0.871715	−	9.96374i	−0.0319801	−	0.365534i	0.963295	−	0.268444i	$-0.0865093\pi$
$744$	−5.02309	+	1.82826i	−0.184156	+	0.0670271i
$745$	−9.84660	+	15.0467i	−0.360752	+	0.551270i
$746$	0.200384	−	1.13643i	0.00733657	−	0.0416078i
$747$	1.13379	+	2.43143i	0.0414833	+	0.0889612i
$748$	34.4350	+	9.22682i	1.25907	+	0.337366i
$749$	−0.969714	+	1.67959i	−0.0354326	+	0.0613710i
$750$	−7.78154	+	0.0540081i	−0.284141	+	0.00197210i
$751$	−5.60626	−	6.68129i	−0.204576	−	0.243804i	0.653995	−	0.756499i	$-0.273092\pi$
$751$	−5.60626	−	6.68129i	−0.204576	−	0.243804i	−0.858571	+	0.512695i	$0.828647\pi$
$752$	7.82588	−	2.09694i	0.285380	−	0.0764675i
$753$	6.80047	−	25.3797i	0.247823	−	0.924887i
$754$	9.39167	+	3.41829i	0.342025	+	0.124487i
$755$	24.4841	−	18.3159i	0.891067	−	0.666584i
$756$	−0.287671	+	0.0507241i	−0.0104625	+	0.00184482i
$757$	38.7126	+	18.0520i	1.40703	+	0.656111i	0.969949	−	0.243309i	$-0.0782331\pi$
$757$	38.7126	+	18.0520i	1.40703	+	0.656111i	0.437085	+	0.899420i	$0.356011\pi$
$758$	−11.7640	+	1.02921i	−0.427286	+	0.0373827i
$759$	17.7130			0.642941
$760$	−1.74154	+	23.7857i	−0.0631722	+	0.862798i
$761$	27.7115			1.00454			0.502270	−	0.864711i	$-0.332498\pi$
$761$	27.7115			1.00454			0.502270	+	0.864711i	$0.332498\pi$
$762$	−13.0588	+	1.14250i	−0.473071	+	0.0413883i
$763$	1.00614	+	0.469169i	0.0364246	+	0.0169850i
$764$	−30.0721	+	5.30253i	−1.08797	+	0.191839i
$765$	−15.3577	−	2.21329i	−0.555260	−	0.0800218i
$766$	9.46949	+	3.44661i	0.342147	+	0.124531i
$767$	−3.50711	+	13.0887i	−0.126634	+	0.472606i
$768$	−9.86297	+	2.64278i	−0.355899	+	0.0953629i
$769$	7.06802	+	8.42334i	0.254879	+	0.303753i	0.878278	−	0.478151i	$-0.158693\pi$
$769$	7.06802	+	8.42334i	0.254879	+	0.303753i	−0.623398	+	0.781905i	$0.714248\pi$
$770$	0.0567757	−	1.01526i	0.00204605	−	0.0365874i
$771$	−0.790112	+	1.36851i	−0.0284552	+	0.0492858i
$772$	−8.88856	−	2.38168i	−0.319906	−	0.0857186i
$773$	−5.67290	−	12.1656i	−0.204040	−	0.437566i	0.777484	−	0.628902i	$-0.216496\pi$
$773$	−5.67290	−	12.1656i	−0.204040	−	0.437566i	−0.981524	+	0.191337i	$0.938718\pi$
$774$	0.141288	−	0.801286i	0.00507850	−	0.0288016i
$775$	−2.56816	−	10.6168i	−0.0922510	−	0.381365i
$776$	5.93505	−	2.16018i	0.213056	−	0.0775460i
$777$	0.121087	+	1.38403i	0.00434397	+	0.0496519i
$778$	15.3018	+	15.3018i	0.548596	+	0.548596i
$779$	−21.9796	+	30.2669i	−0.787500	+	1.08443i
$780$	5.00927	−	5.33418i	0.179360	−	0.190994i
$781$	4.77361	−	5.68897i	0.170813	−	0.203567i
$782$	−10.6657	+	22.8726i	−0.381404	+	0.817924i
$783$	5.44746	+	3.81435i	0.194676	+	0.136314i
$784$	9.10642	+	1.60571i	0.325229	+	0.0573467i
$785$	−31.9199	−	10.4952i	−1.13927	−	0.374590i
$786$	4.89784	+	8.48331i	0.174700	+	0.302590i
$787$	−10.7805	−	40.2335i	−0.384284	−	1.43417i	−0.839292	−	0.543681i	$-0.817030\pi$
$787$	−10.7805	−	40.2335i	−0.384284	−	1.43417i	0.455008	−	0.890487i	$-0.349636\pi$
$788$	2.21204	−	25.2838i	0.0788008	−	0.900698i
$789$	4.67281	−	3.92096i	0.166357	−	0.139590i
$790$	10.5444	+	5.65405i	0.375153	+	0.201162i
$791$	−0.655292	+	0.378333i	−0.0232995	+	0.0134520i
$792$	7.51741	−	3.50543i	0.267120	−	0.124560i
$793$	−16.8512	+	11.7994i	−0.598405	+	0.419008i
$794$	−3.71057	−	21.0437i	−0.131683	−	0.746813i
$795$	24.4072	+	10.4613i	0.865635	+	0.371025i
$796$	11.4060	+	9.57075i	0.404274	+	0.339226i
$797$	−33.9874	+	33.9874i	−1.20389	+	1.20389i	−0.230923	+	0.972972i	$0.574174\pi$
$797$	−33.9874	+	33.9874i	−1.20389	+	1.20389i	−0.972972	+	0.230923i	$0.925826\pi$
$798$	0.584662	+	0.0100708i	0.0206968	+	0.000356501i
$799$		−	42.3337i		−	1.49766i
$800$	−4.34929	−	28.7636i	−0.153771	−	1.01695i
$801$	0.169690	+	0.466220i	0.00599570	+	0.0164731i
$802$	7.11968	−	10.1680i	0.251405	−	0.359043i
$803$	16.8422	+	24.0532i	0.594349	+	0.848818i
$804$	4.56807	−	12.5507i	0.161103	−	0.442628i
$805$	−2.19250	−	0.514279i	−0.0772756	−	0.0181259i
$806$	−2.84334	−	1.64160i	−0.100152	−	0.0578230i
$807$	16.0316	+	1.40258i	0.564337	+	0.0493731i
$808$	33.0900	+	2.89500i	1.16410	+	0.101846i
$809$	−32.3657	−	18.6864i	−1.13792	−	0.656977i	−0.192004	−	0.981394i	$-0.561499\pi$
$809$	−32.3657	−	18.6864i	−1.13792	−	0.656977i	−0.945914	+	0.324417i	$0.894832\pi$
$810$	−1.32274	+	0.820107i	−0.0464762	+	0.0288156i
$811$	−3.85011	+	10.5781i	−0.135196	+	0.371447i	−0.988754	−	0.149550i	$-0.952217\pi$
$811$	−3.85011	+	10.5781i	−0.135196	+	0.371447i	0.853559	+	0.520997i	$0.174440\pi$
$812$	1.11420	+	1.59125i	0.0391009	+	0.0558419i
$813$	−4.34103	+	6.19963i	−0.152246	+	0.217431i
$814$	−5.81675	−	15.9814i	−0.203877	−	0.560147i
$815$	−19.8164	+	25.1814i	−0.694137	+	0.882066i
$816$		−	9.21541i		−	0.322604i
$817$	1.82499	−	4.75754i	0.0638484	−	0.166445i
$818$	12.2491	−	12.2491i	0.428280	−	0.428280i
$819$	−0.318810	−	0.267514i	−0.0111401	−	0.00934768i
$820$	11.4568	−	26.7298i	0.400090	−	0.933446i
$821$	3.16955	+	17.9754i	0.110618	+	0.627346i	0.988827	+	0.149069i	$0.0476275\pi$
$821$	3.16955	+	17.9754i	0.110618	+	0.627346i	−0.878209	+	0.478277i	$0.841261\pi$
$822$	4.09494	−	2.86731i	0.142827	−	0.100009i
$823$	20.3408	−	9.48508i	0.709036	−	0.330629i	−0.0344257	−	0.999407i	$-0.510960\pi$
$823$	20.3408	−	9.48508i	0.709036	−	0.330629i	0.743462	+	0.668778i	$0.233182\pi$
$824$	25.0554	−	14.4658i	0.872847	−	0.503938i
$825$	5.40565	+	16.0640i	0.188201	+	0.559277i
$826$	0.644900	−	0.541135i	0.0224389	−	0.0188285i
$827$	1.92661	−	22.0212i	0.0669946	−	0.765752i	−0.886182	−	0.463338i	$-0.846652\pi$
$827$	1.92661	−	22.0212i	0.0669946	−	0.765752i	0.953176	−	0.302415i	$-0.0977927\pi$
$828$	−2.04967	−	7.64946i	−0.0712308	−	0.265837i
$829$	−5.19218	−	8.99311i	−0.180332	−	0.312344i	0.761662	−	0.647975i	$-0.224384\pi$
$829$	−5.19218	−	8.99311i	−0.180332	−	0.312344i	−0.941994	+	0.335631i	$0.891050\pi$
$830$	1.88251	+	3.72687i	0.0653430	+	0.129362i
$831$	13.4355	+	2.36904i	0.466072	+	0.0821810i
$832$	−2.46470	−	1.72580i	−0.0854480	−	0.0598313i
$833$	20.4193	−	43.7893i	0.707487	−	1.51721i
$834$	−6.49413	+	7.73940i	−0.224873	+	0.267994i
$835$	−0.534375	−	17.0115i	−0.0184928	−	0.588706i
$836$	21.7273	−	5.42254i	0.751455	−	0.187543i
$837$	−1.54474	−	1.54474i	−0.0533940	−	0.0533940i
$838$	−0.0810720	−	0.926657i	−0.00280059	−	0.0320108i
$839$	36.6781	−	13.3497i	1.26627	−	0.460885i	0.380402	−	0.924821i	$-0.375786\pi$
$839$	36.6781	−	13.3497i	1.26627	−	0.460885i	0.885868	+	0.463937i	$0.153564\pi$
$840$	−1.03228	+	0.215639i	−0.0356170	+	0.00744027i
$841$	2.64364	−	14.9928i	0.0911601	−	0.516995i
$842$	3.62683	+	7.77777i	0.124989	+	0.268040i
$843$	25.8786	+	6.93416i	0.891308	+	0.238825i
$844$	−1.62316	+	2.81139i	−0.0558713	+	0.0967720i
$845$	−18.6143	−	1.04095i	−0.640350	−	0.0358099i
$846$	−2.72941	−	3.25278i	−0.0938390	−	0.111833i
$847$	−0.0913982	+	0.0244901i	−0.00314048	+	0.000841489i
$848$	−4.08189	+	15.2338i	−0.140173	+	0.523132i
$849$	−7.09745	−	2.58326i	−0.243584	−	0.0886573i
$850$	−23.9983	−	2.69250i	−0.823134	−	0.0923520i
$851$	−37.0933	+	6.54055i	−1.27154	+	0.224207i
$852$	−3.00919	−	1.40321i	−0.103093	−	0.0480732i
$853$	23.2647	−	2.03539i	0.796567	−	0.0696906i	0.318396	−	0.947958i	$-0.396856\pi$
$853$	23.2647	−	2.03539i	0.796567	−	0.0696906i	0.478170	+	0.878267i	$0.341300\pi$
$854$	1.27807			0.0437345
$855$	−9.11080	+	3.46313i	−0.311583	+	0.118436i
$856$	−24.6217			−0.841551
$857$	33.0886	−	2.89487i	1.13028	−	0.0988870i	0.493368	−	0.869821i	$-0.335766\pi$
$857$	33.0886	−	2.89487i	1.13028	−	0.0988870i	0.636916	+	0.770934i	$0.280210\pi$
$858$	4.61722	+	2.15305i	0.157629	+	0.0735038i
$859$	22.5330	−	3.97318i	0.768817	−	0.135563i	0.224536	−	0.974466i	$-0.427913\pi$
$859$	22.5330	−	3.97318i	0.768817	−	0.135563i	0.544282	+	0.838903i	$0.316802\pi$
$860$	−0.565095	+	3.92111i	−0.0192696	+	0.133709i
$861$	−1.55424	−	0.565698i	−0.0529684	−	0.0192789i
$862$	−1.31821	+	4.91961i	−0.0448983	+	0.167563i
$863$	7.05432	−	1.89020i	0.240132	−	0.0643431i	−0.136746	−	0.990606i	$-0.543664\pi$
$863$	7.05432	−	1.89020i	0.240132	−	0.0643431i	0.376878	+	0.926263i	$0.376998\pi$
$864$	−3.73982	−	4.45694i	−0.127231	−	0.151628i
$865$	24.3527	−	21.7732i	0.828016	−	0.740311i
$866$	4.58169	−	7.93572i	0.155692	−	0.269667i
$867$	−30.0902	−	8.06264i	−1.02192	−	0.273822i
$868$	−0.269689	−	0.578349i	−0.00915383	−	0.0196305i
$869$	4.52525	−	25.6640i	0.153509	−	0.870590i
$870$	8.66033	+	5.66733i	0.293613	+	0.192141i
$871$	17.8814	−	6.50829i	0.605887	−	0.220525i
$872$	1.22834	+	14.0400i	0.0415970	+	0.475456i
$873$	1.82519	+	1.82519i	0.0617734	+	0.0617734i
$874$	1.10949	+	15.8141i	0.0375290	+	0.534921i
$875$	−0.202706	−	2.14534i	−0.00685271	−	0.0725258i
$876$	8.43860	−	10.0567i	0.285114	−	0.339786i
$877$	−2.22531	+	4.77219i	−0.0751433	+	0.161145i	−0.940291	−	0.340372i	$-0.889447\pi$
$877$	−2.22531	+	4.77219i	−0.0751433	+	0.161145i	0.865148	+	0.501517i	$0.167225\pi$
$878$	6.25934	+	4.38283i	0.211242	+	0.147913i
$879$	−11.9879	−	2.11379i	−0.404341	−	0.0712962i
$880$	−8.98514	+	4.53857i	−0.302889	+	0.152995i
$881$	−22.9016	−	39.6667i	−0.771574	−	1.33641i	−0.936700	−	0.350133i	$-0.886136\pi$
$881$	−22.9016	−	39.6667i	−0.771574	−	1.33641i	0.165126	−	0.986272i	$-0.447197\pi$
$882$	−1.25431	−	4.68114i	−0.0422347	−	0.157622i
$883$	−4.29218	+	49.0599i	−0.144443	+	1.65100i	0.485413	+	0.874285i	$0.338669\pi$
$883$	−4.29218	+	49.0599i	−0.144443	+	1.65100i	−0.629857	+	0.776711i	$0.716886\pi$
$884$	17.3956	−	14.5966i	0.585077	−	0.490938i
$885$	−6.63118	+	12.3667i	−0.222905	+	0.415702i
$886$	−18.5927	+	10.7345i	−0.624633	+	0.360632i
$887$	−48.6214	+	22.6726i	−1.63255	+	0.761270i	−0.999913	−	0.0131801i	$-0.995805\pi$
$887$	−48.6214	+	22.6726i	−1.63255	+	0.761270i	−0.632635	+	0.774450i	$0.718027\pi$
$888$	−14.4481	+	10.1166i	−0.484845	+	0.339492i
$889$	−0.630348	−	3.57488i	−0.0211412	−	0.119898i
$890$	0.286748	+	0.716949i	0.00961180	+	0.0240322i
$891$	2.59676	+	2.17894i	0.0869947	+	0.0729972i
$892$	19.2631	−	19.2631i	0.644976	−	0.644976i
$893$	−12.8976	−	23.2552i	−0.431601	−	0.778207i
$894$			5.59730i			0.187202i
$895$	7.81895	−	0.932245i	0.261359	−	0.0311615i
$896$	−0.703137	−	1.93185i	−0.0234902	−	0.0645387i
$897$	6.47161	−	9.24241i	0.216081	−	0.308595i
$898$	1.59014	+	2.27096i	0.0530637	+	0.0757829i
$899$	−4.96880	+	13.6517i	−0.165719	+	0.455309i
$900$	6.31182	−	4.19331i	0.210394	−	0.139777i
$901$	71.3662	+	41.2033i	2.37755	+	1.37268i
$902$	20.1699	+	1.76464i	0.671585	+	0.0587560i
$903$	0.224456	+	0.0196373i	0.00746942	+	0.000653490i
$904$	−8.31914	−	4.80306i	−0.276691	−	0.159747i
$905$	9.96282	−	42.4741i	0.331175	−	1.41189i
$906$	3.25522	−	8.94364i	0.108147	−	0.297132i
$907$	−22.8022	−	32.5649i	−0.757135	−	1.08130i	−0.993959	−	0.109749i	$-0.964995\pi$
$907$	−22.8022	−	32.5649i	−0.757135	−	1.08130i	0.236824	−	0.971553i	$-0.423893\pi$
$908$	5.09523	−	7.27674i	0.169091	−	0.241487i
$909$	4.64289	+	12.7562i	0.153995	+	0.423098i
$910$	−0.509006	−	0.400559i	−0.0168734	−	0.0132784i
$911$		−	25.0202i		−	0.828956i	−0.910059	−	0.414478i	$-0.863964\pi$
$911$		−	25.0202i		−	0.828956i	0.910059	−	0.414478i	$-0.136036\pi$
$912$	−2.80761	−	5.06232i	−0.0929694	−	0.167630i
$913$	6.43055	−	6.43055i	0.212820	−	0.212820i
$914$	5.04176	+	4.23054i	0.166767	+	0.139934i
$915$	−19.7799	+	7.91107i	−0.653902	+	0.261532i
$916$	−5.90706	−	33.5006i	−0.195175	−	1.10689i
$917$	−2.22203	+	1.55588i	−0.0733779	+	0.0513797i
$918$	−4.37726	+	2.04115i	−0.144471	+	0.0673679i
$919$	−35.2152	+	20.3315i	−1.16164	+	0.670675i	−0.951697	−	0.307038i	$-0.900662\pi$
$919$	−35.2152	+	20.3315i	−1.16164	+	0.670675i	−0.209946	+	0.977713i	$0.567329\pi$
$920$	−8.26305	−	27.3699i	−0.272425	−	0.902358i
$921$	22.0738	−	18.5221i	0.727356	−	0.610324i
$922$	−0.637248	+	7.28378i	−0.0209866	+	0.239878i
$923$	−1.22435	−	4.56933i	−0.0402999	−	0.150401i
$924$	0.495099	+	0.857536i	0.0162876	+	0.0282109i
$925$	−17.2518	−	31.6441i	−0.567236	−	1.04045i
$926$	4.39155	+	0.774349i	0.144315	+	0.0254467i
$927$	9.68547	+	6.78184i	0.318112	+	0.222745i
$928$	−16.3516	+	35.0662i	−0.536768	+	1.15110i
$929$	−7.31492	+	8.71758i	−0.239995	+	0.286014i	−0.872575	−	0.488480i	$-0.837551\pi$
$929$	−7.31492	+	8.71758i	−0.239995	+	0.286014i	0.632580	+	0.774495i	$0.281996\pi$
$930$	−2.47845	−	2.32748i	−0.0812714	−	0.0763210i
$931$	−2.12410	−	30.2759i	−0.0696146	−	0.992254i
$932$	3.82910	+	3.82910i	0.125426	+	0.125426i
$933$	1.61469	+	18.4560i	0.0528626	+	0.604222i
$934$	−18.2121	+	6.62868i	−0.595919	+	0.216897i
$935$	10.7554	+	51.4865i	0.351738	+	1.68379i
$936$	0.917470	−	5.20323i	0.0299885	−	0.170073i
$937$	−15.0899	−	32.3604i	−0.492965	−	1.05717i	−0.982684	−	0.185287i	$-0.940678\pi$
$937$	−15.0899	−	32.3604i	−0.492965	−	1.05717i	0.489719	−	0.871880i	$-0.337099\pi$
$938$	−1.14194	−	0.305983i	−0.0372858	−	0.00999069i
$939$	−1.58988	+	2.75376i	−0.0518839	+	0.0898656i
$940$	13.7801	+	15.4126i	0.449457	+	0.502705i
$941$	−33.0108	−	39.3407i	−1.07612	−	1.28247i	−0.957156	−	0.289572i	$-0.906487\pi$
$941$	−33.0108	−	39.3407i	−1.07612	−	1.28247i	−0.118964	−	0.992899i	$-0.537957\pi$
$942$	−10.1026	+	2.70698i	−0.329159	+	0.0881980i
$943$	11.6057	−	43.3131i	0.377934	−	1.41047i
$944$	−7.83143	−	2.85041i	−0.254891	−	0.0927729i
$945$	−0.258162	−	0.345102i	−0.00839801	−	0.0112262i
$946$	−2.71622	+	0.478943i	−0.0883120	+	0.0155718i
$947$	−5.20308	−	2.42624i	−0.169077	−	0.0788421i	0.336237	−	0.941777i	$-0.390846\pi$
$947$	−5.20308	−	2.42624i	−0.169077	−	0.0788421i	−0.505314	+	0.862935i	$0.668623\pi$
$948$	−11.6068	+	1.01546i	−0.376970	+	0.0329806i
$949$	18.7041			0.607161
$950$	−14.0033	+	5.83236i	−0.454328	+	0.189227i
$951$	5.25837			0.170514
$952$	−3.26014	+	0.285225i	−0.105662	+	0.00924421i
$953$	12.4628	+	5.81151i	0.403710	+	0.188253i	0.613858	−	0.789416i	$-0.289617\pi$
$953$	12.4628	+	5.81151i	0.403710	+	0.188253i	−0.210148	+	0.977670i	$0.567394\pi$
$954$	8.14008	−	1.43532i	0.263545	−	0.0464700i
$955$	−26.9874	−	36.0758i	−0.873292	−	1.16739i
$956$	14.2168	+	5.17449i	0.459804	+	0.167355i
$957$	5.83450	−	21.7746i	0.188603	−	0.703874i
$958$	7.48655	−	2.00602i	0.241879	−	0.0648114i
$959$	0.889818	+	1.06044i	0.0287337	+	0.0342435i
$960$	−2.07679	−	2.32282i	−0.0670280	−	0.0749688i
$961$	−13.1138	+	22.7137i	−0.423025	+	0.732701i
$962$	−10.4641	−	2.80385i	−0.337376	−	0.0903996i
$963$	−4.25256	−	9.11964i	−0.137037	−	0.293876i
$964$	7.87457	−	44.6589i	0.253623	−	1.43837i
$965$	−2.77624	−	13.2900i	−0.0893702	−	0.427820i
$966$	−0.658707	+	0.239750i	−0.0211935	+	0.00771382i
$967$	4.82286	+	55.1255i	0.155093	+	1.77272i	0.532268	+	0.846576i	$0.321340\pi$
$967$	4.82286	+	55.1255i	0.155093	+	1.77272i	−0.377175	+	0.926142i	$0.623104\pi$
$968$	−0.849420	−	0.849420i	−0.0273014	−	0.0273014i
$969$	−29.3469	+	7.32416i	−0.942757	+	0.235286i
$970$	2.92841	+	2.75004i	0.0940257	+	0.0882984i
$971$	−34.8261	+	41.5041i	−1.11762	+	1.33193i	−0.180243	+	0.983622i	$0.557688\pi$
$971$	−34.8261	+	41.5041i	−1.11762	+	1.33193i	−0.937380	+	0.348309i	$0.886756\pi$
$972$	0.640503	−	1.37356i	0.0205441	−	0.0440570i
$973$	−2.29176	−	1.60471i	−0.0734704	−	0.0514445i
$974$	9.07947	+	1.60096i	0.290925	+	0.0512979i
$975$	10.3570	+	3.04854i	0.331690	+	0.0976314i
$976$	−6.32616	−	10.9572i	−0.202495	−	0.350732i
$977$	8.65086	+	32.2855i	0.276766	+	1.03290i	0.954649	+	0.297734i	$0.0962308\pi$
$977$	8.65086	+	32.2855i	0.276766	+	1.03290i	−0.677883	+	0.735170i	$0.737103\pi$
$978$	−0.869306	+	9.93621i	−0.0277973	+	0.317725i
$979$	1.28836	−	1.08106i	0.0411761	−	0.0345508i
$980$	6.81979	+	22.5893i	0.217850	+	0.721590i
$981$	−4.98815	+	2.87991i	−0.159260	+	0.0919485i
$982$	−1.94578	+	0.907332i	−0.0620923	+	0.0289541i
$983$	−0.145200	+	0.101670i	−0.00463116	+	0.00324277i	−0.575890	−	0.817527i	$-0.695344\pi$
$983$	−0.145200	+	0.101670i	−0.00463116	+	0.00324277i	0.571259	+	0.820770i	$0.306455\pi$
$984$	−3.64625	−	20.6789i	−0.116238	−	0.659220i
$985$	34.7687	−	13.9059i	1.10782	−	0.443079i
$986$	24.6042	+	20.6454i	0.783559	+	0.657484i
$987$	0.831451	−	0.831451i	0.0264654	−	0.0264654i
$988$	5.10887	−	13.3182i	0.162535	−	0.423709i
$989$			6.10843i			0.194237i
$990$	4.14593	+	3.26262i	0.131766	+	0.103693i
$991$	14.2937	+	39.2716i	0.454054	+	1.24750i	0.929847	+	0.367946i	$0.119939\pi$
$991$	14.2937	+	39.2716i	0.454054	+	1.24750i	−0.475793	+	0.879557i	$0.657839\pi$
$992$	7.29029	−	10.4116i	0.231467	−	0.330569i
$993$	6.72054	+	9.59793i	0.213270	+	0.304581i
$994$	−0.100518	+	0.276172i	−0.00318825	+	0.00875965i
$995$	−5.01671	+	21.3875i	−0.159040	+	0.678030i
$996$	−3.52118	−	2.03296i	−0.111573	−	0.0644167i
$997$	−3.50226	−	0.306408i	−0.110918	−	0.00970404i	0.0315617	−	0.999502i	$-0.489952\pi$
$997$	−3.50226	−	0.306408i	−0.110918	−	0.00970404i	−0.142479	+	0.989798i	$0.545507\pi$
$998$	2.05062	+	0.179406i	0.0649111	+	0.00567899i
$999$	−6.24253	−	3.60413i	−0.197505	−	0.114030i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	285.2.bh.a.22.8	yes	240
3.2	odd	2		855.2.dl.b.307.13		240
5.3	odd	4	inner	285.2.bh.a.193.13	yes	240
15.8	even	4		855.2.dl.b.478.8		240
19.13	odd	18	inner	285.2.bh.a.127.13	yes	240
57.32	even	18		855.2.dl.b.127.8		240
95.13	even	36	inner	285.2.bh.a.13.8	✓	240
285.203	odd	36		855.2.dl.b.298.13		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
285.2.bh.a.13.8	✓	240	95.13	even	36	inner
285.2.bh.a.22.8	yes	240	1.1	even	1	trivial
285.2.bh.a.127.13	yes	240	19.13	odd	18	inner
285.2.bh.a.193.13	yes	240	5.3	odd	4	inner
855.2.dl.b.127.8		240	57.32	even	18
855.2.dl.b.298.13		240	285.203	odd	36
855.2.dl.b.307.13		240	3.2	odd	2
855.2.dl.b.478.8		240	15.8	even	4

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:	\( N \)	\(=\)	\( 285 = 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	285.bh (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.693370 + 0.0606620i) q^{2} +(0.906308 + 0.422618i) q^{3} +(-1.49253 + 0.263174i) q^{4} +(-1.33943 - 1.79051i) q^{5} +(-0.654043 - 0.238052i) q^{6} +(0.0498847 - 0.186172i) q^{7} +(2.36352 - 0.633303i) q^{8} +(0.642788 + 0.766044i) q^{9} +(1.03734 + 1.16023i) q^{10} +(1.69491 - 2.93568i) q^{11} +(-1.46392 - 0.392255i) q^{12} +(-0.912547 - 1.95696i) q^{13} +(-0.0232950 + 0.132112i) q^{14} +(-0.457237 - 2.18882i) q^{15} +(1.24794 - 0.454214i) q^{16} +(-0.604786 - 6.91273i) q^{17} +(-0.492159 - 0.492159i) q^{18} +(-2.43830 - 3.61313i) q^{19} +(2.47036 + 2.31989i) q^{20} +(0.123891 - 0.147647i) q^{21} +(-0.997118 + 2.13833i) q^{22} +(4.28034 + 2.99713i) q^{23} +(2.40972 + 0.424899i) q^{24} +(-1.41184 + 4.79653i) q^{25} +(0.751446 + 1.30154i) q^{26} +(0.258819 + 0.965926i) q^{27} +(-0.0254589 + 0.290997i) q^{28} +(5.09429 - 4.27462i) q^{29} +(0.449813 + 1.48993i) q^{30} +(-1.89191 + 1.09230i) q^{31} +(-5.27301 + 2.45884i) q^{32} +(2.77678 - 1.94433i) q^{33} +(0.838680 + 4.75639i) q^{34} +(-0.400160 + 0.160046i) q^{35} +(-1.16099 - 0.974182i) q^{36} +(-5.09701 + 5.09701i) q^{37} +(1.90982 + 2.35732i) q^{38} -2.15927i q^{39} +(-4.29971 - 3.38363i) q^{40} +(-2.93503 - 8.06394i) q^{41} +(-0.0769456 + 0.109890i) q^{42} +(0.670512 + 0.957590i) q^{43} +(-1.75712 + 4.82765i) q^{44} +(0.510638 - 2.17698i) q^{45} +(-3.14967 - 1.81846i) q^{46} +(6.07749 + 0.531712i) q^{47} +(1.32298 + 0.115746i) q^{48} +(6.03001 + 3.48143i) q^{49} +(0.687959 - 3.41142i) q^{50} +(2.37333 - 6.52066i) q^{51} +(1.87703 + 2.68067i) q^{52} +(-6.81158 + 9.72794i) q^{53} +(-0.238052 - 0.654043i) q^{54} +(-7.52658 + 0.897386i) q^{55} -0.471614i q^{56} +(-0.682873 - 4.30508i) q^{57} +(-3.27292 + 3.27292i) q^{58} +(-4.80729 - 4.03379i) q^{59} +(1.25848 + 3.14655i) q^{60} +(-1.65436 - 9.38236i) q^{61} +(1.24553 - 0.872132i) q^{62} +(0.174682 - 0.0814554i) q^{63} +(1.20677 - 0.696726i) q^{64} +(-2.28166 + 4.25514i) q^{65} +(-1.80739 + 1.51658i) q^{66} +(-0.768076 + 8.77915i) q^{67} +(2.72191 + 10.1583i) q^{68} +(2.61267 + 4.52527i) q^{69} +(0.267750 - 0.135246i) q^{70} +(2.15751 + 0.380428i) q^{71} +(2.00438 + 1.40348i) q^{72} +(-3.66082 + 7.85066i) q^{73} +(3.22492 - 3.84331i) q^{74} +(-3.30666 + 3.75047i) q^{75} +(4.59012 + 4.75102i) q^{76} +(-0.461992 - 0.461992i) q^{77} +(0.130986 + 1.49717i) q^{78} +(7.22404 - 2.62934i) q^{79} +(-2.48481 - 1.62606i) q^{80} +(-0.173648 + 0.984808i) q^{81} +(2.52424 + 5.41325i) q^{82} +(2.59137 + 0.694355i) q^{83} +(-0.146054 + 0.252973i) q^{84} +(-11.5672 + 10.3420i) q^{85} +(-0.523002 - 0.623290i) q^{86} +(6.42353 - 1.72118i) q^{87} +(2.14679 - 8.01192i) q^{88} +(0.466220 + 0.169690i) q^{89} +(-0.222001 + 1.54043i) q^{90} +(-0.409855 + 0.0722684i) q^{91} +(-7.17732 - 3.34684i) q^{92} +(-2.17628 + 0.190400i) q^{93} -4.24620 q^{94} +(-3.20340 + 9.20534i) q^{95} -5.81812 q^{96} +(2.57139 - 0.224967i) q^{97} +(-4.39221 - 2.04812i) q^{98} +(3.33833 - 0.588637i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 12 q^{6} - 12 q^{7} - 36 q^{16} + 120 q^{20} - 48 q^{21} + 24 q^{22} + 24 q^{23} - 24 q^{25} - 24 q^{26} - 72 q^{28} - 12 q^{32} - 12 q^{33} - 12 q^{36} - 132 q^{38} - 132 q^{40} - 72 q^{41} - 108 q^{43}+ \cdots + 192 q^{98}+O(q^{100}) \) 240 * q - 12 * q^6 - 12 * q^7 - 36 * q^16 + 120 * q^20 - 48 * q^21 + 24 * q^22 + 24 * q^23 - 24 * q^25 - 24 * q^26 - 72 * q^28 - 12 * q^32 - 12 * q^33 - 12 * q^36 - 132 * q^38 - 132 * q^40 - 72 * q^41 - 108 * q^43 + 24 * q^47 + 24 * q^51 + 36 * q^53 - 24 * q^57 - 144 * q^58 + 48 * q^60 + 24 * q^61 - 168 * q^62 - 144 * q^67 - 48 * q^68 - 48 * q^70 - 72 * q^72 - 36 * q^73 - 48 * q^76 - 216 * q^77 + 120 * q^78 + 24 * q^80 + 144 * q^82 - 12 * q^83 + 72 * q^85 + 96 * q^86 - 48 * q^87 + 360 * q^88 + 36 * q^90 + 72 * q^91 - 48 * q^92 + 24 * q^95 + 48 * q^96 + 96 * q^97 + 192 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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