LMFDB - Embedded newform 966.2.r.b.113.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(113,966)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 13]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("966.113");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.r (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$24$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			113.4
Character	$\chi$	$=$	966.113
Dual form			966.2.r.b.701.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.540641 + 0.841254i) q^{2} +(-0.829173 - 1.52068i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(2.84093 + 0.834172i) q^{5} +(1.72756 + 0.124597i) q^{6} +(0.755750 + 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-1.62494 + 2.52182i) q^{9} +O(q^{10})$	\(q+(-0.540641 + 0.841254i) q^{2} +(-0.829173 - 1.52068i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(2.84093 + 0.834172i) q^{5} +(1.72756 + 0.124597i) q^{6} +(0.755750 + 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-1.62494 + 2.52182i) q^{9} +(-2.23767 + 1.93895i) q^{10} +(-5.52438 + 3.55030i) q^{11} +(-1.03881 + 1.38596i) q^{12} +(-3.40347 - 3.92781i) q^{13} +(-0.959493 + 0.281733i) q^{14} +(-1.08711 - 5.01182i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-0.524915 + 1.14940i) q^{17} +(-1.24298 - 2.73039i) q^{18} +(-6.32008 + 2.88629i) q^{19} +(-0.421375 - 2.93073i) q^{20} +(0.369187 - 1.69225i) q^{21} -6.56685i q^{22} +(-0.558138 - 4.76324i) q^{23} +(-0.604318 - 1.62321i) q^{24} +(3.16877 + 2.03644i) q^{25} +(5.14434 - 0.739645i) q^{26} +(5.18224 + 0.379997i) q^{27} +(0.281733 - 0.959493i) q^{28} +(-2.97392 - 1.35815i) q^{29} +(4.80395 + 1.79506i) q^{30} +(-0.644218 + 4.48063i) q^{31} +(-0.281733 - 0.959493i) q^{32} +(9.97955 + 5.45701i) q^{33} +(-0.683149 - 1.06300i) q^{34} +(1.60076 + 2.49084i) q^{35} +(2.96895 + 0.430500i) q^{36} +(-1.69530 - 5.77365i) q^{37} +(0.988797 - 6.87724i) q^{38} +(-3.15089 + 8.43243i) q^{39} +(2.69330 + 1.22999i) q^{40} +(1.01626 - 3.46105i) q^{41} +(1.22401 + 1.22548i) q^{42} +(-7.58804 + 1.09100i) q^{43} +(5.52438 + 3.55030i) q^{44} +(-6.71998 + 5.80882i) q^{45} +(4.30885 + 2.10567i) q^{46} +2.13171i q^{47} +(1.69225 + 0.369187i) q^{48} +(0.142315 + 0.989821i) q^{49} +(-3.42633 + 1.56475i) q^{50} +(2.18312 - 0.154826i) q^{51} +(-2.15901 + 4.72758i) q^{52} +(-2.05973 + 2.37706i) q^{53} +(-3.12140 + 4.15413i) q^{54} +(-18.6559 + 5.47788i) q^{55} +(0.654861 + 0.755750i) q^{56} +(9.62957 + 7.21760i) q^{57} +(2.75037 - 1.76755i) q^{58} +(1.02006 - 0.883887i) q^{59} +(-4.10731 + 3.07086i) q^{60} +(4.79046 + 0.688764i) q^{61} +(-3.42106 - 2.96436i) q^{62} +(-2.87949 + 0.841750i) q^{63} +(0.959493 + 0.281733i) q^{64} +(-6.39255 - 13.9977i) q^{65} +(-9.98608 + 5.44505i) q^{66} +(7.67113 - 11.9365i) q^{67} +1.26359 q^{68} +(-6.78058 + 4.79830i) q^{69} -2.96086 q^{70} +(-4.56331 + 7.10066i) q^{71} +(-1.96730 + 2.26489i) q^{72} +(-4.95132 - 10.8419i) q^{73} +(5.77365 + 1.69530i) q^{74} +(0.469323 - 6.50725i) q^{75} +(5.25092 + 4.54994i) q^{76} +(-6.50000 - 0.934560i) q^{77} +(-5.39032 - 7.20961i) q^{78} +(-4.78661 + 4.14762i) q^{79} +(-2.49084 + 1.60076i) q^{80} +(-3.71912 - 8.19562i) q^{81} +(2.36219 + 2.72612i) q^{82} +(-9.99898 + 2.93596i) q^{83} +(-1.69269 + 0.367161i) q^{84} +(-2.45005 + 2.82750i) q^{85} +(3.18460 - 6.97330i) q^{86} +(0.400592 + 5.64853i) q^{87} +(-5.97341 + 2.72797i) q^{88} +(2.44633 + 17.0146i) q^{89} +(-1.25360 - 8.79369i) q^{90} -5.19724i q^{91} +(-4.10094 + 2.48642i) q^{92} +(7.34778 - 2.73557i) q^{93} +(-1.79331 - 1.15249i) q^{94} +(-20.3626 + 2.92770i) q^{95} +(-1.22548 + 1.22401i) q^{96} +(-1.20050 + 4.08852i) q^{97} +(-0.909632 - 0.415415i) q^{98} +(0.0235886 - 19.7005i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9}+O(q^{10}) $ 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9	$ 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9} + 4 q^{12} - 8 q^{13} - 24 q^{14} + 26 q^{15} - 24 q^{16} - 32 q^{17} + 40 q^{18} - 4 q^{20} + 8 q^{23} + 12 q^{25} + 116 q^{27} + 4 q^{30} + 16 q^{31} + 2 q^{33} - 4 q^{36} + 22 q^{37} + 8 q^{39} - 154 q^{41} - 4 q^{42} + 22 q^{43} - 24 q^{45} + 4 q^{46} - 4 q^{48} + 24 q^{49} - 88 q^{50} - 24 q^{51} + 8 q^{52} + 108 q^{53} + 12 q^{54} - 16 q^{55} + 24 q^{56} - 70 q^{57} - 4 q^{58} - 22 q^{59} - 26 q^{60} + 4 q^{63} + 24 q^{64} - 76 q^{66} - 44 q^{67} + 32 q^{68} - 86 q^{69} + 4 q^{70} + 4 q^{72} - 12 q^{73} + 16 q^{74} - 26 q^{75} - 78 q^{78} + 4 q^{80} - 168 q^{81} + 8 q^{82} - 16 q^{83} - 28 q^{85} - 16 q^{86} + 156 q^{87} - 24 q^{89} - 126 q^{90} - 8 q^{92} - 16 q^{93} - 8 q^{94} + 132 q^{97} - 172 q^{99}+O(q^{100}) $ 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9 + 4 * q^12 - 8 * q^13 - 24 * q^14 + 26 * q^15 - 24 * q^16 - 32 * q^17 + 40 * q^18 - 4 * q^20 + 8 * q^23 + 12 * q^25 + 116 * q^27 + 4 * q^30 + 16 * q^31 + 2 * q^33 - 4 * q^36 + 22 * q^37 + 8 * q^39 - 154 * q^41 - 4 * q^42 + 22 * q^43 - 24 * q^45 + 4 * q^46 - 4 * q^48 + 24 * q^49 - 88 * q^50 - 24 * q^51 + 8 * q^52 + 108 * q^53 + 12 * q^54 - 16 * q^55 + 24 * q^56 - 70 * q^57 - 4 * q^58 - 22 * q^59 - 26 * q^60 + 4 * q^63 + 24 * q^64 - 76 * q^66 - 44 * q^67 + 32 * q^68 - 86 * q^69 + 4 * q^70 + 4 * q^72 - 12 * q^73 + 16 * q^74 - 26 * q^75 - 78 * q^78 + 4 * q^80 - 168 * q^81 + 8 * q^82 - 16 * q^83 - 28 * q^85 - 16 * q^86 + 156 * q^87 - 24 * q^89 - 126 * q^90 - 8 * q^92 - 16 * q^93 - 8 * q^94 + 132 * q^97 - 172 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$-1$	$1$	$e\left(\frac{13}{22}\right)$

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 $

$2$	−0.540641	+	0.841254i	−0.382291	+	0.594856i
$2$	−0.540641	+	0.841254i	−0.382291	+	0.594856i
$3$	−0.829173	−	1.52068i	−0.478723	−	0.877966i
$3$	−0.829173	−	1.52068i	−0.478723	−	0.877966i
$4$	−0.415415	−	0.909632i	−0.207708	−	0.454816i
$5$	2.84093	+	0.834172i	1.27050	+	0.373053i	0.846393	−	0.532558i	$-0.178769\pi$
$5$	2.84093	+	0.834172i	1.27050	+	0.373053i	0.424109	+	0.905611i	$0.360587\pi$
$6$	1.72756	+	0.124597i	0.705275	+	0.0508667i
$7$	0.755750	+	0.654861i	0.285646	+	0.247514i
$7$	0.755750	+	0.654861i	0.285646	+	0.247514i
$8$	0.989821	+	0.142315i	0.349955	+	0.0503159i
$9$	−1.62494	+	2.52182i	−0.541648	+	0.840606i
$10$	−2.23767	+	1.93895i	−0.707614	+	0.613151i
$11$	−5.52438	+	3.55030i	−1.66566	+	1.07046i	−0.756524	+	0.653965i	$0.773104\pi$
$11$	−5.52438	+	3.55030i	−1.66566	+	1.07046i	−0.909139	+	0.416492i	$0.863259\pi$
$12$	−1.03881	+	1.38596i	−0.299878	+	0.400091i
$13$	−3.40347	−	3.92781i	−0.943953	−	1.08938i	−0.995876	−	0.0907286i	$-0.971080\pi$
$13$	−3.40347	−	3.92781i	−0.943953	−	1.08938i	0.0519227	−	0.998651i	$-0.483465\pi$
$14$	−0.959493	+	0.281733i	−0.256435	+	0.0752962i
$15$	−1.08711	−	5.01182i	−0.280691	−	1.29405i
$16$	−0.654861	+	0.755750i	−0.163715	+	0.188937i
$17$	−0.524915	+	1.14940i	−0.127311	+	0.278771i	−0.962545	−	0.271123i	$-0.912605\pi$
$17$	−0.524915	+	1.14940i	−0.127311	+	0.278771i	0.835234	+	0.549895i	$0.185332\pi$
$18$	−1.24298	−	2.73039i	−0.292972	−	0.643558i
$19$	−6.32008	+	2.88629i	−1.44993	+	0.662159i	−0.975873	−	0.218337i	$-0.929937\pi$
$19$	−6.32008	+	2.88629i	−1.44993	+	0.662159i	−0.474053	+	0.880496i	$0.657210\pi$
$20$	−0.421375	−	2.93073i	−0.0942223	−	0.655331i
$21$	0.369187	−	1.69225i	0.0805632	−	0.369279i
$22$		−	6.56685i		−	1.40006i
$23$	−0.558138	−	4.76324i	−0.116380	−	0.993205i
$23$	−0.558138	−	4.76324i	−0.116380	−	0.993205i
$24$	−0.604318	−	1.62321i	−0.123356	−	0.331336i
$25$	3.16877	+	2.03644i	0.633753	+	0.407289i
$26$	5.14434	−	0.739645i	1.00889	−	0.145056i
$27$	5.18224	+	0.379997i	0.997322	+	0.0731305i
$28$	0.281733	−	0.959493i	0.0532424	−	0.181327i
$29$	−2.97392	−	1.35815i	−0.552244	−	0.252201i	0.119692	−	0.992811i	$-0.461809\pi$
$29$	−2.97392	−	1.35815i	−0.552244	−	0.252201i	−0.671935	+	0.740610i	$0.734537\pi$
$30$	4.80395	+	1.79506i	0.877077	+	0.327731i
$31$	−0.644218	+	4.48063i	−0.115705	+	0.804746i	0.846494	+	0.532398i	$0.178709\pi$
$31$	−0.644218	+	4.48063i	−0.115705	+	0.804746i	−0.962199	+	0.272347i	$0.912200\pi$
$32$	−0.281733	−	0.959493i	−0.0498038	−	0.169616i
$33$	9.97955	+	5.45701i	1.73722	+	0.949943i
$34$	−0.683149	−	1.06300i	−0.117159	−	0.182303i
$35$	1.60076	+	2.49084i	0.270579	+	0.421028i
$36$	2.96895	+	0.430500i	0.494825	+	0.0717500i
$37$	−1.69530	−	5.77365i	−0.278705	−	0.949182i	−0.973253	−	0.229735i	$-0.926214\pi$
$37$	−1.69530	−	5.77365i	−0.278705	−	0.949182i	0.694548	−	0.719446i	$-0.255604\pi$
$38$	0.988797	−	6.87724i	0.160404	−	1.11564i
$39$	−3.15089	+	8.43243i	−0.504546	+	1.35027i
$40$	2.69330	+	1.22999i	0.425848	+	0.194478i
$41$	1.01626	−	3.46105i	0.158713	−	0.540526i	−0.841287	−	0.540588i	$-0.818202\pi$
$41$	1.01626	−	3.46105i	0.158713	−	0.540526i	1.00000		6.24099e-5i	$1.98657e-5\pi$
$42$	1.22401	+	1.22548i	0.188869	+	0.189095i
$43$	−7.58804	+	1.09100i	−1.15717	+	0.166375i	−0.694053	−	0.719924i	$-0.744176\pi$
$43$	−7.58804	+	1.09100i	−1.15717	+	0.166375i	−0.463112	+	0.886300i	$0.653267\pi$
$44$	5.52438	+	3.55030i	0.832832	+	0.535229i
$45$	−6.71998	+	5.80882i	−1.00176	+	0.865928i
$46$	4.30885	+	2.10567i	0.635305	+	0.310464i
$47$			2.13171i			0.310941i	0.987840	+	0.155471i	$0.0496894\pi$
$47$			2.13171i			0.310941i	−0.987840	+	0.155471i	$0.950311\pi$
$48$	1.69225	+	0.369187i	0.244255	+	0.0532876i
$49$	0.142315	+	0.989821i	0.0203307	+	0.141403i
$50$	−3.42633	+	1.56475i	−0.484556	+	0.221289i
$51$	2.18312	−	0.154826i	0.305698	−	0.0216800i
$52$	−2.15901	+	4.72758i	−0.299401	+	0.655597i
$53$	−2.05973	+	2.37706i	−0.282926	+	0.326514i	−0.879368	−	0.476142i	$-0.842035\pi$
$53$	−2.05973	+	2.37706i	−0.282926	+	0.326514i	0.596443	+	0.802656i	$0.296580\pi$
$54$	−3.12140	+	4.15413i	−0.424769	+	0.565306i
$55$	−18.6559	+	5.47788i	−2.51557	+	0.738637i
$56$	0.654861	+	0.755750i	0.0875094	+	0.100991i
$57$	9.62957	+	7.21760i	1.27547	+	0.955995i
$58$	2.75037	−	1.76755i	0.361141	−	0.232091i
$59$	1.02006	−	0.883887i	0.132800	−	0.115072i	−0.585928	−	0.810363i	$-0.699270\pi$
$59$	1.02006	−	0.883887i	0.132800	−	0.115072i	0.718729	+	0.695291i	$0.244724\pi$
$60$	−4.10731	+	3.07086i	−0.530251	+	0.396446i
$61$	4.79046	+	0.688764i	0.613355	+	0.0881872i	0.441989	−	0.897020i	$-0.354273\pi$
$61$	4.79046	+	0.688764i	0.613355	+	0.0881872i	0.171366	+	0.985207i	$0.445182\pi$
$62$	−3.42106	−	2.96436i	−0.434475	−	0.376475i
$63$	−2.87949	+	0.841750i	−0.362781	+	0.106051i
$64$	0.959493	+	0.281733i	0.119937	+	0.0352166i
$65$	−6.39255	−	13.9977i	−0.792898	−	1.73620i
$66$	−9.98608	+	5.44505i	−1.22920	+	0.670240i
$67$	7.67113	−	11.9365i	0.937178	−	1.45828i	0.0489880	−	0.998799i	$-0.484400\pi$
$67$	7.67113	−	11.9365i	0.937178	−	1.45828i	0.888190	−	0.459477i	$-0.151963\pi$
$68$	1.26359			0.153233
$69$	−6.78058	+	4.79830i	−0.816286	+	0.577648i
$70$	−2.96086			−0.353891
$71$	−4.56331	+	7.10066i	−0.541566	+	0.842693i	−0.998914	−	0.0465949i	$-0.985163\pi$
$71$	−4.56331	+	7.10066i	−0.541566	+	0.842693i	0.457348	+	0.889288i	$0.348799\pi$
$72$	−1.96730	+	2.26489i	−0.231848	+	0.266920i
$73$	−4.95132	−	10.8419i	−0.579508	−	1.26895i	−0.941578	−	0.336795i	$-0.890657\pi$
$73$	−4.95132	−	10.8419i	−0.579508	−	1.26895i	0.362070	−	0.932151i	$-0.382070\pi$
$74$	5.77365	+	1.69530i	0.671173	+	0.197074i
$75$	0.469323	−	6.50725i	0.0541928	−	0.751392i
$76$	5.25092	+	4.54994i	0.602321	+	0.521914i
$77$	−6.50000	−	0.934560i	−0.740744	−	0.106503i
$78$	−5.39032	−	7.20961i	−0.610333	−	0.816328i
$79$	−4.78661	+	4.14762i	−0.538536	+	0.466644i	−0.881153	−	0.472831i	$-0.843232\pi$
$79$	−4.78661	+	4.14762i	−0.538536	+	0.466644i	0.342617	+	0.939475i	$0.388687\pi$
$80$	−2.49084	+	1.60076i	−0.278484	+	0.178971i
$81$	−3.71912	−	8.19562i	−0.413236	−	0.910624i
$82$	2.36219	+	2.72612i	0.260861	+	0.301049i
$83$	−9.99898	+	2.93596i	−1.09753	+	0.322264i	−0.779871	−	0.625941i	$-0.784715\pi$
$83$	−9.99898	+	2.93596i	−1.09753	+	0.322264i	−0.317660	+	0.948205i	$0.602897\pi$
$84$	−1.69269	+	0.367161i	−0.184687	+	0.0400605i
$85$	−2.45005	+	2.82750i	−0.265745	+	0.306686i
$86$	3.18460	−	6.97330i	0.343404	−	0.751950i
$87$	0.400592	+	5.64853i	0.0429479	+	0.605586i
$88$	−5.97341	+	2.72797i	−0.636768	+	0.290802i
$89$	2.44633	+	17.0146i	0.259311	+	1.80355i	0.537763	+	0.843096i	$0.319269\pi$
$89$	2.44633	+	17.0146i	0.259311	+	1.80355i	−0.278453	+	0.960450i	$0.589822\pi$
$90$	−1.25360	−	8.79369i	−0.132141	−	0.926936i
$91$		−	5.19724i		−	0.544819i
$92$	−4.10094	+	2.48642i	−0.427552	+	0.259228i
$93$	7.34778	−	2.73557i	0.761930	−	0.283666i
$94$	−1.79331	−	1.15249i	−0.184965	−	0.118870i
$95$	−20.3626	+	2.92770i	−2.08916	+	0.300375i
$96$	−1.22548	+	1.22401i	−0.125075	+	0.124925i
$97$	−1.20050	+	4.08852i	−0.121892	+	0.415126i	−0.997719	−	0.0674984i	$-0.978498\pi$
$97$	−1.20050	+	4.08852i	−0.121892	+	0.415126i	0.875827	+	0.482625i	$0.160316\pi$
$98$	−0.909632	−	0.415415i	−0.0918867	−	0.0419633i
$99$	0.0235886	−	19.7005i	0.00237074	−	1.97998i
$100$	0.536060	−	3.72838i	0.0536060	−	0.372838i
$101$	1.42661	+	4.85860i	0.141953	+	0.483449i	0.999522	−	0.0309210i	$-0.00984403\pi$
$101$	1.42661	+	4.85860i	0.141953	+	0.483449i	−0.857568	+	0.514370i	$0.828026\pi$
$102$	−1.05004	+	1.92026i	−0.103969	+	0.190134i
$103$	4.26388	+	6.63473i	0.420133	+	0.653739i	0.985220	−	0.171291i	$-0.0547940\pi$
$103$	4.26388	+	6.63473i	0.420133	+	0.653739i	−0.565088	+	0.825031i	$0.691158\pi$
$104$	−2.80984	−	4.37220i	−0.275528	−	0.428729i
$105$	2.46046	−	4.49959i	0.240116	−	0.439115i
$106$	−0.886132	−	3.01789i	−0.0860688	−	0.293123i
$107$	−0.817274	+	5.68426i	−0.0790088	+	0.549519i	0.911418	+	0.411481i	$0.134988\pi$
$107$	−0.817274	+	5.68426i	−0.0790088	+	0.549519i	−0.990427	+	0.138037i	$0.955921\pi$
$108$	−1.80712	−	4.87179i	−0.173890	−	0.468788i
$109$	−8.09308	−	3.69599i	−0.775176	−	0.354011i	−0.0117709	−	0.999931i	$-0.503747\pi$
$109$	−8.09308	−	3.69599i	−0.775176	−	0.354011i	−0.763405	+	0.645920i	$0.776474\pi$
$110$	5.47788	−	18.6559i	0.522295	−	1.77877i
$111$	−7.37418	+	7.36536i	−0.699926	+	0.699089i
$112$	−0.989821	+	0.142315i	−0.0935293	+	0.0134475i
$113$	17.0436	+	10.9532i	1.60332	+	1.03039i	0.965567	+	0.260156i	$0.0837740\pi$
$113$	17.0436	+	10.9532i	1.60332	+	1.03039i	0.637757	+	0.770238i	$0.279862\pi$
$114$	−11.2780	+	4.19878i	−1.05628	+	0.393251i
$115$	2.38773	−	13.9976i	0.222657	−	1.30528i
$116$			3.26937i			0.303553i
$117$	15.4357	−	2.20045i	1.42703	−	0.203432i
$118$	0.192087	+	1.33599i	0.0176830	+	0.122988i
$119$	−1.14940	+	0.524915i	−0.105366	+	0.0481189i
$120$	−0.362791	−	5.11552i	−0.0331181	−	0.466981i
$121$	13.3446	−	29.2205i	1.21314	−	2.65641i
$122$	−3.16934	+	3.65761i	−0.286939	+	0.331145i
$123$	−6.10581	+	1.32441i	−0.550543	+	0.119418i
$124$	4.34335	−	1.27532i	0.390044	−	0.114527i
$125$	−2.39127	−	2.75968i	−0.213882	−	0.246833i
$126$	0.848644	−	2.87746i	0.0756032	−	0.256345i
$127$	−4.83929	+	3.11002i	−0.429417	+	0.275970i	−0.737444	−	0.675408i	$-0.763968\pi$
$127$	−4.83929	+	3.11002i	−0.429417	+	0.275970i	0.308027	+	0.951378i	$0.400331\pi$
$128$	−0.755750	+	0.654861i	−0.0667995	+	0.0578821i
$129$	7.95086	+	10.6344i	0.700034	+	0.936304i
$130$	15.2317	+	2.18999i	1.33591	+	0.192075i
$131$	2.93565	+	2.54376i	0.256489	+	0.222249i	0.773608	−	0.633664i	$-0.218450\pi$
$131$	2.93565	+	2.54376i	0.256489	+	0.222249i	−0.517119	+	0.855914i	$0.672995\pi$
$132$	0.818212	−	11.3446i	0.0712162	−	0.987424i
$133$	−6.66652	−	1.95747i	−0.578060	−	0.169734i
$134$	5.89431	+	12.9067i	0.509190	+	1.11497i
$135$	14.4054	+	5.40242i	1.23982	+	0.464967i
$136$	−0.683149	+	1.06300i	−0.0585795	+	0.0911515i
$137$	12.8329			1.09639			0.548193	−	0.836352i	$-0.315316\pi$
$137$	12.8329			1.09639			0.548193	+	0.836352i	$0.315316\pi$
$138$	−0.370732	−	8.29835i	−0.0315588	−	0.706402i
$139$	0.453825			0.0384930			0.0192465	−	0.999815i	$-0.493873\pi$
$139$	0.453825			0.0384930			0.0192465	+	0.999815i	$0.493873\pi$
$140$	1.60076	−	2.49084i	0.135289	−	0.210514i
$141$	3.24165	−	1.76755i	0.272996	−	0.148855i
$142$	−3.50634	−	7.67781i	−0.294245	−	0.644307i
$143$	32.7470	+	9.61539i	2.73844	+	0.804079i
$144$	−0.841750	−	2.87949i	−0.0701459	−	0.239957i
$145$	−7.31578	−	6.33916i	−0.607542	−	0.526438i
$146$	11.7977	+	1.69625i	0.976381	+	0.140382i
$147$	1.38720	−	1.03715i	0.114414	−	0.0855426i
$148$	−4.54764	+	3.94055i	−0.373814	+	0.323912i
$149$	−7.77491	+	4.99663i	−0.636946	+	0.409340i	−0.818875	−	0.573971i	$-0.805402\pi$
$149$	−7.77491	+	4.99663i	−0.636946	+	0.409340i	0.181930	+	0.983312i	$0.441766\pi$
$150$	5.22051	+	3.91290i	0.426253	+	0.319487i
$151$	11.6910	+	13.4921i	0.951399	+	1.09797i	0.995095	+	0.0989280i	$0.0315413\pi$
$151$	11.6910	+	13.4921i	0.951399	+	1.09797i	−0.0436957	+	0.999045i	$0.513913\pi$
$152$	−6.66652	+	1.95747i	−0.540726	+	0.158771i
$153$	−2.04563	−	3.19145i	−0.165379	−	0.258014i
$154$	4.30037	−	4.96289i	0.346534	−	0.399921i
$155$	−5.56780	+	12.1918i	−0.447216	+	0.979267i
$156$	8.97934	−	0.636812i	0.718922	−	0.0509858i
$157$	−8.09050	+	3.69481i	−0.645692	+	0.294878i	−0.711216	−	0.702973i	$-0.751855\pi$
$157$	−8.09050	+	3.69481i	−0.645692	+	0.294878i	0.0655241	+	0.997851i	$0.479128\pi$
$158$	−0.901365	−	6.26913i	−0.0717087	−	0.498745i
$159$	5.32262	+	1.16120i	0.422111	+	0.0920894i
$160$		−	2.96086i		−	0.234077i
$161$	2.69745	−	3.96532i	0.212589	−	0.312511i
$162$	8.90530	+	1.30216i	0.699666	+	0.102308i
$163$	8.04522	+	5.17035i	0.630150	+	0.404973i	0.816365	−	0.577536i	$-0.195986\pi$
$163$	8.04522	+	5.17035i	0.630150	+	0.404973i	−0.186215	+	0.982509i	$0.559622\pi$
$164$	−3.57045	+	0.513354i	−0.278806	+	0.0400862i
$165$	23.7991	+	23.8276i	1.85276	+	1.85498i
$166$	2.93596	−	9.99898i	0.227875	−	0.776071i
$167$	−15.8899	−	7.25668i	−1.22960	−	0.561539i	−0.308632	−	0.951182i	$-0.599871\pi$
$167$	−15.8899	−	7.25668i	−1.22960	−	0.561539i	−0.920966	+	0.389643i	$0.872598\pi$
$168$	0.606261	−	1.62248i	0.0467741	−	0.125177i
$169$	−1.99402	+	13.8687i	−0.153386	+	1.06682i
$170$	−1.05405	−	3.58977i	−0.0808421	−	0.275323i
$171$	2.99109	−	20.6281i	0.228735	−	1.57747i
$172$	4.14459	+	6.44911i	0.316022	+	0.491740i
$173$	3.55195	+	5.52695i	0.270050	+	0.420206i	0.949620	−	0.313405i	$-0.101470\pi$
$173$	3.55195	+	5.52695i	0.270050	+	0.420206i	−0.679570	+	0.733611i	$0.737833\pi$
$174$	−4.96842	−	2.71682i	−0.376655	−	0.205962i
$175$	1.06121	+	3.61414i	0.0802198	+	0.273203i
$176$	0.934560	−	6.50000i	0.0704451	−	0.489956i
$177$	−2.18992	−	0.818290i	−0.164604	−	0.0615065i
$178$	−15.6362	−	7.14081i	−1.17198	−	0.535226i
$179$	−2.64676	+	9.01405i	−0.197828	+	0.673741i	0.799498	+	0.600668i	$0.205099\pi$
$179$	−2.64676	+	9.01405i	−0.197828	+	0.673741i	−0.997327	+	0.0730730i	$0.976719\pi$
$180$	8.07547	+	3.69963i	0.601910	+	0.275755i
$181$	9.68923	−	1.39310i	0.720195	−	0.103548i	0.227534	−	0.973770i	$-0.426934\pi$
$181$	9.68923	−	1.39310i	0.720195	−	0.103548i	0.492660	+	0.870222i	$0.336025\pi$
$182$	4.37220	+	2.80984i	0.324089	+	0.208279i
$183$	−2.92473	−	7.85586i	−0.216202	−	0.580722i
$184$	0.125423	−	4.79419i	0.00924629	−	0.353432i
$185$		−	17.8167i		−	1.30991i
$186$	−1.67120	+	7.66031i	−0.122539	+	0.561681i
$187$	−1.18090	−	8.21335i	−0.0863561	−	0.600620i
$188$	1.93907	−	0.885543i	0.141421	−	0.0645849i
$189$	3.66763	+	3.68083i	0.266781	+	0.267741i
$190$	8.54590	−	18.7129i	0.619985	−	1.35758i
$191$	0.806279	−	0.930495i	0.0583403	−	0.0673283i	−0.725829	−	0.687875i	$-0.758544\pi$
$191$	0.806279	−	0.930495i	0.0583403	−	0.0673283i	0.784170	+	0.620547i	$0.213089\pi$
$192$	−0.367161	−	1.69269i	−0.0264975	−	0.122159i
$193$	4.60403	−	1.35187i	0.331406	−	0.0973095i	−0.111797	−	0.993731i	$-0.535661\pi$
$193$	4.60403	−	1.35187i	0.331406	−	0.0973095i	0.443202	+	0.896422i	$0.353842\pi$
$194$	−2.79044	−	3.22034i	−0.200342	−	0.231207i
$195$	−15.9855	+	21.3276i	−1.14475	+	1.52730i
$196$	0.841254	−	0.540641i	0.0600895	−	0.0386172i
$197$	8.09173	−	7.01152i	0.576512	−	0.499550i	−0.317099	−	0.948392i	$-0.602709\pi$
$197$	8.09173	−	7.01152i	0.576512	−	0.499550i	0.893611	+	0.448842i	$0.148163\pi$
$198$	16.5604	+	10.6708i	1.17690	+	0.758337i
$199$	−23.1248	−	3.32484i	−1.63927	−	0.235692i	−0.739850	−	0.672772i	$-0.765104\pi$
$199$	−23.1248	−	3.32484i	−1.63927	−	0.235692i	−0.899423	+	0.437080i	$0.856013\pi$
$200$	2.84670	+	2.46668i	0.201292	+	0.174420i
$201$	−24.5123	−	1.76791i	−1.72897	−	0.124699i
$202$	−4.85860	−	1.42661i	−0.341850	−	0.100376i
$203$	−1.35815	−	2.97392i	−0.0953231	−	0.208728i
$204$	−1.04774	−	1.92152i	−0.0733562	−	0.134533i
$205$	5.77423	−	8.98488i	0.403290	−	0.627531i
$206$	−7.88672			−0.549494
$207$	12.9190	+	6.33248i	0.897930	+	0.440138i
$208$	5.19724			0.360364
$209$	24.6674	−	38.3832i	1.70628	−	2.65502i
$210$	2.45507	+	4.50253i	0.169416	+	0.310704i
$211$	−9.43139	−	20.6519i	−0.649284	−	1.42173i	−0.892180	−	0.451681i	$-0.850825\pi$
$211$	−9.43139	−	20.6519i	−0.649284	−	1.42173i	0.242896	−	0.970052i	$-0.421903\pi$
$212$	3.01789	+	0.886132i	0.207269	+	0.0608598i
$213$	14.5816	+	1.05167i	0.999116	+	0.0720594i
$214$	−4.34006	−	3.76068i	−0.296680	−	0.257075i
$215$	−22.4672	−	3.23029i	−1.53225	−	0.220304i
$216$	5.07541	+	1.11364i	0.345338	+	0.0757735i
$217$	−3.42106	+	2.96436i	−0.232237	+	0.201234i
$218$	7.48471	−	4.81013i	0.506928	−	0.325783i
$219$	−12.3815	+	16.5192i	−0.836667	+	1.11626i
$220$	12.7328	+	14.6944i	0.858446	+	0.990700i
$221$	6.30117	−	1.85019i	0.423863	−	0.124457i
$222$	−2.20935	−	10.1856i	−0.148282	−	0.683611i
$223$	7.75947	−	8.95490i	0.519612	−	0.599665i	−0.433921	−	0.900951i	$-0.642870\pi$
$223$	7.75947	−	8.95490i	0.519612	−	0.599665i	0.953534	+	0.301286i	$0.0974159\pi$
$224$	0.415415	−	0.909632i	0.0277561	−	0.0607773i
$225$	−10.2846	+	4.68195i	−0.685640	+	0.312130i
$226$	−18.4289	+	8.41619i	−1.22587	+	0.559837i
$227$	2.05031	+	14.2602i	0.136084	+	0.946484i	0.937403	+	0.348247i	$0.113223\pi$
$227$	2.05031	+	14.2602i	0.136084	+	0.946484i	−0.801319	+	0.598237i	$0.795868\pi$
$228$	2.56510	−	11.7577i	0.169878	−	0.778670i
$229$			2.91872i			0.192874i	0.995339	+	0.0964371i	$0.0307447\pi$
$229$			2.91872i			0.192874i	−0.995339	+	0.0964371i	$0.969255\pi$
$230$	10.4846	+	9.57637i	0.691337	+	0.631447i
$231$	3.96846	+	10.6593i	0.261106	+	0.701334i
$232$	−2.75037	−	1.76755i	−0.180571	−	0.116046i
$233$	6.97526	−	1.00289i	0.456964	−	0.0657016i	0.0900107	−	0.995941i	$-0.471310\pi$
$233$	6.97526	−	1.00289i	0.456964	−	0.0657016i	0.366954	+	0.930239i	$0.380401\pi$
$234$	−6.49402	+	14.1750i	−0.424527	+	0.926647i
$235$	−1.77821	+	6.05603i	−0.115998	+	0.395052i
$236$	−1.22776	−	0.560699i	−0.0799204	−	0.0364984i
$237$	10.2761	+	3.83981i	0.667507	+	0.249423i
$238$	0.179828	−	1.25073i	0.0116565	−	0.0810728i
$239$	−4.70181	−	16.0129i	−0.304135	−	1.03579i	−0.959788	−	0.280725i	$-0.909425\pi$
$239$	−4.70181	−	16.0129i	−0.304135	−	1.03579i	0.655653	−	0.755062i	$-0.272393\pi$
$240$	4.49959	+	2.46046i	0.290447	+	0.158822i
$241$	−5.74102	−	8.93320i	−0.369811	−	0.575438i	0.605616	−	0.795757i	$-0.292927\pi$
$241$	−5.74102	−	8.93320i	−0.369811	−	0.575438i	−0.975428	+	0.220319i	$0.929290\pi$
$242$	17.3673	+	27.0240i	1.11641	+	1.73717i
$243$	−9.37913	+	12.4512i	−0.601671	+	0.798744i
$244$	−1.36351	−	4.64368i	−0.0872895	−	0.297281i
$245$	−0.421375	+	2.93073i	−0.0269207	+	0.187237i
$246$	2.18689	−	5.85257i	0.139431	−	0.373146i
$247$	32.8470	+	15.0007i	2.09001	+	0.954474i
$248$	−1.27532	+	4.34335i	−0.0809830	+	0.275803i
$249$	12.7556	+	12.7708i	0.808350	+	0.809319i
$250$	3.61441	−	0.519673i	0.228595	−	0.0328670i
$251$	11.6552	+	7.49037i	0.735673	+	0.472788i	0.854057	−	0.520180i	$-0.174135\pi$
$251$	11.6552	+	7.49037i	0.735673	+	0.472788i	−0.118384	+	0.992968i	$0.537771\pi$
$252$	1.96187	+	2.26960i	0.123586	+	0.142971i
$253$	19.9943	+	24.3324i	1.25703	+	1.52977i
$254$		−	5.75247i		−	0.360942i
$255$	6.33124	+	1.38125i	0.396478	+	0.0864971i
$256$	−0.142315	−	0.989821i	−0.00889468	−	0.0618638i
$257$	−11.8898	+	5.42990i	−0.741666	+	0.338708i	−0.750160	−	0.661256i	$-0.770024\pi$
$257$	−11.8898	+	5.42990i	−0.741666	+	0.338708i	0.00849377	+	0.999964i	$0.497296\pi$
$258$	−13.2448	+	0.939314i	−0.824582	+	0.0584791i
$259$	2.49972	−	5.47361i	0.155325	−	0.340114i
$260$	−10.0772	+	11.6297i	−0.624962	+	0.721245i
$261$	8.25745	−	5.29278i	0.511123	−	0.327615i
$262$	−3.72708	+	1.09437i	−0.230260	+	0.0676104i
$263$	−7.99135	−	9.22251i	−0.492768	−	0.568684i	0.453835	−	0.891086i	$-0.350055\pi$
$263$	−7.99135	−	9.22251i	−0.492768	−	0.568684i	−0.946603	+	0.322401i	$0.895510\pi$
$264$	9.10136	+	6.82170i	0.560150	+	0.419847i
$265$	−7.83442	+	5.03488i	−0.481265	+	0.309290i
$266$	5.25092	−	4.54994i	0.321954	−	0.278975i
$267$	23.8454	−	17.8282i	1.45931	−	1.09107i
$268$	−14.0445	−	2.01930i	−0.857906	−	0.123348i
$269$	−14.3354	−	12.4217i	−0.874043	−	0.757363i	0.0972468	−	0.995260i	$-0.468996\pi$
$269$	−14.3354	−	12.4217i	−0.874043	−	0.757363i	−0.971290	+	0.237897i	$0.923542\pi$
$270$	−12.3330	+	9.19781i	−0.750559	+	0.559761i
$271$	18.3900	+	5.39980i	1.11711	+	0.328015i	0.787631	−	0.616147i	$-0.211307\pi$
$271$	18.3900	+	5.39980i	1.11711	+	0.328015i	0.329484	+	0.944161i	$0.393125\pi$
$272$	−0.524915	−	1.14940i	−0.0318276	−	0.0696928i
$273$	−7.90335	+	4.30942i	−0.478333	+	0.260818i
$274$	−6.93797	+	10.7957i	−0.419138	+	0.652191i
$275$	−24.7355			−1.49161
$276$	7.18145	+	4.17455i	0.432272	+	0.251278i
$277$	12.3972			0.744877			0.372438	−	0.928057i	$-0.378522\pi$
$277$	12.3972			0.744877			0.372438	+	0.928057i	$0.378522\pi$
$278$	−0.245357	+	0.381782i	−0.0147155	+	0.0228978i
$279$	−10.2525	−	8.90538i	−0.613802	−	0.533151i
$280$	1.22999	+	2.69330i	0.0735058	+	0.160955i
$281$	−8.86993	−	2.60445i	−0.529136	−	0.155368i	0.00624288	−	0.999981i	$-0.498013\pi$
$281$	−8.86993	−	2.60445i	−0.529136	−	0.155368i	−0.535378	+	0.844612i	$0.679831\pi$
$282$	−0.265605	+	3.68266i	−0.0158166	+	0.219299i
$283$	−7.25410	−	6.28572i	−0.431212	−	0.373647i	0.412040	−	0.911166i	$-0.364816\pi$
$283$	−7.25410	−	6.28572i	−0.431212	−	0.373647i	−0.843252	+	0.537519i	$0.819362\pi$
$284$	8.35465	+	1.20122i	0.495757	+	0.0712792i
$285$	21.3362	+	28.5374i	1.26385	+	1.69041i
$286$	−25.7934	+	22.3501i	−1.52519	+	1.32159i
$287$	3.03454	−	1.95018i	0.179124	−	0.115116i
$288$	2.87746	+	0.848644i	0.169556	+	0.0500068i
$289$	10.0870	+	11.6411i	0.593355	+	0.684769i
$290$	9.28805	−	2.72722i	0.545413	−	0.160148i
$291$	7.21275	−	1.56452i	0.422819	−	0.0917136i
$292$	−7.80526	+	9.00776i	−0.456769	+	0.527139i
$293$	−12.6558	+	27.7124i	−0.739362	+	1.61898i	0.0452389	+	0.998976i	$0.485595\pi$
$293$	−12.6558	+	27.7124i	−0.739362	+	1.61898i	−0.784601	+	0.620001i	$0.787132\pi$
$294$	0.122529	+	1.72771i	0.00714602	+	0.100762i
$295$	3.63523	−	1.66015i	0.211651	−	0.0966579i
$296$	−0.856364	−	5.95614i	−0.0497752	−	0.346194i
$297$	−29.9778	+	16.2993i	−1.73949	+	0.945780i
$298$		−	9.24206i		−	0.535378i
$299$	−16.8095	+	18.4038i	−0.972120	+	1.06432i
$300$	−6.11417	+	2.27630i	−0.353002	+	0.131422i
$301$	−6.44911	−	4.14459i	−0.371720	−	0.238890i
$302$	−17.6709	+	2.54069i	−1.01685	+	0.146201i
$303$	6.20547	−	6.19805i	0.356495	−	0.356069i
$304$	1.95747	−	6.66652i	0.112268	−	0.382351i
$305$	13.0348	+	5.95279i	0.746370	+	0.340856i
$306$	3.79077	+	0.00453892i	0.216704	+	0.000259473i
$307$	2.94414	−	20.4770i	0.168031	−	1.16868i	−0.714917	−	0.699210i	$-0.753535\pi$
$307$	2.94414	−	20.4770i	0.168031	−	1.16868i	0.882948	−	0.469472i	$-0.155556\pi$
$308$	1.85009	+	6.30084i	0.105419	+	0.359024i
$309$	6.55381	−	11.9853i	0.372833	−	0.681823i
$310$	−7.24620	−	11.2753i	−0.411556	−	0.640394i
$311$	−3.95356	−	6.15185i	−0.224186	−	0.348840i	0.710881	−	0.703313i	$-0.248297\pi$
$311$	−3.95356	−	6.15185i	−0.224186	−	0.348840i	−0.935066	+	0.354473i	$0.884660\pi$
$312$	−4.31888	+	7.89819i	−0.244508	+	0.447147i
$313$	1.96687	+	6.69855i	0.111174	+	0.378624i	0.996219	−	0.0868821i	$-0.0276903\pi$
$313$	1.96687	+	6.69855i	0.111174	+	0.378624i	−0.885044	+	0.465507i	$0.845872\pi$
$314$	1.26578	−	8.80372i	0.0714324	−	0.496823i
$315$	−8.88259	−	0.0106357i	−0.500477	−	0.000599251i
$316$	5.76124	+	2.63107i	0.324095	+	0.148009i
$317$	−0.784787	+	2.67274i	−0.0440781	+	0.150116i	−0.978592	−	0.205811i	$-0.934017\pi$
$317$	−0.784787	+	2.67274i	−0.0440781	+	0.150116i	0.934514	+	0.355927i	$0.115835\pi$
$318$	−3.85449	+	3.84988i	−0.216149	+	0.215890i
$319$	21.2509	−	3.05542i	1.18982	−	0.171071i
$320$	2.49084	+	1.60076i	0.139242	+	0.0894854i
$321$	9.32162	−	3.47043i	0.520282	−	0.193700i
$322$	1.87749	+	4.41305i	0.104628	+	0.245930i
$323$		−	8.77938i		−	0.488498i
$324$	−5.91002	+	6.78761i	−0.328334	+	0.377090i
$325$	−2.78604	−	19.3773i	−0.154541	−	1.07486i
$326$	−8.69914	+	3.97277i	−0.481801	+	0.220031i
$327$	1.09015	+	15.3716i	0.0602854	+	0.850052i
$328$	1.49847	−	3.28120i	0.0827393	−	0.181174i
$329$	−1.39597	+	1.61104i	−0.0769624	+	0.0888193i
$330$	−32.9119	+	7.13890i	−1.81174	+	0.392984i
$331$	13.3302	−	3.91409i	0.732693	−	0.215138i	0.105958	−	0.994371i	$-0.466209\pi$
$331$	13.3302	−	3.91409i	0.732693	−	0.215138i	0.626735	+	0.779233i	$0.284391\pi$
$332$	6.82437	+	7.87574i	0.374536	+	0.432238i
$333$	17.3148	+	5.10662i	0.948847	+	0.279841i
$334$	14.6954	−	9.44418i	0.804099	−	0.516763i
$335$	31.7502	−	27.5117i	1.73470	−	1.50313i
$336$	1.03715	+	1.38720i	0.0565811	+	0.0756779i
$337$	14.5900	+	2.09773i	0.794770	+	0.114271i	0.527727	−	0.849414i	$-0.323044\pi$
$337$	14.5900	+	2.09773i	0.794770	+	0.114271i	0.267043	+	0.963685i	$0.413953\pi$
$338$	−10.5891	−	9.17548i	−0.575969	−	0.499080i
$339$	2.52431	−	35.0000i	0.137102	−	1.90094i
$340$	3.58977	+	1.05405i	0.194683	+	0.0571640i
$341$	−12.3487	−	27.0399i	−0.668720	−	1.46429i
$342$	15.7364	+	13.6687i	0.850927	+	0.739118i
$343$	−0.540641	+	0.841254i	−0.0291919	+	0.0454234i
$344$	−7.66607			−0.413327
$345$	−23.2658	+	7.97547i	−1.25259	+	0.429385i
$346$	−6.56989			−0.353200
$347$	1.26821	−	1.97337i	0.0680809	−	0.105936i	−0.805544	−	0.592536i	$-0.798127\pi$
$347$	1.26821	−	1.97337i	0.0680809	−	0.105936i	0.873625	+	0.486600i	$0.161763\pi$
$348$	4.97167	−	2.71087i	0.266509	−	0.145318i
$349$	−8.35339	−	18.2914i	−0.447147	−	0.979115i	−0.990231	−	0.139437i	$-0.955471\pi$
$349$	−8.35339	−	18.2914i	−0.447147	−	0.979115i	0.543084	−	0.839678i	$-0.317256\pi$
$350$	−3.61414	−	1.06121i	−0.193184	−	0.0567239i
$351$	−16.1450	−	21.6482i	−0.861758	−	1.15549i
$352$	4.96289	+	4.30037i	0.264523	+	0.229210i
$353$	−16.1719	−	2.32517i	−0.860744	−	0.123756i	−0.302213	−	0.953240i	$-0.597726\pi$
$353$	−16.1719	−	2.32517i	−0.860744	−	0.123756i	−0.558530	+	0.829484i	$0.688635\pi$
$354$	1.87235	−	1.39987i	0.0995142	−	0.0744025i
$355$	−18.8872	+	16.3659i	−1.00243	+	0.868610i
$356$	14.4608	−	9.29339i	0.766421	−	0.492549i
$357$	1.75128	+	1.31263i	0.0926877	+	0.0694718i
$358$	−6.15215	−	7.09996i	−0.325151	−	0.375245i
$359$	6.26094	−	1.83838i	0.330440	−	0.0970259i	−0.112304	−	0.993674i	$-0.535823\pi$
$359$	6.26094	−	1.83838i	0.330440	−	0.0970259i	0.442744	+	0.896648i	$0.354005\pi$
$360$	−7.47826	+	4.79334i	−0.394139	+	0.252631i
$361$	19.1705	−	22.1239i	1.00897	−	1.16442i
$362$	−4.06644	+	8.90427i	−0.213727	+	0.467998i
$363$	−55.5001	+	3.93605i	−2.91300	+	0.206589i
$364$	−4.72758	+	2.15901i	−0.247792	+	0.113163i
$365$	−5.02236	−	34.9313i	−0.262882	−	1.82839i
$366$	8.19000	+	1.78676i	0.428098	+	0.0933955i
$367$		−	25.1405i		−	1.31232i	−0.754620	−	0.656162i	$-0.772179\pi$
$367$		−	25.1405i		−	1.31232i	0.754620	−	0.656162i	$-0.227821\pi$
$368$	3.96532	+	2.69745i	0.206707	+	0.140614i
$369$	7.07678	+	8.18683i	0.368403	+	0.426189i
$370$	14.9884	+	9.63243i	0.779207	+	0.500766i
$371$	−3.11328	+	0.447622i	−0.161634	+	0.0232394i
$372$	−5.54074	−	5.54738i	−0.287274	−	0.287618i
$373$	−9.96104	+	33.9242i	−0.515763	+	1.75653i	0.128485	+	0.991711i	$0.458989\pi$
$373$	−9.96104	+	33.9242i	−0.515763	+	1.75653i	−0.644248	+	0.764817i	$0.722830\pi$
$374$	7.54795	+	3.44703i	0.390295	+	0.178242i
$375$	−2.21381	+	5.92461i	−0.114321	+	0.305946i
$376$	−0.303374	+	2.11001i	−0.0156453	+	0.108815i
$377$	4.78712	+	16.3034i	0.246549	+	0.839669i
$378$	−5.07938	+	1.09540i	−0.261255	+	0.0563413i
$379$	18.1898	+	28.3038i	0.934345	+	1.45387i	0.890579	+	0.454828i	$0.150299\pi$
$379$	18.1898	+	28.3038i	0.934345	+	1.45387i	0.0437662	+	0.999042i	$0.486064\pi$
$380$	11.1220	+	17.3062i	0.570549	+	0.887791i
$381$	8.74196	+	4.78027i	0.447864	+	0.244901i
$382$	0.346875	+	1.18135i	0.0177477	+	0.0604430i
$383$	1.48485	−	10.3274i	0.0758722	−	0.527703i	−0.916071	−	0.401017i	$-0.868657\pi$
$383$	1.48485	−	10.3274i	0.0758722	−	0.527703i	0.991943	−	0.126686i	$-0.0404341\pi$
$384$	1.62248	+	0.606261i	0.0827969	+	0.0309381i
$385$	−17.6865	−	8.07714i	−0.901386	−	0.411649i
$386$	−1.35187	+	4.60403i	−0.0688082	+	0.234339i
$387$	9.57884	−	20.9084i	0.486920	−	1.06284i
$388$	4.21775	−	0.606421i	0.214124	−	0.0307864i
$389$	−11.5994	−	7.45447i	−0.588112	−	0.377957i	0.212481	−	0.977165i	$-0.431846\pi$
$389$	−11.5994	−	7.45447i	−0.588112	−	0.377957i	−0.800593	+	0.599208i	$0.795482\pi$
$390$	−9.29945	−	24.9784i	−0.470896	−	1.26483i
$391$	5.76786	+	1.85877i	0.291693	+	0.0940021i
$392$			1.00000i			0.0505076i
$393$	1.43408	−	6.57341i	0.0723398	−	0.331585i
$394$	1.52375	+	10.5979i	0.0767654	+	0.533915i
$395$	−17.0583	+	7.79025i	−0.858294	+	0.391970i
$396$	−17.9300	+	8.16244i	−0.901018	+	0.410178i
$397$	−9.63243	+	21.0921i	−0.483438	+	1.05858i	0.498066	+	0.867139i	$0.334044\pi$
$397$	−9.63243	+	21.0921i	−0.483438	+	1.05858i	−0.981504	+	0.191442i	$0.938684\pi$
$398$	15.2992	−	17.6563i	0.766882	−	0.885029i
$399$	2.55102	+	11.7607i	0.127711	+	0.588773i
$400$	−3.61414	+	1.06121i	−0.180707	+	0.0530604i
$401$	7.19010	+	8.29782i	0.359057	+	0.414373i	0.906323	−	0.422585i	$-0.138877\pi$
$401$	7.19010	+	8.29782i	0.359057	+	0.414373i	−0.547267	+	0.836958i	$0.684332\pi$
$402$	14.7396	−	19.6653i	0.735145	−	0.980815i
$403$	19.7917	−	12.7193i	0.985894	−	0.633595i
$404$	3.82690	−	3.31603i	0.190395	−	0.164979i
$405$	−3.72920	−	26.3856i	−0.185305	−	1.31111i
$406$	3.23609	+	0.465280i	0.160605	+	0.0230914i
$407$	29.8637	+	25.8770i	1.48029	+	1.28268i
$408$	2.18293	+	0.157440i	0.108071	+	0.00779445i
$409$	10.5276	+	3.09118i	0.520557	+	0.152849i	0.531447	−	0.847091i	$-0.321648\pi$
$409$	10.5276	+	3.09118i	0.520557	+	0.152849i	−0.0108905	+	0.999941i	$0.503467\pi$
$410$	4.43678	+	9.71518i	0.219117	+	0.479799i
$411$	−10.6407	−	19.5147i	−0.524865	−	0.962589i
$412$	4.26388	−	6.63473i	0.210066	−	0.326870i
$413$	1.34973			0.0664160
$414$	−12.3117	+	7.44453i	−0.605089	+	0.365879i
$415$	−30.8555			−1.51464
$416$	−2.80984	+	4.37220i	−0.137764	+	0.214365i
$417$	−0.376300	−	0.690124i	−0.0184275	−	0.0337955i
$418$	18.9538	+	41.5030i	0.927060	+	2.02998i
$419$	−21.5625	−	6.33134i	−1.05340	−	0.309306i	−0.291209	−	0.956659i	$-0.594058\pi$
$419$	−21.5625	−	6.33134i	−1.05340	−	0.309306i	−0.762190	+	0.647353i	$0.775876\pi$
$420$	−5.11508	−	0.368916i	−0.249590	−	0.0180013i
$421$	−22.2445	−	19.2750i	−1.08413	−	0.939405i	−0.0857515	−	0.996317i	$-0.527329\pi$
$421$	−22.2445	−	19.2750i	−1.08413	−	0.939405i	−0.998379	+	0.0569120i	$0.981875\pi$
$422$	22.4725	+	3.23105i	1.09394	+	0.157285i
$423$	−5.37578	−	3.46390i	−0.261379	−	0.168421i
$424$	−2.37706	+	2.05973i	−0.115440	+	0.100029i
$425$	−4.00403	+	2.57323i	−0.194224	+	0.124820i
$426$	−8.76814	+	11.6983i	−0.424818	+	0.566782i
$427$	3.16934	+	3.65761i	0.153375	+	0.177004i
$428$	5.51010	−	1.61791i	0.266341	−	0.0782046i
$429$	−12.5310	−	57.7706i	−0.605003	−	2.78919i
$430$	14.8642	−	17.1541i	0.716813	−	0.827247i
$431$	14.3526	−	31.4277i	0.691338	−	1.51382i	−0.158829	−	0.987306i	$-0.550772\pi$
$431$	14.3526	−	31.4277i	0.691338	−	1.51382i	0.850167	−	0.526513i	$-0.176501\pi$
$432$	−3.68083	+	3.66763i	−0.177094	+	0.176459i
$433$	−20.1430	+	9.19899i	−0.968010	+	0.442075i	−0.835732	−	0.549138i	$-0.814956\pi$
$433$	−20.1430	+	9.19899i	−0.968010	+	0.442075i	−0.132278	+	0.991213i	$0.542229\pi$
$434$	−0.644218	−	4.48063i	−0.0309235	−	0.215077i
$435$	−3.57379	+	16.3812i	−0.171350	+	0.785420i
$436$			8.89709i			0.426093i
$437$	17.2756	+	28.4931i	0.826402	+	1.36301i
$438$	−7.20285	−	19.3469i	−0.344165	−	0.924433i
$439$	−24.3043	−	15.6194i	−1.15998	−	0.745473i	−0.188377	−	0.982097i	$-0.560323\pi$
$439$	−24.3043	−	15.6194i	−1.15998	−	0.745473i	−0.971601	+	0.236624i	$0.923959\pi$
$440$	−19.2456	+	2.76710i	−0.917500	+	0.131917i
$441$	−2.72740	−	1.24951i	−0.129876	−	0.0595006i
$442$	−1.85019	+	6.30117i	−0.0880046	+	0.299716i
$443$	−13.2356	−	6.04448i	−0.628841	−	0.287182i	0.0753888	−	0.997154i	$-0.475980\pi$
$443$	−13.2356	−	6.04448i	−0.628841	−	0.287182i	−0.704230	+	0.709972i	$0.748707\pi$
$444$	9.76311	+	3.64811i	0.463337	+	0.173132i
$445$	−7.24326	+	50.3780i	−0.343363	+	2.38815i
$446$	3.33826	+	11.3691i	0.158071	+	0.538341i
$447$	14.0450	+	7.68009i	0.664307	+	0.363256i
$448$	0.540641	+	0.841254i	0.0255429	+	0.0397455i
$449$	−7.98577	−	12.4261i	−0.376872	−	0.586424i	0.600065	−	0.799951i	$-0.295141\pi$
$449$	−7.98577	−	12.4261i	−0.376872	−	0.586424i	−0.976937	+	0.213527i	$0.931505\pi$
$450$	1.62157	−	11.1832i	0.0764416	−	0.527181i
$451$	6.67361	+	22.7282i	0.314248	+	1.07023i
$452$	2.88326	−	20.0535i	0.135617	−	0.943238i
$453$	10.8234	−	28.9656i	0.508526	−	1.36092i
$454$	−13.1049	−	5.98482i	−0.615045	−	0.280882i
$455$	4.33540	−	14.7650i	0.203246	−	0.692194i
$456$	8.50438	+	8.51457i	0.398254	+	0.398731i
$457$	22.0828	−	3.17503i	1.03299	−	0.148522i	0.395092	−	0.918642i	$-0.370713\pi$
$457$	22.0828	−	3.17503i	1.03299	−	0.148522i	0.637899	+	0.770120i	$0.279804\pi$
$458$	−2.45538	−	1.57798i	−0.114732	−	0.0737340i
$459$	−3.15700	+	5.75702i	−0.147356	+	0.268714i
$460$	−13.7246	+	3.64286i	−0.639912	+	0.169849i
$461$		−	37.3153i		−	1.73794i	−0.494861	−	0.868972i	$-0.664781\pi$
$461$		−	37.3153i		−	1.73794i	0.494861	−	0.868972i	$-0.335219\pi$
$462$	−11.1127	−	2.42439i	−0.517011	−	0.112793i
$463$	−2.14628	−	14.9277i	−0.0997460	−	0.693749i	−0.976925	−	0.213585i	$-0.931486\pi$
$463$	−2.14628	−	14.9277i	−0.0997460	−	0.693749i	0.877179	−	0.480164i	$-0.159423\pi$
$464$	2.97392	−	1.35815i	0.138061	−	0.0630503i
$465$	23.1565	−	1.64225i	1.07386	−	0.0761575i
$466$	−2.92742	+	6.41016i	−0.135610	+	0.296945i
$467$	−1.92527	+	2.22188i	−0.0890910	+	0.102817i	−0.798545	−	0.601936i	$-0.794396\pi$
$467$	−1.92527	+	2.22188i	−0.0890910	+	0.102817i	0.709454	+	0.704752i	$0.248942\pi$
$468$	−8.41381	−	13.1267i	−0.388929	−	0.606781i
$469$	13.6142	−	3.99749i	0.628645	−	0.184587i
$470$	−4.13328	−	4.77006i	−0.190654	−	0.220027i
$471$	12.3271	+	9.23944i	0.568001	+	0.425731i
$472$	1.13547	−	0.729720i	0.0522641	−	0.0335881i
$473$	38.0459	−	32.9669i	1.74935	−	1.51582i
$474$	−8.78596	+	6.56888i	−0.403553	+	0.301719i
$475$	−25.9046	−	3.72452i	−1.18859	−	0.170893i
$476$	0.954959	+	0.827476i	0.0437705	+	0.0379273i
$477$	−2.64755	−	9.05684i	−0.121223	−	0.414684i
$478$	16.0129	+	4.70181i	0.732412	+	0.215056i
$479$	0.366429	+	0.802367i	0.0167425	+	0.0366611i	0.917819	−	0.397000i	$-0.129949\pi$
$479$	0.366429	+	0.802367i	0.0167425	+	0.0366611i	−0.901076	+	0.433661i	$0.857221\pi$
$480$	−4.50253	+	2.45507i	−0.205512	+	0.112058i
$481$	−16.9079	+	26.3092i	−0.770935	+	1.19960i
$482$	10.6189			0.483678
$483$	−8.26664	−	0.814019i	−0.376145	−	0.0370392i
$484$	−32.1235			−1.46016
$485$	−6.82106	+	10.6138i	−0.309728	+	0.481946i
$486$	−5.40386	−	14.6218i	−0.245124	−	0.663260i
$487$	−4.81590	−	10.5454i	−0.218229	−	0.477855i	0.768578	−	0.639756i	$-0.220965\pi$
$487$	−4.81590	−	10.5454i	−0.218229	−	0.477855i	−0.986807	+	0.161901i	$0.948237\pi$
$488$	4.64368	+	1.36351i	0.210209	+	0.0617230i
$489$	1.19157	−	16.5213i	0.0538847	−	0.747120i
$490$	−2.23767	−	1.93895i	−0.101088	−	0.0875930i
$491$	−0.683285	−	0.0982415i	−0.0308362	−	0.00443358i	0.126879	−	0.991918i	$-0.459504\pi$
$491$	−0.683285	−	0.0982415i	−0.0308362	−	0.00443358i	−0.157716	+	0.987485i	$0.550413\pi$
$492$	3.74117	+	5.00386i	0.168665	+	0.225592i
$493$	3.12211	−	2.70533i	0.140613	−	0.121842i
$494$	−30.3779	+	19.5227i	−1.36676	+	0.878366i
$495$	16.5006	−	55.9481i	0.741649	−	2.51468i
$496$	−2.96436	−	3.42106i	−0.133104	−	0.153610i
$497$	−8.09866	+	2.37798i	−0.363275	+	0.106667i
$498$	−17.6397	+	3.82622i	−0.790453	+	0.171457i
$499$	2.72844	−	3.14879i	0.122142	−	0.140959i	−0.691385	−	0.722486i	$-0.742999\pi$
$499$	2.72844	−	3.14879i	0.122142	−	0.140959i	0.813527	+	0.581527i	$0.197545\pi$
$500$	−1.51692	+	3.32159i	−0.0678387	+	0.148546i
$501$	2.14039	+	30.1805i	0.0956257	+	1.34837i
$502$	−12.6026	+	5.75542i	−0.562482	+	0.256877i
$503$	5.57503	+	38.7752i	0.248578	+	1.72890i	0.606443	+	0.795127i	$0.292596\pi$
$503$	5.57503	+	38.7752i	0.248578	+	1.72890i	−0.357865	+	0.933773i	$0.616495\pi$
$504$	−2.96997	+	0.423389i	−0.132293	+	0.0188592i
$505$			14.9930i			0.667179i
$506$	−31.2795	+	3.66521i	−1.39054	+	0.162938i
$507$	22.7433	−	8.46731i	1.01007	−	0.376046i
$508$	4.83929	+	3.11002i	0.214709	+	0.137985i
$509$	−7.73854	+	1.11263i	−0.343005	+	0.0493166i	−0.311665	−	0.950192i	$-0.600887\pi$
$509$	−7.73854	+	1.11263i	−0.343005	+	0.0493166i	−0.0313400	+	0.999509i	$0.509977\pi$
$510$	−4.58491	+	4.57942i	−0.203023	+	0.202780i
$511$	3.35796	−	11.4362i	0.148547	−	0.505906i
$512$	0.909632	+	0.415415i	0.0402004	+	0.0183589i
$513$	−33.8490	+	12.5558i	−1.49447	+	0.554352i
$514$	1.86020	−	12.9380i	0.0820499	−	0.570670i
$515$	6.57888	+	22.4056i	0.289900	+	0.987309i
$516$	6.37045	−	11.6500i	0.280444	−	0.512864i
$517$	−7.56821	−	11.7764i	−0.332850	−	0.517924i
$518$	3.25325	+	5.06215i	0.142940	+	0.222418i
$519$	5.45954	−	9.98418i	0.239647	−	0.438257i
$520$	−4.33540	−	14.7650i	−0.190120	−	0.647488i
$521$	0.762182	−	5.30109i	0.0333918	−	0.232245i	−0.966290	−	0.257455i	$-0.917116\pi$
$521$	0.762182	−	5.30109i	0.0333918	−	0.232245i	0.999682	+	0.0252096i	$0.00802532\pi$
$522$	−0.0117438	+	9.80810i	−0.000514013	+	0.429289i
$523$	−5.13307	−	2.34419i	−0.224453	−	0.102504i	0.300015	−	0.953935i	$-0.403008\pi$
$523$	−5.13307	−	2.34419i	−0.224453	−	0.102504i	−0.524468	+	0.851430i	$0.675736\pi$
$524$	1.09437	−	3.72708i	0.0478078	−	0.162818i
$525$	4.61603	−	4.61051i	0.201460	−	0.201219i
$526$	12.0789	−	1.73669i	0.526666	−	0.0757231i
$527$	−4.81189	−	3.09242i	−0.209609	−	0.134708i
$528$	−10.6593	+	3.96846i	−0.463889	+	0.172705i
$529$	−22.3770	+	5.31710i	−0.972911	+	0.231178i
$530$		−	9.31280i		−	0.404522i
$531$	0.571461	+	4.00867i	0.0247993	+	0.173961i
$532$	0.988797	+	6.87724i	0.0428698	+	0.298166i
$533$	−17.0532	+	7.78793i	−0.738655	+	0.337333i
$534$	2.10622	+	29.6986i	0.0911450	+	1.28519i
$535$	−7.06347	+	15.4668i	−0.305380	+	0.668690i
$536$	9.29179	−	10.7233i	0.401344	−	0.463176i
$537$	15.9021	−	3.44932i	0.686227	−	0.148849i
$538$	18.2001	−	5.34402i	0.784661	−	0.230397i
$539$	−4.30037	−	4.96289i	−0.185230	−	0.213767i
$540$	−1.07000	−	15.3479i	−0.0460453	−	0.660466i
$541$	−29.5003	+	18.9587i	−1.26832	+	0.815097i	−0.989400	−	0.145219i	$-0.953611\pi$
$541$	−29.5003	+	18.9587i	−1.26832	+	0.815097i	−0.278915	+	0.960316i	$0.589975\pi$
$542$	−14.4850	+	12.5513i	−0.622184	+	0.539126i
$543$	−10.1525	−	13.5791i	−0.435686	−	0.582735i
$544$	1.25073	+	0.179828i	0.0536246	+	0.00771005i
$545$	−19.9088	−	17.2511i	−0.852798	−	0.738954i
$546$	0.647563	−	8.97857i	0.0277131	−	0.384247i
$547$	−13.1317	−	3.85582i	−0.561471	−	0.164863i	−0.0113321	−	0.999936i	$-0.503607\pi$
$547$	−13.1317	−	3.85582i	−0.561471	−	0.164863i	−0.550139	+	0.835073i	$0.685425\pi$
$548$	−5.33096	−	11.6732i	−0.227727	−	0.498653i
$549$	−9.52116	+	10.9615i	−0.406353	+	0.467823i
$550$	13.3730	−	20.8088i	0.570227	−	0.887290i
$551$	22.7154			0.967710
$552$	−7.39443	+	3.78449i	−0.314728	+	0.161078i
$553$	−6.33360			−0.269332
$554$	−6.70244	+	10.4292i	−0.284759	+	0.443094i
$555$	−27.0935	+	14.7731i	−1.15006	+	0.627084i
$556$	−0.188526	−	0.412814i	−0.00799528	−	0.0175072i
$557$	−3.85929	−	1.13319i	−0.163523	−	0.0480148i	0.198946	−	0.980010i	$-0.436248\pi$
$557$	−3.85929	−	1.13319i	−0.163523	−	0.0480148i	−0.362470	+	0.931996i	$0.618066\pi$
$558$	13.0346	−	3.81036i	0.551799	−	0.161305i
$559$	30.1109	+	26.0912i	1.27356	+	1.10354i
$560$	−2.93073	−	0.421375i	−0.123846	−	0.0178063i
$561$	−11.5107	+	8.60606i	−0.485983	+	0.363348i
$562$	6.98644	−	6.05379i	0.294705	−	0.255364i
$563$	−17.9662	+	11.5462i	−0.757185	+	0.486613i	−0.861391	−	0.507942i	$-0.830406\pi$
$563$	−17.9662	+	11.5462i	−0.757185	+	0.486613i	0.104206	+	0.994556i	$0.466770\pi$
$564$	−2.95445	−	2.21444i	−0.124405	−	0.0932446i
$565$	39.2827	+	45.3346i	1.65263	+	1.90724i
$566$	9.20974	−	2.70423i	0.387114	−	0.113667i
$567$	2.55627	−	8.62934i	0.107353	−	0.362398i
$568$	−5.52740	+	6.37895i	−0.231924	+	0.267655i
$569$	−14.6291	+	32.0332i	−0.613284	+	1.34290i	0.307022	+	0.951703i	$0.400668\pi$
$569$	−14.6291	+	32.0332i	−0.613284	+	1.34290i	−0.920305	+	0.391201i	$0.872060\pi$
$570$	−35.5424	+	2.52066i	−1.48871	+	0.105579i
$571$	34.2933	−	15.6612i	1.43513	−	0.655401i	0.462257	−	0.886746i	$-0.347040\pi$
$571$	34.2933	−	15.6612i	1.43513	−	0.655401i	0.972872	+	0.231345i	$0.0743125\pi$
$572$	−4.85713	−	33.7821i	−0.203087	−	1.41250i
$573$	−2.08353	−	0.454551i	−0.0870408	−	0.0189891i
$574$			3.60717i			0.150560i
$575$	7.93146	−	16.2302i	0.330765	−	0.676847i
$576$	−2.26960	+	1.96187i	−0.0945666	+	0.0817444i
$577$	−14.1221	−	9.07573i	−0.587911	−	0.377828i	0.212605	−	0.977138i	$-0.431805\pi$
$577$	−14.1221	−	9.07573i	−0.587911	−	0.377828i	−0.800517	+	0.599311i	$0.795441\pi$
$578$	−15.2466	+	2.19212i	−0.634173	+	0.0911803i
$579$	−5.87330	−	5.88034i	−0.244086	−	0.244378i
$580$	−2.72722	+	9.28805i	−0.113241	+	0.385665i
$581$	−9.47937	−	4.32908i	−0.393271	−	0.179601i
$582$	−2.58335	+	6.91360i	−0.107083	+	0.286578i
$583$	2.93947	−	20.4444i	0.121740	−	0.846722i
$584$	−3.35796	−	11.4362i	−0.138953	−	0.473232i
$585$	45.6872	+	6.62467i	1.88893	+	0.273897i
$586$	−16.4709	−	25.6292i	−0.680407	−	1.05873i
$587$	8.67285	+	13.4952i	0.357967	+	0.557007i	0.972799	−	0.231651i	$-0.0744127\pi$
$587$	8.67285	+	13.4952i	0.357967	+	0.557007i	−0.614832	+	0.788658i	$0.710776\pi$
$588$	−1.51969	−	0.830994i	−0.0626709	−	0.0342696i
$589$	−8.86088	−	30.1774i	−0.365106	−	1.24344i
$590$	−0.568744	+	3.95570i	−0.0234148	+	0.162854i
$591$	−17.3717	−	6.49117i	−0.714578	−	0.267011i
$592$	5.47361	+	2.49972i	0.224964	+	0.102738i
$593$	3.06746	−	10.4468i	0.125965	−	0.428999i	−0.872227	−	0.489102i	$-0.837325\pi$
$593$	3.06746	−	10.4468i	0.125965	−	0.428999i	0.998192	+	0.0601029i	$0.0191429\pi$
$594$	2.49538	−	34.0310i	0.102387	−	1.39631i
$595$	−3.70324	+	0.532446i	−0.151818	+	0.0218281i
$596$	7.77491	+	4.99663i	0.318473	+	0.204670i
$597$	14.1184	+	37.9223i	0.577829	+	1.55206i
$598$	−6.39436	−	24.0909i	−0.261485	−	0.985151i
$599$			45.1294i			1.84394i	0.387264	+	0.921969i	$0.373420\pi$
$599$			45.1294i			1.84394i	−0.387264	+	0.921969i	$0.626580\pi$
$600$	1.39062	−	6.37422i	0.0567720	−	0.260227i
$601$	4.82471	+	33.5566i	0.196804	+	1.36880i	0.813484	+	0.581587i	$0.197568\pi$
$601$	4.82471	+	33.5566i	0.196804	+	1.36880i	−0.616680	+	0.787214i	$0.711523\pi$
$602$	6.97330	−	3.18460i	0.284211	−	0.129795i
$603$	17.6365	+	38.7413i	0.718215	+	1.57767i
$604$	7.41625	−	16.2393i	0.301763	−	0.660769i
$605$	62.2859	−	71.8818i	2.53228	−	2.92241i
$606$	1.85920	+	8.57129i	0.0755247	+	0.348185i
$607$	−4.62604	+	1.35833i	−0.187765	+	0.0551328i	−0.374263	−	0.927323i	$-0.622104\pi$
$607$	−4.62604	+	1.35833i	−0.187765	+	0.0551328i	0.186498	+	0.982455i	$0.440286\pi$
$608$	4.54994	+	5.25092i	0.184525	+	0.212953i
$609$	−3.39625	+	4.53120i	−0.137623	+	0.183614i
$610$	−12.0550	+	7.74725i	−0.488091	+	0.313677i
$611$	8.37295	−	7.25520i	0.338733	−	0.293514i
$612$	−2.05326	+	3.18655i	−0.0829983	+	0.128808i
$613$	−27.0100	−	3.88346i	−1.09093	−	0.156851i	−0.426707	−	0.904390i	$-0.640326\pi$
$613$	−27.0100	−	3.88346i	−1.09093	−	0.156851i	−0.664218	+	0.747539i	$0.731235\pi$
$614$	15.6346	+	13.5474i	0.630960	+	0.546730i
$615$	−18.4510	−	1.33074i	−0.744015	−	0.0536607i
$616$	−6.30084	−	1.85009i	−0.253868	−	0.0745424i
$617$	7.46023	+	16.3356i	0.300338	+	0.657648i	0.998287	−	0.0584990i	$-0.0186314\pi$
$617$	7.46023	+	16.3356i	0.300338	+	0.657648i	−0.697950	+	0.716147i	$0.745904\pi$
$618$	6.53946	+	11.9932i	0.263056	+	0.482437i
$619$	−17.6962	+	27.5359i	−0.711271	+	1.10676i	0.277987	+	0.960585i	$0.410333\pi$
$619$	−17.6962	+	27.5359i	−0.711271	+	1.10676i	−0.989259	+	0.146175i	$0.953304\pi$
$620$	13.4030			0.538276
$621$	−1.08239	−	24.8964i	−0.0434347	−	0.999056i
$622$	7.31272			0.293213
$623$	−9.29339	+	14.4608i	−0.372332	+	0.579360i
$624$	−4.30942	−	7.90335i	−0.172515	−	0.316387i
$625$	−12.3152	−	26.9664i	−0.492606	−	1.07866i
$626$	−6.69855	−	1.96687i	−0.267728	−	0.0786120i
$627$	−78.8221	−	5.68490i	−3.14785	−	0.227033i
$628$	6.72183	+	5.82450i	0.268230	+	0.232423i
$629$	7.52613	+	1.08209i	0.300087	+	0.0431459i
$630$	4.81124	−	7.46676i	0.191684	−	0.297483i
$631$	−36.5469	+	31.6680i	−1.45491	+	1.26068i	−0.549941	+	0.835204i	$0.685350\pi$
$631$	−36.5469	+	31.6680i	−1.45491	+	1.26068i	−0.904967	+	0.425481i	$0.860105\pi$
$632$	−5.32816	+	3.42420i	−0.211943	+	0.136207i
$633$	−23.5847	+	31.4661i	−0.937406	+	1.25067i
$634$	−1.82416	−	2.10520i	−0.0724468	−	0.0836081i
$635$	−16.3424	+	4.79855i	−0.648527	+	0.190425i
$636$	−1.15483	−	5.32401i	−0.0457919	−	0.211111i
$637$	3.40347	−	3.92781i	0.134850	−	0.155626i
$638$	−8.91873	+	19.5293i	−0.353096	+	0.773172i
$639$	−10.4914	−	23.0460i	−0.415034	−	0.911686i
$640$	−2.69330	+	1.22999i	−0.106462	+	0.0486195i
$641$	3.17808	+	22.1040i	0.125527	+	0.873056i	0.951127	+	0.308801i	$0.0999277\pi$
$641$	3.17808	+	22.1040i	0.125527	+	0.873056i	−0.825600	+	0.564256i	$0.809163\pi$
$642$	−2.12014	+	9.71810i	−0.0836751	+	0.383543i
$643$		−	34.7172i		−	1.36911i	−0.728960	−	0.684557i	$-0.759996\pi$
$643$		−	34.7172i		−	1.36911i	0.728960	−	0.684557i	$-0.240004\pi$
$644$	−4.72754	−	0.806431i	−0.186291	−	0.0317778i
$645$	13.7169	+	36.8439i	0.540103	+	1.45073i
$646$	7.38568	+	4.74649i	0.290586	+	0.186748i
$647$	3.05071	−	0.438626i	0.119936	−	0.0172442i	−0.0820855	−	0.996625i	$-0.526158\pi$
$647$	3.05071	−	0.438626i	0.119936	−	0.0172442i	0.202021	+	0.979381i	$0.435249\pi$
$648$	−2.51491	−	8.64148i	−0.0987949	−	0.339470i
$649$	−2.49713	+	8.50445i	−0.0980210	+	0.333829i
$650$	17.8075	+	8.13240i	0.698466	+	0.318979i
$651$	7.34450	+	2.74437i	0.287854	+	0.107560i
$652$	1.36101	−	9.46603i	0.0533012	−	0.370718i
$653$	−4.87399	−	16.5993i	−0.190734	−	0.649580i	−0.998217	−	0.0596891i	$-0.980989\pi$
$653$	−4.87399	−	16.5993i	−0.190734	−	0.649580i	0.807483	−	0.589891i	$-0.200829\pi$
$654$	−13.5208	−	7.39343i	−0.528705	−	0.289106i
$655$	6.21805	+	9.67548i	0.242959	+	0.378052i
$656$	1.95018	+	3.03454i	0.0761419	+	0.118479i
$657$	35.3868	+	5.13111i	1.38057	+	0.200184i
$658$	−0.600571	−	2.04536i	−0.0234127	−	0.0797364i
$659$	5.84952	−	40.6843i	0.227865	−	1.58484i	−0.479211	−	0.877700i	$-0.659077\pi$
$659$	5.84952	−	40.6843i	0.227865	−	1.58484i	0.707076	−	0.707137i	$-0.250014\pi$
$660$	11.7879	−	31.5468i	0.458842	−	1.22796i
$661$	37.3542	+	17.0591i	1.45291	+	0.663521i	0.976464	−	0.215683i	$-0.0691976\pi$
$661$	37.3542	+	17.0591i	1.45291	+	0.663521i	0.476446	+	0.879204i	$0.341925\pi$
$662$	−3.91409	+	13.3302i	−0.152126	+	0.518092i
$663$	−8.03832	−	8.04795i	−0.312182	−	0.312556i
$664$	−10.3150	+	1.48308i	−0.400301	+	0.0575546i
$665$	−17.3062	−	11.1220i	−0.671107	−	0.431294i
$666$	−13.6571	+	11.8053i	−0.529201	+	0.457447i
$667$	−4.80931	+	14.9235i	−0.186217	+	0.577842i
$668$			17.4685i			0.675877i
$669$	−20.0515	−	4.37451i	−0.775236	−	0.169128i
$670$	5.97887	+	41.5840i	0.230984	+	1.60653i
$671$	−28.9096	+	13.2026i	−1.11604	+	0.509680i
$672$	−1.72771	+	0.122529i	−0.0666479	+	0.00472665i
$673$	−10.7255	+	23.4855i	−0.413436	+	0.905299i	0.582293	+	0.812979i	$0.302155\pi$
$673$	−10.7255	+	23.4855i	−0.413436	+	0.905299i	−0.995729	+	0.0923198i	$0.970572\pi$
$674$	−9.65270	+	11.1398i	−0.371808	+	0.429089i
$675$	15.6475	+	11.7575i	0.602271	+	0.452545i
$676$	13.4438	−	3.94745i	0.517069	−	0.151825i
$677$	9.60094	+	11.0801i	0.368994	+	0.425842i	0.909633	−	0.415413i	$-0.136363\pi$
$677$	9.60094	+	11.0801i	0.368994	+	0.425842i	−0.540639	+	0.841255i	$0.681817\pi$
$678$	28.0791	+	21.0460i	1.07837	+	0.808266i
$679$	−3.58469	+	2.30374i	−0.137568	+	0.0884093i
$680$	−2.82750	+	2.45005i	−0.108430	+	0.0939550i
$681$	19.9852	−	14.9421i	0.765834	−	0.572581i
$682$	29.4236	+	4.23048i	1.12669	+	0.161993i
$683$	−19.7405	−	17.1052i	−0.755349	−	0.654514i	0.189552	−	0.981871i	$-0.439297\pi$
$683$	−19.7405	−	17.1052i	−0.755349	−	0.654514i	−0.944901	+	0.327357i	$0.893842\pi$
$684$	−20.0066	+	5.84845i	−0.764970	+	0.223621i
$685$	36.4572	+	10.7048i	1.39296	+	0.409010i
$686$	−0.415415	−	0.909632i	−0.0158606	−	0.0347299i
$687$	4.43844	−	2.42012i	0.169337	−	0.0923334i
$688$	4.14459	−	6.44911i	0.158011	−	0.245870i
$689$	16.3469			0.622766
$690$	5.86903	−	23.8843i	0.223430	−	0.909259i
$691$	−2.65111			−0.100853			−0.0504265	−	0.998728i	$-0.516058\pi$
$691$	−2.65111			−0.100853			−0.0504265	+	0.998728i	$0.516058\pi$
$692$	3.55195	−	5.52695i	0.135025	−	0.210103i
$693$	12.9189	−	14.8732i	0.490749	−	0.564987i
$694$	0.974459	+	2.13377i	0.0369899	+	0.0809967i
$695$	1.28929	+	0.378568i	0.0489054	+	0.0143599i
$696$	−0.407355	+	5.64804i	−0.0154407	+	0.214089i
$697$	3.44470	+	2.98485i	0.130477	+	0.113059i
$698$	19.9039	+	2.86174i	0.753372	+	0.108319i
$699$	−7.30878	−	9.77557i	−0.276443	−	0.369746i
$700$	2.84670	−	2.46668i	0.107595	−	0.0932316i
$701$	11.1888	−	7.19062i	0.422596	−	0.271586i	−0.312011	−	0.950078i	$-0.601003\pi$
$701$	11.1888	−	7.19062i	0.422596	−	0.271586i	0.734607	+	0.678492i	$0.237366\pi$
$702$	26.9403	−	1.87818i	1.01680	−	0.0708873i
$703$	27.3788	+	31.5968i	1.03261	+	1.19170i
$704$	−6.30084	+	1.85009i	−0.237472	+	0.0697281i
$705$	10.6837	−	2.31741i	0.402373	−	0.0872786i
$706$	10.6993	−	12.3476i	0.402672	−	0.464708i
$707$	−2.10354	+	4.60612i	−0.0791119	+	0.173231i
$708$	0.165381	+	2.33195i	0.00621540	+	0.0876400i
$709$	−43.4625	+	19.8487i	−1.63227	+	0.745432i	−0.999580	−	0.0289750i	$-0.990776\pi$
$709$	−43.4625	+	19.8487i	−1.63227	+	0.745432i	−0.632688	+	0.774407i	$0.718048\pi$
$710$	−3.55664	−	24.7370i	−0.133478	−	0.928363i
$711$	−2.68157	−	18.8106i	−0.100567	−	0.705453i
$712$			17.1896i			0.644207i
$713$	21.7019	+	0.567753i	0.812743	+	0.0212625i
$714$	−2.05107	+	0.763611i	−0.0767594	+	0.0285774i
$715$	85.0110	+	54.6333i	3.17923	+	2.04317i
$716$	9.29897	−	1.33699i	0.347519	−	0.0499657i
$717$	−20.4519	+	20.4274i	−0.763789	+	0.762875i
$718$	−1.83838	+	6.26094i	−0.0686077	+	0.233656i
$719$	−18.1511	−	8.28933i	−0.676922	−	0.309140i	0.0471268	−	0.998889i	$-0.484994\pi$
$719$	−18.1511	−	8.28933i	−0.676922	−	0.309140i	−0.724048	+	0.689749i	$0.757721\pi$
$720$	0.0106357	−	8.88259i	0.000396367	−	0.331035i
$721$	−1.12240	+	7.80644i	−0.0418003	+	0.290727i
$722$	8.24747	+	28.0883i	0.306939	+	1.04534i
$723$	−8.82425	+	16.1374i	−0.328177	+	0.600157i
$724$	−5.29226	−	8.23492i	−0.196685	−	0.306048i
$725$	−6.65788	−	10.3599i	−0.247268	−	0.384756i
$726$	26.6944	−	48.8176i	0.990722	−	1.81179i
$727$	1.40894	+	4.79841i	0.0522547	+	0.177963i	0.981485	−	0.191537i	$-0.0613472\pi$
$727$	1.40894	+	4.79841i	0.0522547	+	0.177963i	−0.929231	+	0.369500i	$0.879529\pi$
$728$	0.739645	−	5.14434i	0.0274131	−	0.190662i
$729$	26.7112	+	3.93847i	0.989304	+	0.145869i
$730$	32.1013	+	14.6602i	1.18812	+	0.542598i
$731$	2.72908	−	9.29439i	0.100939	−	0.343766i
$732$	−5.93097	+	5.92387i	−0.219215	+	0.218953i
$733$	12.5944	−	1.81080i	0.465183	−	0.0668833i	0.0942617	−	0.995547i	$-0.469951\pi$
$733$	12.5944	−	1.81080i	0.465183	−	0.0668833i	0.370922	+	0.928664i	$0.379042\pi$
$734$	21.1495	+	13.5920i	0.780644	+	0.501689i
$735$	4.80610	−	1.78930i	0.177275	−	0.0659995i
$736$	−4.41305	+	1.87749i	−0.162667	+	0.0692052i
$737$			93.1767i			3.43221i
$738$	−10.7132	+	1.52724i	−0.394358	+	0.0562183i
$739$	−5.89164	−	40.9773i	−0.216727	−	1.50737i	−0.750005	−	0.661432i	$-0.769949\pi$
$739$	−5.89164	−	40.9773i	−0.216727	−	1.50737i	0.533277	−	0.845940i	$-0.320960\pi$
$740$	−16.2066	+	7.40132i	−0.595768	+	0.272078i
$741$	−4.42454	−	62.3880i	−0.162540	−	2.29188i
$742$	1.30660	−	2.86106i	0.0479669	−	0.105033i
$743$	27.6702	−	31.9331i	1.01512	−	1.17151i	0.0300165	−	0.999549i	$-0.490444\pi$
$743$	27.6702	−	31.9331i	1.01512	−	1.17151i	0.985104	−	0.171962i	$-0.0550105\pi$
$744$	7.66231	−	1.66203i	0.280914	−	0.0609329i
$745$	−26.2560	+	7.70946i	−0.961946	+	0.282453i
$746$	−23.1535	−	26.7206i	−0.847710	−	0.978309i
$747$	8.84380	−	29.9864i	0.323578	−	1.09714i
$748$	−6.98056	+	4.48613i	−0.255235	+	0.164029i
$749$	−4.34006	+	3.76068i	−0.158582	+	0.137412i
$750$	−3.78723	−	5.06546i	−0.138290	−	0.184964i
$751$	27.8159	+	3.99933i	1.01502	+	0.145938i	0.629694	−	0.776843i	$-0.283180\pi$
$751$	27.8159	+	3.99933i	1.01502	+	0.145938i	0.385325	+	0.922781i	$0.374089\pi$
$752$	−1.61104	−	1.39597i	−0.0587485	−	0.0509058i
$753$	1.72625	−	23.9347i	0.0629080	−	0.872230i
$754$	−16.3034	−	4.78712i	−0.593736	−	0.174337i
$755$	21.9585	+	48.0824i	0.799152	+	1.74990i
$756$	1.82461	−	4.86526i	0.0663604	−	0.176948i
$757$	9.16268	−	14.2574i	0.333023	−	0.518194i	−0.633848	−	0.773457i	$-0.718526\pi$
$757$	9.16268	−	14.2574i	0.333023	−	0.518194i	0.966872	+	0.255263i	$0.0821621\pi$
$758$	−33.6448			−1.22203
$759$	20.4231	−	50.5808i	0.741311	−	1.83597i
$760$	−20.5720			−0.746223
$761$	12.3483	−	19.2143i	0.447626	−	0.696519i	−0.541969	−	0.840398i	$-0.682321\pi$
$761$	12.3483	−	19.2143i	0.447626	−	0.696519i	0.989595	+	0.143879i	$0.0459575\pi$
$762$	−8.74768	+	4.76980i	−0.316895	+	0.172792i
$763$	−3.69599	−	8.09308i	−0.133804	−	0.292989i
$764$	−1.18135	−	0.346875i	−0.0427397	−	0.0125495i
$765$	−3.14926	−	10.7731i	−0.113862	−	0.389502i
$766$	7.88515	+	6.83252i	0.284902	+	0.246869i
$767$	−6.94349	−	0.998323i	−0.250715	−	0.0360473i
$768$	−1.38720	+	1.03715i	−0.0500562	+	0.0374249i
$769$	−15.2475	+	13.2120i	−0.549839	+	0.476438i	−0.884915	−	0.465753i	$-0.845783\pi$
$769$	−15.2475	+	13.2120i	−0.549839	+	0.476438i	0.335076	+	0.942191i	$0.391238\pi$
$770$	16.3569	−	10.5120i	0.589464	−	0.378825i
$771$	18.1159	+	13.5783i	0.652427	+	0.489010i
$772$	−3.14229	−	3.62639i	−0.113093	−	0.130517i
$773$	18.8142	−	5.52435i	0.676699	−	0.198697i	0.0747153	−	0.997205i	$-0.476195\pi$
$773$	18.8142	−	5.52435i	0.676699	−	0.198697i	0.601984	+	0.798508i	$0.294377\pi$
$774$	12.4106	+	19.3622i	0.446090	+	0.695960i
$775$	−11.1659	+	12.8862i	−0.401092	+	0.462885i
$776$	−1.77013	+	3.87605i	−0.0635441	+	0.139142i
$777$	−10.3963	+	0.737304i	−0.372966	+	0.0264506i
$778$	12.5422	−	5.72783i	0.449660	−	0.205353i
$779$	3.56676	+	24.8074i	0.127792	+	0.888816i
$780$	26.0409	+	5.68117i	0.932413	+	0.203419i
$781$		−	55.4279i		−	1.98337i
$782$	−4.68204	+	3.84731i	−0.167429	+	0.137579i
$783$	−14.8955	−	8.16832i	−0.532321	−	0.291912i
$784$	−0.841254	−	0.540641i	−0.0300448	−	0.0193086i
$785$	−26.0666	+	3.74782i	−0.930358	+	0.133765i
$786$	4.75458	+	4.76028i	0.169590	+	0.169794i
$787$	5.38331	−	18.3339i	0.191894	−	0.653532i	−0.806190	−	0.591657i	$-0.798474\pi$
$787$	5.38331	−	18.3339i	0.191894	−	0.653532i	0.998084	−	0.0618745i	$-0.0197079\pi$
$788$	−9.73933	−	4.44780i	−0.346949	−	0.158446i
$789$	−7.39828	+	19.7993i	−0.263386	+	0.704876i
$790$	2.66882	−	18.5620i	0.0949523	−	0.660408i
$791$	5.70782	+	19.4391i	0.202947	+	0.691174i
$792$	2.82703	−	19.4966i	0.100454	−	0.692783i
$793$	−13.5988	−	21.1602i	−0.482909	−	0.751421i
$794$	−12.5361	−	19.5066i	−0.444890	−	0.692262i
$795$	14.1525	+	7.73887i	0.501939	+	0.274470i
$796$	6.58200	+	22.4162i	0.233293	+	0.794523i
$797$	−5.13236	+	35.6963i	−0.181798	+	1.26443i	0.670712	+	0.741718i	$0.265989\pi$
$797$	−5.13236	+	35.6963i	−0.181798	+	1.26443i	−0.852510	+	0.522712i	$0.824920\pi$
$798$	−11.2729	−	4.21228i	−0.399058	−	0.149113i
$799$	−2.45019	−	1.11896i	−0.0866815	−	0.0395861i
$800$	1.06121	−	3.61414i	0.0375194	−	0.127779i
$801$	−46.8829	−	21.4786i	−1.65653	−	0.758908i
$802$	−10.8678	+	1.56256i	−0.383757	+	0.0551759i
$803$	65.8449	+	42.3160i	2.32362	+	1.49330i
$804$	8.57464	+	23.0316i	0.302404	+	0.812262i
$805$	10.9710	−	9.01506i	0.386678	−	0.317739i
$806$			23.5264i			0.828683i
$807$	−7.00290	+	32.0993i	−0.246514	+	1.12995i
$808$	0.720642	+	5.01218i	0.0253521	+	0.176328i
$809$	11.0753	−	5.05790i	0.389385	−	0.177826i	−0.211096	−	0.977465i	$-0.567703\pi$
$809$	11.0753	−	5.05790i	0.389385	−	0.177826i	0.600481	+	0.799639i	$0.294976\pi$
$810$	24.2131	+	11.1279i	0.850762	+	0.390995i
$811$	−11.8773	+	26.0077i	−0.417069	+	0.913254i	0.578181	+	0.815908i	$0.303763\pi$
$811$	−11.8773	+	26.0077i	−0.417069	+	0.913254i	−0.995251	+	0.0973461i	$0.968965\pi$
$812$	−2.14098	+	2.47082i	−0.0751337	+	0.0867089i
$813$	−7.03715	−	32.4427i	−0.246804	−	1.13782i
$814$	−37.9146	+	11.1327i	−1.32891	+	0.390202i
$815$	18.5429	+	21.3997i	0.649530	+	0.749598i
$816$	−1.31263	+	1.75128i	−0.0459513	+	0.0613071i
$817$	44.8081	−	28.7964i	1.56764	−	1.00746i
$818$	−8.29212	+	7.18517i	−0.289927	+	0.251223i
$819$	13.1065	+	8.44523i	0.457978	+	0.295100i
$820$	−10.5716	−	1.51997i	−0.369177	−	0.0530797i
$821$	−20.8027	−	18.0257i	−0.726020	−	0.629100i	0.211360	−	0.977408i	$-0.432211\pi$
$821$	−20.8027	−	18.0257i	−0.726020	−	0.629100i	−0.937380	+	0.348308i	$0.886756\pi$
$822$	22.1696	+	1.59894i	0.773253	+	0.0557695i
$823$	−0.737746	−	0.216622i	−0.0257162	−	0.00755096i	0.268849	−	0.963182i	$-0.413357\pi$
$823$	−0.737746	−	0.216622i	−0.0257162	−	0.00755096i	−0.294565	+	0.955631i	$0.595175\pi$
$824$	3.27626	+	7.17401i	0.114134	+	0.249919i
$825$	20.5100	+	37.6148i	0.714066	+	1.30958i
$826$	−0.729720	+	1.13547i	−0.0253902	+	0.0395080i
$827$	−40.1585			−1.39645			−0.698225	−	0.715879i	$-0.746026\pi$
$827$	−40.1585			−1.39645			−0.698225	+	0.715879i	$0.746026\pi$
$828$	0.393489	−	14.3821i	0.0136747	−	0.499813i
$829$	31.1332			1.08130			0.540650	−	0.841247i	$-0.318178\pi$
$829$	31.1332			1.08130			0.540650	+	0.841247i	$0.318178\pi$
$830$	16.6817	−	25.9573i	0.579031	−	0.900990i
$831$	−10.2794	−	18.8522i	−0.356590	−	0.653976i
$832$	−2.15901	−	4.72758i	−0.0748503	−	0.163899i
$833$	−1.21241	−	0.355995i	−0.0420074	−	0.0123345i
$834$	0.784012	+	0.0565455i	0.0271481	+	0.00195801i
$835$	−39.0888	−	33.8706i	−1.35272	−	1.17214i
$836$	−45.1618	−	6.49328i	−1.56195	−	0.224575i
$837$	−5.04112	+	22.9749i	−0.174247	+	0.794129i
$838$	16.9839	−	14.7166i	0.586697	−	0.508376i
$839$	−9.71943	+	6.24630i	−0.335552	+	0.215646i	−0.697556	−	0.716530i	$-0.745729\pi$
$839$	−9.71943	+	6.24630i	−0.335552	+	0.215646i	0.362004	+	0.932177i	$0.382093\pi$
$840$	3.07577	−	4.10363i	0.106124	−	0.141589i
$841$	−11.9913	−	13.8387i	−0.413493	−	0.477197i
$842$	28.2414	−	8.29243i	0.973264	−	0.285776i
$843$	3.39418	+	15.6479i	0.116902	+	0.538941i
$844$	−14.8677	+	17.1582i	−0.511766	+	0.590609i
$845$	−17.2338	+	37.7367i	−0.592860	+	1.29818i
$846$	5.82038	−	2.64966i	0.200109	−	0.0910973i
$847$	29.2205	−	13.3446i	1.00403	−	0.458525i
$848$	−0.447622	−	3.11328i	−0.0153714	−	0.106911i
$849$	−3.54366	+	16.2431i	−0.121618	+	0.557463i
$850$		−	4.75959i		−	0.163253i
$851$	−26.5551	+	11.2976i	−0.910296	+	0.387277i
$852$	−5.10079	−	13.7008i	−0.174750	−	0.469381i
$853$	29.3303	+	18.8494i	1.00425	+	0.645392i	0.935899	−	0.352269i	$-0.114590\pi$
$853$	29.3303	+	18.8494i	1.00425	+	0.645392i	0.0683514	+	0.997661i	$0.478226\pi$
$854$	−4.79046	+	0.688764i	−0.163926	+	0.0235690i
$855$	25.7049	−	56.1080i	0.879089	−	1.91885i
$856$	−1.61791	+	5.51010i	−0.0552990	+	0.188331i
$857$	−21.5107	−	9.82362i	−0.734792	−	0.335568i	0.0126276	−	0.999920i	$-0.495980\pi$
$857$	−21.5107	−	9.82362i	−0.734792	−	0.335568i	−0.747420	+	0.664352i	$0.768708\pi$
$858$	55.3745	+	20.6914i	1.89045	+	0.706392i
$859$	−5.05077	+	35.1289i	−0.172330	+	1.19858i	0.701614	+	0.712557i	$0.252463\pi$
$859$	−5.05077	+	35.1289i	−0.172330	+	1.19858i	−0.873945	+	0.486026i	$0.838446\pi$
$860$	6.39482	+	21.7788i	0.218062	+	0.742649i
$861$	−5.48177	−	2.99754i	−0.186818	−	0.102156i
$862$	18.6791	+	29.0652i	0.636212	+	0.989966i
$863$	−2.67392	−	4.16069i	−0.0910211	−	0.141632i	0.792757	−	0.609538i	$-0.208645\pi$
$863$	−2.67392	−	4.16069i	−0.0910211	−	0.141632i	−0.883778	+	0.467906i	$0.845009\pi$
$864$	−1.09540	−	5.07938i	−0.0372663	−	0.172804i
$865$	5.48042	+	18.6646i	0.186340	+	0.634615i
$866$	3.15143	−	21.9187i	0.107090	−	0.744828i
$867$	9.33845	−	24.9916i	0.317150	−	0.848760i
$868$	4.11764	+	1.88046i	0.139762	+	0.0638271i
$869$	11.7178	−	39.9070i	0.397497	−	1.35375i
$870$	−11.8486	−	11.8628i	−0.401706	−	0.402187i
$871$	−72.9929	+	10.4948i	−2.47327	+	0.355602i
$872$	−7.48471	−	4.81013i	−0.253464	−	0.162892i
$873$	−8.35975	−	9.67104i	−0.282935	−	0.327315i
$874$	−33.3098	−	0.871432i	−1.12672	−	0.0294766i
$875$		−	3.65157i		−	0.123446i
$876$	20.1698	+	4.40033i	0.681476	+	0.148673i
$877$	1.05040	+	7.30572i	0.0354696	+	0.246696i	0.999841	−	0.0178573i	$-0.00568444\pi$
$877$	1.05040	+	7.30572i	0.0354696	+	0.246696i	−0.964371	+	0.264554i	$0.914775\pi$
$878$	26.2797	−	12.0016i	0.886898	−	0.405033i
$879$	52.6357	−	3.73290i	1.77536	−	0.125908i
$880$	8.07714	−	17.6865i	0.272280	−	0.596211i
$881$	−19.2310	+	22.1937i	−0.647908	+	0.747726i	−0.980752	−	0.195256i	$-0.937446\pi$
$881$	−19.2310	+	22.1937i	−0.647908	+	0.747726i	0.332844	+	0.942982i	$0.391992\pi$
$882$	2.52570	−	1.61890i	0.0850448	−	0.0545112i
$883$	19.2542	−	5.65353i	0.647954	−	0.190257i	0.0587908	−	0.998270i	$-0.481276\pi$
$883$	19.2542	−	5.65353i	0.647954	−	0.190257i	0.589164	+	0.808014i	$0.299457\pi$
$884$	−4.30060	−	4.96315i	−0.144645	−	0.166929i
$885$	−5.53880	−	4.15147i	−0.186185	−	0.139550i
$886$	12.2406	−	7.86658i	0.411232	−	0.264283i
$887$	−30.3916	+	26.3344i	−1.02045	+	0.884224i	−0.993318	−	0.115408i	$-0.963183\pi$
$887$	−30.3916	+	26.3344i	−1.02045	+	0.884224i	−0.0271310	+	0.999632i	$0.508637\pi$
$888$	−8.34732	+	6.24093i	−0.280118	+	0.209432i
$889$	−5.69392	−	0.818662i	−0.190968	−	0.0274570i
$890$	−38.4647	−	33.3298i	−1.28934	−	1.11722i
$891$	49.6428	+	32.0717i	1.66310	+	1.07444i
$892$	−11.3691	−	3.33826i	−0.380664	−	0.111773i
$893$	−6.15272	−	13.4726i	−0.205893	−	0.450842i
$894$	−14.0542	+	7.66327i	−0.470043	+	0.256298i
$895$	−15.0385	+	23.4004i	−0.502683	+	0.782189i
$896$	−1.00000			−0.0334077
$897$	41.9244	+	10.3020i	1.39981	+	0.343973i
$898$	14.7709			0.492913
$899$	8.00121	−	12.4501i	0.266855	−	0.415235i
$900$	8.53123	+	7.41025i	0.284374	+	0.247008i
$901$	−1.65101	−	3.61521i	−0.0550032	−	0.120440i
$902$	−22.7282	−	6.67361i	−0.756767	−	0.222207i
$903$	−0.955172	+	13.2436i	−0.0317861	+	0.440720i
$904$	15.3113	+	13.2673i	0.509246	+	0.441264i
$905$	28.6885	+	4.12478i	0.953638	+	0.137112i
$906$	18.5158	+	24.7652i	0.615147	+	0.822767i
$907$	42.2305	−	36.5929i	1.40224	−	1.21505i	0.456667	−	0.889638i	$-0.349043\pi$
$907$	42.2305	−	36.5929i	1.40224	−	1.21505i	0.945573	−	0.325411i	$-0.105502\pi$
$908$	12.1198	−	7.78893i	0.402210	−	0.258485i
$909$	−14.5707	−	4.29729i	−0.483279	−	0.142532i
$910$	10.0772	+	11.6297i	0.334056	+	0.385522i
$911$	0.0752977	−	0.0221094i	0.00249472	−	0.000732517i	−0.280485	−	0.959858i	$-0.590495\pi$
$911$	0.0752977	−	0.0221094i	0.00249472	−	0.000732517i	0.282980	+	0.959126i	$0.408677\pi$
$912$	−11.7607	+	2.55102i	−0.389436	+	0.0844726i
$913$	44.8146	−	51.7188i	1.48315	−	1.71164i
$914$	−9.26787	+	20.2938i	−0.306554	+	0.671260i
$915$	−1.75581	−	24.7577i	−0.0580452	−	0.818463i
$916$	2.65496	−	1.21248i	0.0877223	−	0.0400614i
$917$	0.552812	+	3.84489i	0.0182555	+	0.126969i
$918$	−3.13630	−	5.76832i	−0.103513	−	0.190383i
$919$		−	46.4507i		−	1.53227i	−0.642681	−	0.766134i	$-0.722178\pi$
$919$		−	46.4507i		−	1.53227i	0.642681	−	0.766134i	$-0.277822\pi$
$920$	4.35550	−	13.5153i	0.143596	−	0.445587i
$921$	−33.5801	+	12.5018i	−1.10650	+	0.411950i
$922$	31.3916	+	20.1741i	1.03383	+	0.664400i
$923$	43.4212	−	6.24302i	1.42923	−	0.205492i
$924$	8.04752	−	8.03789i	0.264744	−	0.264427i
$925$	6.38570	−	21.7477i	0.209961	−	0.715060i
$926$	13.7183	+	6.26496i	0.450813	+	0.205879i
$927$	−23.6601	−	0.0283297i	−0.777101	−	0.000930469i
$928$	−0.465280	+	3.23609i	−0.0152736	+	0.106230i
$929$	−2.97900	−	10.1455i	−0.0977377	−	0.332864i	0.896079	−	0.443894i	$-0.146403\pi$
$929$	−2.97900	−	10.1455i	−0.0977377	−	0.332864i	−0.993817	+	0.111030i	$0.964585\pi$
$930$	−11.1378	+	20.3683i	−0.365222	+	0.667904i
$931$	−3.75635	−	5.84499i	−0.123109	−	0.191562i
$932$	−3.80989	−	5.92830i	−0.124797	−	0.194188i
$933$	−6.07683	+	11.1131i	−0.198946	+	0.363825i
$934$	−0.828286	−	2.82088i	−0.0271024	−	0.0923021i
$935$	3.49649	−	24.3186i	0.114347	−	0.795304i
$936$	15.5917	+	0.0186689i	0.509631	+	0.000610212i
$937$	46.4881	+	21.2304i	1.51870	+	0.693567i	0.988066	−	0.154034i	$-0.0492266\pi$
$937$	46.4881	+	21.2304i	1.51870	+	0.693567i	0.530634	+	0.847601i	$0.321954\pi$
$938$	−3.99749	+	13.6142i	−0.130523	+	0.444519i
$939$	8.55548	−	8.54525i	0.279198	−	0.278864i
$940$	6.24745	−	0.898248i	0.203769	−	0.0292976i
$941$	−28.7638	−	18.4854i	−0.937673	−	0.602606i	−0.0199391	−	0.999801i	$-0.506347\pi$
$941$	−28.7638	−	18.4854i	−0.937673	−	0.602606i	−0.917734	+	0.397195i	$0.869984\pi$
$942$	−14.4372	+	5.37496i	−0.470390	+	0.175126i
$943$	−17.0531	−	2.90893i	−0.555324	−	0.0947279i
$944$			1.34973i			0.0439301i
$945$	7.34903	+	13.5164i	0.239064	+	0.439689i
$946$	7.16440	+	49.8295i	0.232935	+	1.62010i
$947$	−23.1806	+	10.5862i	−0.753268	+	0.344006i	−0.754767	−	0.655993i	$-0.772250\pi$
$947$	−23.1806	+	10.5862i	−0.753268	+	0.344006i	0.00149890	+	0.999999i	$0.499523\pi$
$948$	−0.776048	−	10.9426i	−0.0252049	−	0.355400i
$949$	−25.7332	+	56.3479i	−0.835335	+	1.82913i
$950$	17.1384	−	19.7787i	0.556042	−	0.641707i
$951$	4.71511	−	1.02275i	0.152898	−	0.0331651i
$952$	−1.21241	+	0.355995i	−0.0392943	+	0.0115379i
$953$	18.1679	+	20.9669i	0.588518	+	0.679185i	0.969414	−	0.245432i	$-0.0789299\pi$
$953$	18.1679	+	20.9669i	0.588518	+	0.679185i	−0.380896	+	0.924618i	$0.624384\pi$
$954$	9.05048	+	2.66924i	0.293020	+	0.0864197i
$955$	3.06677	−	1.97090i	0.0992385	−	0.0637767i
$956$	−12.6126	+	10.9289i	−0.407922	+	0.353466i
$957$	−22.2670	−	29.7824i	−0.719790	−	0.962728i
$958$	−0.873100	−	0.125533i	−0.0282086	−	0.00405578i
$959$	9.69843	+	8.40374i	0.313179	+	0.271371i
$960$	0.368916	−	5.11508i	0.0119067	−	0.165089i
$961$	10.0832	+	2.96070i	0.325265	+	0.0955064i
$962$	−12.9916	−	28.4477i	−0.418867	−	0.917191i
$963$	−13.0066	−	11.2976i	−0.419133	−	0.364061i
$964$	−5.74102	+	8.93320i	−0.184906	+	0.287719i
$965$	14.2074			0.457353
$966$	5.15408	−	6.51425i	0.165830	−	0.209593i
$967$	−18.5938			−0.597938			−0.298969	−	0.954263i	$-0.596643\pi$
$967$	−18.5938			−0.597938			−0.298969	+	0.954263i	$0.596643\pi$
$968$	17.3673	−	27.0240i	0.558205	−	0.868584i
$969$	−13.3506	+	7.27963i	−0.428884	+	0.233855i
$970$	−5.24113	−	11.4765i	−0.168283	−	0.368487i
$971$	7.25636	+	2.13066i	0.232868	+	0.0683761i	0.396084	−	0.918214i	$-0.370369\pi$
$971$	7.25636	+	2.13066i	0.232868	+	0.0683761i	−0.163217	+	0.986590i	$0.552187\pi$
$972$	15.2222	+	3.35915i	0.488253	+	0.107745i
$973$	0.342978	+	0.297192i	0.0109954	+	0.00952755i
$974$	11.4750	+	1.64985i	0.367682	+	0.0528647i
$975$	−27.1566	+	20.3038i	−0.869707	+	0.650242i
$976$	−3.65761	+	3.16934i	−0.117077	+	0.101448i
$977$	6.11168	−	3.92774i	0.195530	−	0.125660i	−0.439213	−	0.898383i	$-0.644743\pi$
$977$	6.11168	−	3.92774i	0.195530	−	0.125660i	0.634743	+	0.772724i	$0.281106\pi$
$978$	13.2544	+	9.93451i	0.423829	+	0.317671i
$979$	−73.9216	−	85.3100i	−2.36254	−	2.72652i
$980$	2.84093	−	0.834172i	0.0907501	−	0.0266466i
$981$	22.4714	−	14.4035i	0.717456	−	0.459868i
$982$	0.452058	−	0.521702i	0.0144257	−	0.0166482i
$983$	−14.0939	+	30.8613i	−0.449526	+	0.984324i	0.540225	+	0.841520i	$0.318339\pi$
$983$	−14.0939	+	30.8613i	−0.449526	+	0.984324i	−0.989751	+	0.142804i	$0.954388\pi$
$984$	−6.23215	+	0.441982i	−0.198674	+	0.0140899i
$985$	28.8368	−	13.1693i	0.918818	−	0.419610i
$986$	0.587923	+	4.08910i	0.0187233	+	0.130223i
$987$	3.60738	+	0.786999i	0.114824	+	0.0250504i
$988$		−	36.1102i		−	1.14882i
$989$	9.43185	+	35.5347i	0.299915	+	1.12994i
$990$	38.1456	+	44.1291i	1.21235	+	1.40251i
$991$	27.2870	+	17.5363i	0.866801	+	0.557059i	0.896773	−	0.442491i	$-0.145905\pi$
$991$	27.2870	+	17.5363i	0.866801	+	0.557059i	−0.0299714	+	0.999551i	$0.509542\pi$
$992$	4.48063	−	0.644218i	0.142260	−	0.0204539i
$993$	−17.0051	−	17.0255i	−0.539641	−	0.540288i
$994$	2.37798	−	8.09866i	0.0754250	−	0.256874i
$995$	−62.9224	−	28.7357i	−1.99477	−	0.910983i
$996$	6.31791	−	16.9081i	0.200191	−	0.535752i
$997$	2.52549	−	17.5652i	0.0799832	−	0.556295i	−0.909945	−	0.414728i	$-0.863877\pi$
$997$	2.52549	−	17.5652i	0.0799832	−	0.556295i	0.989929	−	0.141567i	$-0.0452142\pi$
$998$	1.17382	+	3.99767i	0.0371567	+	0.126544i
$999$	−6.59146	−	30.5646i	−0.208544	−	0.967022i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.r.b.113.4	yes	240
3.2	odd	2		966.2.r.a.113.19	✓	240
23.11	odd	22		966.2.r.a.701.19	yes	240
69.11	even	22	inner	966.2.r.b.701.4	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.r.a.113.19	✓	240	3.2	odd	2
966.2.r.a.701.19	yes	240	23.11	odd	22
966.2.r.b.113.4	yes	240	1.1	even	1	trivial
966.2.r.b.701.4	yes	240	69.11	even	22	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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.r (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.540641 + 0.841254i) q^{2} +(-0.829173 - 1.52068i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(2.84093 + 0.834172i) q^{5} +(1.72756 + 0.124597i) q^{6} +(0.755750 + 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-1.62494 + 2.52182i) q^{9} +O(q^{10})\)	\(q+(-0.540641 + 0.841254i) q^{2} +(-0.829173 - 1.52068i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(2.84093 + 0.834172i) q^{5} +(1.72756 + 0.124597i) q^{6} +(0.755750 + 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-1.62494 + 2.52182i) q^{9} +(-2.23767 + 1.93895i) q^{10} +(-5.52438 + 3.55030i) q^{11} +(-1.03881 + 1.38596i) q^{12} +(-3.40347 - 3.92781i) q^{13} +(-0.959493 + 0.281733i) q^{14} +(-1.08711 - 5.01182i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-0.524915 + 1.14940i) q^{17} +(-1.24298 - 2.73039i) q^{18} +(-6.32008 + 2.88629i) q^{19} +(-0.421375 - 2.93073i) q^{20} +(0.369187 - 1.69225i) q^{21} -6.56685i q^{22} +(-0.558138 - 4.76324i) q^{23} +(-0.604318 - 1.62321i) q^{24} +(3.16877 + 2.03644i) q^{25} +(5.14434 - 0.739645i) q^{26} +(5.18224 + 0.379997i) q^{27} +(0.281733 - 0.959493i) q^{28} +(-2.97392 - 1.35815i) q^{29} +(4.80395 + 1.79506i) q^{30} +(-0.644218 + 4.48063i) q^{31} +(-0.281733 - 0.959493i) q^{32} +(9.97955 + 5.45701i) q^{33} +(-0.683149 - 1.06300i) q^{34} +(1.60076 + 2.49084i) q^{35} +(2.96895 + 0.430500i) q^{36} +(-1.69530 - 5.77365i) q^{37} +(0.988797 - 6.87724i) q^{38} +(-3.15089 + 8.43243i) q^{39} +(2.69330 + 1.22999i) q^{40} +(1.01626 - 3.46105i) q^{41} +(1.22401 + 1.22548i) q^{42} +(-7.58804 + 1.09100i) q^{43} +(5.52438 + 3.55030i) q^{44} +(-6.71998 + 5.80882i) q^{45} +(4.30885 + 2.10567i) q^{46} +2.13171i q^{47} +(1.69225 + 0.369187i) q^{48} +(0.142315 + 0.989821i) q^{49} +(-3.42633 + 1.56475i) q^{50} +(2.18312 - 0.154826i) q^{51} +(-2.15901 + 4.72758i) q^{52} +(-2.05973 + 2.37706i) q^{53} +(-3.12140 + 4.15413i) q^{54} +(-18.6559 + 5.47788i) q^{55} +(0.654861 + 0.755750i) q^{56} +(9.62957 + 7.21760i) q^{57} +(2.75037 - 1.76755i) q^{58} +(1.02006 - 0.883887i) q^{59} +(-4.10731 + 3.07086i) q^{60} +(4.79046 + 0.688764i) q^{61} +(-3.42106 - 2.96436i) q^{62} +(-2.87949 + 0.841750i) q^{63} +(0.959493 + 0.281733i) q^{64} +(-6.39255 - 13.9977i) q^{65} +(-9.98608 + 5.44505i) q^{66} +(7.67113 - 11.9365i) q^{67} +1.26359 q^{68} +(-6.78058 + 4.79830i) q^{69} -2.96086 q^{70} +(-4.56331 + 7.10066i) q^{71} +(-1.96730 + 2.26489i) q^{72} +(-4.95132 - 10.8419i) q^{73} +(5.77365 + 1.69530i) q^{74} +(0.469323 - 6.50725i) q^{75} +(5.25092 + 4.54994i) q^{76} +(-6.50000 - 0.934560i) q^{77} +(-5.39032 - 7.20961i) q^{78} +(-4.78661 + 4.14762i) q^{79} +(-2.49084 + 1.60076i) q^{80} +(-3.71912 - 8.19562i) q^{81} +(2.36219 + 2.72612i) q^{82} +(-9.99898 + 2.93596i) q^{83} +(-1.69269 + 0.367161i) q^{84} +(-2.45005 + 2.82750i) q^{85} +(3.18460 - 6.97330i) q^{86} +(0.400592 + 5.64853i) q^{87} +(-5.97341 + 2.72797i) q^{88} +(2.44633 + 17.0146i) q^{89} +(-1.25360 - 8.79369i) q^{90} -5.19724i q^{91} +(-4.10094 + 2.48642i) q^{92} +(7.34778 - 2.73557i) q^{93} +(-1.79331 - 1.15249i) q^{94} +(-20.3626 + 2.92770i) q^{95} +(-1.22548 + 1.22401i) q^{96} +(-1.20050 + 4.08852i) q^{97} +(-0.909632 - 0.415415i) q^{98} +(0.0235886 - 19.7005i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9}+O(q^{10}) \) 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9	\( 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9} + 4 q^{12} - 8 q^{13} - 24 q^{14} + 26 q^{15} - 24 q^{16} - 32 q^{17} + 40 q^{18} - 4 q^{20} + 8 q^{23} + 12 q^{25} + 116 q^{27} + 4 q^{30} + 16 q^{31} + 2 q^{33} - 4 q^{36} + 22 q^{37} + 8 q^{39} - 154 q^{41} - 4 q^{42} + 22 q^{43} - 24 q^{45} + 4 q^{46} - 4 q^{48} + 24 q^{49} - 88 q^{50} - 24 q^{51} + 8 q^{52} + 108 q^{53} + 12 q^{54} - 16 q^{55} + 24 q^{56} - 70 q^{57} - 4 q^{58} - 22 q^{59} - 26 q^{60} + 4 q^{63} + 24 q^{64} - 76 q^{66} - 44 q^{67} + 32 q^{68} - 86 q^{69} + 4 q^{70} + 4 q^{72} - 12 q^{73} + 16 q^{74} - 26 q^{75} - 78 q^{78} + 4 q^{80} - 168 q^{81} + 8 q^{82} - 16 q^{83} - 28 q^{85} - 16 q^{86} + 156 q^{87} - 24 q^{89} - 126 q^{90} - 8 q^{92} - 16 q^{93} - 8 q^{94} + 132 q^{97} - 172 q^{99}+O(q^{100}) \) 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9 + 4 * q^12 - 8 * q^13 - 24 * q^14 + 26 * q^15 - 24 * q^16 - 32 * q^17 + 40 * q^18 - 4 * q^20 + 8 * q^23 + 12 * q^25 + 116 * q^27 + 4 * q^30 + 16 * q^31 + 2 * q^33 - 4 * q^36 + 22 * q^37 + 8 * q^39 - 154 * q^41 - 4 * q^42 + 22 * q^43 - 24 * q^45 + 4 * q^46 - 4 * q^48 + 24 * q^49 - 88 * q^50 - 24 * q^51 + 8 * q^52 + 108 * q^53 + 12 * q^54 - 16 * q^55 + 24 * q^56 - 70 * q^57 - 4 * q^58 - 22 * q^59 - 26 * q^60 + 4 * q^63 + 24 * q^64 - 76 * q^66 - 44 * q^67 + 32 * q^68 - 86 * q^69 + 4 * q^70 + 4 * q^72 - 12 * q^73 + 16 * q^74 - 26 * q^75 - 78 * q^78 + 4 * q^80 - 168 * q^81 + 8 * q^82 - 16 * q^83 - 28 * q^85 - 16 * q^86 + 156 * q^87 - 24 * q^89 - 126 * q^90 - 8 * q^92 - 16 * q^93 - 8 * q^94 + 132 * q^97 - 172 * q^99

Introduction

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