LMFDB - Embedded newform 160.2.z.a.29.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [160,2,Mod(29,160)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(160, base_ring=CyclotomicField(8))

chi = DirichletCharacter(H, H._module([0, 3, 4]))

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

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

chi := DirichletCharacter("160.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 160 = 2^{5} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	160.z (of order $8$, degree $4$, 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:	$1.27760643234$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$22$ over $\Q(\zeta_{8})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label			29.11
Character	$\chi$	$=$	160.29
Dual form			160.2.z.a.149.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.258628 + 1.39036i) q^{2} +(-0.644653 + 1.55633i) q^{3} +(-1.86622 - 0.719173i) q^{4} +(-2.20768 + 0.355198i) q^{5} +(-1.99714 - 1.29881i) q^{6} +(-1.63067 - 1.63067i) q^{7} +(1.48257 - 2.40873i) q^{8} +(0.114733 + 0.114733i) q^{9} +O(q^{10})$	\(q+(-0.258628 + 1.39036i) q^{2} +(-0.644653 + 1.55633i) q^{3} +(-1.86622 - 0.719173i) q^{4} +(-2.20768 + 0.355198i) q^{5} +(-1.99714 - 1.29881i) q^{6} +(-1.63067 - 1.63067i) q^{7} +(1.48257 - 2.40873i) q^{8} +(0.114733 + 0.114733i) q^{9} +(0.0771112 - 3.16134i) q^{10} +(-3.87098 + 1.60341i) q^{11} +(2.32234 - 2.44084i) q^{12} +(4.51047 + 1.86830i) q^{13} +(2.68895 - 1.84548i) q^{14} +(0.870379 - 3.66485i) q^{15} +(2.96558 + 2.68428i) q^{16} -6.42294 q^{17} +(-0.189193 + 0.129847i) q^{18} +(-1.94073 + 4.68534i) q^{19} +(4.37547 + 0.924822i) q^{20} +(3.58907 - 1.48664i) q^{21} +(-1.22818 - 5.79676i) q^{22} +(-0.334942 + 0.334942i) q^{23} +(2.79304 + 3.86017i) q^{24} +(4.74767 - 1.56833i) q^{25} +(-3.76414 + 5.78800i) q^{26} +(-4.92152 + 2.03856i) q^{27} +(1.87045 + 4.21592i) q^{28} +(0.0167307 + 0.00693007i) q^{29} +(4.87038 + 2.15798i) q^{30} -2.90323 q^{31} +(-4.49910 + 3.42901i) q^{32} -7.05817i q^{33} +(1.66115 - 8.93022i) q^{34} +(4.17919 + 3.02077i) q^{35} +(-0.131604 - 0.296629i) q^{36} +(1.82735 - 0.756915i) q^{37} +(-6.01240 - 3.91008i) q^{38} +(-5.81537 + 5.81537i) q^{39} +(-2.41746 + 5.84431i) q^{40} +(7.32266 + 7.32266i) q^{41} +(1.13874 + 5.37460i) q^{42} +(2.70367 + 6.52725i) q^{43} +(8.37725 - 0.208420i) q^{44} +(-0.294045 - 0.212540i) q^{45} +(-0.379066 - 0.552316i) q^{46} +7.88236 q^{47} +(-6.08939 + 2.88500i) q^{48} -1.68186i q^{49} +(0.952666 + 7.00660i) q^{50} +(4.14057 - 9.99622i) q^{51} +(-7.07391 - 6.73046i) q^{52} +(0.468548 + 1.13118i) q^{53} +(-1.56150 - 7.36993i) q^{54} +(7.97634 - 4.91478i) q^{55} +(-6.34541 + 1.51026i) q^{56} +(-6.04084 - 6.04084i) q^{57} +(-0.0139623 + 0.0214694i) q^{58} +(1.07460 + 2.59431i) q^{59} +(-4.25999 + 6.21348i) q^{60} +(-2.10510 - 0.871960i) q^{61} +(0.750856 - 4.03655i) q^{62} -0.374181i q^{63} +(-3.60397 - 7.14222i) q^{64} +(-10.6213 - 2.52248i) q^{65} +(9.81343 + 1.82544i) q^{66} +(2.17665 - 5.25490i) q^{67} +(11.9866 + 4.61921i) q^{68} +(-0.305359 - 0.737202i) q^{69} +(-5.28082 + 5.02934i) q^{70} +(-3.41624 + 3.41624i) q^{71} +(0.446459 - 0.106261i) q^{72} +(3.36857 - 3.36857i) q^{73} +(0.579782 + 2.73645i) q^{74} +(-0.619765 + 8.39997i) q^{75} +(6.99141 - 7.34817i) q^{76} +(8.92690 + 3.69764i) q^{77} +(-6.58147 - 9.58950i) q^{78} -12.2333i q^{79} +(-7.50049 - 4.87264i) q^{80} -8.48690i q^{81} +(-12.0750 + 8.28731i) q^{82} +(-4.72373 - 1.95663i) q^{83} +(-7.76715 + 0.193241i) q^{84} +(14.1798 - 2.28142i) q^{85} +(-9.77450 + 2.07096i) q^{86} +(-0.0215710 + 0.0215710i) q^{87} +(-1.87681 + 11.7013i) q^{88} +(-11.1957 + 11.1957i) q^{89} +(0.371556 - 0.353861i) q^{90} +(-4.30849 - 10.4016i) q^{91} +(0.865958 - 0.384195i) q^{92} +(1.87158 - 4.51839i) q^{93} +(-2.03860 + 10.9593i) q^{94} +(2.62028 - 11.0331i) q^{95} +(-2.43631 - 9.21261i) q^{96} +11.3974i q^{97} +(2.33840 + 0.434976i) q^{98} +(-0.628091 - 0.260164i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 8 q^{4} - 4 q^{5} - 8 q^{6} - 8 q^{9}+O(q^{10}) $ 88 * q - 8 * q^4 - 4 * q^5 - 8 * q^6 - 8 * q^9	$ 88 q - 8 q^{4} - 4 q^{5} - 8 q^{6} - 8 q^{9} - 4 q^{10} - 8 q^{11} - 24 q^{14} - 8 q^{16} - 8 q^{19} - 4 q^{20} - 8 q^{21} - 16 q^{24} - 4 q^{25} + 32 q^{26} - 8 q^{29} - 52 q^{30} - 64 q^{31} - 24 q^{34} + 20 q^{35} + 72 q^{36} - 8 q^{39} - 56 q^{40} - 8 q^{41} - 8 q^{44} - 16 q^{45} - 8 q^{46} - 44 q^{50} - 48 q^{51} + 24 q^{54} + 28 q^{55} - 56 q^{56} + 24 q^{59} + 32 q^{60} + 24 q^{61} + 64 q^{64} - 8 q^{65} - 8 q^{66} - 40 q^{69} + 80 q^{70} - 40 q^{71} + 128 q^{74} + 28 q^{75} - 8 q^{76} + 48 q^{80} + 200 q^{84} - 24 q^{85} + 24 q^{86} - 8 q^{89} + 80 q^{90} - 8 q^{91} + 120 q^{94} - 8 q^{95} - 56 q^{96} - 48 q^{99}+O(q^{100}) $ 88 * q - 8 * q^4 - 4 * q^5 - 8 * q^6 - 8 * q^9 - 4 * q^10 - 8 * q^11 - 24 * q^14 - 8 * q^16 - 8 * q^19 - 4 * q^20 - 8 * q^21 - 16 * q^24 - 4 * q^25 + 32 * q^26 - 8 * q^29 - 52 * q^30 - 64 * q^31 - 24 * q^34 + 20 * q^35 + 72 * q^36 - 8 * q^39 - 56 * q^40 - 8 * q^41 - 8 * q^44 - 16 * q^45 - 8 * q^46 - 44 * q^50 - 48 * q^51 + 24 * q^54 + 28 * q^55 - 56 * q^56 + 24 * q^59 + 32 * q^60 + 24 * q^61 + 64 * q^64 - 8 * q^65 - 8 * q^66 - 40 * q^69 + 80 * q^70 - 40 * q^71 + 128 * q^74 + 28 * q^75 - 8 * q^76 + 48 * q^80 + 200 * q^84 - 24 * q^85 + 24 * q^86 - 8 * q^89 + 80 * q^90 - 8 * q^91 + 120 * q^94 - 8 * q^95 - 56 * q^96 - 48 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/160\mathbb{Z}\right)^\times$.

$n$	$31$	$97$	$101$
$\chi(n)$	$1$	$-1$	$e\left(\frac{3}{8}\right)$

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 $

$2$	−0.258628	+	1.39036i	−0.182877	+	0.983136i
$2$	−0.258628	+	1.39036i	−0.182877	+	0.983136i
$3$	−0.644653	+	1.55633i	−0.372191	+	0.898548i	0.621188	+	0.783662i	$0.286650\pi$
$3$	−0.644653	+	1.55633i	−0.372191	+	0.898548i	−0.993379	+	0.114886i	$0.963350\pi$
$4$	−1.86622	−	0.719173i	−0.933112	−	0.359587i
$5$	−2.20768	+	0.355198i	−0.987303	+	0.158850i
$5$	−2.20768	+	0.355198i	−0.987303	+	0.158850i
$6$	−1.99714	−	1.29881i	−0.815329	−	0.530238i
$7$	−1.63067	−	1.63067i	−0.616333	−	0.616333i	0.328256	−	0.944589i	$-0.393539\pi$
$7$	−1.63067	−	1.63067i	−0.616333	−	0.616333i	−0.944589	+	0.328256i	$0.893539\pi$
$8$	1.48257	−	2.40873i	0.524168	−	0.851615i
$9$	0.114733	+	0.114733i	0.0382442	+	0.0382442i
$10$	0.0771112	−	3.16134i	0.0243847	−	0.999703i
$11$	−3.87098	+	1.60341i	−1.16714	+	0.483447i	−0.880248	−	0.474514i	$-0.842624\pi$
$11$	−3.87098	+	1.60341i	−1.16714	+	0.483447i	−0.286897	+	0.957961i	$0.592624\pi$
$12$	2.32234	−	2.44084i	0.670401	−	0.704611i
$13$	4.51047	+	1.86830i	1.25098	+	0.518172i	0.907129	−	0.420853i	$-0.138269\pi$
$13$	4.51047	+	1.86830i	1.25098	+	0.518172i	0.343849	+	0.939025i	$0.388269\pi$
$14$	2.68895	−	1.84548i	0.718653	−	0.493226i
$15$	0.870379	−	3.66485i	0.224731	−	0.946261i
$16$	2.96558	+	2.68428i	0.741395	+	0.671069i
$17$	−6.42294			−1.55779			−0.778896	−	0.627153i	$-0.784220\pi$
$17$	−6.42294			−1.55779			−0.778896	+	0.627153i	$0.784220\pi$
$18$	−0.189193	+	0.129847i	−0.0445932	+	0.0306052i
$19$	−1.94073	+	4.68534i	−0.445234	+	1.07489i	0.528852	+	0.848714i	$0.322623\pi$
$19$	−1.94073	+	4.68534i	−0.445234	+	1.07489i	−0.974086	+	0.226177i	$0.927377\pi$
$20$	4.37547	+	0.924822i	0.978384	+	0.206797i
$21$	3.58907	−	1.48664i	0.783199	−	0.324412i
$22$	−1.22818	−	5.79676i	−0.261850	−	1.23587i
$23$	−0.334942	+	0.334942i	−0.0698402	+	0.0698402i	−0.741164	−	0.671324i	$-0.765726\pi$
$23$	−0.334942	+	0.334942i	−0.0698402	+	0.0698402i	0.671324	+	0.741164i	$0.265726\pi$
$24$	2.79304	+	3.86017i	0.570127	+	0.787953i
$25$	4.74767	−	1.56833i	0.949534	−	0.313665i
$26$	−3.76414	+	5.78800i	−0.738209	+	1.13512i
$27$	−4.92152	+	2.03856i	−0.947146	+	0.392321i
$28$	1.87045	+	4.21592i	0.353483	+	0.796733i
$29$	0.0167307	+	0.00693007i	0.00310681	+	0.00128688i	0.384236	−	0.923235i	$-0.374465\pi$
$29$	0.0167307	+	0.00693007i	0.00310681	+	0.00128688i	−0.381129	+	0.924522i	$0.624465\pi$
$30$	4.87038	+	2.15798i	0.889205	+	0.393991i
$31$	−2.90323			−0.521436			−0.260718	−	0.965415i	$-0.583959\pi$
$31$	−2.90323			−0.521436			−0.260718	+	0.965415i	$0.583959\pi$
$32$	−4.49910	+	3.42901i	−0.795336	+	0.606168i
$33$		−	7.05817i		−	1.22867i
$34$	1.66115	−	8.93022i	0.284885	−	1.53152i
$35$	4.17919	+	3.02077i	0.706412	+	0.510603i
$36$	−0.131604	−	0.296629i	−0.0219340	−	0.0494382i
$37$	1.82735	−	0.756915i	0.300415	−	0.124436i	−0.227384	−	0.973805i	$-0.573017\pi$
$37$	1.82735	−	0.756915i	0.300415	−	0.124436i	0.527799	+	0.849369i	$0.323017\pi$
$38$	−6.01240	−	3.91008i	−0.975340	−	0.634299i
$39$	−5.81537	+	5.81537i	−0.931205	+	0.931205i
$40$	−2.41746	+	5.84431i	−0.382233	+	0.924066i
$41$	7.32266	+	7.32266i	1.14361	+	1.14361i	0.987785	+	0.155821i	$0.0498024\pi$
$41$	7.32266	+	7.32266i	1.14361	+	1.14361i	0.155821	+	0.987785i	$0.450198\pi$
$42$	1.13874	+	5.37460i	0.175711	+	0.829318i
$43$	2.70367	+	6.52725i	0.412307	+	0.995396i	0.984517	+	0.175289i	$0.0560861\pi$
$43$	2.70367	+	6.52725i	0.412307	+	0.995396i	−0.572210	+	0.820107i	$0.693914\pi$
$44$	8.37725	−	0.208420i	1.26292	−	0.0314205i
$45$	−0.294045	−	0.212540i	−0.0438337	−	0.0316835i
$46$	−0.379066	−	0.552316i	−0.0558902	−	0.0814346i
$47$	7.88236			1.14976			0.574880	−	0.818238i	$-0.305049\pi$
$47$	7.88236			1.14976			0.574880	+	0.818238i	$0.305049\pi$
$48$	−6.08939	+	2.88500i	−0.878928	+	0.416413i
$49$		−	1.68186i		−	0.240266i
$50$	0.952666	+	7.00660i	0.134727	+	0.990883i
$51$	4.14057	−	9.99622i	0.579796	−	1.39975i
$52$	−7.07391	−	6.73046i	−0.980975	−	0.933348i
$53$	0.468548	+	1.13118i	0.0643601	+	0.155379i	0.952787	−	0.303639i	$-0.0982015\pi$
$53$	0.468548	+	1.13118i	0.0643601	+	0.155379i	−0.888427	+	0.459018i	$0.848202\pi$
$54$	−1.56150	−	7.36993i	−0.212493	−	1.00292i
$55$	7.97634	−	4.91478i	1.07553	−	0.662709i
$56$	−6.34541	+	1.51026i	−0.847941	+	0.201817i
$57$	−6.04084	−	6.04084i	−0.800129	−	0.800129i
$58$	−0.0139623	+	0.0214694i	−0.00183334	+	0.00281907i
$59$	1.07460	+	2.59431i	0.139901	+	0.337751i	0.978265	−	0.207361i	$-0.0664873\pi$
$59$	1.07460	+	2.59431i	0.139901	+	0.337751i	−0.838364	+	0.545111i	$0.816487\pi$
$60$	−4.25999	+	6.21348i	−0.549962	+	0.802157i
$61$	−2.10510	−	0.871960i	−0.269530	−	0.111643i	0.243825	−	0.969819i	$-0.421598\pi$
$61$	−2.10510	−	0.871960i	−0.269530	−	0.111643i	−0.513355	+	0.858176i	$0.671598\pi$
$62$	0.750856	−	4.03655i	0.0953588	−	0.512642i
$63$		−	0.374181i		−	0.0471423i
$64$	−3.60397	−	7.14222i	−0.450497	−	0.892778i
$65$	−10.6213	−	2.52248i	−1.31741	−	0.312875i
$66$	9.81343	+	1.82544i	1.20795	+	0.224696i
$67$	2.17665	−	5.25490i	0.265920	−	0.641988i	−0.733363	−	0.679837i	$-0.762051\pi$
$67$	2.17665	−	5.25490i	0.265920	−	0.641988i	0.999283	+	0.0378488i	$0.0120505\pi$
$68$	11.9866	+	4.61921i	1.45359	+	0.560161i
$69$	−0.305359	−	0.737202i	−0.0367609	−	0.0887487i
$70$	−5.28082	+	5.02934i	−0.631179	+	0.601121i
$71$	−3.41624	+	3.41624i	−0.405433	+	0.405433i	−0.880143	−	0.474709i	$-0.842553\pi$
$71$	−3.41624	+	3.41624i	−0.405433	+	0.405433i	0.474709	+	0.880143i	$0.342553\pi$
$72$	0.446459	−	0.106261i	0.0526157	−	0.0125230i
$73$	3.36857	−	3.36857i	0.394261	−	0.394261i	−0.481942	−	0.876203i	$-0.660068\pi$
$73$	3.36857	−	3.36857i	0.394261	−	0.394261i	0.876203	+	0.481942i	$0.160068\pi$
$74$	0.579782	+	2.73645i	0.0673983	+	0.318105i
$75$	−0.619765	+	8.39997i	−0.0715643	+	0.969945i
$76$	6.99141	−	7.34817i	0.801970	−	0.842893i
$77$	8.92690	+	3.69764i	1.01732	+	0.421386i
$78$	−6.58147	−	9.58950i	−0.745205	−	1.08580i
$79$		−	12.2333i		−	1.37636i	−0.725542	−	0.688178i	$-0.758411\pi$
$79$		−	12.2333i		−	1.37636i	0.725542	−	0.688178i	$-0.241589\pi$
$80$	−7.50049	−	4.87264i	−0.838580	−	0.544778i
$81$		−	8.48690i		−	0.942989i
$82$	−12.0750	+	8.28731i	−1.33346	+	0.915181i
$83$	−4.72373	−	1.95663i	−0.518496	−	0.214768i	0.108060	−	0.994144i	$-0.465536\pi$
$83$	−4.72373	−	1.95663i	−0.518496	−	0.214768i	−0.626556	+	0.779376i	$0.715536\pi$
$84$	−7.76715	+	0.193241i	−0.847466	+	0.0210844i
$85$	14.1798	−	2.28142i	1.53801	−	0.247455i
$86$	−9.77450	+	2.07096i	−1.05401	+	0.223318i
$87$	−0.0215710	+	0.0215710i	−0.00231265	+	0.00231265i
$88$	−1.87681	+	11.7013i	−0.200069	+	1.24737i
$89$	−11.1957	+	11.1957i	−1.18674	+	1.18674i	−0.208779	+	0.977963i	$0.566949\pi$
$89$	−11.1957	+	11.1957i	−1.18674	+	1.18674i	−0.977963	+	0.208779i	$0.933051\pi$
$90$	0.371556	−	0.353861i	0.0391654	−	0.0373002i
$91$	−4.30849	−	10.4016i	−0.451653	−	1.09039i
$92$	0.865958	−	0.384195i	0.0902823	−	0.0400551i
$93$	1.87158	−	4.51839i	0.194074	−	0.468535i
$94$	−2.03860	+	10.9593i	−0.210265	+	1.13037i
$95$	2.62028	−	11.0331i	0.268835	−	1.13197i
$96$	−2.43631	−	9.21261i	−0.248655	−	0.940258i
$97$			11.3974i			1.15723i	0.815602	+	0.578613i	$0.196406\pi$
$97$			11.3974i			1.15723i	−0.815602	+	0.578613i	$0.803594\pi$
$98$	2.33840	+	0.434976i	0.236214	+	0.0439393i
$99$	−0.628091	−	0.260164i	−0.0631256	−	0.0261475i
$100$	−9.98811	−	0.487549i	−0.998811	−	0.0487549i
$101$	−3.80187	−	9.17851i	−0.378300	−	0.913296i	−0.992285	−	0.123979i	$-0.960435\pi$
$101$	−3.80187	−	9.17851i	−0.378300	−	0.913296i	0.613985	−	0.789318i	$-0.289565\pi$
$102$	12.8275	+	8.34220i	1.27011	+	0.826001i
$103$	−0.342424	−	0.342424i	−0.0337400	−	0.0337400i	0.690036	−	0.723776i	$-0.257595\pi$
$103$	−0.342424	−	0.342424i	−0.0337400	−	0.0337400i	−0.723776	+	0.690036i	$0.757595\pi$
$104$	11.1873	−	8.09462i	1.09701	−	0.793743i
$105$	−7.39545	+	4.55685i	−0.721722	+	0.444703i
$106$	−1.69393	+	0.358899i	−0.164529	+	0.0348594i
$107$	−3.57024	−	8.61932i	−0.345148	−	0.833261i	−0.997178	−	0.0750684i	$-0.976082\pi$
$107$	−3.57024	−	8.61932i	−0.345148	−	0.833261i	0.652030	−	0.758193i	$-0.273918\pi$
$108$	10.6507	−	0.264983i	1.02487	−	0.0254980i
$109$	−5.95472	+	14.3760i	−0.570359	+	1.37697i	0.330891	+	0.943669i	$0.392651\pi$
$109$	−5.95472	+	14.3760i	−0.570359	+	1.37697i	−0.901250	+	0.433300i	$0.857349\pi$
$110$	4.77043	+	12.3611i	0.454843	+	1.17859i
$111$			3.33191i			0.316251i
$112$	−0.458711	−	9.21302i	−0.0433441	−	0.870549i
$113$	4.10920			0.386561			0.193280	−	0.981144i	$-0.438087\pi$
$113$	4.10920			0.386561			0.193280	+	0.981144i	$0.438087\pi$
$114$	9.96129	−	6.83664i	0.932961	−	0.640310i
$115$	0.620472	−	0.858414i	0.0578593	−	0.0800475i
$116$	−0.0262392	−	0.0249653i	−0.00243625	−	0.00231797i
$117$	0.303143	+	0.731852i	0.0280256	+	0.0676597i
$118$	−3.88496	+	0.823124i	−0.357640	+	0.0757747i
$119$	10.4737	+	10.4737i	0.960119	+	0.960119i
$120$	−7.53725	−	7.52991i	−0.688054	−	0.687384i
$121$	4.63539	−	4.63539i	0.421399	−	0.421399i
$122$	1.75678	−	2.70134i	0.159051	−	0.244568i
$123$	−16.1170	+	6.67590i	−1.45323	+	0.601946i
$124$	5.41808	+	2.08793i	0.486558	+	0.187501i
$125$	−9.92425	+	5.14872i	−0.887652	+	0.460516i
$126$	0.520247	+	0.0967735i	0.0463473	+	0.00862127i
$127$			2.38554i			0.211683i	0.994383	+	0.105841i	$0.0337536\pi$
$127$			2.38554i			0.211683i	−0.994383	+	0.105841i	$0.966246\pi$
$128$	10.8624	−	3.16366i	0.960108	−	0.279630i
$129$	−11.9015			−1.04787
$130$	6.25412	−	14.1150i	0.548523	−	1.23797i
$131$	19.8070	+	8.20435i	1.73055	+	0.716817i	0.999401	+	0.0345987i	$0.0110153\pi$
$131$	19.8070	+	8.20435i	1.73055	+	0.716817i	0.731148	+	0.682218i	$0.238985\pi$
$132$	−5.07605	+	13.1721i	−0.441814	+	1.14649i
$133$	10.8049	−	4.47554i	0.936904	−	0.388078i
$134$	6.74328	+	4.38540i	0.582531	+	0.378841i
$135$	10.1410	−	6.24859i	0.872800	−	0.537793i
$136$	−9.52246	+	15.4711i	−0.816544	+	1.32664i
$137$	1.47956	−	1.47956i	0.126408	−	0.126408i	−0.641073	−	0.767480i	$-0.721510\pi$
$137$	1.47956	−	1.47956i	0.126408	−	0.126408i	0.767480	+	0.641073i	$0.221510\pi$
$138$	1.10395	−	0.233899i	0.0939747	−	0.0199108i
$139$	−2.17257	+	0.899908i	−0.184275	+	0.0763292i	−0.472913	−	0.881109i	$-0.656798\pi$
$139$	−2.17257	+	0.899908i	−0.184275	+	0.0763292i	0.288638	+	0.957438i	$0.406798\pi$
$140$	−5.62684	−	8.64299i	−0.475555	−	0.730466i
$141$	−5.08139	+	12.2676i	−0.427930	+	1.03311i
$142$	−3.86628	−	5.63335i	−0.324451	−	0.472741i
$143$	−20.4556			−1.71058
$144$	0.0322746	+	0.648222i	0.00268955	+	0.0540185i
$145$	−0.0393974	−	0.00935664i	−0.00327178	−	0.000777027i
$146$	3.81233	+	5.55474i	0.315511	+	0.459714i
$147$	2.61754	+	1.08422i	0.215891	+	0.0894249i
$148$	−3.95460	+	0.0983878i	−0.325066	+	0.00808743i
$149$	8.81625	−	3.65181i	0.722255	−	0.299168i	0.00889019	−	0.999960i	$-0.497170\pi$
$149$	8.81625	−	3.65181i	0.722255	−	0.299168i	0.713365	+	0.700793i	$0.247170\pi$
$150$	−11.5187	−	3.03416i	−0.940500	−	0.247738i
$151$	2.82632	+	2.82632i	0.230002	+	0.230002i	0.812694	−	0.582691i	$-0.198000\pi$
$151$	2.82632	+	2.82632i	0.230002	+	0.230002i	−0.582691	+	0.812694i	$0.698000\pi$
$152$	8.40845	+	11.6210i	0.682016	+	0.942591i
$153$	−0.736920	−	0.736920i	−0.0595765	−	0.0595765i
$154$	−7.44982	+	11.4553i	−0.600323	+	0.923097i
$155$	6.40939	−	1.03122i	0.514815	−	0.0828298i
$156$	15.0350	−	6.67052i	1.20377	−	0.534069i
$157$	−1.30693	+	3.15520i	−0.104304	+	0.251813i	−0.967412	−	0.253207i	$-0.918515\pi$
$157$	−1.30693	+	3.15520i	−0.104304	+	0.251813i	0.863108	+	0.505020i	$0.168515\pi$
$158$	17.0088	+	3.16388i	1.35315	+	0.251705i
$159$	−2.06254			−0.163570
$160$	8.71458	−	9.16821i	0.688948	−	0.724811i
$161$	1.09236			0.0860897
$162$	11.7999	+	2.19495i	0.927086	+	0.172451i
$163$	−4.47775	+	10.8103i	−0.350725	+	0.846724i	0.645806	+	0.763501i	$0.276521\pi$
$163$	−4.47775	+	10.8103i	−0.350725	+	0.846724i	−0.996531	+	0.0832231i	$0.973479\pi$
$164$	−8.39945	−	18.9320i	−0.655887	−	1.47834i
$165$	2.50705	+	15.5822i	0.195174	+	1.21307i
$166$	3.94212	−	6.06166i	0.305968	−	0.470476i
$167$	10.1296	+	10.1296i	0.783849	+	0.783849i	0.980478	−	0.196629i	$-0.0629993\pi$
$167$	10.1296	+	10.1296i	0.783849	+	0.783849i	−0.196629	+	0.980478i	$0.562999\pi$
$168$	1.74013	−	10.8491i	0.134254	−	0.837030i
$169$	7.66138	+	7.66138i	0.589337	+	0.589337i
$170$	−0.495281	+	20.3051i	−0.0379863	+	1.55733i
$171$	−0.760226	+	0.314896i	−0.0581359	+	0.0240807i
$172$	−0.351438	−	14.1257i	−0.0267969	−	1.07708i
$173$	−14.3495	−	5.94376i	−1.09097	−	0.451896i	−0.236627	−	0.971601i	$-0.576042\pi$
$173$	−14.3495	−	5.94376i	−1.09097	−	0.451896i	−0.854346	+	0.519705i	$0.826042\pi$
$174$	−0.0244126	−	0.0355703i	−0.00185072	−	0.00269658i
$175$	−10.2993	−	5.18444i	−0.778552	−	0.391907i
$176$	−15.7837	−	5.63574i	−1.18974	−	0.424810i
$177$	−4.73036			−0.355555
$178$	−12.6706	−	18.4616i	−0.949700	−	1.38376i
$179$	0.757594	−	1.82899i	0.0566252	−	0.136705i	−0.893035	−	0.449987i	$-0.851428\pi$
$179$	0.757594	−	1.82899i	0.0566252	−	0.136705i	0.949660	+	0.313282i	$0.101428\pi$
$180$	0.395901	+	0.608116i	0.0295087	+	0.0453263i
$181$	−17.6006	+	7.29042i	−1.30824	+	0.541893i	−0.924372	−	0.381493i	$-0.875410\pi$
$181$	−17.6006	+	7.29042i	−1.30824	+	0.541893i	−0.383873	+	0.923386i	$0.625410\pi$
$182$	15.5763	−	3.30023i	1.15460	−	0.244629i
$183$	2.71412	−	2.71412i	0.200633	−	0.200633i
$184$	0.310210	+	1.30336i	0.0228690	+	0.0960849i
$185$	−3.76535	+	2.32010i	−0.276834	+	0.170577i
$186$	5.79816	+	3.77075i	0.425142	+	0.276485i
$187$	24.8631	−	10.2986i	1.81817	−	0.753110i
$188$	−14.7102	−	5.66878i	−1.07285	−	0.413438i
$189$	11.3496	+	4.70114i	0.825558	+	0.341958i
$190$	14.6623	+	6.49660i	1.06371	+	0.471313i
$191$	13.3590			0.966623			0.483311	−	0.875449i	$-0.339434\pi$
$191$	13.3590			0.966623			0.483311	+	0.875449i	$0.339434\pi$
$192$	13.4390	−	1.00472i	0.969875	−	0.0725092i
$193$			5.90552i			0.425088i	0.977151	+	0.212544i	$0.0681749\pi$
$193$			5.90552i			0.425088i	−0.977151	+	0.212544i	$0.931825\pi$
$194$	−15.8465	−	2.94767i	−1.13771	−	0.211631i
$195$	10.7729	−	14.9041i	0.771460	−	1.06730i
$196$	−1.20955	+	3.13873i	−0.0863965	+	0.224195i
$197$	−12.6246	+	5.22928i	−0.899466	+	0.372571i	−0.784015	−	0.620742i	$-0.786831\pi$
$197$	−12.6246	+	5.22928i	−0.899466	+	0.372571i	−0.115451	+	0.993313i	$0.536831\pi$
$198$	0.524164	−	0.805990i	0.0372507	−	0.0572792i
$199$	−0.351304	+	0.351304i	−0.0249033	+	0.0249033i	−0.719449	−	0.694546i	$-0.755605\pi$
$199$	−0.351304	+	0.351304i	−0.0249033	+	0.0249033i	0.694546	+	0.719449i	$0.255605\pi$
$200$	3.26107	−	13.7610i	0.230593	−	0.973050i
$201$	6.77518	+	6.77518i	0.477884	+	0.477884i
$202$	13.7447	−	2.91216i	0.967077	−	0.204899i
$203$	−0.0159815	−	0.0385827i	−0.00112168	−	0.00270798i
$204$	−14.9162	+	15.6774i	−1.04435	+	1.09764i
$205$	−18.7670	−	13.5651i	−1.31075	−	0.947425i
$206$	0.564654	−	0.387533i	0.0393413	−	0.0270007i
$207$	−0.0768575			−0.00534196
$208$	8.36112	+	17.6479i	0.579739	+	1.22366i
$209$		−	21.2487i		−	1.46980i
$210$	−4.42302	−	11.4609i	−0.305217	−	0.790877i
$211$	3.60329	−	8.69911i	0.248061	−	0.598871i	−0.749979	−	0.661462i	$-0.769936\pi$
$211$	3.60329	−	8.69911i	0.248061	−	0.598871i	0.998039	+	0.0625906i	$0.0199363\pi$
$212$	−0.0609044	−	2.44799i	−0.00418293	−	0.168129i
$213$	−3.11451	−	7.51909i	−0.213403	−	0.515200i
$214$	12.9074	−	2.73474i	0.882329	−	0.186943i
$215$	−8.28731	−	13.4497i	−0.565190	−	0.917263i
$216$	−2.38615	+	14.8769i	−0.162357	+	1.01225i
$217$	4.73420	+	4.73420i	0.321378	+	0.321378i
$218$	−18.4478	−	11.9973i	−1.24944	−	0.812557i
$219$	3.07105	+	7.41417i	0.207522	+	0.501003i
$220$	−18.4202	+	3.43571i	−1.24189	+	0.231636i
$221$	−28.9705	−	12.0000i	−1.94876	−	0.807204i
$222$	−4.63257	−	0.861726i	−0.310918	−	0.0578352i
$223$			11.9409i			0.799624i	0.916597	+	0.399812i	$0.130925\pi$
$223$			11.9409i			0.799624i	−0.916597	+	0.399812i	$0.869075\pi$
$224$	12.9281	+	1.74497i	0.863794	+	0.116591i
$225$	0.724650	+	0.364774i	0.0483100	+	0.0243183i
$226$	−1.06275	+	5.71328i	−0.0706933	+	0.380042i
$227$	−7.79601	+	18.8212i	−0.517439	+	1.24921i	0.422032	+	0.906581i	$0.361317\pi$
$227$	−7.79601	+	18.8212i	−0.517439	+	1.24921i	−0.939471	+	0.342628i	$0.888683\pi$
$228$	6.92914	+	15.6180i	0.458894	+	1.03433i
$229$	−9.85364	−	23.7888i	−0.651147	−	1.57201i	−0.811116	−	0.584885i	$-0.801139\pi$
$229$	−9.85364	−	23.7888i	−0.651147	−	1.57201i	0.159969	−	0.987122i	$-0.448861\pi$
$230$	1.03304	+	1.08469i	0.0681164	+	0.0715225i
$231$	−11.5095	+	11.5095i	−0.757271	+	0.757271i
$232$	0.0414971	−	0.0300254i	0.00272442	−	0.00197126i
$233$	9.12774	−	9.12774i	0.597978	−	0.597978i	−0.341796	−	0.939774i	$-0.611035\pi$
$233$	9.12774	−	9.12774i	0.597978	−	0.597978i	0.939774	+	0.341796i	$0.111035\pi$
$234$	−1.09594	+	0.232202i	−0.0716439	+	0.0151795i
$235$	−17.4017	+	2.79980i	−1.13516	+	0.182639i
$236$	−0.139682	−	5.61439i	−0.00909254	−	0.365466i
$237$	19.0391	+	7.88625i	1.23672	+	0.512267i
$238$	−17.2710	+	11.8534i	−1.11951	+	0.768343i
$239$		−	29.4396i		−	1.90429i	−0.305646	−	0.952145i	$-0.598872\pi$
$239$		−	29.4396i		−	1.90429i	0.305646	−	0.952145i	$-0.401128\pi$
$240$	12.4187	−	8.53208i	0.801621	−	0.550743i
$241$			22.2718i			1.43465i	0.696736	+	0.717327i	$0.254635\pi$
$241$			22.2718i			1.43465i	−0.696736	+	0.717327i	$0.745365\pi$
$242$	5.24604	+	7.64372i	0.337228	+	0.491357i
$243$	−1.55612	−	0.644567i	−0.0998252	−	0.0413490i
$244$	3.30149	+	3.14120i	0.211356	+	0.201095i
$245$	0.597395	+	3.71301i	0.0381662	+	0.237215i
$246$	−5.11361	−	24.1351i	−0.326032	−	1.53880i
$247$	−17.5072	+	17.5072i	−1.11396	+	1.11396i
$248$	−4.30424	+	6.99310i	−0.273320	+	0.444062i
$249$	6.09033	−	6.09033i	0.385959	−	0.385959i
$250$	−4.59191	−	15.1299i	−0.290418	−	0.956900i
$251$	−4.90250	−	11.8357i	−0.309443	−	0.747062i	−0.999723	−	0.0235199i	$-0.992513\pi$
$251$	−4.90250	−	11.8357i	−0.309443	−	0.747062i	0.690280	−	0.723542i	$-0.257487\pi$
$252$	−0.269101	+	0.698305i	−0.0169518	+	0.0439891i
$253$	0.759504	−	1.83360i	0.0477496	−	0.115278i
$254$	−3.31677	−	0.616967i	−0.208113	−	0.0387120i
$255$	−5.59039	+	23.5391i	−0.350084	+	1.47408i
$256$	1.58932	+	15.9209i	0.0993326	+	0.995054i
$257$			15.0789i			0.940594i	0.882508	+	0.470297i	$0.155853\pi$
$257$			15.0789i			0.940594i	−0.882508	+	0.470297i	$0.844147\pi$
$258$	3.07806	−	16.5474i	0.191631	−	1.03020i
$259$	−4.21408	−	1.74553i	−0.261850	−	0.108462i
$260$	18.0075	+	12.3460i	1.11678	+	0.765669i
$261$	0.00112445	+	0.00271466i	6.96016e−5	+	0.000168033i
$262$	−16.5297	+	25.4171i	−1.02121	+	1.57028i
$263$	4.97968	+	4.97968i	0.307060	+	0.307060i	0.843768	−	0.536708i	$-0.180332\pi$
$263$	4.97968	+	4.97968i	0.307060	+	0.307060i	−0.536708	+	0.843768i	$0.680332\pi$
$264$	−17.0012	−	10.4642i	−1.04635	−	0.644029i
$265$	−1.43620	−	2.33084i	−0.0882248	−	0.143183i
$266$	3.42818	+	16.1802i	0.210195	+	0.992074i
$267$	−10.2069	−	24.6416i	−0.624650	−	1.50804i
$268$	−7.84130	+	8.24143i	−0.478984	+	0.503425i
$269$	0.353030	−	0.852290i	0.0215246	−	0.0519650i	−0.912752	−	0.408515i	$-0.866047\pi$
$269$	0.353030	−	0.852290i	0.0215246	−	0.0519650i	0.934276	+	0.356550i	$0.116047\pi$
$270$	6.06507	+	15.7158i	0.369108	+	0.956431i
$271$			25.8374i			1.56951i	0.619805	+	0.784756i	$0.287212\pi$
$271$			25.8374i			1.56951i	−0.619805	+	0.784756i	$0.712788\pi$
$272$	−19.0477	−	17.2409i	−1.15494	−	1.04539i
$273$	18.9659			1.14787
$274$	1.67447	+	2.43979i	0.101159	+	0.147393i
$275$	−15.8635	+	13.6834i	−0.956603	+	0.825142i
$276$	0.0396922	+	1.59539i	0.00238919	+	0.0960311i
$277$	−12.6057	−	30.4330i	−0.757406	−	1.82854i	−0.511611	−	0.859217i	$-0.670951\pi$
$277$	−12.6057	−	30.4330i	−0.757406	−	1.82854i	−0.245795	−	0.969322i	$-0.579049\pi$
$278$	−0.689313	−	3.25340i	−0.0413422	−	0.195126i
$279$	−0.333095	−	0.333095i	−0.0199419	−	0.0199419i
$280$	13.4722	−	5.58804i	0.805116	−	0.333949i
$281$	9.06158	−	9.06158i	0.540569	−	0.540569i	−0.383127	−	0.923696i	$-0.625153\pi$
$281$	9.06158	−	9.06158i	0.540569	−	0.540569i	0.923696	+	0.383127i	$0.125153\pi$
$282$	−15.7422	−	10.2377i	−0.937433	−	0.609647i
$283$	20.7360	−	8.58915i	1.23263	−	0.510572i	0.331226	−	0.943551i	$-0.392538\pi$
$283$	20.7360	−	8.58915i	1.23263	−	0.510572i	0.901404	+	0.432979i	$0.142538\pi$
$284$	8.83234	−	3.91860i	0.524103	−	0.232526i
$285$	15.4819	+	11.1905i	0.917069	+	0.662869i
$286$	5.29038	−	28.4407i	0.312827	−	1.68173i
$287$		−	23.8816i		−	1.40969i
$288$	−0.909612	−	0.122775i	−0.0535994	−	0.00723458i
$289$	24.2542			1.42671
$290$	0.0231984	−	0.0523569i	0.00136226	−	0.00307450i
$291$	−17.7381	−	7.34735i	−1.03982	−	0.430709i
$292$	−8.70909	+	3.86392i	−0.509661	+	0.226119i
$293$	2.67512	−	1.10807i	0.156282	−	0.0647341i	−0.303171	−	0.952936i	$-0.598045\pi$
$293$	2.67512	−	1.10807i	0.156282	−	0.0647341i	0.459453	+	0.888202i	$0.348045\pi$
$294$	−2.18443	+	3.35892i	−0.127398	+	0.195896i
$295$	−3.29387	−	5.34571i	−0.191776	−	0.311239i
$296$	0.885975	−	5.52378i	0.0514963	−	0.321063i
$297$	15.7825	−	15.7825i	0.915791	−	0.915791i
$298$	2.79722	+	13.2023i	0.162039	+	0.764786i
$299$	−2.13651	+	0.884973i	−0.123558	+	0.0511793i
$300$	7.19765	−	15.2305i	0.415557	−	0.879333i
$301$	6.23497	−	15.0525i	0.359378	−	0.867614i
$302$	−4.66057	+	3.19865i	−0.268186	+	0.184061i
$303$	16.7357			0.961440
$304$	−18.3321	+	8.68529i	−1.05142	+	0.498135i
$305$	4.95710	+	1.17728i	0.283842	+	0.0674108i
$306$	1.21518	−	0.833999i	0.0694670	−	0.0476766i
$307$	26.8196	+	11.1090i	1.53067	+	0.634026i	0.979695	−	0.200493i	$-0.0642545\pi$
$307$	26.8196	+	11.1090i	1.53067	+	0.634026i	0.550979	+	0.834519i	$0.314254\pi$
$308$	−14.0004	−	13.3206i	−0.797744	−	0.759013i
$309$	0.753669	−	0.312180i	0.0428747	−	0.0177593i
$310$	−0.223872	+	9.17809i	−0.0127151	+	0.521281i
$311$	14.7463	+	14.7463i	0.836187	+	0.836187i	0.988355	−	0.152167i	$-0.0486252\pi$
$311$	14.7463	+	14.7463i	0.836187	+	0.836187i	−0.152167	+	0.988355i	$0.548625\pi$
$312$	5.38598	+	22.6294i	0.304921	+	1.28114i
$313$	15.8547	+	15.8547i	0.896159	+	0.896159i	0.995094	−	0.0989345i	$-0.0315434\pi$
$313$	15.8547	+	15.8547i	0.896159	+	0.896159i	−0.0989345	+	0.995094i	$0.531543\pi$
$314$	−4.04887	−	2.63313i	−0.228491	−	0.148596i
$315$	0.132908	+	0.826070i	0.00748854	+	0.0465438i
$316$	−8.79788	+	22.8301i	−0.494919	+	1.28429i
$317$	0.707005	−	1.70686i	0.0397094	−	0.0958669i	−0.902781	−	0.430101i	$-0.858478\pi$
$317$	0.707005	−	1.70686i	0.0397094	−	0.0958669i	0.942490	+	0.334235i	$0.108478\pi$
$318$	0.533429	−	2.86768i	0.0299132	−	0.160811i
$319$	−0.0758759			−0.00424823
$320$	10.4933	+	14.4876i	0.586594	+	0.809881i
$321$	15.7161			0.877186
$322$	−0.282514	+	1.51877i	−0.0157439	+	0.0846379i
$323$	12.4652	−	30.0937i	0.693582	−	1.67446i
$324$	−6.10356	+	15.8385i	−0.339086	+	0.879914i
$325$	24.3443	+	1.79617i	1.35038	+	0.0996334i
$326$	−13.8721	−	9.02154i	−0.768305	−	0.499657i
$327$	−18.5350	−	18.5350i	−1.02499	−	1.02499i
$328$	28.4947	−	6.78196i	1.57335	−	0.374471i
$329$	−12.8535	−	12.8535i	−0.708635	−	0.708635i
$330$	−22.3133	−	0.544264i	−1.22831	−	0.0299608i
$331$	9.41958	−	3.90172i	0.517747	−	0.214458i	−0.108480	−	0.994099i	$-0.534598\pi$
$331$	9.41958	−	3.90172i	0.517747	−	0.214458i	0.626227	+	0.779641i	$0.284598\pi$
$332$	7.40837	+	7.04869i	0.406587	+	0.386847i
$333$	0.296500	+	0.122814i	0.0162481	+	0.00673018i
$334$	−16.7036	+	11.4640i	−0.913979	+	0.627282i
$335$	−2.93881	+	12.3743i	−0.160564	+	0.676078i
$336$	14.6342	+	5.22530i	0.798362	+	0.285063i
$337$	−1.10192			−0.0600256			−0.0300128	−	0.999550i	$-0.509555\pi$
$337$	−1.10192			−0.0600256			−0.0300128	+	0.999550i	$0.509555\pi$
$338$	−12.6336	+	8.67067i	−0.687175	+	0.471622i
$339$	−2.64901	+	6.39527i	−0.143874	+	0.347344i
$340$	−28.1034	−	5.94008i	−1.52412	−	0.322146i
$341$	11.2384	−	4.65508i	0.608591	−	0.252087i
$342$	−0.241204	−	1.13843i	−0.0130428	−	0.0615593i
$343$	−14.1572	+	14.1572i	−0.764418	+	0.764418i
$344$	19.7308	+	3.16467i	1.06381	+	0.170628i
$345$	0.935987	+	1.51904i	0.0503918	+	0.0817823i
$346$	11.9752	−	18.4138i	0.643789	−	0.989933i
$347$	−17.5085	+	7.25226i	−0.939905	+	0.389322i	−0.799428	−	0.600762i	$-0.794864\pi$
$347$	−17.5085	+	7.25226i	−0.939905	+	0.389322i	−0.140478	+	0.990084i	$0.544864\pi$
$348$	0.0557695	−	0.0247430i	0.00298956	−	0.00132636i
$349$	27.9163	+	11.5633i	1.49433	+	0.618971i	0.972254	−	0.233929i	$-0.0751585\pi$
$349$	27.9163	+	11.5633i	1.49433	+	0.618971i	0.522074	+	0.852900i	$0.325158\pi$
$350$	9.87194	−	12.9789i	0.527677	−	0.693751i
$351$	−26.0070			−1.38815
$352$	11.9178	−	20.4875i	0.635222	−	1.09199i
$353$		−	9.39685i		−	0.500144i	−0.968227	−	0.250072i	$-0.919546\pi$
$353$		−	9.39685i		−	0.500144i	0.968227	−	0.250072i	$-0.0804543\pi$
$354$	1.22340	−	6.57692i	0.0650230	−	0.349559i
$355$	6.32851	−	8.75540i	0.335883	−	0.464688i
$356$	28.9453	−	12.8420i	1.53410	−	0.680626i
$357$	−23.0524	+	9.54860i	−1.22006	+	0.505366i
$358$	2.34703	+	1.52636i	0.124044	+	0.0806706i
$359$	4.52078	−	4.52078i	0.238598	−	0.238598i	−0.577672	−	0.816269i	$-0.696039\pi$
$359$	4.52078	−	4.52078i	0.238598	−	0.238598i	0.816269	+	0.577672i	$0.196039\pi$
$360$	−0.947893	+	0.393171i	−0.0499584	+	0.0207219i
$361$	−4.75094	−	4.75094i	−0.250049	−	0.250049i
$362$	−5.58432	−	26.3568i	−0.293506	−	1.38528i
$363$	4.22598	+	10.2024i	0.221807	+	0.535488i
$364$	0.560041	+	22.5103i	0.0293541	+	1.17986i
$365$	−6.24020	+	8.63322i	−0.326627	+	0.451883i
$366$	3.07167	+	4.47556i	0.160559	+	0.233941i
$367$	21.2963			1.11166			0.555828	−	0.831297i	$-0.312401\pi$
$367$	21.2963			1.11166			0.555828	+	0.831297i	$0.312401\pi$
$368$	−1.89237	+	0.0942202i	−0.0986468	+	0.00491157i
$369$			1.68029i			0.0874726i
$370$	−2.25195	−	5.83525i	−0.117073	−	0.303360i
$371$	1.08052	−	2.60861i	0.0560980	−	0.135433i
$372$	−6.74229	+	7.08633i	−0.349571	+	0.367409i
$373$	0.115091	+	0.277855i	0.00595921	+	0.0143868i	0.926831	−	0.375478i	$-0.122522\pi$
$373$	0.115091	+	0.277855i	0.00595921	+	0.0143868i	−0.920872	+	0.389865i	$0.872522\pi$
$374$	7.88855	+	37.2322i	0.407907	+	1.92523i
$375$	−1.61541	−	18.7646i	−0.0834197	−	0.968997i
$376$	11.6861	−	18.9865i	0.602667	−	0.979153i
$377$	0.0625157	+	0.0625157i	0.00321972	+	0.00321972i
$378$	−9.47160	+	14.5642i	−0.487167	+	0.749100i
$379$	−2.74902	−	6.63672i	−0.141208	−	0.340906i	0.837416	−	0.546567i	$-0.184066\pi$
$379$	−2.74902	−	6.63672i	−0.141208	−	0.340906i	−0.978623	+	0.205661i	$0.934066\pi$
$380$	−12.8247	+	18.7057i	−0.657894	+	0.959583i
$381$	−3.71269	−	1.53785i	−0.190207	−	0.0787863i
$382$	−3.45501	+	18.5739i	−0.176773	+	0.950321i
$383$			14.0149i			0.716127i	0.933697	+	0.358063i	$0.116563\pi$
$383$			14.0149i			0.716127i	−0.933697	+	0.358063i	$0.883437\pi$
$384$	−2.07877	+	18.9449i	−0.106082	+	0.966779i
$385$	−21.0211	−	4.99238i	−1.07134	−	0.254435i
$386$	−8.21082	−	1.52733i	−0.417919	−	0.0777391i
$387$	−0.438688	+	1.05909i	−0.0222998	+	0.0538364i
$388$	8.19668	−	21.2700i	0.416123	−	1.07982i
$389$	10.9361	+	26.4021i	0.554482	+	1.33864i	0.914081	+	0.405532i	$0.132914\pi$
$389$	10.9361	+	26.4021i	0.554482	+	1.33864i	−0.359598	+	0.933107i	$0.617086\pi$
$390$	17.9359	+	18.8328i	0.908221	+	0.953635i
$391$	2.15131	−	2.15131i	0.108796	−	0.108796i
$392$	−4.05116	−	2.49348i	−0.204614	−	0.125940i
$393$	−25.5374	+	25.5374i	−1.28819	+	1.28819i
$394$	−4.00553	−	18.9052i	−0.201796	−	0.952432i
$395$	4.34526	+	27.0072i	0.218634	+	1.35888i
$396$	0.985056	+	0.937231i	0.0495009	+	0.0470976i
$397$	−16.9489	−	7.02045i	−0.850639	−	0.352346i	−0.0855995	−	0.996330i	$-0.527281\pi$
$397$	−16.9489	−	7.02045i	−0.850639	−	0.352346i	−0.765039	+	0.643983i	$0.777281\pi$
$398$	−0.397583	−	0.579297i	−0.0199290	−	0.0290375i
$399$			19.7012i			0.986292i
$400$	18.2894	+	8.09306i	0.914470	+	0.404653i
$401$		−	15.0802i		−	0.753071i	−0.926402	−	0.376535i	$-0.877115\pi$
$401$		−	15.0802i		−	0.753071i	0.926402	−	0.376535i	$-0.122885\pi$
$402$	−11.1722	+	7.66771i	−0.557219	+	0.382431i
$403$	−13.0949	−	5.42409i	−0.652305	−	0.270193i
$404$	0.494187	+	19.8634i	0.0245867	+	0.988239i
$405$	3.01454	+	18.7363i	0.149793	+	0.931016i
$406$	0.0577773	−	0.0122415i	0.00286744	−	0.000607537i
$407$	−5.86001	+	5.86001i	−0.290470	+	0.290470i
$408$	−17.9395	−	24.7936i	−0.888139	−	1.22747i
$409$	−0.664843	+	0.664843i	−0.0328744	+	0.0328744i	−0.723353	−	0.690479i	$-0.757400\pi$
$409$	−0.664843	+	0.664843i	−0.0328744	+	0.0328744i	0.690479	+	0.723353i	$0.257400\pi$
$410$	23.7140	−	22.5847i	1.17115	−	1.11538i
$411$	1.34888	+	3.25649i	0.0665355	+	0.160631i
$412$	0.392777	+	0.885301i	0.0193507	+	0.0436157i
$413$	2.47814	−	5.98277i	0.121942	−	0.294393i
$414$	0.0198775	−	0.106860i	0.000976925	−	0.00525188i
$415$	11.1235	+	2.64175i	0.546029	+	0.129678i
$416$	−26.6994	+	7.06076i	−1.30905	+	0.346182i
$417$		−	3.96137i		−	0.193989i
$418$	29.5434	+	5.49549i	1.44501	+	0.268793i
$419$	−9.59488	−	3.97433i	−0.468741	−	0.194159i	0.135795	−	0.990737i	$-0.456641\pi$
$419$	−9.59488	−	3.97433i	−0.468741	−	0.194159i	−0.604535	+	0.796578i	$0.706641\pi$
$420$	17.0787	−	3.18550i	0.833356	−	0.155436i
$421$	4.75229	+	11.4730i	0.231613	+	0.559162i	0.996367	−	0.0851593i	$-0.0271399\pi$
$421$	4.75229	+	11.4730i	0.231613	+	0.559162i	−0.764755	+	0.644321i	$0.777140\pi$
$422$	11.1630	+	7.25971i	0.543407	+	0.353397i
$423$	0.904363	+	0.904363i	0.0439716	+	0.0439716i
$424$	3.41936	+	0.548440i	0.166059	+	0.0266346i
$425$	−30.4940	+	10.0733i	−1.47918	+	0.488625i
$426$	11.2598	−	2.38566i	0.545538	−	0.115585i
$427$	2.01084	+	4.85459i	0.0973112	+	0.234930i
$428$	0.464079	+	18.6532i	0.0224321	+	0.901637i
$429$	13.1868	−	31.8357i	0.636663	−	1.53704i
$430$	20.8433	−	8.04390i	1.00515	−	0.387912i
$431$			12.0404i			0.579964i	0.957032	+	0.289982i	$0.0936493\pi$
$431$			12.0404i			0.579964i	−0.957032	+	0.289982i	$0.906351\pi$
$432$	−20.0672	−	7.16520i	−0.965484	−	0.344736i
$433$	−9.62942			−0.462760			−0.231380	−	0.972863i	$-0.574324\pi$
$433$	−9.62942			−0.462760			−0.231380	+	0.972863i	$0.574324\pi$
$434$	−7.80665	+	5.35786i	−0.374731	+	0.257186i
$435$	0.0399597	−	0.0552837i	0.00191592	−	0.00265065i
$436$	21.4517	−	22.5463i	1.02735	−	1.07977i
$437$	−0.919284	−	2.21935i	−0.0439753	−	0.106166i
$438$	−11.1026	+	2.35237i	−0.530505	+	0.112400i
$439$	−19.2091	−	19.2091i	−0.916802	−	0.916802i	0.0799936	−	0.996795i	$-0.474510\pi$
$439$	−19.2091	−	19.2091i	−0.916802	−	0.916802i	−0.996795	+	0.0799936i	$0.974510\pi$
$440$	−0.0129068	−	26.4994i	−0.000615309	−	1.26331i
$441$	0.192964	−	0.192964i	0.00918879	−	0.00918879i
$442$	24.1769	−	37.1759i	1.14998	−	1.76828i
$443$	−5.87555	+	2.43373i	−0.279156	+	0.115630i	−0.517869	−	0.855460i	$-0.673274\pi$
$443$	−5.87555	+	2.43373i	−0.279156	+	0.115630i	0.238713	+	0.971090i	$0.423274\pi$
$444$	2.39622	−	6.21810i	0.113720	−	0.295098i
$445$	20.7398	−	28.6932i	0.983160	−	1.36019i
$446$	−16.6022	−	3.08826i	−0.786139	−	0.146233i
$447$			16.0752i			0.760329i
$448$	−5.76970	+	17.5234i	−0.272593	+	0.827905i
$449$	−4.79399			−0.226242			−0.113121	−	0.993581i	$-0.536085\pi$
$449$	−4.79399			−0.226242			−0.113121	+	0.993581i	$0.536085\pi$
$450$	−0.694583	+	0.913187i	−0.0327430	+	0.0430480i
$451$	−40.0871	−	16.6046i	−1.88763	−	0.781881i
$452$	−7.66868	−	2.95523i	−0.360705	−	0.139002i
$453$	−6.22068	+	2.57669i	−0.292273	+	0.121063i
$454$	−24.1521	−	15.7070i	−1.13351	−	0.737165i
$455$	13.2064	+	21.4330i	0.619126	+	1.00480i
$456$	−23.5067	+	5.59479i	−1.10080	+	0.262000i
$457$	8.01569	−	8.01569i	0.374958	−	0.374958i	−0.494321	−	0.869279i	$-0.664583\pi$
$457$	8.01569	−	8.01569i	0.374958	−	0.374958i	0.869279	+	0.494321i	$0.164583\pi$
$458$	35.6235	−	7.54770i	1.66458	−	0.352681i
$459$	31.6106	−	13.0935i	1.47546	−	0.611154i
$460$	−1.77529	+	1.15576i	−0.0827732	+	0.0538878i
$461$	−2.18729	+	5.28057i	−0.101872	+	0.245941i	−0.966595	−	0.256308i	$-0.917494\pi$
$461$	−2.18729	+	5.28057i	−0.101872	+	0.245941i	0.864723	+	0.502249i	$0.167494\pi$
$462$	−13.0257	−	18.9791i	−0.606012	−	0.882988i
$463$	−28.6881			−1.33325			−0.666625	−	0.745393i	$-0.732262\pi$
$463$	−28.6881			−1.33325			−0.666625	+	0.745393i	$0.732262\pi$
$464$	0.0310139	+	0.0654614i	0.00143978	+	0.00303897i
$465$	−2.52691	+	10.6399i	−0.117183	+	0.493414i
$466$	10.3302	+	15.0516i	0.478537	+	0.697251i
$467$	−11.1727	−	4.62788i	−0.517011	−	0.214153i	0.108893	−	0.994054i	$-0.465270\pi$
$467$	−11.1727	−	4.62788i	−0.517011	−	0.214153i	−0.625903	+	0.779901i	$0.715270\pi$
$468$	−0.0394041	−	1.58381i	−0.00182146	−	0.0732117i
$469$	−12.1184	+	5.01959i	−0.559574	+	0.231783i
$470$	0.607818	−	24.9188i	0.0280365	−	1.14942i
$471$	−4.06803	−	4.06803i	−0.187445	−	0.187445i
$472$	7.84218	+	1.25783i	0.360965	+	0.0578963i
$473$	−20.9318	−	20.9318i	−0.962443	−	0.962443i
$474$	−15.8888	+	24.4317i	−0.729797	+	1.12218i
$475$	−1.86581	+	25.2881i	−0.0856090	+	1.16030i
$476$	−12.0138	−	27.0786i	−0.550652	−	1.24114i
$477$	−0.0760250	+	0.183541i	−0.00348094	+	0.00840374i
$478$	40.9318	+	7.61390i	1.87218	+	0.348252i
$479$	26.1335			1.19407			0.597035	−	0.802215i	$-0.296345\pi$
$479$	26.1335			1.19407			0.597035	+	0.802215i	$0.296345\pi$
$480$	8.65088	+	19.4731i	0.394857	+	0.888821i
$481$	9.65636			0.440292
$482$	−30.9659	−	5.76011i	−1.41046	−	0.262366i
$483$	−0.704191	+	1.70007i	−0.0320418	+	0.0773557i
$484$	−11.9843	+	5.31703i	−0.544742	+	0.241683i
$485$	−4.04832	−	25.1617i	−0.183825	−	1.14253i
$486$	1.29864	−	1.99687i	0.0589074	−	0.0905799i
$487$	−13.9475	−	13.9475i	−0.632023	−	0.632023i	0.316552	−	0.948575i	$-0.397475\pi$
$487$	−13.9475	−	13.9475i	−0.632023	−	0.632023i	−0.948575	+	0.316552i	$0.897475\pi$
$488$	−5.22127	+	3.77788i	−0.236356	+	0.171016i
$489$	−13.9377	−	13.9377i	−0.630286	−	0.630286i
$490$	−5.31694	−	0.129690i	−0.240195	−	0.00585882i
$491$	33.6240	−	13.9275i	1.51743	−	0.628541i	0.540357	−	0.841436i	$-0.318289\pi$
$491$	33.6240	−	13.9275i	1.51743	−	0.628541i	0.977075	+	0.212895i	$0.0682892\pi$
$492$	34.8791	−	0.867769i	1.57247	−	0.0391220i
$493$	−0.107460	−	0.0445114i	−0.00483976	−	0.00200469i
$494$	−19.8135	−	28.8692i	−0.891453	−	1.29889i
$495$	1.47903	+	0.351261i	0.0664776	+	0.0157880i
$496$	−8.60976	−	7.79307i	−0.386590	−	0.349919i
$497$	11.1415			0.499764
$498$	6.89265	+	10.0429i	0.308867	+	0.450034i
$499$	1.26230	−	3.04746i	0.0565082	−	0.136423i	−0.893104	−	0.449850i	$-0.851477\pi$
$499$	1.26230	−	3.04746i	0.0565082	−	0.136423i	0.949612	+	0.313427i	$0.101477\pi$
$500$	22.2237	−	2.47141i	0.993873	−	0.110525i
$501$	−22.2950	+	9.23490i	−0.996068	+	0.412585i
$502$	17.7238	−	3.75523i	0.791054	−	0.167604i
$503$	18.2619	−	18.2619i	0.814258	−	0.814258i	−0.171011	−	0.985269i	$-0.554703\pi$
$503$	18.2619	−	18.2619i	0.814258	−	0.814258i	0.985269	+	0.171011i	$0.0547035\pi$
$504$	−0.901301	−	0.554749i	−0.0401471	−	0.0247105i
$505$	11.6535	+	18.9128i	0.518573	+	0.841607i
$506$	2.35295	+	1.53021i	0.104601	+	0.0680260i
$507$	−16.8626	+	6.98471i	−0.748894	+	0.310202i
$508$	1.71562	−	4.45195i	0.0761183	−	0.197524i
$509$	−19.7357	−	8.17481i	−0.874771	−	0.362342i	−0.100304	−	0.994957i	$-0.531982\pi$
$509$	−19.7357	−	8.17481i	−0.874771	−	0.362342i	−0.774466	+	0.632615i	$0.781982\pi$
$510$	−31.2821	−	13.8606i	−1.38520	−	0.613756i
$511$	−10.9860			−0.485993
$512$	−22.5468	−	1.90784i	−0.996439	−	0.0843155i
$513$		−	27.0153i		−	1.19275i
$514$	−20.9651	−	3.89982i	−0.924732	−	0.172013i
$515$	0.877589	+	0.634332i	0.0386712	+	0.0279520i
$516$	22.2108	+	8.55924i	0.977778	+	0.376799i
$517$	−30.5125	+	12.6387i	−1.34194	+	0.555848i
$518$	3.51680	−	5.40766i	0.154519	−	0.237599i
$519$	18.5009	−	18.5009i	0.812100	−	0.812100i
$520$	−21.8227	+	21.8440i	−0.956991	+	0.957923i
$521$	12.8124	+	12.8124i	0.561320	+	0.561320i	0.929682	−	0.368362i	$-0.120081\pi$
$521$	12.8124	+	12.8124i	0.561320	+	0.561320i	−0.368362	+	0.929682i	$0.620081\pi$
$522$	−0.00406517		0.000861306i	−0.000177928		3.76983e-5i
$523$	−2.05494	−	4.96107i	−0.0898563	−	0.216932i	0.872562	−	0.488503i	$-0.162457\pi$
$523$	−2.05494	−	4.96107i	−0.0898563	−	0.216932i	−0.962418	+	0.271571i	$0.912457\pi$
$524$	−31.0640	−	29.5558i	−1.35704	−	1.29115i
$525$	14.7082	−	12.6869i	0.641917	−	0.553702i
$526$	−8.21145	+	5.63568i	−0.358036	+	0.245727i
$527$	18.6473			0.812288
$528$	18.9461	−	20.9316i	0.824523	−	0.910930i
$529$			22.7756i			0.990245i
$530$	3.61216	−	1.39401i	0.156902	−	0.0605521i
$531$	−0.174361	+	0.420944i	−0.00756661	+	0.0182674i
$532$	−23.3830	+	0.581754i	−1.01378	+	0.0252222i
$533$	19.3477	+	46.7095i	0.838042	+	2.02321i
$534$	36.9005	−	7.81827i	1.59684	−	0.338330i
$535$	10.9435	+	17.7605i	0.473129	+	0.767855i
$536$	−9.43060	−	13.0337i	−0.407340	−	0.562971i
$537$	2.35813	+	2.35813i	0.101761	+	0.101761i
$538$	1.09369	+	0.711266i	0.0471523	+	0.0306649i
$539$	2.69672	+	6.51046i	0.116156	+	0.280425i
$540$	−23.4192	+	4.36812i	−1.00780	+	0.187974i
$541$	−5.93418	−	2.45802i	−0.255130	−	0.105678i	0.251453	−	0.967870i	$-0.419092\pi$
$541$	−5.93418	−	2.45802i	−0.255130	−	0.105678i	−0.506583	+	0.862191i	$0.669092\pi$
$542$	−35.9234	−	6.68227i	−1.54304	−	0.287028i
$543$		−	32.0922i		−	1.37721i
$544$	28.8975	−	22.0243i	1.23897	−	0.944284i
$545$	8.03978	−	33.8526i	0.344386	−	1.45009i
$546$	−4.90510	+	26.3694i	−0.209919	+	1.12851i
$547$	−13.3436	+	32.2142i	−0.570530	+	1.37738i	0.330575	+	0.943780i	$0.392757\pi$
$547$	−13.3436	+	32.2142i	−0.570530	+	1.37738i	−0.901105	+	0.433601i	$0.857243\pi$
$548$	−3.82526	+	1.69713i	−0.163407	+	0.0724979i
$549$	−0.141481	−	0.341566i	−0.00603827	−	0.0145777i
$550$	−14.9222	−	25.5949i	−0.636286	−	1.09137i
$551$	−0.0649394	+	0.0649394i	−0.00276651	+	0.00276651i
$552$	−2.22844	−	0.357425i	−0.0948486	−	0.0152130i
$553$	−19.9485	+	19.9485i	−0.848294	+	0.848294i
$554$	45.5731	−	9.65576i	1.93621	−	0.410234i
$555$	−1.18349	−	7.35579i	−0.0502364	−	0.312236i
$556$	4.70169	−	0.116975i	0.199396	−	0.00496084i
$557$	21.8700	+	9.05885i	0.926661	+	0.383836i	0.794411	−	0.607381i	$-0.207780\pi$
$557$	21.8700	+	9.05885i	0.926661	+	0.383836i	0.132250	+	0.991216i	$0.457780\pi$
$558$	0.549271	−	0.376976i	0.0232525	−	0.0159587i
$559$			34.4922i			1.45886i
$560$	4.28514	+	20.1764i	0.181080	+	0.852610i
$561$			45.3342i			1.91401i
$562$	10.2553	+	14.9425i	0.432594	+	0.630310i
$563$	26.9642	+	11.1689i	1.13641	+	0.470715i	0.869954	−	0.493133i	$-0.164149\pi$
$563$	26.9642	+	11.1689i	1.13641	+	0.470715i	0.266452	+	0.963848i	$0.414149\pi$
$564$	18.3055	−	19.2396i	0.770801	−	0.810133i
$565$	−9.07178	+	1.45958i	−0.381653	+	0.0614050i
$566$	6.57913	+	31.0520i	0.276541	+	1.30521i
$567$	−13.8393	+	13.8393i	−0.581196	+	0.581196i
$568$	3.16399	+	13.2936i	0.132758	+	0.557788i
$569$	−16.9474	+	16.9474i	−0.710472	+	0.710472i	−0.966634	−	0.256162i	$-0.917542\pi$
$569$	−16.9474	+	16.9474i	−0.710472	+	0.710472i	0.256162	+	0.966634i	$0.417542\pi$
$570$	−19.5629	+	18.6313i	−0.819402	+	0.780380i
$571$	8.95450	+	21.6181i	0.374734	+	0.904688i	0.992934	+	0.118667i	$0.0378621\pi$
$571$	8.95450	+	21.6181i	0.374734	+	0.904688i	−0.618200	+	0.786021i	$0.712138\pi$
$572$	38.1747	+	14.7111i	1.59616	+	0.615102i
$573$	−8.61192	+	20.7910i	−0.359768	+	0.868557i
$574$	33.2041	+	6.17644i	1.38591	+	0.257800i
$575$	−1.06489	+	2.11549i	−0.0444092	+	0.0882221i
$576$	0.405953	−	1.23294i	0.0169147	−	0.0513725i
$577$			27.3364i			1.13803i	0.822327	+	0.569016i	$0.192676\pi$
$577$			27.3364i			1.13803i	−0.822327	+	0.569016i	$0.807324\pi$
$578$	−6.27280	+	33.7221i	−0.260914	+	1.40265i
$579$	−9.19094	−	3.80701i	−0.381962	−	0.158214i
$580$	0.0667954	+	0.0457952i	0.00277353	+	0.00190154i
$581$	4.51221	+	10.8934i	0.187198	+	0.451936i
$582$	14.8030	−	22.7621i	0.613606	−	0.943521i
$583$	−3.62749	−	3.62749i	−0.150235	−	0.150235i
$584$	−3.11984	−	13.1081i	−0.129100	−	0.542418i
$585$	−0.929194	−	1.50802i	−0.0384174	−	0.0623488i
$586$	0.848761	+	4.00596i	0.0350620	+	0.165485i
$587$	−4.81774	−	11.6310i	−0.198849	−	0.480065i	0.792729	−	0.609574i	$-0.208660\pi$
$587$	−4.81774	−	11.6310i	−0.198849	−	0.480065i	−0.991578	+	0.129510i	$0.958660\pi$
$588$	−4.10516	−	3.90586i	−0.169294	−	0.161075i
$589$	5.63439	−	13.6026i	0.232161	−	0.560486i
$590$	8.28437	−	3.19712i	0.341062	−	0.131623i
$591$		−	23.0191i		−	0.946881i
$592$	7.45093	+	2.66043i	0.306231	+	0.109343i
$593$	−45.6402			−1.87422			−0.937109	−	0.349037i	$-0.886509\pi$
$593$	−45.6402			−1.87422			−0.937109	+	0.349037i	$0.886509\pi$
$594$	17.8616	+	26.0251i	0.732869	+	1.06782i
$595$	−26.8427	−	19.4022i	−1.10044	−	0.795414i
$596$	−19.0794	+	0.474682i	−0.781522	+	0.0194437i
$597$	−0.320276	−	0.773214i	−0.0131080	−	0.0316455i
$598$	−0.677873	−	3.19941i	−0.0277203	−	0.130834i
$599$	−12.8454	−	12.8454i	−0.524849	−	0.524849i	0.394183	−	0.919032i	$-0.371028\pi$
$599$	−12.8454	−	12.8454i	−0.524849	−	0.524849i	−0.919032	+	0.394183i	$0.871028\pi$
$600$	19.3144	+	13.9464i	0.788508	+	0.569359i
$601$	11.6106	−	11.6106i	0.473607	−	0.473607i	−0.429473	−	0.903080i	$-0.641301\pi$
$601$	11.6106	−	11.6106i	0.473607	−	0.473607i	0.903080	+	0.429473i	$0.141301\pi$
$602$	19.3160	+	12.5619i	0.787260	+	0.511984i
$603$	0.852641	−	0.353175i	0.0347222	−	0.0143824i
$604$	−3.24193	−	7.30715i	−0.131912	−	0.297324i
$605$	−8.58696	+	11.8799i	−0.349110	+	0.482988i
$606$	−4.32831	+	23.2687i	−0.175826	+	0.945226i
$607$		−	41.0347i		−	1.66555i	−0.553614	−	0.832774i	$-0.686752\pi$
$607$		−	41.0347i		−	1.66555i	0.553614	−	0.832774i	$-0.313248\pi$
$608$	−7.33451	−	27.7346i	−0.297454	−	1.12479i
$609$	0.0703500			0.00285073
$610$	−2.91889	+	6.58769i	−0.118182	+	0.266728i
$611$	35.5531	+	14.7266i	1.43832	+	0.595773i
$612$	0.845285	+	1.90523i	0.0341686	+	0.0770144i
$613$	−0.689095	+	0.285432i	−0.0278323	+	0.0115285i	−0.396556	−	0.918010i	$-0.629795\pi$
$613$	−0.689095	+	0.285432i	−0.0278323	+	0.0115285i	0.368724	+	0.929539i	$0.379795\pi$
$614$	−22.3819	+	34.4159i	−0.903259	+	1.38891i
$615$	33.2100	−	20.4630i	1.33915	−	0.825147i
$616$	22.1414	−	16.0205i	0.892102	−	0.645484i
$617$	32.9238	−	32.9238i	1.32546	−	1.32546i	0.416177	−	0.909284i	$-0.363370\pi$
$617$	32.9238	−	32.9238i	1.32546	−	1.32546i	0.909284	−	0.416177i	$-0.136630\pi$
$618$	0.239124	+	1.12861i	0.00961898	+	0.0453995i
$619$	9.14542	−	3.78816i	0.367586	−	0.152259i	−0.191242	−	0.981543i	$-0.561251\pi$
$619$	9.14542	−	3.78816i	0.367586	−	0.152259i	0.558827	+	0.829284i	$0.311251\pi$
$620$	−12.7030	−	2.68497i	−0.510164	−	0.107831i
$621$	0.965623	−	2.33122i	0.0387491	−	0.0935487i
$622$	−24.3166	+	16.6890i	−0.975006	+	0.669166i
$623$	36.5129			1.46286
$624$	−32.8560	+	1.63588i	−1.31529	+	0.0654877i
$625$	20.0807	−	14.8918i	0.803228	−	0.595671i
$626$	−26.1442	+	17.9433i	−1.04493	+	0.717159i
$627$	33.0699	+	13.6980i	1.32069	+	0.547046i
$628$	4.70816	−	4.94841i	0.187876	−	0.197463i
$629$	−11.7370	+	4.86162i	−0.467984	+	0.193845i
$630$	−1.18291	−	0.0288535i	−0.0471283	−	0.00114955i
$631$	−19.1878	−	19.1878i	−0.763855	−	0.763855i	0.213162	−	0.977017i	$-0.431624\pi$
$631$	−19.1878	−	19.1878i	−0.763855	−	0.763855i	−0.977017	+	0.213162i	$0.931624\pi$
$632$	−29.4668	−	18.1368i	−1.17213	−	0.721441i
$633$	11.2158	+	11.2158i	0.445789	+	0.445789i
$634$	2.19031	+	1.42444i	0.0869882	+	0.0565716i
$635$	−0.847341	−	5.26650i	−0.0336257	−	0.208995i
$636$	3.84915	+	1.48332i	0.152629	+	0.0588175i
$637$	3.14222	−	7.58599i	0.124499	−	0.300568i
$638$	0.0196236	−	0.105495i	0.000776906	−	0.00417659i
$639$	−0.783908			−0.0310109
$640$	−22.8569	+	10.8426i	−0.903498	+	0.428593i
$641$	16.4672			0.650415			0.325207	−	0.945643i	$-0.394566\pi$
$641$	16.4672			0.650415			0.325207	+	0.945643i	$0.394566\pi$
$642$	−4.06462	+	21.8511i	−0.160418	+	0.862393i
$643$	5.71507	−	13.7974i	0.225381	−	0.544117i	−0.770224	−	0.637773i	$-0.779856\pi$
$643$	5.71507	−	13.7974i	0.225381	−	0.544117i	0.995605	+	0.0936567i	$0.0298556\pi$
$644$	−2.03858	−	0.785593i	−0.0803313	−	0.0309567i
$645$	26.2746	−	4.22739i	1.03456	−	0.166453i
$646$	38.6173	+	25.1142i	1.51938	+	0.988106i
$647$	−16.8432	−	16.8432i	−0.662175	−	0.662175i	0.293717	−	0.955892i	$-0.405108\pi$
$647$	−16.8432	−	16.8432i	−0.662175	−	0.662175i	−0.955892	+	0.293717i	$0.905108\pi$
$648$	−20.4427	−	12.5824i	−0.803064	−	0.494284i
$649$	−8.31951	−	8.31951i	−0.326570	−	0.326570i
$650$	−8.79344	+	33.3829i	−0.344907	+	1.30938i
$651$	−10.4199	+	4.31606i	−0.408388	+	0.169160i
$652$	16.1309	−	16.9541i	0.631736	−	0.663973i
$653$	−0.578262	−	0.239524i	−0.0226291	−	0.00937330i	0.371340	−	0.928497i	$-0.378898\pi$
$653$	−0.578262	−	0.239524i	−0.0226291	−	0.00937330i	−0.393969	+	0.919124i	$0.628898\pi$
$654$	30.5641	−	20.9768i	1.19515	−	0.820257i
$655$	−46.6417	−	11.0771i	−1.82244	−	0.432818i
$656$	2.05989	+	41.3719i	0.0804250	+	1.61530i
$657$	0.772969			0.0301564
$658$	21.1953	−	14.5468i	0.826278	−	0.567091i
$659$	−9.88205	+	23.8574i	−0.384950	+	0.929352i	0.606042	+	0.795432i	$0.292756\pi$
$659$	−9.88205	+	23.8574i	−0.384950	+	0.929352i	−0.990992	+	0.133919i	$0.957244\pi$
$660$	6.52756	−	30.8828i	0.254085	−	1.20211i
$661$	−33.5571	+	13.8998i	−1.30522	+	0.540640i	−0.923486	−	0.383632i	$-0.874673\pi$
$661$	−33.5571	+	13.8998i	−1.30522	+	0.540640i	−0.381735	+	0.924272i	$0.624673\pi$
$662$	2.98864	+	14.1057i	0.116157	+	0.548235i
$663$	37.3518	−	37.3518i	1.45062	−	1.45062i
$664$	−11.7163	+	8.47735i	−0.454679	+	0.328985i
$665$	−22.2640	+	13.7184i	−0.863362	+	0.531978i
$666$	−0.247440	+	0.380479i	−0.00958809	+	0.0147433i
$667$	−0.00792497	+	0.00328263i	−0.000306856	+	0.000127104i
$668$	−11.6191	−	26.1889i	−0.449557	−	1.01328i
$669$	−18.5841	−	7.69777i	−0.718501	−	0.297613i
$670$	−16.4447	−	7.28634i	−0.635313	−	0.281496i
$671$	9.54691			0.368554
$672$	−11.0499	+	18.9955i	−0.426258	+	0.732767i
$673$			18.2318i			0.702785i	0.936228	+	0.351393i	$0.114292\pi$
$673$			18.2318i			0.702785i	−0.936228	+	0.351393i	$0.885708\pi$
$674$	0.284988	−	1.53208i	0.0109773	−	0.0590133i
$675$	−20.1686	+	17.3969i	−0.776290	+	0.669609i
$676$	−8.78799	−	19.8077i	−0.338000	−	0.761835i
$677$	45.5975	−	18.8871i	1.75246	−	0.725891i	0.754913	−	0.655825i	$-0.227679\pi$
$677$	45.5975	−	18.8871i	1.75246	−	0.725891i	0.997542	−	0.0700655i	$-0.0223208\pi$
$678$	−8.20665	−	5.33708i	−0.315174	−	0.204969i
$679$	18.5853	−	18.5853i	0.713237	−	0.713237i
$680$	15.5272	−	37.5376i	0.595440	−	1.43950i
$681$	−24.2663	−	24.2663i	−0.929888	−	0.929888i
$682$	3.56570	+	16.8293i	0.136538	+	0.644428i
$683$	−3.80404	−	9.18377i	−0.145558	−	0.351407i	0.834239	−	0.551403i	$-0.185907\pi$
$683$	−3.80404	−	9.18377i	−0.145558	−	0.351407i	−0.979797	+	0.199995i	$0.935907\pi$
$684$	1.64522	−	0.0409319i	0.0629064	−	0.00156507i
$685$	−2.74086	+	3.79193i	−0.104723	+	0.144882i
$686$	−16.0222	−	23.3451i	−0.611731	−	0.891321i
$687$	43.3754			1.65487
$688$	−9.50298	+	26.6145i	−0.362298	+	1.01467i
$689$			5.97752i			0.227725i
$690$	−2.35409	+	0.908496i	−0.0896187	+	0.0345859i
$691$	−4.68468	+	11.3098i	−0.178214	+	0.430246i	−0.987592	−	0.157042i	$-0.949804\pi$
$691$	−4.68468	+	11.3098i	−0.178214	+	0.430246i	0.809378	+	0.587288i	$0.199804\pi$
$692$	22.5048	+	21.4122i	0.855504	+	0.813969i
$693$	0.599966	+	1.44845i	0.0227908	+	0.0550220i
$694$	−5.55509	−	26.2188i	−0.210868	−	0.995253i
$695$	4.47669	−	2.75840i	0.169810	−	0.104632i
$696$	0.0199782	+	0.0839391i	0.000757271	+	0.00318170i
$697$	−47.0330	−	47.0330i	−1.78150	−	1.78150i
$698$	−23.2972	+	35.8233i	−0.881811	+	1.35593i
$699$	8.32156	+	20.0900i	0.314750	+	0.759874i
$700$	15.4922	+	17.0823i	0.585551	+	0.645650i
$701$	35.6692	+	14.7747i	1.34721	+	0.558032i	0.935514	−	0.353290i	$-0.114937\pi$
$701$	35.6692	+	14.7747i	1.34721	+	0.558032i	0.411695	+	0.911322i	$0.364937\pi$
$702$	6.72612	−	36.1591i	0.253861	−	1.36474i
$703$			10.0307i			0.378317i
$704$	25.4029	+	21.8688i	0.957406	+	0.824210i
$705$	6.86064	−	28.8877i	0.258387	−	1.08797i
$706$	13.0650	+	2.43029i	0.491709	+	0.0914650i
$707$	−8.76751	+	21.1667i	−0.329736	+	0.796054i
$708$	8.82790	+	3.40195i	0.331773	+	0.127853i
$709$	2.50461	+	6.04667i	0.0940627	+	0.227087i	0.963907	−	0.266239i	$-0.0857809\pi$
$709$	2.50461	+	6.04667i	0.0940627	+	0.227087i	−0.869844	+	0.493326i	$0.835781\pi$
$710$	10.5365	+	11.0633i	0.395426	+	0.415199i
$711$	1.40356	−	1.40356i	0.0526376	−	0.0526376i
$712$	10.3690	+	43.5659i	0.388596	+	1.63270i
$713$	0.972413	−	0.972413i	0.0364172	−	0.0364172i
$714$	−7.31405	−	34.5207i	−0.273721	−	1.29191i
$715$	45.1593	−	7.26579i	1.68886	−	0.271725i
$716$	−2.72920	+	2.86847i	−0.101995	+	0.107200i
$717$	45.8178	+	18.9783i	1.71110	+	0.708759i
$718$	5.11633	+	7.45473i	0.190940	+	0.278208i
$719$			9.41800i			0.351232i	0.984459	+	0.175616i	$0.0561917\pi$
$719$			9.41800i			0.351232i	−0.984459	+	0.175616i	$0.943808\pi$
$720$	−0.301500	−	1.41960i	−0.0112362	−	0.0529054i
$721$			1.11676i			0.0415902i
$722$	7.83426	−	5.37681i	0.291561	−	0.200104i
$723$	−34.6623	−	14.3576i	−1.28911	−	0.533965i
$724$	38.0898	−	0.947647i	1.41560	−	0.0352190i
$725$	0.0903003	+	0.00666252i	0.00335367	+	0.000247440i
$726$	−15.2780	+	3.23702i	−0.567021	+	0.120137i
$727$	6.58551	−	6.58551i	0.244243	−	0.244243i	−0.574360	−	0.818603i	$-0.694749\pi$
$727$	6.58551	−	6.58551i	0.244243	−	0.244243i	0.818603	+	0.574360i	$0.194749\pi$
$728$	−31.4424	−	5.04313i	−1.16533	−	0.186911i
$729$	20.0098	−	20.0098i	0.741102	−	0.741102i
$730$	−10.3894	−	10.9089i	−0.384530	−	0.403758i
$731$	−17.3655	−	41.9241i	−0.642288	−	1.55062i
$732$	−7.01707	+	3.11323i	−0.259358	+	0.115068i
$733$	−0.0154083	+	0.0371989i	−0.000569118	+	0.00137397i	−0.924164	−	0.381996i	$-0.875237\pi$
$733$	−0.0154083	+	0.0371989i	−0.000569118	+	0.00137397i	0.923595	+	0.383370i	$0.125237\pi$
$734$	−5.50781	+	29.6096i	−0.203297	+	1.09291i
$735$	−6.16378	−	1.46386i	−0.227355	−	0.0539953i
$736$	0.358420	−	2.65545i	0.0132115	−	0.0978814i
$737$			23.8317i			0.877852i
$738$	−2.33622	−	0.434571i	−0.0859975	−	0.0159968i
$739$	29.1793	+	12.0864i	1.07338	+	0.444607i	0.848181	−	0.529706i	$-0.177698\pi$
$739$	29.1793	+	12.0864i	1.07338	+	0.444607i	0.225196	+	0.974314i	$0.427698\pi$
$740$	8.69554	−	1.62188i	0.319654	−	0.0596214i
$741$	−15.9609	−	38.5331i	−0.586339	−	1.41555i
$742$	3.34747	+	2.17698i	0.122890	+	0.0799195i
$743$	2.30882	+	2.30882i	0.0847024	+	0.0847024i	0.748189	−	0.663486i	$-0.230924\pi$
$743$	2.30882	+	2.30882i	0.0847024	+	0.0847024i	−0.663486	+	0.748189i	$0.730924\pi$
$744$	−8.10884	−	11.2070i	−0.297284	−	0.410867i
$745$	−18.1663	+	11.1935i	−0.665562	+	0.410099i
$746$	−0.416086	+	0.0881578i	−0.0152340	+	0.00322769i
$747$	−0.317476	−	0.766455i	−0.0116158	−	0.0280431i
$748$	−53.8066	+	1.33867i	−1.96736	+	0.0489466i
$749$	−8.23336	+	19.8771i	−0.300841	+	0.726293i
$750$	26.5073	+	2.60702i	0.967911	+	0.0951949i
$751$			26.3111i			0.960104i	0.877240	+	0.480052i	$0.159382\pi$
$751$			26.3111i			0.960104i	−0.877240	+	0.480052i	$0.840618\pi$
$752$	23.3758	+	21.1584i	0.852426	+	0.771568i
$753$	21.5807			0.786443
$754$	−0.103088	+	0.0707513i	−0.00375424	+	0.00257661i
$755$	−7.24350	−	5.23569i	−0.263618	−	0.190546i
$756$	−17.7999	−	16.9357i	−0.647375	−	0.615944i
$757$	5.94229	+	14.3460i	0.215976	+	0.521413i	0.994321	−	0.106425i	$-0.0339402\pi$
$757$	5.94229	+	14.3460i	0.215976	+	0.521413i	−0.778344	+	0.627837i	$0.783940\pi$
$758$	9.93843	−	2.10570i	0.360980	−	0.0764824i
$759$	2.36408	+	2.36408i	0.0858106	+	0.0858106i
$760$	−22.6909	−	22.6688i	−0.823086	−	0.822285i
$761$	−11.9158	+	11.9158i	−0.431947	+	0.431947i	−0.889290	−	0.457344i	$-0.848801\pi$
$761$	−11.9158	+	11.9158i	−0.431947	+	0.431947i	0.457344	+	0.889290i	$0.348801\pi$
$762$	3.09837	−	4.76426i	0.112242	−	0.172591i
$763$	33.1526	−	13.7322i	1.20020	−	0.497140i
$764$	−24.9309	−	9.60743i	−0.901967	−	0.347585i
$765$	1.88863	+	1.36513i	0.0682837	+	0.0493563i
$766$	−19.4858	−	3.62464i	−0.704050	−	0.130963i
$767$			13.7092i			0.495012i
$768$	−25.8027	−	7.78993i	−0.931075	−	0.281095i
$769$	−3.99960			−0.144229			−0.0721147	−	0.997396i	$-0.522975\pi$
$769$	−3.99960			−0.144229			−0.0721147	+	0.997396i	$0.522975\pi$
$770$	12.3779	−	27.9358i	0.446067	−	1.00674i
$771$	−23.4677	−	9.72065i	−0.845169	−	0.350081i
$772$	4.24709	−	11.0210i	0.152856	−	0.396655i
$773$	19.9192	−	8.25079i	0.716442	−	0.296760i	0.00547489	−	0.999985i	$-0.498257\pi$
$773$	19.9192	−	8.25079i	0.716442	−	0.296760i	0.710968	+	0.703225i	$0.248257\pi$
$774$	−1.35906	−	0.883846i	−0.0488504	−	0.0317692i
$775$	−13.7836	+	4.55321i	−0.495121	+	0.163556i
$776$	27.4532	+	16.8974i	0.985512	+	0.606581i
$777$	5.43324	−	5.43324i	0.194916	−	0.194916i
$778$	−39.5369	+	8.37685i	−1.41747	+	0.300325i
$779$	−48.5204	+	20.0978i	−1.73842	+	0.720079i
$780$	−30.8232	+	20.0668i	−1.10365	+	0.718506i
$781$	7.74656	−	18.7019i	0.277194	−	0.669205i
$782$	2.43472	+	3.54749i	0.0870653	+	0.126858i
$783$	−0.0964676			−0.00344747
$784$	4.51459	−	4.98770i	0.161235	−	0.178132i
$785$	1.76455	−	7.42989i	0.0629795	−	0.265184i
$786$	−28.9015	−	42.1109i	−1.03088	−	1.50205i
$787$	9.86783	+	4.08739i	0.351750	+	0.145700i	0.551561	−	0.834135i	$-0.314033\pi$
$787$	9.86783	+	4.08739i	0.351750	+	0.145700i	−0.199810	+	0.979835i	$0.564033\pi$
$788$	27.3211	−	0.679730i	0.973274	−	0.0242144i
$789$	−10.9602	+	4.53986i	−0.390193	+	0.161623i
$790$	−38.6737	−	0.943326i	−1.37595	−	0.0335620i
$791$	−6.70073	−	6.70073i	−0.238250	−	0.238250i
$792$	−1.55785	+	1.12719i	−0.0553560	+	0.0400530i
$793$	−7.86590	−	7.86590i	−0.279326	−	0.279326i
$794$	14.1444	−	21.7494i	0.501967	−	0.771857i
$795$	4.55341	−	0.732610i	0.161493	−	0.0259830i
$796$	0.908259	−	0.402963i	0.0321924	−	0.0142826i
$797$	−8.57791	+	20.7089i	−0.303845	+	0.733548i	0.696034	+	0.718009i	$0.254946\pi$
$797$	−8.57791	+	20.7089i	−0.303845	+	0.733548i	−0.999879	+	0.0155386i	$0.995054\pi$
$798$	−27.3918	−	5.09527i	−0.969659	−	0.180371i
$799$	−50.6279			−1.79109
$800$	−15.9824	+	23.3358i	−0.565065	+	0.825047i
$801$	−2.56902			−0.0907720
$802$	20.9670	+	3.90017i	0.740371	+	0.137720i
$803$	−7.63846	+	18.4409i	−0.269555	+	0.650764i
$804$	−7.77147	−	17.5165i	−0.274079	−	0.617760i
$805$	−2.41157	+	0.388003i	−0.0849966	+	0.0136753i
$806$	10.9282	−	16.8039i	0.384929	−	0.591892i
$807$	1.09886	+	1.09886i	0.0386818	+	0.0386818i
$808$	−27.7451	−	4.45012i	−0.976069	−	0.156555i
$809$	1.83463	+	1.83463i	0.0645022	+	0.0645022i	0.738622	−	0.674120i	$-0.235477\pi$
$809$	1.83463	+	1.83463i	0.0645022	+	0.0645022i	−0.674120	+	0.738622i	$0.735477\pi$
$810$	−26.8300	−	0.654435i	−0.942709	−	0.0229945i
$811$	8.26845	−	3.42490i	0.290344	−	0.120265i	−0.232757	−	0.972535i	$-0.574775\pi$
$811$	8.26845	−	3.42490i	0.290344	−	0.120265i	0.523102	+	0.852270i	$0.324775\pi$
$812$	0.00207736	+	0.0834975i	7.29010e−5	+	0.00293019i
$813$	−40.2116	−	16.6562i	−1.41028	−	0.584158i
$814$	−6.63198	−	9.66310i	−0.232451	−	0.338692i
$815$	6.04564	−	25.4560i	0.211770	−	0.891686i
$816$	39.1118	−	18.5301i	1.36919	−	0.648685i
$817$	−35.8295			−1.25351
$818$	−0.752427	−	1.09632i	−0.0263080	−	0.0383320i
$819$	0.699081	−	1.68773i	0.0244279	−	0.0589740i
$820$	25.2679	+	38.8122i	0.882393	+	1.35538i
$821$	44.9028	−	18.5993i	1.56712	−	0.649122i	0.580811	−	0.814038i	$-0.302736\pi$
$821$	44.9028	−	18.5993i	1.56712	−	0.649122i	0.986308	+	0.164917i	$0.0527355\pi$
$822$	−4.87657	+	1.03322i	−0.170090	+	0.0360377i
$823$	−7.54890	+	7.54890i	−0.263138	+	0.263138i	−0.826328	−	0.563189i	$-0.809574\pi$
$823$	−7.54890	+	7.54890i	−0.263138	+	0.263138i	0.563189	+	0.826328i	$0.309574\pi$
$824$	−1.33247	+	0.317140i	−0.0464189	+	0.0110481i
$825$	−11.0695	−	33.5099i	−0.385391	−	1.16666i
$826$	7.67731	+	4.99283i	0.267128	+	0.173723i
$827$	−4.52001	+	1.87225i	−0.157176	+	0.0651045i	−0.459885	−	0.887979i	$-0.652109\pi$
$827$	−4.52001	+	1.87225i	−0.157176	+	0.0651045i	0.302708	+	0.953083i	$0.402109\pi$
$828$	0.143433	+	0.0552738i	0.00498465	+	0.00192090i
$829$	−5.94019	−	2.46051i	−0.206311	−	0.0854569i	0.277135	−	0.960831i	$-0.410615\pi$
$829$	−5.94019	−	2.46051i	−0.206311	−	0.0854569i	−0.483446	+	0.875374i	$0.660615\pi$
$830$	−6.54983	+	14.7824i	−0.227348	+	0.513105i
$831$	55.4901			1.92493
$832$	−2.91181	−	38.9481i	−0.100949	−	1.35028i
$833$			10.8025i			0.374285i
$834$	5.50774	+	1.02452i	0.190718	+	0.0354762i
$835$	−25.9608	−	18.7648i	−0.898411	−	0.649383i
$836$	−15.2815	+	39.6547i	−0.528521	+	1.37149i
$837$	14.2883	−	5.91841i	0.493876	−	0.204570i
$838$	8.00727	−	12.3125i	0.276606	−	0.425328i
$839$	−32.1672	+	32.1672i	−1.11054	+	1.11054i	−0.117458	+	0.993078i	$0.537474\pi$
$839$	−32.1672	+	32.1672i	−1.11054	+	1.11054i	−0.993078	+	0.117458i	$0.962526\pi$
$840$	0.0119669	+	24.5695i	0.000412896	+	0.847728i
$841$	−20.5059	−	20.5059i	−0.707099	−	0.707099i
$842$	−17.1808	+	3.64017i	−0.592089	+	0.125448i
$843$	8.26124	+	19.9444i	0.284532	+	0.686921i
$844$	−12.9807	+	13.6431i	−0.446814	+	0.469615i
$845$	−19.6352	−	14.1925i	−0.675470	−	0.488238i
$846$	−1.49129	+	1.02350i	−0.0512715	+	0.0351887i
$847$	−15.1175			−0.519445
$848$	−1.64687	+	4.61231i	−0.0565538	+	0.158387i
$849$			37.8092i			1.29761i
$850$	−6.11891	−	45.0030i	−0.209877	−	1.54359i
$851$	−0.358535	+	0.865580i	−0.0122904	+	0.0296717i
$852$	0.404841	+	16.2722i	0.0138696	+	0.557476i
$853$	−8.32058	−	20.0877i	−0.284891	−	0.687788i	0.715045	−	0.699078i	$-0.246406\pi$
$853$	−8.32058	−	20.0877i	−0.284891	−	0.687788i	−0.999936	+	0.0112902i	$0.996406\pi$
$854$	−7.26970	+	1.54026i	−0.248764	+	0.0527067i
$855$	1.56648	−	0.965219i	0.0535726	−	0.0330098i
$856$	−26.0548	−	4.17900i	−0.890534	−	0.142835i
$857$	18.6590	+	18.6590i	0.637380	+	0.637380i	0.949908	−	0.312529i	$-0.101176\pi$
$857$	18.6590	+	18.6590i	0.637380	+	0.637380i	−0.312529	+	0.949908i	$0.601176\pi$
$858$	40.8527	+	26.5680i	1.39469	+	0.907016i
$859$	−2.87184	−	6.93324i	−0.0979860	−	0.236559i	0.867284	−	0.497814i	$-0.165864\pi$
$859$	−2.87184	−	6.93324i	−0.0979860	−	0.236559i	−0.965270	+	0.261255i	$0.915864\pi$
$860$	5.79329	+	31.0602i	0.197550	+	1.05914i
$861$	37.1677	+	15.3954i	1.26667	+	0.524672i
$862$	−16.7405	−	3.11397i	−0.570183	−	0.106062i
$863$		−	30.0002i		−	1.02122i	−0.859813	−	0.510610i	$-0.829420\pi$
$863$		−	30.0002i		−	1.02122i	0.859813	−	0.510610i	$-0.170580\pi$
$864$	15.1522	−	26.0476i	0.515487	−	0.886157i
$865$	33.7903	+	8.02498i	1.14890	+	0.272857i
$866$	2.49044	−	13.3884i	0.0846284	−	0.454956i
$867$	−15.6355	+	37.7475i	−0.531010	+	1.28197i
$868$	−5.43036	−	12.2398i	−0.184318	−	0.415445i
$869$	19.6151	+	47.3550i	0.665396	+	1.60641i
$870$	0.0665297	+	0.0698564i	0.00225557	+	0.00236836i
$871$	19.6354	−	19.6354i	0.665321	−	0.665321i
$872$	25.7996	+	35.6567i	0.873684	+	1.20749i
$873$	−1.30765	+	1.30765i	−0.0442572	+	0.0442572i
$874$	3.32345	−	0.704154i	0.112418	−	0.0238184i
$875$	24.5790	+	7.78728i	0.830921	+	0.263258i
$876$	−0.399191	−	16.0451i	−0.0134874	−	0.542114i
$877$	−2.96805	−	1.22941i	−0.100224	−	0.0415141i	0.332008	−	0.943277i	$-0.392274\pi$
$877$	−2.96805	−	1.22941i	−0.100224	−	0.0415141i	−0.432232	+	0.901762i	$0.642274\pi$
$878$	31.6757	−	21.7397i	1.06900	−	0.733678i
$879$			4.87769i			0.164520i
$880$	36.8471	+	6.83553i	1.24212	+	0.230426i
$881$		−	49.1768i		−	1.65681i	−0.560132	−	0.828404i	$-0.689250\pi$
$881$		−	49.1768i		−	1.65681i	0.560132	−	0.828404i	$-0.310750\pi$
$882$	0.218385	+	0.318197i	0.00735340	+	0.0107142i
$883$	20.1994	+	8.36685i	0.679763	+	0.281567i	0.695728	−	0.718306i	$-0.255082\pi$
$883$	20.1994	+	8.36685i	0.679763	+	0.281567i	−0.0159651	+	0.999873i	$0.505082\pi$
$884$	45.4353	+	43.2294i	1.52815	+	1.45396i
$885$	10.4431	−	1.68022i	0.351041	−	0.0564798i
$886$	−1.86419	−	8.79858i	−0.0626288	−	0.295594i
$887$	−21.8069	+	21.8069i	−0.732203	+	0.732203i	−0.971056	−	0.238853i	$-0.923229\pi$
$887$	−21.8069	+	21.8069i	−0.732203	+	0.732203i	0.238853	+	0.971056i	$0.423229\pi$
$888$	8.02569	+	4.93980i	0.269324	+	0.165769i
$889$	3.89002	−	3.89002i	0.130467	−	0.130467i
$890$	34.5301	+	36.2567i	1.15745	+	1.21533i
$891$	13.6080	+	32.8527i	0.455886	+	1.10061i
$892$	8.58760	−	22.2845i	0.287534	−	0.746139i
$893$	−15.2975	+	36.9315i	−0.511912	+	1.23587i
$894$	−22.3503	−	4.15748i	−0.747506	−	0.139047i
$895$	−1.02287	+	4.30692i	−0.0341906	+	0.143964i
$896$	−22.8718	−	12.5540i	−0.764092	−	0.419401i
$897$		−	3.89562i		−	0.130071i
$898$	1.23986	−	6.66539i	0.0413746	−	0.222427i
$899$	−0.0485730	−	0.0201196i	−0.00162000	−	0.000671026i
$900$	−1.09002	−	1.20190i	−0.0363341	−	0.0400633i
$901$	−3.00946	−	7.26548i	−0.100260	−	0.242048i
$902$	33.4541	−	51.4412i	1.11390	−	1.71281i
$903$	19.4073	+	19.4073i	0.645836	+	0.645836i
$904$	6.09217	−	9.89796i	0.202623	−	0.329201i
$905$	36.2669	−	22.3466i	1.20555	−	0.742826i
$906$	−1.97370	−	9.31541i	−0.0655717	−	0.309484i
$907$	−12.9802	−	31.3371i	−0.431002	−	1.04053i	−0.978965	−	0.204028i	$-0.934597\pi$
$907$	−12.9802	−	31.3371i	−0.431002	−	1.04053i	0.547963	−	0.836502i	$-0.315403\pi$
$908$	28.0848	−	29.5179i	0.932028	−	0.979588i
$909$	0.616877	−	1.48927i	0.0204605	−	0.0493960i
$910$	−33.2153	+	12.8185i	−1.10108	+	0.424930i
$911$		−	27.1888i		−	0.900804i	−0.892826	−	0.450402i	$-0.851281\pi$
$911$		−	27.1888i		−	0.900804i	0.892826	−	0.450402i	$-0.148719\pi$
$912$	−1.69931	−	34.1299i	−0.0562697	−	1.13015i
$913$	21.4228			0.708990
$914$	9.07164	+	13.2178i	0.300063	+	0.437206i
$915$	−5.02784	+	6.95594i	−0.166215	+	0.229956i
$916$	1.28083	+	51.4817i	0.0423198	+	1.70100i
$917$	−18.9201	−	45.6772i	−0.624797	−	1.50839i
$918$	10.0294	+	47.3366i	0.331020	+	1.56234i
$919$	19.2086	+	19.2086i	0.633635	+	0.633635i	0.948978	−	0.315343i	$-0.102120\pi$
$919$	19.2086	+	19.2086i	0.633635	+	0.633635i	−0.315343	+	0.948978i	$0.602120\pi$
$920$	−1.14780	−	2.76721i	−0.0378417	−	0.0912322i
$921$	−34.5787	+	34.5787i	−1.13941	+	1.13941i
$922$	−6.77623	−	4.40683i	−0.223163	−	0.145131i
$923$	−21.7914	+	9.02629i	−0.717272	+	0.297104i
$924$	29.7567	−	13.2020i	0.978923	−	0.434314i
$925$	7.48858	−	6.45947i	0.246223	−	0.212386i
$926$	7.41954	−	39.8869i	0.243821	−	1.31077i
$927$		−	0.0785743i		−	0.00258072i
$928$	−0.0990362	+	0.0261905i	−0.00325102	+	0.000859744i
$929$	−42.2337			−1.38564			−0.692822	−	0.721109i	$-0.743633\pi$
$929$	−42.2337			−1.38564			−0.692822	+	0.721109i	$0.743633\pi$
$930$	−14.1398	−	6.26511i	−0.463663	−	0.205441i
$931$	7.88010	+	3.26404i	0.258260	+	0.106975i
$932$	−23.5988	+	10.4700i	−0.773006	+	0.342956i
$933$	−32.4564	+	13.4439i	−1.06258	+	0.440133i
$934$	9.32401	−	14.3372i	0.305091	−	0.469128i
$935$	−51.2316	+	31.5674i	−1.67545	+	1.03236i
$936$	2.21226	+	0.354831i	0.0723101	+	0.0115980i
$937$	−11.3760	+	11.3760i	−0.371637	+	0.371637i	−0.868073	−	0.496436i	$-0.834642\pi$
$937$	−11.3760	+	11.3760i	−0.371637	+	0.371637i	0.496436	+	0.868073i	$0.334642\pi$
$938$	−3.84491	−	18.1471i	−0.125541	−	0.592525i
$939$	−34.8959	+	14.4544i	−1.13878	+	0.471700i
$940$	34.4890	+	7.28978i	1.12491	+	0.237766i
$941$	9.44525	−	22.8028i	0.307906	−	0.743351i	−0.691866	−	0.722026i	$-0.743211\pi$
$941$	9.44525	−	22.8028i	0.307906	−	0.743351i	0.999773	−	0.0213258i	$-0.00678873\pi$
$942$	6.70814	−	4.60393i	0.218563	−	0.150004i
$943$	−4.90533			−0.159739
$944$	−3.77704	+	10.5782i	−0.122932	+	0.344290i
$945$	−26.7260	−	6.34725i	−0.869396	−	0.206476i
$946$	34.5163	−	23.6892i	1.12222	−	0.770203i
$947$	2.97463	+	1.23213i	0.0966625	+	0.0400389i	0.430491	−	0.902595i	$-0.358341\pi$
$947$	2.97463	+	1.23213i	0.0966625	+	0.0400389i	−0.333828	+	0.942634i	$0.608341\pi$
$948$	−29.8596	−	28.4099i	−0.969796	−	0.922711i
$949$	21.4873	−	8.90033i	0.697507	−	0.288917i
$950$	−34.6772	−	9.13436i	−1.12508	−	0.296358i
$951$	2.20067	+	2.20067i	0.0713615	+	0.0713615i
$952$	40.7562	−	9.70030i	1.32092	−	0.314389i
$953$	5.25183	+	5.25183i	0.170123	+	0.170123i	0.787034	−	0.616910i	$-0.211616\pi$
$953$	5.25183	+	5.25183i	0.170123	+	0.170123i	−0.616910	+	0.787034i	$0.711616\pi$
$954$	−0.235526	−	0.153171i	−0.00762543	−	0.00495910i
$955$	−29.4923	+	4.74509i	−0.954349	+	0.153548i
$956$	−21.1722	+	54.9409i	−0.684758	+	1.77692i
$957$	0.0489136	−	0.118088i	0.00158115	−	0.00381724i
$958$	−6.75885	+	36.3351i	−0.218368	+	1.17393i
$959$	−4.82534			−0.155818
$960$	−29.3120	+	6.99159i	−0.946042	+	0.225653i
$961$	−22.5713			−0.728105
$962$	−2.49740	+	13.4259i	−0.0805195	+	0.432867i
$963$	0.579294	−	1.39854i	0.0186675	−	0.0450673i
$964$	16.0173	−	41.5642i	0.515883	−	1.33869i
$965$	−2.09763	−	13.0375i	−0.0675251	−	0.419691i
$966$	−2.18159	−	1.41877i	−0.0701915	−	0.0456480i
$967$	43.3867	+	43.3867i	1.39522	+	1.39522i	0.813106	+	0.582116i	$0.197775\pi$
$967$	43.3867	+	43.3867i	1.39522	+	1.39522i	0.582116	+	0.813106i	$0.302225\pi$
$968$	−4.29312	−	18.0377i	−0.137986	−	0.579754i
$969$	38.7999	+	38.7999i	1.24643	+	1.24643i
$970$	36.0309	+	0.878864i	1.15688	+	0.0282186i
$971$	−28.2822	+	11.7149i	−0.907620	+	0.375949i	−0.787145	−	0.616768i	$-0.788442\pi$
$971$	−28.2822	+	11.7149i	−0.907620	+	0.375949i	−0.120475	+	0.992716i	$0.538442\pi$
$972$	2.44051	+	2.32203i	0.0782795	+	0.0744790i
$973$	5.01018	+	2.07529i	0.160619	+	0.0665306i
$974$	22.9994	−	15.7849i	0.736947	−	0.505781i
$975$	−18.4891	+	36.7299i	−0.592124	+	1.17630i
$976$	−3.90225	−	8.23653i	−0.124908	−	0.263645i
$977$	−4.33848			−0.138800			−0.0694002	−	0.997589i	$-0.522109\pi$
$977$	−4.33848			−0.138800			−0.0694002	+	0.997589i	$0.522109\pi$
$978$	22.9832	−	15.7738i	0.734922	−	0.504392i
$979$	25.3870	−	61.2897i	0.811373	−	1.95883i
$980$	1.55542	−	7.35894i	0.0496862	−	0.235073i
$981$	−2.33259	+	0.966192i	−0.0744740	+	0.0308481i
$982$	10.6682	+	50.3517i	0.340437	+	1.60679i
$983$	12.0547	−	12.0547i	0.384485	−	0.384485i	−0.488230	−	0.872715i	$-0.662357\pi$
$983$	12.0547	−	12.0547i	0.384485	−	0.384485i	0.872715	+	0.488230i	$0.162357\pi$
$984$	−7.81420	+	48.7191i	−0.249108	+	1.55311i
$985$	26.0136	−	16.0288i	0.828863	−	0.510720i
$986$	0.0896792	−	0.137897i	0.00285597	−	0.00439153i
$987$	28.2903	−	11.7182i	0.900491	−	0.372995i
$988$	45.2631	−	20.0816i	1.44001	−	0.638882i
$989$	−3.09182	−	1.28067i	−0.0983142	−	0.0407231i
$990$	−0.870899	+	1.96555i	−0.0276790	+	0.0624692i
$991$	−37.0096			−1.17565			−0.587824	−	0.808989i	$-0.700015\pi$
$991$	−37.0096			−1.17565			−0.587824	+	0.808989i	$0.700015\pi$
$992$	13.0619	−	9.95520i	0.414717	−	0.316078i
$993$			17.1752i			0.545039i
$994$	−2.88150	+	15.4907i	−0.0913956	+	0.491336i
$995$	0.650782	−	0.900347i	0.0206312	−	0.0285429i
$996$	−15.7459	+	6.98592i	−0.498929	+	0.221357i
$997$	−20.9455	+	8.67591i	−0.663351	+	0.274769i	−0.688848	−	0.724906i	$-0.741883\pi$
$997$	−20.9455	+	8.67591i	−0.663351	+	0.274769i	0.0254970	+	0.999675i	$0.491883\pi$
$998$	3.91061	+	2.54321i	0.123788	+	0.0805040i
$999$	−7.45034	+	7.45034i	−0.235718	+	0.235718i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	160.2.z.a.29.11	✓	88
4.3	odd	2		640.2.z.a.209.17		88
5.2	odd	4		800.2.y.f.701.1		88
5.3	odd	4		800.2.y.f.701.22		88
5.4	even	2	inner	160.2.z.a.29.12	yes	88
20.19	odd	2		640.2.z.a.209.6		88
32.11	odd	8		640.2.z.a.49.6		88
32.21	even	8	inner	160.2.z.a.149.12	yes	88
160.53	odd	8		800.2.y.f.501.22		88
160.117	odd	8		800.2.y.f.501.1		88
160.139	odd	8		640.2.z.a.49.17		88
160.149	even	8	inner	160.2.z.a.149.11	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
160.2.z.a.29.11	✓	88	1.1	even	1	trivial
160.2.z.a.29.12	yes	88	5.4	even	2	inner
160.2.z.a.149.11	yes	88	160.149	even	8	inner
160.2.z.a.149.12	yes	88	32.21	even	8	inner
640.2.z.a.49.6		88	32.11	odd	8
640.2.z.a.49.17		88	160.139	odd	8
640.2.z.a.209.6		88	20.19	odd	2
640.2.z.a.209.17		88	4.3	odd	2
800.2.y.f.501.1		88	160.117	odd	8
800.2.y.f.501.22		88	160.53	odd	8
800.2.y.f.701.1		88	5.2	odd	4
800.2.y.f.701.22		88	5.3	odd	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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 160 = 2^{5} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	160.z (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.258628 + 1.39036i) q^{2} +(-0.644653 + 1.55633i) q^{3} +(-1.86622 - 0.719173i) q^{4} +(-2.20768 + 0.355198i) q^{5} +(-1.99714 - 1.29881i) q^{6} +(-1.63067 - 1.63067i) q^{7} +(1.48257 - 2.40873i) q^{8} +(0.114733 + 0.114733i) q^{9} +O(q^{10})\)	\(q+(-0.258628 + 1.39036i) q^{2} +(-0.644653 + 1.55633i) q^{3} +(-1.86622 - 0.719173i) q^{4} +(-2.20768 + 0.355198i) q^{5} +(-1.99714 - 1.29881i) q^{6} +(-1.63067 - 1.63067i) q^{7} +(1.48257 - 2.40873i) q^{8} +(0.114733 + 0.114733i) q^{9} +(0.0771112 - 3.16134i) q^{10} +(-3.87098 + 1.60341i) q^{11} +(2.32234 - 2.44084i) q^{12} +(4.51047 + 1.86830i) q^{13} +(2.68895 - 1.84548i) q^{14} +(0.870379 - 3.66485i) q^{15} +(2.96558 + 2.68428i) q^{16} -6.42294 q^{17} +(-0.189193 + 0.129847i) q^{18} +(-1.94073 + 4.68534i) q^{19} +(4.37547 + 0.924822i) q^{20} +(3.58907 - 1.48664i) q^{21} +(-1.22818 - 5.79676i) q^{22} +(-0.334942 + 0.334942i) q^{23} +(2.79304 + 3.86017i) q^{24} +(4.74767 - 1.56833i) q^{25} +(-3.76414 + 5.78800i) q^{26} +(-4.92152 + 2.03856i) q^{27} +(1.87045 + 4.21592i) q^{28} +(0.0167307 + 0.00693007i) q^{29} +(4.87038 + 2.15798i) q^{30} -2.90323 q^{31} +(-4.49910 + 3.42901i) q^{32} -7.05817i q^{33} +(1.66115 - 8.93022i) q^{34} +(4.17919 + 3.02077i) q^{35} +(-0.131604 - 0.296629i) q^{36} +(1.82735 - 0.756915i) q^{37} +(-6.01240 - 3.91008i) q^{38} +(-5.81537 + 5.81537i) q^{39} +(-2.41746 + 5.84431i) q^{40} +(7.32266 + 7.32266i) q^{41} +(1.13874 + 5.37460i) q^{42} +(2.70367 + 6.52725i) q^{43} +(8.37725 - 0.208420i) q^{44} +(-0.294045 - 0.212540i) q^{45} +(-0.379066 - 0.552316i) q^{46} +7.88236 q^{47} +(-6.08939 + 2.88500i) q^{48} -1.68186i q^{49} +(0.952666 + 7.00660i) q^{50} +(4.14057 - 9.99622i) q^{51} +(-7.07391 - 6.73046i) q^{52} +(0.468548 + 1.13118i) q^{53} +(-1.56150 - 7.36993i) q^{54} +(7.97634 - 4.91478i) q^{55} +(-6.34541 + 1.51026i) q^{56} +(-6.04084 - 6.04084i) q^{57} +(-0.0139623 + 0.0214694i) q^{58} +(1.07460 + 2.59431i) q^{59} +(-4.25999 + 6.21348i) q^{60} +(-2.10510 - 0.871960i) q^{61} +(0.750856 - 4.03655i) q^{62} -0.374181i q^{63} +(-3.60397 - 7.14222i) q^{64} +(-10.6213 - 2.52248i) q^{65} +(9.81343 + 1.82544i) q^{66} +(2.17665 - 5.25490i) q^{67} +(11.9866 + 4.61921i) q^{68} +(-0.305359 - 0.737202i) q^{69} +(-5.28082 + 5.02934i) q^{70} +(-3.41624 + 3.41624i) q^{71} +(0.446459 - 0.106261i) q^{72} +(3.36857 - 3.36857i) q^{73} +(0.579782 + 2.73645i) q^{74} +(-0.619765 + 8.39997i) q^{75} +(6.99141 - 7.34817i) q^{76} +(8.92690 + 3.69764i) q^{77} +(-6.58147 - 9.58950i) q^{78} -12.2333i q^{79} +(-7.50049 - 4.87264i) q^{80} -8.48690i q^{81} +(-12.0750 + 8.28731i) q^{82} +(-4.72373 - 1.95663i) q^{83} +(-7.76715 + 0.193241i) q^{84} +(14.1798 - 2.28142i) q^{85} +(-9.77450 + 2.07096i) q^{86} +(-0.0215710 + 0.0215710i) q^{87} +(-1.87681 + 11.7013i) q^{88} +(-11.1957 + 11.1957i) q^{89} +(0.371556 - 0.353861i) q^{90} +(-4.30849 - 10.4016i) q^{91} +(0.865958 - 0.384195i) q^{92} +(1.87158 - 4.51839i) q^{93} +(-2.03860 + 10.9593i) q^{94} +(2.62028 - 11.0331i) q^{95} +(-2.43631 - 9.21261i) q^{96} +11.3974i q^{97} +(2.33840 + 0.434976i) q^{98} +(-0.628091 - 0.260164i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 8 q^{4} - 4 q^{5} - 8 q^{6} - 8 q^{9}+O(q^{10}) \) 88 * q - 8 * q^4 - 4 * q^5 - 8 * q^6 - 8 * q^9	\( 88 q - 8 q^{4} - 4 q^{5} - 8 q^{6} - 8 q^{9} - 4 q^{10} - 8 q^{11} - 24 q^{14} - 8 q^{16} - 8 q^{19} - 4 q^{20} - 8 q^{21} - 16 q^{24} - 4 q^{25} + 32 q^{26} - 8 q^{29} - 52 q^{30} - 64 q^{31} - 24 q^{34} + 20 q^{35} + 72 q^{36} - 8 q^{39} - 56 q^{40} - 8 q^{41} - 8 q^{44} - 16 q^{45} - 8 q^{46} - 44 q^{50} - 48 q^{51} + 24 q^{54} + 28 q^{55} - 56 q^{56} + 24 q^{59} + 32 q^{60} + 24 q^{61} + 64 q^{64} - 8 q^{65} - 8 q^{66} - 40 q^{69} + 80 q^{70} - 40 q^{71} + 128 q^{74} + 28 q^{75} - 8 q^{76} + 48 q^{80} + 200 q^{84} - 24 q^{85} + 24 q^{86} - 8 q^{89} + 80 q^{90} - 8 q^{91} + 120 q^{94} - 8 q^{95} - 56 q^{96} - 48 q^{99}+O(q^{100}) \) 88 * q - 8 * q^4 - 4 * q^5 - 8 * q^6 - 8 * q^9 - 4 * q^10 - 8 * q^11 - 24 * q^14 - 8 * q^16 - 8 * q^19 - 4 * q^20 - 8 * q^21 - 16 * q^24 - 4 * q^25 + 32 * q^26 - 8 * q^29 - 52 * q^30 - 64 * q^31 - 24 * q^34 + 20 * q^35 + 72 * q^36 - 8 * q^39 - 56 * q^40 - 8 * q^41 - 8 * q^44 - 16 * q^45 - 8 * q^46 - 44 * q^50 - 48 * q^51 + 24 * q^54 + 28 * q^55 - 56 * q^56 + 24 * q^59 + 32 * q^60 + 24 * q^61 + 64 * q^64 - 8 * q^65 - 8 * q^66 - 40 * q^69 + 80 * q^70 - 40 * q^71 + 128 * q^74 + 28 * q^75 - 8 * q^76 + 48 * q^80 + 200 * q^84 - 24 * q^85 + 24 * q^86 - 8 * q^89 + 80 * q^90 - 8 * q^91 + 120 * q^94 - 8 * q^95 - 56 * q^96 - 48 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more