LMFDB - Embedded newform 504.2.cq.a.277.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(277,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

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

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

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

chi := DirichletCharacter("504.277");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.cq (of order $6$, degree $2$, 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:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$92$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			277.11
Character	$\chi$	$=$	504.277
Dual form			504.2.cq.a.373.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.28938 - 0.580936i) q^{2} +(1.21975 - 1.22972i) q^{3} +(1.32503 + 1.49810i) q^{4} +(3.55178 + 2.05062i) q^{5} +(-2.28712 + 0.876982i) q^{6} +(2.40176 + 1.10974i) q^{7} +(-0.838168 - 2.70138i) q^{8} +(-0.0244139 - 2.99990i) q^{9} +O(q^{10})$	\(q+(-1.28938 - 0.580936i) q^{2} +(1.21975 - 1.22972i) q^{3} +(1.32503 + 1.49810i) q^{4} +(3.55178 + 2.05062i) q^{5} +(-2.28712 + 0.876982i) q^{6} +(2.40176 + 1.10974i) q^{7} +(-0.838168 - 2.70138i) q^{8} +(-0.0244139 - 2.99990i) q^{9} +(-3.38833 - 4.70739i) q^{10} +(-2.22289 + 1.28338i) q^{11} +(3.45844 + 0.197901i) q^{12} +(1.51275 - 0.873386i) q^{13} +(-2.45211 - 2.82616i) q^{14} +(6.85397 - 1.86644i) q^{15} +(-0.488611 + 3.97005i) q^{16} +(-0.415306 + 0.719330i) q^{17} +(-1.71127 + 3.88221i) q^{18} +(-1.18137 + 0.682065i) q^{19} +(1.63416 + 8.03804i) q^{20} +(4.29423 - 1.59988i) q^{21} +(3.61172 - 0.363421i) q^{22} +(-3.11995 + 5.40392i) q^{23} +(-4.34430 - 2.26431i) q^{24} +(5.91008 + 10.2366i) q^{25} +(-2.45790 + 0.247320i) q^{26} +(-3.71881 - 3.62911i) q^{27} +(1.51989 + 5.06852i) q^{28} +(-5.13520 - 2.96481i) q^{29} +(-9.92168 - 1.57516i) q^{30} -4.33751 q^{31} +(2.93635 - 4.83506i) q^{32} +(-1.13317 + 4.29894i) q^{33} +(0.953374 - 0.686228i) q^{34} +(6.25487 + 8.86666i) q^{35} +(4.46180 - 4.01152i) q^{36} +(10.3091 - 5.95197i) q^{37} +(1.91948 - 0.193143i) q^{38} +(0.771158 - 2.92557i) q^{39} +(2.56253 - 11.3135i) q^{40} +(-2.58219 - 4.47249i) q^{41} +(-6.46634 - 0.431807i) q^{42} +(-1.55028 - 0.895057i) q^{43} +(-4.86802 - 1.62959i) q^{44} +(6.06494 - 10.7050i) q^{45} +(7.16216 - 5.15524i) q^{46} -7.29139 q^{47} +(4.28605 + 5.44332i) q^{48} +(4.53694 + 5.33068i) q^{49} +(-1.67358 - 16.6322i) q^{50} +(0.378004 + 1.38811i) q^{51} +(3.31285 + 1.10899i) q^{52} +(-5.83416 - 3.36835i) q^{53} +(2.68670 + 6.83971i) q^{54} -10.5269 q^{55} +(0.984761 - 7.41824i) q^{56} +(-0.602231 + 2.28470i) q^{57} +(4.89889 + 6.80601i) q^{58} -10.9216i q^{59} +(11.8778 + 7.79485i) q^{60} -8.04219i q^{61} +(5.59272 + 2.51981i) q^{62} +(3.27048 - 7.23215i) q^{63} +(-6.59495 + 4.52843i) q^{64} +7.16392 q^{65} +(3.95850 - 4.88468i) q^{66} +0.171966i q^{67} +(-1.62792 + 0.330962i) q^{68} +(2.83973 + 10.4281i) q^{69} +(-2.91397 - 15.0662i) q^{70} +7.11476 q^{71} +(-8.08342 + 2.58037i) q^{72} +(0.941118 - 1.63006i) q^{73} +(-16.7501 + 1.68544i) q^{74} +(19.7969 + 5.21832i) q^{75} +(-2.58715 - 0.866059i) q^{76} +(-6.76308 + 0.615553i) q^{77} +(-2.69389 + 3.32419i) q^{78} +5.87381 q^{79} +(-9.87649 + 13.0988i) q^{80} +(-8.99881 + 0.146479i) q^{81} +(0.731209 + 7.26684i) q^{82} +(-6.17958 - 3.56778i) q^{83} +(8.08675 + 4.31330i) q^{84} +(-2.95015 + 1.70327i) q^{85} +(1.47894 + 2.05469i) q^{86} +(-9.90955 + 2.69852i) q^{87} +(5.33007 + 4.92918i) q^{88} +(6.09771 + 10.5615i) q^{89} +(-14.0390 + 10.2796i) q^{90} +(4.60250 - 0.418904i) q^{91} +(-12.2296 + 2.48633i) q^{92} +(-5.29068 + 5.33391i) q^{93} +(9.40140 + 4.23583i) q^{94} -5.59462 q^{95} +(-2.36415 - 9.50846i) q^{96} +(-1.52251 + 2.63706i) q^{97} +(-2.75308 - 9.50897i) q^{98} +(3.90430 + 6.63711i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) $ 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	$ 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} + 16 q^{12} - 4 q^{14} - 2 q^{15} - 2 q^{16} - 4 q^{17} - 14 q^{18} + 6 q^{20} + 2 q^{22} + 2 q^{23} + 12 q^{24} + 78 q^{25} - 4 q^{26} - 8 q^{28} - 9 q^{30} - 4 q^{31} - 2 q^{32} - 14 q^{33} - 18 q^{36} - 5 q^{38} + 4 q^{39} - 4 q^{40} - 4 q^{41} - 12 q^{42} + 17 q^{44} - 6 q^{46} - 84 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} + 9 q^{52} - q^{54} + 4 q^{55} - 16 q^{56} - 20 q^{57} + 5 q^{58} + 17 q^{60} + 32 q^{62} + 8 q^{63} - 8 q^{64} - 44 q^{65} - 56 q^{66} - 12 q^{68} + 5 q^{70} - 16 q^{71} + 36 q^{72} - 4 q^{73} + 19 q^{74} - 6 q^{76} - 47 q^{78} - 4 q^{79} - 11 q^{80} - 18 q^{81} - 65 q^{84} - 23 q^{86} - 14 q^{87} - 7 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} - 18 q^{94} - 44 q^{95} + 95 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) $ 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 + 16 * q^12 - 4 * q^14 - 2 * q^15 - 2 * q^16 - 4 * q^17 - 14 * q^18 + 6 * q^20 + 2 * q^22 + 2 * q^23 + 12 * q^24 + 78 * q^25 - 4 * q^26 - 8 * q^28 - 9 * q^30 - 4 * q^31 - 2 * q^32 - 14 * q^33 - 18 * q^36 - 5 * q^38 + 4 * q^39 - 4 * q^40 - 4 * q^41 - 12 * q^42 + 17 * q^44 - 6 * q^46 - 84 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 + 9 * q^52 - q^54 + 4 * q^55 - 16 * q^56 - 20 * q^57 + 5 * q^58 + 17 * q^60 + 32 * q^62 + 8 * q^63 - 8 * q^64 - 44 * q^65 - 56 * q^66 - 12 * q^68 + 5 * q^70 - 16 * q^71 + 36 * q^72 - 4 * q^73 + 19 * q^74 - 6 * q^76 - 47 * q^78 - 4 * q^79 - 11 * q^80 - 18 * q^81 - 65 * q^84 - 23 * q^86 - 14 * q^87 - 7 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 - 18 * q^94 - 44 * q^95 + 95 * q^96 - 4 * q^97 - 83 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$1$	$-1$	$e\left(\frac{2}{3}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.28938	−	0.580936i	−0.911733	−	0.410784i
$2$	−1.28938	−	0.580936i	−0.911733	−	0.410784i
$3$	1.21975	−	1.22972i	0.704224	−	0.709978i
$3$	1.21975	−	1.22972i	0.704224	−	0.709978i
$4$	1.32503	+	1.49810i	0.662513	+	0.749050i
$5$	3.55178	+	2.05062i	1.58840	+	0.917065i	0.993571	+	0.113215i	$0.0361149\pi$
$5$	3.55178	+	2.05062i	1.58840	+	0.917065i	0.594832	+	0.803850i	$0.297218\pi$
$6$	−2.28712	+	0.876982i	−0.933711	+	0.358027i
$7$	2.40176	+	1.10974i	0.907781	+	0.419443i
$7$	2.40176	+	1.10974i	0.907781	+	0.419443i
$8$	−0.838168	−	2.70138i	−0.296337	−	0.955083i
$9$	−0.0244139	−	2.99990i	−0.00813798	−	0.999967i
$10$	−3.38833	−	4.70739i	−1.07148	−	1.48861i
$11$	−2.22289	+	1.28338i	−0.670226	+	0.386955i	−0.796162	−	0.605083i	$-0.793140\pi$
$11$	−2.22289	+	1.28338i	−0.670226	+	0.386955i	0.125936	+	0.992038i	$0.459806\pi$
$12$	3.45844	+	0.197901i	0.998367	+	0.0571291i
$13$	1.51275	−	0.873386i	0.419561	−	0.242234i	−0.275329	−	0.961350i	$-0.588787\pi$
$13$	1.51275	−	0.873386i	0.419561	−	0.242234i	0.694889	+	0.719117i	$0.255453\pi$
$14$	−2.45211	−	2.82616i	−0.655353	−	0.755322i
$15$	6.85397	−	1.86644i	1.76969	−	0.481913i
$16$	−0.488611	+	3.97005i	−0.122153	+	0.992511i
$17$	−0.415306	+	0.719330i	−0.100726	+	0.174463i	−0.911984	−	0.410225i	$-0.865450\pi$
$17$	−0.415306	+	0.719330i	−0.100726	+	0.174463i	0.811258	+	0.584689i	$0.198783\pi$
$18$	−1.71127	+	3.88221i	−0.403351	+	0.915045i
$19$	−1.18137	+	0.682065i	−0.271025	+	0.156476i	−0.629353	−	0.777119i	$-0.716680\pi$
$19$	−1.18137	+	0.682065i	−0.271025	+	0.156476i	0.358328	+	0.933596i	$0.383347\pi$
$20$	1.63416	+	8.03804i	0.365410	+	1.79736i
$21$	4.29423	−	1.59988i	0.937077	−	0.349123i
$22$	3.61172	−	0.363421i	0.770022	−	0.0774816i
$23$	−3.11995	+	5.40392i	−0.650556	+	1.12680i	0.332433	+	0.943127i	$0.392131\pi$
$23$	−3.11995	+	5.40392i	−0.650556	+	1.12680i	−0.982988	+	0.183668i	$0.941203\pi$
$24$	−4.34430	−	2.26431i	−0.886776	−	0.462200i
$25$	5.91008	+	10.2366i	1.18202	+	2.04731i
$26$	−2.45790	+	0.247320i	−0.482033	+	0.0485034i
$27$	−3.71881	−	3.62911i	−0.715686	−	0.698423i
$28$	1.51989	+	5.06852i	0.287233	+	0.957861i
$29$	−5.13520	−	2.96481i	−0.953583	−	0.550552i	−0.0593910	−	0.998235i	$-0.518916\pi$
$29$	−5.13520	−	2.96481i	−0.953583	−	0.550552i	−0.894192	+	0.447683i	$0.852249\pi$
$30$	−9.92168	−	1.57516i	−1.81144	−	0.287584i
$31$	−4.33751			−0.779039			−0.389520	−	0.921018i	$-0.627359\pi$
$31$	−4.33751			−0.779039			−0.389520	+	0.921018i	$0.627359\pi$
$32$	2.93635	−	4.83506i	0.519078	−	0.854727i
$33$	−1.13317	+	4.29894i	−0.197259	+	0.748349i
$34$	0.953374	−	0.686228i	0.163502	−	0.117687i
$35$	6.25487	+	8.86666i	1.05727	+	1.49874i
$36$	4.46180	−	4.01152i	0.743634	−	0.668587i
$37$	10.3091	−	5.95197i	1.69481	−	0.978497i	0.744274	−	0.667874i	$-0.232796\pi$
$37$	10.3091	−	5.95197i	1.69481	−	0.978497i	0.950533	−	0.310623i	$-0.100538\pi$
$38$	1.91948	−	0.193143i	0.311380	−	0.0313319i
$39$	0.771158	−	2.92557i	0.123484	−	0.468466i
$40$	2.56253	−	11.3135i	0.405171	−	1.78882i
$41$	−2.58219	−	4.47249i	−0.403271	−	0.698485i	0.590848	−	0.806783i	$-0.298793\pi$
$41$	−2.58219	−	4.47249i	−0.403271	−	0.698485i	−0.994118	+	0.108298i	$0.965460\pi$
$42$	−6.46634	−	0.431807i	−0.997778	−	0.0666293i
$43$	−1.55028	−	0.895057i	−0.236416	−	0.136495i	0.377112	−	0.926168i	$-0.376917\pi$
$43$	−1.55028	−	0.895057i	−0.236416	−	0.136495i	−0.613528	+	0.789673i	$0.710250\pi$
$44$	−4.86802	−	1.62959i	−0.733882	−	0.245670i
$45$	6.06494	−	10.7050i	0.904108	−	1.59581i
$46$	7.16216	−	5.15524i	1.05600	−	0.760098i
$47$	−7.29139			−1.06356			−0.531779	−	0.846883i	$-0.678476\pi$
$47$	−7.29139			−1.06356			−0.531779	+	0.846883i	$0.678476\pi$
$48$	4.28605	+	5.44332i	0.618638	+	0.785676i
$49$	4.53694	+	5.33068i	0.648134	+	0.761526i
$50$	−1.67358	−	16.6322i	−0.236680	−	2.35215i
$51$	0.378004	+	1.38811i	0.0529312	+	0.194375i
$52$	3.31285	+	1.10899i	0.459410	+	0.153789i
$53$	−5.83416	−	3.36835i	−0.801384	−	0.462679i	0.0425711	−	0.999093i	$-0.486445\pi$
$53$	−5.83416	−	3.36835i	−0.801384	−	0.462679i	−0.843955	+	0.536414i	$0.819778\pi$
$54$	2.68670	+	6.83971i	0.365613	+	0.930767i
$55$	−10.5269			−1.41945
$56$	0.984761	−	7.41824i	0.131594	−	0.991304i
$57$	−0.602231	+	2.28470i	−0.0797675	+	0.302616i
$58$	4.89889	+	6.80601i	0.643255	+	0.893672i
$59$		−	10.9216i		−	1.42188i	−0.703255	−	0.710938i	$-0.748271\pi$
$59$		−	10.9216i		−	1.42188i	0.703255	−	0.710938i	$-0.251729\pi$
$60$	11.8778	+	7.79485i	1.53342	+	1.00631i
$61$		−	8.04219i		−	1.02970i	−0.857281	−	0.514848i	$-0.827848\pi$
$61$		−	8.04219i		−	1.02970i	0.857281	−	0.514848i	$-0.172152\pi$
$62$	5.59272	+	2.51981i	0.710276	+	0.320017i
$63$	3.27048	−	7.23215i	0.412042	−	0.911165i
$64$	−6.59495	+	4.52843i	−0.824369	+	0.566053i
$65$	7.16392			0.888576
$66$	3.95850	−	4.88468i	0.487257	−	0.601263i
$67$			0.171966i			0.0210090i	0.999945	+	0.0105045i	$0.00334375\pi$
$67$			0.171966i			0.0210090i	−0.999945	+	0.0105045i	$0.996656\pi$
$68$	−1.62792	+	0.330962i	−0.197414	+	0.0401350i
$69$	2.83973	+	10.4281i	0.341863	+	1.25540i
$70$	−2.91397	−	15.0662i	−0.348286	−	1.80076i
$71$	7.11476			0.844366			0.422183	−	0.906511i	$-0.361264\pi$
$71$	7.11476			0.844366			0.422183	+	0.906511i	$0.361264\pi$
$72$	−8.08342	+	2.58037i	−0.952640	+	0.304100i
$73$	0.941118	−	1.63006i	0.110150	−	0.190785i	−0.805681	−	0.592350i	$-0.798200\pi$
$73$	0.941118	−	1.63006i	0.110150	−	0.190785i	0.915830	+	0.401565i	$0.131534\pi$
$74$	−16.7501	+	1.68544i	−1.94716	+	0.195929i
$75$	19.7969	+	5.21832i	2.28595	+	0.602560i
$76$	−2.58715	−	0.866059i	−0.296766	−	0.0993438i
$77$	−6.76308	+	0.615553i	−0.770724	+	0.0701488i
$78$	−2.69389	+	3.32419i	−0.305023	+	0.376390i
$79$	5.87381			0.660856			0.330428	−	0.943831i	$-0.392807\pi$
$79$	5.87381			0.660856			0.330428	+	0.943831i	$0.392807\pi$
$80$	−9.87649	+	13.0988i	−1.10423	+	1.46449i
$81$	−8.99881	+	0.146479i	−0.999868	+	0.0162754i
$82$	0.731209	+	7.26684i	0.0807485	+	0.802489i
$83$	−6.17958	−	3.56778i	−0.678298	−	0.391615i	0.120916	−	0.992663i	$-0.461417\pi$
$83$	−6.17958	−	3.56778i	−0.678298	−	0.391615i	−0.799213	+	0.601048i	$0.794750\pi$
$84$	8.08675	+	4.31330i	0.882336	+	0.470619i
$85$	−2.95015	+	1.70327i	−0.319988	+	0.184745i
$86$	1.47894	+	2.05469i	0.159478	+	0.221563i
$87$	−9.90955	+	2.69852i	−1.06242	+	0.289312i
$88$	5.33007	+	4.92918i	0.568187	+	0.525452i
$89$	6.09771	+	10.5615i	0.646356	+	1.11952i	0.983987	+	0.178243i	$0.0570413\pi$
$89$	6.09771	+	10.5615i	0.646356	+	1.11952i	−0.337630	+	0.941279i	$0.609625\pi$
$90$	−14.0390	+	10.2796i	−1.47984	+	1.08356i
$91$	4.60250	−	0.418904i	0.482473	−	0.0439131i
$92$	−12.2296	+	2.48633i	−1.27503	+	0.259218i
$93$	−5.29068	+	5.33391i	−0.548618	+	0.553101i
$94$	9.40140	+	4.23583i	0.969681	+	0.436893i
$95$	−5.59462			−0.573996
$96$	−2.36415	−	9.50846i	−0.241290	−	0.970453i
$97$	−1.52251	+	2.63706i	−0.154587	+	0.267753i	−0.932909	−	0.360113i	$-0.882738\pi$
$97$	−1.52251	+	2.63706i	−0.154587	+	0.267753i	0.778321	+	0.627866i	$0.216071\pi$
$98$	−2.75308	−	9.50897i	−0.278103	−	0.960551i
$99$	3.90430	+	6.63711i	0.392397	+	0.667055i
$100$	−7.50438	+	22.4176i	−0.750438	+	2.24176i
$101$	10.4625	−	6.04050i	1.04105	−	0.601052i	0.120922	−	0.992662i	$-0.461415\pi$
$101$	10.4625	−	6.04050i	1.04105	−	0.601052i	0.920131	+	0.391610i	$0.128082\pi$
$102$	0.319012	−	2.00941i	0.0315869	−	0.198961i
$103$	5.41607	−	9.38090i	0.533661	−	0.924328i	−0.465566	−	0.885013i	$-0.654149\pi$
$103$	5.41607	−	9.38090i	0.533661	−	0.924328i	0.999227	−	0.0393146i	$-0.0125174\pi$
$104$	−3.62729	−	3.35447i	−0.355685	−	0.328933i
$105$	18.5329	+	3.12340i	1.80862	+	0.304812i
$106$	5.56568	+	7.73238i	0.540587	+	0.751035i
$107$	−0.418656	+	0.241711i	−0.0404730	+	0.0233671i	−0.520100	−	0.854105i	$-0.674105\pi$
$107$	−0.418656	+	0.241711i	−0.0404730	+	0.0233671i	0.479627	+	0.877472i	$0.340772\pi$
$108$	0.509250	−	10.3798i	0.0490026	−	0.998799i
$109$	−10.3803	−	5.99306i	−0.994251	−	0.574031i	−0.0877086	−	0.996146i	$-0.527954\pi$
$109$	−10.3803	−	5.99306i	−0.994251	−	0.574031i	−0.906542	+	0.422115i	$0.861288\pi$
$110$	13.5733	+	6.11548i	1.29416	+	0.583088i
$111$	5.25531	−	19.9372i	0.498812	−	1.89236i
$112$	−5.57926	+	8.99288i	−0.527190	+	0.849747i
$113$	3.88058	+	6.72137i	0.365055	+	0.632293i	0.988785	−	0.149347i	$-0.0477170\pi$
$113$	3.88058	+	6.72137i	0.365055	+	0.632293i	−0.623730	+	0.781640i	$0.714384\pi$
$114$	2.10377	−	2.59600i	0.197037	−	0.243138i
$115$	−22.1628	+	12.7957i	−2.06669	+	1.19320i
$116$	−2.36269	−	11.6215i	−0.219371	−	1.07903i
$117$	−2.65700	−	4.51677i	−0.245640	−	0.417576i
$118$	−6.34477	+	14.0822i	−0.584084	+	1.29637i
$119$	−1.79574	+	1.26678i	−0.164615	+	0.116125i
$120$	−10.7867	−	16.9508i	−0.984690	−	1.54739i
$121$	−2.20585	+	3.82064i	−0.200532	+	0.347331i
$122$	−4.67200	+	10.3695i	−0.422983	+	0.938808i
$123$	−8.64953	−	2.27995i	−0.779902	−	0.205576i
$124$	−5.74731	−	6.49802i	−0.516124	−	0.583540i
$125$			27.9711i			2.50181i
$126$	−8.41833	+	7.42508i	−0.749964	+	0.661479i
$127$	−3.77787			−0.335232			−0.167616	−	0.985852i	$-0.553607\pi$
$127$	−3.77787			−0.335232			−0.167616	+	0.985852i	$0.553607\pi$
$128$	11.1342	−	2.00764i	0.984129	−	0.177452i
$129$	−2.99163	+	0.814666i	−0.263398	+	0.0717273i
$130$	−9.23706	−	4.16178i	−0.810143	−	0.365013i
$131$	−6.85366	−	3.95696i	−0.598807	−	0.345722i	0.169765	−	0.985485i	$-0.445699\pi$
$131$	−6.85366	−	3.95696i	−0.598807	−	0.345722i	−0.768572	+	0.639763i	$0.779033\pi$
$132$	−7.94172	+	3.99860i	−0.691238	+	0.348034i
$133$	−3.59429	+	0.327141i	−0.311665	+	0.0283667i
$134$	0.0999013	−	0.221730i	0.00863016	−	0.0191546i
$135$	−5.76647	−	20.5157i	−0.496298	−	1.76571i
$136$	2.29128	+	0.518980i	0.196476	+	0.0445022i
$137$	−3.69315	−	6.39673i	−0.315527	−	0.546509i	0.664022	−	0.747713i	$-0.268848\pi$
$137$	−3.69315	−	6.39673i	−0.315527	−	0.546509i	−0.979549	+	0.201204i	$0.935515\pi$
$138$	2.39656	−	15.0955i	0.204009	−	1.28502i
$139$	2.00358	−	1.15677i	0.169941	−	0.0981155i	−0.412617	−	0.910905i	$-0.635385\pi$
$139$	2.00358	−	1.15677i	0.169941	−	0.0981155i	0.582558	+	0.812789i	$0.302052\pi$
$140$	−4.99529	+	21.1190i	−0.422179	+	1.78488i
$141$	−8.89368	+	8.96635i	−0.748983	+	0.755103i
$142$	−9.17366	−	4.13322i	−0.769836	−	0.346852i
$143$	−2.24178	+	3.88288i	−0.187467	+	0.324702i
$144$	11.9217	+	1.36886i	0.993473	+	0.114072i
$145$	−12.1594	−	21.0607i	−1.00978	−	1.74900i
$146$	−2.16043	+	1.55505i	−0.178798	+	0.128697i
$147$	12.0892	+	0.922947i	0.997098	+	0.0761234i
$148$	22.5765	+	7.55757i	1.85578	+	0.621229i
$149$	17.7832	+	10.2671i	1.45685	+	0.841114i	0.998855	−	0.0478388i	$-0.0152334\pi$
$149$	17.7832	+	10.2671i	1.45685	+	0.841114i	0.457998	+	0.888953i	$0.348567\pi$
$150$	−22.4943	−	18.2292i	−1.83665	−	1.48841i
$151$	−8.77998	−	15.2074i	−0.714505	−	1.23756i	−0.963150	−	0.268964i	$-0.913319\pi$
$151$	−8.77998	−	15.2074i	−0.714505	−	1.23756i	0.248645	−	0.968595i	$-0.420015\pi$
$152$	2.83271	+	2.61965i	0.229763	+	0.212482i
$153$	2.16806	+	1.22831i	0.175277	+	0.0993033i
$154$	9.07781	+	3.13523i	0.731511	+	0.252644i
$155$	−15.4059	−	8.89458i	−1.23743	−	0.714430i
$156$	5.40460	−	2.72118i	0.432714	−	0.217869i
$157$			1.65123i			0.131782i	0.997827	+	0.0658911i	$0.0209890\pi$
$157$			1.65123i			0.131782i	−0.997827	+	0.0658911i	$0.979011\pi$
$158$	−7.57361	−	3.41231i	−0.602524	−	0.271469i
$159$	−11.2584	+	3.06582i	−0.892845	+	0.243135i
$160$	20.3441	−	11.1517i	1.60835	−	0.881622i
$161$	−13.4904	+	9.51659i	−1.06319	+	0.750013i
$162$	11.6880	+	5.03887i	0.918298	+	0.395891i
$163$	−17.0877	+	9.86561i	−1.33842	+	0.772734i	−0.986572	−	0.163325i	$-0.947778\pi$
$163$	−17.0877	+	9.86561i	−1.33842	+	0.772734i	−0.351843	+	0.936059i	$0.614445\pi$
$164$	3.27876	−	9.79454i	0.256028	−	0.764825i
$165$	−12.8402	+	12.9452i	−0.999611	+	1.00778i
$166$	5.89521	+	8.19019i	0.457557	+	0.635682i
$167$	11.6408	+	20.1625i	0.900795	+	1.56022i	0.826465	+	0.562989i	$0.190349\pi$
$167$	11.6408	+	20.1625i	0.900795	+	1.56022i	0.0743301	+	0.997234i	$0.476318\pi$
$168$	−7.92118	−	10.2594i	−0.611132	−	0.791529i
$169$	−4.97440	+	8.61591i	−0.382646	+	0.662762i
$170$	4.79336	−	0.482321i	0.367634	−	0.0369923i
$171$	2.07497	+	3.52734i	0.158677	+	0.269743i
$172$	−0.713282	−	3.50846i	−0.0543872	−	0.267517i
$173$			12.0934i			0.919442i	0.888063	+	0.459721i	$0.152051\pi$
$173$			12.0934i			0.919442i	−0.888063	+	0.459721i	$0.847949\pi$
$174$	14.3449	+	2.27739i	1.08748	+	0.172648i
$175$	2.83467	+	31.1445i	0.214281	+	2.35430i
$176$	−4.00897	−	9.45204i	−0.302187	−	0.712474i
$177$	−13.4305	−	13.3217i	−1.00950	−	1.00132i
$178$	−1.72671	−	17.1603i	−0.129423	−	1.28622i
$179$	11.4091	+	6.58707i	0.852759	+	0.492340i	0.861581	−	0.507621i	$-0.169475\pi$
$179$	11.4091	+	6.58707i	0.852759	+	0.492340i	−0.00882204	+	0.999961i	$0.502808\pi$
$180$	24.0734	−	5.09857i	1.79433	−	0.380025i
$181$			1.18739i			0.0882579i	0.999026	+	0.0441289i	$0.0140512\pi$
$181$			1.18739i			0.0882579i	−0.999026	+	0.0441289i	$0.985949\pi$
$182$	−6.17775	−	2.13363i	−0.457925	−	0.158155i
$183$	−9.88962	−	9.80947i	−0.731062	−	0.725137i
$184$	17.2131	+	3.89880i	1.26897	+	0.287424i
$185$	48.8209			3.58938
$186$	9.92038	−	3.80392i	0.727398	−	0.278917i
$187$		−	2.13199i		−	0.155906i
$188$	−9.66128	−	10.9232i	−0.704621	−	0.796658i
$189$	−4.90433	−	12.8432i	−0.356737	−	0.934205i
$190$	7.21362	+	3.25012i	0.523331	+	0.235788i
$191$	13.1470			0.951284			0.475642	−	0.879639i	$-0.342216\pi$
$191$	13.1470			0.951284			0.475642	+	0.879639i	$0.342216\pi$
$192$	−2.47551	+	13.6335i	−0.178655	+	0.983912i
$193$	−10.5103			−0.756547			−0.378274	−	0.925694i	$-0.623482\pi$
$193$	−10.5103			−0.756547			−0.378274	+	0.925694i	$0.623482\pi$
$194$	3.49506	−	2.51571i	0.250931	−	0.180617i
$195$	8.73821	−	8.80961i	0.625756	−	0.630869i
$196$	−1.97433	+	13.8601i	−0.141024	+	0.990006i
$197$		−	11.9152i		−	0.848922i	−0.905446	−	0.424461i	$-0.860464\pi$
$197$		−	11.9152i		−	0.848922i	0.905446	−	0.424461i	$-0.139536\pi$
$198$	−1.17840	−	10.8259i	−0.0837454	−	0.769366i
$199$	0.0190930	−	0.0330701i	0.00135347	−	0.00234428i	−0.865348	−	0.501172i	$-0.832903\pi$
$199$	0.0190930	−	0.0330701i	0.00135347	−	0.00234428i	0.866701	+	0.498827i	$0.166236\pi$
$200$	22.6992	−	24.5453i	1.60508	−	1.73562i
$201$	0.211470	+	0.209756i	0.0149159	+	0.0147950i
$202$	−16.9993	+	1.71051i	−1.19606	+	0.120351i
$203$	−9.04337	−	12.8195i	−0.634720	−	0.899755i
$204$	−1.57867	+	2.40557i	−0.110529	+	0.168424i
$205$		−	21.1804i		−	1.47930i
$206$	−12.4331	+	8.94920i	−0.866255	+	0.623520i
$207$	16.2874	+	9.22762i	1.13205	+	0.641364i
$208$	2.72823	+	6.43242i	0.189169	+	0.446008i
$209$	1.75070	−	3.03231i	0.121099	−	0.209749i
$210$	−22.0815	−	14.7937i	−1.52377	−	1.02086i
$211$	2.77985	−	1.60495i	0.191373	−	0.110489i	−0.401252	−	0.915968i	$-0.631425\pi$
$211$	2.77985	−	1.60495i	0.191373	−	0.110489i	0.592625	+	0.805478i	$0.298092\pi$
$212$	−2.68428	−	13.2033i	−0.184357	−	0.906808i
$213$	8.67823	−	8.74915i	0.594623	−	0.599482i
$214$	0.680227	−	0.0684462i	0.0464993	−	0.00467888i
$215$	−3.67084	−	6.35809i	−0.250349	−	0.433618i
$216$	−6.68663	+	13.0877i	−0.454968	+	0.890508i
$217$	−10.4177	−	4.81352i	−0.707197	−	0.326763i
$218$	9.90259	+	13.7576i	0.670688	+	0.931785i
$219$	−0.856590	−	3.14558i	−0.0578830	−	0.212559i
$220$	−13.9485	−	15.7704i	−0.940405	−	1.06324i
$221$			1.45089i			0.0975973i
$222$	−18.3584	+	22.6537i	−1.23213	+	1.52042i
$223$	−13.2792	+	23.0003i	−0.889243	+	1.54021i	−0.0484712	+	0.998825i	$0.515435\pi$
$223$	−13.2792	+	23.0003i	−0.889243	+	1.54021i	−0.840772	+	0.541390i	$0.817898\pi$
$224$	12.4181	−	8.35409i	0.829719	−	0.558181i
$225$	30.5644	−	17.9796i	2.03762	−	1.19864i
$226$	−1.09888	−	10.9208i	−0.0730964	−	0.726441i
$227$	−4.89786	+	2.82778i	−0.325082	+	0.187686i	−0.653656	−	0.756792i	$-0.726766\pi$
$227$	−4.89786	+	2.82778i	−0.325082	+	0.187686i	0.328573	+	0.944478i	$0.393432\pi$
$228$	−4.22069	+	2.12509i	−0.279522	+	0.140737i
$229$	20.6523	+	11.9236i	1.36474	+	0.787933i	0.990251	−	0.139298i	$-0.0444845\pi$
$229$	20.6523	+	11.9236i	1.36474	+	0.787933i	0.374490	+	0.927231i	$0.377818\pi$
$230$	36.0098	−	3.62340i	2.37442	−	0.238920i
$231$	−7.49232	+	9.06750i	−0.492958	+	0.596598i
$232$	−3.70493	+	16.3572i	−0.243241	+	1.07390i
$233$	2.78938	+	4.83135i	0.182738	+	0.316512i	0.942812	−	0.333325i	$-0.108171\pi$
$233$	2.78938	+	4.83135i	0.182738	+	0.316512i	−0.760074	+	0.649837i	$0.774837\pi$
$234$	0.801942	+	7.36740i	0.0524246	+	0.481622i
$235$	−25.8974	−	14.9519i	−1.68936	−	0.975352i
$236$	16.3617	−	14.4715i	1.06506	−	0.942011i
$237$	7.16459	−	7.22314i	0.465390	−	0.469193i
$238$	3.05132	−	0.590157i	0.197787	−	0.0382542i
$239$	−10.7193	−	18.5664i	−0.693374	−	1.20096i	−0.970726	−	0.240191i	$-0.922790\pi$
$239$	−10.7193	−	18.5664i	−0.693374	−	1.20096i	0.277351	−	0.960769i	$-0.410543\pi$
$240$	4.06092	+	28.1225i	0.262132	+	1.81530i
$241$	−0.257122	−	0.445348i	−0.0165627	−	0.0286874i	0.857625	−	0.514275i	$-0.171939\pi$
$241$	−0.257122	−	0.445348i	−0.0165627	−	0.0286874i	−0.874188	+	0.485588i	$0.838606\pi$
$242$	5.06373	−	3.64482i	0.325509	−	0.234298i
$243$	−10.7962	+	11.2447i	−0.692575	+	0.721346i
$244$	12.0480	−	10.6561i	0.771294	−	0.682187i
$245$	5.18300	+	28.2369i	0.331130	+	1.80399i
$246$	9.82806	+	7.96456i	0.626614	+	0.507802i
$247$	−1.19141	+	2.06358i	−0.0758077	+	0.131303i
$248$	3.63556	+	11.7173i	0.230858	+	0.744048i
$249$	−11.9249	+	3.24734i	−0.755711	+	0.205792i
$250$	16.2494	−	36.0655i	1.02770	−	2.28098i
$251$			3.78611i			0.238977i	0.992836	+	0.119489i	$0.0381255\pi$
$251$			3.78611i			0.238977i	−0.992836	+	0.119489i	$0.961875\pi$
$252$	15.1680	−	4.68327i	0.955492	−	0.295018i
$253$		−	16.0164i		−	1.00694i
$254$	4.87113	+	2.19470i	0.305642	+	0.137708i
$255$	−1.50390	+	5.70541i	−0.0941782	+	0.357287i
$256$	−15.5225	−	3.87962i	−0.970157	−	0.242476i
$257$	−7.57277	+	13.1164i	−0.472376	+	0.818180i	−0.999500	−	0.0316084i	$-0.989937\pi$
$257$	−7.57277	+	13.1164i	−0.472376	+	0.818180i	0.527124	+	0.849788i	$0.323270\pi$
$258$	4.33063	+	0.687528i	0.269613	+	0.0428036i
$259$	31.3652	−	2.85476i	1.94894	−	0.177386i
$260$	9.49239	+	10.7323i	0.588693	+	0.665588i
$261$	−8.76877	+	15.4775i	−0.542773	+	0.958032i
$262$	6.53827	+	9.08359i	0.403935	+	0.561186i
$263$	−14.5791	−	25.2518i	−0.898987	−	1.55709i	−0.828791	−	0.559559i	$-0.810971\pi$
$263$	−14.5791	−	25.2518i	−0.898987	−	1.55709i	−0.0701968	−	0.997533i	$-0.522363\pi$
$264$	12.5629	−	0.542107i	0.773191	−	0.0333644i
$265$	−13.8144	−	23.9273i	−0.848613	−	1.46984i
$266$	4.82447	+	1.66624i	0.295807	+	0.102164i
$267$	20.4254	+	5.38399i	1.25002	+	0.329495i
$268$	−0.257622	+	0.227859i	−0.0157368	+	0.0139187i
$269$	−3.97630	−	2.29572i	−0.242439	−	0.139972i	0.373858	−	0.927486i	$-0.378035\pi$
$269$	−3.97630	−	2.29572i	−0.242439	−	0.139972i	−0.616297	+	0.787514i	$0.711368\pi$
$270$	−4.48310	+	29.8025i	−0.272833	+	1.81372i
$271$	5.45823	+	9.45393i	0.331564	+	0.574285i	0.982819	−	0.184574i	$-0.0590905\pi$
$271$	5.45823	+	9.45393i	0.331564	+	0.574285i	−0.651255	+	0.758859i	$0.725757\pi$
$272$	−2.65285	−	2.00025i	−0.160853	−	0.121283i
$273$	5.09877	−	6.17073i	0.308591	−	0.373470i
$274$	1.04580	+	10.3933i	0.0631793	+	0.627884i
$275$	−26.2749	−	15.1698i	−1.58444	−	0.914774i
$276$	−11.8596	+	18.0717i	−0.713866	+	1.08779i
$277$	21.3966	−	12.3533i	1.28560	−	0.742240i	0.307732	−	0.951473i	$-0.400430\pi$
$277$	21.3966	−	12.3533i	1.28560	−	0.742240i	0.977866	+	0.209232i	$0.0670965\pi$
$278$	−3.25539	+	0.327565i	−0.195245	+	0.0196461i
$279$	0.105896	+	13.0121i	0.00633981	+	0.779013i
$280$	18.7096	−	24.3286i	1.11811	−	1.45391i
$281$	−6.98724	+	12.1023i	−0.416824	+	0.721960i	−0.995618	−	0.0935138i	$-0.970190\pi$
$281$	−6.98724	+	12.1023i	−0.416824	+	0.721960i	0.578794	+	0.815474i	$0.303523\pi$
$282$	16.6763	−	6.39442i	0.993056	−	0.380782i
$283$			4.34827i			0.258478i	0.991613	+	0.129239i	$0.0412534\pi$
$283$			4.34827i			0.258478i	−0.991613	+	0.129239i	$0.958747\pi$
$284$	9.42724	+	10.6586i	0.559404	+	0.632473i
$285$	−6.82405	+	6.87981i	−0.404222	+	0.407525i
$286$	5.14622	−	3.70419i	0.304302	−	0.219033i
$287$	−1.23850	−	13.6074i	−0.0731065	−	0.803221i
$288$	−14.5764	−	8.69072i	−0.858923	−	0.512105i
$289$	8.15504	+	14.1249i	0.479708	+	0.830879i
$290$	3.44322	+	34.2192i	0.202193	+	2.00942i
$291$	1.38576	+	5.08881i	0.0812348	+	0.298312i
$292$	3.68901	−	0.749988i	0.215883	−	0.0438897i
$293$	−8.92750	+	5.15430i	−0.521550	+	0.301117i	−0.737569	−	0.675272i	$-0.764026\pi$
$293$	−8.92750	+	5.15430i	−0.521550	+	0.301117i	0.216018	+	0.976389i	$0.430693\pi$
$294$	−15.0514	−	8.21307i	−0.877817	−	0.478996i
$295$	22.3961	−	38.7912i	1.30395	−	2.25851i
$296$	−24.7193	−	22.8601i	−1.43678	−	1.32872i
$297$	12.9240	+	3.29444i	0.749929	+	0.191163i
$298$	−16.9648	−	23.5691i	−0.982744	−	1.36532i
$299$			10.8997i			0.630346i
$300$	18.4139	+	36.5722i	1.06312	+	2.11150i
$301$	−2.73013	−	3.87013i	−0.157362	−	0.223071i
$302$	2.48626	+	24.7088i	0.143068	+	1.42183i
$303$	5.33348	−	20.2338i	0.306400	−	1.16240i
$304$	−2.13060	−	5.02336i	−0.122198	−	0.288110i
$305$	16.4915	−	28.5640i	0.944298	−	1.63557i
$306$	−2.08189	−	2.84327i	−0.119014	−	0.162539i
$307$			16.1045i			0.919131i	0.888144	+	0.459566i	$0.151995\pi$
$307$			16.1045i			0.919131i	−0.888144	+	0.459566i	$0.848005\pi$
$308$	−9.88342	−	9.31615i	−0.563160	−	0.530837i
$309$	−4.92961	−	18.1026i	−0.280436	−	1.02982i
$310$	14.6969	+	20.4184i	0.834728	+	1.15968i
$311$	9.94060			0.563680			0.281840	−	0.959461i	$-0.409055\pi$
$311$	9.94060			0.563680			0.281840	+	0.959461i	$0.409055\pi$
$312$	−8.54944	+	0.368921i	−0.484017	+	0.0208861i
$313$	−20.7518			−1.17296			−0.586481	−	0.809963i	$-0.699487\pi$
$313$	−20.7518			−1.17296			−0.586481	+	0.809963i	$0.699487\pi$
$314$	0.959258	−	2.12907i	0.0541341	−	0.120150i
$315$	26.4464	−	18.9805i	1.49009	−	1.06943i
$316$	7.78296	+	8.79956i	0.437826	+	0.495014i
$317$			9.50704i			0.533969i	0.963701	+	0.266984i	$0.0860272\pi$
$317$			9.50704i			0.533969i	−0.963701	+	0.266984i	$0.913973\pi$
$318$	16.2974	+	2.58736i	0.913912	+	0.145092i
$319$	15.2200			0.852155
$320$	−32.7099	+	2.56023i	−1.82854	+	0.143121i
$321$	−0.213419	+	0.809656i	−0.0119119	+	0.0451906i
$322$	22.9228	−	4.43351i	1.27744	−	0.247070i
$323$		−	1.13306i		−	0.0630452i
$324$	−12.1431	−	13.2870i	−0.674616	−	0.738168i
$325$	17.8809	+	10.3236i	0.991855	+	0.572648i
$326$	27.7640	−	2.79368i	1.53770	−	0.154728i
$327$	−20.0311	+	5.45478i	−1.10772	+	0.301650i
$328$	−9.91759	+	10.7242i	−0.547607	+	0.592144i
$329$	−17.5122	−	8.09157i	−0.965478	−	0.446102i
$330$	24.0763	−	9.23194i	1.32536	−	0.508201i
$331$		−	10.0961i		−	0.554934i	−0.960735	−	0.277467i	$-0.910505\pi$
$331$		−	10.0961i		−	0.554934i	0.960735	−	0.277467i	$-0.0894950\pi$
$332$	−2.84321	−	13.9850i	−0.156041	−	0.767529i
$333$	−18.1070	−	30.7810i	−0.992257	−	1.68679i
$334$	−3.29638	−	32.7598i	−0.180370	−	1.79254i
$335$	−0.352637	+	0.610785i	−0.0192666	+	0.0333707i
$336$	4.25340	+	17.8300i	0.232042	+	0.972706i
$337$	−16.5589	−	28.6808i	−0.902019	−	1.56234i	−0.824869	−	0.565324i	$-0.808751\pi$
$337$	−16.5589	−	28.6808i	−0.902019	−	1.56234i	−0.0771500	−	0.997019i	$-0.524582\pi$
$338$	11.4192	−	8.21941i	0.621123	−	0.447077i
$339$	12.9987	+	3.42637i	0.705994	+	0.186095i
$340$	−6.46069	−	2.16274i	−0.350380	−	0.117291i
$341$	9.64179	−	5.56669i	0.522132	−	0.301453i
$342$	−0.626271	−	5.75353i	−0.0338649	−	0.311115i
$343$	4.98097	+	17.8379i	0.268947	+	0.963155i
$344$	−1.11849	+	4.93812i	−0.0603052	+	0.266246i
$345$	−11.2980	+	42.8615i	−0.608263	+	2.30759i
$346$	7.02548	−	15.5930i	0.377692	−	0.838285i
$347$			18.9881i			1.01934i	0.860371	+	0.509668i	$0.170232\pi$
$347$			18.9881i			1.01934i	−0.860371	+	0.509668i	$0.829768\pi$
$348$	−17.1731	−	11.2699i	−0.920573	−	0.604130i
$349$	−5.38194	−	3.10727i	−0.288089	−	0.166328i	0.348991	−	0.937126i	$-0.386524\pi$
$349$	−5.38194	−	3.10727i	−0.288089	−	0.166328i	−0.637080	+	0.770798i	$0.719858\pi$
$350$	14.4380	−	41.8040i	0.771742	−	2.23452i
$351$	−8.79524	−	2.24197i	−0.469455	−	0.119668i
$352$	−0.321930	+	14.5163i	−0.0171589	+	0.773720i
$353$	−13.5075	−	23.3956i	−0.718930	−	1.24522i	−0.961424	−	0.275070i	$-0.911299\pi$
$353$	−13.5075	−	23.3956i	−0.718930	−	1.24522i	0.242495	−	0.970153i	$-0.422034\pi$
$354$	9.57808	+	24.9791i	0.509069	+	1.32762i
$355$	25.2700	+	14.5897i	1.34119	+	0.774339i
$356$	−7.74263	+	23.1293i	−0.410359	+	1.22585i
$357$	−0.632572	+	3.75341i	−0.0334793	+	0.198651i
$358$	−10.8841	−	15.1212i	−0.575242	−	0.799182i
$359$	11.0537	+	19.1456i	0.583393	+	1.01047i	0.995074	+	0.0991377i	$0.0316084\pi$
$359$	11.0537	+	19.1456i	0.583393	+	1.01047i	−0.411681	+	0.911328i	$0.635058\pi$
$360$	−34.0019	−	7.41111i	−1.79206	−	0.390600i
$361$	−8.56957	+	14.8429i	−0.451030	+	0.781207i
$362$	0.689797	−	1.53100i	0.0362549	−	0.0804676i
$363$	2.00772	+	7.37280i	0.105378	+	0.386972i
$364$	6.72599	+	6.33995i	0.352538	+	0.332303i
$365$	6.68528	−	3.85975i	0.349924	−	0.202028i
$366$	7.05285	+	18.3934i	0.368659	+	0.961439i
$367$	9.75678	+	16.8992i	0.509300	+	0.882133i	0.999942	+	0.0107722i	$0.00342897\pi$
$367$	9.75678	+	16.8992i	0.509300	+	0.882133i	−0.490642	+	0.871361i	$0.663238\pi$
$368$	−19.9294	−	15.0268i	−1.03889	−	0.783325i
$369$	−13.3540	+	7.85551i	−0.695180	+	0.408941i
$370$	−62.9489	−	28.3618i	−3.27256	−	1.47446i
$371$	−10.2743	−	14.5644i	−0.533413	−	0.756147i
$372$	−15.0010	−	0.858398i	−0.777767	−	0.0445058i
$373$	−25.9000	−	14.9534i	−1.34105	−	0.774257i	−0.354091	−	0.935211i	$-0.615210\pi$
$373$	−25.9000	−	14.9534i	−1.34105	−	0.774257i	−0.986962	+	0.160953i	$0.948543\pi$
$374$	−1.23855	+	2.74895i	−0.0640438	+	0.142145i
$375$	34.3966	+	34.1178i	1.77623	+	1.76183i
$376$	6.11140	+	19.6968i	0.315172	+	1.01579i
$377$	−10.3577			−0.533448
$378$	−1.13751	+	19.4089i	−0.0585072	+	0.998287i
$379$			18.9429i			0.973034i	0.873671	+	0.486517i	$0.161733\pi$
$379$			18.9429i			0.973034i	−0.873671	+	0.486517i	$0.838267\pi$
$380$	−7.41302	−	8.38131i	−0.380280	−	0.429952i
$381$	−4.60806	+	4.64572i	−0.236078	+	0.238007i
$382$	−16.9515	−	7.63757i	−0.867316	−	0.390772i
$383$	6.00056	−	10.3933i	0.306614	−	0.531071i	−0.671005	−	0.741453i	$-0.734137\pi$
$383$	6.00056	−	10.3933i	0.306614	−	0.531071i	0.977619	+	0.210381i	$0.0674706\pi$
$384$	11.1121	−	16.1407i	0.567060	−	0.823676i
$385$	−25.2832	−	11.6822i	−1.28855	−	0.595380i
$386$	13.5518	+	6.10581i	0.689769	+	0.310778i
$387$	−2.64723	+	4.67255i	−0.134566	+	0.237519i
$388$	−5.96795	+	1.21330i	−0.302977	+	0.0615962i
$389$	−19.2261	+	11.1002i	−0.974800	+	0.562801i	−0.900696	−	0.434449i	$-0.856943\pi$
$389$	−19.2261	+	11.1002i	−0.974800	+	0.562801i	−0.0741041	+	0.997251i	$0.523610\pi$
$390$	−16.3847	+	6.28264i	−0.829673	+	0.318134i
$391$	−2.59147	−	4.48856i	−0.131056	−	0.226996i
$392$	10.5975	−	16.7240i	0.535255	−	0.844691i
$393$	−13.2257	+	3.60156i	−0.667149	+	0.181675i
$394$	−6.92197	+	15.3633i	−0.348724	+	0.773990i
$395$	20.8625	+	12.0450i	1.04971	+	0.606047i
$396$	−4.76976	+	14.6434i	−0.239690	+	0.735857i
$397$	−9.43909	+	5.44966i	−0.473734	+	0.273511i	−0.717802	−	0.696248i	$-0.754852\pi$
$397$	−9.43909	+	5.44966i	−0.473734	+	0.273511i	0.244067	+	0.969758i	$0.421518\pi$
$398$	−0.0438299	+	0.0315482i	−0.00219699	+	0.00158137i
$399$	−3.98185	+	4.81900i	−0.199342	+	0.241252i
$400$	−43.5273	+	18.4616i	−2.17637	+	0.923079i
$401$	4.12500	−	7.14471i	0.205993	−	0.356790i	−0.744456	−	0.667672i	$-0.767291\pi$
$401$	4.12500	−	7.14471i	0.205993	−	0.356790i	0.950449	+	0.310882i	$0.100624\pi$
$402$	−0.150811	−	0.393306i	−0.00752178	−	0.0196163i
$403$	−6.56156	+	3.78832i	−0.326854	+	0.188709i
$404$	22.9123	+	7.66999i	1.13993	+	0.381596i
$405$	−32.2621	−	17.9329i	−1.60312	−	0.891091i
$406$	4.21305	+	21.7829i	0.209090	+	1.08107i
$407$	−15.2773	+	26.4611i	−0.757269	+	1.31163i
$408$	3.43300	−	2.18461i	0.169959	−	0.108154i
$409$	19.0861			0.943745			0.471872	−	0.881667i	$-0.343578\pi$
$409$	19.0861			0.943745			0.471872	+	0.881667i	$0.343578\pi$
$410$	−12.3044	+	27.3096i	−0.607673	+	1.34873i
$411$	−12.3709	−	3.26088i	−0.610211	−	0.160847i
$412$	21.2300	−	4.31613i	1.04593	−	0.212640i
$413$	12.1202	−	26.2312i	0.596397	−	1.29075i
$414$	−15.6401	−	21.3599i	−0.768667	−	1.04978i
$415$	−14.6323	−	25.3440i	−0.718273	−	1.24409i
$416$	0.219084	−	9.87880i	0.0107415	−	0.484348i
$417$	1.02137	−	3.87480i	0.0500167	−	0.189750i
$418$	−4.01891	+	2.89276i	−0.196571	+	0.141490i
$419$	17.6842	−	10.2100i	0.863928	−	0.498789i	−0.00139742	−	0.999999i	$-0.500445\pi$
$419$	17.6842	−	10.2100i	0.863928	−	0.498789i	0.865326	+	0.501210i	$0.167111\pi$
$420$	19.8774	+	31.9027i	0.969917	+	1.55669i
$421$	−13.3910	−	7.73132i	−0.652640	−	0.376802i	0.136827	−	0.990595i	$-0.456309\pi$
$421$	−13.3910	−	7.73132i	−0.652640	−	0.376802i	−0.789467	+	0.613793i	$0.789643\pi$
$422$	−4.51667	+	0.454479i	−0.219868	+	0.0221237i
$423$	0.178011	+	21.8734i	0.00865521	+	1.06352i
$424$	−4.20921	+	18.5836i	−0.204417	+	0.902497i
$425$	−9.81796			−0.476241
$426$	−16.2723	+	6.23952i	−0.788395	+	0.302306i
$427$	8.92476	−	19.3154i	0.431899	−	0.934739i
$428$	−0.916837	−	0.306915i	−0.0443170	−	0.0148353i
$429$	2.04043	+	7.49290i	0.0985129	+	0.361761i
$430$	1.03949	+	10.3305i	0.0501285	+	0.498183i
$431$	−5.39114	+	9.33772i	−0.259682	+	0.449782i	−0.966157	−	0.257956i	$-0.916951\pi$
$431$	−5.39114	+	9.33772i	−0.259682	+	0.449782i	0.706475	+	0.707738i	$0.250284\pi$
$432$	16.2248	−	12.9906i	0.780615	−	0.625012i
$433$	31.2774			1.50310			0.751549	−	0.659677i	$-0.229307\pi$
$433$	31.2774			1.50310			0.751549	+	0.659677i	$0.229307\pi$
$434$	10.6360	+	12.2585i	0.510546	+	0.588426i
$435$	−40.7302	−	10.7362i	−1.95286	−	0.514760i
$436$	−4.77594	−	23.4917i	−0.228726	−	1.12505i
$437$		−	8.51205i		−	0.407186i
$438$	−0.722909	+	4.55349i	−0.0345419	+	0.217574i
$439$	24.5236			1.17045			0.585224	−	0.810872i	$-0.301006\pi$
$439$	24.5236			1.17045			0.585224	+	0.810872i	$0.301006\pi$
$440$	8.82334	+	28.4373i	0.420636	+	1.35569i
$441$	15.8808	−	13.7405i	0.756226	−	0.654310i
$442$	0.842873	−	1.87075i	0.0400914	−	0.0889826i
$443$		−	11.3645i		−	0.539945i	−0.962868	−	0.269972i	$-0.912985\pi$
$443$		−	11.3645i		−	0.539945i	0.962868	−	0.269972i	$-0.0870146\pi$
$444$	36.8314	−	18.5444i	1.74794	−	0.880076i
$445$			50.0163i			2.37100i
$446$	30.4837	−	21.9419i	1.44345	−	1.03898i
$447$	34.3167	−	9.34495i	1.62312	−	0.442001i
$448$	−20.8649	+	3.55751i	−0.985774	+	0.168077i
$449$	−8.54571			−0.403297			−0.201648	−	0.979458i	$-0.564630\pi$
$449$	−8.54571			−0.403297			−0.201648	+	0.979458i	$0.564630\pi$
$450$	−49.8542	+	5.42663i	−2.35015	+	0.255814i
$451$	11.4798	+	6.62789i	0.540565	+	0.312095i
$452$	−4.92741	+	14.7195i	−0.231766	+	0.692347i
$453$	−29.4102	−	7.75231i	−1.38181	−	0.364235i
$454$	7.95798	−	0.800753i	0.373487	−	0.0375812i
$455$	17.2061	+	7.95012i	0.806632	+	0.372707i
$456$	6.67663	−	0.288107i	0.312662	−	0.0134918i
$457$	−9.05721			−0.423679			−0.211839	−	0.977305i	$-0.567945\pi$
$457$	−9.05721			−0.423679			−0.211839	+	0.977305i	$0.567945\pi$
$458$	−19.7019	−	27.3718i	−0.920608	−	1.27900i
$459$	4.15497	−	1.16786i	0.193938	−	0.0545112i
$460$	−48.5355	−	16.2474i	−2.26298	−	0.757541i
$461$	−6.72868	−	3.88481i	−0.313386	−	0.180933i	0.335055	−	0.942199i	$-0.391245\pi$
$461$	−6.72868	−	3.88481i	−0.313386	−	0.180933i	−0.648441	+	0.761265i	$0.724579\pi$
$462$	14.9281	−	7.33894i	0.694519	−	0.341439i
$463$	1.69115	+	2.92915i	0.0785943	+	0.136129i	0.902644	−	0.430389i	$-0.141624\pi$
$463$	1.69115	+	2.92915i	0.0785943	+	0.136129i	−0.824049	+	0.566518i	$0.808290\pi$
$464$	14.2795	−	18.9383i	0.662911	−	0.879191i
$465$	−29.7291	+	8.09569i	−1.37866	+	0.375429i
$466$	−0.789879	−	7.84992i	−0.0365905	−	0.363641i
$467$	18.2843	−	10.5564i	0.846097	−	0.488494i	−0.0132352	−	0.999912i	$-0.504213\pi$
$467$	18.2843	−	10.5564i	0.846097	−	0.488494i	0.859332	+	0.511418i	$0.170880\pi$
$468$	3.24598	−	9.96530i	0.150046	−	0.460646i
$469$	−0.190838	+	0.413022i	−0.00881208	+	0.0190716i
$470$	24.7056	+	34.3234i	1.13958	+	1.58322i
$471$	2.03054	+	2.01409i	0.0935626	+	0.0928042i
$472$	−29.5035	+	9.15416i	−1.35801	+	0.421354i
$473$	4.59481			0.211270
$474$	−13.4341	+	5.15123i	−0.617048	+	0.236604i
$475$	−13.9640	−	8.06212i	−0.640712	−	0.369915i
$476$	−4.27716	−	1.01168i	−0.196043	−	0.0463703i
$477$	−9.96229	+	17.5841i	−0.456142	+	0.805122i
$478$	3.03543	+	30.1665i	0.138837	+	1.37978i
$479$	−7.52187	−	13.0283i	−0.343683	−	0.595276i	0.641431	−	0.767181i	$-0.278341\pi$
$479$	−7.52187	−	13.0283i	−0.343683	−	0.595276i	−0.985114	+	0.171905i	$0.945008\pi$
$480$	11.1013	−	38.6199i	0.506703	−	1.76275i
$481$	10.3967	−	18.0077i	0.474050	−	0.821078i
$482$	0.0728102	+	0.723597i	0.00331641	+	0.0329589i
$483$	−4.75215	+	28.1972i	−0.216230	+	1.28302i
$484$	−8.64651	+	1.75787i	−0.393023	+	0.0799030i
$485$	−10.8152	+	6.24417i	−0.491094	+	0.283533i
$486$	20.4529	−	8.22681i	0.927761	−	0.373176i
$487$	−9.86756	+	17.0911i	−0.447142	+	0.774472i	−0.998199	−	0.0599953i	$-0.980891\pi$
$487$	−9.86756	+	17.0911i	−0.447142	+	0.774472i	0.551057	+	0.834468i	$0.314225\pi$
$488$	−21.7250	+	6.74070i	−0.983446	+	0.305137i
$489$	−8.71087	+	33.0467i	−0.393919	+	1.49442i
$490$	9.72097	−	39.4193i	0.439149	−	1.78078i
$491$	7.86665	−	4.54181i	0.355017	−	0.204969i	−0.311876	−	0.950123i	$-0.600957\pi$
$491$	7.86665	−	4.54181i	0.355017	−	0.204969i	0.666893	+	0.745154i	$0.267624\pi$
$492$	−8.04525	−	15.9789i	−0.362708	−	0.720383i
$493$	4.26536	−	2.46260i	0.192102	−	0.110910i
$494$	2.73500	−	1.96862i	0.123053	−	0.0885724i
$495$	0.257004	+	31.5798i	0.0115515	+	1.41940i
$496$	2.11935	−	17.2201i	0.0951618	−	0.773205i
$497$	17.0880	+	7.89555i	0.766500	+	0.354164i
$498$	17.2623	+	2.74055i	0.773543	+	0.122807i
$499$	−9.51709	−	5.49470i	−0.426044	−	0.245976i	0.271616	−	0.962406i	$-0.412442\pi$
$499$	−9.51709	−	5.49470i	−0.426044	−	0.245976i	−0.697660	+	0.716429i	$0.745775\pi$
$500$	−41.9035	+	37.0624i	−1.87398	+	1.65748i
$501$	38.9931	+	10.2783i	1.74208	+	0.459201i
$502$	2.19949	−	4.88175i	0.0981680	−	0.217883i
$503$	35.4319			1.57983			0.789916	−	0.613215i	$-0.210124\pi$
$503$	35.4319			1.57983			0.789916	+	0.613215i	$0.210124\pi$
$504$	−22.2780	−	2.77308i	−0.992342	−	0.123523i
$505$	49.5471			2.20482
$506$	−9.30451	+	20.6513i	−0.413636	+	0.918063i
$507$	4.52761	+	16.6264i	0.201078	+	0.738403i
$508$	−5.00578	−	5.65963i	−0.222096	−	0.251106i
$509$	14.3279	+	8.27220i	0.635072	+	0.366659i	0.782714	−	0.622382i	$-0.213835\pi$
$509$	14.3279	+	8.27220i	0.635072	+	0.366659i	−0.147642	+	0.989041i	$0.547168\pi$
$510$	5.25359	−	6.48280i	0.232633	−	0.287063i
$511$	4.06929	−	2.87063i	0.180015	−	0.126989i
$512$	17.7607	+	14.0199i	0.784919	+	0.619598i
$513$	6.86859	+	1.75086i	0.303255	+	0.0773021i
$514$	17.3840	−	12.5128i	0.766776	−	0.551917i
$515$	38.4733	−	22.2126i	1.69534	−	0.978803i
$516$	−5.18444	−	3.40231i	−0.228232	−	0.149778i
$517$	16.2079	−	9.35765i	0.712824	−	0.411549i
$518$	−42.1002	−	14.5403i	−1.84978	−	0.638864i
$519$	14.8714	+	14.7509i	0.652784	+	0.647493i
$520$	−6.00457	−	19.3525i	−0.263318	−	0.848664i
$521$	−7.77701	+	13.4702i	−0.340717	+	0.590139i	−0.984566	−	0.175013i	$-0.944003\pi$
$521$	−7.77701	+	13.4702i	−0.340717	+	0.590139i	0.643849	+	0.765153i	$0.277336\pi$
$522$	20.2977	−	14.8623i	0.888408	−	0.650507i
$523$	−32.2401	+	18.6138i	−1.40976	+	0.813925i	−0.995365	−	0.0961720i	$-0.969340\pi$
$523$	−32.2401	+	18.6138i	−1.40976	+	0.813925i	−0.414395	+	0.910097i	$0.636007\pi$
$524$	−3.15335	−	15.5106i	−0.137755	−	0.677582i
$525$	41.7565	+	34.5027i	1.82240	+	1.50582i
$526$	4.12843	+	41.0288i	0.180008	+	1.78894i
$527$	1.80139	−	3.12010i	0.0784698	−	0.135914i
$528$	−16.5133	−	6.59924i	−0.718649	−	0.287195i
$529$	−7.96823	−	13.8014i	−0.346445	−	0.600060i
$530$	3.91188	+	38.8768i	0.169921	+	1.68870i
$531$	−32.7638	+	0.266640i	−1.42183	+	0.0115712i
$532$	−5.25262	−	4.95114i	−0.227730	−	0.214659i
$533$	−7.81241	−	4.51050i	−0.338393	−	0.195371i
$534$	−23.2085	−	18.8079i	−1.00433	−	0.813898i
$535$	−1.98263			−0.0857165
$536$	0.464546	−	0.144136i	0.0200653	−	0.00622574i
$537$	22.0165	−	5.99544i	0.950084	−	0.258722i
$538$	3.79332	+	5.27004i	0.163541	+	0.227208i
$539$	−16.9264	−	6.02687i	−0.729073	−	0.259596i
$540$	23.0938	−	35.8225i	0.993799	−	1.54156i
$541$	13.8463	−	7.99414i	0.595297	−	0.343695i	−0.171892	−	0.985116i	$-0.554988\pi$
$541$	13.8463	−	7.99414i	0.595297	−	0.343695i	0.767189	+	0.641421i	$0.221655\pi$
$542$	−1.54563	−	15.3606i	−0.0663903	−	0.659796i
$543$	1.46015	+	1.44832i	0.0626612	+	0.0621533i
$544$	2.25853	+	4.12024i	0.0968335	+	0.176654i
$545$	−24.5790	−	42.5720i	−1.05285	−	1.82358i
$546$	−10.1591	+	4.99439i	−0.434768	+	0.213740i
$547$	7.53594	+	4.35088i	0.322213	+	0.186030i	0.652379	−	0.757893i	$-0.273771\pi$
$547$	7.53594	+	4.35088i	0.322213	+	0.186030i	−0.330165	+	0.943923i	$0.607104\pi$
$548$	4.68942	−	14.0085i	0.200322	−	0.598415i
$549$	−24.1258	+	0.196341i	−1.02966	+	0.00837965i
$550$	25.0657	+	34.8238i	1.06881	+	1.48489i
$551$	8.08877			0.344593
$552$	25.7901	−	16.4117i	1.09770	−	0.698528i
$553$	14.1075	+	6.51842i	0.599913	+	0.277192i
$554$	−34.7650	+	3.49814i	−1.47702	+	0.148622i
$555$	59.5493	−	60.0359i	2.52773	−	2.54838i
$556$	4.38774	+	1.46881i	0.186082	+	0.0622916i
$557$	30.3719	+	17.5352i	1.28690	+	0.742990i	0.978100	−	0.208137i	$-0.0667401\pi$
$557$	30.3719	+	17.5352i	1.28690	+	0.742990i	0.308797	+	0.951128i	$0.400073\pi$
$558$	7.42265	−	16.8391i	0.314226	−	0.712856i
$559$	−3.12692			−0.132255
$560$	−38.2573	+	20.4998i	−1.61666	+	0.866273i
$561$	−2.62174	−	2.60049i	−0.110690	−	0.109793i
$562$	16.0399	−	11.5453i	0.676601	−	0.487010i
$563$		−	10.4155i		−	0.438963i	−0.975617	−	0.219481i	$-0.929564\pi$
$563$		−	10.4155i		−	0.438963i	0.975617	−	0.219481i	$-0.0704365\pi$
$564$	−25.2169	−	1.44297i	−1.06182	−	0.0607602i
$565$			31.8304i			1.33911i
$566$	2.52607	−	5.60659i	0.106178	−	0.235663i
$567$	−21.7756	−	9.63456i	−0.914488	−	0.404613i
$568$	−5.96336	−	19.2197i	−0.250217	−	0.806440i
$569$	35.7261			1.49772			0.748858	−	0.662730i	$-0.230602\pi$
$569$	35.7261			1.49772			0.748858	+	0.662730i	$0.230602\pi$
$570$	12.7956	−	4.90638i	0.535947	−	0.205506i
$571$		−	9.29646i		−	0.389045i	−0.980898	−	0.194522i	$-0.937684\pi$
$571$		−	9.29646i		−	0.389045i	0.980898	−	0.194522i	$-0.0623157\pi$
$572$	−8.78736	+	1.78650i	−0.367418	+	0.0746974i
$573$	16.0361	−	16.1671i	0.669917	−	0.675391i
$574$	−6.30814	+	18.2647i	−0.263297	+	0.762354i
$575$	−73.7567			−3.07587
$576$	13.7458	+	19.6736i	0.572743	+	0.819735i
$577$	11.6014	−	20.0942i	0.482972	−	0.836533i	−0.516837	−	0.856084i	$-0.672891\pi$
$577$	11.6014	−	20.0942i	0.482972	−	0.836533i	0.999809	+	0.0195516i	$0.00622385\pi$
$578$	−2.30929	−	22.9501i	−0.0960540	−	0.954596i
$579$	−12.8199	+	12.9247i	−0.532779	+	0.537132i
$580$	15.4395	−	46.1220i	0.641091	−	1.91511i
$581$	−10.8826	−	15.4267i	−0.451485	−	0.640009i
$582$	1.16950	−	7.36648i	0.0484772	−	0.305350i
$583$	17.2916			0.716144
$584$	−5.19224	−	1.17605i	−0.214857	−	0.0486654i
$585$	−0.174900	−	21.4911i	−0.00723121	−	0.888546i
$586$	14.5053	−	1.45956i	0.599208	−	0.0602939i
$587$	33.5232	+	19.3546i	1.38365	+	0.798851i	0.992590	−	0.121514i	$-0.0387750\pi$
$587$	33.5232	+	19.3546i	1.38365	+	0.798851i	0.391060	+	0.920365i	$0.372108\pi$
$588$	14.6358	+	19.3337i	0.603571	+	0.797310i
$589$	5.12421	−	2.95846i	0.211139	−	0.121901i
$590$	−51.4124	+	37.0061i	−2.11662	+	1.52352i
$591$	−14.6523	−	14.5336i	−0.602716	−	0.597831i
$592$	18.5924	+	43.8358i	0.764144	+	1.80164i
$593$	10.2545	+	17.7614i	0.421104	+	0.729373i	0.996048	−	0.0888197i	$-0.0283095\pi$
$593$	10.2545	+	17.7614i	0.421104	+	0.729373i	−0.574944	+	0.818193i	$0.694976\pi$
$594$	−14.7502	−	11.7558i	−0.605208	−	0.482348i
$595$	−8.97574	+	0.816943i	−0.367970	+	0.0334914i
$596$	8.18198	+	40.2451i	0.335147	+	1.64851i
$597$	−0.0173781	−	0.0638163i	−0.000711240	−	0.00261183i
$598$	6.33203	−	14.0539i	0.258936	−	0.574707i
$599$	21.9264			0.895889			0.447944	−	0.894061i	$-0.352156\pi$
$599$	21.9264			0.895889			0.447944	+	0.894061i	$0.352156\pi$
$600$	−2.49644	−	57.8529i	−0.101917	−	2.36183i
$601$	10.9201	−	18.9141i	0.445438	−	0.771522i	−0.552644	−	0.833417i	$-0.686381\pi$
$601$	10.9201	−	18.9141i	0.445438	−	0.771522i	0.998083	+	0.0618955i	$0.0197145\pi$
$602$	1.27189	+	6.57613i	0.0518385	+	0.268023i
$603$	0.515881	−	0.00419837i	0.0210083	−	0.000170971i
$604$	11.1485	−	33.3035i	0.453625	−	1.35510i
$605$	−15.6694	+	9.04670i	−0.637050	+	0.367801i
$606$	−18.6314	+	22.9907i	−0.756850	+	0.933934i
$607$	−5.98919	+	10.3736i	−0.243094	+	0.421051i	−0.961594	−	0.274476i	$-0.911496\pi$
$607$	−5.98919	+	10.3736i	−0.243094	+	0.421051i	0.718500	+	0.695527i	$0.244829\pi$
$608$	−0.171092	+	7.71479i	−0.00693871	+	0.312876i
$609$	−26.7951	−	4.51585i	−1.08579	−	0.182991i
$610$	−37.8577	+	27.2496i	−1.53281	+	1.10330i
$611$	−11.0300	+	6.36819i	−0.446227	+	0.257629i
$612$	1.03260	+	4.87552i	0.0417403	+	0.197081i
$613$	13.2820	+	7.66834i	0.536453	+	0.309721i	0.743640	−	0.668580i	$-0.233098\pi$
$613$	13.2820	+	7.66834i	0.536453	+	0.309721i	−0.207187	+	0.978301i	$0.566431\pi$
$614$	9.35567	−	20.7649i	0.377564	−	0.838002i
$615$	−26.0459	−	25.8348i	−1.05027	−	1.04176i
$616$	7.33144	+	17.7537i	0.295392	+	0.715318i
$617$	2.21293	+	3.83291i	0.0890893	+	0.154307i	0.907126	−	0.420858i	$-0.138271\pi$
$617$	2.21293	+	3.83291i	0.0890893	+	0.154307i	−0.818037	+	0.575165i	$0.804938\pi$
$618$	−4.16029	+	26.2050i	−0.167351	+	1.05412i
$619$	−1.69125	+	0.976441i	−0.0679769	+	0.0392465i	−0.533603	−	0.845735i	$-0.679162\pi$
$619$	−1.69125	+	0.976441i	−0.0679769	+	0.0392465i	0.465626	+	0.884981i	$0.345829\pi$
$620$	−7.08819	−	34.8651i	−0.284669	−	1.40021i
$621$	31.2139	−	8.77350i	1.25257	−	0.352068i
$622$	−12.8173	−	5.77485i	−0.513925	−	0.231551i
$623$	2.92466	+	32.1332i	0.117174	+	1.28739i
$624$	11.2378	+	4.49100i	0.449874	+	0.179784i
$625$	−27.8077	+	48.1643i	−1.11231	+	1.92657i
$626$	26.7571	+	12.0555i	1.06943	+	0.481834i
$627$	−1.59346	−	5.85153i	−0.0636367	−	0.233688i
$628$	−2.47370	+	2.18792i	−0.0987116	+	0.0873075i
$629$			9.88754i			0.394242i
$630$	−45.1260	+	9.10944i	−1.79786	+	0.362929i
$631$	16.7754			0.667820			0.333910	−	0.942605i	$-0.391632\pi$
$631$	16.7754			0.667820			0.333910	+	0.942605i	$0.391632\pi$
$632$	−4.92324	−	15.8674i	−0.195836	−	0.631172i
$633$	1.41709	−	5.37607i	0.0563244	−	0.213680i
$634$	5.52299	−	12.2582i	0.219346	−	0.486837i
$635$	−13.4182	−	7.74698i	−0.532483	−	0.307429i
$636$	−19.5105	−	12.8039i	−0.773642	−	0.507706i
$637$	11.5190	+	4.10148i	0.456399	+	0.162507i
$638$	−19.6244	−	8.84183i	−0.776937	−	0.350052i
$639$	−0.173699	−	21.3436i	−0.00687144	−	0.844338i
$640$	43.6629	+	15.7012i	1.72593	+	0.620646i
$641$	−16.9881	−	29.4243i	−0.670991	−	1.16219i	−0.977624	−	0.210362i	$-0.932536\pi$
$641$	−16.9881	−	29.4243i	−0.670991	−	1.16219i	0.306633	−	0.951828i	$-0.400798\pi$
$642$	0.745538	−	0.919975i	0.0294240	−	0.0363085i
$643$	1.09902	−	0.634520i	0.0433412	−	0.0250230i	−0.478173	−	0.878266i	$-0.658701\pi$
$643$	1.09902	−	0.634520i	0.0433412	−	0.0250230i	0.521514	+	0.853243i	$0.325367\pi$
$644$	−32.1319	−	7.60018i	−1.26617	−	0.299489i
$645$	−12.2962	−	3.24118i	−0.484161	−	0.127621i
$646$	−0.658237	+	1.46095i	−0.0258980	+	0.0574804i
$647$	−19.3121	+	33.4495i	−0.759237	+	1.31504i	0.184003	+	0.982926i	$0.441094\pi$
$647$	−19.3121	+	33.4495i	−0.759237	+	1.31504i	−0.943240	+	0.332111i	$0.892239\pi$
$648$	7.93821	+	24.1865i	0.311842	+	0.950134i
$649$	14.0167	+	24.2776i	0.550202	+	0.952978i
$650$	−17.0581	−	23.6987i	−0.669072	−	0.929540i
$651$	−18.6262	+	6.93950i	−0.730020	+	0.271981i
$652$	−37.4214	−	12.5270i	−1.46553	−	0.490594i
$653$	16.3175	+	9.42092i	0.638554	+	0.368669i	0.784057	−	0.620689i	$-0.213147\pi$
$653$	16.3175	+	9.42092i	0.638554	+	0.368669i	−0.145503	+	0.989358i	$0.546480\pi$
$654$	28.9967	+	4.60350i	1.13386	+	0.180011i
$655$	−16.2285	−	28.1085i	−0.634098	−	1.09829i
$656$	19.0177	−	8.06611i	0.742515	−	0.314929i
$657$	−4.91301	−	2.78346i	−0.191675	−	0.108593i
$658$	17.8793	+	20.6066i	0.697006	+	0.803329i
$659$	−15.4859	−	8.94080i	−0.603246	−	0.348284i	0.167072	−	0.985945i	$-0.446569\pi$
$659$	−15.4859	−	8.94080i	−0.603246	−	0.348284i	−0.770317	+	0.637661i	$0.779902\pi$
$660$	−36.4068	−	2.08329i	−1.41713	−	0.0810921i
$661$		−	47.8689i		−	1.86189i	−0.365166	−	0.930943i	$-0.618988\pi$
$661$		−	47.8689i		−	1.86189i	0.365166	−	0.930943i	$-0.381012\pi$
$662$	−5.86522	+	13.0178i	−0.227958	+	0.505952i
$663$	1.78418	+	1.76972i	0.0692919	+	0.0687303i
$664$	−4.45843	+	19.6838i	−0.173021	+	0.763881i
$665$	−13.4370	−	6.20859i	−0.521063	−	0.240759i
$666$	5.46509	+	50.2076i	0.211768	+	1.94550i
$667$	32.0432	−	18.5001i	1.24072	−	0.716329i
$668$	−14.7811	+	44.1550i	−0.571897	+	1.70841i
$669$	12.0865	+	44.3844i	0.467292	+	1.71600i
$670$	0.809511	−	0.582677i	0.0312742	−	0.0225108i
$671$	10.3212	+	17.8769i	0.398446	+	0.690129i
$672$	4.87382	−	25.4607i	0.188012	−	0.982167i
$673$	−3.31257	+	5.73755i	−0.127690	+	0.221166i	−0.922781	−	0.385324i	$-0.874090\pi$
$673$	−3.31257	+	5.73755i	−0.127690	+	0.221166i	0.795091	+	0.606490i	$0.207423\pi$
$674$	4.68904	+	46.6002i	0.180615	+	1.79497i
$675$	15.1711	−	59.5162i	0.583937	−	2.29078i
$676$	−19.4987	+	3.96416i	−0.749950	+	0.152468i
$677$		−	9.51089i		−	0.365533i	−0.983156	−	0.182767i	$-0.941495\pi$
$677$		−	9.51089i		−	0.365533i	0.983156	−	0.182767i	$-0.0585053\pi$
$678$	−14.7699	−	11.9693i	−0.567233	−	0.459680i
$679$	−6.58316	+	4.64401i	−0.252639	+	0.178221i
$680$	7.07390	+	6.54185i	0.271272	+	0.250869i
$681$	−2.49680	+	9.47217i	−0.0956774	+	0.362975i
$682$	−15.6659	+	1.57634i	−0.599877	+	0.0603612i
$683$	−36.0435	−	20.8097i	−1.37917	−	0.796262i	−0.387107	−	0.922035i	$-0.626526\pi$
$683$	−36.0435	−	20.8097i	−1.37917	−	0.796262i	−0.992059	+	0.125773i	$0.959859\pi$
$684$	−2.53493	+	7.78234i	−0.0969254	+	0.297565i
$685$		−	30.2930i		−	1.15744i
$686$	3.94028	−	25.8935i	0.150441	−	0.988619i
$687$	39.8533	−	10.8527i	1.52050	−	0.414055i
$688$	4.31090	−	5.71736i	0.164352	−	0.217972i
$689$	−11.7675			−0.448306
$690$	39.4672	−	48.7016i	1.50249	−	1.85404i
$691$			2.03030i			0.0772364i	0.999254	+	0.0386182i	$0.0122956\pi$
$691$			2.03030i			0.0772364i	−0.999254	+	0.0386182i	$0.987704\pi$
$692$	−18.1171	+	16.0240i	−0.688708	+	0.609142i
$693$	2.01171	+	20.2735i	0.0764186	+	0.770128i
$694$	11.0309	−	24.4830i	0.418727	−	0.929363i
$695$	9.48834			0.359913
$696$	15.5956	+	24.5077i	0.591150	+	0.928962i
$697$	4.28959			0.162480
$698$	5.13427	+	7.13303i	0.194335	+	0.269989i
$699$	9.34355	+	2.46289i	0.353405	+	0.0931551i
$700$	−42.9015	+	45.5138i	−1.62153	+	1.72026i
$701$		−	23.4282i		−	0.884871i	−0.896800	−	0.442435i	$-0.854115\pi$
$701$		−	23.4282i		−	0.884871i	0.896800	−	0.442435i	$-0.145885\pi$
$702$	10.0380	+	8.00024i	0.378860	+	0.301950i
$703$	−8.11926	+	14.0630i	−0.306224	+	0.530395i
$704$	8.84812	−	18.5300i	0.333476	−	0.698377i
$705$	−49.9749	+	13.6089i	−1.88216	+	0.512542i
$706$	3.82496	+	38.0129i	0.143954	+	1.43063i
$707$	31.8317	−	2.89722i	1.19716	−	0.108961i
$708$	2.16140	−	37.7719i	0.0812306	−	1.41955i
$709$			21.3733i			0.802689i	0.915927	+	0.401345i	$0.131457\pi$
$709$			21.3733i			0.802689i	−0.915927	+	0.401345i	$0.868543\pi$
$710$	−24.1071	−	33.4920i	−0.904725	−	1.25693i
$711$	−0.143403	−	17.6209i	−0.00537803	−	0.660834i
$712$	23.4199	−	25.3246i	0.877697	−	0.949080i
$713$	13.5328	−	23.4395i	0.506808	−	0.877818i
$714$	2.99612	−	4.47210i	0.112127	−	0.167364i
$715$	−15.9246	+	9.19407i	−0.595546	+	0.343839i
$716$	5.24931	+	25.8201i	0.196176	+	0.964941i
$717$	−35.9063	−	9.46464i	−1.34095	−	0.353464i
$718$	−3.13012	−	31.1075i	−0.116815	−	1.16092i
$719$	0.167387	+	0.289923i	0.00624248	+	0.0108123i	0.869130	−	0.494584i	$-0.164680\pi$
$719$	0.167387	+	0.289923i	0.00624248	+	0.0108123i	−0.862887	+	0.505396i	$0.831346\pi$
$720$	39.5361	+	29.3087i	1.47342	+	1.09227i
$721$	23.4185	−	16.5203i	0.872151	−	0.615247i
$722$	19.6723	−	14.1599i	0.732126	−	0.526976i
$723$	−0.861278	−	0.227027i	−0.0320313	−	0.00844321i
$724$	−1.77883	+	1.57332i	−0.0661096	+	0.0584720i
$725$		−	70.0891i		−	2.60304i
$726$	1.69440	−	10.6727i	0.0628849	−	0.396102i
$727$	−4.20051	+	7.27549i	−0.155788	+	0.269833i	−0.933346	−	0.358979i	$-0.883125\pi$
$727$	−4.20051	+	7.27549i	−0.155788	+	0.269833i	0.777558	+	0.628812i	$0.216458\pi$
$728$	−4.98929	−	12.0820i	−0.184915	−	0.447789i
$729$	0.659118	+	26.9920i	0.0244118	+	0.999702i
$730$	−10.8622	+	1.09298i	−0.402027	+	0.0404530i
$731$	1.28768	−	0.743445i	0.0476267	−	0.0274973i
$732$	1.59156	−	27.8134i	0.0588257	−	1.02801i
$733$	12.5037	+	7.21903i	0.461836	+	0.266641i	0.712816	−	0.701351i	$-0.247420\pi$
$733$	12.5037	+	7.21903i	0.461836	+	0.266641i	−0.250980	+	0.967992i	$0.580753\pi$
$734$	−2.76287	−	27.4577i	−0.101979	−	1.01348i
$735$	41.0454	+	28.0684i	1.51398	+	1.03532i
$736$	16.9670	+	30.9530i	0.625413	+	1.14094i
$737$	−0.220699	−	0.382261i	−0.00812954	−	0.0140808i
$738$	21.7820	−	2.37097i	0.801805	−	0.0872765i
$739$	28.1878	+	16.2742i	1.03690	+	0.598657i	0.918955	−	0.394362i	$-0.129035\pi$
$739$	28.1878	+	16.2742i	1.03690	+	0.598657i	0.117950	+	0.993020i	$0.462368\pi$
$740$	64.6889	+	73.1386i	2.37801	+	2.68863i
$741$	1.08440	+	3.98216i	0.0398365	+	0.146288i
$742$	4.78649	+	24.7478i	0.175718	+	0.908521i
$743$	0.488641	+	0.846352i	0.0179265	+	0.0310496i	0.874849	−	0.484395i	$-0.160960\pi$
$743$	0.488641	+	0.846352i	0.0179265	+	0.0310496i	−0.856923	+	0.515444i	$0.827627\pi$
$744$	18.8434	+	9.82144i	0.690833	+	0.360072i
$745$	42.1079	+	72.9330i	1.54271	+	2.67206i
$746$	24.7081	+	34.3270i	0.904630	+	1.25680i
$747$	−10.5521	+	18.6252i	−0.386082	+	0.681462i
$748$	3.19393	−	2.82494i	0.116782	−	0.103290i
$749$	−1.27375	+	0.115932i	−0.0465418	+	0.00423608i
$750$	−24.5302	−	63.9732i	−0.895715	−	2.33597i
$751$	5.58668	−	9.67641i	0.203861	−	0.353097i	−0.745908	−	0.666049i	$-0.767984\pi$
$751$	5.58668	−	9.67641i	0.203861	−	0.353097i	0.949769	+	0.312951i	$0.101318\pi$
$752$	3.56265	−	28.9471i	0.129917	−	1.05559i
$753$	4.65585	+	4.61811i	0.169669	+	0.168293i
$754$	13.3550	+	6.01716i	0.486362	+	0.219132i
$755$		−	72.0176i		−	2.62099i
$756$	12.7420	−	24.3647i	0.463423	−	0.886137i
$757$			21.8239i			0.793202i	0.917991	+	0.396601i	$0.129810\pi$
$757$			21.8239i			0.793202i	−0.917991	+	0.396601i	$0.870190\pi$
$758$	11.0046	−	24.4247i	0.399707	−	0.887147i
$759$	−19.6957	−	19.5360i	−0.714908	−	0.709113i
$760$	4.68923	+	15.1132i	0.170096	+	0.548214i
$761$	−3.53450	+	6.12193i	−0.128125	+	0.221920i	−0.922950	−	0.384919i	$-0.874229\pi$
$761$	−3.53450	+	6.12193i	−0.128125	+	0.221920i	0.794825	+	0.606839i	$0.207563\pi$
$762$	8.64043	−	3.31313i	0.313010	−	0.120022i
$763$	−18.2802	−	25.9134i	−0.661789	−	0.938127i
$764$	17.4201	+	19.6955i	0.630238	+	0.712559i
$765$	5.18166	+	8.80856i	0.187343	+	0.318474i
$766$	−13.7749	+	9.91498i	−0.497706	+	0.358243i
$767$	−9.53880	−	16.5217i	−0.344426	−	0.596563i
$768$	−23.7044	+	14.3562i	−0.855360	+	0.518033i
$769$	−9.64163	−	16.6998i	−0.347686	−	0.602210i	0.638152	−	0.769911i	$-0.279699\pi$
$769$	−9.64163	−	16.6998i	−0.347686	−	0.602210i	−0.985838	+	0.167700i	$0.946366\pi$
$770$	25.8132	+	29.7508i	0.930242	+	1.07214i
$771$	6.89261	+	25.3111i	0.248231	+	0.911559i
$772$	−13.9264	−	15.7455i	−0.501223	−	0.566692i
$773$	37.1871	+	21.4700i	1.33753	+	0.772221i	0.986440	−	0.164122i	$-0.0524790\pi$
$773$	37.1871	+	21.4700i	1.33753	+	0.772221i	0.351087	+	0.936343i	$0.385812\pi$
$774$	6.12776	−	4.48684i	0.220258	−	0.161276i
$775$	−25.6350	−	44.4011i	−0.920837	−	1.59494i
$776$	8.39983	+	1.90258i	0.301536	+	0.0682986i
$777$	34.7472	−	42.0525i	1.24655	−	1.50862i
$778$	31.2383	−	3.14328i	1.11995	−	0.112692i
$779$	6.10105	+	3.52244i	0.218593	+	0.126205i
$780$	24.7760	+	1.41775i	0.887124	+	0.0507636i
$781$	−15.8153	+	9.13097i	−0.565916	+	0.326732i
$782$	0.733836	+	7.29296i	0.0262419	+	0.260796i
$783$	8.33723	+	29.6618i	0.297948	+	1.06003i
$784$	−23.3798	+	15.4072i	−0.834995	+	0.550258i
$785$	−3.38604	+	5.86479i	−0.120853	+	0.209323i
$786$	19.1453	+	3.03950i	0.682891	+	0.108415i
$787$			10.1135i			0.360508i	0.983620	+	0.180254i	$0.0576919\pi$
$787$			10.1135i			0.360508i	−0.983620	+	0.180254i	$0.942308\pi$
$788$	17.8502	−	15.7879i	0.635885	−	0.562422i
$789$	−48.8355	−	12.8727i	−1.73859	−	0.458280i
$790$	−19.9024	−	27.6503i	−0.708096	−	0.983755i
$791$	1.86125	+	20.4496i	0.0661786	+	0.727104i
$792$	14.6569	−	16.1100i	0.520811	−	0.572444i
$793$	−7.02393	−	12.1658i	−0.249427	−	0.432020i
$794$	15.3365	−	1.54320i	0.544273	−	0.0547662i
$795$	−46.2740	−	12.1975i	−1.64117	−	0.432600i
$796$	0.0748411	−	0.0152155i	0.00265267	−	0.000539298i
$797$	9.17805	−	5.29895i	0.325103	−	0.187698i	−0.328562	−	0.944482i	$-0.606564\pi$
$797$	9.17805	−	5.29895i	0.325103	−	0.187698i	0.653665	+	0.756784i	$0.273231\pi$
$798$	7.93367	−	3.90034i	0.280849	−	0.138070i
$799$	3.02815	−	5.24492i	0.107128	−	0.185552i
$800$	66.8485	+	1.48251i	2.36345	+	0.0524147i
$801$	31.5347	−	18.5504i	1.11422	−	0.655445i
$802$	−9.46933	+	6.81592i	−0.334374	+	0.240678i
$803$			4.83127i			0.170492i
$804$	−0.0340323	+	0.594735i	−0.00120023	+	0.0209747i
$805$	−67.4296	+	6.13723i	−2.37658	+	0.216309i
$806$	10.6611	−	1.07275i	0.375523	−	0.0377861i
$807$	−7.67319	+	2.08952i	−0.270109	+	0.0735547i
$808$	−25.0870	−	23.2002i	−0.882558	−	0.816178i
$809$	−10.8854	+	18.8541i	−0.382710	+	0.662874i	−0.991449	−	0.130497i	$-0.958343\pi$
$809$	−10.8854	+	18.8541i	−0.382710	+	0.662874i	0.608738	+	0.793371i	$0.291676\pi$
$810$	31.1804	+	41.8646i	1.09557	+	1.47097i
$811$			24.3009i			0.853321i	0.904412	+	0.426660i	$0.140310\pi$
$811$			24.3009i			0.853321i	−0.904412	+	0.426660i	$0.859690\pi$
$812$	7.22225	−	30.5341i	0.253451	−	1.07154i
$813$	18.2833	+	4.81936i	0.641225	+	0.169022i
$814$	35.0706	−	25.2434i	1.22922	−	0.884781i
$815$	−80.9225			−2.83459
$816$	−5.69557	+	0.822446i	−0.199385	+	0.0287914i
$817$	2.44195			0.0854330
$818$	−24.6093	−	11.0878i	−0.860443	−	0.387675i
$819$	−1.36904	−	13.7968i	−0.0478380	−	0.482099i
$820$	31.7303	−	28.0645i	1.10807	−	0.980056i
$821$			1.56191i			0.0545111i	0.999628	+	0.0272556i	$0.00867679\pi$
$821$			1.56191i			0.0545111i	−0.999628	+	0.0272556i	$0.991323\pi$
$822$	14.0565	+	11.3912i	0.490276	+	0.397315i
$823$	4.07504			0.142047			0.0710234	−	0.997475i	$-0.477373\pi$
$823$	4.07504			0.142047			0.0710234	+	0.997475i	$0.477373\pi$
$824$	−29.8810	−	6.76810i	−1.04095	−	0.235778i
$825$	−50.7034	+	13.8073i	−1.76527	+	0.480709i
$826$	−30.8663	+	26.7810i	−1.07397	+	0.931831i
$827$		−	2.73942i		−	0.0952590i	−0.998865	−	0.0476295i	$-0.984833\pi$
$827$		−	2.73942i		−	0.0952590i	0.998865	−	0.0476295i	$-0.0151667\pi$
$828$	7.75732	+	36.6270i	0.269585	+	1.27288i
$829$	−15.6325	−	9.02542i	−0.542939	−	0.313466i	0.203330	−	0.979110i	$-0.434823\pi$
$829$	−15.6325	−	9.02542i	−0.542939	−	0.313466i	−0.746269	+	0.665644i	$0.768157\pi$
$830$	4.14349	+	41.1786i	0.143823	+	1.42933i
$831$	10.9074	−	41.3798i	0.378374	−	1.43545i
$832$	−6.02144	+	12.6103i	−0.208756	+	0.437184i
$833$	−5.71874	+	1.04970i	−0.198143	+	0.0363699i
$834$	−3.56795	+	4.40276i	−0.123548	+	0.152455i
$835$			95.4837i			3.30435i
$836$	6.86243	−	1.39516i	0.237342	−	0.0482525i
$837$	16.1304	+	15.7413i	0.557547	+	0.544099i
$838$	−28.7330	+	2.89119i	−0.992566	+	0.0998746i
$839$	14.4485	−	25.0255i	0.498816	−	0.863975i	−0.501183	−	0.865341i	$-0.667102\pi$
$839$	14.4485	−	25.0255i	0.498816	−	0.863975i	0.999999	+	0.00136652i	$0.000434976\pi$
$840$	−7.09617	−	52.6824i	−0.244841	−	1.81771i
$841$	3.08020	+	5.33507i	0.106214	+	0.183968i
$842$	12.7748	+	17.7480i	0.440249	+	0.611636i
$843$	6.35967	+	23.3541i	0.219039	+	0.804357i
$844$	6.08775	+	2.03790i	0.209549	+	0.0701474i
$845$	−35.3359	+	20.4012i	−1.21559	+	0.701822i
$846$	12.4775	−	28.3067i	0.428987	−	0.973204i
$847$	−9.53785	+	6.72835i	−0.327724	+	0.231189i
$848$	16.2232	−	21.5161i	0.557105	−	0.738865i
$849$	5.34714	+	5.30380i	0.183513	+	0.182026i
$850$	12.6591	+	5.70361i	0.434204	+	0.195632i
$851$			74.2795i			2.54627i
$852$	24.6060	+	1.40802i	0.842987	+	0.0482379i
$853$	−2.35306	−	1.35854i	−0.0805673	−	0.0465155i	0.459175	−	0.888346i	$-0.348145\pi$
$853$	−2.35306	−	1.35854i	−0.0805673	−	0.0465155i	−0.539742	+	0.841830i	$0.681478\pi$
$854$	−22.7285	+	19.7203i	−0.777753	+	0.674815i
$855$	0.136587	+	16.7833i	0.00467117	+	0.573977i
$856$	1.00386	+	0.928355i	0.0343111	+	0.0317305i
$857$	10.1078	+	17.5073i	0.345277	+	0.598037i	0.985404	−	0.170232i	$-0.0544517\pi$
$857$	10.1078	+	17.5073i	0.345277	+	0.598037i	−0.640127	+	0.768269i	$0.721118\pi$
$858$	1.72200	−	10.8466i	0.0587880	−	0.370296i
$859$	−12.3742	−	7.14424i	−0.422202	−	0.243758i	0.273817	−	0.961782i	$-0.411714\pi$
$859$	−12.3742	−	7.14424i	−0.422202	−	0.243758i	−0.696019	+	0.718023i	$0.745047\pi$
$860$	4.66109	−	13.9239i	0.158942	−	0.474802i
$861$	−18.2440	−	15.0747i	−0.621753	−	0.513743i
$862$	12.3759	−	8.90801i	0.421524	−	0.303408i
$863$	−18.4343	−	31.9292i	−0.627512	−	1.08688i	−0.988049	−	0.154138i	$-0.950740\pi$
$863$	−18.4343	−	31.9292i	−0.627512	−	1.08688i	0.360537	−	0.932745i	$-0.382593\pi$
$864$	−28.4667	+	7.32435i	−0.968457	+	0.249179i
$865$	−24.7989	+	42.9530i	−0.843188	+	1.46044i
$866$	−40.3287	−	18.1702i	−1.37042	−	0.617449i
$867$	27.3168	+	7.20052i	0.927728	+	0.244542i
$868$	−6.59255	−	21.9848i	−0.223766	−	0.746211i
$869$	−13.0568	+	7.53836i	−0.442923	+	0.255721i
$870$	46.2798	+	37.5047i	1.56903	+	1.27153i
$871$	0.150193	+	0.260141i	0.00508908	+	0.00881455i
$872$	−7.48914	+	33.0643i	−0.253614	+	1.11970i
$873$	7.94809	+	4.50299i	0.269002	+	0.152403i
$874$	−4.94496	+	10.9753i	−0.167266	+	0.371245i
$875$	−31.0407	+	67.1800i	−1.04937	+	2.27110i
$876$	3.57739	−	5.45124i	0.120869	−	0.184180i
$877$	−12.1901	−	7.03795i	−0.411630	−	0.237655i	0.279860	−	0.960041i	$-0.409712\pi$
$877$	−12.1901	−	7.03795i	−0.411630	−	0.237655i	−0.691490	+	0.722386i	$0.743045\pi$
$878$	−31.6204	−	14.2467i	−1.06714	−	0.480801i
$879$	−4.55100	+	17.2653i	−0.153501	+	0.582343i
$880$	5.14358	−	41.7924i	0.173390	−	1.40882i
$881$	13.3882			0.451062			0.225531	−	0.974236i	$-0.427588\pi$
$881$	13.3882			0.451062			0.225531	+	0.974236i	$0.427588\pi$
$882$	−28.4588	+	8.49111i	−0.958256	+	0.285910i
$883$		−	42.0397i		−	1.41475i	−0.706840	−	0.707374i	$-0.749880\pi$
$883$		−	42.0397i		−	1.41475i	0.706840	−	0.707374i	$-0.250120\pi$
$884$	−2.17358	+	1.92246i	−0.0731053	+	0.0646595i
$885$	−20.3846	−	74.8565i	−0.685220	−	2.51628i
$886$	−6.60207	+	14.6532i	−0.221801	+	0.492286i
$887$	0.750854	−	1.30052i	0.0252112	−	0.0436671i	−0.853145	−	0.521675i	$-0.825308\pi$
$887$	0.750854	−	1.30052i	0.0252112	−	0.0436671i	0.878356	+	0.478008i	$0.158641\pi$
$888$	−58.2629	+	2.51413i	−1.95518	+	0.0843688i
$889$	−9.07356	−	4.19247i	−0.304317	−	0.140611i
$890$	29.0563	−	64.4903i	0.973970	−	2.16172i
$891$	19.8154	−	11.8745i	0.663839	−	0.397812i
$892$	−52.0521	+	10.5824i	−1.74283	+	0.354324i
$893$	8.61383	−	4.97320i	0.288251	−	0.166422i
$894$	−49.6762	−	7.88656i	−1.66142	−	0.263766i
$895$	27.0151	+	46.7916i	0.903016	+	1.56407i
$896$	28.9696	+	7.53418i	0.967806	+	0.251699i
$897$	13.4036	+	13.2949i	0.447532	+	0.443904i
$898$	11.0187	+	4.96451i	0.367699	+	0.165668i
$899$	22.2740	+	12.8599i	0.742879	+	0.428901i
$900$	67.4338	+	21.9651i	2.24779	+	0.732170i
$901$	4.84592	−	2.79779i	0.161441	−	0.0932080i
$902$	−10.9516	−	15.2150i	−0.364647	−	0.506603i
$903$	−8.08926	−	1.36330i	−0.269194	−	0.0453679i
$904$	14.9044	−	16.1166i	0.495713	−	0.536029i
$905$	−2.43488	+	4.21734i	−0.0809382	+	0.140189i
$906$	33.4175	+	27.0812i	1.11022	+	0.899711i
$907$	42.4048	−	24.4824i	1.40803	−	0.812925i	0.412830	−	0.910808i	$-0.364540\pi$
$907$	42.4048	−	24.4824i	1.40803	−	0.812925i	0.995198	+	0.0978827i	$0.0312070\pi$
$908$	−10.7261	−	3.59060i	−0.355958	−	0.119158i
$909$	−18.3763	−	31.2388i	−0.609504	−	1.03613i
$910$	−17.5667	−	20.2464i	−0.582331	−	0.671161i
$911$	13.7003	−	23.7296i	0.453911	−	0.786198i	−0.544713	−	0.838622i	$-0.683362\pi$
$911$	13.7003	−	23.7296i	0.453911	−	0.786198i	0.998625	+	0.0524246i	$0.0166949\pi$
$912$	−8.77612	−	3.50722i	−0.290606	−	0.116136i
$913$	18.3154			0.606150
$914$	11.6782	+	5.26166i	0.386282	+	0.174040i
$915$	−15.0103	−	55.1209i	−0.496224	−	1.82224i
$916$	9.50206	+	46.7383i	0.313957	+	1.54428i
$917$	−12.0697	−	17.1095i	−0.398576	−	0.565005i
$918$	−6.03581	−	0.907948i	−0.199212	−	0.0299667i
$919$	−12.5721	−	21.7755i	−0.414714	−	0.718306i	0.580684	−	0.814129i	$-0.302785\pi$
$919$	−12.5721	−	21.7755i	−0.414714	−	0.718306i	−0.995398	+	0.0958227i	$0.969452\pi$
$920$	53.1422	+	49.1452i	1.75204	+	1.62027i
$921$	19.8040	+	19.6435i	0.652563	+	0.647274i
$922$	6.41903	+	8.91794i	0.211400	+	0.293697i
$923$	10.7628	−	6.21393i	0.354263	−	0.204534i
$924$	−23.5115	+	0.790435i	−0.773473	+	0.0260034i
$925$	121.855	+	70.3532i	4.00658	+	2.31320i
$926$	−0.478888	−	4.75925i	−0.0157373	−	0.156399i
$927$	−28.2740	−	16.0186i	−0.928640	−	0.526121i
$928$	−29.4138	+	16.1233i	−0.965555	+	0.529274i
$929$	−11.3993			−0.373999			−0.186999	−	0.982360i	$-0.559876\pi$
$929$	−11.3993			−0.373999			−0.186999	+	0.982360i	$0.559876\pi$
$930$	43.0354	+	6.83227i	1.41119	+	0.224039i
$931$	−8.99568	−	3.20303i	−0.294822	−	0.104975i
$932$	−3.54184	+	10.5804i	−0.116017	+	0.346574i
$933$	12.1251	−	12.2241i	0.396957	−	0.400200i
$934$	−29.7081	+	2.98931i	−0.972080	+	0.0978132i
$935$	4.37190	−	7.57234i	0.142976	−	0.247642i
$936$	−9.97452	+	10.9634i	−0.326027	+	0.358350i
$937$	−27.5575			−0.900265			−0.450133	−	0.892962i	$-0.648623\pi$
$937$	−27.5575			−0.900265			−0.450133	+	0.892962i	$0.648623\pi$
$938$	0.486003	−	0.421679i	0.0158686	−	0.0137683i
$939$	−25.3120	+	25.5189i	−0.826028	+	0.832777i
$940$	−11.9153	−	58.6085i	−0.388635	−	1.91160i
$941$			1.24709i			0.0406539i	0.999793	+	0.0203269i	$0.00647071\pi$
$941$			1.24709i			0.0406539i	−0.999793	+	0.0203269i	$0.993529\pi$
$942$	−1.44810	−	3.77655i	−0.0471816	−	0.123047i
$943$	32.2253			1.04940
$944$	43.3594	+	5.33643i	1.41123	+	0.173686i
$945$	8.91742	−	55.6731i	0.290084	−	1.81104i
$946$	−5.92448	−	2.66929i	−0.192621	−	0.0867862i
$947$			7.06956i			0.229730i	0.993381	+	0.114865i	$0.0366435\pi$
$947$			7.06956i			0.229730i	−0.993381	+	0.114865i	$0.963357\pi$
$948$	20.3143	+	1.16243i	0.659776	+	0.0377541i
$949$		−	3.28783i		−	0.106728i
$950$	13.3214	+	18.5074i	0.432203	+	0.600458i
$951$	11.6910	+	11.5962i	0.379106	+	0.376033i
$952$	4.92719	+	3.78920i	0.159691	+	0.122809i
$953$	−54.1124			−1.75287			−0.876435	−	0.481519i	$-0.840085\pi$
$953$	−54.1124			−1.75287			−0.876435	+	0.481519i	$0.840085\pi$
$954$	23.0605	−	16.8853i	0.746611	−	0.546681i
$955$	46.6952	+	26.9595i	1.51102	+	0.872389i
$956$	13.6110	−	40.6596i	0.440210	−	1.31502i
$957$	18.5646	−	18.7163i	0.600108	−	0.605011i
$958$	2.13000	+	21.1682i	0.0688170	+	0.683912i
$959$	−1.77136	−	19.4619i	−0.0572001	−	0.628457i
$960$	−36.7495	+	43.3468i	−1.18609	+	1.39901i
$961$	−12.1860			−0.393098
$962$	−23.8667	+	17.1790i	−0.769493	+	0.553872i
$963$	0.735330	+	1.25002i	0.0236957	+	0.0402815i
$964$	0.326483	−	0.975293i	0.0105153	−	0.0314121i
$965$	−37.3302	−	21.5526i	−1.20170	−	0.693803i
$966$	22.5081	−	33.5964i	0.724187	−	1.08095i
$967$	−0.685318	−	1.18700i	−0.0220383	−	0.0381715i	0.854796	−	0.518964i	$-0.173682\pi$
$967$	−0.685318	−	1.18700i	−0.0220383	−	0.0381715i	−0.876834	+	0.480793i	$0.840349\pi$
$968$	12.1699	+	2.75650i	0.391155	+	0.0885974i
$969$	−1.39335	−	1.38205i	−0.0447607	−	0.0443979i
$970$	17.5724	−	1.76818i	0.564217	−	0.0567730i
$971$	−7.06075	+	4.07652i	−0.226590	+	0.130822i	−0.608998	−	0.793172i	$-0.708428\pi$
$971$	−7.06075	+	4.07652i	−0.226590	+	0.130822i	0.382408	+	0.923994i	$0.375095\pi$
$972$	−31.1509	−	1.27429i	−0.999164	−	0.0408727i
$973$	6.09583	−	0.554822i	0.195423	−	0.0177868i
$974$	22.6519	−	16.3046i	0.725815	−	0.522433i
$975$	34.5053	−	9.39633i	1.10506	−	0.300923i
$976$	31.9278	+	3.92950i	1.02199	+	0.125780i
$977$	−23.8311			−0.762425			−0.381212	−	0.924488i	$-0.624493\pi$
$977$	−23.8311			−0.762425			−0.381212	+	0.924488i	$0.624493\pi$
$978$	30.4297	−	37.5495i	0.973034	−	1.20070i
$979$	−27.1091	−	15.6514i	−0.866409	−	0.500222i
$980$	−35.4342	+	45.1793i	−1.13190	+	1.44320i
$981$	−17.7252	+	31.2861i	−0.565921	+	0.998889i
$982$	−12.7816	+	1.28612i	−0.407878	+	0.0410418i
$983$	−27.8905	−	48.3078i	−0.889570	−	1.54078i	−0.840385	−	0.541990i	$-0.817671\pi$
$983$	−27.8905	−	48.3078i	−0.889570	−	1.54078i	−0.0491850	−	0.998790i	$-0.515662\pi$
$984$	1.09073	+	25.2767i	0.0347711	+	0.805791i
$985$	24.4335	−	42.3201i	0.778517	−	1.34843i
$986$	−6.93030	+	0.697345i	−0.220706	+	0.0222080i
$987$	−31.3109	+	11.6654i	−0.996636	+	0.371313i
$988$	−4.67011	+	0.949450i	−0.148576	+	0.0302060i
$989$	9.67363	−	5.58508i	0.307604	−	0.177595i
$990$	18.0144	−	40.8678i	0.572537	−	1.29886i
$991$	1.34186	−	2.32417i	0.0426256	−	0.0738297i	−0.843925	−	0.536460i	$-0.819761\pi$
$991$	1.34186	−	2.32417i	0.0426256	−	0.0738297i	0.886551	+	0.462631i	$0.153094\pi$
$992$	−12.7364	+	20.9721i	−0.404382	+	0.665866i
$993$	−12.4154	−	12.3148i	−0.393991	−	0.390798i
$994$	−17.4462	−	20.1074i	−0.553358	−	0.637769i
$995$	0.135628	−	0.0783050i	0.00429971	−	0.00248244i
$996$	−20.6657	−	13.5619i	−0.654817	−	0.429726i
$997$	−24.9305	+	14.3937i	−0.789558	+	0.455852i	−0.839807	−	0.542885i	$-0.817332\pi$
$997$	−24.9305	+	14.3937i	−0.789558	+	0.455852i	0.0502487	+	0.998737i	$0.483999\pi$
$998$	9.07913	+	12.6136i	0.287395	+	0.399277i
$999$	−59.9380	−	15.2787i	−1.89635	−	0.483395i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.cq.a.277.11	yes	184
7.2	even	3		504.2.w.a.205.51	✓	184
8.5	even	2	inner	504.2.cq.a.277.12	yes	184
9.4	even	3		504.2.w.a.445.74	yes	184
56.37	even	6		504.2.w.a.205.74	yes	184
63.58	even	3	inner	504.2.cq.a.373.11	yes	184
72.13	even	6		504.2.w.a.445.51	yes	184
504.373	even	6	inner	504.2.cq.a.373.12	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.w.a.205.51	✓	184	7.2	even	3
504.2.w.a.205.74	yes	184	56.37	even	6
504.2.w.a.445.51	yes	184	72.13	even	6
504.2.w.a.445.74	yes	184	9.4	even	3
504.2.cq.a.277.11	yes	184	1.1	even	1	trivial
504.2.cq.a.277.12	yes	184	8.5	even	2	inner
504.2.cq.a.373.11	yes	184	63.58	even	3	inner
504.2.cq.a.373.12	yes	184	504.373	even	6	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:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.cq (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.28938 - 0.580936i) q^{2} +(1.21975 - 1.22972i) q^{3} +(1.32503 + 1.49810i) q^{4} +(3.55178 + 2.05062i) q^{5} +(-2.28712 + 0.876982i) q^{6} +(2.40176 + 1.10974i) q^{7} +(-0.838168 - 2.70138i) q^{8} +(-0.0244139 - 2.99990i) q^{9} +O(q^{10})\)	\(q+(-1.28938 - 0.580936i) q^{2} +(1.21975 - 1.22972i) q^{3} +(1.32503 + 1.49810i) q^{4} +(3.55178 + 2.05062i) q^{5} +(-2.28712 + 0.876982i) q^{6} +(2.40176 + 1.10974i) q^{7} +(-0.838168 - 2.70138i) q^{8} +(-0.0244139 - 2.99990i) q^{9} +(-3.38833 - 4.70739i) q^{10} +(-2.22289 + 1.28338i) q^{11} +(3.45844 + 0.197901i) q^{12} +(1.51275 - 0.873386i) q^{13} +(-2.45211 - 2.82616i) q^{14} +(6.85397 - 1.86644i) q^{15} +(-0.488611 + 3.97005i) q^{16} +(-0.415306 + 0.719330i) q^{17} +(-1.71127 + 3.88221i) q^{18} +(-1.18137 + 0.682065i) q^{19} +(1.63416 + 8.03804i) q^{20} +(4.29423 - 1.59988i) q^{21} +(3.61172 - 0.363421i) q^{22} +(-3.11995 + 5.40392i) q^{23} +(-4.34430 - 2.26431i) q^{24} +(5.91008 + 10.2366i) q^{25} +(-2.45790 + 0.247320i) q^{26} +(-3.71881 - 3.62911i) q^{27} +(1.51989 + 5.06852i) q^{28} +(-5.13520 - 2.96481i) q^{29} +(-9.92168 - 1.57516i) q^{30} -4.33751 q^{31} +(2.93635 - 4.83506i) q^{32} +(-1.13317 + 4.29894i) q^{33} +(0.953374 - 0.686228i) q^{34} +(6.25487 + 8.86666i) q^{35} +(4.46180 - 4.01152i) q^{36} +(10.3091 - 5.95197i) q^{37} +(1.91948 - 0.193143i) q^{38} +(0.771158 - 2.92557i) q^{39} +(2.56253 - 11.3135i) q^{40} +(-2.58219 - 4.47249i) q^{41} +(-6.46634 - 0.431807i) q^{42} +(-1.55028 - 0.895057i) q^{43} +(-4.86802 - 1.62959i) q^{44} +(6.06494 - 10.7050i) q^{45} +(7.16216 - 5.15524i) q^{46} -7.29139 q^{47} +(4.28605 + 5.44332i) q^{48} +(4.53694 + 5.33068i) q^{49} +(-1.67358 - 16.6322i) q^{50} +(0.378004 + 1.38811i) q^{51} +(3.31285 + 1.10899i) q^{52} +(-5.83416 - 3.36835i) q^{53} +(2.68670 + 6.83971i) q^{54} -10.5269 q^{55} +(0.984761 - 7.41824i) q^{56} +(-0.602231 + 2.28470i) q^{57} +(4.89889 + 6.80601i) q^{58} -10.9216i q^{59} +(11.8778 + 7.79485i) q^{60} -8.04219i q^{61} +(5.59272 + 2.51981i) q^{62} +(3.27048 - 7.23215i) q^{63} +(-6.59495 + 4.52843i) q^{64} +7.16392 q^{65} +(3.95850 - 4.88468i) q^{66} +0.171966i q^{67} +(-1.62792 + 0.330962i) q^{68} +(2.83973 + 10.4281i) q^{69} +(-2.91397 - 15.0662i) q^{70} +7.11476 q^{71} +(-8.08342 + 2.58037i) q^{72} +(0.941118 - 1.63006i) q^{73} +(-16.7501 + 1.68544i) q^{74} +(19.7969 + 5.21832i) q^{75} +(-2.58715 - 0.866059i) q^{76} +(-6.76308 + 0.615553i) q^{77} +(-2.69389 + 3.32419i) q^{78} +5.87381 q^{79} +(-9.87649 + 13.0988i) q^{80} +(-8.99881 + 0.146479i) q^{81} +(0.731209 + 7.26684i) q^{82} +(-6.17958 - 3.56778i) q^{83} +(8.08675 + 4.31330i) q^{84} +(-2.95015 + 1.70327i) q^{85} +(1.47894 + 2.05469i) q^{86} +(-9.90955 + 2.69852i) q^{87} +(5.33007 + 4.92918i) q^{88} +(6.09771 + 10.5615i) q^{89} +(-14.0390 + 10.2796i) q^{90} +(4.60250 - 0.418904i) q^{91} +(-12.2296 + 2.48633i) q^{92} +(-5.29068 + 5.33391i) q^{93} +(9.40140 + 4.23583i) q^{94} -5.59462 q^{95} +(-2.36415 - 9.50846i) q^{96} +(-1.52251 + 2.63706i) q^{97} +(-2.75308 - 9.50897i) q^{98} +(3.90430 + 6.63711i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) \) 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	\( 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} + 16 q^{12} - 4 q^{14} - 2 q^{15} - 2 q^{16} - 4 q^{17} - 14 q^{18} + 6 q^{20} + 2 q^{22} + 2 q^{23} + 12 q^{24} + 78 q^{25} - 4 q^{26} - 8 q^{28} - 9 q^{30} - 4 q^{31} - 2 q^{32} - 14 q^{33} - 18 q^{36} - 5 q^{38} + 4 q^{39} - 4 q^{40} - 4 q^{41} - 12 q^{42} + 17 q^{44} - 6 q^{46} - 84 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} + 9 q^{52} - q^{54} + 4 q^{55} - 16 q^{56} - 20 q^{57} + 5 q^{58} + 17 q^{60} + 32 q^{62} + 8 q^{63} - 8 q^{64} - 44 q^{65} - 56 q^{66} - 12 q^{68} + 5 q^{70} - 16 q^{71} + 36 q^{72} - 4 q^{73} + 19 q^{74} - 6 q^{76} - 47 q^{78} - 4 q^{79} - 11 q^{80} - 18 q^{81} - 65 q^{84} - 23 q^{86} - 14 q^{87} - 7 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} - 18 q^{94} - 44 q^{95} + 95 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) \) 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 + 16 * q^12 - 4 * q^14 - 2 * q^15 - 2 * q^16 - 4 * q^17 - 14 * q^18 + 6 * q^20 + 2 * q^22 + 2 * q^23 + 12 * q^24 + 78 * q^25 - 4 * q^26 - 8 * q^28 - 9 * q^30 - 4 * q^31 - 2 * q^32 - 14 * q^33 - 18 * q^36 - 5 * q^38 + 4 * q^39 - 4 * q^40 - 4 * q^41 - 12 * q^42 + 17 * q^44 - 6 * q^46 - 84 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 + 9 * q^52 - q^54 + 4 * q^55 - 16 * q^56 - 20 * q^57 + 5 * q^58 + 17 * q^60 + 32 * q^62 + 8 * q^63 - 8 * q^64 - 44 * q^65 - 56 * q^66 - 12 * q^68 + 5 * q^70 - 16 * q^71 + 36 * q^72 - 4 * q^73 + 19 * q^74 - 6 * q^76 - 47 * q^78 - 4 * q^79 - 11 * q^80 - 18 * q^81 - 65 * q^84 - 23 * q^86 - 14 * q^87 - 7 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 - 18 * q^94 - 44 * q^95 + 95 * q^96 - 4 * q^97 - 83 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more