LMFDB - Embedded newform 585.2.cn.a.59.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [585,2,Mod(59,585)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(585, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([10, 6, 11]))

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

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

chi := DirichletCharacter("585.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 585 = 3^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	585.cn (of order $12$, 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:	$4.67124851824$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$80$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			59.10
Character	$\chi$	$=$	585.59
Dual form			585.2.cn.a.119.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.62238 - 1.62238i) q^{2} +(-1.49998 + 0.866052i) q^{3} +3.26427i q^{4} +(0.420150 - 2.19624i) q^{5} +(3.83862 + 1.02848i) q^{6} +(-0.840913 + 0.225322i) q^{7} +(2.05113 - 2.05113i) q^{8} +(1.49991 - 2.59813i) q^{9} +O(q^{10})$	\(q+(-1.62238 - 1.62238i) q^{2} +(-1.49998 + 0.866052i) q^{3} +3.26427i q^{4} +(0.420150 - 2.19624i) q^{5} +(3.83862 + 1.02848i) q^{6} +(-0.840913 + 0.225322i) q^{7} +(2.05113 - 2.05113i) q^{8} +(1.49991 - 2.59813i) q^{9} +(-4.24479 + 2.88150i) q^{10} +(2.47311 + 2.47311i) q^{11} +(-2.82702 - 4.89635i) q^{12} +(-3.59412 - 0.286899i) q^{13} +(1.72984 + 0.998725i) q^{14} +(1.27184 + 3.65820i) q^{15} -0.126899 q^{16} +(4.50875 - 2.60313i) q^{17} +(-6.64859 + 1.78174i) q^{18} +(0.619630 - 2.31249i) q^{19} +(7.16911 + 1.37148i) q^{20} +(1.06622 - 1.06625i) q^{21} -8.02466i q^{22} +(4.18981 - 2.41899i) q^{23} +(-1.30028 + 4.85304i) q^{24} +(-4.64695 - 1.84550i) q^{25} +(5.36558 + 6.29650i) q^{26} +(0.000275971 + 5.19615i) q^{27} +(-0.735510 - 2.74496i) q^{28} -4.32379i q^{29} +(3.87159 - 7.99842i) q^{30} +(-7.29553 + 1.95483i) q^{31} +(-3.89637 - 3.89637i) q^{32} +(-5.85146 - 1.56778i) q^{33} +(-11.5382 - 3.09165i) q^{34} +(0.141551 + 1.94152i) q^{35} +(8.48098 + 4.89610i) q^{36} +(4.25495 - 1.14011i) q^{37} +(-4.75703 + 2.74647i) q^{38} +(5.63959 - 2.68235i) q^{39} +(-3.64298 - 5.36655i) q^{40} +(-8.36606 - 2.24168i) q^{41} +(-3.45969 + 6.12487e-5i) q^{42} +(-2.59899 + 4.50158i) q^{43} +(-8.07288 + 8.07288i) q^{44} +(-5.07593 - 4.38576i) q^{45} +(-10.7220 - 2.87296i) q^{46} +(-3.49854 - 0.937432i) q^{47} +(0.190346 - 0.109901i) q^{48} +(-5.40581 + 3.12105i) q^{49} +(4.54502 + 10.5333i) q^{50} +(-4.50861 + 7.80947i) q^{51} +(0.936515 - 11.7322i) q^{52} -3.57256 q^{53} +(8.42971 - 8.43061i) q^{54} +(6.47061 - 4.39246i) q^{55} +(-1.26265 + 2.18698i) q^{56} +(1.07330 + 4.00533i) q^{57} +(-7.01485 + 7.01485i) q^{58} +(-7.30012 - 7.30012i) q^{59} +(-11.9413 + 4.15162i) q^{60} +(5.41549 - 9.37990i) q^{61} +(15.0077 + 8.66467i) q^{62} +(-0.675876 + 2.52276i) q^{63} +12.8966i q^{64} +(-2.14017 + 7.77301i) q^{65} +(6.94977 + 12.0369i) q^{66} +(-7.39348 - 1.98108i) q^{67} +(8.49731 + 14.7178i) q^{68} +(-4.18968 + 7.25704i) q^{69} +(2.92023 - 3.37954i) q^{70} +(8.93092 + 2.39303i) q^{71} +(-2.25259 - 8.40559i) q^{72} +(0.0879483 + 0.0879483i) q^{73} +(-8.75286 - 5.05346i) q^{74} +(8.56865 - 1.25627i) q^{75} +(7.54858 + 2.02264i) q^{76} +(-2.63691 - 1.52242i) q^{77} +(-13.5014 - 4.79779i) q^{78} +(0.0600255 + 0.103967i) q^{79} +(-0.0533165 + 0.278700i) q^{80} +(-4.50055 - 7.79391i) q^{81} +(9.93611 + 17.2098i) q^{82} +(2.94615 - 10.9952i) q^{83} +(3.48053 + 3.48041i) q^{84} +(-3.82275 - 10.9960i) q^{85} +(11.5199 - 3.08673i) q^{86} +(3.74463 + 6.48562i) q^{87} +10.1453 q^{88} +(-16.5885 + 4.44487i) q^{89} +(1.11972 + 15.3505i) q^{90} +(3.08698 - 0.568576i) q^{91} +(7.89622 + 13.6767i) q^{92} +(9.25020 - 9.25053i) q^{93} +(4.15511 + 7.19686i) q^{94} +(-4.81845 - 2.33245i) q^{95} +(9.21896 + 2.47004i) q^{96} +(-2.46298 - 9.19196i) q^{97} +(13.8339 + 3.70677i) q^{98} +(10.1349 - 2.71602i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q - 6 q^{5} - 24 q^{6} - 4 q^{9}+O(q^{10}) $ 320 * q - 6 * q^5 - 24 * q^6 - 4 * q^9	$ 320 q - 6 q^{5} - 24 q^{6} - 4 q^{9} - 12 q^{10} - 12 q^{11} - 24 q^{14} + 10 q^{15} - 280 q^{16} - 16 q^{19} + 6 q^{20} + 8 q^{21} + 44 q^{24} - 48 q^{26} - 6 q^{30} - 4 q^{31} - 20 q^{34} + 66 q^{35} + 36 q^{36} + 20 q^{39} - 12 q^{40} + 12 q^{41} + 72 q^{44} + 4 q^{45} - 8 q^{46} - 12 q^{49} + 48 q^{50} + 84 q^{54} - 4 q^{55} - 12 q^{56} - 12 q^{59} - 76 q^{60} + 4 q^{61} - 84 q^{65} - 20 q^{66} - 12 q^{69} - 28 q^{70} - 48 q^{71} + 36 q^{74} + 12 q^{75} - 4 q^{76} - 20 q^{79} - 6 q^{80} - 48 q^{81} - 96 q^{84} - 16 q^{85} - 12 q^{86} - 60 q^{89} + 114 q^{90} - 16 q^{91} + 52 q^{94} - 12 q^{95} + 180 q^{96}+O(q^{100}) $ 320 * q - 6 * q^5 - 24 * q^6 - 4 * q^9 - 12 * q^10 - 12 * q^11 - 24 * q^14 + 10 * q^15 - 280 * q^16 - 16 * q^19 + 6 * q^20 + 8 * q^21 + 44 * q^24 - 48 * q^26 - 6 * q^30 - 4 * q^31 - 20 * q^34 + 66 * q^35 + 36 * q^36 + 20 * q^39 - 12 * q^40 + 12 * q^41 + 72 * q^44 + 4 * q^45 - 8 * q^46 - 12 * q^49 + 48 * q^50 + 84 * q^54 - 4 * q^55 - 12 * q^56 - 12 * q^59 - 76 * q^60 + 4 * q^61 - 84 * q^65 - 20 * q^66 - 12 * q^69 - 28 * q^70 - 48 * q^71 + 36 * q^74 + 12 * q^75 - 4 * q^76 - 20 * q^79 - 6 * q^80 - 48 * q^81 - 96 * q^84 - 16 * q^85 - 12 * q^86 - 60 * q^89 + 114 * q^90 - 16 * q^91 + 52 * q^94 - 12 * q^95 + 180 * q^96

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/585\mathbb{Z}\right)^\times$.

$n$	$326$	$352$	$496$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$-1$	$e\left(\frac{11}{12}\right)$

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 $

$2$	−1.62238	−	1.62238i	−1.14720	−	1.14720i	−0.987101	−	0.160098i	$-0.948819\pi$
$2$	−1.62238	−	1.62238i	−1.14720	−	1.14720i	−0.160098	−	0.987101i	$-0.551181\pi$
$3$	−1.49998	+	0.866052i	−0.866017	+	0.500015i
$3$	−1.49998	+	0.866052i	−0.866017	+	0.500015i
$4$			3.26427i			1.63213i
$5$	0.420150	−	2.19624i	0.187897	−	0.982189i
$5$	0.420150	−	2.19624i	0.187897	−	0.982189i
$6$	3.83862	+	1.02848i	1.56711	+	0.419876i
$7$	−0.840913	+	0.225322i	−0.317835	+	0.0851637i	−0.414210	−	0.910181i	$-0.635942\pi$
$7$	−0.840913	+	0.225322i	−0.317835	+	0.0851637i	0.0963746	+	0.995345i	$0.469275\pi$
$8$	2.05113	−	2.05113i	0.725182	−	0.725182i
$9$	1.49991	−	2.59813i	0.499969	−	0.866043i
$10$	−4.24479	+	2.88150i	−1.34232	+	0.911211i
$11$	2.47311	+	2.47311i	0.745670	+	0.745670i	0.973663	−	0.227993i	$-0.0732164\pi$
$11$	2.47311	+	2.47311i	0.745670	+	0.745670i	−0.227993	+	0.973663i	$0.573216\pi$
$12$	−2.82702	−	4.89635i	−0.816091	−	1.41345i
$13$	−3.59412	−	0.286899i	−0.996829	−	0.0795715i
$13$	−3.59412	−	0.286899i	−0.996829	−	0.0795715i
$14$	1.72984	+	0.998725i	0.462320	+	0.266921i
$15$	1.27184	+	3.65820i	0.328388	+	0.944543i
$16$	−0.126899			−0.0317247
$17$	4.50875	−	2.60313i	1.09353	−	0.631352i	0.159018	−	0.987276i	$-0.449167\pi$
$17$	4.50875	−	2.60313i	1.09353	−	0.631352i	0.934515	+	0.355924i	$0.115834\pi$
$18$	−6.64859	+	1.78174i	−1.56709	+	0.419960i
$19$	0.619630	−	2.31249i	0.142153	−	0.530521i	−0.857713	−	0.514129i	$-0.828115\pi$
$19$	0.619630	−	2.31249i	0.142153	−	0.530521i	0.999866	−	0.0163924i	$-0.00521810\pi$
$20$	7.16911	+	1.37148i	1.60306	+	0.306673i
$21$	1.06622	−	1.06625i	0.232667	−	0.232676i
$22$		−	8.02466i		−	1.71086i
$23$	4.18981	−	2.41899i	0.873636	−	0.504394i	0.00508135	−	0.999987i	$-0.498383\pi$
$23$	4.18981	−	2.41899i	0.873636	−	0.504394i	0.868555	+	0.495593i	$0.165049\pi$
$24$	−1.30028	+	4.85304i	−0.265418	+	0.990622i
$25$	−4.64695	−	1.84550i	−0.929390	−	0.369100i
$26$	5.36558	+	6.29650i	1.05228	+	1.23485i
$27$	0.000275971		5.19615i	5.31106e−5		1.00000i
$28$	−0.735510	−	2.74496i	−0.138998	−	0.518749i
$29$		−	4.32379i		−	0.802907i	−0.915879	−	0.401454i	$-0.868505\pi$
$29$		−	4.32379i		−	0.802907i	0.915879	−	0.401454i	$-0.131495\pi$
$30$	3.87159	−	7.99842i	0.706853	−	1.46031i
$31$	−7.29553	+	1.95483i	−1.31032	+	0.351098i	−0.845342	−	0.534226i	$-0.820603\pi$
$31$	−7.29553	+	1.95483i	−1.31032	+	0.351098i	−0.464974	+	0.885324i	$0.653937\pi$
$32$	−3.89637	−	3.89637i	−0.688788	−	0.688788i
$33$	−5.85146	−	1.56778i	−1.01861	−	0.272916i
$34$	−11.5382	−	3.09165i	−1.97879	−	0.530214i
$35$	0.141551	+	1.94152i	0.0239266	+	0.328176i
$36$	8.48098	+	4.89610i	1.41350	+	0.816016i
$37$	4.25495	−	1.14011i	0.699509	−	0.187433i	0.108498	−	0.994097i	$-0.465396\pi$
$37$	4.25495	−	1.14011i	0.699509	−	0.187433i	0.591011	+	0.806664i	$0.298729\pi$
$38$	−4.75703	+	2.74647i	−0.771691	+	0.445536i
$39$	5.63959	−	2.68235i	0.903058	−	0.429520i
$40$	−3.64298	−	5.36655i	−0.576006	−	0.848525i
$41$	−8.36606	−	2.24168i	−1.30656	−	0.350092i	−0.462633	−	0.886550i	$-0.653095\pi$
$41$	−8.36606	−	2.24168i	−1.30656	−	0.350092i	−0.843927	+	0.536458i	$0.819762\pi$
$42$	−3.45969		6.12487e-5i	−0.533841		9.45088e-6i
$43$	−2.59899	+	4.50158i	−0.396342	+	0.686484i	−0.993271	−	0.115809i	$-0.963054\pi$
$43$	−2.59899	+	4.50158i	−0.396342	+	0.686484i	0.596930	+	0.802294i	$0.296387\pi$
$44$	−8.07288	+	8.07288i	−1.21703	+	1.21703i
$45$	−5.07593	−	4.38576i	−0.756675	−	0.653791i
$46$	−10.7220	−	2.87296i	−1.58088	−	0.423594i
$47$	−3.49854	−	0.937432i	−0.510315	−	0.136738i	−0.00553180	−	0.999985i	$-0.501761\pi$
$47$	−3.49854	−	0.937432i	−0.510315	−	0.136738i	−0.504783	+	0.863246i	$0.668428\pi$
$48$	0.190346	−	0.109901i	0.0274741	−	0.0158628i
$49$	−5.40581	+	3.12105i	−0.772259	+	0.445864i
$50$	4.54502	+	10.5333i	0.642763	+	1.48963i
$51$	−4.50861	+	7.80947i	−0.631332	+	1.09354i
$52$	0.936515	−	11.7322i	0.129871	−	1.62696i
$53$	−3.57256			−0.490729			−0.245365	−	0.969431i	$-0.578908\pi$
$53$	−3.57256			−0.490729			−0.245365	+	0.969431i	$0.578908\pi$
$54$	8.42971	−	8.43061i	1.14714	−	1.14726i
$55$	6.47061	−	4.39246i	0.872497	−	0.592279i
$56$	−1.26265	+	2.18698i	−0.168729	+	0.292248i
$57$	1.07330	+	4.00533i	0.142162	+	0.530519i
$58$	−7.01485	+	7.01485i	−0.921095	+	0.921095i
$59$	−7.30012	−	7.30012i	−0.950394	−	0.950394i	0.0484322	−	0.998826i	$-0.484578\pi$
$59$	−7.30012	−	7.30012i	−0.950394	−	0.950394i	−0.998826	+	0.0484322i	$0.984578\pi$
$60$	−11.9413	+	4.15162i	−1.54162	+	0.535972i
$61$	5.41549	−	9.37990i	0.693382	−	1.20097i	−0.277341	−	0.960772i	$-0.589453\pi$
$61$	5.41549	−	9.37990i	0.693382	−	1.20097i	0.970723	−	0.240201i	$-0.0772135\pi$
$62$	15.0077	+	8.66467i	1.90597	+	1.10041i
$63$	−0.675876	+	2.52276i	−0.0851524	+	0.317838i
$64$			12.8966i			1.61208i
$65$	−2.14017	+	7.77301i	−0.265455	+	0.964123i
$66$	6.94977	+	12.0369i	0.855458	+	1.48164i
$67$	−7.39348	−	1.98108i	−0.903257	−	0.242027i	−0.222843	−	0.974854i	$-0.571534\pi$
$67$	−7.39348	−	1.98108i	−0.903257	−	0.242027i	−0.680415	+	0.732827i	$0.738200\pi$
$68$	8.49731	+	14.7178i	1.03045	+	1.78479i
$69$	−4.18968	+	7.25704i	−0.504379	+	0.873645i
$70$	2.92023	−	3.37954i	0.349035	−	0.403932i
$71$	8.93092	+	2.39303i	1.05991	+	0.284001i	0.746339	−	0.665566i	$-0.231810\pi$
$71$	8.93092	+	2.39303i	1.05991	+	0.284001i	0.313566	+	0.949566i	$0.398476\pi$
$72$	−2.25259	−	8.40559i	−0.265470	−	0.990608i
$73$	0.0879483	+	0.0879483i	0.0102936	+	0.0102936i	0.712235	−	0.701941i	$-0.247683\pi$
$73$	0.0879483	+	0.0879483i	0.0102936	+	0.0102936i	−0.701941	+	0.712235i	$0.747683\pi$
$74$	−8.75286	−	5.05346i	−1.01750	−	0.587453i
$75$	8.56865	−	1.25627i	0.989423	−	0.145062i
$76$	7.54858	+	2.02264i	0.865881	+	0.232012i
$77$	−2.63691	−	1.52242i	−0.300504	−	0.173496i
$78$	−13.5014	−	4.79779i	−1.52873	−	0.543242i
$79$	0.0600255	+	0.103967i	0.00675339	+	0.0116972i	0.869382	−	0.494140i	$-0.164517\pi$
$79$	0.0600255	+	0.103967i	0.00675339	+	0.0116972i	−0.862629	+	0.505837i	$0.831184\pi$
$80$	−0.0533165	+	0.278700i	−0.00596097	+	0.0311596i
$81$	−4.50055	−	7.79391i	−0.500061	−	0.865990i
$82$	9.93611	+	17.2098i	1.09726	+	1.90051i
$83$	2.94615	−	10.9952i	0.323382	−	1.20688i	−0.592547	−	0.805536i	$-0.701878\pi$
$83$	2.94615	−	10.9952i	0.323382	−	1.20688i	0.915929	−	0.401341i	$-0.131456\pi$
$84$	3.48053	+	3.48041i	0.379757	+	0.379744i
$85$	−3.82275	−	10.9960i	−0.414635	−	1.19268i
$86$	11.5199	−	3.08673i	1.24222	−	0.332851i
$87$	3.74463	+	6.48562i	0.401466	+	0.695331i
$88$	10.1453			1.08149
$89$	−16.5885	+	4.44487i	−1.75838	+	0.471155i	−0.986381	−	0.164474i	$-0.947407\pi$
$89$	−16.5885	+	4.44487i	−1.75838	+	0.471155i	−0.771994	+	0.635630i	$0.780741\pi$
$90$	1.11972	+	15.3505i	0.118029	+	1.61809i
$91$	3.08698	−	0.568576i	0.323604	−	0.0596030i
$92$	7.89622	+	13.6767i	0.823238	+	1.42589i
$93$	9.25020	−	9.25053i	0.959201	−	0.959235i
$94$	4.15511	+	7.19686i	0.428567	+	0.742299i
$95$	−4.81845	−	2.33245i	−0.494362	−	0.239304i
$96$	9.21896	+	2.47004i	0.940906	+	0.252097i
$97$	−2.46298	−	9.19196i	−0.250077	−	0.933302i	−0.970763	−	0.240040i	$-0.922840\pi$
$97$	−2.46298	−	9.19196i	−0.250077	−	0.933302i	0.720686	−	0.693262i	$-0.243827\pi$
$98$	13.8339	+	3.70677i	1.39743	+	0.374440i
$99$	10.1349	−	2.71602i	1.01859	−	0.272970i
$100$	6.02421	−	15.1689i	0.602421	−	1.51689i
$101$	−10.2022			−1.01516			−0.507578	−	0.861606i	$-0.669459\pi$
$101$	−10.2022			−1.01516			−0.507578	+	0.861606i	$0.669459\pi$
$102$	19.9847	−	5.35526i	1.97878	−	0.530249i
$103$	−3.36610	+	5.83026i	−0.331672	+	0.574472i	−0.982840	−	0.184461i	$-0.940946\pi$
$103$	−3.36610	+	5.83026i	−0.331672	+	0.574472i	0.651168	+	0.758934i	$0.274279\pi$
$104$	−7.96045	+	6.78352i	−0.780587	+	0.665179i
$105$	−1.89378	−	2.78965i	−0.184814	−	0.272242i
$106$	5.79607	+	5.79607i	0.562964	+	0.562964i
$107$	6.66084	−	11.5369i	0.643927	−	1.11531i	−0.340621	−	0.940201i	$-0.610637\pi$
$107$	6.66084	−	11.5369i	0.643927	−	1.11531i	0.984548	−	0.175114i	$-0.0560295\pi$
$108$	−16.9616		0.000900843i	−1.63213		8.66836e-5i
$109$	4.16631	+	4.16631i	0.399060	+	0.399060i	0.877902	−	0.478841i	$-0.158943\pi$
$109$	4.16631	+	4.16631i	0.399060	+	0.399060i	−0.478841	+	0.877902i	$0.658943\pi$
$110$	−17.6241	−	3.37156i	−1.68039	−	0.321466i
$111$	−5.39496	+	5.39515i	−0.512067	+	0.512085i
$112$	0.106711	−	0.0285930i	0.0100832	−	0.00270179i
$113$	8.46838			0.796638			0.398319	−	0.917247i	$-0.369594\pi$
$113$	8.46838			0.796638			0.398319	+	0.917247i	$0.369594\pi$
$114$	4.75688	−	8.23949i	0.445523	−	0.771699i
$115$	−3.55233	−	10.2182i	−0.331257	−	0.952850i
$116$	14.1140			1.31045
$117$	−6.13625	+	8.90766i	−0.567296	+	0.823514i
$118$			23.6872i			2.18058i
$119$	−3.20492	+	3.20492i	−0.293795	+	0.293795i
$120$	10.1121	+	4.89472i	0.923107	+	0.446825i
$121$			1.23251i			0.112046i
$122$	−24.0038	+	6.43180i	−2.17320	+	0.582308i
$123$	14.4904	−	3.88296i	1.30655	−	0.350115i
$124$	−6.38109	−	23.8146i	−0.573039	−	2.13861i
$125$	−6.00558	+	9.43043i	−0.537156	+	0.843483i
$126$	5.18942	−	2.99636i	0.462310	−	0.266937i
$127$	−2.64974	+	4.58949i	−0.235127	+	0.407251i	−0.959309	−	0.282357i	$-0.908884\pi$
$127$	−2.64974	+	4.58949i	−0.235127	+	0.407251i	0.724183	+	0.689608i	$0.242217\pi$
$128$	13.1306	−	13.1306i	1.16059	−	1.16059i
$129$	−0.000159388	−	9.00316i	−1.40333e−5	−	0.792684i
$130$	16.0830	−	9.13864i	1.41057	−	0.801511i
$131$	0.831137	+	0.479857i	0.0726167	+	0.0419253i	0.535869	−	0.844301i	$-0.319984\pi$
$131$	0.831137	+	0.479857i	0.0726167	+	0.0419253i	−0.463252	+	0.886227i	$0.653318\pi$
$132$	5.11766	−	19.1007i	0.445435	−	1.66250i
$133$			2.08422i			0.180725i
$134$	8.78100	+	15.2091i	0.758563	+	1.31387i
$135$	11.4121	+	2.18256i	0.982199	+	0.187845i
$136$	3.90867	−	14.5874i	0.335166	−	1.25086i
$137$	−5.00071	−	18.6629i	−0.427240	−	1.59448i	−0.758983	−	0.651110i	$-0.774304\pi$
$137$	−5.00071	−	18.6629i	−0.427240	−	1.59448i	0.331744	−	0.943370i	$-0.392363\pi$
$138$	18.5710	−	4.97644i	1.58087	−	0.423622i
$139$	12.7273			1.07951			0.539756	−	0.841822i	$-0.318517\pi$
$139$	12.7273			1.07951			0.539756	+	0.841822i	$0.318517\pi$
$140$	−6.33762	+	0.462062i	−0.535627	+	0.0390513i
$141$	6.05962	−	1.62379i	0.510312	−	0.136747i
$142$	−10.6070	−	18.3718i	−0.890117	−	1.54173i
$143$	−8.17911	−	9.59817i	−0.683971	−	0.802639i
$144$	−0.190336	+	0.329699i	−0.0158614	+	0.0274749i
$145$	−9.49608	−	1.81664i	−0.788607	−	0.150864i
$146$		−	0.285372i		−	0.0236176i
$147$	5.40565	−	9.36324i	0.445850	−	0.772267i
$148$	3.72162	+	13.8893i	0.305915	+	1.14169i
$149$	13.2993	−	13.2993i	1.08952	−	1.08952i	0.0939456	−	0.995577i	$-0.470052\pi$
$149$	13.2993	−	13.2993i	1.08952	−	1.08952i	0.995577	−	0.0939456i	$-0.0299480\pi$
$150$	−15.9398	−	11.8635i	−1.30148	−	0.968650i
$151$	−8.57768	−	2.29838i	−0.698041	−	0.187040i	−0.107688	−	0.994185i	$-0.534345\pi$
$151$	−8.57768	−	2.29838i	−0.698041	−	0.187040i	−0.590353	+	0.807145i	$0.701012\pi$
$152$	−3.47227	−	6.01414i	−0.281638	−	0.487812i
$153$	−0.000553015	−	15.6188i	−4.47086e−5	−	1.26270i
$154$	1.80813	+	6.74804i	0.145703	+	0.543772i
$155$	1.22806	+	16.8441i	0.0986404	+	1.35295i
$156$	8.75590	+	18.4091i	0.701033	+	1.47391i
$157$	−6.62694	−	3.82606i	−0.528887	−	0.305353i	0.211676	−	0.977340i	$-0.432108\pi$
$157$	−6.62694	−	3.82606i	−0.528887	−	0.305353i	−0.740563	+	0.671987i	$0.765441\pi$
$158$	0.0712904	−	0.266059i	0.00567156	−	0.0211665i
$159$	5.35879	−	3.09403i	0.424980	−	0.245372i
$160$	−10.1944	+	6.92031i	−0.805941	+	0.547099i
$161$	−2.97821	+	2.97821i	−0.234716	+	0.234716i
$162$	−5.34309	+	19.9463i	−0.419793	+	1.56713i
$163$	0.992837	−	3.70532i	0.0777650	−	0.290223i	−0.916081	−	0.400993i	$-0.868665\pi$
$163$	0.992837	−	3.70532i	0.0777650	−	0.290223i	0.993846	+	0.110770i	$0.0353318\pi$
$164$	7.31744	−	27.3091i	0.571396	−	2.13248i
$165$	−5.90172	+	12.1925i	−0.459448	+	0.949186i
$166$	−22.6182	+	13.0586i	−1.75551	+	1.01355i
$167$	14.0172	+	3.75589i	1.08468	+	0.290640i	0.756513	−	0.653979i	$-0.226902\pi$
$167$	14.0172	+	3.75589i	1.08468	+	0.290640i	0.328170	+	0.944619i	$0.393568\pi$
$168$	−7.74346e−5	−	4.37396i	−5.97421e−6	−	0.337458i
$169$	12.8354	+	2.06230i	0.987337	+	0.158638i
$170$	−11.6378	+	24.0417i	−0.892578	+	1.84392i
$171$	−5.07876	−	5.07840i	−0.388382	−	0.388355i
$172$	−14.6943	−	8.48379i	−1.12043	−	0.646883i
$173$	8.58250	+	4.95511i	0.652515	+	0.376730i	0.789419	−	0.613854i	$-0.210382\pi$
$173$	8.58250	+	4.95511i	0.652515	+	0.376730i	−0.136904	+	0.990584i	$0.543715\pi$
$174$	4.44694	−	16.5974i	0.337122	−	1.25824i
$175$	4.32351	+	0.504847i	0.326827	+	0.0381628i
$176$	−0.313834	−	0.313834i	−0.0236561	−	0.0236561i
$177$	17.2723	+	4.62778i	1.29827	+	0.347845i
$178$	34.1242	+	19.7016i	2.55772	+	1.47670i
$179$	5.86161	−	10.1526i	0.438118	−	0.758842i	−0.559427	−	0.828880i	$-0.688979\pi$
$179$	5.86161	−	10.1526i	0.438118	−	0.758842i	0.997544	+	0.0700378i	$0.0223120\pi$
$180$	14.3163	−	16.5692i	1.06707	−	1.23499i
$181$		−	3.24774i		−	0.241403i	−0.992689	−	0.120701i	$-0.961486\pi$
$181$		−	3.24774i		−	0.241403i	0.992689	−	0.120701i	$-0.0385143\pi$
$182$	−5.93073	−	4.08583i	−0.439615	−	0.302862i
$183$	0.000332115		18.7598i	2.45506e−5		1.38676i
$184$	3.63218	−	13.5555i	0.267768	−	0.999323i
$185$	−0.716239	−	9.82390i	−0.0526589	−	0.722268i
$186$	−30.0153		0.000531377i	−2.20083		3.89625e-5i
$187$	17.5884	+	4.71281i	1.28619	+	0.344635i
$188$	3.06003	−	11.4202i	0.223175	−	0.832902i
$189$	−1.17104	−	4.36945i	−0.0851805	−	0.317831i
$190$	4.03324	+	11.6015i	0.292602	+	0.841662i
$191$	4.53808	+	2.62006i	0.328364	+	0.189581i	0.655115	−	0.755530i	$-0.272620\pi$
$191$	4.53808	+	2.62006i	0.328364	+	0.189581i	−0.326751	+	0.945111i	$0.605954\pi$
$192$	−11.1692	−	19.3447i	−0.806064	−	1.39609i
$193$	−2.54946	+	9.51471i	−0.183514	+	0.684884i	0.811430	+	0.584450i	$0.198690\pi$
$193$	−2.54946	+	9.51471i	−0.183514	+	0.684884i	−0.994944	+	0.100434i	$0.967977\pi$
$194$	−10.9170	+	18.9088i	−0.783795	+	1.35757i
$195$	−3.52161	−	13.5129i	−0.252188	−	0.967678i
$196$	−10.1879	−	17.6460i	−0.727709	−	1.26043i
$197$	−21.5911	+	5.78532i	−1.53830	+	0.412187i	−0.925717	−	0.378217i	$-0.876537\pi$
$197$	−21.5911	+	5.78532i	−1.53830	+	0.412187i	−0.612586	+	0.790404i	$0.709871\pi$
$198$	−20.8491	−	12.0363i	−1.48168	−	0.855379i
$199$	15.5128	−	8.95634i	1.09968	−	0.634898i	0.163540	−	0.986537i	$-0.447709\pi$
$199$	15.5128	−	8.95634i	1.09968	−	0.634898i	0.936136	+	0.351638i	$0.114375\pi$
$200$	−13.3168	+	5.74612i	−0.941642	+	0.406312i
$201$	12.8058	−	3.43155i	0.903253	−	0.242043i
$202$	16.5519	+	16.5519i	1.16459	+	1.16459i
$203$	0.974244	+	3.63593i	0.0683785	+	0.255192i
$204$	−25.4922	−	14.7173i	−1.78481	−	1.03042i
$205$	−8.43827	+	17.4320i	−0.589354	+	1.21751i
$206$	14.9200	−	3.99781i	1.03953	−	0.278541i
$207$	−0.000513896	−	14.5139i	−3.57183e−5	−	1.00879i
$208$	0.456089	+	0.0364071i	0.0316241	+	0.00252438i
$209$	7.25144	−	4.18662i	0.501593	−	0.289595i
$210$	−1.45345	+	7.59833i	−0.100298	+	0.524334i
$211$	−3.88762	−	6.73356i	−0.267635	−	0.463558i	0.700616	−	0.713539i	$-0.252909\pi$
$211$	−3.88762	−	6.73356i	−0.267635	−	0.463558i	−0.968251	+	0.249981i	$0.919575\pi$
$212$		−	11.6618i		−	0.800935i
$213$	−15.4687	+	4.14513i	−1.05990	+	0.284019i
$214$	−29.5237	+	7.91086i	−2.01820	+	0.540776i
$215$	8.79459	+	7.59934i	0.599786	+	0.518271i
$216$	10.6585	+	10.6574i	0.725221	+	0.725144i
$217$	5.69444	−	3.28769i	0.386564	−	0.223183i
$218$		−	13.5187i		−	0.915604i
$219$	−0.208089	−	0.0557533i	−0.0140613	−	0.00376746i
$220$	14.3382	+	21.1218i	0.966679	+	1.42403i
$221$	−16.9518	+	8.06240i	−1.14030	+	0.542336i
$222$	17.5057		0.000309913i	1.17491		2.08000e-5i
$223$	−5.82161	+	5.82161i	−0.389844	+	0.389844i	−0.874632	−	0.484788i	$-0.838897\pi$
$223$	−5.82161	+	5.82161i	−0.389844	+	0.389844i	0.484788	+	0.874632i	$0.338897\pi$
$224$	4.15445	+	2.39857i	0.277581	+	0.160261i
$225$	−11.7648	+	9.30529i	−0.784323	+	0.620353i
$226$	−13.7390	−	13.7390i	−0.913903	−	0.913903i
$227$	−9.80488	+	2.62721i	−0.650773	+	0.174374i	−0.569078	−	0.822283i	$-0.692700\pi$
$227$	−9.80488	+	2.62721i	−0.650773	+	0.174374i	−0.0816946	+	0.996657i	$0.526033\pi$
$228$	−13.0745	+	3.50354i	−0.865877	+	0.232028i
$229$	−0.653448	−	2.43870i	−0.0431810	−	0.161154i	0.940969	−	0.338494i	$-0.109917\pi$
$229$	−0.653448	−	2.43870i	−0.0431810	−	0.161154i	−0.984150	+	0.177340i	$0.943251\pi$
$230$	−10.8146	+	22.3411i	−0.713091	+	1.47313i
$231$	5.27382		9.33654e-5i	0.346992		6.14299e-6i
$232$	−8.86863	−	8.86863i	−0.582254	−	0.582254i
$233$			17.2479i			1.12994i	0.825110	+	0.564972i	$0.191113\pi$
$233$			17.2479i			1.12994i	−0.825110	+	0.564972i	$0.808887\pi$
$234$	24.4070	−	4.49630i	1.59554	−	0.293932i
$235$	−3.52874	+	7.28978i	−0.230190	+	0.475533i
$236$	23.8295	−	23.8295i	1.55117	−	1.55117i
$237$	−0.180078	−	0.103964i	−0.0116973	−	0.00675319i
$238$	10.3992			0.674083
$239$	1.99188	+	7.43378i	0.128844	+	0.480852i	0.999947	−	0.0102476i	$-0.00326196\pi$
$239$	1.99188	+	7.43378i	0.128844	+	0.480852i	−0.871104	+	0.491099i	$0.836595\pi$
$240$	−0.161395	−	0.464221i	−0.0104180	−	0.0299653i
$241$	6.08990	+	22.7278i	0.392285	+	1.46403i	0.826356	+	0.563148i	$0.190410\pi$
$241$	6.08990	+	22.7278i	0.392285	+	1.46403i	−0.434071	+	0.900879i	$0.642923\pi$
$242$	1.99961	−	1.99961i	0.128540	−	0.128540i
$243$	13.5007	+	7.79303i	0.866070	+	0.499923i
$244$	30.6185	+	17.6776i	1.96015	+	1.13169i
$245$	4.58332	+	13.1838i	0.292818	+	0.842281i
$246$	−29.8086	−	17.2093i	−1.90053	−	1.09723i
$247$	−2.89047	+	8.13359i	−0.183916	+	0.517528i
$248$	−10.9544	+	18.9737i	−0.695608	+	1.20483i
$249$	5.10321	+	19.0441i	0.323403	+	1.20687i
$250$	25.0432	−	5.55642i	1.58387	−	0.351419i
$251$	−12.5347	−	21.7107i	−0.791181	−	1.37037i	−0.925236	−	0.379392i	$-0.876133\pi$
$251$	−12.5347	−	21.7107i	−0.791181	−	1.37037i	0.134055	−	0.990974i	$-0.457200\pi$
$252$	−8.23496	−	2.20624i	−0.518754	−	0.138980i
$253$	16.3443	+	4.37943i	1.02756	+	0.275333i
$254$	11.7448	−	3.14701i	0.736935	−	0.197461i
$255$	15.2572	+	13.1832i	0.955442	+	0.825561i
$256$	−16.8124			−1.05077
$257$	−15.7770	+	9.10887i	−0.984144	+	0.568196i	−0.903519	−	0.428549i	$-0.859025\pi$
$257$	−15.7770	+	9.10887i	−0.984144	+	0.568196i	−0.0806255	+	0.996744i	$0.525692\pi$
$258$	−14.6063	+	14.6068i	−0.909350	+	0.909382i
$259$	−3.32115	+	1.91746i	−0.206366	+	0.119145i
$260$	−25.3732	−	6.98608i	−1.57358	−	0.433258i
$261$	−11.2338	−	6.48529i	−0.695352	−	0.401429i
$262$	−0.569911	−	2.12694i	−0.0352092	−	0.131403i
$263$	11.1852			0.689707			0.344853	−	0.938657i	$-0.387929\pi$
$263$	11.1852			0.689707			0.344853	+	0.938657i	$0.387929\pi$
$264$	−15.2178	+	8.78636i	−0.936591	+	0.540763i
$265$	−1.50101	+	7.84621i	−0.0922065	+	0.481989i
$266$	3.38140	−	3.38140i	0.207327	−	0.207327i
$267$	21.0330	−	21.0337i	1.28720	−	1.28724i
$268$	6.46676	−	24.1343i	0.395020	−	1.47424i
$269$	2.54913	−	1.47174i	0.155423	−	0.0897336i	−0.420271	−	0.907399i	$-0.638065\pi$
$269$	2.54913	−	1.47174i	0.155423	−	0.0897336i	0.575695	+	0.817665i	$0.304732\pi$
$270$	−14.9739	−	22.0558i	−0.911282	−	1.34227i
$271$	4.07030	+	15.1906i	0.247253	+	0.922762i	0.972237	+	0.233996i	$0.0751804\pi$
$271$	4.07030	+	15.1906i	0.247253	+	0.922762i	−0.724984	+	0.688766i	$0.758153\pi$
$272$	−0.572155	+	0.330334i	−0.0346920	+	0.0200294i
$273$	−4.13801	+	3.52634i	−0.250444	+	0.213424i
$274$	−22.1653	+	38.3915i	−1.33906	+	2.31932i
$275$	−6.92827	−	16.0565i	−0.417791	−	0.968244i
$276$	−23.6889	−	13.6762i	−1.42590	−	0.823213i
$277$	−9.92569	+	17.1918i	−0.596377	+	1.03296i	0.396974	+	0.917830i	$0.370060\pi$
$277$	−9.92569	+	17.1918i	−0.596377	+	1.03296i	−0.993351	+	0.115125i	$0.963273\pi$
$278$	−20.6485	−	20.6485i	−1.23842	−	1.23842i
$279$	−5.86372	+	21.8868i	−0.351052	+	1.31033i
$280$	4.27263	+	3.69195i	0.255339	+	0.220636i
$281$	0.140633	−	0.524850i	0.00838947	−	0.0313099i	−0.961604	−	0.274440i	$-0.911508\pi$
$281$	0.140633	−	0.524850i	0.00838947	−	0.0313099i	0.969994	+	0.243130i	$0.0781742\pi$
$282$	−12.4654	−	7.19664i	−0.742307	−	0.428553i
$283$	6.47827	+	11.2207i	0.385093	+	0.667001i	0.991782	−	0.127938i	$-0.0408360\pi$
$283$	6.47827	+	11.2207i	0.385093	+	0.667001i	−0.606689	+	0.794939i	$0.707503\pi$
$284$	−7.81149	+	29.1529i	−0.463527	+	1.72991i
$285$	9.24762	−	0.674387i	0.547782	−	0.0399473i
$286$	−2.30227	+	28.8416i	−0.136136	+	1.70544i
$287$	7.54023			0.445086
$288$	−15.9675	+	4.27908i	−0.940893	+	0.252147i
$289$	5.05257	−	8.75130i	0.297210	−	0.514782i
$290$	12.4590	+	18.3536i	0.731618	+	1.07776i
$291$	11.6551	+	11.6547i	0.683236	+	0.683212i
$292$	−0.287087	+	0.287087i	−0.0168005	+	0.0168005i
$293$	14.1257	−	14.1257i	0.825231	−	0.825231i	−0.161622	−	0.986853i	$-0.551673\pi$
$293$	14.1257	−	14.1257i	0.825231	−	0.825231i	0.986853	+	0.161622i	$0.0516726\pi$
$294$	−23.9608	+	6.42074i	−1.39742	+	0.374465i
$295$	−19.1000	+	12.9657i	−1.11204	+	0.754890i
$296$	6.38892	−	11.0659i	0.371349	−	0.643195i
$297$	−12.8500	+	12.8513i	−0.745630	+	0.745709i
$298$	−43.1532			−2.49980
$299$	−15.7527	+	7.49208i	−0.911001	+	0.433278i
$300$	4.10081	+	27.9704i	0.236760	+	1.61487i
$301$	1.17122	−	4.37104i	0.0675079	−	0.251943i
$302$	10.1874	+	17.6452i	0.586221	+	1.01536i
$303$	15.3031	−	8.83563i	0.879142	−	0.507593i
$304$	−0.0786302	+	0.293452i	−0.00450975	+	0.0168306i
$305$	−18.3252	−	15.8347i	−1.04930	−	0.906691i
$306$	−25.3388	+	25.3406i	−1.44852	+	1.44862i
$307$	−14.0181	−	14.0181i	−0.800056	−	0.800056i	0.183048	−	0.983104i	$-0.441404\pi$
$307$	−14.0181	−	14.0181i	−0.800056	−	0.800056i	−0.983104	+	0.183048i	$0.941404\pi$
$308$	4.96959	−	8.60758i	0.283169	−	0.490462i
$309$	−0.000206433	−	11.6605i	−1.17435e−5	−	0.663344i
$310$	25.3352	−	29.3200i	1.43894	−	1.66526i
$311$	0.756418	−	1.31016i	0.0428926	−	0.0742921i	−0.843782	−	0.536686i	$-0.819676\pi$
$311$	0.756418	−	1.31016i	0.0428926	−	0.0742921i	0.886675	+	0.462394i	$0.153009\pi$
$312$	6.06568	−	17.0693i	0.343401	−	0.966361i
$313$	−12.6740	+	7.31731i	−0.716374	+	0.413599i	−0.813417	−	0.581681i	$-0.802395\pi$
$313$	−12.6740	+	7.31731i	−0.716374	+	0.413599i	0.0970426	+	0.995280i	$0.469062\pi$
$314$	4.54410	+	16.9588i	0.256438	+	0.957040i
$315$	5.25662	+	2.54433i	0.296177	+	0.143357i
$316$	−0.339377	+	0.195939i	−0.0190914	+	0.0110224i
$317$	7.25511	−	27.0764i	0.407488	−	1.52076i	−0.391933	−	0.919994i	$-0.628194\pi$
$317$	7.25511	−	27.0764i	0.407488	−	1.52076i	0.799421	−	0.600771i	$-0.205140\pi$
$318$	−13.7137	−	3.67432i	−0.769027	−	0.206046i
$319$	10.6932	−	10.6932i	0.598704	−	0.598704i
$320$	28.3241	+	5.41852i	1.58337	+	0.302905i
$321$	0.000408488		23.0738i	2.27996e−5		1.28785i
$322$	9.66362			0.538533
$323$	−3.22595	−	12.0394i	−0.179497	−	0.669891i
$324$	25.4414	−	14.6910i	1.41341	−	0.816166i
$325$	16.1722	+	7.96616i	0.897073	+	0.441883i
$326$	−7.62222	+	4.40069i	−0.422156	+	0.243732i
$327$	−9.85765	−	2.64116i	−0.545129	−	0.146057i
$328$	−21.7578	+	12.5619i	−1.20137	+	0.693614i
$329$	3.15319			0.173841
$330$	29.3558	−	10.2061i	1.61598	−	0.561826i
$331$	−27.8170	+	7.45354i	−1.52896	+	0.409684i	−0.922680	−	0.385567i	$-0.874006\pi$
$331$	−27.8170	+	7.45354i	−1.52896	+	0.409684i	−0.606280	+	0.795251i	$0.707339\pi$
$332$	35.8912	+	9.61701i	1.96978	+	0.527802i
$333$	3.41988	−	12.7650i	0.187408	−	0.699516i
$334$	−16.6478	−	28.8348i	−0.910925	−	1.57777i
$335$	−7.45729	+	15.4055i	−0.407436	+	0.841693i
$336$	−0.135301	+	0.135306i	−0.00738129	+	0.00738156i
$337$	15.9831	−	27.6835i	0.870655	−	1.50802i	0.00933450	−	0.999956i	$-0.497029\pi$
$337$	15.9831	−	27.6835i	0.870655	−	1.50802i	0.861320	−	0.508062i	$-0.169638\pi$
$338$	−17.4781	−	24.1698i	−0.950682	−	1.31466i
$339$	−12.7024	+	7.33406i	−0.689902	+	0.398331i
$340$	35.8939	−	12.4785i	1.94662	−	0.676739i
$341$	−22.8771	−	13.2081i	−1.23887	−	0.715260i
$342$	0.000583467		16.4788i	3.15503e−5		0.891073i
$343$	8.15171	−	8.15171i	0.440151	−	0.440151i
$344$	3.90245	+	14.5642i	0.210406	+	0.785246i
$345$	14.1779	+	12.2506i	0.763313	+	0.659550i
$346$	−5.88502	−	21.9632i	−0.316381	−	1.18075i
$347$	−33.9990			−1.82516			−0.912580	−	0.408897i	$-0.865913\pi$
$347$	−33.9990			−1.82516			−0.912580	+	0.408897i	$0.865913\pi$
$348$	−21.1708	+	12.2235i	−1.13487	+	0.655246i
$349$	23.9949	−	23.9949i	1.28442	−	1.28442i	0.346290	−	0.938127i	$-0.387441\pi$
$349$	23.9949	−	23.9949i	1.28442	−	1.28442i	0.938127	−	0.346290i	$-0.112559\pi$
$350$	−6.19534	−	7.83345i	−0.331155	−	0.418716i
$351$	1.48978	−	18.6757i	0.0795186	−	0.996833i
$352$		−	19.2723i		−	1.02722i
$353$	−12.9144	−	12.9144i	−0.687363	−	0.687363i	0.274285	−	0.961648i	$-0.411559\pi$
$353$	−12.9144	−	12.9144i	−0.687363	−	0.687363i	−0.961648	+	0.274285i	$0.911559\pi$
$354$	−20.5143	−	35.5304i	−1.09033	−	1.88842i
$355$	9.00800	−	18.6090i	0.478095	−	0.987664i
$356$	−14.5092	−	54.1492i	−0.768988	−	2.86990i
$357$	2.03171	−	7.58297i	0.107529	−	0.401333i
$358$	−25.9812	+	6.96165i	−1.37315	+	0.367935i
$359$	5.41457	+	5.41457i	0.285770	+	0.285770i	0.835405	−	0.549635i	$-0.185233\pi$
$359$	5.41457	+	5.41457i	0.285770	+	0.285770i	−0.549635	+	0.835405i	$0.685233\pi$
$360$	−19.4071	+	1.41562i	−1.02285	+	0.0746097i
$361$	11.4908	+	6.63423i	0.604780	+	0.349170i
$362$	−5.26909	+	5.26909i	−0.276937	+	0.276937i
$363$	−1.06742	−	1.84875i	−0.0560249	−	0.0970340i
$364$	1.85598	+	10.0767i	0.0972800	+	0.528165i
$365$	0.230107	−	0.156204i	0.0120444	−	0.00817610i
$366$	30.4351	−	30.4361i	1.59087	−	1.59092i
$367$		−	5.40401i		−	0.282087i	−0.990003	−	0.141043i	$-0.954954\pi$
$367$		−	5.40401i		−	0.282087i	0.990003	−	0.141043i	$-0.0450457\pi$
$368$	−0.531682	+	0.306967i	−0.0277158	+	0.0160017i
$369$	−18.3725	+	18.3738i	−0.956434	+	0.956502i
$370$	−14.7761	+	17.1002i	−0.768175	+	0.888995i
$371$	3.00421	−	0.804977i	0.155971	−	0.0417923i
$372$	30.1962	+	30.1951i	1.56560	+	1.56554i
$373$		−	11.6196i		−	0.601641i	−0.953681	−	0.300821i	$-0.902739\pi$
$373$		−	11.6196i		−	0.601641i	0.953681	−	0.300821i	$-0.0972605\pi$
$374$	−20.8892	−	36.1812i	−1.08016	−	1.87089i
$375$	0.841041	−	19.3466i	0.0434312	−	0.999056i
$376$	−9.09874	+	5.25316i	−0.469232	+	0.270911i
$377$	−1.24049	+	15.5402i	−0.0638885	+	0.800362i
$378$	−5.18905	+	8.98880i	−0.266896	+	0.462334i
$379$	−1.74429	+	0.467382i	−0.0895984	+	0.0240078i	−0.303340	−	0.952882i	$-0.598102\pi$
$379$	−1.74429	+	0.467382i	−0.0895984	+	0.0240078i	0.213741	+	0.976890i	$0.431435\pi$
$380$	7.61373	−	15.7287i	0.390576	−	0.806865i
$381$	−0.000162500	−	9.17898i	−8.32515e−6	−	0.470253i
$382$	−3.11176	−	11.6133i	−0.159212	−	0.594186i
$383$	10.8828	+	10.8828i	0.556086	+	0.556086i	0.928191	−	0.372105i	$-0.121364\pi$
$383$	10.8828	+	10.8828i	0.556086	+	0.556086i	−0.372105	+	0.928191i	$0.621364\pi$
$384$	−8.32389	+	31.0674i	−0.424777	+	1.58540i
$385$	−4.45150	+	5.15165i	−0.226870	+	0.262552i
$386$	19.5727	−	11.3003i	0.996225	−	0.575171i
$387$	7.79744	+	13.5045i	0.396366	+	0.686470i
$388$	30.0050	−	8.03981i	1.52327	−	0.408160i
$389$	13.3562	+	23.1336i	0.677185	+	1.17292i	0.975825	+	0.218553i	$0.0701337\pi$
$389$	13.3562	+	23.1336i	0.677185	+	1.17292i	−0.298640	+	0.954366i	$0.596533\pi$
$390$	−16.2097	+	27.6365i	−0.820810	+	1.39943i
$391$	12.5939	−	21.8132i	0.636900	−	1.10314i
$392$	−4.68634	+	17.4897i	−0.236696	+	0.883361i
$393$	−1.66227		2.94281e-5i	−0.0838506		1.48445e-6i
$394$	44.4151	+	25.6431i	2.23760	+	1.29188i
$395$	0.253557	−	0.0881486i	0.0127578	−	0.00443524i
$396$	8.86580	+	33.0829i	0.445523	+	1.66248i
$397$	−3.11828	+	11.6376i	−0.156502	+	0.584073i	0.842470	+	0.538743i	$0.181101\pi$
$397$	−3.11828	+	11.6376i	−0.156502	+	0.584073i	−0.998972	+	0.0453300i	$0.985566\pi$
$398$	−39.6984	−	10.6372i	−1.98990	−	0.533193i
$399$	−1.80504	−	3.12629i	−0.0903651	−	0.156510i
$400$	0.589692	+	0.234192i	0.0294846	+	0.0117096i
$401$	3.88123	−	14.4850i	0.193819	−	0.723344i	−0.798750	−	0.601663i	$-0.794505\pi$
$401$	3.88123	−	14.4850i	0.193819	−	0.723344i	0.992569	−	0.121681i	$-0.0388284\pi$
$402$	−26.3433	−	15.2087i	−1.31388	−	0.758540i
$403$	26.7818	−	4.93282i	1.33410	−	0.245721i
$404$		−	33.3027i		−	1.65687i
$405$	−19.0082	+	6.60968i	−0.944526	+	0.328438i
$406$	4.31828	−	7.47947i	0.214312	−	0.371200i
$407$	13.3425	+	7.70332i	0.661366	+	0.381840i
$408$	6.77047	+	25.2659i	0.335188	+	1.25085i
$409$	5.04552	+	5.04552i	0.249485	+	0.249485i	0.820759	−	0.571274i	$-0.193551\pi$
$409$	5.04552	+	5.04552i	0.249485	+	0.249485i	−0.571274	+	0.820759i	$0.693551\pi$
$410$	41.9716	−	14.5914i	2.07283	−	0.720616i
$411$	23.6640	+	23.6632i	1.16726	+	1.16722i
$412$	−19.0315	−	10.9878i	−0.937615	−	0.541332i
$413$	7.78364	+	4.49388i	0.383008	+	0.221130i
$414$	−23.5464	+	23.5480i	−1.15724	+	1.15732i
$415$	−22.9102	−	11.0901i	−1.12462	−	0.544390i
$416$	12.8862	+	15.1219i	0.631796	+	0.741412i
$417$	−19.0907	+	11.0225i	−0.934875	+	0.539772i
$418$	−18.5569	−	4.97232i	−0.907650	−	0.243204i
$419$	−2.22008	+	1.28177i	−0.108458	+	0.0626184i	−0.553248	−	0.833017i	$-0.686612\pi$
$419$	−2.22008	+	1.28177i	−0.108458	+	0.0626184i	0.444790	+	0.895635i	$0.353278\pi$
$420$	9.10617	−	6.18180i	0.444335	−	0.301641i
$421$	−1.49085	+	5.56394i	−0.0726598	+	0.271170i	−0.992692	−	0.120672i	$-0.961495\pi$
$421$	−1.49085	+	5.56394i	−0.0726598	+	0.271170i	0.920033	+	0.391842i	$0.128162\pi$
$422$	−4.61721	+	17.2317i	−0.224762	+	0.838824i
$423$	−7.68306	+	7.68360i	−0.373563	+	0.373590i
$424$	−7.32778	+	7.32778i	−0.355868	+	0.355868i
$425$	−25.7560	+	3.77570i	−1.24935	+	0.183148i
$426$	31.8212	+	18.3712i	1.54174	+	0.890090i
$427$	−2.44046	+	9.10790i	−0.118102	+	0.440762i
$428$	37.6595	+	21.7427i	1.82034	+	1.05098i
$429$	20.5810	+	7.31358i	0.993662	+	0.353103i
$430$	−1.93915	−	26.5973i	−0.0935139	−	1.28263i
$431$	−0.390115	−	1.45593i	−0.0187912	−	0.0701297i	0.955894	−	0.293713i	$-0.0948911\pi$
$431$	−0.390115	−	1.45593i	−0.0187912	−	0.0701297i	−0.974685	+	0.223584i	$0.928224\pi$
$432$	−3.50204e−5	−	0.659385i	−1.68492e−6	−	0.0317247i
$433$	−3.44411	−	5.96537i	−0.165513	−	0.286677i	0.771324	−	0.636442i	$-0.219595\pi$
$433$	−3.44411	−	5.96537i	−0.165513	−	0.286677i	−0.936837	+	0.349765i	$0.886261\pi$
$434$	−14.5725	−	3.90468i	−0.699501	−	0.187431i
$435$	15.8173	−	5.49917i	0.758381	−	0.263665i
$436$	−13.6000	+	13.6000i	−0.651320	+	0.651320i
$437$	−2.99776	−	11.1878i	−0.143402	−	0.535184i
$438$	0.247147	+	0.428054i	0.0118091	+	0.0204532i
$439$		−	29.1063i		−	1.38917i	−0.719411	−	0.694585i	$-0.755588\pi$
$439$		−	29.1063i		−	1.38917i	0.719411	−	0.694585i	$-0.244412\pi$
$440$	4.26255	−	22.2815i	0.203209	−	1.06223i
$441$	0.000663043		18.7263i	3.15735e−5		0.891728i
$442$	40.5827	+	14.4221i	1.93032	+	0.685988i
$443$	10.5655	+	18.3000i	0.501982	+	0.869459i	0.999997	+	0.00229028i	$0.000729019\pi$
$443$	10.5655	+	18.3000i	0.501982	+	0.869459i	−0.498015	+	0.867168i	$0.665938\pi$
$444$	−17.6112	−	17.6106i	−0.835791	−	0.835761i
$445$	2.79235	+	38.2998i	0.132370	+	1.81559i
$446$	18.8898			0.894458
$447$	−8.43088	+	31.4667i	−0.398767	+	1.48832i
$448$	−2.90589	−	10.8449i	−0.137291	−	0.512375i
$449$	5.37311	−	20.0527i	0.253573	−	0.946347i	−0.715306	−	0.698811i	$-0.753713\pi$
$449$	5.37311	−	20.0527i	0.253573	−	0.946347i	0.968879	−	0.247536i	$-0.0796207\pi$
$450$	34.1839	+	3.99035i	1.61144	+	0.188107i
$451$	−15.1463	−	26.2341i	−0.713209	−	1.23531i
$452$			27.6431i			1.30022i
$453$	14.8569	−	3.98118i	0.698038	−	0.187052i
$454$	20.1696	+	11.6449i	0.946608	+	0.546524i
$455$	0.0482663	−	7.01865i	0.00226276	−	0.329039i
$456$	10.4169	+	6.01396i	0.487816	+	0.281629i
$457$	13.0251	−	13.0251i	0.609289	−	0.609289i	−0.333471	−	0.942760i	$-0.608220\pi$
$457$	13.0251	−	13.0251i	0.609289	−	0.609289i	0.942760	+	0.333471i	$0.108220\pi$
$458$	−2.89637	+	5.01665i	−0.135338	+	0.234413i
$459$	13.5275	+	23.4274i	0.631410	+	1.09350i
$460$	33.3548	−	11.5958i	1.55518	−	0.540655i
$461$	1.65562	+	6.17884i	0.0771097	+	0.287777i	0.993703	−	0.112043i	$-0.0357393\pi$
$461$	1.65562	+	6.17884i	0.0771097	+	0.287777i	−0.916594	+	0.399820i	$0.869073\pi$
$462$	−8.55632	−	8.55602i	−0.398076	−	0.398062i
$463$	−24.0021	+	6.43134i	−1.11547	+	0.298890i	−0.769050	−	0.639189i	$-0.779270\pi$
$463$	−24.0021	+	6.43134i	−1.11547	+	0.298890i	−0.346422	+	0.938079i	$0.612603\pi$
$464$			0.548683i			0.0254720i
$465$	−16.4299	−	24.2023i	−0.761919	−	1.12235i
$466$	27.9827	−	27.9827i	1.29627	−	1.29627i
$467$			27.4494i			1.27021i	0.772427	+	0.635103i	$0.219042\pi$
$467$			27.4494i			1.27021i	−0.772427	+	0.635103i	$0.780958\pi$
$468$	−29.0770	−	20.0303i	−1.34408	−	0.925903i
$469$	6.66365			0.307699
$470$	17.5518	−	6.10186i	0.809604	−	0.281458i
$471$	13.2539		0.000234641i	0.610706		1.08117e-5i
$472$	−29.9469			−1.37842
$473$	−17.5605	+	4.70531i	−0.807431	+	0.216350i
$474$	0.123487	+	0.460826i	0.00567193	+	0.0211664i
$475$	−7.14709	+	9.60249i	−0.327931	+	0.440592i
$476$	−10.4617	−	10.4617i	−0.479512	−	0.479512i
$477$	−5.35852	+	9.28198i	−0.245350	+	0.424993i
$478$	8.82887	−	15.2920i	0.403823	−	0.699442i
$479$	18.9137	+	18.9137i	0.864189	+	0.864189i	0.991822	−	0.127632i	$-0.0407377\pi$
$479$	18.9137	+	18.9137i	0.864189	+	0.864189i	−0.127632	+	0.991822i	$0.540738\pi$
$480$	9.29815	−	19.2093i	0.424400	−	0.876779i
$481$	−15.6199	+	2.87695i	−0.712205	+	0.131178i
$482$	26.9931	−	46.7534i	1.22950	−	2.12956i
$483$	1.88799	−	7.04657i	0.0859064	−	0.320630i
$484$	−4.02324			−0.182875
$485$	−21.2226	+	1.54729i	−0.963667	+	0.0702588i
$486$	−9.26002	−	34.5466i	−0.420043	−	1.56707i
$487$	37.0481	+	9.92700i	1.67881	+	0.449835i	0.967464	−	0.253008i	$-0.0814200\pi$
$487$	37.0481	+	9.92700i	1.67881	+	0.449835i	0.711344	+	0.702844i	$0.248087\pi$
$488$	−8.13150	−	30.3472i	−0.368096	−	1.37375i
$489$	1.71976	+	6.41777i	0.0777701	+	0.290222i
$490$	13.9533	−	28.8251i	0.630344	−	1.30218i
$491$	−19.1712	−	33.2054i	−0.865182	−	1.49854i	−0.866866	−	0.498541i	$-0.833869\pi$
$491$	−19.1712	−	33.2054i	−0.865182	−	1.49854i	0.00168400	−	0.999999i	$-0.499464\pi$
$492$	12.6750	+	47.3004i	0.571434	+	2.13247i
$493$	−11.2554	−	19.4949i	−0.506917	−	0.878006i
$494$	17.8853	−	8.50635i	0.804697	−	0.382719i
$495$	−1.70686	−	23.3998i	−0.0767175	−	1.05174i
$496$	0.925793	−	0.248066i	0.0415694	−	0.0111385i
$497$	−8.04933			−0.361062
$498$	22.6175	−	39.1762i	1.01351	−	1.75553i
$499$	−35.3177	+	9.46334i	−1.58104	+	0.423637i	−0.939246	−	0.343244i	$-0.888474\pi$
$499$	−35.3177	+	9.46334i	−1.58104	+	0.423637i	−0.641789	+	0.766881i	$0.721808\pi$
$500$	−30.7834	−	19.6038i	−1.37668	−	0.876709i
$501$	−24.2784	+	6.50583i	−1.08468	+	0.290659i
$502$	−14.8870	+	55.5591i	−0.664440	+	2.47973i
$503$	19.3740	+	33.5567i	0.863843	+	1.49622i	0.868192	+	0.496229i	$0.165282\pi$
$503$	19.3740	+	33.5567i	0.863843	+	1.49622i	−0.00434907	+	0.999991i	$0.501384\pi$
$504$	3.78819	+	6.56081i	0.168740	+	0.292242i
$505$	−4.28645	+	22.4065i	−0.190745	+	0.997075i
$506$	−19.4116	−	33.6218i	−0.862949	−	1.49467i
$507$	−21.0389	+	8.02269i	−0.934372	+	0.356300i
$508$	−14.9813	−	8.64946i	−0.664688	−	0.383758i
$509$	41.0843	+	11.0085i	1.82103	+	0.487943i	0.996915	−	0.0784838i	$-0.0250079\pi$
$509$	41.0843	+	11.0085i	1.82103	+	0.487943i	0.824112	+	0.566427i	$0.191675\pi$
$510$	−3.36487	−	46.1412i	−0.148999	−	2.04316i
$511$	−0.0937735	−	0.0541402i	−0.00414830	−	0.00239502i
$512$	1.01501	+	1.01501i	0.0448577	+	0.0448577i
$513$	12.0162	+	3.21905i	0.530529	+	0.142125i
$514$	40.3745	+	10.8183i	1.78084	+	0.477176i
$515$	11.3904	+	9.84235i	0.501920	+	0.433706i
$516$	29.3887		0.000520284i	1.29377		2.29042e-5i
$517$	−6.33390	−	10.9706i	−0.278565	−	0.482488i
$518$	8.49904	+	2.27731i	0.373427	+	0.100059i
$519$	−17.1650		0.000303881i	−0.753460		1.33389e-5i
$520$	11.5537	+	20.3332i	0.506662	+	0.891669i
$521$			1.38577i			0.0607116i	0.999539	+	0.0303558i	$0.00966404\pi$
$521$			1.38577i			0.0607116i	−0.999539	+	0.0303558i	$0.990336\pi$
$522$	7.70386	+	28.7471i	0.337189	+	1.25823i
$523$	0.271422	+	0.156706i	0.0118685	+	0.00685226i	0.505922	−	0.862579i	$-0.331152\pi$
$523$	0.271422	+	0.156706i	0.0118685	+	0.00685226i	−0.494054	+	0.869431i	$0.664486\pi$
$524$	−1.56638	+	2.71305i	−0.0684276	+	0.118520i
$525$	−6.92242	+	2.98712i	−0.302119	+	0.130369i
$526$	−18.1466	−	18.1466i	−0.791231	−	0.791231i
$527$	−27.8051	+	27.8051i	−1.21121	+	1.21121i
$528$	0.742543	+	0.198950i	0.0323150	+	0.00865817i
$529$	0.203018	−	0.351637i	0.00882686	−	0.0152886i
$530$	15.1648	−	10.2944i	0.658716	−	0.447158i
$531$	−29.9162	+	8.01714i	−1.29825	+	0.347914i
$532$	−6.80344			−0.294967
$533$	29.4255	+	10.4571i	1.27456	+	0.452946i
$534$	−68.2484	+	0.00120824i	−2.95340	+	5.22856e-5i
$535$	−22.5393	−	19.4760i	−0.974458	−	0.842022i
$536$	−19.2284	+	11.1015i	−0.830540	+	0.479513i
$537$	0.000359475		20.3052i	1.55125e−5		0.876235i
$538$	−6.52340	−	1.74794i	−0.281244	−	0.0753590i
$539$	−21.0878	−	5.65047i	−0.908317	−	0.243383i
$540$	−7.12445	+	37.2522i	−0.306587	+	1.60308i
$541$	0.583532	−	0.583532i	0.0250880	−	0.0250880i	−0.694452	−	0.719540i	$-0.744353\pi$
$541$	0.583532	−	0.583532i	0.0250880	−	0.0250880i	0.719540	+	0.694452i	$0.244353\pi$
$542$	18.0414	−	31.2486i	0.774943	−	1.34224i
$543$	2.81271	+	4.87156i	0.120705	+	0.209059i
$544$	−27.7105	−	7.42502i	−1.18808	−	0.318345i
$545$	10.9007	−	7.39975i	0.466935	−	0.316971i
$546$	12.4345	+	0.992361i	0.532149	+	0.0424691i
$547$	24.3014	−	14.0304i	1.03905	−	0.599896i	0.119487	−	0.992836i	$-0.461875\pi$
$547$	24.3014	−	14.0304i	1.03905	−	0.599896i	0.919564	+	0.392939i	$0.128542\pi$
$548$	60.9207	−	16.3236i	2.60240	−	0.697312i
$549$	−16.2475	−	28.1391i	−0.693425	−	1.20095i
$550$	−14.8095	+	37.2902i	−0.631480	+	1.59006i
$551$	−9.99872	−	2.67915i	−0.425960	−	0.114136i
$552$	6.29154	+	23.4787i	0.267786	+	0.999319i
$553$	−0.0739023	−	0.0739023i	−0.00314264	−	0.00314264i
$554$	43.9950	−	11.7884i	1.86917	−	0.500842i
$555$	9.58236	+	14.1154i	0.406748	+	0.599166i
$556$			41.5451i			1.76191i
$557$	−5.89054	−	21.9838i	−0.249590	−	0.931484i	−0.971020	−	0.238996i	$-0.923182\pi$
$557$	−5.89054	−	21.9838i	−0.249590	−	0.931484i	0.721430	−	0.692487i	$-0.243485\pi$
$558$	45.0220	−	25.9956i	1.90593	−	1.10048i
$559$	10.6326	−	15.4336i	0.449710	−	0.652770i
$560$	−0.0179627	−	0.246376i	−0.000759063	−	0.0104113i
$561$	−30.4639	+	8.16336i	−1.28619	+	0.344657i
$562$	−1.07967	+	0.623348i	−0.0455431	+	0.0262943i
$563$		−	16.8623i		−	0.710662i	−0.934741	−	0.355331i	$-0.884368\pi$
$563$		−	16.8623i		−	0.710662i	0.934741	−	0.355331i	$-0.115632\pi$
$564$	5.30047	+	19.7802i	0.223190	+	0.832898i
$565$	3.55799	−	18.5986i	0.149686	−	0.782449i
$566$	7.69403	−	28.7145i	0.323404	−	1.20696i
$567$	5.54071	+	5.53992i	0.232688	+	0.232655i
$568$	23.2268	−	13.4100i	0.974577	−	0.562672i
$569$	−18.6829			−0.783228			−0.391614	−	0.920130i	$-0.628083\pi$
$569$	−18.6829			−0.783228			−0.391614	+	0.920130i	$0.628083\pi$
$570$	−16.0973	−	13.9091i	−0.674242	−	0.582587i
$571$	16.8316	+	9.71771i	0.704379	+	0.406673i	0.808976	−	0.587841i	$-0.200022\pi$
$571$	16.8316	+	9.71771i	0.704379	+	0.406673i	−0.104597	+	0.994515i	$0.533355\pi$
$572$	31.3310	−	26.6988i	1.31001	−	1.11633i
$573$	−9.07616		0.000160680i	−0.379162		6.71251e-6i
$574$	−12.2332	−	12.2332i	−0.510602	−	0.510602i
$575$	−23.9341	+	3.50861i	−0.998120	+	0.146319i
$576$	33.5071	+	19.3438i	1.39613	+	0.805990i
$577$	7.20156	−	7.20156i	0.299805	−	0.299805i	−0.541132	−	0.840937i	$-0.682004\pi$
$577$	7.20156	−	7.20156i	0.299805	−	0.299805i	0.840937	+	0.541132i	$0.182004\pi$
$578$	−22.3952	+	6.00077i	−0.931517	+	0.249599i
$579$	−4.41608	−	16.4799i	−0.183526	−	0.684880i
$580$	5.93000	−	30.9977i	0.246230	−	1.28711i
$581$			9.90981i			0.411128i
$582$	−0.000669505	−	37.8176i	−2.77519e−5	−	1.56759i
$583$	−8.83533	−	8.83533i	−0.365922	−	0.365922i
$584$	0.360786			0.0149294
$585$	16.9852	+	17.2192i	0.702253	+	0.711928i
$586$	−45.8346			−1.89341
$587$	7.73189	+	7.73189i	0.319129	+	0.319129i	0.848433	−	0.529303i	$-0.177547\pi$
$587$	7.73189	+	7.73189i	0.319129	+	0.319129i	−0.529303	+	0.848433i	$0.677547\pi$
$588$	30.5641	+	17.6455i	1.26044	+	0.727687i
$589$			18.0821i			0.745060i
$590$	52.0228	+	9.95218i	2.14174	+	0.409725i
$591$	27.3759	−	27.3769i	1.12610	−	1.12614i
$592$	−0.539947	+	0.144678i	−0.0221917	+	0.00594625i
$593$	3.14362	−	3.14362i	0.129093	−	0.129093i	−0.639608	−	0.768701i	$-0.720903\pi$
$593$	3.14362	−	3.14362i	0.129093	−	0.129093i	0.768701	+	0.639608i	$0.220903\pi$
$594$	41.6974	−	0.00221457i	1.71086	−	9.08650e-5i
$595$	5.69224	+	8.38534i	0.233359	+	0.343765i
$596$	43.4125	+	43.4125i	1.77825	+	1.77825i
$597$	−15.5124	+	26.8693i	−0.634879	+	1.09969i
$598$	37.7120	+	13.4019i	1.54216	+	0.548044i
$599$	8.61628	+	4.97461i	0.352051	+	0.203257i	0.665588	−	0.746319i	$-0.268181\pi$
$599$	8.61628	+	4.97461i	0.352051	+	0.203257i	−0.313537	+	0.949576i	$0.601514\pi$
$600$	14.9986	−	20.1522i	0.612315	−	0.822708i
$601$	3.30910			0.134981			0.0674905	−	0.997720i	$-0.478501\pi$
$601$	3.30910			0.134981			0.0674905	+	0.997720i	$0.478501\pi$
$602$	−8.99168	+	5.19135i	−0.366474	+	0.211584i
$603$	−16.2366	+	16.2378i	−0.661207	+	0.661254i
$604$	7.50253	−	27.9998i	0.305274	−	1.13930i
$605$	2.70689	+	0.517839i	0.110051	+	0.0210532i
$606$	−39.1624	−	10.4928i	−1.59086	−	0.426240i
$607$			37.7603i			1.53264i	0.642457	+	0.766322i	$0.277915\pi$
$607$			37.7603i			1.53264i	−0.642457	+	0.766322i	$0.722085\pi$
$608$	−11.4246	+	6.59601i	−0.463330	+	0.267504i
$609$	−4.61025	−	4.61009i	−0.186817	−	0.186810i
$610$	4.04058	+	55.4205i	0.163598	+	2.24391i
$611$	12.3052	+	4.37297i	0.497816	+	0.176911i
$612$	50.9838	−	0.00180519i	2.06090	−	7.29705e-5i
$613$	6.30965	+	23.5479i	0.254844	+	0.951091i	0.968177	+	0.250266i	$0.0805181\pi$
$613$	6.30965	+	23.5479i	0.254844	+	0.951091i	−0.713333	+	0.700825i	$0.752815\pi$
$614$			45.4855i			1.83565i
$615$	−2.43978	−	33.4558i	−0.0983814	−	1.34907i
$616$	−8.53131	+	2.28596i	−0.343736	+	0.0921039i
$617$	−9.29062	−	9.29062i	−0.374026	−	0.374026i	0.494915	−	0.868941i	$-0.335199\pi$
$617$	−9.29062	−	9.29062i	−0.374026	−	0.374026i	−0.868941	+	0.494915i	$0.835199\pi$
$618$	−18.9175	+	18.9182i	−0.760974	+	0.761001i
$619$	−44.8043	−	12.0053i	−1.80084	−	0.482532i	−0.806727	−	0.590924i	$-0.798763\pi$
$619$	−44.8043	−	12.0053i	−1.80084	−	0.482532i	−0.994108	+	0.108391i	$0.965430\pi$
$620$	−54.9835	+	4.00872i	−2.20819	+	0.160994i
$621$	12.5706	+	21.7702i	0.504441	+	0.873609i
$622$	−3.35278	+	0.898374i	−0.134434	+	0.0360215i
$623$	12.9479	−	7.47549i	0.518748	−	0.299499i
$624$	−0.715657	+	0.340387i	−0.0286492	+	0.0136264i
$625$	18.1882	+	17.1519i	0.727530	+	0.686076i
$626$	32.4335	+	8.69054i	1.29630	+	0.347344i
$627$	−7.25122	+	12.5600i	−0.289586	+	0.501598i
$628$	12.4893	−	21.6321i	0.498377	−	0.863214i
$629$	16.2166	−	16.2166i	0.646600	−	0.646600i
$630$	−4.40039	−	12.6561i	−0.175316	−	0.504233i
$631$	−12.7245	−	3.40953i	−0.506555	−	0.135731i	−0.00351463	−	0.999994i	$-0.501119\pi$
$631$	−12.7245	−	3.40953i	−0.506555	−	0.135731i	−0.503041	+	0.864263i	$0.667785\pi$
$632$	0.336370	+	0.0901300i	0.0133801	+	0.00358518i
$633$	11.6630	+	6.73336i	0.463562	+	0.267627i
$634$	−55.6990	+	32.1578i	−2.21209	+	1.27715i
$635$	8.96633	+	7.74775i	0.355818	+	0.307460i
$636$	10.0997	+	17.4925i	0.400480	+	0.693623i
$637$	20.3246	−	9.66649i	0.805288	−	0.383000i
$638$	−34.6969			−1.37366
$639$	19.6130	−	19.6144i	0.775877	−	0.775932i
$640$	−23.3210	−	34.3547i	−0.921845	−	1.35799i
$641$	−4.33195	+	7.50316i	−0.171102	+	0.296357i	−0.938805	−	0.344448i	$-0.888066\pi$
$641$	−4.33195	+	7.50316i	−0.171102	+	0.296357i	0.767704	+	0.640805i	$0.221399\pi$
$642$	37.4339	−	37.4353i	1.47740	−	1.47745i
$643$	13.6059	−	13.6059i	0.536563	−	0.536563i	−0.385955	−	0.922518i	$-0.626128\pi$
$643$	13.6059	−	13.6059i	0.536563	−	0.536563i	0.922518	+	0.385955i	$0.126128\pi$
$644$	−9.72168	−	9.72168i	−0.383088	−	0.383088i
$645$	−19.7732	−	3.78233i	−0.778568	−	0.148929i
$646$	−14.2988	+	24.7663i	−0.562580	+	0.974417i
$647$	−40.4817	−	23.3721i	−1.59150	−	0.918854i	−0.993050	−	0.117694i	$-0.962450\pi$
$647$	−40.4817	−	23.3721i	−1.59150	−	0.918854i	−0.598451	−	0.801159i	$-0.704217\pi$
$648$	−25.2175	−	6.75509i	−0.990636	−	0.265365i
$649$		−	36.1079i		−	1.41736i
$650$	−13.3134	−	39.1617i	−0.522193	−	1.53605i
$651$	−5.69426	+	9.86316i	−0.223176	+	0.386568i
$652$	12.0951	+	3.24088i	0.473682	+	0.126923i
$653$	15.6697	+	27.1408i	0.613204	+	1.06210i	0.990697	+	0.136088i	$0.0434531\pi$
$653$	15.6697	+	27.1408i	0.613204	+	1.06210i	−0.377492	+	0.926013i	$0.623214\pi$
$654$	11.7079	+	20.2779i	0.457816	+	0.792928i
$655$	1.40308	−	1.62376i	0.0548230	−	0.0634457i
$656$	1.06164	+	0.284466i	0.0414502	+	0.0111065i
$657$	0.360415	−	0.0965867i	0.0140611	−	0.00376821i
$658$	−5.11569	−	5.11569i	−0.199430	−	0.199430i
$659$	32.6627	+	18.8578i	1.27236	+	0.734596i	0.975431	−	0.220304i	$-0.0707051\pi$
$659$	32.6627	+	18.8578i	1.27236	+	0.734596i	0.296926	+	0.954900i	$0.404038\pi$
$660$	−39.7996	−	19.2648i	−1.54920	−	0.749881i
$661$	6.30367	+	1.68906i	0.245184	+	0.0656970i	0.379318	−	0.925266i	$-0.376159\pi$
$661$	6.30367	+	1.68906i	0.245184	+	0.0656970i	−0.134134	+	0.990963i	$0.542825\pi$
$662$	57.2224	+	33.0374i	2.22401	+	1.28403i
$663$	18.4450	−	26.7746i	0.716345	−	1.03984i
$664$	−16.5096	−	28.5954i	−0.640695	−	1.10972i
$665$	4.57744	+	0.875684i	0.177506	+	0.0339576i
$666$	−26.2580	+	15.1613i	−1.01748	+	0.587489i
$667$	−10.4592	−	18.1159i	−0.404982	−	0.701449i
$668$	−12.2602	+	45.7558i	−0.474363	+	1.77035i
$669$	3.69051	−	13.7742i	0.142683	−	0.532539i
$670$	37.0923	−	12.8951i	1.43300	−	0.498180i
$671$	36.5906	−	9.80441i	1.41256	−	0.378495i
$672$	−8.30889		0.000147097i	−0.320523		5.67438e-6i
$673$	24.2200			0.933613			0.466806	−	0.884360i	$-0.345404\pi$
$673$	24.2200			0.933613			0.466806	+	0.884360i	$0.345404\pi$
$674$	−70.8441	+	18.9826i	−2.72881	+	0.731183i
$675$	9.58823	−	24.1468i	0.369051	−	0.929409i
$676$	−6.73189	+	41.8981i	−0.258919	+	1.61146i
$677$	−4.70401	−	8.14759i	−0.180790	−	0.313137i	0.761360	−	0.648329i	$-0.224532\pi$
$677$	−4.70401	−	8.14759i	−0.180790	−	0.313137i	−0.942150	+	0.335192i	$0.891199\pi$
$678$	32.5069	+	8.70959i	1.24842	+	0.334490i
$679$	4.14230	+	7.17467i	0.158967	+	0.275339i
$680$	−30.3951	−	14.7133i	−1.16560	−	0.564228i
$681$	12.4319	−	12.4323i	0.476390	−	0.476407i
$682$	15.6869	+	58.5442i	0.600681	+	2.24177i
$683$	11.7130	+	3.13848i	0.448184	+	0.120091i	0.475850	−	0.879527i	$-0.342141\pi$
$683$	11.7130	+	3.13848i	0.448184	+	0.120091i	−0.0276655	+	0.999617i	$0.508807\pi$
$684$	16.5772	−	16.5784i	0.633847	−	0.633892i
$685$	−43.0893	+	3.14154i	−1.64636	+	0.120032i
$686$	−26.4504			−1.00988
$687$	3.09220	+	3.09209i	0.117975	+	0.117971i
$688$	0.329808	−	0.571244i	0.0125738	−	0.0217785i
$689$	12.8402	+	1.02497i	0.489173	+	0.0390481i
$690$	−3.12684	−	42.8772i	−0.119037	−	1.63231i
$691$	29.3474	+	29.3474i	1.11643	+	1.11643i	0.992261	+	0.124168i	$0.0396262\pi$
$691$	29.3474	+	29.3474i	1.11643	+	1.11643i	0.124168	+	0.992261i	$0.460374\pi$
$692$	−16.1748	+	28.0156i	−0.614873	+	1.06499i
$693$	−7.91057	+	4.56754i	−0.300498	+	0.173507i
$694$	55.1594	+	55.1594i	2.09382	+	2.09382i
$695$	5.34736	−	27.9521i	0.202837	−	1.06028i
$696$	20.9835	+	5.62212i	0.795378	+	0.213106i
$697$	−43.5559	+	11.6708i	−1.64980	+	0.442062i
$698$	−77.8579			−2.94697
$699$	−14.9375	−	25.8715i	−0.564990	−	0.978551i
$700$	−1.64795	+	14.1131i	−0.0622868	+	0.533424i
$701$	36.2543			1.36931			0.684653	−	0.728869i	$-0.259954\pi$
$701$	36.2543			1.36931			0.684653	+	0.728869i	$0.259954\pi$
$702$	−32.7161	+	27.8821i	−1.23479	+	1.05234i
$703$		−	10.5460i		−	0.397749i
$704$	−31.8947	+	31.8947i	−1.20208	+	1.20208i
$705$	−1.02027	−	13.9906i	−0.0384257	−	0.526918i
$706$			41.9042i			1.57709i
$707$	8.57915	−	2.29878i	0.322652	−	0.0864544i
$708$	−15.1063	+	56.3815i	−0.567730	+	2.11895i
$709$	−11.8234	−	44.1256i	−0.444037	−	1.65717i	−0.718466	−	0.695562i	$-0.755155\pi$
$709$	−11.8234	−	44.1256i	−0.444037	−	1.65717i	0.274428	−	0.961608i	$-0.411511\pi$
$710$	−44.8054	+	15.5765i	−1.68152	+	0.584577i
$711$	0.360153		1.27520e-5i	0.0135068		4.78236e-7i
$712$	−24.9081	+	43.1420i	−0.933469	+	1.61682i
$713$	−25.8382	+	25.8382i	−0.967648	+	0.967648i
$714$	−15.5987	+	9.00629i	−0.583767	+	0.337052i
$715$	−24.5163	+	13.9306i	−0.916859	+	0.520975i
$716$	33.1408	+	19.1339i	1.23853	+	0.715066i
$717$	−9.42583	−	9.42549i	−0.352014	−	0.352002i
$718$		−	17.5690i		−	0.655670i
$719$	−7.48032	−	12.9563i	−0.278969	−	0.483189i	0.692160	−	0.721744i	$-0.256659\pi$
$719$	−7.48032	−	12.9563i	−0.278969	−	0.483189i	−0.971129	+	0.238556i	$0.923326\pi$
$720$	0.644129	+	0.556548i	0.0240053	+	0.0207413i
$721$	1.51691	−	5.66119i	0.0564928	−	0.210834i
$722$	−7.87926	−	29.4058i	−0.293236	−	1.09437i
$723$	−28.8182	−	28.8172i	−1.07176	−	1.07172i
$724$	10.6015			0.394001
$725$	−7.97956	+	20.0924i	−0.296353	+	0.746214i
$726$	−1.26762	+	4.73114i	−0.0470456	+	0.175589i
$727$	3.53747	+	6.12708i	0.131197	+	0.227241i	0.924138	−	0.382058i	$-0.124784\pi$
$727$	3.53747	+	6.12708i	0.131197	+	0.227241i	−0.792941	+	0.609298i	$0.791451\pi$
$728$	5.16557	−	7.49801i	0.191449	−	0.277895i
$729$	−27.0000	+	0.00286797i	−1.00000	+	0.000106221i
$730$	−0.626746	−	0.119899i	−0.0231969	−	0.00443766i
$731$			27.0620i			1.00092i
$732$	−61.2370	+	0.00108411i	−2.26338	+	4.00699e-5i
$733$	−2.77838	−	10.3691i	−0.102622	−	0.382990i	0.895443	−	0.445177i	$-0.146859\pi$
$733$	−2.77838	−	10.3691i	−0.102622	−	0.382990i	−0.998065	+	0.0621869i	$0.980193\pi$
$734$	−8.76738	+	8.76738i	−0.323610	+	0.323610i
$735$	−18.2927	−	15.8061i	−0.674738	−	0.583016i
$736$	−25.7504	−	6.89979i	−0.949171	−	0.254329i
$737$	−13.3854	−	23.1843i	−0.493059	−	0.854004i
$738$	59.6166	−	0.00211085i	2.19452	−	7.77015e-5i
$739$	3.87842	+	14.4745i	0.142670	+	0.532452i	0.999848	+	0.0174318i	$0.00554899\pi$
$739$	3.87842	+	14.4745i	0.142670	+	0.532452i	−0.857178	+	0.515020i	$0.827784\pi$
$740$	32.0678	−	2.33799i	1.17884	−	0.0859463i
$741$	−2.70845	−	14.7036i	−0.0994972	−	0.540149i
$742$	−6.17997	−	3.56801i	−0.226874	−	0.130986i
$743$	−3.35033	+	12.5036i	−0.122912	+	0.458712i	−0.999757	−	0.0220609i	$-0.992977\pi$
$743$	−3.35033	+	12.5036i	−0.122912	+	0.458712i	0.876845	+	0.480773i	$0.159644\pi$
$744$	−0.000671802	−	37.9473i	−2.46295e−5	−	1.39122i
$745$	−23.6208	−	34.7962i	−0.865399	−	1.27484i
$746$	−18.8515	+	18.8515i	−0.690202	+	0.690202i
$747$	−24.1479	−	24.1462i	−0.883526	−	0.883464i
$748$	−15.3839	+	57.4133i	−0.562490	+	2.09924i
$749$	−3.00166	+	11.2024i	−0.109678	+	0.409325i
$750$	−32.7522	+	30.0232i	−1.19594	+	1.09629i
$751$	39.6276	−	22.8790i	1.44603	−	0.834867i	0.447790	−	0.894139i	$-0.352211\pi$
$751$	39.6276	−	22.8790i	1.44603	−	0.834867i	0.998242	+	0.0592720i	$0.0188779\pi$
$752$	0.443960	+	0.118959i	0.0161896	+	0.00433798i
$753$	37.6044	+	21.7100i	1.37038	+	0.791157i
$754$	27.2248	−	23.1996i	0.991467	−	0.844881i
$755$	−8.65171	+	17.8730i	−0.314868	+	0.650464i
$756$	14.2630	−	3.82258i	0.518742	−	0.139026i
$757$	−10.9396	−	6.31596i	−0.397605	−	0.229558i	0.287845	−	0.957677i	$-0.407061\pi$
$757$	−10.9396	−	6.31596i	−0.397605	−	0.229558i	−0.685450	+	0.728119i	$0.740395\pi$
$758$	3.58819	+	2.07164i	0.130329	+	0.0752455i
$759$	−28.3090	+	7.58590i	−1.02755	+	0.275351i
$760$	−14.6674	+	5.09909i	−0.532042	+	0.184964i
$761$	29.5170	+	29.5170i	1.06999	+	1.06999i	0.997359	+	0.0726314i	$0.0231397\pi$
$761$	29.5170	+	29.5170i	1.06999	+	1.06999i	0.0726314	+	0.997359i	$0.476860\pi$
$762$	−14.8916	+	14.8921i	−0.539465	+	0.539484i
$763$	−4.44227	−	2.56474i	−0.160821	−	0.0928500i
$764$	−8.55258	+	14.8135i	−0.309421	+	0.535934i
$765$	−34.3028	−	6.56102i	−1.24022	−	0.237214i
$766$		−	35.3123i		−	1.27588i
$767$	24.1431	+	28.3319i	0.871756	+	1.02301i
$768$	25.2183	−	14.5604i	0.909986	−	0.525402i
$769$	−1.60027	+	5.97227i	−0.0577071	+	0.215366i	−0.988758	−	0.149523i	$-0.952226\pi$
$769$	−1.60027	+	5.97227i	−0.0577071	+	0.215366i	0.931051	+	0.364889i	$0.118893\pi$
$770$	15.5800	−	1.13590i	0.561464	−	0.0409351i
$771$	15.7765	−	27.3269i	0.568179	−	0.984154i
$772$	−31.0585	−	8.32211i	−1.11782	−	0.299519i
$773$	2.09967	−	7.83607i	0.0755199	−	0.281844i	−0.917831	−	0.396972i	$-0.870061\pi$
$773$	2.09967	−	7.83607i	0.0755199	−	0.281844i	0.993351	+	0.115128i	$0.0367277\pi$
$774$	9.25898	−	34.5599i	0.332807	−	1.24223i
$775$	37.5096	+	4.37992i	1.34738	+	0.157331i
$776$	−23.9057	−	13.8020i	−0.858166	−	0.495462i
$777$	3.32104	−	5.75245i	0.119142	−	0.206368i
$778$	15.8627	−	59.2004i	0.568706	−	2.12244i
$779$	−10.3677	+	17.9574i	−0.371462	+	0.643391i
$780$	44.1097	−	11.4955i	1.57938	−	0.411604i
$781$	16.1689	+	28.0053i	0.578568	+	1.00211i
$782$	−55.8216	+	14.9574i	−1.99618	+	0.534874i
$783$	22.4671	−	0.00119324i	0.802907	−	4.26429e-5i
$784$	0.685991	−	0.396057i	0.0244997	−	0.0141449i
$785$	−11.1873	+	12.9468i	−0.399291	+	0.462092i
$786$	2.69689	+	2.69680i	0.0961950	+	0.0961916i
$787$	28.3706	+	28.3706i	1.01130	+	1.01130i	0.999935	+	0.0113688i	$0.00361889\pi$
$787$	28.3706	+	28.3706i	1.01130	+	1.01130i	0.0113688	+	0.999935i	$0.496381\pi$
$788$	−18.8848	−	70.4791i	−0.672744	−	2.51071i
$789$	−16.7776	+	9.68693i	−0.597297	+	0.344864i
$790$	−0.554378	−	0.268356i	−0.0197239	−	0.00954767i
$791$	−7.12117	+	1.90811i	−0.253200	+	0.0678446i
$792$	15.2170	−	26.3588i	0.540713	−	0.936619i
$793$	−22.1550	+	32.1588i	−0.786747	+	1.14199i
$794$	23.9397	−	13.8216i	0.849587	−	0.490509i
$795$	−4.54373	−	13.0691i	−0.161149	−	0.463515i
$796$	29.2359	+	50.6380i	1.03624	+	1.79482i
$797$		−	8.39676i		−	0.297429i	−0.988880	−	0.148714i	$-0.952487\pi$
$797$		−	8.39676i		−	0.297429i	0.988880	−	0.148714i	$-0.0475135\pi$
$798$	−2.14358	+	8.00052i	−0.0758820	+	0.283215i
$799$	−18.2143	+	4.88051i	−0.644376	+	0.172660i
$800$	10.9155	+	25.2970i	0.385920	+	0.894384i
$801$	−13.3328	+	49.7659i	−0.471093	+	1.75839i
$802$	−29.7970	+	17.2033i	−1.05217	+	0.607470i
$803$			0.435011i			0.0153512i
$804$	11.2015	+	41.8016i	0.395046	+	1.47423i
$805$	5.28958	+	7.79217i	0.186433	+	0.274638i
$806$	−51.4534	−	35.4475i	−1.81237	−	1.24859i
$807$	−2.54905	+	4.41527i	−0.0897309	+	0.155425i
$808$	−20.9260	+	20.9260i	−0.736173	+	0.736173i
$809$	−14.4051	−	8.31680i	−0.506457	−	0.292403i	0.224919	−	0.974377i	$-0.427788\pi$
$809$	−14.4051	−	8.31680i	−0.506457	−	0.292403i	−0.731376	+	0.681974i	$0.761122\pi$
$810$	41.5621	+	20.1152i	1.46034	+	0.706776i
$811$	−27.5265	−	27.5265i	−0.966587	−	0.966587i	0.0328728	−	0.999460i	$-0.489534\pi$
$811$	−27.5265	−	27.5265i	−0.966587	−	0.966587i	−0.999460	+	0.0328728i	$0.989534\pi$
$812$	−11.8686	+	3.18019i	−0.416507	+	0.111603i
$813$	−19.2612	−	19.2605i	−0.675521	−	0.675497i
$814$	−9.14899	−	34.1445i	−0.320672	−	1.19676i
$815$	−7.72063	−	3.73730i	−0.270442	−	0.130912i
$816$	0.572137	−	0.991011i	0.0200288	−	0.0346923i
$817$	8.79944	+	8.79944i	0.307854	+	0.307854i
$818$		−	16.3716i		−	0.572418i
$819$	3.15296	−	8.87320i	0.110173	−	0.310055i
$820$	−56.9028	−	27.5448i	−1.98713	−	0.961905i
$821$	25.6493	−	25.6493i	0.895168	−	0.895168i	−0.0998362	−	0.995004i	$-0.531832\pi$
$821$	25.6493	−	25.6493i	0.895168	−	0.895168i	0.995004	+	0.0998362i	$0.0318319\pi$
$822$	−0.00135933	−	76.7830i	−4.74121e−5	−	2.67811i
$823$	41.6639			1.45231			0.726156	−	0.687530i	$-0.241305\pi$
$823$	41.6639			1.45231			0.726156	+	0.687530i	$0.241305\pi$
$824$	5.05430	+	18.8629i	0.176075	+	0.657120i
$825$	24.2981	+	18.0843i	0.845951	+	0.629614i
$826$	−5.33724	−	19.9189i	−0.185706	−	0.693066i
$827$	27.1652	−	27.1652i	0.944627	−	0.944627i	−0.0539187	−	0.998545i	$-0.517171\pi$
$827$	27.1652	−	27.1652i	0.944627	−	0.944627i	0.998545	+	0.0539187i	$0.0171712\pi$
$828$	47.3773	−	0.00167749i	1.64648	−	5.82969e-5i
$829$	19.1846	+	11.0763i	0.666310	+	0.384694i	0.794677	−	0.607032i	$-0.207640\pi$
$829$	19.1846	+	11.0763i	0.666310	+	0.384694i	−0.128367	+	0.991727i	$0.540974\pi$
$830$	19.1768	+	55.1616i	0.665637	+	1.91469i
$831$	−0.000608712	−	34.3836i	−2.11160e−5	−	1.19275i
$832$	3.70003	−	46.3520i	0.128276	−	1.60697i
$833$	−16.2490	+	28.1441i	−0.562994	+	0.975134i
$834$	48.8551	+	13.0898i	1.69171	+	0.453261i
$835$	14.1382	−	29.2071i	0.489272	−	1.01075i
$836$	13.6662	+	23.6706i	0.472657	+	0.818666i
$837$	−10.1596	−	37.9082i	−0.351168	−	1.31030i
$838$	5.68135	+	1.52231i	0.196259	+	0.0525874i
$839$	−25.8328	+	6.92187i	−0.891846	+	0.238969i	−0.675511	−	0.737350i	$-0.736077\pi$
$839$	−25.8328	+	6.92187i	−0.891846	+	0.238969i	−0.216335	+	0.976319i	$0.569410\pi$
$840$	−9.60631	−	1.83755i	−0.331449	−	0.0634015i
$841$	10.3049			0.355340
$842$	11.4456	−	6.60812i	0.394441	−	0.227731i
$843$	0.243600	+	0.909063i	0.00839003	+	0.0313098i
$844$	21.9801	−	12.6902i	0.756587	−	0.436816i
$845$	9.92209	−	27.3231i	0.341330	−	0.939943i
$846$	24.9306		0.000882722i	0.857133		3.03486e-5i
$847$	−0.277711	−	1.03643i	−0.00954228	−	0.0356123i
$848$	0.453354			0.0155682
$849$	−19.4350	−	11.2203i	−0.667008	−	0.385081i
$850$	47.9118	+	35.6605i	1.64336	+	1.22315i
$851$	15.0695	−	15.0695i	0.516576	−	0.516576i
$852$	−13.5308	−	50.4941i	−0.463558	−	1.72990i
$853$	12.4365	−	46.4135i	0.425816	−	1.58917i	−0.336318	−	0.941749i	$-0.609182\pi$
$853$	12.4365	−	46.4135i	0.425816	−	1.58917i	0.762134	−	0.647419i	$-0.224152\pi$
$854$	18.7359	−	10.8172i	0.641129	−	0.370156i
$855$	−13.2872	+	9.02049i	−0.454414	+	0.308494i
$856$	−10.0014	−	37.3259i	−0.341842	−	1.27577i
$857$	19.4239	−	11.2144i	0.663509	−	0.383077i	−0.130104	−	0.991500i	$-0.541531\pi$
$857$	19.4239	−	11.2144i	0.663509	−	0.383077i	0.793613	+	0.608423i	$0.208198\pi$
$858$	−21.5249	−	45.2558i	−0.734849	−	1.54501i
$859$	15.0183	−	26.0125i	0.512418	−	0.887534i	−0.487478	−	0.873135i	$-0.662083\pi$
$859$	15.0183	−	26.0125i	0.512418	−	0.887534i	0.999896	−	0.0143992i	$-0.00458358\pi$
$860$	−24.8063	+	28.7079i	−0.845887	+	0.978930i
$861$	−11.3102	+	6.53023i	−0.385451	+	0.222550i
$862$	−1.72916	+	2.99500i	−0.0588955	+	0.102010i
$863$	16.5703	+	16.5703i	0.564058	+	0.564058i	0.930458	−	0.366400i	$-0.119410\pi$
$863$	16.5703	+	16.5703i	0.564058	+	0.564058i	−0.366400	+	0.930458i	$0.619410\pi$
$864$	20.2451	−	20.2472i	0.688751	−	0.688824i
$865$	14.4885	−	16.7673i	0.492625	−	0.570107i
$866$	−4.09045	+	15.2658i	−0.138999	+	0.518752i
$867$	0.000309858		17.5026i	1.05233e−5		0.594419i
$868$	10.7319	+	18.5882i	0.364264	+	0.630923i
$869$	−0.108673	+	0.405571i	−0.00368646	+	0.0137581i
$870$	−34.5835	−	16.7400i	−1.17249	−	0.567538i
$871$	26.0047	+	9.24141i	0.881135	+	0.313133i
$872$	17.0913			0.578783
$873$	−27.5761	−	7.38796i	−0.933311	−	0.250044i
$874$	−13.2874	+	23.0144i	−0.449452	+	0.778473i
$875$	2.92529	−	9.28336i	0.0988928	−	0.313835i
$876$	0.181994	−	0.679257i	0.00614899	−	0.0229500i
$877$	16.1756	−	16.1756i	0.546212	−	0.546212i	−0.379131	−	0.925343i	$-0.623777\pi$
$877$	16.1756	−	16.1756i	0.546212	−	0.546212i	0.925343	+	0.379131i	$0.123777\pi$
$878$	−47.2217	+	47.2217i	−1.59365	+	1.59365i
$879$	−8.95473	+	33.4219i	−0.302035	+	1.12729i
$880$	−0.821112	+	0.557398i	−0.0276797	+	0.0187899i
$881$	−14.9712	+	25.9309i	−0.504392	+	0.873633i	0.495595	+	0.868554i	$0.334950\pi$
$881$	−14.9712	+	25.9309i	−0.504392	+	0.873633i	−0.999987	+	0.00507921i	$0.998383\pi$
$882$	30.3802	−	30.3823i	1.02295	−	1.02303i
$883$	31.4644			1.05886			0.529431	−	0.848353i	$-0.322405\pi$
$883$	31.4644			1.05886			0.529431	+	0.848353i	$0.322405\pi$
$884$	−26.3178	−	55.3353i	−0.885164	−	1.86113i
$885$	17.4207	−	35.9899i	0.585591	−	1.20979i
$886$	12.5483	−	46.8309i	0.421569	−	1.57332i
$887$	6.01771	+	10.4230i	0.202055	+	0.349969i	0.949190	−	0.314702i	$-0.101905\pi$
$887$	6.01771	+	10.4230i	0.202055	+	0.349969i	−0.747135	+	0.664672i	$0.768571\pi$
$888$	0.000391813		22.1319i	1.31484e−5		0.742697i
$889$	1.19409	−	4.45640i	0.0400485	−	0.149463i
$890$	57.6068	−	66.6673i	1.93098	−	2.23469i
$891$	8.14482	−	30.4055i	0.272862	−	1.01862i
$892$	−19.0033	−	19.0033i	−0.636277	−	0.636277i
$893$	−4.33560	+	7.50948i	−0.145085	+	0.251295i
$894$	64.7292	−	37.3729i	2.16487	−	1.24994i
$895$	−19.8348	−	17.1391i	−0.663005	−	0.572898i
$896$	−8.08305	+	14.0002i	−0.270036	+	0.467715i
$897$	17.1403	−	24.8807i	0.572297	−	0.830741i
$898$	−41.2505	+	23.8160i	−1.37655	+	0.794750i
$899$	8.45228	+	31.5443i	0.281899	+	1.05206i
$900$	−30.3749	−	38.4036i	−1.01250	−	1.28012i
$901$	−16.1078	+	9.29984i	−0.536629	+	0.309823i
$902$	−17.9887	+	67.1348i	−0.598959	+	2.23534i
$903$	2.02874	+	7.57083i	0.0675123	+	0.251942i
$904$	17.3697	−	17.3697i	0.577708	−	0.577708i
$905$	−7.13282	−	1.36454i	−0.237103	−	0.0453588i
$906$	−30.5626	−	17.6446i	−1.01537	−	0.586203i
$907$	4.68889			0.155692			0.0778461	−	0.996965i	$-0.475196\pi$
$907$	4.68889			0.155692			0.0778461	+	0.996965i	$0.475196\pi$
$908$	−8.57591	−	32.0057i	−0.284602	−	1.06215i
$909$	−15.3023	+	26.5066i	−0.507547	+	0.879169i
$910$	−11.4653	+	11.3086i	−0.380070	+	0.374878i
$911$	−37.0471	+	21.3892i	−1.22743	+	0.708654i	−0.966491	−	0.256702i	$-0.917364\pi$
$911$	−37.0471	+	21.3892i	−1.22743	+	0.708654i	−0.260935	+	0.965356i	$0.584031\pi$
$912$	−0.136200	−	0.508271i	−0.00451005	−	0.0168305i
$913$	34.4784	−	19.9061i	1.14107	−	0.658796i
$914$	−42.2635			−1.39795
$915$	41.2012	+	7.88120i	1.36207	+	0.260544i
$916$	7.96057	−	2.13303i	0.263025	−	0.0704772i
$917$	−0.807035	−	0.216244i	−0.0266507	−	0.00714102i
$918$	16.0615	−	59.9551i	0.530109	−	1.97881i
$919$	13.4572	+	23.3085i	0.443912	+	0.768878i	0.997976	−	0.0635963i	$-0.0202570\pi$
$919$	13.4572	+	23.3085i	0.443912	+	0.768878i	−0.554064	+	0.832474i	$0.686924\pi$
$920$	−28.2450	−	13.6725i	−0.931211	−	0.450768i
$921$	33.1674	+	8.88654i	1.09290	+	0.292821i
$922$	7.33842	−	12.7105i	0.241678	−	0.418598i
$923$	−31.4122	−	11.1631i	−1.03395	−	0.367438i
$924$	0.000304769		17.2152i	1.00262e−5		0.566337i
$925$	−21.8766	−	2.55448i	−0.719298	−	0.0839909i
$926$	49.3747	+	28.5065i	1.62255	+	0.936782i
$927$	10.0989	+	17.4904i	0.331692	+	0.574461i
$928$	−16.8471	+	16.8471i	−0.553033	+	0.553033i
$929$	−14.5047	−	54.1323i	−0.475884	−	1.77602i	−0.618005	−	0.786174i	$-0.712059\pi$
$929$	−14.5047	−	54.1323i	−0.475884	−	1.77602i	0.142121	−	0.989849i	$-0.454608\pi$
$930$	−12.6098	+	65.9211i	−0.413491	+	2.16164i
$931$	3.86779	+	14.4348i	0.126762	+	0.473081i
$932$	−56.3016			−1.84422
$933$	4.63888e−5		2.62031i	1.51870e−6		0.0857851i
$934$	44.5335	−	44.5335i	1.45718	−	1.45718i
$935$	17.7402	−	36.6484i	0.580168	−	1.19853i
$936$	5.68452	+	30.8569i	0.185804	+	1.00859i
$937$		−	43.3835i		−	1.41728i	−0.705571	−	0.708639i	$-0.749309\pi$
$937$		−	43.3835i		−	1.41728i	0.705571	−	0.708639i	$-0.250691\pi$
$938$	−10.8110	−	10.8110i	−0.352992	−	0.352992i
$939$	12.6736	−	21.9522i	0.413586	−	0.716381i
$940$	−23.7958	−	11.5187i	−0.776133	−	0.375700i
$941$	−5.62590	−	20.9961i	−0.183399	−	0.684455i	−0.994968	−	0.100197i	$-0.968053\pi$
$941$	−5.62590	−	20.9961i	−0.183399	−	0.684455i	0.811569	−	0.584257i	$-0.198614\pi$
$942$	−21.5033	−	21.5025i	−0.700614	−	0.700590i
$943$	−40.4748	+	10.8452i	−1.31804	+	0.353168i
$944$	0.926375	+	0.926375i	0.0301509	+	0.0301509i
$945$	−10.0884	+	0.736059i	−0.328175	+	0.0239440i
$946$	36.1236	+	20.8560i	1.17448	+	0.678087i
$947$	4.06166	−	4.06166i	0.131986	−	0.131986i	−0.638027	−	0.770014i	$-0.720249\pi$
$947$	4.06166	−	4.06166i	0.131986	−	0.131986i	0.770014	+	0.638027i	$0.220249\pi$
$948$	0.339366	−	0.587823i	0.0110221	−	0.0190916i
$949$	−0.290864	−	0.341329i	−0.00944185	−	0.0110800i
$950$	27.1743	−	3.98360i	0.881650	−	0.129245i
$951$	12.5671	+	46.8976i	0.407515	+	1.52076i
$952$			13.1474i			0.426110i
$953$	−34.0443	+	19.6555i	−1.10280	+	0.636704i	−0.936956	−	0.349447i	$-0.886370\pi$
$953$	−34.0443	+	19.6555i	−1.10280	+	0.636704i	−0.165848	+	0.986151i	$0.553036\pi$
$954$	23.7525	−	6.36537i	0.769016	−	0.206086i
$955$	7.66096	−	8.86590i	0.247903	−	0.286894i
$956$	−24.2658	+	6.50201i	−0.784814	+	0.210290i
$957$	−6.77876	+	25.3005i	−0.219126	+	0.817848i
$958$		−	61.3706i		−	1.98279i
$959$	8.41032	+	14.5671i	0.271583	+	0.470396i
$960$	−47.1784	+	16.4024i	−1.52268	+	0.529387i
$961$	22.5566	−	13.0231i	0.727633	−	0.420099i
$962$	30.0090	+	20.6739i	0.967528	+	0.666555i
$963$	−19.9837	−	34.6100i	−0.643967	−	1.11529i
$964$	−74.1896	+	19.8790i	−2.38949	+	0.640261i
$965$	19.8254	+	9.59683i	0.638203	+	0.308933i
$966$	−14.4953	+	8.36920i	−0.466378	+	0.269275i
$967$	10.5055	+	39.2070i	0.337834	+	1.26081i	0.900764	+	0.434308i	$0.143007\pi$
$967$	10.5055	+	39.2070i	0.337834	+	1.26081i	−0.562931	+	0.826504i	$0.690326\pi$
$968$	2.52803	+	2.52803i	0.0812541	+	0.0812541i
$969$	15.2656	+	15.2651i	0.490403	+	0.490386i
$970$	36.9415	+	31.9209i	1.18612	+	1.02492i
$971$	−27.1769	+	15.6906i	−0.872148	+	0.503535i	−0.868061	−	0.496457i	$-0.834634\pi$
$971$	−27.1769	+	15.6906i	−0.872148	+	0.503535i	−0.00408644	+	0.999992i	$0.501301\pi$
$972$	−25.4385	+	44.0698i	−0.815941	+	1.41354i
$973$	−10.7025	+	2.86773i	−0.343107	+	0.0919352i
$974$	−44.0008	−	76.2117i	−1.40988	−	2.44198i
$975$	−31.1572	+	2.05686i	−0.997828	+	0.0658722i
$976$	−0.687218	+	1.19030i	−0.0219973	+	0.0381005i
$977$	−10.4917	+	39.1554i	−0.335658	+	1.25269i	0.567496	+	0.823376i	$0.307912\pi$
$977$	−10.4917	+	39.1554i	−0.335658	+	1.25269i	−0.903154	+	0.429317i	$0.858754\pi$
$978$	7.62198	−	13.2022i	0.243724	−	0.422160i
$979$	−52.0177	−	30.0324i	−1.66249	−	0.959841i
$980$	−43.0354	+	14.9612i	−1.37471	+	0.477917i
$981$	17.0737	−	4.57553i	0.545122	−	0.146086i
$982$	−22.7690	+	84.9750i	−0.726587	+	2.71166i
$983$	−41.9851	−	11.2499i	−1.33912	−	0.358815i	−0.483011	−	0.875615i	$-0.660457\pi$
$983$	−41.9851	−	11.2499i	−1.33912	−	0.358815i	−0.856107	+	0.516799i	$0.827123\pi$
$984$	21.7571	−	37.6860i	0.693592	−	1.20139i
$985$	3.63445	+	49.8500i	0.115803	+	1.58835i
$986$	−13.3677	+	49.8888i	−0.425713	+	1.58878i
$987$	−4.72974	+	2.73083i	−0.150549	+	0.0869232i
$988$	−26.5502	−	9.43527i	−0.844674	−	0.300176i
$989$			25.1477i			0.799650i
$990$	−35.1943	+	40.7326i	−1.11855	+	1.29457i
$991$	−10.5547	+	18.2813i	−0.335281	+	0.580723i	−0.983539	−	0.180698i	$-0.942164\pi$
$991$	−10.5547	+	18.2813i	−0.335281	+	0.580723i	0.648258	+	0.761421i	$0.275498\pi$
$992$	36.0429	+	20.8094i	1.14436	+	0.660698i
$993$	35.2699	−	35.2712i	1.11926	−	1.11930i
$994$	13.0591	+	13.0591i	0.414210	+	0.414210i
$995$	−13.1526	−	37.8329i	−0.416964	−	1.19938i
$996$	−62.1650	+	16.6582i	−1.96977	+	0.527837i
$997$	5.18479	+	2.99344i	0.164204	+	0.0948032i	0.579850	−	0.814723i	$-0.303111\pi$
$997$	5.18479	+	2.99344i	0.164204	+	0.0948032i	−0.415646	+	0.909526i	$0.636444\pi$
$998$	72.6520	+	41.9457i	2.29976	+	1.32777i
$999$	5.92536	+	22.1090i	0.187470	+	0.699499i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	585.2.cn.a.59.10	✓	320
5.4	even	2	inner	585.2.cn.a.59.71	yes	320
9.2	odd	6		585.2.de.a.254.71	yes	320
13.2	odd	12		585.2.de.a.509.10	yes	320
45.29	odd	6		585.2.de.a.254.10	yes	320
65.54	odd	12		585.2.de.a.509.71	yes	320
117.2	even	12	inner	585.2.cn.a.119.71	yes	320
585.119	even	12	inner	585.2.cn.a.119.10	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
585.2.cn.a.59.10	✓	320	1.1	even	1	trivial
585.2.cn.a.59.71	yes	320	5.4	even	2	inner
585.2.cn.a.119.10	yes	320	585.119	even	12	inner
585.2.cn.a.119.71	yes	320	117.2	even	12	inner
585.2.de.a.254.10	yes	320	45.29	odd	6
585.2.de.a.254.71	yes	320	9.2	odd	6
585.2.de.a.509.10	yes	320	13.2	odd	12
585.2.de.a.509.71	yes	320	65.54	odd	12

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:	\( N \)	\(=\)	\( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	585.cn (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.62238 - 1.62238i) q^{2} +(-1.49998 + 0.866052i) q^{3} +3.26427i q^{4} +(0.420150 - 2.19624i) q^{5} +(3.83862 + 1.02848i) q^{6} +(-0.840913 + 0.225322i) q^{7} +(2.05113 - 2.05113i) q^{8} +(1.49991 - 2.59813i) q^{9} +O(q^{10})\)	\(q+(-1.62238 - 1.62238i) q^{2} +(-1.49998 + 0.866052i) q^{3} +3.26427i q^{4} +(0.420150 - 2.19624i) q^{5} +(3.83862 + 1.02848i) q^{6} +(-0.840913 + 0.225322i) q^{7} +(2.05113 - 2.05113i) q^{8} +(1.49991 - 2.59813i) q^{9} +(-4.24479 + 2.88150i) q^{10} +(2.47311 + 2.47311i) q^{11} +(-2.82702 - 4.89635i) q^{12} +(-3.59412 - 0.286899i) q^{13} +(1.72984 + 0.998725i) q^{14} +(1.27184 + 3.65820i) q^{15} -0.126899 q^{16} +(4.50875 - 2.60313i) q^{17} +(-6.64859 + 1.78174i) q^{18} +(0.619630 - 2.31249i) q^{19} +(7.16911 + 1.37148i) q^{20} +(1.06622 - 1.06625i) q^{21} -8.02466i q^{22} +(4.18981 - 2.41899i) q^{23} +(-1.30028 + 4.85304i) q^{24} +(-4.64695 - 1.84550i) q^{25} +(5.36558 + 6.29650i) q^{26} +(0.000275971 + 5.19615i) q^{27} +(-0.735510 - 2.74496i) q^{28} -4.32379i q^{29} +(3.87159 - 7.99842i) q^{30} +(-7.29553 + 1.95483i) q^{31} +(-3.89637 - 3.89637i) q^{32} +(-5.85146 - 1.56778i) q^{33} +(-11.5382 - 3.09165i) q^{34} +(0.141551 + 1.94152i) q^{35} +(8.48098 + 4.89610i) q^{36} +(4.25495 - 1.14011i) q^{37} +(-4.75703 + 2.74647i) q^{38} +(5.63959 - 2.68235i) q^{39} +(-3.64298 - 5.36655i) q^{40} +(-8.36606 - 2.24168i) q^{41} +(-3.45969 + 6.12487e-5i) q^{42} +(-2.59899 + 4.50158i) q^{43} +(-8.07288 + 8.07288i) q^{44} +(-5.07593 - 4.38576i) q^{45} +(-10.7220 - 2.87296i) q^{46} +(-3.49854 - 0.937432i) q^{47} +(0.190346 - 0.109901i) q^{48} +(-5.40581 + 3.12105i) q^{49} +(4.54502 + 10.5333i) q^{50} +(-4.50861 + 7.80947i) q^{51} +(0.936515 - 11.7322i) q^{52} -3.57256 q^{53} +(8.42971 - 8.43061i) q^{54} +(6.47061 - 4.39246i) q^{55} +(-1.26265 + 2.18698i) q^{56} +(1.07330 + 4.00533i) q^{57} +(-7.01485 + 7.01485i) q^{58} +(-7.30012 - 7.30012i) q^{59} +(-11.9413 + 4.15162i) q^{60} +(5.41549 - 9.37990i) q^{61} +(15.0077 + 8.66467i) q^{62} +(-0.675876 + 2.52276i) q^{63} +12.8966i q^{64} +(-2.14017 + 7.77301i) q^{65} +(6.94977 + 12.0369i) q^{66} +(-7.39348 - 1.98108i) q^{67} +(8.49731 + 14.7178i) q^{68} +(-4.18968 + 7.25704i) q^{69} +(2.92023 - 3.37954i) q^{70} +(8.93092 + 2.39303i) q^{71} +(-2.25259 - 8.40559i) q^{72} +(0.0879483 + 0.0879483i) q^{73} +(-8.75286 - 5.05346i) q^{74} +(8.56865 - 1.25627i) q^{75} +(7.54858 + 2.02264i) q^{76} +(-2.63691 - 1.52242i) q^{77} +(-13.5014 - 4.79779i) q^{78} +(0.0600255 + 0.103967i) q^{79} +(-0.0533165 + 0.278700i) q^{80} +(-4.50055 - 7.79391i) q^{81} +(9.93611 + 17.2098i) q^{82} +(2.94615 - 10.9952i) q^{83} +(3.48053 + 3.48041i) q^{84} +(-3.82275 - 10.9960i) q^{85} +(11.5199 - 3.08673i) q^{86} +(3.74463 + 6.48562i) q^{87} +10.1453 q^{88} +(-16.5885 + 4.44487i) q^{89} +(1.11972 + 15.3505i) q^{90} +(3.08698 - 0.568576i) q^{91} +(7.89622 + 13.6767i) q^{92} +(9.25020 - 9.25053i) q^{93} +(4.15511 + 7.19686i) q^{94} +(-4.81845 - 2.33245i) q^{95} +(9.21896 + 2.47004i) q^{96} +(-2.46298 - 9.19196i) q^{97} +(13.8339 + 3.70677i) q^{98} +(10.1349 - 2.71602i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q - 6 q^{5} - 24 q^{6} - 4 q^{9}+O(q^{10}) \) 320 * q - 6 * q^5 - 24 * q^6 - 4 * q^9	\( 320 q - 6 q^{5} - 24 q^{6} - 4 q^{9} - 12 q^{10} - 12 q^{11} - 24 q^{14} + 10 q^{15} - 280 q^{16} - 16 q^{19} + 6 q^{20} + 8 q^{21} + 44 q^{24} - 48 q^{26} - 6 q^{30} - 4 q^{31} - 20 q^{34} + 66 q^{35} + 36 q^{36} + 20 q^{39} - 12 q^{40} + 12 q^{41} + 72 q^{44} + 4 q^{45} - 8 q^{46} - 12 q^{49} + 48 q^{50} + 84 q^{54} - 4 q^{55} - 12 q^{56} - 12 q^{59} - 76 q^{60} + 4 q^{61} - 84 q^{65} - 20 q^{66} - 12 q^{69} - 28 q^{70} - 48 q^{71} + 36 q^{74} + 12 q^{75} - 4 q^{76} - 20 q^{79} - 6 q^{80} - 48 q^{81} - 96 q^{84} - 16 q^{85} - 12 q^{86} - 60 q^{89} + 114 q^{90} - 16 q^{91} + 52 q^{94} - 12 q^{95} + 180 q^{96}+O(q^{100}) \) 320 * q - 6 * q^5 - 24 * q^6 - 4 * q^9 - 12 * q^10 - 12 * q^11 - 24 * q^14 + 10 * q^15 - 280 * q^16 - 16 * q^19 + 6 * q^20 + 8 * q^21 + 44 * q^24 - 48 * q^26 - 6 * q^30 - 4 * q^31 - 20 * q^34 + 66 * q^35 + 36 * q^36 + 20 * q^39 - 12 * q^40 + 12 * q^41 + 72 * q^44 + 4 * q^45 - 8 * q^46 - 12 * q^49 + 48 * q^50 + 84 * q^54 - 4 * q^55 - 12 * q^56 - 12 * q^59 - 76 * q^60 + 4 * q^61 - 84 * q^65 - 20 * q^66 - 12 * q^69 - 28 * q^70 - 48 * q^71 + 36 * q^74 + 12 * q^75 - 4 * q^76 - 20 * q^79 - 6 * q^80 - 48 * q^81 - 96 * q^84 - 16 * q^85 - 12 * q^86 - 60 * q^89 + 114 * q^90 - 16 * q^91 + 52 * q^94 - 12 * q^95 + 180 * q^96

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more