LMFDB - Embedded newform 44.2.g.a.35.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [44,2,Mod(7,44)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(44, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 7]))

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

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

chi := DirichletCharacter("44.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 44 = 2^{2} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	44.g (of order $10$, 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:	$0.351341768894$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{10})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 5 x^{15} + 13 x^{14} - 25 x^{13} + 35 x^{12} - 30 x^{11} - 2 x^{10} + 60 x^{9} - 116 x^{8} + \cdots + 256 $ x^16 - 5x^15 + 13x^14 - 25x^13 + 35x^12 - 30x^11 - 2x^10 + 60x^9 - 116x^8 + 120x^7 - 8x^6 - 240x^5 + 560x^4 - 800x^3 + 832x^2 - 640*x + 256
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			35.3
Root			$0.656642 + 1.25253i$ of defining polynomial
Character	$\chi$	$=$	44.35
Dual form			44.2.g.a.39.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.656642 + 1.25253i) q^{2} +(0.539857 + 0.743049i) q^{3} +(-1.13764 - 1.64492i) q^{4} +(0.529876 + 1.63079i) q^{5} +(-1.28518 + 0.188268i) q^{6} +(-1.93399 - 1.40513i) q^{7} +(2.80733 - 0.344804i) q^{8} +(0.666375 - 2.05089i) q^{9} +(-2.39055 - 0.407162i) q^{10} +(2.65349 - 1.98973i) q^{11} +(0.608093 - 1.73335i) q^{12} +(-1.52988 - 0.497087i) q^{13} +(3.02990 - 1.49971i) q^{14} +(-0.925700 + 1.27412i) q^{15} +(-1.41153 + 3.74267i) q^{16} +(-5.74986 + 1.86824i) q^{17} +(2.13122 + 2.18135i) q^{18} +(-1.07237 + 0.779122i) q^{19} +(2.07971 - 2.72686i) q^{20} -2.19562i q^{21} +(0.749794 + 4.63010i) q^{22} +7.25726i q^{23} +(1.77176 + 1.89984i) q^{24} +(1.66637 - 1.21069i) q^{25} +(1.62719 - 1.58980i) q^{26} +(4.50418 - 1.46350i) q^{27} +(-0.111131 + 4.77980i) q^{28} +(-0.318958 + 0.439008i) q^{29} +(-0.988012 - 1.99610i) q^{30} +(-7.82777 - 2.54340i) q^{31} +(-3.76092 - 4.22558i) q^{32} +(2.91097 + 0.897503i) q^{33} +(1.43557 - 8.42861i) q^{34} +(1.26669 - 3.89848i) q^{35} +(-4.13165 + 1.23705i) q^{36} +(-0.299076 - 0.217291i) q^{37} +(-0.271708 - 1.85477i) q^{38} +(-0.456554 - 1.40513i) q^{39} +(2.04984 + 4.39547i) q^{40} +(2.99295 + 4.11944i) q^{41} +(2.75007 + 1.44173i) q^{42} +9.45922 q^{43} +(-6.29167 - 2.10118i) q^{44} +3.69767 q^{45} +(-9.08991 - 4.76542i) q^{46} +(-2.35548 - 3.24205i) q^{47} +(-3.54301 + 0.971666i) q^{48} +(-0.397175 - 1.22238i) q^{49} +(0.422212 + 2.88217i) q^{50} +(-4.49229 - 3.26384i) q^{51} +(0.922785 + 3.08203i) q^{52} +(-0.765944 + 2.35733i) q^{53} +(-1.12456 + 6.60259i) q^{54} +(4.65085 + 3.27297i) q^{55} +(-5.91385 - 3.27781i) q^{56} +(-1.15785 - 0.376209i) q^{57} +(-0.340428 - 0.687775i) q^{58} +(-4.14490 + 5.70497i) q^{59} +(3.14894 + 0.0732133i) q^{60} +(9.41156 - 3.05800i) q^{61} +(8.32571 - 8.13438i) q^{62} +(-4.17053 + 3.03007i) q^{63} +(7.76222 - 1.93596i) q^{64} -2.75830i q^{65} +(-3.03561 + 3.05672i) q^{66} +4.79085i q^{67} +(9.61440 + 7.33267i) q^{68} +(-5.39250 + 3.91788i) q^{69} +(4.05119 + 4.14647i) q^{70} +(3.34001 - 1.08524i) q^{71} +(1.16358 - 5.98730i) q^{72} +(-1.23553 + 1.70056i) q^{73} +(0.468549 - 0.231918i) q^{74} +(1.79921 + 0.584598i) q^{75} +(2.50157 + 0.877601i) q^{76} +(-7.92764 + 0.119627i) q^{77} +(2.05975 + 0.350820i) q^{78} +(0.797547 - 2.45460i) q^{79} +(-6.85145 - 0.318767i) q^{80} +(-1.71472 - 1.24581i) q^{81} +(-7.12500 + 1.04375i) q^{82} +(-1.22709 - 3.77660i) q^{83} +(-3.61162 + 2.49783i) q^{84} +(-6.09343 - 8.38688i) q^{85} +(-6.21132 + 11.8479i) q^{86} -0.498396 q^{87} +(6.76315 - 6.50075i) q^{88} -8.45225 q^{89} +(-2.42804 + 4.63143i) q^{90} +(2.26030 + 3.11103i) q^{91} +(11.9376 - 8.25618i) q^{92} +(-2.33600 - 7.18948i) q^{93} +(5.60746 - 0.821443i) q^{94} +(-1.83881 - 1.33597i) q^{95} +(1.10945 - 5.07575i) q^{96} +(-2.57295 + 7.91872i) q^{97} +(1.79186 + 0.305193i) q^{98} +(-2.31249 - 6.76791i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q - 5 q^{2} - q^{4} - 6 q^{5} - 5 q^{6} - 5 q^{8} - 10 q^{9} - 22 q^{12} - 10 q^{13} + 8 q^{14} + 23 q^{16} - 10 q^{17} + 20 q^{18} + 16 q^{20} + 17 q^{22} + 25 q^{24} + 6 q^{25} - 4 q^{26} + 20 q^{28}+ \cdots - 68 q^{97}+O(q^{100}) $ 16 * q - 5 * q^2 - q^4 - 6 * q^5 - 5 * q^6 - 5 * q^8 - 10 * q^9 - 22 * q^12 - 10 * q^13 + 8 * q^14 + 23 * q^16 - 10 * q^17 + 20 * q^18 + 16 * q^20 + 17 * q^22 + 25 * q^24 + 6 * q^25 - 4 * q^26 + 20 * q^28 - 10 * q^29 - 12 * q^33 - 6 * q^34 - 30 * q^36 + 18 * q^37 - 38 * q^38 - 40 * q^40 + 10 * q^41 - 26 * q^42 - 28 * q^44 + 40 * q^45 - 30 * q^46 - 36 * q^48 + 6 * q^49 - 15 * q^50 - 10 * q^52 + 38 * q^53 - 12 * q^56 + 30 * q^58 + 52 * q^60 - 10 * q^61 + 70 * q^62 + 23 * q^64 + 36 * q^66 + 60 * q^68 - 16 * q^69 + 12 * q^70 + 45 * q^72 - 30 * q^73 + 40 * q^74 + 2 * q^77 + 4 * q^78 - 28 * q^80 - 4 * q^81 - 59 * q^82 - 10 * q^84 - 50 * q^85 - 39 * q^86 - 53 * q^88 - 36 * q^89 - 50 * q^90 + 36 * q^92 - 38 * q^93 - 30 * q^94 - 68 * q^97

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/44\mathbb{Z}\right)^\times$.

$n$	$13$	$23$
$\chi(n)$	$e\left(\frac{1}{10}\right)$	$-1$

Coefficient data

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

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

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

$2$	−0.656642	+	1.25253i	−0.464316	+	0.885670i
$2$	−0.656642	+	1.25253i	−0.464316	+	0.885670i
$3$	0.539857	+	0.743049i	0.311686	+	0.428999i	0.935906	−	0.352249i	$-0.114583\pi$
$3$	0.539857	+	0.743049i	0.311686	+	0.428999i	−0.624220	+	0.781249i	$0.714583\pi$
$4$	−1.13764	−	1.64492i	−0.568822	−	0.822461i
$5$	0.529876	+	1.63079i	0.236968	+	0.729312i	0.996854	+	0.0792561i	$0.0252545\pi$
$5$	0.529876	+	1.63079i	0.236968	+	0.729312i	−0.759886	+	0.650056i	$0.774746\pi$
$6$	−1.28518	+	0.188268i	−0.524673	+	0.0768600i
$7$	−1.93399	−	1.40513i	−0.730981	−	0.531089i	0.158893	−	0.987296i	$-0.449208\pi$
$7$	−1.93399	−	1.40513i	−0.730981	−	0.531089i	−0.889874	+	0.456207i	$0.849208\pi$
$8$	2.80733	−	0.344804i	0.992542	−	0.121907i
$9$	0.666375	−	2.05089i	0.222125	−	0.683630i
$10$	−2.39055	−	0.407162i	−0.755957	−	0.128756i
$11$	2.65349	−	1.98973i	0.800056	−	0.599925i
$11$	2.65349	−	1.98973i	0.800056	−	0.599925i
$12$	0.608093	−	1.73335i	0.175541	−	0.500374i
$13$	−1.52988	−	0.497087i	−0.424311	−	0.137867i	0.0890746	−	0.996025i	$-0.471609\pi$
$13$	−1.52988	−	0.497087i	−0.424311	−	0.137867i	−0.513386	+	0.858158i	$0.671609\pi$
$14$	3.02990	−	1.49971i	0.809775	−	0.400815i
$15$	−0.925700	+	1.27412i	−0.239015	+	0.328976i
$16$	−1.41153	+	3.74267i	−0.352884	+	0.935667i
$17$	−5.74986	+	1.86824i	−1.39455	+	0.453115i	−0.907423	−	0.420218i	$-0.861954\pi$
$17$	−5.74986	+	1.86824i	−1.39455	+	0.453115i	−0.487123	+	0.873334i	$0.661954\pi$
$18$	2.13122	+	2.18135i	0.502334	+	0.514149i
$19$	−1.07237	+	0.779122i	−0.246018	+	0.178743i	−0.703960	−	0.710239i	$-0.748587\pi$
$19$	−1.07237	+	0.779122i	−0.246018	+	0.178743i	0.457942	+	0.888982i	$0.348587\pi$
$20$	2.07971	−	2.72686i	0.465038	−	0.609745i
$21$		−	2.19562i		−	0.479123i
$22$	0.749794	+	4.63010i	0.159857	+	0.987140i
$23$			7.25726i			1.51324i	0.653853	+	0.756622i	$0.273152\pi$
$23$			7.25726i			1.51324i	−0.653853	+	0.756622i	$0.726848\pi$
$24$	1.77176	+	1.89984i	0.361660	+	0.387803i
$25$	1.66637	−	1.21069i	0.333275	−	0.242138i
$26$	1.62719	−	1.58980i	0.319119	−	0.311786i
$27$	4.50418	−	1.46350i	0.866829	−	0.281650i
$28$	−0.111131	+	4.77980i	−0.0210018	+	0.903298i
$29$	−0.318958	+	0.439008i	−0.0592291	+	0.0815218i	−0.837604	−	0.546278i	$-0.816044\pi$
$29$	−0.318958	+	0.439008i	−0.0592291	+	0.0815218i	0.778375	+	0.627800i	$0.216044\pi$
$30$	−0.988012	−	1.99610i	−0.180385	−	0.364437i
$31$	−7.82777	−	2.54340i	−1.40591	−	0.456807i	−0.494812	−	0.869000i	$-0.664763\pi$
$31$	−7.82777	−	2.54340i	−1.40591	−	0.456807i	−0.911097	+	0.412193i	$0.864763\pi$
$32$	−3.76092	−	4.22558i	−0.664843	−	0.746983i
$33$	2.91097	+	0.897503i	0.506734	+	0.156235i
$34$	1.43557	−	8.42861i	0.246199	−	1.44550i
$35$	1.26669	−	3.89848i	0.214110	−	0.658964i
$36$	−4.13165	+	1.23705i	−0.688608	+	0.206175i
$37$	−0.299076	−	0.217291i	−0.0491678	−	0.0357225i	0.562930	−	0.826505i	$-0.309674\pi$
$37$	−0.299076	−	0.217291i	−0.0491678	−	0.0357225i	−0.612098	+	0.790782i	$0.709674\pi$
$38$	−0.271708	−	1.85477i	−0.0440769	−	0.300884i
$39$	−0.456554	−	1.40513i	−0.0731071	−	0.225001i
$40$	2.04984	+	4.39547i	0.324108	+	0.694984i
$41$	2.99295	+	4.11944i	0.467420	+	0.643348i	0.976027	−	0.217651i	$-0.0698393\pi$
$41$	2.99295	+	4.11944i	0.467420	+	0.643348i	−0.508607	+	0.860999i	$0.669839\pi$
$42$	2.75007	+	1.44173i	0.424345	+	0.222465i
$43$	9.45922			1.44252			0.721259	−	0.692666i	$-0.243564\pi$
$43$	9.45922			1.44252			0.721259	+	0.692666i	$0.243564\pi$
$44$	−6.29167	−	2.10118i	−0.948504	−	0.316765i
$45$	3.69767			0.551216
$46$	−9.08991	−	4.76542i	−1.34023	−	0.702623i
$47$	−2.35548	−	3.24205i	−0.343583	−	0.472901i	0.601901	−	0.798571i	$-0.294410\pi$
$47$	−2.35548	−	3.24205i	−0.343583	−	0.472901i	−0.945484	+	0.325670i	$0.894410\pi$
$48$	−3.54301	+	0.971666i	−0.511390	+	0.140248i
$49$	−0.397175	−	1.22238i	−0.0567393	−	0.174626i
$50$	0.422212	+	2.88217i	0.0597099	+	0.407600i
$51$	−4.49229	−	3.26384i	−0.629047	−	0.457029i
$52$	0.922785	+	3.08203i	0.127967	+	0.427401i
$53$	−0.765944	+	2.35733i	−0.105211	+	0.323805i	−0.989780	−	0.142604i	$-0.954452\pi$
$53$	−0.765944	+	2.35733i	−0.105211	+	0.323805i	0.884569	+	0.466409i	$0.154452\pi$
$54$	−1.12456	+	6.60259i	−0.153034	+	0.898499i
$55$	4.65085	+	3.27297i	0.627120	+	0.441328i
$56$	−5.91385	−	3.27781i	−0.790272	−	0.438016i
$57$	−1.15785	−	0.376209i	−0.153361	−	0.0498301i
$58$	−0.340428	−	0.687775i	−0.0447004	−	0.0903092i
$59$	−4.14490	+	5.70497i	−0.539620	+	0.742724i	−0.988558	−	0.150839i	$-0.951802\pi$
$59$	−4.14490	+	5.70497i	−0.539620	+	0.742724i	0.448938	+	0.893563i	$0.351802\pi$
$60$	3.14894	+	0.0732133i	0.406526	+	0.00945179i
$61$	9.41156	−	3.05800i	1.20503	−	0.391537i	0.363419	−	0.931626i	$-0.381609\pi$
$61$	9.41156	−	3.05800i	1.20503	−	0.391537i	0.841608	+	0.540089i	$0.181609\pi$
$62$	8.32571	−	8.13438i	1.05737	−	1.03307i
$63$	−4.17053	+	3.03007i	−0.525437	+	0.381752i
$64$	7.76222	−	1.93596i	0.970277	−	0.241995i
$65$		−	2.75830i		−	0.342125i
$66$	−3.03561	+	3.05672i	−0.373657	+	0.376257i
$67$			4.79085i			0.585296i	0.956220	+	0.292648i	$0.0945364\pi$
$67$			4.79085i			0.585296i	−0.956220	+	0.292648i	$0.905464\pi$
$68$	9.61440	+	7.33267i	1.16592	+	0.889217i
$69$	−5.39250	+	3.91788i	−0.649181	+	0.471658i
$70$	4.05119	+	4.14647i	0.484210	+	0.495598i
$71$	3.34001	−	1.08524i	0.396387	−	0.128794i	−0.104039	−	0.994573i	$-0.533177\pi$
$71$	3.34001	−	1.08524i	0.396387	−	0.128794i	0.500426	+	0.865779i	$0.333177\pi$
$72$	1.16358	−	5.98730i	0.137129	−	0.705610i
$73$	−1.23553	+	1.70056i	−0.144607	+	0.199035i	−0.875177	−	0.483804i	$-0.839255\pi$
$73$	−1.23553	+	1.70056i	−0.144607	+	0.199035i	0.730569	+	0.682839i	$0.239255\pi$
$74$	0.468549	−	0.231918i	0.0544677	−	0.0269599i
$75$	1.79921	+	0.584598i	0.207754	+	0.0675035i
$76$	2.50157	+	0.877601i	0.286950	+	0.100668i
$77$	−7.92764	+	0.119627i	−0.903439	+	0.0136328i
$78$	2.05975	+	0.350820i	0.233221	+	0.0397226i
$79$	0.797547	−	2.45460i	0.0897311	−	0.276164i	−0.896114	−	0.443825i	$-0.853621\pi$
$79$	0.797547	−	2.45460i	0.0897311	−	0.276164i	0.985845	+	0.167661i	$0.0536213\pi$
$80$	−6.85145	−	0.318767i	−0.766015	−	0.0356392i
$81$	−1.71472	−	1.24581i	−0.190524	−	0.138424i
$82$	−7.12500	+	1.04375i	−0.786824	+	0.115263i
$83$	−1.22709	−	3.77660i	−0.134691	−	0.414536i	0.860851	−	0.508857i	$-0.169932\pi$
$83$	−1.22709	−	3.77660i	−0.134691	−	0.414536i	−0.995542	+	0.0943213i	$0.969932\pi$
$84$	−3.61162	+	2.49783i	−0.394060	+	0.272536i
$85$	−6.09343	−	8.38688i	−0.660925	−	0.909685i
$86$	−6.21132	+	11.8479i	−0.669784	+	1.27759i
$87$	−0.498396			−0.0534337
$88$	6.76315	−	6.50075i	0.720954	−	0.692983i
$89$	−8.45225			−0.895937			−0.447969	−	0.894049i	$-0.647852\pi$
$89$	−8.45225			−0.895937			−0.447969	+	0.894049i	$0.647852\pi$
$90$	−2.42804	+	4.63143i	−0.255938	+	0.488195i
$91$	2.26030	+	3.11103i	0.236944	+	0.326125i
$92$	11.9376	−	8.25618i	1.24458	−	0.860766i
$93$	−2.33600	−	7.18948i	−0.242232	−	0.745515i
$94$	5.60746	−	0.821443i	0.578365	−	0.0847254i
$95$	−1.83881	−	1.33597i	−0.188658	−	0.137068i
$96$	1.10945	−	5.07575i	0.113233	−	0.518042i
$97$	−2.57295	+	7.91872i	−0.261243	+	0.804024i	0.731292	+	0.682065i	$0.238918\pi$
$97$	−2.57295	+	7.91872i	−0.261243	+	0.804024i	−0.992535	+	0.121960i	$0.961082\pi$
$98$	1.79186	+	0.305193i	0.181005	+	0.0308291i
$99$	−2.31249	−	6.76791i	−0.232414	−	0.680201i
$100$	−3.88723	−	1.36372i	−0.388723	−	0.136372i
$101$	8.58788	+	2.79037i	0.854526	+	0.277652i	0.703340	−	0.710853i	$-0.251691\pi$
$101$	8.58788	+	2.79037i	0.854526	+	0.277652i	0.151185	+	0.988505i	$0.451691\pi$
$102$	7.03788	−	3.48354i	0.696854	−	0.344922i
$103$	5.28660	−	7.27638i	0.520904	−	0.716963i	−0.464806	−	0.885412i	$-0.653876\pi$
$103$	5.28660	−	7.27638i	0.520904	−	0.716963i	0.985710	+	0.168450i	$0.0538760\pi$
$104$	−4.46627	−	0.867980i	−0.437954	−	0.0851124i
$105$	3.58060	−	1.16341i	0.349430	−	0.113537i
$106$	−2.44967	−	2.50729i	−0.237933	−	0.243529i
$107$	−2.49422	+	1.81216i	−0.241126	+	0.175188i	−0.701785	−	0.712389i	$-0.747613\pi$
$107$	−2.49422	+	1.81216i	−0.241126	+	0.175188i	0.460659	+	0.887577i	$0.347613\pi$
$108$	−7.53148	−	5.74408i	−0.724717	−	0.552725i
$109$			9.68863i			0.928002i	0.885835	+	0.464001i	$0.153587\pi$
$109$			9.68863i			0.928002i	−0.885835	+	0.464001i	$0.846413\pi$
$110$	−7.15342	+	3.67614i	−0.682052	+	0.350506i
$111$		−	0.339534i		−	0.0322271i
$112$	7.98883	−	5.25491i	0.754873	−	0.496542i
$113$	8.70152	−	6.32202i	0.818570	−	0.594726i	−0.0977325	−	0.995213i	$-0.531159\pi$
$113$	8.70152	−	6.32202i	0.818570	−	0.594726i	0.916303	+	0.400487i	$0.131159\pi$
$114$	1.23150	−	1.20320i	0.115341	−	0.112690i
$115$	−11.8351	+	3.84545i	−1.10363	+	0.358590i
$116$	1.08500	+	0.0252263i	0.100739	+	0.00234220i
$117$	−2.03894	+	2.80636i	−0.188500	+	0.259448i
$118$	−4.42391	−	8.93772i	−0.407254	−	0.822784i
$119$	13.7453	+	4.46612i	1.26003	+	0.409409i
$120$	−2.15943	+	3.89605i	−0.197128	+	0.355659i
$121$	3.08198	−	10.5594i	0.280180	−	0.959947i
$122$	−2.34980	+	13.7962i	−0.212740	+	1.24905i
$123$	−1.44518	+	4.44781i	−0.130308	+	0.401046i
$124$	4.72152	+	15.7695i	0.424005	+	1.41615i
$125$	9.79353	+	7.11541i	0.875960	+	0.636422i
$126$	−1.05669	−	7.21336i	−0.0941378	−	0.642617i
$127$	−0.100873	−	0.310454i	−0.00895101	−	0.0275484i	0.946481	−	0.322759i	$-0.104610\pi$
$127$	−0.100873	−	0.310454i	−0.00895101	−	0.0275484i	−0.955432	+	0.295210i	$0.904610\pi$
$128$	−2.67216	+	10.9936i	−0.236187	+	0.971708i
$129$	5.10662	+	7.02866i	0.449613	+	0.618839i
$130$	3.45485	+	1.81122i	0.303010	+	0.158854i
$131$	−10.8360			−0.946745			−0.473372	−	0.880862i	$-0.656963\pi$
$131$	−10.8360			−0.946745			−0.473372	+	0.880862i	$0.656963\pi$
$132$	−1.83532	−	5.80935i	−0.159744	−	0.505639i
$133$	3.16872			0.274763
$134$	−6.00067	−	3.14587i	−0.518379	−	0.271762i
$135$	4.77331	+	6.56990i	0.410821	+	0.565447i
$136$	−15.4976	+	7.22735i	−1.32891	+	0.619740i
$137$	−0.390122	−	1.20067i	−0.0333304	−	0.102580i	0.933007	−	0.359857i	$-0.117175\pi$
$137$	−0.390122	−	1.20067i	−0.0333304	−	0.102580i	−0.966338	+	0.257277i	$0.917175\pi$
$138$	−1.36631	−	9.32689i	−0.116308	−	0.793958i
$139$	8.13031	+	5.90702i	0.689604	+	0.501026i	0.876530	−	0.481347i	$-0.159852\pi$
$139$	8.13031	+	5.90702i	0.689604	+	0.501026i	−0.186926	+	0.982374i	$0.559852\pi$
$140$	−7.85374	+	2.35147i	−0.663763	+	0.198736i
$141$	1.13737	−	3.50048i	0.0957842	−	0.294794i
$142$	−0.833905	+	4.89606i	−0.0699797	+	0.410869i
$143$	−5.04857	+	1.72502i	−0.422183	+	0.144253i
$144$	6.73519	+	5.38892i	0.561266	+	0.449077i
$145$	−0.884939	−	0.287534i	−0.0734902	−	0.0238784i
$146$	−1.31869	−	2.66418i	−0.109136	−	0.220490i
$147$	0.693870	−	0.955029i	0.0572294	−	0.0787695i
$148$	−0.0171855	+	0.739156i	−0.00141264	+	0.0607583i
$149$	2.24743	−	0.730233i	0.184116	−	0.0598230i	−0.215508	−	0.976502i	$-0.569141\pi$
$149$	2.24743	−	0.730233i	0.184116	−	0.0598230i	0.399624	+	0.916679i	$0.369141\pi$
$150$	−1.91366	+	1.86968i	−0.156249	+	0.152659i
$151$	15.4539	−	11.2279i	1.25762	−	0.913713i	0.258980	−	0.965883i	$-0.416614\pi$
$151$	15.4539	−	11.2279i	1.25762	−	0.913713i	0.998638	+	0.0521699i	$0.0166137\pi$
$152$	−2.74185	+	2.55701i	−0.222394	+	0.207401i
$153$			13.0373i			1.05400i
$154$	5.05579	−	10.0081i	0.407407	−	0.806479i
$155$		−	14.1131i		−	1.13359i
$156$	−1.79193	+	2.34953i	−0.143469	+	0.188113i
$157$	−7.93699	+	5.76656i	−0.633441	+	0.460222i	−0.857591	−	0.514333i	$-0.828040\pi$
$157$	−7.93699	+	5.76656i	−0.633441	+	0.460222i	0.224150	+	0.974555i	$0.428040\pi$
$158$	2.55075	+	2.61074i	0.202926	+	0.207699i
$159$	−2.16511	+	0.703488i	−0.171705	+	0.0557902i
$160$	4.89821	−	8.37230i	0.387237	−	0.661889i
$161$	10.1974	−	14.0355i	0.803667	−	1.10615i
$162$	2.68637	−	1.32967i	0.211061	−	0.104469i
$163$	−13.5498	−	4.40261i	−1.06130	−	0.344839i	−0.274209	−	0.961670i	$-0.588416\pi$
$163$	−13.5498	−	4.40261i	−1.06130	−	0.344839i	−0.787096	+	0.616831i	$0.788416\pi$
$164$	3.37125	−	9.60962i	0.263250	−	0.750385i
$165$	0.0788107	+	5.22274i	0.00613540	+	0.406590i
$166$	5.53605	+	0.942909i	0.429681	+	0.0731839i
$167$	0.0216699	−	0.0666932i	0.00167687	−	0.00516088i	−0.950215	−	0.311596i	$-0.899136\pi$
$167$	0.0216699	−	0.0666932i	0.00167687	−	0.00516088i	0.951891	+	0.306435i	$0.0991364\pi$
$168$	−0.757059	−	6.16383i	−0.0584084	−	0.475550i
$169$	−8.42380	−	6.12025i	−0.647984	−	0.470788i
$170$	14.5060	−	2.12500i	1.11256	−	0.162980i
$171$	0.883294	+	2.71850i	0.0675472	+	0.207889i
$172$	−10.7612	−	15.5597i	−0.820535	−	1.18641i
$173$	−11.6546	−	16.0412i	−0.886086	−	1.21959i	−0.974698	−	0.223527i	$-0.928243\pi$
$173$	−11.6546	−	16.0412i	−0.886086	−	1.21959i	0.0886112	−	0.996066i	$-0.471757\pi$
$174$	0.327268	−	0.624254i	0.0248101	−	0.0473246i
$175$	−4.92393			−0.372214
$176$	3.70140	+	12.7397i	0.279003	+	0.960290i
$177$	−6.47672			−0.486820
$178$	5.55010	−	10.5867i	0.415998	−	0.793504i
$179$	−2.02535	−	2.78765i	−0.151382	−	0.208359i	0.726590	−	0.687071i	$-0.241104\pi$
$179$	−2.02535	−	2.78765i	−0.151382	−	0.208359i	−0.877972	+	0.478712i	$0.841104\pi$
$180$	−4.20663	−	6.08238i	−0.313544	−	0.453353i
$181$	4.87022	+	14.9890i	0.362001	+	1.11412i	0.951838	+	0.306601i	$0.0991918\pi$
$181$	4.87022	+	14.9890i	0.362001	+	1.11412i	−0.589837	+	0.807522i	$0.700808\pi$
$182$	−5.38086	+	0.788249i	−0.398856	+	0.0584289i
$183$	7.35314	+	5.34237i	0.543560	+	0.394919i
$184$	2.50234	+	20.3735i	0.184475	+	1.50196i
$185$	0.195884	−	0.602867i	0.0144016	−	0.0443237i
$186$	10.5389	+	1.79501i	0.772752	+	0.131616i
$187$	−11.5399	+	16.3980i	−0.843880	+	1.19914i
$188$	−2.65321	+	7.56288i	−0.193505	+	0.551580i
$189$	−10.7674	−	3.49856i	−0.783217	−	0.254482i
$190$	2.88078	−	1.42590i	0.208994	−	0.103446i
$191$	4.18731	−	5.76334i	0.302983	−	0.417020i	−0.630194	−	0.776438i	$-0.717025\pi$
$191$	4.18731	−	5.76334i	0.302983	−	0.417020i	0.933177	+	0.359417i	$0.117025\pi$
$192$	5.62900	+	4.72257i	0.406238	+	0.340822i
$193$	−16.0372	+	5.21080i	−1.15438	+	0.375081i	−0.822792	−	0.568342i	$-0.807585\pi$
$193$	−16.0372	+	5.21080i	−1.15438	+	0.375081i	−0.331590	+	0.943424i	$0.607585\pi$
$194$	−8.22890	−	8.42245i	−0.590801	−	0.604697i
$195$	2.04955	−	1.48909i	0.146772	−	0.106636i
$196$	−1.55887	+	2.04395i	−0.111348	+	0.145997i
$197$		−	24.6863i		−	1.75883i	−0.476058	−	0.879414i	$-0.657935\pi$
$197$		−	24.6863i		−	1.75883i	0.476058	−	0.879414i	$-0.342065\pi$
$198$	9.99547	+	1.54763i	0.710347	+	0.109986i
$199$		−	15.7596i		−	1.11717i	−0.829449	−	0.558583i	$-0.811345\pi$
$199$		−	15.7596i		−	1.11717i	0.829449	−	0.558583i	$-0.188655\pi$
$200$	4.26061	−	3.97339i	0.301271	−	0.280961i
$201$	−3.55984	+	2.58637i	−0.251092	+	0.182429i
$202$	−9.13417	+	8.92427i	−0.642678	+	0.627909i
$203$	1.23373	−	0.400862i	0.0865906	−	0.0281350i
$204$	−0.258136	+	11.1026i	−0.0180731	+	0.777335i
$205$	−5.13205	+	7.06366i	−0.358438	+	0.493348i
$206$	5.64245	+	11.3996i	0.393128	+	0.794246i
$207$	14.8838	+	4.83606i	1.03450	+	0.336129i
$208$	4.01990	−	5.02416i	0.278730	−	0.348363i
$209$	−1.29528	+	4.20111i	−0.0895963	+	0.290597i
$210$	−0.893972	+	5.24873i	−0.0616899	+	0.362197i
$211$	−7.38354	+	22.7242i	−0.508304	+	1.56440i	0.286841	+	0.957978i	$0.407395\pi$
$211$	−7.38354	+	22.7242i	−0.508304	+	1.56440i	−0.795145	+	0.606419i	$0.792605\pi$
$212$	4.74900	−	1.42189i	0.326163	−	0.0976556i
$213$	2.60951	+	1.89592i	0.178801	+	0.129906i
$214$	−0.631966	−	4.31402i	−0.0432003	−	0.294900i
$215$	5.01221	+	15.4260i	0.341830	+	1.05205i
$216$	12.1401	−	5.66158i	0.826029	−	0.385222i
$217$	11.5651	+	15.9179i	0.785087	+	1.08058i
$218$	−12.1353	−	6.36196i	−0.821904	−	0.430886i
$219$	−1.93060			−0.130458
$220$	0.0927799	−	11.3738i	0.00625522	−	0.766818i
$221$	9.72525			0.654191
$222$	0.425275	+	0.222952i	0.0285426	+	0.0149636i
$223$	−11.0894	−	15.2632i	−0.742600	−	1.02210i	−0.998465	−	0.0553883i	$-0.982360\pi$
$223$	−11.0894	−	15.2632i	−0.742600	−	1.02210i	0.255865	−	0.966712i	$-0.417640\pi$
$224$	1.33611	+	13.4568i	0.0892729	+	0.899121i
$225$	−1.37257	−	4.22433i	−0.0915044	−	0.281622i
$226$	2.20472	+	15.0502i	0.146656	+	1.00112i
$227$	9.11637	+	6.62343i	0.605075	+	0.439612i	0.847676	−	0.530514i	$-0.178001\pi$
$227$	9.11637	+	6.62343i	0.605075	+	0.439612i	−0.242602	+	0.970126i	$0.578001\pi$
$228$	0.698388	+	2.33257i	0.0462519	+	0.154478i
$229$	6.75257	−	20.7823i	0.446223	−	1.37333i	−0.434915	−	0.900472i	$-0.643222\pi$
$229$	6.75257	−	20.7823i	0.446223	−	1.37333i	0.881137	−	0.472860i	$-0.156778\pi$
$230$	2.95488	−	17.3488i	0.194839	−	1.14395i
$231$	−4.36868	−	5.82605i	−0.287438	−	0.383326i
$232$	−0.744050	+	1.34242i	−0.0488492	+	0.0881342i
$233$	6.04225	+	1.96325i	0.395841	+	0.128617i	0.500172	−	0.865926i	$-0.333270\pi$
$233$	6.04225	+	1.96325i	0.395841	+	0.128617i	−0.104331	+	0.994543i	$0.533270\pi$
$234$	−2.17619	−	4.39660i	−0.142262	−	0.287415i
$235$	4.03898	−	5.55919i	0.263474	−	0.362641i
$236$	14.0997	+	0.327819i	0.917809	+	0.0213392i
$237$	2.25445	−	0.732514i	0.146442	−	0.0475819i
$238$	−14.6197	+	14.2837i	−0.947653	+	0.925876i
$239$	−12.0990	+	8.79041i	−0.782617	+	0.568605i	−0.905763	−	0.423784i	$-0.860702\pi$
$239$	−12.0990	+	8.79041i	−0.782617	+	0.568605i	0.123146	+	0.992389i	$0.460702\pi$
$240$	−3.46194	−	5.26305i	−0.223467	−	0.339728i
$241$			0.457365i			0.0294615i	0.999891	+	0.0147307i	$0.00468911\pi$
$241$			0.457365i			0.0294615i	−0.999891	+	0.0147307i	$0.995311\pi$
$242$	11.2022	+	10.7940i	0.720104	+	0.693866i
$243$		−	16.1546i		−	1.03632i
$244$	−15.7372	−	12.0024i	−1.00747	−	0.768373i
$245$	1.78299	−	1.29542i	0.113911	−	0.0827612i
$246$	−4.62203	−	4.73075i	−0.294690	−	0.301621i
$247$	2.02788	−	0.658899i	0.129031	−	0.0419248i
$248$	−22.8521	−	4.44111i	−1.45111	−	0.282011i
$249$	2.14375	−	2.95061i	0.135854	−	0.186987i
$250$	−15.3431	+	7.59437i	−0.970381	+	0.480310i
$251$	12.0935	+	3.92941i	0.763334	+	0.248022i	0.664709	−	0.747103i	$-0.268556\pi$
$251$	12.0935	+	3.92941i	0.763334	+	0.248022i	0.0986249	+	0.995125i	$0.468556\pi$
$252$	9.72879	+	3.41306i	0.612856	+	0.215002i
$253$	14.4400	+	19.2571i	0.907833	+	1.21068i
$254$	0.455090	+	0.0775115i	0.0285549	+	0.00486351i
$255$	2.94229	−	9.05543i	0.184253	−	0.567073i
$256$	−12.0151	−	10.5658i	−0.750946	−	0.660363i
$257$	1.20619	+	0.876350i	0.0752402	+	0.0546652i	0.624770	−	0.780809i	$-0.285193\pi$
$257$	1.20619	+	0.876350i	0.0752402	+	0.0546652i	−0.549529	+	0.835474i	$0.685193\pi$
$258$	−12.1568	+	1.78087i	−0.756850	+	0.110872i
$259$	0.273088	+	0.840480i	0.0169689	+	0.0522249i
$260$	−4.53719	+	3.13797i	−0.281385	+	0.194608i
$261$	0.687812	+	0.946692i	0.0425745	+	0.0585988i
$262$	7.11536	−	13.5724i	0.439589	−	0.838503i
$263$	−14.7580			−0.910017			−0.455008	−	0.890487i	$-0.650364\pi$
$263$	−14.7580			−0.910017			−0.455008	+	0.890487i	$0.650364\pi$
$264$	8.48151	+	1.51588i	0.522001	+	0.0932957i
$265$	−4.25017			−0.261086
$266$	−2.08071	+	3.96891i	−0.127577	+	0.243349i
$267$	−4.56300	−	6.28044i	−0.279251	−	0.384357i
$268$	7.88058	−	5.45028i	0.481383	−	0.332929i
$269$	4.06176	+	12.5008i	0.247650	+	0.762189i	0.995189	+	0.0979710i	$0.0312352\pi$
$269$	4.06176	+	12.5008i	0.247650	+	0.762189i	−0.747539	+	0.664218i	$0.768765\pi$
$270$	−11.3633	+	1.66463i	−0.691550	+	0.101306i
$271$	9.14409	+	6.64357i	0.555464	+	0.403568i	0.829796	−	0.558067i	$-0.188457\pi$
$271$	9.14409	+	6.64357i	0.555464	+	0.403568i	−0.274332	+	0.961635i	$0.588457\pi$
$272$	1.12391	−	24.1569i	0.0681471	−	1.46473i
$273$	−1.09141	+	3.35903i	−0.0660553	+	0.203297i
$274$	1.76004	+	0.299773i	0.106328	+	0.0181100i
$275$	2.01276	−	6.52818i	0.121374	−	0.393664i
$276$	12.5794	+	4.41309i	0.757188	+	0.265637i
$277$	−1.50422	−	0.488750i	−0.0903796	−	0.0293661i	0.263478	−	0.964665i	$-0.415130\pi$
$277$	−1.50422	−	0.488750i	−0.0903796	−	0.0293661i	−0.353858	+	0.935299i	$0.615130\pi$
$278$	−12.7374	+	6.30463i	−0.763938	+	0.378127i
$279$	−10.4325	+	14.3590i	−0.624574	+	0.859653i
$280$	2.21182	−	11.3811i	0.132181	−	0.680150i
$281$	−8.38361	+	2.72400i	−0.500124	+	0.162500i	−0.548206	−	0.836343i	$-0.684689\pi$
$281$	−8.38361	+	2.72400i	−0.500124	+	0.162500i	0.0480820	+	0.998843i	$0.484689\pi$
$282$	3.63759	+	3.72315i	0.216616	+	0.221711i
$283$	16.4054	−	11.9192i	0.975201	−	0.708525i	0.0185704	−	0.999828i	$-0.494089\pi$
$283$	16.4054	−	11.9192i	0.975201	−	0.708525i	0.956631	+	0.291302i	$0.0940885\pi$
$284$	−5.58487	−	4.25945i	−0.331401	−	0.252752i
$285$		−	2.08756i		−	0.123656i
$286$	1.15447	−	7.45619i	0.0682652	−	0.440894i
$287$		−	12.1724i		−	0.718516i
$288$	−11.1724	+	4.89741i	−0.658338	+	0.288583i
$289$	15.8173	−	11.4919i	0.930427	−	0.675995i
$290$	0.941232	−	0.919603i	0.0552710	−	0.0540009i
$291$	−7.27302	+	2.36315i	−0.426352	+	0.138530i
$292$	4.20287	+	0.0977173i	0.245954	+	0.00571847i
$293$	−8.20064	+	11.2872i	−0.479087	+	0.659406i	−0.978329	−	0.207056i	$-0.933612\pi$
$293$	−8.20064	+	11.2872i	−0.479087	+	0.659406i	0.499242	+	0.866462i	$0.333612\pi$
$294$	0.740576	+	1.49620i	0.0431913	+	0.0872603i
$295$	−11.4999	−	3.73654i	−0.669550	−	0.217550i
$296$	−0.914528	−	0.506886i	−0.0531558	−	0.0294621i
$297$	9.03982	−	12.8454i	0.524543	−	0.745368i
$298$	−0.561118	+	3.29446i	−0.0325047	+	0.190843i
$299$	3.60749	−	11.1027i	0.208627	−	0.642087i
$300$	−1.08524	−	3.62462i	−0.0626563	−	0.209267i
$301$	−18.2941	−	13.2914i	−1.05445	−	0.766105i
$302$	3.91558	+	26.7291i	0.225316	+	1.53809i
$303$	2.56284	+	7.88761i	0.147231	+	0.453131i
$304$	−1.40231	−	5.11328i	−0.0804280	−	0.293267i
$305$	9.97392	+	13.7279i	0.571105	+	0.786059i
$306$	−16.3295	−	8.56082i	−0.933497	−	0.489389i
$307$	5.88829			0.336062			0.168031	−	0.985782i	$-0.446259\pi$
$307$	5.88829			0.336062			0.168031	+	0.985782i	$0.446259\pi$
$308$	9.21561	+	12.9043i	0.525108	+	0.735289i
$309$	8.26071			0.469935
$310$	17.6771	+	9.26727i	1.00399	+	0.526346i
$311$	15.4196	+	21.2233i	0.874366	+	1.20346i	0.977950	+	0.208840i	$0.0669689\pi$
$311$	15.4196	+	21.2233i	0.874366	+	1.20346i	−0.103584	+	0.994621i	$0.533031\pi$
$312$	−1.76619	−	3.78724i	−0.0999909	−	0.214410i
$313$	−5.29404	−	16.2934i	−0.299237	−	0.920955i	−0.981765	−	0.190097i	$-0.939120\pi$
$313$	−5.29404	−	16.2934i	−0.299237	−	0.920955i	0.682529	−	0.730859i	$-0.260880\pi$
$314$	−2.01101	−	13.7279i	−0.113488	−	0.774708i
$315$	−7.15127	−	5.19570i	−0.402928	−	0.292744i
$316$	−4.94495	+	1.48056i	−0.278175	+	0.0832877i
$317$	0.246344	−	0.758169i	0.0138361	−	0.0425830i	−0.943900	−	0.330231i	$-0.892873\pi$
$317$	0.246344	−	0.758169i	0.0138361	−	0.0425830i	0.957736	+	0.287648i	$0.0928733\pi$
$318$	0.540567	−	3.17380i	0.0303135	−	0.177978i
$319$	0.0271549	+	1.79954i	0.00152038	+	0.100755i
$320$	7.27016	+	11.6327i	0.406414	+	0.650290i
$321$	−2.69305	−	0.875024i	−0.150311	−	0.0488391i
$322$	10.8838	+	21.9888i	0.606530	+	1.22539i
$323$	4.71038	−	6.48329i	0.262093	−	0.360740i
$324$	−0.0985309	+	4.23786i	−0.00547394	+	0.235437i
$325$	−3.15117	+	1.02388i	−0.174795	+	0.0567944i
$326$	14.4118	−	14.0806i	0.798194	−	0.779852i
$327$	−7.19912	+	5.23047i	−0.398112	+	0.289246i
$328$	9.82259	+	10.5326i	0.542362	+	0.581568i
$329$			9.57985i			0.528154i
$330$	−6.59337	−	3.33076i	−0.362953	−	0.183352i
$331$			21.2979i			1.17064i	0.810803	+	0.585319i	$0.199031\pi$
$331$			21.2979i			1.17064i	−0.810803	+	0.585319i	$0.800969\pi$
$332$	−4.81622	+	6.31490i	−0.264324	+	0.346575i
$333$	−0.644937	+	0.468574i	−0.0353423	+	0.0256777i
$334$	0.0693056	+	0.0709357i	0.00379223	+	0.00388143i
$335$	−7.81288	+	2.53856i	−0.426863	+	0.138696i
$336$	8.21748	+	3.09919i	0.448300	+	0.169075i
$337$	6.39268	−	8.79876i	0.348231	−	0.479299i	−0.598592	−	0.801054i	$-0.704273\pi$
$337$	6.39268	−	8.79876i	0.348231	−	0.479299i	0.946823	+	0.321755i	$0.104273\pi$
$338$	13.1972	−	6.53222i	0.717832	−	0.355306i
$339$	9.39514	+	3.05267i	0.510274	+	0.165798i
$340$	−6.86362	+	19.5645i	−0.372232	+	1.06103i
$341$	−25.8315	+	8.82625i	−1.39886	+	0.477968i
$342$	−3.98500	−	0.678731i	−0.215484	−	0.0367016i
$343$	−6.12050	+	18.8370i	−0.330476	+	1.01710i
$344$	26.5552	−	3.26158i	1.43176	−	0.175853i
$345$	−9.24660	−	6.71805i	−0.497820	−	0.361688i
$346$	27.7450	−	4.06440i	1.49158	−	0.218504i
$347$	0.198863	+	0.612038i	0.0106755	+	0.0328559i	0.956252	−	0.292543i	$-0.0945014\pi$
$347$	0.198863	+	0.612038i	0.0106755	+	0.0328559i	−0.945577	+	0.325399i	$0.894501\pi$
$348$	0.566997	+	0.819823i	0.0303943	+	0.0439471i
$349$	−10.1567	−	13.9796i	−0.543678	−	0.748309i	0.445459	−	0.895302i	$-0.353040\pi$
$349$	−10.1567	−	13.9796i	−0.543678	−	0.748309i	−0.989137	+	0.146993i	$0.953040\pi$
$350$	3.23326	−	6.16736i	0.172825	−	0.329659i
$351$	−7.61832			−0.406636
$352$	−18.3873	−	3.72931i	−0.980046	−	0.198773i
$353$	−28.3825			−1.51065			−0.755324	−	0.655352i	$-0.772520\pi$
$353$	−28.3825			−1.51065			−0.755324	+	0.655352i	$0.772520\pi$
$354$	4.25289	−	8.11227i	0.226038	−	0.431162i
$355$	3.53959	+	4.87182i	0.187862	+	0.258569i
$356$	9.61565	+	13.9033i	0.509629	+	0.736873i
$357$	4.10195	+	12.6245i	0.217098	+	0.668159i
$358$	4.82154	−	0.706313i	0.254826	−	0.0373298i
$359$	−23.1001	−	16.7832i	−1.21918	−	0.885785i	−0.223147	−	0.974785i	$-0.571633\pi$
$359$	−23.1001	−	16.7832i	−1.21918	−	0.885785i	−0.996032	+	0.0889996i	$0.971633\pi$
$360$	10.3806	−	1.27497i	0.547105	−	0.0671969i
$361$	−5.32838	+	16.3991i	−0.280441	+	0.863108i
$362$	−21.9721	−	3.74232i	−1.15483	−	0.196692i
$363$	9.50999	−	3.41051i	0.499145	−	0.179005i
$364$	2.54599	−	7.25726i	0.133446	−	0.380384i
$365$	−3.42793	−	1.11380i	−0.179426	−	0.0582990i
$366$	−11.5198	+	5.70198i	−0.602151	+	0.298047i
$367$	0.228900	−	0.315054i	0.0119485	−	0.0164457i	−0.803001	−	0.595978i	$-0.796765\pi$
$367$	0.228900	−	0.315054i	0.0119485	−	0.0164457i	0.814949	+	0.579532i	$0.196765\pi$
$368$	−27.1615	−	10.2439i	−1.41589	−	0.533999i
$369$	10.4429	−	3.39312i	0.543638	−	0.176639i
$370$	0.626482	+	0.641217i	0.0325692	+	0.0333353i
$371$	4.79369	−	3.48282i	0.248876	−	0.180819i
$372$	−9.16860	+	12.0216i	−0.475370	+	0.623292i
$373$		−	9.95150i		−	0.515269i	−0.966242	−	0.257635i	$-0.917057\pi$
$373$		−	9.95150i		−	0.515269i	0.966242	−	0.257635i	$-0.0829430\pi$
$374$	−12.9614	−	25.2216i	−0.670216	−	1.30418i
$375$			11.1184i			0.574150i
$376$	−7.73050	−	8.28932i	−0.398670	−	0.427489i
$377$	0.706192	−	0.513078i	0.0363707	−	0.0264249i
$378$	11.4524	−	11.1892i	0.589047	−	0.575511i
$379$	19.1280	−	6.21508i	0.982541	−	0.319247i	0.226673	−	0.973971i	$-0.427215\pi$
$379$	19.1280	−	6.21508i	0.982541	−	0.319247i	0.755868	+	0.654724i	$0.227215\pi$
$380$	−0.105662	+	4.54456i	−0.00542032	+	0.233131i
$381$	0.176226	−	0.242554i	0.00902833	−	0.0124264i
$382$	4.46917	+	9.02916i	0.228663	+	0.461972i
$383$	−9.77842	−	3.17720i	−0.499654	−	0.162347i	0.0483380	−	0.998831i	$-0.484608\pi$
$383$	−9.77842	−	3.17720i	−0.499654	−	0.162347i	−0.547992	+	0.836484i	$0.684608\pi$
$384$	−9.61137	+	3.94943i	−0.490478	+	0.201544i
$385$	−4.39576	−	12.8649i	−0.224029	−	0.655658i
$386$	4.00402	−	23.5086i	0.203799	−	1.19656i
$387$	6.30338	−	19.3998i	0.320419	−	0.986148i
$388$	15.9528	−	4.77638i	0.809880	−	0.242484i
$389$	15.5977	+	11.3324i	0.790836	+	0.574576i	0.908212	−	0.418511i	$-0.137448\pi$
$389$	15.5977	+	11.3324i	0.790836	+	0.574576i	−0.117375	+	0.993088i	$0.537448\pi$
$390$	0.519299	+	3.54492i	0.0262957	+	0.179504i
$391$	−13.5583	−	41.7282i	−0.685674	−	2.11029i
$392$	−1.53648	−	3.29467i	−0.0776041	−	0.166406i
$393$	−5.84988	−	8.05167i	−0.295087	−	0.406153i
$394$	30.9203	+	16.2101i	1.55774	+	0.816651i
$395$	4.42554			0.222673
$396$	−8.50189	+	11.5033i	−0.427236	+	0.578065i
$397$	38.1030			1.91233			0.956167	−	0.292823i	$-0.0945945\pi$
$397$	38.1030			1.91233			0.956167	+	0.292823i	$0.0945945\pi$
$398$	19.7393	+	10.3484i	0.989440	+	0.518718i
$399$	1.71066	+	2.35451i	0.0856399	+	0.117873i
$400$	2.17907	+	7.94562i	0.108954	+	0.397281i
$401$	−1.28297	−	3.94858i	−0.0640685	−	0.197183i	0.913898	−	0.405943i	$-0.133057\pi$
$401$	−1.28297	−	3.94858i	−0.0640685	−	0.197183i	−0.977967	+	0.208761i	$0.933057\pi$
$402$	−0.901963	−	6.15711i	−0.0449858	−	0.307089i
$403$	10.7112	+	7.78216i	0.533564	+	0.387657i
$404$	−5.18000	−	17.3008i	−0.257715	−	0.860748i
$405$	1.12307	−	3.45647i	0.0558060	−	0.171753i
$406$	−0.308026	+	1.80850i	−0.0152871	+	0.0897542i
$407$	−1.22594	+	0.0184994i	−0.0607678	+	0.000916979i
$408$	−13.7367	−	7.61373i	−0.680070	−	0.376936i
$409$	10.7679	+	3.49869i	0.532437	+	0.172999i	0.562882	−	0.826537i	$-0.309693\pi$
$409$	10.7679	+	3.49869i	0.532437	+	0.172999i	−0.0304453	+	0.999536i	$0.509693\pi$
$410$	−5.47750	−	11.0663i	−0.270515	−	0.546527i
$411$	0.681548	−	0.938071i	0.0336183	−	0.0462716i
$412$	−17.9833	−	0.418115i	−0.885975	−	0.0205990i
$413$	16.0324	−	5.20925i	0.788904	−	0.256331i
$414$	−15.8306	+	15.4669i	−0.778034	+	0.760154i
$415$	5.50864	−	4.00226i	0.270409	−	0.196463i
$416$	3.65326	+	8.33411i	0.179116	+	0.408613i
$417$			9.23016i			0.452003i
$418$	−4.41147	−	4.38099i	−0.215772	−	0.214281i
$419$			21.2095i			1.03615i	0.855335	+	0.518075i	$0.173351\pi$
$419$			21.2095i			1.03615i	−0.855335	+	0.518075i	$0.826649\pi$
$420$	−5.98715	−	4.56626i	−0.292143	−	0.222811i
$421$	−20.0502	+	14.5673i	−0.977185	+	0.709966i	−0.957078	−	0.289832i	$-0.906401\pi$
$421$	−20.0502	+	14.5673i	−0.977185	+	0.709966i	−0.0201071	+	0.999798i	$0.506401\pi$
$422$	−23.6143	−	24.1697i	−1.14953	−	1.17656i
$423$	−8.21871	+	2.67042i	−0.399608	+	0.129840i
$424$	−1.33744	+	6.88192i	−0.0649518	+	0.334215i
$425$	−7.31955	+	10.0745i	−0.355050	+	0.488685i
$426$	−4.08820	+	2.02354i	−0.198074	+	0.0980408i
$427$	−22.4988	−	7.31030i	−1.08879	−	0.353770i
$428$	5.81840	+	2.04121i	0.281243	+	0.0986657i
$429$	−4.00728	−	2.82007i	−0.193473	−	0.136154i
$430$	−22.6127	−	3.85143i	−1.09048	−	0.185732i
$431$	−0.546129	+	1.68081i	−0.0263061	+	0.0809619i	−0.963348	−	0.268256i	$-0.913553\pi$
$431$	−0.546129	+	1.68081i	−0.0263061	+	0.0809619i	0.937042	+	0.349218i	$0.113553\pi$
$432$	−0.880420	+	18.9234i	−0.0423592	+	0.910453i
$433$	26.6582	+	19.3684i	1.28111	+	0.930784i	0.999586	−	0.0287696i	$-0.00915892\pi$
$433$	26.6582	+	19.3684i	1.28111	+	0.930784i	0.281528	+	0.959553i	$0.409159\pi$
$434$	−27.5317	+	4.03316i	−1.32156	+	0.193598i
$435$	−0.264088	−	0.812780i	−0.0126621	−	0.0389698i
$436$	15.9370	−	11.0222i	0.763245	−	0.527868i
$437$	−5.65429	−	7.78247i	−0.270482	−	0.372286i
$438$	1.26771	−	2.41813i	0.0605737	−	0.115543i
$439$	27.3520			1.30544			0.652719	−	0.757600i	$-0.273628\pi$
$439$	27.3520			1.30544			0.652719	+	0.757600i	$0.273628\pi$
$440$	14.1850	+	7.58469i	0.676243	+	0.361586i
$441$	−2.77163			−0.131982
$442$	−6.38600	+	12.1811i	−0.303751	+	0.579397i
$443$	−0.996488	−	1.37155i	−0.0473446	−	0.0651642i	0.784688	−	0.619890i	$-0.212823\pi$
$443$	−0.996488	−	1.37155i	−0.0473446	−	0.0651642i	−0.832033	+	0.554726i	$0.812823\pi$
$444$	−0.558507	+	0.386269i	−0.0265056	+	0.0183315i
$445$	−4.47865	−	13.7839i	−0.212308	−	0.653418i
$446$	26.3993	−	3.86727i	1.25004	−	0.183121i
$447$	1.75589	+	1.27573i	0.0830506	+	0.0603398i
$448$	−17.7324	−	7.16278i	−0.837775	−	0.338410i
$449$	−5.72704	+	17.6260i	−0.270276	+	0.831823i	0.720155	+	0.693813i	$0.244071\pi$
$449$	−5.72704	+	17.6260i	−0.270276	+	0.831823i	−0.990431	+	0.138010i	$0.955929\pi$
$450$	6.19236	+	1.05469i	0.291911	+	0.0497187i
$451$	16.1383	+	4.97573i	0.759923	+	0.234298i
$452$	−20.2985	−	7.12111i	−0.954759	−	0.334949i
$453$	16.6857	+	5.42153i	0.783965	+	0.254726i
$454$	−14.2822	+	7.06927i	−0.670297	+	0.331777i
$455$	−3.87577	+	5.33454i	−0.181699	+	0.250087i
$456$	−3.38019	−	0.656910i	−0.158292	−	0.0307626i
$457$	10.3504	−	3.36303i	0.484169	−	0.157316i	−0.0567538	−	0.998388i	$-0.518075\pi$
$457$	10.3504	−	3.36303i	0.484169	−	0.157316i	0.540923	+	0.841072i	$0.318075\pi$
$458$	21.5963	+	22.1043i	1.00913	+	1.03287i
$459$	−23.1642	+	16.8298i	−1.08121	+	0.785547i
$460$	19.7896	+	15.0930i	0.922693	+	0.703716i
$461$			13.8278i			0.644024i	0.946736	+	0.322012i	$0.104359\pi$
$461$			13.8278i			0.644024i	−0.946736	+	0.322012i	$0.895641\pi$
$462$	10.1659	−	1.64626i	0.472962	−	0.0765910i
$463$			37.3657i			1.73653i	0.496099	+	0.868266i	$0.334765\pi$
$463$			37.3657i			1.73653i	−0.496099	+	0.868266i	$0.665235\pi$
$464$	−1.19284	−	1.81343i	−0.0553763	−	0.0841864i
$465$	10.4868	−	7.61907i	0.486311	−	0.353326i
$466$	−6.42661	+	6.27893i	−0.297707	+	0.290866i
$467$	13.1201	−	4.26296i	0.607124	−	0.197266i	0.0107086	−	0.999943i	$-0.496591\pi$
$467$	13.1201	−	4.26296i	0.607124	−	0.197266i	0.596415	+	0.802676i	$0.296591\pi$
$468$	6.93583	+	0.161259i	0.320609	+	0.00745420i
$469$	6.73176	−	9.26547i	0.310844	−	0.427840i
$470$	4.31086	+	8.70933i	0.198845	+	0.401731i
$471$	−8.56968	−	2.78446i	−0.394870	−	0.128301i
$472$	−9.66902	+	17.4449i	−0.445053	+	0.802968i
$473$	25.0999	−	18.8213i	1.15410	−	0.865402i
$474$	−0.562871	+	3.30475i	−0.0258535	+	0.151792i
$475$	−0.843692	+	2.59662i	−0.0387113	+	0.119141i
$476$	−8.29084	−	27.6908i	−0.380010	−	1.26921i
$477$	4.32423	+	3.14173i	0.197993	+	0.143850i
$478$	−3.06554	−	20.9264i	−0.140214	−	0.957152i
$479$	4.17392	+	12.8460i	0.190711	+	0.586949i	1.00000		0.000462487i	$-0.000147214\pi$
$479$	4.17392	+	12.8460i	0.190711	+	0.586949i	−0.809289	+	0.587411i	$0.800147\pi$
$480$	8.86536	−	0.880234i	0.404647	−	0.0401770i
$481$	0.349536	+	0.481095i	0.0159375	+	0.0219361i
$482$	−0.572862	−	0.300325i	−0.0260931	−	0.0136794i
$483$	15.9342			0.725031
$484$	−20.8756	+	6.94324i	−0.948892	+	0.315602i
$485$	−14.2771			−0.648291
$486$	20.2341	+	10.6078i	0.917835	+	0.481179i
$487$	−21.0066	−	28.9132i	−0.951902	−	1.31018i	−0.950677	−	0.310182i	$-0.899610\pi$
$487$	−21.0066	−	28.9132i	−0.951902	−	1.31018i	−0.00122483	−	0.999999i	$-0.500390\pi$
$488$	25.3670	−	11.8300i	1.14831	−	0.535518i
$489$	−4.04361	−	12.4450i	−0.182859	−	0.562781i
$490$	0.451760	+	3.08387i	0.0204084	+	0.139315i
$491$	−32.6427	−	23.7163i	−1.47314	−	1.07030i	−0.979688	−	0.200530i	$-0.935734\pi$
$491$	−32.6427	−	23.7163i	−1.47314	−	1.07030i	−0.493455	−	0.869771i	$-0.664266\pi$
$492$	8.96040	−	2.68281i	0.403966	−	0.120951i
$493$	1.01379	−	3.12013i	0.0456588	−	0.140523i
$494$	−0.506304	+	2.97264i	−0.0227797	+	0.133745i
$495$	9.81171	−	7.35735i	0.441004	−	0.330688i
$496$	20.5683	−	25.7067i	0.923542	−	1.15426i
$497$	−7.98446	−	2.59431i	−0.358152	−	0.116371i
$498$	2.28805	+	4.62259i	0.102530	+	0.207143i
$499$	2.39243	−	3.29289i	0.107100	−	0.147410i	−0.752103	−	0.659046i	$-0.770960\pi$
$499$	2.39243	−	3.29289i	0.107100	−	0.147410i	0.859202	+	0.511636i	$0.170960\pi$
$500$	0.562755	−	24.2044i	0.0251672	−	1.08245i
$501$	0.0612550	−	0.0199029i	0.00273667	−	0.000889198i
$502$	−12.8628	+	12.5672i	−0.574094	+	0.560901i
$503$	−15.7894	+	11.4717i	−0.704013	+	0.511496i	−0.881237	−	0.472675i	$-0.843288\pi$
$503$	−15.7894	+	11.4717i	−0.704013	+	0.511496i	0.177223	+	0.984171i	$0.443288\pi$
$504$	−10.6633	+	9.94441i	−0.474980	+	0.442959i
$505$			15.4836i			0.689010i
$506$	−33.6018	+	5.44145i	−1.49378	+	0.241902i
$507$		−	9.56335i		−	0.424723i
$508$	−0.395916	+	0.519114i	−0.0175659	+	0.0230320i
$509$	−18.9874	+	13.7952i	−0.841602	+	0.611459i	−0.922818	−	0.385237i	$-0.874120\pi$
$509$	−18.9874	+	13.7952i	−0.841602	+	0.611459i	0.0812160	+	0.996697i	$0.474120\pi$
$510$	9.41013	+	9.63146i	0.416688	+	0.426488i
$511$	4.77900	−	1.55279i	0.211410	−	0.0686914i
$512$	21.1236	−	8.11133i	0.933540	−	0.358473i
$513$	−3.68990	+	5.07871i	−0.162913	+	0.224231i
$514$	−1.88969	+	0.935339i	−0.0833505	+	0.0412560i
$515$	14.6675	+	4.76576i	0.646327	+	0.210004i
$516$	5.75208	−	16.3961i	0.253221	−	0.721798i
$517$	−12.7010	−	3.91596i	−0.558591	−	0.172224i
$518$	−1.23204	−	0.209844i	−0.0541329	−	0.00922000i
$519$	5.62759	−	17.3199i	0.247024	−	0.760261i
$520$	−0.951075	−	7.74347i	−0.0417074	−	0.339574i
$521$	−16.5556	−	12.0284i	−0.725315	−	0.526972i	0.162763	−	0.986665i	$-0.447959\pi$
$521$	−16.5556	−	12.0284i	−0.725315	−	0.526972i	−0.888078	+	0.459693i	$0.847959\pi$
$522$	−1.63740	+	0.239865i	−0.0716672	+	0.0104986i
$523$	−2.54447	−	7.83107i	−0.111262	−	0.342429i	0.879887	−	0.475183i	$-0.157618\pi$
$523$	−2.54447	−	7.83107i	−0.111262	−	0.342429i	−0.991149	+	0.132754i	$0.957618\pi$
$524$	12.3275	+	17.8244i	0.538529	+	0.778660i
$525$	−2.65822	−	3.65872i	−0.116014	−	0.159680i
$526$	9.69071	−	18.4848i	0.422535	−	0.805974i
$527$	49.7602			2.16759
$528$	−7.46799	+	9.62792i	−0.325002	+	0.419002i
$529$	−29.6679			−1.28991
$530$	2.79084	−	5.32345i	0.121226	−	0.231236i
$531$	8.93821	+	12.3024i	0.387885	+	0.533878i
$532$	−3.60488	−	5.21230i	−0.156291	−	0.225982i
$533$	−2.53112	−	7.78999i	−0.109635	−	0.337422i
$534$	10.8627	−	1.59129i	0.470074	−	0.0688617i
$535$	−4.27688	−	3.10734i	−0.184906	−	0.134342i
$536$	1.65191	+	13.4495i	0.0713515	+	0.580930i
$537$	0.977965	−	3.00987i	0.0422023	−	0.129885i
$538$	−18.3247	−	3.12110i	−0.790035	−	0.134560i
$539$	−3.48610	−	2.45330i	−0.150157	−	0.105671i
$540$	5.37664	−	15.3259i	0.231374	−	0.659523i
$541$	−20.9142	−	6.79544i	−0.899172	−	0.292159i	−0.177277	−	0.984161i	$-0.556729\pi$
$541$	−20.9142	−	6.79544i	−0.899172	−	0.292159i	−0.721895	+	0.692002i	$0.756729\pi$
$542$	−14.3256	+	7.09076i	−0.615339	+	0.304574i
$543$	−8.50834	+	11.7107i	−0.365128	+	0.502555i
$544$	29.5192	+	17.2702i	1.26562	+	0.740452i
$545$	−15.8001	+	5.13377i	−0.676803	+	0.219907i
$546$	−3.49060	−	3.57270i	−0.149384	−	0.152897i
$547$	−20.5153	+	14.9052i	−0.877170	+	0.637301i	−0.932501	−	0.361167i	$-0.882378\pi$
$547$	−20.5153	+	14.9052i	−0.877170	+	0.637301i	0.0553316	+	0.998468i	$0.482378\pi$
$548$	−1.53119	+	2.00766i	−0.0654093	+	0.0857629i
$549$		−	21.3398i		−	0.910762i
$550$	6.85506	+	6.80771i	0.292301	+	0.290282i
$551$		−	0.719286i		−	0.0306426i
$552$	−13.7876	+	12.8581i	−0.586841	+	0.547279i
$553$	−4.99148	+	3.62652i	−0.212259	+	0.154215i
$554$	1.59990	−	1.56314i	0.0679734	−	0.0664113i
$555$	0.553709	−	0.179911i	0.0235036	−	0.00763679i
$556$	0.467184	−	20.0938i	0.0198130	−	0.852167i
$557$	2.66116	−	3.66277i	0.112757	−	0.155197i	−0.748908	−	0.662673i	$-0.769422\pi$
$557$	2.66116	−	3.66277i	0.112757	−	0.155197i	0.861665	+	0.507477i	$0.169422\pi$
$558$	−11.1347	−	22.4957i	−0.471369	−	0.952317i
$559$	−14.4714	−	4.70205i	−0.612076	−	0.198876i
$560$	12.8027	+	10.2437i	0.541015	+	0.432874i
$561$	−18.4144	+	0.277871i	−0.777456	+	0.0117317i
$562$	2.09315	−	12.2894i	0.0882940	−	0.518396i
$563$	12.0512	−	37.0897i	0.507896	−	1.56314i	−0.287951	−	0.957645i	$-0.592974\pi$
$563$	12.0512	−	37.0897i	0.507896	−	1.56314i	0.795847	−	0.605498i	$-0.207026\pi$
$564$	−7.05194	+	2.11141i	−0.296940	+	0.0889062i
$565$	14.9206	+	10.8405i	0.627715	+	0.456062i
$566$	4.15667	+	28.3749i	0.174718	+	1.19269i
$567$	1.56572	+	4.81879i	0.0657540	+	0.202370i
$568$	9.00233	−	4.19827i	0.377729	−	0.176155i
$569$	20.6897	+	28.4769i	0.867357	+	1.19381i	0.979765	+	0.200152i	$0.0641436\pi$
$569$	20.6897	+	28.4769i	0.867357	+	1.19381i	−0.112408	+	0.993662i	$0.535856\pi$
$570$	2.61472	+	1.37078i	0.109519	+	0.0574155i
$571$	−28.8320			−1.20658			−0.603291	−	0.797521i	$-0.706144\pi$
$571$	−28.8320			−1.20658			−0.603291	+	0.797521i	$0.706144\pi$
$572$	8.58100	+	6.34205i	0.358790	+	0.265174i
$573$	6.54299			0.273337
$574$	15.2463	+	7.99293i	0.636368	+	0.333619i
$575$	8.78631	+	12.0933i	0.366414	+	0.504326i
$576$	1.20211	−	17.2095i	0.0500877	−	0.717064i
$577$	−1.76215	−	5.42333i	−0.0733591	−	0.225776i	0.907653	−	0.419720i	$-0.137872\pi$
$577$	−1.76215	−	5.42333i	−0.0733591	−	0.225776i	−0.981013	+	0.193944i	$0.937872\pi$
$578$	4.00765	+	27.3576i	0.166696	+	1.13793i
$579$	−12.5297	−	9.10333i	−0.520715	−	0.378321i
$580$	0.533774	+	1.78277i	0.0221638	+	0.0740254i
$581$	−2.93342	+	9.02814i	−0.121699	+	0.374551i
$582$	1.81586	−	10.6614i	0.0752700	−	0.441929i
$583$	2.65803	+	7.77917i	0.110084	+	0.322180i
$584$	−2.88217	+	5.20004i	−0.119265	+	0.215179i
$585$	−5.65697	−	1.83806i	−0.233887	−	0.0759945i
$586$	−8.75265	−	17.6832i	−0.361569	−	0.730485i
$587$	−24.8378	+	34.1864i	−1.02517	+	1.41102i	−0.116651	+	0.993173i	$0.537216\pi$
$587$	−24.8378	+	34.1864i	−1.02517	+	1.41102i	−0.908517	+	0.417849i	$0.862784\pi$
$588$	−2.36032	−	0.0548779i	−0.0973382	−	0.00226313i
$589$	10.3759	−	3.37133i	0.427530	−	0.138913i
$590$	12.2314	−	11.9504i	0.503560	−	0.491988i
$591$	18.3431	−	13.3271i	0.754536	−	0.548202i
$592$	1.23540	−	0.812627i	0.0507748	−	0.0333988i
$593$		−	21.6694i		−	0.889855i	−0.895567	−	0.444927i	$-0.853229\pi$
$593$		−	21.6694i		−	0.889855i	0.895567	−	0.444927i	$-0.146771\pi$
$594$	10.1533	+	19.7575i	0.416596	+	0.810658i
$595$			24.7822i			1.01597i
$596$	−3.75795	−	2.86610i	−0.153932	−	0.117400i
$597$	11.7101	−	8.50790i	0.479264	−	0.348205i
$598$	11.5376	+	11.8090i	0.471808	+	0.482905i
$599$	17.9158	−	5.82121i	0.732021	−	0.237848i	0.0807939	−	0.996731i	$-0.474254\pi$
$599$	17.9158	−	5.82121i	0.732021	−	0.237848i	0.651227	+	0.758883i	$0.274254\pi$
$600$	5.25254	+	1.02079i	0.214434	+	0.0416734i
$601$	8.90397	−	12.2553i	0.363200	−	0.499902i	−0.587837	−	0.808980i	$-0.700020\pi$
$601$	8.90397	−	12.2553i	0.363200	−	0.499902i	0.951037	+	0.309077i	$0.100020\pi$
$602$	28.6605	−	14.1861i	1.16811	−	0.578182i
$603$	9.82551	+	3.19250i	0.400126	+	0.130009i
$604$	−36.0500	−	12.6471i	−1.46685	−	0.514602i
$605$	18.8533	−	0.569118i	0.766495	−	0.0231379i
$606$	−11.5623	−	1.96931i	−0.469687	−	0.0799977i
$607$	−2.09788	+	6.45662i	−0.0851505	+	0.262066i	−0.984562	−	0.175037i	$-0.943996\pi$
$607$	−2.09788	+	6.45662i	−0.0851505	+	0.262066i	0.899411	+	0.437103i	$0.143996\pi$
$608$	7.32533	+	1.60116i	0.297081	+	0.0649358i
$609$	0.963895	+	0.700311i	0.0390590	+	0.0283780i
$610$	−23.7439	+	3.47827i	−0.961361	+	0.140831i
$611$	1.99202	+	6.13081i	0.0805885	+	0.248026i
$612$	21.4453	−	14.8318i	0.866875	−	0.599539i
$613$	−5.26974	−	7.25318i	−0.212843	−	0.292953i	0.689225	−	0.724547i	$-0.257951\pi$
$613$	−5.26974	−	7.25318i	−0.212843	−	0.292953i	−0.902068	+	0.431594i	$0.857951\pi$
$614$	−3.86650	+	7.37524i	−0.156039	+	0.297640i
$615$	−8.01922			−0.323366
$616$	−22.2143	+	3.06932i	−0.895039	+	0.123666i
$617$	41.7476			1.68069			0.840347	−	0.542049i	$-0.182351\pi$
$617$	41.7476			1.68069			0.840347	+	0.542049i	$0.182351\pi$
$618$	−5.42433	+	10.3468i	−0.218198	+	0.416207i
$619$	−3.56169	−	4.90225i	−0.143157	−	0.197038i	0.731418	−	0.681930i	$-0.238859\pi$
$619$	−3.56169	−	4.90225i	−0.143157	−	0.197038i	−0.874574	+	0.484892i	$0.838859\pi$
$620$	−23.2150	+	16.0557i	−0.932337	+	0.644813i
$621$	10.6210	+	32.6880i	0.426205	+	1.31172i
$622$	−36.7079	+	5.37738i	−1.47185	+	0.215613i
$623$	16.3466	+	11.8765i	0.654913	+	0.475822i
$624$	5.90337	+	0.274657i	0.236324	+	0.0109951i
$625$	−3.23190	+	9.94678i	−0.129276	+	0.397871i
$626$	23.8841	+	4.06798i	0.954603	+	0.162589i
$627$	−3.82090	+	1.30554i	−0.152592	+	0.0521383i
$628$	18.5150	+	6.49544i	0.738829	+	0.259196i
$629$	2.12560	+	0.690648i	0.0847531	+	0.0275379i
$630$	11.2036	−	5.54544i	0.446361	−	0.220935i
$631$	9.43855	−	12.9911i	0.375743	−	0.517166i	−0.578708	−	0.815535i	$-0.696443\pi$
$631$	9.43855	−	12.9911i	0.375743	−	0.517166i	0.954450	+	0.298369i	$0.0964427\pi$
$632$	1.39262	−	7.16587i	0.0553956	−	0.285043i
$633$	−20.8712	+	6.78147i	−0.829557	+	0.269539i
$634$	0.787867	+	0.806397i	0.0312902	+	0.0320261i
$635$	0.452836	−	0.329005i	0.0179703	−	0.0130562i
$636$	3.62031	+	2.76112i	0.143555	+	0.109486i
$637$			2.06752i			0.0819181i
$638$	−2.27180	−	1.14764i	−0.0899416	−	0.0454356i
$639$		−	7.57317i		−	0.299590i
$640$	−19.3442	+	1.46753i	−0.764647	+	0.0580090i
$641$	16.2489	−	11.8055i	0.641793	−	0.466290i	−0.218673	−	0.975798i	$-0.570173\pi$
$641$	16.2489	−	11.8055i	0.641793	−	0.466290i	0.860466	+	0.509508i	$0.170173\pi$
$642$	2.86436	−	2.79854i	0.113047	−	0.110449i
$643$	4.15001	−	1.34842i	0.163660	−	0.0531764i	−0.226041	−	0.974118i	$-0.572578\pi$
$643$	4.15001	−	1.34842i	0.163660	−	0.0531764i	0.389701	+	0.920941i	$0.372578\pi$
$644$	−34.6883	−	0.806507i	−1.36691	−	0.0317808i
$645$	−8.75640	+	12.0522i	−0.344783	+	0.474553i
$646$	5.02745	+	10.1571i	0.197802	+	0.399625i
$647$	−9.16047	−	2.97642i	−0.360135	−	0.117015i	0.123360	−	0.992362i	$-0.460633\pi$
$647$	−9.16047	−	2.97642i	−0.360135	−	0.117015i	−0.483495	+	0.875347i	$0.660633\pi$
$648$	−5.24334	−	2.90617i	−0.205978	−	0.114165i
$649$	0.352882	+	23.3853i	0.0138518	+	0.917953i
$650$	0.786755	−	4.61924i	0.0308591	−	0.181181i
$651$	−5.58433	+	17.1868i	−0.218867	+	0.673604i
$652$	8.17294	+	27.2970i	0.320077	+	1.06903i
$653$	−14.7817	−	10.7396i	−0.578454	−	0.420272i	0.259712	−	0.965686i	$-0.416372\pi$
$653$	−14.7817	−	10.7396i	−0.578454	−	0.420272i	−0.838167	+	0.545414i	$0.816372\pi$
$654$	−1.82406	−	12.4516i	−0.0713262	−	0.486897i
$655$	−5.74173	−	17.6712i	−0.224348	−	0.690472i
$656$	−19.6423	+	5.38688i	−0.766905	+	0.210322i
$657$	2.66433	+	3.66714i	0.103945	+	0.143069i
$658$	−11.9990	−	6.29053i	−0.467770	−	0.245230i
$659$	−17.9779			−0.700318			−0.350159	−	0.936690i	$-0.613872\pi$
$659$	−17.9779			−0.700318			−0.350159	+	0.936690i	$0.613872\pi$
$660$	8.50134	−	6.07126i	0.330914	−	0.236323i
$661$	2.57645			0.100212			0.0501062	−	0.998744i	$-0.484044\pi$
$661$	2.57645			0.100212			0.0501062	+	0.998744i	$0.484044\pi$
$662$	−26.6761	−	13.9851i	−1.03680	−	0.543545i
$663$	5.25024	+	7.22634i	0.203902	+	0.280648i
$664$	−4.74704	−	10.1791i	−0.184221	−	0.395024i
$665$	1.67903	+	5.16752i	0.0651100	+	0.200388i
$666$	−0.163409	−	1.11549i	−0.00633197	−	0.0432242i
$667$	−3.18600	−	2.31476i	−0.123362	−	0.0896280i
$668$	−0.134358	+	0.0402278i	−0.00519846	+	0.00155646i
$669$	5.35464	−	16.4799i	0.207022	−	0.637150i
$670$	1.95065	−	11.4528i	0.0753602	−	0.442459i
$671$	18.8889	−	26.8408i	0.729196	−	1.03618i
$672$	−9.27776	+	8.25754i	−0.357897	+	0.318542i
$673$	32.6554	+	10.6104i	1.25878	+	0.409001i	0.861058	−	0.508507i	$-0.169802\pi$
$673$	32.6554	+	10.6104i	1.25878	+	0.409001i	0.397717	+	0.917508i	$0.369802\pi$
$674$	6.82298	+	13.7846i	0.262812	+	0.530964i
$675$	5.73380	−	7.89190i	0.220694	−	0.303759i
$676$	−0.484048	+	20.8191i	−0.0186172	+	0.800736i
$677$	16.4156	−	5.33375i	0.630902	−	0.204993i	0.0239275	−	0.999714i	$-0.492383\pi$
$677$	16.4156	−	5.33375i	0.630902	−	0.204993i	0.606975	+	0.794721i	$0.292383\pi$
$678$	−9.99279	+	9.76316i	−0.383771	+	0.374952i
$679$	16.1029	−	11.6994i	0.617972	−	0.448983i
$680$	−19.9981	−	21.4437i	−0.766892	−	0.822329i
$681$			10.3496i			0.396598i
$682$	5.90696	−	38.1504i	0.226189	−	1.46085i
$683$		−	0.254052i		−	0.00972104i	−0.999988	−	0.00486052i	$-0.998453\pi$
$683$		−	0.254052i		−	0.00972104i	0.999988	−	0.00486052i	$-0.00154716\pi$
$684$	3.46684	−	4.54563i	0.132558	−	0.173807i
$685$	1.75133	−	1.27242i	0.0669148	−	0.0486165i
$686$	−19.5748	−	20.0352i	−0.747370	−	0.764949i
$687$	19.0877	−	6.20196i	0.728240	−	0.236620i
$688$	−13.3520	+	35.4027i	−0.509041	+	1.34972i
$689$	2.34360	−	3.22569i	0.0892840	−	0.122889i
$690$	14.4862	−	7.17026i	0.551482	−	0.272967i
$691$	−9.02104	−	2.93111i	−0.343176	−	0.111505i	0.132358	−	0.991202i	$-0.457745\pi$
$691$	−9.02104	−	2.93111i	−0.343176	−	0.111505i	−0.475534	+	0.879697i	$0.657745\pi$
$692$	−13.1278	+	37.4202i	−0.499043	+	1.42250i
$693$	−5.03744	+	16.3384i	−0.191356	+	0.620646i
$694$	−0.897175	−	0.152808i	−0.0340563	−	0.00580052i
$695$	−5.32505	+	16.3888i	−0.201991	+	0.621663i
$696$	−1.39916	+	0.171849i	−0.0530352	+	0.00651393i
$697$	−24.9051	−	18.0946i	−0.943349	−	0.685383i
$698$	24.1791	−	3.54203i	0.915193	−	0.134068i
$699$	1.80316	+	5.54956i	0.0682018	+	0.209904i
$700$	5.60168	+	8.09949i	0.211724	+	0.306132i
$701$	−5.04306	−	6.94118i	−0.190474	−	0.262165i	0.703090	−	0.711101i	$-0.251803\pi$
$701$	−5.04306	−	6.94118i	−0.190474	−	0.262165i	−0.893564	+	0.448936i	$0.851803\pi$
$702$	5.00250	−	9.54214i	0.188807	−	0.360145i
$703$	0.490016			0.0184813
$704$	16.7449	−	20.5817i	0.631098	−	0.775703i
$705$	6.31122			0.237694
$706$	18.6371	−	35.5498i	0.701417	−	1.33793i
$707$	−12.6881	−	17.4636i	−0.477184	−	0.656787i
$708$	7.36820	+	10.6537i	0.276914	+	0.400391i
$709$	2.13737	+	6.57816i	0.0802708	+	0.247048i	0.983136	−	0.182875i	$-0.0585405\pi$
$709$	2.13737	+	6.57816i	0.0802708	+	0.247048i	−0.902865	+	0.429924i	$0.858541\pi$
$710$	−8.42632	+	1.23438i	−0.316234	+	0.0463256i
$711$	−4.50265	−	3.27136i	−0.168862	−	0.122686i
$712$	−23.7283	+	2.91437i	−0.889255	+	0.109221i
$713$	18.4581	−	56.8082i	0.691261	−	2.12748i
$714$	−18.5060	−	3.15197i	−0.692571	−	0.117960i
$715$	−5.48827	−	7.31912i	−0.205250	−	0.273720i
$716$	−2.28135	+	6.50290i	−0.0852580	+	0.243025i
$717$	−13.0634	−	4.24456i	−0.487862	−	0.158516i
$718$	36.1900	−	17.9130i	1.35060	−	0.668506i
$719$	11.1867	−	15.3972i	0.417195	−	0.574219i	−0.547760	−	0.836636i	$-0.684519\pi$
$719$	11.1867	−	15.3972i	0.417195	−	0.574219i	0.964955	+	0.262416i	$0.0845193\pi$
$720$	−5.21939	+	13.8391i	−0.194515	+	0.515755i
$721$	−20.4485	+	6.64412i	−0.761542	+	0.247440i
$722$	−17.0414	−	17.4422i	−0.634216	−	0.649133i
$723$	−0.339845	+	0.246912i	−0.0126390	+	0.00918274i
$724$	19.1151	−	25.0633i	0.710409	−	0.931469i
$725$			1.11771i			0.0415108i
$726$	−1.97290	+	14.1510i	−0.0732213	+	0.525193i
$727$		−	19.7014i		−	0.730685i	−0.930873	−	0.365342i	$-0.880952\pi$
$727$		−	19.7014i		−	0.730685i	0.930873	−	0.365342i	$-0.119048\pi$
$728$	7.41811	+	7.95435i	0.274933	+	0.294808i
$729$	6.85951	−	4.98372i	0.254056	−	0.184582i
$730$	3.64598	−	3.56220i	0.134944	−	0.131843i
$731$	−54.3892	+	17.6721i	−2.01166	+	0.653627i
$732$	0.422526	−	18.1730i	0.0156170	−	0.671695i
$733$	−29.2902	+	40.3146i	−1.08186	+	1.48905i	−0.224403	+	0.974496i	$0.572043\pi$
$733$	−29.2902	+	40.3146i	−1.08186	+	1.48905i	−0.857457	+	0.514556i	$0.827957\pi$
$734$	0.244308	+	0.493582i	0.00901759	+	0.0182184i
$735$	1.92512	+	0.625509i	0.0710091	+	0.0230722i
$736$	30.6661	−	27.2940i	1.13037	−	1.00607i
$737$	9.53248	+	12.7125i	0.351133	+	0.468270i
$738$	−2.60730	+	15.3081i	−0.0959761	+	0.563500i
$739$	−5.07527	+	15.6201i	−0.186697	+	0.574593i	−0.999973	−	0.00728362i	$-0.997682\pi$
$739$	−5.07527	+	15.6201i	−0.186697	+	0.574593i	0.813277	+	0.581877i	$0.197682\pi$
$740$	−1.21452	+	0.363635i	−0.0446465	+	0.0133675i
$741$	1.58436	+	1.15111i	0.0582029	+	0.0422869i
$742$	1.21459	+	8.29118i	0.0445888	+	0.304379i
$743$	−0.924280	−	2.84464i	−0.0339086	−	0.104360i	0.932670	−	0.360731i	$-0.117473\pi$
$743$	−0.924280	−	2.84464i	−0.0339086	−	0.104360i	−0.966578	+	0.256372i	$0.917473\pi$
$744$	−9.03690	−	19.3778i	−0.331309	−	0.710425i
$745$	2.38172	+	3.27815i	0.0872593	+	0.120102i
$746$	12.4645	+	6.53457i	0.456358	+	0.239248i
$747$	−8.56310			−0.313307
$748$	40.1017	+	0.327124i	1.46626	+	0.0119609i
$749$	7.37013			0.269299
$750$	−13.9260	−	7.30078i	−0.508507	−	0.266587i
$751$	24.4608	+	33.6674i	0.892587	+	1.22854i	0.972773	+	0.231761i	$0.0744488\pi$
$751$	24.4608	+	33.6674i	0.892587	+	1.22854i	−0.0801854	+	0.996780i	$0.525551\pi$
$752$	15.4588	−	4.23954i	0.563723	−	0.154600i
$753$	3.60900	+	11.1074i	0.131519	+	0.404775i
$754$	0.178929	+	1.22143i	0.00651622	+	0.0444819i
$755$	26.4990	+	19.2526i	0.964397	+	0.700675i
$756$	6.49467	+	21.6917i	0.236209	+	0.788920i
$757$	−7.07412	+	21.7719i	−0.257113	+	0.791313i	0.736293	+	0.676663i	$0.236575\pi$
$757$	−7.07412	+	21.7719i	−0.257113	+	0.791313i	−0.993406	+	0.114650i	$0.963425\pi$
$758$	−4.77572	+	28.0394i	−0.173462	+	1.01844i
$759$	−6.51342	+	21.1256i	−0.236422	+	0.766812i
$760$	−5.62279	−	3.11649i	−0.203960	−	0.113047i
$761$	−45.5970	−	14.8154i	−1.65289	−	0.537056i	−0.673526	−	0.739163i	$-0.735221\pi$
$761$	−45.5970	−	14.8154i	−1.65289	−	0.537056i	−0.979363	+	0.202107i	$0.935221\pi$
$762$	0.188088	+	0.379999i	0.00681372	+	0.0137659i
$763$	13.6138	−	18.7377i	0.492851	−	0.678352i
$764$	−14.2439	−	0.331173i	−0.515326	−	0.0119814i
$765$	−21.2611	+	6.90814i	−0.768696	+	0.249764i
$766$	10.4004	−	10.1614i	0.375783	−	0.367148i
$767$	9.17705	−	6.66752i	0.331364	−	0.240750i
$768$	1.36446	−	14.6319i	0.0492357	−	0.527982i
$769$		−	43.0718i		−	1.55321i	−0.629989	−	0.776604i	$-0.716941\pi$
$769$		−	43.0718i		−	1.55321i	0.629989	−	0.776604i	$-0.283059\pi$
$770$	19.0001	+	2.94186i	0.684717	+	0.106017i
$771$			1.36936i			0.0493164i
$772$	26.8160	+	20.4519i	0.965127	+	0.736080i
$773$	10.3986	−	7.55502i	0.374011	−	0.271735i	−0.384861	−	0.922975i	$-0.625751\pi$
$773$	10.3986	−	7.55502i	0.374011	−	0.271735i	0.758872	+	0.651239i	$0.225751\pi$
$774$	20.1597	+	20.6339i	0.724626	+	0.741670i
$775$	−16.1233	+	5.23877i	−0.579165	+	0.188182i
$776$	−4.49271	+	23.1176i	−0.161279	+	0.829875i
$777$	−0.477089	+	0.656656i	−0.0171155	+	0.0235574i
$778$	−24.4363	+	12.0952i	−0.876083	+	0.433635i
$779$	−6.41909	−	2.08569i	−0.229988	−	0.0747276i
$780$	−4.78109	−	1.67730i	−0.171191	−	0.0600571i
$781$	6.70336	−	9.52537i	0.239865	−	0.340844i
$782$	61.1687	+	10.4183i	2.18739	+	0.372559i
$783$	−0.794157	+	2.44417i	−0.0283809	+	0.0873473i
$784$	5.13558	+	0.238935i	0.183414	+	0.00853340i
$785$	−13.6097	−	9.88801i	−0.485750	−	0.352918i
$786$	13.9262	−	2.04007i	0.496731	−	0.0727668i
$787$	12.3196	+	37.9159i	0.439147	+	1.35156i	0.888777	+	0.458341i	$0.151556\pi$
$787$	12.3196	+	37.9159i	0.439147	+	1.35156i	−0.449629	+	0.893215i	$0.648444\pi$
$788$	−40.6071	+	28.0842i	−1.44657	+	1.00046i
$789$	−7.96720	−	10.9659i	−0.283640	−	0.390397i
$790$	−2.90599	+	5.54310i	−0.103391	+	0.197215i
$791$	−25.7119			−0.914211
$792$	−8.82554	−	18.2024i	−0.313602	−	0.646795i
$793$	−15.9186			−0.565287
$794$	−25.0200	+	47.7250i	−0.887927	+	1.69370i
$795$	−2.29448	−	3.15809i	−0.0813770	−	0.112006i
$796$	−25.9232	+	17.9288i	−0.918825	+	0.635468i
$797$	−8.31012	−	25.5759i	−0.294360	−	0.905946i	−0.983436	−	0.181257i	$-0.941984\pi$
$797$	−8.31012	−	25.5759i	−0.294360	−	0.905946i	0.689076	−	0.724689i	$-0.258016\pi$
$798$	−4.07238	+	0.596568i	−0.144161	+	0.0211183i
$799$	19.6006	+	14.2407i	0.693420	+	0.503799i
$800$	−11.3830	−	2.48808i	−0.402449	−	0.0879668i
$801$	−5.63237	+	17.3346i	−0.199010	+	0.612489i
$802$	5.78815	+	0.985846i	0.204387	+	0.0348114i
$803$	0.105188	+	6.97076i	0.00371201	+	0.245993i
$804$	8.30421	+	2.91328i	0.292867	+	0.102744i
$805$	28.2923	+	9.19273i	0.997173	+	0.324001i
$806$	−16.7808	+	8.30600i	−0.591078	+	0.292566i
$807$	−7.09595	+	9.76674i	−0.249789	+	0.343806i
$808$	25.0711	+	4.87236i	0.882000	+	0.171409i
$809$	−11.0316	+	3.58440i	−0.387852	+	0.126021i	−0.496451	−	0.868065i	$-0.665364\pi$
$809$	−11.0316	+	3.58440i	−0.387852	+	0.126021i	0.108599	+	0.994086i	$0.465364\pi$
$810$	3.59186	+	3.67634i	0.126205	+	0.129173i
$811$	29.6177	−	21.5185i	1.04002	−	0.755616i	0.0697279	−	0.997566i	$-0.477787\pi$
$811$	29.6177	−	21.5185i	1.04002	−	0.755616i	0.970289	+	0.241950i	$0.0777869\pi$
$812$	−2.06293	−	1.57334i	−0.0723945	−	0.0552136i
$813$			10.3811i			0.364080i
$814$	0.781835	−	1.54767i	0.0274033	−	0.0542459i
$815$		−	24.4298i		−	0.855738i
$816$	18.5565	−	12.2061i	0.649608	−	0.427301i
$817$	−10.1438	+	7.36989i	−0.354886	+	0.257840i
$818$	−11.4528	+	11.1896i	−0.400439	+	0.391237i
$819$	7.88660	−	2.56251i	0.275580	−	0.0895414i
$820$	17.4576	+	0.405892i	0.609646	+	0.0141744i
$821$	18.6399	−	25.6556i	0.650536	−	0.895386i	−0.348586	−	0.937277i	$-0.613338\pi$
$821$	18.6399	−	25.6556i	0.650536	−	0.895386i	0.999122	+	0.0418907i	$0.0133381\pi$
$822$	0.727425	+	1.46963i	0.0253719	+	0.0512593i
$823$	17.5566	+	5.70447i	0.611983	+	0.198845i	0.598578	−	0.801065i	$-0.295733\pi$
$823$	17.5566	+	5.70447i	0.611983	+	0.198845i	0.0134055	+	0.999910i	$0.495733\pi$
$824$	12.3323	−	22.2500i	0.429616	−	0.775117i
$825$	5.93736	−	2.02871i	0.206712	−	0.0706305i
$826$	−4.00284	+	23.5016i	−0.139276	+	0.817727i
$827$	−5.85114	+	18.0080i	−0.203464	+	0.626199i	0.796309	+	0.604890i	$0.206783\pi$
$827$	−5.85114	+	18.0080i	−0.203464	+	0.626199i	−0.999773	+	0.0213081i	$0.993217\pi$
$828$	−8.97758	−	29.9845i	−0.311993	−	1.04203i
$829$	−6.62707	−	4.81485i	−0.230168	−	0.167227i	0.466724	−	0.884403i	$-0.345434\pi$
$829$	−6.62707	−	4.81485i	−0.230168	−	0.167227i	−0.696892	+	0.717176i	$0.745434\pi$
$830$	1.39573	+	9.52777i	0.0484467	+	0.330714i
$831$	−0.448896	−	1.38156i	−0.0155720	−	0.0479258i
$832$	−12.8376	−	0.896719i	−0.445063	−	0.0310881i
$833$	4.56740	+	6.28649i	0.158251	+	0.217814i
$834$	−11.5610	−	6.06091i	−0.400325	−	0.209872i
$835$	0.120245			0.00416125
$836$	8.38406	−	2.64873i	0.289969	−	0.0916084i
$837$	−38.9799			−1.34734
$838$	−26.5654	−	13.9270i	−0.917687	−	0.481101i
$839$	−21.3596	−	29.3990i	−0.737416	−	1.01497i	−0.998763	−	0.0497210i	$-0.984167\pi$
$839$	−21.3596	−	29.3990i	−0.737416	−	1.01497i	0.261347	−	0.965245i	$-0.415833\pi$
$840$	9.65077	−	4.50067i	0.332983	−	0.155288i
$841$	8.87050	+	27.3006i	0.305879	+	0.941400i
$842$	−5.08015	−	34.6788i	−0.175073	−	1.19511i
$843$	−6.55001	−	4.75886i	−0.225594	−	0.163904i
$844$	45.7793	−	13.7067i	1.57579	−	0.471804i
$845$	5.51727	−	16.9804i	0.189800	−	0.584144i
$846$	2.05198	−	12.0477i	0.0705484	−	0.414207i
$847$	−20.7979	+	16.0913i	−0.714623	+	0.552903i
$848$	−7.74156	−	6.19413i	−0.265846	−	0.212707i
$849$	17.7132	+	5.75535i	0.607914	+	0.197523i
$850$	−7.81225	−	15.7833i	−0.267958	−	0.541362i
$851$	1.57694	−	2.17047i	0.0540568	−	0.0744028i
$852$	0.149948	−	6.44932i	0.00513712	−	0.220950i
$853$	−11.3089	+	3.67449i	−0.387210	+	0.125812i	−0.496152	−	0.868236i	$-0.665254\pi$
$853$	−11.3089	+	3.67449i	−0.387210	+	0.125812i	0.108941	+	0.994048i	$0.465254\pi$
$854$	23.9300	−	23.3801i	0.818867	−	0.800049i
$855$	−3.96527	+	2.88093i	−0.135609	+	0.0985259i
$856$	−6.37728	+	5.94735i	−0.217971	+	0.203276i
$857$			35.7039i			1.21962i	0.792547	+	0.609811i	$0.208755\pi$
$857$			35.7039i			1.21962i	−0.792547	+	0.609811i	$0.791245\pi$
$858$	6.16356	−	3.16745i	0.210420	−	0.108135i
$859$		−	40.2518i		−	1.37337i	−0.726953	−	0.686687i	$-0.759064\pi$
$859$		−	40.2518i		−	1.37337i	0.726953	−	0.686687i	$-0.240936\pi$
$860$	19.6725	−	25.7940i	0.670825	−	0.879568i
$861$	9.04472	−	6.57137i	0.308243	−	0.223952i
$862$	−1.74665	−	1.78773i	−0.0594911	−	0.0608904i
$863$	−17.2998	+	5.62104i	−0.588891	+	0.191342i	−0.588280	−	0.808657i	$-0.700195\pi$
$863$	−17.2998	+	5.62104i	−0.588891	+	0.191342i	−0.000611565		1.00000i	$0.500195\pi$
$864$	−23.1240	−	13.5287i	−0.786693	−	0.460254i
$865$	19.9844	−	27.5062i	0.679490	−	0.935238i
$866$	−41.7643	+	20.6721i	−1.41921	+	0.702466i
$867$	17.0781	+	5.54901i	0.580003	+	0.188454i
$868$	13.0268	−	37.1325i	0.442160	−	1.26036i
$869$	−2.76770	−	8.10014i	−0.0938877	−	0.274779i
$870$	1.19144	+	0.202928i	0.0403936	+	0.00687990i
$871$	2.38147	−	7.32941i	0.0806930	−	0.248348i
$872$	3.34068	+	27.1992i	0.113130	+	0.921081i
$873$	14.5259	+	10.5537i	0.491627	+	0.357188i
$874$	13.4606	−	1.97186i	0.455311	−	0.0666991i
$875$	−8.94254	−	27.5223i	−0.302313	−	0.930424i
$876$	2.19634	+	3.17569i	0.0742074	+	0.107297i
$877$	23.4777	+	32.3142i	0.792784	+	1.09117i	0.993756	+	0.111577i	$0.0355902\pi$
$877$	23.4777	+	32.3142i	0.792784	+	1.09117i	−0.200971	+	0.979597i	$0.564410\pi$
$878$	−17.9604	+	34.2591i	−0.606135	+	1.15619i
$879$	−12.8141			−0.432210
$880$	−18.8145	+	12.7867i	−0.634236	+	0.431038i
$881$	21.8173			0.735045			0.367522	−	0.930015i	$-0.380206\pi$
$881$	21.8173			0.735045			0.367522	+	0.930015i	$0.380206\pi$
$882$	1.81997	−	3.47154i	0.0612815	−	0.116893i
$883$	−9.07011	−	12.4839i	−0.305234	−	0.420118i	0.628654	−	0.777685i	$-0.283606\pi$
$883$	−9.07011	−	12.4839i	−0.305234	−	0.420118i	−0.933887	+	0.357567i	$0.883606\pi$
$884$	−11.0639	−	15.9973i	−0.372118	−	0.538047i
$885$	−3.43186	−	10.5622i	−0.115361	−	0.355044i
$886$	2.37223	−	0.347512i	0.0796968	−	0.0116749i
$887$	13.7001	+	9.95369i	0.460004	+	0.334212i	0.793533	−	0.608528i	$-0.208240\pi$
$887$	13.7001	+	9.95369i	0.460004	+	0.334212i	−0.333529	+	0.942740i	$0.608240\pi$
$888$	−0.117073	−	0.953184i	−0.00392871	−	0.0319868i
$889$	−0.241141	+	0.742156i	−0.00808761	+	0.0248911i
$890$	20.2055	+	3.44143i	0.677290	+	0.115357i
$891$	−7.02880	+	0.106064i	−0.235474	+	0.00355327i
$892$	−12.4910	+	35.6053i	−0.418231	+	1.19215i
$893$	5.05190	+	1.64146i	0.169055	+	0.0549294i
$894$	−2.75087	+	1.36160i	−0.0920029	+	0.0455387i
$895$	3.47290	−	4.78003i	0.116086	−	0.159779i
$896$	20.6154	−	17.5069i	0.688711	−	0.584863i
$897$	10.1974	−	3.31333i	0.340481	−	0.110629i
$898$	−18.3164	−	18.7472i	−0.611227	−	0.625603i
$899$	3.61330	−	2.62522i	0.120510	−	0.0875559i
$900$	−5.38719	+	7.06354i	−0.179573	+	0.235451i
$901$		−	14.9853i		−	0.499233i
$902$	−16.8293	+	16.9464i	−0.560355	+	0.564252i
$903$		−	20.7688i		−	0.691144i
$904$	22.2482	−	20.7483i	0.739964	−	0.690079i
$905$	−21.8633	+	15.8846i	−0.726761	+	0.528023i
$906$	−17.7472	+	17.3393i	−0.589610	+	0.576061i
$907$	23.7227	−	7.70798i	0.787700	−	0.255939i	0.112576	−	0.993643i	$-0.464090\pi$
$907$	23.7227	−	7.70798i	0.787700	−	0.255939i	0.675124	+	0.737704i	$0.264090\pi$
$908$	0.523844	−	22.5308i	0.0173844	−	0.747711i
$909$	11.4455	−	15.7534i	0.379623	−	0.522506i
$910$	−4.13666	−	8.35738i	−0.137129	−	0.277045i
$911$	42.2349	+	13.7229i	1.39930	+	0.454662i	0.908966	−	0.416871i	$-0.136873\pi$
$911$	42.2349	+	13.7229i	1.39930	+	0.454662i	0.490338	+	0.871532i	$0.336873\pi$
$912$	3.04237	−	3.80242i	0.100743	−	0.125911i
$913$	−10.7705	−	7.57958i	−0.356451	−	0.250848i
$914$	−2.58419	+	15.1724i	−0.0854773	+	0.501858i
$915$	−4.81603	+	14.8222i	−0.159213	+	0.490008i
$916$	−41.8672	+	12.5354i	−1.38333	+	0.414180i
$917$	20.9567	+	15.2260i	0.692052	+	0.502805i
$918$	−5.86916	−	40.0649i	−0.193711	−	1.32234i
$919$	14.9742	+	46.0859i	0.493954	+	1.52023i	0.818580	+	0.574392i	$0.194761\pi$
$919$	14.9742	+	46.0859i	0.493954	+	1.52023i	−0.324626	+	0.945842i	$0.605239\pi$
$920$	−31.8991	+	14.8762i	−1.05168	+	0.490455i
$921$	3.17883	+	4.37529i	0.104746	+	0.144171i
$922$	−17.3197	−	9.07990i	−0.570393	−	0.299031i
$923$	−5.64926			−0.185948
$924$	−4.61339	+	13.8141i	−0.151769	+	0.454451i
$925$	−0.761445			−0.0250362
$926$	−46.8015	−	24.5359i	−1.53799	−	0.806299i
$927$	−11.4002	−	15.6910i	−0.374432	−	0.515361i
$928$	3.05464	−	0.303292i	0.100273	−	0.00995606i
$929$	6.91854	+	21.2931i	0.226990	+	0.698603i	0.998084	+	0.0618814i	$0.0197100\pi$
$929$	6.91854	+	21.2931i	0.226990	+	0.698603i	−0.771094	+	0.636722i	$0.780290\pi$
$930$	2.65705	+	18.1379i	0.0871280	+	0.594766i
$931$	1.37830	+	1.00139i	0.0451720	+	0.0328194i
$932$	−3.64454	−	12.1725i	−0.119381	−	0.398723i
$933$	−7.44555	+	22.9150i	−0.243756	+	0.750205i
$934$	−3.27570	+	19.2324i	−0.107184	+	0.629305i
$935$	−32.8564	−	10.1302i	−1.07452	−	0.331294i
$936$	−4.75634	+	8.58142i	−0.155466	+	0.280493i
$937$	−34.2110	−	11.1158i	−1.11762	−	0.363138i	−0.308763	−	0.951139i	$-0.599915\pi$
$937$	−34.2110	−	11.1158i	−1.11762	−	0.363138i	−0.808860	+	0.588001i	$0.799915\pi$
$938$	7.18489	+	14.5158i	0.234595	+	0.473958i
$939$	9.24875	−	12.7298i	0.301821	−	0.415422i
$940$	−13.7393	−	0.319442i	−0.448128	−	0.0104190i
$941$	47.1567	−	15.3221i	1.53726	−	0.499487i	0.586644	−	0.809845i	$-0.300449\pi$
$941$	47.1567	−	15.3221i	1.53726	−	0.499487i	0.950620	+	0.310357i	$0.100449\pi$
$942$	9.11481	−	8.90535i	0.296977	−	0.290152i
$943$	−29.8959	+	21.7206i	−0.973543	+	0.707320i
$944$	−15.5011	−	23.5658i	−0.504519	−	0.767000i
$945$		−	19.4133i		−	0.631513i
$946$	7.09247	+	43.7971i	0.230596	+	1.42397i
$947$		−	45.1846i		−	1.46830i	−0.678985	−	0.734152i	$-0.737580\pi$
$947$		−	45.1846i		−	1.46830i	0.678985	−	0.734152i	$-0.262420\pi$
$948$	−3.76969	−	2.87505i	−0.122434	−	0.0933773i
$949$	2.73553	−	1.98748i	0.0887989	−	0.0645162i
$950$	−2.69833	−	2.76179i	−0.0875453	−	0.0896044i
$951$	0.696347	−	0.226257i	0.0225806	−	0.00733688i
$952$	40.1276	+	7.79844i	1.30054	+	0.252749i
$953$	−17.5119	+	24.1030i	−0.567265	+	0.780774i	−0.992227	−	0.124437i	$-0.960287\pi$
$953$	−17.5119	+	24.1030i	−0.567265	+	0.780774i	0.424962	+	0.905211i	$0.360287\pi$
$954$	−6.77457	+	3.35321i	−0.219335	+	0.108564i
$955$	11.6176	+	3.77477i	0.375935	+	0.122149i
$956$	28.2239	+	9.90149i	0.912825	+	0.320237i
$957$	−1.32249	+	0.991672i	−0.0427500	+	0.0320562i
$958$	−18.8307	−	3.20728i	−0.608393	−	0.103622i
$959$	−0.932605	+	2.87026i	−0.0301154	+	0.0926856i
$960$	−4.71885	+	11.6821i	−0.152300	+	0.377038i
$961$	29.7256	+	21.5969i	0.958889	+	0.696674i
$962$	−0.832105	+	0.121896i	−0.0268281	+	0.00393009i
$963$	2.05445	+	6.32296i	0.0662038	+	0.203754i
$964$	0.752330	−	0.520319i	0.0242309	−	0.0167583i
$965$	−16.9954	−	23.3922i	−0.547103	−	0.753022i
$966$	−10.4631	+	19.9580i	−0.336643	+	0.642138i
$967$	2.10906			0.0678227			0.0339113	−	0.999425i	$-0.489204\pi$
$967$	2.10906			0.0678227			0.0339113	+	0.999425i	$0.489204\pi$
$968$	5.01121	−	30.7065i	0.161066	−	0.986944i
$969$	7.36033			0.236448
$970$	9.37496	−	17.8825i	0.301012	−	0.574172i
$971$	33.7588	+	46.4651i	1.08337	+	1.49113i	0.855753	+	0.517385i	$0.173094\pi$
$971$	33.7588	+	46.4651i	1.08337	+	1.49113i	0.227620	+	0.973750i	$0.426906\pi$
$972$	−26.5730	+	18.3782i	−0.852331	+	0.589480i
$973$	−7.42385	−	22.8483i	−0.237998	−	0.732481i
$974$	50.0083	−	7.32579i	1.60237	−	0.234733i
$975$	−2.46197	−	1.78872i	−0.0788461	−	0.0572850i
$976$	−1.83965	+	39.5408i	−0.0588859	+	1.26567i
$977$	1.61602	−	4.97360i	0.0517011	−	0.159120i	−0.921872	−	0.387494i	$-0.873341\pi$
$977$	1.61602	−	4.97360i	0.0517011	−	0.159120i	0.973573	+	0.228374i	$0.0733409\pi$
$978$	18.2429	+	3.10715i	0.583342	+	0.0993557i
$979$	−22.4279	+	16.8177i	−0.716800	+	0.537495i
$980$	−4.15927	−	1.45916i	−0.132863	−	0.0466110i
$981$	19.8703	+	6.45625i	0.634410	+	0.206132i
$982$	51.1398	−	25.3127i	1.63194	−	0.807760i
$983$	−16.7859	+	23.1038i	−0.535386	+	0.736896i	−0.987939	−	0.154841i	$-0.950513\pi$
$983$	−16.7859	+	23.1038i	−0.535386	+	0.736896i	0.452553	+	0.891738i	$0.350513\pi$
$984$	−2.52348	+	12.9848i	−0.0804456	+	0.413940i
$985$	40.2582	−	13.0807i	1.28273	−	0.416785i
$986$	3.24234	+	3.31861i	0.103257	+	0.105686i
$987$	−7.11830	+	5.17175i	−0.226578	+	0.164619i
$988$	−3.39085	−	2.58612i	−0.107877	−	0.0822753i
$989$			68.6481i			2.18288i
$990$	2.77249	+	17.1206i	0.0881155	+	0.544127i
$991$		−	0.537995i		−	0.0170900i	−0.999963	−	0.00854499i	$-0.997280\pi$
$991$		−	0.537995i		−	0.0170900i	0.999963	−	0.00854499i	$-0.00271999\pi$
$992$	18.6923	+	42.6423i	0.593481	+	1.35390i
$993$	−15.8254	+	11.4978i	−0.502203	+	0.364872i
$994$	8.49236	−	8.29721i	0.269361	−	0.263172i
$995$	25.7006	−	8.35062i	0.814762	−	0.264732i
$996$	−7.29235	−	0.169548i	−0.231067	−	0.00537233i
$997$	14.2814	−	19.6567i	0.452297	−	0.622534i	−0.520592	−	0.853806i	$-0.674289\pi$
$997$	14.2814	−	19.6567i	0.452297	−	0.622534i	0.972889	+	0.231272i	$0.0742887\pi$
$998$	2.55347	+	5.15883i	0.0808286	+	0.163300i
$999$	−1.66509	−	0.541022i	−0.0526813	−	0.0171172i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	44.2.g.a.35.3	✓	16
3.2	odd	2		396.2.r.a.343.2		16
4.3	odd	2	inner	44.2.g.a.35.4	yes	16
8.3	odd	2		704.2.u.c.255.3		16
8.5	even	2		704.2.u.c.255.2		16
11.2	odd	10		484.2.g.f.239.1		16
11.3	even	5		484.2.g.f.403.4		16
11.4	even	5		484.2.c.d.483.1		16
11.5	even	5		484.2.g.i.215.1		16
11.6	odd	10	inner	44.2.g.a.39.4	yes	16
11.7	odd	10		484.2.c.d.483.16		16
11.8	odd	10		484.2.g.j.403.1		16
11.9	even	5		484.2.g.j.239.4		16
11.10	odd	2		484.2.g.i.475.2		16
12.11	even	2		396.2.r.a.343.1		16
33.17	even	10		396.2.r.a.127.1		16
44.3	odd	10		484.2.g.f.403.1		16
44.7	even	10		484.2.c.d.483.2		16
44.15	odd	10		484.2.c.d.483.15		16
44.19	even	10		484.2.g.j.403.4		16
44.27	odd	10		484.2.g.i.215.2		16
44.31	odd	10		484.2.g.j.239.1		16
44.35	even	10		484.2.g.f.239.4		16
44.39	even	10	inner	44.2.g.a.39.3	yes	16
44.43	even	2		484.2.g.i.475.1		16
88.61	odd	10		704.2.u.c.127.3		16
88.83	even	10		704.2.u.c.127.2		16
132.83	odd	10		396.2.r.a.127.2		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
44.2.g.a.35.3	✓	16	1.1	even	1	trivial
44.2.g.a.35.4	yes	16	4.3	odd	2	inner
44.2.g.a.39.3	yes	16	44.39	even	10	inner
44.2.g.a.39.4	yes	16	11.6	odd	10	inner
396.2.r.a.127.1		16	33.17	even	10
396.2.r.a.127.2		16	132.83	odd	10
396.2.r.a.343.1		16	12.11	even	2
396.2.r.a.343.2		16	3.2	odd	2
484.2.c.d.483.1		16	11.4	even	5
484.2.c.d.483.2		16	44.7	even	10
484.2.c.d.483.15		16	44.15	odd	10
484.2.c.d.483.16		16	11.7	odd	10
484.2.g.f.239.1		16	11.2	odd	10
484.2.g.f.239.4		16	44.35	even	10
484.2.g.f.403.1		16	44.3	odd	10
484.2.g.f.403.4		16	11.3	even	5
484.2.g.i.215.1		16	11.5	even	5
484.2.g.i.215.2		16	44.27	odd	10
484.2.g.i.475.1		16	44.43	even	2
484.2.g.i.475.2		16	11.10	odd	2
484.2.g.j.239.1		16	44.31	odd	10
484.2.g.j.239.4		16	11.9	even	5
484.2.g.j.403.1		16	11.8	odd	10
484.2.g.j.403.4		16	44.19	even	10
704.2.u.c.127.2		16	88.83	even	10
704.2.u.c.127.3		16	88.61	odd	10
704.2.u.c.255.2		16	8.5	even	2
704.2.u.c.255.3		16	8.3	odd	2

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:	\( N \)	\(=\)	\( 44 = 2^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	44.g (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.656642 + 1.25253i) q^{2} +(0.539857 + 0.743049i) q^{3} +(-1.13764 - 1.64492i) q^{4} +(0.529876 + 1.63079i) q^{5} +(-1.28518 + 0.188268i) q^{6} +(-1.93399 - 1.40513i) q^{7} +(2.80733 - 0.344804i) q^{8} +(0.666375 - 2.05089i) q^{9} +(-2.39055 - 0.407162i) q^{10} +(2.65349 - 1.98973i) q^{11} +(0.608093 - 1.73335i) q^{12} +(-1.52988 - 0.497087i) q^{13} +(3.02990 - 1.49971i) q^{14} +(-0.925700 + 1.27412i) q^{15} +(-1.41153 + 3.74267i) q^{16} +(-5.74986 + 1.86824i) q^{17} +(2.13122 + 2.18135i) q^{18} +(-1.07237 + 0.779122i) q^{19} +(2.07971 - 2.72686i) q^{20} -2.19562i q^{21} +(0.749794 + 4.63010i) q^{22} +7.25726i q^{23} +(1.77176 + 1.89984i) q^{24} +(1.66637 - 1.21069i) q^{25} +(1.62719 - 1.58980i) q^{26} +(4.50418 - 1.46350i) q^{27} +(-0.111131 + 4.77980i) q^{28} +(-0.318958 + 0.439008i) q^{29} +(-0.988012 - 1.99610i) q^{30} +(-7.82777 - 2.54340i) q^{31} +(-3.76092 - 4.22558i) q^{32} +(2.91097 + 0.897503i) q^{33} +(1.43557 - 8.42861i) q^{34} +(1.26669 - 3.89848i) q^{35} +(-4.13165 + 1.23705i) q^{36} +(-0.299076 - 0.217291i) q^{37} +(-0.271708 - 1.85477i) q^{38} +(-0.456554 - 1.40513i) q^{39} +(2.04984 + 4.39547i) q^{40} +(2.99295 + 4.11944i) q^{41} +(2.75007 + 1.44173i) q^{42} +9.45922 q^{43} +(-6.29167 - 2.10118i) q^{44} +3.69767 q^{45} +(-9.08991 - 4.76542i) q^{46} +(-2.35548 - 3.24205i) q^{47} +(-3.54301 + 0.971666i) q^{48} +(-0.397175 - 1.22238i) q^{49} +(0.422212 + 2.88217i) q^{50} +(-4.49229 - 3.26384i) q^{51} +(0.922785 + 3.08203i) q^{52} +(-0.765944 + 2.35733i) q^{53} +(-1.12456 + 6.60259i) q^{54} +(4.65085 + 3.27297i) q^{55} +(-5.91385 - 3.27781i) q^{56} +(-1.15785 - 0.376209i) q^{57} +(-0.340428 - 0.687775i) q^{58} +(-4.14490 + 5.70497i) q^{59} +(3.14894 + 0.0732133i) q^{60} +(9.41156 - 3.05800i) q^{61} +(8.32571 - 8.13438i) q^{62} +(-4.17053 + 3.03007i) q^{63} +(7.76222 - 1.93596i) q^{64} -2.75830i q^{65} +(-3.03561 + 3.05672i) q^{66} +4.79085i q^{67} +(9.61440 + 7.33267i) q^{68} +(-5.39250 + 3.91788i) q^{69} +(4.05119 + 4.14647i) q^{70} +(3.34001 - 1.08524i) q^{71} +(1.16358 - 5.98730i) q^{72} +(-1.23553 + 1.70056i) q^{73} +(0.468549 - 0.231918i) q^{74} +(1.79921 + 0.584598i) q^{75} +(2.50157 + 0.877601i) q^{76} +(-7.92764 + 0.119627i) q^{77} +(2.05975 + 0.350820i) q^{78} +(0.797547 - 2.45460i) q^{79} +(-6.85145 - 0.318767i) q^{80} +(-1.71472 - 1.24581i) q^{81} +(-7.12500 + 1.04375i) q^{82} +(-1.22709 - 3.77660i) q^{83} +(-3.61162 + 2.49783i) q^{84} +(-6.09343 - 8.38688i) q^{85} +(-6.21132 + 11.8479i) q^{86} -0.498396 q^{87} +(6.76315 - 6.50075i) q^{88} -8.45225 q^{89} +(-2.42804 + 4.63143i) q^{90} +(2.26030 + 3.11103i) q^{91} +(11.9376 - 8.25618i) q^{92} +(-2.33600 - 7.18948i) q^{93} +(5.60746 - 0.821443i) q^{94} +(-1.83881 - 1.33597i) q^{95} +(1.10945 - 5.07575i) q^{96} +(-2.57295 + 7.91872i) q^{97} +(1.79186 + 0.305193i) q^{98} +(-2.31249 - 6.76791i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q - 5 q^{2} - q^{4} - 6 q^{5} - 5 q^{6} - 5 q^{8} - 10 q^{9} - 22 q^{12} - 10 q^{13} + 8 q^{14} + 23 q^{16} - 10 q^{17} + 20 q^{18} + 16 q^{20} + 17 q^{22} + 25 q^{24} + 6 q^{25} - 4 q^{26} + 20 q^{28}+ \cdots - 68 q^{97}+O(q^{100}) \) 16 * q - 5 * q^2 - q^4 - 6 * q^5 - 5 * q^6 - 5 * q^8 - 10 * q^9 - 22 * q^12 - 10 * q^13 + 8 * q^14 + 23 * q^16 - 10 * q^17 + 20 * q^18 + 16 * q^20 + 17 * q^22 + 25 * q^24 + 6 * q^25 - 4 * q^26 + 20 * q^28 - 10 * q^29 - 12 * q^33 - 6 * q^34 - 30 * q^36 + 18 * q^37 - 38 * q^38 - 40 * q^40 + 10 * q^41 - 26 * q^42 - 28 * q^44 + 40 * q^45 - 30 * q^46 - 36 * q^48 + 6 * q^49 - 15 * q^50 - 10 * q^52 + 38 * q^53 - 12 * q^56 + 30 * q^58 + 52 * q^60 - 10 * q^61 + 70 * q^62 + 23 * q^64 + 36 * q^66 + 60 * q^68 - 16 * q^69 + 12 * q^70 + 45 * q^72 - 30 * q^73 + 40 * q^74 + 2 * q^77 + 4 * q^78 - 28 * q^80 - 4 * q^81 - 59 * q^82 - 10 * q^84 - 50 * q^85 - 39 * q^86 - 53 * q^88 - 36 * q^89 - 50 * q^90 + 36 * q^92 - 38 * q^93 - 30 * q^94 - 68 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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