LMFDB - Embedded newform 320.2.bf.a.29.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [320,2,Mod(29,320)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(320, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([0, 11, 8]))

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

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

chi := DirichletCharacter("320.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 320 = 2^{6} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	320.bf (of order $16$, degree $8$, 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:	$2.55521286468$
Analytic rank:	$0$
Dimension:	$368$
Relative dimension:	$46$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			29.7
Character	$\chi$	$=$	320.29
Dual form			320.2.bf.a.309.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.26165 - 0.638935i) q^{2} +(-0.547765 + 2.75380i) q^{3} +(1.18353 + 1.61222i) q^{4} +(1.52882 - 1.63178i) q^{5} +(2.45059 - 3.12435i) q^{6} +(-1.54675 - 3.73418i) q^{7} +(-0.463089 - 2.79026i) q^{8} +(-4.51173 - 1.86882i) q^{9} +O(q^{10})$	\(q+(-1.26165 - 0.638935i) q^{2} +(-0.547765 + 2.75380i) q^{3} +(1.18353 + 1.61222i) q^{4} +(1.52882 - 1.63178i) q^{5} +(2.45059 - 3.12435i) q^{6} +(-1.54675 - 3.73418i) q^{7} +(-0.463089 - 2.79026i) q^{8} +(-4.51173 - 1.86882i) q^{9} +(-2.97144 + 1.08192i) q^{10} +(-0.758590 - 3.81369i) q^{11} +(-5.08804 + 2.37607i) q^{12} +(3.60761 - 2.41052i) q^{13} +(-0.434441 + 5.69950i) q^{14} +(3.65616 + 5.10390i) q^{15} +(-1.19854 + 3.81622i) q^{16} +(0.717979 - 0.717979i) q^{17} +(4.49818 + 5.24050i) q^{18} +(-0.923031 + 0.616749i) q^{19} +(4.44019 + 0.533548i) q^{20} +(11.1304 - 2.21398i) q^{21} +(-1.47962 + 5.29624i) q^{22} +(-0.736775 - 0.305182i) q^{23} +(7.93748 + 0.253151i) q^{24} +(-0.325417 - 4.98940i) q^{25} +(-6.09171 + 0.736216i) q^{26} +(2.93802 - 4.39706i) q^{27} +(4.18972 - 6.91320i) q^{28} +(1.33210 - 6.69693i) q^{29} +(-1.35175 - 8.77539i) q^{30} +11.0839i q^{31} +(3.95045 - 4.04895i) q^{32} +10.9177 q^{33} +(-1.36458 + 0.447097i) q^{34} +(-8.45807 - 3.18494i) q^{35} +(-2.32679 - 9.48572i) q^{36} +(-3.14871 + 4.71238i) q^{37} +(1.55860 - 0.188366i) q^{38} +(4.66198 + 11.2550i) q^{39} +(-5.26107 - 3.51015i) q^{40} +(0.823177 - 1.98733i) q^{41} +(-15.4573 - 4.31835i) q^{42} +(-1.07183 - 5.38845i) q^{43} +(5.25072 - 5.73662i) q^{44} +(-9.94714 + 4.50507i) q^{45} +(0.734561 + 0.855785i) q^{46} +(4.16994 - 4.16994i) q^{47} +(-9.85258 - 5.39092i) q^{48} +(-6.60193 + 6.60193i) q^{49} +(-2.77734 + 6.50280i) q^{50} +(1.58389 + 2.37045i) q^{51} +(8.15600 + 2.96335i) q^{52} +(5.81015 - 1.15571i) q^{53} +(-6.51619 + 3.67035i) q^{54} +(-7.38286 - 4.59260i) q^{55} +(-9.70305 + 6.04509i) q^{56} +(-1.19280 - 2.87968i) q^{57} +(-5.95955 + 7.59806i) q^{58} +(-2.63385 + 3.94183i) q^{59} +(-3.90147 + 11.9352i) q^{60} +(1.46586 + 0.291577i) q^{61} +(7.08191 - 13.9841i) q^{62} +19.7382i q^{63} +(-7.57110 + 2.58428i) q^{64} +(1.58193 - 9.57208i) q^{65} +(-13.7743 - 6.97568i) q^{66} +(1.62557 - 8.17231i) q^{67} +(2.00729 + 0.307797i) q^{68} +(1.24399 - 1.86176i) q^{69} +(8.63616 + 9.42243i) q^{70} +(10.2748 - 4.25594i) q^{71} +(-3.12516 + 13.4543i) q^{72} +(-5.97694 + 14.4296i) q^{73} +(6.98348 - 3.93356i) q^{74} +(13.9181 + 1.83689i) q^{75} +(-2.08677 - 0.758194i) q^{76} +(-13.0677 + 8.73154i) q^{77} +(1.30943 - 17.1786i) q^{78} +(6.04041 - 6.04041i) q^{79} +(4.39488 + 7.79006i) q^{80} +(0.139891 + 0.139891i) q^{81} +(-2.30833 + 1.98135i) q^{82} +(3.05184 + 4.56740i) q^{83} +(16.7426 + 15.3245i) q^{84} +(-0.0739234 - 2.26924i) q^{85} +(-2.09059 + 7.48317i) q^{86} +(17.7123 + 7.33669i) q^{87} +(-10.2899 + 3.88274i) q^{88} +(3.20395 + 7.73502i) q^{89} +(15.4283 + 0.671747i) q^{90} +(-14.5814 - 9.74298i) q^{91} +(-0.379970 - 1.54904i) q^{92} +(-30.5230 - 6.07140i) q^{93} +(-7.92532 + 2.59669i) q^{94} +(-0.404748 + 2.44908i) q^{95} +(8.98607 + 13.0966i) q^{96} +9.03058 q^{97} +(12.5475 - 4.11113i) q^{98} +(-3.70455 + 18.6240i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 368 q - 16 q^{4} - 8 q^{5} - 16 q^{6} - 16 q^{9}+O(q^{10}) $ 368 * q - 16 * q^4 - 8 * q^5 - 16 * q^6 - 16 * q^9	$ 368 q - 16 q^{4} - 8 q^{5} - 16 q^{6} - 16 q^{9} - 8 q^{10} - 16 q^{11} - 16 q^{14} - 8 q^{15} - 16 q^{16} - 16 q^{19} - 8 q^{20} - 16 q^{21} - 16 q^{24} - 8 q^{25} - 96 q^{26} - 16 q^{29} + 72 q^{30} - 16 q^{34} - 8 q^{35} - 176 q^{36} - 16 q^{39} + 32 q^{40} - 16 q^{41} - 16 q^{44} - 8 q^{45} - 16 q^{46} - 16 q^{49} + 16 q^{50} + 16 q^{51} + 48 q^{54} - 72 q^{55} - 112 q^{56} - 80 q^{59} + 88 q^{60} - 16 q^{61} + 80 q^{64} - 16 q^{65} - 144 q^{66} - 16 q^{69} + 88 q^{70} + 48 q^{71} + 80 q^{74} - 72 q^{75} - 80 q^{76} - 48 q^{79} + 16 q^{80} - 16 q^{81} - 128 q^{84} - 8 q^{85} - 16 q^{86} - 16 q^{89} - 8 q^{90} - 16 q^{91} - 192 q^{94} - 16 q^{96} - 64 q^{99}+O(q^{100}) $ 368 * q - 16 * q^4 - 8 * q^5 - 16 * q^6 - 16 * q^9 - 8 * q^10 - 16 * q^11 - 16 * q^14 - 8 * q^15 - 16 * q^16 - 16 * q^19 - 8 * q^20 - 16 * q^21 - 16 * q^24 - 8 * q^25 - 96 * q^26 - 16 * q^29 + 72 * q^30 - 16 * q^34 - 8 * q^35 - 176 * q^36 - 16 * q^39 + 32 * q^40 - 16 * q^41 - 16 * q^44 - 8 * q^45 - 16 * q^46 - 16 * q^49 + 16 * q^50 + 16 * q^51 + 48 * q^54 - 72 * q^55 - 112 * q^56 - 80 * q^59 + 88 * q^60 - 16 * q^61 + 80 * q^64 - 16 * q^65 - 144 * q^66 - 16 * q^69 + 88 * q^70 + 48 * q^71 + 80 * q^74 - 72 * q^75 - 80 * q^76 - 48 * q^79 + 16 * q^80 - 16 * q^81 - 128 * q^84 - 8 * q^85 - 16 * q^86 - 16 * q^89 - 8 * q^90 - 16 * q^91 - 192 * q^94 - 16 * q^96 - 64 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/320\mathbb{Z}\right)^\times$.

$n$	$191$	$257$	$261$
$\chi(n)$	$1$	$-1$	$e\left(\frac{11}{16}\right)$

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 $

$2$	−1.26165	−	0.638935i	−0.892122	−	0.451795i
$2$	−1.26165	−	0.638935i	−0.892122	−	0.451795i
$3$	−0.547765	+	2.75380i	−0.316252	+	1.58991i	0.416320	+	0.909218i	$0.363320\pi$
$3$	−0.547765	+	2.75380i	−0.316252	+	1.58991i	−0.732572	+	0.680689i	$0.761680\pi$
$4$	1.18353	+	1.61222i	0.591763	+	0.806112i
$5$	1.52882	−	1.63178i	0.683709	−	0.729755i
$5$	1.52882	−	1.63178i	0.683709	−	0.729755i
$6$	2.45059	−	3.12435i	1.00045	−	1.27551i
$7$	−1.54675	−	3.73418i	−0.584616	−	1.41139i	−0.888588	−	0.458707i	$-0.848313\pi$
$7$	−1.54675	−	3.73418i	−0.584616	−	1.41139i	0.303972	−	0.952681i	$-0.401687\pi$
$8$	−0.463089	−	2.79026i	−0.163727	−	0.986506i
$9$	−4.51173	−	1.86882i	−1.50391	−	0.622940i
$10$	−2.97144	+	1.08192i	−0.939651	+	0.342134i
$11$	−0.758590	−	3.81369i	−0.228724	−	1.14987i	−0.908962	−	0.416880i	$-0.863124\pi$
$11$	−0.758590	−	3.81369i	−0.228724	−	1.14987i	0.680238	−	0.732991i	$-0.261876\pi$
$12$	−5.08804	+	2.37607i	−1.46879	+	0.685913i
$13$	3.60761	−	2.41052i	1.00057	−	0.668559i	0.0565333	−	0.998401i	$-0.481995\pi$
$13$	3.60761	−	2.41052i	1.00057	−	0.668559i	0.944036	+	0.329841i	$0.106995\pi$
$14$	−0.434441	+	5.69950i	−0.116109	+	1.52326i
$15$	3.65616	+	5.10390i	0.944018	+	1.31782i
$16$	−1.19854	+	3.81622i	−0.299634	+	0.954054i
$17$	0.717979	−	0.717979i	0.174135	−	0.174135i	−0.614658	−	0.788794i	$-0.710706\pi$
$17$	0.717979	−	0.717979i	0.174135	−	0.174135i	0.788794	+	0.614658i	$0.210706\pi$
$18$	4.49818	+	5.24050i	1.06023	+	1.23520i
$19$	−0.923031	+	0.616749i	−0.211758	+	0.141492i	−0.656926	−	0.753955i	$-0.728144\pi$
$19$	−0.923031	+	0.616749i	−0.211758	+	0.141492i	0.445169	+	0.895447i	$0.353144\pi$
$20$	4.44019	+	0.533548i	0.992858	+	0.119305i
$21$	11.1304	−	2.21398i	2.42886	−	0.483131i
$22$	−1.47962	+	5.29624i	−0.315457	+	1.12916i
$23$	−0.736775	−	0.305182i	−0.153628	−	0.0636349i	0.304544	−	0.952498i	$-0.401496\pi$
$23$	−0.736775	−	0.305182i	−0.153628	−	0.0636349i	−0.458173	+	0.888863i	$0.651496\pi$
$24$	7.93748	+	0.253151i	1.62023	+	0.0516743i
$25$	−0.325417	−	4.98940i	−0.0650834	−	0.997880i
$26$	−6.09171	+	0.736216i	−1.19468	+	0.144384i
$27$	2.93802	−	4.39706i	0.565423	−	0.846215i
$28$	4.18972	−	6.91320i	0.791783	−	1.30647i
$29$	1.33210	−	6.69693i	0.247365	−	1.24359i	−0.634810	−	0.772668i	$-0.718922\pi$
$29$	1.33210	−	6.69693i	0.247365	−	1.24359i	0.882175	−	0.470921i	$-0.156078\pi$
$30$	−1.35175	−	8.77539i	−0.246794	−	1.60216i
$31$			11.0839i			1.99073i	0.0961450	+	0.995367i	$0.469349\pi$
$31$			11.0839i			1.99073i	−0.0961450	+	0.995367i	$0.530651\pi$
$32$	3.95045	−	4.04895i	0.698347	−	0.715759i
$33$	10.9177			1.90052
$34$	−1.36458	+	0.447097i	−0.234024	+	0.0766765i
$35$	−8.45807	−	3.18494i	−1.42967	−	0.538353i
$36$	−2.32679	−	9.48572i	−0.387798	−	1.58095i
$37$	−3.14871	+	4.71238i	−0.517645	+	0.774711i	−0.994552	−	0.104243i	$-0.966758\pi$
$37$	−3.14871	+	4.71238i	−0.517645	+	0.774711i	0.476907	+	0.878954i	$0.341758\pi$
$38$	1.55860	−	0.188366i	0.252839	−	0.0305570i
$39$	4.66198	+	11.2550i	0.746515	+	1.80225i
$40$	−5.26107	−	3.51015i	−0.831849	−	0.555003i
$41$	0.823177	−	1.98733i	0.128559	−	0.310368i	−0.846474	−	0.532430i	$-0.821279\pi$
$41$	0.823177	−	1.98733i	0.128559	−	0.310368i	0.975032	+	0.222062i	$0.0712788\pi$
$42$	−15.4573	−	4.31835i	−2.38512	−	0.666336i
$43$	−1.07183	−	5.38845i	−0.163452	−	0.821730i	−0.972304	−	0.233718i	$-0.924911\pi$
$43$	−1.07183	−	5.38845i	−0.163452	−	0.821730i	0.808852	−	0.588012i	$-0.200089\pi$
$44$	5.25072	−	5.73662i	0.791575	−	0.864828i
$45$	−9.94714	+	4.50507i	−1.48283	+	0.671576i
$46$	0.734561	+	0.855785i	0.108305	+	0.126179i
$47$	4.16994	−	4.16994i	0.608248	−	0.608248i	−0.334240	−	0.942488i	$-0.608480\pi$
$47$	4.16994	−	4.16994i	0.608248	−	0.608248i	0.942488	+	0.334240i	$0.108480\pi$
$48$	−9.85258	−	5.39092i	−1.42210	−	0.778112i
$49$	−6.60193	+	6.60193i	−0.943133	+	0.943133i
$50$	−2.77734	+	6.50280i	−0.392775	+	0.919635i
$51$	1.58389	+	2.37045i	0.221788	+	0.331930i
$52$	8.15600	+	2.96335i	1.13103	+	0.410943i
$53$	5.81015	−	1.15571i	0.798085	−	0.158749i	0.220829	−	0.975312i	$-0.429124\pi$
$53$	5.81015	−	1.15571i	0.798085	−	0.158749i	0.577256	+	0.816564i	$0.304124\pi$
$54$	−6.51619	+	3.67035i	−0.886742	+	0.499472i
$55$	−7.38286	−	4.59260i	−0.995504	−	0.619266i
$56$	−9.70305	+	6.04509i	−1.29662	+	0.807809i
$57$	−1.19280	−	2.87968i	−0.157990	−	0.381422i
$58$	−5.95955	+	7.59806i	−0.782527	+	0.997674i
$59$	−2.63385	+	3.94183i	−0.342897	+	0.513182i	−0.962336	−	0.271863i	$-0.912360\pi$
$59$	−2.63385	+	3.94183i	−0.342897	+	0.513182i	0.619439	+	0.785045i	$0.287360\pi$
$60$	−3.90147	+	11.9352i	−0.503677	+	1.54082i
$61$	1.46586	+	0.291577i	0.187684	+	0.0373326i	0.288037	−	0.957619i	$-0.406997\pi$
$61$	1.46586	+	0.291577i	0.187684	+	0.0373326i	−0.100353	+	0.994952i	$0.531997\pi$
$62$	7.08191	−	13.9841i	0.899404	−	1.77598i
$63$			19.7382i			2.48678i
$64$	−7.57110	+	2.58428i	−0.946387	+	0.323035i
$65$	1.58193	−	9.57208i	0.196215	−	1.18727i
$66$	−13.7743	−	6.97568i	−1.69550	−	0.858647i
$67$	1.62557	−	8.17231i	0.198595	−	0.998406i	−0.744939	−	0.667132i	$-0.767522\pi$
$67$	1.62557	−	8.17231i	0.198595	−	0.998406i	0.943535	−	0.331274i	$-0.107478\pi$
$68$	2.00729	+	0.307797i	0.243420	+	0.0373259i
$69$	1.24399	−	1.86176i	0.149759	−	0.224130i
$70$	8.63616	+	9.42243i	1.03222	+	1.12620i
$71$	10.2748	−	4.25594i	1.21939	−	0.505088i	0.322174	−	0.946681i	$-0.395586\pi$
$71$	10.2748	−	4.25594i	1.21939	−	0.505088i	0.897216	+	0.441593i	$0.145586\pi$
$72$	−3.12516	+	13.4543i	−0.368304	+	1.58561i
$73$	−5.97694	+	14.4296i	−0.699548	+	1.68886i	0.0250506	+	0.999686i	$0.492025\pi$
$73$	−5.97694	+	14.4296i	−0.699548	+	1.68886i	−0.724598	+	0.689171i	$0.757975\pi$
$74$	6.98348	−	3.93356i	0.811813	−	0.457267i
$75$	13.9181	+	1.83689i	1.60712	+	0.212105i
$76$	−2.08677	−	0.758194i	−0.239369	−	0.0869709i
$77$	−13.0677	+	8.73154i	−1.48920	+	0.995051i
$78$	1.30943	−	17.1786i	0.148264	−	1.94510i
$79$	6.04041	−	6.04041i	0.679600	−	0.679600i	−0.280310	−	0.959910i	$-0.590437\pi$
$79$	6.04041	−	6.04041i	0.679600	−	0.679600i	0.959910	+	0.280310i	$0.0904372\pi$
$80$	4.39488	+	7.79006i	0.491363	+	0.870955i
$81$	0.139891	+	0.139891i	0.0155435	+	0.0155435i
$82$	−2.30833	+	1.98135i	−0.254913	+	0.218804i
$83$	3.05184	+	4.56740i	0.334983	+	0.501337i	0.960276	−	0.279053i	$-0.0900205\pi$
$83$	3.05184	+	4.56740i	0.334983	+	0.501337i	−0.625293	+	0.780390i	$0.715020\pi$
$84$	16.7426	+	15.3245i	1.82677	+	1.67204i
$85$	−0.0739234	−	2.26924i	−0.00801812	−	0.246134i
$86$	−2.09059	+	7.48317i	−0.225434	+	0.806931i
$87$	17.7123	+	7.33669i	1.89896	+	0.786576i
$88$	−10.2899	+	3.88274i	−1.09691	+	0.413902i
$89$	3.20395	+	7.73502i	0.339618	+	0.819911i	0.997752	+	0.0670100i	$0.0213459\pi$
$89$	3.20395	+	7.73502i	0.339618	+	0.819911i	−0.658134	+	0.752901i	$0.728654\pi$
$90$	15.4283	+	0.671747i	1.62628	+	0.0708084i
$91$	−14.5814	−	9.74298i	−1.52855	−	1.02134i
$92$	−0.379970	−	1.54904i	−0.0396146	−	0.161498i
$93$	−30.5230	−	6.07140i	−3.16508	−	0.629574i
$94$	−7.92532	+	2.59669i	−0.817435	+	0.267828i
$95$	−0.404748	+	2.44908i	−0.0415263	+	0.251271i
$96$	8.98607	+	13.0966i	0.917137	+	1.33667i
$97$	9.03058			0.916917			0.458458	−	0.888716i	$-0.348402\pi$
$97$	9.03058			0.916917			0.458458	+	0.888716i	$0.348402\pi$
$98$	12.5475	−	4.11113i	1.26749	−	0.415287i
$99$	−3.70455	+	18.6240i	−0.372321	+	1.87179i
$100$	7.65889	−	6.42972i	0.765889	−	0.642972i
$101$	−10.0354	−	6.70546i	−0.998563	−	0.667219i	−0.0550259	−	0.998485i	$-0.517524\pi$
$101$	−10.0354	−	6.70546i	−0.998563	−	0.667219i	−0.943537	+	0.331266i	$0.892524\pi$
$102$	−0.483747	−	4.00268i	−0.0478981	−	0.396325i
$103$	−15.2513	+	6.31730i	−1.50276	+	0.622462i	−0.974048	−	0.226342i	$-0.927323\pi$
$103$	−15.2513	+	6.31730i	−1.50276	+	0.622462i	−0.528708	+	0.848804i	$0.677323\pi$
$104$	−8.39663	−	8.94987i	−0.823358	−	0.877607i
$105$	13.4037	−	21.5472i	1.30807	−	2.10279i
$106$	−8.06880	−	2.25420i	−0.783711	−	0.218947i
$107$	−0.349656	−	1.75784i	−0.0338025	−	0.169937i	0.960197	−	0.279325i	$-0.0901107\pi$
$107$	−0.349656	−	1.75784i	−0.0338025	−	0.169937i	−0.993999	+	0.109389i	$0.965111\pi$
$108$	10.5663	−	0.467280i	1.01674	−	0.0449641i
$109$	0.00988166	−	0.00660272i	0.000946492	−	0.000632426i	−0.555097	−	0.831786i	$-0.687319\pi$
$109$	0.00988166	−	0.00660272i	0.000946492	−	0.000632426i	0.556043	+	0.831153i	$0.312319\pi$
$110$	6.38022	+	10.5114i	0.608330	+	1.00222i
$111$	−11.2522	−	11.2522i	−1.06801	−	1.06801i
$112$	16.1043	−	1.42717i	1.52171	−	0.134855i
$113$	−2.20865	−	2.20865i	−0.207773	−	0.207773i	0.595548	−	0.803320i	$-0.296935\pi$
$113$	−2.20865	−	2.20865i	−0.207773	−	0.207773i	−0.803320	+	0.595548i	$0.796935\pi$
$114$	−0.335027	+	4.39527i	−0.0313781	+	0.411654i
$115$	−1.62439	+	0.735687i	−0.151475	+	0.0686031i
$116$	12.3735	−	5.77834i	1.14885	−	0.536505i
$117$	−20.7814	+	4.13368i	−1.92124	+	0.382158i
$118$	5.84156	−	3.29036i	0.537759	−	0.302902i
$119$	−3.79160	−	1.57053i	−0.347575	−	0.143970i
$120$	12.5481	−	12.5652i	1.14548	−	1.14704i
$121$	−3.80611	+	1.57654i	−0.346010	+	0.143322i
$122$	−1.66310	−	1.30445i	−0.150570	−	0.118100i
$123$	5.02179	+	3.35545i	0.452800	+	0.302551i
$124$	−17.8698	+	13.1181i	−1.60476	+	1.17804i
$125$	−8.63911	−	7.09689i	−0.772705	−	0.634765i
$126$	12.6114	−	24.9027i	1.12352	−	2.21851i
$127$			9.84298i			0.873423i	0.899602	+	0.436712i	$0.143857\pi$
$127$			9.84298i			0.873423i	−0.899602	+	0.436712i	$0.856143\pi$
$128$	11.2033	+	1.57698i	0.990238	+	0.139387i
$129$	15.4258			1.35817
$130$	−8.11178	+	11.0659i	−0.711450	+	0.970541i
$131$	1.33974	+	0.266491i	0.117054	+	0.0232835i	0.253270	−	0.967396i	$-0.418494\pi$
$131$	1.33974	+	0.266491i	0.117054	+	0.0232835i	−0.136216	+	0.990679i	$0.543494\pi$
$132$	12.9213	+	17.6017i	1.12466	+	1.53204i
$133$	3.73075	+	2.49281i	0.323497	+	0.216154i
$134$	−7.27247	+	9.27196i	−0.628246	+	0.800975i
$135$	−2.68333	−	11.5165i	−0.230944	−	0.991185i
$136$	−2.33584	−	1.67086i	−0.200296	−	0.143275i
$137$	−0.188600	+	0.455322i	−0.0161132	+	0.0389007i	−0.931731	−	0.363148i	$-0.881702\pi$
$137$	−0.188600	+	0.455322i	−0.0161132	+	0.0389007i	0.915618	+	0.402049i	$0.131702\pi$
$138$	−2.75903	+	1.55407i	−0.234864	+	0.132291i
$139$	−1.96775	−	9.89253i	−0.166902	−	0.839074i	−0.969977	−	0.243196i	$-0.921804\pi$
$139$	−1.96775	−	9.89253i	−0.166902	−	0.839074i	0.803075	−	0.595878i	$-0.203196\pi$
$140$	−4.87550	−	17.4058i	−0.412055	−	1.47105i
$141$	9.19903	+	13.7673i	0.774698	+	1.15942i
$142$	−15.6824	−	1.19538i	−1.31604	−	0.100314i
$143$	−11.9297	−	11.9297i	−0.997611	−	0.997611i
$144$	12.5393	−	14.9779i	1.04494	−	1.24816i
$145$	−8.89138	−	12.4121i	−0.738389	−	1.03077i
$146$	16.7604	−	14.3862i	1.38710	−	1.19061i
$147$	−14.5641	−	21.7967i	−1.20123	−	1.79776i
$148$	−11.3240	+	0.500790i	−0.930827	+	0.0411647i
$149$	8.09836	−	1.61086i	0.663444	−	0.131967i	0.148129	−	0.988968i	$-0.452675\pi$
$149$	8.09836	−	1.61086i	0.663444	−	0.131967i	0.515315	+	0.857001i	$0.327675\pi$
$150$	−16.3861	−	11.2102i	−1.33792	−	0.915312i
$151$	−0.704915	+	1.70182i	−0.0573652	+	0.138492i	−0.949963	−	0.312361i	$-0.898880\pi$
$151$	−0.704915	+	1.70182i	−0.0573652	+	0.138492i	0.892598	+	0.450853i	$0.148880\pi$
$152$	2.14834	+	2.28989i	0.174253	+	0.185734i
$153$	−4.58110	+	1.89755i	−0.370360	+	0.153408i
$154$	22.0657	−	2.66676i	1.77811	−	0.214894i
$155$	18.0866	+	16.9454i	1.45275	+	1.36108i
$156$	−12.6281	+	20.8368i	−1.01105	+	1.66828i
$157$	13.2717	+	2.63990i	1.05919	+	0.210687i	0.693801	−	0.720167i	$-0.255935\pi$
$157$	13.2717	+	2.63990i	1.05919	+	0.210687i	0.365392	+	0.930854i	$0.380935\pi$
$158$	−11.4803	+	3.76146i	−0.913325	+	0.299246i
$159$			16.6330i			1.31909i
$160$	−0.567468	−	12.6364i	−0.0448623	−	0.998993i
$161$			3.22329i			0.254031i
$162$	−0.0871124	−	0.265875i	−0.00684420	−	0.0208891i
$163$	6.70530	+	1.33377i	0.525200	+	0.104469i	0.450567	−	0.892742i	$-0.351222\pi$
$163$	6.70530	+	1.33377i	0.525200	+	0.104469i	0.0746323	+	0.997211i	$0.476222\pi$
$164$	4.17827	−	1.02490i	0.326268	−	0.0800315i
$165$	16.6912	−	17.8153i	1.29941	−	1.38692i
$166$	−0.932085	−	7.71239i	−0.0723438	−	0.598598i
$167$	2.70914	−	1.12216i	0.209639	−	0.0868355i	−0.275393	−	0.961332i	$-0.588808\pi$
$167$	2.70914	−	1.12216i	0.209639	−	0.0868355i	0.485032	+	0.874496i	$0.338808\pi$
$168$	−11.3320	−	30.0316i	−0.874281	−	2.31699i
$169$	2.22930	−	5.38201i	0.171485	−	0.414001i
$170$	−1.35663	+	2.91023i	−0.104049	+	0.223204i
$171$	5.31706	−	1.05763i	0.406606	−	0.0808789i
$172$	7.41885	−	8.10539i	0.565682	−	0.618030i
$173$	−0.651583	−	0.975163i	−0.0495389	−	0.0741402i	0.805873	−	0.592088i	$-0.201696\pi$
$173$	−0.651583	−	0.975163i	−0.0495389	−	0.0741402i	−0.855412	+	0.517948i	$0.826696\pi$
$174$	−17.6591	−	20.5734i	−1.33873	−	1.55966i
$175$	−18.1280	+	8.93251i	−1.37035	+	0.675234i
$176$	15.4631	+	1.67590i	1.16557	+	0.126326i
$177$	−9.41228	−	9.41228i	−0.707470	−	0.707470i
$178$	0.899906	−	11.8060i	0.0674508	−	0.884898i
$179$	−3.09266	−	4.62849i	−0.231156	−	0.345950i	0.697700	−	0.716390i	$-0.254207\pi$
$179$	−3.09266	−	4.62849i	−0.231156	−	0.345950i	−0.928856	+	0.370440i	$0.879207\pi$
$180$	−19.0359	−	10.7052i	−1.41885	−	0.797915i
$181$	3.01571	+	15.1610i	0.224156	+	1.12691i	0.914861	+	0.403770i	$0.132300\pi$
$181$	3.01571	+	15.1610i	0.224156	+	1.12691i	−0.690705	+	0.723137i	$0.742700\pi$
$182$	12.1715	+	21.6088i	0.902212	+	1.60175i
$183$	−1.60589	+	3.87696i	−0.118711	+	0.286593i
$184$	−0.510345	+	2.19712i	−0.0376231	+	0.161974i
$185$	2.87576	+	12.3424i	0.211430	+	0.907431i
$186$	34.6301	+	27.1622i	2.53920	+	1.99163i
$187$	−3.28280	−	2.19350i	−0.240062	−	0.160404i
$188$	11.6581	+	1.78765i	0.850255	+	0.130378i
$189$	−20.9638	−	4.16996i	−1.52489	−	0.303320i
$190$	2.07545	−	2.83128i	0.150569	−	0.205403i
$191$	−10.1425			−0.733883			−0.366942	−	0.930244i	$-0.619595\pi$
$191$	−10.1425			−0.733883			−0.366942	+	0.930244i	$0.619595\pi$
$192$	−2.96940	−	22.2649i	−0.214298	−	1.60683i
$193$			14.6399i			1.05380i	0.849927	+	0.526900i	$0.176646\pi$
$193$			14.6399i			1.05380i	−0.849927	+	0.526900i	$0.823354\pi$
$194$	−11.3934	−	5.76995i	−0.818001	−	0.414258i
$195$	25.4931	+	9.59958i	1.82560	+	0.687440i
$196$	−18.4573	−	2.83024i	−1.31838	−	0.202160i
$197$	1.35378	+	0.904565i	0.0964526	+	0.0644476i	0.602861	−	0.797846i	$-0.294027\pi$
$197$	1.35378	+	0.904565i	0.0964526	+	0.0644476i	−0.506409	+	0.862294i	$0.669027\pi$
$198$	16.5734	−	21.1301i	1.17782	−	1.50165i
$199$	22.3399	−	9.25349i	1.58363	−	0.655962i	0.594649	−	0.803985i	$-0.297291\pi$
$199$	22.3399	−	9.25349i	1.58363	−	0.655962i	0.988984	+	0.148023i	$0.0472908\pi$
$200$	−13.7710	+	3.21853i	−0.973758	+	0.227585i
$201$	21.6145	+	8.95301i	1.52457	+	0.631496i
$202$	8.37686	+	14.8719i	0.589394	+	1.04639i
$203$	−27.0680	+	5.38416i	−1.89980	+	0.377894i
$204$	−1.94713	+	5.35907i	−0.136327	+	0.375210i
$205$	−1.98439	−	4.38151i	−0.138596	−	0.306018i
$206$	23.2782	+	1.77436i	1.62187	+	0.123626i
$207$	2.75380	+	2.75380i	0.191402	+	0.191402i
$208$	4.87524	+	16.6565i	0.338037	+	1.15492i
$209$	3.05229	+	3.05229i	0.211132	+	0.211132i
$210$	−30.6781	+	18.6210i	−2.11699	+	1.28497i
$211$	12.9565	−	8.65724i	0.891961	−	0.595989i	−0.0229091	−	0.999738i	$-0.507293\pi$
$211$	12.9565	−	8.65724i	0.891961	−	0.595989i	0.914870	+	0.403748i	$0.132293\pi$
$212$	8.73972	+	7.99945i	0.600246	+	0.549404i
$213$	6.09187	+	30.6259i	0.417408	+	2.09845i
$214$	−0.682000	+	2.44119i	−0.0466206	+	0.166876i
$215$	−10.4314	−	6.48898i	−0.711415	−	0.442545i
$216$	−13.6295	−	6.16161i	−0.927371	−	0.419245i
$217$	41.3894	−	17.1441i	2.80970	−	1.16382i
$218$	−0.0166859	+	0.00201659i	−0.00113011	+	0.000136580i
$219$	−36.4623	−	24.3633i	−2.46389	−	1.64632i
$220$	−1.33350	−	17.3383i	−0.0899046	−	1.16895i
$221$	0.859478	−	4.32089i	0.0578148	−	0.290654i
$222$	7.00693	+	21.3858i	0.470274	+	1.43532i
$223$	17.8550			1.19566			0.597829	−	0.801624i	$-0.296030\pi$
$223$	17.8550			1.19566			0.597829	+	0.801624i	$0.296030\pi$
$224$	−21.2298	−	8.48899i	−1.41848	−	0.567194i
$225$	−7.85610	+	23.1190i	−0.523740	+	1.54127i
$226$	1.37536	+	4.19773i	0.0914878	+	0.279229i
$227$	3.01872	+	0.600460i	0.200359	+	0.0398540i	0.294250	−	0.955729i	$-0.404930\pi$
$227$	3.01872	+	0.600460i	0.200359	+	0.0398540i	−0.0938903	+	0.995583i	$0.529930\pi$
$228$	3.23097	−	5.33123i	0.213977	−	0.353069i
$229$	6.35986	+	4.24952i	0.420271	+	0.280816i	0.747671	−	0.664070i	$-0.231172\pi$
$229$	6.35986	+	4.24952i	0.420271	+	0.280816i	−0.327399	+	0.944886i	$0.606172\pi$
$230$	2.51947	+	0.109698i	0.166129	+	0.00723325i
$231$	−16.8869	−	40.7686i	−1.11108	−	2.68238i
$232$	−19.3031	−	0.615635i	−1.26731	−	0.0404184i
$233$	−14.3692	−	5.95192i	−0.941358	−	0.389923i	−0.141382	−	0.989955i	$-0.545155\pi$
$233$	−14.3692	−	5.95192i	−0.941358	−	0.389923i	−0.799976	+	0.600032i	$0.795155\pi$
$234$	28.8600	+	8.06270i	1.88664	+	0.527075i
$235$	−0.429339	−	13.1795i	−0.0280070	−	0.859737i
$236$	−9.47233	+	0.418902i	−0.616596	+	0.0272682i
$237$	13.3254	+	19.9428i	0.865576	+	1.29543i
$238$	3.78020	+	4.40404i	0.245034	+	0.285472i
$239$	15.1497	+	15.1497i	0.979953	+	0.979953i	0.999803	−	0.0198497i	$-0.00631876\pi$
$239$	15.1497	+	15.1497i	0.979953	+	0.979953i	−0.0198497	+	0.999803i	$0.506319\pi$
$240$	−23.8596	+	7.83551i	−1.54013	+	0.505780i
$241$	−3.41924	+	3.41924i	−0.220253	+	0.220253i	−0.808605	−	0.588352i	$-0.799777\pi$
$241$	−3.41924	+	3.41924i	−0.220253	+	0.220253i	0.588352	+	0.808605i	$0.299777\pi$
$242$	5.80929	+	0.442809i	0.373435	+	0.0284649i
$243$	12.7293	−	8.50546i	0.816587	−	0.545626i
$244$	1.26479	+	2.70838i	0.0809698	+	0.173386i
$245$	0.679738	+	20.8661i	0.0434268	+	1.33308i
$246$	−4.19183	−	7.44200i	−0.267261	−	0.474485i
$247$	−1.84324	+	4.44998i	−0.117283	+	0.283145i
$248$	30.9271	−	5.13285i	1.96387	−	0.325937i
$249$	−14.2494	+	5.90229i	−0.903019	+	0.374043i
$250$	6.36509	+	14.4736i	0.402564	+	0.915392i
$251$	−7.73227	+	11.5722i	−0.488057	+	0.730429i	−0.990996	−	0.133893i	$-0.957252\pi$
$251$	−7.73227	+	11.5722i	−0.488057	+	0.730429i	0.502939	+	0.864322i	$0.332252\pi$
$252$	−31.8225	+	23.3607i	−2.00463	+	1.47158i
$253$	−0.604960	+	3.04134i	−0.0380335	+	0.191208i
$254$	6.28902	−	12.4184i	0.394608	−	0.779200i
$255$	6.28954	+	1.03944i	0.393866	+	0.0650924i
$256$	−13.1270	−	9.14775i	−0.820439	−	0.571734i
$257$			21.6338i			1.34948i	0.738055	+	0.674741i	$0.235745\pi$
$257$			21.6338i			1.34948i	−0.738055	+	0.674741i	$0.764255\pi$
$258$	−19.4620	−	9.85609i	−1.21165	−	0.613613i
$259$	22.4672	+	4.46900i	1.39604	+	0.277690i
$260$	17.3046	−	8.77837i	1.07319	−	0.544411i
$261$	−18.5255	+	27.7253i	−1.14670	+	1.71615i
$262$	−1.52002	−	1.19223i	−0.0939069	−	0.0736560i
$263$	8.47104	+	20.4509i	0.522347	+	1.26106i	0.936442	+	0.350823i	$0.114098\pi$
$263$	8.47104	+	20.4509i	0.522347	+	1.26106i	−0.414095	+	0.910234i	$0.635902\pi$
$264$	−5.05586	−	30.4631i	−0.311167	−	1.87488i
$265$	6.99680	−	11.2478i	0.429810	−	0.690944i
$266$	−3.11416	−	5.52876i	−0.190942	−	0.338990i
$267$	−23.0557	+	4.58607i	−1.41099	+	0.280663i
$268$	15.0995	−	7.05134i	0.922349	−	0.430729i
$269$	−2.92342	−	4.37521i	−0.178244	−	0.266761i	0.731580	−	0.681756i	$-0.238783\pi$
$269$	−2.92342	−	4.37521i	−0.178244	−	0.266761i	−0.909824	+	0.414995i	$0.863783\pi$
$270$	−3.97288	+	16.2443i	−0.241782	+	0.988597i
$271$	−17.1264	+	17.1264i	−1.04036	+	1.04036i	−0.0412055	+	0.999151i	$0.513120\pi$
$271$	−17.1264	+	17.1264i	−1.04036	+	1.04036i	−0.999151	+	0.0412055i	$0.986880\pi$
$272$	1.87944	+	3.60049i	0.113958	+	0.218312i
$273$	34.8174	−	34.8174i	2.10724	−	2.10724i
$274$	0.528869	−	0.453954i	0.0319501	−	0.0274243i
$275$	−18.7812	+	5.02595i	−1.13255	+	0.303076i
$276$	4.47388	−	0.197852i	0.269296	−	0.0119093i
$277$	−3.76119	−	18.9088i	−0.225988	−	1.13612i	−0.912524	−	0.409023i	$-0.865870\pi$
$277$	−3.76119	−	18.9088i	−0.225988	−	1.13612i	0.686536	−	0.727096i	$-0.259130\pi$
$278$	−3.83807	+	13.7382i	−0.230192	+	0.823961i
$279$	20.7139	−	50.0078i	1.24011	−	2.99389i
$280$	−4.96996	+	25.0751i	−0.297012	+	1.49852i
$281$	−9.58248	−	23.1341i	−0.571643	−	1.38007i	−0.900156	−	0.435568i	$-0.856548\pi$
$281$	−9.58248	−	23.1341i	−0.571643	−	1.38007i	0.328513	−	0.944499i	$-0.393452\pi$
$282$	−2.80955	−	23.2471i	−0.167306	−	1.38435i
$283$	0.0627706	−	0.0939429i	0.00373133	−	0.00558432i	−0.829599	−	0.558359i	$-0.811431\pi$
$283$	0.0627706	−	0.0939429i	0.00373133	−	0.00558432i	0.833331	+	0.552775i	$0.186431\pi$
$284$	19.0220	+	11.5282i	1.12875	+	0.684073i
$285$	−6.52258	−	2.45612i	−0.386364	−	0.145488i
$286$	7.42881	+	22.6734i	0.439275	+	1.34071i
$287$	−8.69428			−0.513207
$288$	−25.3901	+	10.8851i	−1.49613	+	0.641410i
$289$			15.9690i			0.939354i
$290$	3.28729	+	21.3407i	0.193036	+	1.25317i
$291$	−4.94664	+	24.8684i	−0.289977	+	1.45781i
$292$	−30.3376	+	7.44163i	−1.77538	+	0.435489i
$293$	1.08635	−	1.62583i	0.0634651	−	0.0949822i	−0.798380	−	0.602154i	$-0.794309\pi$
$293$	1.08635	−	1.62583i	0.0634651	−	0.0949822i	0.861845	+	0.507172i	$0.169309\pi$
$294$	4.44813	+	36.8053i	0.259420	+	2.14653i
$295$	2.40552	+	10.3242i	0.140055	+	0.601098i
$296$	14.6069	+	6.60347i	0.849009	+	0.383819i
$297$	−18.9978	−	7.86914i	−1.10236	−	0.456614i
$298$	−11.2465	−	3.14198i	−0.651495	−	0.182010i
$299$	−3.39364	+	0.675038i	−0.196259	+	0.0390384i
$300$	13.5109	+	24.6130i	0.780052	+	1.42103i
$301$	−18.4636	+	12.3370i	−1.06422	+	0.711091i
$302$	1.97671	−	1.69670i	0.113747	−	0.0976342i
$303$	23.9626	−	23.9626i	1.37661	−	1.37661i
$304$	−1.24736	−	4.26168i	−0.0715412	−	0.244424i
$305$	2.71682	−	1.94619i	0.155565	−	0.111438i
$306$	6.99216	+	0.532974i	0.399715	+	0.0304681i
$307$	10.7252	−	7.16632i	0.612117	−	0.409003i	−0.210505	−	0.977593i	$-0.567511\pi$
$307$	10.7252	−	7.16632i	0.612117	−	0.409003i	0.822621	+	0.568589i	$0.192511\pi$
$308$	−29.5431	−	10.7340i	−1.68337	−	0.611628i
$309$	−9.04244	−	45.4594i	−0.514407	−	2.58610i
$310$	−11.9920	−	32.9353i	−0.681097	−	1.87060i
$311$	−9.11531	−	3.77569i	−0.516882	−	0.214100i	0.108965	−	0.994046i	$-0.465246\pi$
$311$	−9.11531	−	3.77569i	−0.516882	−	0.214100i	−0.625847	+	0.779946i	$0.715246\pi$
$312$	29.2455	−	18.2202i	1.65570	−	1.03152i
$313$	3.61147	+	8.71886i	0.204132	+	0.492819i	0.992479	−	0.122412i	$-0.0390629\pi$
$313$	3.61147	+	8.71886i	0.204132	+	0.492819i	−0.788347	+	0.615231i	$0.789063\pi$
$314$	−15.0575	−	11.8103i	−0.849742	−	0.666496i
$315$	32.2085	+	30.1762i	1.81474	+	1.70024i
$316$	16.8875	+	2.58952i	0.949995	+	0.145672i
$317$	−0.522453	+	2.62655i	−0.0293439	+	0.147522i	−0.992680	−	0.120777i	$-0.961461\pi$
$317$	−0.522453	+	2.62655i	−0.0293439	+	0.147522i	0.963336	+	0.268299i	$0.0864614\pi$
$318$	10.6274	−	20.9851i	0.595956	−	1.17679i
$319$	−26.5505			−1.48655
$320$	−7.35787	+	16.3053i	−0.411318	+	0.911492i
$321$	5.03227			0.280874
$322$	2.05947	−	4.06667i	0.114770	−	0.226627i
$323$	−0.219903	+	1.10553i	−0.0122358	+	0.0615133i
$324$	−0.0599712	+	0.391100i	−0.00333174	+	0.0217278i
$325$	−13.2010	−	17.2154i	−0.732262	−	0.954936i
$326$	−7.60756	−	5.96700i	−0.421344	−	0.330481i
$327$	0.0127697	+	0.0308289i	0.000706168	+	0.00170484i
$328$	−5.92636	−	1.37657i	−0.327228	−	0.0760083i
$329$	−22.0212	−	9.12146i	−1.21407	−	0.502882i
$330$	−32.4412	+	11.8121i	−1.78583	+	0.650233i
$331$	−3.77756	−	18.9911i	−0.207633	−	1.04384i	−0.934201	−	0.356748i	$-0.883885\pi$
$331$	−3.77756	−	18.9911i	−0.207633	−	1.04384i	0.726567	−	0.687095i	$-0.241115\pi$
$332$	−3.75175	+	10.3259i	−0.205904	+	0.566706i
$333$	23.0128	−	15.3766i	1.26109	−	0.842634i
$334$	−4.13497	−	0.315186i	−0.226256	−	0.0172462i
$335$	−10.8502	−	15.1466i	−0.592810	−	0.827545i
$336$	−4.89121	+	45.1297i	−0.266837	+	2.46203i
$337$	−15.1795	+	15.1795i	−0.826882	+	0.826882i	−0.987084	−	0.160202i	$-0.948785\pi$
$337$	−15.1795	+	15.1795i	−0.826882	+	0.826882i	0.160202	+	0.987084i	$0.448785\pi$
$338$	−6.25135	+	5.36584i	−0.340029	+	0.291863i
$339$	7.29201	−	4.87237i	0.396048	−	0.264631i
$340$	3.57104	−	2.80489i	0.193667	−	0.152116i
$341$	42.2707	−	8.40817i	2.28909	−	0.455328i
$342$	−7.38403	−	2.06290i	−0.399283	−	0.111549i
$343$	8.72507	+	3.61404i	0.471109	+	0.195140i
$344$	−14.5388	+	5.48601i	−0.783880	+	0.295786i
$345$	−1.13615	−	4.87622i	−0.0611684	−	0.262527i
$346$	0.199005	+	1.64663i	0.0106986	+	0.0885236i
$347$	−8.80538	+	13.1782i	−0.472698	+	0.707442i	−0.988827	−	0.149069i	$-0.952372\pi$
$347$	−8.80538	+	13.1782i	−0.472698	+	0.707442i	0.516129	+	0.856511i	$0.327372\pi$
$348$	9.13460	+	37.2394i	0.489666	+	1.99624i
$349$	−4.68559	+	23.5560i	−0.250814	+	1.26093i	0.625896	+	0.779906i	$0.284733\pi$
$349$	−4.68559	+	23.5560i	−0.250814	+	1.26093i	−0.876710	+	0.481019i	$0.840267\pi$
$350$	28.5785	+	0.312886i	1.52758	+	0.0167245i
$351$		−	22.9450i		−	1.22472i
$352$	−18.4382	−	11.9943i	−0.982760	−	0.639298i
$353$	−25.9932			−1.38348			−0.691739	−	0.722148i	$-0.743155\pi$
$353$	−25.9932			−1.38348			−0.691739	+	0.722148i	$0.743155\pi$
$354$	5.86118	+	17.8888i	0.311518	+	0.950781i
$355$	8.76349	−	23.2727i	0.465118	−	1.23519i
$356$	−8.67864	+	14.3201i	−0.459967	+	0.758963i
$357$	6.40183	−	9.58102i	0.338821	−	0.507081i
$358$	0.944553	+	7.81555i	0.0499212	+	0.413065i
$359$	13.0754	+	31.5668i	0.690094	+	1.66603i	0.744591	+	0.667521i	$0.232644\pi$
$359$	13.0754	+	31.5668i	0.690094	+	1.66603i	−0.0544972	+	0.998514i	$0.517356\pi$
$360$	17.1767	+	25.6688i	0.905293	+	1.35287i
$361$	−6.79938	+	16.4152i	−0.357862	+	0.863955i
$362$	5.88211	−	21.0547i	0.309157	−	1.10661i
$363$	−2.25663	−	11.3448i	−0.118442	−	0.595450i
$364$	−1.54958	−	35.0395i	−0.0812201	−	1.83657i
$365$	14.4083	+	31.8133i	0.754164	+	1.66519i
$366$	4.50319	−	3.86531i	0.235386	−	0.202043i
$367$	13.2900	−	13.2900i	0.693731	−	0.693731i	−0.269320	−	0.963051i	$-0.586799\pi$
$367$	13.2900	−	13.2900i	0.693731	−	0.693731i	0.963051	+	0.269320i	$0.0867989\pi$
$368$	2.04769	−	2.44592i	0.106743	−	0.127502i
$369$	−7.42791	+	7.42791i	−0.386682	+	0.386682i
$370$	4.25778	−	17.4092i	0.221352	−	0.905062i
$371$	−13.3025	−	19.9085i	−0.690630	−	1.03360i
$372$	−26.3362	−	56.3955i	−1.36547	−	2.92397i
$373$	−16.4095	+	3.26405i	−0.849652	+	0.169006i	−0.600665	−	0.799501i	$-0.705097\pi$
$373$	−16.4095	+	3.26405i	−0.849652	+	0.169006i	−0.248987	+	0.968507i	$0.580097\pi$
$374$	2.74025	+	4.86492i	0.141695	+	0.251559i
$375$	24.2756	−	19.9030i	1.25359	−	1.02778i
$376$	−13.5663	−	9.70416i	−0.699627	−	0.500454i
$377$	−11.3374	−	27.3709i	−0.583907	−	1.40968i
$378$	23.7847	+	18.6555i	1.22335	+	0.959537i
$379$	6.45788	−	9.66490i	0.331719	−	0.496453i	−0.627693	−	0.778461i	$-0.716001\pi$
$379$	6.45788	−	9.66490i	0.331719	−	0.496453i	0.959412	+	0.282008i	$0.0910006\pi$
$380$	−4.42750	+	2.24601i	−0.227126	+	0.115218i
$381$	−27.1056	−	5.39164i	−1.38866	−	0.276222i
$382$	12.7963	+	6.48038i	0.654713	+	0.331565i
$383$		−	34.3749i		−	1.75647i	−0.478226	−	0.878237i	$-0.658720\pi$
$383$		−	34.3749i		−	1.75647i	0.478226	−	0.878237i	$-0.341280\pi$
$384$	−10.4794	+	29.9877i	−0.534777	+	1.53031i
$385$	−5.73016	+	34.6725i	−0.292036	+	1.76708i
$386$	9.35392	−	18.4704i	0.476102	−	0.940119i
$387$	−5.23424	+	26.3143i	−0.266071	+	1.33763i
$388$	10.6879	+	14.5593i	0.542597	+	0.739138i
$389$	6.36595	−	9.52732i	0.322767	−	0.483054i	−0.634234	−	0.773141i	$-0.718684\pi$
$389$	6.36595	−	9.52732i	0.322767	−	0.483054i	0.957000	+	0.290087i	$0.0936843\pi$
$390$	−26.0299	−	28.3997i	−1.31807	−	1.43808i
$391$	−0.748103	+	0.309875i	−0.0378332	+	0.0156710i
$392$	21.4784	+	15.3638i	1.08482	+	0.775990i
$393$	−1.46773	+	3.54341i	−0.0740371	+	0.178741i
$394$	−1.13004	−	2.00622i	−0.0569304	−	0.101072i
$395$	−0.621924	−	19.0913i	−0.0312924	−	0.960590i
$396$	−34.4105	+	16.0694i	−1.72920	+	0.807520i
$397$	23.7605	−	15.8763i	1.19251	−	0.796808i	0.209042	−	0.977907i	$-0.432965\pi$
$397$	23.7605	−	15.8763i	1.19251	−	0.796808i	0.983465	+	0.181099i	$0.0579654\pi$
$398$	−34.0975	−	2.59906i	−1.70915	−	0.130279i
$399$	−8.90827	+	8.90827i	−0.445971	+	0.445971i
$400$	19.4307	+	4.73812i	0.971533	+	0.236906i
$401$	24.5275	+	24.5275i	1.22484	+	1.22484i	0.965889	+	0.258955i	$0.0833781\pi$
$401$	24.5275	+	24.5275i	1.22484	+	1.22484i	0.258955	+	0.965889i	$0.416622\pi$
$402$	−21.5495	−	25.1058i	−1.07479	−	1.25216i
$403$	26.7181	+	39.9865i	1.33092	+	1.99187i
$404$	−1.06648	−	24.1155i	−0.0530592	−	1.19979i
$405$	0.442140	−	0.0144032i	0.0219701	−	0.000715703i
$406$	37.5905	+	10.5017i	1.86558	+	0.521193i
$407$	20.3602	+	8.43345i	1.00922	+	0.418031i
$408$	5.88070	−	5.51719i	0.291138	−	0.273141i
$409$	1.24683	+	3.01012i	0.0616519	+	0.148841i	0.951703	−	0.307019i	$-0.0993317\pi$
$409$	1.24683	+	3.01012i	0.0616519	+	0.148841i	−0.890051	+	0.455860i	$0.849332\pi$
$410$	−0.295891	+	6.79583i	−0.0146130	+	0.335622i
$411$	−1.15056	−	0.768777i	−0.0567528	−	0.0379210i
$412$	−28.2352	−	17.1118i	−1.39105	−	0.843040i
$413$	18.7934	+	3.73824i	0.924763	+	0.183947i
$414$	−1.71484	−	5.23384i	−0.0842796	−	0.257229i
$415$	12.1187	+	2.00280i	0.594884	+	0.0983137i
$416$	4.49157	−	24.1297i	0.220217	−	1.18305i
$417$	28.3199			1.38683
$418$	−1.90071	−	5.80115i	−0.0929669	−	0.283743i
$419$	0.592819	−	2.98030i	0.0289611	−	0.145597i	−0.963599	−	0.267351i	$-0.913852\pi$
$419$	0.592819	−	2.98030i	0.0289611	−	0.145597i	0.992560	+	0.121754i	$0.0388518\pi$
$420$	50.6026	−	3.89189i	2.46915	−	0.189905i
$421$	19.6662	+	13.1406i	0.958474	+	0.640432i	0.933242	−	0.359250i	$-0.116967\pi$
$421$	19.6662	+	13.1406i	0.958474	+	0.640432i	0.0252328	+	0.999682i	$0.491967\pi$
$422$	−21.8780	+	2.64407i	−1.06500	+	0.128712i
$423$	−26.6065	+	11.0208i	−1.29365	+	0.535849i
$424$	−5.91535	−	15.6766i	−0.287275	−	0.761324i
$425$	−3.81592	−	3.34864i	−0.185100	−	0.162433i
$426$	11.8821	−	42.5315i	0.575691	−	2.06066i
$427$	−1.17851	−	5.92477i	−0.0570321	−	0.286720i
$428$	2.42020	−	2.64417i	0.116985	−	0.127811i
$429$	39.3867	−	26.3173i	1.90161	−	1.27061i
$430$	9.01475	+	14.8518i	0.434730	+	0.716218i
$431$	−12.7953	−	12.7953i	−0.616328	−	0.616328i	0.328260	−	0.944588i	$-0.393538\pi$
$431$	−12.7953	−	12.7953i	−0.616328	−	0.616328i	−0.944588	+	0.328260i	$0.893538\pi$
$432$	13.2588	+	16.4822i	0.637915	+	0.792999i
$433$	15.2669	+	15.2669i	0.733680	+	0.733680i	0.971347	−	0.237667i	$-0.0763826\pi$
$433$	15.2669	+	15.2669i	0.733680	+	0.733680i	−0.237667	+	0.971347i	$0.576383\pi$
$434$	−63.1730	−	4.81532i	−3.03240	−	0.231143i
$435$	39.0508	−	17.6862i	1.87234	−	0.847987i
$436$	0.0223403	+	0.00811698i	0.00106990	+	0.000388733i
$437$	0.868287	−	0.172713i	0.0415358	−	0.00826198i
$438$	30.4361	+	54.0350i	1.45429	+	2.58189i
$439$	23.6910	+	9.81314i	1.13071	+	0.468356i	0.868022	−	0.496525i	$-0.165391\pi$
$439$	23.6910	+	9.81314i	1.13071	+	0.468356i	0.262688	+	0.964881i	$0.415391\pi$
$440$	−9.39561	+	22.7269i	−0.447918	+	1.08346i
$441$	42.1240	−	17.4483i	2.00590	−	0.830873i
$442$	−3.84513	+	4.90230i	−0.182894	+	0.233179i
$443$	−17.8125	−	11.9019i	−0.846297	−	0.565477i	0.0550955	−	0.998481i	$-0.482454\pi$
$443$	−17.8125	−	11.9019i	−0.846297	−	0.565477i	−0.901392	+	0.433004i	$0.857454\pi$
$444$	4.82382	−	31.4584i	0.228928	−	1.49295i
$445$	17.5201	+	6.59731i	0.830534	+	0.312743i
$446$	−22.5267	−	11.4082i	−1.06667	−	0.540192i
$447$			23.1836i			1.09655i
$448$	21.3607	+	24.2746i	1.00920	+	1.14687i
$449$	−12.0966			−0.570874			−0.285437	−	0.958397i	$-0.592139\pi$
$449$	−12.0966			−0.570874			−0.285437	+	0.958397i	$0.592139\pi$
$450$	24.6832	−	24.1485i	1.16358	−	1.13837i
$451$	−8.20350	−	1.63178i	−0.386288	−	0.0768374i
$452$	0.946848	−	6.17484i	0.0445360	−	0.290440i
$453$	−4.30033	−	2.87339i	−0.202047	−	0.135004i
$454$	−3.42491	−	2.68634i	−0.160739	−	0.126076i
$455$	−38.1907	+	8.89838i	−1.79041	+	0.417162i
$456$	−7.48267	+	4.66177i	−0.350408	+	0.218307i
$457$	6.14895	−	14.8449i	0.287636	−	0.694415i	−0.712336	−	0.701838i	$-0.752363\pi$
$457$	6.14895	−	14.8449i	0.287636	−	0.694415i	0.999972	+	0.00742346i	$0.00236298\pi$
$458$	−5.30875	−	9.42495i	−0.248062	−	0.440399i
$459$	−1.04756	−	5.26643i	−0.0488959	−	0.245816i
$460$	−3.10860	−	1.74817i	−0.144939	−	0.0815090i
$461$	10.1470	+	15.1860i	0.472591	+	0.707283i	0.988811	−	0.149173i	$-0.0476612\pi$
$461$	10.1470	+	15.1860i	0.472591	+	0.707283i	−0.516220	+	0.856456i	$0.672661\pi$
$462$	−4.74309	+	62.2253i	−0.220668	+	2.89498i
$463$	−14.6026	−	14.6026i	−0.678642	−	0.678642i	0.281051	−	0.959693i	$-0.409317\pi$
$463$	−14.6026	−	14.6026i	−0.678642	−	0.678642i	−0.959693	+	0.281051i	$0.909317\pi$
$464$	23.9604	+	13.1101i	1.11233	+	0.608622i
$465$	−56.5713	+	40.5247i	−2.62343	+	1.87929i
$466$	14.3260	+	16.6902i	0.663640	+	0.773160i
$467$	−0.802370	−	1.20083i	−0.0371293	−	0.0555679i	0.812441	−	0.583044i	$-0.198138\pi$
$467$	−0.802370	−	1.20083i	−0.0371293	−	0.0555679i	−0.849570	+	0.527476i	$0.823138\pi$
$468$	−31.2597	−	28.6120i	−1.44498	−	1.32259i
$469$	−33.0312	+	6.57032i	−1.52524	+	0.303389i
$470$	−7.87917	+	16.9023i	−0.363439	+	0.779643i
$471$	−14.5395	+	35.1014i	−0.669944	+	1.61739i
$472$	12.2184	+	5.52369i	0.562399	+	0.254249i
$473$	−19.7368	+	8.17525i	−0.907499	+	0.375898i
$474$	−4.06980	−	33.6749i	−0.186932	−	1.54674i
$475$	3.37758	+	4.40467i	0.154974	+	0.202100i
$476$	−1.95540	−	7.97166i	−0.0896256	−	0.365381i
$477$	−28.3736	−	5.64387i	−1.29914	−	0.258415i
$478$	−9.43397	−	28.7933i	−0.431500	−	1.31698i
$479$			1.58596i			0.0724643i	0.999343	+	0.0362321i	$0.0115356\pi$
$479$			1.58596i			0.0724643i	−0.999343	+	0.0362321i	$0.988464\pi$
$480$	35.1089	+	5.35907i	1.60249	+	0.244607i
$481$			24.5905i			1.12123i
$482$	6.49856	−	2.12922i	0.296001	−	0.0969832i
$483$	−8.87631	−	1.76561i	−0.403886	−	0.0803379i
$484$	−7.04637	−	4.27043i	−0.320289	−	0.194110i
$485$	13.8061	−	14.7359i	0.626904	−	0.669124i
$486$	−21.4944	+	2.59772i	−0.975006	+	0.117835i
$487$	−7.10586	+	2.94334i	−0.321997	+	0.133376i	−0.537827	−	0.843055i	$-0.680755\pi$
$487$	−7.10586	+	2.94334i	−0.321997	+	0.133376i	0.215829	+	0.976431i	$0.430755\pi$
$488$	0.134753	−	4.22514i	0.00609999	−	0.191263i
$489$	−7.34586	+	17.7345i	−0.332191	+	0.801981i
$490$	12.4745	−	26.7600i	0.563539	−	1.20889i
$491$	5.21106	−	1.03654i	0.235172	−	0.0467786i	−0.0760973	−	0.997100i	$-0.524246\pi$
$491$	5.21106	−	1.03654i	0.235172	−	0.0467786i	0.311269	+	0.950322i	$0.399246\pi$
$492$	0.533671	+	12.0675i	0.0240597	+	0.544046i
$493$	−3.85183	−	5.76468i	−0.173478	−	0.259628i
$494$	5.16877	−	4.43661i	0.232554	−	0.199612i
$495$	24.7267	+	34.5178i	1.11138	+	1.55146i
$496$	−42.2987	−	13.2845i	−1.89927	−	0.596492i
$497$	−31.7849	−	31.7849i	−1.42575	−	1.42575i
$498$	21.7489	+	1.65780i	0.974594	+	0.0742878i
$499$	6.58996	+	9.86257i	0.295007	+	0.441509i	0.949133	−	0.314877i	$-0.101963\pi$
$499$	6.58996	+	9.86257i	0.295007	+	0.441509i	−0.654125	+	0.756386i	$0.726963\pi$
$500$	1.21717	−	22.3275i	0.0544336	−	0.998517i
$501$	1.60624	+	8.07511i	0.0717614	+	0.360769i
$502$	17.1493	−	9.65961i	0.765410	−	0.431130i
$503$	−1.76667	+	4.26512i	−0.0787720	+	0.190172i	−0.958359	−	0.285565i	$-0.907819\pi$
$503$	−1.76667	+	4.26512i	−0.0787720	+	0.190172i	0.879587	+	0.475737i	$0.157819\pi$
$504$	55.0748	−	9.14056i	2.45323	−	0.407153i
$505$	−26.2842	+	6.12418i	−1.16963	+	0.272522i
$506$	2.70647	−	3.45058i	0.120317	−	0.153397i
$507$	13.5998	+	9.08713i	0.603991	+	0.403574i
$508$	−15.8691	+	11.6494i	−0.704077	+	0.516859i
$509$	42.7049	+	8.49453i	1.89286	+	0.376513i	0.997613	−	0.0690557i	$-0.0219986\pi$
$509$	42.7049	+	8.49453i	1.89286	+	0.376513i	0.895248	+	0.445569i	$0.146999\pi$
$510$	−7.27107	−	5.33002i	−0.321968	−	0.236017i
$511$	63.1276			2.79260
$512$	10.7169	+	19.9286i	0.473625	+	0.880727i
$513$			5.87065i			0.259195i
$514$	13.8226	−	27.2943i	0.609689	−	1.20390i
$515$	−13.0081	+	34.5448i	−0.573204	+	1.52223i
$516$	18.2568	+	24.8699i	0.803713	+	1.09484i
$517$	−19.0661	−	12.7396i	−0.838528	−	0.560286i
$518$	−25.4903	−	19.9934i	−1.11998	−	0.878458i
$519$	3.04232	−	1.26017i	0.133543	−	0.0553153i
$520$	−27.4412	+	0.0187250i	−1.20337	+	0.000821144i
$521$	−12.8613	−	5.32733i	−0.563465	−	0.233395i	0.0827238	−	0.996573i	$-0.473638\pi$
$521$	−12.8613	−	5.32733i	−0.563465	−	0.233395i	−0.646189	+	0.763178i	$0.723638\pi$
$522$	41.0873	−	23.1431i	1.79834	−	1.01295i
$523$	16.7134	−	3.32450i	0.730826	−	0.145370i	0.184369	−	0.982857i	$-0.440976\pi$
$523$	16.7134	−	3.32450i	0.730826	−	0.145370i	0.546458	+	0.837487i	$0.315976\pi$
$524$	1.15597	+	2.47537i	0.0504990	+	0.108137i
$525$	−14.6685	−	54.8138i	−0.640185	−	2.39227i
$526$	2.37930	−	31.2144i	0.103742	−	1.36101i
$527$	7.95803	+	7.95803i	0.346657	+	0.346657i
$528$	−13.0852	+	41.6642i	−0.569462	+	1.81320i
$529$	−15.8138	−	15.8138i	−0.687555	−	0.687555i
$530$	−16.0141	+	9.72024i	−0.695608	+	0.422220i
$531$	19.2498	−	12.8623i	0.835369	−	0.558176i
$532$	0.396471	+	8.96511i	0.0171892	+	0.388687i
$533$	−1.82080	−	9.15377i	−0.0788675	−	0.396494i
$534$	32.0185	+	8.94508i	1.38557	+	0.387092i
$535$	−3.40297	−	2.11686i	−0.147123	−	0.0915197i
$536$	−23.5556	−	0.751263i	−1.01745	−	0.0324496i
$537$	14.4400	−	5.98124i	0.623132	−	0.258110i
$538$	0.892864	+	7.38786i	0.0384941	+	0.318513i
$539$	30.1859	+	20.1696i	1.30020	+	0.868765i
$540$	15.3914	−	17.9562i	0.662342	−	0.772713i
$541$	4.24661	−	21.3492i	0.182576	−	0.917873i	−0.775497	−	0.631351i	$-0.782501\pi$
$541$	4.24661	−	21.3492i	0.182576	−	0.917873i	0.958074	−	0.286522i	$-0.0924991\pi$
$542$	32.5502	−	10.6649i	1.39815	−	0.458097i
$543$	−43.4022			−1.86257
$544$	−0.0707198	−	5.74339i	−0.00303209	−	0.246246i
$545$	0.00433310	−	0.0262191i	0.000185610	−	0.00112310i
$546$	−66.1734	+	21.6814i	−2.83196	+	0.927876i
$547$	−42.4021	−	8.43431i	−1.81298	−	0.360625i	−0.832009	−	0.554762i	$-0.812809\pi$
$547$	−42.4021	−	8.43431i	−1.81298	−	0.360625i	−0.980974	+	0.194137i	$0.937809\pi$
$548$	−0.957294	+	0.234818i	−0.0408936	+	0.0100309i
$549$	−6.06864	−	4.05494i	−0.259003	−	0.173061i
$550$	26.9065	+	5.65895i	1.14730	+	0.241298i
$551$	2.90076	+	7.00305i	0.123576	+	0.298340i
$552$	−5.77088	−	2.60889i	−0.245625	−	0.111042i
$553$	−31.8990	−	13.2130i	−1.35648	−	0.561874i
$554$	−7.33616	+	26.2594i	−0.311684	+	1.11566i
$555$	−35.5637	+	1.15853i	−1.50960	+	0.0491769i
$556$	13.6201	−	14.8805i	0.577621	−	0.631074i
$557$	8.07253	+	12.0814i	0.342044	+	0.511905i	0.962116	−	0.272640i	$-0.0878967\pi$
$557$	8.07253	+	12.0814i	0.342044	+	0.511905i	−0.620072	+	0.784545i	$0.712897\pi$
$558$	−58.0854	+	49.8575i	−2.45895	+	2.11064i
$559$	−16.8557	−	16.8557i	−0.712921	−	0.712921i
$560$	22.2917	−	28.4605i	0.941997	−	1.20268i
$561$	7.83866	−	7.83866i	0.330948	−	0.330948i
$562$	−2.69147	+	35.3098i	−0.113533	+	1.48945i
$563$	19.1347	−	12.7854i	0.806433	−	0.538841i	−0.0826549	−	0.996578i	$-0.526340\pi$
$563$	19.1347	−	12.7854i	0.806433	−	0.538841i	0.889088	+	0.457737i	$0.151340\pi$
$564$	−11.3087	+	31.1249i	−0.476184	+	1.31059i
$565$	−6.98067	+	0.227404i	−0.293679	+	0.00956695i
$566$	−0.139218	+	0.0784168i	−0.00585177	+	0.00329610i
$567$	0.306002	−	0.738755i	0.0128509	−	0.0310248i
$568$	−16.6333	−	26.6984i	−0.697918	−	1.12024i
$569$	3.71745	−	1.53982i	0.155844	−	0.0645526i	−0.303398	−	0.952864i	$-0.598121\pi$
$569$	3.71745	−	1.53982i	0.155844	−	0.0645526i	0.459242	+	0.888311i	$0.348121\pi$
$570$	6.65992	+	7.26626i	0.278953	+	0.304350i
$571$	23.7982	−	35.6165i	0.995924	−	1.49051i	0.129262	−	0.991611i	$-0.458739\pi$
$571$	23.7982	−	35.6165i	0.995924	−	1.49051i	0.866662	−	0.498895i	$-0.166261\pi$
$572$	5.11425	−	33.3524i	0.213838	−	1.39454i
$573$	5.55569	−	27.9303i	0.232092	−	1.16681i
$574$	10.9691	+	5.55508i	0.457843	+	0.231864i
$575$	−1.28292	+	3.77538i	−0.0535013	+	0.157444i
$576$	38.9883	+	2.48945i	1.62451	+	0.103727i
$577$		−	25.6795i		−	1.06905i	−0.845152	−	0.534526i	$-0.820490\pi$
$577$		−	25.6795i		−	1.06905i	0.845152	−	0.534526i	$-0.179510\pi$
$578$	10.2032	−	20.1473i	0.424395	−	0.838018i
$579$	−40.3153	−	8.01921i	−1.67545	−	0.333267i
$580$	9.48793	−	29.0249i	0.393965	−	1.20519i
$581$	12.3351	−	18.4607i	0.511745	−	0.765881i
$582$	22.1302	−	28.2147i	0.917327	−	1.16954i
$583$	−8.81504	−	21.2814i	−0.365082	−	0.881385i
$584$	43.0302	+	9.99502i	1.78060	+	0.413597i
$585$	−25.0258	+	40.2303i	−1.03469	+	1.66332i
$586$	−2.40939	+	1.35713i	−0.0995310	+	0.0560625i
$587$	−25.1681	+	5.00624i	−1.03880	+	0.206630i	−0.684886	−	0.728650i	$-0.740148\pi$
$587$	−25.1681	+	5.00624i	−1.03880	+	0.206630i	−0.353910	+	0.935279i	$0.615148\pi$
$588$	17.9042	−	49.2775i	0.738358	−	2.03217i
$589$	−6.83601	−	10.2308i	−0.281673	−	0.421553i
$590$	3.56156	−	14.5625i	0.146627	−	0.599529i
$591$	−3.23254	+	3.23254i	−0.132969	+	0.132969i
$592$	−14.2096	−	17.6641i	−0.584012	−	0.725991i
$593$	−10.3847	+	10.3847i	−0.426450	+	0.426450i	−0.887417	−	0.460967i	$-0.847503\pi$
$593$	−10.3847	+	10.3847i	−0.426450	+	0.426450i	0.460967	+	0.887417i	$0.347503\pi$
$594$	18.9407	+	22.0665i	0.777147	+	0.905398i
$595$	−8.35943	+	3.78599i	−0.342703	+	0.155211i
$596$	12.1817	+	11.1499i	0.498981	+	0.456717i
$597$	13.2453	+	66.5884i	0.542092	+	2.72528i
$598$	4.71290	+	1.31665i	0.192725	+	0.0538420i
$599$	−11.4552	+	27.6552i	−0.468046	+	1.12996i	0.496969	+	0.867768i	$0.334446\pi$
$599$	−11.4552	+	27.6552i	−0.468046	+	1.12996i	−0.965015	+	0.262194i	$0.915554\pi$
$600$	−1.31992	−	39.6857i	−0.0538854	−	1.62016i
$601$	−14.9114	−	35.9993i	−0.608248	−	1.46844i	−0.864904	−	0.501938i	$-0.832621\pi$
$601$	−14.9114	−	35.9993i	−0.608248	−	1.46844i	0.256655	−	0.966503i	$-0.417379\pi$
$602$	31.1771	−	3.76793i	1.27068	−	0.153569i
$603$	−22.6067	+	33.8334i	−0.920617	+	1.37780i
$604$	−3.57799	+	0.877660i	−0.145587	+	0.0357115i
$605$	−3.24629	+	8.62098i	−0.131980	+	0.350493i
$606$	−45.5429	+	14.9219i	−1.85005	+	0.606160i
$607$	4.09199			0.166089			0.0830443	−	0.996546i	$-0.473536\pi$
$607$	4.09199			0.166089			0.0830443	+	0.996546i	$0.473536\pi$
$608$	−1.14920	+	6.17374i	−0.0466062	+	0.250378i
$609$		−	77.4891i		−	3.14002i
$610$	−4.67116	+	0.719538i	−0.189130	+	0.0291332i
$611$	4.99175	−	25.0952i	0.201945	−	1.01524i
$612$	−8.48113	−	5.13996i	−0.342830	−	0.207771i
$613$	3.83407	−	5.73810i	0.154857	−	0.231760i	−0.745927	−	0.666028i	$-0.767993\pi$
$613$	3.83407	−	5.73810i	0.154857	−	0.231760i	0.900783	+	0.434269i	$0.142993\pi$
$614$	−18.1102	+	2.18872i	−0.730868	+	0.0883295i
$615$	13.1528	−	3.06458i	0.530371	−	0.123576i
$616$	30.4147	+	32.4187i	1.22545	+	1.30619i
$617$	21.8436	+	9.04792i	0.879390	+	0.364255i	0.776260	−	0.630412i	$-0.217114\pi$
$617$	21.8436	+	9.04792i	0.879390	+	0.364255i	0.103130	+	0.994668i	$0.467114\pi$
$618$	−17.6372	+	63.1315i	−0.709472	+	2.53952i
$619$	3.95731	−	0.787157i	0.159058	−	0.0316385i	−0.114919	−	0.993375i	$-0.536661\pi$
$619$	3.95731	−	0.787157i	0.159058	−	0.0316385i	0.273977	+	0.961736i	$0.411661\pi$
$620$	−5.91382	+	49.2149i	−0.237505	+	1.97652i
$621$	−3.50657	+	2.34301i	−0.140714	+	0.0940219i
$622$	9.08793	+	10.5877i	0.364393	+	0.424528i
$623$	23.9283	−	23.9283i	0.958666	−	0.958666i
$624$	−48.5392	+	4.30158i	−1.94312	+	0.172201i
$625$	−24.7882	+	3.24727i	−0.991528	+	0.129891i
$626$	1.01437	−	13.3076i	0.0405423	−	0.531880i
$627$	−10.0773	+	6.73347i	−0.402451	+	0.268909i
$628$	11.4512	+	24.5213i	0.456954	+	0.978505i
$629$	1.12268	+	5.64410i	0.0447642	+	0.225045i
$630$	−21.3552	−	58.6509i	−0.850812	−	2.33671i
$631$	21.4370	+	8.87948i	0.853392	+	0.353487i	0.766120	−	0.642698i	$-0.222185\pi$
$631$	21.4370	+	8.87948i	0.853392	+	0.353487i	0.0872724	+	0.996184i	$0.472185\pi$
$632$	−19.6516	−	14.0571i	−0.781698	−	0.559160i
$633$	16.7432	+	40.4217i	0.665483	+	1.60662i
$634$	2.33735	−	2.97997i	0.0928279	−	0.118350i
$635$	16.0616	+	15.0482i	0.637385	+	0.597168i
$636$	−26.8162	+	19.6856i	−1.06333	+	0.780586i
$637$	−7.90304	+	39.7313i	−0.313130	+	1.57421i
$638$	33.4975	+	16.9641i	1.32618	+	0.671614i
$639$	−54.3106			−2.14849
$640$	19.7011	−	15.8704i	0.778753	−	0.627331i
$641$	−48.7143			−1.92410			−0.962050	−	0.272875i	$-0.912025\pi$
$641$	−48.7143			−1.92410			−0.962050	+	0.272875i	$0.912025\pi$
$642$	−6.34896	−	3.21529i	−0.250574	−	0.126897i
$643$	4.43100	−	22.2761i	0.174742	−	0.878485i	−0.789559	−	0.613675i	$-0.789691\pi$
$643$	4.43100	−	22.2761i	0.174742	−	0.878485i	0.964301	−	0.264810i	$-0.0853093\pi$
$644$	−5.19667	+	3.81485i	−0.204778	+	0.150326i
$645$	23.5833	−	25.1716i	0.928592	−	0.991129i
$646$	0.983802	−	1.25429i	0.0387072	−	0.0493493i
$647$	−10.5814	−	25.5458i	−0.415998	−	1.00431i	−0.983495	−	0.180934i	$-0.942088\pi$
$647$	−10.5814	−	25.5458i	−0.415998	−	1.00431i	0.567497	−	0.823376i	$-0.307912\pi$
$648$	0.325550	−	0.455115i	0.0127888	−	0.0178786i
$649$	17.0309	+	7.05444i	0.668522	+	0.276911i
$650$	5.65562	+	30.1544i	0.221832	+	1.18275i
$651$	24.5397	+	123.369i	0.961785	+	4.83522i
$652$	5.78556	+	12.3890i	0.226580	+	0.485191i
$653$	26.8789	−	17.9599i	1.05185	−	0.702825i	0.0956155	−	0.995418i	$-0.469518\pi$
$653$	26.8789	−	17.9599i	1.05185	−	0.702825i	0.956237	+	0.292593i	$0.0945181\pi$
$654$	0.00358669	−	0.0470543i	0.000140250	−	0.00183997i
$655$	2.48308	−	1.77875i	0.0970220	−	0.0695015i
$656$	6.59746	+	5.52330i	0.257587	+	0.215649i
$657$	53.9327	−	53.9327i	2.10412	−	2.10412i
$658$	21.9550	+	25.5782i	0.855894	+	0.997141i
$659$	−30.4909	+	20.3733i	−1.18776	+	0.793633i	−0.982716	−	0.185121i	$-0.940732\pi$
$659$	−30.4909	+	20.3733i	−1.18776	+	0.793633i	−0.205040	+	0.978754i	$0.565732\pi$
$660$	48.4766	+	5.82511i	1.88695	+	0.226742i
$661$	6.44608	−	1.28221i	0.250723	−	0.0498720i	−0.0681284	−	0.997677i	$-0.521703\pi$
$661$	6.44608	−	1.28221i	0.250723	−	0.0498720i	0.318852	+	0.947805i	$0.396703\pi$
$662$	−7.36809	+	26.3737i	−0.286369	+	1.02504i
$663$	11.4281	+	4.73366i	0.443830	+	0.183840i
$664$	11.3310	−	10.6305i	0.439726	−	0.412545i
$665$	9.77136	−	2.27671i	0.378917	−	0.0882871i
$666$	−38.8587	+	4.69629i	−1.50574	+	0.181978i
$667$	−3.02524	+	4.52760i	−0.117138	+	0.175309i
$668$	5.01551	+	3.03963i	0.194056	+	0.117607i
$669$	−9.78033	+	49.1690i	−0.378129	+	1.90098i
$670$	4.01150	+	26.0422i	0.154978	+	1.00610i
$671$		−	5.81151i		−	0.224351i
$672$	35.0059	−	53.8128i	1.35038	−	2.07587i
$673$	−6.09271			−0.234857			−0.117428	−	0.993081i	$-0.537465\pi$
$673$	−6.09271			−0.234857			−0.117428	+	0.993081i	$0.537465\pi$
$674$	28.8500	−	9.45254i	1.11126	−	0.364098i
$675$	−22.8948	−	13.2281i	−0.881220	−	0.509149i
$676$	11.3154	−	2.77561i	0.435209	−	0.106754i
$677$	4.55761	−	6.82094i	0.175163	−	0.262150i	−0.733492	−	0.679699i	$-0.762111\pi$
$677$	4.55761	−	6.82094i	0.175163	−	0.262150i	0.908655	+	0.417548i	$0.137111\pi$
$678$	−12.3131	+	1.48811i	−0.472882	+	0.0571504i
$679$	−13.9680	−	33.7218i	−0.536044	−	1.29412i
$680$	−6.29755	+	1.25713i	−0.241500	+	0.0482087i
$681$	−3.30710	+	7.98404i	−0.126728	+	0.305949i
$682$	−58.7032	−	16.4001i	−2.24786	−	0.627991i
$683$	2.69901	+	13.5688i	0.103275	+	0.519197i	0.997443	+	0.0714661i	$0.0227678\pi$
$683$	2.69901	+	13.5688i	0.103275	+	0.519197i	−0.894168	+	0.447731i	$0.852232\pi$
$684$	7.99801	+	7.32057i	0.305812	+	0.279909i
$685$	0.454649	+	1.00386i	0.0173712	+	0.0383555i
$686$	−8.69885	−	10.1344i	−0.332124	−	0.386933i
$687$	−15.1860	+	15.1860i	−0.579384	+	0.579384i
$688$	21.8481	+	2.36792i	0.832951	+	0.0902761i
$689$	18.1748	−	18.1748i	0.692406	−	0.692406i
$690$	−1.68216	+	6.87802i	−0.0640388	+	0.261842i
$691$	11.1579	+	16.6990i	0.424467	+	0.635259i	0.980643	−	0.195805i	$-0.0627320\pi$
$691$	11.1579	+	16.6990i	0.424467	+	0.635259i	−0.556176	+	0.831064i	$0.687732\pi$
$692$	0.801017	−	2.20463i	0.0304501	−	0.0838074i
$693$	75.2755	−	14.9732i	2.85948	−	0.568786i
$694$	19.5293	−	11.0002i	0.741323	−	0.417562i
$695$	−19.1508	−	11.9130i	−0.726430	−	0.451885i
$696$	12.2689	−	52.8196i	0.465051	−	2.00212i
$697$	−0.835833	−	2.01788i	−0.0316595	−	0.0764327i
$698$	20.9623	−	26.7257i	0.793436	−	1.01158i
$699$	24.2613	−	36.3097i	0.917648	−	1.37336i
$700$	−35.8561	−	18.6545i	−1.35523	−	0.705075i
$701$	−2.20774	−	0.439147i	−0.0833853	−	0.0165864i	0.153221	−	0.988192i	$-0.451035\pi$
$701$	−2.20774	−	0.439147i	−0.0833853	−	0.0165864i	−0.236607	+	0.971606i	$0.576035\pi$
$702$	−14.6604	+	28.9486i	−0.553320	+	1.09260i
$703$		−	6.29164i		−	0.237294i
$704$	15.5990	+	26.9134i	0.587909	+	1.01434i
$705$	36.5289	+	6.03696i	1.37576	+	0.227365i
$706$	32.7943	+	16.6079i	1.23423	+	0.625048i
$707$	−9.51712	+	47.8458i	−0.357928	+	1.79943i
$708$	4.03504	−	26.3144i	0.151646	−	0.988955i
$709$	2.07312	−	3.10264i	0.0778575	−	0.116522i	−0.790497	−	0.612466i	$-0.790178\pi$
$709$	2.07312	−	3.10264i	0.0778575	−	0.116522i	0.868355	+	0.495944i	$0.165178\pi$
$710$	−25.9262	+	23.7628i	−0.972993	+	0.891800i
$711$	−38.5412	+	15.9643i	−1.44541	+	0.598707i
$712$	20.0990	−	12.5219i	0.753242	−	0.469277i
$713$	3.38262	−	8.16637i	0.126680	−	0.305833i
$714$	−14.1985	+	7.99754i	−0.531366	+	0.299301i
$715$	−37.7050	+	1.22829i	−1.41009	+	0.0459353i
$716$	3.80193	−	10.4640i	0.142085	−	0.391058i
$717$	−50.0178	+	33.4208i	−1.86795	+	1.24812i
$718$	3.67254	−	48.1807i	0.137058	−	1.79809i
$719$	−10.7615	+	10.7615i	−0.401334	+	0.401334i	−0.878703	−	0.477369i	$-0.841591\pi$
$719$	−10.7615	+	10.7615i	−0.401334	+	0.401334i	0.477369	+	0.878703i	$0.341591\pi$
$720$	−5.27031	−	43.3599i	−0.196413	−	1.61593i
$721$	47.1799	+	47.1799i	1.75707	+	1.75707i
$722$	19.0667	−	16.3658i	0.709587	−	0.609073i
$723$	−7.54297	−	11.2889i	−0.280526	−	0.419837i
$724$	−20.8737	+	22.8054i	−0.775766	+	0.847556i
$725$	−33.8472	−	4.46710i	−1.25705	−	0.165904i
$726$	−4.40153	+	15.7551i	−0.163356	+	0.584725i
$727$	7.00105	+	2.89993i	0.259654	+	0.107552i	0.508713	−	0.860936i	$-0.330121\pi$
$727$	7.00105	+	2.89993i	0.259654	+	0.107552i	−0.249059	+	0.968488i	$0.580121\pi$
$728$	−20.4329	+	45.1977i	−0.757295	+	1.67514i
$729$	16.6768	+	40.2613i	0.617659	+	1.49116i
$730$	2.14841	−	49.3433i	0.0795162	−	1.82628i
$731$	−4.63834	−	3.09924i	−0.171555	−	0.114630i
$732$	−8.15114	+	1.99942i	−0.301275	+	0.0739008i
$733$	−20.3467	−	4.04721i	−0.751522	−	0.149487i	−0.195556	−	0.980692i	$-0.562651\pi$
$733$	−20.3467	−	4.04721i	−0.751522	−	0.149487i	−0.555965	+	0.831205i	$0.687651\pi$
$734$	−25.2587	+	8.27588i	−0.932317	+	0.305468i
$735$	−57.8333	−	9.55784i	−2.13321	−	0.352546i
$736$	−4.14626	+	1.77756i	−0.152833	+	0.0655216i
$737$	−32.3998			−1.19346
$738$	14.1174	−	4.62548i	0.519668	−	0.170266i
$739$	−8.41136	+	42.2868i	−0.309417	+	1.55554i	0.442795	+	0.896623i	$0.353987\pi$
$739$	−8.41136	+	42.2868i	−0.309417	+	1.55554i	−0.752212	+	0.658921i	$0.771013\pi$
$740$	−16.4952	+	19.2439i	−0.606375	+	0.707420i
$741$	−11.2447	−	7.51346i	−0.413084	−	0.276014i
$742$	4.06281	+	33.6170i	0.149150	+	1.23412i
$743$	−7.84160	+	3.24810i	−0.287681	+	0.119161i	−0.521857	−	0.853033i	$-0.674761\pi$
$743$	−7.84160	+	3.24810i	−0.287681	+	0.119161i	0.234177	+	0.972194i	$0.424761\pi$
$744$	−2.80591	+	87.9786i	−0.102870	+	3.22545i
$745$	9.75236	−	15.6775i	0.357299	−	0.574378i
$746$	22.7886	+	6.36650i	0.834349	+	0.233094i
$747$	−5.23343	−	26.3102i	−0.191481	−	0.962641i
$748$	−0.348867	−	7.88867i	−0.0127558	−	0.288438i
$749$	−6.02326	+	4.02461i	−0.220085	+	0.147056i
$750$	−43.3440	+	9.60006i	−1.58270	+	0.350544i
$751$	−4.69239	−	4.69239i	−0.171228	−	0.171228i	0.616291	−	0.787519i	$-0.288635\pi$
$751$	−4.69239	−	4.69239i	−0.171228	−	0.171228i	−0.787519	+	0.616291i	$0.788635\pi$
$752$	10.9156	+	20.9112i	0.398050	+	0.762553i
$753$	−27.6320	−	27.6320i	−1.00696	−	1.00696i
$754$	−3.18438	+	41.7764i	−0.115968	+	1.52141i
$755$	1.69930	+	3.75204i	0.0618439	+	0.136551i
$756$	−18.0883	−	38.7336i	−0.657864	−	1.40873i
$757$	21.4717	−	4.27099i	0.780403	−	0.155232i	0.211216	−	0.977440i	$-0.432258\pi$
$757$	21.4717	−	4.27099i	0.780403	−	0.155232i	0.569188	+	0.822208i	$0.307258\pi$
$758$	−14.3228	+	8.06757i	−0.520229	+	0.293027i
$759$	−8.04387	−	3.33188i	−0.291974	−	0.120940i
$760$	7.02101	−	0.00479091i	0.254679	−	0.000173785i
$761$	24.0270	−	9.95230i	0.870978	−	0.360771i	0.0979866	−	0.995188i	$-0.468760\pi$
$761$	24.0270	−	9.95230i	0.870978	−	0.360771i	0.772991	+	0.634417i	$0.218760\pi$
$762$	30.7529	+	24.1211i	1.11406	+	0.873815i
$763$	−0.0399402	−	0.0266872i	−0.00144593	−	0.000966141i
$764$	−12.0039	−	16.3519i	−0.434285	−	0.591592i
$765$	−3.90729	+	10.3764i	−0.141268	+	0.375159i
$766$	−21.9633	+	43.3691i	−0.793566	+	1.56699i
$767$			20.5695i			0.742722i
$768$	32.3816	−	31.1384i	1.16847	−	1.12361i
$769$	41.0123			1.47894			0.739471	−	0.673188i	$-0.235076\pi$
$769$	41.0123			1.47894			0.739471	+	0.673188i	$0.235076\pi$
$770$	29.3829	−	40.0834i	1.05889	−	1.44451i
$771$	−59.5753	−	11.8503i	−2.14555	−	0.426777i
$772$	−23.6028	+	17.3267i	−0.849482	+	0.623600i
$773$	−5.02063	−	3.35468i	−0.180579	−	0.120659i	0.461995	−	0.886882i	$-0.347134\pi$
$773$	−5.02063	−	3.35468i	−0.180579	−	0.120659i	−0.642575	+	0.766223i	$0.722134\pi$
$774$	23.4169	−	29.8551i	0.841703	−	1.07312i
$775$	55.3022	−	3.60690i	1.98651	−	0.129564i
$776$	−4.18196	−	25.1977i	−0.150124	−	0.904543i
$777$	−24.6134	+	59.4221i	−0.883002	+	2.13176i
$778$	−14.1189	+	7.95272i	−0.506189	+	0.285119i
$779$	0.465864	+	2.34206i	0.0166913	+	0.0839129i
$780$	14.6950	+	52.4619i	0.526166	+	1.87844i
$781$	−24.0252	−	35.9562i	−0.859689	−	1.28662i
$782$	1.14183	+	0.0870357i	0.0408319	+	0.00311239i
$783$	−25.5331	−	25.5331i	−0.912477	−	0.912477i
$784$	−17.2817	−	33.1071i	−0.617205	−	1.18239i
$785$	24.5977	−	17.6205i	0.877930	−	0.628903i
$786$	4.11577	−	3.53276i	0.146805	−	0.126009i
$787$	−4.44841	−	6.65752i	−0.158569	−	0.237315i	0.743675	−	0.668541i	$-0.233081\pi$
$787$	−4.44841	−	6.65752i	−0.158569	−	0.237315i	−0.902244	+	0.431226i	$0.858081\pi$
$788$	0.143867	+	3.25317i	0.00512506	+	0.115889i
$789$	−60.9579	+	12.1253i	−2.17016	+	0.431671i
$790$	−11.4135	+	24.4840i	−0.406073	+	0.871101i
$791$	−4.83128	+	11.6637i	−0.171780	+	0.414715i
$792$	53.6814	+	1.71207i	1.90749	+	0.0608357i
$793$	5.99108	−	2.48159i	0.212750	−	0.0881237i
$794$	−40.1214	+	4.84889i	−1.42386	+	0.172081i
$795$	27.1415	+	25.4289i	0.962609	+	0.901871i
$796$	41.3585	+	25.0652i	1.46591	+	0.888412i
$797$	−4.68591	−	0.932086i	−0.165983	−	0.0330162i	0.111399	−	0.993776i	$-0.464467\pi$
$797$	−4.68591	−	0.932086i	−0.165983	−	0.0330162i	−0.277382	+	0.960760i	$0.589467\pi$
$798$	16.9309	−	5.54732i	0.599348	−	0.196373i
$799$		−	5.98785i		−	0.211835i
$800$	−21.4874	−	18.3928i	−0.759693	−	0.650282i
$801$		−	40.8860i		−	1.44463i
$802$	−15.2737	−	46.6166i	−0.539332	−	1.64609i
$803$	59.5641	+	11.8480i	2.10197	+	0.418108i
$804$	11.1470	+	45.4435i	0.393125	+	1.60267i
$805$	5.25971	+	4.92783i	0.185380	+	0.173683i
$806$	−8.16018	−	67.5201i	−0.287430	−	2.37829i
$807$	13.6498	−	5.65394i	0.480496	−	0.199028i
$808$	−14.0627	+	31.1067i	−0.494723	+	1.09433i
$809$	−9.00133	+	21.7311i	−0.316470	+	0.764026i	0.682966	+	0.730450i	$0.260690\pi$
$809$	−9.00133	+	21.7311i	−0.316470	+	0.764026i	−0.999436	+	0.0335763i	$0.989310\pi$
$810$	−0.567029	−	0.264327i	−0.0199234	−	0.00928749i
$811$	−42.4051	+	8.43489i	−1.48904	+	0.296189i	−0.871519	−	0.490363i	$-0.836864\pi$
$811$	−42.4051	+	8.43489i	−1.48904	+	0.296189i	−0.617524	+	0.786552i	$0.711864\pi$
$812$	−40.7161	−	37.2674i	−1.42886	−	1.30783i
$813$	−37.7815	−	56.5440i	−1.32506	−	1.98309i
$814$	−20.2990	−	23.6489i	−0.711479	−	0.828893i
$815$	12.4276	−	8.90249i	0.435320	−	0.311841i
$816$	−10.9445	+	3.20338i	−0.383135	+	0.112141i
$817$	4.31265	+	4.31265i	0.150881	+	0.150881i
$818$	0.350202	−	4.59436i	0.0122445	−	0.160638i
$819$	47.5795	+	71.2077i	1.66256	+	2.48820i
$820$	4.71540	−	8.38490i	0.164669	−	0.292814i
$821$	−3.59476	−	18.0721i	−0.125458	−	0.630720i	−0.991431	−	0.130629i	$-0.958300\pi$
$821$	−3.59476	−	18.0721i	−0.125458	−	0.630720i	0.865973	−	0.500090i	$-0.166700\pi$
$822$	0.960402	+	1.70506i	0.0334979	+	0.0594707i
$823$	4.81291	−	11.6194i	0.167767	−	0.405026i	−0.817527	−	0.575890i	$-0.804656\pi$
$823$	4.81291	−	11.6194i	0.167767	−	0.405026i	0.985295	+	0.170863i	$0.0546557\pi$
$824$	24.6896	+	39.6296i	0.860103	+	1.38056i
$825$	−3.55280	−	54.4726i	−0.123692	−	1.89649i
$826$	−21.3222	−	16.7241i	−0.741895	−	0.581906i
$827$	45.1239	+	30.1508i	1.56911	+	1.04845i	0.968534	+	0.248880i	$0.0800624\pi$
$827$	45.1239	+	30.1508i	1.56911	+	1.04845i	0.600577	+	0.799567i	$0.294938\pi$
$828$	−1.18055	+	7.69894i	−0.0410271	+	0.267557i
$829$	7.81349	+	1.55420i	0.271374	+	0.0539796i	0.328901	−	0.944364i	$-0.393322\pi$
$829$	7.81349	+	1.55420i	0.271374	+	0.0539796i	−0.0575276	+	0.998344i	$0.518322\pi$
$830$	−14.0099	−	10.2699i	−0.486291	−	0.356473i
$831$	54.1312			1.87779
$832$	−21.0841	+	27.5734i	−0.730958	+	0.955935i
$833$			9.48009i			0.328466i
$834$	−35.7299	−	18.0946i	−1.23722	−	0.626564i
$835$	2.31066	−	6.13630i	0.0799638	−	0.212355i
$836$	−1.30852	+	8.53345i	−0.0452560	+	0.295136i
$837$	48.7368	+	32.5649i	1.68459	+	1.12561i
$838$	−2.65215	+	3.38133i	−0.0916169	+	0.116806i
$839$	−35.1672	+	14.5667i	−1.21411	+	0.502900i	−0.895532	−	0.444998i	$-0.853204\pi$
$839$	−35.1672	+	14.5667i	−1.21411	+	0.502900i	−0.318575	+	0.947898i	$0.603204\pi$
$840$	−66.3295	−	27.4216i	−2.28858	−	0.946134i
$841$	−16.2819	−	6.74418i	−0.561444	−	0.232558i
$842$	−16.4160	−	29.1443i	−0.565732	−	1.00438i
$843$	68.9558	−	13.7162i	2.37496	−	0.472409i
$844$	29.2917	+	10.6427i	1.00826	+	0.366337i
$845$	−5.37406	−	11.8659i	−0.184873	−	0.408198i
$846$	40.6097	+	3.09545i	1.39619	+	0.106424i
$847$	11.7742	+	11.7742i	0.404566	+	0.404566i
$848$	−2.55323	+	23.5579i	−0.0876784	+	0.808983i
$849$	0.224316	+	0.224316i	0.00769852	+	0.00769852i
$850$	2.67480	+	6.66294i	0.0917450	+	0.228537i
$851$	3.75803	−	2.51103i	0.128824	−	0.0860772i
$852$	−42.1659	+	46.0680i	−1.44458	+	1.57826i
$853$	6.38252	+	32.0871i	0.218533	+	1.09864i	0.921785	+	0.387700i	$0.126730\pi$
$853$	6.38252	+	32.0871i	0.218533	+	1.09864i	−0.703252	+	0.710940i	$0.748270\pi$
$854$	−2.29867	+	8.22798i	−0.0786589	+	0.281556i
$855$	6.40301	−	10.2932i	0.218978	−	0.352020i
$856$	−4.74290	+	1.78967i	−0.162109	+	0.0611695i
$857$	−38.2231	+	15.8325i	−1.30568	+	0.540829i	−0.923620	−	0.383310i	$-0.874784\pi$
$857$	−38.2231	+	15.8325i	−1.30568	+	0.540829i	−0.382057	+	0.924139i	$0.624784\pi$
$858$	−66.5073	+	8.03777i	−2.27052	+	0.274405i
$859$	24.2623	+	16.2115i	0.827817	+	0.553130i	0.895749	−	0.444560i	$-0.146640\pi$
$859$	24.2623	+	16.2115i	0.827817	+	0.553130i	−0.0679316	+	0.997690i	$0.521640\pi$
$860$	−1.88413	−	24.4976i	−0.0642483	−	0.835362i
$861$	4.76242	−	23.9423i	0.162303	−	0.815952i
$862$	7.96784	+	24.3186i	0.271386	+	0.828293i
$863$	49.1658			1.67362			0.836812	−	0.547490i	$-0.184416\pi$
$863$	49.1658			1.67362			0.836812	+	0.547490i	$0.184416\pi$
$864$	−6.19696	−	29.2663i	−0.210825	−	0.995658i
$865$	−2.58740	−	0.427608i	−0.0879744	−	0.0145391i
$866$	−9.50694	−	29.0160i	−0.323059	−	0.986005i
$867$	−43.9755	−	8.74727i	−1.49349	−	0.297073i
$868$	76.6255	+	46.4386i	2.60084	+	1.57623i
$869$	−27.6185	−	18.4541i	−0.936893	−	0.626012i
$870$	−60.5688	−	2.63717i	−2.05348	−	0.0894085i
$871$	−13.8351	−	33.4009i	−0.468785	−	1.13175i
$872$	−0.0229994	−	0.0245148i	−0.000778857	−	0.000830174i
$873$	−40.7436	−	16.8765i	−1.37896	−	0.571184i
$874$	−1.20583	−	0.336875i	−0.0407877	−	0.0113950i
$875$	−13.1385	+	43.2371i	−0.444163	+	1.46168i
$876$	−3.87489	−	87.6200i	−0.130920	−	2.96041i
$877$	10.8098	+	16.1779i	0.365020	+	0.546291i	0.967834	−	0.251591i	$-0.0809539\pi$
$877$	10.8098	+	16.1779i	0.365020	+	0.546291i	−0.602814	+	0.797882i	$0.705954\pi$
$878$	−23.6198	−	27.5178i	−0.797131	−	0.928680i
$879$	3.88216	+	3.88216i	0.130942	+	0.130942i
$880$	26.3750	−	22.6702i	0.889100	−	0.764212i
$881$	9.92947	−	9.92947i	0.334532	−	0.334532i	−0.519772	−	0.854305i	$-0.673983\pi$
$881$	9.92947	−	9.92947i	0.334532	−	0.334532i	0.854305	+	0.519772i	$0.173983\pi$
$882$	−64.2941	−	4.90078i	−2.16489	−	0.165018i
$883$	−13.8257	+	9.23806i	−0.465273	+	0.310885i	−0.766018	−	0.642819i	$-0.777765\pi$
$883$	−13.8257	+	9.23806i	−0.465273	+	0.310885i	0.300745	+	0.953705i	$0.402765\pi$
$884$	7.98346	−	3.72821i	0.268513	−	0.125393i
$885$	−29.7485	+	0.969092i	−0.999984	+	0.0325757i
$886$	14.8686	+	26.3971i	0.499520	+	0.886827i
$887$	19.0841	−	46.0730i	0.640780	−	1.54698i	−0.184849	−	0.982767i	$-0.559180\pi$
$887$	19.0841	−	46.0730i	0.640780	−	1.54698i	0.825629	−	0.564213i	$-0.190820\pi$
$888$	−26.1858	+	36.6074i	−0.878738	+	1.22846i
$889$	36.7555	−	15.2246i	1.23274	−	0.510617i
$890$	−17.8890	−	19.5177i	−0.599642	−	0.654235i
$891$	0.427381	−	0.639622i	0.0143178	−	0.0214281i
$892$	21.1318	+	28.7862i	0.707545	+	0.963834i
$893$	−1.27717	+	6.42079i	−0.0427390	+	0.214863i
$894$	14.8128	−	29.2497i	0.495415	−	0.978255i
$895$	−12.2808	−	2.02959i	−0.410502	−	0.0678418i
$896$	−11.4399	−	44.2742i	−0.382180	−	1.47910i
$897$		−	9.71518i		−	0.324380i
$898$	15.2617	+	7.72894i	0.509289	+	0.257918i
$899$	74.2284	+	14.7649i	2.47566	+	0.492438i
$900$	−46.5709	+	14.6961i	−1.55236	+	0.489870i
$901$	3.34179	−	5.00134i	0.111331	−	0.166619i
$902$	9.30735	+	7.30023i	0.309901	+	0.243071i
$903$	−23.8599	−	57.6028i	−0.794007	−	1.91690i
$904$	−5.13991	+	7.18552i	−0.170951	+	0.238987i
$905$	29.3499	+	18.2574i	0.975623	+	0.606898i
$906$	3.58961	+	6.37285i	0.119257	+	0.211724i
$907$	41.3037	−	8.21581i	1.37147	−	0.272802i	0.546251	−	0.837621i	$-0.316054\pi$
$907$	41.3037	−	8.21581i	1.37147	−	0.272802i	0.825214	+	0.564820i	$0.191054\pi$
$908$	2.60465	+	5.57751i	0.0864384	+	0.185096i
$909$	32.7459	+	49.0077i	1.08611	+	1.62548i
$910$	53.8688	+	13.1747i	1.78573	+	0.436738i
$911$	2.32413	−	2.32413i	0.0770020	−	0.0770020i	−0.667557	−	0.744559i	$-0.732660\pi$
$911$	2.32413	−	2.32413i	0.0770020	−	0.0770020i	0.744559	+	0.667557i	$0.232660\pi$
$912$	12.4191	−	1.10059i	0.411237	−	0.0364442i
$913$	15.1036	−	15.1036i	0.499855	−	0.499855i
$914$	−17.2427	+	14.8003i	−0.570339	+	0.489550i
$915$	3.87123	+	8.54763i	0.127979	+	0.282576i
$916$	0.675869	+	15.2829i	0.0223313	+	0.504962i
$917$	−1.07712	−	5.41504i	−0.0355696	−	0.178820i
$918$	−2.04325	+	7.31372i	−0.0674374	+	0.241389i
$919$	22.7223	−	54.8565i	0.749540	−	1.80955i	0.187858	−	0.982196i	$-0.439846\pi$
$919$	22.7223	−	54.8565i	0.749540	−	1.80955i	0.561682	−	0.827353i	$-0.310154\pi$
$920$	2.80499	+	4.19177i	0.0924779	+	0.138199i
$921$	13.8597	+	33.4604i	0.456694	+	1.10256i
$922$	−3.09906	−	25.6427i	−0.102062	−	0.844497i
$923$	26.8082	−	40.1213i	0.882403	−	1.32061i
$924$	45.7420	−	75.4761i	1.50480	−	2.48298i
$925$	24.5366	+	14.1767i	0.806758	+	0.466127i
$926$	9.09329	+	27.7536i	0.298824	+	0.912038i
$927$	80.6157			2.64777
$928$	−21.8531	−	31.8495i	−0.717364	−	1.04551i
$929$		−	45.5426i		−	1.49421i	−0.664709	−	0.747103i	$-0.731444\pi$
$929$		−	45.5426i		−	1.49421i	0.664709	−	0.747103i	$-0.268556\pi$
$930$	97.2659	−	14.9827i	3.18947	−	0.491301i
$931$	2.02205	−	10.1655i	0.0662699	−	0.333162i
$932$	−7.41048	−	30.2106i	−0.242738	−	0.989582i
$933$	15.3905	−	23.0336i	0.503864	−	0.754085i
$934$	0.245058	+	2.02769i	0.00801854	+	0.0663481i
$935$	−8.59812	+	2.00335i	−0.281189	+	0.0655165i
$936$	21.1577	+	56.0712i	0.691560	+	1.83275i
$937$	15.2830	+	6.33041i	0.499272	+	0.206805i	0.618085	−	0.786111i	$-0.287909\pi$
$937$	15.2830	+	6.33041i	0.499272	+	0.206805i	−0.118813	+	0.992917i	$0.537909\pi$
$938$	45.8719	+	12.8153i	1.49777	+	0.418436i
$939$	−25.9882	+	5.16938i	−0.848094	+	0.168696i
$940$	20.7402	−	16.2905i	0.676471	−	0.531337i
$941$	13.6701	−	9.13410i	0.445634	−	0.297763i	−0.312433	−	0.949940i	$-0.601144\pi$
$941$	13.6701	−	9.13410i	0.445634	−	0.297763i	0.758067	+	0.652177i	$0.226144\pi$
$942$	40.7713	−	34.9960i	1.32840	−	1.14023i
$943$	−1.21299	+	1.21299i	−0.0395005	+	0.0395005i
$944$	−11.8861	−	14.7757i	−0.386860	−	0.480910i
$945$	−38.8544	+	27.8332i	−1.26393	+	0.905415i
$946$	30.1244	+	2.29621i	0.979428	+	0.0746563i
$947$	−17.4364	+	11.6507i	−0.566608	+	0.378595i	−0.805630	−	0.592419i	$-0.798173\pi$
$947$	−17.4364	+	11.6507i	−0.566608	+	0.378595i	0.239022	+	0.971014i	$0.423173\pi$
$948$	−16.3814	+	45.0863i	−0.532043	+	1.46434i
$949$	13.2205	+	66.4639i	0.429155	+	2.15751i
$950$	−1.44703	−	7.71520i	−0.0469478	−	0.250314i
$951$	−6.94681	−	2.87746i	−0.225266	−	0.0933082i
$952$	−2.62634	+	11.3068i	−0.0851202	+	0.366456i
$953$	−2.96580	−	7.16008i	−0.0960717	−	0.231938i	0.868536	−	0.495625i	$-0.165061\pi$
$953$	−2.96580	−	7.16008i	−0.0960717	−	0.231938i	−0.964608	+	0.263688i	$0.915061\pi$
$954$	32.1916	+	25.2495i	1.04224	+	0.817483i
$955$	−15.5060	+	16.5503i	−0.501763	+	0.535555i
$956$	−6.49467	+	42.3548i	−0.210053	+	1.36985i
$957$	14.5435	−	73.1149i	0.470123	−	2.36347i
$958$	1.01332	−	2.00093i	0.0327390	−	0.0646470i
$959$	1.99197			0.0643241
$960$	−40.8711	−	29.1936i	−1.31911	−	0.942218i
$961$	−91.8538			−2.96302
$962$	15.7117	−	31.0246i	0.506566	−	1.00027i
$963$	−1.70753	+	8.58434i	−0.0550244	+	0.276627i
$964$	−9.55935	−	1.46583i	−0.307886	−	0.0472111i
$965$	23.8891	+	22.3817i	0.769016	+	0.720493i
$966$	10.0707	+	7.89896i	0.324019	+	0.254145i
$967$	13.2675	+	32.0305i	0.426653	+	1.03003i	0.980342	+	0.197308i	$0.0632199\pi$
$967$	13.2675	+	32.0305i	0.426653	+	1.03003i	−0.553688	+	0.832724i	$0.686780\pi$
$968$	6.16153	+	9.88995i	0.198039	+	0.317875i
$969$	−2.92395	−	1.21114i	−0.0939309	−	0.0389074i
$970$	−26.8338	+	9.77038i	−0.861582	+	0.313708i
$971$	−4.10715	−	20.6480i	−0.131805	−	0.662627i	−0.989034	−	0.147691i	$-0.952816\pi$
$971$	−4.10715	−	20.6480i	−0.131805	−	0.662627i	0.857229	−	0.514935i	$-0.172184\pi$
$972$	28.7782	+	10.4561i	0.923061	+	0.335380i
$973$	−33.8969	+	22.6492i	−1.08668	+	0.726099i
$974$	10.8457	+	0.826708i	0.347519	+	0.0264894i
$975$	54.6387	−	26.9231i	1.74984	−	0.862229i
$976$	−2.86960	+	5.24456i	−0.0918537	+	0.167874i
$977$	−25.6062	+	25.6062i	−0.819216	+	0.819216i	−0.985994	−	0.166779i	$-0.946663\pi$
$977$	−25.6062	+	25.6062i	−0.819216	+	0.819216i	0.166779	+	0.985994i	$0.446663\pi$
$978$	20.5991	−	17.6812i	0.658686	−	0.565382i
$979$	27.0685	−	18.0866i	0.865113	−	0.578050i
$980$	−32.8363	+	25.7914i	−1.04892	+	0.823876i
$981$	−0.0569227	+	0.0113226i	−0.00181740	+	0.000361504i
$982$	−7.23682	−	2.02177i	−0.230936	−	0.0645172i
$983$	40.8318	+	16.9131i	1.30233	+	0.539443i	0.922637	−	0.385669i	$-0.126029\pi$
$983$	40.8318	+	16.9131i	1.30233	+	0.539443i	0.379694	+	0.925112i	$0.376029\pi$
$984$	7.03705	−	15.5660i	0.224333	−	0.496225i
$985$	3.54573	−	0.826150i	0.112976	−	0.0263233i
$986$	1.17642	+	9.73408i	0.0374648	+	0.309996i
$987$	37.1811	−	55.6454i	1.18349	−	1.77121i
$988$	−9.35588	+	2.29494i	−0.297650	+	0.0730118i
$989$	−0.854762	+	4.29718i	−0.0271798	+	0.136642i
$990$	−9.14189	−	59.3482i	−0.290548	−	1.88621i
$991$		−	9.21209i		−	0.292632i	−0.989238	−	0.146316i	$-0.953258\pi$
$991$		−	9.21209i		−	0.292632i	0.989238	−	0.146316i	$-0.0467416\pi$
$992$	44.8783	+	43.7865i	1.42489	+	1.39022i
$993$	54.3668			1.72528
$994$	19.7930	+	60.4100i	0.627795	+	1.91609i
$995$	19.0540	−	50.6007i	0.604053	−	1.60415i
$996$	−26.3803	−	15.9877i	−0.835893	−	0.506590i
$997$	7.72241	−	11.5574i	0.244571	−	0.366027i	−0.688793	−	0.724958i	$-0.741859\pi$
$997$	7.72241	−	11.5574i	0.244571	−	0.366027i	0.933364	+	0.358932i	$0.116859\pi$
$998$	−2.01269	−	16.6537i	−0.0637106	−	0.527163i
$999$	11.4696	+	27.6902i	0.362883	+	0.876078i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	320.2.bf.a.29.7	✓	368
5.4	even	2	inner	320.2.bf.a.29.40	yes	368
64.53	even	16	inner	320.2.bf.a.309.40	yes	368
320.309	even	16	inner	320.2.bf.a.309.7	yes	368

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
320.2.bf.a.29.7	✓	368	1.1	even	1	trivial
320.2.bf.a.29.40	yes	368	5.4	even	2	inner
320.2.bf.a.309.7	yes	368	320.309	even	16	inner
320.2.bf.a.309.40	yes	368	64.53	even	16	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 320 = 2^{6} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	320.bf (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.26165 - 0.638935i) q^{2} +(-0.547765 + 2.75380i) q^{3} +(1.18353 + 1.61222i) q^{4} +(1.52882 - 1.63178i) q^{5} +(2.45059 - 3.12435i) q^{6} +(-1.54675 - 3.73418i) q^{7} +(-0.463089 - 2.79026i) q^{8} +(-4.51173 - 1.86882i) q^{9} +O(q^{10})\)	\(q+(-1.26165 - 0.638935i) q^{2} +(-0.547765 + 2.75380i) q^{3} +(1.18353 + 1.61222i) q^{4} +(1.52882 - 1.63178i) q^{5} +(2.45059 - 3.12435i) q^{6} +(-1.54675 - 3.73418i) q^{7} +(-0.463089 - 2.79026i) q^{8} +(-4.51173 - 1.86882i) q^{9} +(-2.97144 + 1.08192i) q^{10} +(-0.758590 - 3.81369i) q^{11} +(-5.08804 + 2.37607i) q^{12} +(3.60761 - 2.41052i) q^{13} +(-0.434441 + 5.69950i) q^{14} +(3.65616 + 5.10390i) q^{15} +(-1.19854 + 3.81622i) q^{16} +(0.717979 - 0.717979i) q^{17} +(4.49818 + 5.24050i) q^{18} +(-0.923031 + 0.616749i) q^{19} +(4.44019 + 0.533548i) q^{20} +(11.1304 - 2.21398i) q^{21} +(-1.47962 + 5.29624i) q^{22} +(-0.736775 - 0.305182i) q^{23} +(7.93748 + 0.253151i) q^{24} +(-0.325417 - 4.98940i) q^{25} +(-6.09171 + 0.736216i) q^{26} +(2.93802 - 4.39706i) q^{27} +(4.18972 - 6.91320i) q^{28} +(1.33210 - 6.69693i) q^{29} +(-1.35175 - 8.77539i) q^{30} +11.0839i q^{31} +(3.95045 - 4.04895i) q^{32} +10.9177 q^{33} +(-1.36458 + 0.447097i) q^{34} +(-8.45807 - 3.18494i) q^{35} +(-2.32679 - 9.48572i) q^{36} +(-3.14871 + 4.71238i) q^{37} +(1.55860 - 0.188366i) q^{38} +(4.66198 + 11.2550i) q^{39} +(-5.26107 - 3.51015i) q^{40} +(0.823177 - 1.98733i) q^{41} +(-15.4573 - 4.31835i) q^{42} +(-1.07183 - 5.38845i) q^{43} +(5.25072 - 5.73662i) q^{44} +(-9.94714 + 4.50507i) q^{45} +(0.734561 + 0.855785i) q^{46} +(4.16994 - 4.16994i) q^{47} +(-9.85258 - 5.39092i) q^{48} +(-6.60193 + 6.60193i) q^{49} +(-2.77734 + 6.50280i) q^{50} +(1.58389 + 2.37045i) q^{51} +(8.15600 + 2.96335i) q^{52} +(5.81015 - 1.15571i) q^{53} +(-6.51619 + 3.67035i) q^{54} +(-7.38286 - 4.59260i) q^{55} +(-9.70305 + 6.04509i) q^{56} +(-1.19280 - 2.87968i) q^{57} +(-5.95955 + 7.59806i) q^{58} +(-2.63385 + 3.94183i) q^{59} +(-3.90147 + 11.9352i) q^{60} +(1.46586 + 0.291577i) q^{61} +(7.08191 - 13.9841i) q^{62} +19.7382i q^{63} +(-7.57110 + 2.58428i) q^{64} +(1.58193 - 9.57208i) q^{65} +(-13.7743 - 6.97568i) q^{66} +(1.62557 - 8.17231i) q^{67} +(2.00729 + 0.307797i) q^{68} +(1.24399 - 1.86176i) q^{69} +(8.63616 + 9.42243i) q^{70} +(10.2748 - 4.25594i) q^{71} +(-3.12516 + 13.4543i) q^{72} +(-5.97694 + 14.4296i) q^{73} +(6.98348 - 3.93356i) q^{74} +(13.9181 + 1.83689i) q^{75} +(-2.08677 - 0.758194i) q^{76} +(-13.0677 + 8.73154i) q^{77} +(1.30943 - 17.1786i) q^{78} +(6.04041 - 6.04041i) q^{79} +(4.39488 + 7.79006i) q^{80} +(0.139891 + 0.139891i) q^{81} +(-2.30833 + 1.98135i) q^{82} +(3.05184 + 4.56740i) q^{83} +(16.7426 + 15.3245i) q^{84} +(-0.0739234 - 2.26924i) q^{85} +(-2.09059 + 7.48317i) q^{86} +(17.7123 + 7.33669i) q^{87} +(-10.2899 + 3.88274i) q^{88} +(3.20395 + 7.73502i) q^{89} +(15.4283 + 0.671747i) q^{90} +(-14.5814 - 9.74298i) q^{91} +(-0.379970 - 1.54904i) q^{92} +(-30.5230 - 6.07140i) q^{93} +(-7.92532 + 2.59669i) q^{94} +(-0.404748 + 2.44908i) q^{95} +(8.98607 + 13.0966i) q^{96} +9.03058 q^{97} +(12.5475 - 4.11113i) q^{98} +(-3.70455 + 18.6240i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 368 q - 16 q^{4} - 8 q^{5} - 16 q^{6} - 16 q^{9}+O(q^{10}) \) 368 * q - 16 * q^4 - 8 * q^5 - 16 * q^6 - 16 * q^9	\( 368 q - 16 q^{4} - 8 q^{5} - 16 q^{6} - 16 q^{9} - 8 q^{10} - 16 q^{11} - 16 q^{14} - 8 q^{15} - 16 q^{16} - 16 q^{19} - 8 q^{20} - 16 q^{21} - 16 q^{24} - 8 q^{25} - 96 q^{26} - 16 q^{29} + 72 q^{30} - 16 q^{34} - 8 q^{35} - 176 q^{36} - 16 q^{39} + 32 q^{40} - 16 q^{41} - 16 q^{44} - 8 q^{45} - 16 q^{46} - 16 q^{49} + 16 q^{50} + 16 q^{51} + 48 q^{54} - 72 q^{55} - 112 q^{56} - 80 q^{59} + 88 q^{60} - 16 q^{61} + 80 q^{64} - 16 q^{65} - 144 q^{66} - 16 q^{69} + 88 q^{70} + 48 q^{71} + 80 q^{74} - 72 q^{75} - 80 q^{76} - 48 q^{79} + 16 q^{80} - 16 q^{81} - 128 q^{84} - 8 q^{85} - 16 q^{86} - 16 q^{89} - 8 q^{90} - 16 q^{91} - 192 q^{94} - 16 q^{96} - 64 q^{99}+O(q^{100}) \) 368 * q - 16 * q^4 - 8 * q^5 - 16 * q^6 - 16 * q^9 - 8 * q^10 - 16 * q^11 - 16 * q^14 - 8 * q^15 - 16 * q^16 - 16 * q^19 - 8 * q^20 - 16 * q^21 - 16 * q^24 - 8 * q^25 - 96 * q^26 - 16 * q^29 + 72 * q^30 - 16 * q^34 - 8 * q^35 - 176 * q^36 - 16 * q^39 + 32 * q^40 - 16 * q^41 - 16 * q^44 - 8 * q^45 - 16 * q^46 - 16 * q^49 + 16 * q^50 + 16 * q^51 + 48 * q^54 - 72 * q^55 - 112 * q^56 - 80 * q^59 + 88 * q^60 - 16 * q^61 + 80 * q^64 - 16 * q^65 - 144 * q^66 - 16 * q^69 + 88 * q^70 + 48 * q^71 + 80 * q^74 - 72 * q^75 - 80 * q^76 - 48 * q^79 + 16 * q^80 - 16 * q^81 - 128 * q^84 - 8 * q^85 - 16 * q^86 - 16 * q^89 - 8 * q^90 - 16 * q^91 - 192 * q^94 - 16 * q^96 - 64 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more