LMFDB - Embedded newform 912.2.cn.a.451.54

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [912,2,Mod(67,912)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(912, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([18, 27, 0, 34]))

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

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

chi := DirichletCharacter("912.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 912 = 2^{4} \cdot 3 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	912.cn (of order $36$, degree $12$, 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:	$7.28235666434$
Analytic rank:	$0$
Dimension:	$960$
Relative dimension:	$80$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			451.54
Character	$\chi$	$=$	912.451
Dual form			912.2.cn.a.91.54

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.667722 - 1.24665i) q^{2} +(-0.819152 + 0.573576i) q^{3} +(-1.10829 - 1.66484i) q^{4} +(3.18297 - 0.278474i) q^{5} +(0.168086 + 1.40419i) q^{6} +(-0.267005 - 0.462466i) q^{7} +(-2.81551 + 0.270011i) q^{8} +(0.342020 - 0.939693i) q^{9} +O(q^{10})$	\(q+(0.667722 - 1.24665i) q^{2} +(-0.819152 + 0.573576i) q^{3} +(-1.10829 - 1.66484i) q^{4} +(3.18297 - 0.278474i) q^{5} +(0.168086 + 1.40419i) q^{6} +(-0.267005 - 0.462466i) q^{7} +(-2.81551 + 0.270011i) q^{8} +(0.342020 - 0.939693i) q^{9} +(1.77818 - 4.15401i) q^{10} +(5.43168 - 1.45541i) q^{11} +(1.86277 + 0.728064i) q^{12} +(-5.10634 - 3.57550i) q^{13} +(-0.754820 + 0.0240639i) q^{14} +(-2.44761 + 2.05379i) q^{15} +(-1.54337 + 3.69026i) q^{16} +(-0.691163 + 0.251563i) q^{17} +(-0.943097 - 1.05383i) q^{18} +(-0.0676736 + 4.35837i) q^{19} +(-3.99128 - 4.99050i) q^{20} +(0.483977 + 0.225682i) q^{21} +(1.81246 - 7.74324i) q^{22} +(5.85324 - 4.91145i) q^{23} +(2.15146 - 1.83609i) q^{24} +(5.12973 - 0.904510i) q^{25} +(-7.86702 + 3.97840i) q^{26} +(0.258819 + 0.965926i) q^{27} +(-0.474010 + 0.957067i) q^{28} +(5.78810 - 2.69904i) q^{29} +(0.926042 + 4.42269i) q^{30} +(0.448498 + 0.776821i) q^{31} +(3.56994 + 4.38812i) q^{32} +(-3.61458 + 4.30769i) q^{33} +(-0.147893 + 1.02962i) q^{34} +(-0.978653 - 1.39766i) q^{35} +(-1.94349 + 0.472048i) q^{36} +(-7.71918 - 7.71918i) q^{37} +(5.38820 + 2.99455i) q^{38} +6.23369 q^{39} +(-8.88650 + 1.64348i) q^{40} +(0.589274 - 3.34194i) q^{41} +(0.604509 - 0.452659i) q^{42} +(-0.0274998 - 0.314324i) q^{43} +(-8.44293 - 7.42984i) q^{44} +(0.826961 - 3.08626i) q^{45} +(-2.21454 - 10.5765i) q^{46} +(-2.15257 + 5.91413i) q^{47} +(-0.852392 - 3.90812i) q^{48} +(3.35742 - 5.81522i) q^{49} +(2.29762 - 6.99896i) q^{50} +(0.421877 - 0.602503i) q^{51} +(-0.293297 + 12.4639i) q^{52} +(-9.60571 - 0.840391i) q^{53} +(1.37699 + 0.322312i) q^{54} +(16.8836 - 6.14513i) q^{55} +(0.876625 + 1.22998i) q^{56} +(-2.44443 - 3.60899i) q^{57} +(0.500079 - 9.01797i) q^{58} +(2.73940 - 5.87466i) q^{59} +(6.13190 + 1.79867i) q^{60} +(-0.196037 - 0.0171510i) q^{61} +(1.26790 - 0.0404211i) q^{62} +(-0.525896 + 0.0927297i) q^{63} +(7.85419 - 1.52043i) q^{64} +(-17.2490 - 9.95872i) q^{65} +(2.95667 + 7.38248i) q^{66} +(4.82409 + 10.3453i) q^{67} +(1.18482 + 0.871869i) q^{68} +(-1.97760 + 7.38051i) q^{69} +(-2.39587 + 0.286792i) q^{70} +(-6.59055 + 7.85431i) q^{71} +(-0.709234 + 2.73806i) q^{72} +(-4.98959 - 0.879800i) q^{73} +(-14.7774 + 4.46888i) q^{74} +(-3.68322 + 3.68322i) q^{75} +(7.33099 - 4.71769i) q^{76} +(-2.12336 - 2.12336i) q^{77} +(4.16237 - 7.77125i) q^{78} +(0.492149 - 2.79111i) q^{79} +(-3.88486 + 12.1758i) q^{80} +(-0.766044 - 0.642788i) q^{81} +(-3.77277 - 2.96611i) q^{82} +(1.99011 + 0.533250i) q^{83} +(-0.160665 - 1.05586i) q^{84} +(-2.12990 + 0.993189i) q^{85} +(-0.410216 - 0.175599i) q^{86} +(-3.19323 + 5.53084i) q^{87} +(-14.9000 + 5.56435i) q^{88} +(1.28800 + 7.30463i) q^{89} +(-3.29532 - 3.09170i) q^{90} +(-0.290128 + 3.31618i) q^{91} +(-14.6639 - 4.30136i) q^{92} +(-0.812954 - 0.379087i) q^{93} +(5.93556 + 6.63250i) q^{94} +(0.998291 + 13.8914i) q^{95} +(-5.44124 - 1.54690i) q^{96} +(2.60095 + 7.14605i) q^{97} +(-5.00774 - 8.06849i) q^{98} +(0.490102 - 5.60189i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 960 q+O(q^{10}) $ 960 * q	$ 960 q + 48 q^{10} + 12 q^{16} - 60 q^{32} - 120 q^{34} + 12 q^{36} + 108 q^{38} + 60 q^{40} + 180 q^{46} - 480 q^{49} - 108 q^{50} - 24 q^{51} + 48 q^{52} + 12 q^{54} + 72 q^{68} - 144 q^{69} - 72 q^{70} - 48 q^{76} + 72 q^{78} - 120 q^{80} + 120 q^{82} + 96 q^{85} + 84 q^{98}+O(q^{100}) $ 960 * q + 48 * q^10 + 12 * q^16 - 60 * q^32 - 120 * q^34 + 12 * q^36 + 108 * q^38 + 60 * q^40 + 180 * q^46 - 480 * q^49 - 108 * q^50 - 24 * q^51 + 48 * q^52 + 12 * q^54 + 72 * q^68 - 144 * q^69 - 72 * q^70 - 48 * q^76 + 72 * q^78 - 120 * q^80 + 120 * q^82 + 96 * q^85 + 84 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/912\mathbb{Z}\right)^\times$.

$n$	$97$	$229$	$305$	$799$
$\chi(n)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{3}{4}\right)$	$1$	$-1$

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 $

$2$	0.667722	−	1.24665i	0.472151	−	0.881518i
$2$	0.667722	−	1.24665i	0.472151	−	0.881518i
$3$	−0.819152	+	0.573576i	−0.472938	+	0.331155i
$3$	−0.819152	+	0.573576i	−0.472938	+	0.331155i
$4$	−1.10829	−	1.66484i	−0.554147	−	0.832419i
$5$	3.18297	−	0.278474i	1.42347	−	0.124537i	0.650753	−	0.759290i	$-0.274453\pi$
$5$	3.18297	−	0.278474i	1.42347	−	0.124537i	0.772716	+	0.634752i	$0.218898\pi$
$6$	0.168086	+	1.40419i	0.0686206	+	0.573258i
$7$	−0.267005	−	0.462466i	−0.100918	−	0.174796i	0.811145	−	0.584845i	$-0.198845\pi$
$7$	−0.267005	−	0.462466i	−0.100918	−	0.174796i	−0.912063	+	0.410050i	$0.865511\pi$
$8$	−2.81551	+	0.270011i	−0.995433	+	0.0954631i
$9$	0.342020	−	0.939693i	0.114007	−	0.313231i
$10$	1.77818	−	4.15401i	0.562310	−	1.31361i
$11$	5.43168	−	1.45541i	1.63771	−	0.438824i	0.681578	−	0.731746i	$-0.261294\pi$
$11$	5.43168	−	1.45541i	1.63771	−	0.438824i	0.956136	+	0.292922i	$0.0946276\pi$
$12$	1.86277	+	0.728064i	0.537736	+	0.210174i
$13$	−5.10634	−	3.57550i	−1.41624	−	0.991664i	−0.996463	−	0.0840382i	$-0.973218\pi$
$13$	−5.10634	−	3.57550i	−1.41624	−	0.991664i	−0.419780	−	0.907626i	$-0.637893\pi$
$14$	−0.754820	+	0.0240639i	−0.201734	+	0.00643136i
$15$	−2.44761	+	2.05379i	−0.631971	+	0.530287i
$16$	−1.54337	+	3.69026i	−0.385842	+	0.922565i
$17$	−0.691163	+	0.251563i	−0.167632	+	0.0610129i	−0.424473	−	0.905441i	$-0.639541\pi$
$17$	−0.691163	+	0.251563i	−0.167632	+	0.0610129i	0.256841	+	0.966454i	$0.417318\pi$
$18$	−0.943097	−	1.05383i	−0.222290	−	0.248391i
$19$	−0.0676736	+	4.35837i	−0.0155254	+	0.999879i
$19$	−0.0676736	+	4.35837i	−0.0155254	+	0.999879i
$20$	−3.99128	−	4.99050i	−0.892478	−	1.11591i
$21$	0.483977	+	0.225682i	0.105612	+	0.0492479i
$22$	1.81246	−	7.74324i	0.386417	−	1.65087i
$23$	5.85324	−	4.91145i	1.22048	−	1.02411i	0.221686	−	0.975118i	$-0.428844\pi$
$23$	5.85324	−	4.91145i	1.22048	−	1.02411i	0.998799	−	0.0489901i	$-0.0156003\pi$
$24$	2.15146	−	1.83609i	0.439165	−	0.374790i
$25$	5.12973	−	0.904510i	1.02595	−	0.180902i
$26$	−7.86702	+	3.97840i	−1.54285	+	0.780228i
$27$	0.258819	+	0.965926i	0.0498097	+	0.185893i
$28$	−0.474010	+	0.957067i	−0.0895795	+	0.180869i
$29$	5.78810	−	2.69904i	1.07482	−	0.501199i	0.197109	−	0.980382i	$-0.436845\pi$
$29$	5.78810	−	2.69904i	1.07482	−	0.501199i	0.877715	+	0.479183i	$0.159067\pi$
$30$	0.926042	+	4.42269i	0.169071	+	0.807469i
$31$	0.448498	+	0.776821i	0.0805526	+	0.139521i	0.903487	−	0.428615i	$-0.140998\pi$
$31$	0.448498	+	0.776821i	0.0805526	+	0.139521i	−0.822935	+	0.568136i	$0.807665\pi$
$32$	3.56994	+	4.38812i	0.631082	+	0.775716i
$33$	−3.61458	+	4.30769i	−0.629218	+	0.749873i
$34$	−0.147893	+	1.02962i	−0.0253635	+	0.176578i
$35$	−0.978653	−	1.39766i	−0.165423	−	0.236248i
$36$	−1.94349	+	0.472048i	−0.323916	+	0.0786746i
$37$	−7.71918	−	7.71918i	−1.26903	−	1.26903i	−0.946592	−	0.322434i	$-0.895499\pi$
$37$	−7.71918	−	7.71918i	−1.26903	−	1.26903i	−0.322434	−	0.946592i	$-0.604501\pi$
$38$	5.38820	+	2.99455i	0.874081	+	0.485780i
$39$	6.23369			0.998189
$40$	−8.88650	+	1.64348i	−1.40508	+	0.259857i
$41$	0.589274	−	3.34194i	0.0920292	−	0.521923i	−0.903588	−	0.428402i	$-0.859077\pi$
$41$	0.589274	−	3.34194i	0.0920292	−	0.521923i	0.995617	−	0.0935211i	$-0.0298123\pi$
$42$	0.604509	−	0.452659i	0.0932778	−	0.0698468i
$43$	−0.0274998	−	0.314324i	−0.00419368	−	0.0479340i	0.993810	−	0.111098i	$-0.0354366\pi$
$43$	−0.0274998	−	0.314324i	−0.00419368	−	0.0479340i	−0.998003	+	0.0631635i	$0.979881\pi$
$44$	−8.44293	−	7.42984i	−1.27282	−	1.12009i
$45$	0.826961	−	3.08626i	0.123276	−	0.460072i
$46$	−2.21454	−	10.5765i	−0.326517	−	1.55941i
$47$	−2.15257	+	5.91413i	−0.313984	+	0.862665i	0.677858	+	0.735193i	$0.262908\pi$
$47$	−2.15257	+	5.91413i	−0.313984	+	0.862665i	−0.991842	+	0.127472i	$0.959314\pi$
$48$	−0.852392	−	3.90812i	−0.123032	−	0.564089i
$49$	3.35742	−	5.81522i	0.479631	−	0.830745i
$50$	2.29762	−	6.99896i	0.324933	−	0.989803i
$51$	0.421877	−	0.602503i	0.0590746	−	0.0843673i
$52$	−0.293297	+	12.4639i	−0.0406729	+	1.72843i
$53$	−9.60571	−	0.840391i	−1.31945	−	0.115437i	−0.594418	−	0.804156i	$-0.702618\pi$
$53$	−9.60571	−	0.840391i	−1.31945	−	0.115437i	−0.725028	+	0.688720i	$0.758173\pi$
$54$	1.37699	+	0.322312i	0.187385	+	0.0438611i
$55$	16.8836	−	6.14513i	2.27658	−	0.828609i
$56$	0.876625	+	1.22998i	0.117144	+	0.164363i
$57$	−2.44443	−	3.60899i	−0.323772	−	0.478022i
$58$	0.500079	−	9.01797i	0.0656636	−	1.18412i
$59$	2.73940	−	5.87466i	0.356639	−	0.764815i	−0.643360	−	0.765563i	$-0.722460\pi$
$59$	2.73940	−	5.87466i	0.356639	−	0.764815i	1.00000		0.000748023i	$0.000238103\pi$
$60$	6.13190	+	1.79867i	0.791625	+	0.232208i
$61$	−0.196037	−	0.0171510i	−0.0251000	−	0.00219596i	0.0745988	−	0.997214i	$-0.476232\pi$
$61$	−0.196037	−	0.0171510i	−0.0251000	−	0.00219596i	−0.0996988	+	0.995018i	$0.531788\pi$
$62$	1.26790	−	0.0404211i	0.161023	−	0.00513348i
$63$	−0.525896	+	0.0927297i	−0.0662567	+	0.0116828i
$64$	7.85419	−	1.52043i	0.981774	−	0.190054i
$65$	−17.2490	−	9.95872i	−2.13948	−	1.23523i
$66$	2.95667	+	7.38248i	0.363940	+	0.908720i
$67$	4.82409	+	10.3453i	0.589356	+	1.26388i	0.944329	+	0.329002i	$0.106712\pi$
$67$	4.82409	+	10.3453i	0.589356	+	1.26388i	−0.354973	+	0.934876i	$0.615510\pi$
$68$	1.18482	+	0.871869i	0.143681	+	0.105730i
$69$	−1.97760	+	7.38051i	−0.238075	+	0.888508i
$70$	−2.39587	+	0.286792i	−0.286361	+	0.0342783i
$71$	−6.59055	+	7.85431i	−0.782155	+	0.932136i	−0.999029	−	0.0440640i	$-0.985969\pi$
$71$	−6.59055	+	7.85431i	−0.782155	+	0.932136i	0.216874	+	0.976200i	$0.430414\pi$
$72$	−0.709234	+	2.73806i	−0.0835840	+	0.322684i
$73$	−4.98959	−	0.879800i	−0.583988	−	0.102973i	−0.126154	−	0.992011i	$-0.540263\pi$
$73$	−4.98959	−	0.879800i	−0.583988	−	0.102973i	−0.457834	+	0.889038i	$0.651375\pi$
$74$	−14.7774	+	4.46888i	−1.71784	+	0.519497i
$75$	−3.68322	+	3.68322i	−0.425302	+	0.425302i
$76$	7.33099	−	4.71769i	0.840922	−	0.541157i
$77$	−2.12336	−	2.12336i	−0.241980	−	0.241980i
$78$	4.16237	−	7.77125i	0.471296	−	0.879921i
$79$	0.492149	−	2.79111i	0.0553710	−	0.314025i	−0.944525	−	0.328439i	$-0.893477\pi$
$79$	0.492149	−	2.79111i	0.0553710	−	0.314025i	0.999896	+	0.0144146i	$0.00458846\pi$
$80$	−3.88486	+	12.1758i	−0.434340	+	1.36129i
$81$	−0.766044	−	0.642788i	−0.0851160	−	0.0714208i
$82$	−3.77277	−	2.96611i	−0.416633	−	0.327552i
$83$	1.99011	+	0.533250i	0.218443	+	0.0585318i	0.366381	−	0.930465i	$-0.380597\pi$
$83$	1.99011	+	0.533250i	0.218443	+	0.0585318i	−0.147937	+	0.988997i	$0.547263\pi$
$84$	−0.160665	−	1.05586i	−0.0175299	−	0.115204i
$85$	−2.12990	+	0.993189i	−0.231020	+	0.107726i
$86$	−0.410216	−	0.175599i	−0.0442347	−	0.0189353i
$87$	−3.19323	+	5.53084i	−0.342351	+	0.592968i
$88$	−14.9000	+	5.56435i	−1.58834	+	0.593161i
$89$	1.28800	+	7.30463i	0.136528	+	0.774289i	0.973783	+	0.227477i	$0.0730476\pi$
$89$	1.28800	+	7.30463i	0.136528	+	0.774289i	−0.837255	+	0.546812i	$0.815841\pi$
$90$	−3.29532	−	3.09170i	−0.347357	−	0.325894i
$91$	−0.290128	+	3.31618i	−0.0304137	+	0.347630i
$92$	−14.6639	−	4.30136i	−1.52882	−	0.448448i
$93$	−0.812954	−	0.379087i	−0.0842994	−	0.0393094i
$94$	5.93556	+	6.63250i	0.612206	+	0.684091i
$95$	0.998291	+	13.8914i	0.102422	+	1.42523i
$96$	−5.44124	−	1.54690i	−0.555344	−	0.157880i
$97$	2.60095	+	7.14605i	0.264087	+	0.725572i	0.998882	+	0.0472826i	$0.0150561\pi$
$97$	2.60095	+	7.14605i	0.264087	+	0.725572i	−0.734795	+	0.678289i	$0.762722\pi$
$98$	−5.00774	−	8.06849i	−0.505858	−	0.815040i
$99$	0.490102	−	5.60189i	0.0492571	−	0.563011i
$100$	−7.19111	−	7.53770i	−0.719111	−	0.753770i
$101$	7.42383	+	5.19822i	0.738699	+	0.517243i	0.881311	−	0.472536i	$-0.156661\pi$
$101$	7.42383	+	5.19822i	0.738699	+	0.517243i	−0.142612	+	0.989779i	$0.545550\pi$
$102$	−0.469416	−	0.928240i	−0.0464791	−	0.0919094i
$103$	−10.1024	−	5.83263i	−0.995420	−	0.574706i	−0.0885300	−	0.996074i	$-0.528217\pi$
$103$	−10.1024	−	5.83263i	−0.995420	−	0.574706i	−0.906890	+	0.421368i	$0.861550\pi$
$104$	15.3424	+	8.68808i	1.50444	+	0.851936i
$105$	1.60333	+	0.583565i	0.156469	+	0.0569501i
$106$	−7.46162	+	11.4139i	−0.724737	+	1.10861i
$107$	13.8858	+	3.72068i	1.34239	+	0.359692i	0.857320	−	0.514784i	$-0.172128\pi$
$107$	13.8858	+	3.72068i	1.34239	+	0.359692i	0.485069	+	0.874476i	$0.338794\pi$
$108$	1.32126	−	1.50142i	0.127138	−	0.144474i
$109$	14.9454	−	1.30755i	1.43151	−	0.125241i	0.655133	−	0.755513i	$-0.272612\pi$
$109$	14.9454	−	1.30755i	1.43151	−	0.125241i	0.776374	+	0.630273i	$0.217057\pi$
$110$	3.61271	−	25.1513i	0.344458	−	2.39808i
$111$	10.7507	+	1.89564i	1.02041	+	0.179926i
$112$	2.11870	−	0.271561i	0.200199	−	0.0256601i
$113$		−	7.42141i		−	0.698147i	−0.937095	−	0.349074i	$-0.886496\pi$
$113$		−	7.42141i		−	0.698147i	0.937095	−	0.349074i	$-0.113504\pi$
$114$	−6.13136	+	0.637553i	−0.574254	+	0.0597123i
$115$	17.2630	−	17.2630i	1.60978	−	1.60978i
$116$	−10.9084	−	6.64493i	−1.01282	−	0.616966i
$117$	−5.10634	+	3.57550i	−0.472081	+	0.330555i
$118$	−5.49451	−	7.33772i	−0.505811	−	0.675492i
$119$	0.300883	+	0.252471i	0.0275819	+	0.0231440i
$120$	6.33673	−	6.44335i	0.578462	−	0.588195i
$121$	17.8587	−	10.3107i	1.62351	−	0.937337i
$122$	−0.152280	+	0.232938i	−0.0137868	+	0.0210892i
$123$	1.43415	+	3.07555i	0.129313	+	0.277313i
$124$	0.796213	−	1.60762i	0.0715020	−	0.144369i
$125$	0.644610	−	0.172723i	0.0576557	−	0.0154488i
$126$	−0.235551	+	0.717529i	−0.0209845	+	0.0639225i
$127$	1.76563	+	10.0134i	0.156674	+	0.888543i	0.957239	+	0.289297i	$0.0934216\pi$
$127$	1.76563	+	10.0134i	0.156674	+	0.888543i	−0.800565	+	0.599246i	$0.795467\pi$
$128$	3.34896	−	10.8067i	0.296009	−	0.955185i
$129$	0.202816	+	0.241706i	0.0178569	+	0.0212810i
$130$	−23.9326	+	14.8539i	−2.09903	+	1.30277i
$131$	−5.05344	+	10.8371i	−0.441521	+	0.946845i	0.552068	+	0.833799i	$0.313839\pi$
$131$	−5.05344	+	10.8371i	−0.441521	+	0.946845i	−0.993590	+	0.113047i	$0.963939\pi$
$132$	11.1776	+	1.24350i	0.972888	+	0.108233i
$133$	2.03367	−	1.13241i	0.176341	−	0.0981923i
$134$	16.1181	+	0.893810i	1.39240	+	0.0772134i
$135$	1.09280	+	3.00244i	0.0940532	+	0.258409i
$136$	1.87805	−	0.894899i	0.161042	−	0.0767369i
$137$	−0.886803	−	1.05685i	−0.0757647	−	0.0902929i	0.726831	−	0.686817i	$-0.240993\pi$
$137$	−0.886803	−	1.05685i	−0.0757647	−	0.0902929i	−0.802595	+	0.596524i	$0.796548\pi$
$138$	7.88045	+	7.39351i	0.670829	+	0.629378i
$139$	−1.81298	+	2.58920i	−0.153775	+	0.219613i	−0.888646	−	0.458593i	$-0.848354\pi$
$139$	−1.81298	+	2.58920i	−0.153775	+	0.219613i	0.734871	+	0.678206i	$0.237242\pi$
$140$	−1.24224	+	3.17832i	−0.104989	+	0.268617i
$141$	−1.62893	−	6.07923i	−0.137180	−	0.511964i
$142$	5.39096	+	13.4606i	0.452399	+	1.12959i
$143$	−32.9398	−	11.9891i	−2.75457	−	1.00258i
$144$	2.93985	+	2.71244i	0.244987	+	0.226036i
$145$	17.6718	−	10.2028i	1.46756	−	0.847296i
$146$	−4.42847	+	5.63284i	−0.366503	+	0.466177i
$147$	0.585236	+	6.68928i	0.0482695	+	0.551723i
$148$	−4.29606	+	21.4063i	−0.353134	+	1.75959i
$149$	7.43507	+	10.6184i	0.609104	+	0.869891i	0.998694	−	0.0510976i	$-0.0162719\pi$
$149$	7.43507	+	10.6184i	0.609104	+	0.869891i	−0.389589	+	0.920989i	$0.627383\pi$
$150$	2.13234	+	7.05108i	0.174105	+	0.575718i
$151$		−	4.75700i		−	0.387120i	−0.981088	−	0.193560i	$-0.937997\pi$
$151$		−	4.75700i		−	0.387120i	0.981088	−	0.193560i	$-0.0620033\pi$
$152$	−0.986271	−	12.2893i	−0.0799972	−	0.996795i
$153$			0.735520i			0.0594633i
$154$	−4.06492	+	1.22928i	−0.327560	+	0.0990585i
$155$	1.64388	+	2.34770i	0.132040	+	0.188572i
$156$	−6.90876	−	10.3781i	−0.553143	−	0.830911i
$157$	1.81855	+	20.7861i	0.145136	+	1.65892i	0.624296	+	0.781188i	$0.285386\pi$
$157$	1.81855	+	20.7861i	0.145136	+	1.65892i	−0.479160	+	0.877727i	$0.659059\pi$
$158$	−3.15093	−	2.47723i	−0.250675	−	0.197078i
$159$	8.35057	−	4.82120i	0.662243	−	0.382346i
$160$	12.5850	+	12.9731i	0.994931	+	1.02561i
$161$	−3.83422	−	1.39554i	−0.302179	−	0.109984i
$162$	−1.31284	+	0.525789i	−0.103146	+	0.0413099i
$163$	1.11866	+	4.17488i	0.0876200	+	0.327002i	0.995797	−	0.0915832i	$-0.0291927\pi$
$163$	1.11866	+	4.17488i	0.0876200	+	0.327002i	−0.908177	+	0.418585i	$0.862526\pi$
$164$	−6.21688	+	2.72281i	−0.485457	+	0.212615i
$165$	−10.3055	+	14.7178i	−0.802285	+	1.14578i
$166$	1.99362	−	2.12492i	0.154735	−	0.164926i
$167$	−1.70682	−	2.03411i	−0.132078	−	0.157404i	0.695952	−	0.718088i	$-0.254983\pi$
$167$	−1.70682	−	2.03411i	−0.132078	−	0.157404i	−0.828030	+	0.560684i	$0.810538\pi$
$168$	−1.42358	−	0.504731i	−0.109831	−	0.0389409i
$169$	8.84424	+	24.2994i	0.680326	+	1.86918i
$170$	−0.184019	+	3.31842i	−0.0141136	+	0.254511i
$171$	4.07239	+	1.55424i	0.311423	+	0.118856i
$172$	−0.492821	+	0.394147i	−0.0375773	+	0.0300534i
$173$	0.523552	−	1.12276i	0.0398049	−	0.0853619i	−0.885400	−	0.464830i	$-0.846115\pi$
$173$	0.523552	−	1.12276i	0.0398049	−	0.0853619i	0.925205	+	0.379468i	$0.123893\pi$
$174$	4.76286	+	7.67392i	0.361071	+	0.581759i
$175$	−1.78797	−	2.13082i	−0.135158	−	0.161074i
$176$	−3.01223	+	22.2906i	−0.227055	+	1.68021i
$177$	1.12558	+	6.38349i	0.0846039	+	0.479813i
$178$	9.96637	+	3.27177i	0.747011	+	0.245229i
$179$	−15.6433	+	4.19160i	−1.16923	+	0.313295i	−0.790647	−	0.612272i	$-0.790256\pi$
$179$	−15.6433	+	4.19160i	−1.16923	+	0.313295i	−0.378585	+	0.925567i	$0.623589\pi$
$180$	−6.05464	+	2.04373i	−0.451286	+	0.152330i
$181$	7.29602	+	15.6464i	0.542309	+	1.16299i	0.966324	+	0.257330i	$0.0828428\pi$
$181$	7.29602	+	15.6464i	0.542309	+	1.16299i	−0.424014	+	0.905655i	$0.639379\pi$
$182$	3.94040	+	2.57598i	0.292082	+	0.190944i
$183$	0.170422	−	0.0983929i	0.0125979	−	0.00727341i
$184$	−15.1537	+	15.4087i	−1.11715	+	1.13594i
$185$	−26.7195	−	22.4204i	−1.96446	−	1.64838i
$186$	−1.01542	+	0.760348i	−0.0744540	+	0.0557514i
$187$	−3.38805	+	2.37234i	−0.247759	+	0.173483i
$188$	12.2317	−	2.97092i	0.892092	−	0.216677i
$189$	0.377602	−	0.377602i	0.0274665	−	0.0274665i
$190$	17.9844	+	8.03109i	1.30472	+	0.582637i
$191$		−	4.36534i		−	0.315865i	−0.987450	−	0.157933i	$-0.949517\pi$
$191$		−	4.36534i		−	0.315865i	0.987450	−	0.157933i	$-0.0504828\pi$
$192$	−5.56169	+	5.75044i	−0.401380	+	0.415003i
$193$	−1.33582	−	0.235541i	−0.0961542	−	0.0169546i	0.125364	−	0.992111i	$-0.459990\pi$
$193$	−1.33582	−	0.235541i	−0.0961542	−	0.0169546i	−0.221518	+	0.975156i	$0.571101\pi$
$194$	10.6454	+	1.52909i	0.764293	+	0.109782i
$195$	19.8417	−	1.73592i	1.42089	−	0.124312i
$196$	−13.4024	+	0.855416i	−0.957314	+	0.0611012i
$197$	19.7182	+	5.28347i	1.40486	+	0.376432i	0.880088	−	0.474810i	$-0.157483\pi$
$197$	19.7182	+	5.28347i	1.40486	+	0.376432i	0.524774	+	0.851242i	$0.324150\pi$
$198$	−6.65637	−	4.35150i	−0.473048	−	0.309247i
$199$	11.6859	+	4.25331i	0.828390	+	0.301509i	0.721198	−	0.692729i	$-0.243592\pi$
$199$	11.6859	+	4.25331i	0.828390	+	0.301509i	0.107192	+	0.994238i	$0.465814\pi$
$200$	−14.1986	+	3.93174i	−1.00399	+	0.278016i
$201$	−9.88547	−	5.70738i	−0.697267	−	0.402568i
$202$	11.4374	−	5.78398i	0.804736	−	0.406960i
$203$	−2.79366	−	1.95614i	−0.196077	−	0.137294i
$204$	−1.47063	−	0.0346064i	−0.102965	−	0.00242293i
$205$	0.945000	−	10.8014i	0.0660017	−	0.754403i
$206$	−14.0169	+	8.69964i	−0.976602	+	0.606132i
$207$	−2.61333	−	7.18006i	−0.181639	−	0.499049i
$208$	21.0755	−	13.3254i	1.46132	−	0.923950i
$209$	5.97566	+	23.7718i	0.413345	+	1.64433i
$210$	1.79808	−	1.60914i	0.124080	−	0.111041i
$211$	14.5233	+	6.77231i	0.999824	+	0.466225i	0.852424	−	0.522852i	$-0.175132\pi$
$211$	14.5233	+	6.77231i	0.999824	+	0.466225i	0.147400	+	0.989077i	$0.452910\pi$
$212$	9.24684	+	16.9234i	0.635076	+	1.16230i
$213$	0.893615	−	10.2141i	0.0612295	−	0.699856i
$214$	13.9103	−	14.8264i	0.950885	−	1.01351i
$215$	−0.175062	−	0.992828i	−0.0119392	−	0.0677103i
$216$	−0.989518	−	2.64969i	−0.0673281	−	0.180289i
$217$	0.239502	−	0.414829i	0.0162584	−	0.0281605i
$218$	8.34930	−	19.5048i	0.565486	−	1.32103i
$219$	4.59187	−	2.14122i	0.310290	−	0.144690i
$220$	−28.9426	−	21.2978i	−1.95131	−	1.43590i
$221$	4.42877	+	1.18669i	0.297911	+	0.0798251i
$222$	9.54171	−	12.1367i	0.640398	−	0.814560i
$223$	−0.170697	−	0.143232i	−0.0114307	−	0.00959151i	0.637054	−	0.770819i	$-0.280153\pi$
$223$	−0.170697	−	0.143232i	−0.0114307	−	0.00959151i	−0.648485	+	0.761227i	$0.724597\pi$
$224$	1.07616	−	2.82262i	0.0719041	−	0.188594i
$225$	0.904510	−	5.12973i	0.0603007	−	0.341982i
$226$	−9.25193	−	4.95544i	−0.615429	−	0.329631i
$227$	16.1465	+	16.1465i	1.07168	+	1.07168i	0.997224	+	0.0744594i	$0.0237231\pi$
$227$	16.1465	+	16.1465i	1.07168	+	1.07168i	0.0744594	+	0.997224i	$0.476277\pi$
$228$	−3.29923	+	8.06939i	−0.218497	+	0.534408i
$229$	−10.8563	+	10.8563i	−0.717404	+	0.717404i	−0.968073	−	0.250669i	$-0.919350\pi$
$229$	−10.8563	+	10.8563i	−0.717404	+	0.717404i	0.250669	+	0.968073i	$0.419350\pi$
$230$	−9.99410	−	33.0479i	−0.658991	−	2.17911i
$231$	2.95727	+	0.521446i	0.194574	+	0.0343086i
$232$	−15.5677	+	9.16201i	−1.02207	+	0.601516i
$233$	−18.7494	+	22.3446i	−1.22831	+	1.46385i	−0.388074	+	0.921628i	$0.626860\pi$
$233$	−18.7494	+	22.3446i	−1.22831	+	1.46385i	−0.840238	+	0.542217i	$0.817585\pi$
$234$	1.04779	+	8.75327i	0.0684963	+	0.572219i
$235$	−5.20463	+	19.4240i	−0.339513	+	1.26708i
$236$	−12.8164	+	1.95020i	−0.834277	+	0.126947i
$237$	1.19777	+	2.56863i	0.0778037	+	0.166850i
$238$	0.515650	−	0.206517i	0.0334246	−	0.0133865i
$239$	−23.2316	−	13.4128i	−1.50273	−	0.867601i	−0.999995	−	0.00315963i	$-0.998994\pi$
$239$	−23.2316	−	13.4128i	−1.50273	−	0.867601i	−0.502734	−	0.864441i	$-0.667672\pi$
$240$	−3.80145	−	12.2021i	−0.245383	−	0.787641i
$241$	−17.7285	+	3.12601i	−1.14199	+	0.201364i	−0.712477	−	0.701696i	$-0.752427\pi$
$241$	−17.7285	+	3.12601i	−1.14199	+	0.201364i	−0.429515	+	0.903060i	$0.641315\pi$
$242$	−0.929258	−	29.1483i	−0.0597349	−	1.87372i
$243$	0.996195	+	0.0871557i	0.0639059	+	0.00559104i
$244$	0.188713	+	0.345378i	0.0120811	+	0.0221106i
$245$	9.06718	−	19.4446i	0.579281	−	1.24227i
$246$	4.79177	+	0.265721i	0.305512	+	0.0169417i
$247$	15.9289	−	22.0134i	1.01353	−	1.40068i
$248$	−1.47250	−	2.06605i	−0.0935038	−	0.131194i
$249$	−1.93607	+	0.704670i	−0.122693	+	0.0446567i
$250$	0.215095	−	0.918936i	0.0136038	−	0.0581186i
$251$	2.01474	+	0.176267i	0.127169	+	0.0111259i	0.150563	−	0.988600i	$-0.451891\pi$
$251$	2.01474	+	0.176267i	0.127169	+	0.0111259i	−0.0233933	+	0.999726i	$0.507447\pi$
$252$	0.737228	+	0.772760i	0.0464410	+	0.0486793i
$253$	24.6447	−	35.1963i	1.54940	−	2.21277i
$254$	13.6622	+	4.48502i	0.857240	+	0.281415i
$255$	1.17504	−	2.03523i	0.0735840	−	0.127451i
$256$	−11.2360	−	11.3909i	−0.702252	−	0.711929i
$257$	−1.13768	+	3.12576i	−0.0709667	+	0.194979i	−0.970105	−	0.242685i	$-0.921972\pi$
$257$	−1.13768	+	3.12576i	−0.0709667	+	0.194979i	0.899139	+	0.437664i	$0.144194\pi$
$258$	0.436749	−	0.0914483i	0.0271908	−	0.00569332i
$259$	−1.50880	+	5.63091i	−0.0937522	+	0.349888i
$260$	2.53732	+	39.7540i	0.157358	+	2.46544i
$261$	−0.556617	−	6.36216i	−0.0344537	−	0.393808i
$262$	10.1359	+	13.5361i	0.626196	+	0.836263i
$263$	0.209007	−	1.18534i	0.0128879	−	0.0730910i	−0.977685	−	0.210074i	$-0.932629\pi$
$263$	0.209007	−	1.18534i	0.0128879	−	0.0730910i	0.990573	+	0.136983i	$0.0437406\pi$
$264$	9.01377	−	13.1043i	0.554759	−	0.806515i
$265$	−30.8087			−1.89257
$266$	−0.0537982	−	3.29141i	−0.00329858	−	0.201810i
$267$	−5.24483	−	5.24483i	−0.320978	−	0.320978i
$268$	11.8767	−	19.4969i	0.725486	−	1.19097i
$269$	−11.6584	−	16.6500i	−0.710828	−	1.01517i	−0.998352	−	0.0573937i	$-0.981721\pi$
$269$	−11.6584	−	16.6500i	−0.710828	−	1.01517i	0.287524	−	0.957773i	$-0.407168\pi$
$270$	4.47269	+	0.642454i	0.272199	+	0.0390985i
$271$	−4.30601	+	5.13170i	−0.261571	+	0.311729i	−0.880806	−	0.473477i	$-0.842999\pi$
$271$	−4.30601	+	5.13170i	−0.261571	+	0.311729i	0.619235	+	0.785206i	$0.287443\pi$
$272$	0.138387	−	2.93883i	0.00839097	−	0.178192i
$273$	−1.66442	−	2.88286i	−0.100735	−	0.174479i
$274$	−1.90967	+	0.399854i	−0.115367	+	0.0241561i
$275$	26.5466	−	12.3789i	1.60082	−	0.746476i
$276$	14.4791	−	4.88739i	0.871540	−	0.294186i
$277$	−4.90107	−	18.2910i	−0.294477	−	1.09900i	−0.941632	−	0.336644i	$-0.890708\pi$
$277$	−4.90107	−	18.2910i	−0.294477	−	1.09900i	0.647155	−	0.762358i	$-0.275959\pi$
$278$	2.01727	+	3.98903i	0.120988	+	0.239246i
$279$	0.883368	−	0.155762i	0.0528859	−	0.00932520i
$280$	3.13279	+	3.67088i	0.187220	+	0.219377i
$281$	8.85473	−	7.43000i	0.528229	−	0.443237i	−0.339260	−	0.940693i	$-0.610177\pi$
$281$	8.85473	−	7.43000i	0.528229	−	0.443237i	0.867489	+	0.497456i	$0.165732\pi$
$282$	−8.66637	−	2.02853i	−0.516075	−	0.120797i
$283$	3.15742	+	1.47233i	0.187689	+	0.0875208i	0.514191	−	0.857676i	$-0.328092\pi$
$283$	3.15742	+	1.47233i	0.187689	+	0.0875208i	−0.326502	+	0.945196i	$0.605870\pi$
$284$	20.3804	+	2.26731i	1.20936	+	0.134540i
$285$	−8.78555	−	10.8066i	−0.520411	−	0.640128i
$286$	−36.9409	+	33.0592i	−2.18436	+	1.95483i
$287$	−1.70287	+	0.619794i	−0.100517	+	0.0365853i
$288$	5.34447	−	1.85382i	0.314926	−	0.109237i
$289$	−12.6083	+	10.5796i	−0.741667	+	0.622332i
$290$	−0.919533	−	28.8432i	−0.0539968	−	1.69373i
$291$	−6.22938	−	4.36186i	−0.365173	−	0.255697i
$292$	4.06521	+	9.28194i	0.237899	+	0.543185i
$293$	19.7819	−	5.30053i	1.15567	−	0.309660i	0.370434	−	0.928859i	$-0.379209\pi$
$293$	19.7819	−	5.30053i	1.15567	−	0.309660i	0.785234	+	0.619199i	$0.212542\pi$
$294$	8.73000	+	3.73699i	0.509144	+	0.217946i
$295$	7.08349	−	19.4617i	0.412417	−	1.13311i
$296$	23.8177	+	19.6492i	1.38438	+	1.14208i
$297$	2.81165	+	4.86991i	0.163148	+	0.282581i
$298$	18.2020	−	2.17883i	1.05441	−	0.126216i
$299$	−47.4495	+	4.15129i	−2.74407	+	0.240075i
$300$	10.2141	+	2.04987i	0.589709	+	0.118350i
$301$	−0.138022	+	0.0966438i	−0.00795543	+	0.00557045i
$302$	−5.93034	−	3.17636i	−0.341253	−	0.182779i
$303$	−9.06283			−0.520646
$304$	−15.9791	−	6.97631i	−0.916463	−	0.400119i
$305$	−0.628757			−0.0360025
$306$	0.916940	+	0.491123i	0.0524180	+	0.0280757i
$307$	18.0124	−	12.6124i	1.02802	−	0.719830i	0.0674123	−	0.997725i	$-0.478526\pi$
$307$	18.0124	−	12.6124i	1.02802	−	0.719830i	0.960611	+	0.277895i	$0.0896368\pi$
$308$	−1.18174	+	5.88837i	−0.0673361	+	0.335521i
$309$	11.6209	−	1.01669i	0.661088	−	0.0578377i
$310$	4.02443	−	0.481736i	0.228572	−	0.0273608i
$311$	−4.20973	−	7.29146i	−0.238712	−	0.413461i	0.721633	−	0.692276i	$-0.243392\pi$
$311$	−4.20973	−	7.29146i	−0.238712	−	0.413461i	−0.960345	+	0.278815i	$0.910058\pi$
$312$	−17.5510	+	1.68316i	−0.993630	+	0.0952902i
$313$	−1.48206	+	4.07192i	−0.0837708	+	0.230158i	−0.974505	−	0.224367i	$-0.927969\pi$
$313$	−1.48206	+	4.07192i	−0.0837708	+	0.230158i	0.890734	+	0.454525i	$0.150191\pi$
$314$	27.1274	+	11.6123i	1.53089	+	0.655318i
$315$	−1.64809	+	0.441605i	−0.0928594	+	0.0248816i
$316$	−5.19220	+	2.27403i	−0.292084	+	0.127924i
$317$	10.2068	+	7.14687i	0.573271	+	0.401408i	0.823951	−	0.566662i	$-0.191765\pi$
$317$	10.2068	+	7.14687i	0.573271	+	0.401408i	−0.250680	+	0.968070i	$0.580654\pi$
$318$	−0.434513	−	13.6295i	−0.0243663	−	0.764304i
$319$	27.5109	−	23.0844i	1.54032	−	1.29248i
$320$	24.5763	−	7.02669i	1.37386	−	0.392804i
$321$	−13.5087	+	4.91675i	−0.753980	+	0.274426i
$322$	−4.29995	+	3.84811i	−0.239627	+	0.214447i
$323$	−1.04963	−	3.02937i	−0.0584030	−	0.168559i
$324$	−0.221134	+	1.98774i	−0.0122852	+	0.110430i
$325$	−29.4282	−	13.7226i	−1.63238	−	0.761193i
$326$	5.95159	+	1.39308i	0.329628	+	0.0771558i
$327$	−11.4926	+	9.64340i	−0.635540	+	0.533281i
$328$	−0.756748	+	9.56838i	−0.0417844	+	0.528325i
$329$	3.30983	−	0.583612i	0.182477	−	0.0321756i
$330$	11.4668	+	22.6749i	0.631227	+	1.24821i
$331$	7.36928	+	27.5025i	0.405052	+	1.51168i	0.803959	+	0.594684i	$0.202723\pi$
$331$	7.36928	+	27.5025i	0.405052	+	1.51168i	−0.398907	+	0.916991i	$0.630610\pi$
$332$	−1.31786	−	3.90422i	−0.0723269	−	0.214272i
$333$	−9.89377	+	4.61354i	−0.542175	+	0.252821i
$334$	−3.67551	+	0.769595i	−0.201115	+	0.0421104i
$335$	18.2358	+	31.5854i	0.996330	+	1.72569i
$336$	−1.57978	+	1.43769i	−0.0861840	+	0.0784324i
$337$	−11.9189	+	14.2044i	−0.649265	+	0.773764i	−0.985803	−	0.167906i	$-0.946299\pi$
$337$	−11.9189	+	14.2044i	−0.649265	+	0.773764i	0.336538	+	0.941670i	$0.390744\pi$
$338$	36.1984	+	5.19951i	1.96893	+	0.282816i
$339$	4.25674	+	6.07926i	0.231195	+	0.330180i
$340$	4.01405	+	2.44519i	0.217693	+	0.132609i
$341$	3.56669	+	3.56669i	0.193147	+	0.193147i
$342$	4.65683	−	4.03905i	0.251812	−	0.218407i
$343$	−7.32385			−0.395451
$344$	0.162297	+	0.877558i	0.00875046	+	0.0473148i
$345$	−4.23937	+	24.0427i	−0.228240	+	1.29441i
$346$	−1.05011	−	1.40238i	−0.0564541	−	0.0753924i
$347$	−1.13358	−	12.9569i	−0.0608536	−	0.695560i	−0.963943	−	0.266108i	$-0.914262\pi$
$347$	−1.13358	−	12.9569i	−0.0608536	−	0.695560i	0.903090	−	0.429452i	$-0.141293\pi$
$348$	12.7470	−	0.813585i	0.683311	−	0.0436127i
$349$	6.02141	−	22.4722i	0.322319	−	1.20291i	−0.594662	−	0.803976i	$-0.702714\pi$
$349$	6.02141	−	22.4722i	0.322319	−	1.20291i	0.916980	−	0.398933i	$-0.130619\pi$
$350$	−3.85025	+	0.806183i	−0.205805	+	0.0430923i
$351$	2.13205	−	5.85775i	0.113800	−	0.312663i
$352$	25.7773	+	18.6391i	1.37393	+	0.993468i
$353$	5.39051	−	9.33665i	0.286908	−	0.496940i	−0.686162	−	0.727449i	$-0.740706\pi$
$353$	5.39051	−	9.33665i	0.286908	−	0.496940i	0.973070	+	0.230509i	$0.0740392\pi$
$354$	8.70959	+	2.85919i	0.462909	+	0.151964i
$355$	−18.7903	+	26.8354i	−0.997287	+	1.42427i
$356$	10.7335	−	10.2400i	0.568876	−	0.542718i
$357$	−0.391280	−	0.0342326i	−0.0207087	−	0.00181178i
$358$	−5.21988	+	22.3006i	−0.275879	+	1.17862i
$359$	26.4504	−	9.62716i	1.39600	−	0.508102i	0.469011	−	0.883192i	$-0.344610\pi$
$359$	26.4504	−	9.62716i	1.39600	−	0.508102i	0.926988	+	0.375090i	$0.122388\pi$
$360$	−1.49499	+	8.91268i	−0.0787931	+	0.469740i
$361$	−18.9908	−	0.589894i	−0.999518	−	0.0310470i
$362$	24.3773	+	1.35181i	1.28124	+	0.0710496i
$363$	−8.71498	+	18.6893i	−0.457418	+	0.980936i
$364$	5.84245	−	3.19228i	0.306227	−	0.167321i
$365$	−16.1267	−	1.41091i	−0.844112	−	0.0738503i
$366$	−0.00886771	−	0.278156i	−0.000463523	−	0.0145394i
$367$	−30.5723	+	5.39073i	−1.59586	+	0.281394i	−0.899706	−	0.436496i	$-0.856219\pi$
$367$	−30.5723	+	5.39073i	−1.59586	+	0.281394i	−0.696157	+	0.717890i	$0.745108\pi$
$368$	9.09082	+	29.1802i	0.473892	+	1.52112i
$369$	−2.93885	−	1.69675i	−0.152991	−	0.0883292i
$370$	−45.7917	+	18.3395i	−2.38060	+	0.953423i
$371$	2.17612	+	4.66670i	0.112978	+	0.242283i
$372$	0.269874	+	1.77358i	0.0139923	+	0.0919556i
$373$	5.52227	−	20.6094i	0.285933	−	1.06711i	−0.662223	−	0.749307i	$-0.730387\pi$
$373$	5.52227	−	20.6094i	0.285933	−	1.06711i	0.948155	−	0.317808i	$-0.102947\pi$
$374$	0.695209	+	5.80779i	0.0359484	+	0.300314i
$375$	−0.428964	+	0.511219i	−0.0221516	+	0.0263992i
$376$	4.46370	−	17.2325i	0.230198	−	0.888699i
$377$	−39.2064	−	6.91315i	−2.01923	−	0.356045i
$378$	−0.218606	−	0.722872i	−0.0112439	−	0.0371805i
$379$	−8.24633	+	8.24633i	−0.423586	+	0.423586i	−0.886436	−	0.462851i	$-0.846827\pi$
$379$	−8.24633	+	8.24633i	−0.423586	+	0.423586i	0.462851	+	0.886436i	$0.346827\pi$
$380$	22.0206	−	17.0578i	1.12963	−	0.875046i
$381$	−7.18975	−	7.18975i	−0.368342	−	0.368342i
$382$	−5.44207	−	2.91484i	−0.278441	−	0.149136i
$383$	−5.66412	+	32.1228i	−0.289423	+	1.64140i	0.399622	+	0.916680i	$0.369141\pi$
$383$	−5.66412	+	32.1228i	−0.289423	+	1.64140i	−0.689045	+	0.724718i	$0.741970\pi$
$384$	3.45515	+	10.7732i	0.176320	+	0.549768i
$385$	−7.34991	−	6.16731i	−0.374586	−	0.314315i
$386$	−1.18559	+	1.50803i	−0.0603451	+	0.0767565i
$387$	−0.304774	−	0.0816639i	−0.0154925	−	0.00415121i
$388$	9.01440	−	12.2501i	0.457637	−	0.621904i
$389$	−12.1384	+	5.66024i	−0.615443	+	0.286986i	−0.705234	−	0.708975i	$-0.749158\pi$
$389$	−12.1384	+	5.66024i	−0.615443	+	0.286986i	0.0897909	+	0.995961i	$0.471380\pi$
$390$	11.0846	−	25.8948i	0.561292	−	1.31123i
$391$	−2.81000	+	4.86707i	−0.142108	+	0.246138i
$392$	−7.88267	+	17.2793i	−0.398135	+	0.872738i
$393$	−2.07639	−	11.7758i	−0.104740	−	0.594011i
$394$	19.7529	−	21.0539i	0.995138	−	1.06068i
$395$	0.789243	−	9.02109i	0.0397111	−	0.453900i
$396$	−9.86942	+	5.39260i	−0.495957	+	0.270989i
$397$	−20.3824	−	9.50445i	−1.02296	−	0.477015i	−0.162596	−	0.986693i	$-0.551987\pi$
$397$	−20.3824	−	9.50445i	−1.02296	−	0.477015i	−0.860365	+	0.509678i	$0.829765\pi$
$398$	13.1053	−	11.7282i	0.656911	−	0.587883i
$399$	−1.01636	+	2.09408i	−0.0508816	+	0.104835i
$400$	−4.57919	+	20.3260i	−0.228959	+	1.01630i
$401$	2.33805	+	6.42373i	0.116757	+	0.320786i	0.984281	−	0.176608i	$-0.0565125\pi$
$401$	2.33805	+	6.42373i	0.116757	+	0.320786i	−0.867525	+	0.497394i	$0.834290\pi$
$402$	−13.7159	+	8.51282i	−0.684086	+	0.424581i
$403$	0.487339	−	5.57031i	0.0242761	−	0.277477i
$404$	0.426408	−	18.1206i	0.0212146	−	0.901535i
$405$	−2.61730	−	1.83265i	−0.130055	−	0.0910652i
$406$	−4.30402	+	2.17657i	−0.213605	+	0.108021i
$407$	−53.1628	−	30.6935i	−2.63518	−	1.52142i
$408$	−1.02512	+	1.81026i	−0.0507509	+	0.0896214i
$409$	−18.4143	−	6.70226i	−0.910529	−	0.331406i	−0.156065	−	0.987747i	$-0.549881\pi$
$409$	−18.4143	−	6.70226i	−0.910529	−	0.331406i	−0.754464	+	0.656341i	$0.772103\pi$
$410$	−12.8346	−	8.39043i	−0.633857	−	0.414374i
$411$	1.33261	+	0.357072i	0.0657329	+	0.0176131i
$412$	1.48606	+	23.2831i	0.0732130	+	1.14708i
$413$	−3.44826	+	0.301684i	−0.169678	+	0.0148449i
$414$	−10.6960	−	1.53637i	−0.525681	−	0.0755084i
$415$	6.48298	+	1.14312i	0.318237	+	0.0561137i
$416$	−2.53961	−	35.1715i	−0.124515	−	1.72442i
$417$		−	3.16083i		−	0.154787i
$418$	33.6253	+	8.42337i	1.64467	+	0.412001i
$419$	−14.5268	+	14.5268i	−0.709682	+	0.709682i	−0.966468	−	0.256786i	$-0.917336\pi$
$419$	−14.5268	+	14.5268i	−0.709682	+	0.709682i	0.256786	+	0.966468i	$0.417336\pi$
$420$	−0.805422	−	3.31605i	−0.0393006	−	0.161807i
$421$	11.6502	−	8.15759i	0.567798	−	0.397576i	−0.254128	−	0.967171i	$-0.581788\pi$
$421$	11.6502	−	8.15759i	0.567798	−	0.397576i	0.821926	+	0.569594i	$0.192900\pi$
$422$	18.1402	−	13.5835i	0.883053	−	0.661233i
$423$	4.82124	+	4.04550i	0.234417	+	0.196699i
$424$	27.2719	−	0.227515i	1.32444	−	0.0110491i
$425$	−3.31794	+	1.91561i	−0.160944	+	0.0929209i
$426$	−12.1367	−	7.93419i	−0.588026	−	0.384413i
$427$	0.0444110	+	0.0952398i	0.00214920	+	0.00460897i
$428$	−9.19520	−	27.2412i	−0.444467	−	1.31675i
$429$	33.8594	−	9.07260i	1.63475	−	0.438029i
$430$	−1.35461	−	0.444691i	−0.0653249	−	0.0214449i
$431$	−4.18901	−	23.7571i	−0.201778	−	1.14434i	−0.902431	−	0.430835i	$-0.858219\pi$
$431$	−4.18901	−	23.7571i	−0.201778	−	1.14434i	0.700653	−	0.713502i	$-0.252892\pi$
$432$	−3.96397	−	0.535670i	−0.190717	−	0.0257724i
$433$	−2.02231	−	2.41010i	−0.0971862	−	0.115822i	0.715259	−	0.698859i	$-0.246309\pi$
$433$	−2.02231	−	2.41010i	−0.0971862	−	0.115822i	−0.812445	+	0.583037i	$0.801864\pi$
$434$	−0.357228	−	0.575567i	−0.0171475	−	0.0276281i
$435$	−8.62378	+	18.4938i	−0.413479	+	0.886708i
$436$	−18.7407	−	23.4325i	−0.897518	−	1.12221i
$437$	21.0098	+	25.8430i	1.00504	+	1.23624i
$438$	0.396727	−	7.15422i	0.0189564	−	0.341842i
$439$	−11.7965	−	32.4105i	−0.563014	−	1.54687i	−0.815194	−	0.579188i	$-0.803370\pi$
$439$	−11.7965	−	32.4105i	−0.563014	−	1.54687i	0.252180	−	0.967680i	$-0.418852\pi$
$440$	−45.8767	+	21.8604i	−2.18709	+	1.04215i
$441$	−4.31621	−	5.14386i	−0.205534	−	0.244946i
$442$	4.43658	−	4.72877i	0.211026	−	0.224925i
$443$	6.14448	−	8.77523i	0.291933	−	0.416924i	−0.646216	−	0.763154i	$-0.723650\pi$
$443$	6.14448	−	8.77523i	0.291933	−	0.416924i	0.938149	+	0.346231i	$0.112539\pi$
$444$	−8.75903	−	19.9991i	−0.415685	−	0.949117i
$445$	6.13383	+	22.8918i	0.290771	+	1.08517i
$446$	−0.292539	+	0.117161i	−0.0138521	+	0.00554774i
$447$	−12.1809	−	4.43348i	−0.576137	−	0.209697i
$448$	−2.80025	−	3.22633i	−0.132300	−	0.152430i
$449$	0.351308	−	0.202828i	0.0165793	−	0.00957203i	−0.491687	−	0.870772i	$-0.663620\pi$
$449$	0.351308	−	0.202828i	0.0165793	−	0.00957203i	0.508267	+	0.861200i	$0.330286\pi$
$450$	−5.79104	−	4.55285i	−0.272992	−	0.214623i
$451$	−1.66316	−	19.0100i	−0.0783151	−	0.895146i
$452$	−12.3554	+	8.22510i	−0.581151	+	0.386876i
$453$	2.72851	+	3.89671i	0.128196	+	0.183083i
$454$	30.9106	−	9.34775i	1.45070	−	0.438712i
$455$			10.6361i			0.498628i
$456$	7.85677	+	9.50112i	0.367927	+	0.444931i
$457$		−	11.9904i		−	0.560885i	−0.959871	−	0.280443i	$-0.909519\pi$
$457$		−	11.9904i		−	0.560885i	0.959871	−	0.280443i	$-0.0904812\pi$
$458$	6.28506	+	20.7830i	0.293682	+	0.971128i
$459$	−0.421877	−	0.602503i	−0.0196915	−	0.0281224i
$460$	−47.8725	−	9.60761i	−2.23207	−	0.447957i
$461$	0.0953744	+	1.09013i	0.00444203	+	0.0507726i	0.998092	−	0.0617411i	$-0.0196653\pi$
$461$	0.0953744	+	1.09013i	0.00444203	+	0.0507726i	−0.993650	+	0.112514i	$0.964110\pi$
$462$	2.62470	−	3.33851i	0.122112	−	0.155322i
$463$	22.9946	−	13.2759i	1.06865	−	0.616986i	0.140838	−	0.990033i	$-0.455020\pi$
$463$	22.9946	−	13.2759i	1.06865	−	0.616986i	0.927812	+	0.373047i	$0.121687\pi$
$464$	1.02697	+	25.5252i	0.0476759	+	1.18498i
$465$	−2.69318	−	0.980236i	−0.124893	−	0.0454573i
$466$	15.3367	+	38.2940i	0.710457	+	1.77394i
$467$	−0.686044	−	2.56035i	−0.0317463	−	0.118479i	0.948234	−	0.317571i	$-0.102867\pi$
$467$	−0.686044	−	2.56035i	−0.0317463	−	0.118479i	−0.979981	+	0.199092i	$0.936201\pi$
$468$	11.6119	+	4.53852i	0.536762	+	0.209793i
$469$	3.49629	−	4.99321i	0.161443	−	0.230565i
$470$	20.7397	+	19.4582i	0.956651	+	0.897539i
$471$	−13.4121	−	15.9839i	−0.617998	−	0.736501i
$472$	−6.12658	+	17.2798i	−0.281999	+	0.795368i
$473$	−0.606843	−	1.66729i	−0.0279027	−	0.0766619i
$474$	4.00197	+	0.221924i	0.183817	+	0.0101933i
$475$	3.59504	+	22.4185i	0.164952	+	1.02863i
$476$	0.0868560	−	0.780733i	0.00398104	−	0.0357848i
$477$	−4.07506	+	8.73899i	−0.186584	+	0.400131i
$478$	−32.2334	+	20.0058i	−1.47432	+	0.915044i
$479$	9.71629	+	11.5794i	0.443949	+	0.529077i	0.940893	−	0.338705i	$-0.109989\pi$
$479$	9.71629	+	11.5794i	0.443949	+	0.529077i	−0.496944	+	0.867783i	$0.665545\pi$
$480$	−17.7501	−	3.40850i	−0.810177	−	0.155576i
$481$	11.8168	+	67.0166i	0.538802	+	3.05570i
$482$	−7.94065	+	24.1886i	−0.361687	+	1.10176i
$483$	3.94126	−	1.05606i	0.179333	−	0.0480523i
$484$	−36.9583	−	18.3045i	−1.67992	−	0.832022i
$485$	10.2687	+	22.0214i	0.466280	+	0.999940i
$486$	0.773834	−	1.18371i	0.0351018	−	0.0536944i
$487$	19.9172	−	11.4992i	0.902535	−	0.521079i	0.0245135	−	0.999699i	$-0.492196\pi$
$487$	19.9172	−	11.4992i	0.902535	−	0.521079i	0.878022	+	0.478620i	$0.158863\pi$
$488$	0.556575	−	0.00464321i	0.0251950	−	0.000210188i
$489$	−3.31096	−	2.77823i	−0.149727	−	0.125636i
$490$	−18.1864	−	24.2873i	−0.821577	−	1.09719i
$491$	−10.5542	+	7.39015i	−0.476305	+	0.333513i	−0.786953	−	0.617012i	$-0.788343\pi$
$491$	−10.5542	+	7.39015i	−0.476305	+	0.333513i	0.310648	+	0.950525i	$0.399454\pi$
$492$	3.53083	−	5.79625i	0.159182	−	0.261315i
$493$	−3.32155	+	3.32155i	−0.149595	+	0.149595i
$494$	−16.8070	−	34.5566i	−0.756181	−	1.55478i
$495$		−	17.9672i		−	0.807564i
$496$	−3.55887	+	0.456152i	−0.159798	+	0.0204818i
$497$	5.39206	+	0.950765i	0.241867	+	0.0426476i
$498$	−0.414274	+	2.88413i	−0.0185641	+	0.129241i
$499$	−12.8585	+	1.12497i	−0.575626	+	0.0503608i	−0.371252	−	0.928532i	$-0.621071\pi$
$499$	−12.8585	+	1.12497i	−0.575626	+	0.0503608i	−0.204374	+	0.978893i	$0.565516\pi$
$500$	−1.00197	−	0.881743i	−0.0448096	−	0.0394328i
$501$	2.56486	+	0.687253i	0.114590	+	0.0307042i
$502$	1.56503	−	2.39399i	0.0698508	−	0.106849i
$503$	−32.4896	−	11.8252i	−1.44864	−	0.527261i	−0.506427	−	0.862283i	$-0.669034\pi$
$503$	−32.4896	−	11.8252i	−1.44864	−	0.527261i	−0.942210	+	0.335022i	$0.891256\pi$
$504$	1.45563	−	0.403079i	0.0648388	−	0.0179546i
$505$	25.0774	+	14.4785i	1.11593	+	0.644283i
$506$	−27.4218	−	54.2248i	−1.21905	−	2.41059i
$507$	−21.1823	−	14.8320i	−0.940740	−	0.658713i
$508$	14.7138	−	14.0372i	0.652819	−	0.622802i
$509$	−0.312485	+	3.57172i	−0.0138507	+	0.158314i	−0.999970	−	0.00772328i	$-0.997542\pi$
$509$	−0.312485	+	3.57172i	−0.0138507	+	0.158314i	0.986120	+	0.166037i	$0.0530971\pi$
$510$	−1.75263	−	2.82384i	−0.0776078	−	0.125042i
$511$	0.925367	+	2.54243i	0.0409358	+	0.112470i
$512$	−21.7030	+	6.40151i	−0.959147	+	0.282910i
$513$	−4.22738	+	1.06266i	−0.186643	+	0.0469177i
$514$	3.13708	+	3.50543i	0.138371	+	0.154618i
$515$	−33.7799	−	15.7518i	−1.48852	−	0.694109i
$516$	0.177622	−	0.605537i	0.00781938	−	0.0266573i
$517$	−3.08455	+	35.2566i	−0.135658	+	1.55058i
$518$	6.01234	+	5.64084i	0.264167	+	0.247844i
$519$	0.215120	+	1.22001i	0.00944274	+	0.0535524i
$520$	51.2537	+	23.3815i	2.24762	+	1.02534i
$521$	15.8942	−	27.5295i	0.696336	−	1.20609i	−0.273392	−	0.961903i	$-0.588146\pi$
$521$	15.8942	−	27.5295i	0.696336	−	1.20609i	0.969728	−	0.244187i	$-0.0785212\pi$
$522$	−8.30308	−	3.55425i	−0.363416	−	0.155565i
$523$	−10.7653	+	5.01994i	−0.470734	+	0.219507i	−0.643485	−	0.765459i	$-0.722512\pi$
$523$	−10.7653	+	5.01994i	−0.470734	+	0.219507i	0.172751	+	0.984965i	$0.444734\pi$
$524$	23.6428	−	3.59758i	1.03284	−	0.157161i
$525$	2.68680	+	0.719926i	0.117262	+	0.0314202i
$526$	−1.33815	−	1.05203i	−0.0583460	−	0.0458709i
$527$	−0.505404	−	0.424084i	−0.0220158	−	0.0184734i
$528$	−10.3179	−	19.9871i	−0.449027	−	0.869827i
$529$	6.14415	−	34.8452i	0.267137	−	1.51501i
$530$	−20.5717	+	38.4079i	−0.893577	+	1.66833i
$531$	−4.58344	−	4.58344i	−0.198905	−	0.198905i
$532$	−4.13918	−	2.13068i	−0.179456	−	0.0923768i
$533$	−14.9581	+	14.9581i	−0.647908	+	0.647908i
$534$	−10.0406	+	3.03640i	−0.434498	+	0.131398i
$535$	45.2342	+	7.97601i	1.95564	+	0.344833i
$536$	−16.3756	−	27.8247i	−0.707318	−	1.20184i
$537$	10.4100	−	12.4062i	0.449225	−	0.535365i
$538$	−28.5414	+	3.41649i	−1.23051	+	0.147295i
$539$	9.77287	−	36.4728i	0.420947	−	1.57100i
$540$	3.78743	−	5.14692i	0.162985	−	0.221488i
$541$	−5.30274	−	11.3718i	−0.227983	−	0.488911i	0.758726	−	0.651410i	$-0.225822\pi$
$541$	−5.30274	−	11.3718i	−0.227983	−	0.488911i	−0.986709	+	0.162499i	$0.948044\pi$
$542$	3.52224	+	8.79466i	0.151293	+	0.377763i
$543$	−14.9509	−	8.63193i	−0.641606	−	0.370432i
$544$	−3.57129	−	2.13484i	−0.153118	−	0.0915305i
$545$	47.2066	−	8.32380i	2.02211	−	0.356552i
$546$	−4.70531	+	0.150007i	−0.201369	+	0.00641971i
$547$	27.3786	+	2.39532i	1.17062	+	0.102416i	0.655838	−	0.754902i	$-0.272316\pi$
$547$	27.3786	+	2.39532i	1.17062	+	0.102416i	0.514787	+	0.857318i	$0.327871\pi$
$548$	−0.776646	+	2.64768i	−0.0331767	+	0.113103i
$549$	−0.0831653	+	0.178349i	−0.00354941	+	0.00761173i
$550$	2.29357	−	41.3601i	0.0977981	−	1.76360i
$551$	11.3717	+	25.4094i	0.484451	+	1.08248i
$552$	3.57514	−	21.3139i	0.152168	−	0.907178i
$553$	−1.42220	+	0.517638i	−0.0604781	+	0.0220122i
$554$	−26.0752	−	6.10340i	−1.10783	−	0.259308i
$555$	34.7472	+	3.03998i	1.47493	+	0.129040i
$556$	6.31992	+	0.148718i	0.268024	+	0.00630705i
$557$	1.30197	−	1.85941i	0.0551664	−	0.0787858i	−0.790621	−	0.612306i	$-0.790242\pi$
$557$	1.30197	−	1.85941i	0.0551664	−	0.0787858i	0.845787	+	0.533520i	$0.179131\pi$
$558$	0.395663	−	1.20526i	0.0167498	−	0.0510227i
$559$	−0.983442	+	1.70337i	−0.0415952	+	0.0720449i
$560$	6.66816	−	1.45438i	0.281781	−	0.0614586i
$561$	1.41461	−	3.88661i	0.0597249	−	0.164093i
$562$	−3.35014	−	16.0000i	−0.141317	−	0.674918i
$563$	−5.71535	+	21.3300i	−0.240873	+	0.898951i	0.734540	+	0.678566i	$0.237398\pi$
$563$	−5.71535	+	21.3300i	−0.240873	+	0.898951i	−0.975413	+	0.220385i	$0.929268\pi$
$564$	−8.31561	+	9.44948i	−0.350150	+	0.397895i
$565$	−2.06667	−	23.6221i	−0.0869454	−	0.993791i
$566$	3.94376	−	2.95310i	0.165769	−	0.124128i
$567$	−0.0927297	+	0.525896i	−0.00389428	+	0.0220856i
$568$	16.4350	−	23.8934i	0.689598	−	1.00255i
$569$	25.4144			1.06543			0.532713	−	0.846296i	$-0.321172\pi$
$569$	25.4144			1.06543			0.532713	+	0.846296i	$0.321172\pi$
$570$	−19.3384	+	3.73674i	−0.809996	+	0.156515i
$571$	5.49218	+	5.49218i	0.229841	+	0.229841i	0.812626	−	0.582785i	$-0.198037\pi$
$571$	5.49218	+	5.49218i	0.229841	+	0.229841i	−0.582785	+	0.812626i	$0.698037\pi$
$572$	16.5471	+	68.1269i	0.691868	+	2.84853i
$573$	2.50386	+	3.57588i	0.104600	+	0.149384i
$574$	−0.364376	+	2.53674i	−0.0152087	+	0.105882i
$575$	25.5831	−	30.4887i	1.06689	−	1.27147i
$576$	1.25755	−	7.90054i	0.0523979	−	0.329189i
$577$	−22.4090	−	38.8135i	−0.932899	−	1.61583i	−0.778337	−	0.627846i	$-0.783937\pi$
$577$	−22.4090	−	38.8135i	−0.932899	−	1.61583i	−0.154562	−	0.987983i	$-0.549397\pi$
$578$	4.77030	+	22.7825i	0.198418	+	0.947627i
$579$	1.22934	−	0.573250i	0.0510895	−	0.0238234i
$580$	−36.5715	−	18.1129i	−1.51855	−	0.752098i
$581$	−0.284760	−	1.06274i	−0.0118138	−	0.0440899i
$582$	−9.59723	+	4.85338i	−0.397818	+	0.201179i
$583$	−53.3983	+	9.41556i	−2.21153	+	0.389953i
$584$	14.2858	+	1.12984i	0.591151	+	0.0467532i
$585$	−15.2576	+	12.8027i	−0.630826	+	0.529326i
$586$	6.60085	−	28.2004i	0.272679	−	1.16495i
$587$	−17.7816	−	8.29171i	−0.733926	−	0.342235i	0.0194626	−	0.999811i	$-0.493804\pi$
$587$	−17.7816	−	8.29171i	−0.733926	−	0.342235i	−0.753389	+	0.657575i	$0.771582\pi$
$588$	10.4880	−	8.38802i	0.432516	−	0.345916i
$589$	−3.41603	+	1.90215i	−0.140755	+	0.0783767i
$590$	−19.5322	−	21.8257i	−0.804130	−	0.898550i
$591$	−19.1827	+	6.98192i	−0.789069	+	0.287198i
$592$	40.3993	−	16.5722i	1.66040	−	0.681115i
$593$	−17.6391	+	14.8010i	−0.724352	+	0.607804i	−0.928586	−	0.371118i	$-0.878974\pi$
$593$	−17.6391	+	14.8010i	−0.724352	+	0.607804i	0.204233	+	0.978922i	$0.434530\pi$
$594$	7.94850	−	0.253401i	0.326131	−	0.0103972i
$595$	1.02801	+	0.719819i	0.0421442	+	0.0295097i
$596$	9.43763	−	24.1465i	0.386580	−	0.989077i
$597$	−12.0121	+	3.21864i	−0.491623	+	0.131730i
$598$	−26.5078	+	61.9250i	−1.08399	+	2.53230i
$599$	−10.0139	+	27.5130i	−0.409158	+	1.12415i	0.548477	+	0.836166i	$0.315208\pi$
$599$	−10.0139	+	27.5130i	−0.409158	+	1.12415i	−0.957635	+	0.287986i	$0.907014\pi$
$600$	9.37564	−	11.3647i	0.382759	−	0.463960i
$601$	13.5004	+	23.3834i	0.550692	+	0.953827i	0.998225	+	0.0595592i	$0.0189695\pi$
$601$	13.5004	+	23.3834i	0.550692	+	0.953827i	−0.447533	+	0.894268i	$0.647697\pi$
$602$	0.0283213	+	0.236596i	0.00115429	+	0.00964295i
$603$	11.3713	−	0.994862i	0.463076	−	0.0405139i
$604$	−7.91964	+	5.27216i	−0.322246	+	0.214521i
$605$	53.9724	−	37.7919i	2.19429	−	1.53646i
$606$	−6.05145	+	11.2982i	−0.245823	+	0.458959i
$607$	14.9664			0.607466			0.303733	−	0.952757i	$-0.401767\pi$
$607$	14.9664			0.607466			0.303733	+	0.952757i	$0.401767\pi$
$608$	−19.3666	+	15.2622i	−0.785421	+	0.618962i
$609$	3.41043			0.138198
$610$	−0.419835	+	0.783842i	−0.0169986	+	0.0317368i
$611$	32.1377	−	22.5030i	1.30015	−	0.910376i
$612$	1.22452	−	0.815173i	0.0494984	−	0.0329514i
$613$	14.9895	−	1.31141i	0.605419	−	0.0529673i	0.219675	−	0.975573i	$-0.429500\pi$
$613$	14.9895	−	1.31141i	0.605419	−	0.0529673i	0.385744	+	0.922606i	$0.373945\pi$
$614$	−3.69605	−	30.8769i	−0.149161	−	1.24609i
$615$	5.42133	+	9.39002i	0.218609	+	0.378642i
$616$	6.55168	+	5.40502i	0.263975	+	0.217774i
$617$	−3.17376	+	8.71984i	−0.127771	+	0.351047i	−0.987040	−	0.160477i	$-0.948697\pi$
$617$	−3.17376	+	8.71984i	−0.127771	+	0.351047i	0.859269	+	0.511524i	$0.170919\pi$
$618$	6.49205	−	15.1661i	0.261148	−	0.610069i
$619$	22.6031	−	6.05649i	0.908497	−	0.243431i	0.225835	−	0.974166i	$-0.427489\pi$
$619$	22.6031	−	6.05649i	0.908497	−	0.243431i	0.682662	+	0.730735i	$0.260822\pi$
$620$	2.08664	−	5.33874i	0.0838016	−	0.214409i
$621$	6.25903	+	4.38262i	0.251166	+	0.175868i
$622$	−11.9009	+	0.379404i	−0.477181	+	0.0152127i
$623$	3.03424	−	2.54603i	0.121564	−	0.102004i
$624$	−9.62087	+	23.0039i	−0.385143	+	0.920894i
$625$	−22.4700	+	8.17840i	−0.898799	+	0.327136i
$626$	4.08667	+	4.56652i	0.163336	+	0.182515i
$627$	−18.5299	−	16.0452i	−0.740014	−	0.640784i
$628$	32.5901	−	26.0648i	1.30049	−	1.04010i
$629$	7.27707	+	3.39335i	0.290156	+	0.135302i
$630$	−0.549939	+	2.34947i	−0.0219101	+	0.0936051i
$631$	−1.26016	+	1.05740i	−0.0501661	+	0.0420943i	−0.667526	−	0.744587i	$-0.732647\pi$
$631$	−1.26016	+	1.05740i	−0.0501661	+	0.0420943i	0.617360	+	0.786681i	$0.288202\pi$
$632$	−0.632019	+	7.99129i	−0.0251404	+	0.317876i
$633$	−15.7812	+	2.78265i	−0.627247	+	0.110601i
$634$	15.7250	−	7.95222i	0.624519	−	0.315823i
$635$	8.40841	+	31.3806i	0.333677	+	1.24530i
$636$	−17.2814	−	8.55903i	−0.685252	−	0.339388i
$637$	−37.9364	+	17.6900i	−1.50309	+	0.700904i
$638$	−10.4086	−	49.7106i	−0.412081	−	1.96806i
$639$	5.12654	+	8.87943i	0.202803	+	0.351265i
$640$	7.65027	−	35.3300i	0.302403	−	1.39654i
$641$	29.7485	−	35.4529i	1.17500	−	1.40031i	0.276676	−	0.960963i	$-0.410767\pi$
$641$	29.7485	−	35.4529i	1.17500	−	1.40031i	0.898320	−	0.439342i	$-0.144788\pi$
$642$	−2.89055	+	20.1237i	−0.114081	+	0.794217i
$643$	−14.4127	−	20.5834i	−0.568380	−	0.811730i	0.427346	−	0.904088i	$-0.359449\pi$
$643$	−14.4127	−	20.5834i	−0.568380	−	0.811730i	−0.995726	+	0.0923578i	$0.970560\pi$
$644$	1.92609	+	7.93002i	0.0758987	+	0.312487i
$645$	0.712865	+	0.712865i	0.0280690	+	0.0280690i
$646$	−4.47744	−	0.714251i	−0.176163	−	0.0281018i
$647$	2.09886			0.0825147			0.0412573	−	0.999149i	$-0.486864\pi$
$647$	2.09886			0.0825147			0.0412573	+	0.999149i	$0.486864\pi$
$648$	2.33036	+	1.60293i	0.0915454	+	0.0629692i
$649$	6.32948	−	35.8962i	0.248454	−	1.40905i
$650$	−36.7572	+	27.5239i	−1.44174	+	1.07958i
$651$	0.0417479	+	0.477181i	0.00163623	+	0.0187022i
$652$	5.71070	−	6.48938i	0.223648	−	0.254144i
$653$	−0.743294	+	2.77401i	−0.0290874	+	0.108555i	−0.978943	−	0.204132i	$-0.934563\pi$
$653$	−0.743294	+	2.77401i	−0.0290874	+	0.108555i	0.949856	+	0.312688i	$0.101229\pi$
$654$	4.34815	+	20.7664i	0.170026	+	0.812029i
$655$	−13.0671	+	35.9016i	−0.510574	+	1.40279i
$656$	11.4232	+	7.33242i	0.445999	+	0.286283i
$657$	−2.53328	+	4.38778i	−0.0988328	+	0.171183i
$658$	1.48248	−	4.51590i	0.0577932	−	0.176048i
$659$	−21.1786	+	30.2462i	−0.825003	+	1.17823i	0.156670	+	0.987651i	$0.449924\pi$
$659$	−21.1786	+	30.2462i	−0.825003	+	1.17823i	−0.981673	+	0.190575i	$0.938965\pi$
$660$	35.9244	+	0.845359i	1.39835	+	0.0329056i
$661$	−42.0025	−	3.67474i	−1.63371	−	0.142931i	−0.766966	−	0.641688i	$-0.778234\pi$
$661$	−42.0025	−	3.67474i	−1.63371	−	0.142931i	−0.866742	+	0.498757i	$0.833790\pi$
$662$	39.2068	+	9.17710i	1.52381	+	0.356678i
$663$	−4.30849	+	1.56816i	−0.167328	+	0.0609024i
$664$	−5.74717	−	0.964018i	−0.223033	−	0.0374111i
$665$	6.15776	−	4.17075i	0.238788	−	0.161735i
$666$	−0.854800	+	15.4147i	−0.0331228	+	0.597307i
$667$	20.6230	−	44.2261i	0.798525	−	1.71244i
$668$	−1.49480	+	5.09597i	−0.0578356	+	0.197169i
$669$	0.221981	+	0.0194208i	0.00858229	+	0.000750853i
$670$	51.5525	−	1.64351i	1.99165	−	0.0634945i
$671$	−1.08977	+	0.192156i	−0.0420702	+	0.00741811i
$672$	0.737447	+	2.92942i	0.0284476	+	0.113005i
$673$	19.2085	+	11.0900i	0.740431	+	0.427488i	0.822226	−	0.569161i	$-0.192732\pi$
$673$	19.2085	+	11.0900i	0.740431	+	0.427488i	−0.0817947	+	0.996649i	$0.526065\pi$
$674$	9.74947	+	24.3434i	0.375535	+	0.937672i
$675$	2.20136	+	4.72083i	0.0847304	+	0.181705i
$676$	30.6525	−	41.6551i	1.17894	−	1.60212i
$677$	−0.762165	+	2.84444i	−0.0292924	+	0.109321i	−0.979024	−	0.203744i	$-0.934689\pi$
$677$	−0.762165	+	2.84444i	−0.0292924	+	0.109321i	0.949732	+	0.313065i	$0.101356\pi$
$678$	10.4211	−	1.24743i	0.400218	−	0.0479073i
$679$	2.61034	−	3.11088i	0.100176	−	0.119385i
$680$	5.72858	−	3.37143i	0.219681	−	0.129288i
$681$	−22.4877	−	3.96520i	−0.861732	−	0.151947i
$682$	6.82799	−	2.06487i	0.261457	−	0.0790681i
$683$	−11.1924	+	11.1924i	−0.428264	+	0.428264i	−0.888037	−	0.459773i	$-0.847931\pi$
$683$	−11.1924	+	11.1924i	−0.428264	+	0.428264i	0.459773	+	0.888037i	$0.347931\pi$
$684$	−1.92584	−	8.50242i	−0.0736362	−	0.325098i
$685$	−3.11698	−	3.11698i	−0.119094	−	0.119094i
$686$	−4.89030	+	9.13031i	−0.186712	+	0.348597i
$687$	2.66604	−	15.1199i	0.101716	−	0.576859i
$688$	1.20238	+	0.383637i	0.0458403	+	0.0146260i
$689$	46.0452	+	38.6365i	1.75418	+	1.47193i
$690$	27.1422	+	21.3388i	1.03328	+	0.812356i
$691$	47.8456	+	12.8202i	1.82013	+	0.487703i	0.996806	−	0.0798631i	$-0.0254483\pi$
$691$	47.8456	+	12.8202i	1.82013	+	0.487703i	0.823328	+	0.567566i	$0.192115\pi$
$692$	−2.44946	+	0.372720i	−0.0931146	+	0.0141687i
$693$	−2.72154	+	1.26908i	−0.103383	+	0.0482082i
$694$	−16.9096	−	7.23840i	−0.641881	−	0.274766i
$695$	−5.04964	+	8.74623i	−0.191544	+	0.331763i
$696$	7.49719	−	16.4343i	0.284180	−	0.622942i
$697$	0.433423	+	2.45807i	0.0164171	+	0.0931059i
$698$	−23.9944	−	22.5118i	−0.908203	−	0.852084i
$699$	2.54223	−	29.0579i	0.0961561	−	1.09907i
$700$	−1.56587	+	5.33824i	−0.0591843	+	0.201767i
$701$	29.9718	+	13.9761i	1.13202	+	0.527870i	0.896078	−	0.443897i	$-0.146404\pi$
$701$	29.9718	+	13.9761i	1.13202	+	0.527870i	0.235943	+	0.971767i	$0.424182\pi$
$702$	−5.87897	−	6.56927i	−0.221888	−	0.247941i
$703$	34.1655	−	33.1207i	1.28857	−	1.24917i
$704$	40.4486	−	19.6896i	1.52446	−	0.742081i
$705$	−6.87774	−	18.8964i	−0.259031	−	0.711681i
$706$	−8.04020	−	12.9544i	−0.302597	−	0.487545i
$707$	0.421802	−	4.82122i	0.0158635	−	0.181321i
$708$	9.38000	−	8.94870i	0.352522	−	0.336313i
$709$	−31.4368	−	22.0123i	−1.18063	−	0.826687i	−0.192652	−	0.981267i	$-0.561709\pi$
$709$	−31.4368	−	22.0123i	−1.18063	−	0.826687i	−0.987980	+	0.154580i	$0.950598\pi$
$710$	20.9077	+	41.3436i	0.784652	+	1.55160i
$711$	−2.45446	−	1.41709i	−0.0920496	−	0.0531448i
$712$	−5.59871	−	20.2185i	−0.209821	−	0.757719i
$713$	6.44048	+	2.34414i	0.241198	+	0.0877889i
$714$	−0.303943	+	0.464933i	−0.0113748	+	0.0173997i
$715$	−108.185	−	28.9881i	−4.04590	−	1.08410i
$716$	24.3157	+	21.3980i	0.908719	+	0.799679i
$717$	26.7235	−	2.33800i	0.998007	−	0.0873143i
$718$	5.65978	−	39.4028i	0.211221	−	1.47050i
$719$	15.9025	+	2.80403i	0.593062	+	0.104573i	0.462120	−	0.886817i	$-0.347089\pi$
$719$	15.9025	+	2.80403i	0.593062	+	0.104573i	0.130942	+	0.991390i	$0.458200\pi$
$720$	10.1128	+	7.81494i	0.376882	+	0.291245i
$721$			6.22935i			0.231993i
$722$	−13.4160	+	23.2811i	−0.499292	+	0.866434i
$723$	12.7293	−	12.7293i	0.473408	−	0.473408i
$724$	17.9625	−	29.4875i	0.667572	−	1.09589i
$725$	27.2501	−	19.0807i	1.01204	−	0.708640i
$726$	17.4800	+	23.3439i	0.648742	+	0.866372i
$727$	14.4771	+	12.1477i	0.536926	+	0.450535i	0.870485	−	0.492195i	$-0.163805\pi$
$727$	14.4771	+	12.1477i	0.536926	+	0.450535i	−0.333559	+	0.942729i	$0.608250\pi$
$728$	−0.0785449	−	9.41507i	−0.00291107	−	0.348946i
$729$	−0.866025	+	0.500000i	−0.0320750	+	0.0185185i
$730$	−12.5271	+	19.1624i	−0.463649	+	0.709232i
$731$	0.0980792	+	0.210331i	0.00362759	+	0.00777939i
$732$	−0.352685	−	0.174676i	−0.0130356	−	0.00645621i
$733$	33.0541	−	8.85682i	1.22088	−	0.327134i	0.409858	−	0.912149i	$-0.365578\pi$
$733$	33.0541	−	8.85682i	1.22088	−	0.327134i	0.811022	+	0.585015i	$0.198911\pi$
$734$	−13.6935	+	41.7126i	−0.505434	+	1.53964i
$735$	3.72558	+	21.1288i	0.137420	+	0.779349i
$736$	42.4477	+	8.15112i	1.56464	+	0.300454i
$737$	41.2596	+	49.1713i	1.51982	+	1.81125i
$738$	−4.07760	+	2.53078i	−0.150098	+	0.0931592i
$739$	−14.6073	+	31.3255i	−0.537339	+	1.15233i	0.430922	+	0.902389i	$0.358188\pi$
$739$	−14.6073	+	31.3255i	−0.537339	+	1.15233i	−0.968262	+	0.249939i	$0.919589\pi$
$740$	−7.71314	+	69.3320i	−0.283541	+	2.54870i
$741$	−0.421856	+	27.1687i	−0.0154973	+	0.998068i
$742$	7.27080	+	0.403192i	0.266920	+	0.0148017i
$743$	−9.72219	−	26.7115i	−0.356673	−	0.979950i	−0.980176	−	0.198129i	$-0.936513\pi$
$743$	−9.72219	−	26.7115i	−0.356673	−	0.979950i	0.623503	−	0.781821i	$-0.285709\pi$
$744$	2.39124	+	0.847816i	0.0876670	+	0.0310824i
$745$	26.6226	+	31.7275i	0.975375	+	1.16241i
$746$	−22.0055	−	20.6457i	−0.805677	−	0.755894i
$747$	1.18175	−	1.68771i	0.0432380	−	0.0617502i
$748$	7.70451	+	3.01131i	0.281705	+	0.110104i
$749$	−1.98688	−	7.41514i	−0.0725990	−	0.270943i
$750$	0.350885	+	0.876122i	0.0128125	+	0.0319915i
$751$	−27.2552	−	9.92007i	−0.994555	−	0.361988i	−0.207072	−	0.978326i	$-0.566394\pi$
$751$	−27.2552	−	9.92007i	−0.994555	−	0.361988i	−0.787482	+	0.616337i	$0.788616\pi$
$752$	−18.5025	−	17.0712i	−0.674716	−	0.622523i
$753$	−1.75148	+	1.01122i	−0.0638276	+	0.0368509i
$754$	−34.7973	+	44.2608i	−1.26724	+	1.61188i
$755$	−1.32470	−	15.1414i	−0.0482108	−	0.551053i
$756$	−1.04714	−	0.210152i	−0.0380841	−	0.00764314i
$757$	−14.9819	−	21.3963i	−0.544525	−	0.777662i	0.448723	−	0.893671i	$-0.351879\pi$
$757$	−14.9819	−	21.3963i	−0.544525	−	0.777662i	−0.993248	+	0.116008i	$0.962990\pi$
$758$	4.77407	+	15.7866i	0.173402	+	0.573394i
$759$			42.9668i			1.55960i
$760$	−6.56153	−	38.8419i	−0.238012	−	1.40894i
$761$		−	30.0222i		−	1.08830i	−0.838987	−	0.544151i	$-0.816852\pi$
$761$		−	30.0222i		−	1.08830i	0.838987	−	0.544151i	$-0.183148\pi$
$762$	−13.7639	+	4.16238i	−0.498613	+	0.150787i
$763$	−4.59518	−	6.56260i	−0.166357	−	0.237582i
$764$	−7.26758	+	4.83808i	−0.262932	+	0.175036i
$765$	0.204823	+	2.34114i	0.00740540	+	0.0846442i
$766$	36.2640	+	28.5103i	1.31027	+	1.03012i
$767$	−34.9931	+	20.2033i	−1.26353	+	0.729498i
$768$	15.7375	+	2.88613i	0.567880	+	0.104144i
$769$	3.14196	+	1.14358i	0.113302	+	0.0412385i	0.398049	−	0.917364i	$-0.369687\pi$
$769$	3.14196	+	1.14358i	0.113302	+	0.0412385i	−0.284747	+	0.958603i	$0.591910\pi$
$770$	−12.5962	+	5.04475i	−0.453935	+	0.181800i
$771$	−0.860925	−	3.21302i	−0.0310055	−	0.115714i
$772$	1.08834	+	2.48497i	0.0391703	+	0.0894359i
$773$	−2.77713	+	3.96616i	−0.0998865	+	0.142653i	−0.865984	−	0.500072i	$-0.833307\pi$
$773$	−2.77713	+	3.96616i	−0.0998865	+	0.142653i	0.766098	+	0.642724i	$0.222196\pi$
$774$	−0.305311	+	0.325419i	−0.0109742	+	0.0116969i
$775$	3.00331	+	3.57921i	0.107882	+	0.128569i
$776$	−9.25251	−	19.4175i	−0.332146	−	0.697048i
$777$	−1.99382	−	5.47798i	−0.0715280	−	0.196522i
$778$	−1.04873	+	18.9119i	−0.0375989	+	0.678024i
$779$	14.5255	+	2.79444i	0.520432	+	0.100121i
$780$	−24.8804	−	31.1092i	−0.890862	−	1.11389i
$781$	−24.3665	+	52.2541i	−0.871902	+	1.86980i
$782$	4.19125	+	6.75296i	0.149879	+	0.241485i
$783$	4.10514	+	4.89232i	0.146706	+	0.174837i
$784$	16.2779	+	21.3648i	0.581355	+	0.763027i
$785$	11.5768	+	65.6553i	0.413194	+	2.34334i
$786$	−16.0668	−	5.27442i	−0.573084	−	0.188132i
$787$	−9.98558	+	2.67563i	−0.355947	+	0.0953758i	−0.432362	−	0.901700i	$-0.642320\pi$
$787$	−9.98558	+	2.67563i	−0.355947	+	0.0953758i	0.0764141	+	0.997076i	$0.475653\pi$
$788$	−13.0574	−	38.6832i	−0.465151	−	1.37803i
$789$	0.508673	+	1.09085i	0.0181092	+	0.0388354i
$790$	−10.7192	−	7.00749i	−0.381371	−	0.249315i
$791$	−3.43214	+	1.98155i	−0.122033	+	0.0704558i
$792$	0.132683	+	15.9045i	0.00471468	+	0.565142i
$793$	0.939707	+	0.788508i	0.0333700	+	0.0280007i
$794$	−25.4585	+	19.0634i	−0.903489	+	0.676536i
$795$	25.2370	−	17.6712i	0.895066	−	0.626732i
$796$	−5.87032	−	24.1690i	−0.208068	−	0.856648i
$797$	−4.71651	+	4.71651i	−0.167067	+	0.167067i	−0.785689	−	0.618622i	$-0.787691\pi$
$797$	−4.71651	+	4.71651i	−0.167067	+	0.167067i	0.618622	+	0.785689i	$0.287691\pi$
$798$	1.93195	+	2.66531i	0.0683902	+	0.0943510i
$799$		−	4.62913i		−	0.163767i
$800$	22.2819	+	19.2808i	0.787784	+	0.681679i
$801$	7.30463	+	1.28800i	0.258096	+	0.0455093i
$802$	9.56934	+	1.37453i	0.337905	+	0.0485364i
$803$	−28.3824	+	2.48314i	−1.00159	+	0.0876279i
$804$	1.45415	+	22.7832i	0.0512839	+	0.803500i
$805$	−12.5928	−	3.37424i	−0.443839	−	0.118926i
$806$	−6.61884	−	4.32696i	−0.233139	−	0.152411i
$807$	19.1001	+	6.95186i	0.672354	+	0.244717i
$808$	−22.3054	−	12.6311i	−0.784703	−	0.444362i
$809$	−29.7847	−	17.1962i	−1.04717	−	0.604587i	−0.125318	−	0.992117i	$-0.539995\pi$
$809$	−29.7847	−	17.1962i	−1.04717	−	0.604587i	−0.921857	+	0.387530i	$0.873328\pi$
$810$	−4.03231	+	2.03916i	−0.141681	+	0.0716489i
$811$	5.08050	+	3.55741i	0.178401	+	0.124917i	0.659366	−	0.751822i	$-0.270825\pi$
$811$	5.08050	+	3.55741i	0.178401	+	0.124917i	−0.480965	+	0.876740i	$0.659714\pi$
$812$	−0.160462	+	6.81898i	−0.00563110	+	0.239299i
$813$	0.583853	−	6.67347i	0.0204766	−	0.234049i
$814$	−73.7622	+	45.7808i	−2.58536	+	1.60462i
$815$	4.72325	+	12.9770i	0.165448	+	0.454565i
$816$	1.57228	+	2.48672i	0.0550408	+	0.0870526i
$817$	1.37180	−	0.0985830i	0.0479933	−	0.00344898i
$818$	−20.6511	+	18.4810i	−0.722047	+	0.646174i
$819$	3.01696	+	1.40683i	0.105421	+	0.0491586i
$820$	−19.0299	+	10.3979i	−0.664554	+	0.363109i
$821$	4.30588	−	49.2164i	0.150276	−	1.71766i	−0.429651	−	0.902995i	$-0.641363\pi$
$821$	4.30588	−	49.2164i	0.150276	−	1.71766i	0.579927	−	0.814668i	$-0.303081\pi$
$822$	1.33496	−	1.42288i	0.0465621	−	0.0496287i
$823$	−0.373976	−	2.12092i	−0.0130360	−	0.0739308i	0.977596	−	0.210491i	$-0.0675063\pi$
$823$	−0.373976	−	2.12092i	−0.0130360	−	0.0739308i	−0.990632	+	0.136560i	$0.956395\pi$
$824$	30.0183	+	13.6941i	1.04574	+	0.477055i
$825$	−14.6455	+	25.3667i	−0.509890	+	0.883156i
$826$	−1.92638	+	4.50023i	−0.0670275	+	0.156583i
$827$	22.7386	−	10.6032i	0.790700	−	0.368709i	0.0150610	−	0.999887i	$-0.495206\pi$
$827$	22.7386	−	10.6032i	0.790700	−	0.368709i	0.775639	+	0.631177i	$0.217428\pi$
$828$	−9.05730	+	12.3084i	−0.314763	+	0.427746i
$829$	17.9806	+	4.81790i	0.624493	+	0.167332i	0.557170	−	0.830399i	$-0.311887\pi$
$829$	17.9806	+	4.81790i	0.624493	+	0.167332i	0.0673236	+	0.997731i	$0.478554\pi$
$830$	5.75391	−	7.31874i	0.199721	−	0.254037i
$831$	14.5060	+	12.1720i	0.503209	+	0.422242i
$832$	−45.5424	−	20.3188i	−1.57890	−	0.704426i
$833$	−0.857631	+	4.86386i	−0.0297151	+	0.168523i
$834$	−3.94047	−	2.11056i	−0.136447	−	0.0730827i
$835$	−5.99921	−	5.99921i	−0.207611	−	0.207611i
$836$	32.9534	−	36.2946i	1.13972	−	1.25528i
$837$	−0.634271	+	0.634271i	−0.0219236	+	0.0219236i
$838$	8.41005	+	27.8098i	0.290520	+	0.960674i
$839$	25.0504	+	4.41707i	0.864837	+	0.152494i	0.588431	−	0.808547i	$-0.299746\pi$
$839$	25.0504	+	4.41707i	0.864837	+	0.152494i	0.276405	+	0.961041i	$0.410857\pi$
$840$	−4.67176	−	1.21012i	−0.161191	−	0.0417530i
$841$	7.57651	−	9.02933i	0.261259	−	0.311356i
$842$	−2.39057	−	19.9708i	−0.0823843	−	0.688240i
$843$	−2.99170	+	11.1652i	−0.103040	+	0.384549i
$844$	−4.82126	−	31.6846i	−0.165954	−	1.09063i
$845$	34.9177	+	74.8813i	1.20121	+	2.57600i
$846$	8.26260	−	3.30915i	0.284074	−	0.113771i
$847$	−9.53669	−	5.50601i	−0.327685	−	0.189189i
$848$	17.9264	−	34.1505i	0.615596	−	1.17273i
$849$	−3.43090	+	0.604960i	−0.117748	+	0.0207622i
$850$	0.172646	+	5.41542i	0.00592170	+	0.185747i
$851$	−83.0946	−	7.26984i	−2.84845	−	0.249207i
$852$	−17.9951	+	9.83246i	−0.616504	+	0.336855i
$853$	6.21513	−	13.3284i	0.212802	−	0.456355i	−0.770713	−	0.637183i	$-0.780100\pi$
$853$	6.21513	−	13.3284i	0.212802	−	0.456355i	0.983515	+	0.180827i	$0.0578775\pi$
$854$	0.148385	+	0.00822850i	0.00507764	+	0.000281574i
$855$	13.3951	+	3.81306i	0.458103	+	0.130404i
$856$	−40.1002	−	6.72631i	−1.37060	−	0.229901i
$857$	−6.05029	+	2.20212i	−0.206674	+	0.0752231i	−0.443283	−	0.896382i	$-0.646186\pi$
$857$	−6.05029	+	2.20212i	−0.206674	+	0.0752231i	0.236609	+	0.971605i	$0.423964\pi$
$858$	11.2983	−	48.2689i	0.385717	−	1.64787i
$859$	19.5751	+	1.71260i	0.667894	+	0.0584331i	0.416060	−	0.909337i	$-0.363411\pi$
$859$	19.5751	+	1.71260i	0.667894	+	0.0584331i	0.251834	+	0.967770i	$0.418966\pi$
$860$	−1.45888	+	1.39180i	−0.0497473	+	0.0474598i
$861$	1.03941	−	1.48443i	0.0354230	−	0.0505893i
$862$	−32.4139	−	10.6409i	−1.10402	−	0.362429i
$863$	18.4930	−	32.0308i	0.629509	−	1.09034i	−0.358142	−	0.933667i	$-0.616590\pi$
$863$	18.4930	−	32.0308i	0.629509	−	1.09034i	0.987650	−	0.156674i	$-0.0500771\pi$
$864$	−3.31463	+	4.58402i	−0.112766	+	0.155952i
$865$	1.35379	−	3.71951i	0.0460303	−	0.126467i
$866$	−4.35491	+	0.911849i	−0.147986	+	0.0309859i
$867$	4.25991	−	15.8982i	0.144674	−	0.539931i
$868$	−0.956062	+	0.0610213i	−0.0324509	+	0.00207120i
$869$	−1.38903	−	15.8767i	−0.0471197	−	0.538581i
$870$	17.2970	+	23.0996i	0.586424	+	0.783148i
$871$	12.3561	−	70.0750i	0.418671	−	2.37440i
$872$	−41.7258	+	7.71683i	−1.41301	+	0.261325i
$873$	7.60467			0.257379
$874$	46.2460	−	8.93606i	1.56429	−	0.302267i
$875$	−0.251992	−	0.251992i	−0.00851889	−	0.00851889i
$876$	−8.65393	−	5.27161i	−0.292389	−	0.178111i
$877$	24.0155	+	34.2977i	0.810947	+	1.15815i	0.984853	+	0.173390i	$0.0554721\pi$
$877$	24.0155	+	34.2977i	0.810947	+	1.15815i	−0.173906	+	0.984762i	$0.555639\pi$
$878$	−48.2814	−	6.93510i	−1.62942	−	0.234048i
$879$	−13.1641	+	15.6883i	−0.444014	+	0.529155i
$880$	−3.38050	+	71.7891i	−0.113957	+	2.42001i
$881$	−1.92575	−	3.33549i	−0.0648800	−	0.112375i	0.831761	−	0.555134i	$-0.187333\pi$
$881$	−1.92575	−	3.33549i	−0.0648800	−	0.112375i	−0.896641	+	0.442759i	$0.854000\pi$
$882$	−9.29465	+	1.94615i	−0.312967	+	0.0655304i
$883$	−6.21144	+	2.89644i	−0.209032	+	0.0974730i	−0.524314	−	0.851525i	$-0.675678\pi$
$883$	−6.21144	+	2.89644i	−0.209032	+	0.0974730i	0.315283	+	0.948998i	$0.397901\pi$
$884$	−2.93274	−	8.68838i	−0.0986388	−	0.292222i
$885$	5.36033	+	20.0050i	0.180186	+	0.672462i
$886$	−6.83687	−	13.5195i	−0.229689	−	0.454195i
$887$	29.6768	−	5.23282i	0.996449	−	0.175701i	0.348438	−	0.937332i	$-0.386712\pi$
$887$	29.6768	−	5.23282i	0.996449	−	0.175701i	0.648011	+	0.761631i	$0.275601\pi$
$888$	−30.7806	−	2.43439i	−1.03293	−	0.0816928i
$889$	4.15941	−	3.49016i	0.139502	−	0.117056i
$890$	32.6338	+	7.63857i	1.09389	+	0.256045i
$891$	−5.09643	−	2.37651i	−0.170737	−	0.0796159i
$892$	−0.0492752	+	0.442926i	−0.00164986	+	0.0148303i
$893$	−25.6303	−	9.78192i	−0.857686	−	0.327340i
$894$	−13.6605	+	12.2250i	−0.456875	+	0.408866i
$895$	−48.6248	+	17.6980i	−1.62535	+	0.591578i
$896$	−5.89191	+	1.33666i	−0.196835	+	0.0446546i
$897$	36.4873	−	30.6164i	1.21827	−	1.02225i
$898$	−0.0182800	−	0.573392i	−0.000610010	−	0.0191343i
$899$	4.69262	+	3.28581i	0.156508	+	0.109588i
$900$	−9.54263	+	4.17939i	−0.318088	+	0.139313i
$901$	6.85052	−	1.83559i	0.228224	−	0.0611525i
$902$	−24.8094	−	10.6200i	−0.826064	−	0.353608i
$903$	0.0576281	−	0.158332i	0.00191774	−	0.00526895i
$904$	2.00386	+	20.8950i	0.0666473	+	0.694959i
$905$	27.5802	+	47.7702i	0.916795	+	1.58794i
$906$	6.67973	−	0.799584i	0.221919	−	0.0265644i
$907$	−51.4050	+	4.49736i	−1.70688	+	0.149332i	−0.898395	−	0.439189i	$-0.855266\pi$
$907$	−51.4050	+	4.49736i	−1.70688	+	0.149332i	−0.808481	+	0.588522i	$0.799710\pi$
$908$	8.98625	−	44.7765i	0.298219	−	1.48596i
$909$	7.42383	−	5.19822i	0.246233	−	0.172414i
$910$	13.2595	+	7.10196i	0.439549	+	0.235428i
$911$	−47.2508			−1.56549			−0.782745	−	0.622343i	$-0.786181\pi$
$911$	−47.2508			−1.56549			−0.782745	+	0.622343i	$0.786181\pi$
$912$	17.0907	−	3.45057i	0.565931	−	0.114260i
$913$	11.5858			0.383433
$914$	−14.9478	−	8.00622i	−0.494430	−	0.264822i
$915$	0.515047	−	0.360640i	0.0170269	−	0.0119224i
$916$	30.1059	+	6.04200i	0.994728	+	0.199633i
$917$	6.36110	−	0.556524i	0.210062	−	0.0183780i
$918$	−1.03281	+	0.123630i	−0.0340878	+	0.00408041i
$919$	−9.37729	−	16.2419i	−0.309328	−	0.535772i	0.668887	−	0.743364i	$-0.266771\pi$
$919$	−9.37729	−	16.2419i	−0.309328	−	0.535772i	−0.978216	+	0.207591i	$0.933438\pi$
$920$	−43.9429	+	53.2653i	−1.44876	+	1.75611i
$921$	−7.52072	+	20.6630i	−0.247816	+	0.680869i
$922$	1.42270	+	0.609008i	0.0468543	+	0.0200566i
$923$	61.7366	−	16.5423i	2.03209	−	0.544496i
$924$	−2.40940	−	5.50129i	−0.0792634	−	0.180979i
$925$	−46.5794	−	32.6152i	−1.53152	−	1.07238i
$926$	−1.19650	−	37.5310i	−0.0393195	−	1.23334i
$927$	−8.93611	+	7.49828i	−0.293500	+	0.246276i
$928$	32.5068	+	15.7635i	1.06709	+	0.517461i
$929$	−45.0386	+	16.3927i	−1.47767	+	0.537828i	−0.950171	−	0.311728i	$-0.899092\pi$
$929$	−45.0386	+	16.3927i	−1.47767	+	0.537828i	−0.527499	+	0.849556i	$0.676870\pi$
$930$	−3.02031	+	2.70293i	−0.0990398	+	0.0886327i
$931$	25.1177	+	15.0264i	0.823199	+	0.492471i
$932$	57.9800	+	6.45024i	1.89920	+	0.211285i
$933$	7.63062	+	3.55822i	0.249815	+	0.116491i
$934$	−3.64996	−	0.854343i	−0.119430	−	0.0279550i
$935$	−10.1234	+	8.49457i	−0.331072	+	0.277802i
$936$	13.4115	−	11.4456i	0.438369	−	0.374111i
$937$	23.2924	−	4.10708i	0.760930	−	0.134173i	0.220299	−	0.975432i	$-0.429297\pi$
$937$	23.2924	−	4.10708i	0.760930	−	0.134173i	0.540631	+	0.841260i	$0.318185\pi$
$938$	−3.89026	−	7.69274i	−0.127022	−	0.251177i
$939$	−1.12153	−	4.18559i	−0.0365996	−	0.136592i
$940$	38.1060	−	12.8626i	1.24288	−	0.419531i
$941$	26.4744	−	12.3452i	0.863042	−	0.402443i	0.0598811	−	0.998206i	$-0.480928\pi$
$941$	26.4744	−	12.3452i	0.863042	−	0.402443i	0.803161	+	0.595763i	$0.203150\pi$
$942$	−28.8820	+	6.04744i	−0.941027	+	0.197036i
$943$	−12.9646	−	22.4554i	−0.422186	−	0.731247i
$944$	17.4511	+	19.1759i	0.567985	+	0.624121i
$945$	1.09674	−	1.30705i	0.0356771	−	0.0425183i
$946$	−2.48373	−	0.356761i	−0.0807531	−	0.0115993i
$947$	15.3984	+	21.9912i	0.500380	+	0.714617i	0.987307	−	0.158826i	$-0.0507708\pi$
$947$	15.3984	+	21.9912i	0.500380	+	0.714617i	−0.486926	+	0.873443i	$0.661882\pi$
$948$	2.94887	−	4.84089i	0.0957748	−	0.157225i
$949$	22.3328	+	22.3328i	0.724954	+	0.724954i
$950$	30.3486	+	10.4875i	0.984639	+	0.340261i
$951$	−12.4602			−0.404049
$952$	−0.915308	−	0.629592i	−0.0296653	−	0.0204052i
$953$	2.01171	−	11.4090i	0.0651658	−	0.369573i	−0.934733	−	0.355351i	$-0.884361\pi$
$953$	2.01171	−	11.4090i	0.0651658	−	0.369573i	0.999899	−	0.0142228i	$-0.00452742\pi$
$954$	8.17349	+	10.9154i	0.264626	+	0.353399i
$955$	−1.21563	−	13.8948i	−0.0393370	−	0.449624i
$956$	3.41736	+	53.5422i	0.110525	+	1.73168i
$957$	−9.29496	+	34.6893i	−0.300463	+	1.12134i
$958$	20.9233	−	4.38102i	0.676002	−	0.141544i
$959$	−0.251977	+	0.692300i	−0.00813675	+	0.0223555i
$960$	−16.1014	+	19.8523i	−0.519669	+	0.640730i
$961$	15.0977	−	26.1500i	0.487023	−	0.843548i
$962$	91.4369	+	30.0170i	2.94805	+	0.967786i
$963$	8.24552	−	11.7758i	0.265708	−	0.379470i
$964$	24.8527	+	26.0505i	0.800450	+	0.839030i
$965$	−4.31746	−	0.377729i	−0.138984	−	0.0121595i
$966$	1.31513	−	5.61854i	0.0423135	−	0.180774i
$967$	−42.7151	+	15.5470i	−1.37363	+	0.499959i	−0.920240	−	0.391355i	$-0.872006\pi$
$967$	−42.7151	+	15.5470i	−1.37363	+	0.499959i	−0.453386	+	0.891314i	$0.649784\pi$
$968$	−47.4972	+	33.8519i	−1.52662	+	1.08804i
$969$	2.59738	+	1.87947i	0.0834400	+	0.0603773i
$970$	34.3097	+	1.90260i	1.10162	+	0.0610888i
$971$	9.56594	−	20.5142i	0.306986	−	0.658333i	−0.690926	−	0.722925i	$-0.742797\pi$
$971$	9.56594	−	20.5142i	0.306986	−	0.658333i	0.997912	+	0.0645926i	$0.0205748\pi$
$972$	−0.958977	−	1.75510i	−0.0307592	−	0.0562947i
$973$	1.68149	+	0.147111i	0.0539061	+	0.00471618i
$974$	−1.03637	−	32.5082i	−0.0332075	−	1.04163i
$975$	31.9771	−	5.63843i	1.02409	−	0.180574i
$976$	0.365849	−	0.696957i	0.0117105	−	0.0223090i
$977$	−37.6617	−	21.7440i	−1.20490	−	0.695652i	−0.243262	−	0.969961i	$-0.578218\pi$
$977$	−37.6617	−	21.7440i	−1.20490	−	0.695652i	−0.961642	+	0.274309i	$0.911551\pi$
$978$	−5.67430	+	2.27254i	−0.181444	+	0.0726679i
$979$	17.6273	+	37.8018i	0.563370	+	1.20815i
$980$	−42.4213	+	6.45499i	−1.35510	+	0.206197i
$981$	3.88292	−	14.4913i	0.123972	−	0.462671i
$982$	2.16567	+	18.0920i	0.0691093	+	0.577340i
$983$	−38.6827	+	46.1003i	−1.23379	+	1.47037i	−0.401655	+	0.915791i	$0.631565\pi$
$983$	−38.6827	+	46.1003i	−1.23379	+	1.47037i	−0.832131	+	0.554579i	$0.812879\pi$
$984$	−4.86830	−	8.27201i	−0.155196	−	0.263702i
$985$	64.2338	+	11.3261i	2.04666	+	0.360881i
$986$	1.92295	+	6.35869i	0.0612392	+	0.202502i
$987$	−2.37651	+	2.37651i	−0.0756450	+	0.0756450i
$988$	−54.3026	−	2.12177i	−1.72760	−	0.0675026i
$989$	−1.70475	−	1.70475i	−0.0542079	−	0.0542079i
$990$	−22.3988	−	11.9971i	−0.711882	−	0.381292i
$991$	0.854612	−	4.84675i	0.0271477	−	0.153962i	−0.968221	−	0.250098i	$-0.919537\pi$
$991$	0.854612	−	4.84675i	0.0271477	−	0.153962i	0.995368	+	0.0961359i	$0.0306483\pi$
$992$	−1.80767	+	4.74126i	−0.0573936	+	0.150535i
$993$	−21.8114	−	18.3019i	−0.692163	−	0.580793i
$994$	4.78567	−	6.08718i	0.151792	−	0.193074i
$995$	38.3803	+	10.2840i	1.21674	+	0.326024i
$996$	3.31889	+	2.44225i	0.105163	+	0.0773858i
$997$	24.2278	−	11.2976i	0.767304	−	0.357800i	0.000766635	−	1.00000i	$-0.499756\pi$
$997$	24.2278	−	11.2976i	0.767304	−	0.357800i	0.766537	+	0.642200i	$0.221978\pi$
$998$	−7.18346	+	16.7813i	−0.227388	+	0.531202i
$999$	5.45829	−	9.45403i	0.172693	−	0.299112i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	912.2.cn.a.451.54	yes	960
16.11	odd	4	inner	912.2.cn.a.907.10	yes	960
19.15	odd	18	inner	912.2.cn.a.547.10	yes	960
304.91	even	36	inner	912.2.cn.a.91.54	✓	960

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
912.2.cn.a.91.54	✓	960	304.91	even	36	inner
912.2.cn.a.451.54	yes	960	1.1	even	1	trivial
912.2.cn.a.547.10	yes	960	19.15	odd	18	inner
912.2.cn.a.907.10	yes	960	16.11	odd	4	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:	\( N \)	\(=\)	\( 912 = 2^{4} \cdot 3 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	912.cn (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.667722 - 1.24665i) q^{2} +(-0.819152 + 0.573576i) q^{3} +(-1.10829 - 1.66484i) q^{4} +(3.18297 - 0.278474i) q^{5} +(0.168086 + 1.40419i) q^{6} +(-0.267005 - 0.462466i) q^{7} +(-2.81551 + 0.270011i) q^{8} +(0.342020 - 0.939693i) q^{9} +O(q^{10})\)	\(q+(0.667722 - 1.24665i) q^{2} +(-0.819152 + 0.573576i) q^{3} +(-1.10829 - 1.66484i) q^{4} +(3.18297 - 0.278474i) q^{5} +(0.168086 + 1.40419i) q^{6} +(-0.267005 - 0.462466i) q^{7} +(-2.81551 + 0.270011i) q^{8} +(0.342020 - 0.939693i) q^{9} +(1.77818 - 4.15401i) q^{10} +(5.43168 - 1.45541i) q^{11} +(1.86277 + 0.728064i) q^{12} +(-5.10634 - 3.57550i) q^{13} +(-0.754820 + 0.0240639i) q^{14} +(-2.44761 + 2.05379i) q^{15} +(-1.54337 + 3.69026i) q^{16} +(-0.691163 + 0.251563i) q^{17} +(-0.943097 - 1.05383i) q^{18} +(-0.0676736 + 4.35837i) q^{19} +(-3.99128 - 4.99050i) q^{20} +(0.483977 + 0.225682i) q^{21} +(1.81246 - 7.74324i) q^{22} +(5.85324 - 4.91145i) q^{23} +(2.15146 - 1.83609i) q^{24} +(5.12973 - 0.904510i) q^{25} +(-7.86702 + 3.97840i) q^{26} +(0.258819 + 0.965926i) q^{27} +(-0.474010 + 0.957067i) q^{28} +(5.78810 - 2.69904i) q^{29} +(0.926042 + 4.42269i) q^{30} +(0.448498 + 0.776821i) q^{31} +(3.56994 + 4.38812i) q^{32} +(-3.61458 + 4.30769i) q^{33} +(-0.147893 + 1.02962i) q^{34} +(-0.978653 - 1.39766i) q^{35} +(-1.94349 + 0.472048i) q^{36} +(-7.71918 - 7.71918i) q^{37} +(5.38820 + 2.99455i) q^{38} +6.23369 q^{39} +(-8.88650 + 1.64348i) q^{40} +(0.589274 - 3.34194i) q^{41} +(0.604509 - 0.452659i) q^{42} +(-0.0274998 - 0.314324i) q^{43} +(-8.44293 - 7.42984i) q^{44} +(0.826961 - 3.08626i) q^{45} +(-2.21454 - 10.5765i) q^{46} +(-2.15257 + 5.91413i) q^{47} +(-0.852392 - 3.90812i) q^{48} +(3.35742 - 5.81522i) q^{49} +(2.29762 - 6.99896i) q^{50} +(0.421877 - 0.602503i) q^{51} +(-0.293297 + 12.4639i) q^{52} +(-9.60571 - 0.840391i) q^{53} +(1.37699 + 0.322312i) q^{54} +(16.8836 - 6.14513i) q^{55} +(0.876625 + 1.22998i) q^{56} +(-2.44443 - 3.60899i) q^{57} +(0.500079 - 9.01797i) q^{58} +(2.73940 - 5.87466i) q^{59} +(6.13190 + 1.79867i) q^{60} +(-0.196037 - 0.0171510i) q^{61} +(1.26790 - 0.0404211i) q^{62} +(-0.525896 + 0.0927297i) q^{63} +(7.85419 - 1.52043i) q^{64} +(-17.2490 - 9.95872i) q^{65} +(2.95667 + 7.38248i) q^{66} +(4.82409 + 10.3453i) q^{67} +(1.18482 + 0.871869i) q^{68} +(-1.97760 + 7.38051i) q^{69} +(-2.39587 + 0.286792i) q^{70} +(-6.59055 + 7.85431i) q^{71} +(-0.709234 + 2.73806i) q^{72} +(-4.98959 - 0.879800i) q^{73} +(-14.7774 + 4.46888i) q^{74} +(-3.68322 + 3.68322i) q^{75} +(7.33099 - 4.71769i) q^{76} +(-2.12336 - 2.12336i) q^{77} +(4.16237 - 7.77125i) q^{78} +(0.492149 - 2.79111i) q^{79} +(-3.88486 + 12.1758i) q^{80} +(-0.766044 - 0.642788i) q^{81} +(-3.77277 - 2.96611i) q^{82} +(1.99011 + 0.533250i) q^{83} +(-0.160665 - 1.05586i) q^{84} +(-2.12990 + 0.993189i) q^{85} +(-0.410216 - 0.175599i) q^{86} +(-3.19323 + 5.53084i) q^{87} +(-14.9000 + 5.56435i) q^{88} +(1.28800 + 7.30463i) q^{89} +(-3.29532 - 3.09170i) q^{90} +(-0.290128 + 3.31618i) q^{91} +(-14.6639 - 4.30136i) q^{92} +(-0.812954 - 0.379087i) q^{93} +(5.93556 + 6.63250i) q^{94} +(0.998291 + 13.8914i) q^{95} +(-5.44124 - 1.54690i) q^{96} +(2.60095 + 7.14605i) q^{97} +(-5.00774 - 8.06849i) q^{98} +(0.490102 - 5.60189i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 960 q+O(q^{10}) \) 960 * q	\( 960 q + 48 q^{10} + 12 q^{16} - 60 q^{32} - 120 q^{34} + 12 q^{36} + 108 q^{38} + 60 q^{40} + 180 q^{46} - 480 q^{49} - 108 q^{50} - 24 q^{51} + 48 q^{52} + 12 q^{54} + 72 q^{68} - 144 q^{69} - 72 q^{70} - 48 q^{76} + 72 q^{78} - 120 q^{80} + 120 q^{82} + 96 q^{85} + 84 q^{98}+O(q^{100}) \) 960 * q + 48 * q^10 + 12 * q^16 - 60 * q^32 - 120 * q^34 + 12 * q^36 + 108 * q^38 + 60 * q^40 + 180 * q^46 - 480 * q^49 - 108 * q^50 - 24 * q^51 + 48 * q^52 + 12 * q^54 + 72 * q^68 - 144 * q^69 - 72 * q^70 - 48 * q^76 + 72 * q^78 - 120 * q^80 + 120 * q^82 + 96 * q^85 + 84 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more