LMFDB - Embedded newform 95.2.r.a.78.3

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [95,2,Mod(2,95)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(95, base_ring=CyclotomicField(36)) chi = DirichletCharacter(H, H._module([9, 2])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("95.2"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.r (of order $36$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$8$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			78.3
Character	$\chi$	$=$	95.78
Dual form			95.2.r.a.67.3

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.40505 + 0.983828i) q^{2} +(2.46557 - 0.215709i) q^{3} +(0.322212 - 0.885271i) q^{4} +(1.41273 - 1.73326i) q^{5} +(-3.25203 + 2.72877i) q^{6} +(-0.277305 - 0.0743036i) q^{7} +(-0.469650 - 1.75276i) q^{8} +(3.07806 - 0.542745i) q^{9} +(-0.279734 + 3.82520i) q^{10} +(-2.29500 + 3.97505i) q^{11} +(0.603475 - 2.25220i) q^{12} +(-0.215819 + 2.46682i) q^{13} +(0.462730 - 0.168420i) q^{14} +(3.10931 - 4.57820i) q^{15} +(3.82765 + 3.21178i) q^{16} +(-2.76411 - 3.94756i) q^{17} +(-3.79086 + 3.79086i) q^{18} +(-1.73832 + 3.99728i) q^{19} +(-1.07920 - 1.80913i) q^{20} +(-0.699742 - 0.123383i) q^{21} +(-0.686176 - 7.84303i) q^{22} +(-3.21082 - 6.88562i) q^{23} +(-1.53604 - 4.22023i) q^{24} +(-1.00837 - 4.89726i) q^{25} +(-2.12369 - 3.67833i) q^{26} +(0.300132 - 0.0804202i) q^{27} +(-0.155130 + 0.221548i) q^{28} +(-0.000506761 - 0.00287398i) q^{29} +(0.135429 + 9.49163i) q^{30} +(2.87440 - 1.65954i) q^{31} +(-4.92252 - 0.430665i) q^{32} +(-4.80101 + 10.2958i) q^{33} +(7.76743 + 2.82711i) q^{34} +(-0.520545 + 0.375670i) q^{35} +(0.511312 - 2.89980i) q^{36} +(5.46158 + 5.46158i) q^{37} +(-1.49020 - 7.32659i) q^{38} +6.12865i q^{39} +(-3.70147 - 1.66215i) q^{40} +(0.132829 - 0.158299i) q^{41} +(1.10456 - 0.515065i) q^{42} +(0.181834 + 0.0847905i) q^{43} +(2.77952 + 3.31250i) q^{44} +(3.40776 - 6.10183i) q^{45} +(11.2856 + 6.51576i) q^{46} +(4.12905 + 2.89119i) q^{47} +(10.1301 + 7.09320i) q^{48} +(-5.99080 - 3.45879i) q^{49} +(6.23488 + 5.88884i) q^{50} +(-7.66662 - 9.13672i) q^{51} +(2.11426 + 0.985897i) q^{52} +(2.39334 - 1.11603i) q^{53} +(-0.342582 + 0.408273i) q^{54} +(3.64758 + 9.59350i) q^{55} +0.520945i q^{56} +(-3.42370 + 10.2305i) q^{57} +(0.00353953 + 0.00353953i) q^{58} +(-0.369926 + 2.09795i) q^{59} +(-3.05109 - 4.22773i) q^{60} +(-3.76621 - 1.37079i) q^{61} +(-2.40598 + 5.15965i) q^{62} +(-0.893889 - 0.0782052i) q^{63} +(-1.31435 + 0.758840i) q^{64} +(3.97074 + 3.85902i) q^{65} +(-3.38362 - 19.1895i) q^{66} +(5.20141 - 7.42839i) q^{67} +(-4.38529 + 1.17503i) q^{68} +(-9.40177 - 16.2843i) q^{69} +(0.361798 - 1.03996i) q^{70} +(4.33266 + 11.9039i) q^{71} +(-2.39691 - 5.14019i) q^{72} +(-0.941200 - 10.7580i) q^{73} +(-13.0471 - 2.30055i) q^{74} +(-3.54260 - 11.8570i) q^{75} +(2.97856 + 2.82686i) q^{76} +(0.931774 - 0.931774i) q^{77} +(-6.02954 - 8.61107i) q^{78} +(4.20092 + 3.52499i) q^{79} +(10.9743 - 2.09692i) q^{80} +(-8.08850 + 2.94397i) q^{81} +(-0.0308922 + 0.353099i) q^{82} +(-4.13763 + 15.4419i) q^{83} +(-0.334693 + 0.579705i) q^{84} +(-10.7471 - 0.785925i) q^{85} +(-0.338905 + 0.0597581i) q^{86} +(-0.00186940 - 0.00697668i) q^{87} +(8.04514 + 2.15569i) q^{88} +(12.1125 - 10.1636i) q^{89} +(1.21507 + 11.9260i) q^{90} +(0.243141 - 0.668024i) q^{91} +(-7.13020 + 0.623812i) q^{92} +(6.72905 - 4.71173i) q^{93} -8.64596 q^{94} +(4.47253 + 8.66005i) q^{95} -12.2297 q^{96} +(-4.88649 + 3.42156i) q^{97} +(11.8202 - 1.03414i) q^{98} +(-4.90670 + 13.4810i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8} - 12 q^{10} - 12 q^{11} - 18 q^{12} - 12 q^{13} + 6 q^{15} + 12 q^{16} - 30 q^{17} - 84 q^{20} + 24 q^{21} - 24 q^{22} + 12 q^{25} - 48 q^{26}+ \cdots - 90 q^{98}+O(q^{100}) $ 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8 - 12 * q^10 - 12 * q^11 - 18 * q^12 - 12 * q^13 + 6 * q^15 + 12 * q^16 - 30 * q^17 - 84 * q^20 + 24 * q^21 - 24 * q^22 + 12 * q^25 - 48 * q^26 - 18 * q^27 - 6 * q^30 - 36 * q^31 + 18 * q^32 + 90 * q^33 - 30 * q^35 + 24 * q^36 + 54 * q^38 + 54 * q^40 + 12 * q^41 + 24 * q^42 + 48 * q^43 + 12 * q^45 - 36 * q^46 - 24 * q^47 + 60 * q^48 + 126 * q^50 - 96 * q^51 - 30 * q^53 + 18 * q^55 - 66 * q^57 + 120 * q^58 + 84 * q^60 - 48 * q^61 + 60 * q^62 - 126 * q^63 + 72 * q^65 + 72 * q^66 + 108 * q^67 + 18 * q^68 + 36 * q^70 - 24 * q^71 + 48 * q^72 + 6 * q^73 + 60 * q^76 + 168 * q^77 - 138 * q^78 - 60 * q^80 - 120 * q^81 + 60 * q^82 - 36 * q^85 - 180 * q^86 - 6 * q^87 - 198 * q^88 - 270 * q^90 - 24 * q^91 - 72 * q^92 - 90 * q^93 - 24 * q^95 - 192 * q^96 - 72 * q^97 - 90 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−1.40505	+	0.983828i	−0.993521	+	0.695671i	−0.952831	−	0.303501i	$-0.901845\pi$
$2$	−1.40505	+	0.983828i	−0.993521	+	0.695671i	−0.0406901	+	0.999172i	$0.512956\pi$
$3$	2.46557	−	0.215709i	1.42349	−	0.124540i	0.650767	−	0.759277i	$-0.274447\pi$
$3$	2.46557	−	0.215709i	1.42349	−	0.124540i	0.772728	+	0.634738i	$0.218892\pi$
$4$	0.322212	−	0.885271i	0.161106	−	0.442635i
$5$	1.41273	−	1.73326i	0.631793	−	0.775137i
$5$	1.41273	−	1.73326i	0.631793	−	0.775137i
$6$	−3.25203	+	2.72877i	−1.32763	+	1.11402i
$7$	−0.277305	−	0.0743036i	−0.104811	−	0.0280841i	0.206032	−	0.978545i	$-0.433945\pi$
$7$	−0.277305	−	0.0743036i	−0.104811	−	0.0280841i	−0.310844	+	0.950461i	$0.600612\pi$
$8$	−0.469650	−	1.75276i	−0.166046	−	0.619693i
$9$	3.07806	−	0.542745i	1.02602	−	0.180915i
$10$	−0.279734	+	3.82520i	−0.0884596	+	1.20964i
$11$	−2.29500	+	3.97505i	−0.691967	+	1.19852i	0.279225	+	0.960226i	$0.409922\pi$
$11$	−2.29500	+	3.97505i	−0.691967	+	1.19852i	−0.971192	+	0.238297i	$0.923411\pi$
$12$	0.603475	−	2.25220i	0.174208	−	0.650153i
$13$	−0.215819	+	2.46682i	−0.0598573	+	0.684172i	0.905689	+	0.423942i	$0.139354\pi$
$13$	−0.215819	+	2.46682i	−0.0598573	+	0.684172i	−0.965547	+	0.260230i	$0.916202\pi$
$14$	0.462730	−	0.168420i	0.123670	−	0.0450121i
$15$	3.10931	−	4.57820i	0.802819	−	1.18209i
$16$	3.82765	+	3.21178i	0.956913	+	0.802946i
$17$	−2.76411	−	3.94756i	−0.670395	−	0.957423i	−0.999912	−	0.0132738i	$-0.995775\pi$
$17$	−2.76411	−	3.94756i	−0.670395	−	0.957423i	0.329517	−	0.944150i	$-0.393114\pi$
$18$	−3.79086	+	3.79086i	−0.893515	+	0.893515i
$19$	−1.73832	+	3.99728i	−0.398799	+	0.917038i
$19$	−1.73832	+	3.99728i	−0.398799	+	0.917038i
$20$	−1.07920	−	1.80913i	−0.241317	−	0.404533i
$21$	−0.699742	−	0.123383i	−0.152696	−	0.0269244i
$22$	−0.686176	−	7.84303i	−0.146293	−	1.67214i
$23$	−3.21082	−	6.88562i	−0.669501	−	1.43575i	−0.887968	−	0.459906i	$-0.847883\pi$
$23$	−3.21082	−	6.88562i	−0.669501	−	1.43575i	0.218466	−	0.975845i	$-0.429895\pi$
$24$	−1.53604	−	4.22023i	−0.313543	−	0.861451i
$25$	−1.00837	−	4.89726i	−0.201675	−	0.979453i
$26$	−2.12369	−	3.67833i	−0.416489	−	0.721380i
$27$	0.300132	−	0.0804202i	0.0577605	−	0.0154769i
$28$	−0.155130	+	0.221548i	−0.0293168	+	0.0418687i
$29$	−0.000506761	−	0.00287398i	−9.41031e−5	−	0.000533685i	0.984761	−	0.173915i	$-0.0556418\pi$
$29$	−0.000506761	−	0.00287398i	−9.41031e−5	−	0.000533685i	−0.984855	+	0.173381i	$0.944531\pi$
$30$	0.135429	+	9.49163i	0.0247258	+	1.73293i
$31$	2.87440	−	1.65954i	0.516258	−	0.298062i	−0.219144	−	0.975692i	$-0.570327\pi$
$31$	2.87440	−	1.65954i	0.516258	−	0.298062i	0.735402	+	0.677631i	$0.236993\pi$
$32$	−4.92252	−	0.430665i	−0.870187	−	0.0761315i
$33$	−4.80101	+	10.2958i	−0.835748	+	1.79227i
$34$	7.76743	+	2.82711i	1.33210	+	0.484846i
$35$	−0.520545	+	0.375670i	−0.0879882	+	0.0634998i
$36$	0.511312	−	2.89980i	0.0852187	−	0.483299i
$37$	5.46158	+	5.46158i	0.897878	+	0.897878i	0.995248	−	0.0973701i	$-0.0310431\pi$
$37$	5.46158	+	5.46158i	0.897878	+	0.897878i	−0.0973701	+	0.995248i	$0.531043\pi$
$38$	−1.49020	−	7.32659i	−0.241742	−	1.18853i
$39$			6.12865i			0.981370i
$40$	−3.70147	−	1.66215i	−0.585254	−	0.262809i
$41$	0.132829	−	0.158299i	0.0207444	−	0.0247222i	−0.755573	−	0.655065i	$-0.772641\pi$
$41$	0.132829	−	0.158299i	0.0207444	−	0.0247222i	0.776317	+	0.630343i	$0.217086\pi$
$42$	1.10456	−	0.515065i	0.170437	−	0.0794763i
$43$	0.181834	+	0.0847905i	0.0277294	+	0.0129304i	0.436433	−	0.899737i	$-0.356241\pi$
$43$	0.181834	+	0.0847905i	0.0277294	+	0.0129304i	−0.408704	+	0.912667i	$0.634019\pi$
$44$	2.77952	+	3.31250i	0.419028	+	0.499379i
$45$	3.40776	−	6.10183i	0.507999	−	0.909607i
$46$	11.2856	+	6.51576i	1.66397	+	0.960696i
$47$	4.12905	+	2.89119i	0.602284	+	0.421724i	0.834553	−	0.550928i	$-0.185726\pi$
$47$	4.12905	+	2.89119i	0.602284	+	0.421724i	−0.232269	+	0.972652i	$0.574615\pi$
$48$	10.1301	+	7.09320i	1.46216	+	1.02382i
$49$	−5.99080	−	3.45879i	−0.855829	−	0.494113i
$50$	6.23488	+	5.88884i	0.881745	+	0.832808i
$51$	−7.66662	−	9.13672i	−1.07354	−	1.27940i
$52$	2.11426	+	0.985897i	0.293195	+	0.136719i
$53$	2.39334	−	1.11603i	0.328751	−	0.153299i	−0.251234	−	0.967926i	$-0.580836\pi$
$53$	2.39334	−	1.11603i	0.328751	−	0.153299i	0.579985	+	0.814627i	$0.303058\pi$
$54$	−0.342582	+	0.408273i	−0.0466194	+	0.0555589i
$55$	3.64758	+	9.59350i	0.491839	+	1.29359i
$56$			0.520945i			0.0696142i
$57$	−3.42370	+	10.2305i	−0.453481	+	1.35507i
$58$	0.00353953	+	0.00353953i	0.000464763	+	0.000464763i
$59$	−0.369926	+	2.09795i	−0.0481602	+	0.273130i	−0.999373	−	0.0354053i	$-0.988728\pi$
$59$	−0.369926	+	2.09795i	−0.0481602	+	0.273130i	0.951213	+	0.308536i	$0.0998389\pi$
$60$	−3.05109	−	4.22773i	−0.393895	−	0.545798i
$61$	−3.76621	−	1.37079i	−0.482214	−	0.175511i	0.0894634	−	0.995990i	$-0.471485\pi$
$61$	−3.76621	−	1.37079i	−0.482214	−	0.175511i	−0.571677	+	0.820479i	$0.693707\pi$
$62$	−2.40598	+	5.15965i	−0.305560	+	0.655276i
$63$	−0.893889	−	0.0782052i	−0.112619	−	0.00985293i
$64$	−1.31435	+	0.758840i	−0.164294	+	0.0948550i
$65$	3.97074	+	3.85902i	0.492510	+	0.478653i
$66$	−3.38362	−	19.1895i	−0.416495	−	2.36206i
$67$	5.20141	−	7.42839i	0.635454	−	0.907522i	−0.364263	−	0.931296i	$-0.618679\pi$
$67$	5.20141	−	7.42839i	0.635454	−	0.907522i	0.999717	+	0.0237737i	$0.00756811\pi$
$68$	−4.38529	+	1.17503i	−0.531794	+	0.142494i
$69$	−9.40177	−	16.2843i	−1.13184	−	1.96040i
$70$	0.361798	−	1.03996i	0.0432431	−	0.124299i
$71$	4.33266	+	11.9039i	0.514192	+	1.41273i	0.876830	+	0.480800i	$0.159654\pi$
$71$	4.33266	+	11.9039i	0.514192	+	1.41273i	−0.362639	+	0.931930i	$0.618124\pi$
$72$	−2.39691	−	5.14019i	−0.282479	−	0.605778i
$73$	−0.941200	−	10.7580i	−0.110159	−	1.25912i	−0.827126	−	0.562017i	$-0.810026\pi$
$73$	−0.941200	−	10.7580i	−0.110159	−	1.25912i	0.716967	−	0.697108i	$-0.245530\pi$
$74$	−13.0471	−	2.30055i	−1.51669	−	0.267433i
$75$	−3.54260	−	11.8570i	−0.409064	−	1.36913i
$76$	2.97856	+	2.82686i	0.341665	+	0.324263i
$77$	0.931774	−	0.931774i	0.106186	−	0.106186i
$78$	−6.02954	−	8.61107i	−0.682711	−	0.975012i
$79$	4.20092	+	3.52499i	0.472641	+	0.396592i	0.847757	−	0.530385i	$-0.177953\pi$
$79$	4.20092	+	3.52499i	0.472641	+	0.396592i	−0.375116	+	0.926978i	$0.622397\pi$
$80$	10.9743	−	2.09692i	1.22696	−	0.234443i
$81$	−8.08850	+	2.94397i	−0.898723	+	0.327108i
$82$	−0.0308922	+	0.353099i	−0.00341147	+	0.0389933i
$83$	−4.13763	+	15.4419i	−0.454164	+	1.69496i	0.236368	+	0.971664i	$0.424043\pi$
$83$	−4.13763	+	15.4419i	−0.454164	+	1.69496i	−0.690533	+	0.723301i	$0.742624\pi$
$84$	−0.334693	+	0.579705i	−0.0365180	+	0.0632510i
$85$	−10.7471	−	0.785925i	−1.16569	−	0.0852455i
$86$	−0.338905	+	0.0597581i	−0.0365451	+	0.00644388i
$87$	−0.00186940	−	0.00697668i	−0.000200420	−	0.000747978i
$88$	8.04514	+	2.15569i	0.857615	+	0.229797i
$89$	12.1125	−	10.1636i	1.28392	−	1.07734i	0.291228	−	0.956654i	$-0.405936\pi$
$89$	12.1125	−	10.1636i	1.28392	−	1.07734i	0.992691	−	0.120683i	$-0.0385084\pi$
$90$	1.21507	+	11.9260i	0.128080	+	1.25711i
$91$	0.243141	−	0.668024i	0.0254881	−	0.0700280i
$92$	−7.13020	+	0.623812i	−0.743375	+	0.0650369i
$93$	6.72905	−	4.71173i	0.697770	−	0.488584i
$94$	−8.64596			−0.891763
$95$	4.47253	+	8.66005i	0.458872	+	0.888502i
$96$	−12.2297			−1.24819
$97$	−4.88649	+	3.42156i	−0.496148	+	0.347407i	−0.794716	−	0.606982i	$-0.792380\pi$
$97$	−4.88649	+	3.42156i	−0.496148	+	0.347407i	0.298567	+	0.954389i	$0.403491\pi$
$98$	11.8202	−	1.03414i	1.19402	−	0.104464i
$99$	−4.90670	+	13.4810i	−0.493142	+	1.35490i
$100$	−4.66031	−	0.685274i	−0.466031	−	0.0685274i
$101$	8.53219	−	7.15936i	0.848985	−	0.712383i	−0.110581	−	0.993867i	$-0.535271\pi$
$101$	8.53219	−	7.15936i	0.848985	−	0.712383i	0.959566	+	0.281484i	$0.0908267\pi$
$102$	19.7609	+	5.29493i	1.95663	+	0.524276i
$103$	−0.213557	−	0.797004i	−0.0210424	−	0.0785312i	0.954606	−	0.297871i	$-0.0962764\pi$
$103$	−0.213557	−	0.797004i	−0.0210424	−	0.0785312i	−0.975649	+	0.219340i	$0.929610\pi$
$104$	4.42509	−	0.780263i	0.433916	−	0.0765111i
$105$	−1.20240	+	1.03853i	−0.117343	+	0.101350i
$106$	−2.26479	+	3.92272i	−0.219975	+	0.381009i
$107$	−4.03536	+	15.0602i	−0.390113	+	1.45592i	0.439835	+	0.898079i	$0.355037\pi$
$107$	−4.03536	+	15.0602i	−0.390113	+	1.45592i	−0.829947	+	0.557842i	$0.811630\pi$
$108$	0.0255126	−	0.291611i	0.00245495	−	0.0280602i
$109$	8.88129	−	3.23252i	0.850673	−	0.309620i	0.120358	−	0.992731i	$-0.461596\pi$
$109$	8.88129	−	3.23252i	0.850673	−	0.309620i	0.730315	+	0.683111i	$0.239373\pi$
$110$	−14.5634	−	9.89078i	−1.38856	−	0.943049i
$111$	14.6440	+	12.2878i	1.38995	+	1.16630i
$112$	−0.822780	−	1.17505i	−0.0777454	−	0.111032i
$113$	−1.30423	+	1.30423i	−0.122692	+	0.122692i	−0.765787	−	0.643095i	$-0.777650\pi$
$113$	−1.30423	+	1.30423i	−0.122692	+	0.122692i	0.643095	+	0.765787i	$0.277650\pi$
$114$	−5.25459	−	17.7427i	−0.492137	−	1.66176i
$115$	−16.4706	−	4.16236i	−1.53589	−	0.388142i
$116$	−0.00270754		0.000477412i	−0.000251389		4.43266e-5i
$117$	0.674550	+	7.71014i	0.0623622	+	0.712803i
$118$	−1.54426	−	3.31168i	−0.142161	−	0.304864i
$119$	0.473183	+	1.30006i	0.0433767	+	0.119176i
$120$	−9.48477	−	3.29971i	−0.865837	−	0.301221i
$121$	−5.03401	−	8.71916i	−0.457637	−	0.792651i
$122$	6.64034	−	1.77927i	0.601188	−	0.161088i
$123$	0.293352	−	0.418950i	0.0264506	−	0.0377754i
$124$	−0.542972	−	3.07935i	−0.0487603	−	0.276534i
$125$	−9.91279	−	5.17075i	−0.886627	−	0.462486i
$126$	1.33290	−	0.769551i	0.118744	−	0.0685570i
$127$	10.0380	+	0.878208i	0.890725	+	0.0779284i	0.523324	−	0.852134i	$-0.324692\pi$
$127$	10.0380	+	0.878208i	0.890725	+	0.0779284i	0.367402	+	0.930062i	$0.380247\pi$
$128$	5.27675	−	11.3160i	0.466403	−	1.00020i
$129$	0.466613	+	0.169833i	0.0410830	+	0.0149530i
$130$	−9.37570	−	1.51560i	−0.822304	−	0.132927i
$131$	3.39696	−	19.2651i	0.296794	−	1.68320i	−0.363026	−	0.931779i	$-0.618256\pi$
$131$	3.39696	−	19.2651i	0.296794	−	1.68320i	0.659820	−	0.751423i	$-0.270632\pi$
$132$	7.56763	+	7.56763i	0.658677	+	0.658677i
$133$	0.779058	−	0.979301i	0.0675529	−	0.0849162i
$134$			15.5546i			1.34371i
$135$	0.284617	−	0.633819i	0.0244960	−	0.0545505i
$136$	−5.62095	+	6.69879i	−0.481992	+	0.574416i
$137$	−9.65926	+	4.50418i	−0.825246	+	0.384818i	−0.788901	−	0.614521i	$-0.789349\pi$
$137$	−9.65926	+	4.50418i	−0.825246	+	0.384818i	−0.0363453	+	0.999339i	$0.511572\pi$
$138$	29.2309	+	13.6306i	2.48830	+	1.16031i
$139$	9.87278	+	11.7659i	0.837399	+	0.997973i	0.999936	+	0.0112706i	$0.00358761\pi$
$139$	9.87278	+	11.7659i	0.837399	+	0.997973i	−0.162538	+	0.986702i	$0.551968\pi$
$140$	0.164844	+	0.581869i	0.0139318	+	0.0491769i
$141$	10.8041	+	6.23775i	0.909869	+	0.525313i
$142$	−17.7990	−	12.4630i	−1.49366	−	1.04587i
$143$	−9.31042	−	6.51922i	−0.778576	−	0.545165i
$144$	13.5249	+	7.80862i	1.12708	+	0.650718i
$145$	−0.00569727	−	0.00318182i	−0.000473133	−	0.000264236i
$146$	11.9064	+	14.1895i	0.985382	+	1.17433i
$147$	−15.5168	−	7.23560i	−1.27980	−	0.596783i
$148$	6.59477	−	3.07519i	0.542086	−	0.252779i
$149$	−6.22102	+	7.41392i	−0.509646	+	0.607372i	−0.958100	−	0.286434i	$-0.907530\pi$
$149$	−6.22102	+	7.41392i	−0.509646	+	0.607372i	0.448454	+	0.893806i	$0.351975\pi$
$150$	16.6428	+	13.1744i	1.35888	+	1.07569i
$151$		−	3.10459i		−	0.252648i	−0.991989	−	0.126324i	$-0.959682\pi$
$151$		−	3.10459i		−	0.252648i	0.991989	−	0.126324i	$-0.0403179\pi$
$152$	7.82266	+	1.16954i	0.634502	+	0.0948623i
$153$	−10.6506	−	10.6506i	−0.861051	−	0.861051i
$154$	−0.392486	+	2.22590i	−0.0316274	+	0.179368i
$155$	1.18435	−	7.32657i	0.0951296	−	0.588484i
$156$	5.42552	+	1.97473i	0.434389	+	0.158105i
$157$	6.82378	−	14.6336i	0.544597	−	1.16789i	−0.420811	−	0.907148i	$-0.638254\pi$
$157$	6.82378	−	14.6336i	0.544597	−	1.16789i	0.965408	−	0.260744i	$-0.0839678\pi$
$158$	−9.37049	−	0.819812i	−0.745476	−	0.0652207i
$159$	5.66021	−	3.26792i	0.448884	−	0.259163i
$160$	−7.70066	+	7.92359i	−0.608791	+	0.626415i
$161$	0.378749	+	2.14799i	0.0298496	+	0.169285i
$162$	8.46840	−	12.0941i	0.665340	−	0.950204i
$163$	−0.0798713	+	0.0214015i	−0.00625600	+	0.00167629i	−0.261946	−	0.965083i	$-0.584364\pi$
$163$	−0.0798713	+	0.0214015i	−0.00625600	+	0.00167629i	0.255690	+	0.966759i	$0.417697\pi$
$164$	−0.0973387	−	0.168596i	−0.00760088	−	0.0131651i
$165$	11.0627	+	22.8666i	0.861233	+	1.78016i
$166$	−9.37854	−	25.7673i	−0.727916	−	1.99993i
$167$	−3.64429	−	7.81520i	−0.282003	−	0.604758i	0.713376	−	0.700782i	$-0.247165\pi$
$167$	−3.64429	−	7.81520i	−0.282003	−	0.604758i	−0.995379	+	0.0960237i	$0.969388\pi$
$168$	0.112373	+	1.28442i	0.00866973	+	0.0990955i
$169$	6.76389	+	1.19266i	0.520299	+	0.0917428i
$170$	15.8734	−	9.46902i	1.21744	−	0.726240i
$171$	−3.18117	+	13.2473i	−0.243270	+	1.01305i
$172$	0.133652	−	0.133652i	0.0101908	−	0.0101908i
$173$	−5.41875	−	7.73878i	−0.411980	−	0.588369i	0.558514	−	0.829495i	$-0.311372\pi$
$173$	−5.41875	−	7.73878i	−0.411980	−	0.588369i	−0.970494	+	0.241127i	$0.922483\pi$
$174$	0.00949044	+	0.00796343i	0.000719469	+	0.000603706i
$175$	−0.0842574	+	1.43296i	−0.00636926	+	0.108322i
$176$	−21.5514	+	7.84408i	−1.62450	+	0.591270i
$177$	−0.459529	+	5.25244i	−0.0345403	+	0.394797i
$178$	−7.01944	+	26.1969i	−0.526130	+	1.96354i
$179$	−3.58941	+	6.21705i	−0.268285	+	0.464684i	−0.968419	−	0.249328i	$-0.919790\pi$
$179$	−3.58941	+	6.21705i	−0.268285	+	0.464684i	0.700134	+	0.714012i	$0.253124\pi$
$180$	−4.30375	−	4.98287i	−0.320783	−	0.371401i
$181$	−1.58706	+	0.279841i	−0.117965	+	0.0208004i	−0.232319	−	0.972640i	$-0.574631\pi$
$181$	−1.58706	+	0.279841i	−0.117965	+	0.0208004i	0.114354	+	0.993440i	$0.463520\pi$
$182$	0.315595	+	1.17782i	0.0233935	+	0.0873056i
$183$	−9.58153	−	2.56736i	−0.708287	−	0.189785i
$184$	−10.5609	+	8.86161i	−0.778557	+	0.653287i
$185$	17.1821	−	1.75058i	1.26325	−	0.128705i
$186$	−4.81913	+	13.2404i	−0.353356	+	0.970837i
$187$	22.0354	−	1.92784i	1.61139	−	0.140978i
$188$	3.88992	−	2.72375i	0.283702	−	0.198650i
$189$	−0.0892037			−0.00648861
$190$	−14.8041	−	7.76762i	−1.07400	−	0.563522i
$191$	4.58246			0.331575			0.165787	−	0.986162i	$-0.446983\pi$
$191$	4.58246			0.331575			0.165787	+	0.986162i	$0.446983\pi$
$192$	−3.07693	+	2.15449i	−0.222058	+	0.155487i
$193$	−12.2179	+	1.06893i	−0.879464	+	0.0769431i	−0.517937	−	0.855419i	$-0.673300\pi$
$193$	−12.2179	+	1.06893i	−0.879464	+	0.0769431i	−0.361526	+	0.932362i	$0.617744\pi$
$194$	3.49955	−	9.61494i	0.251253	−	0.690312i
$195$	10.6225	+	8.65815i	0.760696	+	0.620023i
$196$	−4.99228	+	4.18902i	−0.356591	+	0.299216i
$197$	−0.162978	−	0.0436698i	−0.0116117	−	0.00311135i	0.253009	−	0.967464i	$-0.418580\pi$
$197$	−0.162978	−	0.0436698i	−0.0116117	−	0.00311135i	−0.264620	+	0.964353i	$0.585247\pi$
$198$	−6.36886	−	23.7689i	−0.452615	−	1.68918i
$199$	4.92176	−	0.867839i	0.348894	−	0.0615195i	0.00354503	−	0.999994i	$-0.498872\pi$
$199$	4.92176	−	0.867839i	0.348894	−	0.0615195i	0.345349	+	0.938474i	$0.387760\pi$
$200$	−8.11013	+	4.06743i	−0.573473	+	0.287611i
$201$	11.2221	−	19.4372i	0.791543	−	1.37099i
$202$	−4.94459	+	18.4535i	−0.347900	+	1.29838i
$203$	−7.30201e−5	0	0.000834624i	−5.12501e−6	0	5.85791e-5i
$204$	−10.5588	+	3.84307i	−0.739260	+	0.269069i
$205$	−0.0867220	−	0.453862i	−0.00605693	−	0.0316991i
$206$	1.08417	+	0.909729i	0.0755379	+	0.0633838i
$207$	−13.6202	−	19.4517i	−0.946671	−	1.35199i
$208$	−8.74896	+	8.74896i	−0.606631	+	0.606631i
$209$	−11.8999	−	16.0837i	−0.823135	−	1.11253i
$210$	0.667708	−	2.64214i	0.0460762	−	0.182325i
$211$	−0.0936993	−	0.0165217i	−0.00645053	−	0.00113740i	0.170422	−	0.985371i	$-0.445487\pi$
$211$	−0.0936993	−	0.0165217i	−0.00645053	−	0.00113740i	−0.176873	+	0.984234i	$0.556598\pi$
$212$	−0.216828	−	2.47836i	−0.0148918	−	0.170214i
$213$	13.2502	+	28.4152i	0.907890	+	1.94698i
$214$	−9.14671	−	25.1304i	−0.625257	−	1.71788i
$215$	0.403846	−	0.195379i	0.0275421	−	0.0133247i
$216$	−0.281914	−	0.488290i	−0.0191818	−	0.0332239i
$217$	−0.920396	+	0.246619i	−0.0624805	+	0.0167416i
$218$	−9.29842	+	13.2795i	−0.629768	+	0.899402i
$219$	−4.64118	−	26.3214i	−0.313622	−	1.77864i
$220$	9.66814	−	0.137948i	0.651826	−	0.00930042i
$221$	10.3344	−	5.96660i	0.695170	−	0.401357i
$222$	−32.6646	−	2.85778i	−2.19231	−	0.191802i
$223$	−0.290463	+	0.622900i	−0.0194508	+	0.0417125i	−0.915793	−	0.401650i	$-0.868437\pi$
$223$	−0.290463	+	0.622900i	−0.0194508	+	0.0417125i	0.896342	+	0.443363i	$0.146215\pi$
$224$	1.33304	+	0.485187i	0.0890675	+	0.0324179i
$225$	−5.76180	−	14.5268i	−0.384120	−	0.968452i
$226$	0.549375	−	3.11566i	0.0365439	−	0.207250i
$227$	−3.13234	−	3.13234i	−0.207901	−	0.207901i	0.595474	−	0.803375i	$-0.296964\pi$
$227$	−3.13234	−	3.13234i	−0.207901	−	0.207901i	−0.803375	+	0.595474i	$0.796964\pi$
$228$	7.95362	+	6.32731i	0.526742	+	0.419036i
$229$		−	1.64132i		−	0.108462i	−0.998528	−	0.0542308i	$-0.982729\pi$
$229$		−	1.64132i		−	0.108462i	0.998528	−	0.0542308i	$-0.0172707\pi$
$230$	27.2371	−	10.3559i	1.79596	−	0.682847i
$231$	2.09636	−	2.49834i	0.137930	−	0.164379i
$232$	−0.00479939	+	0.00223799i	−0.000315096	+	0.000146932i
$233$	8.75832	+	4.08407i	0.573776	+	0.267556i	0.687774	−	0.725925i	$-0.258588\pi$
$233$	8.75832	+	4.08407i	0.573776	+	0.267556i	−0.113998	+	0.993481i	$0.536366\pi$
$234$	−8.53323	−	10.1695i	−0.557835	−	0.664802i
$235$	10.8444	−	3.07223i	0.707413	−	0.200410i
$236$	1.73806	+	1.00347i	0.113138	+	0.0653204i
$237$	11.1180	+	7.78492i	0.722193	+	0.505685i
$238$	−1.94388	−	1.36112i	−0.126003	−	0.0882284i
$239$	5.41584	+	3.12684i	0.350321	+	0.202258i	0.664827	−	0.746998i	$-0.268505\pi$
$239$	5.41584	+	3.12684i	0.350321	+	0.202258i	−0.314505	+	0.949256i	$0.601839\pi$
$240$	26.6055	−	7.53736i	1.71738	−	0.486535i
$241$	−8.06290	−	9.60899i	−0.519377	−	0.618970i	0.441056	−	0.897479i	$-0.354604\pi$
$241$	−8.06290	−	9.60899i	−0.519377	−	0.618970i	−0.960433	+	0.278510i	$0.910159\pi$
$242$	15.6512	+	7.29827i	1.00610	+	0.469151i
$243$	−20.1525	+	9.39727i	−1.29278	+	0.602835i
$244$	−2.42704	+	2.89243i	−0.155375	+	0.185169i
$245$	−14.4584	+	5.49726i	−0.923712	+	0.351207i
$246$			0.877254i			0.0559316i
$247$	−9.48539	−	5.15081i	−0.603541	−	0.327739i
$248$	−4.25873	−	4.25873i	−0.270430	−	0.270430i
$249$	−6.87066	+	38.9654i	−0.435410	+	2.46934i
$250$	19.0151	−	2.48730i	1.20262	−	0.157311i
$251$	−8.58890	−	3.12610i	−0.542127	−	0.197318i	0.0564182	−	0.998407i	$-0.482032\pi$
$251$	−8.58890	−	3.12610i	−0.542127	−	0.197318i	−0.598545	+	0.801089i	$0.704254\pi$
$252$	−0.357255	+	0.766136i	−0.0225049	+	0.0482620i
$253$	34.7395	+	3.03931i	2.18405	+	0.191080i
$254$	−14.9679	+	8.64170i	−0.939167	+	0.542228i
$255$	−26.6672	+	0.380494i	−1.66996	+	0.0238275i
$256$	3.19183	+	18.1018i	0.199489	+	1.13136i
$257$	−17.0588	+	24.3625i	−1.06410	+	1.51969i	−0.226040	+	0.974118i	$0.572578\pi$
$257$	−17.0588	+	24.3625i	−1.06410	+	1.51969i	−0.838062	+	0.545576i	$0.816311\pi$
$258$	−0.822702	+	0.220442i	−0.0512192	+	0.0137241i
$259$	−1.10871	−	1.92034i	−0.0688918	−	0.119324i
$260$	4.69570	−	2.27176i	0.291215	−	0.140888i
$261$	−0.00311968	−	0.00857125i	−0.000193103	−	0.000530547i
$262$	14.1807	+	30.4105i	0.876084	+	1.87877i
$263$	−1.37466	−	15.7124i	−0.0847649	−	0.968867i	−0.912858	−	0.408277i	$-0.866130\pi$
$263$	−1.37466	−	15.7124i	−0.0847649	−	0.968867i	0.828093	−	0.560590i	$-0.189426\pi$
$264$	20.3008	+	3.57958i	1.24943	+	0.220308i
$265$	1.44678	−	5.72494i	0.0888748	−	0.351680i
$266$	−0.131154	+	2.14243i	−0.00804154	+	0.131361i
$267$	27.6717	−	27.6717i	1.69348	−	1.69348i
$268$	−4.90018	−	6.99818i	−0.299326	−	0.427482i
$269$	8.63004	+	7.24147i	0.526183	+	0.441520i	0.866781	−	0.498689i	$-0.166185\pi$
$269$	8.63004	+	7.24147i	0.526183	+	0.441520i	−0.340598	+	0.940209i	$0.610629\pi$
$270$	0.223666	+	1.17056i	0.0136119	+	0.0712382i
$271$	−19.5383	+	7.11134i	−1.18686	+	0.431983i	−0.858621	−	0.512610i	$-0.828679\pi$
$271$	−19.5383	+	7.11134i	−1.18686	+	0.431983i	−0.328243	+	0.944593i	$0.606456\pi$
$272$	2.09864	−	23.9876i	0.127249	−	1.45446i
$273$	0.455381	−	1.69951i	0.0275609	−	0.102859i
$274$	9.14041	−	15.8317i	0.552192	−	0.956425i
$275$	21.7811	+	7.23086i	1.31345	+	0.436037i
$276$	−17.4454	+	3.07610i	−1.05009	+	0.185159i
$277$	−1.97611	−	7.37493i	−0.118733	−	0.443116i	0.880806	−	0.473477i	$-0.157001\pi$
$277$	−1.97611	−	7.37493i	−0.118733	−	0.443116i	−0.999539	+	0.0303603i	$0.990335\pi$
$278$	−25.4474	−	6.81861i	−1.52623	−	0.408953i
$279$	7.94688	−	6.66822i	0.475767	−	0.399216i
$280$	0.902933	+	0.735956i	0.0539606	+	0.0439818i
$281$	−1.88216	+	5.17119i	−0.112280	+	0.308488i	−0.983087	−	0.183137i	$-0.941375\pi$
$281$	−1.88216	+	5.17119i	−0.112280	+	0.308488i	0.870807	+	0.491625i	$0.163597\pi$
$282$	−21.3172	+	1.86501i	−1.26942	+	0.111060i
$283$	−9.45513	+	6.62055i	−0.562049	+	0.393551i	−0.819791	−	0.572663i	$-0.805910\pi$
$283$	−9.45513	+	6.62055i	−0.562049	+	0.393551i	0.257742	+	0.966214i	$0.417022\pi$
$284$	11.9342			0.708164
$285$	12.8954	+	20.3872i	0.763856	+	1.20763i
$286$	19.4954			1.15279
$287$	−0.0485963	+	0.0340275i	−0.00286855	+	0.00200858i
$288$	−15.3856	+	1.34606i	−0.906603	+	0.0793175i
$289$	−2.12857	+	5.84820i	−0.125210	+	0.344012i
$290$	0.0111353	−	0.00113451i	0.000653889	−	6.66209e-5i
$291$	−11.3099	+	9.49014i	−0.662999	+	0.556322i
$292$	−9.82698	−	2.63313i	−0.575080	−	0.154092i
$293$	6.28567	+	23.4584i	0.367213	+	1.37046i	0.864397	+	0.502811i	$0.167701\pi$
$293$	6.28567	+	23.4584i	0.367213	+	1.37046i	−0.497184	+	0.867645i	$0.665633\pi$
$294$	28.9205	−	5.09946i	1.68668	−	0.297407i
$295$	3.11369	+	3.60502i	0.181286	+	0.209893i
$296$	7.00780	−	12.1379i	0.407320	−	0.705499i
$297$	−0.369128	+	1.37760i	−0.0214190	+	0.0799367i
$298$	1.44683	−	16.5374i	0.0838127	−	0.957983i
$299$	17.6785	−	6.43445i	1.02237	−	0.372114i
$300$	−11.6381	−	0.684316i	−0.671928	−	0.0395090i
$301$	−0.0441232	−	0.0370237i	−0.00254322	−	0.00213401i
$302$	3.05438	+	4.36211i	0.175760	+	0.251011i
$303$	19.4923	−	19.4923i	1.11981	−	1.11981i
$304$	−19.4921	+	9.71707i	−1.11795	+	0.557312i
$305$	−7.69658	+	4.59126i	−0.440705	+	0.262895i
$306$	25.4430	+	4.48629i	1.45448	+	0.256464i
$307$	−0.397706	−	4.54580i	−0.0226983	−	0.259442i	−0.999062	−	0.0433075i	$-0.986210\pi$
$307$	−0.397706	−	4.54580i	−0.0226983	−	0.259442i	0.976364	−	0.216135i	$-0.0693451\pi$
$308$	−0.524644	−	1.12510i	−0.0298943	−	0.0641086i
$309$	−0.698459	−	1.91900i	−0.0397339	−	0.109168i
$310$	5.54400	+	11.4594i	0.314878	+	0.650850i
$311$	−2.78134	−	4.81742i	−0.157715	−	0.273171i	0.776329	−	0.630328i	$-0.217079\pi$
$311$	−2.78134	−	4.81742i	−0.157715	−	0.273171i	−0.934044	+	0.357157i	$0.883746\pi$
$312$	10.7420	−	2.87832i	0.608149	−	0.162953i
$313$	−5.80877	+	8.29578i	−0.328331	+	0.468905i	−0.949049	−	0.315129i	$-0.897952\pi$
$313$	−5.80877	+	8.29578i	−0.328331	+	0.468905i	0.620718	+	0.784034i	$0.286841\pi$
$314$	4.80922	+	27.2744i	0.271400	+	1.53919i
$315$	−1.39838	+	1.43886i	−0.0787896	+	0.0810705i
$316$	4.47416	−	2.58316i	0.251691	−	0.145314i
$317$	−25.6623	−	2.24516i	−1.44134	−	0.126101i	−0.660497	−	0.750829i	$-0.729654\pi$
$317$	−25.6623	−	2.24516i	−1.44134	−	0.126101i	−0.780843	+	0.624728i	$0.785210\pi$
$318$	−4.73781	+	10.1603i	−0.265683	+	0.569759i
$319$	0.0125872	+	0.00458138i	0.000704750	+	0.000256508i
$320$	−0.541558	+	3.35015i	−0.0302740	+	0.187279i
$321$	−6.70083	+	38.0023i	−0.374004	+	2.12108i
$322$	−2.64541	−	2.64541i	−0.147423	−	0.147423i
$323$	20.5844	−	4.18678i	1.14535	−	0.232959i
$324$			8.10910i			0.450506i
$325$	12.2983	−	1.43055i	0.682186	−	0.0793528i
$326$	0.0911679	−	0.108650i	0.00504933	−	0.00601755i
$327$	21.2001	−	9.88578i	1.17237	−	0.546685i
$328$	−0.339844	−	0.158472i	−0.0187647	−	0.00875013i
$329$	−0.930180	−	1.10855i	−0.0512825	−	0.0611161i
$330$	−38.0405	−	21.2449i	−2.09406	−	1.16949i
$331$	−11.0824	−	6.39845i	−0.609146	−	0.351690i	0.163485	−	0.986546i	$-0.447726\pi$
$331$	−11.0824	−	6.39845i	−0.609146	−	0.351690i	−0.772631	+	0.634855i	$0.781060\pi$
$332$	12.3370	+	8.63849i	0.677083	+	0.474098i
$333$	19.7753	+	13.8468i	1.08368	+	0.758801i
$334$	12.8092	+	7.39540i	0.700889	+	0.404658i
$335$	−5.52712	−	19.5097i	−0.301979	−	1.06593i
$336$	−2.28209	−	2.71969i	−0.124498	−	0.148371i
$337$	−18.5322	−	8.64171i	−1.00951	−	0.470744i	−0.153749	−	0.988110i	$-0.549135\pi$
$337$	−18.5322	−	8.64171i	−1.00951	−	0.470744i	−0.855764	+	0.517366i	$0.826913\pi$
$338$	−10.6770	+	4.97876i	−0.580751	+	0.270809i
$339$	−2.93434	+	3.49701i	−0.159371	+	0.189932i
$340$	−4.15860	+	9.26085i	−0.225532	+	0.502240i
$341$			15.2345i			0.824996i
$342$	−8.56338	−	21.7429i	−0.463055	−	1.17572i
$343$	2.82529	+	2.82529i	0.152551	+	0.152551i
$344$	0.0632189	−	0.358532i	0.00340854	−	0.0193308i
$345$	−41.5072	−	6.70972i	−2.23467	−	0.361239i
$346$	15.2272	+	5.54227i	0.818622	+	0.297954i
$347$	7.46684	−	16.0127i	0.400841	−	0.859606i	−0.597491	−	0.801875i	$-0.703836\pi$
$347$	7.46684	−	16.0127i	0.400841	−	0.859606i	0.998332	−	0.0577308i	$-0.0183865\pi$
$348$	−0.00677859		0.000593050i	−0.000363371		3.17908e-5i
$349$	10.6670	−	6.15858i	0.570990	−	0.329661i	−0.186555	−	0.982445i	$-0.559732\pi$
$349$	10.6670	−	6.15858i	0.570990	−	0.329661i	0.757545	+	0.652783i	$0.226399\pi$
$350$	−1.29140	−	2.09628i	−0.0690283	−	0.112051i
$351$	0.133608	+	0.757727i	0.00713145	+	0.0404445i
$352$	13.0091	−	18.5789i	0.693386	−	0.990258i
$353$	5.51616	−	1.47805i	0.293596	−	0.0786687i	−0.109015	−	0.994040i	$-0.534770\pi$
$353$	5.51616	−	1.47805i	0.293596	−	0.0786687i	0.402610	+	0.915371i	$0.368103\pi$
$354$	−4.52183	−	7.83204i	−0.240333	−	0.416268i
$355$	26.7534	+	9.30737i	1.41992	+	0.493984i
$356$	−5.09473	−	13.9976i	−0.270020	−	0.741874i
$357$	1.44710	+	3.10332i	0.0765886	+	0.164245i
$358$	−1.07319	−	12.2666i	−0.0567199	−	0.648312i
$359$	−25.5870	−	4.51167i	−1.35043	−	0.238117i	−0.548807	−	0.835949i	$-0.684918\pi$
$359$	−25.5870	−	4.51167i	−1.35043	−	0.238117i	−0.801621	+	0.597832i	$0.796029\pi$
$360$	−12.2955	−	3.10725i	−0.648029	−	0.163766i
$361$	−12.9565	−	13.8971i	−0.681919	−	0.731428i
$362$	1.95458	−	1.95458i	0.102731	−	0.102731i
$363$	−14.2925	−	20.4118i	−0.750161	−	1.07134i
$364$	−0.513040	−	0.430491i	−0.0268906	−	0.0225639i
$365$	−19.9760	−	13.5668i	−1.04559	−	0.710118i
$366$	15.9884	−	5.81929i	0.835726	−	0.304179i
$367$	−0.00722438	+	0.0825751i	−0.000377110	+	0.00431038i	−0.996381	−	0.0850003i	$-0.972911\pi$
$367$	−0.00722438	+	0.0825751i	−0.000377110	+	0.00431038i	0.996004	+	0.0893107i	$0.0284664\pi$
$368$	9.82521	−	36.6682i	0.512175	−	1.91146i
$369$	0.322939	−	0.559347i	0.0168115	−	0.0291184i
$370$	−22.4194	+	19.3639i	−1.16553	+	1.00668i
$371$	−0.746612	+	0.131648i	−0.0387621	+	0.00683481i
$372$	−2.00298	−	7.47521i	−0.103850	−	0.387572i
$373$	2.53207	+	0.678465i	0.131105	+	0.0351296i	0.323775	−	0.946134i	$-0.395048\pi$
$373$	2.53207	+	0.678465i	0.131105	+	0.0351296i	−0.192670	+	0.981264i	$0.561715\pi$
$374$	−29.0641	+	24.3877i	−1.50287	+	1.26106i
$375$	−25.5560	−	10.6105i	−1.31971	−	0.547926i
$376$	3.12835	−	8.59507i	0.161332	−	0.443257i
$377$	0.00719896		0.000629827i	0.000370765		3.24377e-5i
$378$	0.125336	−	0.0877610i	0.00644657	−	0.00451394i
$379$	−29.0243			−1.49088			−0.745440	−	0.666573i	$-0.767761\pi$
$379$	−29.0243			−1.49088			−0.745440	+	0.666573i	$0.767761\pi$
$380$	9.10760	−	1.16903i	0.467210	−	0.0599698i
$381$	24.9387			1.27765
$382$	−6.43858	+	4.50835i	−0.329427	+	0.230667i
$383$	−21.0330	+	1.84015i	−1.07473	+	0.0940271i	−0.610756	−	0.791819i	$-0.709134\pi$
$383$	−21.0330	+	1.84015i	−1.07473	+	0.0940271i	−0.463979	+	0.885846i	$0.653579\pi$
$384$	10.5692	−	29.0386i	0.539357	−	1.48187i
$385$	−0.298658	−	2.93135i	−0.0152210	−	0.149396i
$386$	16.1151	−	13.5222i	0.820239	−	0.688262i
$387$	0.605715	+	0.162301i	0.0307902	+	0.00825021i
$388$	1.45452	+	5.42834i	0.0738420	+	0.275582i
$389$	4.17947	−	0.736954i	0.211908	−	0.0373650i	−0.0666864	−	0.997774i	$-0.521243\pi$
$389$	4.17947	−	0.736954i	0.211908	−	0.0373650i	0.278594	+	0.960409i	$0.410132\pi$
$390$	−23.4433	−	1.71439i	−1.18710	−	0.0868116i
$391$	−18.3063	+	31.7075i	−0.925791	+	1.60352i
$392$	−3.24884	+	12.1248i	−0.164091	+	0.612397i
$393$	4.21977	−	48.2322i	0.212859	−	2.43299i
$394$	0.271956	−	0.0989839i	0.0137009	−	0.00498674i
$395$	12.0445	−	2.30141i	0.606025	−	0.115797i
$396$	10.3534	+	8.68751i	0.520277	+	0.436564i
$397$	11.8488	+	16.9218i	0.594674	+	0.849282i	0.997830	−	0.0658493i	$-0.0209757\pi$
$397$	11.8488	+	16.9218i	0.594674	+	0.849282i	−0.403156	+	0.915131i	$0.632087\pi$
$398$	−6.06152	+	6.06152i	−0.303837	+	0.303837i
$399$	1.70958	−	2.58258i	0.0855858	−	0.129291i
$400$	11.8692	−	21.9837i	0.593462	−	1.09918i
$401$	17.8894	+	3.15438i	0.893354	+	0.157522i	0.601436	−	0.798921i	$-0.294596\pi$
$401$	17.8894	+	3.15438i	0.893354	+	0.157522i	0.291918	+	0.956443i	$0.405707\pi$
$402$	3.35526	+	38.3508i	0.167345	+	1.91276i
$403$	3.47342	+	7.44878i	0.173024	+	0.371050i
$404$	−3.58880	−	9.86014i	−0.178549	−	0.490560i
$405$	−6.32422	+	18.1785i	−0.314253	+	0.903298i
$406$	−0.000718529	−	0.00124453i	−3.56600e−5	−	6.17649e-5i
$407$	−34.2444	+	9.17575i	−1.69743	+	0.454825i
$408$	−12.4138	+	17.7288i	−0.614576	+	0.877706i
$409$	−2.14098	−	12.1421i	−0.105865	−	0.600388i	−0.990871	−	0.134810i	$-0.956958\pi$
$409$	−2.14098	−	12.1421i	−0.105865	−	0.600388i	0.885007	−	0.465578i	$-0.154154\pi$
$410$	0.568370	+	0.552379i	0.0280698	+	0.0272801i
$411$	−22.8439	+	13.1890i	−1.12681	+	0.650563i
$412$	−0.774375	−	0.0677491i	−0.0381507	−	0.00333776i
$413$	0.258468	−	0.554286i	0.0127184	−	0.0272746i
$414$	38.2742	+	13.9307i	1.88107	+	0.684655i
$415$	20.9194	+	28.9868i	1.02689	+	1.42291i
$416$	2.12474	−	12.0500i	0.104174	−	0.590800i
$417$	26.8800	+	26.8800i	1.31632	+	1.31632i
$418$	32.5436	+	10.8909i	1.59176	+	0.532691i
$419$			30.7781i			1.50361i	0.659386	+	0.751805i	$0.270816\pi$
$419$			30.7781i			1.50361i	−0.659386	+	0.751805i	$0.729184\pi$
$420$	0.531948	+	1.39908i	0.0259564	+	0.0682680i
$421$	10.7205	−	12.7761i	0.522483	−	0.622671i	−0.438683	−	0.898642i	$-0.644555\pi$
$421$	10.7205	−	12.7761i	0.522483	−	0.622671i	0.961166	+	0.275971i	$0.0889994\pi$
$422$	0.147907	−	0.0689701i	0.00720000	−	0.00335741i
$423$	14.2786	+	6.65824i	0.694252	+	0.323735i
$424$	−3.08017	−	3.67081i	−0.149586	−	0.178270i
$425$	−16.5450	+	17.5172i	−0.802549	+	0.849708i
$426$	−46.5729	−	26.8889i	−2.25646	−	1.30277i
$427$	0.942534	+	0.659969i	0.0456124	+	0.0319382i
$428$	12.0321	+	8.42495i	0.581593	+	0.407235i
$429$	−24.3617	−	14.0652i	−1.17619	−	0.679076i
$430$	−0.375206	+	0.671832i	−0.0180940	+	0.0323986i
$431$	9.97761	+	11.8908i	0.480604	+	0.572762i	0.950802	−	0.309799i	$-0.100262\pi$
$431$	9.97761	+	11.8908i	0.480604	+	0.572762i	−0.470198	+	0.882561i	$0.655817\pi$
$432$	1.40709	+	0.656139i	0.0676988	+	0.0315685i
$433$	11.6855	−	5.44902i	0.561568	−	0.261863i	−0.121041	−	0.992648i	$-0.538623\pi$
$433$	11.6855	−	5.44902i	0.561568	−	0.261863i	0.682608	+	0.730784i	$0.260845\pi$
$434$	1.05057	−	1.25202i	0.0504291	−	0.0600990i
$435$	−0.0147333	−	0.00661603i	−0.000706410	−	0.000317215i
$436$		−	8.90391i		−	0.426420i
$437$	33.1052	−	0.865085i	1.58363	−	0.0413826i
$438$	32.4169	+	32.4169i	1.54894	+	1.54894i
$439$	5.84172	−	33.1300i	0.278810	−	1.58121i	−0.447783	−	0.894142i	$-0.647786\pi$
$439$	5.84172	−	33.1300i	0.278810	−	1.58121i	0.726593	−	0.687068i	$-0.241102\pi$
$440$	15.1020	−	10.8989i	0.719960	−	0.519585i
$441$	−20.3173	−	7.39489i	−0.967490	−	0.352137i
$442$	−8.65033	+	18.5507i	−0.411454	+	0.882366i
$443$	−16.6998	−	1.46104i	−0.793431	−	0.0694162i	−0.316769	−	0.948503i	$-0.602598\pi$
$443$	−16.6998	−	1.46104i	−0.793431	−	0.0694162i	−0.476662	+	0.879087i	$0.658154\pi$
$444$	15.5965	−	9.00463i	0.740176	−	0.427341i
$445$	−0.504418	−	35.3525i	−0.0239117	−	1.67587i
$446$	−0.204711	−	1.16097i	−0.00969333	−	0.0549736i
$447$	−13.7391	+	19.6214i	−0.649836	+	0.928062i
$448$	0.420860	−	0.112769i	0.0198838	−	0.00532784i
$449$	8.68158	+	15.0369i	0.409709	+	0.709637i	0.994857	−	0.101290i	$-0.0322969\pi$
$449$	8.68158	+	15.0369i	0.409709	+	0.709637i	−0.585148	+	0.810927i	$0.698964\pi$
$450$	22.3875	+	14.7423i	1.05536	+	0.694956i
$451$	0.324406	+	0.891298i	0.0152757	+	0.0419696i
$452$	0.734361	+	1.57484i	0.0345414	+	0.0740743i
$453$	−0.669688	−	7.65457i	−0.0314647	−	0.359643i
$454$	7.48278	+	1.31942i	0.351184	+	0.0619233i
$455$	−0.814366	−	1.36517i	−0.0381781	−	0.0640000i
$456$	19.5396	+	1.19616i	0.915024	+	0.0560153i
$457$	−4.18473	+	4.18473i	−0.195753	+	0.195753i	−0.798177	−	0.602423i	$-0.794202\pi$
$457$	−4.18473	+	4.18473i	−0.195753	+	0.195753i	0.602423	+	0.798177i	$0.294202\pi$
$458$	1.61478	+	2.30614i	0.0754535	+	0.107759i
$459$	−1.14706	−	0.962499i	−0.0535403	−	0.0449256i
$460$	−8.99184	+	13.2398i	−0.419247	+	0.617307i
$461$	13.1750	−	4.79530i	0.613620	−	0.223339i	−0.0164665	−	0.999864i	$-0.505242\pi$
$461$	13.1750	−	4.79530i	0.613620	−	0.223339i	0.630086	+	0.776525i	$0.283019\pi$
$462$	−0.487553	+	5.57276i	−0.0226830	+	0.259268i
$463$	−3.72721	+	13.9101i	−0.173218	+	0.646459i	0.823630	+	0.567127i	$0.191945\pi$
$463$	−3.72721	+	13.9101i	−0.173218	+	0.646459i	−0.996848	+	0.0793316i	$0.974721\pi$
$464$	0.00729090	−	0.0126282i	0.000338472	−	0.000586250i
$465$	1.33970	−	18.3196i	0.0621269	−	0.849551i
$466$	−16.3239	+	2.87835i	−0.756190	+	0.133337i
$467$	2.26065	+	8.43685i	0.104610	+	0.390411i	0.998301	−	0.0582734i	$-0.0185595\pi$
$467$	2.26065	+	8.43685i	0.104610	+	0.390411i	−0.893690	+	0.448684i	$0.851893\pi$
$468$	7.04292	+	1.88714i	0.325559	+	0.0872332i
$469$	−1.99433	+	1.67345i	−0.0920898	+	0.0772725i
$470$	−12.2144	+	14.9857i	−0.563410	+	0.691238i
$471$	13.6679	−	37.5522i	0.629782	−	1.73031i
$472$	3.85094	−	0.336914i	0.177254	−	0.0155077i
$473$	−0.754354	+	0.528204i	−0.0346852	+	0.0242869i
$474$	−23.2804			−1.06930
$475$	21.3286	+	4.48228i	0.978623	+	0.205661i
$476$	1.30337			0.0597399
$477$	6.76113	−	4.73420i	0.309571	−	0.216764i
$478$	−10.6858	+	0.934886i	−0.488757	+	0.0427607i
$479$	−6.83164	+	18.7698i	−0.312145	+	0.857613i	0.680078	+	0.733140i	$0.261946\pi$
$479$	−6.83164	+	18.7698i	−0.312145	+	0.857613i	−0.992223	+	0.124473i	$0.960276\pi$
$480$	−17.2773	+	21.1972i	−0.788597	+	0.967517i
$481$	−14.6514	+	12.2940i	−0.668048	+	0.560558i
$482$	20.7824	+	5.56862i	0.946611	+	0.253644i
$483$	1.39717	+	5.21431i	0.0635735	+	0.237259i
$484$	−9.34084	+	1.64704i	−0.424584	+	0.0748656i
$485$	−0.972859	+	13.3033i	−0.0441753	+	0.604072i
$486$	19.0700	−	33.0303i	0.865034	−	1.49828i
$487$	3.44824	−	12.8690i	0.156254	−	0.583150i	−0.842740	−	0.538320i	$-0.819059\pi$
$487$	3.44824	−	12.8690i	0.156254	−	0.583150i	0.998995	−	0.0448291i	$-0.0142743\pi$
$488$	−0.633859	+	7.24504i	−0.0286935	+	0.327968i
$489$	−0.192311	+	0.0699956i	−0.00869662	+	0.00316531i
$490$	14.9064	−	21.9485i	0.673403	−	0.991532i
$491$	−18.9123	−	15.8693i	−0.853501	−	0.716172i	0.107057	−	0.994253i	$-0.465857\pi$
$491$	−18.9123	−	15.8693i	−0.853501	−	0.716172i	−0.960558	+	0.278081i	$0.910302\pi$
$492$	−0.276363	−	0.394687i	−0.0124594	−	0.0177938i
$493$	−0.00994447	+	0.00994447i	−0.000447876	+	0.000447876i
$494$	18.3950	−	2.09483i	0.827629	−	0.0942507i
$495$	16.4343	+	27.5497i	0.738666	+	1.23827i
$496$	16.3323	+	2.87982i	0.733341	+	0.129308i
$497$	−0.316966	−	3.62294i	−0.0142179	−	0.162511i
$498$	−28.6817	−	61.5080i	−1.28526	−	2.75624i
$499$	−6.45641	−	17.7388i	−0.289028	−	0.794099i	−0.996203	−	0.0870601i	$-0.972253\pi$
$499$	−6.45641	−	17.7388i	−0.289028	−	0.794099i	0.707175	−	0.707039i	$-0.249969\pi$
$500$	−7.77154	+	7.10942i	−0.347554	+	0.317943i
$501$	−10.6710	−	18.4828i	−0.476747	−	0.825749i
$502$	15.1434	−	4.05766i	0.675883	−	0.181102i
$503$	8.21072	−	11.7261i	0.366098	−	0.522842i	−0.593269	−	0.805005i	$-0.702163\pi$
$503$	8.21072	−	11.7261i	0.366098	−	0.522842i	0.959367	+	0.282162i	$0.0910517\pi$
$504$	0.282740	+	1.60350i	0.0125943	+	0.0714256i
$505$	−0.355319	−	24.9028i	−0.0158115	−	1.10816i
$506$	−51.8009	+	29.9073i	−2.30283	+	1.32954i
$507$	16.9341	+	1.48154i	0.752069	+	0.0657975i
$508$	4.01181	−	8.60335i	0.177995	−	0.381712i
$509$	−32.7191	−	11.9088i	−1.45025	−	0.527847i	−0.507588	−	0.861600i	$-0.669463\pi$
$509$	−32.7191	−	11.9088i	−1.45025	−	0.527847i	−0.942661	+	0.333752i	$0.891685\pi$
$510$	37.0944	−	26.7705i	1.64257	−	1.18542i
$511$	−0.538357	+	3.05317i	−0.0238155	+	0.135064i
$512$	−4.63603	−	4.63603i	−0.204886	−	0.204886i
$513$	−0.200265	+	1.33951i	−0.00884193	+	0.0591407i
$514$		−	51.0136i		−	2.25011i
$515$	−1.68311	−	0.755805i	−0.0741668	−	0.0333047i
$516$	0.300697	−	0.358357i	0.0132374	−	0.0157758i
$517$	−20.9688	+	9.77791i	−0.922206	+	0.430032i
$518$	3.44707	+	1.60740i	0.151456	+	0.0706250i
$519$	−15.0296	−	17.9116i	−0.659727	−	0.786232i
$520$	4.89907	−	8.77213i	0.214839	−	0.384684i
$521$	3.47559	+	2.00663i	0.152268	+	0.0879121i	0.574198	−	0.818716i	$-0.305314\pi$
$521$	3.47559	+	2.00663i	0.152268	+	0.0879121i	−0.421930	+	0.906628i	$0.638647\pi$
$522$	0.0128159	+	0.00897382i	0.000560938	+	0.000392773i
$523$	26.4451	+	18.5171i	1.15636	+	0.809695i	0.984493	−	0.175424i	$-0.0561296\pi$
$523$	26.4451	+	18.5171i	1.15636	+	0.809695i	0.171872	+	0.985119i	$0.445019\pi$
$524$	−15.9603	−	9.21469i	−0.697230	−	0.402546i
$525$	0.101361	+	3.55123i	0.00442374	+	0.154989i
$526$	17.3897	+	20.7243i	0.758228	+	0.903621i
$527$	−14.4963	−	6.75973i	−0.631468	−	0.294458i
$528$	−51.4444	+	23.9889i	−2.23883	+	1.04398i
$529$	−22.3183	+	26.5979i	−0.970360	+	1.15643i
$530$	3.59956	+	9.46722i	0.156355	+	0.411230i
$531$			6.65840i			0.288950i
$532$	−0.615925	−	1.00522i	−0.0267037	−	0.0435818i
$533$	0.361829	+	0.361829i	0.0156725	+	0.0156725i
$534$	−11.6560	+	66.1044i	−0.504404	+	2.86062i
$535$	20.4023	+	28.2703i	0.882067	+	1.22223i
$536$	−15.4630	−	5.62808i	−0.667900	−	0.243096i
$537$	−7.50886	+	16.1028i	−0.324031	+	0.694888i
$538$	−19.2500	−	1.68416i	−0.829927	−	0.0726092i
$539$	27.4977	−	15.8758i	1.18441	−	0.683820i
$540$	−0.469394	−	0.456188i	−0.0201995	−	0.0196312i
$541$	−2.75071	−	15.6000i	−0.118262	−	0.670698i	−0.985083	−	0.172079i	$-0.944952\pi$
$541$	−2.75071	−	15.6000i	−0.118262	−	0.670698i	0.866821	−	0.498620i	$-0.166160\pi$
$542$	20.4559	−	29.2141i	0.878657	−	1.25485i
$543$	−3.85263	+	1.03231i	−0.165332	+	0.0443007i
$544$	11.9063	+	20.6223i	0.510479	+	0.884176i
$545$	6.94408	−	19.9603i	0.297452	−	0.855004i
$546$	1.03219	+	2.83591i	0.0441735	+	0.121366i
$547$	17.7724	+	38.1131i	0.759893	+	1.62960i	0.776806	+	0.629740i	$0.216838\pi$
$547$	17.7724	+	38.1131i	0.759893	+	1.62960i	−0.0169130	+	0.999857i	$0.505384\pi$
$548$	0.875093	+	10.0024i	0.0373821	+	0.427280i
$549$	−12.3366	−	2.17528i	−0.526514	−	0.0928386i
$550$	−37.7174	+	11.2691i	−1.60828	+	0.480516i
$551$	0.0123690	+	0.00297025i	0.000526938	+	0.000126537i
$552$	−24.1270	+	24.1270i	−1.02691	+	1.02691i
$553$	−0.903017	−	1.28964i	−0.0384002	−	0.0548411i
$554$	10.0322	+	8.41800i	0.426227	+	0.357647i
$555$	41.9859	−	8.02250i	1.78220	−	0.340536i
$556$	13.5972	−	4.94896i	0.576648	−	0.209883i
$557$	1.68089	−	19.2126i	0.0712215	−	0.814066i	−0.873635	−	0.486582i	$-0.838244\pi$
$557$	1.68089	−	19.2126i	0.0712215	−	0.814066i	0.944857	−	0.327484i	$-0.106201\pi$
$558$	−4.60539	+	17.1876i	−0.194962	+	0.727607i
$559$	−0.248406	+	0.430251i	−0.0105064	+	0.0181977i
$560$	−3.19904	−	0.233943i	−0.135184	−	0.00988589i
$561$	53.9138	−	9.50645i	2.27624	−	0.401363i
$562$	−2.44303	−	9.11752i	−0.103053	−	0.384599i
$563$	18.5388	+	4.96746i	0.781318	+	0.209354i	0.627366	−	0.778725i	$-0.284133\pi$
$563$	18.5388	+	4.96746i	0.781318	+	0.209354i	0.153952	+	0.988078i	$0.450800\pi$
$564$	9.00331	−	7.55468i	0.379108	−	0.318109i
$565$	0.418042	+	4.10311i	0.0175871	+	0.172619i
$566$	6.77146	−	18.6044i	0.284626	−	0.782002i
$567$	2.46173	−	0.215374i	0.103383	−	0.00904484i
$568$	18.8298	−	13.1848i	0.790080	−	0.553220i
$569$	32.0305			1.34279			0.671393	−	0.741101i	$-0.265696\pi$
$569$	32.0305			1.34279			0.671393	+	0.741101i	$0.265696\pi$
$570$	−38.1761	−	15.9582i	−1.59902	−	0.668415i
$571$	24.9840			1.04555			0.522774	−	0.852471i	$-0.324897\pi$
$571$	24.9840			1.04555			0.522774	+	0.852471i	$0.324897\pi$
$572$	−8.77121	+	6.14167i	−0.366743	+	0.256796i
$573$	11.2983	−	0.988477i	0.471995	−	0.0412942i
$574$	0.0348031	−	0.0956208i	0.00145265	−	0.00399114i
$575$	−30.4830	+	22.6675i	−1.27123	+	0.945299i
$576$	−3.63379	+	3.04911i	−0.151408	+	0.127046i
$577$	3.34706	+	0.896843i	0.139340	+	0.0373361i	0.327815	−	0.944742i	$-0.393688\pi$
$577$	3.34706	+	0.896843i	0.139340	+	0.0373361i	−0.188475	+	0.982078i	$0.560354\pi$
$578$	−2.76287	−	10.3112i	−0.114920	−	0.428888i
$579$	−29.8935	+	5.27102i	−1.24233	+	0.219056i
$580$	−0.00465250	+	0.00401841i	−0.000193185	+	0.000166855i
$581$	2.29477	−	3.97466i	0.0952032	−	0.164897i
$582$	6.55434	−	24.4611i	0.271686	−	1.01395i
$583$	−1.05642	+	12.0750i	−0.0437525	+	0.500094i
$584$	−18.4141	+	6.70217i	−0.761980	+	0.277338i
$585$	14.3166	+	9.72320i	0.591920	+	0.402005i
$586$	−31.9107	−	26.7763i	−1.31822	−	1.10612i
$587$	−18.1103	−	25.8643i	−0.747494	−	1.06753i	−0.995120	−	0.0986764i	$-0.968539\pi$
$587$	−18.1103	−	25.8643i	−0.747494	−	1.06753i	0.247625	−	0.968856i	$-0.420350\pi$
$588$	−11.4052	+	11.4052i	−0.470342	+	0.470342i
$589$	1.63699	+	14.3746i	0.0674508	+	0.592295i
$590$	−7.92162	−	2.00191i	−0.326128	−	0.0824173i
$591$	−0.411253	−	0.0725150i	−0.0169167	−	0.00298287i
$592$	3.36363	+	38.4464i	0.138244	+	1.58014i
$593$	−3.88609	−	8.33375i	−0.159583	−	0.342226i	0.810217	−	0.586131i	$-0.199349\pi$
$593$	−3.88609	−	8.33375i	−0.159583	−	0.342226i	−0.969799	+	0.243904i	$0.921572\pi$
$594$	−0.836681	−	2.29876i	−0.0343294	−	0.0943194i
$595$	2.92182	+	1.01649i	0.119783	+	0.0416720i
$596$	4.55884	+	7.89615i	0.186737	+	0.323439i
$597$	11.9477	−	3.20138i	0.488988	−	0.131024i
$598$	−18.5088	+	26.4333i	−0.756882	+	1.08094i
$599$	−7.60255	−	43.1162i	−0.310632	−	1.76168i	−0.595734	−	0.803182i	$-0.703139\pi$
$599$	−7.60255	−	43.1162i	−0.310632	−	1.76168i	0.285102	−	0.958497i	$-0.407973\pi$
$600$	−19.1187	+	11.7780i	−0.780517	+	0.480833i
$601$	26.5782	−	15.3449i	1.08415	−	0.625932i	0.152134	−	0.988360i	$-0.451385\pi$
$601$	26.5782	−	15.3449i	1.08415	−	0.625932i	0.932012	+	0.362428i	$0.118052\pi$
$602$	0.0984203	+	0.00861066i	0.00401131	+	0.000350944i
$603$	11.9785	−	25.6881i	0.487804	−	1.04610i
$604$	−2.74840	−	1.00034i	−0.111831	−	0.0407031i
$605$	−22.2243	−	3.59260i	−0.903546	−	0.146060i
$606$	−8.21064	+	46.5648i	−0.333534	+	1.89157i
$607$	−7.95200	−	7.95200i	−0.322762	−	0.322762i	0.527064	−	0.849826i	$-0.323293\pi$
$607$	−7.95200	−	7.95200i	−0.322762	−	0.322762i	−0.849826	+	0.527064i	$0.823293\pi$
$608$	10.2784	−	18.9280i	0.416845	−	0.767634i
$609$			0.00207357i			8.40253e-5i
$610$	6.29708	−	14.0231i	0.254961	−	0.567777i
$611$	−8.02317	+	9.56164i	−0.324583	+	0.386822i
$612$	−12.8604	+	5.99692i	−0.519852	+	0.242411i
$613$	−36.0854	−	16.8269i	−1.45748	−	0.679632i	−0.477478	−	0.878644i	$-0.658449\pi$
$613$	−36.0854	−	16.8269i	−1.45748	−	0.679632i	−0.979997	+	0.199012i	$0.936227\pi$
$614$	5.03108	+	5.99580i	0.203038	+	0.241971i
$615$	−0.311721	−	1.10032i	−0.0125698	−	0.0443691i
$616$	−2.07078	−	1.19557i	−0.0834342	−	0.0481708i
$617$	21.3819	+	14.9718i	0.860803	+	0.602740i	0.918424	−	0.395598i	$-0.129463\pi$
$617$	21.3819	+	14.9718i	0.860803	+	0.602740i	−0.0576212	+	0.998339i	$0.518352\pi$
$618$	2.86934	+	2.00913i	0.115422	+	0.0808191i
$619$	14.8409	+	8.56837i	0.596504	+	0.344392i	0.767665	−	0.640851i	$-0.221418\pi$
$619$	14.8409	+	8.56837i	0.596504	+	0.344392i	−0.171161	+	0.985243i	$0.554752\pi$
$620$	−6.10438	−	3.40918i	−0.245158	−	0.136916i
$621$	−1.51741	−	1.80838i	−0.0608916	−	0.0725678i
$622$	8.64743	+	4.03237i	0.346731	+	0.161683i
$623$	−4.11404	+	1.91841i	−0.164825	+	0.0768594i
$624$	−19.6839	+	23.4584i	−0.787987	+	0.939086i
$625$	−22.9664	+	9.87654i	−0.918655	+	0.395062i
$626$		−	17.3708i		−	0.694277i
$627$	−32.8094	−	37.0884i	−1.31028	−	1.48117i
$628$	−10.7560	−	10.7560i	−0.429213	−	0.429213i
$629$	6.46350	−	36.6563i	0.257716	−	1.46158i
$630$	0.549202	−	3.39743i	0.0218807	−	0.135357i
$631$	20.1799	+	7.34487i	0.803348	+	0.292395i	0.710873	−	0.703320i	$-0.248300\pi$
$631$	20.1799	+	7.34487i	0.803348	+	0.292395i	0.0924747	+	0.995715i	$0.470522\pi$
$632$	4.20549	−	9.01871i	0.167286	−	0.358745i
$633$	−0.234586	−	0.0205236i	−0.00932395	−	0.000815740i
$634$	38.2657	−	22.0927i	1.51973	−	0.877415i
$635$	15.7031	−	16.1577i	0.623159	−	0.641200i
$636$	−1.06921	−	6.06378i	−0.0423969	−	0.240445i
$637$	9.82513	−	14.0317i	0.389286	−	0.555958i
$638$	−0.0221930	+	0.00594660i	−0.000878629	+	0.000235428i
$639$	19.7969	+	34.2893i	0.783155	+	1.35646i
$640$	−12.1590	−	25.1325i	−0.480625	−	0.993449i
$641$	12.0700	+	33.1619i	0.476735	+	1.30982i	0.912249	+	0.409636i	$0.134344\pi$
$641$	12.0700	+	33.1619i	0.476735	+	1.30982i	−0.435515	+	0.900182i	$0.643434\pi$
$642$	−27.9727	−	59.9876i	−1.10399	−	2.36752i
$643$	1.64241	+	18.7728i	0.0647702	+	0.740327i	0.957254	+	0.289248i	$0.0934052\pi$
$643$	1.64241	+	18.7728i	0.0647702	+	0.740327i	−0.892484	+	0.451079i	$0.851039\pi$
$644$	2.02359	+	0.356814i	0.0797407	+	0.0140604i
$645$	0.953564	−	0.568832i	0.0375466	−	0.0223978i
$646$	−24.8031	+	26.1341i	−0.975864	+	1.02823i
$647$	−17.6606	+	17.6606i	−0.694309	+	0.694309i	−0.963177	−	0.268868i	$-0.913350\pi$
$647$	−17.6606	+	17.6606i	−0.694309	+	0.694309i	0.268868	+	0.963177i	$0.413350\pi$
$648$	8.95884	+	12.7946i	0.351937	+	0.502617i
$649$	−7.49049	−	6.28527i	−0.294027	−	0.246718i
$650$	−15.8723	+	14.1094i	−0.622562	+	0.553416i
$651$	−2.21610	+	0.806594i	−0.0868557	+	0.0316129i
$652$	−0.00678943	+	0.0776036i	−0.000265895	+	0.00303919i
$653$	−1.44781	+	5.40330i	−0.0566572	+	0.211447i	−0.988451	−	0.151540i	$-0.951577\pi$
$653$	−1.44781	+	5.40330i	−0.0566572	+	0.211447i	0.931794	+	0.362988i	$0.118243\pi$
$654$	−20.0613	+	34.7473i	−0.784461	+	1.35873i
$655$	−28.5925	−	33.1043i	−1.11720	−	1.29349i
$656$	1.01685	−	0.179297i	0.0397012	−	0.00700039i
$657$	−8.73590	−	32.6028i	−0.340820	−	1.27196i
$658$	2.39757	+	0.642427i	0.0934669	+	0.0250444i
$659$	5.03828	−	4.22762i	0.196264	−	0.164685i	−0.539360	−	0.842075i	$-0.681334\pi$
$659$	5.03828	−	4.22762i	0.196264	−	0.164685i	0.735623	+	0.677391i	$0.236889\pi$
$660$	23.8077	−	2.42562i	0.926713	−	0.0944173i
$661$	−13.4502	+	36.9540i	−0.523150	+	1.43734i	0.343844	+	0.939027i	$0.388271\pi$
$661$	−13.4502	+	36.9540i	−0.523150	+	1.43734i	−0.866995	+	0.498317i	$0.833951\pi$
$662$	21.8664	−	1.91306i	0.849860	−	0.0743531i
$663$	24.1932	−	16.9403i	0.939587	−	0.657906i
$664$	29.0091			1.12577
$665$	−0.596781	−	2.73380i	−0.0231422	−	0.106012i
$666$	−41.4082			−1.60454
$667$	−0.0181620	+	0.0127172i	−0.000703236	+	0.000492411i
$668$	−8.09280	+	0.708028i	−0.313120	+	0.0273944i
$669$	−0.581791	+	1.59846i	−0.0224933	+	0.0617999i
$670$	26.9601	+	21.9744i	1.04156	+	0.848947i
$671$	14.0924	−	11.8249i	0.544031	−	0.456496i
$672$	3.39136	+	0.908711i	0.130824	+	0.0350543i
$673$	2.51767	+	9.39609i	0.0970492	+	0.362193i	0.997322	−	0.0731333i	$-0.0232998\pi$
$673$	2.51767	+	9.39609i	0.0970492	+	0.362193i	−0.900273	+	0.435326i	$0.856633\pi$
$674$	34.5406	−	6.09045i	1.33046	−	0.234595i
$675$	−0.696484	−	1.38873i	−0.0268077	−	0.0534523i
$676$	3.23523	−	5.60359i	0.124432	−	0.215523i
$677$	10.5432	−	39.3476i	0.405207	−	1.51225i	−0.398468	−	0.917182i	$-0.630458\pi$
$677$	10.5432	−	39.3476i	0.405207	−	1.51225i	0.803675	−	0.595069i	$-0.202875\pi$
$678$	0.682443	−	7.80036i	0.0262091	−	0.299571i
$679$	1.60928	−	0.585731i	0.0617586	−	0.0224783i
$680$	3.66983	+	19.2062i	0.140732	+	0.736522i
$681$	−8.39866	−	7.04731i	−0.321837	−	0.270054i
$682$	−14.9881	−	21.4053i	−0.573926	−	0.819651i
$683$	−11.3169	+	11.3169i	−0.433030	+	0.433030i	−0.889658	−	0.456628i	$-0.849057\pi$
$683$	−11.3169	+	11.3169i	−0.433030	+	0.433030i	0.456628	+	0.889658i	$0.349057\pi$
$684$	10.7025	+	7.08464i	0.409219	+	0.270888i
$685$	−5.83903	+	23.1052i	−0.223098	+	0.882804i
$686$	−6.74927	−	1.19008i	−0.257688	−	0.0454374i
$687$	−0.354048	−	4.04678i	−0.0135078	−	0.154394i
$688$	0.423668	+	0.908559i	0.0161522	+	0.0346385i
$689$	2.23652	+	6.14480i	0.0852048	+	0.234098i
$690$	64.9209	−	31.4084i	2.47150	−	1.19570i
$691$	1.45852	+	2.52622i	0.0554846	+	0.0961021i	0.892434	−	0.451179i	$-0.148996\pi$
$691$	1.45852	+	2.52622i	0.0554846	+	0.0961021i	−0.836949	+	0.547281i	$0.815663\pi$
$692$	−8.59691	+	2.30353i	−0.326805	+	0.0875672i
$693$	2.36234	−	3.37377i	0.0897379	−	0.128159i
$694$	5.26243	+	29.8447i	0.199759	+	1.13289i
$695$	34.3410	−	0.489986i	1.30263	−	0.0185862i
$696$	−0.0113505	+	0.00655319i	−0.000430238	+	0.000248398i
$697$	−0.992050	−	0.0867931i	−0.0375766	−	0.00328752i
$698$	−8.92866	+	19.1476i	−0.337955	+	0.724747i
$699$	22.4752	+	8.18030i	0.850089	+	0.309407i
$700$	1.24141	+	0.536308i	0.0469209	+	0.0202705i
$701$	−7.75792	+	43.9973i	−0.293012	+	1.66176i	0.382160	+	0.924096i	$0.375180\pi$
$701$	−7.75792	+	43.9973i	−0.293012	+	1.66176i	−0.675173	+	0.737660i	$0.735931\pi$
$702$	−0.933199	−	0.933199i	−0.0352213	−	0.0352213i
$703$	−31.3254	+	12.3375i	−1.18146	+	0.465316i
$704$		−	6.96614i		−	0.262546i
$705$	26.0749	−	9.91403i	0.982039	−	0.373384i
$706$	−6.29634	+	7.50369i	−0.236966	+	0.282405i
$707$	−2.89799	+	1.35135i	−0.108990	+	0.0508229i
$708$	4.50177	+	2.09921i	0.169187	+	0.0788931i
$709$	27.4318	+	32.6919i	1.03022	+	1.22777i	0.973334	+	0.229390i	$0.0736733\pi$
$709$	27.4318	+	32.6919i	1.03022	+	1.22777i	0.0568877	+	0.998381i	$0.481882\pi$
$710$	−46.7467	+	13.2434i	−1.75437	+	0.497015i
$711$	14.8439	+	8.57011i	0.556688	+	0.321404i
$712$	−23.5029	−	16.4569i	−0.880808	−	0.616749i
$713$	−20.6561	−	14.4636i	−0.773577	−	0.541665i
$714$	−5.08638	−	2.93662i	−0.190353	−	0.109900i
$715$	−24.4526	+	6.92744i	−0.914477	+	0.259072i
$716$	4.34722	+	5.18081i	0.162463	+	0.193616i
$717$	14.0276	+	6.54117i	0.523870	+	0.244285i
$718$	40.3897	−	18.8340i	1.50733	−	0.702880i
$719$	11.9438	−	14.2341i	0.445429	−	0.530841i	−0.495879	−	0.868392i	$-0.665154\pi$
$719$	11.9438	−	14.2341i	0.445429	−	0.530841i	0.941307	+	0.337550i	$0.109598\pi$
$720$	32.6415	−	12.4107i	1.21648	−	0.462520i
$721$			0.236881i			0.00882192i
$722$	31.8769	+	6.77927i	1.18633	+	0.252298i
$723$	−21.9524	−	21.9524i	−0.816417	−	0.816417i
$724$	−0.263635	+	1.49515i	−0.00979790	+	0.0555667i
$725$	−0.0135636	+	0.00537979i	−0.000503741	+	0.000199800i
$726$	40.1634	+	14.6183i	1.49060	+	0.542535i
$727$	7.46550	−	16.0098i	0.276880	−	0.593771i	−0.717862	−	0.696186i	$-0.754879\pi$
$727$	7.46550	−	16.0098i	0.276880	−	0.593771i	0.994742	+	0.102414i	$0.0326568\pi$
$728$	−1.28508	−	0.112430i	−0.0476281	−	0.00416692i
$729$	−25.2971	+	14.6053i	−0.936928	+	0.540936i
$730$	41.4147	−	0.590915i	1.53283	−	0.0218708i
$731$	−0.167893	−	0.952169i	−0.00620975	−	0.0352173i
$732$	−5.36010	+	7.65501i	−0.198115	+	0.282937i
$733$	39.6034	−	10.6117i	1.46279	−	0.391952i	0.562335	−	0.826909i	$-0.309903\pi$
$733$	39.6034	−	10.6117i	1.46279	−	0.391952i	0.900451	+	0.434957i	$0.143236\pi$
$734$	−0.0710890	−	0.123130i	−0.00262394	−	0.00454480i
$735$	−34.4623	+	16.6727i	−1.27116	+	0.614981i
$736$	12.8399	+	35.2774i	0.473286	+	1.30034i
$737$	17.5910	+	37.7240i	0.647973	+	1.38958i
$738$	0.0965549	+	1.10363i	0.00355424	+	0.0406251i
$739$	−13.0374	−	2.29884i	−0.479587	−	0.0845642i	−0.0713718	−	0.997450i	$-0.522738\pi$
$739$	−13.0374	−	2.29884i	−0.479587	−	0.0845642i	−0.408215	+	0.912886i	$0.633849\pi$
$740$	3.98654	−	15.7749i	0.146548	−	0.579895i
$741$	−24.4979	−	10.6536i	−0.899954	−	0.391369i
$742$	0.919509	−	0.919509i	0.0337562	−	0.0337562i
$743$	0.283145	+	0.404372i	0.0103876	+	0.0148350i	0.824312	−	0.566135i	$-0.191562\pi$
$743$	0.283145	+	0.404372i	0.0103876	+	0.0148350i	−0.813925	+	0.580970i	$0.802673\pi$
$744$	−11.4188	−	9.58153i	−0.418634	−	0.351276i
$745$	4.06161	+	21.2565i	0.148806	+	0.778779i
$746$	−4.22518	+	1.53784i	−0.154695	+	0.0563043i
$747$	−4.35489	+	49.7767i	−0.159337	+	1.82123i
$748$	5.39340	−	20.1284i	0.197202	−	0.735969i
$749$	2.23805	−	3.87642i	0.0817765	−	0.141641i
$750$	46.3464	−	10.2343i	1.69233	−	0.373705i
$751$	−41.0072	+	7.23068i	−1.49637	+	0.263851i	−0.861100	−	0.508435i	$-0.830224\pi$
$751$	−41.0072	+	7.23068i	−1.49637	+	0.263851i	−0.635275	+	0.772286i	$0.719113\pi$
$752$	6.51869	+	24.3281i	0.237712	+	0.887154i
$753$	−21.8508	−	5.85491i	−0.796289	−	0.213365i
$754$	−0.00949526	+	0.00796747i	−0.000345797	+	0.000290158i
$755$	−5.38106	−	4.38595i	−0.195837	−	0.159621i
$756$	−0.0287425	+	0.0789694i	−0.00104536	+	0.00287209i
$757$	−42.2960	+	3.70042i	−1.53728	+	0.134494i	−0.824081	−	0.566472i	$-0.808308\pi$
$757$	−42.2960	+	3.70042i	−1.53728	+	0.134494i	−0.713195	+	0.700966i	$0.752752\pi$
$758$	40.7807	−	28.5549i	1.48122	−	1.03716i
$759$	86.3081			3.13278
$760$	13.0784	−	11.9065i	0.474405	−	0.431893i
$761$	−24.7086			−0.895686			−0.447843	−	0.894112i	$-0.647808\pi$
$761$	−24.7086			−0.895686			−0.447843	+	0.894112i	$0.647808\pi$
$762$	−35.0401	+	24.5354i	−1.26937	+	0.888823i
$763$	−2.70301	+	0.236483i	−0.0978557	+	0.00856126i
$764$	1.47652	−	4.05671i	0.0534187	−	0.146767i
$765$	−33.5067	+	3.41380i	−1.21144	+	0.123426i
$766$	27.7420	−	23.2783i	1.00236	−	0.841080i
$767$	−5.09543	−	1.36532i	−0.183985	−	0.0492987i
$768$	11.7744	+	43.9426i	0.424871	+	1.58564i
$769$	−28.5485	+	5.03387i	−1.02948	+	0.181526i	−0.662782	−	0.748812i	$-0.730624\pi$
$769$	−28.5485	+	5.03387i	−1.02948	+	0.181526i	−0.366703	+	0.930338i	$0.619513\pi$
$770$	3.30358	+	3.82487i	0.119053	+	0.137839i
$771$	−36.8045	+	63.7472i	−1.32548	+	2.29580i
$772$	−2.99047	+	11.1606i	−0.107629	+	0.401678i
$773$	−2.81654	+	32.1932i	−0.101304	+	1.15791i	0.760037	+	0.649880i	$0.225181\pi$
$773$	−2.81654	+	32.1932i	−0.101304	+	1.15791i	−0.861341	+	0.508028i	$0.830375\pi$
$774$	−1.01074	+	0.367878i	−0.0363302	+	0.0132231i
$775$	−11.0257	−	12.4033i	−0.396053	−	0.445539i
$776$	8.29211	+	6.95791i	0.297669	+	0.249774i
$777$	−3.14783	−	4.49556i	−0.112928	−	0.161277i
$778$	−5.14734	+	5.14734i	−0.184541	+	0.184541i
$779$	0.401867	+	0.806130i	0.0143984	+	0.0288826i
$780$	11.0875	−	6.61407i	0.396997	−	0.236822i
$781$	−57.2619	−	10.0968i	−2.04899	−	0.361293i
$782$	−5.47337	−	62.5609i	−0.195727	−	2.23717i
$783$	−0.000383221	0	0.000821821i	−1.36952e−5	0	2.93695e-5i
$784$	−11.8218	−	32.4802i	−0.422208	−	1.16001i
$785$	−15.7237	−	32.5008i	−0.561204	−	1.16000i
$786$	41.5232	+	71.9202i	1.48108	+	2.56531i
$787$	−17.9777	+	4.81711i	−0.640836	+	0.171711i	−0.564582	−	0.825377i	$-0.690963\pi$
$787$	−17.9777	+	4.81711i	−0.640836	+	0.171711i	−0.0762539	+	0.997088i	$0.524296\pi$
$788$	−0.0911732	+	0.130209i	−0.00324791	+	0.00463850i
$789$	−6.77860	−	38.4434i	−0.241325	−	1.36862i
$790$	−14.6589	+	15.0833i	−0.521542	+	0.536640i
$791$	0.458580	−	0.264761i	0.0163052	−	0.00941383i
$792$	25.9334	+	2.26888i	0.921504	+	0.0806212i
$793$	4.19430	−	8.99471i	0.148944	−	0.319411i
$794$	−33.2963	−	12.1189i	−1.18164	−	0.430082i
$795$	2.33220	−	14.4273i	0.0827147	−	0.511684i
$796$	0.817579	−	4.63672i	0.0289783	−	0.164344i
$797$	−17.8040	−	17.8040i	−0.630650	−	0.630650i	0.317581	−	0.948231i	$-0.397129\pi$
$797$	−17.8040	−	17.8040i	−0.630650	−	0.630650i	−0.948231	+	0.317581i	$0.897129\pi$
$798$	0.138773	+	5.31059i	0.00491252	+	0.187993i
$799$		−	24.2912i		−	0.859362i
$800$	2.85466	+	24.5412i	0.100928	+	0.867661i
$801$	31.7667	−	37.8581i	1.12242	−	1.33765i
$802$	−28.2389	+	13.1680i	−0.997150	+	0.464979i
$803$	44.9235	+	20.9482i	1.58532	+	0.739245i
$804$	−13.5913	−	16.1975i	−0.479328	−	0.571240i
$805$	4.25810	+	2.37807i	0.150078	+	0.0838159i
$806$	−12.2087	−	7.04867i	−0.430032	−	0.248279i
$807$	22.8400	+	15.9927i	0.804006	+	0.562971i
$808$	−16.5558	−	11.5925i	−0.582430	−	0.407822i
$809$	9.34965	+	5.39802i	0.328716	+	0.189784i	0.655271	−	0.755394i	$-0.272554\pi$
$809$	9.34965	+	5.39802i	0.328716	+	0.189784i	−0.326555	+	0.945178i	$0.605888\pi$
$810$	−8.99867	−	31.7637i	−0.316181	−	1.11606i
$811$	−29.9351	−	35.6753i	−1.05116	−	1.25273i	−0.966595	−	0.256310i	$-0.917493\pi$
$811$	−29.9351	−	35.6753i	−1.05116	−	1.25273i	−0.0845686	−	0.996418i	$-0.526951\pi$
$812$	0.000715340	0	0.000333569i	2.51035e−5	0	1.17060e-5i
$813$	−46.6389	+	21.7481i	−1.63570	+	0.762738i
$814$	39.0877	−	46.5829i	1.37002	−	1.63273i
$815$	−0.0757425	+	0.168672i	−0.00265314	+	0.00590833i
$816$		−	59.5957i		−	2.08627i
$817$	−0.655017	+	0.579447i	−0.0229161	+	0.0202723i
$818$	14.9539	+	14.9539i	0.522852	+	0.522852i
$819$	0.385836	−	2.18818i	0.0134822	−	0.0764613i
$820$	−0.429733	−	0.0694673i	−0.0150069	−	0.00242590i
$821$	42.5776	+	15.4970i	1.48597	+	0.540848i	0.952384	−	0.304900i	$-0.0986232\pi$
$821$	42.5776	+	15.4970i	1.48597	+	0.540848i	0.533583	+	0.845748i	$0.320845\pi$
$822$	19.1212	−	41.0056i	0.666930	−	1.43024i
$823$	−54.7548	−	4.79043i	−1.90863	−	0.166984i	−0.929312	−	0.369296i	$-0.879599\pi$
$823$	−54.7548	−	4.79043i	−1.90863	−	0.166984i	−0.979321	+	0.202312i	$0.935154\pi$
$824$	−1.29666	+	0.748626i	−0.0451712	+	0.0260796i
$825$	55.2624	+	13.1298i	1.92399	+	0.457121i
$826$	0.182161	+	1.03309i	0.00633820	+	0.0359457i
$827$	−4.05406	+	5.78980i	−0.140973	+	0.201331i	−0.883430	−	0.468563i	$-0.844772\pi$
$827$	−4.05406	+	5.78980i	−0.140973	+	0.201331i	0.742456	+	0.669894i	$0.233661\pi$
$828$	−21.6086	+	5.79001i	−0.750951	+	0.201217i
$829$	−3.92941	−	6.80594i	−0.136474	−	0.236380i	0.789685	−	0.613512i	$-0.210244\pi$
$829$	−3.92941	−	6.80594i	−0.136474	−	0.236380i	−0.926160	+	0.377132i	$0.876910\pi$
$830$	−57.9108	−	20.1469i	−2.01011	−	0.699309i
$831$	−6.46306	−	17.7571i	−0.224201	−	0.615987i
$832$	−1.58826	−	3.40603i	−0.0550630	−	0.118083i
$833$	2.90546	+	33.2095i	0.100668	+	1.15064i
$834$	−64.2131	−	11.3225i	−2.22352	−	0.392066i
$835$	−18.6942	−	4.72429i	−0.646938	−	0.163491i
$836$	−18.0727	+	5.35231i	−0.625057	+	0.185113i
$837$	0.729240	−	0.729240i	0.0252062	−	0.0252062i
$838$	−30.2804	−	43.2448i	−1.04602	−	1.49387i
$839$	−13.3579	−	11.2087i	−0.461168	−	0.386966i	0.382393	−	0.924000i	$-0.375100\pi$
$839$	−13.3579	−	11.2087i	−0.461168	−	0.386966i	−0.843560	+	0.537034i	$0.819545\pi$
$840$	2.38499	+	1.61978i	0.0822901	+	0.0558876i
$841$	27.2511	−	9.91858i	0.939692	−	0.342020i
$842$	−2.49327	+	28.4982i	−0.0859238	+	0.982113i
$843$	−3.52512	+	13.1559i	−0.121412	+	0.453114i
$844$	−0.0448173	+	0.0776258i	−0.00154267	+	0.00267199i
$845$	11.6228	−	10.0387i	0.399835	−	0.345341i
$846$	−26.6128	+	4.69255i	−0.914967	+	0.161333i
$847$	0.748091	+	2.79191i	0.0257047	+	0.0959313i
$848$	12.7453	+	3.41511i	0.437677	+	0.117275i
$849$	−21.8841	+	18.3630i	−0.751061	+	0.630215i
$850$	6.01265	−	40.8899i	0.206232	−	1.40251i
$851$	20.0702	−	55.1425i	0.687998	−	1.89026i
$852$	29.4245	−	2.57431i	1.00807	−	0.0881945i
$853$	40.2152	−	28.1590i	1.37694	−	0.964146i	0.377673	−	0.925939i	$-0.376724\pi$
$853$	40.2152	−	28.1590i	1.37694	−	0.964146i	0.999270	−	0.0382064i	$-0.0121644\pi$
$854$	−1.97360			−0.0675354
$855$	18.4669	+	24.2287i	0.631555	+	0.828605i
$856$	28.2920			0.967001
$857$	0.0902309	−	0.0631803i	0.00308223	−	0.00215820i	−0.572034	−	0.820230i	$-0.693846\pi$
$857$	0.0902309	−	0.0631803i	0.00308223	−	0.00215820i	0.575117	+	0.818071i	$0.304957\pi$
$858$	48.0672	−	4.20533i	1.64099	−	0.143568i
$859$	−13.8823	+	38.1414i	−0.473659	+	1.30137i	0.441132	+	0.897442i	$0.354577\pi$
$859$	−13.8823	+	38.1414i	−0.473659	+	1.30137i	−0.914792	+	0.403926i	$0.867645\pi$
$860$	−0.0428389	−	0.420467i	−0.00146079	−	0.0143378i
$861$	−0.112477	+	0.0943798i	−0.00383322	+	0.00321645i
$862$	−25.7176	−	6.89101i	−0.875945	−	0.234709i
$863$	4.79433	+	17.8927i	0.163201	+	0.609074i	0.998263	+	0.0589178i	$0.0187650\pi$
$863$	4.79433	+	17.8927i	0.163201	+	0.609074i	−0.835062	+	0.550156i	$0.814568\pi$
$864$	−1.51204	+	0.266614i	−0.0514407	+	0.00907038i
$865$	−21.0686	−	1.54073i	−0.716352	−	0.0523862i
$866$	−11.0578	+	19.1526i	−0.375759	+	0.650833i
$867$	−3.98662	+	14.8783i	−0.135393	+	0.505292i
$868$	−0.0782379	+	0.894263i	−0.00265557	+	0.0303533i
$869$	−23.6531	+	8.60903i	−0.802377	+	0.292041i
$870$	0.0272101	−	0.00519920i	0.000922510	−	0.000176270i
$871$	17.2019	+	14.4341i	0.582865	+	0.489082i
$872$	−9.83693	−	14.0486i	−0.333121	−	0.475745i
$873$	−13.1839	+	13.1839i	−0.446207	+	0.446207i
$874$	−45.6634	+	33.7853i	−1.54459	+	1.14280i
$875$	2.36466	+	2.17043i	0.0799401	+	0.0733740i
$876$	−24.7971	−	4.37239i	−0.837815	−	0.147729i
$877$	−2.69772	−	30.8351i	−0.0910956	−	1.04123i	−0.894880	−	0.446307i	$-0.852739\pi$
$877$	−2.69772	−	30.8351i	−0.0910956	−	1.04123i	0.803784	−	0.594921i	$-0.202817\pi$
$878$	24.3863	+	52.2966i	0.822998	+	1.76493i
$879$	20.5579	+	56.4824i	0.693401	+	1.90510i
$880$	−16.8506	+	48.4358i	−0.568033	+	1.63277i
$881$	0.542908	+	0.940344i	0.0182910	+	0.0316810i	0.875026	−	0.484076i	$-0.160844\pi$
$881$	0.542908	+	0.940344i	0.0182910	+	0.0316810i	−0.856735	+	0.515757i	$0.827511\pi$
$882$	35.8221	−	9.59851i	1.20619	−	0.323199i
$883$	15.4242	−	22.0280i	0.519065	−	0.741302i	−0.470966	−	0.882151i	$-0.656095\pi$
$883$	15.4242	−	22.0280i	0.519065	−	0.741302i	0.990031	+	0.140850i	$0.0449834\pi$
$884$	−1.95217	−	11.0713i	−0.0656585	−	0.372368i
$885$	8.45464	+	8.21677i	0.284200	+	0.276204i
$886$	24.9015	−	14.3769i	0.836582	−	0.483001i
$887$	23.4968	+	2.05570i	0.788946	+	0.0690238i	0.474504	−	0.880253i	$-0.342627\pi$
$887$	23.4968	+	2.05570i	0.788946	+	0.0690238i	0.314441	+	0.949277i	$0.398183\pi$
$888$	14.6599	−	31.4383i	0.491955	−	1.05500i
$889$	−2.71832	−	0.989389i	−0.0911696	−	0.0331830i
$890$	35.4895	+	49.1758i	1.18961	+	1.64838i
$891$	6.86064	−	38.9086i	0.229840	−	1.30349i
$892$	0.457845	+	0.457845i	0.0153298	+	0.0153298i
$893$	−18.7345	+	11.4791i	−0.626927	+	0.384134i
$894$		−	41.0860i		−	1.37412i
$895$	5.70487	+	15.0044i	0.190693	+	0.501542i
$896$	−2.30409	+	2.74591i	−0.0769743	+	0.0917344i
$897$	42.1996	−	19.6780i	1.40900	−	0.657029i
$898$	−26.9918	−	12.5865i	−0.900729	−	0.420017i
$899$	−0.00622611	−	0.00741999i	−0.000207652	−	0.000247471i
$900$	−14.7167	+	0.420048i	−0.490555	+	0.0140016i
$901$	−11.0211	−	6.36302i	−0.367165	−	0.211983i
$902$	−1.33269	−	0.933160i	−0.0443737	−	0.0310708i
$903$	−0.116775	−	0.0817667i	−0.00388602	−	0.00272102i
$904$	2.89854	+	1.67347i	0.0964040	+	0.0556589i
$905$	−1.75705	+	3.14613i	−0.0584064	+	0.104581i
$906$	8.47172	+	10.0962i	0.281454	+	0.335424i
$907$	5.90696	+	2.75446i	0.196137	+	0.0914603i	0.518205	−	0.855256i	$-0.326600\pi$
$907$	5.90696	+	2.75446i	0.196137	+	0.0914603i	−0.322068	+	0.946716i	$0.604378\pi$
$908$	−3.78225	+	1.76369i	−0.125518	+	0.0585301i
$909$	22.3769	−	26.6677i	0.742195	−	0.884513i
$910$	2.48731	+	1.11693i	0.0824537	+	0.0370260i
$911$			27.6418i			0.915812i	0.889001	+	0.457906i	$0.151400\pi$
$911$			27.6418i			0.915812i	−0.889001	+	0.457906i	$0.848600\pi$
$912$	−45.9630	+	28.1627i	−1.52199	+	0.932560i
$913$	−51.8863	−	51.8863i	−1.71719	−	1.71719i
$914$	1.76271	−	9.99681i	0.0583052	−	0.330665i
$915$	−17.9860	+	12.9803i	−0.594600	+	0.429115i
$916$	−1.45301	−	0.528854i	−0.0480089	−	0.0174738i
$917$	−2.37346	+	5.08991i	−0.0783787	+	0.168084i
$918$	2.55861	+	0.223850i	0.0844468	+	0.00738814i
$919$	−23.3008	+	13.4527i	−0.768623	+	0.443764i	−0.832383	−	0.554201i	$-0.813024\pi$
$919$	−23.3008	+	13.4527i	−0.768623	+	0.443764i	0.0637605	+	0.997965i	$0.479691\pi$
$920$	0.439802	+	30.8238i	0.0144998	+	1.01623i
$921$	−1.96114	−	11.1222i	−0.0646217	−	0.366488i
$922$	−13.7938	+	19.6995i	−0.454274	+	0.648770i
$923$	−30.2997	+	8.11879i	−0.997328	+	0.267233i
$924$	−1.53624	−	2.66084i	−0.0505385	−	0.0875353i
$925$	21.2395	−	32.2541i	0.698350	−	1.06051i
$926$	−8.44826	−	23.2114i	−0.277627	−	0.762774i
$927$	−1.08991	−	2.33732i	−0.0357973	−	0.0767677i
$928$	0.00125682	+	0.0143655i	4.12570e−5	+	0.000471570i
$929$	49.9574	+	8.80883i	1.63905	+	0.289008i	0.915817	−	0.401597i	$-0.131545\pi$
$929$	49.9574	+	8.80883i	1.63905	+	0.289008i	0.723232	+	0.690605i	$0.242656\pi$
$930$	16.1410	+	27.0580i	0.529284	+	0.887267i
$931$	24.2397	−	17.9344i	0.794424	−	0.587776i
$932$	6.43755	−	6.43755i	0.210869	−	0.210869i
$933$	−7.89674	−	11.2777i	−0.258527	−	0.369216i
$934$	−11.4767	−	9.63011i	−0.375530	−	0.315107i
$935$	27.7886	−	40.9165i	0.908785	−	1.33811i
$936$	13.1972	−	4.80339i	0.431364	−	0.157004i
$937$	0.786309	−	8.98755i	0.0256876	−	0.293610i	−0.972474	−	0.233009i	$-0.925143\pi$
$937$	0.786309	−	8.98755i	0.0256876	−	0.293610i	0.998162	−	0.0606010i	$-0.0193017\pi$
$938$	1.15576	−	4.31336i	0.0377369	−	0.140836i
$939$	−12.5324	+	21.7068i	−0.408980	+	0.708374i
$940$	0.774450	−	10.5902i	0.0252598	−	0.345413i
$941$	−1.15162	+	0.203063i	−0.0375419	+	0.00661965i	−0.192388	−	0.981319i	$-0.561623\pi$
$941$	−1.15162	+	0.203063i	−0.0375419	+	0.00661965i	0.154846	+	0.987939i	$0.450512\pi$
$942$	17.7408	+	66.2095i	0.578026	+	2.15722i
$943$	−1.51648	−	0.406339i	−0.0493833	−	0.0132322i
$944$	−8.15412	+	6.84212i	−0.265394	+	0.222692i
$945$	−0.126021	+	0.154613i	−0.00409946	+	0.00502956i
$946$	0.540244	−	1.48431i	0.0175648	−	0.0482590i
$947$	5.76927	−	0.504745i	0.187476	−	0.0164020i	0.00696893	−	0.999976i	$-0.497782\pi$
$947$	5.76927	−	0.504745i	0.187476	−	0.0164020i	0.180507	+	0.983574i	$0.442226\pi$
$948$	10.4741	−	7.33406i	0.340184	−	0.238199i
$949$	26.7411			0.868051
$950$	−34.3776	+	14.6858i	−1.11536	+	0.476471i
$951$	−63.7565			−2.06744
$952$	2.05646	−	1.43995i	0.0666503	−	0.0466690i
$953$	2.09745	−	0.183503i	0.0679431	−	0.00594425i	−0.0531335	−	0.998587i	$-0.516921\pi$
$953$	2.09745	−	0.183503i	0.0679431	−	0.00594425i	0.121077	+	0.992643i	$0.461365\pi$
$954$	−4.84211	+	13.3036i	−0.156769	+	0.430719i
$955$	6.47378	−	7.94258i	0.209487	−	0.257016i
$956$	4.51315	−	3.78698i	0.145966	−	0.122480i
$957$	0.0320229	+	0.00858051i	0.00103515	+	0.000277368i
$958$	−8.86741	−	33.0936i	−0.286493	−	1.06921i
$959$	3.01324	−	0.531315i	0.0973025	−	0.0171571i
$960$	−0.612590	+	8.37683i	−0.0197713	+	0.270361i
$961$	−9.99187	+	17.3064i	−0.322319	+	0.558272i
$962$	8.49082	−	31.6882i	0.273755	−	1.02167i
$963$	−4.24725	+	48.5462i	−0.136866	+	1.56438i
$964$	−11.1045	+	4.04172i	−0.357653	+	0.130175i
$965$	−15.4079	+	22.6869i	−0.495998	+	0.730317i
$966$	−7.09308	−	5.95180i	−0.228216	−	0.191496i
$967$	24.5703	+	35.0900i	0.790127	+	1.12842i	0.988931	+	0.148379i	$0.0474055\pi$
$967$	24.5703	+	35.0900i	0.790127	+	1.12842i	−0.198804	+	0.980039i	$0.563706\pi$
$968$	−12.9184	+	12.9184i	−0.415212	+	0.415212i
$969$	49.8491	−	14.7630i	1.60138	−	0.474256i
$970$	−11.7212	−	19.6490i	−0.376347	−	0.630890i
$971$	29.4711	+	5.19655i	0.945772	+	0.166765i	0.625205	−	0.780461i	$-0.285015\pi$
$971$	29.4711	+	5.19655i	0.945772	+	0.166765i	0.320567	+	0.947226i	$0.396126\pi$
$972$	1.82574	+	20.8684i	0.0585608	+	0.669353i
$973$	−1.86352	−	3.99633i	−0.0597417	−	0.128117i
$974$	7.81592	+	21.4741i	0.250438	+	0.688073i
$975$	30.0136	−	6.17997i	0.961205	−	0.197918i
$976$	−10.0131	−	17.3431i	−0.320511	−	0.555141i
$977$	−18.2636	+	4.89371i	−0.584303	+	0.156564i	−0.538848	−	0.842403i	$-0.681140\pi$
$977$	−18.2636	+	4.89371i	−0.584303	+	0.156564i	−0.0454549	+	0.998966i	$0.514474\pi$
$978$	0.201344	−	0.287549i	0.00643827	−	0.00919480i
$979$	12.6026	+	71.4730i	0.402782	+	2.28429i
$980$	0.207901	+	14.5709i	0.00664115	+	0.465449i
$981$	25.5827	−	14.7702i	0.816793	−	0.471576i
$982$	42.1854	+	3.69075i	1.34619	+	0.117777i
$983$	21.6053	−	46.3328i	0.689103	−	1.47779i	−0.180264	−	0.983618i	$-0.557695\pi$
$983$	21.6053	−	46.3328i	0.689103	−	1.47779i	0.869367	−	0.494168i	$-0.164527\pi$
$984$	−0.872090	−	0.317415i	−0.0278012	−	0.0101188i
$985$	−0.305935	+	0.220789i	−0.00974792	+	0.00703493i
$986$	0.00418885	−	0.0237561i	0.000133400	−	0.000756549i
$987$	−2.53254	−	2.53254i	−0.0806117	−	0.0806117i
$988$	−7.61618	+	6.73748i	−0.242303	+	0.214348i
$989$		−	1.52428i		−	0.0484694i
$990$	−50.1951	−	22.5402i	−1.59531	−	0.716375i
$991$	35.3727	−	42.1556i	1.12365	−	1.33912i	0.189648	−	0.981852i	$-0.439265\pi$
$991$	35.3727	−	42.1556i	1.12365	−	1.33912i	0.934003	−	0.357264i	$-0.116290\pi$
$992$	−14.8640	+	6.93120i	−0.471933	+	0.220066i
$993$	−28.7047	−	13.3852i	−0.910915	−	0.424767i
$994$	4.00970	+	4.77857i	0.127180	+	0.151567i
$995$	5.44894	−	9.75671i	0.172743	−	0.309308i
$996$	32.2812	+	18.6375i	1.02287	+	0.590553i
$997$	11.6457	+	8.15440i	0.368823	+	0.258252i	0.743264	−	0.668998i	$-0.233277\pi$
$997$	11.6457	+	8.15440i	0.368823	+	0.258252i	−0.374441	+	0.927251i	$0.622166\pi$
$998$	26.5235	+	18.5720i	0.839588	+	0.587886i
$999$	2.07842	+	1.19997i	0.0657582	+	0.0379655i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.r.a.78.3	yes	96
3.2	odd	2		855.2.dl.a.838.6		96
5.2	odd	4	inner	95.2.r.a.2.3	✓	96
5.3	odd	4		475.2.bb.b.382.6		96
5.4	even	2		475.2.bb.b.268.6		96
15.2	even	4		855.2.dl.a.667.6		96
19.10	odd	18	inner	95.2.r.a.48.3	yes	96
57.29	even	18		855.2.dl.a.523.6		96
95.29	odd	18		475.2.bb.b.143.6		96
95.48	even	36		475.2.bb.b.257.6		96
95.67	even	36	inner	95.2.r.a.67.3	yes	96
285.257	odd	36		855.2.dl.a.352.6		96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.r.a.2.3	✓	96	5.2	odd	4	inner
95.2.r.a.48.3	yes	96	19.10	odd	18	inner
95.2.r.a.67.3	yes	96	95.67	even	36	inner
95.2.r.a.78.3	yes	96	1.1	even	1	trivial
475.2.bb.b.143.6		96	95.29	odd	18
475.2.bb.b.257.6		96	95.48	even	36
475.2.bb.b.268.6		96	5.4	even	2
475.2.bb.b.382.6		96	5.3	odd	4
855.2.dl.a.352.6		96	285.257	odd	36
855.2.dl.a.523.6		96	57.29	even	18
855.2.dl.a.667.6		96	15.2	even	4
855.2.dl.a.838.6		96	3.2	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.r (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.40505 + 0.983828i) q^{2} +(2.46557 - 0.215709i) q^{3} +(0.322212 - 0.885271i) q^{4} +(1.41273 - 1.73326i) q^{5} +(-3.25203 + 2.72877i) q^{6} +(-0.277305 - 0.0743036i) q^{7} +(-0.469650 - 1.75276i) q^{8} +(3.07806 - 0.542745i) q^{9} +(-0.279734 + 3.82520i) q^{10} +(-2.29500 + 3.97505i) q^{11} +(0.603475 - 2.25220i) q^{12} +(-0.215819 + 2.46682i) q^{13} +(0.462730 - 0.168420i) q^{14} +(3.10931 - 4.57820i) q^{15} +(3.82765 + 3.21178i) q^{16} +(-2.76411 - 3.94756i) q^{17} +(-3.79086 + 3.79086i) q^{18} +(-1.73832 + 3.99728i) q^{19} +(-1.07920 - 1.80913i) q^{20} +(-0.699742 - 0.123383i) q^{21} +(-0.686176 - 7.84303i) q^{22} +(-3.21082 - 6.88562i) q^{23} +(-1.53604 - 4.22023i) q^{24} +(-1.00837 - 4.89726i) q^{25} +(-2.12369 - 3.67833i) q^{26} +(0.300132 - 0.0804202i) q^{27} +(-0.155130 + 0.221548i) q^{28} +(-0.000506761 - 0.00287398i) q^{29} +(0.135429 + 9.49163i) q^{30} +(2.87440 - 1.65954i) q^{31} +(-4.92252 - 0.430665i) q^{32} +(-4.80101 + 10.2958i) q^{33} +(7.76743 + 2.82711i) q^{34} +(-0.520545 + 0.375670i) q^{35} +(0.511312 - 2.89980i) q^{36} +(5.46158 + 5.46158i) q^{37} +(-1.49020 - 7.32659i) q^{38} +6.12865i q^{39} +(-3.70147 - 1.66215i) q^{40} +(0.132829 - 0.158299i) q^{41} +(1.10456 - 0.515065i) q^{42} +(0.181834 + 0.0847905i) q^{43} +(2.77952 + 3.31250i) q^{44} +(3.40776 - 6.10183i) q^{45} +(11.2856 + 6.51576i) q^{46} +(4.12905 + 2.89119i) q^{47} +(10.1301 + 7.09320i) q^{48} +(-5.99080 - 3.45879i) q^{49} +(6.23488 + 5.88884i) q^{50} +(-7.66662 - 9.13672i) q^{51} +(2.11426 + 0.985897i) q^{52} +(2.39334 - 1.11603i) q^{53} +(-0.342582 + 0.408273i) q^{54} +(3.64758 + 9.59350i) q^{55} +0.520945i q^{56} +(-3.42370 + 10.2305i) q^{57} +(0.00353953 + 0.00353953i) q^{58} +(-0.369926 + 2.09795i) q^{59} +(-3.05109 - 4.22773i) q^{60} +(-3.76621 - 1.37079i) q^{61} +(-2.40598 + 5.15965i) q^{62} +(-0.893889 - 0.0782052i) q^{63} +(-1.31435 + 0.758840i) q^{64} +(3.97074 + 3.85902i) q^{65} +(-3.38362 - 19.1895i) q^{66} +(5.20141 - 7.42839i) q^{67} +(-4.38529 + 1.17503i) q^{68} +(-9.40177 - 16.2843i) q^{69} +(0.361798 - 1.03996i) q^{70} +(4.33266 + 11.9039i) q^{71} +(-2.39691 - 5.14019i) q^{72} +(-0.941200 - 10.7580i) q^{73} +(-13.0471 - 2.30055i) q^{74} +(-3.54260 - 11.8570i) q^{75} +(2.97856 + 2.82686i) q^{76} +(0.931774 - 0.931774i) q^{77} +(-6.02954 - 8.61107i) q^{78} +(4.20092 + 3.52499i) q^{79} +(10.9743 - 2.09692i) q^{80} +(-8.08850 + 2.94397i) q^{81} +(-0.0308922 + 0.353099i) q^{82} +(-4.13763 + 15.4419i) q^{83} +(-0.334693 + 0.579705i) q^{84} +(-10.7471 - 0.785925i) q^{85} +(-0.338905 + 0.0597581i) q^{86} +(-0.00186940 - 0.00697668i) q^{87} +(8.04514 + 2.15569i) q^{88} +(12.1125 - 10.1636i) q^{89} +(1.21507 + 11.9260i) q^{90} +(0.243141 - 0.668024i) q^{91} +(-7.13020 + 0.623812i) q^{92} +(6.72905 - 4.71173i) q^{93} -8.64596 q^{94} +(4.47253 + 8.66005i) q^{95} -12.2297 q^{96} +(-4.88649 + 3.42156i) q^{97} +(11.8202 - 1.03414i) q^{98} +(-4.90670 + 13.4810i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8} - 12 q^{10} - 12 q^{11} - 18 q^{12} - 12 q^{13} + 6 q^{15} + 12 q^{16} - 30 q^{17} - 84 q^{20} + 24 q^{21} - 24 q^{22} + 12 q^{25} - 48 q^{26}+ \cdots - 90 q^{98}+O(q^{100}) \) 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8 - 12 * q^10 - 12 * q^11 - 18 * q^12 - 12 * q^13 + 6 * q^15 + 12 * q^16 - 30 * q^17 - 84 * q^20 + 24 * q^21 - 24 * q^22 + 12 * q^25 - 48 * q^26 - 18 * q^27 - 6 * q^30 - 36 * q^31 + 18 * q^32 + 90 * q^33 - 30 * q^35 + 24 * q^36 + 54 * q^38 + 54 * q^40 + 12 * q^41 + 24 * q^42 + 48 * q^43 + 12 * q^45 - 36 * q^46 - 24 * q^47 + 60 * q^48 + 126 * q^50 - 96 * q^51 - 30 * q^53 + 18 * q^55 - 66 * q^57 + 120 * q^58 + 84 * q^60 - 48 * q^61 + 60 * q^62 - 126 * q^63 + 72 * q^65 + 72 * q^66 + 108 * q^67 + 18 * q^68 + 36 * q^70 - 24 * q^71 + 48 * q^72 + 6 * q^73 + 60 * q^76 + 168 * q^77 - 138 * q^78 - 60 * q^80 - 120 * q^81 + 60 * q^82 - 36 * q^85 - 180 * q^86 - 6 * q^87 - 198 * q^88 - 270 * q^90 - 24 * q^91 - 72 * q^92 - 90 * q^93 - 24 * q^95 - 192 * q^96 - 72 * q^97 - 90 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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