LMFDB - Embedded newform 273.2.cd.e.44.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(44,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 4, 9]))

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

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

chi := DirichletCharacter("273.44");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.cd (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$28$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			44.13
Character	$\chi$	$=$	273.44
Dual form			273.2.cd.e.242.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.578797 + 0.155088i) q^{2} +(0.590016 - 1.62846i) q^{3} +(-1.42110 + 0.820471i) q^{4} +(-0.609213 + 0.163238i) q^{5} +(-0.0889444 + 1.03405i) q^{6} +(2.12540 - 1.57565i) q^{7} +(1.54270 - 1.54270i) q^{8} +(-2.30376 - 1.92163i) q^{9} +O(q^{10})$	\(q+(-0.578797 + 0.155088i) q^{2} +(0.590016 - 1.62846i) q^{3} +(-1.42110 + 0.820471i) q^{4} +(-0.609213 + 0.163238i) q^{5} +(-0.0889444 + 1.03405i) q^{6} +(2.12540 - 1.57565i) q^{7} +(1.54270 - 1.54270i) q^{8} +(-2.30376 - 1.92163i) q^{9} +(0.327294 - 0.188963i) q^{10} +(-4.87875 - 1.30726i) q^{11} +(0.497634 + 2.79829i) q^{12} +(2.92387 - 2.10974i) q^{13} +(-0.985809 + 1.24161i) q^{14} +(-0.0936184 + 1.08839i) q^{15} +(0.987288 - 1.71003i) q^{16} +(-1.40216 - 2.42862i) q^{17} +(1.63143 + 0.754949i) q^{18} +(-0.846959 - 3.16090i) q^{19} +(0.731818 - 0.731818i) q^{20} +(-1.31187 - 4.39079i) q^{21} +3.02654 q^{22} +(-0.0947877 + 0.164177i) q^{23} +(-1.60201 - 3.42244i) q^{24} +(-3.98563 + 2.30111i) q^{25} +(-1.36513 + 1.67457i) q^{26} +(-4.48856 + 2.61779i) q^{27} +(-1.72762 + 3.98298i) q^{28} -6.29206i q^{29} +(-0.114611 - 0.644476i) q^{30} +(4.65914 + 1.24841i) q^{31} +(-1.43557 + 5.35761i) q^{32} +(-5.00735 + 7.17354i) q^{33} +(1.18822 + 1.18822i) q^{34} +(-1.03761 + 1.30685i) q^{35} +(4.85052 + 0.840658i) q^{36} +(5.36873 - 1.43855i) q^{37} +(0.980435 + 1.69816i) q^{38} +(-1.71050 - 6.00618i) q^{39} +(-0.688004 + 1.19166i) q^{40} +(1.27587 + 1.27587i) q^{41} +(1.44026 + 2.33792i) q^{42} +1.11979i q^{43} +(8.00574 - 2.14513i) q^{44} +(1.71717 + 0.794622i) q^{45} +(0.0294009 - 0.109726i) q^{46} +(3.19947 + 11.9406i) q^{47} +(-2.20220 - 2.61670i) q^{48} +(2.03465 - 6.69778i) q^{49} +(1.95000 - 1.95000i) q^{50} +(-4.78220 + 0.850443i) q^{51} +(-2.42412 + 5.39709i) q^{52} +(11.7406 - 6.77845i) q^{53} +(2.19198 - 2.21129i) q^{54} +3.18559 q^{55} +(0.848096 - 5.70961i) q^{56} +(-5.64711 - 0.485739i) q^{57} +(0.975824 + 3.64182i) q^{58} +(-4.79496 - 1.28481i) q^{59} +(-0.759953 - 1.62352i) q^{60} +(-3.34959 + 5.80165i) q^{61} -2.89031 q^{62} +(-7.92424 - 0.454312i) q^{63} +0.625545i q^{64} +(-1.43687 + 1.76257i) q^{65} +(1.78571 - 4.92860i) q^{66} +(8.14904 + 2.18353i) q^{67} +(3.98522 + 2.30087i) q^{68} +(0.211430 + 0.251225i) q^{69} +(0.397890 - 0.917323i) q^{70} +(5.98679 + 5.98679i) q^{71} +(-6.51851 + 0.589510i) q^{72} +(0.480360 - 1.79273i) q^{73} +(-2.88430 + 1.66525i) q^{74} +(1.39567 + 7.84813i) q^{75} +(3.79704 + 3.79704i) q^{76} +(-12.4291 + 4.90876i) q^{77} +(1.92152 + 3.21108i) q^{78} +(-4.82027 + 8.34896i) q^{79} +(-0.322326 + 1.20294i) q^{80} +(1.61465 + 8.85398i) q^{81} +(-0.936345 - 0.540599i) q^{82} +(6.08706 + 6.08706i) q^{83} +(5.46680 + 5.16339i) q^{84} +(1.25066 + 1.25066i) q^{85} +(-0.173667 - 0.648132i) q^{86} +(-10.2464 - 3.71241i) q^{87} +(-9.54314 + 5.50973i) q^{88} +(-1.77830 - 6.63669i) q^{89} +(-1.11713 - 0.193613i) q^{90} +(2.89017 - 9.09103i) q^{91} -0.311082i q^{92} +(4.78195 - 6.85064i) q^{93} +(-3.70368 - 6.41497i) q^{94} +(1.03196 + 1.78740i) q^{95} +(7.87764 + 5.49884i) q^{96} +(2.17196 - 2.17196i) q^{97} +(-0.138901 + 4.19220i) q^{98} +(8.72741 + 12.3868i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) $ 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9	$ 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) $ 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9 - 48 * q^13 - 12 * q^15 + 40 * q^16 - 26 * q^18 + 40 * q^19 - 10 * q^21 + 16 * q^22 + 32 * q^24 - 24 * q^27 - 52 * q^28 - 12 * q^31 - 44 * q^33 + 16 * q^34 - 8 * q^37 - 42 * q^39 - 160 * q^40 - 80 * q^42 + 6 * q^45 + 32 * q^46 + 72 * q^48 - 12 * q^52 + 34 * q^54 - 48 * q^55 - 24 * q^57 - 28 * q^58 + 44 * q^60 + 78 * q^63 + 4 * q^66 + 24 * q^67 - 12 * q^70 - 26 * q^72 - 40 * q^73 + 112 * q^76 + 32 * q^78 + 48 * q^79 + 128 * q^81 - 150 * q^84 + 160 * q^85 - 48 * q^87 + 24 * q^91 + 10 * q^93 - 8 * q^94 - 106 * q^96 + 56 * q^97 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−0.578797	+	0.155088i	−0.409271	+	0.109664i	−0.457580	−	0.889169i	$-0.651284\pi$
$2$	−0.578797	+	0.155088i	−0.409271	+	0.109664i	0.0483087	+	0.998832i	$0.484617\pi$
$3$	0.590016	−	1.62846i	0.340646	−	0.940192i
$3$	0.590016	−	1.62846i	0.340646	−	0.940192i
$4$	−1.42110	+	0.820471i	−0.710549	+	0.410236i
$5$	−0.609213	+	0.163238i	−0.272448	+	0.0730023i	−0.392456	−	0.919771i	$-0.628375\pi$
$5$	−0.609213	+	0.163238i	−0.272448	+	0.0730023i	0.120008	+	0.992773i	$0.461708\pi$
$6$	−0.0889444	+	1.03405i	−0.0363114	+	0.422150i
$7$	2.12540	−	1.57565i	0.803325	−	0.595540i
$7$	2.12540	−	1.57565i	0.803325	−	0.595540i
$8$	1.54270	−	1.54270i	0.545426	−	0.545426i
$9$	−2.30376	−	1.92163i	−0.767921	−	0.640545i
$10$	0.327294	−	0.188963i	0.103499	−	0.0597554i
$11$	−4.87875	−	1.30726i	−1.47100	−	0.394153i	−0.567725	−	0.823219i	$-0.692176\pi$
$11$	−4.87875	−	1.30726i	−1.47100	−	0.394153i	−0.903273	+	0.429066i	$0.858843\pi$
$12$	0.497634	+	2.79829i	0.143655	+	0.807797i
$13$	2.92387	−	2.10974i	0.810935	−	0.585136i
$13$	2.92387	−	2.10974i	0.810935	−	0.585136i
$14$	−0.985809	+	1.24161i	−0.263469	+	0.331833i
$15$	−0.0936184	+	1.08839i	−0.0241722	+	0.281021i
$16$	0.987288	−	1.71003i	0.246822	−	0.427508i
$17$	−1.40216	−	2.42862i	−0.340074	−	0.589026i	0.644372	−	0.764712i	$-0.277119\pi$
$17$	−1.40216	−	2.42862i	−0.340074	−	0.589026i	−0.984446	+	0.175686i	$0.943786\pi$
$18$	1.63143	+	0.754949i	0.384532	+	0.177943i
$19$	−0.846959	−	3.16090i	−0.194306	−	0.725159i	−0.992445	−	0.122687i	$-0.960849\pi$
$19$	−0.846959	−	3.16090i	−0.194306	−	0.725159i	0.798140	−	0.602473i	$-0.205818\pi$
$20$	0.731818	−	0.731818i	0.163640	−	0.163640i
$21$	−1.31187	−	4.39079i	−0.286273	−	0.958148i
$22$	3.02654			0.645261
$23$	−0.0947877	+	0.164177i	−0.0197646	+	0.0342333i	−0.875739	−	0.482786i	$-0.839625\pi$
$23$	−0.0947877	+	0.164177i	−0.0197646	+	0.0342333i	0.855974	+	0.517019i	$0.172958\pi$
$24$	−1.60201	−	3.42244i	−0.327008	−	0.698602i
$25$	−3.98563	+	2.30111i	−0.797127	+	0.460221i
$26$	−1.36513	+	1.67457i	−0.267724	+	0.328410i
$27$	−4.48856	+	2.61779i	−0.863824	+	0.503794i
$28$	−1.72762	+	3.98298i	−0.326490	+	0.752713i
$29$		−	6.29206i		−	1.16841i	−0.811607	−	0.584203i	$-0.801407\pi$
$29$		−	6.29206i		−	1.16841i	0.811607	−	0.584203i	$-0.198593\pi$
$30$	−0.114611	−	0.644476i	−0.0209249	−	0.117665i
$31$	4.65914	+	1.24841i	0.836806	+	0.224221i	0.651681	−	0.758493i	$-0.274064\pi$
$31$	4.65914	+	1.24841i	0.836806	+	0.224221i	0.185125	+	0.982715i	$0.440731\pi$
$32$	−1.43557	+	5.35761i	−0.253775	+	0.947100i
$33$	−5.00735	+	7.17354i	−0.871668	+	1.24875i
$34$	1.18822	+	1.18822i	0.203777	+	0.203777i
$35$	−1.03761	+	1.30685i	−0.175389	+	0.220898i
$36$	4.85052	+	0.840658i	0.808419	+	0.140110i
$37$	5.36873	−	1.43855i	0.882613	−	0.236495i	0.211079	−	0.977469i	$-0.432302\pi$
$37$	5.36873	−	1.43855i	0.882613	−	0.236495i	0.671534	+	0.740974i	$0.265636\pi$
$38$	0.980435	+	1.69816i	0.159047	+	0.275478i
$39$	−1.71050	−	6.00618i	−0.273899	−	0.961758i
$40$	−0.688004	+	1.19166i	−0.108783	+	0.188418i
$41$	1.27587	+	1.27587i	0.199258	+	0.199258i	0.799682	−	0.600424i	$-0.205001\pi$
$41$	1.27587	+	1.27587i	0.199258	+	0.199258i	−0.600424	+	0.799682i	$0.705001\pi$
$42$	1.44026	+	2.33792i	0.222237	+	0.360749i
$43$			1.11979i			0.170767i	0.996348	+	0.0853834i	$0.0272115\pi$
$43$			1.11979i			0.170767i	−0.996348	+	0.0853834i	$0.972788\pi$
$44$	8.00574	−	2.14513i	1.20691	−	0.323391i
$45$	1.71717	+	0.794622i	0.255980	+	0.118455i
$46$	0.0294009	−	0.109726i	0.00433492	−	0.0161782i
$47$	3.19947	+	11.9406i	0.466691	+	1.74171i	0.651223	+	0.758886i	$0.274256\pi$
$47$	3.19947	+	11.9406i	0.466691	+	1.74171i	−0.184533	+	0.982826i	$0.559077\pi$
$48$	−2.20220	−	2.61670i	−0.317861	−	0.377689i
$49$	2.03465	−	6.69778i	0.290664	−	0.956825i
$50$	1.95000	−	1.95000i	0.275771	−	0.275771i
$51$	−4.78220	+	0.850443i	−0.669642	+	0.119086i
$52$	−2.42412	+	5.39709i	−0.336165	+	0.748442i
$53$	11.7406	−	6.77845i	1.61270	−	0.931092i	0.623956	−	0.781459i	$-0.285524\pi$
$53$	11.7406	−	6.77845i	1.61270	−	0.931092i	0.988742	−	0.149633i	$-0.0478091\pi$
$54$	2.19198	−	2.21129i	0.298290	−	0.300919i
$55$	3.18559			0.429545
$56$	0.848096	−	5.70961i	0.113332	−	0.762978i
$57$	−5.64711	−	0.485739i	−0.747978	−	0.0643376i
$58$	0.975824	+	3.64182i	0.128132	+	0.478195i
$59$	−4.79496	−	1.28481i	−0.624250	−	0.167267i	−0.0671912	−	0.997740i	$-0.521404\pi$
$59$	−4.79496	−	1.28481i	−0.624250	−	0.167267i	−0.557059	+	0.830473i	$0.688070\pi$
$60$	−0.759953	−	1.62352i	−0.0981095	−	0.209596i
$61$	−3.34959	+	5.80165i	−0.428871	+	0.742826i	−0.996773	−	0.0802700i	$-0.974422\pi$
$61$	−3.34959	+	5.80165i	−0.428871	+	0.742826i	0.567902	+	0.823096i	$0.307755\pi$
$62$	−2.89031			−0.367069
$63$	−7.92424	−	0.454312i	−0.998361	−	0.0572379i
$64$			0.625545i			0.0781932i
$65$	−1.43687	+	1.76257i	−0.178221	+	0.218619i
$66$	1.78571	−	4.92860i	0.219805	−	0.606669i
$67$	8.14904	+	2.18353i	0.995564	+	0.266761i	0.719586	−	0.694403i	$-0.244332\pi$
$67$	8.14904	+	2.18353i	0.995564	+	0.266761i	0.275978	+	0.961164i	$0.410998\pi$
$68$	3.98522	+	2.30087i	0.483279	+	0.279021i
$69$	0.211430	+	0.251225i	0.0254531	+	0.0302439i
$70$	0.397890	−	0.917323i	0.0475570	−	0.109641i
$71$	5.98679	+	5.98679i	0.710501	+	0.710501i	0.966640	−	0.256139i	$-0.0824504\pi$
$71$	5.98679	+	5.98679i	0.710501	+	0.710501i	−0.256139	+	0.966640i	$0.582450\pi$
$72$	−6.51851	+	0.589510i	−0.768214	+	0.0694745i
$73$	0.480360	−	1.79273i	0.0562219	−	0.209823i	−0.932101	−	0.362199i	$-0.882026\pi$
$73$	0.480360	−	1.79273i	0.0562219	−	0.209823i	0.988323	+	0.152376i	$0.0486926\pi$
$74$	−2.88430	+	1.66525i	−0.335293	+	0.193582i
$75$	1.39567	+	7.84813i	0.161158	+	0.906224i
$76$	3.79704	+	3.79704i	0.435550	+	0.435550i
$77$	−12.4291	+	4.90876i	−1.41642	+	0.559405i
$78$	1.92152	+	3.21108i	0.217569	+	0.363583i
$79$	−4.82027	+	8.34896i	−0.542323	+	0.939331i	0.456447	+	0.889751i	$0.349122\pi$
$79$	−4.82027	+	8.34896i	−0.542323	+	0.939331i	−0.998770	+	0.0495804i	$0.984212\pi$
$80$	−0.322326	+	1.20294i	−0.0360371	+	0.134492i
$81$	1.61465	+	8.85398i	0.179405	+	0.983775i
$82$	−0.936345	−	0.540599i	−0.103402	−	0.0596992i
$83$	6.08706	+	6.08706i	0.668141	+	0.668141i	0.957286	−	0.289144i	$-0.0933707\pi$
$83$	6.08706	+	6.08706i	0.668141	+	0.668141i	−0.289144	+	0.957286i	$0.593371\pi$
$84$	5.46680	+	5.16339i	0.596477	+	0.563372i
$85$	1.25066	+	1.25066i	0.135653	+	0.135653i
$86$	−0.173667	−	0.648132i	−0.0187269	−	0.0698899i
$87$	−10.2464	−	3.71241i	−1.09853	−	0.398013i
$88$	−9.54314	+	5.50973i	−1.01730	+	0.587340i
$89$	−1.77830	−	6.63669i	−0.188499	−	0.703488i	−0.993854	−	0.110695i	$-0.964692\pi$
$89$	−1.77830	−	6.63669i	−0.188499	−	0.703488i	0.805355	−	0.592792i	$-0.201974\pi$
$90$	−1.11713	−	0.193613i	−0.117755	−	0.0204086i
$91$	2.89017	−	9.09103i	0.302972	−	0.952999i
$92$		−	0.311082i		−	0.0324326i
$93$	4.78195	−	6.85064i	0.495866	−	0.710378i
$94$	−3.70368	−	6.41497i	−0.382006	−	0.661654i
$95$	1.03196	+	1.78740i	0.105877	+	0.183384i
$96$	7.87764	+	5.49884i	0.804009	+	0.561223i
$97$	2.17196	−	2.17196i	0.220529	−	0.220529i	−0.588192	−	0.808721i	$-0.700160\pi$
$97$	2.17196	−	2.17196i	0.220529	−	0.220529i	0.808721	+	0.588192i	$0.200160\pi$
$98$	−0.138901	+	4.19220i	−0.0140311	+	0.423476i
$99$	8.72741	+	12.3868i	0.877138	+	1.24492i
$100$	3.77598	−	6.54019i	0.377598	−	0.654019i
$101$	−0.875463	−	1.51635i	−0.0871119	−	0.150882i	0.819177	−	0.573540i	$-0.194430\pi$
$101$	−0.875463	−	1.51635i	−0.0871119	−	0.150882i	−0.906289	+	0.422658i	$0.861097\pi$
$102$	2.63603	−	1.23390i	0.261006	−	0.122174i
$103$	−14.3362	−	8.27701i	−1.41259	−	0.815558i	−0.416957	−	0.908926i	$-0.636903\pi$
$103$	−14.3362	−	8.27701i	−1.41259	−	0.815558i	−0.995632	+	0.0933679i	$0.970237\pi$
$104$	1.25595	−	7.76534i	0.123156	−	0.761454i
$105$	1.51595	+	2.46078i	0.147941	+	0.240147i
$106$	−5.74417	+	5.74417i	−0.557924	+	0.557924i
$107$	−12.2699	−	7.08403i	−1.18618	−	0.684839i	−0.228741	−	0.973487i	$-0.573461\pi$
$107$	−12.2699	−	7.08403i	−1.18618	−	0.684839i	−0.957435	+	0.288649i	$0.906794\pi$
$108$	4.23086	−	7.40287i	0.407115	−	0.712342i
$109$	−2.24370	−	0.601199i	−0.214908	−	0.0575844i	0.149759	−	0.988723i	$-0.452150\pi$
$109$	−2.24370	−	0.601199i	−0.214908	−	0.0575844i	−0.364667	+	0.931138i	$0.618817\pi$
$110$	−1.84381	+	0.494047i	−0.175800	+	0.0471055i
$111$	0.825018	−	9.59152i	0.0783073	−	0.910387i
$112$	−0.596034	−	5.19012i	−0.0563199	−	0.490420i
$113$		−	2.48413i		−	0.233687i	−0.993150	−	0.116844i	$-0.962722\pi$
$113$		−	2.48413i		−	0.233687i	0.993150	−	0.116844i	$-0.0372776\pi$
$114$	3.34386	−	0.594656i	0.313181	−	0.0556946i
$115$	0.0309459	−	0.115492i	0.00288572	−	0.0107697i
$116$	5.16245	+	8.94163i	0.479322	+	0.830210i
$117$	−10.7900	−	0.758262i	−0.997540	−	0.0701013i
$118$	2.97456			0.273831
$119$	−6.80680	−	2.95246i	−0.623979	−	0.270652i
$120$	1.53463	+	1.82348i	0.140092	+	0.166461i
$121$	12.5670	+	7.25555i	1.14245	+	0.659595i
$122$	1.03896	−	3.87746i	0.0940632	−	0.351049i
$123$	2.83050	−	1.32492i	0.255217	−	0.119464i
$124$	−7.64538	+	2.04857i	−0.686575	+	0.183967i
$125$	4.28234	−	4.28234i	0.383024	−	0.383024i
$126$	4.65698	−	0.966001i	0.414877	−	0.0860582i
$127$		−	18.0650i		−	1.60301i	−0.597986	−	0.801506i	$-0.704032\pi$
$127$		−	18.0650i		−	1.60301i	0.597986	−	0.801506i	$-0.295968\pi$
$128$	−2.96815	−	11.0773i	−0.262350	−	0.979102i
$129$	1.82354	+	0.660695i	0.160554	+	0.0581710i
$130$	0.558301	−	1.24301i	0.0489662	−	0.109019i
$131$	6.72144	+	3.88062i	0.587255	+	0.339052i	0.764011	−	0.645203i	$-0.223227\pi$
$131$	6.72144	+	3.88062i	0.587255	+	0.339052i	−0.176756	+	0.984255i	$0.556561\pi$
$132$	1.23025	−	14.3027i	0.107080	−	1.24489i
$133$	−6.78060	−	5.38365i	−0.587952	−	0.466822i
$134$	−5.05528			−0.436709
$135$	2.30716	−	2.32750i	0.198569	−	0.200319i
$136$	−5.90973	−	1.58351i	−0.506755	−	0.135785i
$137$	17.0570	+	4.57040i	1.45728	+	0.390476i	0.898548	−	0.438875i	$-0.144623\pi$
$137$	17.0570	+	4.57040i	1.45728	+	0.390476i	0.558728	+	0.829351i	$0.311290\pi$
$138$	−0.161337	−	0.112618i	−0.0137339	−	0.00958668i
$139$	−9.21743			−0.781812			−0.390906	−	0.920431i	$-0.627838\pi$
$139$	−9.21743			−0.781812			−0.390906	+	0.920431i	$0.627838\pi$
$140$	0.402316	−	2.70850i	0.0340019	−	0.228910i
$141$	21.3325	+	1.83492i	1.79652	+	0.154528i
$142$	−4.39361	−	2.53665i	−0.368704	−	0.212871i
$143$	−17.0228	+	6.47064i	−1.42352	+	0.541102i
$144$	−5.56053	+	2.04230i	−0.463378	+	0.170192i
$145$	1.02710	+	3.83320i	0.0852963	+	0.318330i
$146$			1.11212i			0.0920400i
$147$	−9.70659	−	7.26513i	−0.800586	−	0.599218i
$148$	−6.44920	+	6.44920i	−0.530121	+	0.530121i
$149$	14.7672	−	3.95685i	1.20977	−	0.324158i	0.403100	−	0.915156i	$-0.367933\pi$
$149$	14.7672	−	3.95685i	1.20977	−	0.324158i	0.806673	+	0.590998i	$0.201266\pi$
$150$	−2.02496	−	4.32602i	−0.165338	−	0.353218i
$151$	1.39020	−	5.18831i	0.113133	−	0.422218i	−0.886007	−	0.463671i	$-0.846532\pi$
$151$	1.39020	−	5.18831i	0.113133	−	0.422218i	0.999140	+	0.0414528i	$0.0131986\pi$
$152$	−6.18291	−	3.56971i	−0.501500	−	0.289541i
$153$	−1.43666	+	8.28939i	−0.116147	+	0.670158i
$154$	6.43261	−	4.76878i	0.518355	−	0.384279i
$155$	−3.04219			−0.244355
$156$	7.35868	+	7.13195i	0.589166	+	0.571013i
$157$	4.42043	+	7.65640i	0.352788	+	0.611047i	0.986737	−	0.162328i	$-0.0519002\pi$
$157$	4.42043	+	7.65640i	0.352788	+	0.611047i	−0.633949	+	0.773375i	$0.718567\pi$
$158$	1.49513	−	5.57991i	0.118946	−	0.443914i
$159$	−4.11128	−	23.1185i	−0.326046	−	1.83342i
$160$		−	3.49826i		−	0.276562i
$161$	0.0572242	+	0.498294i	0.00450990	+	0.0392711i
$162$	−2.30770	−	4.87424i	−0.181310	−	0.382956i
$163$	15.7150	−	4.21081i	1.23089	−	0.329816i	0.415964	−	0.909381i	$-0.363444\pi$
$163$	15.7150	−	4.21081i	1.23089	−	0.329816i	0.814926	+	0.579565i	$0.196778\pi$
$164$	−2.85996	−	0.766324i	−0.223325	−	0.0598398i
$165$	1.87955	−	5.18760i	0.146323	−	0.403854i
$166$	−4.46720	−	2.57914i	−0.346722	−	0.200180i
$167$	−0.0342068	+	0.0342068i	−0.00264700	+	0.00264700i	−0.708429	−	0.705782i	$-0.750596\pi$
$167$	−0.0342068	+	0.0342068i	−0.00264700	+	0.00264700i	0.705782	+	0.708429i	$0.250596\pi$
$168$	−8.79747	−	4.74985i	−0.678740	−	0.366459i
$169$	4.09800	−	12.3372i	0.315231	−	0.949015i
$170$	−0.917838	−	0.529914i	−0.0703950	−	0.0406425i
$171$	−4.12289	+	8.90950i	−0.315285	+	0.681327i
$172$	−0.918757	−	1.59133i	−0.0700546	−	0.121338i
$173$	6.08396	−	10.5377i	0.462555	−	0.801168i	−0.536533	−	0.843880i	$-0.680266\pi$
$173$	6.08396	−	10.5377i	0.462555	−	0.801168i	0.999087	+	0.0427112i	$0.0135995\pi$
$174$	6.50632	+	0.559643i	0.493242	+	0.0424265i
$175$	−4.84532	+	11.1707i	−0.366272	+	0.844429i
$176$	−7.05218	+	7.05218i	−0.531578	+	0.531578i
$177$	−4.92136	+	7.05034i	−0.369912	+	0.529936i
$178$	2.05854	+	3.56550i	0.154294	+	0.267246i
$179$	2.66066	+	4.60841i	0.198867	+	0.344448i	0.948161	−	0.317789i	$-0.102940\pi$
$179$	2.66066	+	4.60841i	0.198867	+	0.344448i	−0.749294	+	0.662237i	$0.769607\pi$
$180$	−3.09222	+	0.279649i	−0.230481	+	0.0208438i
$181$			11.1053i			0.825450i	0.910856	+	0.412725i	$0.135423\pi$
$181$			11.1053i			0.825450i	−0.910856	+	0.412725i	$0.864577\pi$
$182$	−0.262911	+	5.71009i	−0.0194882	+	0.423260i
$183$	7.47145	+	8.87774i	0.552306	+	0.656261i
$184$	0.107047	+	0.399505i	0.00789160	+	0.0294519i
$185$	−3.03587	+	1.75276i	−0.223202	+	0.128866i
$186$	−1.70533	+	4.70675i	−0.125041	+	0.345116i
$187$	3.66597	+	13.6816i	0.268082	+	1.00050i
$188$	−14.3437	−	14.3437i	−1.04612	−	1.04612i
$189$	−5.41526	+	12.6363i	−0.393902	+	0.919153i
$190$	−0.874498	−	0.874498i	−0.0634427	−	0.0634427i
$191$	−7.30603	−	4.21814i	−0.528646	−	0.305214i	0.211819	−	0.977309i	$-0.432061\pi$
$191$	−7.30603	−	4.21814i	−0.528646	−	0.305214i	−0.740465	+	0.672095i	$0.765395\pi$
$192$	1.01868	+	0.369082i	0.0735166	+	0.0266362i
$193$	0.217532	−	0.811840i	0.0156583	−	0.0584375i	−0.957655	−	0.287919i	$-0.907036\pi$
$193$	0.217532	−	0.811840i	0.0156583	−	0.0584375i	0.973313	+	0.229482i	$0.0737032\pi$
$194$	−0.920278	+	1.59397i	−0.0660721	+	0.114440i
$195$	2.02249	+	3.37982i	0.144834	+	0.242034i
$196$	2.60390	+	11.1876i	0.185993	+	0.799112i
$197$	7.41450	+	7.41450i	0.528261	+	0.528261i	0.920054	−	0.391792i	$-0.128145\pi$
$197$	7.41450	+	7.41450i	0.528261	+	0.528261i	−0.391792	+	0.920054i	$0.628145\pi$
$198$	−6.97244	−	5.81591i	−0.495510	−	0.413318i
$199$	0.0921476	−	0.0532014i	0.00653217	−	0.00377135i	−0.496730	−	0.867905i	$-0.665466\pi$
$199$	0.0921476	−	0.0532014i	0.00653217	−	0.00377135i	0.503263	+	0.864134i	$0.332133\pi$
$200$	−2.59872	+	9.69854i	−0.183757	+	0.685791i
$201$	8.36385	−	11.9821i	0.589941	−	0.845150i
$202$	0.741883	+	0.741883i	0.0521987	+	0.0521987i
$203$	−9.91409	−	13.3731i	−0.695833	−	0.938611i
$204$	6.09821	−	5.13222i	0.426960	−	0.359327i
$205$	−0.985550	−	0.569007i	−0.0688338	−	0.0397412i
$206$	9.58142	+	2.56733i	0.667569	+	0.178875i
$207$	0.533857	−	0.196078i	0.0371056	−	0.0136284i
$208$	−0.721025	−	7.08283i	−0.0499941	−	0.491106i
$209$			16.5284i			1.14329i
$210$	−1.25906	−	1.18918i	−0.0868836	−	0.0820615i
$211$	−19.2864			−1.32773			−0.663864	−	0.747853i	$-0.731085\pi$
$211$	−19.2864			−1.32773			−0.663864	+	0.747853i	$0.731085\pi$
$212$	−11.1230	+	19.2657i	−0.763934	+	1.32317i
$213$	13.2815	−	6.21695i	0.910037	−	0.425978i
$214$	8.20042	+	2.19730i	0.560569	+	0.150204i
$215$	−0.182793	−	0.682192i	−0.0124664	−	0.0465251i
$216$	−2.88603	+	10.9630i	−0.196370	+	0.745935i
$217$	11.8696	−	4.68780i	0.805760	−	0.318229i
$218$	1.39189			0.0942705
$219$	−2.63597	−	1.83998i	−0.178122	−	0.124335i
$220$	−4.52703	+	2.61368i	−0.305212	+	0.176214i
$221$	−9.22348	−	4.14275i	−0.620438	−	0.278672i
$222$	1.01001	+	5.67949i	0.0677876	+	0.381182i
$223$	−19.5886	+	19.5886i	−1.31175	+	1.31175i	−0.391624	+	0.920125i	$0.628087\pi$
$223$	−19.5886	+	19.5886i	−1.31175	+	1.31175i	−0.920125	+	0.391624i	$0.871913\pi$
$224$	5.39057	+	13.6490i	0.360173	+	0.911963i
$225$	13.6038	+	2.35772i	0.906923	+	0.157182i
$226$	0.385259	+	1.43781i	0.0256270	+	0.0956414i
$227$	6.28349	−	23.4503i	0.417050	−	1.55645i	−0.363645	−	0.931538i	$-0.618468\pi$
$227$	6.28349	−	23.4503i	0.417050	−	1.55645i	0.780695	−	0.624913i	$-0.214866\pi$
$228$	8.42363	−	3.94301i	0.557869	−	0.261132i
$229$	−13.3404	+	3.57456i	−0.881561	+	0.236214i	−0.671081	−	0.741384i	$-0.734170\pi$
$229$	−13.3404	+	3.57456i	−0.881561	+	0.236214i	−0.210481	+	0.977598i	$0.567503\pi$
$230$			0.0716456i			0.00472417i
$231$	0.660379	+	23.1365i	0.0434497	+	1.52227i
$232$	−9.70675	−	9.70675i	−0.637279	−	0.637279i
$233$	−8.83595	+	15.3043i	−0.578863	+	1.00262i	0.416748	+	0.909022i	$0.363170\pi$
$233$	−8.83595	+	15.3043i	−0.578863	+	1.00262i	−0.995610	+	0.0935972i	$0.970163\pi$
$234$	6.36284	−	1.23453i	0.415952	−	0.0807036i
$235$	−3.89831	−	6.75208i	−0.254298	−	0.440457i
$236$	7.86825	−	2.10829i	0.512179	−	0.137238i
$237$	10.7519	+	12.7756i	0.698411	+	0.829867i
$238$	4.39765	+	0.653219i	0.285057	+	0.0423419i
$239$	−10.2026	−	10.2026i	−0.659950	−	0.659950i	0.295418	−	0.955368i	$-0.404541\pi$
$239$	−10.2026	−	10.2026i	−0.659950	−	0.659950i	−0.955368	+	0.295418i	$0.904541\pi$
$240$	1.76876	+	1.23465i	0.114173	+	0.0796960i
$241$	−4.37567	+	16.3302i	−0.281862	+	1.05192i	0.669240	+	0.743046i	$0.266620\pi$
$241$	−4.37567	+	16.3302i	−0.281862	+	1.05192i	−0.951102	+	0.308877i	$0.900047\pi$
$242$	−8.39897	−	2.25050i	−0.539906	−	0.144668i
$243$	15.3710	+	2.59460i	0.986051	+	0.166443i
$244$		−	10.9930i		−	0.703752i
$245$	−0.146200	+	4.41250i	−0.00934037	+	0.281904i
$246$	−1.43280	+	1.20584i	−0.0913521	+	0.0768814i
$247$	−9.14506	−	7.45518i	−0.581886	−	0.474361i
$248$	9.11357	−	5.26172i	0.578712	−	0.334120i
$249$	13.5040	−	6.32107i	0.855781	−	0.400582i
$250$	−1.81447	+	3.14275i	−0.114757	+	0.198765i
$251$	24.6814			1.55787			0.778937	−	0.627102i	$-0.215759\pi$
$251$	24.6814			1.55787			0.778937	+	0.627102i	$0.215759\pi$
$252$	11.6339	−	5.85599i	0.732865	−	0.368893i
$253$	0.677067	−	0.677067i	0.0425668	−	0.0425668i
$254$	2.80167	+	10.4560i	0.175793	+	0.656067i
$255$	2.77455	−	1.29874i	0.173749	−	0.0813301i
$256$	2.81036	+	4.86769i	0.175648	+	0.304231i
$257$	−2.33559	+	4.04536i	−0.145690	+	0.252343i	−0.929630	−	0.368494i	$-0.879874\pi$
$257$	−2.33559	+	4.04536i	−0.145690	+	0.252343i	0.783940	+	0.620836i	$0.213207\pi$
$258$	−1.15792	−	0.0995992i	−0.0720892	−	0.00620078i
$259$	9.14404	−	11.5167i	0.568183	−	0.715614i
$260$	0.595794	−	3.68369i	0.0369495	−	0.228453i
$261$	−12.0910	+	14.4954i	−0.748416	+	0.897244i
$262$	−4.49218	−	1.20368i	−0.277528	−	0.0743634i
$263$	2.05144	−	1.18440i	0.126497	−	0.0730332i	−0.435416	−	0.900229i	$-0.643399\pi$
$263$	2.05144	−	1.18440i	0.126497	−	0.0730332i	0.561913	+	0.827196i	$0.310065\pi$
$264$	3.34178	+	18.7914i	0.205672	+	1.15653i
$265$	−6.04603	+	6.04603i	−0.371405	+	0.371405i
$266$	4.75953	+	2.06445i	0.291825	+	0.126580i
$267$	−11.8568	−	1.01987i	−0.725625	−	0.0624149i
$268$	−13.3721	+	3.58304i	−0.816831	+	0.218869i
$269$	16.9032	−	9.75907i	1.03061	−	0.595021i	0.113448	−	0.993544i	$-0.463810\pi$
$269$	16.9032	−	9.75907i	1.03061	−	0.595021i	0.917158	+	0.398523i	$0.130477\pi$
$270$	−0.974412	+	1.70496i	−0.0593008	+	0.103761i
$271$	14.1635	−	3.79511i	0.860373	−	0.230536i	0.198453	−	0.980110i	$-0.436408\pi$
$271$	14.1635	−	3.79511i	0.860373	−	0.230536i	0.661920	+	0.749574i	$0.269742\pi$
$272$	−5.53735			−0.335751
$273$	−13.0991	−	10.0704i	−0.792796	−	0.609487i
$274$	−10.5813			−0.639242
$275$	22.4530	−	6.01627i	1.35397	−	0.362795i
$276$	−0.506585	−	0.183543i	−0.0304928	−	0.0110480i
$277$	10.0421	−	5.79783i	0.603374	−	0.348358i	−0.166994	−	0.985958i	$-0.553406\pi$
$277$	10.0421	−	5.79783i	0.603374	−	0.348358i	0.770368	+	0.637600i	$0.220073\pi$
$278$	5.33502	−	1.42951i	0.319973	−	0.0857365i
$279$	−8.33456	−	11.8292i	−0.498977	−	0.708196i
$280$	0.415354	+	3.61680i	0.0248222	+	0.216145i
$281$	9.17695	−	9.17695i	0.547451	−	0.547451i	−0.378252	−	0.925703i	$-0.623475\pi$
$281$	9.17695	−	9.17695i	0.547451	−	0.547451i	0.925703	+	0.378252i	$0.123475\pi$
$282$	−12.6318	+	2.24637i	−0.752210	+	0.133769i
$283$	3.02366	−	1.74571i	0.179738	−	0.103772i	−0.407432	−	0.913236i	$-0.633576\pi$
$283$	3.02366	−	1.74571i	0.179738	−	0.103772i	0.587170	+	0.809464i	$0.300242\pi$
$284$	−13.4198	−	3.59582i	−0.796319	−	0.213373i
$285$	3.51958	−	0.625905i	0.208482	−	0.0370754i
$286$	8.84921	−	6.38522i	0.523265	−	0.377566i
$287$	4.72208	+	0.701409i	0.278735	+	0.0414029i
$288$	13.6026	−	9.58403i	0.801539	−	0.564744i
$289$	4.56789	−	7.91181i	0.268699	−	0.465401i
$290$	−1.18897	−	2.05935i	−0.0698186	−	0.120929i
$291$	−2.25546	−	4.81844i	−0.132217	−	0.282462i
$292$	0.788243	+	2.94176i	0.0461284	+	0.172154i
$293$	−11.5707	+	11.5707i	−0.675966	+	0.675966i	−0.959085	−	0.283119i	$-0.908631\pi$
$293$	−11.5707	+	11.5707i	−0.675966	+	0.675966i	0.283119	+	0.959085i	$0.408631\pi$
$294$	6.74488	+	2.69966i	0.393369	+	0.157447i
$295$	3.13088			0.182287
$296$	6.06308	−	10.5016i	0.352410	−	0.610391i
$297$	25.3207	−	6.90385i	1.46925	−	0.400602i
$298$	−7.93352	+	4.58042i	−0.459577	+	0.265337i
$299$	0.0692243	+	0.680009i	0.00400334	+	0.0393260i
$300$	−8.42255	−	10.0079i	−0.486276	−	0.577804i
$301$	1.76440	+	2.38001i	0.101698	+	0.137181i
$302$			3.21858i			0.185208i
$303$	−2.98585	+	0.530988i	−0.171532	+	0.0305045i
$304$	−6.24143	−	1.67239i	−0.357970	−	0.0959179i
$305$	1.09356	−	4.08122i	0.0626171	−	0.233690i
$306$	−0.454052	−	5.02068i	−0.0259564	−	0.287013i
$307$	1.22279	+	1.22279i	0.0697881	+	0.0697881i	0.741139	−	0.671351i	$-0.234286\pi$
$307$	1.22279	+	1.22279i	0.0697881	+	0.0697881i	−0.671351	+	0.741139i	$0.734286\pi$
$308$	13.6354	−	17.1735i	0.776950	−	0.978552i
$309$	−21.9374	+	18.4624i	−1.24797	+	1.05029i
$310$	1.76081	−	0.471808i	0.100007	−	0.0267969i
$311$	14.5467	+	25.1956i	0.824868	+	1.42871i	0.902020	+	0.431694i	$0.142084\pi$
$311$	14.5467	+	25.1956i	0.824868	+	1.42871i	−0.0771516	+	0.997019i	$0.524583\pi$
$312$	−11.9045	−	6.62694i	−0.673960	−	0.375177i
$313$	3.87011	−	6.70322i	0.218751	−	0.378888i	−0.735675	−	0.677335i	$-0.763135\pi$
$313$	3.87011	−	6.70322i	0.218751	−	0.378888i	0.954427	+	0.298446i	$0.0964683\pi$
$314$	−3.74594	−	3.74594i	−0.211396	−	0.211396i
$315$	4.90171	−	1.01676i	0.276180	−	0.0572882i
$316$		−	15.8196i		−	0.889921i
$317$	2.23446	−	0.598722i	0.125500	−	0.0336276i	−0.195522	−	0.980699i	$-0.562640\pi$
$317$	2.23446	−	0.598722i	0.125500	−	0.0336276i	0.321022	+	0.947072i	$0.395974\pi$
$318$	5.96500	+	12.7433i	0.334501	+	0.714609i
$319$	−8.22534	+	30.6974i	−0.460530	+	1.71872i
$320$	−0.102113	−	0.381090i	−0.00570828	−	0.0213036i
$321$	−18.7755	+	15.8013i	−1.04795	+	0.881945i
$322$	−0.110401	−	0.279536i	−0.00615239	−	0.0155779i
$323$	−6.48903	+	6.48903i	−0.361059	+	0.361059i
$324$	−9.55900	−	11.2576i	−0.531056	−	0.625422i
$325$	−6.79873	+	15.1368i	−0.377126	+	0.839637i
$326$	−8.44272	+	4.87440i	−0.467599	+	0.269968i
$327$	−2.30285	+	3.29907i	−0.127348	+	0.182439i
$328$	3.93658			0.217361
$329$	25.6143	+	20.3373i	1.41216	+	1.12123i
$330$	−0.283340	+	3.29406i	−0.0155974	+	0.181332i
$331$	5.48984	+	20.4884i	0.301749	+	1.12614i	0.935708	+	0.352775i	$0.114762\pi$
$331$	5.48984	+	20.4884i	0.301749	+	1.12614i	−0.633959	+	0.773366i	$0.718571\pi$
$332$	−13.6446	−	3.65605i	−0.748842	−	0.200652i
$333$	−15.1326	−	7.00266i	−0.829263	−	0.383743i
$334$	0.0144937	−	0.0251038i	0.000793060	−	0.00137362i
$335$	−5.32093			−0.290714
$336$	−8.80358	−	2.09164i	−0.480274	−	0.114108i
$337$		−	14.0203i		−	0.763735i	−0.924217	−	0.381867i	$-0.875281\pi$
$337$		−	14.0203i		−	0.763735i	0.924217	−	0.381867i	$-0.124719\pi$
$338$	−0.458555	+	7.77628i	−0.0249421	+	0.422974i
$339$	−4.04530	−	1.46567i	−0.219711	−	0.0796045i
$340$	−2.80343	−	0.751178i	−0.152037	−	0.0407383i
$341$	−21.0988	−	12.1814i	−1.14256	−	0.659659i
$342$	1.00456	−	5.79620i	0.0543202	−	0.313423i
$343$	−6.22893	−	17.4413i	−0.336330	−	0.941744i
$344$	1.72750	+	1.72750i	0.0931407	+	0.0931407i
$345$	−0.169815	−	0.118536i	−0.00914253	−	0.00638177i
$346$	−1.88710	+	7.04275i	−0.101451	+	0.378621i
$347$	−15.8244	+	9.13621i	−0.849497	+	0.490457i	−0.860481	−	0.509482i	$-0.829837\pi$
$347$	−15.8244	+	9.13621i	−0.849497	+	0.490457i	0.0109840	+	0.999940i	$0.496504\pi$
$348$	17.6070	−	3.13115i	0.943835	−	0.167847i
$349$	−0.993560	−	0.993560i	−0.0531841	−	0.0531841i	0.680015	−	0.733199i	$-0.261973\pi$
$349$	−0.993560	−	0.993560i	−0.0531841	−	0.0531841i	−0.733199	+	0.680015i	$0.761973\pi$
$350$	1.07201	−	7.21704i	0.0573012	−	0.385767i
$351$	−7.60109	+	17.1238i	−0.405716	+	0.913999i
$352$	14.0075	−	24.2618i	0.746604	−	1.29316i
$353$	−8.15676	+	30.4414i	−0.434140	+	1.62023i	0.308975	+	0.951070i	$0.400014\pi$
$353$	−8.15676	+	30.4414i	−0.434140	+	1.62023i	−0.743115	+	0.669163i	$0.766653\pi$
$354$	1.75504	−	4.84396i	0.0932793	−	0.257454i
$355$	−4.62450	−	2.66996i	−0.245443	−	0.141707i
$356$	7.97234	+	7.97234i	0.422533	+	0.422533i
$357$	−8.82408	+	9.34261i	−0.467020	+	0.494463i
$358$	−2.25469	−	2.25469i	−0.119164	−	0.119164i
$359$	6.16476	+	23.0072i	0.325364	+	1.21427i	0.913946	+	0.405837i	$0.133020\pi$
$359$	6.16476	+	23.0072i	0.325364	+	1.21427i	−0.588582	+	0.808438i	$0.700314\pi$
$360$	3.87493	−	1.42321i	0.204227	−	0.0750096i
$361$	7.18056	−	4.14570i	0.377924	−	0.218195i
$362$	−1.72230	−	6.42771i	−0.0905221	−	0.337833i
$363$	19.2301	−	16.1839i	1.00932	−	0.849436i
$364$	3.35171	+	15.2905i	0.175678	+	0.801443i
$365$			1.17057i			0.0612702i
$366$	−5.70128	−	3.97967i	−0.298011	−	0.208021i
$367$	8.47298	+	14.6756i	0.442286	+	0.766061i	0.997859	−	0.0654064i	$-0.0208344\pi$
$367$	8.47298	+	14.6756i	0.442286	+	0.766061i	−0.555573	+	0.831468i	$0.687501\pi$
$368$	0.187165	+	0.324180i	0.00975667	+	0.0168991i
$369$	−0.487549	−	5.39107i	−0.0253808	−	0.280648i
$370$	1.48532	−	1.48532i	0.0772181	−	0.0772181i
$371$	14.2730	−	32.9060i	0.741019	−	1.70840i
$372$	−1.17487	+	13.6589i	−0.0609144	+	0.708180i
$373$	13.4127	−	23.2315i	0.694484	−	1.20288i	−0.275870	−	0.961195i	$-0.588966\pi$
$373$	13.4127	−	23.2315i	0.694484	−	1.20288i	0.970354	−	0.241687i	$-0.0777008\pi$
$374$	−4.24370	−	7.35031i	−0.219437	−	0.380075i
$375$	−4.44697	−	9.50027i	−0.229641	−	0.490592i
$376$	23.3565	+	13.4849i	1.20452	+	0.695431i
$377$	−13.2746	−	18.3971i	−0.683677	−	0.947501i
$378$	1.17460	−	8.15367i	0.0604148	−	0.419379i
$379$	0.604563	−	0.604563i	0.0310543	−	0.0310543i	−0.691409	−	0.722463i	$-0.743010\pi$
$379$	0.604563	−	0.604563i	0.0310543	−	0.0310543i	0.722463	+	0.691409i	$0.243010\pi$
$380$	−2.93302	−	1.69338i	−0.150461	−	0.0868686i
$381$	−29.4182	−	10.6587i	−1.50714	−	0.546059i
$382$	4.88289	+	1.30837i	0.249830	+	0.0669419i
$383$	−30.9591	+	8.29547i	−1.58194	+	0.423879i	−0.939525	−	0.342480i	$-0.888733\pi$
$383$	−30.9591	+	8.29547i	−1.58194	+	0.423879i	−0.642412	+	0.766359i	$0.722066\pi$
$384$	−19.7902	−	1.70226i	−1.00991	−	0.0868680i
$385$	6.77065	−	5.01938i	0.345064	−	0.255811i
$386$			0.503627i			0.0256339i
$387$	2.15183	−	2.57974i	0.109384	−	0.131135i
$388$	−1.30454	+	4.86860i	−0.0662278	+	0.247166i
$389$	−13.6175	−	23.5862i	−0.690435	−	1.19587i	−0.971696	−	0.236236i	$-0.924086\pi$
$389$	−13.6175	−	23.5862i	−0.690435	−	1.19587i	0.281261	−	0.959631i	$-0.409247\pi$
$390$	−1.69478	−	1.64256i	−0.0858187	−	0.0831745i
$391$	0.531631			0.0268857
$392$	−7.19381	−	13.4715i	−0.363342	−	0.680413i
$393$	10.2852	−	8.65596i	0.518819	−	0.436636i
$394$	−5.44139	−	3.14159i	−0.274133	−	0.158271i
$395$	1.57370	−	5.87314i	0.0791816	−	0.295510i
$396$	−22.5655	−	10.4422i	−1.13396	−	0.524742i
$397$	27.7511	−	7.43588i	1.39279	−	0.373196i	0.517038	−	0.855962i	$-0.327034\pi$
$397$	27.7511	−	7.43588i	1.39279	−	0.373196i	0.875749	+	0.482766i	$0.160368\pi$
$398$	−0.0450838	+	0.0450838i	−0.00225985	+	0.00225985i
$399$	−12.7677	+	7.86549i	−0.639186	+	0.393767i
$400$			9.08742i			0.454371i
$401$	−0.944439	−	3.52469i	−0.0471630	−	0.176015i	0.938327	−	0.345750i	$-0.112375\pi$
$401$	−0.944439	−	3.52469i	−0.0471630	−	0.176015i	−0.985490	+	0.169735i	$0.945709\pi$
$402$	−2.98269	+	8.23232i	−0.148763	+	0.410591i
$403$	16.2565	−	6.17938i	0.809795	−	0.307817i
$404$	2.48824	+	1.43658i	0.123794	+	0.0714728i
$405$	−2.42897	−	5.13038i	−0.120696	−	0.254931i
$406$	7.81226	+	6.20277i	0.387716	+	0.307838i
$407$	−28.0732			−1.39154
$408$	−6.06551	+	8.68947i	−0.300288	+	0.430193i
$409$	−6.90735	−	1.85082i	−0.341547	−	0.0915171i	0.0839687	−	0.996468i	$-0.473240\pi$
$409$	−6.90735	−	1.85082i	−0.341547	−	0.0915171i	−0.425515	+	0.904951i	$0.639907\pi$
$410$	0.658679	+	0.176493i	0.0325298	+	0.00871635i
$411$	17.5066	−	25.0800i	0.863537	−	1.23711i
$412$	27.1642			1.33828
$413$	−12.2156	+	4.82446i	−0.601091	+	0.237396i
$414$	−0.278585	+	0.196284i	−0.0136917	+	0.00964683i
$415$	−4.70195	−	2.71467i	−0.230810	−	0.133258i
$416$	7.10575	+	18.6936i	0.348388	+	0.916529i
$417$	−5.43843	+	15.0102i	−0.266321	+	0.735053i
$418$	−2.56336	−	9.56659i	−0.125378	−	0.467917i
$419$			1.06805i			0.0521776i	0.999660	+	0.0260888i	$0.00830526\pi$
$419$			1.06805i			0.0521776i	−0.999660	+	0.0260888i	$0.991695\pi$
$420$	−4.17331	−	2.25321i	−0.203636	−	0.109945i
$421$	13.1501	−	13.1501i	0.640898	−	0.640898i	−0.309878	−	0.950776i	$-0.600288\pi$
$421$	13.1501	−	13.1501i	0.640898	−	0.640898i	0.950776	+	0.309878i	$0.100288\pi$
$422$	11.1629	−	2.99109i	0.543401	−	0.145604i
$423$	15.5746	−	33.6565i	0.757263	−	1.63643i
$424$	7.65513	−	28.5693i	0.371766	−	1.38745i
$425$	11.1770	+	6.45305i	0.542164	+	0.313019i
$426$	−6.72314	+	5.65816i	−0.325737	+	0.274139i
$427$	2.02217	+	17.6086i	0.0978599	+	0.852141i
$428$	23.2490			1.12378
$429$	0.493474	+	31.5387i	0.0238252	+	1.52270i
$430$	0.211600	+	0.366501i	0.0102042	+	0.0176743i
$431$	4.57072	−	17.0582i	0.220164	−	0.821662i	−0.764121	−	0.645073i	$-0.776827\pi$
$431$	4.57072	−	17.0582i	0.220164	−	0.821662i	0.984285	−	0.176589i	$-0.0565064\pi$
$432$	0.0450090	+	10.2601i	0.00216550	+	0.493639i
$433$			22.5992i			1.08605i	0.839717	+	0.543025i	$0.182721\pi$
$433$			22.5992i			1.08605i	−0.839717	+	0.543025i	$0.817279\pi$
$434$	−6.14306	+	4.55412i	−0.294876	+	0.218605i
$435$	6.84822	+	0.589053i	0.328347	+	0.0282429i
$436$	3.68179	−	0.986532i	0.176326	−	0.0472463i
$437$	0.599228	+	0.160563i	0.0286650	+	0.00768075i
$438$	1.81105	+	0.656170i	0.0865352	+	0.0313530i
$439$	−7.07699	−	4.08590i	−0.337766	−	0.195010i	0.321517	−	0.946904i	$-0.395807\pi$
$439$	−7.07699	−	4.08590i	−0.337766	−	0.195010i	−0.659284	+	0.751894i	$0.729140\pi$
$440$	4.91440	−	4.91440i	0.234285	−	0.234285i
$441$	−17.5580	+	11.5202i	−0.836096	+	0.548583i
$442$	5.98101	+	0.967359i	0.284488	+	0.0460126i
$443$	−15.5991	−	9.00612i	−0.741133	−	0.427894i	0.0813479	−	0.996686i	$-0.474078\pi$
$443$	−15.5991	−	9.00612i	−0.741133	−	0.427894i	−0.822481	+	0.568792i	$0.807411\pi$
$444$	6.69713	+	14.3074i	0.317832	+	0.678999i
$445$	2.16672	+	3.75287i	0.102712	+	0.177903i
$446$	8.29986	−	14.3758i	0.393010	−	0.680713i
$447$	2.26929	−	26.3823i	0.107334	−	1.24784i
$448$	0.985641	+	1.32953i	0.0465672	+	0.0628146i
$449$	−1.78185	+	1.78185i	−0.0840906	+	0.0840906i	−0.747901	−	0.663810i	$-0.768938\pi$
$449$	−1.78185	+	1.78185i	−0.0840906	+	0.0840906i	0.663810	+	0.747901i	$0.268938\pi$
$450$	−8.23951	+	0.745151i	−0.388414	+	0.0351268i
$451$	−4.55677	−	7.89256i	−0.214570	−	0.371646i
$452$	2.03816	+	3.53019i	0.0958668	+	0.166046i
$453$	−7.62871	−	5.32507i	−0.358428	−	0.250194i
$454$			14.5474i			0.682745i
$455$	−0.276727	+	6.01016i	−0.0129731	+	0.281761i
$456$	−9.46114	+	7.96244i	−0.443058	+	0.372875i
$457$	0.574076	+	2.14248i	0.0268542	+	0.100221i	0.978052	−	0.208360i	$-0.0668126\pi$
$457$	0.574076	+	2.14248i	0.0268542	+	0.100221i	−0.951198	+	0.308581i	$0.900146\pi$
$458$	7.16703	−	4.13789i	0.334893	−	0.193351i
$459$	12.6513	+	7.23042i	0.590512	+	0.337487i
$460$	0.0507804	+	0.189515i	0.00236765	+	0.00883619i
$461$	4.60624	+	4.60624i	0.214534	+	0.214534i	0.806190	−	0.591656i	$-0.201526\pi$
$461$	4.60624	+	4.60624i	0.214534	+	0.214534i	−0.591656	+	0.806190i	$0.701526\pi$
$462$	−3.97042	−	13.2889i	−0.184721	−	0.618256i
$463$	−10.6044	−	10.6044i	−0.492827	−	0.492827i	0.416369	−	0.909196i	$-0.363303\pi$
$463$	−10.6044	−	10.6044i	−0.492827	−	0.492827i	−0.909196	+	0.416369i	$0.863303\pi$
$464$	−10.7596	−	6.21207i	−0.499503	−	0.288388i
$465$	−1.79494	+	4.95409i	−0.0832384	+	0.229740i
$466$	2.74070	−	10.2284i	0.126961	−	0.473823i
$467$	21.4057	−	37.0758i	0.990540	−	1.71567i	0.376428	−	0.926446i	$-0.377152\pi$
$467$	21.4057	−	37.0758i	0.990540	−	1.71567i	0.614112	−	0.789219i	$-0.289514\pi$
$468$	15.9558	−	7.77535i	0.737559	−	0.359416i
$469$	20.7604	−	8.19918i	0.958628	−	0.378603i
$470$	3.30350	+	3.30350i	0.152379	+	0.152379i
$471$	15.0763	−	2.68109i	0.694678	−	0.123538i
$472$	−9.37924	+	5.41511i	−0.431715	+	0.249251i
$473$	1.46386	−	5.46319i	0.0673082	−	0.251198i
$474$	−8.20452	−	5.72700i	−0.376846	−	0.263050i
$475$	10.6492	+	10.6492i	0.488620	+	0.488620i
$476$	12.0955	−	1.38905i	0.554398	−	0.0636671i
$477$	−40.0733	−	6.94523i	−1.83483	−	0.318000i
$478$	7.48751	+	4.32292i	0.342471	+	0.197726i
$479$	18.3716	+	4.92266i	0.839421	+	0.224922i	0.652819	−	0.757514i	$-0.273586\pi$
$479$	18.3716	+	4.92266i	0.839421	+	0.224922i	0.186601	+	0.982436i	$0.440253\pi$
$480$	−5.69678	−	2.06403i	−0.260021	−	0.0942096i
$481$	12.6625	−	15.5327i	0.577360	−	0.708232i
$482$		−	10.1305i		−	0.461432i
$483$	0.845215	+	0.200814i	0.0384586	+	0.00913736i
$484$	−23.8119			−1.08236
$485$	−0.968639	+	1.67773i	−0.0439836	+	0.0761819i
$486$	−9.29908	+	0.882118i	−0.421815	+	0.0400137i
$487$	−40.6366	−	10.8885i	−1.84142	−	0.493407i	−0.842450	−	0.538774i	$-0.818888\pi$
$487$	−40.6366	−	10.8885i	−1.84142	−	0.493407i	−0.998970	+	0.0453670i	$0.985554\pi$
$488$	3.78280	+	14.1176i	0.171239	+	0.639074i
$489$	2.41494	−	28.0756i	0.109207	−	1.26962i
$490$	−0.599706	−	2.57662i	−0.0270920	−	0.116400i
$491$	−30.4714			−1.37516			−0.687578	−	0.726110i	$-0.741326\pi$
$491$	−30.4714			−1.37516			−0.687578	+	0.726110i	$0.741326\pi$
$492$	−2.93535	+	4.20519i	−0.132336	+	0.189584i
$493$	−15.2810	+	8.82249i	−0.688221	+	0.397345i
$494$	6.44934	+	2.89674i	0.290170	+	0.130330i
$495$	−7.33884	−	6.12153i	−0.329856	−	0.275142i
$496$	6.73473	−	6.73473i	0.302399	−	0.302399i
$497$	22.1574	+	3.29123i	0.993896	+	0.147632i
$498$	−6.83574	+	5.75292i	−0.306317	+	0.257795i
$499$	4.69363	+	17.5169i	0.210116	+	0.784162i	0.987829	+	0.155543i	$0.0497128\pi$
$499$	4.69363	+	17.5169i	0.210116	+	0.784162i	−0.777713	+	0.628619i	$0.783621\pi$
$500$	−2.57209	+	9.59917i	−0.115027	+	0.429288i
$501$	0.0355218	+	0.0758869i	0.00158700	+	0.00339038i
$502$	−14.2855	+	3.82779i	−0.637593	+	0.170843i
$503$			43.5885i			1.94351i	0.235984	+	0.971757i	$0.424169\pi$
$503$			43.5885i			1.94351i	−0.235984	+	0.971757i	$0.575831\pi$
$504$	−12.9256	+	11.5238i	−0.575751	+	0.513313i
$505$	0.780869	+	0.780869i	0.0347482	+	0.0347482i
$506$	−0.286879	+	0.496889i	−0.0127533	+	0.0220894i
$507$	−17.6727	−	13.9526i	−0.784874	−	0.619655i
$508$	14.8218	+	25.6722i	0.657613	+	1.13902i
$509$	−13.1548	+	3.52481i	−0.583075	+	0.156234i	−0.538286	−	0.842762i	$-0.680928\pi$
$509$	−13.1548	+	3.52481i	−0.583075	+	0.156234i	−0.0447884	+	0.998996i	$0.514261\pi$
$510$	−1.40448	+	1.18200i	−0.0621915	+	0.0523400i
$511$	−1.80376	−	4.56714i	−0.0797935	−	0.202038i
$512$	13.8367	+	13.8367i	0.611502	+	0.611502i
$513$	12.0762	+	11.9707i	0.533177	+	0.528520i
$514$	0.724444	−	2.70366i	0.0319539	−	0.119253i
$515$	10.0849	+	2.70225i	0.444395	+	0.119075i
$516$	−3.13351	+	0.557247i	−0.137945	+	0.0245314i
$517$		−	62.4376i		−	2.74600i
$518$	−3.50643	+	8.08397i	−0.154064	+	0.355189i
$519$	−13.5706	−	16.1249i	−0.595685	−	0.707805i
$520$	0.502456	+	4.93576i	0.0220341	+	0.216447i
$521$	−6.18440	+	3.57056i	−0.270943	+	0.156429i	−0.629316	−	0.777149i	$-0.716665\pi$
$521$	−6.18440	+	3.57056i	−0.270943	+	0.156429i	0.358373	+	0.933579i	$0.383332\pi$
$522$	4.75018	−	10.2651i	0.207910	−	0.449290i
$523$	−11.9815	+	20.7526i	−0.523915	+	0.907448i	0.475697	+	0.879609i	$0.342196\pi$
$523$	−11.9815	+	20.7526i	−0.523915	+	0.907448i	−0.999612	+	0.0278389i	$0.991137\pi$
$524$	−12.7358			−0.556364
$525$	15.3323	+	14.4813i	0.669156	+	0.632017i
$526$	−1.00368	+	1.00368i	−0.0437625	+	0.0437625i
$527$	−3.50095	−	13.0657i	−0.152504	−	0.569152i
$528$	7.32329	+	15.6451i	0.318705	+	0.680865i
$529$	11.4820	+	19.8875i	0.499219	+	0.864672i
$530$	2.56176	−	4.43709i	0.111276	−	0.192735i
$531$	8.57752	+	12.1740i	0.372233	+	0.528308i
$532$	14.0530	+	2.08741i	0.609276	+	0.0905008i
$533$	6.42225	+	1.03872i	0.278178	+	0.0449922i
$534$	7.02085	−	1.24855i	0.303822	−	0.0540302i
$535$	8.63136	+	2.31277i	0.373166	+	0.0999896i
$536$	15.9400	−	9.20299i	0.688505	−	0.397508i
$537$	9.07444	−	1.61375i	0.391591	−	0.0696386i
$538$	−8.27000	+	8.27000i	−0.356545	+	0.356545i
$539$	−18.6822	+	30.0170i	−0.804701	+	1.29292i
$540$	−1.36906	+	5.20056i	−0.0589151	+	0.223796i
$541$	5.78910	−	1.55118i	0.248893	−	0.0666906i	−0.132216	−	0.991221i	$-0.542209\pi$
$541$	5.78910	−	1.55118i	0.248893	−	0.0666906i	0.381108	+	0.924530i	$0.375542\pi$
$542$	−7.60923	+	4.39319i	−0.326844	+	0.188704i
$543$	18.0845	+	6.55230i	0.776082	+	0.281186i
$544$	15.0245	−	4.02579i	0.644169	−	0.172604i
$545$	1.46503			0.0627550
$546$	9.14353	+	3.79718i	0.391307	+	0.162504i
$547$	−6.65319			−0.284470			−0.142235	−	0.989833i	$-0.545429\pi$
$547$	−6.65319			−0.284470			−0.142235	+	0.989833i	$0.545429\pi$
$548$	−27.9895	+	7.49977i	−1.19565	+	0.320374i
$549$	18.8653	−	6.92896i	0.805152	−	0.295721i
$550$	−12.0627	+	6.96440i	−0.514355	+	0.296963i
$551$	−19.8885	+	5.32912i	−0.847281	+	0.227028i
$552$	0.713736	+	0.0613923i	0.0303786	+	0.00261303i
$553$	2.91004	+	25.3399i	0.123747	+	1.07756i
$554$	−4.91318	+	4.91318i	−0.208741	+	0.208741i
$555$	1.06309	+	5.97795i	0.0451256	+	0.253750i
$556$	13.0989	−	7.56263i	0.555516	−	0.320727i
$557$	−14.4605	−	3.87469i	−0.612713	−	0.164176i	−0.0609000	−	0.998144i	$-0.519397\pi$
$557$	−14.4605	−	3.87469i	−0.612713	−	0.164176i	−0.551813	+	0.833968i	$0.686064\pi$
$558$	6.65858	+	5.55411i	0.281880	+	0.235124i
$559$	2.36247	+	3.27413i	0.0999219	+	0.138481i
$560$	1.21034	+	3.06459i	0.0511461	+	0.129503i
$561$	24.4429	+	2.10247i	1.03198	+	0.0887661i
$562$	−3.88835	+	6.73483i	−0.164020	+	0.284091i
$563$	−10.6637	−	18.4701i	−0.449422	−	0.778421i	0.548927	−	0.835870i	$-0.315037\pi$
$563$	−10.6637	−	18.4701i	−0.449422	−	0.778421i	−0.998348	+	0.0574493i	$0.981703\pi$
$564$	−31.8211	+	14.8951i	−1.33991	+	0.627196i
$565$	0.405504	+	1.51336i	0.0170597	+	0.0636676i
$566$	−1.47935	+	1.47935i	−0.0621815	+	0.0621815i
$567$	17.3826	+	16.2741i	0.729999	+	0.683449i
$568$	18.4716			0.775052
$569$	18.5499	−	32.1294i	0.777654	−	1.34694i	−0.155637	−	0.987814i	$-0.549743\pi$
$569$	18.5499	−	32.1294i	0.777654	−	1.34694i	0.933291	−	0.359122i	$-0.116924\pi$
$570$	−1.94005	+	0.908117i	−0.0812598	+	0.0380368i
$571$	14.6991	−	8.48652i	0.615138	−	0.355150i	−0.159836	−	0.987144i	$-0.551096\pi$
$571$	14.6991	−	8.48652i	0.615138	−	0.355150i	0.774974	+	0.631994i	$0.217763\pi$
$572$	18.8821	−	23.1621i	0.789498	−	0.968457i
$573$	−11.1797	+	9.40881i	−0.467041	+	0.393059i
$574$	−2.84190	+	0.326364i	−0.118619	+	0.0136222i
$575$		−	0.872466i		−	0.0363844i
$576$	1.20207	−	1.44111i	0.0500862	−	0.0600462i
$577$	5.20910	+	1.39578i	0.216858	+	0.0581069i	0.365612	−	0.930767i	$-0.380860\pi$
$577$	5.20910	+	1.39578i	0.216858	+	0.0581069i	−0.148754	+	0.988874i	$0.547526\pi$
$578$	−1.41685	+	5.28775i	−0.0589332	+	0.219942i
$579$	−1.19370	−	0.833240i	−0.0496085	−	0.0346283i
$580$	−4.60465	−	4.60465i	−0.191198	−	0.191198i
$581$	22.5285	+	3.34635i	0.934640	+	0.138830i
$582$	2.05274	+	2.43910i	0.0850886	+	0.101104i
$583$	−66.1407	+	17.7223i	−2.73927	+	0.733985i
$584$	−2.02459	−	3.50669i	−0.0837780	−	0.145108i
$585$	6.69721	−	1.29940i	0.276895	−	0.0537237i
$586$	4.90259	−	8.49154i	0.202524	−	0.350782i
$587$	−7.92659	−	7.92659i	−0.327165	−	0.327165i	0.524342	−	0.851508i	$-0.324311\pi$
$587$	−7.92659	−	7.92659i	−0.327165	−	0.327165i	−0.851508	+	0.524342i	$0.824311\pi$
$588$	19.7548	+	2.36049i	0.814676	+	0.0973448i
$589$		−	15.7844i		−	0.650385i
$590$	−1.81214	+	0.485562i	−0.0746047	+	0.0199903i
$591$	16.4489	−	7.69955i	0.676617	−	0.316717i
$592$	2.84052	−	10.6010i	0.116745	−	0.435696i
$593$	3.01511	+	11.2525i	0.123816	+	0.462087i	0.999795	−	0.0202627i	$-0.00645025\pi$
$593$	3.01511	+	11.2525i	0.123816	+	0.462087i	−0.875979	+	0.482349i	$0.839784\pi$
$594$	−13.5848	+	7.92286i	−0.557392	+	0.325079i
$595$	4.62874	+	0.687546i	0.189760	+	0.0281866i
$596$	−17.7391	+	17.7391i	−0.726622	+	0.726622i
$597$	−0.0322679	−	0.181448i	−0.00132064	−	0.00742618i
$598$	−0.145528	−	0.382851i	−0.00595109	−	0.0156560i
$599$	17.5234	−	10.1171i	0.715985	−	0.413374i	−0.0972879	−	0.995256i	$-0.531017\pi$
$599$	17.5234	−	10.1171i	0.715985	−	0.413374i	0.813273	+	0.581882i	$0.197683\pi$
$600$	14.2604	+	9.95420i	0.582179	+	0.406378i
$601$	−33.6018			−1.37065			−0.685323	−	0.728239i	$-0.740339\pi$
$601$	−33.6018			−1.37065			−0.685323	+	0.728239i	$0.740339\pi$
$602$	−1.39034	−	1.10390i	−0.0566661	−	0.0449917i
$603$	−14.5775	−	20.6898i	−0.593642	−	0.842554i
$604$	2.28124	+	8.51371i	0.0928224	+	0.346418i
$605$	−8.84034	−	2.36876i	−0.359411	−	0.0963039i
$606$	1.64585	−	0.770404i	0.0668580	−	0.0312955i
$607$	−9.48921	+	16.4358i	−0.385155	+	0.667108i	−0.991791	−	0.127872i	$-0.959185\pi$
$607$	−9.48921	+	16.4358i	−0.385155	+	0.667108i	0.606636	+	0.794980i	$0.292519\pi$
$608$	18.1507			0.736108
$609$	−27.6271	+	8.25434i	−1.11951	+	0.334483i
$610$			2.53180i			0.102509i
$611$	34.5463	+	28.1626i	1.39760	+	1.13934i
$612$	−4.75957	−	12.9588i	−0.192394	−	0.523828i
$613$	−35.1615	−	9.42150i	−1.42016	−	0.380531i	−0.534620	−	0.845093i	$-0.679545\pi$
$613$	−35.1615	−	9.42150i	−1.42016	−	0.380531i	−0.885541	+	0.464562i	$0.846212\pi$
$614$	−0.897384	−	0.518105i	−0.0362155	−	0.0209090i
$615$	−1.50810	+	1.26920i	−0.0608123	+	0.0511793i
$616$	−11.6016	+	26.7470i	−0.467440	+	1.07767i
$617$	−0.570917	−	0.570917i	−0.0229843	−	0.0229843i	0.695521	−	0.718506i	$-0.255174\pi$
$617$	−0.570917	−	0.570917i	−0.0229843	−	0.0229843i	−0.718506	+	0.695521i	$0.755174\pi$
$618$	9.83398	−	14.0882i	0.395581	−	0.566710i
$619$	−5.28324	+	19.7173i	−0.212351	+	0.792507i	0.774731	+	0.632291i	$0.217885\pi$
$619$	−5.28324	+	19.7173i	−0.212351	+	0.792507i	−0.987082	+	0.160215i	$0.948781\pi$
$620$	4.32325	−	2.49603i	0.173626	−	0.100243i
$621$	−0.00432123	−	0.985053i	−0.000173405	−	0.0395288i
$622$	−12.3271	−	12.3271i	−0.494273	−	0.494273i
$623$	−14.2367	−	11.3036i	−0.570381	−	0.452871i
$624$	−11.9595	−	3.00482i	−0.478764	−	0.120289i
$625$	9.59572	−	16.6203i	0.383829	−	0.664811i
$626$	−1.20042	+	4.48001i	−0.0479782	+	0.179057i
$627$	26.9158	+	9.75202i	1.07492	+	0.389458i
$628$	−12.5637	−	7.25366i	−0.501347	−	0.289453i
$629$	−11.0215	−	11.0215i	−0.439456	−	0.439456i
$630$	−2.67940	+	1.34870i	−0.106750	+	0.0537334i
$631$	11.9196	+	11.9196i	0.474513	+	0.474513i	0.903371	−	0.428859i	$-0.141084\pi$
$631$	11.9196	+	11.9196i	0.474513	+	0.474513i	−0.428859	+	0.903371i	$0.641084\pi$
$632$	5.44370	+	20.3161i	0.216539	+	0.808133i
$633$	−11.3793	+	31.4071i	−0.452285	+	1.24832i
$634$	−1.20044	+	0.693076i	−0.0476757	+	0.0275256i
$635$	2.94890	+	11.0054i	0.117024	+	0.436738i
$636$	24.8106	+	29.4805i	0.983805	+	1.16898i
$637$	−8.18153	−	23.8760i	−0.324164	−	0.946001i
$638$		−	19.0432i		−	0.753927i
$639$	−2.28773	−	25.2966i	−0.0905011	−	1.00072i
$640$	3.61647	+	6.26390i	0.142953	+	0.247603i
$641$	0.831244	+	1.43976i	0.0328322	+	0.0568670i	0.881975	−	0.471297i	$-0.156214\pi$
$641$	0.831244	+	1.43976i	0.0328322	+	0.0568670i	−0.849142	+	0.528164i	$0.822881\pi$
$642$	8.41659	−	12.0576i	0.332176	−	0.475876i
$643$	19.7206	−	19.7206i	0.777706	−	0.777706i	−0.201734	−	0.979440i	$-0.564658\pi$
$643$	19.7206	−	19.7206i	0.777706	−	0.777706i	0.979440	+	0.201734i	$0.0646577\pi$
$644$	−0.490157	−	0.661174i	−0.0193149	−	0.0260539i
$645$	−1.21877	−	0.104833i	−0.0479891	−	0.00412780i
$646$	2.74946	−	4.76220i	0.108176	−	0.187366i
$647$	7.28323	+	12.6149i	0.286333	+	0.495944i	0.972932	−	0.231093i	$-0.0742301\pi$
$647$	7.28323	+	12.6149i	0.286333	+	0.495944i	−0.686598	+	0.727037i	$0.740897\pi$
$648$	16.1499	+	11.1681i	0.634429	+	0.438724i
$649$	21.7138	+	12.5365i	0.852342	+	0.492100i
$650$	1.58755	−	9.81552i	0.0622687	−	0.384996i
$651$	−0.630653	−	22.0950i	−0.0247172	−	0.865973i
$652$	−18.8776	+	18.8776i	−0.739305	+	0.739305i
$653$	2.58378	+	1.49174i	0.101111	+	0.0583765i	0.549703	−	0.835360i	$-0.314741\pi$
$653$	2.58378	+	1.49174i	0.101111	+	0.0583765i	−0.448592	+	0.893737i	$0.648074\pi$
$654$	0.821235	−	2.26663i	0.0321128	−	0.0886324i
$655$	−4.72825	−	1.26693i	−0.184748	−	0.0495031i
$656$	3.44144	−	0.922131i	0.134366	−	0.0360032i
$657$	−4.55160	+	3.20694i	−0.177575	+	0.125115i
$658$	−17.9796	−	7.79866i	−0.700916	−	0.304023i
$659$			23.3405i			0.909217i	0.890691	+	0.454609i	$0.150221\pi$
$659$			23.3405i			0.909217i	−0.890691	+	0.454609i	$0.849779\pi$
$660$	1.58526	+	8.91420i	0.0617061	+	0.346985i
$661$	−3.28717	+	12.2679i	−0.127856	+	0.477165i	−0.999925	−	0.0122171i	$-0.996111\pi$
$661$	−3.28717	+	12.2679i	−0.127856	+	0.477165i	0.872069	+	0.489382i	$0.162778\pi$
$662$	−6.35500	−	11.0072i	−0.246994	−	0.427806i
$663$	−12.1883	+	12.5758i	−0.473354	+	0.488403i
$664$	18.7810			0.728844
$665$	5.00964	+	2.17294i	0.194266	+	0.0842629i
$666$	9.84475	+	1.70622i	0.381476	+	0.0661148i
$667$	1.03301	+	0.596410i	0.0399984	+	0.0230931i
$668$	0.0205455	−	0.0766769i	0.000794929	−	0.00296672i
$669$	20.3417	+	43.4568i	0.786454	+	1.68014i
$670$	3.07974	−	0.825213i	0.118981	−	0.0318808i
$671$	23.9260	−	23.9260i	0.923655	−	0.923655i
$672$	25.4074	−	0.725196i	0.980111	−	0.0279751i
$673$			22.2908i			0.859249i	0.903008	+	0.429624i	$0.141354\pi$
$673$			22.2908i			0.859249i	−0.903008	+	0.429624i	$0.858646\pi$
$674$	2.17438	+	8.11491i	0.0837541	+	0.312575i
$675$	11.8659	−	20.7622i	0.456720	−	0.799138i
$676$	4.29866	+	20.8946i	0.165333	+	0.803640i
$677$	−13.4234	−	7.75003i	−0.515905	−	0.297858i	0.219353	−	0.975646i	$-0.429605\pi$
$677$	−13.4234	−	7.75003i	−0.515905	−	0.297858i	−0.735258	+	0.677788i	$0.762939\pi$
$678$	2.56872	+	0.220949i	0.0986510	+	0.00848550i
$679$	1.19403	−	8.03853i	0.0458227	−	0.308491i
$680$	3.85877			0.147977
$681$	−34.4805	−	24.0684i	−1.32130	−	0.922305i
$682$	14.1011	+	3.77837i	0.539958	+	0.144681i
$683$	−1.28580	−	0.344528i	−0.0491996	−	0.0131830i	0.234135	−	0.972204i	$-0.424774\pi$
$683$	−1.28580	−	0.344528i	−0.0491996	−	0.0131830i	−0.283335	+	0.959021i	$0.591441\pi$
$684$	−1.45096	−	16.0440i	−0.0554788	−	0.613457i
$685$	−11.1374			−0.425538
$686$	6.31023	+	9.12896i	0.240926	+	0.348545i
$687$	−2.05004	+	23.8334i	−0.0782139	+	0.909302i
$688$	1.91488	+	1.10556i	0.0730042	+	0.0421490i
$689$	20.0272	−	44.5889i	0.762977	−	1.69870i
$690$	0.116672	+	0.0422720i	0.00444162	+	0.00160927i
$691$	0.779781	+	2.91018i	0.0296643	+	0.110709i	0.979171	−	0.203039i	$-0.0650820\pi$
$691$	0.779781	+	2.91018i	0.0296643	+	0.110709i	−0.949506	+	0.313748i	$0.898415\pi$
$692$			19.9668i			0.759026i
$693$	38.0665	+	12.5755i	1.44603	+	0.477703i
$694$	7.74218	−	7.74218i	0.293889	−	0.293889i
$695$	5.61537	−	1.50463i	0.213003	−	0.0570740i
$696$	−21.5342	+	10.0799i	−0.816251	+	0.382078i
$697$	1.30963	−	4.88759i	0.0496056	−	0.185131i
$698$	0.729159	+	0.420980i	0.0275991	+	0.0159343i
$699$	19.7091	+	23.4188i	0.745467	+	0.885780i
$700$	−2.27959	−	19.8502i	−0.0861605	−	0.750265i
$701$	3.87616			0.146401			0.0732003	−	0.997317i	$-0.476679\pi$
$701$	3.87616			0.146401			0.0732003	+	0.997317i	$0.476679\pi$
$702$	1.74380	−	11.0900i	0.0658153	−	0.418566i
$703$	−9.09419	−	15.7516i	−0.342994	−	0.594083i
$704$	0.817748	−	3.05188i	0.0308200	−	0.115022i
$705$	−13.2956	+	2.36442i	−0.500739	+	0.0890491i
$706$		−	18.8844i		−	0.710724i
$707$	−4.24994	−	1.84342i	−0.159836	−	0.0693289i
$708$	1.20912	−	14.0571i	0.0454416	−	0.528296i
$709$	13.8220	−	3.70360i	0.519098	−	0.139092i	0.0102484	−	0.999947i	$-0.496738\pi$
$709$	13.8220	−	3.70360i	0.519098	−	0.139092i	0.508849	+	0.860856i	$0.330071\pi$
$710$	3.09072	+	0.828157i	0.115993	+	0.0310802i
$711$	27.1484	−	9.97122i	1.01814	−	0.373950i
$712$	−12.9818	−	7.49504i	−0.486513	−	0.280888i
$713$	−0.646590	+	0.646590i	−0.0242150	+	0.0242150i
$714$	3.65842	−	6.77598i	0.136913	−	0.253585i
$715$	9.31424	−	6.72076i	0.348333	−	0.251342i
$716$	−7.56213	−	4.36600i	−0.282610	−	0.163165i
$717$	−22.6342	+	10.5948i	−0.845288	+	0.395670i
$718$	−7.13629	−	12.3604i	−0.266324	−	0.461287i
$719$	−16.8158	+	29.1257i	−0.627122	+	1.08621i	0.361005	+	0.932564i	$0.382434\pi$
$719$	−16.8158	+	29.1257i	−0.627122	+	1.08621i	−0.988126	+	0.153643i	$0.950899\pi$
$720$	3.05416	−	2.15189i	0.113822	−	0.0801961i
$721$	−43.5119	+	4.99691i	−1.62047	+	0.186094i
$722$	−3.51314	+	3.51314i	−0.130745	+	0.130745i
$723$	24.0114	+	16.7607i	0.892994	+	0.623337i
$724$	−9.11158	−	15.7817i	−0.338629	−	0.586523i
$725$	14.4787	+	25.0778i	0.537726	+	0.931368i
$726$	−8.62037	+	12.3496i	−0.319932	+	0.458335i
$727$			45.9430i			1.70393i	0.523599	+	0.851965i	$0.324589\pi$
$727$			45.9430i			1.70393i	−0.523599	+	0.851965i	$0.675411\pi$
$728$	−9.56606	−	18.4834i	−0.354542	−	0.685040i
$729$	13.2943	−	23.5002i	0.492383	−	0.870379i
$730$	−0.181541	−	0.677519i	−0.00671912	−	0.0250761i
$731$	2.71955	−	1.57013i	0.100586	−	0.0580734i
$732$	−17.9016	−	6.48602i	−0.661662	−	0.239730i
$733$	−4.49530	−	16.7767i	−0.166038	−	0.619661i	−0.997906	−	0.0646871i	$-0.979395\pi$
$733$	−4.49530	−	16.7767i	−0.166038	−	0.619661i	0.831868	−	0.554973i	$-0.187272\pi$
$734$	−7.18014	−	7.18014i	−0.265024	−	0.265024i
$735$	7.09932	+	2.84153i	0.261862	+	0.104811i
$736$	−0.743522	−	0.743522i	−0.0274066	−	0.0274066i
$737$	−36.9027	−	21.3058i	−1.35933	−	0.784808i
$738$	1.11828	+	3.04472i	0.0411646	+	0.112078i
$739$	0.0462618	−	0.172651i	0.00170177	−	0.00635108i	−0.965070	−	0.261993i	$-0.915620\pi$
$739$	0.0462618	−	0.172651i	0.00170177	−	0.00635108i	0.966771	+	0.255642i	$0.0822869\pi$
$740$	2.87618	−	4.98169i	0.105730	−	0.183130i
$741$	−17.5362	+	10.4937i	−0.644208	+	0.385496i
$742$	−3.15785	+	21.2595i	−0.115928	+	0.780460i
$743$	11.8499	+	11.8499i	0.434731	+	0.434731i	0.890234	−	0.455503i	$-0.150541\pi$
$743$	11.8499	+	11.8499i	0.434731	+	0.434731i	−0.455503	+	0.890234i	$0.650541\pi$
$744$	−3.19135	−	17.9456i	−0.117001	−	0.657917i
$745$	−8.35043	+	4.82112i	−0.305936	+	0.176632i
$746$	−4.16031	+	15.5265i	−0.152320	+	0.568465i
$747$	−2.32604	−	25.7202i	−0.0851055	−	0.941054i
$748$	−16.4350	−	16.4350i	−0.600925	−	0.600925i
$749$	−37.2404	+	4.27669i	−1.36073	+	0.156267i
$750$	4.04727	+	4.80905i	0.147786	+	0.175602i
$751$	−8.35311	−	4.82267i	−0.304809	−	0.175982i	0.339792	−	0.940501i	$-0.389643\pi$
$751$	−8.35311	−	4.82267i	−0.304809	−	0.175982i	−0.644601	+	0.764519i	$0.722977\pi$
$752$	23.5776	+	6.31759i	0.859786	+	0.230379i
$753$	14.5624	−	40.1926i	0.530683	−	1.46470i
$754$	10.5365	+	8.58948i	0.383716	+	0.312810i
$755$			3.38771i			0.123292i
$756$	−2.67208	−	22.4004i	−0.0971825	−	0.814695i
$757$	−16.1069			−0.585414			−0.292707	−	0.956202i	$-0.594556\pi$
$757$	−16.1069			−0.585414			−0.292707	+	0.956202i	$0.594556\pi$
$758$	−0.256159	+	0.443680i	−0.00930410	+	0.0161152i
$759$	−0.703096	−	1.50206i	−0.0255208	−	0.0545212i
$760$	4.34942	+	1.16542i	0.157770	+	0.0422743i
$761$	−4.47507	−	16.7012i	−0.162221	−	0.605417i	−0.998378	−	0.0569274i	$-0.981870\pi$
$761$	−4.47507	−	16.7012i	−0.162221	−	0.605417i	0.836157	−	0.548490i	$-0.184797\pi$
$762$	18.6802	+	1.60678i	0.676712	+	0.0582076i
$763$	−5.71605	+	2.25751i	−0.206935	+	0.0817273i
$764$	13.8434			0.500838
$765$	−0.477913	−	5.28452i	−0.0172790	−	0.191062i
$766$	16.6325	−	9.60278i	0.600957	−	0.346963i
$767$	−16.7304	+	6.35951i	−0.604101	+	0.229629i
$768$	9.58500	−	1.70455i	0.345869	−	0.0615076i
$769$	−15.1816	+	15.1816i	−0.547462	+	0.547462i	−0.925706	−	0.378244i	$-0.876528\pi$
$769$	−15.1816	+	15.1816i	−0.547462	+	0.547462i	0.378244	+	0.925706i	$0.376528\pi$
$770$	−3.14038	+	3.95525i	−0.113172	+	0.142537i
$771$	5.20967	+	6.19024i	0.187622	+	0.222936i
$772$	0.356957	+	1.33218i	0.0128472	+	0.0479463i
$773$	0.152295	−	0.568374i	0.00547769	−	0.0204430i	−0.963133	−	0.269026i	$-0.913298\pi$
$773$	0.152295	−	0.568374i	0.00547769	−	0.0204430i	0.968611	+	0.248583i	$0.0799649\pi$
$774$	−0.845386	+	1.82687i	−0.0303868	+	0.0656654i
$775$	−21.4423	+	5.74546i	−0.770232	+	0.206383i
$776$		−	6.70136i		−	0.240565i
$777$	−13.3594	−	21.6858i	−0.479266	−	0.777972i
$778$	11.5397	+	11.5397i	0.413718	+	0.413718i
$779$	2.95229	−	5.11352i	0.105777	−	0.183211i
$780$	−5.64721	−	3.14366i	−0.202202	−	0.112561i
$781$	−21.3818	−	37.0343i	−0.765100	−	1.32519i
$782$	−0.307706	+	0.0824496i	−0.0110035	+	0.00294839i
$783$	16.4713	+	28.2423i	0.588636	+	1.00930i
$784$	−9.44463	−	10.0919i	−0.337308	−	0.360426i
$785$	−3.94279	−	3.94279i	−0.140724	−	0.140724i
$786$	−4.61060	+	6.60515i	−0.164455	+	0.235598i
$787$	7.70336	−	28.7493i	0.274595	−	1.02480i	−0.681517	−	0.731802i	$-0.738679\pi$
$787$	7.70336	−	28.7493i	0.274595	−	1.02480i	0.956112	−	0.293001i	$-0.0946539\pi$
$788$	−16.6201	−	4.45335i	−0.592067	−	0.158644i
$789$	−0.718365	−	4.03950i	−0.0255745	−	0.143810i
$790$			3.64342i			0.129627i
$791$	−3.91412	−	5.27977i	−0.139170	−	0.187727i
$792$	32.5728	+	5.64530i	1.15742	+	0.200597i
$793$	2.44623	+	24.0300i	0.0868683	+	0.853331i
$794$	−14.9090	+	8.60773i	−0.529102	+	0.305477i
$795$	6.27847	+	13.4130i	0.222674	+	0.475709i
$796$	−0.0873004	+	0.151209i	−0.00309428	+	0.00535945i
$797$	−7.91239			−0.280271			−0.140136	−	0.990132i	$-0.544754\pi$
$797$	−7.91239			−0.280271			−0.140136	+	0.990132i	$0.544754\pi$
$798$	6.17007	−	6.53264i	0.218418	−	0.231253i
$799$	24.5129	−	24.5129i	0.867204	−	0.867204i
$800$	−6.60678	−	24.6569i	−0.233585	−	0.871751i
$801$	−8.65652	+	18.7066i	−0.305863	+	0.660965i
$802$	1.09328	+	1.89361i	0.0386049	+	0.0668657i
$803$	−4.68711	+	8.11831i	−0.165405	+	0.286489i
$804$	−2.05491	+	23.8900i	−0.0724710	+	0.842535i
$805$	−0.116202	−	0.294226i	−0.00409559	−	0.0103701i
$806$	−8.45088	+	6.09780i	−0.297669	+	0.214786i
$807$	−5.91910	−	33.2842i	−0.208362	−	1.17166i
$808$	−3.68984	−	0.988690i	−0.129808	−	0.0347820i
$809$	−24.2075	+	13.9762i	−0.851092	+	0.491378i	−0.861019	−	0.508573i	$-0.830173\pi$
$809$	−24.2075	+	13.9762i	−0.851092	+	0.491378i	0.00992729	+	0.999951i	$0.496840\pi$
$810$	2.20154	+	2.59274i	0.0773543	+	0.0910997i
$811$	−0.497728	+	0.497728i	−0.0174776	+	0.0174776i	−0.715792	−	0.698314i	$-0.753934\pi$
$811$	−0.497728	+	0.497728i	−0.0174776	+	0.0174776i	0.698314	+	0.715792i	$0.253934\pi$
$812$	25.0612	+	10.8703i	0.879475	+	0.381473i
$813$	2.17653	−	25.3039i	0.0763341	−	0.887447i
$814$	16.2487	−	4.35382i	0.569516	−	0.152601i
$815$	−8.88638	+	5.13056i	−0.311276	+	0.179716i
$816$	−3.26712	+	9.01735i	−0.114372	+	0.315670i
$817$	3.53955	−	0.948419i	0.123833	−	0.0331810i
$818$	4.28499			0.149821
$819$	−24.1279	+	15.3897i	−0.843097	+	0.537761i
$820$	1.86742			0.0652130
$821$	−5.61229	+	1.50381i	−0.195870	+	0.0524833i	−0.355420	−	0.934707i	$-0.615662\pi$
$821$	−5.61229	+	1.50381i	−0.195870	+	0.0524833i	0.159550	+	0.987190i	$0.448996\pi$
$822$	−6.24316	+	17.2313i	−0.217755	+	0.601010i
$823$	−2.46135	+	1.42106i	−0.0857972	+	0.0495350i	−0.542285	−	0.840195i	$-0.682441\pi$
$823$	−2.46135	+	1.42106i	−0.0857972	+	0.0495350i	0.456488	+	0.889730i	$0.349107\pi$
$824$	−34.8854	+	9.34751i	−1.21529	+	0.325636i
$825$	3.45038	−	40.1136i	0.120127	−	1.39658i
$826$	6.32214	−	4.68688i	0.219975	−	0.163077i
$827$	20.8528	−	20.8528i	0.725124	−	0.725124i	−0.244520	−	0.969644i	$-0.578630\pi$
$827$	20.8528	−	20.8528i	0.725124	−	0.725124i	0.969644	+	0.244520i	$0.0786304\pi$
$828$	−0.597786	+	0.716660i	−0.0207745	+	0.0249056i
$829$	44.3746	−	25.6197i	1.54120	−	0.889809i	0.542431	−	0.840100i	$-0.317504\pi$
$829$	44.3746	−	25.6197i	1.54120	−	0.889809i	0.998764	−	0.0497092i	$-0.0158295\pi$
$830$	3.14249	+	0.842027i	0.109077	+	0.0292272i
$831$	−3.51652	−	19.7740i	−0.121987	−	0.685953i
$832$	1.31974	+	1.82901i	0.0457537	+	0.0634096i
$833$	−19.1192	+	4.44999i	−0.662442	+	0.154183i
$834$	0.819838	−	9.53130i	0.0283887	−	0.330042i
$835$	0.0152554	−	0.0264231i	0.000527933	−	0.000914407i
$836$	−13.5611	−	23.4885i	−0.469020	−	0.812366i
$837$	−24.1809	+	6.59308i	−0.835814	+	0.227890i
$838$	−0.165642	−	0.618183i	−0.00572199	−	0.0213548i
$839$	14.0797	−	14.0797i	0.486086	−	0.486086i	−0.420983	−	0.907069i	$-0.638315\pi$
$839$	14.0797	−	14.0797i	0.486086	−	0.486086i	0.907069	+	0.420983i	$0.138315\pi$
$840$	6.13489	+	1.45758i	0.211674	+	0.0502914i
$841$	−10.5900			−0.365173
$842$	−5.57182	+	9.65068i	−0.192018	+	0.332584i
$843$	−9.52975	−	20.3588i	−0.328222	−	0.701196i
$844$	27.4078	−	15.8239i	0.943416	−	0.544681i
$845$	−0.482653	+	8.18492i	−0.0166038	+	0.281570i
$846$	−3.79481	+	21.8957i	−0.130468	+	0.752789i
$847$	38.1421	−	4.38024i	1.31058	−	0.150507i
$848$		−	26.7691i		−	0.919255i
$849$	−1.05881	−	5.95391i	−0.0363384	−	0.204338i
$850$	−7.47000	−	2.00158i	−0.256219	−	0.0686537i
$851$	−0.272713	+	1.01778i	−0.00934848	+	0.0348890i
$852$	−13.7735	+	19.7320i	−0.471874	+	0.676008i
$853$	24.4412	+	24.4412i	0.836852	+	0.836852i	0.988443	−	0.151592i	$-0.0484399\pi$
$853$	24.4412	+	24.4412i	0.836852	+	0.836852i	−0.151592	+	0.988443i	$0.548440\pi$
$854$	−3.90131	−	9.87819i	−0.133500	−	0.338025i
$855$	1.05735	−	6.10079i	0.0361605	−	0.208643i
$856$	−29.8573	+	8.00023i	−1.02050	+	0.273442i
$857$	5.14536	+	8.91203i	0.175762	+	0.304429i	0.940425	−	0.340002i	$-0.110428\pi$
$857$	5.14536	+	8.91203i	0.175762	+	0.304429i	−0.764663	+	0.644431i	$0.777094\pi$
$858$	−5.17690	−	18.1780i	−0.176736	−	0.620585i
$859$	−11.4540	+	19.8389i	−0.390805	+	0.676894i	−0.992556	−	0.121790i	$-0.961137\pi$
$859$	−11.4540	+	19.8389i	−0.390805	+	0.676894i	0.601751	+	0.798684i	$0.294470\pi$
$860$	0.819485	+	0.819485i	0.0279442	+	0.0279442i
$861$	3.92832	−	7.27587i	0.133877	−	0.247961i
$862$			10.5821i			0.360427i
$863$	−15.4623	+	4.14311i	−0.526343	+	0.141033i	−0.512199	−	0.858867i	$-0.671169\pi$
$863$	−15.4623	+	4.14311i	−0.526343	+	0.141033i	−0.0141440	+	0.999900i	$0.504502\pi$
$864$	−7.58147	−	27.8060i	−0.257927	−	0.945978i
$865$	−1.98627	+	7.41285i	−0.0675351	+	0.252044i
$866$	−3.50487	−	13.0804i	−0.119100	−	0.444489i
$867$	−10.1889	−	12.1067i	−0.346035	−	0.411165i
$868$	−13.0216	+	16.4005i	−0.441983	+	0.556669i
$869$	34.4311	−	34.4311i	1.16800	−	1.16800i
$870$	−4.05508	+	0.721136i	−0.137480	+	0.0244488i
$871$	28.4334	−	10.8080i	0.963429	−	0.366215i
$872$	−4.38883	+	2.53389i	−0.148624	+	0.0858084i
$873$	−9.17739	+	0.829970i	−0.310608	+	0.0280902i
$874$	−0.371733			−0.0125740
$875$	2.35421	−	15.8492i	0.0795868	−	0.535800i
$876$	5.25562	+	0.452064i	0.177571	+	0.0152738i
$877$	7.08345	+	26.4358i	0.239191	+	0.892673i	0.976215	+	0.216806i	$0.0695640\pi$
$877$	7.08345	+	26.4358i	0.239191	+	0.892673i	−0.737024	+	0.675867i	$0.763769\pi$
$878$	4.72982	+	1.26735i	0.159624	+	0.0427710i
$879$	12.0155	+	25.6692i	0.405273	+	0.865802i
$880$	3.14509	−	5.44746i	0.106021	−	0.183634i
$881$	−55.4617			−1.86855			−0.934276	−	0.356552i	$-0.883952\pi$
$881$	−55.4617			−1.86855			−0.934276	+	0.356552i	$0.883952\pi$
$882$	8.37587	−	9.39092i	0.282030	−	0.316209i
$883$			42.8192i			1.44098i	0.693465	+	0.720490i	$0.256083\pi$
$883$			42.8192i			1.44098i	−0.693465	+	0.720490i	$0.743917\pi$
$884$	16.5065	−	1.68034i	0.555173	−	0.0565160i
$885$	1.84727	−	5.09851i	0.0620952	−	0.171385i
$886$	10.4254	+	2.79348i	0.350249	+	0.0938489i
$887$	47.3202	+	27.3203i	1.58886	+	0.917326i	0.993496	+	0.113867i	$0.0363239\pi$
$887$	47.3202	+	27.3203i	1.58886	+	0.917326i	0.595360	+	0.803459i	$0.297009\pi$
$888$	−13.5241	−	16.0696i	−0.453838	−	0.539260i
$889$	−28.4642	−	38.3954i	−0.954659	−	1.28774i
$890$	−1.83612	−	1.83612i	−0.0615467	−	0.0615467i
$891$	3.69696	−	45.3071i	0.123853	−	1.51784i
$892$	11.7654	−	43.9092i	0.393936	−	1.47019i
$893$	35.0331	−	20.2264i	1.17234	−	0.676850i
$894$	2.77813	+	15.6219i	0.0929146	+	0.522476i
$895$	−2.37318	−	2.37318i	−0.0793266	−	0.0793266i
$896$	−23.7624	−	18.8669i	−0.793847	−	0.630298i
$897$	1.14821	+	0.288487i	0.0383377	+	0.00963231i
$898$	0.754984	−	1.30767i	0.0251942	−	0.0436376i
$899$	7.85509	−	29.3156i	0.261982	−	0.977729i
$900$	−21.2668	+	7.81100i	−0.708894	+	0.260367i
$901$	−32.9245	−	19.0090i	−1.09687	−	0.633280i
$902$	3.86149	+	3.86149i	0.128573	+	0.128573i
$903$	4.91677	−	1.46902i	0.163620	−	0.0488859i
$904$	−3.83226	−	3.83226i	−0.127459	−	0.127459i
$905$	−1.81281	−	6.76549i	−0.0602597	−	0.224892i
$906$	5.24132	+	1.89901i	0.174131	+	0.0630904i
$907$	−39.4627	+	22.7838i	−1.31034	+	0.756523i	−0.982152	−	0.188091i	$-0.939770\pi$
$907$	−39.4627	+	22.7838i	−1.31034	+	0.756523i	−0.328184	+	0.944614i	$0.606437\pi$
$908$	10.3108	+	38.4806i	0.342177	+	1.27702i
$909$	−0.897003	+	5.17562i	−0.0297517	+	0.171665i
$910$	−0.771936	−	3.52158i	−0.0255894	−	0.116739i
$911$			1.23590i			0.0409473i	0.999790	+	0.0204737i	$0.00651742\pi$
$911$			1.23590i			0.0409473i	−0.999790	+	0.0204737i	$0.993483\pi$
$912$	−6.40595	+	9.17718i	−0.212122	+	0.303887i
$913$	−21.7399	−	37.6546i	−0.719485	−	1.24618i
$914$	−0.664547	−	1.15103i	−0.0219813	−	0.0380727i
$915$	−6.00089	−	4.18880i	−0.198383	−	0.138478i
$916$	16.0252	−	16.0252i	0.529489	−	0.529489i
$917$	20.4003	−	2.34277i	0.673676	−	0.0773650i
$918$	−8.44388	−	2.22288i	−0.278690	−	0.0733658i
$919$	1.23203	−	2.13394i	0.0406410	−	0.0703922i	−0.844989	−	0.534783i	$-0.820393\pi$
$919$	1.23203	−	2.13394i	0.0406410	−	0.0703922i	0.885630	+	0.464391i	$0.153727\pi$
$920$	−0.130429	−	0.225909i	−0.00430011	−	0.00744800i
$921$	2.71272	−	1.26980i	0.0893872	−	0.0418412i
$922$	−3.38045	−	1.95171i	−0.111329	−	0.0642760i
$923$	30.1351	+	4.87401i	0.991910	+	0.160430i
$924$	−19.9213	−	32.3374i	−0.655362	−	1.06382i
$925$	−18.0875	+	18.0875i	−0.594714	+	0.594714i
$926$	7.78239	+	4.49317i	0.255745	+	0.147655i
$927$	17.1218	+	46.6172i	0.562355	+	1.53111i
$928$	33.7104	+	9.03267i	1.10660	+	0.296512i
$929$	−2.48236	+	0.665147i	−0.0814436	+	0.0218228i	−0.299311	−	0.954156i	$-0.596757\pi$
$929$	−2.48236	+	0.665147i	−0.0814436	+	0.0218228i	0.217867	+	0.975978i	$0.430090\pi$
$930$	0.270586	−	3.14579i	0.00887286	−	0.103154i
$931$	−22.8942	−	0.758557i	−0.750328	−	0.0248607i
$932$		−	28.9986i		−	0.949880i
$933$	49.6129	−	8.82291i	1.62425	−	0.288849i
$934$	−6.63955	+	24.7791i	−0.217253	+	0.810798i
$935$	−4.46671	−	7.73657i	−0.146077	−	0.253013i
$936$	−17.8156	+	15.4760i	−0.582320	+	0.505849i
$937$	−1.32480			−0.0432793			−0.0216397	−	0.999766i	$-0.506889\pi$
$937$	−1.32480			−0.0432793			−0.0216397	+	0.999766i	$0.506889\pi$
$938$	−10.7445	+	7.96535i	−0.350820	+	0.260078i
$939$	−8.63250	−	10.2573i	−0.281711	−	0.334735i
$940$	11.0798	+	6.39691i	0.361382	+	0.208644i
$941$	−11.9436	+	44.5740i	−0.389349	+	1.45307i	0.441848	+	0.897090i	$0.354323\pi$
$941$	−11.9436	+	44.5740i	−0.389349	+	1.45307i	−0.831196	+	0.555979i	$0.812343\pi$
$942$	−8.31029	+	3.88995i	−0.270764	+	0.126742i
$943$	−0.330406	+	0.0885322i	−0.0107595	+	0.00288300i
$944$	−6.93106	+	6.93106i	−0.225587	+	0.225587i
$945$	1.23632	−	8.58214i	0.0402176	−	0.279177i
$946$			3.38910i			0.110189i
$947$	12.6034	+	47.0367i	0.409557	+	1.52849i	0.795494	+	0.605962i	$0.207212\pi$
$947$	12.6034	+	47.0367i	0.409557	+	1.52849i	−0.385937	+	0.922525i	$0.626122\pi$
$948$	−25.7615	−	9.33380i	−0.836696	−	0.303148i
$949$	−2.37768	−	6.25513i	−0.0771828	−	0.203050i
$950$	−7.81531	−	4.51217i	−0.253562	−	0.146394i
$951$	0.343372	−	3.99198i	0.0111346	−	0.129449i
$952$	−15.0556	+	5.94609i	−0.487955	+	0.192714i
$953$	32.5663			1.05493			0.527463	−	0.849578i	$-0.323143\pi$
$953$	32.5663			1.05493			0.527463	+	0.849578i	$0.323143\pi$
$954$	24.2714	−	2.19502i	0.785816	−	0.0710663i
$955$	5.13949	+	1.37712i	0.166310	+	0.0445626i
$956$	22.8698	+	6.12794i	0.739661	+	0.198192i
$957$	45.1364	+	31.5066i	1.45905	+	1.01846i
$958$	−11.3969			−0.368216
$959$	43.4543	−	17.1619i	1.40321	−	0.554187i
$960$	−0.680838	−	0.0585626i	−0.0219740	−	0.00189010i
$961$	−6.69775	−	3.86695i	−0.216057	−	0.124740i
$962$	−4.92006	+	10.9541i	−0.158629	+	0.353174i
$963$	14.6540	+	39.8982i	0.472219	+	1.28570i
$964$	−7.18023	−	26.7970i	−0.231259	−	0.863072i
$965$			0.530093i			0.0170643i
$966$	−0.520352	+	0.0148523i	−0.0167420	+	0.000477864i
$967$	2.34218	−	2.34218i	0.0753193	−	0.0753193i	−0.668444	−	0.743763i	$-0.733039\pi$
$967$	2.34218	−	2.34218i	0.0753193	−	0.0753193i	0.743763	+	0.668444i	$0.233039\pi$
$968$	30.5802	−	8.19393i	0.982884	−	0.263363i
$969$	6.73849	+	14.3957i	0.216471	+	0.462458i
$970$	0.300449	−	1.12129i	0.00964683	−	0.0360024i
$971$	42.3396	+	24.4448i	1.35874	+	0.784471i	0.989454	−	0.144844i	$-0.0462681\pi$
$971$	42.3396	+	24.4448i	1.35874	+	0.784471i	0.369289	+	0.929315i	$0.379601\pi$
$972$	−23.9725	+	8.92430i	−0.768918	+	0.286247i
$973$	−19.5907	+	14.5235i	−0.628050	+	0.465601i
$974$	25.2090			0.807749
$975$	20.6383	+	20.0024i	0.660954	+	0.640589i
$976$	6.61401	+	11.4558i	0.211709	+	0.366691i
$977$	−7.05602	+	26.3334i	−0.225742	+	0.842481i	0.756364	+	0.654151i	$0.226974\pi$
$977$	−7.05602	+	26.3334i	−0.225742	+	0.842481i	−0.982106	+	0.188330i	$0.939693\pi$
$978$	2.95644	+	16.6246i	0.0945364	+	0.531596i
$979$			34.7034i			1.10913i
$980$	−3.41257	−	6.39055i	−0.109010	−	0.204139i
$981$	4.01368	+	5.69660i	0.128147	+	0.181878i
$982$	17.6368	−	4.72576i	0.562812	−	0.150805i
$983$	−16.5729	−	4.44069i	−0.528592	−	0.141636i	−0.0153541	−	0.999882i	$-0.504888\pi$
$983$	−16.5729	−	4.44069i	−0.528592	−	0.141636i	−0.513238	+	0.858246i	$0.671554\pi$
$984$	2.32264	−	6.41056i	0.0740431	−	0.204361i
$985$	−5.72734	−	3.30668i	−0.182488	−	0.105360i
$986$	7.47633	−	7.47633i	0.238095	−	0.238095i
$987$	48.2313	−	29.7126i	1.53522	−	0.945763i
$988$	19.1128	+	3.09127i	0.608059	+	0.0983464i
$989$	−0.183844	−	0.106143i	−0.00584591	−	0.00337514i
$990$	5.19707	+	2.40496i	0.165174	+	0.0764345i
$991$	17.8267	+	30.8767i	0.566283	+	0.980830i	0.996929	+	0.0783096i	$0.0249523\pi$
$991$	17.8267	+	30.8767i	0.566283	+	0.980830i	−0.430646	+	0.902521i	$0.641714\pi$
$992$	−13.3770	+	23.1697i	−0.424720	+	0.735637i
$993$	36.6036	+	3.14847i	1.16158	+	0.0999137i
$994$	−13.3351	+	1.53140i	−0.422963	+	0.0485731i
$995$	−0.0474530	+	0.0474530i	−0.00150436	+	0.00150436i
$996$	−14.0042	+	20.0625i	−0.443741	+	0.635704i
$997$	−1.77915	−	3.08158i	−0.0563463	−	0.0975946i	0.836476	−	0.548003i	$-0.184612\pi$
$997$	−1.77915	−	3.08158i	−0.0563463	−	0.0975946i	−0.892823	+	0.450408i	$0.851278\pi$
$998$	−5.43331	−	9.41077i	−0.171989	−	0.297893i
$999$	−20.3320	+	20.5112i	−0.643277	+	0.648946i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.cd.e.44.13	✓	112
3.2	odd	2	inner	273.2.cd.e.44.16	yes	112
7.4	even	3	inner	273.2.cd.e.200.16	yes	112
13.8	odd	4	inner	273.2.cd.e.86.13	yes	112
21.11	odd	6	inner	273.2.cd.e.200.13	yes	112
39.8	even	4	inner	273.2.cd.e.86.16	yes	112
91.60	odd	12	inner	273.2.cd.e.242.16	yes	112
273.242	even	12	inner	273.2.cd.e.242.13	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.cd.e.44.13	✓	112	1.1	even	1	trivial
273.2.cd.e.44.16	yes	112	3.2	odd	2	inner
273.2.cd.e.86.13	yes	112	13.8	odd	4	inner
273.2.cd.e.86.16	yes	112	39.8	even	4	inner
273.2.cd.e.200.13	yes	112	21.11	odd	6	inner
273.2.cd.e.200.16	yes	112	7.4	even	3	inner
273.2.cd.e.242.13	yes	112	273.242	even	12	inner
273.2.cd.e.242.16	yes	112	91.60	odd	12	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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.cd (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.578797 + 0.155088i) q^{2} +(0.590016 - 1.62846i) q^{3} +(-1.42110 + 0.820471i) q^{4} +(-0.609213 + 0.163238i) q^{5} +(-0.0889444 + 1.03405i) q^{6} +(2.12540 - 1.57565i) q^{7} +(1.54270 - 1.54270i) q^{8} +(-2.30376 - 1.92163i) q^{9} +O(q^{10})\)	\(q+(-0.578797 + 0.155088i) q^{2} +(0.590016 - 1.62846i) q^{3} +(-1.42110 + 0.820471i) q^{4} +(-0.609213 + 0.163238i) q^{5} +(-0.0889444 + 1.03405i) q^{6} +(2.12540 - 1.57565i) q^{7} +(1.54270 - 1.54270i) q^{8} +(-2.30376 - 1.92163i) q^{9} +(0.327294 - 0.188963i) q^{10} +(-4.87875 - 1.30726i) q^{11} +(0.497634 + 2.79829i) q^{12} +(2.92387 - 2.10974i) q^{13} +(-0.985809 + 1.24161i) q^{14} +(-0.0936184 + 1.08839i) q^{15} +(0.987288 - 1.71003i) q^{16} +(-1.40216 - 2.42862i) q^{17} +(1.63143 + 0.754949i) q^{18} +(-0.846959 - 3.16090i) q^{19} +(0.731818 - 0.731818i) q^{20} +(-1.31187 - 4.39079i) q^{21} +3.02654 q^{22} +(-0.0947877 + 0.164177i) q^{23} +(-1.60201 - 3.42244i) q^{24} +(-3.98563 + 2.30111i) q^{25} +(-1.36513 + 1.67457i) q^{26} +(-4.48856 + 2.61779i) q^{27} +(-1.72762 + 3.98298i) q^{28} -6.29206i q^{29} +(-0.114611 - 0.644476i) q^{30} +(4.65914 + 1.24841i) q^{31} +(-1.43557 + 5.35761i) q^{32} +(-5.00735 + 7.17354i) q^{33} +(1.18822 + 1.18822i) q^{34} +(-1.03761 + 1.30685i) q^{35} +(4.85052 + 0.840658i) q^{36} +(5.36873 - 1.43855i) q^{37} +(0.980435 + 1.69816i) q^{38} +(-1.71050 - 6.00618i) q^{39} +(-0.688004 + 1.19166i) q^{40} +(1.27587 + 1.27587i) q^{41} +(1.44026 + 2.33792i) q^{42} +1.11979i q^{43} +(8.00574 - 2.14513i) q^{44} +(1.71717 + 0.794622i) q^{45} +(0.0294009 - 0.109726i) q^{46} +(3.19947 + 11.9406i) q^{47} +(-2.20220 - 2.61670i) q^{48} +(2.03465 - 6.69778i) q^{49} +(1.95000 - 1.95000i) q^{50} +(-4.78220 + 0.850443i) q^{51} +(-2.42412 + 5.39709i) q^{52} +(11.7406 - 6.77845i) q^{53} +(2.19198 - 2.21129i) q^{54} +3.18559 q^{55} +(0.848096 - 5.70961i) q^{56} +(-5.64711 - 0.485739i) q^{57} +(0.975824 + 3.64182i) q^{58} +(-4.79496 - 1.28481i) q^{59} +(-0.759953 - 1.62352i) q^{60} +(-3.34959 + 5.80165i) q^{61} -2.89031 q^{62} +(-7.92424 - 0.454312i) q^{63} +0.625545i q^{64} +(-1.43687 + 1.76257i) q^{65} +(1.78571 - 4.92860i) q^{66} +(8.14904 + 2.18353i) q^{67} +(3.98522 + 2.30087i) q^{68} +(0.211430 + 0.251225i) q^{69} +(0.397890 - 0.917323i) q^{70} +(5.98679 + 5.98679i) q^{71} +(-6.51851 + 0.589510i) q^{72} +(0.480360 - 1.79273i) q^{73} +(-2.88430 + 1.66525i) q^{74} +(1.39567 + 7.84813i) q^{75} +(3.79704 + 3.79704i) q^{76} +(-12.4291 + 4.90876i) q^{77} +(1.92152 + 3.21108i) q^{78} +(-4.82027 + 8.34896i) q^{79} +(-0.322326 + 1.20294i) q^{80} +(1.61465 + 8.85398i) q^{81} +(-0.936345 - 0.540599i) q^{82} +(6.08706 + 6.08706i) q^{83} +(5.46680 + 5.16339i) q^{84} +(1.25066 + 1.25066i) q^{85} +(-0.173667 - 0.648132i) q^{86} +(-10.2464 - 3.71241i) q^{87} +(-9.54314 + 5.50973i) q^{88} +(-1.77830 - 6.63669i) q^{89} +(-1.11713 - 0.193613i) q^{90} +(2.89017 - 9.09103i) q^{91} -0.311082i q^{92} +(4.78195 - 6.85064i) q^{93} +(-3.70368 - 6.41497i) q^{94} +(1.03196 + 1.78740i) q^{95} +(7.87764 + 5.49884i) q^{96} +(2.17196 - 2.17196i) q^{97} +(-0.138901 + 4.19220i) q^{98} +(8.72741 + 12.3868i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9	\( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) \) 112 * q - 12 * q^3 - 8 * q^6 - 4 * q^7 + 8 * q^9 - 48 * q^13 - 12 * q^15 + 40 * q^16 - 26 * q^18 + 40 * q^19 - 10 * q^21 + 16 * q^22 + 32 * q^24 - 24 * q^27 - 52 * q^28 - 12 * q^31 - 44 * q^33 + 16 * q^34 - 8 * q^37 - 42 * q^39 - 160 * q^40 - 80 * q^42 + 6 * q^45 + 32 * q^46 + 72 * q^48 - 12 * q^52 + 34 * q^54 - 48 * q^55 - 24 * q^57 - 28 * q^58 + 44 * q^60 + 78 * q^63 + 4 * q^66 + 24 * q^67 - 12 * q^70 - 26 * q^72 - 40 * q^73 + 112 * q^76 + 32 * q^78 + 48 * q^79 + 128 * q^81 - 150 * q^84 + 160 * q^85 - 48 * q^87 + 24 * q^91 + 10 * q^93 - 8 * q^94 - 106 * q^96 + 56 * q^97 - 36 * q^99

Introduction

L-functions

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