LMFDB - Embedded newform 273.2.cd.e.242.16

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			242.16
Character	$\chi$	$=$	273.242
Dual form			273.2.cd.e.44.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.578797 + 0.155088i) q^{2} +(-1.70530 + 0.303261i) q^{3} +(-1.42110 - 0.820471i) q^{4} +(0.609213 + 0.163238i) q^{5} +(-1.03405 - 0.0889444i) q^{6} +(2.12540 + 1.57565i) q^{7} +(-1.54270 - 1.54270i) q^{8} +(2.81607 - 1.03430i) q^{9} +O(q^{10})$	\(q+(0.578797 + 0.155088i) q^{2} +(-1.70530 + 0.303261i) q^{3} +(-1.42110 - 0.820471i) q^{4} +(0.609213 + 0.163238i) q^{5} +(-1.03405 - 0.0889444i) q^{6} +(2.12540 + 1.57565i) q^{7} +(-1.54270 - 1.54270i) q^{8} +(2.81607 - 1.03430i) q^{9} +(0.327294 + 0.188963i) q^{10} +(4.87875 - 1.30726i) q^{11} +(2.67221 + 0.968182i) q^{12} +(2.92387 + 2.10974i) q^{13} +(0.985809 + 1.24161i) q^{14} +(-1.08839 - 0.0936184i) q^{15} +(0.987288 + 1.71003i) q^{16} +(1.40216 - 2.42862i) q^{17} +(1.79034 - 0.161911i) q^{18} +(-0.846959 + 3.16090i) q^{19} +(-0.731818 - 0.731818i) q^{20} +(-4.10227 - 2.04240i) q^{21} +3.02654 q^{22} +(0.0947877 + 0.164177i) q^{23} +(3.09860 + 2.16292i) 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} +(-0.615438 - 0.222983i) q^{30} +(4.65914 - 1.24841i) q^{31} +(1.43557 + 5.35761i) q^{32} +(-7.92327 + 3.70879i) 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} +(-5.62586 - 2.71103i) q^{39} +(-0.688004 - 1.19166i) q^{40} +(-1.27587 + 1.27587i) q^{41} +(-2.05763 - 1.81835i) q^{42} -1.11979i q^{43} +(-8.00574 - 2.14513i) q^{44} +(1.88442 - 0.170420i) 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} +(-1.65459 + 4.56673i) q^{51} +(-2.42412 - 5.39709i) q^{52} +(-11.7406 - 6.77845i) q^{53} +(-3.00395 + 0.819047i) q^{54} +3.18559 q^{55} +(-0.848096 - 5.70961i) q^{56} +(0.485739 - 5.64711i) q^{57} +(0.975824 - 3.64182i) q^{58} +(4.79496 - 1.28481i) q^{59} +(1.46990 + 1.02603i) q^{60} +(-3.34959 - 5.80165i) q^{61} +2.89031 q^{62} +(7.61496 + 2.23884i) q^{63} -0.625545i q^{64} +(1.43687 + 1.76257i) q^{65} +(-5.16115 + 0.917833i) 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} +(-5.93995 - 2.74873i) q^{72} +(0.480360 + 1.79273i) q^{73} +(2.88430 + 1.66525i) q^{74} +(7.49452 + 2.71538i) q^{75} +(3.79704 - 3.79704i) q^{76} +(12.4291 + 4.90876i) q^{77} +(-2.83578 - 2.44164i) q^{78} +(-4.82027 - 8.34896i) q^{79} +(0.322326 + 1.20294i) q^{80} +(6.86045 - 5.82531i) q^{81} +(-0.936345 + 0.540599i) q^{82} +(-6.08706 + 6.08706i) q^{83} +(4.15399 + 6.26824i) q^{84} +(1.25066 - 1.25066i) q^{85} +(0.173667 - 0.648132i) q^{86} +(1.90814 + 10.7298i) 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} +(-7.56661 + 3.54185i) q^{93} +(-3.70368 + 6.41497i) q^{94} +(-1.03196 + 1.78740i) q^{95} +(-4.07282 - 8.70095i) q^{96} +(2.17196 + 2.17196i) q^{97} +(0.138901 + 4.19220i) q^{98} +(12.3868 - 8.72741i) 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 $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{2}{3}\right)$

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	$-0.348716\pi$
$2$	0.578797	+	0.155088i	0.409271	+	0.109664i	−0.0483087	+	0.998832i	$0.515383\pi$
$3$	−1.70530	+	0.303261i	−0.984553	+	0.175088i
$3$	−1.70530	+	0.303261i	−0.984553	+	0.175088i
$4$	−1.42110	−	0.820471i	−0.710549	−	0.410236i
$5$	0.609213	+	0.163238i	0.272448	+	0.0730023i	0.392456	−	0.919771i	$-0.371625\pi$
$5$	0.609213	+	0.163238i	0.272448	+	0.0730023i	−0.120008	+	0.992773i	$0.538292\pi$
$6$	−1.03405	−	0.0889444i	−0.422150	−	0.0363114i
$7$	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
$9$	2.81607	−	1.03430i	0.938688	−	0.344767i
$10$	0.327294	+	0.188963i	0.103499	+	0.0597554i
$11$	4.87875	−	1.30726i	1.47100	−	0.394153i	0.567725	−	0.823219i	$-0.307824\pi$
$11$	4.87875	−	1.30726i	1.47100	−	0.394153i	0.903273	+	0.429066i	$0.141157\pi$
$12$	2.67221	+	0.968182i	0.771400	+	0.279490i
$13$	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
$15$	−1.08839	−	0.0936184i	−0.281021	−	0.0241722i
$16$	0.987288	+	1.71003i	0.246822	+	0.427508i
$17$	1.40216	−	2.42862i	0.340074	−	0.589026i	−0.644372	−	0.764712i	$-0.722881\pi$
$17$	1.40216	−	2.42862i	0.340074	−	0.589026i	0.984446	+	0.175686i	$0.0562145\pi$
$18$	1.79034	−	0.161911i	0.421986	−	0.0381629i
$19$	−0.846959	+	3.16090i	−0.194306	+	0.725159i	0.798140	+	0.602473i	$0.205818\pi$
$19$	−0.846959	+	3.16090i	−0.194306	+	0.725159i	−0.992445	+	0.122687i	$0.960849\pi$
$20$	−0.731818	−	0.731818i	−0.163640	−	0.163640i
$21$	−4.10227	−	2.04240i	−0.895188	−	0.445688i
$22$	3.02654			0.645261
$23$	0.0947877	+	0.164177i	0.0197646	+	0.0342333i	0.875739	−	0.482786i	$-0.160375\pi$
$23$	0.0947877	+	0.164177i	0.0197646	+	0.0342333i	−0.855974	+	0.517019i	$0.827042\pi$
$24$	3.09860	+	2.16292i	0.632499	+	0.441503i
$25$	−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	$-0.198593\pi$
$30$	−0.615438	−	0.222983i	−0.112363	−	0.0407109i
$31$	4.65914	−	1.24841i	0.836806	−	0.224221i	0.185125	−	0.982715i	$-0.440731\pi$
$31$	4.65914	−	1.24841i	0.836806	−	0.224221i	0.651681	+	0.758493i	$0.274064\pi$
$32$	1.43557	+	5.35761i	0.253775	+	0.947100i
$33$	−7.92327	+	3.70879i	−1.37926	+	0.645618i
$34$	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	0.671534	−	0.740974i	$-0.265636\pi$
$37$	5.36873	+	1.43855i	0.882613	+	0.236495i	0.211079	+	0.977469i	$0.432302\pi$
$38$	−0.980435	+	1.69816i	−0.159047	+	0.275478i
$39$	−5.62586	−	2.71103i	−0.900859	−	0.434113i
$40$	−0.688004	−	1.19166i	−0.108783	−	0.188418i
$41$	−1.27587	+	1.27587i	−0.199258	+	0.199258i	−0.799682	−	0.600424i	$-0.794999\pi$
$41$	−1.27587	+	1.27587i	−0.199258	+	0.199258i	0.600424	+	0.799682i	$0.294999\pi$
$42$	−2.05763	−	1.81835i	−0.317499	−	0.280577i
$43$		−	1.11979i		−	0.170767i	−0.996348	−	0.0853834i	$-0.972788\pi$
$43$		−	1.11979i		−	0.170767i	0.996348	−	0.0853834i	$-0.0272115\pi$
$44$	−8.00574	−	2.14513i	−1.20691	−	0.323391i
$45$	1.88442	−	0.170420i	0.280913	−	0.0254047i
$46$	0.0294009	+	0.109726i	0.00433492	+	0.0161782i
$47$	−3.19947	+	11.9406i	−0.466691	+	1.74171i	0.184533	+	0.982826i	$0.440923\pi$
$47$	−3.19947	+	11.9406i	−0.466691	+	1.74171i	−0.651223	+	0.758886i	$0.725744\pi$
$48$	−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
$51$	−1.65459	+	4.56673i	−0.231690	+	0.639470i
$52$	−2.42412	−	5.39709i	−0.336165	−	0.748442i
$53$	−11.7406	−	6.77845i	−1.61270	−	0.931092i	−0.988742	−	0.149633i	$-0.952191\pi$
$53$	−11.7406	−	6.77845i	−1.61270	−	0.931092i	−0.623956	−	0.781459i	$-0.714476\pi$
$54$	−3.00395	+	0.819047i	−0.408786	+	0.111458i
$55$	3.18559			0.429545
$56$	−0.848096	−	5.70961i	−0.113332	−	0.762978i
$57$	0.485739	−	5.64711i	0.0643376	−	0.747978i
$58$	0.975824	−	3.64182i	0.128132	−	0.478195i
$59$	4.79496	−	1.28481i	0.624250	−	0.167267i	0.0671912	−	0.997740i	$-0.478596\pi$
$59$	4.79496	−	1.28481i	0.624250	−	0.167267i	0.557059	+	0.830473i	$0.311930\pi$
$60$	1.46990	+	1.02603i	0.189763	+	0.132460i
$61$	−3.34959	−	5.80165i	−0.428871	−	0.742826i	0.567902	−	0.823096i	$-0.307755\pi$
$61$	−3.34959	−	5.80165i	−0.428871	−	0.742826i	−0.996773	+	0.0802700i	$0.974422\pi$
$62$	2.89031			0.367069
$63$	7.61496	+	2.23884i	0.959395	+	0.282067i
$64$		−	0.625545i		−	0.0781932i
$65$	1.43687	+	1.76257i	0.178221	+	0.218619i
$66$	−5.16115	+	0.917833i	−0.635294	+	0.112977i
$67$	8.14904	−	2.18353i	0.995564	−	0.266761i	0.275978	−	0.961164i	$-0.410998\pi$
$67$	8.14904	−	2.18353i	0.995564	−	0.266761i	0.719586	+	0.694403i	$0.244332\pi$
$68$	−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	$-0.917550\pi$
$71$	−5.98679	+	5.98679i	−0.710501	+	0.710501i	0.256139	+	0.966640i	$0.417550\pi$
$72$	−5.93995	−	2.74873i	−0.700030	−	0.323940i
$73$	0.480360	+	1.79273i	0.0562219	+	0.209823i	0.988323	−	0.152376i	$-0.0486926\pi$
$73$	0.480360	+	1.79273i	0.0562219	+	0.209823i	−0.932101	+	0.362199i	$0.882026\pi$
$74$	2.88430	+	1.66525i	0.335293	+	0.193582i
$75$	7.49452	+	2.71538i	0.865393	+	0.313545i
$76$	3.79704	−	3.79704i	0.435550	−	0.435550i
$77$	12.4291	+	4.90876i	1.41642	+	0.559405i
$78$	−2.83578	−	2.44164i	−0.321089	−	0.276461i
$79$	−4.82027	−	8.34896i	−0.542323	−	0.939331i	−0.998770	−	0.0495804i	$-0.984212\pi$
$79$	−4.82027	−	8.34896i	−0.542323	−	0.939331i	0.456447	−	0.889751i	$-0.349122\pi$
$80$	0.322326	+	1.20294i	0.0360371	+	0.134492i
$81$	6.86045	−	5.82531i	0.762272	−	0.647257i
$82$	−0.936345	+	0.540599i	−0.103402	+	0.0596992i
$83$	−6.08706	+	6.08706i	−0.668141	+	0.668141i	−0.957286	−	0.289144i	$-0.906629\pi$
$83$	−6.08706	+	6.08706i	−0.668141	+	0.668141i	0.289144	+	0.957286i	$0.406629\pi$
$84$	4.15399	+	6.26824i	0.453238	+	0.683921i
$85$	1.25066	−	1.25066i	0.135653	−	0.135653i
$86$	0.173667	−	0.648132i	0.0187269	−	0.0698899i
$87$	1.90814	+	10.7298i	0.204574	+	1.15036i
$88$	−9.54314	−	5.50973i	−1.01730	−	0.587340i
$89$	1.77830	−	6.63669i	0.188499	−	0.703488i	−0.805355	−	0.592792i	$-0.798026\pi$
$89$	1.77830	−	6.63669i	0.188499	−	0.703488i	0.993854	−	0.110695i	$-0.0353078\pi$
$90$	1.11713	+	0.193613i	0.117755	+	0.0204086i
$91$	2.89017	+	9.09103i	0.302972	+	0.952999i
$92$		−	0.311082i		−	0.0324326i
$93$	−7.56661	+	3.54185i	−0.784621	+	0.367273i
$94$	−3.70368	+	6.41497i	−0.382006	+	0.661654i
$95$	−1.03196	+	1.78740i	−0.105877	+	0.183384i
$96$	−4.07282	−	8.70095i	−0.415681	−	0.888037i
$97$	2.17196	+	2.17196i	0.220529	+	0.220529i	0.808721	−	0.588192i	$-0.200160\pi$
$97$	2.17196	+	2.17196i	0.220529	+	0.220529i	−0.588192	+	0.808721i	$0.700160\pi$
$98$	0.138901	+	4.19220i	0.0140311	+	0.423476i
$99$	12.3868	−	8.72741i	1.24492	−	0.877138i
$100$	3.77598	+	6.54019i	0.377598	+	0.654019i
$101$	0.875463	−	1.51635i	0.0871119	−	0.150882i	−0.819177	−	0.573540i	$-0.805570\pi$
$101$	0.875463	−	1.51635i	0.0871119	−	0.150882i	0.906289	+	0.422658i	$0.138903\pi$
$102$	−1.66592	+	2.38660i	−0.164951	+	0.236309i
$103$	−14.3362	+	8.27701i	−1.41259	+	0.815558i	−0.995632	−	0.0933679i	$-0.970237\pi$
$103$	−14.3362	+	8.27701i	−1.41259	+	0.815558i	−0.416957	+	0.908926i	$0.636903\pi$
$104$	−1.25595	−	7.76534i	−0.123156	−	0.761454i
$105$	−2.16576	−	1.91390i	−0.211356	−	0.186778i
$106$	−5.74417	−	5.74417i	−0.557924	−	0.557924i
$107$	12.2699	−	7.08403i	1.18618	−	0.684839i	0.228741	−	0.973487i	$-0.426539\pi$
$107$	12.2699	−	7.08403i	1.18618	−	0.684839i	0.957435	+	0.288649i	$0.0932059\pi$
$108$	8.52650	−	0.0374041i	0.820463	−	0.00359921i
$109$	−2.24370	+	0.601199i	−0.214908	+	0.0575844i	−0.364667	−	0.931138i	$-0.618817\pi$
$109$	−2.24370	+	0.601199i	−0.214908	+	0.0575844i	0.149759	+	0.988723i	$0.452150\pi$
$110$	1.84381	+	0.494047i	0.175800	+	0.0471055i
$111$	−9.59152	−	0.825018i	−0.910387	−	0.0783073i
$112$	−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	$-0.0372776\pi$
$114$	1.15694	−	3.19320i	0.108358	−	0.299070i
$115$	0.0309459	+	0.115492i	0.00288572	+	0.0107697i
$116$	−5.16245	+	8.94163i	−0.479322	+	0.830210i
$117$	10.4159	+	2.91701i	0.962951	+	0.269677i
$118$	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
$123$	1.78882	−	2.56267i	0.161292	−	0.231068i
$124$	−7.64538	−	2.04857i	−0.686575	−	0.183967i
$125$	−4.28234	−	4.28234i	−0.383024	−	0.383024i
$126$	4.06030	+	2.47682i	0.361720	+	0.220653i
$127$			18.0650i			1.60301i	0.597986	+	0.801506i	$0.295968\pi$
$127$			18.0650i			1.60301i	−0.597986	+	0.801506i	$0.704032\pi$
$128$	2.96815	−	11.0773i	0.262350	−	0.979102i
$129$	0.339590	+	1.90958i	0.0298992	+	0.168129i
$130$	0.558301	+	1.24301i	0.0489662	+	0.109019i
$131$	−6.72144	+	3.88062i	−0.587255	+	0.339052i	−0.764011	−	0.645203i	$-0.776773\pi$
$131$	−6.72144	+	3.88062i	−0.587255	+	0.339052i	0.176756	+	0.984255i	$0.443439\pi$
$132$	14.3027	+	1.23025i	1.24489	+	0.107080i
$133$	−6.78060	+	5.38365i	−0.587952	+	0.466822i
$134$	5.05528			0.436709
$135$	−3.16181	+	0.862088i	−0.272125	+	0.0741967i
$136$	−5.90973	+	1.58351i	−0.506755	+	0.135785i
$137$	−17.0570	+	4.57040i	−1.45728	+	0.390476i	−0.898548	−	0.438875i	$-0.855377\pi$
$137$	−17.0570	+	4.57040i	−1.45728	+	0.390476i	−0.558728	+	0.829351i	$0.688710\pi$
$138$	−0.0834127	−	0.178198i	−0.00710056	−	0.0151693i
$139$	−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
$141$	1.83492	−	21.3325i	0.154528	−	1.79652i
$142$	−4.39361	+	2.53665i	−0.368704	+	0.212871i
$143$	17.0228	+	6.47064i	1.42352	+	0.541102i
$144$	4.54895	+	3.79441i	0.379079	+	0.316201i
$145$	1.02710	−	3.83320i	0.0852963	−	0.318330i
$146$			1.11212i			0.0920400i
$147$	−5.50085	−	10.8047i	−0.453702	−	0.891153i
$148$	−6.44920	−	6.44920i	−0.530121	−	0.530121i
$149$	−14.7672	−	3.95685i	−1.20977	−	0.324158i	−0.403100	−	0.915156i	$-0.632067\pi$
$149$	−14.7672	−	3.95685i	−1.20977	−	0.324158i	−0.806673	+	0.590998i	$0.798734\pi$
$150$	3.91668	+	2.73396i	0.319796	+	0.223227i
$151$	1.39020	+	5.18831i	0.113133	+	0.422218i	0.999140	−	0.0414528i	$-0.0131986\pi$
$151$	1.39020	+	5.18831i	0.113133	+	0.422218i	−0.886007	+	0.463671i	$0.846532\pi$
$152$	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
$156$	5.77057	+	8.46850i	0.462015	+	0.678022i
$157$	4.42043	−	7.65640i	0.352788	−	0.611047i	−0.633949	−	0.773375i	$-0.718567\pi$
$157$	4.42043	−	7.65640i	0.352788	−	0.611047i	0.986737	+	0.162328i	$0.0519002\pi$
$158$	−1.49513	−	5.57991i	−0.118946	−	0.443914i
$159$	22.0769	+	7.99878i	1.75081	+	0.634345i
$160$			3.49826i			0.276562i
$161$	−0.0572242	+	0.498294i	−0.00450990	+	0.0392711i
$162$	4.87424	−	2.30770i	0.382956	−	0.181310i
$163$	15.7150	+	4.21081i	1.23089	+	0.329816i	0.814926	−	0.579565i	$-0.196778\pi$
$163$	15.7150	+	4.21081i	1.23089	+	0.329816i	0.415964	+	0.909381i	$0.363444\pi$
$164$	2.85996	−	0.766324i	0.223325	−	0.0598398i
$165$	−5.43237	+	0.966066i	−0.422909	+	0.0752081i
$166$	−4.46720	+	2.57914i	−0.346722	+	0.200180i
$167$	0.0342068	+	0.0342068i	0.00264700	+	0.00264700i	0.708429	−	0.705782i	$-0.249404\pi$
$167$	0.0342068	+	0.0342068i	0.00264700	+	0.00264700i	−0.705782	+	0.708429i	$0.749404\pi$
$168$	3.17776	+	9.47937i	0.245169	+	0.731349i
$169$	4.09800	+	12.3372i	0.315231	+	0.949015i
$170$	0.917838	−	0.529914i	0.0703950	−	0.0406425i
$171$	0.884223	+	9.77730i	0.0676182	+	0.747689i
$172$	−0.918757	+	1.59133i	−0.0700546	+	0.121338i
$173$	−6.08396	−	10.5377i	−0.462555	−	0.801168i	0.536533	−	0.843880i	$-0.319734\pi$
$173$	−6.08396	−	10.5377i	−0.462555	−	0.801168i	−0.999087	+	0.0427112i	$0.986400\pi$
$174$	−0.559643	+	6.50632i	−0.0424265	+	0.493242i
$175$	−4.84532	−	11.1707i	−0.366272	−	0.844429i
$176$	7.05218	+	7.05218i	0.531578	+	0.531578i
$177$	−7.78719	+	3.64510i	−0.585321	+	0.273982i
$178$	2.05854	−	3.56550i	0.154294	−	0.267246i
$179$	−2.66066	+	4.60841i	−0.198867	+	0.344448i	−0.948161	−	0.317789i	$-0.897060\pi$
$179$	−2.66066	+	4.60841i	−0.198867	+	0.344448i	0.749294	+	0.662237i	$0.230393\pi$
$180$	−2.81777	−	1.30393i	−0.210024	−	0.0971891i
$181$		−	11.1053i		−	0.825450i	−0.910856	−	0.412725i	$-0.864577\pi$
$181$		−	11.1053i		−	0.825450i	0.910856	−	0.412725i	$-0.135423\pi$
$182$	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
$186$	−4.92883	+	0.876519i	−0.361399	+	0.0642695i
$187$	3.66597	−	13.6816i	0.268082	−	1.00050i
$188$	14.3437	−	14.3437i	1.04612	−	1.04612i
$189$	−13.6647	−	1.50855i	−0.993961	−	0.109731i
$190$	−0.874498	+	0.874498i	−0.0634427	+	0.0634427i
$191$	7.30603	−	4.21814i	0.528646	−	0.305214i	−0.211819	−	0.977309i	$-0.567939\pi$
$191$	7.30603	−	4.21814i	0.528646	−	0.305214i	0.740465	+	0.672095i	$0.234605\pi$
$192$	0.189704	+	1.06674i	0.0136907	+	0.0769853i
$193$	0.217532	+	0.811840i	0.0156583	+	0.0584375i	0.973313	−	0.229482i	$-0.0737032\pi$
$193$	0.217532	+	0.811840i	0.0156583	+	0.0584375i	−0.957655	+	0.287919i	$0.907036\pi$
$194$	0.920278	+	1.59397i	0.0660721	+	0.114440i
$195$	−2.98480	−	2.56995i	−0.213746	−	0.184038i
$196$	2.60390	−	11.1876i	0.185993	−	0.799112i
$197$	−7.41450	+	7.41450i	−0.528261	+	0.528261i	−0.920054	−	0.391792i	$-0.871855\pi$
$197$	−7.41450	+	7.41450i	−0.528261	+	0.528261i	0.391792	+	0.920054i	$0.371855\pi$
$198$	8.52294	−	3.13035i	0.605699	−	0.222465i
$199$	0.0921476	+	0.0532014i	0.00653217	+	0.00377135i	0.503263	−	0.864134i	$-0.332133\pi$
$199$	0.0921476	+	0.0532014i	0.00653217	+	0.00377135i	−0.496730	+	0.867905i	$0.665466\pi$
$200$	2.59872	+	9.69854i	0.183757	+	0.685791i
$201$	−13.2343	+	6.19485i	−0.933479	+	0.436951i
$202$	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
$207$	0.436737	+	0.364294i	0.0303553	+	0.0253202i
$208$	−0.721025	+	7.08283i	−0.0499941	+	0.491106i
$209$			16.5284i			1.14329i
$210$	−0.956709	−	1.44364i	−0.0660192	−	0.0996208i
$211$	−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
$213$	8.39368	−	12.0248i	0.575126	−	0.823926i
$214$	8.20042	−	2.19730i	0.560569	−	0.150204i
$215$	0.182793	−	0.682192i	0.0124664	−	0.0465251i
$216$	10.9630	+	2.88603i	0.745935	+	0.196370i
$217$	11.8696	+	4.68780i	0.805760	+	0.318229i
$218$	−1.39189			−0.0942705
$219$	−1.36282	−	2.91146i	−0.0920909	−	0.196738i
$220$	−4.52703	−	2.61368i	−0.305212	−	0.176214i
$221$	9.22348	−	4.14275i	0.620438	−	0.278672i
$222$	−5.42359	−	1.96505i	−0.364007	−	0.131885i
$223$	−19.5886	−	19.5886i	−1.31175	−	1.31175i	−0.920125	−	0.391624i	$-0.871913\pi$
$223$	−19.5886	−	19.5886i	−1.31175	−	1.31175i	−0.391624	−	0.920125i	$-0.628087\pi$
$224$	−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	−0.780695	−	0.624913i	$-0.785134\pi$
$227$	−6.28349	−	23.4503i	−0.417050	−	1.55645i	0.363645	−	0.931538i	$-0.381532\pi$
$228$	−5.32357	+	7.62656i	−0.352562	+	0.505081i
$229$	−13.3404	−	3.57456i	−0.881561	−	0.236214i	−0.210481	−	0.977598i	$-0.567503\pi$
$229$	−13.3404	−	3.57456i	−0.881561	−	0.236214i	−0.671081	+	0.741384i	$0.734170\pi$
$230$			0.0716456i			0.00472417i
$231$	−22.6839	−	4.60163i	−1.49249	−	0.302765i
$232$	−9.70675	+	9.70675i	−0.637279	+	0.637279i
$233$	8.83595	+	15.3043i	0.578863	+	1.00262i	0.995610	+	0.0935972i	$0.0298366\pi$
$233$	8.83595	+	15.3043i	0.578863	+	1.00262i	−0.416748	+	0.909022i	$0.636830\pi$
$234$	5.57630	+	3.30374i	0.364534	+	0.215972i
$235$	−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	$-0.595459\pi$
$239$	10.2026	−	10.2026i	0.659950	−	0.659950i	0.955368	+	0.295418i	$0.0954590\pi$
$240$	−0.914465	−	1.95361i	−0.0590284	−	0.126105i
$241$	−4.37567	−	16.3302i	−0.281862	−	1.05192i	−0.951102	−	0.308877i	$-0.900047\pi$
$241$	−4.37567	−	16.3302i	−0.281862	−	1.05192i	0.669240	−	0.743046i	$-0.266620\pi$
$242$	8.39897	−	2.25050i	0.539906	−	0.144668i
$243$	−9.93249	+	12.0144i	−0.637170	+	0.770724i
$244$			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
$249$	8.53426	−	12.2262i	0.540837	−	0.774804i
$250$	−1.81447	−	3.14275i	−0.114757	−	0.198765i
$251$	−24.6814			−1.55787			−0.778937	−	0.627102i	$-0.784241\pi$
$251$	−24.6814			−1.55787			−0.778937	+	0.627102i	$0.784241\pi$
$252$	−8.98470	−	9.42946i	−0.565983	−	0.594000i
$253$	0.677067	+	0.677067i	0.0425668	+	0.0425668i
$254$	−2.80167	+	10.4560i	−0.175793	+	0.656067i
$255$	−1.75346	+	2.51202i	−0.109806	+	0.157308i
$256$	2.81036	−	4.86769i	0.175648	−	0.304231i
$257$	2.33559	+	4.04536i	0.145690	+	0.252343i	0.929630	−	0.368494i	$-0.120126\pi$
$257$	2.33559	+	4.04536i	0.145690	+	0.252343i	−0.783940	+	0.620836i	$0.786793\pi$
$258$	−0.0995992	+	1.15792i	−0.00620078	+	0.0720892i
$259$	9.14404	+	11.5167i	0.568183	+	0.715614i
$260$	−0.595794	−	3.68369i	−0.0369495	−	0.228453i
$261$	−6.50788	−	17.7189i	−0.402828	−	1.09677i
$262$	−4.49218	+	1.20368i	−0.277528	+	0.0743634i
$263$	−2.05144	−	1.18440i	−0.126497	−	0.0730332i	0.435416	−	0.900229i	$-0.356601\pi$
$263$	−2.05144	−	1.18440i	−0.126497	−	0.0730332i	−0.561913	+	0.827196i	$0.689935\pi$
$264$	17.9448	+	6.50166i	1.10442	+	0.400149i
$265$	−6.04603	−	6.04603i	−0.371405	−	0.371405i
$266$	−4.75953	+	2.06445i	−0.291825	+	0.126580i
$267$	−1.01987	+	11.8568i	−0.0624149	+	0.725625i
$268$	−13.3721	−	3.58304i	−0.816831	−	0.218869i
$269$	−16.9032	−	9.75907i	−1.03061	−	0.595021i	−0.113448	−	0.993544i	$-0.536190\pi$
$269$	−16.9032	−	9.75907i	−1.03061	−	0.595021i	−0.917158	+	0.398523i	$0.869523\pi$
$270$	−1.96374	+	0.00861456i	−0.119510	+	0.000524265i
$271$	14.1635	+	3.79511i	0.860373	+	0.230536i	0.661920	−	0.749574i	$-0.269742\pi$
$271$	14.1635	+	3.79511i	0.860373	+	0.230536i	0.198453	+	0.980110i	$0.436408\pi$
$272$	5.53735			0.335751
$273$	−7.68556	−	14.6264i	−0.465151	−	0.885231i
$274$	−10.5813			−0.639242
$275$	−22.4530	−	6.01627i	−1.35397	−	0.362795i
$276$	0.0943392	+	0.530487i	0.00567855	+	0.0319316i
$277$	10.0421	+	5.79783i	0.603374	+	0.348358i	0.770368	−	0.637600i	$-0.220073\pi$
$277$	10.0421	+	5.79783i	0.603374	+	0.348358i	−0.166994	+	0.985958i	$0.553406\pi$
$278$	−5.33502	−	1.42951i	−0.319973	−	0.0857365i
$279$	11.8292	−	8.33456i	0.708196	−	0.498977i
$280$	0.415354	−	3.61680i	0.0248222	−	0.216145i
$281$	−9.17695	−	9.17695i	−0.547451	−	0.547451i	0.378252	−	0.925703i	$-0.376525\pi$
$281$	−9.17695	−	9.17695i	−0.547451	−	0.547451i	−0.925703	+	0.378252i	$0.876525\pi$
$282$	4.37046	−	12.0626i	0.260257	−	0.718317i
$283$	3.02366	+	1.74571i	0.179738	+	0.103772i	0.587170	−	0.809464i	$-0.300242\pi$
$283$	3.02366	+	1.74571i	0.179738	+	0.103772i	−0.407432	+	0.913236i	$0.633576\pi$
$284$	13.4198	−	3.59582i	0.796319	−	0.213373i
$285$	1.21774	−	3.36100i	0.0721328	−	0.199088i
$286$	8.84921	+	6.38522i	0.523265	+	0.377566i
$287$	−4.72208	+	0.701409i	−0.278735	+	0.0414029i
$288$	9.58403	+	13.6026i	0.564744	+	0.801539i
$289$	4.56789	+	7.91181i	0.268699	+	0.465401i
$290$	1.18897	−	2.05935i	0.0698186	−	0.120929i
$291$	−4.36250	−	3.04516i	−0.255735	−	0.178511i
$292$	0.788243	−	2.94176i	0.0461284	−	0.172154i
$293$	11.5707	+	11.5707i	0.675966	+	0.675966i	0.959085	−	0.283119i	$-0.0913692\pi$
$293$	11.5707	+	11.5707i	0.675966	+	0.675966i	−0.283119	+	0.959085i	$0.591369\pi$
$294$	−1.50820	−	7.10682i	−0.0879600	−	0.414478i
$295$	3.13088			0.182287
$296$	−6.06308	−	10.5016i	−0.352410	−	0.610391i
$297$	−18.4764	+	18.6392i	−1.07211	+	1.08156i
$298$	−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
$303$	−1.03307	+	2.85131i	−0.0593486	+	0.163804i
$304$	−6.24143	+	1.67239i	−0.357970	+	0.0959179i
$305$	−1.09356	−	4.08122i	−0.0626171	−	0.233690i
$306$	2.11712	−	4.57507i	0.121028	−	0.261539i
$307$	1.22279	−	1.22279i	0.0697881	−	0.0697881i	−0.671351	−	0.741139i	$-0.734286\pi$
$307$	1.22279	−	1.22279i	0.0697881	−	0.0697881i	0.741139	+	0.671351i	$0.234286\pi$
$308$	−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	0.0771516	+	0.997019i	$0.475417\pi$
$311$	−14.5467	+	25.1956i	−0.824868	+	1.42871i	−0.902020	+	0.431694i	$0.857916\pi$
$312$	4.49670	+	12.8613i	0.254575	+	0.728128i
$313$	3.87011	+	6.70322i	0.218751	+	0.378888i	0.954427	−	0.298446i	$-0.0964683\pi$
$313$	3.87011	+	6.70322i	0.218751	+	0.378888i	−0.735675	+	0.677335i	$0.763135\pi$
$314$	3.74594	−	3.74594i	0.211396	−	0.211396i
$315$	4.27367	+	2.60698i	0.240794	+	0.146887i
$316$			15.8196i			0.889921i
$317$	−2.23446	−	0.598722i	−0.125500	−	0.0336276i	0.195522	−	0.980699i	$-0.437360\pi$
$317$	−2.23446	−	0.598722i	−0.125500	−	0.0336276i	−0.321022	+	0.947072i	$0.604026\pi$
$318$	11.5375	+	8.05353i	0.646991	+	0.451619i
$319$	−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
$324$	−14.5289	+	2.64954i	−0.807159	+	0.147197i
$325$	−6.79873	−	15.1368i	−0.377126	−	0.839637i
$326$	8.44272	+	4.87440i	0.467599	+	0.269968i
$327$	3.64386	−	1.70565i	0.201506	−	0.0943227i
$328$	3.93658			0.217361
$329$	−25.6143	+	20.3373i	−1.41216	+	1.12123i
$330$	−3.29406	−	0.283340i	−0.181332	−	0.0155974i
$331$	5.48984	−	20.4884i	0.301749	−	1.12614i	−0.633959	−	0.773366i	$-0.718571\pi$
$331$	5.48984	−	20.4884i	0.301749	−	1.12614i	0.935708	−	0.352775i	$-0.114762\pi$
$332$	13.6446	−	3.65605i	0.748842	−	0.200652i
$333$	16.6066	−	1.50184i	0.910034	−	0.0823002i
$334$	0.0144937	+	0.0251038i	0.000793060	+	0.00137362i
$335$	5.32093			0.290714
$336$	−0.557549	−	9.03145i	−0.0304168	−	0.492706i
$337$			14.0203i			0.763735i	0.924217	+	0.381867i	$0.124719\pi$
$337$			14.0203i			0.763735i	−0.924217	+	0.381867i	$0.875281\pi$
$338$	0.458555	+	7.77628i	0.0249421	+	0.422974i
$339$	0.753340	+	4.23617i	0.0409158	+	0.230077i
$340$	−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
$345$	−0.0877961	−	0.187563i	−0.00472678	−	0.0100980i
$346$	−1.88710	−	7.04275i	−0.101451	−	0.378621i
$347$	15.8244	+	9.13621i	0.849497	+	0.490457i	0.860481	−	0.509482i	$-0.170163\pi$
$347$	15.8244	+	9.13621i	0.849497	+	0.490457i	−0.0109840	+	0.999940i	$0.503496\pi$
$348$	6.09186	−	16.8137i	0.326558	−	0.901309i
$349$	−0.993560	+	0.993560i	−0.0531841	+	0.0531841i	−0.733199	−	0.680015i	$-0.761973\pi$
$349$	−0.993560	+	0.993560i	−0.0531841	+	0.0531841i	0.680015	+	0.733199i	$0.261973\pi$
$350$	−1.07201	−	7.21704i	−0.0573012	−	0.385767i
$351$	−18.6468	−	1.81562i	−0.995293	−	0.0969104i
$352$	14.0075	+	24.2618i	0.746604	+	1.29316i
$353$	8.15676	+	30.4414i	0.434140	+	1.62023i	0.743115	+	0.669163i	$0.233347\pi$
$353$	8.15676	+	30.4414i	0.434140	+	1.62023i	−0.308975	+	0.951070i	$0.599986\pi$
$354$	−5.07251	+	0.902070i	−0.269601	+	0.0479445i
$355$	−4.62450	+	2.66996i	−0.245443	+	0.141707i
$356$	−7.97234	+	7.97234i	−0.422533	+	0.422533i
$357$	−10.7122	+	7.09906i	−0.566952	+	0.375722i
$358$	−2.25469	+	2.25469i	−0.119164	+	0.119164i
$359$	−6.16476	+	23.0072i	−0.325364	+	1.21427i	0.588582	+	0.808438i	$0.299686\pi$
$359$	−6.16476	+	23.0072i	−0.325364	+	1.21427i	−0.913946	+	0.405837i	$0.866980\pi$
$360$	−3.17000	−	2.64418i	−0.167074	−	0.139361i
$361$	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
$366$	2.94762	+	6.29714i	0.154075	+	0.329157i
$367$	8.47298	−	14.6756i	0.442286	−	0.766061i	−0.555573	−	0.831468i	$-0.687501\pi$
$367$	8.47298	−	14.6756i	0.442286	−	0.766061i	0.997859	+	0.0654064i	$0.0208344\pi$
$368$	−0.187165	+	0.324180i	−0.00975667	+	0.0168991i
$369$	−2.27331	+	4.91258i	−0.118344	+	0.255739i
$370$	1.48532	+	1.48532i	0.0772181	+	0.0772181i
$371$	−14.2730	−	32.9060i	−0.741019	−	1.70840i
$372$	13.6589	+	1.17487i	0.708180	+	0.0609144i
$373$	13.4127	+	23.2315i	0.694484	+	1.20288i	0.970354	+	0.241687i	$0.0777008\pi$
$373$	13.4127	+	23.2315i	0.694484	+	1.20288i	−0.275870	+	0.961195i	$0.588966\pi$
$374$	4.24370	−	7.35031i	0.219437	−	0.380075i
$375$	8.60133	+	6.00399i	0.444171	+	0.310045i
$376$	23.3565	−	13.4849i	1.20452	−	0.695431i
$377$	13.2746	−	18.3971i	0.683677	−	0.947501i
$378$	−7.67513	−	2.99238i	−0.394766	−	0.153911i
$379$	0.604563	+	0.604563i	0.0310543	+	0.0310543i	0.722463	−	0.691409i	$-0.243010\pi$
$379$	0.604563	+	0.604563i	0.0310543	+	0.0310543i	−0.691409	+	0.722463i	$0.743010\pi$
$380$	2.93302	−	1.69338i	0.150461	−	0.0868686i
$381$	−5.47843	−	30.8062i	−0.280668	−	1.57825i
$382$	4.88289	−	1.30837i	0.249830	−	0.0669419i
$383$	30.9591	+	8.29547i	1.58194	+	0.423879i	0.939525	−	0.342480i	$-0.111267\pi$
$383$	30.9591	+	8.29547i	1.58194	+	0.423879i	0.642412	+	0.766359i	$0.277934\pi$
$384$	−1.70226	+	19.7902i	−0.0868680	+	1.00991i
$385$	6.77065	+	5.01938i	0.345064	+	0.255811i
$386$			0.503627i			0.0256339i
$387$	−1.15820	−	3.15341i	−0.0588747	−	0.160297i
$388$	−1.30454	−	4.86860i	−0.0662278	−	0.247166i
$389$	13.6175	−	23.5862i	0.690435	−	1.19587i	−0.281261	−	0.959631i	$-0.590753\pi$
$389$	13.6175	−	23.5862i	0.690435	−	1.19587i	0.971696	−	0.236236i	$-0.0759140\pi$
$390$	−1.32902	−	1.95039i	−0.0672978	−	0.0987616i
$391$	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
$396$	−24.7634	+	2.23951i	−1.24441	+	0.112540i
$397$	27.7511	+	7.43588i	1.39279	+	0.373196i	0.875749	−	0.482766i	$-0.160368\pi$
$397$	27.7511	+	7.43588i	1.39279	+	0.373196i	0.517038	+	0.855962i	$0.327034\pi$
$398$	0.0450838	+	0.0450838i	0.00225985	+	0.00225985i
$399$	9.93027	−	11.2370i	0.497135	−	0.562554i
$400$		−	9.08742i		−	0.454371i
$401$	0.944439	−	3.52469i	0.0471630	−	0.176015i	−0.938327	−	0.345750i	$-0.887625\pi$
$401$	0.944439	−	3.52469i	0.0471630	−	0.176015i	0.985490	+	0.169735i	$0.0542912\pi$
$402$	−8.62074	+	1.53307i	−0.429964	+	0.0764626i
$403$	16.2565	+	6.17938i	0.809795	+	0.307817i
$404$	−2.48824	+	1.43658i	−0.123794	+	0.0714728i
$405$	5.13038	−	2.42897i	0.254931	−	0.120696i
$406$	7.81226	−	6.20277i	0.387716	−	0.307838i
$407$	28.0732			1.39154
$408$	9.59762	−	4.49254i	0.475153	−	0.222414i
$409$	−6.90735	+	1.85082i	−0.341547	+	0.0915171i	−0.425515	−	0.904951i	$-0.639907\pi$
$409$	−6.90735	+	1.85082i	−0.341547	+	0.0915171i	0.0839687	+	0.996468i	$0.473240\pi$
$410$	−0.658679	+	0.176493i	−0.0325298	+	0.00871635i
$411$	27.7012	−	12.9666i	1.36640	−	0.639596i
$412$	27.1642			1.33828
$413$	12.2156	+	4.82446i	0.601091	+	0.237396i
$414$	0.196284	+	0.278585i	0.00964683	+	0.0136917i
$415$	−4.70195	+	2.71467i	−0.230810	+	0.133258i
$416$	−7.10575	+	18.6936i	−0.348388	+	0.916529i
$417$	15.7184	−	2.79529i	0.769735	−	0.136886i
$418$	−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	$0.991695\pi$
$420$	1.50745	+	4.49678i	0.0735560	+	0.219420i
$421$	13.1501	+	13.1501i	0.640898	+	0.640898i	0.950776	−	0.309878i	$-0.100288\pi$
$421$	13.1501	+	13.1501i	0.640898	+	0.640898i	−0.309878	+	0.950776i	$0.600288\pi$
$422$	−11.1629	−	2.99109i	−0.543401	−	0.145604i
$423$	3.34024	+	36.9347i	0.162408	+	1.79582i
$424$	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
$429$	−30.9912	−	5.87200i	−1.49627	−	0.283503i
$430$	0.211600	−	0.366501i	0.0102042	−	0.0176743i
$431$	−4.57072	−	17.0582i	−0.220164	−	0.821662i	−0.984285	−	0.176589i	$-0.943494\pi$
$431$	−4.57072	−	17.0582i	−0.220164	−	0.821662i	0.764121	−	0.645073i	$-0.223173\pi$
$432$	−8.90801	−	5.09107i	−0.428587	−	0.244944i
$433$		−	22.5992i		−	1.08605i	−0.839717	−	0.543025i	$-0.817279\pi$
$433$		−	22.5992i		−	1.08605i	0.839717	−	0.543025i	$-0.182721\pi$
$434$	6.14306	+	4.55412i	0.294876	+	0.218605i
$435$	−0.589053	+	6.84822i	−0.0282429	+	0.328347i
$436$	3.68179	+	0.986532i	0.176326	+	0.0472463i
$437$	−0.599228	+	0.160563i	−0.0286650	+	0.00768075i
$438$	−0.337264	−	1.89650i	−0.0161151	−	0.0906182i
$439$	−7.07699	+	4.08590i	−0.337766	+	0.195010i	−0.659284	−	0.751894i	$-0.729140\pi$
$439$	−7.07699	+	4.08590i	−0.337766	+	0.195010i	0.321517	+	0.946904i	$0.395807\pi$
$440$	−4.91440	−	4.91440i	−0.234285	−	0.234285i
$441$	12.6572	+	16.7569i	0.602724	+	0.797950i
$442$	5.98101	−	0.967359i	0.284488	−	0.0460126i
$443$	15.5991	−	9.00612i	0.741133	−	0.427894i	−0.0813479	−	0.996686i	$-0.525922\pi$
$443$	15.5991	−	9.00612i	0.741133	−	0.427894i	0.822481	+	0.568792i	$0.192589\pi$
$444$	12.9536	+	9.04200i	0.614750	+	0.429114i
$445$	2.16672	−	3.75287i	0.102712	−	0.177903i
$446$	−8.29986	−	14.3758i	−0.393010	−	0.680713i
$447$	26.3823	+	2.26929i	1.24784	+	0.107334i
$448$	0.985641	−	1.32953i	0.0465672	−	0.0628146i
$449$	1.78185	+	1.78185i	0.0840906	+	0.0840906i	0.747901	−	0.663810i	$-0.231062\pi$
$449$	1.78185	+	1.78185i	0.0840906	+	0.0840906i	−0.663810	+	0.747901i	$0.731062\pi$
$450$	−7.50820	−	3.47444i	−0.353940	−	0.163786i
$451$	−4.55677	+	7.89256i	−0.214570	+	0.371646i
$452$	−2.03816	+	3.53019i	−0.0958668	+	0.166046i
$453$	−3.94412	−	8.42600i	−0.185311	−	0.395888i
$454$		−	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	−0.951198	−	0.308581i	$-0.900146\pi$
$457$	0.574076	−	2.14248i	0.0268542	−	0.100221i	0.978052	+	0.208360i	$0.0668126\pi$
$458$	−7.16703	−	4.13789i	−0.334893	−	0.193351i
$459$	0.0639225	+	14.5716i	0.00298365	+	0.680142i
$460$	0.0507804	−	0.189515i	0.00236765	−	0.00883619i
$461$	−4.60624	+	4.60624i	−0.214534	+	0.214534i	−0.806190	−	0.591656i	$-0.798474\pi$
$461$	−4.60624	+	4.60624i	−0.214534	+	0.214534i	0.591656	+	0.806190i	$0.298474\pi$
$462$	−12.4157	−	6.18141i	−0.577630	−	0.287585i
$463$	−10.6044	+	10.6044i	−0.492827	+	0.492827i	−0.909196	−	0.416369i	$-0.863303\pi$
$463$	−10.6044	+	10.6044i	−0.492827	+	0.492827i	0.416369	+	0.909196i	$0.363303\pi$
$464$	10.7596	−	6.21207i	0.499503	−	0.288388i
$465$	−5.18784	+	0.922580i	−0.240580	+	0.0427836i
$466$	2.74070	+	10.2284i	0.126961	+	0.473823i
$467$	−21.4057	−	37.0758i	−0.990540	−	1.71567i	−0.614112	−	0.789219i	$-0.710486\pi$
$467$	−21.4057	−	37.0758i	−0.990540	−	1.71567i	−0.376428	−	0.926446i	$-0.622848\pi$
$468$	−12.4087	−	12.6913i	−0.573592	−	0.586656i
$469$	20.7604	+	8.19918i	0.958628	+	0.378603i
$470$	−3.30350	+	3.30350i	−0.152379	+	0.152379i
$471$	−5.21624	+	14.3970i	−0.240352	+	0.663377i
$472$	−9.37924	−	5.41511i	−0.431715	−	0.249251i
$473$	−1.46386	−	5.46319i	−0.0673082	−	0.251198i
$474$	4.24182	+	9.06199i	0.194833	+	0.416231i
$475$	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	$-0.726414\pi$
$479$	−18.3716	+	4.92266i	−0.839421	+	0.224922i	−0.186601	+	0.982436i	$0.559747\pi$
$480$	−1.06089	−	5.96557i	−0.0484227	−	0.272290i
$481$	12.6625	+	15.5327i	0.577360	+	0.708232i
$482$		−	10.1305i		−	0.461432i
$483$	−0.0535293	−	0.867093i	−0.00243567	−	0.0394541i
$484$	−23.8119			−1.08236
$485$	0.968639	+	1.67773i	0.0439836	+	0.0761819i
$486$	−7.61218	+	5.41348i	−0.345296	+	0.245560i
$487$	−40.6366	+	10.8885i	−1.84142	+	0.493407i	−0.998970	−	0.0453670i	$-0.985554\pi$
$487$	−40.6366	+	10.8885i	−1.84142	+	0.493407i	−0.842450	+	0.538774i	$0.818888\pi$
$488$	−3.78280	+	14.1176i	−0.171239	+	0.639074i
$489$	−28.0756	−	2.41494i	−1.26962	−	0.109207i
$490$	−0.599706	+	2.57662i	−0.0270920	+	0.116400i
$491$	30.4714			1.37516			0.687578	−	0.726110i	$-0.258674\pi$
$491$	30.4714			1.37516			0.687578	+	0.726110i	$0.258674\pi$
$492$	−4.64468	+	2.17412i	−0.209398	+	0.0980171i
$493$	−15.2810	−	8.82249i	−0.688221	−	0.397345i
$494$	−6.44934	+	2.89674i	−0.290170	+	0.130330i
$495$	8.97082	−	3.29486i	0.403209	−	0.148093i
$496$	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	−0.777713	−	0.628619i	$-0.783621\pi$
$499$	4.69363	−	17.5169i	0.210116	−	0.784162i	0.987829	−	0.155543i	$-0.0497128\pi$
$500$	2.57209	+	9.59917i	0.115027	+	0.429288i
$501$	−0.0687063	−	0.0479591i	−0.00306957	−	0.00214265i
$502$	−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	$0.575831\pi$
$504$	−8.29374	−	15.2014i	−0.369433	−	0.677126i
$505$	0.780869	−	0.780869i	0.0347482	−	0.0347482i
$506$	0.286879	+	0.496889i	0.0127533	+	0.0220894i
$507$	−10.7297	−	19.7958i	−0.476522	−	0.879162i
$508$	14.8218	−	25.6722i	0.657613	−	1.13902i
$509$	13.1548	+	3.52481i	0.583075	+	0.156234i	0.538286	−	0.842762i	$-0.319072\pi$
$509$	13.1548	+	3.52481i	0.583075	+	0.156234i	0.0447884	+	0.998996i	$0.485739\pi$
$510$	−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
$513$	−4.47294	−	16.4050i	−0.197485	−	0.724300i
$514$	0.724444	+	2.70366i	0.0319539	+	0.119253i
$515$	−10.0849	+	2.70225i	−0.444395	+	0.119075i
$516$	1.08416	−	2.99232i	0.0477276	−	0.131730i
$517$			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	$-0.283335\pi$
$521$	6.18440	+	3.57056i	0.270943	+	0.156429i	−0.358373	+	0.933579i	$0.616668\pi$
$522$	−1.01876	−	11.2649i	−0.0445898	−	0.493052i
$523$	−11.9815	−	20.7526i	−0.523915	−	0.907448i	−0.999612	−	0.0278389i	$-0.991137\pi$
$523$	−11.9815	−	20.7526i	−0.523915	−	0.907448i	0.475697	−	0.879609i	$-0.342196\pi$
$524$	12.7358			0.556364
$525$	11.6504	+	17.5800i	0.508463	+	0.767255i
$526$	−1.00368	−	1.00368i	−0.0437625	−	0.0437625i
$527$	3.50095	−	13.0657i	0.152504	−	0.569152i
$528$	−14.1647	−	9.88739i	−0.616439	−	0.430294i
$529$	11.4820	−	19.8875i	0.499219	−	0.864672i
$530$	−2.56176	−	4.43709i	−0.111276	−	0.192735i
$531$	12.1740	−	8.57752i	0.528308	−	0.372233i
$532$	14.0530	−	2.08741i	0.609276	−	0.0905008i
$533$	−6.42225	+	1.03872i	−0.278178	+	0.0449922i
$534$	−2.42915	+	6.70451i	−0.105119	+	0.290133i
$535$	8.63136	−	2.31277i	0.373166	−	0.0999896i
$536$	−15.9400	−	9.20299i	−0.688505	−	0.397508i
$537$	3.13967	−	8.66557i	0.135487	−	0.373947i
$538$	−8.27000	−	8.27000i	−0.356545	−	0.356545i
$539$	18.6822	+	30.0170i	0.804701	+	1.29292i
$540$	5.20056	+	1.36906i	0.223796	+	0.0589151i
$541$	5.78910	+	1.55118i	0.248893	+	0.0666906i	0.381108	−	0.924530i	$-0.375542\pi$
$541$	5.78910	+	1.55118i	0.248893	+	0.0666906i	−0.132216	+	0.991221i	$0.542209\pi$
$542$	7.60923	+	4.39319i	0.326844	+	0.188704i
$543$	3.36781	+	18.9378i	0.144526	+	0.812699i
$544$	15.0245	+	4.02579i	0.644169	+	0.172604i
$545$	−1.46503			−0.0627550
$546$	−2.17999	−	9.65766i	−0.0932950	−	0.413310i
$547$	−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
$549$	−15.4333	−	12.8734i	−0.658678	−	0.549422i
$550$	−12.0627	−	6.96440i	−0.514355	−	0.296963i
$551$	19.8885	+	5.32912i	0.847281	+	0.227028i
$552$	−0.0613923	+	0.713736i	−0.00261303	+	0.0303786i
$553$	2.91004	−	25.3399i	0.123747	−	1.07756i
$554$	4.91318	+	4.91318i	0.208741	+	0.208741i
$555$	−5.70860	−	2.06831i	−0.242317	−	0.0877950i
$556$	13.0989	+	7.56263i	0.555516	+	0.320727i
$557$	14.4605	−	3.87469i	0.612713	−	0.164176i	0.0609000	−	0.998144i	$-0.480603\pi$
$557$	14.4605	−	3.87469i	0.612713	−	0.164176i	0.551813	+	0.833968i	$0.313936\pi$
$558$	8.13929	−	2.98945i	0.344564	−	0.126553i
$559$	2.36247	−	3.27413i	0.0999219	−	0.138481i
$560$	−1.21034	+	3.06459i	−0.0511461	+	0.129503i
$561$	−2.10247	+	24.4429i	−0.0887661	+	1.03198i
$562$	−3.88835	−	6.73483i	−0.164020	−	0.284091i
$563$	10.6637	−	18.4701i	0.449422	−	0.778421i	−0.548927	−	0.835870i	$-0.684963\pi$
$563$	10.6637	−	18.4701i	0.449422	−	0.778421i	0.998348	+	0.0574493i	$0.0182968\pi$
$564$	−20.1103	+	28.8101i	−0.846796	+	1.21312i
$565$	0.405504	−	1.51336i	0.0170597	−	0.0636676i
$566$	1.47935	+	1.47935i	0.0621815	+	0.0621815i
$567$	23.7599	−	1.57145i	0.997820	−	0.0659948i
$568$	18.4716			0.775052
$569$	−18.5499	−	32.1294i	−0.777654	−	1.34694i	−0.933291	−	0.359122i	$-0.883076\pi$
$569$	−18.5499	−	32.1294i	−0.777654	−	1.34694i	0.155637	−	0.987814i	$-0.450257\pi$
$570$	1.22608	−	1.75648i	0.0513547	−	0.0735708i
$571$	14.6991	+	8.48652i	0.615138	+	0.355150i	0.774974	−	0.631994i	$-0.217763\pi$
$571$	14.6991	+	8.48652i	0.615138	+	0.355150i	−0.159836	+	0.987144i	$0.551096\pi$
$572$	−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
$576$	−0.647002	−	1.76158i	−0.0269584	−	0.0733990i
$577$	5.20910	−	1.39578i	0.216858	−	0.0581069i	−0.148754	−	0.988874i	$-0.547526\pi$
$577$	5.20910	−	1.39578i	0.216858	−	0.0581069i	0.365612	+	0.930767i	$0.380860\pi$
$578$	1.41685	+	5.28775i	0.0589332	+	0.219942i
$579$	−0.617156	−	1.31846i	−0.0256481	−	0.0547932i
$580$	−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
$585$	5.86933	+	3.47735i	0.242667	+	0.143771i
$586$	4.90259	+	8.49154i	0.202524	+	0.350782i
$587$	7.92659	−	7.92659i	0.327165	−	0.327165i	−0.524342	−	0.851508i	$-0.675689\pi$
$587$	7.92659	−	7.92659i	0.327165	−	0.327165i	0.851508	+	0.524342i	$0.175689\pi$
$588$	−1.04767	+	19.8678i	−0.0432051	+	0.819333i
$589$			15.7844i			0.650385i
$590$	1.81214	+	0.485562i	0.0746047	+	0.0199903i
$591$	10.3954	−	14.8924i	0.427609	−	0.612593i
$592$	2.84052	+	10.6010i	0.116745	+	0.435696i
$593$	−3.01511	+	11.2525i	−0.123816	+	0.462087i	−0.999795	−	0.0202627i	$-0.993550\pi$
$593$	−3.01511	+	11.2525i	−0.123816	+	0.462087i	0.875979	+	0.482349i	$0.160216\pi$
$594$	−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
$597$	−0.173273	−	0.0627793i	−0.00709158	−	0.00256939i
$598$	−0.145528	+	0.382851i	−0.00595109	+	0.0156560i
$599$	−17.5234	−	10.1171i	−0.715985	−	0.413374i	0.0972879	−	0.995256i	$-0.468983\pi$
$599$	−17.5234	−	10.1171i	−0.715985	−	0.413374i	−0.813273	+	0.581882i	$0.802317\pi$
$600$	−7.37277	−	15.7508i	−0.300992	−	0.643023i
$601$	−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
$603$	20.6898	−	14.5775i	0.842554	−	0.593642i
$604$	2.28124	−	8.51371i	0.0928224	−	0.346418i
$605$	8.84034	−	2.36876i	0.359411	−	0.0963039i
$606$	−1.04014	+	1.49011i	−0.0422530	+	0.0605317i
$607$	−9.48921	−	16.4358i	−0.385155	−	0.667108i	0.606636	−	0.794980i	$-0.292519\pi$
$607$	−9.48921	−	16.4358i	−0.385155	−	0.667108i	−0.991791	+	0.127872i	$0.959185\pi$
$608$	−18.1507			−0.736108
$609$	−12.8509	+	25.8117i	−0.520745	+	1.04594i
$610$		−	2.53180i		−	0.102509i
$611$	−34.5463	+	28.1626i	−1.39760	+	1.13934i
$612$	−8.84284	+	10.6013i	−0.357451	+	0.428532i
$613$	−35.1615	+	9.42150i	−1.42016	+	0.380531i	−0.885541	−	0.464562i	$-0.846212\pi$
$613$	−35.1615	+	9.42150i	−1.42016	+	0.380531i	−0.534620	+	0.845093i	$0.679545\pi$
$614$	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	$-0.744826\pi$
$617$	0.570917	−	0.570917i	0.0229843	−	0.0229843i	0.718506	+	0.695521i	$0.244826\pi$
$618$	15.5606	−	7.28373i	0.625938	−	0.292995i
$619$	−5.28324	−	19.7173i	−0.212351	−	0.792507i	−0.987082	−	0.160215i	$-0.948781\pi$
$619$	−5.28324	−	19.7173i	−0.212351	−	0.792507i	0.774731	−	0.632291i	$-0.217885\pi$
$620$	−4.32325	−	2.49603i	−0.173626	−	0.100243i
$621$	−0.855242	−	0.488784i	−0.0343197	−	0.0196142i
$622$	−12.3271	+	12.3271i	−0.494273	+	0.494273i
$623$	14.2367	−	11.3036i	0.570381	−	0.452871i
$624$	−0.918387	−	12.2970i	−0.0367649	−	0.492273i
$625$	9.59572	+	16.6203i	0.383829	+	0.664811i
$626$	1.20042	+	4.48001i	0.0479782	+	0.179057i
$627$	−5.01243	−	28.1858i	−0.200177	−	1.12563i
$628$	−12.5637	+	7.25366i	−0.501347	+	0.289453i
$629$	11.0215	−	11.0215i	0.439456	−	0.439456i
$630$	2.06927	+	2.17170i	0.0824418	+	0.0865228i
$631$	11.9196	−	11.9196i	0.474513	−	0.474513i	−0.428859	−	0.903371i	$-0.641084\pi$
$631$	11.9196	−	11.9196i	0.474513	−	0.474513i	0.903371	+	0.428859i	$0.141084\pi$
$632$	−5.44370	+	20.3161i	−0.216539	+	0.808133i
$633$	32.8890	−	5.84881i	1.30722	−	0.232469i
$634$	−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
$639$	−10.6671	+	23.0513i	−0.421982	+	0.911897i
$640$	3.61647	−	6.26390i	0.142953	−	0.247603i
$641$	−0.831244	+	1.43976i	−0.0328322	+	0.0568670i	−0.881975	−	0.471297i	$-0.843786\pi$
$641$	−0.831244	+	1.43976i	−0.0328322	+	0.0568670i	0.849142	+	0.528164i	$0.177119\pi$
$642$	−13.3178	+	6.23391i	−0.525611	+	0.246033i
$643$	19.7206	+	19.7206i	0.777706	+	0.777706i	0.979440	−	0.201734i	$-0.0646577\pi$
$643$	19.7206	+	19.7206i	0.777706	+	0.777706i	−0.201734	+	0.979440i	$0.564658\pi$
$644$	0.490157	−	0.661174i	0.0193149	−	0.0260539i
$645$	−0.104833	+	1.21877i	−0.00412780	+	0.0479891i
$646$	2.74946	+	4.76220i	0.108176	+	0.187366i
$647$	−7.28323	+	12.6149i	−0.286333	+	0.495944i	−0.972932	−	0.231093i	$-0.925770\pi$
$647$	−7.28323	+	12.6149i	−0.286333	+	0.495944i	0.686598	+	0.727037i	$0.259103\pi$
$648$	−19.5703	−	1.59689i	−0.768794	−	0.0627319i
$649$	21.7138	−	12.5365i	0.852342	−	0.492100i
$650$	−1.58755	−	9.81552i	−0.0622687	−	0.384996i
$651$	−21.6628	−	4.39450i	−0.849032	−	0.172234i
$652$	−18.8776	−	18.8776i	−0.739305	−	0.739305i
$653$	−2.58378	+	1.49174i	−0.101111	+	0.0583765i	−0.549703	−	0.835360i	$-0.685259\pi$
$653$	−2.58378	+	1.49174i	−0.101111	+	0.0583765i	0.448592	+	0.893737i	$0.351926\pi$
$654$	2.37358	−	0.422106i	0.0928143	−	0.0165056i
$655$	−4.72825	+	1.26693i	−0.184748	+	0.0495031i
$656$	−3.44144	−	0.922131i	−0.134366	−	0.0360032i
$657$	3.20694	+	4.55160i	0.125115	+	0.177575i
$658$	−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	$0.849779\pi$
$660$	8.51256	+	3.08423i	0.331351	+	0.120053i
$661$	−3.28717	−	12.2679i	−0.127856	−	0.477165i	0.872069	−	0.489382i	$-0.162778\pi$
$661$	−3.28717	−	12.2679i	−0.127856	−	0.477165i	−0.999925	+	0.0122171i	$0.996111\pi$
$662$	6.35500	−	11.0072i	0.246994	−	0.427806i
$663$	−14.4724	+	9.86174i	−0.562062	+	0.382998i
$664$	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
$669$	39.3448	+	27.4639i	1.52116	+	1.06181i
$670$	3.07974	+	0.825213i	0.118981	+	0.0318808i
$671$	−23.9260	−	23.9260i	−0.923655	−	0.923655i
$672$	5.05330	−	24.9103i	0.194935	−	0.960937i
$673$		−	22.2908i		−	0.859249i	−0.903008	−	0.429624i	$-0.858646\pi$
$673$		−	22.2908i		−	0.859249i	0.903008	−	0.429624i	$-0.141354\pi$
$674$	−2.17438	+	8.11491i	−0.0837541	+	0.312575i
$675$	23.9136	−	0.104904i	0.920434	−	0.00403776i
$676$	4.29866	−	20.8946i	0.165333	−	0.803640i
$677$	13.4234	−	7.75003i	0.515905	−	0.297858i	−0.219353	−	0.975646i	$-0.570395\pi$
$677$	13.4234	−	7.75003i	0.515905	−	0.297858i	0.735258	+	0.677788i	$0.237061\pi$
$678$	−0.220949	+	2.56872i	−0.00848550	+	0.0986510i
$679$	1.19403	+	8.03853i	0.0458227	+	0.308491i
$680$	−3.85877			−0.147977
$681$	17.8268	+	38.0841i	0.683123	+	1.45939i
$682$	14.1011	−	3.77837i	0.539958	−	0.144681i
$683$	1.28580	−	0.344528i	0.0491996	−	0.0131830i	−0.234135	−	0.972204i	$-0.575226\pi$
$683$	1.28580	−	0.344528i	0.0491996	−	0.0131830i	0.283335	+	0.959021i	$0.408559\pi$
$684$	6.76542	−	14.6200i	0.258682	−	0.559009i
$685$	−11.1374			−0.425538
$686$	−6.31023	+	9.12896i	−0.240926	+	0.348545i
$687$	23.8334	+	2.05004i	0.909302	+	0.0782139i
$688$	1.91488	−	1.10556i	0.0730042	−	0.0421490i
$689$	−20.0272	−	44.5889i	−0.762977	−	1.69870i
$690$	−0.0217273	−	0.122177i	−0.000827145	−	0.00465119i
$691$	0.779781	−	2.91018i	0.0296643	−	0.110709i	−0.949506	−	0.313748i	$-0.898415\pi$
$691$	0.779781	−	2.91018i	0.0296643	−	0.110709i	0.979171	+	0.203039i	$0.0650820\pi$
$692$			19.9668i			0.759026i
$693$	40.0782	+	0.968005i	1.52244	+	0.0367715i
$694$	7.74218	+	7.74218i	0.293889	+	0.293889i
$695$	−5.61537	−	1.50463i	−0.213003	−	0.0570740i
$696$	13.6092	−	19.4966i	0.515855	−	0.739015i
$697$	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	$-0.523321\pi$
$701$	−3.87616			−0.146401			−0.0732003	+	0.997317i	$0.523321\pi$
$702$	−10.5111	−	3.94277i	−0.396717	−	0.148810i
$703$	−9.09419	+	15.7516i	−0.342994	+	0.594083i
$704$	−0.817748	−	3.05188i	−0.0308200	−	0.115022i
$705$	4.60013	−	12.6965i	0.173251	−	0.478178i
$706$			18.8844i			0.710724i
$707$	4.24994	−	1.84342i	0.159836	−	0.0693289i
$708$	14.0571	+	1.20912i	0.528296	+	0.0454416i
$709$	13.8220	+	3.70360i	0.519098	+	0.139092i	0.508849	−	0.860856i	$-0.330071\pi$
$709$	13.8220	+	3.70360i	0.519098	+	0.139092i	0.0102484	+	0.999947i	$0.496738\pi$
$710$	−3.09072	+	0.828157i	−0.115993	+	0.0310802i
$711$	−22.2095	−	18.5256i	−0.832922	−	0.694764i
$712$	−12.9818	+	7.49504i	−0.486513	+	0.280888i
$713$	0.646590	+	0.646590i	0.0242150	+	0.0242150i
$714$	−7.30119	+	2.44757i	−0.273240	+	0.0915980i
$715$	9.31424	+	6.72076i	0.348333	+	0.251342i
$716$	7.56213	−	4.36600i	0.282610	−	0.163165i
$717$	−14.3044	+	20.4924i	−0.534206	+	0.765304i
$718$	−7.13629	+	12.3604i	−0.266324	+	0.461287i
$719$	16.8158	+	29.1257i	0.627122	+	1.08621i	0.988126	+	0.153643i	$0.0491005\pi$
$719$	16.8158	+	29.1257i	0.627122	+	1.08621i	−0.361005	+	0.932564i	$0.617566\pi$
$720$	2.15189	+	3.05416i	0.0801961	+	0.113822i
$721$	−43.5119	−	4.99691i	−1.62047	−	0.186094i
$722$	3.51314	+	3.51314i	0.130745	+	0.130745i
$723$	12.4141	+	26.5209i	0.461687	+	0.986323i
$724$	−9.11158	+	15.7817i	−0.338629	+	0.586523i
$725$	−14.4787	+	25.0778i	−0.537726	+	0.931368i
$726$	−13.6402	+	6.38485i	−0.506237	+	0.236964i
$727$		−	45.9430i		−	1.70393i	−0.523599	−	0.851965i	$-0.675411\pi$
$727$		−	45.9430i		−	1.70393i	0.523599	−	0.851965i	$-0.324589\pi$
$728$	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
$732$	−3.33374	−	18.7462i	−0.123219	−	0.692881i
$733$	−4.49530	+	16.7767i	−0.166038	+	0.619661i	0.831868	+	0.554973i	$0.187272\pi$
$733$	−4.49530	+	16.7767i	−0.166038	+	0.619661i	−0.997906	+	0.0646871i	$0.979395\pi$
$734$	7.18014	−	7.18014i	0.265024	−	0.265024i
$735$	−1.58746	−	7.48028i	−0.0585542	−	0.275914i
$736$	−0.743522	+	0.743522i	−0.0274066	+	0.0274066i
$737$	36.9027	−	21.3058i	1.35933	−	0.784808i
$738$	−2.07767	+	2.49082i	−0.0764799	+	0.0916885i
$739$	0.0462618	+	0.172651i	0.00170177	+	0.00635108i	0.966771	−	0.255642i	$-0.0822869\pi$
$739$	0.0462618	+	0.172651i	0.00170177	+	0.00635108i	−0.965070	+	0.261993i	$0.915620\pi$
$740$	−2.87618	−	4.98169i	−0.105730	−	0.183130i
$741$	13.3342	−	15.4866i	0.489843	−	0.568915i
$742$	−3.15785	−	21.2595i	−0.115928	−	0.780460i
$743$	−11.8499	+	11.8499i	−0.434731	+	0.434731i	−0.890234	−	0.455503i	$-0.849459\pi$
$743$	−11.8499	+	11.8499i	−0.434731	+	0.434731i	0.455503	+	0.890234i	$0.349459\pi$
$744$	17.1370	+	6.20900i	0.628273	+	0.227633i
$745$	−8.35043	−	4.82112i	−0.305936	−	0.176632i
$746$	4.16031	+	15.5265i	0.152320	+	0.568465i
$747$	−10.8457	+	23.4374i	−0.396824	+	0.857530i
$748$	−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	−0.644601	−	0.764519i	$-0.722977\pi$
$751$	−8.35311	+	4.82267i	−0.304809	+	0.175982i	0.339792	+	0.940501i	$0.389643\pi$
$752$	−23.5776	+	6.31759i	−0.859786	+	0.230379i
$753$	42.0890	−	7.48491i	1.53381	−	0.272765i
$754$	10.5365	−	8.58948i	0.383716	−	0.312810i
$755$			3.38771i			0.123292i
$756$	18.1812	+	13.3553i	0.661242	+	0.485727i
$757$	−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
$759$	−1.35993	−	0.949271i	−0.0493622	−	0.0344563i
$760$	4.34942	−	1.16542i	0.157770	−	0.0422743i
$761$	4.47507	−	16.7012i	0.162221	−	0.605417i	−0.836157	−	0.548490i	$-0.815203\pi$
$761$	4.47507	−	16.7012i	0.162221	−	0.605417i	0.998378	−	0.0569274i	$-0.0181304\pi$
$762$	1.60678	−	18.6802i	0.0582076	−	0.676712i
$763$	−5.71605	−	2.25751i	−0.206935	−	0.0817273i
$764$	−13.8434			−0.500838
$765$	2.22838	−	4.81549i	0.0805671	−	0.174104i
$766$	16.6325	+	9.60278i	0.600957	+	0.346963i
$767$	16.7304	+	6.35951i	0.604101	+	0.229629i
$768$	−3.31632	+	9.15313i	−0.119667	+	0.330285i
$769$	−15.1816	−	15.1816i	−0.547462	−	0.547462i	0.378244	−	0.925706i	$-0.376528\pi$
$769$	−15.1816	−	15.1816i	−0.547462	−	0.547462i	−0.925706	+	0.378244i	$0.876528\pi$
$770$	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	$-0.0867018\pi$
$773$	−0.152295	−	0.568374i	−0.00547769	−	0.0204430i	−0.968611	+	0.248583i	$0.920035\pi$
$774$	−0.181307	−	2.00481i	−0.00651696	−	0.0720613i
$775$	−21.4423	−	5.74546i	−0.770232	−	0.206383i
$776$		−	6.70136i		−	0.240565i
$777$	−19.0859	−	16.8664i	−0.684702	−	0.605078i
$778$	11.5397	−	11.5397i	0.413718	−	0.413718i
$779$	−2.95229	−	5.11352i	−0.105777	−	0.183211i
$780$	2.13312	+	6.10109i	0.0763781	+	0.218454i
$781$	−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
$786$	7.29547	−	3.41493i	0.260221	−	0.121807i
$787$	7.70336	+	28.7493i	0.274595	+	1.02480i	0.956112	+	0.293001i	$0.0946539\pi$
$787$	7.70336	+	28.7493i	0.274595	+	1.02480i	−0.681517	+	0.731802i	$0.738679\pi$
$788$	16.6201	−	4.45335i	0.592067	−	0.158644i
$789$	3.85749	+	1.39763i	0.137330	+	0.0497569i
$790$		−	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
$795$	12.1438	+	8.47674i	0.430696	+	0.300639i
$796$	−0.0873004	−	0.151209i	−0.00309428	−	0.00535945i
$797$	7.91239			0.280271			0.140136	−	0.990132i	$-0.455246\pi$
$797$	7.91239			0.280271			0.140136	+	0.990132i	$0.455246\pi$
$798$	7.49033	−	4.96388i	0.265155	−	0.175719i
$799$	24.5129	+	24.5129i	0.867204	+	0.867204i
$800$	6.60678	−	24.6569i	0.233585	−	0.871751i
$801$	−1.85654	−	20.5286i	−0.0655974	−	0.725344i
$802$	1.09328	−	1.89361i	0.0386049	−	0.0668657i
$803$	4.68711	+	8.11831i	0.165405	+	0.286489i
$804$	23.8900	+	2.05491i	0.842535	+	0.0724710i
$805$	−0.116202	+	0.294226i	−0.00409559	+	0.0103701i
$806$	8.45088	+	6.09780i	0.297669	+	0.214786i
$807$	31.7845	+	11.5160i	1.11887	+	0.405383i
$808$	−3.68984	+	0.988690i	−0.129808	+	0.0347820i
$809$	24.2075	+	13.9762i	0.851092	+	0.491378i	0.861019	−	0.508573i	$-0.169827\pi$
$809$	24.2075	+	13.9762i	0.851092	+	0.491378i	−0.00992729	+	0.999951i	$0.503160\pi$
$810$	3.34615	−	0.610218i	0.117572	−	0.0214409i
$811$	−0.497728	−	0.497728i	−0.0174776	−	0.0174776i	0.698314	−	0.715792i	$-0.253934\pi$
$811$	−0.497728	−	0.497728i	−0.0174776	−	0.0174776i	−0.715792	+	0.698314i	$0.753934\pi$
$812$	−25.0612	+	10.8703i	−0.879475	+	0.381473i
$813$	−25.3039	−	2.17653i	−0.887447	−	0.0763341i
$814$	16.2487	+	4.35382i	0.569516	+	0.152601i
$815$	8.88638	+	5.13056i	0.311276	+	0.179716i
$816$	−9.44281	+	1.67926i	−0.330565	+	0.0587860i
$817$	3.53955	+	0.948419i	0.123833	+	0.0331810i
$818$	−4.28499			−0.149821
$819$	17.5418	+	22.6116i	0.612959	+	0.790115i
$820$	1.86742			0.0652130
$821$	5.61229	+	1.50381i	0.195870	+	0.0524833i	0.355420	−	0.934707i	$-0.384338\pi$
$821$	5.61229	+	1.50381i	0.195870	+	0.0524833i	−0.159550	+	0.987190i	$0.551004\pi$
$822$	18.0443	−	3.20891i	0.629368	−	0.111924i
$823$	−2.46135	−	1.42106i	−0.0857972	−	0.0495350i	0.456488	−	0.889730i	$-0.349107\pi$
$823$	−2.46135	−	1.42106i	−0.0857972	−	0.0495350i	−0.542285	+	0.840195i	$0.682441\pi$
$824$	34.8854	+	9.34751i	1.21529	+	0.325636i
$825$	40.1136	+	3.45038i	1.39658	+	0.120127i
$826$	6.32214	+	4.68688i	0.219975	+	0.163077i
$827$	−20.8528	−	20.8528i	−0.725124	−	0.725124i	0.244520	−	0.969644i	$-0.421370\pi$
$827$	−20.8528	−	20.8528i	−0.725124	−	0.725124i	−0.969644	+	0.244520i	$0.921370\pi$
$828$	−0.321752	−	0.876028i	−0.0111817	−	0.0304441i
$829$	44.3746	+	25.6197i	1.54120	+	0.889809i	0.998764	+	0.0497092i	$0.0158295\pi$
$829$	44.3746	+	25.6197i	1.54120	+	0.889809i	0.542431	+	0.840100i	$0.317504\pi$
$830$	−3.14249	+	0.842027i	−0.109077	+	0.0292272i
$831$	−18.8831	−	6.84162i	−0.655046	−	0.237333i
$832$	1.31974	−	1.82901i	0.0457537	−	0.0634096i
$833$	19.1192	+	4.44999i	0.662442	+	0.154183i
$834$	9.53130	+	0.819838i	0.330042	+	0.0283887i
$835$	0.0152554	+	0.0264231i	0.000527933	+	0.000914407i
$836$	13.5611	−	23.4885i	0.469020	−	0.812366i
$837$	−17.6447	+	17.8002i	−0.609891	+	0.615266i
$838$	−0.165642	+	0.618183i	−0.00572199	+	0.0213548i
$839$	−14.0797	−	14.0797i	−0.486086	−	0.486086i	0.420983	−	0.907069i	$-0.361685\pi$
$839$	−14.0797	−	14.0797i	−0.486086	−	0.486086i	−0.907069	+	0.420983i	$0.861685\pi$
$840$	0.388536	+	6.29368i	0.0134058	+	0.217153i
$841$	−10.5900			−0.365173
$842$	5.57182	+	9.65068i	0.192018	+	0.332584i
$843$	18.4324	+	12.8664i	0.634847	+	0.443142i
$844$	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
$849$	−5.68564	−	2.05999i	−0.195131	−	0.0706988i
$850$	−7.47000	+	2.00158i	−0.256219	+	0.0686537i
$851$	0.272713	+	1.01778i	0.00934848	+	0.0348890i
$852$	−21.7943	+	10.2017i	−0.746659	+	0.349503i
$853$	24.4412	−	24.4412i	0.836852	−	0.836852i	−0.151592	−	0.988443i	$-0.548440\pi$
$853$	24.4412	−	24.4412i	0.836852	−	0.836852i	0.988443	+	0.151592i	$0.0484399\pi$
$854$	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	$-0.889572\pi$
$857$	−5.14536	+	8.91203i	−0.175762	+	0.304429i	0.764663	+	0.644431i	$0.222906\pi$
$858$	−17.0269	−	8.20506i	−0.581289	−	0.280116i
$859$	−11.4540	−	19.8389i	−0.390805	−	0.676894i	0.601751	−	0.798684i	$-0.294470\pi$
$859$	−11.4540	−	19.8389i	−0.390805	−	0.676894i	−0.992556	+	0.121790i	$0.961137\pi$
$860$	−0.819485	+	0.819485i	−0.0279442	+	0.0279442i
$861$	7.83982	−	2.62813i	0.267180	−	0.0895665i
$862$		−	10.5821i		−	0.360427i
$863$	15.4623	+	4.14311i	0.526343	+	0.141033i	0.512199	−	0.858867i	$-0.328831\pi$
$863$	15.4623	+	4.14311i	0.526343	+	0.141033i	0.0141440	+	0.999900i	$0.495498\pi$
$864$	−20.4687	−	20.2899i	−0.696360	−	0.690277i
$865$	−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
$870$	−1.40302	+	3.87237i	−0.0475668	+	0.131286i
$871$	28.4334	+	10.8080i	0.963429	+	0.366215i
$872$	4.38883	+	2.53389i	0.148624	+	0.0858084i
$873$	8.36284	+	3.86992i	0.283039	+	0.130977i
$874$	−0.371733			−0.0125740
$875$	−2.35421	−	15.8492i	−0.0795868	−	0.535800i
$876$	−0.452064	+	5.25562i	−0.0152738	+	0.177571i
$877$	7.08345	−	26.4358i	0.239191	−	0.892673i	−0.737024	−	0.675867i	$-0.763769\pi$
$877$	7.08345	−	26.4358i	0.239191	−	0.892673i	0.976215	−	0.216806i	$-0.0695640\pi$
$878$	−4.72982	+	1.26735i	−0.159624	+	0.0427710i
$879$	−23.2403	−	16.2225i	−0.783877	−	0.547170i
$880$	3.14509	+	5.44746i	0.106021	+	0.183634i
$881$	55.4617			1.86855			0.934276	−	0.356552i	$-0.116048\pi$
$881$	55.4617			1.86855			0.934276	+	0.356552i	$0.116048\pi$
$882$	4.72715	+	11.6618i	0.159171	+	0.392675i
$883$		−	42.8192i		−	1.44098i	−0.693465	−	0.720490i	$-0.743917\pi$
$883$		−	42.8192i		−	1.44098i	0.693465	−	0.720490i	$-0.256083\pi$
$884$	−16.5065	−	1.68034i	−0.555173	−	0.0565160i
$885$	−5.33907	+	0.949474i	−0.179471	+	0.0319162i
$886$	10.4254	−	2.79348i	0.350249	−	0.0938489i
$887$	−47.3202	+	27.3203i	−1.58886	+	0.917326i	−0.595360	+	0.803459i	$0.702991\pi$
$887$	−47.3202	+	27.3203i	−1.58886	+	0.917326i	−0.993496	+	0.113867i	$0.963676\pi$
$888$	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
$891$	25.8552	−	37.3886i	0.866182	−	1.25257i
$892$	11.7654	+	43.9092i	0.393936	+	1.47019i
$893$	−35.0331	−	20.2264i	−1.17234	−	0.676850i
$894$	14.9181	+	5.40504i	0.498935	+	0.180772i
$895$	−2.37318	+	2.37318i	−0.0793266	+	0.0793266i
$896$	23.7624	−	18.8669i	0.793847	−	0.630298i
$897$	−0.0881727	−	1.18061i	−0.00294400	−	0.0394194i
$898$	0.754984	+	1.30767i	0.0251942	+	0.0436376i
$899$	−7.85509	−	29.3156i	−0.261982	−	0.977729i
$900$	17.3979	+	14.5121i	0.579931	+	0.483737i
$901$	−32.9245	+	19.0090i	−1.09687	+	0.633280i
$902$	−3.86149	+	3.86149i	−0.128573	+	0.128573i
$903$	−2.28706	+	4.59369i	−0.0761087	+	0.152868i
$904$	−3.83226	+	3.83226i	−0.127459	+	0.127459i
$905$	1.81281	−	6.76549i	0.0602597	−	0.224892i
$906$	−0.976070	−	5.48863i	−0.0324278	−	0.182347i
$907$	−39.4627	−	22.7838i	−1.31034	−	0.756523i	−0.328184	−	0.944614i	$-0.606437\pi$
$907$	−39.4627	−	22.7838i	−1.31034	−	0.756523i	−0.982152	+	0.188091i	$0.939770\pi$
$908$	−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	$0.993483\pi$
$912$	10.1363	−	4.74469i	0.335647	−	0.157113i
$913$	−21.7399	+	37.6546i	−0.719485	+	1.24618i
$914$	0.664547	−	1.15103i	0.0219813	−	0.0380727i
$915$	3.10252	+	6.62805i	0.102566	+	0.219117i
$916$	16.0252	+	16.0252i	0.529489	+	0.529489i
$917$	−20.4003	−	2.34277i	−0.673676	−	0.0773650i
$918$	−2.22288	+	8.44388i	−0.0733658	+	0.278690i
$919$	1.23203	+	2.13394i	0.0406410	+	0.0703922i	0.885630	−	0.464391i	$-0.153727\pi$
$919$	1.23203	+	2.13394i	0.0406410	+	0.0703922i	−0.844989	+	0.534783i	$0.820393\pi$
$920$	0.130429	−	0.225909i	0.00430011	−	0.00744800i
$921$	−1.71439	+	2.45604i	−0.0564910	+	0.0809291i
$922$	−3.38045	+	1.95171i	−0.111329	+	0.0642760i
$923$	−30.1351	+	4.87401i	−0.991910	+	0.160430i
$924$	28.4605	+	25.1508i	0.936281	+	0.827402i
$925$	−18.0875	−	18.0875i	−0.594714	−	0.594714i
$926$	−7.78239	+	4.49317i	−0.255745	+	0.147655i
$927$	−31.8108	+	38.1366i	−1.04480	+	1.25257i
$928$	33.7104	−	9.03267i	1.10660	−	0.296512i
$929$	2.48236	+	0.665147i	0.0814436	+	0.0218228i	0.299311	−	0.954156i	$-0.403243\pi$
$929$	2.48236	+	0.665147i	0.0814436	+	0.0218228i	−0.217867	+	0.975978i	$0.569910\pi$
$930$	−3.14579	−	0.270586i	−0.103154	−	0.00887286i
$931$	−22.8942	+	0.758557i	−0.750328	+	0.0248607i
$932$		−	28.9986i		−	0.949880i
$933$	17.1656	−	47.3775i	0.561976	−	1.55107i
$934$	−6.63955	−	24.7791i	−0.217253	−	0.810798i
$935$	4.46671	−	7.73657i	0.146077	−	0.253013i
$936$	−11.5685	−	20.5687i	−0.378129	−	0.672308i
$937$	−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	0.831196	+	0.555979i	$0.187657\pi$
$941$	11.9436	+	44.5740i	0.389349	+	1.45307i	−0.441848	+	0.897090i	$0.645677\pi$
$942$	−5.25194	+	7.52394i	−0.171118	+	0.245143i
$943$	−0.330406	−	0.0885322i	−0.0107595	−	0.00288300i
$944$	6.93106	+	6.93106i	0.225587	+	0.225587i
$945$	−8.07846	−	3.14963i	−0.262792	−	0.102457i
$946$		−	3.38910i		−	0.110189i
$947$	−12.6034	+	47.0367i	−0.409557	+	1.52849i	0.385937	+	0.922525i	$0.373878\pi$
$947$	−12.6034	+	47.0367i	−0.409557	+	1.52849i	−0.795494	+	0.605962i	$0.792788\pi$
$948$	−4.79747	−	26.9770i	−0.155814	−	0.876174i
$949$	−2.37768	+	6.25513i	−0.0771828	+	0.203050i
$950$	7.81531	−	4.51217i	0.253562	−	0.146394i
$951$	3.99198	+	0.343372i	0.129449	+	0.0111346i
$952$	−15.0556	−	5.94609i	−0.487955	−	0.192714i
$953$	−32.5663			−1.05493			−0.527463	−	0.849578i	$-0.676857\pi$
$953$	−32.5663			−1.05493			−0.527463	+	0.849578i	$0.676857\pi$
$954$	−22.1172	−	10.2348i	−0.716070	−	0.331363i
$955$	5.13949	−	1.37712i	0.166310	−	0.0445626i
$956$	−22.8698	+	6.12794i	−0.739661	+	0.198192i
$957$	23.3360	+	49.8537i	0.754344	+	1.61154i
$958$	−11.3969			−0.368216
$959$	−43.4543	−	17.1619i	−1.40321	−	0.554187i
$960$	−0.0585626	+	0.680838i	−0.00189010	+	0.0219740i
$961$	−6.69775	+	3.86695i	−0.216057	+	0.124740i
$962$	4.92006	+	10.9541i	0.158629	+	0.353174i
$963$	27.2258	−	32.6398i	0.877340	−	1.05180i
$964$	−7.18023	+	26.7970i	−0.231259	+	0.863072i
$965$			0.530093i			0.0170643i
$966$	0.103493	−	0.510172i	0.00332984	−	0.0164145i
$967$	2.34218	+	2.34218i	0.0753193	+	0.0753193i	0.743763	−	0.668444i	$-0.233039\pi$
$967$	2.34218	+	2.34218i	0.0753193	+	0.0753193i	−0.668444	+	0.743763i	$0.733039\pi$
$968$	−30.5802	−	8.19393i	−0.982884	−	0.263363i
$969$	−13.0336	−	9.09783i	−0.418699	−	0.292265i
$970$	0.300449	+	1.12129i	0.00964683	+	0.0360024i
$971$	−42.3396	+	24.4448i	−1.35874	+	0.784471i	−0.989454	−	0.144844i	$-0.953732\pi$
$971$	−42.3396	+	24.4448i	−1.35874	+	0.784471i	−0.369289	+	0.929315i	$0.620399\pi$
$972$	23.9725	−	8.92430i	0.768918	−	0.286247i
$973$	−19.5907	−	14.5235i	−0.628050	−	0.465601i
$974$	−25.2090			−0.807749
$975$	16.1842	+	23.7509i	0.518310	+	0.760637i
$976$	6.61401	−	11.4558i	0.211709	−	0.366691i
$977$	7.05602	+	26.3334i	0.225742	+	0.842481i	0.982106	+	0.188330i	$0.0603074\pi$
$977$	7.05602	+	26.3334i	0.225742	+	0.842481i	−0.756364	+	0.654151i	$0.773026\pi$
$978$	−15.8755	−	5.75195i	−0.507644	−	0.183927i
$979$		−	34.7034i		−	1.10913i
$980$	3.41257	−	6.39055i	0.109010	−	0.204139i
$981$	−5.69660	+	4.01368i	−0.181878	+	0.128147i
$982$	17.6368	+	4.72576i	0.562812	+	0.150805i
$983$	16.5729	−	4.44069i	0.528592	−	0.141636i	0.0153541	−	0.999882i	$-0.495112\pi$
$983$	16.5729	−	4.44069i	0.528592	−	0.141636i	0.513238	+	0.858246i	$0.328446\pi$
$984$	−6.71303	+	1.19381i	−0.214004	+	0.0380573i
$985$	−5.72734	+	3.30668i	−0.182488	+	0.105360i
$986$	−7.47633	−	7.47633i	−0.238095	−	0.238095i
$987$	37.5125	−	42.4489i	1.19404	−	1.35116i
$988$	19.1128	−	3.09127i	0.608059	−	0.0983464i
$989$	0.183844	−	0.106143i	0.00584591	−	0.00337514i
$990$	5.70328	−	0.515783i	0.181262	−	0.0163927i
$991$	17.8267	−	30.8767i	0.566283	−	0.980830i	−0.430646	−	0.902521i	$-0.641714\pi$
$991$	17.8267	−	30.8767i	0.566283	−	0.980830i	0.996929	−	0.0783096i	$-0.0249523\pi$
$992$	13.3770	+	23.1697i	0.424720	+	0.735637i
$993$	−3.14847	+	36.6036i	−0.0999137	+	1.16158i
$994$	−13.3351	−	1.53140i	−0.422963	−	0.0485731i
$995$	0.0474530	+	0.0474530i	0.00150436	+	0.00150436i
$996$	−22.1593	+	10.3725i	−0.702143	+	0.328666i
$997$	−1.77915	+	3.08158i	−0.0563463	+	0.0975946i	−0.892823	−	0.450408i	$-0.851278\pi$
$997$	−1.77915	+	3.08158i	−0.0563463	+	0.0975946i	0.836476	+	0.548003i	$0.184612\pi$
$998$	5.43331	−	9.41077i	0.171989	−	0.297893i
$999$	−27.8637	+	7.59721i	−0.881567	+	0.240365i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.cd.e.242.16	yes	112
3.2	odd	2	inner	273.2.cd.e.242.13	yes	112
7.2	even	3	inner	273.2.cd.e.86.13	yes	112
13.5	odd	4	inner	273.2.cd.e.200.16	yes	112
21.2	odd	6	inner	273.2.cd.e.86.16	yes	112
39.5	even	4	inner	273.2.cd.e.200.13	yes	112
91.44	odd	12	inner	273.2.cd.e.44.13	✓	112
273.44	even	12	inner	273.2.cd.e.44.16	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.cd.e.44.13	✓	112	91.44	odd	12	inner
273.2.cd.e.44.16	yes	112	273.44	even	12	inner
273.2.cd.e.86.13	yes	112	7.2	even	3	inner
273.2.cd.e.86.16	yes	112	21.2	odd	6	inner
273.2.cd.e.200.13	yes	112	39.5	even	4	inner
273.2.cd.e.200.16	yes	112	13.5	odd	4	inner
273.2.cd.e.242.13	yes	112	3.2	odd	2	inner
273.2.cd.e.242.16	yes	112	1.1	even	1	trivial

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)

\(f(q)\)	\(=\)	\(q+(0.578797 + 0.155088i) q^{2} +(-1.70530 + 0.303261i) q^{3} +(-1.42110 - 0.820471i) q^{4} +(0.609213 + 0.163238i) q^{5} +(-1.03405 - 0.0889444i) q^{6} +(2.12540 + 1.57565i) q^{7} +(-1.54270 - 1.54270i) q^{8} +(2.81607 - 1.03430i) q^{9} +O(q^{10})\)	\(q+(0.578797 + 0.155088i) q^{2} +(-1.70530 + 0.303261i) q^{3} +(-1.42110 - 0.820471i) q^{4} +(0.609213 + 0.163238i) q^{5} +(-1.03405 - 0.0889444i) q^{6} +(2.12540 + 1.57565i) q^{7} +(-1.54270 - 1.54270i) q^{8} +(2.81607 - 1.03430i) q^{9} +(0.327294 + 0.188963i) q^{10} +(4.87875 - 1.30726i) q^{11} +(2.67221 + 0.968182i) q^{12} +(2.92387 + 2.10974i) q^{13} +(0.985809 + 1.24161i) q^{14} +(-1.08839 - 0.0936184i) q^{15} +(0.987288 + 1.71003i) q^{16} +(1.40216 - 2.42862i) q^{17} +(1.79034 - 0.161911i) q^{18} +(-0.846959 + 3.16090i) q^{19} +(-0.731818 - 0.731818i) q^{20} +(-4.10227 - 2.04240i) q^{21} +3.02654 q^{22} +(0.0947877 + 0.164177i) q^{23} +(3.09860 + 2.16292i) 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} +(-0.615438 - 0.222983i) q^{30} +(4.65914 - 1.24841i) q^{31} +(1.43557 + 5.35761i) q^{32} +(-7.92327 + 3.70879i) 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} +(-5.62586 - 2.71103i) q^{39} +(-0.688004 - 1.19166i) q^{40} +(-1.27587 + 1.27587i) q^{41} +(-2.05763 - 1.81835i) q^{42} -1.11979i q^{43} +(-8.00574 - 2.14513i) q^{44} +(1.88442 - 0.170420i) 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} +(-1.65459 + 4.56673i) q^{51} +(-2.42412 - 5.39709i) q^{52} +(-11.7406 - 6.77845i) q^{53} +(-3.00395 + 0.819047i) q^{54} +3.18559 q^{55} +(-0.848096 - 5.70961i) q^{56} +(0.485739 - 5.64711i) q^{57} +(0.975824 - 3.64182i) q^{58} +(4.79496 - 1.28481i) q^{59} +(1.46990 + 1.02603i) q^{60} +(-3.34959 - 5.80165i) q^{61} +2.89031 q^{62} +(7.61496 + 2.23884i) q^{63} -0.625545i q^{64} +(1.43687 + 1.76257i) q^{65} +(-5.16115 + 0.917833i) 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} +(-5.93995 - 2.74873i) q^{72} +(0.480360 + 1.79273i) q^{73} +(2.88430 + 1.66525i) q^{74} +(7.49452 + 2.71538i) q^{75} +(3.79704 - 3.79704i) q^{76} +(12.4291 + 4.90876i) q^{77} +(-2.83578 - 2.44164i) q^{78} +(-4.82027 - 8.34896i) q^{79} +(0.322326 + 1.20294i) q^{80} +(6.86045 - 5.82531i) q^{81} +(-0.936345 + 0.540599i) q^{82} +(-6.08706 + 6.08706i) q^{83} +(4.15399 + 6.26824i) q^{84} +(1.25066 - 1.25066i) q^{85} +(0.173667 - 0.648132i) q^{86} +(1.90814 + 10.7298i) 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} +(-7.56661 + 3.54185i) q^{93} +(-3.70368 + 6.41497i) q^{94} +(-1.03196 + 1.78740i) q^{95} +(-4.07282 - 8.70095i) q^{96} +(2.17196 + 2.17196i) q^{97} +(0.138901 + 4.19220i) q^{98} +(12.3868 - 8.72741i) 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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