LMFDB - Embedded newform 67.2.e.a.25.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [67,2,Mod(9,67)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("67.9"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(67, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([4])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	67.e (of order $11$, degree $10$, minimal)

Newform invariants

comment:select newform

sage:traces = [10,-6] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(2)] == traces)

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

Self dual:	no
Analytic conductor:	$0.534997693543$
Analytic rank:	$0$
Dimension:	$10$
Coefficient field:	$\Q(\zeta_{22})$
comment:defining polynomial gp:f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 $ x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			25.1
Root			$0.654861 - 0.755750i$ of defining polynomial
Character	$\chi$	$=$	67.25
Dual form			67.2.e.a.59.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.220047 + 1.53046i) q^{2} +(-1.10181 + 1.27155i) q^{3} +(-0.374908 + 0.110083i) q^{4} +(-0.601808 + 0.386758i) q^{5} +(-2.18852 - 1.40647i) q^{6} +(-0.391340 - 2.72183i) q^{7} +(1.03365 + 2.26339i) q^{8} +(0.0240754 + 0.167448i) q^{9} +(-0.724345 - 0.835939i) q^{10} +(3.38745 - 2.17698i) q^{11} +(0.273100 - 0.598006i) q^{12} +(0.379997 - 0.832078i) q^{13} +(4.07954 - 1.19786i) q^{14} +(0.171292 - 1.19136i) q^{15} +(-3.89399 + 2.50252i) q^{16} +(-0.709677 - 0.208380i) q^{17} +(-0.250975 + 0.0736930i) q^{18} +(0.962460 - 6.69406i) q^{19} +(0.183047 - 0.211248i) q^{20} +(3.89213 + 2.50132i) q^{21} +(4.07719 + 4.70533i) q^{22} +(-1.79930 + 2.07650i) q^{23} +(-4.01691 - 1.17947i) q^{24} +(-1.86448 + 4.08265i) q^{25} +(1.35708 + 0.398475i) q^{26} +(-4.48569 - 2.88278i) q^{27} +(0.446343 + 0.977355i) q^{28} -2.93631 q^{29} +1.86103 q^{30} +(-1.93203 - 4.23056i) q^{31} +(-1.42796 - 1.64795i) q^{32} +(-0.964170 + 6.70595i) q^{33} +(0.162755 - 1.13199i) q^{34} +(1.28820 + 1.48666i) q^{35} +(-0.0274592 - 0.0601273i) q^{36} -9.21113 q^{37} +10.4568 q^{38} +(0.639348 + 1.39998i) q^{39} +(-1.49745 - 0.962350i) q^{40} +(5.27001 + 1.54741i) q^{41} +(-2.97172 + 6.50717i) q^{42} +(8.65000 + 2.53987i) q^{43} +(-1.03033 + 1.18907i) q^{44} +(-0.0792507 - 0.0914602i) q^{45} +(-3.57394 - 2.29683i) q^{46} +(-7.37858 + 8.51533i) q^{47} +(1.10835 - 7.70871i) q^{48} +(-0.538744 + 0.158189i) q^{49} +(-6.65862 - 1.95515i) q^{50} +(1.04689 - 0.672798i) q^{51} +(-0.0508664 + 0.353784i) q^{52} +(7.29917 - 2.14323i) q^{53} +(3.42492 - 7.49953i) q^{54} +(-1.19663 + 2.62025i) q^{55} +(5.75604 - 3.69918i) q^{56} +(7.45141 + 8.59938i) q^{57} +(-0.646126 - 4.49391i) q^{58} +(-4.81136 - 10.5354i) q^{59} +(0.0669300 + 0.465508i) q^{60} +(1.10485 + 0.710043i) q^{61} +(6.04958 - 3.88783i) q^{62} +(0.446343 - 0.131058i) q^{63} +(-3.85452 + 4.44835i) q^{64} +(0.0931278 + 0.647718i) q^{65} -10.4754 q^{66} +(6.96951 - 4.29254i) q^{67} +0.289003 q^{68} +(-0.657902 - 4.57581i) q^{69} +(-1.99182 + 2.29868i) q^{70} +(0.936107 - 0.274866i) q^{71} +(-0.354114 + 0.227575i) q^{72} +(2.98021 + 1.91527i) q^{73} +(-2.02688 - 14.0973i) q^{74} +(-3.13701 - 6.86909i) q^{75} +(0.376067 + 2.61561i) q^{76} +(-7.25102 - 8.36812i) q^{77} +(-2.00192 + 1.28656i) q^{78} +(-4.62643 + 10.1305i) q^{79} +(1.37557 - 3.01207i) q^{80} +(8.12103 - 2.38455i) q^{81} +(-1.20861 + 8.40605i) q^{82} +(-12.0339 + 7.73373i) q^{83} +(-1.73454 - 0.509308i) q^{84} +(0.507682 - 0.149069i) q^{85} +(-1.98377 + 13.7974i) q^{86} +(3.23525 - 3.73367i) q^{87} +(8.42882 + 5.41687i) q^{88} +(4.71282 + 5.43888i) q^{89} +(0.122537 - 0.141416i) q^{90} +(-2.41348 - 0.708662i) q^{91} +(0.445984 - 0.976569i) q^{92} +(7.50812 + 2.20458i) q^{93} +(-14.6560 - 9.41886i) q^{94} +(2.00977 + 4.40077i) q^{95} +3.66880 q^{96} +2.34638 q^{97} +(-0.360652 - 0.789718i) q^{98} +(0.446086 + 0.514811i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q - 6 q^{2} - 2 q^{3} + 10 q^{4} + 3 q^{5} - 12 q^{6} + 6 q^{8} - q^{9} - 15 q^{10} + 15 q^{11} - 2 q^{12} - 18 q^{13} + 6 q^{15} - 6 q^{16} - 26 q^{17} - 6 q^{18} - q^{19} + 25 q^{20} + 11 q^{21}+ \cdots + 15 q^{99}+O(q^{100}) $ 10 * q - 6 * q^2 - 2 * q^3 + 10 * q^4 + 3 * q^5 - 12 * q^6 + 6 * q^8 - q^9 - 15 * q^10 + 15 * q^11 - 2 * q^12 - 18 * q^13 + 6 * q^15 - 6 * q^16 - 26 * q^17 - 6 * q^18 - q^19 + 25 * q^20 + 11 * q^21 - 9 * q^22 - 6 * q^23 + q^24 - 4 * q^25 + 24 * q^26 - 29 * q^27 + 11 * q^28 + 28 * q^29 - 8 * q^30 - 10 * q^31 - 4 * q^32 + 8 * q^33 + 64 * q^34 - q^36 - 22 * q^37 - 6 * q^38 + 8 * q^39 - 18 * q^40 + 9 * q^41 + 11 * q^42 + 21 * q^43 + 48 * q^44 + 3 * q^45 - 25 * q^46 - 22 * q^47 - 12 * q^48 + 7 * q^49 - 35 * q^50 + 3 * q^51 - 62 * q^52 + 20 * q^53 + 13 * q^54 - 23 * q^55 - 11 * q^56 + 9 * q^57 - 8 * q^58 - 17 * q^59 + 17 * q^60 + 13 * q^61 + 50 * q^62 + 11 * q^63 + 10 * q^64 + 10 * q^65 - 62 * q^66 + 23 * q^67 - 114 * q^68 - 12 * q^69 + 11 * q^70 + q^71 - 16 * q^72 - 18 * q^73 + 22 * q^74 + 14 * q^75 + 21 * q^76 - 22 * q^77 + 37 * q^78 + 5 * q^79 + 18 * q^80 + 11 * q^81 - 12 * q^82 - 12 * q^83 - 11 * q^84 + 23 * q^85 - 61 * q^86 - 10 * q^87 - 2 * q^88 + 51 * q^89 + 18 * q^90 - 11 * q^91 + 38 * q^92 + 13 * q^93 + 11 * q^94 + 3 * q^95 - 8 * q^96 - 10 * q^97 - 2 * q^98 + 15 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/67\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{5}{11}\right)$

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 $

$2$	0.220047	+	1.53046i	0.155597	+	1.08220i	0.906627	+	0.421933i	$0.138648\pi$
$2$	0.220047	+	1.53046i	0.155597	+	1.08220i	−0.751030	+	0.660268i	$0.770443\pi$
$3$	−1.10181	+	1.27155i	−0.636129	+	0.734132i	−0.978685	−	0.205365i	$-0.934162\pi$
$3$	−1.10181	+	1.27155i	−0.636129	+	0.734132i	0.342556	+	0.939497i	$0.388707\pi$
$4$	−0.374908	+	0.110083i	−0.187454	+	0.0550415i
$5$	−0.601808	+	0.386758i	−0.269137	+	0.172964i	−0.668247	−	0.743939i	$-0.732955\pi$
$5$	−0.601808	+	0.386758i	−0.269137	+	0.172964i	0.399111	+	0.916903i	$0.369319\pi$
$6$	−2.18852	−	1.40647i	−0.893458	−	0.574190i
$7$	−0.391340	−	2.72183i	−0.147912	−	1.02875i	−0.919629	−	0.392787i	$-0.871511\pi$
$7$	−0.391340	−	2.72183i	−0.147912	−	1.02875i	0.771717	−	0.635966i	$-0.219398\pi$
$8$	1.03365	+	2.26339i	0.365452	+	0.800228i
$9$	0.0240754	+	0.167448i	0.00802513	+	0.0558160i
$10$	−0.724345	−	0.835939i	−0.229058	−	0.264347i
$11$	3.38745	−	2.17698i	1.02136	−	0.656386i	0.0810478	−	0.996710i	$-0.474173\pi$
$11$	3.38745	−	2.17698i	1.02136	−	0.656386i	0.940308	+	0.340325i	$0.110537\pi$
$12$	0.273100	−	0.598006i	0.0788372	−	0.172629i
$13$	0.379997	−	0.832078i	0.105392	−	0.230777i	−0.849588	−	0.527448i	$-0.823149\pi$
$13$	0.379997	−	0.832078i	0.105392	−	0.230777i	0.954980	+	0.296671i	$0.0958764\pi$
$14$	4.07954	−	1.19786i	1.09030	−	0.320142i
$15$	0.171292	−	1.19136i	0.0442275	−	0.307609i
$16$	−3.89399	+	2.50252i	−0.973498	+	0.625629i
$17$	−0.709677	−	0.208380i	−0.172122	−	0.0505396i	0.194536	−	0.980895i	$-0.437680\pi$
$17$	−0.709677	−	0.208380i	−0.172122	−	0.0505396i	−0.366658	+	0.930356i	$0.619498\pi$
$18$	−0.250975	+	0.0736930i	−0.0591554	+	0.0173696i
$19$	0.962460	−	6.69406i	0.220803	−	1.53572i	−0.514207	−	0.857666i	$-0.671914\pi$
$19$	0.962460	−	6.69406i	0.220803	−	1.53572i	0.735011	−	0.678056i	$-0.237177\pi$
$20$	0.183047	−	0.211248i	0.0409306	−	0.0472364i
$21$	3.89213	+	2.50132i	0.849333	+	0.545833i
$22$	4.07719	+	4.70533i	0.869260	+	1.00318i
$23$	−1.79930	+	2.07650i	−0.375180	+	0.432980i	−0.911668	−	0.410927i	$-0.865205\pi$
$23$	−1.79930	+	2.07650i	−0.375180	+	0.432980i	0.536489	+	0.843908i	$0.319750\pi$
$24$	−4.01691	−	1.17947i	−0.819948	−	0.240758i
$25$	−1.86448	+	4.08265i	−0.372897	+	0.816530i
$26$	1.35708	+	0.398475i	0.266145	+	0.0781474i
$27$	−4.48569	−	2.88278i	−0.863272	−	0.554791i
$28$	0.446343	+	0.977355i	0.0843509	+	0.184703i
$29$	−2.93631			−0.545258			−0.272629	−	0.962119i	$-0.587893\pi$
$29$	−2.93631			−0.545258			−0.272629	+	0.962119i	$0.587893\pi$
$30$	1.86103			0.339776
$31$	−1.93203	−	4.23056i	−0.347004	−	0.759832i	−0.999997	−	0.00246813i	$-0.999214\pi$
$31$	−1.93203	−	4.23056i	−0.347004	−	0.759832i	0.652993	−	0.757364i	$-0.273513\pi$
$32$	−1.42796	−	1.64795i	−0.252430	−	0.291320i
$33$	−0.964170	+	6.70595i	−0.167840	+	1.16736i
$34$	0.162755	−	1.13199i	0.0279123	−	0.194134i
$35$	1.28820	+	1.48666i	0.217746	+	0.251292i
$36$	−0.0274592	−	0.0601273i	−0.00457654	−	0.0100212i
$37$	−9.21113			−1.51430			−0.757150	−	0.653241i	$-0.773409\pi$
$37$	−9.21113			−1.51430			−0.757150	+	0.653241i	$0.773409\pi$
$38$	10.4568			1.69631
$39$	0.639348	+	1.39998i	0.102378	+	0.224176i
$40$	−1.49745	−	0.962350i	−0.236767	−	0.152161i
$41$	5.27001	+	1.54741i	0.823037	+	0.241665i	0.666023	−	0.745931i	$-0.267995\pi$
$41$	5.27001	+	1.54741i	0.823037	+	0.241665i	0.157013	+	0.987596i	$0.449813\pi$
$42$	−2.97172	+	6.50717i	−0.458547	+	1.00408i
$43$	8.65000	+	2.53987i	1.31911	+	0.387327i	0.864173	−	0.503195i	$-0.167842\pi$
$43$	8.65000	+	2.53987i	1.31911	+	0.387327i	0.454940	+	0.890522i	$0.349661\pi$
$44$	−1.03033	+	1.18907i	−0.155329	+	0.179259i
$45$	−0.0792507	−	0.0914602i	−0.0118140	−	0.0136341i
$46$	−3.57394	−	2.29683i	−0.526948	−	0.338649i
$47$	−7.37858	+	8.51533i	−1.07628	+	1.24209i	−0.107486	+	0.994207i	$0.534280\pi$
$47$	−7.37858	+	8.51533i	−1.07628	+	1.24209i	−0.968790	+	0.247882i	$0.920265\pi$
$48$	1.10835	−	7.70871i	0.159976	−	1.11266i
$49$	−0.538744	+	0.158189i	−0.0769634	+	0.0225985i
$50$	−6.65862	−	1.95515i	−0.941671	−	0.276500i
$51$	1.04689	−	0.672798i	0.146594	−	0.0942106i
$52$	−0.0508664	+	0.353784i	−0.00705391	+	0.0490610i
$53$	7.29917	−	2.14323i	1.00262	−	0.294395i	0.261088	−	0.965315i	$-0.415919\pi$
$53$	7.29917	−	2.14323i	1.00262	−	0.294395i	0.741530	+	0.670920i	$0.234100\pi$
$54$	3.42492	−	7.49953i	0.466073	−	1.02056i
$55$	−1.19663	+	2.62025i	−0.161353	+	0.353315i
$56$	5.75604	−	3.69918i	0.769183	−	0.494324i
$57$	7.45141	+	8.59938i	0.986963	+	1.13902i
$58$	−0.646126	−	4.49391i	−0.0848405	−	0.590079i
$59$	−4.81136	−	10.5354i	−0.626385	−	1.37159i	−0.910783	−	0.412886i	$-0.864521\pi$
$59$	−4.81136	−	10.5354i	−0.626385	−	1.37159i	0.284397	−	0.958707i	$-0.408207\pi$
$60$	0.0669300	+	0.465508i	0.00864063	+	0.0600969i
$61$	1.10485	+	0.710043i	0.141461	+	0.0909117i	0.609457	−	0.792819i	$-0.291387\pi$
$61$	1.10485	+	0.710043i	0.141461	+	0.0909117i	−0.467996	+	0.883731i	$0.655024\pi$
$62$	6.04958	−	3.88783i	0.768297	−	0.493755i
$63$	0.446343	−	0.131058i	0.0562339	−	0.0165118i
$64$	−3.85452	+	4.44835i	−0.481815	+	0.556044i
$65$	0.0931278	+	0.647718i	0.0115511	+	0.0803395i
$66$	−10.4754			−1.28943
$67$	6.96951	−	4.29254i	0.851461	−	0.524417i
$67$	6.96951	−	4.29254i	0.851461	−	0.524417i
$68$	0.289003			0.0350467
$69$	−0.657902	−	4.57581i	−0.0792021	−	0.550863i
$70$	−1.99182	+	2.29868i	−0.238068	+	0.274745i
$71$	0.936107	−	0.274866i	0.111095	−	0.0326206i	−0.225712	−	0.974194i	$-0.572471\pi$
$71$	0.936107	−	0.274866i	0.111095	−	0.0326206i	0.336808	+	0.941573i	$0.390653\pi$
$72$	−0.354114	+	0.227575i	−0.0417328	+	0.0268200i
$73$	2.98021	+	1.91527i	0.348807	+	0.224165i	0.703299	−	0.710894i	$-0.251710\pi$
$73$	2.98021	+	1.91527i	0.348807	+	0.224165i	−0.354491	+	0.935059i	$0.615346\pi$
$74$	−2.02688	−	14.0973i	−0.235621	−	1.63878i
$75$	−3.13701	−	6.86909i	−0.362231	−	0.793174i
$76$	0.376067	+	2.61561i	0.0431379	+	0.300030i
$77$	−7.25102	−	8.36812i	−0.826330	−	0.953636i
$78$	−2.00192	+	1.28656i	−0.226673	+	0.145674i
$79$	−4.62643	+	10.1305i	−0.520514	+	1.13977i	0.448731	+	0.893667i	$0.351876\pi$
$79$	−4.62643	+	10.1305i	−0.520514	+	1.13977i	−0.969245	+	0.246100i	$0.920851\pi$
$80$	1.37557	−	3.01207i	0.153793	−	0.336759i
$81$	8.12103	−	2.38455i	0.902336	−	0.264950i
$82$	−1.20861	+	8.40605i	−0.133468	+	0.928293i
$83$	−12.0339	+	7.73373i	−1.32089	+	0.848887i	−0.995320	−	0.0966300i	$-0.969194\pi$
$83$	−12.0339	+	7.73373i	−1.32089	+	0.848887i	−0.325573	+	0.945517i	$0.605557\pi$
$84$	−1.73454	−	0.509308i	−0.189254	−	0.0555701i
$85$	0.507682	−	0.149069i	0.0550658	−	0.0161688i
$86$	−1.98377	+	13.7974i	−0.213915	+	1.48781i
$87$	3.23525	−	3.73367i	0.346855	−	0.400292i
$88$	8.42882	+	5.41687i	0.898515	+	0.577440i
$89$	4.71282	+	5.43888i	0.499557	+	0.576520i	0.948394	−	0.317094i	$-0.102707\pi$
$89$	4.71282	+	5.43888i	0.499557	+	0.576520i	−0.448837	+	0.893614i	$0.648162\pi$
$90$	0.122537	−	0.141416i	0.0129166	−	0.0149065i
$91$	−2.41348	−	0.708662i	−0.253001	−	0.0742879i
$92$	0.445984	−	0.976569i	0.0464970	−	0.101814i
$93$	7.50812	+	2.20458i	0.778556	+	0.228605i
$94$	−14.6560	−	9.41886i	−1.51165	−	0.971481i
$95$	2.00977	+	4.40077i	0.206198	+	0.451510i
$96$	3.66880			0.374446
$97$	2.34638			0.238239			0.119119	−	0.992880i	$-0.461993\pi$
$97$	2.34638			0.238239			0.119119	+	0.992880i	$0.461993\pi$
$98$	−0.360652	−	0.789718i	−0.0364314	−	0.0797735i
$99$	0.446086	+	0.514811i	0.0448333	+	0.0517404i
$100$	0.249580	−	1.73587i	0.0249580	−	0.173587i
$101$	−2.50142	+	17.3978i	−0.248901	+	1.73114i	0.355688	+	0.934605i	$0.384246\pi$
$101$	−2.50142	+	17.3978i	−0.248901	+	1.73114i	−0.604589	+	0.796538i	$0.706663\pi$
$102$	1.26006	+	1.45418i	0.124764	+	0.143986i
$103$	4.95797	+	10.8565i	0.488524	+	1.06972i	0.980031	+	0.198844i	$0.0637188\pi$
$103$	4.95797	+	10.8565i	0.488524	+	1.06972i	−0.491507	+	0.870873i	$0.663554\pi$
$104$	2.27610			0.223190
$105$	−3.30972			−0.322996
$106$	4.88629	+	10.6995i	0.474599	+	1.03923i
$107$	−2.12020	−	1.36257i	−0.204967	−	0.131724i	0.434130	−	0.900850i	$-0.357056\pi$
$107$	−2.12020	−	1.36257i	−0.204967	−	0.131724i	−0.639098	+	0.769126i	$0.720692\pi$
$108$	1.99907	+	0.586979i	0.192360	+	0.0564821i
$109$	6.07430	−	13.3009i	0.581812	−	1.27399i	−0.358453	−	0.933548i	$-0.616696\pi$
$109$	6.07430	−	13.3009i	0.581812	−	1.27399i	0.940265	−	0.340443i	$-0.110577\pi$
$110$	−4.27351	−	1.25482i	−0.407463	−	0.119642i
$111$	10.1489	−	11.7125i	0.963291	−	1.11170i
$112$	8.33529	+	9.61944i	0.787611	+	0.908951i
$113$	−14.0802	−	9.04880i	−1.32455	−	0.851239i	−0.328900	−	0.944365i	$-0.606678\pi$
$113$	−14.0802	−	9.04880i	−1.32455	−	0.851239i	−0.995654	+	0.0931256i	$0.970314\pi$
$114$	−11.5214	+	13.2964i	−1.07907	+	1.24532i
$115$	0.279728	−	1.94555i	0.0260847	−	0.181423i
$116$	1.10084	−	0.323237i	0.102211	−	0.0300118i
$117$	0.148478	+	0.0435972i	0.0137268	+	0.00403056i
$118$	15.0653	−	9.68189i	1.38687	−	0.891290i
$119$	−0.289449	+	2.01317i	−0.0265338	+	0.184547i
$120$	2.87358	−	0.843758i	0.262320	−	0.0770242i
$121$	2.16602	−	4.74292i	0.196911	−	0.431174i
$122$	−0.843576	+	1.84717i	−0.0763737	+	0.167235i
$123$	−7.77415	+	4.99614i	−0.700972	+	0.450487i
$124$	1.19005	+	1.37339i	0.106869	+	0.123334i
$125$	−0.965977	−	6.71852i	−0.0863997	−	0.600923i
$126$	0.298796	+	0.654272i	0.0266189	+	0.0582872i
$127$	−2.88554	−	20.0694i	−0.256050	−	1.78087i	−0.560313	−	0.828281i	$-0.689319\pi$
$127$	−2.88554	−	20.0694i	−0.256050	−	1.78087i	0.304263	−	0.952588i	$-0.401590\pi$
$128$	−11.3250	−	7.27815i	−1.00100	−	0.643303i
$129$	−12.7602	+	8.20050i	−1.12347	+	0.722014i
$130$	−0.970816	+	0.285057i	−0.0851462	+	0.0250012i
$131$	−5.41238	+	6.24622i	−0.472882	+	0.545735i	−0.941211	−	0.337819i	$-0.890311\pi$
$131$	−5.41238	+	6.24622i	−0.472882	+	0.545735i	0.468329	+	0.883554i	$0.344856\pi$
$132$	−0.376735	−	2.62025i	−0.0327906	−	0.228064i
$133$	−18.5967			−1.61254
$134$	8.10319	+	9.72201i	0.700009	+	0.839854i
$135$	3.81446			0.328297
$136$	−0.261916	−	1.82167i	−0.0224591	−	0.156207i
$137$	0.263688	−	0.304313i	0.0225284	−	0.0259992i	−0.744374	−	0.667763i	$-0.767252\pi$
$137$	0.263688	−	0.304313i	0.0225284	−	0.0259992i	0.766902	+	0.641764i	$0.221797\pi$
$138$	6.85833	−	2.01379i	0.583820	−	0.171425i
$139$	0.0459388	−	0.0295231i	0.00389648	−	0.00250411i	−0.538691	−	0.842503i	$-0.681081\pi$
$139$	0.0459388	−	0.0295231i	0.00389648	−	0.00250411i	0.542588	+	0.839999i	$0.317445\pi$
$140$	−0.646613	−	0.415553i	−0.0546488	−	0.0351206i
$141$	−2.69793	−	18.7645i	−0.227207	−	1.58026i
$142$	0.626659	+	1.37219i	0.0525881	+	0.115152i
$143$	−0.524197	−	3.64587i	−0.0438356	−	0.304883i
$144$	−0.512791	−	0.591792i	−0.0427326	−	0.0493160i
$145$	1.76709	−	1.13564i	0.146749	−	0.0943099i
$146$	−2.27546	+	4.98255i	−0.188318	+	0.412359i
$147$	0.392446	−	0.859336i	0.0323684	−	0.0708768i
$148$	3.45333	−	1.01399i	0.283862	−	0.0833493i
$149$	−1.00114	+	6.96308i	−0.0820165	+	0.570438i	0.906830	+	0.421497i	$0.138495\pi$
$149$	−1.00114	+	6.96308i	−0.0820165	+	0.570438i	−0.988846	+	0.148940i	$0.952414\pi$
$150$	9.82259	−	6.31260i	0.802011	−	0.515421i
$151$	−3.27761	−	0.962392i	−0.266728	−	0.0783183i	0.145634	−	0.989339i	$-0.453478\pi$
$151$	−3.27761	−	0.962392i	−0.266728	−	0.0783183i	−0.412362	+	0.911020i	$0.635296\pi$
$152$	16.1461	−	4.74092i	1.30962	−	0.384539i
$153$	0.0178071	−	0.123851i	0.00143962	−	0.0100127i
$154$	11.2115	−	12.9388i	0.903451	−	1.04264i
$155$	2.79892	+	1.79876i	0.224815	+	0.144480i
$156$	−0.393810	−	0.454481i	−0.0315301	−	0.0363876i
$157$	3.41936	−	3.94616i	0.272895	−	0.314938i	−0.602715	−	0.797957i	$-0.705914\pi$
$157$	3.41936	−	3.94616i	0.272895	−	0.314938i	0.875610	+	0.483019i	$0.160460\pi$
$158$	−16.5223	−	4.85139i	−1.31445	−	0.385956i
$159$	−5.31705	+	11.6427i	−0.421670	+	0.923327i
$160$	1.49672	+	0.439476i	0.118326	+	0.0347436i
$161$	6.35601	+	4.08476i	0.500924	+	0.321924i
$162$	5.43647	+	11.9042i	0.427129	+	0.935283i
$163$	22.5209			1.76398			0.881988	−	0.471272i	$-0.156205\pi$
$163$	22.5209			1.76398			0.881988	+	0.471272i	$0.156205\pi$
$164$	−2.14611			−0.167583
$165$	−2.01334	−	4.40859i	−0.156738	−	0.343209i
$166$	−14.4842	−	16.7157i	−1.12419	−	1.29739i
$167$	1.27570	−	8.87268i	0.0987165	−	0.686589i	−0.879025	−	0.476776i	$-0.841805\pi$
$167$	1.27570	−	8.87268i	0.0987165	−	0.686589i	0.977742	−	0.209813i	$-0.0672855\pi$
$168$	−1.63834	+	11.3949i	−0.126401	+	0.879136i
$169$	7.96523	+	9.19237i	0.612710	+	0.707105i
$170$	0.339858	+	0.744186i	0.0260659	+	0.0570764i
$171$	1.14408			0.0874898
$172$	−3.52255			−0.268592
$173$	−10.1958	−	22.3257i	−0.775173	−	1.69739i	−0.714916	−	0.699210i	$-0.753535\pi$
$173$	−10.1958	−	22.3257i	−0.775173	−	1.69739i	−0.0602571	−	0.998183i	$-0.519192\pi$
$174$	6.42615	+	4.12984i	0.487165	+	0.313082i
$175$	11.8419	+	3.47710i	0.895165	+	0.262844i
$176$	−7.74278	+	16.9543i	−0.583634	+	1.27798i
$177$	18.6975	+	5.49009i	1.40539	+	0.412660i
$178$	−7.28696	+	8.40960i	−0.546181	+	0.630326i
$179$	2.29639	+	2.65018i	0.171640	+	0.198083i	0.835052	−	0.550171i	$-0.185438\pi$
$179$	2.29639	+	2.65018i	0.171640	+	0.198083i	−0.663412	+	0.748255i	$0.730892\pi$
$180$	0.0397799	+	0.0255650i	0.00296502	+	0.00190550i
$181$	−2.09920	+	2.42260i	−0.156032	+	0.180070i	−0.828383	−	0.560162i	$-0.810739\pi$
$181$	−2.09920	+	2.42260i	−0.156032	+	0.180070i	0.672351	+	0.740232i	$0.265284\pi$
$182$	0.553500	−	3.84968i	0.0410282	−	0.285357i
$183$	−2.12019	+	0.622544i	−0.156729	+	0.0460198i
$184$	−6.55978	−	1.92612i	−0.483593	−	0.141996i
$185$	5.54333	−	3.56248i	0.407554	−	0.261919i
$186$	−1.72189	+	11.9760i	−0.126255	+	0.878123i
$187$	−2.85764	+	0.839078i	−0.208971	+	0.0613595i
$188$	1.82889	−	4.00472i	0.133386	−	0.292074i
$189$	−6.09100	+	13.3374i	−0.443055	+	0.970154i
$190$	−6.29298	+	4.04425i	−0.456540	+	0.293401i
$191$	1.67340	+	1.93120i	0.121083	+	0.139737i	0.813054	−	0.582188i	$-0.197803\pi$
$191$	1.67340	+	1.93120i	0.121083	+	0.139737i	−0.691972	+	0.721925i	$0.743258\pi$
$192$	−1.40938	−	9.80246i	−0.101713	−	0.707432i
$193$	1.42798	+	3.12685i	0.102789	+	0.225075i	0.954038	−	0.299686i	$-0.0968819\pi$
$193$	1.42798	+	3.12685i	0.102789	+	0.225075i	−0.851249	+	0.524761i	$0.824155\pi$
$194$	0.516314	+	3.59104i	0.0370692	+	0.257822i
$195$	−0.926217	−	0.595244i	−0.0663278	−	0.0426263i
$196$	0.184565	−	0.118613i	0.0131832	−	0.00847235i
$197$	−0.329435	+	0.0967308i	−0.0234713	+	0.00689178i	−0.293447	−	0.955975i	$-0.594802\pi$
$197$	−0.329435	+	0.0967308i	−0.0234713	+	0.00689178i	0.269976	+	0.962867i	$0.412984\pi$
$198$	−0.689739	+	0.796001i	−0.0490176	+	0.0565693i
$199$	−0.936606	−	6.51424i	−0.0663942	−	0.461782i	−0.995712	−	0.0925022i	$-0.970513\pi$
$199$	−0.936606	−	6.51424i	−0.0663942	−	0.461782i	0.929318	−	0.369280i	$-0.120396\pi$
$200$	−11.1679			−0.789687
$201$	−2.22087	+	13.5917i	−0.156648	+	0.958682i
$202$	−27.1771			−1.91217
$203$	1.14909	+	7.99212i	0.0806505	+	0.560937i
$204$	−0.318425	+	0.367482i	−0.0222942	+	0.0257289i
$205$	−3.77001	+	1.10697i	−0.263309	+	0.0773144i
$206$	−15.5244	+	9.97693i	−1.08164	+	0.695125i
$207$	−0.391025	−	0.251296i	−0.0271781	−	0.0174663i
$208$	0.602583	+	4.19105i	0.0417816	+	0.290597i
$209$	−11.3126	−	24.7711i	−0.782507	−	1.71345i
$210$	−0.728295	−	5.06540i	−0.0502571	−	0.349546i
$211$	3.92828	+	4.53348i	0.270434	+	0.312098i	0.874680	−	0.484700i	$-0.161071\pi$
$211$	3.92828	+	4.53348i	0.270434	+	0.312098i	−0.604246	+	0.796798i	$0.706526\pi$
$212$	−2.50058	+	1.60703i	−0.171741	+	0.110371i
$213$	−0.681903	+	1.49316i	−0.0467232	+	0.102310i
$214$	1.61882	−	3.54471i	0.110660	−	0.242312i
$215$	−6.18796	+	1.81695i	−0.422015	+	0.123915i
$216$	1.88819	−	13.1327i	0.128475	−	0.893564i
$217$	−10.7588	+	6.91425i	−0.730354	+	0.469370i
$218$	21.6931	+	6.36966i	1.46924	+	0.431408i
$219$	−5.71899	+	1.67925i	−0.386453	+	0.113473i
$220$	0.160181	−	1.11408i	0.0107994	−	0.0751114i
$221$	−0.443064	+	0.511323i	−0.0298037	+	0.0343953i
$222$	20.1587	+	12.9552i	1.35296	+	0.869497i
$223$	5.20869	+	6.01115i	0.348800	+	0.402537i	0.902856	−	0.429943i	$-0.141466\pi$
$223$	5.20869	+	6.01115i	0.348800	+	0.402537i	−0.554056	+	0.832479i	$0.686921\pi$
$224$	−3.92663	+	4.53157i	−0.262359	+	0.302778i
$225$	−0.728520	−	0.213913i	−0.0485680	−	0.0142609i
$226$	10.7505	−	23.5404i	0.715115	−	1.56588i
$227$	7.39845	+	2.17238i	0.491053	+	0.144186i	0.517879	−	0.855454i	$-0.326722\pi$
$227$	7.39845	+	2.17238i	0.491053	+	0.144186i	−0.0268261	+	0.999640i	$0.508540\pi$
$228$	−3.74024	−	2.40370i	−0.247703	−	0.159189i
$229$	1.22382	+	2.67980i	0.0808724	+	0.177086i	0.945749	−	0.324899i	$-0.105330\pi$
$229$	1.22382	+	2.67980i	0.0808724	+	0.177086i	−0.864876	+	0.501985i	$0.832603\pi$
$230$	3.03914			0.200395
$231$	18.6297			1.22575
$232$	−3.03513	−	6.64600i	−0.199266	−	0.436331i
$233$	12.2192	+	14.1017i	0.800503	+	0.923830i	0.998409	−	0.0563910i	$-0.0179594\pi$
$233$	12.2192	+	14.1017i	0.800503	+	0.923830i	−0.197905	+	0.980221i	$0.563414\pi$
$234$	−0.0340516	+	0.236834i	−0.00222602	+	0.0154823i
$235$	1.14711	−	7.97832i	0.0748291	−	0.520448i
$236$	2.96358	+	3.42016i	0.192913	+	0.222633i
$237$	−7.78400	−	17.0446i	−0.505625	−	1.10716i
$238$	−3.14477			−0.203845
$239$	−4.04414			−0.261594			−0.130797	−	0.991409i	$-0.541754\pi$
$239$	−4.04414			−0.261594			−0.130797	+	0.991409i	$0.541754\pi$
$240$	2.31440	+	5.06783i	0.149394	+	0.327127i
$241$	14.5591	+	9.35659i	0.937837	+	0.602711i	0.917781	−	0.397088i	$-0.129979\pi$
$241$	14.5591	+	9.35659i	0.937837	+	0.602711i	0.0200561	+	0.999799i	$0.493616\pi$
$242$	7.73548	+	2.27134i	0.497256	+	0.146007i
$243$	0.729439	−	1.59725i	0.0467935	−	0.102464i
$244$	−0.492380	−	0.144576i	−0.0315214	−	0.00925553i
$245$	0.263039	−	0.303563i	0.0168049	−	0.0193939i
$246$	−9.35709	−	10.7987i	−0.596586	−	0.688497i
$247$	−5.20424	−	3.34456i	−0.331138	−	0.212809i
$248$	7.57835	−	8.74588i	0.481226	−	0.555364i
$249$	3.42521	−	23.8229i	0.217064	−	1.50971i
$250$	10.0699	−	2.95678i	0.636875	−	0.187003i
$251$	−6.66272	−	1.95635i	−0.420547	−	0.123484i	0.0646103	−	0.997911i	$-0.479420\pi$
$251$	−6.66272	−	1.95635i	−0.420547	−	0.123484i	−0.485158	+	0.874427i	$0.661238\pi$
$252$	−0.152910	+	0.0982695i	−0.00963244	+	0.00619040i
$253$	−1.57453	+	10.9511i	−0.0989898	+	0.688489i
$254$	30.0805	−	8.83242i	1.88742	−	0.554195i
$255$	−0.369819	+	0.809790i	−0.0231589	+	0.0507110i
$256$	3.75661	−	8.22583i	0.234788	−	0.514114i
$257$	0.0425960	−	0.0273748i	0.00265707	−	0.00170759i	−0.539312	−	0.842106i	$-0.681315\pi$
$257$	0.0425960	−	0.0273748i	0.00265707	−	0.00170759i	0.541969	+	0.840399i	$0.317679\pi$
$258$	−15.3584	−	17.7245i	−0.956172	−	1.10348i
$259$	3.60468	+	25.0711i	0.223984	+	1.55784i
$260$	−0.106217	−	0.232583i	−0.00658730	−	0.0144242i
$261$	−0.0706927	−	0.491679i	−0.00437577	−	0.0304342i
$262$	−10.7506	−	6.90898i	−0.664173	−	0.426838i
$263$	−9.78910	+	6.29107i	−0.603622	+	0.387924i	−0.806460	−	0.591288i	$-0.798620\pi$
$263$	−9.78910	+	6.29107i	−0.603622	+	0.387924i	0.202839	+	0.979212i	$0.434983\pi$
$264$	−16.1748	+	4.74934i	−0.995489	+	0.292302i
$265$	−3.56379	+	4.11283i	−0.218922	+	0.252649i
$266$	−4.09215	−	28.4616i	−0.250906	−	1.74509i
$267$	−12.1084			−0.741025
$268$	−2.14039	+	2.37653i	−0.130745	+	0.145170i
$269$	10.2717			0.626280			0.313140	−	0.949707i	$-0.398619\pi$
$269$	10.2717			0.626280			0.313140	+	0.949707i	$0.398619\pi$
$270$	0.839362	+	5.83789i	0.0510819	+	0.355283i
$271$	−9.18080	+	10.5952i	−0.557694	+	0.643613i	−0.962658	−	0.270719i	$-0.912738\pi$
$271$	−9.18080	+	10.5952i	−0.557694	+	0.643613i	0.404964	+	0.914332i	$0.367284\pi$
$272$	3.28495	−	0.964549i	0.199179	−	0.0584843i
$273$	3.56029	−	2.28806i	0.215479	−	0.138480i
$274$	0.523763	+	0.336602i	0.0316417	+	0.0203349i
$275$	2.57201	+	17.8887i	0.155098	+	1.07873i
$276$	0.750371	+	1.64308i	0.0451670	+	0.0989020i
$277$	−0.148831	−	1.03515i	−0.00894241	−	0.0621959i	0.984862	−	0.173343i	$-0.0554568\pi$
$277$	−0.148831	−	1.03515i	−0.00894241	−	0.0621959i	−0.993804	+	0.111147i	$0.964548\pi$
$278$	0.0552927	+	0.0638111i	0.00331623	+	0.00382714i
$279$	0.661885	−	0.425368i	0.0396260	−	0.0254661i
$280$	−2.03334	+	4.45239i	−0.121515	+	0.266081i
$281$	−1.44489	+	3.16386i	−0.0861946	+	0.188740i	−0.947821	−	0.318803i	$-0.896719\pi$
$281$	−1.44489	+	3.16386i	−0.0861946	+	0.188740i	0.861626	+	0.507543i	$0.169446\pi$
$282$	28.1247	−	8.25816i	1.67480	−	0.491766i
$283$	−3.03759	+	21.1269i	−0.180566	+	1.25586i	0.674862	+	0.737944i	$0.264203\pi$
$283$	−3.03759	+	21.1269i	−0.180566	+	1.25586i	−0.855428	+	0.517921i	$0.826706\pi$
$284$	−0.320696	+	0.206099i	−0.0190298	+	0.0122297i
$285$	−7.81020	−	2.29328i	−0.462636	−	0.135842i
$286$	5.46452	−	1.60453i	0.323124	−	0.0948778i
$287$	2.14943	−	14.9496i	0.126877	−	0.882447i
$288$	0.241568	−	0.278784i	0.0142345	−	0.0164275i
$289$	−13.8411	−	8.89513i	−0.814182	−	0.523243i
$290$	2.12690	+	2.45457i	0.124896	+	0.144137i
$291$	−2.58526	+	2.98355i	−0.151551	+	0.174899i
$292$	−1.32814	−	0.389978i	−0.0777237	−	0.0228217i
$293$	6.19371	−	13.5623i	0.361841	−	0.792320i	−0.637913	−	0.770109i	$-0.720202\pi$
$293$	6.19371	−	13.5623i	0.361841	−	0.792320i	0.999753	−	0.0222117i	$-0.00707078\pi$
$294$	1.40154	+	0.411529i	0.0817394	+	0.0240008i
$295$	6.97017	+	4.47945i	0.405819	+	0.260804i
$296$	−9.52113	−	20.8484i	−0.553404	−	1.21179i
$297$	−21.4708			−1.24586
$298$	−10.8770			−0.630089
$299$	1.04408	+	2.28622i	0.0603808	+	0.132216i
$300$	1.93226	+	2.22995i	0.111559	+	0.128746i
$301$	3.52800	−	24.5378i	0.203350	−	1.41433i
$302$	0.751676	−	5.22802i	0.0432541	−	0.300839i
$303$	−19.3661	−	22.3497i	−1.11255	−	1.28396i
$304$	13.0042	+	28.4752i	0.745840	+	1.63316i
$305$	−0.939522			−0.0537969
$306$	0.193467			0.0110598
$307$	4.90827	+	10.7476i	0.280130	+	0.613399i	0.996433	−	0.0843907i	$-0.0268944\pi$
$307$	4.90827	+	10.7476i	0.280130	+	0.613399i	−0.716303	+	0.697789i	$0.754167\pi$
$308$	3.63965	+	2.33906i	0.207388	+	0.133280i
$309$	−19.2673	−	5.65739i	−1.09608	−	0.321838i
$310$	−2.13703	+	4.67945i	−0.121375	+	0.265775i
$311$	23.0106	+	6.75651i	1.30481	+	0.383126i	0.858988	−	0.511996i	$-0.171094\pi$
$311$	23.0106	+	6.75651i	1.30481	+	0.383126i	0.445821	+	0.895122i	$0.352912\pi$
$312$	−2.50783	+	2.89418i	−0.141978	+	0.163851i
$313$	−8.53224	−	9.84673i	−0.482271	−	0.556570i	0.461513	−	0.887133i	$-0.347307\pi$
$313$	−8.53224	−	9.84673i	−0.482271	−	0.556570i	−0.943784	+	0.330563i	$0.892761\pi$
$314$	6.79187	+	4.36487i	0.383287	+	0.246324i
$315$	−0.217925	+	0.251499i	−0.0122787	+	0.0141703i
$316$	0.619294	−	4.30728i	0.0348380	−	0.242304i
$317$	16.2248	−	4.76405i	0.911278	−	0.267575i	0.207700	−	0.978193i	$-0.433402\pi$
$317$	16.2248	−	4.76405i	0.911278	−	0.267575i	0.703579	+	0.710617i	$0.251584\pi$
$318$	−18.9887	−	5.57560i	−1.06484	−	0.312664i
$319$	−9.94660	+	6.39229i	−0.556903	+	0.357900i
$320$	0.599242	−	4.16782i	0.0334987	−	0.232988i
$321$	4.06863	−	1.19466i	0.227089	−	0.0666793i
$322$	−4.85295	+	10.6265i	−0.270444	+	0.592190i
$323$	−2.07794	+	4.55006i	−0.115620	+	0.253172i
$324$	−2.78214	+	1.78797i	−0.154563	+	0.0993318i
$325$	2.68858	+	3.10279i	0.149136	+	0.172112i
$326$	4.95567	+	34.4675i	0.274469	+	1.90898i
$327$	10.2200	+	22.3788i	0.565170	+	1.23755i
$328$	1.94497	+	13.5276i	0.107393	+	0.746934i
$329$	26.0648	+	16.7508i	1.43700	+	0.923503i
$330$	6.30416	−	4.05144i	0.347032	−	0.223024i
$331$	−23.0348	+	6.76362i	−1.26611	+	0.371762i	−0.844764	−	0.535139i	$-0.820259\pi$
$331$	−23.0348	+	6.76362i	−1.26611	+	0.371762i	−0.421342	+	0.906902i	$0.638441\pi$
$332$	3.66026	−	4.22416i	0.200883	−	0.231831i
$333$	−0.221762	−	1.54239i	−0.0121525	−	0.0845222i
$334$	13.8600			0.758386
$335$	−2.53413	+	5.27880i	−0.138454	+	0.288412i
$336$	−21.4155			−1.16831
$337$	2.00668	+	13.9567i	0.109311	+	0.760272i	0.968572	+	0.248735i	$0.0800147\pi$
$337$	2.00668	+	13.9567i	0.109311	+	0.760272i	−0.859261	+	0.511537i	$0.829076\pi$
$338$	−12.3158	+	14.2132i	−0.669894	+	0.773099i
$339$	27.0197	−	7.93370i	1.46751	−	0.430900i
$340$	−0.173924	+	0.111774i	−0.00943236	+	0.00606181i
$341$	−15.7545	−	10.1248i	−0.853157	−	0.548290i
$342$	0.251751	+	1.75097i	0.0136131	+	0.0946815i
$343$	−7.35481	−	16.1048i	−0.397122	−	0.869577i
$344$	3.19240	+	22.2037i	0.172123	+	1.19714i
$345$	2.16566	+	2.49931i	0.116595	+	0.134558i
$346$	31.9251	−	20.5170i	1.71630	−	1.10300i
$347$	9.34161	−	20.4553i	0.501484	−	1.09810i	−0.474501	−	0.880255i	$-0.657371\pi$
$347$	9.34161	−	20.4553i	0.501484	−	1.09810i	0.975984	−	0.217841i	$-0.0699014\pi$
$348$	−0.801906	+	1.75593i	−0.0429867	+	0.0941277i
$349$	−9.21205	+	2.70490i	−0.493110	+	0.144790i	−0.518827	−	0.854879i	$-0.673631\pi$
$349$	−9.21205	+	2.70490i	−0.493110	+	0.144790i	0.0257175	+	0.999669i	$0.491813\pi$
$350$	−2.71579	+	18.8887i	−0.145165	+	1.00965i
$351$	−4.10325	+	2.63700i	−0.219015	+	0.140752i
$352$	−8.42472	−	2.47372i	−0.449039	−	0.131850i
$353$	16.4055	−	4.81708i	0.873175	−	0.256387i	0.185710	−	0.982605i	$-0.440542\pi$
$353$	16.4055	−	4.81708i	0.873175	−	0.256387i	0.687465	+	0.726217i	$0.258723\pi$
$354$	−4.28803	+	29.8239i	−0.227906	+	1.58512i
$355$	−0.457050	+	0.527463i	−0.0242577	+	0.0279949i
$356$	−2.36560	−	1.52028i	−0.125377	−	0.0805746i
$357$	−2.24093	−	2.58617i	−0.118603	−	0.136875i
$358$	−3.55068	+	4.09770i	−0.187659	+	0.216570i
$359$	11.6807	+	3.42975i	0.616482	+	0.181015i	0.575040	−	0.818125i	$-0.304987\pi$
$359$	11.6807	+	3.42975i	0.616482	+	0.181015i	0.0414422	+	0.999141i	$0.486805\pi$
$360$	0.125092	−	0.273913i	0.00659293	−	0.0144365i
$361$	−25.6537	−	7.53260i	−1.35019	−	0.396453i
$362$	−4.16962	−	2.67965i	−0.219150	−	0.140839i
$363$	3.64434	+	7.97999i	0.191278	+	0.418841i
$364$	0.982844			0.0515150
$365$	−2.53426			−0.132649
$366$	−1.41932	−	3.10788i	−0.0741891	−	0.162452i
$367$	−10.3601	−	11.9562i	−0.540791	−	0.624106i	0.417922	−	0.908483i	$-0.362759\pi$
$367$	−10.3601	−	11.9562i	−0.540791	−	0.624106i	−0.958713	+	0.284377i	$0.908213\pi$
$368$	1.80997	−	12.5886i	0.0943514	−	0.656229i
$369$	−0.132234	+	0.919707i	−0.00688382	+	0.0478780i
$370$	6.67204	+	7.69994i	0.346863	+	0.400301i
$371$	−8.68995	−	19.0283i	−0.451160	−	0.987903i
$372$	−3.05754			−0.158526
$373$	9.37523			0.485431			0.242715	−	0.970098i	$-0.421962\pi$
$373$	9.37523			0.485431			0.242715	+	0.970098i	$0.421962\pi$
$374$	−1.91299	−	4.18887i	−0.0989185	−	0.216601i
$375$	9.60728	+	6.17423i	0.496118	+	0.318836i
$376$	−26.9004	−	7.89867i	−1.38728	−	0.407343i
$377$	−1.11579	+	2.44324i	−0.0574660	+	0.125833i
$378$	−21.7527	−	6.38718i	−1.11884	−	0.328521i
$379$	19.3097	−	22.2845i	0.991871	−	1.14468i	0.00239283	−	0.999997i	$-0.499238\pi$
$379$	19.3097	−	22.2845i	0.991871	−	1.14468i	0.989478	−	0.144683i	$-0.0462162\pi$
$380$	−1.23793	−	1.42864i	−0.0635043	−	0.0732879i
$381$	28.6986	+	18.4435i	1.47027	+	0.944888i
$382$	−2.58741	+	2.98603i	−0.132383	+	0.152779i
$383$	−0.946708	+	6.58450i	−0.0483745	+	0.336452i	0.951234	+	0.308470i	$0.0998171\pi$
$383$	−0.946708	+	6.58450i	−0.0483745	+	0.336452i	−0.999608	+	0.0279816i	$0.991092\pi$
$384$	21.7325	−	6.38125i	1.10903	−	0.325642i
$385$	7.60016	+	2.23161i	0.387340	+	0.113733i
$386$	−4.47130	+	2.87353i	−0.227583	+	0.146259i
$387$	−0.217044	+	1.50957i	−0.0110330	+	0.0767360i
$388$	−0.879676	+	0.258296i	−0.0446588	+	0.0131130i
$389$	10.1757	−	22.2817i	0.515930	−	1.12973i	−0.455028	−	0.890477i	$-0.650371\pi$
$389$	10.1757	−	22.2817i	0.515930	−	1.12973i	0.970958	−	0.239252i	$-0.0769021\pi$
$390$	0.707187	−	1.54852i	0.0358098	−	0.0784125i
$391$	1.70962	−	1.09871i	0.0864593	−	0.0555640i
$392$	−0.914919	−	1.05587i	−0.0462104	−	0.0533296i
$393$	−1.97900	−	13.7643i	−0.0998275	−	0.694315i
$394$	−0.220534	−	0.482902i	−0.0111103	−	0.0243283i
$395$	−1.13382	−	7.88590i	−0.0570488	−	0.396783i
$396$	−0.223913	−	0.143900i	−0.0112521	−	0.00723126i
$397$	−10.1841	+	6.54493i	−0.511126	+	0.328481i	−0.770653	−	0.637255i	$-0.780070\pi$
$397$	−10.1841	+	6.54493i	−0.511126	+	0.328481i	0.259527	+	0.965736i	$0.416433\pi$
$398$	9.76370	−	2.86688i	0.489410	−	0.143704i
$399$	20.4900	−	23.6467i	1.02578	−	1.18382i
$400$	−2.95662	−	20.5637i	−0.147831	−	1.02819i
$401$	29.5709			1.47670			0.738350	−	0.674417i	$-0.235605\pi$
$401$	29.5709			1.47670			0.738350	+	0.674417i	$0.235605\pi$
$402$	−21.2902	−	0.408143i	−1.06186	−	0.0203563i
$403$	−4.25433			−0.211923
$404$	−0.977394	−	6.79792i	−0.0486272	−	0.338209i
$405$	−3.96505	+	4.57591i	−0.197025	+	0.227379i
$406$	−11.9788	+	3.51729i	−0.594497	+	0.174560i
$407$	−31.2023	+	20.0525i	−1.54664	+	0.993965i
$408$	2.60493	+	1.67409i	0.128963	+	0.0828796i
$409$	2.75865	+	19.1868i	0.136406	+	0.948727i	0.936953	+	0.349456i	$0.113634\pi$
$409$	2.75865	+	19.1868i	0.136406	+	0.948727i	−0.800546	+	0.599271i	$0.795457\pi$
$410$	−2.52376	−	5.52626i	−0.124640	−	0.272923i
$411$	0.0964160	+	0.670588i	0.00475585	+	0.0330777i
$412$	−3.05389	−	3.52438i	−0.150455	−	0.173634i
$413$	−26.7927	+	17.2186i	−1.31838	+	0.847272i
$414$	0.298556	−	0.653746i	0.0146732	−	0.0321299i
$415$	4.25102	−	9.30843i	0.208674	−	0.456933i
$416$	−1.91385	+	0.561956i	−0.0938341	+	0.0275522i
$417$	−0.0130755	+	0.0909424i	−0.000640312	+	0.00445347i
$418$	35.4219	−	22.7643i	1.73254	−	1.11344i
$419$	−29.3535	−	8.61896i	−1.43401	−	0.421064i	−0.529790	−	0.848129i	$-0.677729\pi$
$419$	−29.3535	−	8.61896i	−1.43401	−	0.421064i	−0.904221	+	0.427065i	$0.859548\pi$
$420$	1.24084	−	0.364344i	0.0605468	−	0.0177782i
$421$	5.60698	−	38.9974i	0.273268	−	1.90062i	−0.140240	−	0.990118i	$-0.544787\pi$
$421$	5.60698	−	38.9974i	0.273268	−	1.90062i	0.413507	−	0.910501i	$-0.364304\pi$
$422$	−6.07391	+	7.00967i	−0.295673	+	0.341225i
$423$	−1.60352	−	1.03052i	−0.0779657	−	0.0501055i
$424$	12.3958	+	14.3055i	0.601992	+	0.694736i
$425$	2.17392	−	2.50884i	0.105451	−	0.121697i
$426$	−2.43527	−	0.715061i	−0.117989	−	0.0346448i
$427$	1.50024	−	3.28508i	0.0726019	−	0.158976i
$428$	0.944875	+	0.277440i	0.0456722	+	0.0134106i
$429$	5.21349	+	3.35051i	0.251710	+	0.161764i
$430$	−4.14241	−	9.07062i	−0.199765	−	0.437424i
$431$	−15.9955			−0.770476			−0.385238	−	0.922817i	$-0.625881\pi$
$431$	−15.9955			−0.770476			−0.385238	+	0.922817i	$0.625881\pi$
$432$	24.6814			1.18749
$433$	−9.10228	−	19.9312i	−0.437428	−	0.957833i	−0.992063	−	0.125739i	$-0.959870\pi$
$433$	−9.10228	−	19.9312i	−0.437428	−	0.957833i	0.554636	−	0.832093i	$-0.312858\pi$
$434$	−12.9494	−	14.9444i	−0.621593	−	0.717356i
$435$	−0.502967	+	3.49821i	−0.0241154	+	0.167726i
$436$	−0.813105	+	5.65527i	−0.0389407	+	0.270838i
$437$	12.1685	+	14.0431i	0.582096	+	0.671775i
$438$	−3.82847	−	8.38318i	−0.182931	−	0.400564i
$439$	28.2740			1.34945			0.674723	−	0.738071i	$-0.264263\pi$
$439$	28.2740			1.34945			0.674723	+	0.738071i	$0.264263\pi$
$440$	−7.16755			−0.341699
$441$	−0.0394590	−	0.0864031i	−0.00187900	−	0.00411443i
$442$	−0.880055	−	0.565577i	−0.0418599	−	0.0269018i
$443$	−10.7753	−	3.16392i	−0.511951	−	0.150322i	0.0155461	−	0.999879i	$-0.495051\pi$
$443$	−10.7753	−	3.16392i	−0.511951	−	0.150322i	−0.527497	+	0.849557i	$0.676870\pi$
$444$	−2.51556	+	5.50831i	−0.119383	+	0.261413i
$445$	−4.93974	−	1.45044i	−0.234166	−	0.0687574i
$446$	−8.05368	+	9.29445i	−0.381353	+	0.440105i
$447$	−7.75087	−	8.94498i	−0.366603	−	0.423083i
$448$	13.6161	+	8.75052i	0.643299	+	0.413423i
$449$	−1.40241	+	1.61847i	−0.0661838	+	0.0763802i	−0.787876	−	0.615834i	$-0.788819\pi$
$449$	−1.40241	+	1.61847i	−0.0661838	+	0.0763802i	0.721692	+	0.692214i	$0.243365\pi$
$450$	0.167077	−	1.16204i	0.00787607	−	0.0547793i
$451$	21.2206	−	6.23093i	0.999239	−	0.293403i
$452$	6.27490	+	1.84248i	0.295146	+	0.0866628i
$453$	4.83502	−	3.10728i	0.227169	−	0.145993i
$454$	−1.69674	+	11.8011i	−0.0796319	+	0.553852i
$455$	1.72653	−	0.506955i	0.0809411	−	0.0237664i
$456$	−11.7616	+	25.7542i	−0.550785	+	1.20605i
$457$	−7.05327	+	15.4445i	−0.329938	+	0.722464i	−0.999800	−	0.0200224i	$-0.993626\pi$
$457$	−7.05327	+	15.4445i	−0.329938	+	0.722464i	0.669861	+	0.742486i	$0.266354\pi$
$458$	−3.83203	+	2.46269i	−0.179059	+	0.115074i
$459$	2.58268	+	2.98057i	0.120549	+	0.139121i
$460$	0.109299	+	0.760195i	0.00509611	+	0.0354443i
$461$	17.3473	+	37.9852i	0.807943	+	1.76915i	0.616007	+	0.787741i	$0.288749\pi$
$461$	17.3473	+	37.9852i	0.807943	+	1.76915i	0.191936	+	0.981408i	$0.438523\pi$
$462$	4.09943	+	28.5121i	0.190723	+	1.32650i
$463$	−31.0999	−	19.9867i	−1.44533	−	0.928860i	−0.999429	−	0.0337794i	$-0.989246\pi$
$463$	−31.0999	−	19.9867i	−1.44533	−	0.928860i	−0.445905	−	0.895080i	$-0.647118\pi$
$464$	11.4340	−	7.34815i	0.530808	−	0.341130i
$465$	−5.37109	+	1.57709i	−0.249078	+	0.0731359i
$466$	−18.8933	+	21.8040i	−0.875213	+	1.01005i
$467$	1.21323	+	8.43821i	0.0561416	+	0.390474i	0.998447	+	0.0557179i	$0.0177447\pi$
$467$	1.21323	+	8.43821i	0.0561416	+	0.390474i	−0.942305	+	0.334756i	$0.891346\pi$
$468$	−0.0604650			−0.00279500
$469$	−14.4110	−	17.2900i	−0.665438	−	0.798376i
$470$	12.4629			0.574872
$471$	1.25027	+	8.69581i	0.0576094	+	0.400682i
$472$	18.8724	−	21.7799i	0.868673	−	1.00250i
$473$	34.8307	−	10.2272i	1.60152	−	0.470248i
$474$	24.3732	−	15.6637i	1.11950	−	0.719459i
$475$	25.5350	+	16.4103i	1.17163	+	0.752958i
$476$	−0.113098	−	0.786615i	−0.00518385	−	0.0360544i
$477$	0.534610	+	1.17063i	0.0244781	+	0.0535996i
$478$	−0.889902	−	6.18940i	−0.0407032	−	0.283097i
$479$	4.33652	+	5.00461i	0.198141	+	0.228667i	0.846121	−	0.532990i	$-0.178932\pi$
$479$	4.33652	+	5.00461i	0.198141	+	0.228667i	−0.647981	+	0.761657i	$0.724386\pi$
$480$	−2.20791	+	1.41894i	−0.100777	+	0.0647655i
$481$	−3.50020	+	7.66438i	−0.159596	+	0.349466i
$482$	−11.1162	+	24.3411i	−0.506330	+	1.10871i
$483$	−12.1971	+	3.58139i	−0.554987	+	0.162959i
$484$	−0.289943	+	2.01660i	−0.0131792	+	0.0916636i
$485$	−1.41207	+	0.907482i	−0.0641188	+	0.0412066i
$486$	2.60504	+	0.764909i	0.118167	+	0.0346970i
$487$	−22.6206	+	6.64200i	−1.02504	+	0.300978i	−0.750691	−	0.660653i	$-0.770279\pi$
$487$	−22.6206	+	6.64200i	−1.02504	+	0.300978i	−0.274345	+	0.961631i	$0.588461\pi$
$488$	−0.465071	+	3.23464i	−0.0210528	+	0.146425i
$489$	−24.8137	+	28.6366i	−1.12212	+	1.29499i
$490$	0.522473	+	0.335773i	0.0236029	+	0.0151687i
$491$	−19.8296	−	22.8845i	−0.894895	−	1.03276i	−0.999269	−	0.0382263i	$-0.987829\pi$
$491$	−19.8296	−	22.8845i	−0.894895	−	1.03276i	0.104374	−	0.994538i	$-0.466716\pi$
$492$	2.36460	−	2.72890i	0.106604	−	0.123028i
$493$	2.08383	+	0.611867i	0.0938509	+	0.0275571i
$494$	3.97355	−	8.70086i	0.178778	−	0.391470i
$495$	−0.467566	−	0.137290i	−0.0210155	−	0.00617071i
$496$	18.1104	+	11.6388i	0.813180	+	0.522599i
$497$	−1.11447	−	2.44035i	−0.0499909	−	0.109465i
$498$	37.2137			1.66758
$499$	10.1028			0.452265			0.226133	−	0.974097i	$-0.427392\pi$
$499$	10.1028			0.452265			0.226133	+	0.974097i	$0.427392\pi$
$500$	1.10175	+	2.41249i	0.0492716	+	0.107890i
$501$	9.87652	+	11.3981i	0.441250	+	0.509230i
$502$	1.52801	−	10.6275i	0.0681984	−	0.474330i
$503$	4.18751	−	29.1248i	0.186712	−	1.29861i	−0.653738	−	0.756721i	$-0.726800\pi$
$503$	4.18751	−	29.1248i	0.186712	−	1.29861i	0.840450	−	0.541889i	$-0.182291\pi$
$504$	0.758000	+	0.874778i	0.0337640	+	0.0389657i
$505$	−5.22336	−	11.4376i	−0.232436	−	0.508965i
$506$	−17.1067			−0.760486
$507$	−20.4648			−0.908872
$508$	3.29111	+	7.20652i	0.146019	+	0.319738i
$509$	−10.5916	−	6.80678i	−0.469462	−	0.301705i	0.284437	−	0.958695i	$-0.408193\pi$
$509$	−10.5916	−	6.80678i	−0.469462	−	0.301705i	−0.753900	+	0.656990i	$0.771830\pi$
$510$	−1.32073	−	0.387802i	−0.0584829	−	0.0171721i
$511$	4.04675	−	8.86114i	0.179018	−	0.391994i
$512$	−12.4176	−	3.64613i	−0.548785	−	0.161138i
$513$	−23.6148	+	27.2529i	−1.04262	+	1.20325i
$514$	0.0512692	+	0.0591678i	0.00226139	+	0.00260978i
$515$	−7.18257	−	4.61596i	−0.316502	−	0.203403i
$516$	3.88117	−	4.47911i	0.170859	−	0.197182i
$517$	−6.45684	+	44.9083i	−0.283972	+	1.97507i
$518$	−37.5772	+	11.0337i	−1.65105	+	0.484791i
$519$	39.6222	+	11.6341i	1.73922	+	0.510681i
$520$	−1.36978	+	0.880301i	−0.0600686	+	0.0386038i
$521$	1.66265	−	11.5640i	0.0728419	−	0.506627i	−0.920438	−	0.390889i	$-0.872168\pi$
$521$	1.66265	−	11.5640i	0.0728419	−	0.506627i	0.993280	−	0.115738i	$-0.0369232\pi$
$522$	0.736940	−	0.216385i	0.0322550	−	0.00947092i
$523$	11.7339	−	25.6936i	0.513086	−	1.12350i	−0.458905	−	0.888485i	$-0.651758\pi$
$523$	11.7339	−	25.6936i	0.513086	−	1.12350i	0.971991	−	0.235017i	$-0.0755146\pi$
$524$	1.34154	−	2.93757i	0.0586055	−	0.128328i
$525$	−17.4688	+	11.2265i	−0.762403	+	0.489966i
$526$	−11.7823	−	13.5975i	−0.513733	−	0.592880i
$527$	0.489555	+	3.40493i	0.0213254	+	0.148321i
$528$	−13.0273	−	28.5258i	−0.566940	−	1.24142i
$529$	2.19886	+	15.2934i	0.0956026	+	0.664931i
$530$	−7.07873	−	4.54922i	−0.307480	−	0.197606i
$531$	1.64830	−	1.05930i	0.0715300	−	0.0459696i
$532$	6.97205	−	2.04718i	0.302277	−	0.0887565i
$533$	3.29016	−	3.79704i	0.142512	−	0.164468i
$534$	−2.66443	−	18.5315i	−0.115301	−	0.801937i
$535$	1.80294			0.0779477
$536$	16.9197	+	11.3377i	0.730822	+	0.489714i
$537$	−5.90002			−0.254605
$538$	2.26027	+	15.7205i	0.0974472	+	0.677760i
$539$	−1.48059	+	1.70870i	−0.0637737	+	0.0735987i
$540$	−1.43007	+	0.419907i	−0.0615405	+	0.0180699i
$541$	10.3813	−	6.67164i	0.446326	−	0.286836i	−0.298108	−	0.954532i	$-0.596356\pi$
$541$	10.3813	−	6.67164i	0.446326	−	0.286836i	0.744434	+	0.667696i	$0.232719\pi$
$542$	−18.2358	−	11.7194i	−0.783294	−	0.503392i
$543$	−0.767558	−	5.33848i	−0.0329390	−	0.229096i
$544$	0.669990	+	1.46707i	0.0287256	+	0.0629003i
$545$	1.48866	+	10.3538i	0.0637671	+	0.443510i
$546$	4.28522	+	4.94541i	0.183391	+	0.211644i
$547$	−14.0951	+	9.05839i	−0.602664	+	0.387309i	−0.806100	−	0.591780i	$-0.798426\pi$
$547$	−14.0951	+	9.05839i	−0.602664	+	0.387309i	0.203436	+	0.979088i	$0.434789\pi$
$548$	−0.0653593	+	0.143117i	−0.00279201	+	0.00611365i
$549$	−0.0922957	+	0.202099i	−0.00393909	+	0.00862539i
$550$	−26.8121	+	7.87274i	−1.14327	+	0.335695i
$551$	−2.82608	+	19.6558i	−0.120395	+	0.837365i
$552$	9.67679	−	6.21889i	0.411871	−	0.264694i
$553$	29.3839	+	8.62789i	1.24953	+	0.366895i
$554$	1.55150	−	0.455562i	0.0659170	−	0.0193550i
$555$	−1.57780	+	10.9738i	−0.0669737	+	0.465813i
$556$	−0.0139728	+	0.0161255i	−0.000592580	+	0.000683874i
$557$	−13.0629	−	8.39503i	−0.553494	−	0.355709i	0.233802	−	0.972284i	$-0.424883\pi$
$557$	−13.0629	−	8.39503i	−0.553494	−	0.355709i	−0.787296	+	0.616575i	$0.788520\pi$
$558$	0.796655	+	0.919389i	0.0337251	+	0.0389209i
$559$	5.40035	−	6.23233i	0.228410	−	0.263600i
$560$	−8.73664	−	2.56531i	−0.369190	−	0.108404i
$561$	2.08163	−	4.55814i	0.0878867	−	0.192445i
$562$	−5.16011	−	1.51514i	−0.217666	−	0.0639125i
$563$	10.5511	+	6.78076i	0.444675	+	0.285775i	0.743754	−	0.668453i	$-0.233043\pi$
$563$	10.5511	+	6.78076i	0.444675	+	0.285775i	−0.299080	+	0.954228i	$0.596680\pi$
$564$	3.07713	+	6.73797i	0.129570	+	0.283720i
$565$	11.9733			0.503719
$566$	−33.0024			−1.38719
$567$	−9.66841	−	21.1709i	−0.406035	−	0.889092i
$568$	1.58974	+	1.83466i	0.0667039	+	0.0769804i
$569$	2.04669	−	14.2350i	0.0858017	−	0.596764i	−0.900876	−	0.434076i	$-0.857075\pi$
$569$	2.04669	−	14.2350i	0.0858017	−	0.596764i	0.986678	−	0.162687i	$-0.0520161\pi$
$570$	1.79117	−	12.4578i	0.0750237	−	0.521802i
$571$	−27.7560	−	32.0321i	−1.16155	−	1.34050i	−0.929948	−	0.367691i	$-0.880148\pi$
$571$	−27.7560	−	32.0321i	−1.16155	−	1.34050i	−0.231603	−	0.972810i	$-0.574397\pi$
$572$	0.597874	+	1.30916i	0.0249984	+	0.0547388i
$573$	−4.29939			−0.179610
$574$	23.3528			0.974726
$575$	−5.12286	−	11.2175i	−0.213638	−	0.467802i
$576$	−0.837667	−	0.538336i	−0.0349028	−	0.0224307i
$577$	9.15531	+	2.68824i	0.381141	+	0.111913i	0.466690	−	0.884421i	$-0.345446\pi$
$577$	9.15531	+	2.68824i	0.381141	+	0.111913i	−0.0855494	+	0.996334i	$0.527265\pi$
$578$	10.5680	−	23.1406i	0.439569	−	0.962523i
$579$	−5.54932	−	1.62943i	−0.230622	−	0.0677167i
$580$	−0.537482	+	0.620288i	−0.0223177	+	0.0257560i
$581$	25.7592	+	29.7277i	1.06867	+	1.23331i
$582$	−5.13509	−	3.30012i	−0.212856	−	0.136794i
$583$	20.0598	−	23.1503i	0.830793	−	0.958786i
$584$	−1.25448	+	8.72510i	−0.0519107	+	0.361047i
$585$	−0.106217	+	0.0311881i	−0.00439153	+	0.00128947i
$586$	22.1196	+	6.49489i	0.913751	+	0.268301i
$587$	7.48846	−	4.81254i	0.309082	−	0.198635i	−0.376899	−	0.926254i	$-0.623010\pi$
$587$	7.48846	−	4.81254i	0.309082	−	0.198635i	0.685981	+	0.727619i	$0.259373\pi$
$588$	−0.0525328	+	0.365373i	−0.00216642	+	0.0150677i
$589$	−30.1791	+	8.86139i	−1.24351	+	0.365127i
$590$	−5.32187	+	11.6533i	−0.219098	+	0.479758i
$591$	0.239975	−	0.525473i	0.00987127	−	0.0216151i
$592$	35.8681	−	23.0510i	1.47417	−	0.947391i
$593$	−10.8997	−	12.5789i	−0.447598	−	0.516555i	0.486448	−	0.873710i	$-0.338292\pi$
$593$	−10.8997	−	12.5789i	−0.447598	−	0.516555i	−0.934045	+	0.357155i	$0.883747\pi$
$594$	−4.72460	−	32.8603i	−0.193853	−	1.34827i
$595$	−0.604416	−	1.32349i	−0.0247786	−	0.0542576i
$596$	−0.391181	−	2.72072i	−0.0160234	−	0.111445i
$597$	9.31516	+	5.98649i	0.381244	+	0.245011i
$598$	−3.26923	+	2.10100i	−0.133689	+	0.0859165i
$599$	6.31049	−	1.85293i	0.257840	−	0.0757085i	−0.150258	−	0.988647i	$-0.548010\pi$
$599$	6.31049	−	1.85293i	0.257840	−	0.0757085i	0.408098	+	0.912938i	$0.366192\pi$
$600$	12.3048	−	14.2005i	0.502343	−	0.579734i
$601$	6.01280	+	41.8199i	0.245267	+	1.70587i	0.624876	+	0.780724i	$0.285150\pi$
$601$	6.01280	+	41.8199i	0.245267	+	1.70587i	−0.379609	+	0.925147i	$0.623941\pi$
$602$	38.3304			1.56223
$603$	0.886571	+	1.06369i	0.0361040	+	0.0433167i
$604$	1.33474			0.0543099
$605$	0.530837	+	3.69205i	0.0215816	+	0.150103i
$606$	29.9439	−	34.5571i	1.21639	−	1.40379i
$607$	3.54300	−	1.04032i	0.143806	−	0.0422252i	−0.209037	−	0.977908i	$-0.567033\pi$
$607$	3.54300	−	1.04032i	0.143806	−	0.0422252i	0.352843	+	0.935682i	$0.385215\pi$
$608$	−12.4059	+	7.97276i	−0.503124	+	0.323338i
$609$	−11.4285	−	7.34464i	−0.463106	−	0.297620i
$610$	−0.206739	−	1.43790i	−0.00837063	−	0.0582190i
$611$	4.28158	+	9.37535i	0.173214	+	0.379286i
$612$	0.00695785	+	0.0483929i	0.000281255	+	0.00195617i
$613$	20.4391	+	23.5880i	0.825526	+	0.952708i	0.999486	−	0.0320444i	$-0.0102018\pi$
$613$	20.4391	+	23.5880i	0.825526	+	0.952708i	−0.173960	+	0.984753i	$0.555656\pi$
$614$	−15.3688	+	9.87691i	−0.620233	+	0.398599i
$615$	2.74625	−	6.01344i	0.110739	−	0.242485i
$616$	11.4453	−	25.0616i	0.461142	−	1.00976i
$617$	14.9818	−	4.39905i	0.603145	−	0.177099i	0.0341173	−	0.999418i	$-0.489138\pi$
$617$	14.9818	−	4.39905i	0.603145	−	0.177099i	0.569027	+	0.822319i	$0.307320\pi$
$618$	4.41870	−	30.7328i	0.177746	−	1.23625i
$619$	−31.1612	+	20.0261i	−1.25247	+	0.804916i	−0.987236	−	0.159267i	$-0.949087\pi$
$619$	−31.1612	+	20.0261i	−1.25247	+	0.804916i	−0.265238	+	0.964183i	$0.585451\pi$
$620$	−1.24735	−	0.366255i	−0.0500948	−	0.0147091i
$621$	14.0572	−	4.12756i	0.564095	−	0.165633i
$622$	−5.27717	+	36.7035i	−0.211595	+	1.47168i
$623$	12.9594	−	14.9559i	0.519206	−	0.599196i
$624$	−5.99308	−	3.85152i	−0.239915	−	0.154184i
$625$	−11.5161	−	13.2903i	−0.460644	−	0.531612i
$626$	13.1926	−	15.2250i	0.527280	−	0.608514i
$627$	43.9620	+	12.9084i	1.75567	+	0.515512i
$628$	−0.847543	+	1.85586i	−0.0338206	+	0.0740569i
$629$	6.53693	+	1.91942i	0.260644	+	0.0765321i
$630$	−0.432863	−	0.278184i	−0.0172457	−	0.0110831i
$631$	2.44628	+	5.35661i	0.0973849	+	0.213243i	0.952054	−	0.305930i	$-0.0989673\pi$
$631$	2.44628	+	5.35661i	0.0973849	+	0.213243i	−0.854669	+	0.519173i	$0.826240\pi$
$632$	−27.7113			−1.10230
$633$	−10.0928			−0.401152
$634$	10.8614	+	23.7832i	0.431362	+	0.944552i
$635$	9.49854	+	10.9619i	0.376938	+	0.435010i
$636$	0.711740	−	4.95026i	0.0282223	−	0.196291i
$637$	−0.0730952	+	0.508388i	−0.00289614	+	0.0201431i
$638$	−11.9719	−	13.8163i	−0.473971	−	0.546992i
$639$	0.0685629	+	0.150132i	0.00271231	+	0.00593912i
$640$	9.63037			0.380674
$641$	−41.8024			−1.65110			−0.825549	−	0.564331i	$-0.809134\pi$
$641$	−41.8024			−1.65110			−0.825549	+	0.564331i	$0.809134\pi$
$642$	2.72367	+	5.96400i	0.107495	+	0.235380i
$643$	−1.14351	−	0.734888i	−0.0450955	−	0.0289811i	0.517899	−	0.855442i	$-0.326714\pi$
$643$	−1.14351	−	0.734888i	−0.0450955	−	0.0289811i	−0.562994	+	0.826461i	$0.690351\pi$
$644$	−2.83258	−	0.831721i	−0.111619	−	0.0327744i
$645$	4.50759	−	9.87025i	0.177486	−	0.388641i
$646$	−7.42094	−	2.17898i	−0.291973	−	0.0857310i
$647$	−14.3763	+	16.5911i	−0.565189	+	0.652263i	−0.964354	−	0.264616i	$-0.914755\pi$
$647$	−14.3763	+	16.5911i	−0.565189	+	0.652263i	0.399164	+	0.916879i	$0.369300\pi$
$648$	13.7915	+	15.9162i	0.541781	+	0.625249i
$649$	−39.2337	−	25.2139i	−1.54006	−	0.989734i
$650$	−4.15709	+	4.79754i	−0.163055	+	0.188175i
$651$	3.06227	−	21.2985i	0.120020	−	0.834756i
$652$	−8.44328	+	2.47917i	−0.330664	+	0.0970918i
$653$	−0.0997192	−	0.0292802i	−0.00390231	−	0.00114582i	0.279781	−	0.960064i	$-0.409738\pi$
$653$	−0.0997192	−	0.0292802i	−0.00390231	−	0.00114582i	−0.283683	+	0.958918i	$0.591556\pi$
$654$	−32.0010	+	20.5658i	−1.25134	+	0.804186i
$655$	0.841434	−	5.85231i	0.0328776	−	0.228668i
$656$	−24.3938	+	7.16266i	−0.952417	+	0.279655i
$657$	−0.248958	+	0.545142i	−0.00971277	+	0.0212680i
$658$	−19.9010	+	43.5771i	−0.775822	+	1.69881i
$659$	4.67072	−	3.00169i	0.181945	−	0.116929i	−0.446498	−	0.894785i	$-0.647329\pi$
$659$	4.67072	−	3.00169i	0.181945	−	0.116929i	0.628443	+	0.777856i	$0.283693\pi$
$660$	1.24013	+	1.43118i	0.0482719	+	0.0557087i
$661$	5.66734	+	39.4172i	0.220434	+	1.53315i	0.736402	+	0.676544i	$0.236523\pi$
$661$	5.66734	+	39.4172i	0.220434	+	1.53315i	−0.515968	+	0.856608i	$0.672568\pi$
$662$	−15.4202	−	33.7656i	−0.599323	−	1.31234i
$663$	−0.162003	−	1.12676i	−0.00629169	−	0.0437597i
$664$	−29.9433	−	19.2434i	−1.16203	−	0.746789i
$665$	11.1916	−	7.19243i	0.433993	−	0.278911i
$666$	2.31177	−	0.678796i	0.0895791	−	0.0263028i
$667$	5.28329	−	6.09724i	0.204570	−	0.236086i
$668$	0.498461	+	3.46687i	0.0192860	+	0.134137i
$669$	−13.3825			−0.517397
$670$	−8.63664	−	2.71681i	−0.333662	−	0.104959i
$671$	5.28838			0.204156
$672$	−1.43575	−	9.98584i	−0.0553852	−	0.385212i
$673$	12.4889	−	14.4130i	0.481412	−	0.555579i	−0.462138	−	0.886808i	$-0.652918\pi$
$673$	12.4889	−	14.4130i	0.481412	−	0.555579i	0.943551	+	0.331228i	$0.107463\pi$
$674$	−20.9187	+	6.14228i	−0.805758	+	0.236592i
$675$	20.1329	−	12.9386i	0.774915	−	0.498008i
$676$	−3.99815	−	2.56946i	−0.153775	−	0.0988253i
$677$	0.200027	+	1.39122i	0.00768767	+	0.0534689i	0.993304	−	0.115528i	$-0.0368561\pi$
$677$	0.200027	+	1.39122i	0.00768767	+	0.0534689i	−0.985616	+	0.168997i	$0.945947\pi$
$678$	18.0878	+	39.6069i	0.694660	+	1.52109i
$679$	−0.918231	−	6.38644i	−0.0352385	−	0.245089i
$680$	0.862168	+	0.994995i	0.0330626	+	0.0381563i
$681$	−10.9140	+	7.01398i	−0.418224	+	0.268776i
$682$	12.0289	−	26.3397i	0.460612	−	1.00860i
$683$	−16.9618	+	37.1411i	−0.649024	+	1.42116i	0.243382	+	0.969930i	$0.421743\pi$
$683$	−16.9618	+	37.1411i	−0.649024	+	1.42116i	−0.892406	+	0.451233i	$0.850984\pi$
$684$	−0.428924	+	0.125943i	−0.0164003	+	0.00481557i
$685$	−0.0409943	+	0.285121i	−0.00156631	+	0.0108939i
$686$	23.0294	−	14.8001i	0.879265	−	0.565069i
$687$	−4.75592	−	1.39646i	−0.181450	−	0.0532784i
$688$	−40.0391	+	11.7565i	−1.52648	+	0.448214i
$689$	0.990330	−	6.88790i	0.0377286	−	0.262408i
$690$	−3.34855	+	3.86443i	−0.127477	+	0.147116i
$691$	−20.2863	−	13.0372i	−0.771726	−	0.495958i	0.0945521	−	0.995520i	$-0.469858\pi$
$691$	−20.2863	−	13.0372i	−0.771726	−	0.495958i	−0.866278	+	0.499561i	$0.833494\pi$
$692$	6.28017	+	7.24771i	0.238736	+	0.275516i
$693$	1.22665	−	1.41564i	0.0465968	−	0.0537755i
$694$	33.3616	+	9.79585i	1.26639	+	0.371845i
$695$	−0.0162280	+	0.0355344i	−0.000615564	+	0.00134790i
$696$	11.7949	+	3.46329i	0.447083	+	0.131276i
$697$	−3.41755	−	2.19633i	−0.129449	−	0.0831918i
$698$	−6.16684	−	13.5035i	−0.233418	−	0.511114i
$699$	−31.3942			−1.18744
$700$	−4.82240			−0.182270
$701$	16.0890	+	35.2299i	0.607672	+	1.33062i	0.924155	+	0.382017i	$0.124771\pi$
$701$	16.0890	+	35.2299i	0.607672	+	1.33062i	−0.316483	+	0.948598i	$0.602502\pi$
$702$	−4.93873	−	5.69960i	−0.186400	−	0.215118i
$703$	−8.86534	+	61.6598i	−0.334363	+	2.32554i
$704$	−3.37301	+	23.4598i	−0.127125	+	0.884175i
$705$	8.88097	+	10.2492i	0.334477	+	0.386007i
$706$	10.9823	+	24.0480i	0.413326	+	0.905057i
$707$	48.3326			1.81773
$708$	−7.61422			−0.286160
$709$	−2.54601	−	5.57499i	−0.0956175	−	0.209373i	0.855779	−	0.517341i	$-0.173078\pi$
$709$	−2.54601	−	5.57499i	−0.0956175	−	0.209373i	−0.951397	+	0.307968i	$0.900351\pi$
$710$	−0.907835	−	0.583430i	−0.0340705	−	0.0218958i
$711$	−1.80771	−	0.530792i	−0.0677944	−	0.0199062i
$712$	−7.43887	+	16.2889i	−0.278783	+	0.610450i
$713$	12.2611	+	3.60018i	0.459181	+	0.134828i
$714$	3.46493	−	3.99874i	0.129672	−	0.149649i
$715$	1.72554	+	1.99138i	0.0645315	+	0.0744733i
$716$	−1.15267	−	0.740779i	−0.0430775	−	0.0276842i
$717$	4.45587	−	5.14234i	0.166407	−	0.192044i
$718$	−2.67881	+	18.6315i	−0.0999723	+	0.695322i
$719$	−35.2623	+	10.3539i	−1.31506	+	0.386137i	−0.862708	−	0.505702i	$-0.831234\pi$
$719$	−35.2623	+	10.3539i	−1.31506	+	0.386137i	−0.452353	+	0.891839i	$0.649415\pi$
$720$	0.537482	+	0.157819i	0.0200308	+	0.00588157i
$721$	27.6091	−	17.7433i	1.02822	−	0.660795i
$722$	5.88334	−	40.9195i	0.218955	−	1.52287i
$723$	−27.9388	+	8.20357i	−1.03905	+	0.305094i
$724$	0.520318	−	1.13934i	0.0193375	−	0.0423432i
$725$	5.47470	−	11.9879i	0.203325	−	0.445220i
$726$	−11.4111	+	7.33350i	−0.423507	+	0.272172i
$727$	4.88201	+	5.63414i	0.181064	+	0.208959i	0.839025	−	0.544093i	$-0.183126\pi$
$727$	4.88201	+	5.63414i	0.181064	+	0.208959i	−0.657961	+	0.753052i	$0.728581\pi$
$728$	−0.890728	−	6.19515i	−0.0330126	−	0.229608i
$729$	11.7753	+	25.7844i	0.436124	+	0.954978i
$730$	−0.557657	−	3.87859i	−0.0206398	−	0.143553i
$731$	−5.60945	−	3.60497i	−0.207473	−	0.133335i
$732$	0.726345	−	0.466793i	0.0268465	−	0.0172532i
$733$	47.9104	−	14.0678i	1.76961	−	0.519605i	0.775830	−	0.630942i	$-0.217332\pi$
$733$	47.9104	−	14.0678i	1.76961	−	0.519605i	0.993783	+	0.111337i	$0.0355133\pi$
$734$	16.0187	−	18.4866i	0.591262	−	0.682353i
$735$	0.0961786	+	0.668937i	0.00354760	+	0.0246741i
$736$	5.99131			0.220842
$737$	14.2641	−	29.7133i	0.525425	−	1.09450i
$738$	−1.43667			−0.0528847
$739$	−1.37161	−	9.53974i	−0.0504554	−	0.350925i	−0.999373	−	0.0354015i	$-0.988729\pi$
$739$	−1.37161	−	9.53974i	−0.0504554	−	0.350925i	0.948918	−	0.315523i	$-0.102180\pi$
$740$	−1.68607	+	1.94583i	−0.0619812	+	0.0715301i
$741$	9.98687	−	2.93241i	0.366877	−	0.107725i
$742$	27.2100	−	17.4868i	0.998909	−	0.641960i
$743$	13.1479	+	8.44961i	0.482348	+	0.309986i	0.759122	−	0.650949i	$-0.225629\pi$
$743$	13.1479	+	8.44961i	0.482348	+	0.309986i	−0.276773	+	0.960935i	$0.589265\pi$
$744$	2.77098	+	19.2726i	0.101589	+	0.706566i
$745$	−2.09054	−	4.57763i	−0.0765913	−	0.167712i
$746$	2.06299	+	14.3484i	0.0755315	+	0.525333i
$747$	−1.58472	−	1.82886i	−0.0579818	−	0.0669146i
$748$	0.978983	−	0.629154i	0.0357952	−	0.0230042i
$749$	−2.87896	+	6.30404i	−0.105195	+	0.230345i
$750$	−7.33536	+	16.0622i	−0.267850	+	0.586509i
$751$	−4.68885	+	1.37677i	−0.171099	+	0.0502391i	−0.366160	−	0.930552i	$-0.619328\pi$
$751$	−4.68885	+	1.37677i	−0.171099	+	0.0502391i	0.195061	+	0.980791i	$0.437509\pi$
$752$	7.42236	−	51.6236i	0.270666	−	1.88252i
$753$	9.82864	−	6.31649i	0.358176	−	0.230186i
$754$	−3.98481	−	1.17004i	−0.145118	−	0.0426105i
$755$	2.34470	−	0.688466i	0.0853324	−	0.0250559i
$756$	0.815341	−	5.67082i	0.0296537	−	0.206246i
$757$	10.3866	−	11.9868i	0.377508	−	0.435668i	−0.534921	−	0.844902i	$-0.679659\pi$
$757$	10.3866	−	11.9868i	0.377508	−	0.435668i	0.912429	+	0.409234i	$0.134204\pi$
$758$	38.3547	+	24.6491i	1.39311	+	0.895294i
$759$	−12.1901	−	14.0681i	−0.442472	−	0.510640i
$760$	−7.88325	+	9.09776i	−0.285956	+	0.330010i
$761$	−16.8213	−	4.93918i	−0.609772	−	0.179045i	−0.0377548	−	0.999287i	$-0.512021\pi$
$761$	−16.8213	−	4.93918i	−0.609772	−	0.179045i	−0.572017	+	0.820242i	$0.693839\pi$
$762$	−21.9120	+	47.9806i	−0.793787	+	1.73815i
$763$	−38.5797	−	11.3280i	−1.39668	−	0.410102i
$764$	−0.839963	−	0.539811i	−0.0303888	−	0.0195297i
$765$	0.0371839	+	0.0814215i	0.00134439	+	0.00294380i
$766$	−10.2856			−0.371635
$767$	−10.5946			−0.382548
$768$	6.32052	+	13.8400i	0.228072	+	0.499409i
$769$	−2.96177	−	3.41806i	−0.106804	−	0.123259i	0.699830	−	0.714309i	$-0.253259\pi$
$769$	−2.96177	−	3.41806i	−0.106804	−	0.123259i	−0.806635	+	0.591050i	$0.798713\pi$
$770$	−1.74300	+	12.1228i	−0.0628133	+	0.436876i
$771$	−0.0121241	+	0.0843249i	−0.000436638	+	0.00303689i
$772$	−0.879575	−	1.01508i	−0.0316566	−	0.0365337i
$773$	−14.3898	−	31.5092i	−0.517564	−	1.13331i	−0.970354	−	0.241689i	$-0.922299\pi$
$773$	−14.3898	−	31.5092i	−0.517564	−	1.13331i	0.452790	−	0.891617i	$-0.350429\pi$
$774$	−2.35811			−0.0847604
$775$	20.8742			0.749822
$776$	2.42535	+	5.31077i	0.0870648	+	0.190645i
$777$	−35.8509	−	23.0400i	−1.28614	−	0.826555i
$778$	36.3405	+	10.6705i	1.30287	+	0.382557i
$779$	15.4306	−	33.7884i	0.552860	−	1.21059i
$780$	0.412772	+	0.121201i	0.0147796	+	0.00433969i
$781$	2.57264	−	2.96898i	0.0920563	−	0.106239i
$782$	2.05773	+	2.37474i	0.0735842	+	0.0849207i
$783$	13.1714	+	8.46472i	0.470706	+	0.302504i
$784$	1.70199	−	1.96420i	0.0607854	−	0.0701501i
$785$	−0.531591	+	3.69730i	−0.0189733	+	0.131962i
$786$	20.6302	−	6.05758i	0.735855	−	0.216067i
$787$	−11.8847	−	3.48967i	−0.423645	−	0.124393i	0.0629588	−	0.998016i	$-0.479946\pi$
$787$	−11.8847	−	3.48967i	−0.423645	−	0.124393i	−0.486604	+	0.873623i	$0.661765\pi$
$788$	0.112859	−	0.0725303i	0.00402045	−	0.00258378i
$789$	2.78627	−	19.3789i	0.0991938	−	0.689908i
$790$	11.8196	−	3.47054i	0.420522	−	0.123476i
$791$	−19.1191	+	41.8650i	−0.679798	+	1.48855i
$792$	−0.704118	+	1.54180i	−0.0250197	+	0.0547856i
$793$	1.01065	−	0.649506i	0.0358893	−	0.0230646i
$794$	−12.2578	−	14.1462i	−0.435011	−	0.502030i
$795$	−1.30308	−	9.06309i	−0.0462153	−	0.321435i
$796$	1.06825	+	2.33914i	0.0378630	+	0.0829085i
$797$	−2.89174	−	20.1125i	−0.102431	−	0.712420i	−0.974720	−	0.223430i	$-0.928274\pi$
$797$	−2.89174	−	20.1125i	−0.102431	−	0.712420i	0.872289	−	0.488990i	$-0.162635\pi$
$798$	40.6992	+	26.1558i	1.44074	+	0.925904i
$799$	7.01083	−	4.50559i	0.248025	−	0.159396i
$800$	9.39044	−	2.75728i	0.332002	−	0.0974846i
$801$	−0.797267	+	0.920095i	−0.0281700	+	0.0325100i
$802$	6.50700	+	45.2572i	0.229770	+	1.59809i
$803$	14.2648			0.503395
$804$	−0.663590	−	5.34010i	−0.0234030	−	0.188331i
$805$	−5.40491			−0.190498
$806$	−0.936153	−	6.51109i	−0.0329746	−	0.229343i
$807$	−11.3175	+	13.0611i	−0.398395	+	0.459772i
$808$	−41.9635	+	12.3216i	−1.47627	+	0.433472i
$809$	27.4290	−	17.6276i	0.964354	−	0.619753i	0.0391541	−	0.999233i	$-0.487534\pi$
$809$	27.4290	−	17.6276i	0.964354	−	0.619753i	0.925200	+	0.379481i	$0.123897\pi$
$810$	−7.87576	−	5.06145i	−0.276726	−	0.177841i
$811$	−3.63958	−	25.3139i	−0.127803	−	0.888890i	−0.948331	−	0.317283i	$-0.897229\pi$
$811$	−3.63958	−	25.3139i	−0.127803	−	0.888890i	0.820528	−	0.571607i	$-0.193680\pi$
$812$	−1.31060	−	2.86981i	−0.0459930	−	0.100711i
$813$	−3.35690	−	23.3478i	−0.117732	−	0.818842i
$814$	−37.5556	−	43.3414i	−1.31632	−	1.51912i
$815$	−13.5533	+	8.71016i	−0.474751	+	0.305104i
$816$	−2.39291	+	5.23974i	−0.0837686	+	0.183428i
$817$	25.3273	−	55.4591i	0.886090	−	1.94027i
$818$	−28.7577	+	8.44401i	−1.00549	+	0.295238i
$819$	0.0605585	−	0.421194i	0.00211609	−	0.0147177i
$820$	1.29155	−	0.830026i	0.0451028	−	0.0289858i
$821$	−41.0122	−	12.0423i	−1.43133	−	0.420278i	−0.528011	−	0.849238i	$-0.677062\pi$
$821$	−41.0122	−	12.0423i	−1.43133	−	0.420278i	−0.903323	+	0.428960i	$0.858880\pi$
$822$	−1.00509	+	0.295122i	−0.0350567	+	0.0102936i
$823$	−0.503078	+	3.49898i	−0.0175362	+	0.121967i	−0.996709	−	0.0810610i	$-0.974169\pi$
$823$	−0.503078	+	3.49898i	−0.0175362	+	0.121967i	0.979173	+	0.203028i	$0.0650782\pi$
$824$	−19.4475	+	22.4436i	−0.677487	+	0.781861i
$825$	−25.5804	−	16.4395i	−0.890594	−	0.572350i
$826$	−32.2481	−	37.2163i	−1.12205	−	1.29492i
$827$	2.86630	−	3.30789i	0.0996711	−	0.115027i	−0.703722	−	0.710475i	$-0.748480\pi$
$827$	2.86630	−	3.30789i	0.0996711	−	0.115027i	0.803394	+	0.595448i	$0.203026\pi$
$828$	0.174262	+	0.0511679i	0.00605602	+	0.00177821i
$829$	−17.5289	+	38.3830i	−0.608805	+	1.33310i	0.314584	+	0.949230i	$0.398135\pi$
$829$	−17.5289	+	38.3830i	−0.608805	+	1.33310i	−0.923388	+	0.383867i	$0.874592\pi$
$830$	15.1816	+	4.45773i	0.526962	+	0.154730i
$831$	1.48023	+	0.951284i	0.0513485	+	0.0329997i
$832$	2.23667	+	4.89762i	0.0775426	+	0.169795i
$833$	0.415298			0.0143892
$834$	−0.142061			−0.00491918
$835$	2.66386	+	5.83304i	0.0921866	+	0.201861i
$836$	6.96804	+	8.04155i	0.240995	+	0.278123i
$837$	−3.52927	+	24.5466i	−0.121989	+	0.848456i
$838$	6.73184	−	46.8210i	0.232548	−	1.61740i
$839$	17.8569	+	20.6080i	0.616490	+	0.711468i	0.975037	−	0.222044i	$-0.0712730\pi$
$839$	17.8569	+	20.6080i	0.616490	+	0.711468i	−0.358546	+	0.933512i	$0.616728\pi$
$840$	−3.42111	−	7.49118i	−0.118039	−	0.258470i
$841$	−20.3781			−0.702693
$842$	60.9179			2.09937
$843$	−2.43103	−	5.32321i	−0.0837291	−	0.183341i
$844$	−1.97180	−	1.26720i	−0.0678723	−	0.0436188i
$845$	−8.34877	−	2.45142i	−0.287206	−	0.0843314i
$846$	1.22432	−	2.68089i	0.0420930	−	0.0921708i
$847$	−13.7570	−	4.03943i	−0.472698	−	0.138797i
$848$	−23.0594	+	26.6120i	−0.791864	+	0.913860i
$849$	−23.5172	−	27.1403i	−0.807107	−	0.931452i
$850$	4.31806	+	2.77505i	0.148108	+	0.0951833i
$851$	16.5736	−	19.1269i	0.568135	−	0.655662i
$852$	0.0912795	−	0.634863i	0.00312719	−	0.0217501i
$853$	8.34508	−	2.45034i	0.285730	−	0.0838980i	−0.135727	−	0.990746i	$-0.543337\pi$
$853$	8.34508	−	2.45034i	0.285730	−	0.0838980i	0.421457	+	0.906848i	$0.361519\pi$
$854$	5.35781	+	1.57319i	0.183340	+	0.0538336i
$855$	−0.688515	+	0.442482i	−0.0235467	+	0.0151326i
$856$	0.892468	−	6.20725i	0.0305039	−	0.212160i
$857$	18.5304	−	5.44102i	0.632986	−	0.185862i	0.0505287	−	0.998723i	$-0.483909\pi$
$857$	18.5304	−	5.44102i	0.632986	−	0.185862i	0.582458	+	0.812861i	$0.302091\pi$
$858$	−3.98061	+	8.71632i	−0.135896	+	0.297570i
$859$	20.1032	−	44.0199i	0.685913	−	1.50194i	−0.170341	−	0.985385i	$-0.554487\pi$
$859$	20.1032	−	44.0199i	0.685913	−	1.50194i	0.856254	−	0.516555i	$-0.172786\pi$
$860$	2.11990	−	1.36238i	0.0722880	−	0.0464566i
$861$	16.6410	+	19.2047i	0.567123	+	0.654495i
$862$	−3.51977	−	24.4805i	−0.119884	−	0.833810i
$863$	−11.8443	−	25.9353i	−0.403184	−	0.882849i	−0.996938	−	0.0782022i	$-0.975082\pi$
$863$	−11.8443	−	25.9353i	−0.403184	−	0.882849i	0.593754	−	0.804647i	$-0.297645\pi$
$864$	1.65470	+	11.5087i	0.0562941	+	0.391534i
$865$	14.7706	+	9.49248i	0.502215	+	0.322754i
$866$	28.5010	−	18.3165i	0.968504	−	0.622420i
$867$	26.5609	−	7.79897i	0.902054	−	0.264867i
$868$	3.27241	−	3.77656i	0.111073	−	0.128185i
$869$	6.38205	+	44.3882i	0.216496	+	1.50577i
$870$	−5.46456			−0.185266
$871$	−0.923332	−	7.43033i	−0.0312859	−	0.251767i
$872$	36.3837			1.23211
$873$	0.0564900	+	0.392897i	0.00191190	+	0.0132975i
$874$	−18.8149	+	21.7135i	−0.636423	+	0.734471i
$875$	−17.9086	+	5.25845i	−0.605422	+	0.177768i
$876$	1.95924	−	1.25913i	0.0661965	−	0.0425419i
$877$	−5.69296	−	3.65864i	−0.192238	−	0.123544i	0.440981	−	0.897516i	$-0.354630\pi$
$877$	−5.69296	−	3.65864i	−0.192238	−	0.123544i	−0.633219	+	0.773973i	$0.718267\pi$
$878$	6.22162	+	43.2723i	0.209970	+	1.46037i
$879$	10.4210	+	22.8187i	0.351490	+	0.769657i
$880$	−1.89756	−	13.1978i	−0.0639668	−	0.444899i
$881$	−2.54818	−	2.94076i	−0.0858505	−	0.0990767i	0.711199	−	0.702991i	$-0.248152\pi$
$881$	−2.54818	−	2.94076i	−0.0858505	−	0.0990767i	−0.797049	+	0.603914i	$0.793607\pi$
$882$	0.123554	−	0.0794032i	0.00416028	−	0.00267365i
$883$	11.5445	−	25.2790i	0.388504	−	0.850704i	−0.609804	−	0.792552i	$-0.708752\pi$
$883$	11.5445	−	25.2790i	0.388504	−	0.850704i	0.998308	−	0.0581522i	$-0.0185209\pi$
$884$	0.109820	−	0.240473i	0.00369365	−	0.00808797i
$885$	−13.3757	+	3.92745i	−0.449618	+	0.132020i
$886$	2.47118	−	17.1874i	0.0830210	−	0.577423i
$887$	−35.7372	+	22.9669i	−1.19994	+	0.771153i	−0.978945	−	0.204123i	$-0.934566\pi$
$887$	−35.7372	+	22.9669i	−1.19994	+	0.771153i	−0.220992	+	0.975276i	$0.570929\pi$
$888$	37.0003	+	10.8643i	1.24165	+	0.364581i
$889$	−53.4961	+	15.7079i	−1.79420	+	0.526825i
$890$	1.13287	−	7.87925i	0.0379737	−	0.264113i
$891$	22.3185	−	25.7569i	0.747697	−	0.862888i
$892$	−2.61451	−	1.68024i	−0.0875401	−	0.0562586i
$893$	49.9005	+	57.5883i	1.66986	+	1.92712i
$894$	11.9844	−	13.8307i	0.400818	−	0.462569i
$895$	−2.40696	−	0.706748i	−0.0804559	−	0.0236240i
$896$	−15.3779	+	33.6730i	−0.513740	+	1.12493i
$897$	−4.05743	−	1.19137i	−0.135474	−	0.0397787i
$898$	−2.78560	−	1.79020i	−0.0929566	−	0.0597396i
$899$	5.67304	+	12.4222i	0.189207	+	0.414305i
$900$	0.296676			0.00988921
$901$	−5.62666			−0.187451
$902$	14.2057	+	31.1062i	0.472999	+	1.03572i
$903$	27.3139	+	31.5219i	0.908950	+	1.04898i
$904$	5.92687	−	41.2223i	0.197125	−	1.37103i
$905$	0.326351	−	2.26982i	0.0108483	−	0.0754514i
$906$	5.81951	+	6.71607i	0.193340	+	0.223127i
$907$	21.0376	+	46.0659i	0.698542	+	1.52959i	0.841730	+	0.539899i	$0.181537\pi$
$907$	21.0376	+	46.0659i	0.698542	+	1.52959i	−0.143188	+	0.989696i	$0.545735\pi$
$908$	−3.01288			−0.0999860
$909$	−2.97344			−0.0986229
$910$	1.15579	+	2.53084i	0.0383142	+	0.0838964i
$911$	−8.34445	−	5.36265i	−0.276464	−	0.177673i	0.395060	−	0.918655i	$-0.370724\pi$
$911$	−8.34445	−	5.36265i	−0.276464	−	0.177673i	−0.671524	+	0.740983i	$0.734360\pi$
$912$	−50.5358	−	14.8387i	−1.67341	−	0.491357i
$913$	−23.9281	+	52.3953i	−0.791905	+	1.73403i
$914$	−25.1893	−	7.39624i	−0.833188	−	0.244646i
$915$	1.03517	−	1.19465i	0.0342218	−	0.0394940i
$916$	−0.753820	−	0.869955i	−0.0249069	−	0.0287441i
$917$	19.1192	+	12.2872i	0.631372	+	0.405758i
$918$	−3.99334	+	4.60856i	−0.131800	+	0.152105i
$919$	−3.36371	+	23.3951i	−0.110959	+	0.771734i	0.856032	+	0.516923i	$0.172923\pi$
$919$	−3.36371	+	23.3951i	−0.110959	+	0.771734i	−0.966991	+	0.254812i	$0.917987\pi$
$920$	4.69267	−	1.37789i	0.154713	−	0.0454278i
$921$	−19.0741	−	5.60067i	−0.628514	−	0.184548i
$922$	−54.3177	+	34.9079i	−1.78886	+	1.14963i
$923$	0.127008	−	0.883362i	0.00418053	−	0.0290762i
$924$	−6.98444	+	2.05082i	−0.229771	+	0.0674669i
$925$	17.1740	−	37.6058i	0.564678	−	1.23647i
$926$	23.7454	−	51.9952i	0.780323	−	1.70867i
$927$	−1.69853	+	1.09158i	−0.0557869	+	0.0358521i
$928$	4.19293	+	4.83890i	0.137640	+	0.158845i
$929$	−5.23958	−	36.4421i	−0.171905	−	1.19563i	−0.874854	−	0.484386i	$-0.839043\pi$
$929$	−5.23958	−	36.4421i	−0.171905	−	1.19563i	0.702949	−	0.711240i	$-0.251866\pi$
$930$	−3.59557	−	7.87321i	−0.117904	−	0.258173i
$931$	0.540410	+	3.75863i	0.0177112	+	0.123184i
$932$	−6.13341	−	3.94170i	−0.200906	−	0.129115i
$933$	−33.9445	+	21.8148i	−1.11129	+	0.714184i
$934$	−12.6474	+	3.71361i	−0.413835	+	0.121513i
$935$	1.39523	−	1.61018i	0.0456288	−	0.0526585i
$936$	0.0547980	+	0.381129i	0.00179113	+	0.0124576i
$937$	22.5906			0.738004			0.369002	−	0.929429i	$-0.379700\pi$
$937$	22.5906			0.738004			0.369002	+	0.929429i	$0.379700\pi$
$938$	23.2905	−	25.8601i	0.760463	−	0.844362i
$939$	21.9215			0.715382
$940$	0.448216	+	3.11741i	0.0146192	+	0.101679i
$941$	5.26296	−	6.07378i	0.171568	−	0.198000i	−0.663453	−	0.748218i	$-0.730910\pi$
$941$	5.26296	−	6.07378i	0.171568	−	0.198000i	0.835021	+	0.550218i	$0.185455\pi$
$942$	−13.0335	+	3.82698i	−0.424654	+	0.124690i
$943$	−12.6955	+	8.15891i	−0.413423	+	0.265691i
$944$	45.1004	+	28.9843i	1.46789	+	0.943358i
$945$	−1.49275	−	10.3823i	−0.0485592	−	0.337736i
$946$	23.3168	+	51.0567i	0.758094	+	1.66000i
$947$	6.26119	+	43.5475i	0.203461	+	1.41510i	0.793913	+	0.608031i	$0.208041\pi$
$947$	6.26119	+	43.5475i	0.203461	+	1.41510i	−0.590452	+	0.807073i	$0.701050\pi$
$948$	4.79460	+	5.53326i	0.155721	+	0.179712i
$949$	2.72612	−	1.75197i	0.0884937	−	0.0568714i
$950$	−19.4965	+	42.6914i	−0.632550	+	1.38509i
$951$	−11.8189	+	25.8798i	−0.383255	+	0.839211i
$952$	−4.85576	+	1.42578i	−0.157376	+	0.0462098i
$953$	2.27730	−	15.8390i	0.0737690	−	0.513075i	−0.919115	−	0.393989i	$-0.871095\pi$
$953$	2.27730	−	15.8390i	0.0737690	−	0.513075i	0.992884	−	0.119085i	$-0.0379962\pi$
$954$	−1.67397	+	1.07580i	−0.0541968	+	0.0348302i
$955$	−1.75397	−	0.515013i	−0.0567573	−	0.0166654i
$956$	1.51618	−	0.445191i	0.0490368	−	0.0143985i
$957$	2.83110	−	19.6907i	0.0915164	−	0.636511i
$958$	−6.70513	+	7.73813i	−0.216633	+	0.250008i
$959$	−0.931478	−	0.598624i	−0.0300790	−	0.0193306i
$960$	4.63936	+	5.35411i	0.149735	+	0.172803i
$961$	6.13577	−	7.08105i	0.197928	−	0.228421i
$962$	−12.5003	−	3.67041i	−0.403024	−	0.118339i
$963$	0.177115	−	0.387827i	0.00570745	−	0.0124976i
$964$	−6.48834	−	1.90515i	−0.208975	−	0.0613607i
$965$	−2.06871	−	1.32948i	−0.0665940	−	0.0427974i
$966$	−8.16512	−	17.8791i	−0.262708	−	0.575251i
$967$	34.3121			1.10340			0.551701	−	0.834042i	$-0.313979\pi$
$967$	34.3121			1.10340			0.551701	+	0.834042i	$0.313979\pi$
$968$	12.9740			0.416999
$969$	−3.49615	−	7.65551i	−0.112313	−	0.245930i
$970$	−1.69959	−	1.96143i	−0.0545705	−	0.0629777i
$971$	−7.28770	+	50.6871i	−0.233873	+	1.62663i	0.447216	+	0.894426i	$0.352415\pi$
$971$	−7.28770	+	50.6871i	−0.233873	+	1.62663i	−0.681090	+	0.732200i	$0.738494\pi$
$972$	−0.0976427	+	0.679120i	−0.00313189	+	0.0217828i
$973$	−0.0983344	−	0.113484i	−0.00315246	−	0.00363813i
$974$	−15.1429	−	33.1584i	−0.485211	−	1.06246i
$975$	−6.90767			−0.221223
$976$	−6.07917			−0.194589
$977$	−8.32653	−	18.2326i	−0.266389	−	0.583311i	0.728413	−	0.685139i	$-0.240258\pi$
$977$	−8.32653	−	18.2326i	−0.266389	−	0.583311i	−0.994802	+	0.101827i	$0.967531\pi$
$978$	−49.2874	−	31.6751i	−1.57604	−	1.01286i
$979$	27.8048	+	8.16423i	0.888645	+	0.260930i
$980$	−0.0651983	+	0.142764i	−0.00208268	+	0.00456044i
$981$	2.37344	+	0.696906i	0.0757782	+	0.0222505i
$982$	30.6605	−	35.3841i	0.978415	−	1.12915i
$983$	−14.2475	−	16.4424i	−0.454423	−	0.524432i	0.481590	−	0.876397i	$-0.340059\pi$
$983$	−14.2475	−	16.4424i	−0.454423	−	0.524432i	−0.936014	+	0.351964i	$0.885514\pi$
$984$	−19.3440	−	12.4316i	−0.616664	−	0.396306i
$985$	0.160845	−	0.185625i	0.00512495	−	0.00591450i
$986$	−0.477899	+	3.32386i	−0.0152194	+	0.105853i
$987$	−50.0180	+	14.6866i	−1.59209	+	0.467480i
$988$	2.31929	+	0.681005i	0.0737865	+	0.0216657i
$989$	−20.8380	+	13.3918i	−0.662609	+	0.425833i
$990$	0.107230	−	0.745802i	0.00340800	−	0.0237031i
$991$	−42.6254	+	12.5160i	−1.35404	+	0.397583i	−0.876659	−	0.481113i	$-0.840233\pi$
$991$	−42.6254	+	12.5160i	−1.35404	+	0.397583i	−0.477383	+	0.878695i	$0.658415\pi$
$992$	−4.21291	+	9.22498i	−0.133760	+	0.292894i
$993$	16.7796	−	36.7422i	0.532484	−	1.16598i
$994$	3.48963	−	2.24265i	0.110684	−	0.0711326i
$995$	3.08309	+	3.55808i	0.0977406	+	0.112799i
$996$	1.33835	+	9.30843i	0.0424073	+	0.294949i
$997$	4.70991	+	10.3133i	0.149164	+	0.326624i	0.969434	−	0.245353i	$-0.0789039\pi$
$997$	4.70991	+	10.3133i	0.149164	+	0.326624i	−0.820270	+	0.571977i	$0.806177\pi$
$998$	2.22310	+	15.4620i	0.0703711	+	0.489441i
$999$	41.3183	+	26.5537i	1.30725	+	0.840120i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	67.2.e.a.25.1	✓	10
3.2	odd	2		603.2.u.b.226.1		10
67.27	odd	22		4489.2.a.k.1.4		5
67.40	even	11		4489.2.a.f.1.2		5
67.59	even	11	inner	67.2.e.a.59.1	yes	10
201.59	odd	22		603.2.u.b.595.1		10

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
67.2.e.a.25.1	✓	10	1.1	even	1	trivial
67.2.e.a.59.1	yes	10	67.59	even	11	inner
603.2.u.b.226.1		10	3.2	odd	2
603.2.u.b.595.1		10	201.59	odd	22
4489.2.a.f.1.2		5	67.40	even	11
4489.2.a.k.1.4		5	67.27	odd	22

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	67.e (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.220047 + 1.53046i) q^{2} +(-1.10181 + 1.27155i) q^{3} +(-0.374908 + 0.110083i) q^{4} +(-0.601808 + 0.386758i) q^{5} +(-2.18852 - 1.40647i) q^{6} +(-0.391340 - 2.72183i) q^{7} +(1.03365 + 2.26339i) q^{8} +(0.0240754 + 0.167448i) q^{9} +(-0.724345 - 0.835939i) q^{10} +(3.38745 - 2.17698i) q^{11} +(0.273100 - 0.598006i) q^{12} +(0.379997 - 0.832078i) q^{13} +(4.07954 - 1.19786i) q^{14} +(0.171292 - 1.19136i) q^{15} +(-3.89399 + 2.50252i) q^{16} +(-0.709677 - 0.208380i) q^{17} +(-0.250975 + 0.0736930i) q^{18} +(0.962460 - 6.69406i) q^{19} +(0.183047 - 0.211248i) q^{20} +(3.89213 + 2.50132i) q^{21} +(4.07719 + 4.70533i) q^{22} +(-1.79930 + 2.07650i) q^{23} +(-4.01691 - 1.17947i) q^{24} +(-1.86448 + 4.08265i) q^{25} +(1.35708 + 0.398475i) q^{26} +(-4.48569 - 2.88278i) q^{27} +(0.446343 + 0.977355i) q^{28} -2.93631 q^{29} +1.86103 q^{30} +(-1.93203 - 4.23056i) q^{31} +(-1.42796 - 1.64795i) q^{32} +(-0.964170 + 6.70595i) q^{33} +(0.162755 - 1.13199i) q^{34} +(1.28820 + 1.48666i) q^{35} +(-0.0274592 - 0.0601273i) q^{36} -9.21113 q^{37} +10.4568 q^{38} +(0.639348 + 1.39998i) q^{39} +(-1.49745 - 0.962350i) q^{40} +(5.27001 + 1.54741i) q^{41} +(-2.97172 + 6.50717i) q^{42} +(8.65000 + 2.53987i) q^{43} +(-1.03033 + 1.18907i) q^{44} +(-0.0792507 - 0.0914602i) q^{45} +(-3.57394 - 2.29683i) q^{46} +(-7.37858 + 8.51533i) q^{47} +(1.10835 - 7.70871i) q^{48} +(-0.538744 + 0.158189i) q^{49} +(-6.65862 - 1.95515i) q^{50} +(1.04689 - 0.672798i) q^{51} +(-0.0508664 + 0.353784i) q^{52} +(7.29917 - 2.14323i) q^{53} +(3.42492 - 7.49953i) q^{54} +(-1.19663 + 2.62025i) q^{55} +(5.75604 - 3.69918i) q^{56} +(7.45141 + 8.59938i) q^{57} +(-0.646126 - 4.49391i) q^{58} +(-4.81136 - 10.5354i) q^{59} +(0.0669300 + 0.465508i) q^{60} +(1.10485 + 0.710043i) q^{61} +(6.04958 - 3.88783i) q^{62} +(0.446343 - 0.131058i) q^{63} +(-3.85452 + 4.44835i) q^{64} +(0.0931278 + 0.647718i) q^{65} -10.4754 q^{66} +(6.96951 - 4.29254i) q^{67} +0.289003 q^{68} +(-0.657902 - 4.57581i) q^{69} +(-1.99182 + 2.29868i) q^{70} +(0.936107 - 0.274866i) q^{71} +(-0.354114 + 0.227575i) q^{72} +(2.98021 + 1.91527i) q^{73} +(-2.02688 - 14.0973i) q^{74} +(-3.13701 - 6.86909i) q^{75} +(0.376067 + 2.61561i) q^{76} +(-7.25102 - 8.36812i) q^{77} +(-2.00192 + 1.28656i) q^{78} +(-4.62643 + 10.1305i) q^{79} +(1.37557 - 3.01207i) q^{80} +(8.12103 - 2.38455i) q^{81} +(-1.20861 + 8.40605i) q^{82} +(-12.0339 + 7.73373i) q^{83} +(-1.73454 - 0.509308i) q^{84} +(0.507682 - 0.149069i) q^{85} +(-1.98377 + 13.7974i) q^{86} +(3.23525 - 3.73367i) q^{87} +(8.42882 + 5.41687i) q^{88} +(4.71282 + 5.43888i) q^{89} +(0.122537 - 0.141416i) q^{90} +(-2.41348 - 0.708662i) q^{91} +(0.445984 - 0.976569i) q^{92} +(7.50812 + 2.20458i) q^{93} +(-14.6560 - 9.41886i) q^{94} +(2.00977 + 4.40077i) q^{95} +3.66880 q^{96} +2.34638 q^{97} +(-0.360652 - 0.789718i) q^{98} +(0.446086 + 0.514811i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q - 6 q^{2} - 2 q^{3} + 10 q^{4} + 3 q^{5} - 12 q^{6} + 6 q^{8} - q^{9} - 15 q^{10} + 15 q^{11} - 2 q^{12} - 18 q^{13} + 6 q^{15} - 6 q^{16} - 26 q^{17} - 6 q^{18} - q^{19} + 25 q^{20} + 11 q^{21}+ \cdots + 15 q^{99}+O(q^{100}) \) 10 * q - 6 * q^2 - 2 * q^3 + 10 * q^4 + 3 * q^5 - 12 * q^6 + 6 * q^8 - q^9 - 15 * q^10 + 15 * q^11 - 2 * q^12 - 18 * q^13 + 6 * q^15 - 6 * q^16 - 26 * q^17 - 6 * q^18 - q^19 + 25 * q^20 + 11 * q^21 - 9 * q^22 - 6 * q^23 + q^24 - 4 * q^25 + 24 * q^26 - 29 * q^27 + 11 * q^28 + 28 * q^29 - 8 * q^30 - 10 * q^31 - 4 * q^32 + 8 * q^33 + 64 * q^34 - q^36 - 22 * q^37 - 6 * q^38 + 8 * q^39 - 18 * q^40 + 9 * q^41 + 11 * q^42 + 21 * q^43 + 48 * q^44 + 3 * q^45 - 25 * q^46 - 22 * q^47 - 12 * q^48 + 7 * q^49 - 35 * q^50 + 3 * q^51 - 62 * q^52 + 20 * q^53 + 13 * q^54 - 23 * q^55 - 11 * q^56 + 9 * q^57 - 8 * q^58 - 17 * q^59 + 17 * q^60 + 13 * q^61 + 50 * q^62 + 11 * q^63 + 10 * q^64 + 10 * q^65 - 62 * q^66 + 23 * q^67 - 114 * q^68 - 12 * q^69 + 11 * q^70 + q^71 - 16 * q^72 - 18 * q^73 + 22 * q^74 + 14 * q^75 + 21 * q^76 - 22 * q^77 + 37 * q^78 + 5 * q^79 + 18 * q^80 + 11 * q^81 - 12 * q^82 - 12 * q^83 - 11 * q^84 + 23 * q^85 - 61 * q^86 - 10 * q^87 - 2 * q^88 + 51 * q^89 + 18 * q^90 - 11 * q^91 + 38 * q^92 + 13 * q^93 + 11 * q^94 + 3 * q^95 - 8 * q^96 - 10 * q^97 - 2 * q^98 + 15 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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