LMFDB - Embedded newform 322.2.i.b.71.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [322,2,Mod(29,322)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(322, base_ring=CyclotomicField(22))

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

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

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

chi := DirichletCharacter("322.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 322 = 2 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	322.i (of order $11$, degree $10$, 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:	$2.57118294509$
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:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			71.1
Root			$0.142315 - 0.989821i$ of defining polynomial
Character	$\chi$	$=$	322.71
Dual form			322.2.i.b.127.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.841254 - 0.540641i) q^{2} +(-0.317178 - 2.20602i) q^{3} +(0.415415 + 0.909632i) q^{4} +(1.95204 + 0.573170i) q^{5} +(-0.925839 + 2.02730i) q^{6} +(0.654861 - 0.755750i) q^{7} +(0.142315 - 0.989821i) q^{8} +(-1.88745 + 0.554206i) q^{9} +O(q^{10})$	\(q+(-0.841254 - 0.540641i) q^{2} +(-0.317178 - 2.20602i) q^{3} +(0.415415 + 0.909632i) q^{4} +(1.95204 + 0.573170i) q^{5} +(-0.925839 + 2.02730i) q^{6} +(0.654861 - 0.755750i) q^{7} +(0.142315 - 0.989821i) q^{8} +(-1.88745 + 0.554206i) q^{9} +(-1.33228 - 1.53753i) q^{10} +(3.96815 - 2.55018i) q^{11} +(1.87491 - 1.20493i) q^{12} +(0.898983 + 1.03748i) q^{13} +(-0.959493 + 0.281733i) q^{14} +(0.645282 - 4.48803i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-0.290980 + 0.637158i) q^{17} +(1.88745 + 0.554206i) q^{18} +(0.0440780 + 0.0965173i) q^{19} +(0.289532 + 2.01374i) q^{20} +(-1.87491 - 1.20493i) q^{21} -4.71695 q^{22} +(-4.71872 + 0.856574i) q^{23} -2.22871 q^{24} +(-0.724345 - 0.465508i) q^{25} +(-0.195368 - 1.35881i) q^{26} +(-0.956265 - 2.09393i) q^{27} +(0.959493 + 0.281733i) q^{28} +(-0.692588 + 1.51656i) q^{29} +(-2.96926 + 3.42671i) q^{30} +(0.731577 - 5.08823i) q^{31} +(0.959493 - 0.281733i) q^{32} +(-6.88436 - 7.94497i) q^{33} +(0.589262 - 0.378696i) q^{34} +(1.71148 - 1.09990i) q^{35} +(-1.28820 - 1.48666i) q^{36} +(-8.95075 + 2.62818i) q^{37} +(0.0151004 - 0.105026i) q^{38} +(2.00357 - 2.31224i) q^{39} +(0.845139 - 1.85060i) q^{40} +(6.87574 + 2.01890i) q^{41} +(0.925839 + 2.02730i) q^{42} +(0.0826345 + 0.574736i) q^{43} +(3.96815 + 2.55018i) q^{44} -4.00203 q^{45} +(4.43274 + 1.83053i) q^{46} +2.84232 q^{47} +(1.87491 + 1.20493i) q^{48} +(-0.142315 - 0.989821i) q^{49} +(0.357685 + 0.783221i) q^{50} +(1.49788 + 0.439817i) q^{51} +(-0.570276 + 1.24873i) q^{52} +(-3.27120 + 3.77517i) q^{53} +(-0.327602 + 2.27852i) q^{54} +(9.20766 - 2.70361i) q^{55} +(-0.654861 - 0.755750i) q^{56} +(0.198939 - 0.127850i) q^{57} +(1.40255 - 0.901367i) q^{58} +(9.39406 + 10.8413i) q^{59} +(4.35052 - 1.27743i) q^{60} +(0.249697 - 1.73668i) q^{61} +(-3.36635 + 3.88497i) q^{62} +(-0.817178 + 1.78937i) q^{63} +(-0.959493 - 0.281733i) q^{64} +(1.16020 + 2.54047i) q^{65} +(1.49611 + 10.4057i) q^{66} +(4.16820 + 2.67874i) q^{67} -0.700457 q^{68} +(3.38629 + 10.1379i) q^{69} -2.03445 q^{70} +(8.96805 + 5.76342i) q^{71} +(0.279953 + 1.94711i) q^{72} +(-2.72743 - 5.97224i) q^{73} +(8.95075 + 2.62818i) q^{74} +(-0.797176 + 1.74557i) q^{75} +(-0.0694846 + 0.0801894i) q^{76} +(0.671292 - 4.66894i) q^{77} +(-2.93560 + 0.861971i) q^{78} +(-10.4541 - 12.0647i) q^{79} +(-1.71148 + 1.09990i) q^{80} +(-9.28053 + 5.96423i) q^{81} +(-4.69274 - 5.41571i) q^{82} +(2.15218 - 0.631938i) q^{83} +(0.317178 - 2.20602i) q^{84} +(-0.933204 + 1.07697i) q^{85} +(0.241209 - 0.528174i) q^{86} +(3.56523 + 1.04685i) q^{87} +(-1.95949 - 4.29069i) q^{88} +(1.90142 + 13.2247i) q^{89} +(3.36672 + 2.16366i) q^{90} +1.37279 q^{91} +(-2.73939 - 3.93646i) q^{92} -11.4568 q^{93} +(-2.39111 - 1.53668i) q^{94} +(0.0307210 + 0.213669i) q^{95} +(-0.925839 - 2.02730i) q^{96} +(15.1451 + 4.44700i) q^{97} +(-0.415415 + 0.909632i) q^{98} +(-6.07638 + 7.01252i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q + q^{2} + 5 q^{3} - q^{4} + 8 q^{5} - 5 q^{6} + q^{7} + q^{8}+O(q^{10}) $ 10 * q + q^2 + 5 * q^3 - q^4 + 8 * q^5 - 5 * q^6 + q^7 + q^8	\( 10 q + q^{2} + 5 q^{3} - q^{4} + 8 q^{5} - 5 q^{6} + q^{7} + q^{8} + 3 q^{10} + 11 q^{11} + 5 q^{12} - 6 q^{13} - q^{14} + 4 q^{15} - q^{16} - 2 q^{17} - 3 q^{19} + 8 q^{20} - 5 q^{21} - 21 q^{23} + 6 q^{24} - 15 q^{25} - 5 q^{26} - 4 q^{27} + q^{28} + 2 q^{29} - 4 q^{30} + 3 q^{31} + q^{32} - 11 q^{33} + 2 q^{34} + 3 q^{35} - 6 q^{37} - 8 q^{38} + 8 q^{39} + 14 q^{40} - 23 q^{41} + 5 q^{42} - q^{43} + 11 q^{44} - 22 q^{45} - q^{46} + 38 q^{47} + 5 q^{48} - q^{49} + 4 q^{50} + 21 q^{51} + 5 q^{52} - 49 q^{53} + 4 q^{54} + 11 q^{55} - q^{56} - 7 q^{57} - 13 q^{58} + 9 q^{59} + 4 q^{60} + 16 q^{61} - 14 q^{62} - q^{64} + 15 q^{65} + 7 q^{67} - 2 q^{68} - 16 q^{69} + 8 q^{70} - 16 q^{71} + 11 q^{72} - 9 q^{73} + 6 q^{74} - 2 q^{75} - 14 q^{76} + 11 q^{77} - 8 q^{78} + 6 q^{79} - 3 q^{80} - 24 q^{81} - 43 q^{82} - 19 q^{83} - 5 q^{84} + 49 q^{85} + 23 q^{86} - 21 q^{87} - 11 q^{88} + 25 q^{89} - 11 q^{90} + 6 q^{91} + q^{92} - 4 q^{93} - 5 q^{94} + 24 q^{95} - 5 q^{96} + 16 q^{97} + q^{98} - 33 q^{99}+O(q^{100}) \) 10 * q + q^2 + 5 * q^3 - q^4 + 8 * q^5 - 5 * q^6 + q^7 + q^8 + 3 * q^10 + 11 * q^11 + 5 * q^12 - 6 * q^13 - q^14 + 4 * q^15 - q^16 - 2 * q^17 - 3 * q^19 + 8 * q^20 - 5 * q^21 - 21 * q^23 + 6 * q^24 - 15 * q^25 - 5 * q^26 - 4 * q^27 + q^28 + 2 * q^29 - 4 * q^30 + 3 * q^31 + q^32 - 11 * q^33 + 2 * q^34 + 3 * q^35 - 6 * q^37 - 8 * q^38 + 8 * q^39 + 14 * q^40 - 23 * q^41 + 5 * q^42 - q^43 + 11 * q^44 - 22 * q^45 - q^46 + 38 * q^47 + 5 * q^48 - q^49 + 4 * q^50 + 21 * q^51 + 5 * q^52 - 49 * q^53 + 4 * q^54 + 11 * q^55 - q^56 - 7 * q^57 - 13 * q^58 + 9 * q^59 + 4 * q^60 + 16 * q^61 - 14 * q^62 - q^64 + 15 * q^65 + 7 * q^67 - 2 * q^68 - 16 * q^69 + 8 * q^70 - 16 * q^71 + 11 * q^72 - 9 * q^73 + 6 * q^74 - 2 * q^75 - 14 * q^76 + 11 * q^77 - 8 * q^78 + 6 * q^79 - 3 * q^80 - 24 * q^81 - 43 * q^82 - 19 * q^83 - 5 * q^84 + 49 * q^85 + 23 * q^86 - 21 * q^87 - 11 * q^88 + 25 * q^89 - 11 * q^90 + 6 * q^91 + q^92 - 4 * q^93 - 5 * q^94 + 24 * q^95 - 5 * q^96 + 16 * q^97 + q^98 - 33 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/322\mathbb{Z}\right)^\times$.

$n$	$185$	$281$
$\chi(n)$	$1$	$e\left(\frac{1}{11}\right)$

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 $

$2$	−0.841254	−	0.540641i	−0.594856	−	0.382291i
$2$	−0.841254	−	0.540641i	−0.594856	−	0.382291i
$3$	−0.317178	−	2.20602i	−0.183123	−	1.27365i	−0.849323	−	0.527874i	$-0.822989\pi$
$3$	−0.317178	−	2.20602i	−0.183123	−	1.27365i	0.666200	−	0.745773i	$-0.267920\pi$
$4$	0.415415	+	0.909632i	0.207708	+	0.454816i
$5$	1.95204	+	0.573170i	0.872977	+	0.256329i	0.687381	−	0.726297i	$-0.258760\pi$
$5$	1.95204	+	0.573170i	0.872977	+	0.256329i	0.185596	+	0.982626i	$0.440578\pi$
$6$	−0.925839	+	2.02730i	−0.377972	+	0.827643i
$7$	0.654861	−	0.755750i	0.247514	−	0.285646i
$7$	0.654861	−	0.755750i	0.247514	−	0.285646i
$8$	0.142315	−	0.989821i	0.0503159	−	0.349955i
$9$	−1.88745	+	0.554206i	−0.629151	+	0.184735i
$10$	−1.33228	−	1.53753i	−0.421303	−	0.486210i
$11$	3.96815	−	2.55018i	1.19644	−	0.768907i	0.218106	−	0.975925i	$-0.430012\pi$
$11$	3.96815	−	2.55018i	1.19644	−	0.768907i	0.978337	+	0.207018i	$0.0663758\pi$
$12$	1.87491	−	1.20493i	0.541239	−	0.347833i
$13$	0.898983	+	1.03748i	0.249333	+	0.287746i	0.866595	−	0.499012i	$-0.166304\pi$
$13$	0.898983	+	1.03748i	0.249333	+	0.287746i	−0.617262	+	0.786758i	$0.711758\pi$
$14$	−0.959493	+	0.281733i	−0.256435	+	0.0752962i
$15$	0.645282	−	4.48803i	0.166611	−	1.15881i
$16$	−0.654861	+	0.755750i	−0.163715	+	0.188937i
$17$	−0.290980	+	0.637158i	−0.0705731	+	0.154534i	−0.941631	−	0.336647i	$-0.890707\pi$
$17$	−0.290980	+	0.637158i	−0.0705731	+	0.154534i	0.871058	+	0.491180i	$0.163434\pi$
$18$	1.88745	+	0.554206i	0.444877	+	0.130628i
$19$	0.0440780	+	0.0965173i	0.0101122	+	0.0221426i	0.914621	−	0.404313i	$-0.132489\pi$
$19$	0.0440780	+	0.0965173i	0.0101122	+	0.0221426i	−0.904509	+	0.426456i	$0.859762\pi$
$20$	0.289532	+	2.01374i	0.0647413	+	0.450285i
$21$	−1.87491	−	1.20493i	−0.409138	−	0.262937i
$22$	−4.71695			−1.00566
$23$	−4.71872	+	0.856574i	−0.983920	+	0.178608i
$23$	−4.71872	+	0.856574i	−0.983920	+	0.178608i
$24$	−2.22871			−0.454933
$25$	−0.724345	−	0.465508i	−0.144869	−	0.0931017i
$26$	−0.195368	−	1.35881i	−0.0383148	−	0.266485i
$27$	−0.956265	−	2.09393i	−0.184033	−	0.402977i
$28$	0.959493	+	0.281733i	0.181327	+	0.0532424i
$29$	−0.692588	+	1.51656i	−0.128610	+	0.281617i	−0.962973	−	0.269599i	$-0.913109\pi$
$29$	−0.692588	+	1.51656i	−0.128610	+	0.281617i	0.834362	+	0.551216i	$0.185836\pi$
$30$	−2.96926	+	3.42671i	−0.542110	+	0.625628i
$31$	0.731577	−	5.08823i	0.131395	−	0.913873i	−0.812343	−	0.583180i	$-0.801808\pi$
$31$	0.731577	−	5.08823i	0.131395	−	0.913873i	0.943738	−	0.330693i	$-0.107283\pi$
$32$	0.959493	−	0.281733i	0.169616	−	0.0498038i
$33$	−6.88436	−	7.94497i	−1.19841	−	1.38304i
$34$	0.589262	−	0.378696i	0.101058	−	0.0649458i
$35$	1.71148	−	1.09990i	0.289294	−	0.185918i
$36$	−1.28820	−	1.48666i	−0.214700	−	0.247777i
$37$	−8.95075	+	2.62818i	−1.47149	+	0.432070i	−0.916585	−	0.399841i	$-0.869065\pi$
$37$	−8.95075	+	2.62818i	−1.47149	+	0.432070i	−0.554910	+	0.831911i	$0.687247\pi$
$38$	0.0151004	−	0.105026i	0.00244961	−	0.0170374i
$39$	2.00357	−	2.31224i	0.320828	−	0.370255i
$40$	0.845139	−	1.85060i	0.133628	−	0.292605i
$41$	6.87574	+	2.01890i	1.07381	+	0.315299i	0.770400	−	0.637561i	$-0.220056\pi$
$41$	6.87574	+	2.01890i	1.07381	+	0.315299i	0.303411	+	0.952860i	$0.401875\pi$
$42$	0.925839	+	2.02730i	0.142860	+	0.312820i
$43$	0.0826345	+	0.574736i	0.0126016	+	0.0876464i	0.995152	−	0.0983521i	$-0.0313571\pi$
$43$	0.0826345	+	0.574736i	0.0126016	+	0.0876464i	−0.982550	+	0.185998i	$0.940448\pi$
$44$	3.96815	+	2.55018i	0.598222	+	0.384454i
$45$	−4.00203			−0.596588
$46$	4.43274	+	1.83053i	0.653571	+	0.269898i
$47$	2.84232			0.414595			0.207298	−	0.978278i	$-0.433533\pi$
$47$	2.84232			0.414595			0.207298	+	0.978278i	$0.433533\pi$
$48$	1.87491	+	1.20493i	0.270620	+	0.173917i
$49$	−0.142315	−	0.989821i	−0.0203307	−	0.141403i
$50$	0.357685	+	0.783221i	0.0505843	+	0.110764i
$51$	1.49788	+	0.439817i	0.209745	+	0.0615866i
$52$	−0.570276	+	1.24873i	−0.0790830	+	0.173168i
$53$	−3.27120	+	3.77517i	−0.449334	+	0.518559i	−0.934548	−	0.355836i	$-0.884196\pi$
$53$	−3.27120	+	3.77517i	−0.449334	+	0.518559i	0.485214	+	0.874395i	$0.338742\pi$
$54$	−0.327602	+	2.27852i	−0.0445809	+	0.310067i
$55$	9.20766	−	2.70361i	1.24156	−	0.364555i
$56$	−0.654861	−	0.755750i	−0.0875094	−	0.100991i
$57$	0.198939	−	0.127850i	0.0263501	−	0.0169342i
$58$	1.40255	−	0.901367i	0.184164	−	0.118355i
$59$	9.39406	+	10.8413i	1.22300	+	1.41142i	0.881929	+	0.471383i	$0.156245\pi$
$59$	9.39406	+	10.8413i	1.22300	+	1.41142i	0.341073	+	0.940037i	$0.389210\pi$
$60$	4.35052	−	1.27743i	0.561649	−	0.164915i
$61$	0.249697	−	1.73668i	0.0319705	−	0.222359i	−0.967572	−	0.252594i	$-0.918716\pi$
$61$	0.249697	−	1.73668i	0.0319705	−	0.222359i	0.999543	+	0.0302345i	$0.00962541\pi$
$62$	−3.36635	+	3.88497i	−0.427526	+	0.493392i
$63$	−0.817178	+	1.78937i	−0.102955	+	0.225439i
$64$	−0.959493	−	0.281733i	−0.119937	−	0.0352166i
$65$	1.16020	+	2.54047i	0.143904	+	0.315107i
$66$	1.49611	+	10.4057i	0.184159	+	1.28085i
$67$	4.16820	+	2.67874i	0.509226	+	0.327260i	0.769897	−	0.638168i	$-0.220307\pi$
$67$	4.16820	+	2.67874i	0.509226	+	0.327260i	−0.260671	+	0.965428i	$0.583944\pi$
$68$	−0.700457			−0.0849429
$69$	3.38629	+	10.1379i	0.407662	+	1.22046i
$70$	−2.03445			−0.243163
$71$	8.96805	+	5.76342i	1.06431	+	0.683992i	0.950882	−	0.309554i	$-0.100180\pi$
$71$	8.96805	+	5.76342i	1.06431	+	0.683992i	0.113430	+	0.993546i	$0.463816\pi$
$72$	0.279953	+	1.94711i	0.0329927	+	0.229470i
$73$	−2.72743	−	5.97224i	−0.319221	−	0.698998i	0.680199	−	0.733027i	$-0.261893\pi$
$73$	−2.72743	−	5.97224i	−0.319221	−	0.698998i	−0.999421	+	0.0340297i	$0.989166\pi$
$74$	8.95075	+	2.62818i	1.04050	+	0.305519i
$75$	−0.797176	+	1.74557i	−0.0920499	+	0.201561i
$76$	−0.0694846	+	0.0801894i	−0.00797042	+	0.00919836i
$77$	0.671292	−	4.66894i	0.0765009	−	0.532075i
$78$	−2.93560	+	0.861971i	−0.332392	+	0.0975990i
$79$	−10.4541	−	12.0647i	−1.17618	−	1.35738i	−0.920559	−	0.390604i	$-0.872266\pi$
$79$	−10.4541	−	12.0647i	−1.17618	−	1.35738i	−0.255619	−	0.966778i	$-0.582279\pi$
$80$	−1.71148	+	1.09990i	−0.191350	+	0.122973i
$81$	−9.28053	+	5.96423i	−1.03117	+	0.662692i
$82$	−4.69274	−	5.41571i	−0.518227	−	0.598066i
$83$	2.15218	−	0.631938i	0.236233	−	0.0693642i	−0.161473	−	0.986877i	$-0.551625\pi$
$83$	2.15218	−	0.631938i	0.236233	−	0.0693642i	0.397706	+	0.917513i	$0.369806\pi$
$84$	0.317178	−	2.20602i	0.0346070	−	0.240697i
$85$	−0.933204	+	1.07697i	−0.101220	+	0.116814i
$86$	0.241209	−	0.528174i	0.0260102	−	0.0569545i
$87$	3.56523	+	1.04685i	0.382233	+	0.112234i
$88$	−1.95949	−	4.29069i	−0.208883	−	0.457389i
$89$	1.90142	+	13.2247i	0.201550	+	1.40181i	0.799686	+	0.600418i	$0.204999\pi$
$89$	1.90142	+	13.2247i	0.201550	+	1.40181i	−0.598136	+	0.801394i	$0.704092\pi$
$90$	3.36672	+	2.16366i	0.354884	+	0.228070i
$91$	1.37279			0.143907
$92$	−2.73939	−	3.93646i	−0.285601	−	0.410404i
$93$	−11.4568			−1.18801
$94$	−2.39111	−	1.53668i	−0.246625	−	0.158496i
$95$	0.0307210	+	0.213669i	0.00315191	+	0.0219220i
$96$	−0.925839	−	2.02730i	−0.0944930	−	0.206911i
$97$	15.1451	+	4.44700i	1.53775	+	0.451524i	0.937412	−	0.348223i	$-0.113215\pi$
$97$	15.1451	+	4.44700i	1.53775	+	0.451524i	0.600338	+	0.799747i	$0.295033\pi$
$98$	−0.415415	+	0.909632i	−0.0419633	+	0.0918867i
$99$	−6.07638	+	7.01252i	−0.610699	+	0.704785i
$100$	0.122537	−	0.852267i	0.0122537	−	0.0852267i
$101$	5.98816	−	1.75828i	0.595844	−	0.174956i	0.0301143	−	0.999546i	$-0.490413\pi$
$101$	5.98816	−	1.75828i	0.595844	−	0.174956i	0.565729	+	0.824591i	$0.308595\pi$
$102$	−1.02231	−	1.17981i	−0.101224	−	0.116819i
$103$	−9.92216	+	6.37659i	−0.977660	+	0.628304i	−0.928831	−	0.370504i	$-0.879185\pi$
$103$	−9.92216	+	6.37659i	−0.977660	+	0.628304i	−0.0488285	+	0.998807i	$0.515549\pi$
$104$	1.15486	−	0.742184i	0.113243	−	0.0727771i
$105$	−2.96926	−	3.42671i	−0.289770	−	0.334412i
$106$	4.79292	−	1.40733i	0.465530	−	0.136692i
$107$	1.08998	−	7.58097i	0.105372	−	0.732880i	−0.866807	−	0.498643i	$-0.833832\pi$
$107$	1.08998	−	7.58097i	0.105372	−	0.732880i	0.972180	−	0.234237i	$-0.0752591\pi$
$108$	1.50746	−	1.73970i	0.145055	−	0.167402i
$109$	−6.84429	+	14.9869i	−0.655564	+	1.43549i	0.231034	+	0.972946i	$0.425789\pi$
$109$	−6.84429	+	14.9869i	−0.655564	+	1.43549i	−0.886598	+	0.462540i	$0.846938\pi$
$110$	−9.20766	−	2.70361i	−0.877916	−	0.257779i
$111$	8.63680	+	18.9120i	0.819769	+	1.79504i
$112$	0.142315	+	0.989821i	0.0134475	+	0.0935293i
$113$	3.86492	+	2.48384i	0.363582	+	0.233660i	0.709657	−	0.704547i	$-0.248850\pi$
$113$	3.86492	+	2.48384i	0.363582	+	0.233660i	−0.346076	+	0.938206i	$0.612486\pi$
$114$	−0.236479			−0.0221483
$115$	−9.70207	−	1.03256i	−0.904722	−	0.0962868i
$116$	−1.66722			−0.154797
$117$	−2.27177	−	1.45998i	−0.210025	−	0.134975i
$118$	−2.04152	−	14.1991i	−0.187937	−	1.30713i
$119$	0.290980	+	0.637158i	0.0266741	+	0.0584082i
$120$	−4.35052	−	1.27743i	−0.397146	−	0.116613i
$121$	4.67327	−	10.2330i	0.424843	−	0.930276i
$122$	−1.14898	+	1.32599i	−0.104024	+	0.120050i
$123$	2.27290	−	15.8084i	0.204941	−	1.42539i
$124$	4.93232	−	1.44826i	0.442936	−	0.130058i
$125$	−7.80853	−	9.01152i	−0.698416	−	0.806015i
$126$	1.65486	−	1.06351i	0.147427	−	0.0947454i
$127$	−11.6419	+	7.48182i	−1.03305	+	0.663904i	−0.943260	−	0.332056i	$-0.892258\pi$
$127$	−11.6419	+	7.48182i	−1.03305	+	0.663904i	−0.0897952	+	0.995960i	$0.528621\pi$
$128$	0.654861	+	0.755750i	0.0578821	+	0.0667995i
$129$	1.24167	−	0.364587i	0.109323	−	0.0321001i
$130$	0.397465	−	2.76443i	0.0348600	−	0.242457i
$131$	−5.18230	+	5.98069i	−0.452780	+	0.522535i	−0.935542	−	0.353216i	$-0.885088\pi$
$131$	−5.18230	+	5.98069i	−0.452780	+	0.522535i	0.482762	+	0.875751i	$0.339634\pi$
$132$	4.36714	−	9.56270i	0.380110	−	0.832326i
$133$	0.101808	+	0.0298935i	0.00882786	+	0.00259209i
$134$	−2.05828	−	4.50700i	−0.177808	−	0.389345i
$135$	−0.666488	−	4.63552i	−0.0573621	−	0.398962i
$136$	0.589262	+	0.378696i	0.0505288	+	0.0324729i
$137$	13.3217			1.13815			0.569073	−	0.822287i	$-0.307302\pi$
$137$	13.3217			1.13815			0.569073	+	0.822287i	$0.307302\pi$
$138$	2.63223	−	10.3593i	0.224071	−	0.881844i
$139$	7.90397			0.670406			0.335203	−	0.942146i	$-0.391195\pi$
$139$	7.90397			0.670406			0.335203	+	0.942146i	$0.391195\pi$
$140$	1.71148	+	1.09990i	0.144647	+	0.0929589i
$141$	−0.901523	−	6.27023i	−0.0759219	−	0.528049i
$142$	−4.42847	−	9.69699i	−0.371629	−	0.813753i
$143$	6.21307	+	1.82432i	0.519563	+	0.152557i
$144$	0.817178	−	1.78937i	0.0680982	−	0.149114i
$145$	−2.22120	+	2.56340i	−0.184461	+	0.212879i
$146$	−0.934376	+	6.49873i	−0.0773295	+	0.537838i
$147$	−2.13843	+	0.627899i	−0.176375	+	0.0517883i
$148$	−6.10895	−	7.05010i	−0.502153	−	0.579515i
$149$	−0.661777	+	0.425299i	−0.0542149	+	0.0348418i	−0.567468	−	0.823396i	$-0.692077\pi$
$149$	−0.661777	+	0.425299i	−0.0542149	+	0.0348418i	0.513253	+	0.858238i	$0.328440\pi$
$150$	1.61435	−	1.03748i	0.131811	−	0.0847101i
$151$	1.46094	+	1.68602i	0.118890	+	0.137206i	0.812074	−	0.583554i	$-0.198338\pi$
$151$	1.46094	+	1.68602i	0.118890	+	0.137206i	−0.693185	+	0.720760i	$0.743793\pi$
$152$	0.101808	−	0.0298935i	0.00825770	−	0.00242468i
$153$	0.196095	−	1.36387i	0.0158533	−	0.110262i
$154$	−3.08895	+	3.56484i	−0.248914	+	0.287263i
$155$	4.34448	−	9.51309i	0.348957	−	0.764110i
$156$	2.93560	+	0.861971i	0.235036	+	0.0690129i
$157$	−1.61440	−	3.53504i	−0.128843	−	0.282127i	0.834206	−	0.551453i	$-0.185926\pi$
$157$	−1.61440	−	3.53504i	−0.128843	−	0.282127i	−0.963049	+	0.269326i	$0.913199\pi$
$158$	2.27189	+	15.8014i	0.180742	+	1.25709i
$159$	9.36566	+	6.01895i	0.742745	+	0.477333i
$160$	2.03445			0.160837
$161$	−2.44275	+	4.12710i	−0.192515	+	0.325261i
$162$	11.0318			0.866739
$163$	−1.04547	−	0.671885i	−0.0818878	−	0.0526261i	0.499056	−	0.866570i	$-0.333680\pi$
$163$	−1.04547	−	0.671885i	−0.0818878	−	0.0526261i	−0.580944	+	0.813944i	$0.697316\pi$
$164$	1.01983	+	7.09308i	0.0796354	+	0.553876i
$165$	−8.88470	−	19.4548i	−0.691673	−	1.51455i
$166$	−2.15218	−	0.631938i	−0.167042	−	0.0490479i
$167$	−0.389143	+	0.852104i	−0.0301128	+	0.0659378i	−0.924091	−	0.382173i	$-0.875176\pi$
$167$	−0.389143	+	0.852104i	−0.0301128	+	0.0659378i	0.893978	+	0.448111i	$0.147903\pi$
$168$	−1.45949	+	1.68434i	−0.112602	+	0.129950i
$169$	1.58189	−	11.0023i	0.121684	−	0.846332i
$170$	1.36732	−	0.401481i	0.104868	−	0.0307922i
$171$	−0.136686	−	0.157744i	−0.0104526	−	0.0120630i
$172$	−0.488470	+	0.313921i	−0.0372455	+	0.0239362i
$173$	−15.8195	+	10.1666i	−1.20273	+	0.772949i	−0.979427	−	0.201800i	$-0.935321\pi$
$173$	−15.8195	+	10.1666i	−1.20273	+	0.772949i	−0.223305	+	0.974749i	$0.571685\pi$
$174$	−2.43330	−	2.80817i	−0.184468	−	0.212887i
$175$	−0.826153	+	0.242580i	−0.0624513	+	0.0183374i
$176$	−0.671292	+	4.66894i	−0.0506006	+	0.351935i
$177$	20.9366	−	24.1621i	1.57369	−	1.81614i
$178$	5.55022	−	12.1533i	0.416007	−	0.910927i
$179$	−0.782405	−	0.229735i	−0.0584797	−	0.0171712i	0.252362	−	0.967633i	$-0.418793\pi$
$179$	−0.782405	−	0.229735i	−0.0584797	−	0.0171712i	−0.310842	+	0.950462i	$0.600611\pi$
$180$	−1.66250	−	3.64038i	−0.123916	−	0.271338i
$181$	0.724455	+	5.03869i	0.0538483	+	0.374523i	0.998870	+	0.0475168i	$0.0151308\pi$
$181$	0.724455	+	5.03869i	0.0538483	+	0.374523i	−0.945022	+	0.327006i	$0.893960\pi$
$182$	−1.15486	−	0.742184i	−0.0856040	−	0.0550143i
$183$	−3.91036			−0.289062
$184$	0.176312	+	4.79259i	0.0129979	+	0.353314i
$185$	−18.9786			−1.39533
$186$	9.63806	+	6.19401i	0.706697	+	0.454167i
$187$	0.470211	+	3.27039i	0.0343853	+	0.239155i
$188$	1.18074	+	2.58547i	0.0861146	+	0.188565i
$189$	−2.20870	−	0.648534i	−0.160660	−	0.0471739i
$190$	0.0896742	−	0.196359i	0.00650565	−	0.0142454i
$191$	4.41823	−	5.09891i	0.319692	−	0.368944i	−0.573044	−	0.819525i	$-0.694237\pi$
$191$	4.41823	−	5.09891i	0.319692	−	0.368944i	0.892736	+	0.450580i	$0.148783\pi$
$192$	−0.317178	+	2.20602i	−0.0228904	+	0.159206i
$193$	−20.6200	+	6.05458i	−1.48426	+	0.435818i	−0.920705	−	0.390260i	$-0.872385\pi$
$193$	−20.6200	+	6.05458i	−1.48426	+	0.435818i	−0.563556	+	0.826078i	$0.690567\pi$
$194$	−10.3366	−	11.9291i	−0.742126	−	0.856459i
$195$	5.23635	−	3.36520i	0.374983	−	0.240987i
$196$	0.841254	−	0.540641i	0.0600895	−	0.0386172i
$197$	−14.5435	−	16.7841i	−1.03618	−	1.19582i	−0.980327	−	0.197380i	$-0.936757\pi$
$197$	−14.5435	−	16.7841i	−1.03618	−	1.19582i	−0.0558557	−	0.998439i	$-0.517789\pi$
$198$	8.90303	−	2.61417i	0.632711	−	0.185781i
$199$	−2.90610	+	20.2123i	−0.206008	+	1.43281i	0.580009	+	0.814610i	$0.303049\pi$
$199$	−2.90610	+	20.2123i	−0.206008	+	1.43281i	−0.786017	+	0.618205i	$0.787860\pi$
$200$	−0.563855	+	0.650724i	−0.0398706	+	0.0460131i
$201$	4.58729	−	10.0448i	0.323563	−	0.708504i
$202$	−5.98816	−	1.75828i	−0.421325	−	0.123712i
$203$	0.692588	+	1.51656i	0.0486101	+	0.106441i
$204$	0.222170	+	1.54522i	0.0155550	+	0.108187i
$205$	12.2645	+	7.88193i	0.856592	+	0.550498i
$206$	11.7945			0.821761
$207$	8.43164	−	4.23189i	0.586040	−	0.294136i
$208$	−1.37279			−0.0951856
$209$	0.421044	+	0.270589i	0.0291242	+	0.0187170i
$210$	0.645282	+	4.48803i	0.0445287	+	0.309704i
$211$	−8.05490	−	17.6378i	−0.554522	−	1.21423i	−0.954638	−	0.297770i	$-0.903757\pi$
$211$	−8.05490	−	17.6378i	−0.554522	−	1.21423i	0.400115	−	0.916465i	$-0.368970\pi$
$212$	−4.79292	−	1.40733i	−0.329179	−	0.0966557i
$213$	9.86976	−	21.6118i	0.676265	−	1.48081i
$214$	−5.01553	+	5.78823i	−0.342855	+	0.395675i
$215$	−0.168115	+	1.16927i	−0.0114654	+	0.0797435i
$216$	−2.20870	+	0.648534i	−0.150283	+	0.0441272i
$217$	−3.36635	−	3.88497i	−0.228522	−	0.263729i
$218$	13.8603	−	8.90749i	0.938739	−	0.603291i
$219$	−12.3098	+	7.91103i	−0.831820	+	0.534578i
$220$	6.28430	+	7.25246i	0.423687	+	0.488961i
$221$	−0.922627	+	0.270908i	−0.0620626	+	0.0182232i
$222$	2.95884	−	20.5792i	0.198584	−	1.38118i
$223$	12.7064	−	14.6640i	0.850884	−	0.981973i	−0.149092	−	0.988823i	$-0.547635\pi$
$223$	12.7064	−	14.6640i	0.850884	−	0.981973i	0.999977	+	0.00685066i	$0.00218065\pi$
$224$	0.415415	−	0.909632i	0.0277561	−	0.0607773i
$225$	1.62516	+	0.477189i	0.108344	+	0.0318126i
$226$	−1.90852	−	4.17907i	−0.126953	−	0.277988i
$227$	1.77849	+	12.3697i	0.118042	+	0.821003i	0.959707	+	0.281002i	$0.0906669\pi$
$227$	1.77849	+	12.3697i	0.118042	+	0.821003i	−0.841665	+	0.540000i	$0.818424\pi$
$228$	0.198939	+	0.127850i	0.0131750	+	0.00846708i
$229$	14.8900			0.983957			0.491979	−	0.870607i	$-0.336274\pi$
$229$	14.8900			0.983957			0.491979	+	0.870607i	$0.336274\pi$
$230$	7.60365	+	6.11398i	0.501370	+	0.403144i
$231$	−10.5127			−0.691685
$232$	1.40255	+	0.901367i	0.0920822	+	0.0591776i
$233$	1.80018	+	12.5205i	0.117934	+	0.820247i	0.959825	+	0.280600i	$0.0905334\pi$
$233$	1.80018	+	12.5205i	0.117934	+	0.820247i	−0.841891	+	0.539648i	$0.818558\pi$
$234$	1.12181	+	2.45642i	0.0733350	+	0.160581i
$235$	5.54832	+	1.62913i	0.361932	+	0.106273i
$236$	−5.95918	+	13.0488i	−0.387909	+	0.849403i
$237$	−23.2991	+	26.8886i	−1.51344	+	1.74660i
$238$	0.0996854	−	0.693327i	0.00646165	−	0.0449417i
$239$	−23.9060	+	7.01943i	−1.54635	+	0.454049i	−0.940007	−	0.341154i	$-0.889182\pi$
$239$	−23.9060	+	7.01943i	−1.54635	+	0.454049i	−0.606343	+	0.795203i	$0.707364\pi$
$240$	2.96926	+	3.42671i	0.191665	+	0.221193i
$241$	1.10607	−	0.710830i	0.0712484	−	0.0457886i	−0.504532	−	0.863393i	$-0.668335\pi$
$241$	1.10607	−	0.710830i	0.0712484	−	0.0457886i	0.575780	+	0.817605i	$0.304698\pi$
$242$	−9.46380	+	6.08202i	−0.608356	+	0.390967i
$243$	11.5784	+	13.3622i	0.742757	+	0.857188i
$244$	1.68347	−	0.494311i	0.107773	−	0.0316450i
$245$	0.289532	−	2.01374i	0.0184975	−	0.128653i
$246$	−10.4588	+	12.0700i	−0.666826	+	0.769558i
$247$	−0.0605096	+	0.132498i	−0.00385013	+	0.00843062i
$248$	−4.93232	−	1.44826i	−0.313203	−	0.0919646i
$249$	−2.07669	−	4.54733i	−0.131605	−	0.288175i
$250$	1.69695	+	11.8026i	0.107325	+	0.746461i
$251$	−24.6525	−	15.8432i	−1.55606	−	1.00002i	−0.983660	−	0.180038i	$-0.942378\pi$
$251$	−24.6525	−	15.8432i	−1.55606	−	1.00002i	−0.572395	−	0.819978i	$-0.693986\pi$
$252$	−1.96714			−0.123918
$253$	−16.5402	+	15.4326i	−1.03987	+	0.970238i
$254$	13.8388			0.868323
$255$	2.67182	+	1.71708i	0.167316	+	0.107527i
$256$	−0.142315	−	0.989821i	−0.00889468	−	0.0618638i
$257$	4.79687	+	10.5037i	0.299221	+	0.655202i	0.998202	−	0.0599378i	$-0.0190903\pi$
$257$	4.79687	+	10.5037i	0.299221	+	0.655202i	−0.698981	+	0.715140i	$0.746363\pi$
$258$	−1.24167	−	0.364587i	−0.0773030	−	0.0226982i
$259$	−3.87525	+	8.48562i	−0.240796	+	0.527270i
$260$	−1.82893	+	2.11070i	−0.113426	+	0.130900i
$261$	0.466743	−	3.24627i	0.0288906	−	0.200939i
$262$	7.59303	−	2.22952i	0.469099	−	0.137740i
$263$	20.2006	+	23.3128i	1.24562	+	1.43753i	0.856342	+	0.516410i	$0.172732\pi$
$263$	20.2006	+	23.3128i	1.24562	+	1.43753i	0.389283	+	0.921118i	$0.372723\pi$
$264$	−8.84385	+	5.68360i	−0.544301	+	0.349801i
$265$	−8.54932	+	5.49431i	−0.525181	+	0.337513i
$266$	−0.0694846	−	0.0801894i	−0.00426037	−	0.00491673i
$267$	28.5708	−	8.38915i	1.74851	−	0.513408i
$268$	−0.705134	+	4.90431i	−0.0430729	+	0.299579i
$269$	−9.61873	+	11.1006i	−0.586464	+	0.676816i	−0.968982	−	0.247132i	$-0.920512\pi$
$269$	−9.61873	+	11.1006i	−0.586464	+	0.676816i	0.382517	+	0.923948i	$0.375057\pi$
$270$	−1.94547	+	4.25998i	−0.118397	+	0.259254i
$271$	22.8805	+	6.71831i	1.38989	+	0.408108i	0.889200	−	0.457519i	$-0.151262\pi$
$271$	22.8805	+	6.71831i	1.38989	+	0.408108i	0.500689	+	0.865627i	$0.333080\pi$
$272$	−0.290980	−	0.637158i	−0.0176433	−	0.0386334i
$273$	−0.435418	−	3.02840i	−0.0263527	−	0.183287i
$274$	−11.2069	−	7.20223i	−0.677033	−	0.435103i
$275$	−4.06144			−0.244914
$276$	−7.81505	+	7.29172i	−0.470411	+	0.438910i
$277$	−8.27972			−0.497480			−0.248740	−	0.968570i	$-0.580016\pi$
$277$	−8.27972			−0.497480			−0.248740	+	0.968570i	$0.580016\pi$
$278$	−6.64924	−	4.27321i	−0.398795	−	0.256290i
$279$	1.43911	+	10.0092i	0.0861574	+	0.599238i
$280$	−0.845139	−	1.85060i	−0.0505067	−	0.110594i
$281$	14.2748	+	4.19147i	0.851565	+	0.250042i	0.678256	−	0.734826i	$-0.262736\pi$
$281$	14.2748	+	4.19147i	0.851565	+	0.250042i	0.173309	+	0.984868i	$0.444554\pi$
$282$	−2.63153	+	5.76225i	−0.156705	+	0.343137i
$283$	5.44713	−	6.28632i	0.323798	−	0.373683i	−0.570390	−	0.821374i	$-0.693208\pi$
$283$	5.44713	−	6.28632i	0.323798	−	0.373683i	0.894188	+	0.447691i	$0.147753\pi$
$284$	−1.51713	+	10.5518i	−0.0900248	+	0.626136i
$285$	0.461615	−	0.135542i	0.0273437	−	0.00802884i
$286$	−4.24046	−	4.89375i	−0.250744	−	0.289374i
$287$	6.02844	−	3.87424i	0.355847	−	0.228689i
$288$	−1.65486	+	1.06351i	−0.0975136	+	0.0626682i
$289$	10.8113	+	12.4769i	0.635961	+	0.733938i
$290$	3.25447	−	0.955600i	0.191109	−	0.0561147i
$291$	5.00648	−	34.8209i	0.293485	−	2.04124i
$292$	4.29952	−	4.96191i	0.251611	−	0.290374i
$293$	7.81230	−	17.1066i	0.456400	−	0.999376i	−0.531894	−	0.846811i	$-0.678519\pi$
$293$	7.81230	−	17.1066i	0.456400	−	0.999376i	0.988293	−	0.152565i	$-0.0487533\pi$
$294$	2.13843	+	0.627899i	0.124716	+	0.0366198i
$295$	12.1236	+	26.5470i	0.705865	+	1.54563i
$296$	1.32760	+	9.23367i	0.0771653	+	0.536696i
$297$	−9.13449	−	5.87038i	−0.530037	−	0.340634i
$298$	0.786656			0.0455698
$299$	−5.13073	−	4.12554i	−0.296718	−	0.238586i
$300$	−1.91899			−0.110793
$301$	0.488470	+	0.313921i	0.0281550	+	0.0180941i
$302$	−0.317493	−	2.20821i	−0.0182697	−	0.127068i
$303$	−5.77812	−	12.6523i	−0.331944	−	0.726857i
$304$	−0.101808	−	0.0298935i	−0.00583908	−	0.00171451i
$305$	1.48283	−	3.24695i	0.0849067	−	0.185920i
$306$	−0.902329	+	1.04134i	−0.0515827	+	0.0595296i
$307$	2.47670	−	17.2258i	0.141353	−	0.983129i	−0.788458	−	0.615089i	$-0.789120\pi$
$307$	2.47670	−	17.2258i	0.141353	−	0.983129i	0.929810	−	0.368040i	$-0.119971\pi$
$308$	4.52588	−	1.32892i	0.257886	−	0.0757222i
$309$	17.2140	+	19.8660i	0.979269	+	1.13014i
$310$	−8.79797	+	5.65411i	−0.499691	+	0.321132i
$311$	21.7764	−	13.9948i	1.23482	−	0.793574i	0.250189	−	0.968197i	$-0.419507\pi$
$311$	21.7764	−	13.9948i	1.23482	−	0.793574i	0.984635	+	0.174623i	$0.0558708\pi$
$312$	−2.00357	−	2.31224i	−0.113430	−	0.130905i
$313$	22.2721	−	6.53968i	1.25889	−	0.369645i	0.416811	−	0.908993i	$-0.363148\pi$
$313$	22.2721	−	6.53968i	1.25889	−	0.369645i	0.842083	+	0.539349i	$0.181329\pi$
$314$	−0.553068	+	3.84667i	−0.0312114	+	0.217080i
$315$	−2.62077	+	3.02453i	−0.147664	+	0.170413i
$316$	6.63162	−	14.5212i	0.373058	−	0.816883i
$317$	20.2382	+	5.94247i	1.13669	+	0.333762i	0.795334	−	0.606172i	$-0.207296\pi$
$317$	20.2382	+	5.94247i	1.13669	+	0.333762i	0.341356	+	0.939934i	$0.389114\pi$
$318$	−4.62481	−	10.1269i	−0.259346	−	0.567889i
$319$	1.11919	+	7.78415i	0.0626627	+	0.435829i
$320$	−1.71148	−	1.09990i	−0.0956749	−	0.0614865i
$321$	−17.0695			−0.952727
$322$	4.28625	−	2.15129i	0.238863	−	0.119887i
$323$	−0.0743226			−0.00413542
$324$	−9.28053	−	5.96423i	−0.515585	−	0.331346i
$325$	−0.168218	−	1.16998i	−0.00933104	−	0.0648988i
$326$	0.516260	+	1.13045i	0.0285930	+	0.0626099i
$327$	35.2323	+	10.3451i	1.94835	+	0.572088i
$328$	2.97687	−	6.51844i	0.164370	−	0.359921i
$329$	1.86133	−	2.14808i	0.102618	−	0.118428i
$330$	−3.04376	+	21.1698i	−0.167554	+	1.16536i
$331$	−28.4510	+	8.35397i	−1.56381	+	0.459176i	−0.945191	−	0.326517i	$-0.894125\pi$
$331$	−28.4510	+	8.35397i	−1.56381	+	0.459176i	−0.618617	+	0.785693i	$0.712307\pi$
$332$	1.46888	+	1.69518i	0.0806153	+	0.0930350i
$333$	15.4376	−	9.92113i	0.845974	−	0.543674i
$334$	0.788050	−	0.506449i	0.0431202	−	0.0277117i
$335$	6.60110	+	7.61808i	0.360657	+	0.416220i
$336$	2.13843	−	0.627899i	0.116661	−	0.0342547i
$337$	−2.65024	+	18.4328i	−0.144368	+	1.00410i	0.780865	+	0.624699i	$0.214778\pi$
$337$	−2.65024	+	18.4328i	−0.144368	+	1.00410i	−0.925233	+	0.379399i	$0.876131\pi$
$338$	−7.27908	+	8.40050i	−0.395930	+	0.456927i
$339$	4.25353	−	9.31393i	0.231020	−	0.505863i
$340$	−1.36732	−	0.401481i	−0.0741532	−	0.0217733i
$341$	−10.0729	−	22.0565i	−0.545477	−	1.19443i
$342$	0.0297046	+	0.206600i	0.00160624	+	0.0111717i
$343$	−0.841254	−	0.540641i	−0.0454234	−	0.0291919i
$344$	0.580646			0.0313063
$345$	0.799430	+	21.7305i	0.0430399	+	1.16993i
$346$	18.8046			1.01094
$347$	−27.2559	−	17.5163i	−1.46317	−	0.940324i	−0.998495	−	0.0548435i	$-0.982534\pi$
$347$	−27.2559	−	17.5163i	−1.46317	−	0.940324i	−0.464677	−	0.885480i	$-0.653830\pi$
$348$	0.528806	+	3.67792i	0.0283470	+	0.197157i
$349$	1.40553	+	3.07767i	0.0752361	+	0.164744i	0.943513	−	0.331336i	$-0.107499\pi$
$349$	1.40553	+	3.07767i	0.0752361	+	0.164744i	−0.868277	+	0.496080i	$0.834772\pi$
$350$	0.826153	+	0.242580i	0.0441597	+	0.0129665i
$351$	1.31275	−	2.87451i	0.0700692	−	0.153430i
$352$	3.08895	−	3.56484i	0.164641	−	0.190006i
$353$	1.98890	−	13.8331i	0.105859	−	0.736263i	−0.865888	−	0.500238i	$-0.833246\pi$
$353$	1.98890	−	13.8331i	0.105859	−	0.736263i	0.971747	−	0.236026i	$-0.0758449\pi$
$354$	−30.6760	+	9.00729i	−1.63041	+	0.478732i
$355$	14.2025	+	16.3906i	0.753793	+	0.869924i
$356$	−11.2397	+	7.22332i	−0.595703	+	0.382835i
$357$	1.31329	−	0.844002i	0.0695068	−	0.0446693i
$358$	0.533997	+	0.616265i	0.0282226	+	0.0325706i
$359$	−7.53290	+	2.21186i	−0.397571	+	0.116737i	−0.474406	−	0.880306i	$-0.657337\pi$
$359$	−7.53290	+	2.21186i	−0.397571	+	0.116737i	0.0768342	+	0.997044i	$0.475519\pi$
$360$	−0.569549	+	3.96130i	−0.0300178	+	0.208779i
$361$	12.4350	−	14.3507i	0.654473	−	0.755302i
$362$	2.11467	−	4.63049i	0.111145	−	0.243373i
$363$	−24.0566	−	7.06364i	−1.26264	−	0.370745i
$364$	0.570276	+	1.24873i	0.0298906	+	0.0654512i
$365$	−1.90094	−	13.2213i	−0.0994996	−	0.692035i
$366$	3.28960	+	2.11410i	0.171950	+	0.110506i
$367$	−17.1240			−0.893867			−0.446934	−	0.894567i	$-0.647484\pi$
$367$	−17.1240			−0.893867			−0.446934	+	0.894567i	$0.647484\pi$
$368$	2.44275	−	4.12710i	0.127337	−	0.215140i
$369$	−14.0965			−0.733836
$370$	15.9658	+	10.2606i	0.830022	+	0.533423i
$371$	0.710900	+	4.94442i	0.0369081	+	0.256702i
$372$	−4.75932	−	10.4215i	−0.246759	−	0.540327i
$373$	3.65573	+	1.07342i	0.189287	+	0.0555796i	0.375002	−	0.927024i	$-0.377642\pi$
$373$	3.65573	+	1.07342i	0.189287	+	0.0555796i	−0.185715	+	0.982604i	$0.559460\pi$
$374$	1.37254	−	3.00544i	0.0709724	−	0.155408i
$375$	−17.4029	+	20.0840i	−0.898683	+	1.03714i
$376$	0.404505	−	2.81339i	0.0208607	−	0.145090i
$377$	−2.19603	+	0.644811i	−0.113101	+	0.0332095i
$378$	1.50746	+	1.73970i	0.0775352	+	0.0894804i
$379$	−23.9446	+	15.3883i	−1.22995	+	0.790443i	−0.983884	−	0.178809i	$-0.942776\pi$
$379$	−23.9446	+	15.3883i	−1.22995	+	0.790443i	−0.246070	+	0.969252i	$0.579139\pi$
$380$	−0.181599	+	0.116706i	−0.00931581	+	0.00598691i
$381$	20.1976	+	23.3093i	1.03476	+	1.19417i
$382$	−6.47354	+	1.90080i	−0.331215	+	0.0972535i
$383$	4.67354	−	32.5052i	0.238807	−	1.66094i	−0.419176	−	0.907905i	$-0.637681\pi$
$383$	4.67354	−	32.5052i	0.238807	−	1.66094i	0.657983	−	0.753033i	$-0.271410\pi$
$384$	1.45949	−	1.68434i	0.0744794	−	0.0859539i
$385$	3.98648	−	8.72918i	0.203170	−	0.444880i
$386$	20.6200	+	6.05458i	1.04953	+	0.308170i
$387$	−0.474491	−	1.03899i	−0.0241197	−	0.0528149i
$388$	2.24636	+	15.6238i	0.114042	+	0.793178i
$389$	1.33451	+	0.857638i	0.0676624	+	0.0434840i	0.574035	−	0.818831i	$-0.305377\pi$
$389$	1.33451	+	0.857638i	0.0676624	+	0.0434840i	−0.506372	+	0.862315i	$0.669014\pi$
$390$	−6.22446			−0.315188
$391$	0.827281	−	3.25581i	0.0418374	−	0.164654i
$392$	−1.00000			−0.0505076
$393$	14.8373	+	9.53532i	0.748440	+	0.480993i
$394$	3.16061	+	21.9825i	0.159229	+	1.10746i
$395$	−13.4917	−	29.5426i	−0.678840	−	1.48645i
$396$	−8.90303	−	2.61417i	−0.447394	−	0.131367i
$397$	−2.71781	+	5.95117i	−0.136403	+	0.298681i	−0.965491	−	0.260438i	$-0.916133\pi$
$397$	−2.71781	+	5.95117i	−0.136403	+	0.298681i	0.829088	+	0.559119i	$0.188860\pi$
$398$	13.3724	−	15.4326i	0.670297	−	0.773564i
$399$	0.0336545	−	0.234072i	0.00168483	−	0.0117183i
$400$	0.826153	−	0.242580i	0.0413077	−	0.0121290i
$401$	−10.9849	−	12.6773i	−0.548561	−	0.633073i	0.411986	−	0.911190i	$-0.364835\pi$
$401$	−10.9849	−	12.6773i	−0.548561	−	0.633073i	−0.960547	+	0.278117i	$0.910290\pi$
$402$	−9.28969	+	5.97012i	−0.463328	+	0.297763i
$403$	5.93662	−	3.81523i	0.295724	−	0.190050i
$404$	4.08696	+	4.71660i	0.203334	+	0.234660i
$405$	−21.5344	+	6.32308i	−1.07005	+	0.314196i
$406$	0.237270	−	1.65025i	0.0117755	−	0.0819005i
$407$	−28.8156	+	33.2550i	−1.42834	+	1.64839i
$408$	0.648510	−	1.42004i	0.0321060	−	0.0703024i
$409$	−12.1177	−	3.55808i	−0.599182	−	0.175936i	−0.0319439	−	0.999490i	$-0.510170\pi$
$409$	−12.1177	−	3.55808i	−0.599182	−	0.175936i	−0.567238	+	0.823554i	$0.691988\pi$
$410$	−6.05628	−	13.2614i	−0.299098	−	0.654934i
$411$	−4.22534	−	29.3879i	−0.208421	−	1.44960i
$412$	−9.92216	−	6.37659i	−0.488830	−	0.314152i
$413$	14.3451			0.705877
$414$	−9.38108	−	0.998399i	−0.461055	−	0.0490686i
$415$	4.56335			0.224006
$416$	1.15486	+	0.742184i	0.0566217	+	0.0363886i
$417$	−2.50697	−	17.4363i	−0.122767	−	0.853861i
$418$	−0.207914	−	0.455267i	−0.0101694	−	0.0222679i
$419$	−20.6143	−	6.05290i	−1.00707	−	0.295704i	−0.263718	−	0.964600i	$-0.584949\pi$
$419$	−20.6143	−	6.05290i	−1.00707	−	0.295704i	−0.743356	+	0.668896i	$0.766767\pi$
$420$	1.88357	−	4.12444i	0.0919087	−	0.201252i
$421$	16.0875	−	18.5659i	0.784054	−	0.904847i	−0.213341	−	0.976978i	$-0.568434\pi$
$421$	16.0875	−	18.5659i	0.784054	−	0.904847i	0.997395	+	0.0721308i	$0.0229799\pi$
$422$	−2.75949	+	19.1927i	−0.134330	+	0.934284i
$423$	−5.36475	+	1.57523i	−0.260843	+	0.0765905i
$424$	3.27120	+	3.77517i	0.158864	+	0.183338i
$425$	0.507373	−	0.326069i	0.0246112	−	0.0158167i
$426$	−19.9872	+	12.8450i	−0.968381	+	0.622341i
$427$	−1.14898	−	1.32599i	−0.0556031	−	0.0641693i
$428$	7.34868	−	2.15777i	0.355212	−	0.104300i
$429$	2.05384	−	14.2848i	0.0991605	−	0.689677i
$430$	0.773582	−	0.892761i	0.0373054	−	0.0430528i
$431$	−0.826394	+	1.80955i	−0.0398060	+	0.0871630i	−0.928490	−	0.371356i	$-0.878893\pi$
$431$	−0.826394	+	1.80955i	−0.0398060	+	0.0871630i	0.888684	+	0.458519i	$0.151620\pi$
$432$	2.20870	+	0.648534i	0.106266	+	0.0312026i
$433$	13.9136	+	30.4666i	0.668646	+	1.46413i	0.874241	+	0.485493i	$0.161360\pi$
$433$	13.9136	+	30.4666i	0.668646	+	1.46413i	−0.205595	+	0.978637i	$0.565913\pi$
$434$	0.731577	+	5.08823i	0.0351168	+	0.244243i
$435$	6.35944	+	4.08696i	0.304912	+	0.195955i
$436$	−16.4758			−0.789047
$437$	−0.290666	−	0.417682i	−0.0139044	−	0.0199804i
$438$	14.6327			0.699177
$439$	−29.0079	−	18.6422i	−1.38447	−	0.889746i	−0.385021	−	0.922908i	$-0.625806\pi$
$439$	−29.0079	−	18.6422i	−1.38447	−	0.889746i	−0.999450	+	0.0331623i	$0.989442\pi$
$440$	−1.36571	−	9.49871i	−0.0651076	−	0.452833i
$441$	0.817178	+	1.78937i	0.0389132	+	0.0852081i
$442$	0.922627	+	0.270908i	0.0438849	+	0.0128858i
$443$	11.5163	−	25.2172i	0.547157	−	1.19811i	−0.410941	−	0.911662i	$-0.634800\pi$
$443$	11.5163	−	25.2172i	0.547157	−	1.19811i	0.958097	−	0.286444i	$-0.0924731\pi$
$444$	−13.6151	+	15.7126i	−0.646142	+	0.745688i
$445$	−3.86834	+	26.9049i	−0.183377	+	1.27541i
$446$	−18.6173	+	5.46652i	−0.881553	+	0.258847i
$447$	1.14812	+	1.32500i	0.0543042	+	0.0626704i
$448$	−0.841254	+	0.540641i	−0.0397455	+	0.0255429i
$449$	22.7003	−	14.5886i	1.07129	−	0.688478i	0.118763	−	0.992923i	$-0.462107\pi$
$449$	22.7003	−	14.5886i	1.07129	−	0.688478i	0.952530	+	0.304444i	$0.0984707\pi$
$450$	−1.10918	−	1.28006i	−0.0522873	−	0.0603427i
$451$	32.4326	−	9.52306i	1.52719	−	0.448423i
$452$	−0.653829	+	4.54748i	−0.0307535	+	0.213896i
$453$	3.25601	−	3.75764i	0.152981	−	0.176549i
$454$	5.19138	−	11.3675i	0.243644	−	0.533505i
$455$	2.67973	+	0.786839i	0.125628	+	0.0368876i
$456$	−0.0982369	−	0.215109i	−0.00460036	−	0.0100734i
$457$	0.263420	+	1.83213i	0.0123223	+	0.0857033i	0.995055	−	0.0993297i	$-0.0316699\pi$
$457$	0.263420	+	1.83213i	0.0123223	+	0.0857033i	−0.982732	+	0.185033i	$0.940761\pi$
$458$	−12.5262	−	8.05013i	−0.585313	−	0.376158i
$459$	1.61242			0.0752612
$460$	−3.09113	−	9.25425i	−0.144125	−	0.431482i
$461$	−15.0779			−0.702246			−0.351123	−	0.936329i	$-0.614200\pi$
$461$	−15.0779			−0.702246			−0.351123	+	0.936329i	$0.614200\pi$
$462$	8.84385	+	5.68360i	0.411453	+	0.264425i
$463$	0.0897102	+	0.623948i	0.00416919	+	0.0289973i	0.991800	−	0.127801i	$-0.0407919\pi$
$463$	0.0897102	+	0.623948i	0.00416919	+	0.0289973i	−0.987631	+	0.156798i	$0.949883\pi$
$464$	−0.692588	−	1.51656i	−0.0321526	−	0.0704044i
$465$	−22.3641	−	6.56668i	−1.03711	−	0.304523i
$466$	5.25470	−	11.5062i	0.243419	−	0.533014i
$467$	1.72819	−	1.99444i	0.0799711	−	0.0922915i	−0.714354	−	0.699785i	$-0.753279\pi$
$467$	1.72819	−	1.99444i	0.0799711	−	0.0922915i	0.794325	+	0.607493i	$0.207825\pi$
$468$	0.384315	−	2.67297i	0.0177650	−	0.123558i
$469$	4.75404	−	1.39591i	0.219521	−	0.0644573i
$470$	−3.78677	−	4.37016i	−0.174671	−	0.201581i
$471$	−7.28632	+	4.68263i	−0.335736	+	0.215764i
$472$	12.0679	−	7.75556i	0.555469	−	0.356978i
$473$	1.79358	+	2.06991i	0.0824691	+	0.0951744i
$474$	34.1376	−	10.0237i	1.56799	−	0.460403i
$475$	0.0130019	−	0.0904305i	0.000596570	−	0.00414924i
$476$	−0.458702	+	0.529370i	−0.0210246	+	0.0242636i
$477$	4.08202	−	8.93838i	0.186903	−	0.409260i
$478$	23.9060	+	7.01943i	1.09343	+	0.321061i
$479$	8.33043	+	18.2411i	0.380627	+	0.833457i	0.998873	+	0.0474717i	$0.0151164\pi$
$479$	8.33043	+	18.2411i	0.380627	+	0.833457i	−0.618246	+	0.785985i	$0.712156\pi$
$480$	−0.645282	−	4.48803i	−0.0294529	−	0.204850i
$481$	−10.7733	−	6.92355i	−0.491218	−	0.315687i
$482$	−1.31479			−0.0598871
$483$	9.87927	+	4.07973i	0.449522	+	0.185634i
$484$	11.2496			0.511347
$485$	27.0149	+	17.3614i	1.22668	+	0.788340i
$486$	−2.51624	−	17.5008i	−0.114139	−	0.793853i
$487$	−12.8907	−	28.2267i	−0.584133	−	1.27907i	−0.938923	−	0.344128i	$-0.888175\pi$
$487$	−12.8907	−	28.2267i	−0.584133	−	1.27907i	0.354789	−	0.934946i	$-0.384553\pi$
$488$	−1.68347	−	0.494311i	−0.0762071	−	0.0223764i
$489$	−1.15059	+	2.51944i	−0.0520316	+	0.113933i
$490$	−1.33228	+	1.53753i	−0.0601862	+	0.0694586i
$491$	6.23695	−	43.3789i	0.281470	−	1.95766i	−0.00635187	−	0.999980i	$-0.502022\pi$
$491$	6.23695	−	43.3789i	0.281470	−	1.95766i	0.287821	−	0.957684i	$-0.407069\pi$
$492$	15.3240	−	4.49954i	0.690860	−	0.202855i
$493$	−0.764757	−	0.882576i	−0.0344429	−	0.0397492i
$494$	0.122537	−	0.0787501i	0.00551322	−	0.00354313i
$495$	−15.8807	+	10.2059i	−0.713783	+	0.458721i
$496$	3.36635	+	3.88497i	0.151153	+	0.174440i
$497$	10.2285	−	3.00337i	0.458812	−	0.134719i
$498$	−0.711444	+	4.94820i	−0.0318806	+	0.221734i
$499$	−7.61406	+	8.78709i	−0.340852	+	0.393364i	−0.900134	−	0.435613i	$-0.856532\pi$
$499$	−7.61406	+	8.78709i	−0.340852	+	0.393364i	0.559282	+	0.828978i	$0.311077\pi$
$500$	4.95339	−	10.8464i	0.221522	−	0.485066i
$501$	2.00319	+	0.588189i	0.0894958	+	0.0262783i
$502$	12.1735	+	26.6563i	0.543332	+	1.18973i
$503$	−5.31197	−	36.9456i	−0.236849	−	1.64732i	−0.667359	−	0.744736i	$-0.732575\pi$
$503$	−5.31197	−	36.9456i	−0.236849	−	1.64732i	0.430510	−	0.902586i	$-0.358334\pi$
$504$	1.65486	+	1.06351i	0.0737134	+	0.0473727i
$505$	12.6969			0.565004
$506$	22.2580	−	4.04042i	0.989487	−	0.179619i
$507$	−24.7731			−1.10021
$508$	−11.6419	−	7.48182i	−0.516527	−	0.331952i
$509$	1.81136	+	12.5983i	0.0802872	+	0.558410i	0.989770	+	0.142669i	$0.0455685\pi$
$509$	1.81136	+	12.5983i	0.0802872	+	0.558410i	−0.909483	+	0.415741i	$0.863522\pi$
$510$	−1.31936	−	2.88899i	−0.0584222	−	0.127927i
$511$	−6.29960	−	1.84973i	−0.278678	−	0.0818272i
$512$	−0.415415	+	0.909632i	−0.0183589	+	0.0402004i
$513$	0.159950	−	0.184592i	0.00706196	−	0.00814994i
$514$	1.64334	−	11.4296i	0.0724844	−	0.504140i
$515$	−23.0233	+	6.76025i	−1.01453	+	0.297892i
$516$	0.847449	+	0.978008i	0.0373069	+	0.0430544i
$517$	11.2788	−	7.24843i	0.496040	−	0.318785i
$518$	7.84774	−	5.04344i	0.344810	−	0.221596i
$519$	27.4452	+	31.6735i	1.20471	+	1.39031i
$520$	2.67973	−	0.786839i	0.117514	−	0.0345052i
$521$	−2.99294	+	20.8163i	−0.131123	+	0.911980i	0.812971	+	0.582304i	$0.197849\pi$
$521$	−2.99294	+	20.8163i	−0.131123	+	0.911980i	−0.944094	+	0.329676i	$0.893061\pi$
$522$	−2.14771	+	2.47859i	−0.0940029	+	0.108485i
$523$	−12.6240	+	27.6428i	−0.552010	+	1.20873i	0.403827	+	0.914836i	$0.367680\pi$
$523$	−12.6240	+	27.6428i	−0.552010	+	1.20873i	−0.955837	+	0.293898i	$0.905047\pi$
$524$	−7.59303	−	2.22952i	−0.331703	−	0.0973968i
$525$	0.797176	+	1.74557i	0.0347916	+	0.0761830i
$526$	−4.39002	−	30.5333i	−0.191414	−	1.33131i
$527$	3.02913	+	1.94670i	0.131951	+	0.0847998i
$528$	10.5127			0.457507
$529$	21.5326	−	8.08386i	0.936198	−	0.351472i
$530$	10.1626			0.441435
$531$	−23.7392	−	15.2562i	−1.03019	−	0.662065i
$532$	0.0151004	+	0.105026i	0.000654687	+	0.00455345i
$533$	4.08661	+	8.94842i	0.177011	+	0.387599i
$534$	−28.5708	−	8.38915i	−1.23638	−	0.363034i
$535$	6.47286	−	14.1736i	0.279846	−	0.612777i
$536$	3.24467	−	3.74455i	0.140148	−	0.161740i
$537$	−0.258638	+	1.79887i	−0.0111611	+	0.0776270i
$538$	14.0932	−	4.13815i	0.607602	−	0.178408i
$539$	−3.08895	−	3.56484i	−0.133050	−	0.153548i
$540$	3.93975	−	2.53192i	0.169540	−	0.108957i
$541$	−1.37406	+	0.883055i	−0.0590754	+	0.0379655i	−0.569845	−	0.821752i	$-0.692997\pi$
$541$	−1.37406	+	0.883055i	−0.0590754	+	0.0379655i	0.510770	+	0.859718i	$0.329360\pi$
$542$	−15.6161	−	18.0219i	−0.670768	−	0.774107i
$543$	10.8857	−	3.19633i	0.467150	−	0.137168i
$544$	−0.0996854	+	0.693327i	−0.00427398	+	0.0297262i
$545$	−21.9503	+	25.3321i	−0.940250	+	1.08511i
$546$	−1.27098	+	2.78305i	−0.0543928	+	0.119104i
$547$	−3.53445	−	1.03781i	−0.151122	−	0.0443735i	0.205296	−	0.978700i	$-0.434184\pi$
$547$	−3.53445	−	1.03781i	−0.151122	−	0.0443735i	−0.356419	+	0.934326i	$0.616002\pi$
$548$	5.53402	+	12.1178i	0.236402	+	0.517647i
$549$	0.491189	+	3.41629i	0.0209634	+	0.145804i
$550$	3.41670	+	2.19578i	0.145689	+	0.0936284i
$551$	−0.176902			−0.00753627
$552$	10.5166	−	1.90905i	0.447618	−	0.0812547i
$553$	−15.9638			−0.678852
$554$	6.96534	+	4.47635i	0.295929	+	0.190182i
$555$	6.01959	+	41.8672i	0.255517	+	1.77716i
$556$	3.28343	+	7.18970i	0.139248	+	0.304911i
$557$	10.8060	+	3.17292i	0.457864	+	0.134441i	0.502528	−	0.864561i	$-0.332404\pi$
$557$	10.8060	+	3.17292i	0.457864	+	0.134441i	−0.0446640	+	0.999002i	$0.514222\pi$
$558$	4.20075	−	9.19835i	0.177832	−	0.389397i
$559$	−0.521991	+	0.602410i	−0.0220779	+	0.0254792i
$560$	−0.289532	+	2.01374i	−0.0122350	+	0.0850960i
$561$	7.06542	−	2.07459i	0.298302	−	0.0875894i
$562$	−9.74267	−	11.2436i	−0.410970	−	0.474284i
$563$	17.2780	−	11.1039i	0.728179	−	0.467972i	−0.123294	−	0.992370i	$-0.539346\pi$
$563$	17.2780	−	11.1039i	0.728179	−	0.467972i	0.851473	+	0.524398i	$0.175710\pi$
$564$	5.32909	−	3.42480i	0.224395	−	0.144210i
$565$	6.12081	+	7.06380i	0.257505	+	0.297176i
$566$	−7.98106	+	2.34345i	−0.335469	+	0.0985026i
$567$	−1.56999	+	10.9195i	−0.0659332	+	0.458576i
$568$	6.98104	−	8.05655i	0.292918	−	0.338045i
$569$	1.88435	−	4.12616i	0.0789963	−	0.172978i	−0.866013	−	0.500022i	$-0.833325\pi$
$569$	1.88435	−	4.12616i	0.0789963	−	0.172978i	0.945009	+	0.327044i	$0.106053\pi$
$570$	−0.461615	−	0.135542i	−0.0193349	−	0.00567725i
$571$	−12.3906	−	27.1316i	−0.518530	−	1.13542i	−0.969993	−	0.243133i	$-0.921825\pi$
$571$	−12.3906	−	27.1316i	−0.518530	−	1.13542i	0.451463	−	0.892290i	$-0.350902\pi$
$572$	0.921540	+	6.40945i	0.0385315	+	0.267993i
$573$	−12.6497	−	8.12946i	−0.528448	−	0.339613i
$574$	−7.16602			−0.299104
$575$	3.81672	+	1.57615i	0.159168	+	0.0657299i
$576$	1.96714			0.0819640
$577$	−3.75249	−	2.41158i	−0.156218	−	0.100395i	0.460196	−	0.887817i	$-0.347779\pi$
$577$	−3.75249	−	2.41158i	−0.156218	−	0.100395i	−0.616415	+	0.787422i	$0.711415\pi$
$578$	−2.34953	−	16.3413i	−0.0977274	−	0.679709i
$579$	19.8968	+	43.5678i	0.826881	+	1.81062i
$580$	−3.25447	−	0.955600i	−0.135135	−	0.0396791i
$581$	0.931793	−	2.04034i	0.0386573	−	0.0846477i
$582$	−23.0373	+	26.5865i	−0.954927	+	1.10204i
$583$	−3.35328	+	23.3226i	−0.138879	+	0.965923i
$584$	−6.29960	+	1.84973i	−0.260679	+	0.0765424i
$585$	−3.59776	−	4.15204i	−0.148749	−	0.171666i
$586$	−15.8206	+	10.1673i	−0.653544	+	0.420007i
$587$	10.1504	−	6.52329i	0.418954	−	0.269245i	−0.314135	−	0.949378i	$-0.601714\pi$
$587$	10.1504	−	6.52329i	0.418954	−	0.269245i	0.733089	+	0.680133i	$0.238078\pi$
$588$	−1.45949	−	1.68434i	−0.0601885	−	0.0694612i
$589$	0.523348	−	0.153669i	0.0215642	−	0.00633182i
$590$	4.15337	−	28.8873i	0.170991	−	1.18927i
$591$	−32.4132	+	37.4069i	−1.33330	+	1.53871i
$592$	3.87525	−	8.48562i	0.159272	−	0.348757i
$593$	−13.7703	−	4.04332i	−0.565478	−	0.166039i	−0.0135160	−	0.999909i	$-0.504302\pi$
$593$	−13.7703	−	4.04332i	−0.565478	−	0.166039i	−0.551962	+	0.833869i	$0.686121\pi$
$594$	4.51065	+	9.87696i	0.185074	+	0.405256i
$595$	0.202805	+	1.41054i	0.00831418	+	0.0578264i
$596$	−0.661777	−	0.425299i	−0.0271075	−	0.0174209i
$597$	45.5106			1.86263
$598$	2.08581	+	6.24450i	0.0852950	+	0.255357i
$599$	28.0002			1.14406			0.572029	−	0.820234i	$-0.306157\pi$
$599$	28.0002			1.14406			0.572029	+	0.820234i	$0.306157\pi$
$600$	1.61435	+	1.03748i	0.0659057	+	0.0423550i
$601$	−3.78748	−	26.3425i	−0.154495	−	1.07453i	−0.908566	−	0.417741i	$-0.862822\pi$
$601$	−3.78748	−	26.3425i	−0.154495	−	1.07453i	0.754071	−	0.656793i	$-0.228087\pi$
$602$	−0.241209	−	0.528174i	−0.00983095	−	0.0215268i
$603$	−9.35186	−	2.74595i	−0.380837	−	0.111824i
$604$	−0.926757	+	2.02932i	−0.0377092	+	0.0825717i
$605$	14.9877	−	17.2967i	0.609335	−	0.703210i
$606$	−1.97950	+	13.7677i	−0.0804115	+	0.559274i
$607$	−9.87425	+	2.89934i	−0.400783	+	0.117681i	−0.475911	−	0.879493i	$-0.657882\pi$
$607$	−9.87425	+	2.89934i	−0.400783	+	0.117681i	0.0751279	+	0.997174i	$0.476063\pi$
$608$	0.0694846	+	0.0801894i	0.00281797	+	0.00325211i
$609$	3.12588	−	2.00888i	0.126667	−	0.0814041i
$610$	−3.00287	+	1.92983i	−0.121583	+	0.0781364i
$611$	2.55520	+	2.94886i	0.103372	+	0.119298i
$612$	1.32208	−	0.388198i	0.0534419	−	0.0156920i
$613$	−2.83443	+	19.7139i	−0.114482	+	0.796237i	0.848987	+	0.528414i	$0.177213\pi$
$613$	−2.83443	+	19.7139i	−0.114482	+	0.796237i	−0.963468	+	0.267823i	$0.913696\pi$
$614$	−11.3965	+	13.1523i	−0.459925	+	0.530782i
$615$	13.4977	−	29.5558i	0.544279	−	1.19180i
$616$	−4.52588	−	1.32892i	−0.182353	−	0.0535437i
$617$	−6.86059	−	15.0226i	−0.276197	−	0.604787i	0.719799	−	0.694182i	$-0.244234\pi$
$617$	−6.86059	−	15.0226i	−0.276197	−	0.604787i	−0.995996	+	0.0893953i	$0.971507\pi$
$618$	−3.74096	−	26.0189i	−0.150483	−	1.04663i
$619$	−36.9314	−	23.7344i	−1.48440	−	0.953966i	−0.996719	−	0.0809445i	$-0.974206\pi$
$619$	−36.9314	−	23.7344i	−1.48440	−	0.953966i	−0.487682	−	0.873022i	$-0.662157\pi$
$620$	10.4582			0.420010
$621$	6.30594	+	9.06154i	0.253049	+	0.363627i
$622$	−25.8856			−1.03792
$623$	11.2397	+	7.22332i	0.450309	+	0.289396i
$624$	0.435418	+	3.02840i	0.0174307	+	0.121233i
$625$	−8.28897	−	18.1503i	−0.331559	−	0.726013i
$626$	−22.2721	−	6.53968i	−0.890172	−	0.261378i
$627$	0.463379	−	1.01466i	0.0185056	−	0.0405215i
$628$	2.54494	−	2.93702i	0.101554	−	0.117200i
$629$	0.929928	−	6.46779i	0.0370787	−	0.257888i
$630$	3.83992	−	1.12750i	0.152986	−	0.0449208i
$631$	9.81607	+	11.3284i	0.390772	+	0.450975i	0.916713	−	0.399546i	$-0.130832\pi$
$631$	9.81607	+	11.3284i	0.390772	+	0.450975i	−0.525941	+	0.850521i	$0.676287\pi$
$632$	−13.4296	+	8.63071i	−0.534202	+	0.343311i
$633$	−36.3545	+	23.3636i	−1.44496	+	0.928620i
$634$	−13.8127	−	15.9407i	−0.548572	−	0.633086i
$635$	−27.0138	+	7.93198i	−1.07201	+	0.314771i
$636$	−1.58439	+	11.0197i	−0.0628251	+	0.436958i
$637$	0.898983	−	1.03748i	0.0356190	−	0.0411065i
$638$	3.26690	−	7.15352i	0.129338	−	0.283211i
$639$	−20.1209	−	5.90803i	−0.795971	−	0.233718i
$640$	0.845139	+	1.85060i	0.0334071	+	0.0731513i
$641$	2.27305	+	15.8094i	0.0897801	+	0.624434i	0.984181	+	0.177168i	$0.0566935\pi$
$641$	2.27305	+	15.8094i	0.0897801	+	0.624434i	−0.894401	+	0.447267i	$0.852397\pi$
$642$	14.3598	+	9.22847i	0.566735	+	0.364219i
$643$	−1.91827			−0.0756491			−0.0378245	−	0.999284i	$-0.512043\pi$
$643$	−1.91827			−0.0756491			−0.0378245	+	0.999284i	$0.512043\pi$
$644$	−4.76890	−	0.507539i	−0.187921	−	0.0199999i
$645$	2.63276			0.103665
$646$	0.0625241	+	0.0401818i	0.00245998	+	0.00158093i
$647$	2.12763	+	14.7980i	0.0836458	+	0.581769i	0.987937	+	0.154854i	$0.0494907\pi$
$647$	2.12763	+	14.7980i	0.0836458	+	0.581769i	−0.904292	+	0.426915i	$0.859600\pi$
$648$	4.58277	+	10.0349i	0.180028	+	0.394207i
$649$	64.9243	+	19.0635i	2.54850	+	0.748308i
$650$	−0.491025	+	1.07519i	−0.0192596	+	0.0421726i
$651$	−7.50260	+	8.65846i	−0.294050	+	0.339352i
$652$	0.176863	−	1.23011i	0.00692648	−	0.0481747i
$653$	−34.9979	+	10.2763i	−1.36958	+	0.402144i	−0.882128	−	0.471009i	$-0.843890\pi$
$653$	−34.9979	+	10.2763i	−1.36958	+	0.402144i	−0.487447	+	0.873153i	$0.662072\pi$
$654$	−24.0463	−	27.7509i	−0.940285	−	1.08515i
$655$	−13.5440	+	8.70419i	−0.529207	+	0.340101i
$656$	−6.02844	+	3.87424i	−0.235371	+	0.151264i
$657$	8.45775	+	9.76076i	0.329968	+	0.380804i
$658$	−2.72719	+	0.800775i	−0.106317	+	0.0312175i
$659$	0.675213	−	4.69621i	0.0263026	−	0.182938i	−0.972435	−	0.233175i	$-0.925088\pi$
$659$	0.675213	−	4.69621i	0.0263026	−	0.182938i	0.998737	+	0.0502367i	$0.0159976\pi$
$660$	14.0059	−	16.1636i	0.545177	−	0.629168i
$661$	−4.46975	+	9.78739i	−0.173853	+	0.380686i	−0.976421	−	0.215876i	$-0.930739\pi$
$661$	−4.46975	+	9.78739i	−0.173853	+	0.380686i	0.802568	+	0.596561i	$0.203467\pi$
$662$	28.4510	+	8.35397i	1.10578	+	0.324686i
$663$	0.890265	+	1.94941i	0.0345750	+	0.0757088i
$664$	−0.319218	−	2.22021i	−0.0123881	−	0.0861609i
$665$	0.181599	+	0.116706i	0.00704209	+	0.00452568i
$666$	−18.3507			−0.711074
$667$	1.96908	−	7.74945i	0.0762432	−	0.300060i
$668$	−0.936757			−0.0362442
$669$	−36.3793	−	23.3795i	−1.40650	−	0.903905i
$670$	−1.43456	−	9.97756i	−0.0554218	−	0.385467i
$671$	−3.43801	−	7.52820i	−0.132723	−	0.290623i
$672$	−2.13843	−	0.627899i	−0.0824917	−	0.0242217i
$673$	−2.51166	+	5.49976i	−0.0968173	+	0.212000i	−0.951843	−	0.306585i	$-0.900814\pi$
$673$	−2.51166	+	5.49976i	−0.0968173	+	0.212000i	0.855026	+	0.518585i	$0.173541\pi$
$674$	12.1950	−	14.0738i	0.469736	−	0.542104i
$675$	−0.282075	+	1.96188i	−0.0108571	+	0.0755126i
$676$	10.6652	−	3.13159i	0.410200	−	0.120446i
$677$	−7.58655	−	8.75534i	−0.291575	−	0.336495i	0.590996	−	0.806674i	$-0.298735\pi$
$677$	−7.58655	−	8.75534i	−0.291575	−	0.336495i	−0.882571	+	0.470179i	$0.844189\pi$
$678$	−8.61379	+	5.53574i	−0.330810	+	0.212599i
$679$	13.2787	−	8.53372i	0.509591	−	0.327494i
$680$	0.933204	+	1.07697i	0.0357867	+	0.0413001i
$681$	26.7236	−	7.84677i	1.02405	−	0.300689i
$682$	−3.45081	+	24.0009i	−0.132138	+	0.919043i
$683$	−23.7058	+	27.3579i	−0.907076	+	1.04682i	0.0916210	+	0.995794i	$0.470795\pi$
$683$	−23.7058	+	27.3579i	−0.907076	+	1.04682i	−0.998697	+	0.0510278i	$0.983750\pi$
$684$	0.0867074	−	0.189863i	0.00331534	−	0.00725958i
$685$	26.0044	+	7.63557i	0.993576	+	0.291740i
$686$	0.415415	+	0.909632i	0.0158606	+	0.0347299i
$687$	−4.72277	−	32.8476i	−0.180185	−	1.25321i
$688$	−0.488470	−	0.313921i	−0.0186228	−	0.0119681i
$689$	−6.85743			−0.261247
$690$	11.0759	−	18.7131i	0.421651	−	0.712394i
$691$	−20.0663			−0.763360			−0.381680	−	0.924295i	$-0.624654\pi$
$691$	−20.0663			−0.763360			−0.381680	+	0.924295i	$0.624654\pi$
$692$	−15.8195	−	10.1666i	−0.601366	−	0.386474i
$693$	1.32052	+	9.18445i	0.0501626	+	0.348888i
$694$	13.4591	+	29.4713i	0.510900	+	1.11871i
$695$	15.4288	+	4.53031i	0.585249	+	0.171845i
$696$	1.54358	−	3.37996i	0.0585091	−	0.128117i
$697$	−3.28706	+	3.79348i	−0.124506	+	0.143688i
$698$	0.481512	−	3.34899i	0.0182255	−	0.126761i
$699$	27.0496	−	7.94248i	1.02311	−	0.300412i
$700$	−0.563855	−	0.650724i	−0.0213117	−	0.0245950i
$701$	−15.5146	+	9.97063i	−0.585978	+	0.376585i	−0.799781	−	0.600291i	$-0.795051\pi$
$701$	−15.5146	+	9.97063i	−0.585978	+	0.376585i	0.213803	+	0.976877i	$0.431415\pi$
$702$	−2.65843	+	1.70847i	−0.100336	+	0.0644821i
$703$	−0.648195	−	0.748057i	−0.0244471	−	0.0282135i
$704$	−4.52588	+	1.32892i	−0.170576	+	0.0500855i
$705$	1.83410	−	12.7564i	0.0690762	−	0.480435i
$706$	−9.15193	+	10.5619i	−0.344437	+	0.397502i
$707$	2.59259	−	5.67698i	0.0975043	−	0.213505i
$708$	30.6760	+	9.00729i	1.15288	+	0.338515i
$709$	−13.8612	−	30.3519i	−0.520570	−	1.13989i	−0.969223	−	0.246184i	$-0.920823\pi$
$709$	−13.8612	−	30.3519i	−0.520570	−	1.13989i	0.448653	−	0.893706i	$-0.351904\pi$
$710$	−3.08651	−	21.4671i	−0.115835	−	0.805647i
$711$	26.4179	+	16.9778i	0.990750	+	0.636716i
$712$	13.3607			0.500712
$713$	0.906340	+	24.6366i	0.0339427	+	0.922646i
$714$	−1.56111			−0.0584232
$715$	11.0825	+	7.12228i	0.414462	+	0.266358i
$716$	−0.116049	−	0.807136i	−0.00433694	−	0.0301641i
$717$	23.0675	+	50.5107i	0.861471	+	1.88636i
$718$	7.53290	+	2.21186i	0.281125	+	0.0825459i
$719$	−9.30965	+	20.3853i	−0.347191	+	0.760243i	0.652805	+	0.757526i	$0.273592\pi$
$719$	−9.30965	+	20.3853i	−0.347191	+	0.760243i	−0.999996	+	0.00271686i	$0.999135\pi$
$720$	2.62077	−	3.02453i	0.0976705	−	0.112718i
$721$	−1.67853	+	11.6744i	−0.0625118	+	0.434779i
$722$	−18.2196	+	5.34975i	−0.678062	+	0.199097i
$723$	−1.91893	−	2.21456i	−0.0713657	−	0.0823604i
$724$	−4.28241	+	2.75214i	−0.159154	+	0.102282i
$725$	1.20764	−	0.776105i	0.0448507	−	0.0288238i
$726$	16.4188	+	18.9483i	0.609358	+	0.703236i
$727$	−19.2263	+	5.64536i	−0.713066	+	0.209375i	−0.618093	−	0.786105i	$-0.712095\pi$
$727$	−19.2263	+	5.64536i	−0.713066	+	0.209375i	−0.0949726	+	0.995480i	$0.530276\pi$
$728$	0.195368	−	1.35881i	0.00724081	−	0.0503609i
$729$	4.13211	−	4.76871i	0.153041	−	0.176619i
$730$	−5.54881	+	12.1502i	−0.205371	+	0.449699i
$731$	−0.390243	−	0.114586i	−0.0144336	−	0.00423810i
$732$	−1.62442	−	3.55699i	−0.0600404	−	0.131470i
$733$	−3.53439	−	24.5822i	−0.130546	−	0.907966i	−0.944844	−	0.327520i	$-0.893787\pi$
$733$	−3.53439	−	24.5822i	−0.130546	−	0.907966i	0.814299	−	0.580446i	$-0.197122\pi$
$734$	14.4057	+	9.25795i	0.531723	+	0.341717i
$735$	−4.53418			−0.167246
$736$	−4.28625	+	2.15129i	−0.157993	+	0.0792977i
$737$	23.3713			0.860893
$738$	11.8588	+	7.62116i	0.436527	+	0.280539i
$739$	4.85864	+	33.7926i	0.178728	+	1.24308i	0.859711	+	0.510781i	$0.170644\pi$
$739$	4.85864	+	33.7926i	0.178728	+	1.24308i	−0.680983	+	0.732299i	$0.738447\pi$
$740$	−7.88399	−	17.2635i	−0.289821	−	0.634620i
$741$	0.311485	+	0.0914602i	0.0114427	+	0.00335987i
$742$	2.07511	−	4.54385i	0.0761796	−	0.166810i
$743$	−20.4301	+	23.5776i	−0.749509	+	0.864980i	−0.994521	−	0.104540i	$-0.966663\pi$
$743$	−20.4301	+	23.5776i	−0.749509	+	0.864980i	0.245011	+	0.969520i	$0.421208\pi$
$744$	−1.63047	+	11.3402i	−0.0597760	+	0.415751i
$745$	−1.53558	+	0.450887i	−0.0562594	+	0.0165192i
$746$	−2.49506	−	2.87946i	−0.0913508	−	0.105424i
$747$	−3.71192	+	2.38551i	−0.135812	+	0.0872812i
$748$	−2.77952	+	1.78629i	−0.101629	+	0.0653132i
$749$	−5.01553	−	5.78823i	−0.183263	−	0.211497i
$750$	25.4985	−	7.48704i	0.931074	−	0.273388i
$751$	−4.44637	+	30.9252i	−0.162250	+	1.12848i	0.732129	+	0.681166i	$0.238527\pi$
$751$	−4.44637	+	30.9252i	−0.162250	+	1.12848i	−0.894379	+	0.447310i	$0.852382\pi$
$752$	−1.86133	+	2.14808i	−0.0678756	+	0.0783326i
$753$	−27.1313	+	59.4092i	−0.988719	+	2.16499i
$754$	2.19603	+	0.644811i	0.0799745	+	0.0234826i
$755$	1.88544	+	4.12853i	0.0686181	+	0.150253i
$756$	−0.327602	−	2.27852i	−0.0119148	−	0.0828690i
$757$	38.0937	+	24.4814i	1.38454	+	0.889790i	0.999452	−	0.0330896i	$-0.0105347\pi$
$757$	38.0937	+	24.4814i	1.38454	+	0.889790i	0.385088	+	0.922880i	$0.374171\pi$
$758$	28.4631			1.03382
$759$	39.2908	+	31.5931i	1.42617	+	1.14676i
$760$	0.215867			0.00783030
$761$	−35.4668	−	22.7931i	−1.28567	−	0.826251i	−0.294095	−	0.955776i	$-0.595018\pi$
$761$	−35.4668	−	22.7931i	−1.28567	−	0.826251i	−0.991576	+	0.129526i	$0.958655\pi$
$762$	−4.38936	−	30.5287i	−0.159010	−	1.10594i
$763$	6.84429	+	14.9869i	0.247780	+	0.542563i
$764$	6.47354	+	1.90080i	0.234204	+	0.0687686i
$765$	1.16451	−	2.54993i	0.0421031	−	0.0921928i
$766$	−21.5053	+	24.8184i	−0.777017	+	0.896725i
$767$	−2.80257	+	19.4923i	−0.101195	+	0.703827i
$768$	−2.13843	+	0.627899i	−0.0771639	+	0.0226574i
$769$	−11.5505	−	13.3300i	−0.416521	−	0.480691i	0.508253	−	0.861208i	$-0.330292\pi$
$769$	−11.5505	−	13.3300i	−0.416521	−	0.480691i	−0.924774	+	0.380517i	$0.875746\pi$
$770$	−8.07299	+	5.18820i	−0.290930	+	0.186970i
$771$	21.6499	−	13.9136i	0.779702	−	0.501084i
$772$	−14.0733	−	16.2415i	−0.506509	−	0.584543i
$773$	11.2030	−	3.28949i	0.402943	−	0.118315i	−0.0739804	−	0.997260i	$-0.523570\pi$
$773$	11.2030	−	3.28949i	0.402943	−	0.118315i	0.476923	+	0.878945i	$0.341752\pi$
$774$	−0.162553	+	1.13058i	−0.00584286	+	0.0406380i
$775$	−2.89853	+	3.34508i	−0.104118	+	0.120159i
$776$	6.55710	−	14.3580i	0.235386	−	0.515424i
$777$	19.9486	+	5.85744i	0.715652	+	0.210134i
$778$	−0.658988	−	1.44298i	−0.0236259	−	0.0517334i
$779$	0.108210	+	0.752617i	0.00387703	+	0.0269653i
$780$	5.23635	+	3.36520i	0.187491	+	0.120493i
$781$	50.2843			1.79932
$782$	−2.45618	+	2.29170i	−0.0878328	+	0.0819512i
$783$	3.83786			0.137154
$784$	0.841254	+	0.540641i	0.0300448	+	0.0193086i
$785$	−1.12519	−	7.82585i	−0.0401596	−	0.279316i
$786$	−7.32671	−	16.0432i	−0.261335	−	0.572244i
$787$	−44.7791	−	13.1483i	−1.59620	−	0.468687i	−0.641716	−	0.766942i	$-0.721777\pi$
$787$	−44.7791	−	13.1483i	−1.59620	−	0.468687i	−0.954486	+	0.298255i	$0.903596\pi$
$788$	9.22577	−	20.2016i	0.328655	−	0.719653i
$789$	45.0213	−	51.9574i	1.60280	−	1.84973i
$790$	−4.62204	+	32.1470i	−0.164445	+	1.14374i
$791$	4.40815	−	1.29435i	0.156736	−	0.0460217i
$792$	6.07638	+	7.01252i	0.215915	+	0.249179i
$793$	2.02625	−	1.30219i	0.0719543	−	0.0462422i
$794$	5.50381	−	3.53708i	0.195323	−	0.125526i
$795$	14.8322	+	17.1173i	0.526045	+	0.607089i
$796$	−19.5930	+	5.75303i	−0.694457	+	0.203911i
$797$	−5.61995	+	39.0876i	−0.199069	+	1.38455i	0.607925	+	0.793995i	$0.292002\pi$
$797$	−5.61995	+	39.0876i	−0.199069	+	1.38455i	−0.806994	+	0.590560i	$0.798907\pi$
$798$	−0.154861	+	0.178719i	−0.00548201	+	0.00632658i
$799$	−0.827060	+	1.81101i	−0.0292593	+	0.0640689i
$800$	−0.826153	−	0.242580i	−0.0292089	−	0.00857651i
$801$	−10.9180	−	23.9072i	−0.385770	−	0.844719i
$802$	2.38725	+	16.6037i	0.0842968	+	0.586297i
$803$	−26.0531	−	16.7433i	−0.919395	−	0.590859i
$804$	11.0427			0.389445
$805$	−7.13386	+	6.65615i	−0.251436	+	0.234598i
$806$	−7.05688			−0.248568
$807$	27.5390	+	17.6983i	0.969420	+	0.623009i
$808$	−0.888181	−	6.17743i	−0.0312461	−	0.217321i
$809$	−15.6679	−	34.3079i	−0.550854	−	1.20620i	−0.956382	−	0.292119i	$-0.905640\pi$
$809$	−15.6679	−	34.3079i	−0.550854	−	1.20620i	0.405528	−	0.914083i	$-0.367088\pi$
$810$	21.5344	+	6.32308i	0.756643	+	0.222170i
$811$	2.63498	−	5.76980i	0.0925266	−	0.202605i	−0.857710	−	0.514133i	$-0.828114\pi$
$811$	2.63498	−	5.76980i	0.0925266	−	0.202605i	0.950237	+	0.311528i	$0.100841\pi$
$812$	−1.09180	+	1.26000i	−0.0383145	+	0.0442173i
$813$	7.56356	−	52.6057i	0.265266	−	1.84496i
$814$	42.2203	−	12.3970i	1.47982	−	0.434514i
$815$	−1.65570	−	1.91078i	−0.0579966	−	0.0669316i
$816$	−1.31329	+	0.844002i	−0.0459744	+	0.0295460i
$817$	−0.0518296	+	0.0333088i	−0.00181329	+	0.00116533i
$818$	8.27042	+	9.54457i	0.289168	+	0.333718i
$819$	−2.59107	+	0.760807i	−0.0905393	+	0.0265847i
$820$	−2.07479	+	14.4305i	−0.0724548	+	0.503934i
$821$	8.71670	−	10.0596i	0.304215	−	0.351083i	−0.582973	−	0.812492i	$-0.698111\pi$
$821$	8.71670	−	10.0596i	0.304215	−	0.351083i	0.887187	+	0.461409i	$0.152656\pi$
$822$	−12.3337	+	27.0071i	−0.430187	+	0.941979i
$823$	3.81098	+	1.11901i	0.132842	+	0.0390061i	0.347478	−	0.937688i	$-0.387038\pi$
$823$	3.81098	+	1.11901i	0.132842	+	0.0390061i	−0.214635	+	0.976694i	$0.568856\pi$
$824$	4.89961	+	10.7287i	0.170686	+	0.373750i
$825$	1.28820	+	8.95963i	0.0448494	+	0.311934i
$826$	−12.0679	−	7.75556i	−0.419895	−	0.269850i
$827$	−33.6333			−1.16954			−0.584772	−	0.811197i	$-0.698816\pi$
$827$	−33.6333			−1.16954			−0.584772	+	0.811197i	$0.698816\pi$
$828$	7.35209	+	5.91170i	0.255503	+	0.205446i
$829$	10.9147			0.379083			0.189541	−	0.981873i	$-0.439300\pi$
$829$	10.9147			0.379083			0.189541	+	0.981873i	$0.439300\pi$
$830$	−3.83893	−	2.46713i	−0.133251	−	0.0856354i
$831$	2.62614	+	18.2652i	0.0911000	+	0.633614i
$832$	−0.570276	−	1.24873i	−0.0197708	−	0.0432919i
$833$	0.672084	+	0.197342i	0.0232863	+	0.00683748i
$834$	−7.31780	+	16.0237i	−0.253395	+	0.554857i
$835$	−1.24802	+	1.44029i	−0.0431895	+	0.0498434i
$836$	−0.0712280	+	0.495402i	−0.00246347	+	0.0171338i
$837$	−11.3540	+	3.33382i	−0.392450	+	0.115234i
$838$	14.0694	+	16.2370i	0.486019	+	0.560896i
$839$	44.5583	−	28.6359i	1.53832	−	0.988620i	0.550185	−	0.835043i	$-0.314557\pi$
$839$	44.5583	−	28.6359i	1.53832	−	0.988620i	0.988137	−	0.153577i	$-0.0490793\pi$
$840$	−3.81440	+	2.45137i	−0.131609	+	0.0845801i
$841$	17.1707	+	19.8160i	0.592093	+	0.683312i
$842$	−23.5711	+	6.92110i	−0.812314	+	0.238517i
$843$	4.71881	−	32.8200i	0.162524	−	1.13038i
$844$	12.6978	−	14.6540i	0.437075	−	0.504411i
$845$	9.39411	−	20.5702i	0.323167	−	0.707638i
$846$	5.36475	+	1.57523i	0.184444	+	0.0541577i
$847$	−4.67327	−	10.2330i	−0.160575	−	0.351611i
$848$	−0.710900	−	4.94442i	−0.0244124	−	0.169792i
$849$	−15.5955	−	10.0226i	−0.535235	−	0.343975i
$850$	−0.603115			−0.0206867
$851$	39.9848	−	20.0686i	1.37066	−	0.687943i
$852$	23.7588			0.813963
$853$	−10.1877	−	6.54727i	−0.348822	−	0.224174i	0.354483	−	0.935062i	$-0.384657\pi$
$853$	−10.1877	−	6.54727i	−0.348822	−	0.224174i	−0.703305	+	0.710888i	$0.748293\pi$
$854$	0.249697	+	1.73668i	0.00854447	+	0.0594281i
$855$	−0.176401	−	0.386265i	−0.00603280	−	0.0132100i
$856$	−7.34868	−	2.15777i	−0.251173	−	0.0737510i
$857$	−17.7887	+	38.9519i	−0.607652	+	1.33057i	0.316516	+	0.948587i	$0.397487\pi$
$857$	−17.7887	+	38.9519i	−0.607652	+	1.33057i	−0.924168	+	0.381985i	$0.875240\pi$
$858$	−9.45075	+	10.9067i	−0.322643	+	0.372350i
$859$	−0.423485	+	2.94540i	−0.0144491	+	0.100496i	−0.995770	−	0.0918834i	$-0.970711\pi$
$859$	−0.423485	+	2.94540i	−0.0144491	+	0.100496i	0.981321	+	0.192379i	$0.0616204\pi$
$860$	−1.13344	+	0.332809i	−0.0386501	+	0.0113487i
$861$	−10.4588	−	12.0700i	−0.356433	−	0.411346i
$862$	1.67352	−	1.07551i	0.0570005	−	0.0366320i
$863$	44.2933	−	28.4656i	1.50776	−	0.968979i	0.513959	−	0.857815i	$-0.328178\pi$
$863$	44.2933	−	28.4656i	1.50776	−	0.968979i	0.993802	−	0.111165i	$-0.0354581\pi$
$864$	−1.50746	−	1.73970i	−0.0512847	−	0.0591857i
$865$	−36.7073	+	10.7782i	−1.24809	+	0.366471i
$866$	4.76659	−	33.1524i	0.161975	−	1.12656i
$867$	24.0953	−	27.8075i	0.818319	−	0.944391i
$868$	2.13546	−	4.67601i	0.0724823	−	0.158714i
$869$	−72.2505	−	21.2147i	−2.45093	−	0.719658i
$870$	−3.14032	−	6.87635i	−0.106467	−	0.233130i
$871$	0.967998	+	6.73257i	0.0327994	+	0.228124i
$872$	13.8603	+	8.90749i	0.469370	+	0.301646i
$873$	−31.0502			−1.05089
$874$	0.0187077	+	0.508522i	0.000632798	+	0.0172010i
$875$	−11.9239			−0.403103
$876$	−12.3098	−	7.91103i	−0.415910	−	0.267289i
$877$	−4.43152	−	30.8219i	−0.149642	−	1.04078i	−0.916807	−	0.399331i	$-0.869242\pi$
$877$	−4.43152	−	30.8219i	−0.149642	−	1.04078i	0.767165	−	0.641450i	$-0.221667\pi$
$878$	14.3242	+	31.3657i	0.483420	+	1.05854i
$879$	−40.2153	−	11.8083i	−1.35643	−	0.398284i
$880$	−3.98648	+	8.72918i	−0.134384	+	0.294261i
$881$	11.7303	−	13.5375i	0.395204	−	0.456090i	−0.522920	−	0.852381i	$-0.675158\pi$
$881$	11.7303	−	13.5375i	0.395204	−	0.456090i	0.918125	+	0.396291i	$0.129703\pi$
$882$	0.279953	−	1.94711i	0.00942650	−	0.0655627i
$883$	35.0766	−	10.2994i	1.18042	−	0.346603i	0.368085	−	0.929792i	$-0.380014\pi$
$883$	35.0766	−	10.2994i	1.18042	−	0.346603i	0.812336	+	0.583189i	$0.198195\pi$
$884$	−0.629699	−	0.726712i	−0.0211791	−	0.0244420i
$885$	54.7180	−	35.1651i	1.83933	−	1.18206i
$886$	−23.3216	+	14.9879i	−0.783504	+	0.503528i
$887$	−31.3246	−	36.1505i	−1.05178	−	1.21381i	−0.976245	−	0.216671i	$-0.930480\pi$
$887$	−31.3246	−	36.1505i	−1.05178	−	1.21381i	−0.0755319	−	0.997143i	$-0.524065\pi$
$888$	19.9486	−	5.85744i	0.669431	−	0.196563i
$889$	−1.96947	+	13.6979i	−0.0660538	+	0.459414i
$890$	17.8001	−	20.5424i	0.596662	−	0.688584i
$891$	−21.6167	+	47.3340i	−0.724187	+	1.58575i
$892$	18.6173	+	5.46652i	0.623352	+	0.183033i
$893$	0.125284	+	0.274333i	0.00419246	+	0.00918021i
$894$	−0.249510	−	1.73538i	−0.00834487	−	0.0580398i
$895$	−1.39561	−	0.896902i	−0.0466500	−	0.0299801i
$896$	1.00000			0.0334077
$897$	−7.47367	+	12.6270i	−0.249539	+	0.421604i
$898$	−26.9839			−0.900464
$899$	7.20990	+	4.63352i	0.240464	+	0.154537i
$900$	0.241048	+	1.67653i	0.00803493	+	0.0558842i
$901$	−1.45352	−	3.18277i	−0.0484239	−	0.106034i
$902$	−32.4326	−	9.52306i	−1.07989	−	0.317083i
$903$	0.537584	−	1.17715i	0.0178897	−	0.0391730i
$904$	3.00859	−	3.47210i	0.100064	−	0.115480i
$905$	−1.47386	+	10.2509i	−0.0489929	+	0.340753i
$906$	−4.77066	+	1.40079i	−0.158495	+	0.0465382i
$907$	−6.54318	−	7.55123i	−0.217263	−	0.250735i	0.636647	−	0.771155i	$-0.280321\pi$
$907$	−6.54318	−	7.55123i	−0.217263	−	0.250735i	−0.853910	+	0.520420i	$0.825775\pi$
$908$	−10.5130	+	6.75631i	−0.348887	+	0.224216i
$909$	−10.3279	+	6.63735i	−0.342555	+	0.220147i
$910$	−1.82893	−	2.11070i	−0.0606285	−	0.0699691i
$911$	−6.05805	+	1.77880i	−0.200712	+	0.0589344i	−0.380543	−	0.924763i	$-0.624263\pi$
$911$	−6.05805	+	1.77880i	−0.200712	+	0.0589344i	0.179831	+	0.983697i	$0.442445\pi$
$912$	−0.0336545	+	0.234072i	−0.00111441	+	0.00775089i
$913$	6.92864	−	7.99608i	0.229304	−	0.264631i
$914$	0.768920	−	1.68370i	0.0254336	−	0.0556918i
$915$	−7.63316	−	2.24130i	−0.252345	−	0.0740951i
$916$	6.18552	+	13.5444i	0.204375	+	0.447519i
$917$	1.12622	+	7.83304i	0.0371911	+	0.258670i
$918$	−1.35645	−	0.871738i	−0.0447696	−	0.0287717i
$919$	−26.0334			−0.858764			−0.429382	−	0.903123i	$-0.641269\pi$
$919$	−26.0334			−0.858764			−0.429382	+	0.903123i	$0.641269\pi$
$920$	−2.40280	+	9.45637i	−0.0792179	+	0.311767i
$921$	−38.7861			−1.27804
$922$	12.6843	+	8.15171i	0.417736	+	0.268462i
$923$	2.08269	+	14.4854i	0.0685525	+	0.476793i
$924$	−4.36714	−	9.56270i	−0.143668	−	0.314590i
$925$	7.70687	+	2.26294i	0.253400	+	0.0744051i
$926$	0.261863	−	0.573399i	0.00860534	−	0.0188431i
$927$	15.1937	−	17.5344i	0.499026	−	0.575906i
$928$	−0.237270	+	1.65025i	−0.00778877	+	0.0541721i
$929$	−18.0533	+	5.30094i	−0.592311	+	0.173918i	−0.564132	−	0.825685i	$-0.690789\pi$
$929$	−18.0533	+	5.30094i	−0.592311	+	0.173918i	−0.0281791	+	0.999603i	$0.508971\pi$
$930$	15.2636	+	17.6152i	0.500514	+	0.577624i
$931$	0.0892619	−	0.0573652i	0.00292544	−	0.00188007i
$932$	−10.6413	+	6.83872i	−0.348566	+	0.224010i
$933$	−37.7799	−	43.6003i	−1.23686	−	1.42741i
$934$	−2.53212	+	0.743497i	−0.0828535	+	0.0243280i
$935$	−0.956620	+	6.65344i	−0.0312848	+	0.217591i
$936$	−1.76842	+	2.04087i	−0.0578027	+	0.0667079i
$937$	24.9959	−	54.7334i	0.816580	−	1.78806i	0.240543	−	0.970639i	$-0.422675\pi$
$937$	24.9959	−	54.7334i	0.816580	−	1.78806i	0.576038	−	0.817423i	$-0.304598\pi$
$938$	−4.75404	−	1.39591i	−0.155225	−	0.0455782i
$939$	−21.4909	−	47.0585i	−0.701329	−	1.53570i
$940$	0.822943	+	5.72369i	0.0268414	+	0.186686i
$941$	28.0446	+	18.0231i	0.914226	+	0.587538i	0.910977	−	0.412457i	$-0.135329\pi$
$941$	28.0446	+	18.0231i	0.914226	+	0.587538i	0.00324935	+	0.999995i	$0.498966\pi$
$942$	8.66127			0.282199
$943$	−34.1740	−	3.63704i	−1.11286	−	0.118438i
$944$	−14.3451			−0.466894
$945$	−3.93975	−	2.53192i	−0.128160	−	0.0823635i
$946$	−0.389783	−	2.71100i	−0.0126729	−	0.0881423i
$947$	−1.68284	−	3.68490i	−0.0546849	−	0.119743i	0.880317	−	0.474386i	$-0.157330\pi$
$947$	−1.68284	−	3.68490i	−0.0546849	−	0.119743i	−0.935002	+	0.354643i	$0.884603\pi$
$948$	−34.1376	−	10.0237i	−1.10874	−	0.325554i
$949$	3.74418	−	8.19860i	0.121541	−	0.266138i
$950$	−0.0598283	+	0.0690456i	−0.00194109	+	0.00224013i
$951$	6.69010	−	46.5307i	0.216941	−	1.50886i
$952$	0.672084	−	0.197342i	0.0217824	−	0.00639588i
$953$	−17.5003	−	20.1964i	−0.566889	−	0.654225i	0.397844	−	0.917453i	$-0.369758\pi$
$953$	−17.5003	−	20.1964i	−0.566889	−	0.654225i	−0.964734	+	0.263228i	$0.915213\pi$
$954$	−8.26647	+	5.31254i	−0.267637	+	0.172000i
$955$	11.5471	−	7.42087i	0.373655	−	0.240134i
$956$	−16.3160	−	18.8297i	−0.527697	−	0.608995i
$957$	16.8170	−	4.93792i	0.543617	−	0.159620i
$958$	2.85388	−	19.8491i	0.0922046	−	0.641297i
$959$	8.72383	−	10.0678i	0.281707	−	0.325108i
$960$	−1.88357	+	4.12444i	−0.0607919	+	0.133116i
$961$	4.38942	+	1.28885i	0.141594	+	0.0415758i
$962$	5.31989	+	11.6489i	0.171520	+	0.375577i
$963$	2.14414	+	14.9128i	0.0690939	+	0.480558i
$964$	1.10607	+	0.710830i	0.0356242	+	0.0228943i
$965$	−43.7213			−1.40744
$966$	−6.10530	−	8.77322i	−0.196435	−	0.282274i
$967$	−36.8248			−1.18421			−0.592103	−	0.805862i	$-0.701702\pi$
$967$	−36.8248			−1.18421			−0.592103	+	0.805862i	$0.701702\pi$
$968$	−9.46380	−	6.08202i	−0.304178	−	0.195483i
$969$	0.0235735	+	0.163957i	0.000757290	+	0.00526707i
$970$	−13.3401	−	29.2107i	−0.428324	−	0.937898i
$971$	33.6444	+	9.87889i	1.07970	+	0.317029i	0.772759	−	0.634700i	$-0.218876\pi$
$971$	33.6444	+	9.87889i	1.07970	+	0.317029i	0.306942	+	0.951728i	$0.400694\pi$
$972$	−7.34486	+	16.0830i	−0.235586	+	0.515862i
$973$	5.17600	−	5.97342i	0.165935	−	0.191499i
$974$	−4.41616	+	30.7150i	−0.141503	+	0.984174i
$975$	−2.52765	+	0.742184i	−0.0809495	+	0.0237689i
$976$	1.14898	+	1.32599i	0.0367780	+	0.0424440i
$977$	−9.56194	+	6.14509i	−0.305914	+	0.196599i	−0.684586	−	0.728932i	$-0.740017\pi$
$977$	−9.56194	+	6.14509i	−0.305914	+	0.196599i	0.378673	+	0.925531i	$0.376381\pi$
$978$	2.33005	−	1.49743i	0.0745069	−	0.0478827i
$979$	41.2704	+	47.6286i	1.31901	+	1.52222i
$980$	1.95204	−	0.573170i	0.0623555	−	0.0183092i
$981$	4.61244	−	32.0803i	0.147264	−	1.02424i
$982$	−28.6993	+	33.1207i	−0.915831	+	1.05693i
$983$	1.60852	−	3.52217i	0.0513038	−	0.112340i	−0.882244	−	0.470792i	$-0.843968\pi$
$983$	1.60852	−	3.52217i	0.0513038	−	0.112340i	0.933548	+	0.358452i	$0.116695\pi$
$984$	−15.3240	−	4.49954i	−0.488512	−	0.143440i
$985$	−18.7693	−	41.0991i	−0.598041	−	1.30953i
$986$	0.166197	+	1.15593i	0.00529281	+	0.0368123i
$987$	−5.32909	−	3.42480i	−0.169627	−	0.109013i
$988$	−0.145661			−0.00463408
$989$	−0.882233	−	2.64123i	−0.0280534	−	0.0839863i
$990$	18.8774			0.599963
$991$	−43.2981	−	27.8260i	−1.37541	−	0.883923i	−0.376317	−	0.926491i	$-0.622810\pi$
$991$	−43.2981	−	27.8260i	−1.37541	−	0.883923i	−0.999094	+	0.0425682i	$0.986446\pi$
$992$	−0.731577	−	5.08823i	−0.0232276	−	0.161551i
$993$	27.4531	+	60.1138i	0.871197	+	1.90766i
$994$	−10.2285	−	3.00337i	−0.324429	−	0.0952610i
$995$	−17.2579	+	37.7895i	−0.547112	+	1.19801i
$996$	3.27370	−	3.77806i	0.103731	−	0.119712i
$997$	5.07976	−	35.3305i	0.160878	−	1.11893i	−0.736106	−	0.676866i	$-0.763338\pi$
$997$	5.07976	−	35.3305i	0.160878	−	1.11893i	0.896984	−	0.442063i	$-0.145753\pi$
$998$	11.1560	−	3.27570i	0.353138	−	0.103691i
$999$	14.0625	+	16.2290i	0.444918	+	0.513462i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	322.2.i.b.71.1	✓	10
23.9	even	11		7406.2.a.bf.1.5		5
23.12	even	11	inner	322.2.i.b.127.1	yes	10
23.14	odd	22		7406.2.a.be.1.5		5

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
322.2.i.b.71.1	✓	10	1.1	even	1	trivial
322.2.i.b.127.1	yes	10	23.12	even	11	inner
7406.2.a.be.1.5		5	23.14	odd	22
7406.2.a.bf.1.5		5	23.9	even	11

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:	\( N \)	\(=\)	\( 322 = 2 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	322.i (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.841254 - 0.540641i) q^{2} +(-0.317178 - 2.20602i) q^{3} +(0.415415 + 0.909632i) q^{4} +(1.95204 + 0.573170i) q^{5} +(-0.925839 + 2.02730i) q^{6} +(0.654861 - 0.755750i) q^{7} +(0.142315 - 0.989821i) q^{8} +(-1.88745 + 0.554206i) q^{9} +O(q^{10})\)	\(q+(-0.841254 - 0.540641i) q^{2} +(-0.317178 - 2.20602i) q^{3} +(0.415415 + 0.909632i) q^{4} +(1.95204 + 0.573170i) q^{5} +(-0.925839 + 2.02730i) q^{6} +(0.654861 - 0.755750i) q^{7} +(0.142315 - 0.989821i) q^{8} +(-1.88745 + 0.554206i) q^{9} +(-1.33228 - 1.53753i) q^{10} +(3.96815 - 2.55018i) q^{11} +(1.87491 - 1.20493i) q^{12} +(0.898983 + 1.03748i) q^{13} +(-0.959493 + 0.281733i) q^{14} +(0.645282 - 4.48803i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-0.290980 + 0.637158i) q^{17} +(1.88745 + 0.554206i) q^{18} +(0.0440780 + 0.0965173i) q^{19} +(0.289532 + 2.01374i) q^{20} +(-1.87491 - 1.20493i) q^{21} -4.71695 q^{22} +(-4.71872 + 0.856574i) q^{23} -2.22871 q^{24} +(-0.724345 - 0.465508i) q^{25} +(-0.195368 - 1.35881i) q^{26} +(-0.956265 - 2.09393i) q^{27} +(0.959493 + 0.281733i) q^{28} +(-0.692588 + 1.51656i) q^{29} +(-2.96926 + 3.42671i) q^{30} +(0.731577 - 5.08823i) q^{31} +(0.959493 - 0.281733i) q^{32} +(-6.88436 - 7.94497i) q^{33} +(0.589262 - 0.378696i) q^{34} +(1.71148 - 1.09990i) q^{35} +(-1.28820 - 1.48666i) q^{36} +(-8.95075 + 2.62818i) q^{37} +(0.0151004 - 0.105026i) q^{38} +(2.00357 - 2.31224i) q^{39} +(0.845139 - 1.85060i) q^{40} +(6.87574 + 2.01890i) q^{41} +(0.925839 + 2.02730i) q^{42} +(0.0826345 + 0.574736i) q^{43} +(3.96815 + 2.55018i) q^{44} -4.00203 q^{45} +(4.43274 + 1.83053i) q^{46} +2.84232 q^{47} +(1.87491 + 1.20493i) q^{48} +(-0.142315 - 0.989821i) q^{49} +(0.357685 + 0.783221i) q^{50} +(1.49788 + 0.439817i) q^{51} +(-0.570276 + 1.24873i) q^{52} +(-3.27120 + 3.77517i) q^{53} +(-0.327602 + 2.27852i) q^{54} +(9.20766 - 2.70361i) q^{55} +(-0.654861 - 0.755750i) q^{56} +(0.198939 - 0.127850i) q^{57} +(1.40255 - 0.901367i) q^{58} +(9.39406 + 10.8413i) q^{59} +(4.35052 - 1.27743i) q^{60} +(0.249697 - 1.73668i) q^{61} +(-3.36635 + 3.88497i) q^{62} +(-0.817178 + 1.78937i) q^{63} +(-0.959493 - 0.281733i) q^{64} +(1.16020 + 2.54047i) q^{65} +(1.49611 + 10.4057i) q^{66} +(4.16820 + 2.67874i) q^{67} -0.700457 q^{68} +(3.38629 + 10.1379i) q^{69} -2.03445 q^{70} +(8.96805 + 5.76342i) q^{71} +(0.279953 + 1.94711i) q^{72} +(-2.72743 - 5.97224i) q^{73} +(8.95075 + 2.62818i) q^{74} +(-0.797176 + 1.74557i) q^{75} +(-0.0694846 + 0.0801894i) q^{76} +(0.671292 - 4.66894i) q^{77} +(-2.93560 + 0.861971i) q^{78} +(-10.4541 - 12.0647i) q^{79} +(-1.71148 + 1.09990i) q^{80} +(-9.28053 + 5.96423i) q^{81} +(-4.69274 - 5.41571i) q^{82} +(2.15218 - 0.631938i) q^{83} +(0.317178 - 2.20602i) q^{84} +(-0.933204 + 1.07697i) q^{85} +(0.241209 - 0.528174i) q^{86} +(3.56523 + 1.04685i) q^{87} +(-1.95949 - 4.29069i) q^{88} +(1.90142 + 13.2247i) q^{89} +(3.36672 + 2.16366i) q^{90} +1.37279 q^{91} +(-2.73939 - 3.93646i) q^{92} -11.4568 q^{93} +(-2.39111 - 1.53668i) q^{94} +(0.0307210 + 0.213669i) q^{95} +(-0.925839 - 2.02730i) q^{96} +(15.1451 + 4.44700i) q^{97} +(-0.415415 + 0.909632i) q^{98} +(-6.07638 + 7.01252i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q + q^{2} + 5 q^{3} - q^{4} + 8 q^{5} - 5 q^{6} + q^{7} + q^{8}+O(q^{10}) \) 10 * q + q^2 + 5 * q^3 - q^4 + 8 * q^5 - 5 * q^6 + q^7 + q^8	\( 10 q + q^{2} + 5 q^{3} - q^{4} + 8 q^{5} - 5 q^{6} + q^{7} + q^{8} + 3 q^{10} + 11 q^{11} + 5 q^{12} - 6 q^{13} - q^{14} + 4 q^{15} - q^{16} - 2 q^{17} - 3 q^{19} + 8 q^{20} - 5 q^{21} - 21 q^{23} + 6 q^{24} - 15 q^{25} - 5 q^{26} - 4 q^{27} + q^{28} + 2 q^{29} - 4 q^{30} + 3 q^{31} + q^{32} - 11 q^{33} + 2 q^{34} + 3 q^{35} - 6 q^{37} - 8 q^{38} + 8 q^{39} + 14 q^{40} - 23 q^{41} + 5 q^{42} - q^{43} + 11 q^{44} - 22 q^{45} - q^{46} + 38 q^{47} + 5 q^{48} - q^{49} + 4 q^{50} + 21 q^{51} + 5 q^{52} - 49 q^{53} + 4 q^{54} + 11 q^{55} - q^{56} - 7 q^{57} - 13 q^{58} + 9 q^{59} + 4 q^{60} + 16 q^{61} - 14 q^{62} - q^{64} + 15 q^{65} + 7 q^{67} - 2 q^{68} - 16 q^{69} + 8 q^{70} - 16 q^{71} + 11 q^{72} - 9 q^{73} + 6 q^{74} - 2 q^{75} - 14 q^{76} + 11 q^{77} - 8 q^{78} + 6 q^{79} - 3 q^{80} - 24 q^{81} - 43 q^{82} - 19 q^{83} - 5 q^{84} + 49 q^{85} + 23 q^{86} - 21 q^{87} - 11 q^{88} + 25 q^{89} - 11 q^{90} + 6 q^{91} + q^{92} - 4 q^{93} - 5 q^{94} + 24 q^{95} - 5 q^{96} + 16 q^{97} + q^{98} - 33 q^{99}+O(q^{100}) \) 10 * q + q^2 + 5 * q^3 - q^4 + 8 * q^5 - 5 * q^6 + q^7 + q^8 + 3 * q^10 + 11 * q^11 + 5 * q^12 - 6 * q^13 - q^14 + 4 * q^15 - q^16 - 2 * q^17 - 3 * q^19 + 8 * q^20 - 5 * q^21 - 21 * q^23 + 6 * q^24 - 15 * q^25 - 5 * q^26 - 4 * q^27 + q^28 + 2 * q^29 - 4 * q^30 + 3 * q^31 + q^32 - 11 * q^33 + 2 * q^34 + 3 * q^35 - 6 * q^37 - 8 * q^38 + 8 * q^39 + 14 * q^40 - 23 * q^41 + 5 * q^42 - q^43 + 11 * q^44 - 22 * q^45 - q^46 + 38 * q^47 + 5 * q^48 - q^49 + 4 * q^50 + 21 * q^51 + 5 * q^52 - 49 * q^53 + 4 * q^54 + 11 * q^55 - q^56 - 7 * q^57 - 13 * q^58 + 9 * q^59 + 4 * q^60 + 16 * q^61 - 14 * q^62 - q^64 + 15 * q^65 + 7 * q^67 - 2 * q^68 - 16 * q^69 + 8 * q^70 - 16 * q^71 + 11 * q^72 - 9 * q^73 + 6 * q^74 - 2 * q^75 - 14 * q^76 + 11 * q^77 - 8 * q^78 + 6 * q^79 - 3 * q^80 - 24 * q^81 - 43 * q^82 - 19 * q^83 - 5 * q^84 + 49 * q^85 + 23 * q^86 - 21 * q^87 - 11 * q^88 + 25 * q^89 - 11 * q^90 + 6 * q^91 + q^92 - 4 * q^93 - 5 * q^94 + 24 * q^95 - 5 * q^96 + 16 * q^97 + q^98 - 33 * q^99

Introduction

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