LMFDB - Embedded newform 731.2.k.a.35.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [731,2,Mod(35,731)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(731, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 6]))

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

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

chi := DirichletCharacter("731.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 731 = 17 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	731.k (of order $7$, degree $6$, 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:	$5.83706438776$
Analytic rank:	$0$
Dimension:	$180$
Relative dimension:	$30$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			35.12
Character	$\chi$	$=$	731.35
Dual form			731.2.k.a.188.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.257740 + 1.12923i) q^{2} +(-0.136286 - 0.597106i) q^{3} +(0.593200 + 0.285670i) q^{4} +(1.65651 - 2.07719i) q^{5} +0.709399 q^{6} -2.51623 q^{7} +(-1.91982 + 2.40738i) q^{8} +(2.36494 - 1.13890i) q^{9} +O(q^{10})$	\(q+(-0.257740 + 1.12923i) q^{2} +(-0.136286 - 0.597106i) q^{3} +(0.593200 + 0.285670i) q^{4} +(1.65651 - 2.07719i) q^{5} +0.709399 q^{6} -2.51623 q^{7} +(-1.91982 + 2.40738i) q^{8} +(2.36494 - 1.13890i) q^{9} +(1.91869 + 2.40596i) q^{10} +(1.70965 - 0.823326i) q^{11} +(0.0897307 - 0.393136i) q^{12} +(-2.39179 + 2.99922i) q^{13} +(0.648534 - 2.84141i) q^{14} +(-1.46606 - 0.706018i) q^{15} +(-1.40267 - 1.75889i) q^{16} +(0.623490 + 0.781831i) q^{17} +(0.676540 + 2.96411i) q^{18} +(6.65251 + 3.20368i) q^{19} +(1.57603 - 0.758976i) q^{20} +(0.342926 + 1.50246i) q^{21} +(0.489081 + 2.14280i) q^{22} +(7.09861 - 3.41851i) q^{23} +(1.69911 + 0.818247i) q^{24} +(-0.458112 - 2.00712i) q^{25} +(-2.77035 - 3.47391i) q^{26} +(-2.14794 - 2.69343i) q^{27} +(-1.49263 - 0.718812i) q^{28} +(0.0737491 - 0.323116i) q^{29} +(1.17512 - 1.47356i) q^{30} +(1.66645 - 7.30120i) q^{31} +(-3.20073 + 1.54139i) q^{32} +(-0.724614 - 0.908637i) q^{33} +(-1.04357 + 0.502556i) q^{34} +(-4.16815 + 5.22670i) q^{35} +1.72823 q^{36} +6.55081 q^{37} +(-5.33232 + 6.68652i) q^{38} +(2.11682 + 1.01941i) q^{39} +(1.82040 + 7.97568i) q^{40} +(1.71202 - 7.50085i) q^{41} -1.78501 q^{42} +(5.75591 - 3.14158i) q^{43} +1.24937 q^{44} +(1.55183 - 6.79903i) q^{45} +(2.03070 + 8.89707i) q^{46} +(-4.99170 - 2.40387i) q^{47} +(-0.859080 + 1.07725i) q^{48} -0.668579 q^{49} +2.38458 q^{50} +(0.381864 - 0.478842i) q^{51} +(-2.27560 + 1.09587i) q^{52} +(3.03827 + 3.80987i) q^{53} +(3.59513 - 1.73132i) q^{54} +(1.12184 - 4.91512i) q^{55} +(4.83072 - 6.05753i) q^{56} +(1.00630 - 4.40887i) q^{57} +(0.345865 + 0.166560i) q^{58} +(5.42300 + 6.80022i) q^{59} +(-0.667979 - 0.837620i) q^{60} +(1.55634 + 6.81875i) q^{61} +(7.81525 + 3.76363i) q^{62} +(-5.95075 + 2.86573i) q^{63} +(-1.91684 - 8.39825i) q^{64} +(2.26793 + 9.93643i) q^{65} +(1.21283 - 0.584066i) q^{66} +(-7.14583 - 3.44125i) q^{67} +(0.146508 + 0.641894i) q^{68} +(-3.00865 - 3.77273i) q^{69} +(-4.82786 - 6.05394i) q^{70} +(-9.47442 - 4.56264i) q^{71} +(-1.79851 + 7.87981i) q^{72} +(-9.85126 + 12.3531i) q^{73} +(-1.68841 + 7.39739i) q^{74} +(-1.13603 + 0.547083i) q^{75} +(3.03107 + 3.80084i) q^{76} +(-4.30188 + 2.07168i) q^{77} +(-1.69674 + 2.12764i) q^{78} -12.8820 q^{79} -5.97707 q^{80} +(3.59424 - 4.50704i) q^{81} +(8.02896 + 3.86654i) q^{82} +(0.742700 + 3.25398i) q^{83} +(-0.225783 + 0.989221i) q^{84} +2.65683 q^{85} +(2.06405 + 7.30947i) q^{86} -0.202985 q^{87} +(-1.30017 + 5.69643i) q^{88} +(2.76586 + 12.1180i) q^{89} +(7.27772 + 3.50477i) q^{90} +(6.01831 - 7.54672i) q^{91} +5.18746 q^{92} -4.58671 q^{93} +(4.00110 - 5.01722i) q^{94} +(17.6746 - 8.51163i) q^{95} +(1.35659 + 1.70111i) q^{96} +(-17.1615 + 8.26455i) q^{97} +(0.172320 - 0.754981i) q^{98} +(3.10555 - 3.89424i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9}+O(q^{10}) $ 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9} - 8 q^{10} - 12 q^{11} - 24 q^{12} - 5 q^{13} - 8 q^{14} - q^{15} - 58 q^{16} - 30 q^{17} + 36 q^{18} - 24 q^{19} - 36 q^{20} - 28 q^{21} + 5 q^{22} + 27 q^{23} - 46 q^{24} - 38 q^{25} + 6 q^{26} - 36 q^{27} - 54 q^{28} + 28 q^{29} - 21 q^{30} + 36 q^{31} + 11 q^{32} + 5 q^{33} - 4 q^{34} + 6 q^{35} + 192 q^{36} + 164 q^{37} + 32 q^{38} - 34 q^{39} + 2 q^{40} + 42 q^{41} - 2 q^{42} - 22 q^{43} + 14 q^{44} + 58 q^{45} - 53 q^{46} + 21 q^{47} - 20 q^{48} + 166 q^{49} + 18 q^{50} - 6 q^{51} + 54 q^{52} + 8 q^{53} - 154 q^{54} - 5 q^{55} - 35 q^{56} + 8 q^{57} + 9 q^{58} - 13 q^{59} - 88 q^{60} - 34 q^{61} - 36 q^{62} - 31 q^{63} - 18 q^{64} + 9 q^{65} + 222 q^{66} - 48 q^{67} - 27 q^{68} + 2 q^{69} - 64 q^{70} - 42 q^{71} + 77 q^{72} - 44 q^{73} - 35 q^{74} - 21 q^{75} + 44 q^{76} - 32 q^{77} + 124 q^{78} - 96 q^{79} + 490 q^{80} - 12 q^{81} - 130 q^{82} - 8 q^{83} + 170 q^{84} + 22 q^{85} - 12 q^{86} - 90 q^{87} - 122 q^{88} - 81 q^{89} + 49 q^{90} - 27 q^{91} - 116 q^{92} + 18 q^{93} - 124 q^{94} + 117 q^{95} + 52 q^{96} - 79 q^{97} - 54 q^{98} - 39 q^{99}+O(q^{100}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9 - 8 * q^10 - 12 * q^11 - 24 * q^12 - 5 * q^13 - 8 * q^14 - q^15 - 58 * q^16 - 30 * q^17 + 36 * q^18 - 24 * q^19 - 36 * q^20 - 28 * q^21 + 5 * q^22 + 27 * q^23 - 46 * q^24 - 38 * q^25 + 6 * q^26 - 36 * q^27 - 54 * q^28 + 28 * q^29 - 21 * q^30 + 36 * q^31 + 11 * q^32 + 5 * q^33 - 4 * q^34 + 6 * q^35 + 192 * q^36 + 164 * q^37 + 32 * q^38 - 34 * q^39 + 2 * q^40 + 42 * q^41 - 2 * q^42 - 22 * q^43 + 14 * q^44 + 58 * q^45 - 53 * q^46 + 21 * q^47 - 20 * q^48 + 166 * q^49 + 18 * q^50 - 6 * q^51 + 54 * q^52 + 8 * q^53 - 154 * q^54 - 5 * q^55 - 35 * q^56 + 8 * q^57 + 9 * q^58 - 13 * q^59 - 88 * q^60 - 34 * q^61 - 36 * q^62 - 31 * q^63 - 18 * q^64 + 9 * q^65 + 222 * q^66 - 48 * q^67 - 27 * q^68 + 2 * q^69 - 64 * q^70 - 42 * q^71 + 77 * q^72 - 44 * q^73 - 35 * q^74 - 21 * q^75 + 44 * q^76 - 32 * q^77 + 124 * q^78 - 96 * q^79 + 490 * q^80 - 12 * q^81 - 130 * q^82 - 8 * q^83 + 170 * q^84 + 22 * q^85 - 12 * q^86 - 90 * q^87 - 122 * q^88 - 81 * q^89 + 49 * q^90 - 27 * q^91 - 116 * q^92 + 18 * q^93 - 124 * q^94 + 117 * q^95 + 52 * q^96 - 79 * q^97 - 54 * q^98 - 39 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/731\mathbb{Z}\right)^\times$.

$n$	$173$	$562$
$\chi(n)$	$1$	$e\left(\frac{3}{7}\right)$

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 $

$2$	−0.257740	+	1.12923i	−0.182250	+	0.798489i	0.798307	+	0.602251i	$0.205729\pi$
$2$	−0.257740	+	1.12923i	−0.182250	+	0.798489i	−0.980556	+	0.196237i	$0.937128\pi$
$3$	−0.136286	−	0.597106i	−0.0786845	−	0.344739i	0.920227	−	0.391385i	$-0.128004\pi$
$3$	−0.136286	−	0.597106i	−0.0786845	−	0.344739i	−0.998911	+	0.0466457i	$0.985147\pi$
$4$	0.593200	+	0.285670i	0.296600	+	0.142835i
$5$	1.65651	−	2.07719i	0.740812	−	0.928948i	−0.258501	−	0.966011i	$-0.583229\pi$
$5$	1.65651	−	2.07719i	0.740812	−	0.928948i	0.999313	+	0.0370625i	$0.0118001\pi$
$6$	0.709399			0.289611
$7$	−2.51623			−0.951046			−0.475523	−	0.879703i	$-0.657741\pi$
$7$	−2.51623			−0.951046			−0.475523	+	0.879703i	$0.657741\pi$
$8$	−1.91982	+	2.40738i	−0.678760	+	0.851138i
$9$	2.36494	−	1.13890i	0.788315	−	0.379632i
$10$	1.91869	+	2.40596i	0.606742	+	0.760830i
$11$	1.70965	−	0.823326i	0.515480	−	0.248242i	−0.158011	−	0.987437i	$-0.550508\pi$
$11$	1.70965	−	0.823326i	0.515480	−	0.248242i	0.673491	+	0.739195i	$0.264794\pi$
$12$	0.0897307	−	0.393136i	0.0259030	−	0.113489i
$13$	−2.39179	+	2.99922i	−0.663365	+	0.831833i	−0.993705	−	0.112029i	$-0.964265\pi$
$13$	−2.39179	+	2.99922i	−0.663365	+	0.831833i	0.330340	+	0.943862i	$0.392836\pi$
$14$	0.648534	−	2.84141i	0.173328	−	0.759399i
$15$	−1.46606	−	0.706018i	−0.378536	−	0.182293i
$16$	−1.40267	−	1.75889i	−0.350667	−	0.439722i
$17$	0.623490	+	0.781831i	0.151218	+	0.189622i
$17$	0.623490	+	0.781831i	0.151218	+	0.189622i
$18$	0.676540	+	2.96411i	0.159462	+	0.698648i
$19$	6.65251	+	3.20368i	1.52619	+	0.734975i	0.993764	−	0.111502i	$-0.0355660\pi$
$19$	6.65251	+	3.20368i	1.52619	+	0.734975i	0.532426	+	0.846476i	$0.321280\pi$
$20$	1.57603	−	0.758976i	0.352411	−	0.169712i
$21$	0.342926	+	1.50246i	0.0748326	+	0.327863i
$22$	0.489081	+	2.14280i	0.104272	+	0.456847i
$23$	7.09861	−	3.41851i	1.48016	−	0.712808i	0.492631	−	0.870238i	$-0.336035\pi$
$23$	7.09861	−	3.41851i	1.48016	−	0.712808i	0.987530	+	0.157430i	$0.0503208\pi$
$24$	1.69911	+	0.818247i	0.346829	+	0.167024i
$25$	−0.458112	−	2.00712i	−0.0916223	−	0.401424i
$26$	−2.77035	−	3.47391i	−0.543311	−	0.681290i
$27$	−2.14794	−	2.69343i	−0.413372	−	0.518352i
$28$	−1.49263	−	0.718812i	−0.282080	−	0.135843i
$29$	0.0737491	−	0.323116i	0.0136949	−	0.0600011i	−0.967619	−	0.252416i	$-0.918775\pi$
$29$	0.0737491	−	0.323116i	0.0136949	−	0.0600011i	0.981314	+	0.192415i	$0.0616320\pi$
$30$	1.17512	−	1.47356i	0.214547	−	0.269033i
$31$	1.66645	−	7.30120i	0.299304	−	1.31133i	−0.571864	−	0.820349i	$-0.693779\pi$
$31$	1.66645	−	7.30120i	0.299304	−	1.31133i	0.871167	−	0.490986i	$-0.163363\pi$
$32$	−3.20073	+	1.54139i	−0.565815	+	0.272482i
$33$	−0.724614	−	0.908637i	−0.126139	−	0.158173i
$34$	−1.04357	+	0.502556i	−0.178971	+	0.0861877i
$35$	−4.16815	+	5.22670i	−0.704546	+	0.883473i
$36$	1.72823			0.288039
$37$	6.55081			1.07695			0.538473	−	0.842643i	$-0.319001\pi$
$37$	6.55081			1.07695			0.538473	+	0.842643i	$0.319001\pi$
$38$	−5.33232	+	6.68652i	−0.865017	+	1.08470i
$39$	2.11682	+	1.01941i	0.338962	+	0.163236i
$40$	1.82040	+	7.97568i	0.287830	+	1.26107i
$41$	1.71202	−	7.50085i	0.267373	−	1.17144i	−0.645684	−	0.763604i	$-0.723428\pi$
$41$	1.71202	−	7.50085i	0.267373	−	1.17144i	0.913057	−	0.407832i	$-0.133715\pi$
$42$	−1.78501			−0.275433
$43$	5.75591	−	3.14158i	0.877768	−	0.479086i
$43$	5.75591	−	3.14158i	0.877768	−	0.479086i
$44$	1.24937			0.188349
$45$	1.55183	−	6.79903i	0.231334	−	1.01354i
$46$	2.03070	+	8.89707i	0.299410	+	1.31180i
$47$	−4.99170	−	2.40387i	−0.728114	−	0.350641i	0.0328282	−	0.999461i	$-0.489549\pi$
$47$	−4.99170	−	2.40387i	−0.728114	−	0.350641i	−0.760942	+	0.648820i	$0.775263\pi$
$48$	−0.859080	+	1.07725i	−0.123998	+	0.155488i
$49$	−0.668579			−0.0955112
$50$	2.38458			0.337230
$51$	0.381864	−	0.478842i	0.0534716	−	0.0670513i
$52$	−2.27560	+	1.09587i	−0.315569	+	0.151970i
$53$	3.03827	+	3.80987i	0.417339	+	0.523326i	0.945414	−	0.325871i	$-0.105658\pi$
$53$	3.03827	+	3.80987i	0.417339	+	0.523326i	−0.528075	+	0.849197i	$0.677086\pi$
$54$	3.59513	−	1.73132i	0.489235	−	0.235603i
$55$	1.12184	−	4.91512i	0.151269	−	0.662755i
$56$	4.83072	−	6.05753i	0.645532	−	0.809472i
$57$	1.00630	−	4.40887i	0.133287	−	0.583969i
$58$	0.345865	+	0.166560i	0.0454143	+	0.0218704i
$59$	5.42300	+	6.80022i	0.706014	+	0.885314i	0.997457	−	0.0712746i	$-0.0227067\pi$
$59$	5.42300	+	6.80022i	0.706014	+	0.885314i	−0.291443	+	0.956588i	$0.594135\pi$
$60$	−0.667979	−	0.837620i	−0.0862358	−	0.108136i
$61$	1.55634	+	6.81875i	0.199268	+	0.873052i	0.971374	+	0.237557i	$0.0763466\pi$
$61$	1.55634	+	6.81875i	0.199268	+	0.873052i	−0.772105	+	0.635495i	$0.780796\pi$
$62$	7.81525	+	3.76363i	0.992538	+	0.477981i
$63$	−5.95075	+	2.86573i	−0.749724	+	0.361048i
$64$	−1.91684	−	8.39825i	−0.239606	−	1.04978i
$65$	2.26793	+	9.93643i	0.281302	+	1.23246i
$66$	1.21283	−	0.584066i	0.149289	−	0.0718936i
$67$	−7.14583	−	3.44125i	−0.873002	−	0.420416i	−0.0569383	−	0.998378i	$-0.518134\pi$
$67$	−7.14583	−	3.44125i	−0.873002	−	0.420416i	−0.816064	+	0.577962i	$0.803848\pi$
$68$	0.146508	+	0.641894i	0.0177667	+	0.0778411i
$69$	−3.00865	−	3.77273i	−0.362199	−	0.454183i
$70$	−4.82786	−	6.05394i	−0.577040	−	0.723585i
$71$	−9.47442	−	4.56264i	−1.12441	−	0.541486i	−0.223155	−	0.974783i	$-0.571636\pi$
$71$	−9.47442	−	4.56264i	−1.12441	−	0.541486i	−0.901251	+	0.433297i	$0.857350\pi$
$72$	−1.79851	+	7.87981i	−0.211957	+	0.928644i
$73$	−9.85126	+	12.3531i	−1.15300	+	1.44582i	−0.278741	+	0.960366i	$0.589917\pi$
$73$	−9.85126	+	12.3531i	−1.15300	+	1.44582i	−0.874262	+	0.485454i	$0.838654\pi$
$74$	−1.68841	+	7.39739i	−0.196273	+	0.859929i
$75$	−1.13603	+	0.547083i	−0.131177	+	0.0631717i
$76$	3.03107	+	3.80084i	0.347688	+	0.435987i
$77$	−4.30188	+	2.07168i	−0.490245	+	0.236090i
$78$	−1.69674	+	2.12764i	−0.192117	+	0.240908i
$79$	−12.8820			−1.44934			−0.724670	−	0.689096i	$-0.758008\pi$
$79$	−12.8820			−1.44934			−0.724670	+	0.689096i	$0.758008\pi$
$80$	−5.97707			−0.668257
$81$	3.59424	−	4.50704i	0.399361	−	0.500782i
$82$	8.02896	+	3.86654i	0.886650	+	0.426988i
$83$	0.742700	+	3.25398i	0.0815219	+	0.357171i	0.999193	−	0.0401703i	$-0.0127901\pi$
$83$	0.742700	+	3.25398i	0.0815219	+	0.357171i	−0.917671	+	0.397341i	$0.869933\pi$
$84$	−0.225783	+	0.989221i	−0.0246350	+	0.107933i
$85$	2.65683			0.288173
$86$	2.06405	+	7.30947i	0.222572	+	0.788201i
$87$	−0.202985			−0.0217623
$88$	−1.30017	+	5.69643i	−0.138599	+	0.607241i
$89$	2.76586	+	12.1180i	0.293181	+	1.28451i	0.880071	+	0.474842i	$0.157495\pi$
$89$	2.76586	+	12.1180i	0.293181	+	1.28451i	−0.586891	+	0.809666i	$0.699648\pi$
$90$	7.27772	+	3.50477i	0.767140	+	0.369435i
$91$	6.01831	−	7.54672i	0.630890	−	0.791111i
$92$	5.18746			0.540830
$93$	−4.58671			−0.475619
$94$	4.00110	−	5.01722i	0.412682	−	0.517486i
$95$	17.6746	−	8.51163i	1.81337	−	0.873275i
$96$	1.35659	+	1.70111i	0.138456	+	0.173618i
$97$	−17.1615	+	8.26455i	−1.74249	+	0.839138i	−0.760713	+	0.649088i	$0.775151\pi$
$97$	−17.1615	+	8.26455i	−1.74249	+	0.839138i	−0.981774	+	0.190050i	$0.939135\pi$
$98$	0.172320	−	0.754981i	0.0174069	−	0.0762646i
$99$	3.10555	−	3.89424i	0.312120	−	0.391386i
$100$	0.301622	−	1.32149i	0.0301622	−	0.132149i
$101$	8.67851	+	4.17935i	0.863544	+	0.415861i	0.812587	−	0.582840i	$-0.198059\pi$
$101$	8.67851	+	4.17935i	0.863544	+	0.415861i	0.0509568	+	0.998701i	$0.483773\pi$
$102$	0.442303	+	0.554630i	0.0437945	+	0.0549166i
$103$	−3.26793	−	4.09785i	−0.321999	−	0.403773i	0.594317	−	0.804231i	$-0.297423\pi$
$103$	−3.26793	−	4.09785i	−0.321999	−	0.403773i	−0.916315	+	0.400458i	$0.868851\pi$
$104$	−2.62844	−	11.5159i	−0.257739	−	1.12923i
$105$	3.68895	+	1.77651i	0.360005	+	0.173369i
$106$	−5.08532	+	2.44896i	−0.493930	+	0.237864i
$107$	0.792356	+	3.47154i	0.0766000	+	0.335606i	0.998678	−	0.0513969i	$-0.0163673\pi$
$107$	0.792356	+	3.47154i	0.0766000	+	0.335606i	−0.922078	+	0.387003i	$0.873510\pi$
$108$	−0.504725	−	2.21135i	−0.0485672	−	0.212787i
$109$	3.43424	−	1.65384i	0.328941	−	0.158409i	−0.262123	−	0.965035i	$-0.584423\pi$
$109$	3.43424	−	1.65384i	0.328941	−	0.158409i	0.591063	+	0.806625i	$0.298708\pi$
$110$	5.26117	+	2.53365i	0.501633	+	0.241574i
$111$	−0.892781	−	3.91153i	−0.0847390	−	0.371266i
$112$	3.52943	+	4.42577i	0.333500	+	0.418196i
$113$	−3.26580	−	4.09518i	−0.307221	−	0.385242i	0.604122	−	0.796892i	$-0.293524\pi$
$113$	−3.26580	−	4.09518i	−0.307221	−	0.385242i	−0.911342	+	0.411650i	$0.864953\pi$
$114$	4.71928	+	2.27269i	0.442001	+	0.212857i
$115$	4.65798	−	20.4079i	0.434359	−	1.90305i
$116$	0.136052	−	0.170604i	0.0126321	−	0.0158402i
$117$	−2.24066	+	9.81699i	−0.207149	+	0.907581i
$118$	−9.07676	+	4.37114i	−0.835584	+	0.402396i
$119$	−1.56884	−	1.96727i	−0.143816	−	0.180339i
$120$	4.51423	−	2.17394i	0.412091	−	0.198453i
$121$	−4.61334	+	5.78494i	−0.419394	+	0.525904i
$122$	−8.10109			−0.733438
$123$	−4.71213			−0.424878
$124$	3.07427	−	3.85502i	0.276078	−	0.346191i
$125$	7.04056	+	3.39056i	0.629727	+	0.303261i
$126$	−1.70233	−	7.45840i	−0.151656	−	0.664447i
$127$	1.37987	−	6.04559i	0.122443	−	0.536460i	−0.876081	−	0.482163i	$-0.839851\pi$
$127$	1.37987	−	6.04559i	0.122443	−	0.536460i	0.998525	−	0.0542964i	$-0.0172916\pi$
$128$	2.87254			0.253899
$129$	−2.66030	−	3.00874i	−0.234227	−	0.264904i
$130$	−11.8051			−1.03537
$131$	−2.11193	+	9.25296i	−0.184520	+	0.808435i	0.794922	+	0.606711i	$0.207511\pi$
$131$	−2.11193	+	9.25296i	−0.184520	+	0.808435i	−0.979442	+	0.201724i	$0.935346\pi$
$132$	−0.170270	−	0.746004i	−0.0148201	−	0.0649313i
$133$	−16.7393	−	8.06120i	−1.45148	−	0.698995i
$134$	5.72774	−	7.18236i	0.494801	−	0.620461i
$135$	−9.15285			−0.787752
$136$	−3.07916			−0.264036
$137$	−8.36995	+	10.4956i	−0.715093	+	0.896699i	−0.998049	−	0.0624344i	$-0.980114\pi$
$137$	−8.36995	+	10.4956i	−0.715093	+	0.896699i	0.282956	+	0.959133i	$0.408685\pi$
$138$	5.03574	−	2.42508i	0.428671	−	0.206437i
$139$	−12.7405	−	15.9760i	−1.08063	−	1.35507i	−0.930453	−	0.366412i	$-0.880586\pi$
$139$	−12.7405	−	15.9760i	−1.08063	−	1.35507i	−0.150180	−	0.988659i	$-0.547985\pi$
$140$	−3.96566	+	1.90976i	−0.335159	+	0.161404i
$141$	−0.755072	+	3.30819i	−0.0635885	+	0.278600i
$142$	7.59422	−	9.52285i	0.637293	−	0.799140i
$143$	−1.61981	+	7.09685i	−0.135455	+	0.593468i
$144$	−5.32042	−	2.56218i	−0.443369	−	0.213515i
$145$	−0.549008	−	0.688434i	−0.0455926	−	0.0571713i
$146$	−11.4105	−	14.3083i	−0.944336	−	1.18416i
$147$	0.0911177	+	0.399213i	0.00751526	+	0.0329265i
$148$	3.88594	+	1.87137i	0.319422	+	0.153826i
$149$	2.86137	−	1.37797i	0.234413	−	0.112887i	−0.312990	−	0.949756i	$-0.601331\pi$
$149$	2.86137	−	1.37797i	0.234413	−	0.112887i	0.547403	+	0.836869i	$0.315616\pi$
$150$	−0.324984	−	1.42385i	−0.0265348	−	0.116257i
$151$	−3.73517	−	16.3649i	−0.303964	−	1.33175i	−0.864087	−	0.503343i	$-0.832103\pi$
$151$	−3.73517	−	16.3649i	−0.303964	−	1.33175i	0.560123	−	0.828410i	$-0.310754\pi$
$152$	−20.4841	+	9.86464i	−1.66148	+	0.800128i
$153$	2.36494	+	1.13890i	0.191194	+	0.0920744i
$154$	−1.23064	−	5.39179i	−0.0991678	−	0.434482i
$155$	−12.4055	−	15.5560i	−0.996435	−	1.24949i
$156$	0.964482	+	1.20942i	0.0772204	+	0.0968313i
$157$	−8.21943	−	3.95827i	−0.655982	−	0.315904i	0.0761205	−	0.997099i	$-0.475747\pi$
$157$	−8.21943	−	3.95827i	−0.655982	−	0.315904i	−0.732103	+	0.681194i	$0.761461\pi$
$158$	3.32021	−	14.5468i	0.264142	−	1.15728i
$159$	1.86083	−	2.33340i	0.147573	−	0.185051i
$160$	−2.10026	+	9.20185i	−0.166040	+	0.727470i
$161$	−17.8617	+	8.60176i	−1.40770	+	0.677914i
$162$	4.16312	+	5.22039i	0.327086	+	0.410152i
$163$	3.96267	−	1.90832i	0.310380	−	0.149471i	−0.272209	−	0.962238i	$-0.587754\pi$
$163$	3.96267	−	1.90832i	0.310380	−	0.149471i	0.582589	+	0.812767i	$0.302040\pi$
$164$	3.15834	−	3.96043i	0.246625	−	0.309258i
$165$	−3.08774			−0.240380
$166$	−3.86593			−0.300054
$167$	6.74240	−	8.45470i	0.521743	−	0.654245i	−0.449235	−	0.893413i	$-0.648303\pi$
$167$	6.74240	−	8.45470i	0.521743	−	0.654245i	0.970978	+	0.239169i	$0.0768749\pi$
$168$	−4.27535	−	2.05890i	−0.329850	−	0.158847i
$169$	−0.381841	−	1.67295i	−0.0293724	−	0.128689i
$170$	−0.684771	+	3.00018i	−0.0525196	+	0.230103i
$171$	19.3815			1.48214
$172$	4.31186	−	0.219295i	0.328776	−	0.0167211i
$173$	2.76669			0.210348			0.105174	−	0.994454i	$-0.466460\pi$
$173$	2.76669			0.210348			0.105174	+	0.994454i	$0.466460\pi$
$174$	0.0523175	−	0.229218i	0.00396618	−	0.0173770i
$175$	1.15271	+	5.05037i	0.0871371	+	0.381772i
$176$	−3.84621	−	1.85224i	−0.289919	−	0.139618i
$177$	3.32138	−	4.16488i	0.249650	−	0.313051i
$178$	−14.3969			−1.07910
$179$	−25.2317			−1.88591			−0.942953	−	0.332925i	$-0.891965\pi$
$179$	−25.2317			−1.88591			−0.942953	+	0.332925i	$0.891965\pi$
$180$	2.86283	−	3.58987i	0.213383	−	0.267573i
$181$	8.96509	−	4.31736i	0.666370	−	0.320907i	−0.0699403	−	0.997551i	$-0.522281\pi$
$181$	8.96509	−	4.31736i	0.666370	−	0.320907i	0.736310	+	0.676645i	$0.236567\pi$
$182$	6.97085	+	8.74117i	0.516714	+	0.647939i
$183$	3.85941	−	1.85860i	0.285296	−	0.137391i
$184$	−5.39841	+	23.6520i	−0.397976	+	1.74365i
$185$	10.8514	−	13.6073i	0.797814	−	1.00043i
$186$	1.18218	−	5.17946i	0.0866815	−	0.379777i
$187$	1.70965	+	0.823326i	0.125022	+	0.0602075i
$188$	−2.27436	−	2.85196i	−0.165875	−	0.208000i
$189$	5.40472	+	6.77730i	0.393135	+	0.492976i
$190$	5.05617	+	22.1525i	0.366813	+	1.60711i
$191$	11.6899	+	5.62957i	0.845853	+	0.407341i	0.806037	−	0.591866i	$-0.201608\pi$
$191$	11.6899	+	5.62957i	0.845853	+	0.407341i	0.0398164	+	0.999207i	$0.487323\pi$
$192$	−4.75341	+	2.28912i	−0.343048	+	0.165203i
$193$	−4.88901	−	21.4202i	−0.351919	−	1.54186i	−0.772746	−	0.634716i	$-0.781117\pi$
$193$	−4.88901	−	21.4202i	−0.351919	−	1.54186i	0.420827	−	0.907141i	$-0.361740\pi$
$194$	−4.90939	−	21.5095i	−0.352474	−	1.54429i
$195$	5.62402	−	2.70839i	0.402744	−	0.193952i
$196$	−0.396601	−	0.190993i	−0.0283286	−	0.0136423i
$197$	−0.0287992	−	0.126177i	−0.00205185	−	0.00898976i	0.973892	−	0.227013i	$-0.0728961\pi$
$197$	−0.0287992	−	0.126177i	−0.00205185	−	0.00898976i	−0.975943	+	0.218024i	$0.930039\pi$
$198$	3.59708	+	4.51060i	0.255633	+	0.320554i
$199$	4.53698	+	5.68919i	0.321618	+	0.403296i	0.916189	−	0.400747i	$-0.131249\pi$
$199$	4.53698	+	5.68919i	0.321618	+	0.403296i	−0.594571	+	0.804043i	$0.702678\pi$
$200$	5.71139	+	2.75046i	0.403856	+	0.194487i
$201$	−1.08092	+	4.73581i	−0.0762421	+	0.334038i
$202$	−6.95626	+	8.72287i	−0.489441	+	0.613739i
$203$	−0.185570	+	0.813034i	−0.0130244	+	0.0570638i
$204$	0.363312	−	0.174962i	0.0254369	−	0.0122498i
$205$	−12.7447	−	15.9814i	−0.890131	−	1.11619i
$206$	5.46971	−	2.63407i	0.381093	−	0.183525i
$207$	12.8945	−	16.1692i	0.896228	−	1.12383i
$208$	8.63018			0.598395
$209$	14.0112			0.969172
$210$	−2.95688	+	3.70781i	−0.204044	+	0.255863i
$211$	−15.1507	−	7.29618i	−1.04302	−	0.502290i	−0.167698	−	0.985838i	$-0.553633\pi$
$211$	−15.1507	−	7.29618i	−1.04302	−	0.502290i	−0.875318	+	0.483548i	$0.839348\pi$
$212$	0.713936	+	3.12796i	0.0490333	+	0.214829i
$213$	−1.43315	+	6.27905i	−0.0981980	+	0.430234i
$214$	−4.12440			−0.281938
$215$	3.00903	−	17.1602i	0.205214	−	1.17031i
$216$	10.6078			0.721769
$217$	−4.19318	+	18.3715i	−0.284652	+	1.24714i
$218$	0.982433	+	4.30432i	0.0665388	+	0.291525i
$219$	8.71869	+	4.19870i	0.589155	+	0.283722i
$220$	2.06958	−	2.59517i	0.139531	−	0.174966i
$221$	−3.83614			−0.258047
$222$	4.64713			0.311895
$223$	−8.52563	+	10.6908i	−0.570918	+	0.715909i	−0.980534	−	0.196349i	$-0.937091\pi$
$223$	−8.52563	+	10.6908i	−0.570918	+	0.715909i	0.409616	+	0.912258i	$0.365663\pi$
$224$	8.05378	−	3.87850i	0.538116	−	0.259143i
$225$	−3.36931	−	4.22498i	−0.224621	−	0.281665i
$226$	5.46614	−	2.63236i	0.363602	−	0.175102i
$227$	−4.97893	+	21.8141i	−0.330463	+	1.44785i	0.487773	+	0.872971i	$0.337810\pi$
$227$	−4.97893	+	21.8141i	−0.330463	+	1.44785i	−0.818236	+	0.574883i	$0.805048\pi$
$228$	1.85642	−	2.32787i	0.122944	−	0.154167i
$229$	3.25857	−	14.2767i	0.215332	−	0.943433i	−0.745544	−	0.666456i	$-0.767810\pi$
$229$	3.25857	−	14.2767i	0.215332	−	0.943433i	0.960877	−	0.276977i	$-0.0893325\pi$
$230$	21.8448	+	10.5199i	1.44040	+	0.693661i
$231$	1.82330	+	2.28634i	0.119964	+	0.150430i
$232$	0.636278	+	0.797867i	0.0417737	+	0.0523825i
$233$	4.22137	+	18.4950i	0.276551	+	1.21165i	0.902121	+	0.431483i	$0.142009\pi$
$233$	4.22137	+	18.4950i	0.276551	+	1.21165i	−0.625570	+	0.780168i	$0.715133\pi$
$234$	−10.5082	−	5.06046i	−0.686940	−	0.330813i
$235$	−13.2621	+	6.38668i	−0.865123	+	0.416621i
$236$	1.27430	+	5.58308i	0.0829499	+	0.363427i
$237$	1.75563	+	7.69193i	0.114041	+	0.499645i
$238$	2.62586	−	1.26455i	0.170209	−	0.0819684i
$239$	−16.7351	−	8.05918i	−1.08250	−	0.521305i	−0.194385	−	0.980925i	$-0.562271\pi$
$239$	−16.7351	−	8.05918i	−1.08250	−	0.521305i	−0.888115	+	0.459621i	$0.847985\pi$
$240$	0.814589	+	3.56895i	0.0525815	+	0.230375i
$241$	13.2210	+	16.5786i	0.851638	+	1.06792i	0.996912	+	0.0785290i	$0.0250223\pi$
$241$	13.2210	+	16.5786i	0.851638	+	1.06792i	−0.145274	+	0.989392i	$0.546406\pi$
$242$	−5.34351	−	6.70055i	−0.343494	−	0.430727i
$243$	−12.4926	−	6.01613i	−0.801402	−	0.385935i
$244$	−1.02469	+	4.48948i	−0.0655993	+	0.287409i
$245$	−1.10750	+	1.38877i	−0.0707558	+	0.0887250i
$246$	1.21450	−	5.32109i	0.0774340	−	0.339261i
$247$	−25.5200	+	12.2898i	−1.62380	+	0.781979i
$248$	14.3775	+	18.0288i	0.912972	+	1.14483i
$249$	1.84175	−	0.886942i	0.116716	−	0.0562077i
$250$	−5.64337	+	7.07656i	−0.356918	+	0.447561i
$251$	16.5050			1.04179			0.520894	−	0.853621i	$-0.325599\pi$
$251$	16.5050			1.04179			0.520894	+	0.853621i	$0.325599\pi$
$252$	−4.34863			−0.273938
$253$	9.32161	−	11.6889i	0.586045	−	0.734877i
$254$	6.47124	+	3.11638i	0.406042	+	0.195539i
$255$	−0.362087	−	1.58641i	−0.0226748	−	0.0993448i
$256$	3.09332	−	13.5527i	0.193333	−	0.847045i
$257$	8.26406			0.515498			0.257749	−	0.966212i	$-0.417019\pi$
$257$	8.26406			0.515498			0.257749	+	0.966212i	$0.417019\pi$
$258$	4.08323	−	2.22863i	0.254211	−	0.138749i
$259$	−16.4833			−1.02423
$260$	−1.49321	+	6.54217i	−0.0926048	+	0.405728i
$261$	−0.193583	−	0.848143i	−0.0119825	−	0.0524988i
$262$	−9.90442	−	4.76972i	−0.611897	−	0.294674i
$263$	15.8977	−	19.9351i	0.980292	−	1.22925i	0.00693006	−	0.999976i	$-0.497794\pi$
$263$	15.8977	−	19.9351i	0.980292	−	1.22925i	0.973362	−	0.229272i	$-0.0736345\pi$
$264$	3.57857			0.220246
$265$	12.9467			0.795312
$266$	13.4174	−	16.8248i	0.822671	−	1.03160i
$267$	6.85880	−	3.30302i	0.419752	−	0.202142i
$268$	−3.25584	−	4.08270i	−0.198882	−	0.249390i
$269$	−11.2060	+	5.39654i	−0.683244	+	0.329033i	−0.743106	−	0.669174i	$-0.766648\pi$
$269$	−11.2060	+	5.39654i	−0.683244	+	0.329033i	0.0598618	+	0.998207i	$0.480934\pi$
$270$	2.35906	−	10.3357i	0.143568	−	0.629011i
$271$	1.19724	−	1.50129i	0.0727272	−	0.0911971i	−0.744137	−	0.668027i	$-0.767139\pi$
$271$	1.19724	−	1.50129i	0.0727272	−	0.0911971i	0.816864	+	0.576830i	$0.195710\pi$
$272$	0.500606	−	2.19330i	0.0303537	−	0.132988i
$273$	−5.32640	−	2.56506i	−0.322369	−	0.155245i
$274$	−9.69470	−	12.1568i	−0.585678	−	0.734417i
$275$	−2.43572	−	3.05430i	−0.146880	−	0.184181i
$276$	−0.706975	−	3.09746i	−0.0425549	−	0.186445i
$277$	−1.20888	−	0.582168i	−0.0726348	−	0.0349791i	0.397214	−	0.917726i	$-0.369977\pi$
$277$	−1.20888	−	0.582168i	−0.0726348	−	0.0349791i	−0.469849	+	0.882747i	$0.655691\pi$
$278$	21.3244	−	10.2693i	1.27895	−	0.615911i
$279$	−4.37425	−	19.1649i	−0.261880	−	1.14737i
$280$	−4.58054	−	20.0687i	−0.273740	−	1.19933i
$281$	−21.5059	+	10.3567i	−1.28294	+	0.617830i	−0.946143	−	0.323749i	$-0.895057\pi$
$281$	−21.5059	+	10.3567i	−1.28294	+	0.617830i	−0.336793	+	0.941579i	$0.609342\pi$
$282$	−3.54110	−	1.70530i	−0.210870	−	0.101549i
$283$	5.22571	+	22.8953i	0.310636	+	1.36099i	0.853468	+	0.521145i	$0.174495\pi$
$283$	5.22571	+	22.8953i	0.310636	+	1.36099i	−0.542832	+	0.839841i	$0.682648\pi$
$284$	−4.31681	−	5.41311i	−0.256156	−	0.321209i
$285$	−7.49114	−	9.39359i	−0.443737	−	0.556428i
$286$	−7.59651	−	3.65828i	−0.449191	−	0.216319i
$287$	−4.30784	+	18.8739i	−0.254284	+	1.11409i
$288$	−5.81406	+	7.29061i	−0.342597	+	0.429603i
$289$	−0.222521	+	0.974928i	−0.0130895	+	0.0573487i
$290$	0.918904	−	0.442521i	0.0539599	−	0.0259857i
$291$	7.27368	+	9.12091i	0.426391	+	0.534677i
$292$	−9.37267	+	4.51364i	−0.548494	+	0.264141i
$293$	8.84638	−	11.0930i	0.516811	−	0.648061i	−0.453117	−	0.891451i	$-0.649688\pi$
$293$	8.84638	−	11.0930i	0.516811	−	0.648061i	0.969928	+	0.243390i	$0.0782596\pi$
$294$	−0.474289			−0.0276611
$295$	23.1086			1.34543
$296$	−12.5764	+	15.7703i	−0.730988	+	0.916630i
$297$	−5.88981	−	2.83638i	−0.341761	−	0.164584i
$298$	0.818553	+	3.58632i	0.0474175	+	0.207750i
$299$	−6.72556	+	29.4666i	−0.388949	+	1.70410i
$300$	−0.830177			−0.0479303
$301$	−14.4832	+	7.90494i	−0.834798	+	0.455633i
$302$	19.4424			1.11879
$303$	1.31276	−	5.75157i	0.0754161	−	0.330419i
$304$	−3.69634	−	16.1947i	−0.212000	−	0.928831i
$305$	16.7419	+	8.06249i	0.958640	+	0.461657i
$306$	−1.89562	+	2.37703i	−0.108365	+	0.135886i
$307$	−18.9355			−1.08071			−0.540353	−	0.841438i	$-0.681709\pi$
$307$	−18.9355			−1.08071			−0.540353	+	0.841438i	$0.681709\pi$
$308$	−3.14369			−0.179128
$309$	−2.00148	+	2.50978i	−0.113860	+	0.142776i
$310$	20.7638	−	9.99931i	1.17930	−	0.567922i
$311$	12.2433	+	15.3526i	0.694251	+	0.870564i	0.996579	−	0.0826402i	$-0.0263352\pi$
$311$	12.2433	+	15.3526i	0.694251	+	0.870564i	−0.302328	+	0.953204i	$0.597764\pi$
$312$	−6.51801	+	3.13891i	−0.369010	+	0.177706i
$313$	4.98291	−	21.8316i	0.281651	−	1.23399i	−0.614025	−	0.789287i	$-0.710451\pi$
$313$	4.98291	−	21.8316i	0.281651	−	1.23399i	0.895676	−	0.444707i	$-0.146692\pi$
$314$	6.58829	−	8.26145i	0.371799	−	0.466221i
$315$	−3.90478	+	17.1079i	−0.220009	+	0.963923i
$316$	−7.64161	−	3.68000i	−0.429874	−	0.207016i
$317$	−5.52175	−	6.92406i	−0.310132	−	0.388894i	0.602199	−	0.798346i	$-0.294291\pi$
$317$	−5.52175	−	6.92406i	−0.310132	−	0.388894i	−0.912332	+	0.409452i	$0.865720\pi$
$318$	2.15535	+	2.70272i	0.120866	+	0.151561i
$319$	−0.139944	−	0.613135i	−0.00783537	−	0.0343290i
$320$	−20.6200	−	9.93008i	−1.15269	−	0.555109i
$321$	1.96489	−	0.946242i	0.109670	−	0.0528141i
$322$	−5.10971	−	22.3871i	−0.284753	−	1.24758i
$323$	1.64303	+	7.19860i	0.0914209	+	0.400541i
$324$	3.41963	−	1.64681i	0.189979	−	0.0914893i
$325$	7.11549	+	3.42664i	0.394696	+	0.190076i
$326$	1.13360	+	4.96663i	0.0627844	+	0.275076i
$327$	−1.45556	−	1.82521i	−0.0804925	−	0.100934i
$328$	14.7706	+	18.5218i	0.815572	+	1.02270i
$329$	12.5603	+	6.04870i	0.692470	+	0.333476i
$330$	0.795835	−	3.48678i	0.0438093	−	0.191941i
$331$	5.93428	−	7.44135i	0.326178	−	0.409014i	−0.591522	−	0.806289i	$-0.701473\pi$
$331$	5.93428	−	7.44135i	0.326178	−	0.409014i	0.917700	+	0.397275i	$0.130044\pi$
$332$	−0.488995	+	2.14243i	−0.0268371	+	0.117581i
$333$	15.4923	−	7.46070i	0.848972	−	0.408844i
$334$	7.80955	+	9.79286i	0.427319	+	0.535842i
$335$	−18.9852	+	9.14281i	−1.03727	+	0.499525i
$336$	2.16164	−	2.71062i	0.117927	−	0.147876i
$337$	11.6240			0.633197			0.316599	−	0.948560i	$-0.397459\pi$
$337$	11.6240			0.633197			0.316599	+	0.948560i	$0.397459\pi$
$338$	1.98757			0.108110
$339$	−2.00018	+	2.50814i	−0.108635	+	0.136224i
$340$	1.57603	+	0.758976i	0.0854722	+	0.0411612i
$341$	−3.16221	−	13.8546i	−0.171243	−	0.750266i
$342$	−4.99539	+	21.8862i	−0.270120	+	1.18347i
$343$	19.2959			1.04188
$344$	−3.48734	+	19.8879i	−0.188025	+	1.07229i
$345$	−12.8205			−0.690234
$346$	−0.713088	+	3.12424i	−0.0383359	+	0.167960i
$347$	0.764665	+	3.35022i	0.0410494	+	0.179849i	0.991297	−	0.131648i	$-0.0420268\pi$
$347$	0.764665	+	3.35022i	0.0410494	+	0.179849i	−0.950247	+	0.311497i	$0.899170\pi$
$348$	−0.120411	−	0.0579868i	−0.00645470	−	0.00310842i
$349$	−16.0802	+	20.1639i	−0.860751	+	1.07935i	0.135321	+	0.990802i	$0.456793\pi$
$349$	−16.0802	+	20.1639i	−0.860751	+	1.07935i	−0.996072	+	0.0885461i	$0.971778\pi$
$350$	−6.00015			−0.320722
$351$	13.2156			0.705398
$352$	−4.20307	+	5.27049i	−0.224025	+	0.280918i
$353$	6.19768	−	2.98465i	0.329869	−	0.158857i	−0.261617	−	0.965172i	$-0.584256\pi$
$353$	6.19768	−	2.98465i	0.329869	−	0.158857i	0.591486	+	0.806315i	$0.298541\pi$
$354$	3.84707	+	4.82407i	0.204469	+	0.256396i
$355$	−25.1719	+	12.1221i	−1.33599	+	0.643377i
$356$	−1.82105	+	7.97853i	−0.0965153	+	0.422861i
$357$	−0.960858	+	1.20488i	−0.0508540	+	0.0637689i
$358$	6.50323	−	28.4925i	0.343706	−	1.50588i
$359$	−10.4396	−	5.02744i	−0.550980	−	0.265338i	0.137613	−	0.990486i	$-0.456057\pi$
$359$	−10.4396	−	5.02744i	−0.550980	−	0.265338i	−0.688593	+	0.725148i	$0.741771\pi$
$360$	13.3886	+	16.7888i	0.705642	+	0.884847i
$361$	22.1460	+	27.7702i	1.16558	+	1.46159i
$362$	2.56464	+	11.2364i	0.134795	+	0.590574i
$363$	4.08296	+	1.96625i	0.214300	+	0.103201i
$364$	5.72593	−	2.75746i	0.300120	−	0.144530i
$365$	9.34107	+	40.9259i	0.488934	+	2.14216i
$366$	1.10406	+	4.83721i	0.0577103	+	0.252845i
$367$	−11.2887	+	5.43635i	−0.589265	+	0.283775i	−0.704661	−	0.709545i	$-0.748901\pi$
$367$	−11.2887	+	5.43635i	−0.589265	+	0.283775i	0.115396	+	0.993320i	$0.463186\pi$
$368$	−15.9698	−	7.69063i	−0.832481	−	0.400902i
$369$	−4.49387	−	19.6889i	−0.233941	−	1.02496i
$370$	12.5689	+	15.7610i	0.653428	+	0.819373i
$371$	−7.64499	−	9.58652i	−0.396908	−	0.497707i
$372$	−2.72083	−	1.31028i	−0.141069	−	0.0679351i
$373$	5.81087	−	25.4591i	0.300875	−	1.31822i	−0.567934	−	0.823074i	$-0.692257\pi$
$373$	5.81087	−	25.4591i	0.300875	−	1.31822i	0.868809	−	0.495147i	$-0.164886\pi$
$374$	−1.37037	+	1.71839i	−0.0708603	+	0.0888560i
$375$	1.06499	−	4.66605i	0.0549961	−	0.240954i
$376$	15.3702	−	7.40191i	0.792658	−	0.381724i
$377$	0.792701	+	0.994016i	0.0408262	+	0.0511944i
$378$	−9.04617	+	4.35641i	−0.465285	+	0.224069i
$379$	0.693679	−	0.869846i	0.0356319	−	0.0446810i	−0.763696	−	0.645576i	$-0.776617\pi$
$379$	0.693679	−	0.869846i	0.0356319	−	0.0446810i	0.799328	+	0.600895i	$0.205189\pi$
$380$	12.9161			0.662580
$381$	−3.79792			−0.194573
$382$	−9.37006	+	11.7497i	−0.479414	+	0.601166i
$383$	26.3645	+	12.6965i	1.34716	+	0.648758i	0.961735	−	0.273980i	$-0.0883403\pi$
$383$	26.3645	+	12.6965i	1.34716	+	0.648758i	0.385426	+	0.922739i	$0.374055\pi$
$384$	−0.391486	−	1.71521i	−0.0199779	−	0.0875291i
$385$	−2.82282	+	12.3676i	−0.143864	+	0.630310i
$386$	25.4484			1.29529
$387$	10.0345	−	13.9851i	0.510081	−	0.710900i
$388$	−12.5411			−0.636680
$389$	3.99997	−	17.5250i	0.202807	−	0.888554i	−0.766411	−	0.642350i	$-0.777960\pi$
$389$	3.99997	−	17.5250i	0.202807	−	0.888554i	0.969218	−	0.246204i	$-0.0791833\pi$
$390$	1.60886	+	7.04889i	0.0814680	+	0.356934i
$391$	7.09861	+	3.41851i	0.358992	+	0.172881i
$392$	1.28355	−	1.60952i	0.0648292	−	0.0812933i
$393$	5.81282			0.293218
$394$	0.149906			0.00755217
$395$	−21.3391	+	26.7584i	−1.07369	+	1.34636i
$396$	2.95468	−	1.42290i	0.148478	−	0.0715034i
$397$	−11.6352	−	14.5900i	−0.583953	−	0.732253i	0.398829	−	0.917025i	$-0.369417\pi$
$397$	−11.6352	−	14.5900i	−0.583953	−	0.732253i	−0.982781	+	0.184772i	$0.940845\pi$
$398$	−7.59379	+	3.65698i	−0.380642	+	0.183308i
$399$	−2.53207	+	11.0937i	−0.126762	+	0.555382i
$400$	−2.88772	+	3.62109i	−0.144386	+	0.181054i
$401$	−0.903856	+	3.96005i	−0.0451364	+	0.197756i	−0.992469	−	0.122496i	$-0.960910\pi$
$401$	−0.903856	+	3.96005i	−0.0451364	+	0.197756i	0.947333	+	0.320251i	$0.103767\pi$
$402$	−5.06924	−	2.44122i	−0.252831	−	0.121757i
$403$	17.9121	+	22.4610i	0.892264	+	1.11886i
$404$	3.95417	+	4.95838i	0.196727	+	0.246688i
$405$	−3.40810	−	14.9319i	−0.169350	−	0.741971i
$406$	−0.870276	−	0.419103i	−0.0431911	−	0.0207997i
$407$	11.1996	−	5.39345i	0.555144	−	0.267343i
$408$	0.419645	+	1.83858i	0.0207755	+	0.0910235i
$409$	7.11757	+	31.1841i	0.351941	+	1.54196i	0.772693	+	0.634780i	$0.218909\pi$
$409$	7.11757	+	31.1841i	0.351941	+	1.54196i	−0.420752	+	0.907176i	$0.638234\pi$
$410$	21.3316	−	10.2727i	1.05349	−	0.507334i
$411$	7.40768	+	3.56735i	0.365394	+	0.175965i
$412$	−0.767901	−	3.36439i	−0.0378318	−	0.165752i
$413$	−13.6455	−	17.1109i	−0.671452	−	0.841974i
$414$	14.9353	+	18.7283i	0.734032	+	0.920447i
$415$	7.98943	+	3.84751i	0.392186	+	0.188867i
$416$	3.03253	−	13.2864i	0.148682	−	0.651418i
$417$	−7.80305	+	9.78472i	−0.382117	+	0.479160i
$418$	−3.61124	+	15.8219i	−0.176631	+	0.773873i
$419$	3.06449	−	1.47578i	0.149710	−	0.0720967i	−0.357529	−	0.933902i	$-0.616381\pi$
$419$	3.06449	−	1.47578i	0.149710	−	0.0720967i	0.507239	+	0.861806i	$0.330666\pi$
$420$	1.68079	+	2.10764i	0.0820142	+	0.102843i
$421$	−25.0960	+	12.0856i	−1.22310	+	0.589016i	−0.930174	−	0.367118i	$-0.880344\pi$
$421$	−25.0960	+	12.0856i	−1.22310	+	0.589016i	−0.292929	+	0.956134i	$0.594630\pi$
$422$	12.1440	−	15.2281i	0.591162	−	0.741294i
$423$	−14.5429			−0.707098
$424$	−15.0048			−0.728696
$425$	1.28360	−	1.60958i	0.0622638	−	0.0780763i
$426$	−6.72114	−	3.23673i	−0.325640	−	0.156820i
$427$	−3.91610	−	17.1576i	−0.189513	−	0.830312i
$428$	−0.521689	+	2.28567i	−0.0252168	+	0.110482i
$429$	4.45833			0.215250
$430$	18.6023	+	7.82076i	0.897082	+	0.377150i
$431$	27.6826			1.33342			0.666712	−	0.745315i	$-0.267701\pi$
$431$	27.6826			1.33342			0.666712	+	0.745315i	$0.267701\pi$
$432$	−1.72460	+	7.55598i	−0.0829750	+	0.363537i
$433$	−0.0219211	−	0.0960428i	−0.00105346	−	0.00461552i	0.974398	−	0.224828i	$-0.0721820\pi$
$433$	−0.0219211	−	0.0960428i	−0.00105346	−	0.00461552i	−0.975452	+	0.220213i	$0.929325\pi$
$434$	−19.6650	−	9.47015i	−0.943949	−	0.454582i
$435$	−0.336246	+	0.421639i	−0.0161218	+	0.0202161i
$436$	2.50964			0.120190
$437$	58.1754			2.78290
$438$	−6.98847	+	8.76327i	−0.333922	+	0.418725i
$439$	−0.313176	+	0.150817i	−0.0149471	+	0.00719812i	−0.441342	−	0.897339i	$-0.645498\pi$
$439$	−0.313176	+	0.150817i	−0.0149471	+	0.00719812i	0.426395	+	0.904537i	$0.359783\pi$
$440$	9.67883	+	12.1369i	0.461420	+	0.578603i
$441$	−1.58115	+	0.761443i	−0.0752929	+	0.0362592i
$442$	0.988728	−	4.33190i	0.0470290	−	0.206047i
$443$	10.2868	−	12.8993i	0.488743	−	0.612864i	−0.474906	−	0.880037i	$-0.657518\pi$
$443$	10.2868	−	12.8993i	0.488743	−	0.612864i	0.963649	+	0.267172i	$0.0860893\pi$
$444$	0.587808	−	2.57536i	0.0278962	−	0.122221i
$445$	29.7531	+	14.3283i	1.41043	+	0.679229i
$446$	−9.87501	−	12.3829i	−0.467595	−	0.586346i
$447$	−1.21276	−	1.52075i	−0.0573614	−	0.0719289i
$448$	4.82323	+	21.1319i	0.227876	+	0.998390i
$449$	−13.8607	−	6.67495i	−0.654126	−	0.315010i	0.0772233	−	0.997014i	$-0.475395\pi$
$449$	−13.8607	−	6.67495i	−0.654126	−	0.315010i	−0.731349	+	0.682004i	$0.761109\pi$
$450$	5.63940	−	2.71579i	0.265844	−	0.128024i
$451$	−3.24868	−	14.2334i	−0.152974	−	0.670225i
$452$	−0.767400	−	3.36220i	−0.0360955	−	0.158145i
$453$	−9.26251	+	4.46059i	−0.435191	+	0.209577i
$454$	−23.3500	−	11.2447i	−1.09587	−	0.527742i
$455$	−5.70663	−	25.0024i	−0.267531	−	1.17213i
$456$	8.68193	+	10.8868i	0.406568	+	0.509821i
$457$	−10.9061	−	13.6758i	−0.510166	−	0.639728i	0.458323	−	0.888786i	$-0.348450\pi$
$457$	−10.9061	−	13.6758i	−0.510166	−	0.639728i	−0.968489	+	0.249058i	$0.919879\pi$
$458$	15.2819	+	7.35937i	0.714076	+	0.343881i
$459$	0.766592	−	3.35866i	0.0357814	−	0.156769i
$460$	8.59305	−	10.7753i	0.400653	−	0.502403i
$461$	1.83616	−	8.04476i	0.0855186	−	0.374682i	−0.914000	−	0.405715i	$-0.867023\pi$
$461$	1.83616	−	8.04476i	0.0855186	−	0.374682i	0.999518	+	0.0310332i	$0.00987975\pi$
$462$	−3.05175	+	1.46965i	−0.141980	+	0.0683741i
$463$	−1.01945	−	1.27835i	−0.0473778	−	0.0594099i	0.757578	−	0.652745i	$-0.226383\pi$
$463$	−1.01945	−	1.27835i	−0.0473778	−	0.0594099i	−0.804956	+	0.593335i	$0.797811\pi$
$464$	−0.671770	+	0.323507i	−0.0311861	+	0.0150185i
$465$	−7.59790	+	9.52747i	−0.352344	+	0.441826i
$466$	−21.9732			−1.01789
$467$	−13.0024			−0.601679			−0.300839	−	0.953675i	$-0.597267\pi$
$467$	−13.0024			−0.601679			−0.300839	+	0.953675i	$0.597267\pi$
$468$	−4.13358	+	5.18334i	−0.191075	+	0.239600i
$469$	17.9806	+	8.65898i	0.830265	+	0.399835i
$470$	−3.79388	−	16.6221i	−0.174999	−	0.766720i
$471$	−1.24332	+	5.44733i	−0.0572891	+	0.251000i
$472$	−26.7819			−1.23274
$473$	7.25406	−	10.1100i	0.333542	−	0.464858i
$474$	−9.13848			−0.419744
$475$	3.38257	−	14.8200i	0.155203	−	0.679989i
$476$	−0.368649	−	1.61516i	−0.0168970	−	0.0740305i
$477$	11.5244	+	5.54986i	0.527666	+	0.254110i
$478$	13.4140	−	16.8206i	0.613541	−	0.769357i
$479$	−32.6585			−1.49221			−0.746103	−	0.665831i	$-0.768077\pi$
$479$	−32.6585			−1.49221			−0.746103	+	0.665831i	$0.768077\pi$
$480$	5.78072			0.263852
$481$	−15.6682	+	19.6473i	−0.714408	+	0.895839i
$482$	−22.1287	+	10.6566i	−1.00793	+	0.485395i
$483$	7.57046	+	9.49306i	0.344468	+	0.431949i
$484$	−4.38921	+	2.11373i	−0.199510	+	0.0960788i
$485$	−11.2611	+	49.3380i	−0.511339	+	2.24032i
$486$	10.0135	−	12.5565i	0.454220	−	0.569574i
$487$	3.18036	−	13.9341i	0.144116	−	0.631412i	−0.850338	−	0.526237i	$-0.823602\pi$
$487$	3.18036	−	13.9341i	0.144116	−	0.631412i	0.994454	−	0.105175i	$-0.0335404\pi$
$488$	−19.4032	−	9.34410i	−0.878343	−	0.422988i
$489$	−1.67953	−	2.10606i	−0.0759508	−	0.0952393i
$490$	−1.28279	−	1.60857i	−0.0579507	−	0.0726679i
$491$	−2.06473	−	9.04617i	−0.0931800	−	0.408248i	0.906729	−	0.421713i	$-0.138571\pi$
$491$	−2.06473	−	9.04617i	−0.0931800	−	0.408248i	−0.999909	+	0.0134649i	$0.995714\pi$
$492$	−2.79523	−	1.34611i	−0.126019	−	0.0606875i
$493$	0.298604	−	0.143800i	0.0134484	−	0.00647643i
$494$	−7.30050	−	31.9856i	−0.328465	−	1.43910i
$495$	−2.94472	−	12.9017i	−0.132355	−	0.579886i
$496$	−15.1795	+	7.31005i	−0.681579	+	0.328231i
$497$	23.8398	+	11.4807i	1.06936	+	0.514978i
$498$	0.526870	+	2.30837i	0.0236096	+	0.103441i
$499$	−9.82025	−	12.3142i	−0.439615	−	0.551260i	0.511827	−	0.859089i	$-0.328969\pi$
$499$	−9.82025	−	12.3142i	−0.439615	−	0.551260i	−0.951442	+	0.307829i	$0.900398\pi$
$500$	3.20788	+	4.02255i	0.143461	+	0.179894i
$501$	−5.96725	−	2.87368i	−0.266597	−	0.128386i
$502$	−4.25401	+	18.6380i	−0.189866	+	0.831856i
$503$	2.37077	−	2.97285i	0.105707	−	0.132553i	−0.726164	−	0.687522i	$-0.758699\pi$
$503$	2.37077	−	2.97285i	0.105707	−	0.132553i	0.831871	+	0.554969i	$0.187270\pi$
$504$	4.52548	−	19.8274i	0.201581	−	0.883183i
$505$	23.0573	−	11.1038i	1.02604	−	0.494113i
$506$	10.7970	+	13.5390i	0.479984	+	0.601881i
$507$	−0.946892	+	0.455999i	−0.0420530	+	0.0202516i
$508$	2.54558	−	3.19206i	0.112942	−	0.141625i
$509$	−37.9350			−1.68144			−0.840720	−	0.541470i	$-0.817868\pi$
$509$	−37.9350			−1.68144			−0.840720	+	0.541470i	$0.817868\pi$
$510$	1.88475			0.0834581
$511$	24.7881	−	31.0832i	1.09656	−	1.37504i
$512$	19.6831	+	9.47886i	0.869876	+	0.418910i
$513$	−5.66030	−	24.7994i	−0.249909	−	1.09492i
$514$	−2.12998	+	9.33206i	−0.0939494	+	0.411619i
$515$	−13.9254			−0.613625
$516$	−0.718586	−	2.54475i	−0.0316340	−	0.112026i
$517$	−10.5132			−0.462372
$518$	4.24842	−	18.6135i	0.186665	−	0.817832i
$519$	−0.377061	−	1.65201i	−0.0165511	−	0.0725152i
$520$	−28.2748	−	13.6164i	−1.23993	−	0.597120i
$521$	3.66782	−	4.59930i	0.160690	−	0.201499i	−0.694968	−	0.719041i	$-0.744581\pi$
$521$	3.66782	−	4.59930i	0.160690	−	0.201499i	0.855658	+	0.517542i	$0.173153\pi$
$522$	1.00765			0.0441035
$523$	−8.31806			−0.363723			−0.181862	−	0.983324i	$-0.558212\pi$
$523$	−8.31806			−0.363723			−0.181862	+	0.983324i	$0.558212\pi$
$524$	−3.89609	+	4.88554i	−0.170201	+	0.213426i
$525$	2.85851	−	1.37659i	0.124756	−	0.0600792i
$526$	18.4139	+	23.0902i	0.802882	+	1.00678i
$527$	6.74733	−	3.24934i	0.293918	−	0.141544i
$528$	−0.581800	+	2.54903i	−0.0253196	+	0.110932i
$529$	24.3637	−	30.5512i	1.05929	−	1.32831i
$530$	−3.33690	+	14.6199i	−0.144946	+	0.635048i
$531$	20.5698	+	9.90591i	0.892655	+	0.429880i
$532$	−7.62688	−	9.56380i	−0.330667	−	0.414644i
$533$	18.4019	+	23.0752i	0.797074	+	0.999499i
$534$	1.96210	+	8.59651i	0.0849082	+	0.372007i
$535$	8.52360	+	4.10475i	0.368507	+	0.177464i
$536$	22.0031	−	10.5961i	0.950390	−	0.457684i
$537$	3.43872	+	15.0660i	0.148392	+	0.650146i
$538$	−3.20571	−	14.0451i	−0.138208	−	0.605529i
$539$	−1.14304	+	0.550458i	−0.0492341	+	0.0237099i
$540$	−5.42947	−	2.61470i	−0.233647	−	0.112519i
$541$	−1.20669	−	5.28685i	−0.0518796	−	0.227299i	0.942341	−	0.334654i	$-0.108619\pi$
$541$	−1.20669	−	5.28685i	−0.0518796	−	0.227299i	−0.994221	+	0.107354i	$0.965762\pi$
$542$	1.38673	+	1.73891i	0.0595653	+	0.0746925i
$543$	−3.79973	−	4.76471i	−0.163062	−	0.204473i
$544$	−3.20073	−	1.54139i	−0.137230	−	0.0660866i
$545$	2.25349	−	9.87318i	0.0965288	−	0.422921i
$546$	4.26938	−	5.35363i	0.182713	−	0.229114i
$547$	−4.72019	+	20.6805i	−0.201821	+	0.884235i	0.768006	+	0.640442i	$0.221249\pi$
$547$	−4.72019	+	20.6805i	−0.201821	+	0.884235i	−0.969827	+	0.243793i	$0.921608\pi$
$548$	−7.96333	+	3.83494i	−0.340176	+	0.163820i
$549$	11.4465	+	14.3535i	0.488525	+	0.612591i
$550$	4.07680	−	1.96328i	0.173835	−	0.0837147i
$551$	1.52578	−	1.91326i	0.0650002	−	0.0815077i
$552$	14.8585			0.632419
$553$	32.4141			1.37839
$554$	0.968982	−	1.21506i	0.0411681	−	0.0516232i
$555$	−9.60389	−	4.62499i	−0.407662	−	0.196320i
$556$	−2.99377	−	13.1166i	−0.126964	−	0.556266i
$557$	5.94305	−	26.0382i	0.251815	−	1.10327i	−0.677946	−	0.735112i	$-0.737130\pi$
$557$	5.94305	−	26.0382i	0.251815	−	1.10327i	0.929761	−	0.368163i	$-0.120013\pi$
$558$	22.7690			0.963889
$559$	−4.34467	+	24.7772i	−0.183760	+	1.04796i
$560$	15.0397			0.635543
$561$	0.258612	−	1.13305i	0.0109186	−	0.0478375i
$562$	−6.15220	−	26.9546i	−0.259515	−	1.13701i
$563$	−32.0072	−	15.4139i	−1.34894	−	0.649617i	−0.386801	−	0.922163i	$-0.626420\pi$
$563$	−32.0072	−	15.4139i	−1.34894	−	0.649617i	−0.962143	+	0.272546i	$0.912134\pi$
$564$	−1.39296	+	1.74671i	−0.0586541	+	0.0735499i
$565$	−13.9163			−0.585463
$566$	−27.2010			−1.14334
$567$	−9.04395	+	11.3408i	−0.379810	+	0.476267i
$568$	29.1732	−	14.0491i	1.22408	−	0.589486i
$569$	27.8996	+	34.9851i	1.16961	+	1.46665i	0.855907	+	0.517130i	$0.173000\pi$
$569$	27.8996	+	34.9851i	1.16961	+	1.46665i	0.313707	+	0.949520i	$0.398429\pi$
$570$	12.5383	−	6.03814i	0.525172	−	0.252910i
$571$	7.01440	−	30.7321i	0.293544	−	1.28610i	−0.586012	−	0.810302i	$-0.699303\pi$
$571$	7.01440	−	30.7321i	0.293544	−	1.28610i	0.879556	−	0.475796i	$-0.157840\pi$
$572$	−2.98823	+	3.74712i	−0.124944	+	0.156675i
$573$	1.76828	−	7.74735i	0.0738711	−	0.323650i
$574$	−20.2027	−	9.72911i	−0.843245	−	0.406085i
$575$	−10.1133	−	12.6817i	−0.421754	−	0.528863i
$576$	−14.0980	−	17.6783i	−0.587415	−	0.736596i
$577$	−0.470328	−	2.06064i	−0.0195800	−	0.0857857i	0.964194	−	0.265198i	$-0.0854374\pi$
$577$	−0.470328	−	2.06064i	−0.0195800	−	0.0857857i	−0.983774	+	0.179413i	$0.942580\pi$
$578$	−1.04357	−	0.502556i	−0.0434067	−	0.0209036i
$579$	−12.1238	+	5.83852i	−0.503848	+	0.242641i
$580$	−0.129006	−	0.565214i	−0.00535670	−	0.0234692i
$581$	−1.86881	−	8.18777i	−0.0775311	−	0.339686i
$582$	−12.1744	+	5.86286i	−0.504643	+	0.243023i
$583$	8.33116	+	4.01207i	0.345041	+	0.166163i
$584$	−10.8259	−	47.4315i	−0.447980	−	1.96273i
$585$	16.6801	+	20.9162i	0.689637	+	0.864778i
$586$	10.2465	+	12.8487i	0.423280	+	0.530777i
$587$	15.3434	+	7.38902i	0.633292	+	0.304977i	0.722851	−	0.691004i	$-0.242831\pi$
$587$	15.3434	+	7.38902i	0.633292	+	0.304977i	−0.0895588	+	0.995982i	$0.528546\pi$
$588$	−0.0599920	+	0.262842i	−0.00247403	+	0.0108394i
$589$	34.4768	−	43.2325i	1.42059	−	1.78137i
$590$	−5.95601	+	26.0950i	−0.245205	+	1.07431i
$591$	−0.0714164	+	0.0343923i	−0.00293768	+	0.00141471i
$592$	−9.18860	−	11.5221i	−0.377649	−	0.473557i
$593$	16.8214	−	8.10077i	0.690773	−	0.332659i	−0.0553499	−	0.998467i	$-0.517627\pi$
$593$	16.8214	−	8.10077i	0.690773	−	0.332659i	0.746123	+	0.665808i	$0.231913\pi$
$594$	4.72098	−	5.91992i	0.193704	−	0.242897i
$595$	−6.68519			−0.274066
$596$	2.09101			0.0856511
$597$	2.77873	−	3.48441i	0.113726	−	0.142608i
$598$	−31.5412	−	15.1895i	−1.28982	−	0.621143i
$599$	5.77933	+	25.3209i	0.236137	+	1.03458i	0.944442	+	0.328677i	$0.106603\pi$
$599$	5.77933	+	25.3209i	0.236137	+	1.03458i	−0.708305	+	0.705906i	$0.750540\pi$
$600$	0.863937	−	3.78516i	0.0352701	−	0.154528i
$601$	−39.7112			−1.61985			−0.809927	−	0.586530i	$-0.800494\pi$
$601$	−39.7112			−1.61985			−0.809927	+	0.586530i	$0.800494\pi$
$602$	−5.19362	−	18.3923i	−0.211676	−	0.749615i
$603$	−20.8187			−0.847804
$604$	2.45924	−	10.7747i	0.100065	−	0.438414i
$605$	4.37442	+	19.1656i	0.177845	+	0.779191i
$606$	6.15652	+	2.96482i	0.250092	+	0.120438i
$607$	−11.5252	+	14.4522i	−0.467794	+	0.586595i	−0.958629	−	0.284657i	$-0.908120\pi$
$607$	−11.5252	+	14.4522i	−0.467794	+	0.586595i	0.490835	+	0.871252i	$0.336692\pi$
$608$	−26.2310			−1.06381
$609$	0.510758			0.0206970
$610$	−13.4195	+	16.8275i	−0.543340	+	0.681326i
$611$	19.1489	−	9.22160i	0.774680	−	0.373066i
$612$	1.07754	+	1.35119i	0.0435568	+	0.0546185i
$613$	−37.9871	+	18.2936i	−1.53428	+	0.738873i	−0.994677	−	0.103044i	$-0.967142\pi$
$613$	−37.9871	+	18.2936i	−1.53428	+	0.738873i	−0.539608	+	0.841916i	$0.681428\pi$
$614$	4.88044	−	21.3826i	0.196958	−	0.862931i
$615$	−7.80567	+	9.78800i	−0.314755	+	0.394690i
$616$	3.27154	−	14.3335i	0.131814	−	0.577515i
$617$	−0.872639	−	0.420241i	−0.0351311	−	0.0169182i	0.416236	−	0.909257i	$-0.363349\pi$
$617$	−0.872639	−	0.420241i	−0.0351311	−	0.0169182i	−0.451367	+	0.892338i	$0.649063\pi$
$618$	−2.31826	−	2.90701i	−0.0932542	−	0.116937i
$619$	12.8638	+	16.1307i	0.517039	+	0.648347i	0.969977	−	0.243195i	$-0.0781956\pi$
$619$	12.8638	+	16.1307i	0.517039	+	0.648347i	−0.452938	+	0.891542i	$0.649624\pi$
$620$	−2.91506	−	12.7717i	−0.117072	−	0.512924i
$621$	−24.4549	−	11.7769i	−0.981342	−	0.472589i
$622$	−20.4922	+	9.86852i	−0.821662	+	0.395692i
$623$	−6.95954	−	30.4918i	−0.278828	−	1.22163i
$624$	−1.17617	−	5.15313i	−0.0470844	−	0.206290i
$625$	27.9798	−	13.4744i	1.11919	−	0.538975i
$626$	23.3686	+	11.2537i	0.933999	+	0.449790i
$627$	−1.90952	−	8.36615i	−0.0762589	−	0.334112i
$628$	−3.74501	−	4.69609i	−0.149442	−	0.187394i
$629$	4.08436	+	5.12163i	0.162854	+	0.204213i
$630$	−18.3124	−	8.81881i	−0.729585	−	0.351350i
$631$	−6.88045	+	30.1452i	−0.273907	+	1.20006i	0.631452	+	0.775415i	$0.282459\pi$
$631$	−6.88045	+	30.1452i	−0.273907	+	1.20006i	−0.905359	+	0.424648i	$0.860398\pi$
$632$	24.7312	−	31.0119i	0.983754	−	1.23359i
$633$	−2.29178	+	10.0409i	−0.0910900	+	0.399091i
$634$	9.24205	−	4.45074i	0.367049	−	0.176761i
$635$	−10.2721	−	12.8808i	−0.407636	−	0.511159i
$636$	1.77042	−	0.852591i	0.0702019	−	0.0338074i
$637$	1.59910	−	2.00521i	0.0633588	−	0.0794494i
$638$	0.728442			0.0288393
$639$	−27.6028			−1.09195
$640$	4.75838	−	5.96682i	0.188092	−	0.235859i
$641$	−20.0073	−	9.63502i	−0.790242	−	0.380560i	−0.00518682	−	0.999987i	$-0.501651\pi$
$641$	−20.0073	−	9.63502i	−0.790242	−	0.380560i	−0.785055	+	0.619426i	$0.787365\pi$
$642$	0.562096	+	2.46271i	0.0221842	+	0.0971952i
$643$	−0.623150	+	2.73020i	−0.0245746	+	0.107669i	−0.985728	−	0.168347i	$-0.946157\pi$
$643$	−0.623150	+	2.73020i	−0.0245746	+	0.107669i	0.961153	+	0.276016i	$0.0890142\pi$
$644$	−13.0528			−0.514354
$645$	−10.6565	+	0.541975i	−0.419600	+	0.0213402i
$646$	−8.55238			−0.336489
$647$	−1.30140	+	5.70182i	−0.0511635	+	0.224162i	−0.994046	−	0.108965i	$-0.965246\pi$
$647$	−1.30140	+	5.70182i	−0.0511635	+	0.224162i	0.942882	+	0.333126i	$0.108104\pi$
$648$	3.94985	+	17.3054i	0.155165	+	0.679822i
$649$	14.8702	+	7.16113i	0.583708	+	0.281099i
$650$	−5.70342	+	7.15187i	−0.223707	+	0.280519i
$651$	11.5412			0.452336
$652$	2.89581			0.113409
$653$	−8.37648	+	10.5038i	−0.327797	+	0.411044i	−0.918233	−	0.396040i	$-0.870384\pi$
$653$	−8.37648	+	10.5038i	−0.327797	+	0.411044i	0.590436	+	0.807084i	$0.298956\pi$
$654$	2.43625	−	1.17323i	0.0952648	−	0.0458771i
$655$	15.7218	+	19.7145i	0.614300	+	0.770307i
$656$	−15.5946	+	7.50994i	−0.608865	+	0.293214i
$657$	−9.22879	+	40.4340i	−0.360049	+	1.57748i
$658$	−10.0677	+	12.6245i	−0.392479	+	0.492153i
$659$	4.68299	−	20.5175i	0.182423	−	0.799249i	−0.798049	−	0.602592i	$-0.794135\pi$
$659$	4.68299	−	20.5175i	0.182423	−	0.799249i	0.980472	−	0.196656i	$-0.0630083\pi$
$660$	−1.83165	−	0.882075i	−0.0712968	−	0.0343347i
$661$	25.0828	+	31.4529i	0.975608	+	1.22337i	0.974733	+	0.223375i	$0.0717073\pi$
$661$	25.0828	+	31.4529i	0.975608	+	1.22337i	0.000875790		1.00000i	$0.499721\pi$
$662$	6.87352	+	8.61912i	0.267147	+	0.334992i
$663$	0.522811	+	2.29058i	0.0203043	+	0.0889589i
$664$	−9.25943	−	4.45911i	−0.359336	−	0.173047i
$665$	−44.4733	+	21.4172i	−1.72460	+	0.830524i
$666$	4.43188	+	19.4173i	0.171732	+	0.752406i
$667$	−0.581058	−	2.54578i	−0.0224987	−	0.0985731i
$668$	6.41485	−	3.08923i	0.248198	−	0.119526i
$669$	7.54546	+	3.63370i	0.291724	+	0.140487i
$670$	−5.43111	−	23.7952i	−0.209822	−	0.919290i
$671$	8.27485	+	10.3763i	0.319447	+	0.400574i
$672$	−3.41349	−	4.28038i	−0.131678	−	0.165119i
$673$	−9.00323	−	4.33573i	−0.347049	−	0.167130i	0.252236	−	0.967666i	$-0.418834\pi$
$673$	−9.00323	−	4.33573i	−0.347049	−	0.167130i	−0.599285	+	0.800536i	$0.704548\pi$
$674$	−2.99596	+	13.1262i	−0.115400	+	0.505601i
$675$	−4.42204	+	5.54507i	−0.170205	+	0.213430i
$676$	0.251405	−	1.10148i	0.00966942	−	0.0423645i
$677$	−4.75603	+	2.29038i	−0.182789	+	0.0880265i	−0.523040	−	0.852308i	$-0.675202\pi$
$677$	−4.75603	+	2.29038i	−0.182789	+	0.0880265i	0.340251	+	0.940335i	$0.389488\pi$
$678$	−2.31675	−	2.90512i	−0.0889744	−	0.111570i
$679$	43.1823	−	20.7955i	1.65719	−	0.798059i
$680$	−5.10064	+	6.39600i	−0.195601	+	0.245275i
$681$	13.7039			0.525135
$682$	16.4601			0.630288
$683$	15.0701	−	18.8973i	0.576641	−	0.723085i	−0.404895	−	0.914363i	$-0.632692\pi$
$683$	15.0701	−	18.8973i	0.576641	−	0.723085i	0.981536	+	0.191278i	$0.0612632\pi$
$684$	11.4971	+	5.53671i	0.439602	+	0.211701i
$685$	7.93648	+	34.7720i	0.303237	+	1.32857i
$686$	−4.97333	+	21.7896i	−0.189883	+	0.831931i
$687$	−8.96882			−0.342182
$688$	−13.5993	−	5.71741i	−0.518469	−	0.217974i
$689$	−18.6935			−0.712168
$690$	3.30436	−	14.4774i	0.125795	−	0.551144i
$691$	−0.626944	−	2.74682i	−0.0238501	−	0.104494i	0.961602	−	0.274448i	$-0.0884952\pi$
$691$	−0.626944	−	2.74682i	−0.0238501	−	0.104494i	−0.985452	+	0.169954i	$0.945638\pi$
$692$	1.64120	+	0.790361i	0.0623892	+	0.0300450i
$693$	−7.81429	+	9.79881i	−0.296840	+	0.372226i
$694$	−3.98026			−0.151089
$695$	−54.2900			−2.05934
$696$	0.389696	−	0.488663i	0.0147714	−	0.0185227i
$697$	6.93183	−	3.33819i	0.262562	−	0.126443i
$698$	−18.6252	−	23.3553i	−0.704975	−	0.884011i
$699$	10.4682	−	5.04122i	0.395944	−	0.190676i
$700$	−0.758950	+	3.32518i	−0.0286856	+	0.125680i
$701$	16.9702	−	21.2800i	0.640957	−	0.803734i	−0.350165	−	0.936688i	$-0.613875\pi$
$701$	16.9702	−	21.2800i	0.640957	−	0.803734i	0.991122	+	0.132953i	$0.0424461\pi$
$702$	−3.40620	+	14.9235i	−0.128559	+	0.563252i
$703$	43.5793	+	20.9867i	1.64362	+	0.791528i
$704$	−10.1916	−	12.7799i	−0.384112	−	0.481661i
$705$	5.62096	+	7.04846i	0.211697	+	0.265460i
$706$	1.77297	+	7.76790i	0.0667267	+	0.292349i
$707$	−21.8371	−	10.5162i	−0.821270	−	0.395503i
$708$	3.16002	−	1.52179i	0.118761	−	0.0571922i
$709$	8.33197	+	36.5048i	0.312914	+	1.37096i	0.849709	+	0.527252i	$0.176778\pi$
$709$	8.33197	+	36.5048i	0.312914	+	1.37096i	−0.536795	+	0.843713i	$0.680365\pi$
$710$	−7.20092	−	31.5493i	−0.270246	−	1.18402i
$711$	−30.4652	+	14.6713i	−1.14254	+	0.550216i
$712$	−34.4827	−	16.6060i	−1.29229	−	0.622335i
$713$	−13.1297	−	57.5251i	−0.491712	−	2.15433i
$714$	−1.11294	−	1.39558i	−0.0416506	−	0.0522282i
$715$	12.0583	+	15.1206i	0.450954	+	0.565479i
$716$	−14.9674	−	7.20794i	−0.559360	−	0.269373i
$717$	−2.53144	+	11.0910i	−0.0945383	+	0.414199i
$718$	8.36785	−	10.4930i	0.312285	−	0.391594i
$719$	9.96045	−	43.6396i	0.371462	−	1.62748i	−0.351215	−	0.936295i	$-0.614231\pi$
$719$	9.96045	−	43.6396i	0.371462	−	1.62748i	0.722677	−	0.691186i	$-0.242912\pi$
$720$	−14.1354	+	6.80727i	−0.526797	+	0.253692i
$721$	8.22286	+	10.3111i	0.306235	+	0.384007i
$722$	−37.0670	+	17.8505i	−1.37949	+	0.664328i
$723$	8.09735	−	10.1538i	0.301144	−	0.377622i
$724$	6.55143			0.243482
$725$	−0.682317			−0.0253406
$726$	−3.27270	+	4.10383i	−0.121461	+	0.152307i
$727$	41.0733	+	19.7798i	1.52332	+	0.733594i	0.993427	−	0.114468i	$-0.0365164\pi$
$727$	41.0733	+	19.7798i	1.52332	+	0.733594i	0.529897	+	0.848062i	$0.322231\pi$
$728$	6.61375	+	28.9767i	0.245122	+	1.07395i
$729$	1.95861	−	8.58123i	0.0725411	−	0.317823i
$730$	−48.6225			−1.79960
$731$	6.04494	+	2.54141i	0.223580	+	0.0939973i
$732$	2.82035			0.104243
$733$	6.50567	−	28.5032i	0.240293	−	1.05279i	−0.700459	−	0.713693i	$-0.747021\pi$
$733$	6.50567	−	28.5032i	0.240293	−	1.05279i	0.940751	−	0.339098i	$-0.110122\pi$
$734$	−3.22936	−	14.1487i	−0.119198	−	0.522239i
$735$	0.980178	+	0.472029i	0.0361544	+	0.0174110i
$736$	−17.4515	+	21.8834i	−0.643270	+	0.806634i
$737$	−15.0502			−0.554380
$738$	23.3916			0.861058
$739$	28.7608	−	36.0649i	1.05798	−	1.32667i	0.115171	−	0.993346i	$-0.463258\pi$
$739$	28.7608	−	36.0649i	1.05798	−	1.32667i	0.942812	−	0.333324i	$-0.108170\pi$
$740$	10.3243	−	4.97190i	0.379527	−	0.182771i
$741$	10.8163	+	13.5632i	0.397347	+	0.498257i
$742$	12.7958	−	6.16215i	0.469750	−	0.226220i
$743$	−7.66870	+	33.5988i	−0.281337	+	1.23262i	0.614743	+	0.788727i	$0.289260\pi$
$743$	−7.66870	+	33.5988i	−0.281337	+	1.23262i	−0.896080	+	0.443892i	$0.853597\pi$
$744$	8.80567	−	11.0420i	0.322831	−	0.404818i
$745$	1.87758	−	8.22623i	0.0687893	−	0.301386i
$746$	27.2516	+	13.1237i	0.997750	+	0.480491i
$747$	5.46240	+	6.84963i	0.199859	+	0.250615i
$748$	0.778967	+	0.976793i	0.0284818	+	0.0357151i
$749$	−1.99375	−	8.73520i	−0.0728501	−	0.319177i
$750$	4.99457	+	2.40526i	0.182376	+	0.0878275i
$751$	−48.1837	+	23.2040i	−1.75825	+	0.846728i	−0.784160	+	0.620559i	$0.786906\pi$
$751$	−48.1837	+	23.2040i	−1.75825	+	0.846728i	−0.974088	+	0.226169i	$0.927380\pi$
$752$	2.77354	+	12.1517i	0.101141	+	0.443126i
$753$	−2.24940	−	9.85525i	−0.0819726	−	0.359145i
$754$	−1.32679	+	0.638947i	−0.0483187	+	0.0232691i
$755$	−40.1803	−	19.3498i	−1.46231	−	0.704211i
$756$	1.27001	+	5.56426i	0.0461897	+	0.202370i
$757$	−11.1413	−	13.9708i	−0.404939	−	0.507778i	0.536990	−	0.843588i	$-0.319561\pi$
$757$	−11.1413	−	13.9708i	−0.404939	−	0.507778i	−0.941929	+	0.335811i	$0.890990\pi$
$758$	0.803470	+	1.00752i	0.0291834	+	0.0365948i
$759$	−8.24993	−	3.97296i	−0.299454	−	0.144209i
$760$	−13.4413	+	58.8903i	−0.487568	+	2.13617i
$761$	−2.68994	+	3.37307i	−0.0975101	+	0.122274i	−0.828193	−	0.560444i	$-0.810631\pi$
$761$	−2.68994	+	3.37307i	−0.0975101	+	0.122274i	0.730682	+	0.682718i	$0.239202\pi$
$762$	0.978876	−	4.28873i	0.0354609	−	0.155364i
$763$	−8.64135	+	4.16145i	−0.312838	+	0.150655i
$764$	5.32626	+	6.67892i	0.192697	+	0.241635i
$765$	6.28325	−	3.02585i	0.227171	−	0.109400i
$766$	−21.1324	+	26.4992i	−0.763546	+	0.957456i
$767$	−33.3660			−1.20478
$768$	−8.51399			−0.307222
$769$	−2.75123	+	3.44993i	−0.0992119	+	0.124408i	−0.828959	−	0.559309i	$-0.811066\pi$
$769$	−2.75123	+	3.44993i	−0.0992119	+	0.124408i	0.729747	+	0.683717i	$0.239638\pi$
$770$	−13.2383	−	6.37525i	−0.477076	−	0.229748i
$771$	−1.12627	−	4.93452i	−0.0405617	−	0.177713i
$772$	3.21893	−	14.1031i	0.115852	−	0.507581i
$773$	−28.0353			−1.00836			−0.504181	−	0.863598i	$-0.668205\pi$
$773$	−28.0353			−1.00836			−0.504181	+	0.863598i	$0.668205\pi$
$774$	13.2061	+	14.9358i	0.474683	+	0.536855i
$775$	−15.4178			−0.553824
$776$	13.0511	−	57.1808i	0.468509	−	2.05267i
$777$	2.24644	+	9.84231i	0.0805907	+	0.353091i
$778$	18.7589	+	9.03380i	0.672539	+	0.323878i
$779$	35.4196	−	44.4147i	1.26904	−	1.59132i
$780$	4.10987			0.147157
$781$	−19.9545			−0.714028
$782$	−5.68989	+	7.13490i	−0.203470	+	0.255143i
$783$	−1.02870	+	0.495396i	−0.0367627	+	0.0177040i
$784$	0.937793	+	1.17596i	0.0334926	+	0.0419984i
$785$	−21.8376	+	10.5164i	−0.779418	+	0.375348i
$786$	−1.49820	+	6.56404i	−0.0534390	+	0.234131i
$787$	−26.4675	+	33.1892i	−0.943465	+	1.18307i	0.0394900	+	0.999220i	$0.487427\pi$
$787$	−26.4675	+	33.1892i	−0.943465	+	1.18307i	−0.982955	+	0.183847i	$0.941145\pi$
$788$	0.0189614	−	0.0830754i	0.000675473	−	0.00295944i
$789$	−14.0700	−	6.77574i	−0.500904	−	0.241223i
$790$	−24.7165	−	30.9936i	−0.879375	−	1.10270i
$791$	8.21751	+	10.3044i	0.292181	+	0.366383i
$792$	3.41281	+	14.9525i	0.121269	+	0.531314i
$793$	−24.1733	−	11.6413i	−0.858421	−	0.413394i
$794$	19.4744	−	9.37839i	0.691121	−	0.332826i
$795$	−1.76446	−	7.73058i	−0.0625788	−	0.274176i
$796$	1.06610	+	4.67091i	0.0377870	+	0.165556i
$797$	9.22099	−	4.44059i	0.326624	−	0.157294i	−0.263384	−	0.964691i	$-0.584839\pi$
$797$	9.22099	−	4.44059i	0.326624	−	0.157294i	0.590008	+	0.807397i	$0.299124\pi$
$798$	−11.8748	−	5.71860i	−0.420364	−	0.202436i
$799$	−1.23285	−	5.40146i	−0.0436150	−	0.191090i
$800$	4.56004	+	5.71811i	0.161222	+	0.202166i
$801$	20.3423	+	25.5084i	0.718759	+	0.901296i
$802$	−4.23886	−	2.04133i	−0.149679	−	0.0720818i
$803$	−6.67163	+	29.2303i	−0.235437	+	1.03152i
$804$	−1.99408	+	2.50050i	−0.0703257	+	0.0881857i
$805$	−11.7206	+	51.3511i	−0.413095	+	1.80989i
$806$	−29.9804	+	14.4378i	−1.05601	+	0.508550i
$807$	4.74953	+	5.95572i	0.167191	+	0.209651i
$808$	−26.7225	+	12.8689i	−0.940094	+	0.452725i
$809$	8.80869	−	11.0457i	0.309697	−	0.388348i	−0.602487	−	0.798129i	$-0.705823\pi$
$809$	8.80869	−	11.0457i	0.309697	−	0.388348i	0.912184	+	0.409781i	$0.134395\pi$
$810$	17.7400			0.623319
$811$	7.76129			0.272536			0.136268	−	0.990672i	$-0.456489\pi$
$811$	7.76129			0.272536			0.136268	+	0.990672i	$0.456489\pi$
$812$	−0.342339	+	0.429280i	−0.0120138	+	0.0150648i
$813$	−1.05960	−	0.510276i	−0.0371617	−	0.0178961i
$814$	3.20387	+	14.0371i	0.112296	+	0.491999i
$815$	2.60024	−	11.3924i	0.0910823	−	0.399058i
$816$	−1.37786			−0.0482347
$817$	48.3559	−	2.45931i	1.69176	−	0.0860402i
$818$	−37.0486			−1.29538
$819$	5.63803	−	24.7018i	0.197009	−	0.863151i
$820$	−2.99477	−	13.1209i	−0.104582	−	0.458203i
$821$	3.09195	+	1.48900i	0.107910	+	0.0519666i	0.487060	−	0.873369i	$-0.338069\pi$
$821$	3.09195	+	1.48900i	0.107910	+	0.0519666i	−0.379150	+	0.925335i	$0.623784\pi$
$822$	−5.93763	+	7.44555i	−0.207099	+	0.259694i
$823$	33.2961			1.16063			0.580314	−	0.814393i	$-0.302930\pi$
$823$	33.2961			1.16063			0.580314	+	0.814393i	$0.302930\pi$
$824$	16.1389			0.562227
$825$	−1.49179	+	1.87064i	−0.0519374	+	0.0651274i
$826$	22.8392	−	10.9988i	0.794679	−	0.382697i
$827$	−6.52911	−	8.18725i	−0.227039	−	0.284698i	0.655244	−	0.755418i	$-0.272566\pi$
$827$	−6.52911	−	8.18725i	−0.227039	−	0.284698i	−0.882283	+	0.470719i	$0.843995\pi$
$828$	12.2680	−	5.90798i	0.426344	−	0.205316i
$829$	−2.06320	+	9.03949i	−0.0716581	+	0.313954i	−0.998036	−	0.0626403i	$-0.980048\pi$
$829$	−2.06320	+	9.03949i	−0.0716581	+	0.313954i	0.926378	+	0.376595i	$0.122905\pi$
$830$	−6.40393	+	8.03028i	−0.222284	+	0.278735i
$831$	−0.182863	+	0.801174i	−0.00634344	+	0.0277924i
$832$	29.7729	+	14.3378i	1.03219	+	0.497076i
$833$	−0.416852	−	0.522716i	−0.0144431	−	0.0181110i
$834$	−9.03807	−	11.3334i	−0.312963	−	0.392443i
$835$	−6.39322	−	28.0105i	−0.221246	−	0.969344i
$836$	8.31142	+	4.00257i	0.287456	+	0.138432i
$837$	−23.2447	+	11.1941i	−0.803456	+	0.386924i
$838$	0.876659	+	3.84090i	0.0302837	+	0.132682i
$839$	−0.495258	−	2.16987i	−0.0170982	−	0.0749121i	0.965659	−	0.259813i	$-0.0836608\pi$
$839$	−0.495258	−	2.16987i	−0.0170982	−	0.0749121i	−0.982757	+	0.184901i	$0.940804\pi$
$840$	−11.3589	+	5.47014i	−0.391918	+	0.188738i
$841$	26.0291	+	12.5350i	0.897556	+	0.432240i
$842$	−7.17921	−	31.4542i	−0.247412	−	1.08398i
$843$	9.11500	+	11.4299i	0.313937	+	0.393665i
$844$	−6.90308	−	8.65619i	−0.237614	−	0.297958i
$845$	−4.10757	−	1.97810i	−0.141305	−	0.0680487i
$846$	3.74828	−	16.4223i	0.128868	−	0.564609i
$847$	11.6082	−	14.5563i	0.398863	−	0.500159i
$848$	2.43946	−	10.6880i	0.0837713	−	0.367026i
$849$	12.9588	−	6.24061i	0.444743	−	0.214177i
$850$	1.48676	+	1.86434i	0.0509955	+	0.0639463i
$851$	46.5016	−	22.3940i	1.59405	−	0.767656i
$852$	−2.64388	+	3.31532i	−0.0905779	+	0.113581i
$853$	−40.8755			−1.39955			−0.699775	−	0.714363i	$-0.746716\pi$
$853$	−40.8755			−1.39955			−0.699775	+	0.714363i	$0.746716\pi$
$854$	20.3842			0.697534
$855$	32.1055	−	40.2591i	1.09799	−	1.37683i
$856$	−9.87851	−	4.75724i	−0.337640	−	0.162599i
$857$	3.68913	+	16.1631i	0.126018	+	0.552122i	0.998036	+	0.0626473i	$0.0199543\pi$
$857$	3.68913	+	16.1631i	0.126018	+	0.552122i	−0.872017	+	0.489475i	$0.837189\pi$
$858$	−1.14909	+	5.03449i	−0.0392293	+	0.171875i
$859$	28.1200			0.959442			0.479721	−	0.877421i	$-0.340738\pi$
$859$	28.1200			0.959442			0.479721	+	0.877421i	$0.340738\pi$
$860$	6.68710	−	9.31982i	0.228028	−	0.317803i
$861$	11.8568			0.404079
$862$	−7.13492	+	31.2601i	−0.243016	+	1.06472i
$863$	1.94281	+	8.51203i	0.0661342	+	0.289753i	0.997170	−	0.0751739i	$-0.0239512\pi$
$863$	1.94281	+	8.51203i	0.0661342	+	0.289753i	−0.931036	+	0.364927i	$0.881094\pi$
$864$	11.0266	+	5.31014i	0.375133	+	0.180655i
$865$	4.58304	−	5.74696i	0.155828	−	0.195402i
$866$	0.114105			0.00387744
$867$	0.612462			0.0208003
$868$	−7.73558	+	9.70011i	−0.262563	+	0.329243i
$869$	−22.0238	+	10.6061i	−0.747106	+	0.359787i
$870$	−0.389465	−	0.488374i	−0.0132041	−	0.0165574i
$871$	27.4124	−	13.2011i	0.928834	−	0.447303i
$872$	−2.61170	+	11.4426i	−0.0884434	+	0.387496i
$873$	−31.1736	+	39.0904i	−1.05507	+	1.32301i
$874$	−14.9941	+	65.6936i	−0.507184	+	2.22212i
$875$	−17.7157	−	8.53143i	−0.598900	−	0.288415i
$876$	3.97248	+	4.98134i	0.134218	+	0.168304i
$877$	0.910538	+	1.14178i	0.0307467	+	0.0385551i	0.796967	−	0.604023i	$-0.206436\pi$
$877$	0.910538	+	1.14178i	0.0307467	+	0.0385551i	−0.766220	+	0.642578i	$0.777865\pi$
$878$	−0.0895901	−	0.392520i	−0.00302352	−	0.0132469i
$879$	−7.82934	−	3.77041i	−0.264077	−	0.127173i
$880$	−10.2187	+	4.92108i	−0.344473	+	0.165890i
$881$	5.99820	+	26.2798i	0.202085	+	0.885390i	0.969665	+	0.244438i	$0.0786034\pi$
$881$	5.99820	+	26.2798i	0.202085	+	0.885390i	−0.767580	+	0.640953i	$0.778539\pi$
$882$	−0.452320	−	1.98174i	−0.0152304	−	0.0667288i
$883$	16.6908	−	8.03789i	0.561692	−	0.270496i	−0.131420	−	0.991327i	$-0.541954\pi$
$883$	16.6908	−	8.03789i	0.561692	−	0.270496i	0.693111	+	0.720830i	$0.256239\pi$
$884$	−2.27560	−	1.09587i	−0.0765366	−	0.0368581i
$885$	−3.14937	−	13.7983i	−0.105865	−	0.463824i
$886$	11.9150	+	14.9409i	0.400292	+	0.501950i
$887$	−3.12451	−	3.91801i	−0.104911	−	0.131554i	0.726604	−	0.687056i	$-0.241097\pi$
$887$	−3.12451	−	3.91801i	−0.104911	−	0.131554i	−0.831515	+	0.555502i	$0.812526\pi$
$888$	11.1305	+	5.36018i	0.373516	+	0.179876i
$889$	−3.47206	+	15.2121i	−0.116449	+	0.510198i
$890$	−23.8486	+	29.9052i	−0.799408	+	1.00243i
$891$	2.43415	−	10.6647i	0.0815471	−	0.357281i
$892$	−8.11144	+	3.90626i	−0.271591	+	0.130791i
$893$	−25.5061	−	31.9836i	−0.853528	−	1.07029i
$894$	2.02985	−	0.977527i	0.0678885	−	0.0326934i
$895$	−41.7965	+	52.4111i	−1.39710	+	1.75191i
$896$	−7.22798			−0.241470
$897$	18.5113			0.618074
$898$	11.1100	−	13.9315i	0.370746	−	0.464901i
$899$	−2.23623	−	1.07691i	−0.0745826	−	0.0359171i
$900$	−0.791724	−	3.46877i	−0.0263908	−	0.115626i
$901$	−1.08435	+	4.75083i	−0.0361248	+	0.158273i
$902$	16.9102			0.563047
$903$	6.69394	+	7.57068i	0.222760	+	0.251936i
$904$	16.1284			0.536423
$905$	5.88273	−	25.7739i	0.195549	−	0.856754i
$906$	−2.64973	−	11.6092i	−0.0880312	−	0.385690i
$907$	−4.89124	−	2.35550i	−0.162411	−	0.0782130i	0.350912	−	0.936408i	$-0.385872\pi$
$907$	−4.89124	−	2.35550i	−0.162411	−	0.0782130i	−0.513323	+	0.858195i	$0.671586\pi$
$908$	−9.18513	+	11.5178i	−0.304819	+	0.382231i
$909$	25.2840			0.838618
$910$	29.7043			0.984689
$911$	10.2494	−	12.8524i	0.339578	−	0.425818i	−0.582494	−	0.812835i	$-0.697923\pi$
$911$	10.2494	−	12.8524i	0.339578	−	0.425818i	0.922072	+	0.387017i	$0.126495\pi$
$912$	−9.16621	+	4.41421i	−0.303524	+	0.146169i
$913$	3.94885	+	4.95170i	0.130688	+	0.163877i
$914$	18.2541	−	8.79073i	0.603793	−	0.290771i
$915$	2.53248	−	11.0955i	0.0837211	−	0.366806i
$916$	6.01141	−	7.53807i	0.198623	−	0.249065i
$917$	5.31410	−	23.2826i	0.175487	−	0.768859i
$918$	3.59513	+	1.73132i	0.118657	+	0.0571421i
$919$	23.9043	+	29.9750i	0.788530	+	0.988786i	0.999935	+	0.0113870i	$0.00362468\pi$
$919$	23.9043	+	29.9750i	0.788530	+	0.988786i	−0.211405	+	0.977399i	$0.567804\pi$
$920$	40.1872	+	50.3932i	1.32493	+	1.66141i
$921$	2.58064	+	11.3065i	0.0850348	+	0.372562i
$922$	8.61116	+	4.14691i	0.283593	+	0.136571i
$923$	36.3452	−	17.5029i	1.19632	−	0.576116i
$924$	0.428440	+	1.87712i	0.0140946	+	0.0617527i
$925$	−3.00100	−	13.1482i	−0.0986723	−	0.432312i
$926$	1.70631	−	0.821714i	0.0560727	−	0.0270032i
$927$	−12.3955	−	5.96936i	−0.407122	−	0.196059i
$928$	0.261997	+	1.14788i	0.00860046	+	0.0376811i
$929$	−21.4858	−	26.9424i	−0.704927	−	0.883950i	0.292454	−	0.956280i	$-0.405528\pi$
$929$	−21.4858	−	26.9424i	−0.704927	−	0.883950i	−0.997381	+	0.0723292i	$0.976957\pi$
$930$	−8.80045	−	11.0354i	−0.288578	−	0.361866i
$931$	−4.44773	−	2.14191i	−0.145768	−	0.0701984i
$932$	−2.77936	+	12.1772i	−0.0910410	+	0.398877i
$933$	7.49853	−	9.40286i	0.245491	−	0.307836i
$934$	3.35124	−	14.6827i	0.109656	−	0.480434i
$935$	4.54226	−	2.18743i	0.148548	−	0.0715368i
$936$	−19.3316	−	24.2410i	−0.631872	−	0.792342i
$937$	−9.69953	+	4.67105i	−0.316870	+	0.152596i	−0.585557	−	0.810631i	$-0.699124\pi$
$937$	−9.69953	+	4.67105i	−0.316870	+	0.152596i	0.268688	+	0.963227i	$0.413410\pi$
$938$	−14.4123	+	18.0725i	−0.470579	+	0.590087i
$939$	−13.7149			−0.447568
$940$	−9.69154			−0.316103
$941$	2.03859	−	2.55632i	0.0664563	−	0.0833335i	−0.747492	−	0.664271i	$-0.768742\pi$
$941$	2.03859	−	2.55632i	0.0664563	−	0.0833335i	0.813949	+	0.580937i	$0.197314\pi$
$942$	−5.83086	−	2.80799i	−0.189980	−	0.0914893i
$943$	−13.4888	−	59.0981i	−0.439255	−	1.92450i
$944$	4.35418	−	19.0769i	0.141716	−	0.620900i
$945$	23.0307			0.749189
$946$	9.54689	+	10.7973i	0.310396	+	0.351050i
$947$	6.07775			0.197500			0.0987501	−	0.995112i	$-0.468516\pi$
$947$	6.07775			0.197500			0.0987501	+	0.995112i	$0.468516\pi$
$948$	−1.15591	+	5.06438i	−0.0375423	+	0.164483i
$949$	−13.4874	−	59.0921i	−0.437819	−	1.91821i
$950$	15.8634	+	7.63943i	0.514678	+	0.247856i
$951$	−3.38186	+	4.24072i	−0.109664	+	0.137515i
$952$	7.74787			0.251110
$953$	28.0296			0.907967			0.453984	−	0.891010i	$-0.350002\pi$
$953$	28.0296			0.907967			0.453984	+	0.891010i	$0.350002\pi$
$954$	−9.23738	+	11.5833i	−0.299071	+	0.375024i
$955$	31.0581	−	14.9568i	1.00502	−	0.483991i
$956$	−7.62496	−	9.56140i	−0.246609	−	0.309238i
$957$	−0.347035	+	0.167123i	−0.0112180	+	0.00540232i
$958$	8.41741	−	36.8791i	0.271954	−	1.19151i
$959$	21.0607	−	26.4093i	0.680087	−	0.852802i
$960$	−3.11910	+	13.6657i	−0.100669	+	0.441058i
$961$	−22.6005	−	10.8838i	−0.729047	−	0.351091i
$962$	−18.1480	−	22.7569i	−0.585116	−	0.733713i
$963$	5.82761	+	7.30759i	0.187792	+	0.235484i
$964$	3.10668	+	13.6112i	0.100059	+	0.438389i
$965$	−52.5924	−	25.3272i	−1.69301	−	0.815311i
$966$	−12.6711	+	6.10207i	−0.407686	+	0.196331i
$967$	6.21277	+	27.2199i	0.199789	+	0.875334i	0.971062	+	0.238829i	$0.0767634\pi$
$967$	6.21277	+	27.2199i	0.199789	+	0.875334i	−0.771273	+	0.636505i	$0.780379\pi$
$968$	−5.06977	−	22.2121i	−0.162949	−	0.713925i
$969$	4.07441	−	1.96213i	0.130889	−	0.0630328i
$970$	−52.8117	−	25.4328i	−1.69568	−	0.816597i
$971$	−1.88414	−	8.25494i	−0.0604648	−	0.264914i	0.935656	−	0.352915i	$-0.114809\pi$
$971$	−1.88414	−	8.25494i	−0.0604648	−	0.264914i	−0.996120	+	0.0880007i	$0.971952\pi$
$972$	−5.69199	−	7.13753i	−0.182571	−	0.228936i
$973$	32.0580	+	40.1994i	1.02773	+	1.28873i
$974$	14.9151	+	7.18273i	0.477910	+	0.230150i
$975$	1.07633	−	4.71570i	0.0344701	−	0.151023i
$976$	9.81040	−	12.3019i	0.314023	−	0.393773i
$977$	−11.9054	+	52.1609i	−0.380887	+	1.66877i	0.313822	+	0.949482i	$0.398391\pi$
$977$	−11.9054	+	52.1609i	−0.380887	+	1.66877i	−0.694708	+	0.719292i	$0.744467\pi$
$978$	2.81111	−	1.35376i	0.0898895	−	0.0432885i
$979$	14.7057	+	18.4404i	0.469998	+	0.589358i
$980$	−1.05370	+	0.507435i	−0.0336592	+	0.0162094i
$981$	6.23823	−	7.82250i	0.199171	−	0.249753i
$982$	10.7474			0.342964
$983$	13.0410			0.415944			0.207972	−	0.978135i	$-0.433314\pi$
$983$	13.0410			0.415944			0.207972	+	0.978135i	$0.433314\pi$
$984$	9.04645	−	11.3439i	0.288390	−	0.361630i
$985$	−0.309800	−	0.149192i	−0.00987106	−	0.00475365i
$986$	0.0854216	+	0.374256i	0.00272038	+	0.0119188i
$987$	1.89994	−	8.32416i	0.0604756	−	0.264961i
$988$	−18.6493			−0.593312
$989$	30.1194	−	41.9775i	0.957741	−	1.33481i
$990$	15.3280			0.487154
$991$	8.36848	−	36.6647i	0.265834	−	1.16469i	−0.648976	−	0.760809i	$-0.724803\pi$
$991$	8.36848	−	36.6647i	0.265834	−	1.16469i	0.914810	−	0.403885i	$-0.132340\pi$
$992$	5.92014	+	25.9378i	0.187965	+	0.823527i
$993$	−5.25204	−	2.52925i	−0.166668	−	0.0802632i
$994$	−19.1088	+	23.9617i	−0.606095	+	0.760019i
$995$	19.3331			0.612900
$996$	1.34590			0.0426465
$997$	−13.6227	+	17.0823i	−0.431436	+	0.541003i	−0.949264	−	0.314482i	$-0.898169\pi$
$997$	−13.6227	+	17.0823i	−0.431436	+	0.541003i	0.517828	+	0.855485i	$0.326741\pi$
$998$	16.4367	−	7.91549i	0.520294	−	0.250560i
$999$	−14.0707	−	17.6442i	−0.445179	−	0.558237i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	731.2.k.a.35.12	✓	180
43.16	even	7	inner	731.2.k.a.188.12	yes	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
731.2.k.a.35.12	✓	180	1.1	even	1	trivial
731.2.k.a.188.12	yes	180	43.16	even	7	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 731 = 17 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	731.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.257740 + 1.12923i) q^{2} +(-0.136286 - 0.597106i) q^{3} +(0.593200 + 0.285670i) q^{4} +(1.65651 - 2.07719i) q^{5} +0.709399 q^{6} -2.51623 q^{7} +(-1.91982 + 2.40738i) q^{8} +(2.36494 - 1.13890i) q^{9} +O(q^{10})\)	\(q+(-0.257740 + 1.12923i) q^{2} +(-0.136286 - 0.597106i) q^{3} +(0.593200 + 0.285670i) q^{4} +(1.65651 - 2.07719i) q^{5} +0.709399 q^{6} -2.51623 q^{7} +(-1.91982 + 2.40738i) q^{8} +(2.36494 - 1.13890i) q^{9} +(1.91869 + 2.40596i) q^{10} +(1.70965 - 0.823326i) q^{11} +(0.0897307 - 0.393136i) q^{12} +(-2.39179 + 2.99922i) q^{13} +(0.648534 - 2.84141i) q^{14} +(-1.46606 - 0.706018i) q^{15} +(-1.40267 - 1.75889i) q^{16} +(0.623490 + 0.781831i) q^{17} +(0.676540 + 2.96411i) q^{18} +(6.65251 + 3.20368i) q^{19} +(1.57603 - 0.758976i) q^{20} +(0.342926 + 1.50246i) q^{21} +(0.489081 + 2.14280i) q^{22} +(7.09861 - 3.41851i) q^{23} +(1.69911 + 0.818247i) q^{24} +(-0.458112 - 2.00712i) q^{25} +(-2.77035 - 3.47391i) q^{26} +(-2.14794 - 2.69343i) q^{27} +(-1.49263 - 0.718812i) q^{28} +(0.0737491 - 0.323116i) q^{29} +(1.17512 - 1.47356i) q^{30} +(1.66645 - 7.30120i) q^{31} +(-3.20073 + 1.54139i) q^{32} +(-0.724614 - 0.908637i) q^{33} +(-1.04357 + 0.502556i) q^{34} +(-4.16815 + 5.22670i) q^{35} +1.72823 q^{36} +6.55081 q^{37} +(-5.33232 + 6.68652i) q^{38} +(2.11682 + 1.01941i) q^{39} +(1.82040 + 7.97568i) q^{40} +(1.71202 - 7.50085i) q^{41} -1.78501 q^{42} +(5.75591 - 3.14158i) q^{43} +1.24937 q^{44} +(1.55183 - 6.79903i) q^{45} +(2.03070 + 8.89707i) q^{46} +(-4.99170 - 2.40387i) q^{47} +(-0.859080 + 1.07725i) q^{48} -0.668579 q^{49} +2.38458 q^{50} +(0.381864 - 0.478842i) q^{51} +(-2.27560 + 1.09587i) q^{52} +(3.03827 + 3.80987i) q^{53} +(3.59513 - 1.73132i) q^{54} +(1.12184 - 4.91512i) q^{55} +(4.83072 - 6.05753i) q^{56} +(1.00630 - 4.40887i) q^{57} +(0.345865 + 0.166560i) q^{58} +(5.42300 + 6.80022i) q^{59} +(-0.667979 - 0.837620i) q^{60} +(1.55634 + 6.81875i) q^{61} +(7.81525 + 3.76363i) q^{62} +(-5.95075 + 2.86573i) q^{63} +(-1.91684 - 8.39825i) q^{64} +(2.26793 + 9.93643i) q^{65} +(1.21283 - 0.584066i) q^{66} +(-7.14583 - 3.44125i) q^{67} +(0.146508 + 0.641894i) q^{68} +(-3.00865 - 3.77273i) q^{69} +(-4.82786 - 6.05394i) q^{70} +(-9.47442 - 4.56264i) q^{71} +(-1.79851 + 7.87981i) q^{72} +(-9.85126 + 12.3531i) q^{73} +(-1.68841 + 7.39739i) q^{74} +(-1.13603 + 0.547083i) q^{75} +(3.03107 + 3.80084i) q^{76} +(-4.30188 + 2.07168i) q^{77} +(-1.69674 + 2.12764i) q^{78} -12.8820 q^{79} -5.97707 q^{80} +(3.59424 - 4.50704i) q^{81} +(8.02896 + 3.86654i) q^{82} +(0.742700 + 3.25398i) q^{83} +(-0.225783 + 0.989221i) q^{84} +2.65683 q^{85} +(2.06405 + 7.30947i) q^{86} -0.202985 q^{87} +(-1.30017 + 5.69643i) q^{88} +(2.76586 + 12.1180i) q^{89} +(7.27772 + 3.50477i) q^{90} +(6.01831 - 7.54672i) q^{91} +5.18746 q^{92} -4.58671 q^{93} +(4.00110 - 5.01722i) q^{94} +(17.6746 - 8.51163i) q^{95} +(1.35659 + 1.70111i) q^{96} +(-17.1615 + 8.26455i) q^{97} +(0.172320 - 0.754981i) q^{98} +(3.10555 - 3.89424i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9}+O(q^{10}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9} - 8 q^{10} - 12 q^{11} - 24 q^{12} - 5 q^{13} - 8 q^{14} - q^{15} - 58 q^{16} - 30 q^{17} + 36 q^{18} - 24 q^{19} - 36 q^{20} - 28 q^{21} + 5 q^{22} + 27 q^{23} - 46 q^{24} - 38 q^{25} + 6 q^{26} - 36 q^{27} - 54 q^{28} + 28 q^{29} - 21 q^{30} + 36 q^{31} + 11 q^{32} + 5 q^{33} - 4 q^{34} + 6 q^{35} + 192 q^{36} + 164 q^{37} + 32 q^{38} - 34 q^{39} + 2 q^{40} + 42 q^{41} - 2 q^{42} - 22 q^{43} + 14 q^{44} + 58 q^{45} - 53 q^{46} + 21 q^{47} - 20 q^{48} + 166 q^{49} + 18 q^{50} - 6 q^{51} + 54 q^{52} + 8 q^{53} - 154 q^{54} - 5 q^{55} - 35 q^{56} + 8 q^{57} + 9 q^{58} - 13 q^{59} - 88 q^{60} - 34 q^{61} - 36 q^{62} - 31 q^{63} - 18 q^{64} + 9 q^{65} + 222 q^{66} - 48 q^{67} - 27 q^{68} + 2 q^{69} - 64 q^{70} - 42 q^{71} + 77 q^{72} - 44 q^{73} - 35 q^{74} - 21 q^{75} + 44 q^{76} - 32 q^{77} + 124 q^{78} - 96 q^{79} + 490 q^{80} - 12 q^{81} - 130 q^{82} - 8 q^{83} + 170 q^{84} + 22 q^{85} - 12 q^{86} - 90 q^{87} - 122 q^{88} - 81 q^{89} + 49 q^{90} - 27 q^{91} - 116 q^{92} + 18 q^{93} - 124 q^{94} + 117 q^{95} + 52 q^{96} - 79 q^{97} - 54 q^{98} - 39 q^{99}+O(q^{100}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9 - 8 * q^10 - 12 * q^11 - 24 * q^12 - 5 * q^13 - 8 * q^14 - q^15 - 58 * q^16 - 30 * q^17 + 36 * q^18 - 24 * q^19 - 36 * q^20 - 28 * q^21 + 5 * q^22 + 27 * q^23 - 46 * q^24 - 38 * q^25 + 6 * q^26 - 36 * q^27 - 54 * q^28 + 28 * q^29 - 21 * q^30 + 36 * q^31 + 11 * q^32 + 5 * q^33 - 4 * q^34 + 6 * q^35 + 192 * q^36 + 164 * q^37 + 32 * q^38 - 34 * q^39 + 2 * q^40 + 42 * q^41 - 2 * q^42 - 22 * q^43 + 14 * q^44 + 58 * q^45 - 53 * q^46 + 21 * q^47 - 20 * q^48 + 166 * q^49 + 18 * q^50 - 6 * q^51 + 54 * q^52 + 8 * q^53 - 154 * q^54 - 5 * q^55 - 35 * q^56 + 8 * q^57 + 9 * q^58 - 13 * q^59 - 88 * q^60 - 34 * q^61 - 36 * q^62 - 31 * q^63 - 18 * q^64 + 9 * q^65 + 222 * q^66 - 48 * q^67 - 27 * q^68 + 2 * q^69 - 64 * q^70 - 42 * q^71 + 77 * q^72 - 44 * q^73 - 35 * q^74 - 21 * q^75 + 44 * q^76 - 32 * q^77 + 124 * q^78 - 96 * q^79 + 490 * q^80 - 12 * q^81 - 130 * q^82 - 8 * q^83 + 170 * q^84 + 22 * q^85 - 12 * q^86 - 90 * q^87 - 122 * q^88 - 81 * q^89 + 49 * q^90 - 27 * q^91 - 116 * q^92 + 18 * q^93 - 124 * q^94 + 117 * q^95 + 52 * q^96 - 79 * q^97 - 54 * q^98 - 39 * q^99

Introduction

L-functions

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